diff --git a/post/2023-09-19-cuda_5.0/index.html b/post/2023-09-19-cuda_5.0/index.html
index 2ba72df..7551ebf 100644
--- a/post/2023-09-19-cuda_5.0/index.html
+++ b/post/2023-09-19-cuda_5.0/index.html
@@ -9,7 +9,8 @@
 
   <link rel="stylesheet" href="/css/bootstrap.min.css">
   
-  
+   <link rel="stylesheet" href="/libs/highlight/github.min.css">
+ 
 
   <style>
  .hljs {
@@ -148,7 +149,92 @@ <h1>CUDA.jl 5.0: Integrated profiler and task synchronization changes</h1>
 <!-- Content appended here -->
 
 <p>CUDA.jl 5.0 is an major release that adds an integrated profiler to CUDA.jl, and reworks how tasks are synchronized. The release is slightly breaking, as it changes how local toolkits are handled and raises the minimum Julia and CUDA versions.</p>
-<p>This post is located at <a href="https://info.juliahub.com/cuda-jl-5-0-changes">https://info.juliahub.com/cuda-jl-5-0-changes</a></p>
+<h2 id="integrated_profiler"><a href="#integrated_profiler" class="header-anchor">Integrated profiler</a></h2>
+<p>The most exciting new feature in CUDA.jl 5.0 is <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2024">the new integrated profiler</a>, which is similar to the <code>@profile</code> macro from the Julia standard library. The profiler can be used by simply prefixing any code that uses the CUDA libraries with <code>CUDA.@profile</code>:</p>
+<pre><code class="language-julia-repl">julia&gt; CUDA.@profile CUDA.rand&#40;1&#41;.&#43;1
+Profiler ran for 268.46 µs, capturing 21 events.
+
+Host-side activity: calling CUDA APIs took 230.79 µs &#40;85.97&#37; of the trace&#41;
+┌──────────┬───────────┬───────┬───────────┬───────────┬───────────┬─────────────────────────┐
+│ Time &#40;&#37;&#41; │      Time │ Calls │  Avg time │  Min time │  Max time │ Name                    │
+├──────────┼───────────┼───────┼───────────┼───────────┼───────────┼─────────────────────────┤
+│   76.47&#37; │ 205.28 µs │     1 │ 205.28 µs │ 205.28 µs │ 205.28 µs │ cudaLaunchKernel        │
+│    5.42&#37; │  14.54 µs │     2 │   7.27 µs │   5.01 µs │   9.54 µs │ cuMemAllocFromPoolAsync │
+│    2.93&#37; │   7.87 µs │     1 │   7.87 µs │   7.87 µs │   7.87 µs │ cuLaunchKernel          │
+│    0.36&#37; │ 953.67 ns │     2 │ 476.84 ns │    0.0 ns │ 953.67 ns │ cudaGetLastError        │
+└──────────┴───────────┴───────┴───────────┴───────────┴───────────┴─────────────────────────┘
+
+Device-side activity: GPU was busy for 2.15 µs &#40;0.80&#37; of the trace&#41;
+┌──────────┬───────────┬───────┬───────────┬───────────┬───────────┬──────────────────────────────
+│ Time &#40;&#37;&#41; │      Time │ Calls │  Avg time │  Min time │  Max time │ Name                        ⋯
+├──────────┼───────────┼───────┼───────────┼───────────┼───────────┼──────────────────────────────
+│    0.44&#37; │   1.19 µs │     1 │   1.19 µs │   1.19 µs │   1.19 µs │ _Z13gen_sequencedI17curandS ⋯
+│    0.36&#37; │ 953.67 ns │     1 │ 953.67 ns │ 953.67 ns │ 953.67 ns │ _Z16broadcast_kernel15CuKer ⋯
+└──────────┴───────────┴───────┴───────────┴───────────┴───────────┴──────────────────────────────
+                                                                                  1 column omitted
+1-element CuArray&#123;Float32, 1, CUDA.Mem.DeviceBuffer&#125;:
+ 1.7242923</code></pre>
+<p>The output shown above is a summary of what happened during the execution of the code. It is split into two sections: <strong>host-side activity</strong>, i.e., API calls to the CUDA libraries, and the resulting <strong>device-side activity</strong>. As part of each section, the output shows the time spent and the ratio to the total execution time. These ratios are important, and a good tool to quickly assess the performance of your code. For example, in the above output, we see that most of the time is spent on the host calling the CUDA libraries, and only very little time is actually spent computing things on the GPU. This indicates that the GPU is severely underutilized, which can be solved by increasing the problem size.</p>
+<p>Instead of a summary, it is also possible to view a <strong>chronological trace</strong> by passing the <code>trace&#61;true</code> keyword argument:</p>
+<pre><code class="language-julia-repl">julia&gt; CUDA.@profile trace&#61;true CUDA.rand&#40;1&#41;.&#43;1;
+Profiler ran for 262.98 µs, capturing 21 events.
+
+Host-side activity: calling CUDA APIs took 227.21 µs &#40;86.40&#37; of the trace&#41;
+┌────┬───────────┬───────────┬─────────────────────────┬────────────────────────┐
+│ ID │     Start │      Time │                    Name │ Details                │
+├────┼───────────┼───────────┼─────────────────────────┼────────────────────────┤
+│  5 │   6.44 µs │   9.06 µs │ cuMemAllocFromPoolAsync │ 4 bytes, device memory │
+│  7 │  19.31 µs │ 715.26 ns │        cudaGetLastError │ -                      │
+│  8 │  22.41 µs │ 204.09 µs │        cudaLaunchKernel │ -                      │
+│  9 │ 227.21 µs │    0.0 ns │        cudaGetLastError │ -                      │
+│ 14 │  232.7 µs │   3.58 µs │ cuMemAllocFromPoolAsync │ 4 bytes, device memory │
+│ 18 │ 250.34 µs │   7.39 µs │          cuLaunchKernel │ -                      │
+└────┴───────────┴───────────┴─────────────────────────┴────────────────────────┘
+
+Device-side activity: GPU was busy for 2.38 µs &#40;0.91&#37; of the trace&#41;
+┌────┬───────────┬─────────┬─────────┬────────┬──────┬────────────────────────────────────────────
+│ ID │     Start │    Time │ Threads │ Blocks │ Regs │ Name                                      ⋯
+├────┼───────────┼─────────┼─────────┼────────┼──────┼────────────────────────────────────────────
+│  8 │ 225.31 µs │ 1.19 µs │      64 │     64 │   38 │ _Z13gen_sequencedI17curandStateXORWOWfiXa ⋯
+│ 18 │ 257.73 µs │ 1.19 µs │       1 │      1 │   18 │ _Z16broadcast_kernel15CuKernelContext13Cu ⋯
+└────┴───────────┴─────────┴─────────┴────────┴──────┴────────────────────────────────────────────
+                                                                                  1 column omitted</code></pre>
+<p>Here, we can see a list of events that the profiler captured. Each event has a unique ID, which can be used to corelate host-side and device-side events. For example, we can see that event 8 on the host is a call to <code>cudaLaunchKernel</code>, which corresponds to to the execution of a CURAND kernel on the device.</p>
+<p>The integrated profiler is a great tool to quickly assess the performance of your GPU application, identify bottlenecks, and find opportunities for optimization. For complex applications, however, it is still recommended to use NVIDIA&#39;s NSight Systems or Compute profilers, which provide a more detailed, graphical view of what is happening on the GPU.</p>
+<h2 id="synchronization_on_worker_threads"><a href="#synchronization_on_worker_threads" class="header-anchor">Synchronization on worker threads</a></h2>
+<p>Another noteworthy change affects how tasks are synchronized. To enable concurrent execution, i.e., to make it possible for other Julia tasks to execute while waiting for the GPU to finish, CUDA.jl used to rely on so-called stream callbacks. These callbacks were a significant source of latency, at least 25us per invocation but sometimes <em>much</em> longer, and have also been slated for deprecation and eventual removal from the CUDA toolkit.</p>
+<p>Instead, on Julia 1.9 and later, CUDA.jl <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2025">now uses</a> worker threads to wait for GPU operations to finish. This mechanism is significantly faster, taking around 5us per invocation, but more importantly offers a much more reliable and predictable latency. You can observe this mechanism using the integrated profiler:</p>
+<pre><code class="language-julia-repl">julia&gt; a &#61; CUDA.rand&#40;1024, 1024, 1024&#41;
+julia&gt; CUDA.@profile trace&#61;true CUDA.@sync a .&#43; a
+Profiler ran for 12.29 ms, capturing 527 events.
+
+Host-side activity: calling CUDA APIs took 11.75 ms &#40;95.64&#37; of the trace&#41;
+┌─────┬───────────┬───────────┬────────┬─────────────────────────┐
+│  ID │     Start │      Time │ Thread │                    Name │
+├─────┼───────────┼───────────┼────────┼─────────────────────────┤
+│   5 │   6.91 µs │  13.59 µs │      1 │ cuMemAllocFromPoolAsync │
+│   9 │  36.72 µs │ 199.56 µs │      1 │          cuLaunchKernel │
+│ 525 │ 510.69 µs │  11.75 ms │      2 │     cuStreamSynchronize │
+└─────┴───────────┴───────────┴────────┴─────────────────────────┘</code></pre>
+<p>For some users, this may still be too slow, so we have added two mechanisms that disable nonblocking synchronization and simply block the calling thread until the GPU operation finishes. The first is a global setting, which can be enabled by setting the <code>nonblocking_synchronization</code> preference to <code>false</code>, which can be done using Preferences.jl. <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2060">The second</a> is a fine-grained flag to pass to synchronization functions: <code>synchronize&#40;x; blocking&#61;true&#41;</code>, <code>CUDA.@sync blocking&#61;true
+...</code>, etc. Both these mechanisms should <em>not</em> be used widely, and are only intended for use in latency-critical code, e.g., when benchmarking or profiling.</p>
+<h2 id="local_toolkit_discovery"><a href="#local_toolkit_discovery" class="header-anchor">Local toolkit discovery</a></h2>
+<p>One of the breaking changes involves <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2058">how local toolkits are discovered</a>, when opting out of the use of artifacts. Previously, this could be enabled by calling <code>CUDA.set_runtime_version&#33;&#40;&quot;local&quot;&#41;</code>, which generated a <code>version &#61; &quot;local&quot;</code> preference. We are now changing this into two separate preferences, <code>version</code> and <code>local</code>, where the <code>version</code> preference overrides the version of the CUDA toolkit, and the <code>local</code> preference independently indicates whether to use a local CUDA toolkit or not.</p>
+<p>Concretely, this means that you will now need to call <code>CUDA.set_runtime_version&#33;&#40;local_toolkit&#61;true&#41;</code> to enable the use of a local toolkit. The toolkit version will be auto-detected, but can be overridden by also passing a version: <code>CUDA.set_runtime_version&#33;&#40;version; local_toolkit&#61;true&#41;</code>. This may be necessary when CUDA is not available during precompilation, e.g., on the log-in node of a cluster, or when building a container image.</p>
+<h2 id="raised_minimum_requirements"><a href="#raised_minimum_requirements" class="header-anchor">Raised minimum requirements</a></h2>
+<p>Finally, CUDA.jl 5.0 raises the minimum Julia and CUDA versions. The minimum Julia version is now 1.8, which should be enforced by the Julia package manager. The minimum CUDA toolkit version is now 11.4, but this cannot be enforced by the package manager. As a result, if you need to use an older version of the CUDA toolkit, you will need to pin CUDA.jl to v4.4 or below. <a href="https://github.com/JuliaGPU/CUDA.jl/blob/master/README.md">The README</a> will maintain a table of supported CUDA toolkit versions.</p>
+<p>Most users will not be affected by this change: If you use the artifact-provided CUDA toolkit, you will automatically get the latest version supported by your CUDA driver.</p>
+<h2 id="other_changes"><a href="#other_changes" class="header-anchor">Other changes</a></h2>
+<ul>
+<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/2034">Support for CUDA 12.2</a>;</p>
+</li>
+<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/2040">Memory limits</a> are now enforced by CUDA, resulting in better performance;</p>
+</li>
+<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/1946">Support for Julia 1.10</a> &#40;with help from <a href="https://github.com/dkarrasch">@dkarrasch</a>&#41;;</p>
+</li>
+<li><p>Support for batched <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1975"><code>gemm</code></a>, <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1981"><code>gemv</code></a> and <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2063"><code>svd</code></a> &#40;by <a href="https://github.com/lpawela">@lpawela</a> and <a href="https://github.com/nikopj">@nikopj</a>.</p>
+</li>
+</ul>
 <!-- CONTENT ENDS HERE -->
       </main>
     </div> <!-- class="container" -->
@@ -156,6 +242,10 @@ <h1>CUDA.jl 5.0: Integrated profiler and task synchronization changes</h1>
 
     
     
+        <script src="/libs/highlight/highlight.min.js"></script>
+<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
+
+    
 
     <footer id=footer class="mt-auto text-center text-muted">
         <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
diff --git a/post/2023-11-07-cuda_5.1/index.html b/post/2023-11-07-cuda_5.1/index.html
index 72a1a1b..9f91f33 100644
--- a/post/2023-11-07-cuda_5.1/index.html
+++ b/post/2023-11-07-cuda_5.1/index.html
@@ -9,7 +9,8 @@
 
   <link rel="stylesheet" href="/css/bootstrap.min.css">
   
-  
+   <link rel="stylesheet" href="/libs/highlight/github.min.css">
+ 
 
   <style>
  .hljs {
@@ -148,7 +149,124 @@ <h1>CUDA.jl 5.1: Unified memory and cooperative groups</h1>
 <!-- Content appended here -->
 
 <p>CUDA.jl 5.1 greatly improves the support of two important parts of the CUDA toolkit: unified memory, for accessing GPU memory on the CPU and vice-versa, and cooperative groups which offer a more modular approach to kernel programming.</p>
-<p>This post is located at <a href="https://info.juliahub.com/cuda-jl-5-1-unified-memory">https://info.juliahub.com/cuda-jl-5-1-unified-memory</a></p>
+<h1 id="cudajl_51_unified_memory_and_cooperative_groups"><a href="#cudajl_51_unified_memory_and_cooperative_groups" class="header-anchor">CUDA.jl 5.1: Unified memory and cooperative groups</a></h1>
+<p>CUDA.jl 5.1 greatly improves the support of two important parts of the CUDA toolkit: unified memory, for accessing GPU memory on the CPU and vice-versa, and cooperative groups which offer a more modular approach to kernel programming.</p>
+<h2 id="unified_memory"><a href="#unified_memory" class="header-anchor">Unified memory</a></h2>
+<p>Unified memory is a feature of CUDA that allows the programmer to <strong>access memory from both the CPU and GPU</strong>, relying on the driver to move data between the two. This can be useful for a variety of reasons: to avoid explicit memory copies, to use more memory than the GPU has available, or to be able to incrementally port code to the GPU and still have parts of the application run on the CPU.</p>
+<p>CUDA.jl did already support unified memory, but only for the most basic use cases. With CUDA.jl 5.1, it is now easier to allocate unified memory, and more convenient to use that memory from the CPU:</p>
+<pre><code class="language-julia-repl">julia&gt; gpu &#61; cu&#40;&#91;1., 2.&#93;; unified&#61;true&#41;
+2-element CuArray&#123;Float32, 1, CUDA.Mem.UnifiedBuffer&#125;:
+ 1.0
+ 2.0
+
+julia&gt; # accessing GPU memory from the CPU
+       gpu&#91;1&#93; &#61; 3;
+
+julia&gt; gpu
+2-element CuArray&#123;Float32, 1, CUDA.Mem.UnifiedBuffer&#125;:
+ 3.0
+ 2.0</code></pre>
+<p>Accessing GPU memory like this used to throw an error, but with CUDA.jl 5.1 it is <strong>safe and efficient to perform scalar iteration on <code>CuArray</code>s backed by unified memory</strong>. This greatly simplifies porting applications to the GPU, as it no longer is a problem when code uses <code>AbstractArray</code> fallbacks from Base that process element by element.</p>
+<p>In addition, CUDA.jl 5.1 also makes it <strong>easier to convert <code>CuArray</code>s to <code>Array</code> objects</strong>. This is important when wanting to use high-performance CPU libraries like BLAS or LAPACK which do not support <code>CuArray</code>s:</p>
+<pre><code class="language-julia-repl">julia&gt; cpu &#61; unsafe_wrap&#40;Array, gpu&#41;
+2-element Vector&#123;Float32&#125;:
+ 3.0
+ 2.0
+
+julia&gt; LinearAlgebra.BLAS.scal&#33;&#40;2f0, cpu&#41;;
+
+julia&gt; gpu
+2-element CuArray&#123;Float32, 1, CUDA.Mem.UnifiedBuffer&#125;:
+ 6.0
+ 4.0</code></pre>
+<p>The reverse is also possible: CPU-based <code>Array</code>s can now trivially be converted to <code>CuArray</code> objects for use on the GPU, <strong>without the need to explicitly allocate unified memory</strong>. This further simplifies memory management, as it makes it possible to use the GPU inside of an existing application without having to copy data into a <code>CuArray</code>:</p>
+<pre><code class="language-julia-repl">julia&gt; gpu &#61; unsafe_wrap&#40;CuArray, cpu&#41;
+2-element CuArray&#123;Int64, 1, CUDA.Mem.UnifiedBuffer&#125;:
+ 1
+ 2
+
+julia&gt; CUDA.@sync gpu .&#43;&#61; 1;
+
+julia&gt; cpu
+2-element Vector&#123;Int64&#125;:
+ 2
+ 3</code></pre>
+<p>Note that the above methods are prefixed <code>unsafe</code> because of how they require <strong>careful management of object lifetimes</strong>: When creating an <code>Array</code> from a <code>CuArray</code>, the <code>CuArray</code> must be kept alive for as long as the <code>Array</code> is used, and vice-versa when creating a <code>CuArray</code> from an <code>Array</code>. Explicit synchronization &#40;i.e. waiting for the GPU to finish computing&#41; is also required, as CUDA.jl cannot synchronize automatically when accessing GPU memory through a CPU pointer.</p>
+<p>For now, CUDA.jl still defaults to device memory for unspecified allocations. This can be changed using the <code>default_memory</code> <a href="https://github.com/JuliaPackaging/Preferences.jl">preference</a> of the CUDA.jl module, which can be set to either <code>&quot;device&quot;</code>, <code>&quot;unified&quot;</code> or <code>&quot;host&quot;</code>. When these changes have been sufficiently tested, and the remaining rough edges have been smoothed out, we may consider switching the default allocator.</p>
+<h2 id="cooperative_groups"><a href="#cooperative_groups" class="header-anchor">Cooperative groups</a></h2>
+<p>Another major improvement in CUDA.jl 5.1 are the greatly expanded wrappers for the CUDA cooperative groups API. Cooperative groups are a low-level feature of CUDA that make it possible to <strong>write kernels that are more flexible than the traditional approach</strong> of differentiating computations based on thread and block indices. Instead, cooperative groups allow the programmer to use objects representing groups of threads, pass those around, and differentiate computations based on queries on those objects.</p>
+<p>For example, let&#39;s port the example from the <a href="https://developer.nvidia.com/blog/cooperative-groups/">introductory NVIDIA blogpost post</a>, which provides a function to compute the sum of an array in parallel:</p>
+<pre><code class="language-julia">function reduce_sum&#40;group, temp, val&#41;
+    lane &#61; CG.thread_rank&#40;group&#41;
+
+    # Each iteration halves the number of active threads
+    # Each thread adds its partial sum&#91;i&#93; to sum&#91;lane&#43;i&#93;
+    i &#61; CG.num_threads&#40;group&#41; ÷ 2
+    while i &gt; 0
+        temp&#91;lane&#93; &#61; val
+        CG.sync&#40;group&#41;
+        if lane &lt;&#61; i
+            val &#43;&#61; temp&#91;lane &#43; i&#93;
+        end
+        CG.sync&#40;group&#41;
+        i ÷&#61; 2
+    end
+
+    return val  # note: only thread 1 will return full sum
+end</code></pre>
+<p>When the threads of a group call this function, they cooperatively compute the sum of the values passed by each thread in the group. For example, let&#39;s write a kernel that calls this function using a group representing the current thread block:</p>
+<pre><code class="language-julia">function sum_kernel_block&#40;sum::AbstractArray&#123;T&#125;,
+                          input::AbstractArray&#123;T&#125;&#41; where T
+    # have each thread compute a partial sum
+    my_sum &#61; thread_sum&#40;input&#41;
+
+    # perform a cooperative summation
+    temp &#61; CuStaticSharedArray&#40;T, 256&#41;
+    g &#61; CG.this_thread_block&#40;&#41;
+    block_sum &#61; reduce_sum&#40;g, temp, my_sum&#41;
+
+    # combine the block sums
+    if CG.thread_rank&#40;g&#41; &#61;&#61; 1
+        CUDA.@atomic sum&#91;&#93; &#43;&#61; block_sum
+    end
+
+    return
+end
+
+function thread_sum&#40;input::AbstractArray&#123;T&#125;&#41; where T
+    sum &#61; zero&#40;T&#41;
+
+    i &#61; &#40;blockIdx&#40;&#41;.x-1&#41; * blockDim&#40;&#41;.x &#43; threadIdx&#40;&#41;.x
+    stride &#61; blockDim&#40;&#41;.x * gridDim&#40;&#41;.x
+    while i &lt;&#61; length&#40;input&#41;
+        sum &#43;&#61; input&#91;i&#93;
+        i &#43;&#61; stride
+    end
+
+    return sum
+end
+
+n &#61; 1&lt;&lt;24
+threads &#61; 256
+blocks &#61; cld&#40;n, threads&#41;
+
+data &#61; CUDA.rand&#40;n&#41;
+sum &#61; CUDA.fill&#40;zero&#40;eltype&#40;data&#41;&#41;, 1&#41;
+@cuda threads&#61;threads blocks&#61;blocks sum_kernel_block&#40;sum, data&#41;</code></pre>
+<p>This style of programming makes it possible to write kernels that are safer and more modular than traditional kernels. Some CUDA features also require the use of cooperative groups, for example, asynchronous memory copies between global and shared memory are done using the <code>CG.memcpy_async</code> function.</p>
+<p>With CUDA.jl 5.1, it is now possible to use a large part of these APIs from Julia. Support has been added for implicit groups &#40;with the exception of cluster groups and the deprecated multi-grid groups&#41;, all relevant queries on these groups, as well as the many important collective functions, such as <code>shuffle</code>, <code>vote</code>, and <code>memcpy_async</code>. Support for explicit groups is still missing, as are collectives like <code>reduce</code> and <code>invoke</code>. For more information, refer to <a href="https://cuda.juliagpu.org/dev/development/kernel/#Cooperative-groups">the CUDA.jl documentation</a>.</p>
+<h2 id="other_updates"><a href="#other_updates" class="header-anchor">Other updates</a></h2>
+<p>Apart from these two major features, CUDA.jl 5.1 also includes a number of smaller fixes and improvements:</p>
+<ul>
+<li><p>Support for CUDA 12.3</p>
+</li>
+<li><p>Performance improvements related to memory copies, which regressed in CUDA 5.0</p>
+</li>
+<li><p>Improvements to the native profiler &#40;<code>CUDA.@profiler</code>&#41;, now also showing local memory usage, supporting more NVTX metadata, and with better support for Pluto.jl and Jupyter</p>
+</li>
+<li><p>Many CUSOLVER and CUSPARSE improvements by <a href="https://github.com/amontoison">@amontoison</a></p>
+</li>
+</ul>
 <!-- CONTENT ENDS HERE -->
       </main>
     </div> <!-- class="container" -->
@@ -156,6 +274,10 @@ <h1>CUDA.jl 5.1: Unified memory and cooperative groups</h1>
 
     
     
+        <script src="/libs/highlight/highlight.min.js"></script>
+<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
+
+    
 
     <footer id=footer class="mt-auto text-center text-muted">
         <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
diff --git a/post/index.xml b/post/index.xml
index 61ffebb..eb53497 100644
--- a/post/index.xml
+++ b/post/index.xml
@@ -26,7 +26,92 @@
   
   <content:encoded><![CDATA[
 <p>CUDA.jl 5.1 greatly improves the support of two important parts of the CUDA toolkit: unified memory, for accessing GPU memory on the CPU and vice-versa, and cooperative groups which offer a more modular approach to kernel programming.</p>
-<p>This post is located at <a href="https://info.juliahub.com/cuda-jl-5-1-unified-memory">https://info.juliahub.com/cuda-jl-5-1-unified-memory</a></p>
+<h1 id="cudajl_51_unified_memory_and_cooperative_groups">CUDA.jl 5.1: Unified memory and cooperative groups</h1>
+<p>CUDA.jl 5.1 greatly improves the support of two important parts of the CUDA toolkit: unified memory, for accessing GPU memory on the CPU and vice-versa, and cooperative groups which offer a more modular approach to kernel programming.</p>
+<h2 id="unified_memory">Unified memory</h2>
+<p>Unified memory is a feature of CUDA that allows the programmer to <strong>access memory from both the CPU and GPU</strong>, relying on the driver to move data between the two. This can be useful for a variety of reasons: to avoid explicit memory copies, to use more memory than the GPU has available, or to be able to incrementally port code to the GPU and still have parts of the application run on the CPU.</p>
+<p>CUDA.jl did already support unified memory, but only for the most basic use cases. With CUDA.jl 5.1, it is now easier to allocate unified memory, and more convenient to use that memory from the CPU:</p>
+<pre><code class="language-julia-repl">julia&gt; gpu &#61; cu&#40;&#91;1., 2.&#93;; unified&#61;true&#41;
+2-element CuArray&#123;Float32, 1, CUDA.Mem.UnifiedBuffer&#125;:
+ 1.0
+ 2.0julia&gt; # accessing GPU memory from the CPU
+       gpu&#91;1&#93; &#61; 3;julia&gt; gpu
+2-element CuArray&#123;Float32, 1, CUDA.Mem.UnifiedBuffer&#125;:
+ 3.0
+ 2.0</code></pre>
+<p>Accessing GPU memory like this used to throw an error, but with CUDA.jl 5.1 it is <strong>safe and efficient to perform scalar iteration on <code>CuArray</code>s backed by unified memory</strong>. This greatly simplifies porting applications to the GPU, as it no longer is a problem when code uses <code>AbstractArray</code> fallbacks from Base that process element by element.</p>
+<p>In addition, CUDA.jl 5.1 also makes it <strong>easier to convert <code>CuArray</code>s to <code>Array</code> objects</strong>. This is important when wanting to use high-performance CPU libraries like BLAS or LAPACK which do not support <code>CuArray</code>s:</p>
+<pre><code class="language-julia-repl">julia&gt; cpu &#61; unsafe_wrap&#40;Array, gpu&#41;
+2-element Vector&#123;Float32&#125;:
+ 3.0
+ 2.0julia&gt; LinearAlgebra.BLAS.scal&#33;&#40;2f0, cpu&#41;;julia&gt; gpu
+2-element CuArray&#123;Float32, 1, CUDA.Mem.UnifiedBuffer&#125;:
+ 6.0
+ 4.0</code></pre>
+<p>The reverse is also possible: CPU-based <code>Array</code>s can now trivially be converted to <code>CuArray</code> objects for use on the GPU, <strong>without the need to explicitly allocate unified memory</strong>. This further simplifies memory management, as it makes it possible to use the GPU inside of an existing application without having to copy data into a <code>CuArray</code>:</p>
+<pre><code class="language-julia-repl">julia&gt; gpu &#61; unsafe_wrap&#40;CuArray, cpu&#41;
+2-element CuArray&#123;Int64, 1, CUDA.Mem.UnifiedBuffer&#125;:
+ 1
+ 2julia&gt; CUDA.@sync gpu .&#43;&#61; 1;julia&gt; cpu
+2-element Vector&#123;Int64&#125;:
+ 2
+ 3</code></pre>
+<p>Note that the above methods are prefixed <code>unsafe</code> because of how they require <strong>careful management of object lifetimes</strong>: When creating an <code>Array</code> from a <code>CuArray</code>, the <code>CuArray</code> must be kept alive for as long as the <code>Array</code> is used, and vice-versa when creating a <code>CuArray</code> from an <code>Array</code>. Explicit synchronization &#40;i.e. waiting for the GPU to finish computing&#41; is also required, as CUDA.jl cannot synchronize automatically when accessing GPU memory through a CPU pointer.</p>
+<p>For now, CUDA.jl still defaults to device memory for unspecified allocations. This can be changed using the <code>default_memory</code> <a href="https://github.com/JuliaPackaging/Preferences.jl">preference</a> of the CUDA.jl module, which can be set to either <code>&quot;device&quot;</code>, <code>&quot;unified&quot;</code> or <code>&quot;host&quot;</code>. When these changes have been sufficiently tested, and the remaining rough edges have been smoothed out, we may consider switching the default allocator.</p>
+<h2 id="cooperative_groups">Cooperative groups</h2>
+<p>Another major improvement in CUDA.jl 5.1 are the greatly expanded wrappers for the CUDA cooperative groups API. Cooperative groups are a low-level feature of CUDA that make it possible to <strong>write kernels that are more flexible than the traditional approach</strong> of differentiating computations based on thread and block indices. Instead, cooperative groups allow the programmer to use objects representing groups of threads, pass those around, and differentiate computations based on queries on those objects.</p>
+<p>For example, let&#39;s port the example from the <a href="https://developer.nvidia.com/blog/cooperative-groups/">introductory NVIDIA blogpost post</a>, which provides a function to compute the sum of an array in parallel:</p>
+<pre><code class="language-julia">function reduce_sum&#40;group, temp, val&#41;
+    lane &#61; CG.thread_rank&#40;group&#41;    # Each iteration halves the number of active threads
+    # Each thread adds its partial sum&#91;i&#93; to sum&#91;lane&#43;i&#93;
+    i &#61; CG.num_threads&#40;group&#41; ÷ 2
+    while i &gt; 0
+        temp&#91;lane&#93; &#61; val
+        CG.sync&#40;group&#41;
+        if lane &lt;&#61; i
+            val &#43;&#61; temp&#91;lane &#43; i&#93;
+        end
+        CG.sync&#40;group&#41;
+        i ÷&#61; 2
+    end    return val  # note: only thread 1 will return full sum
+end</code></pre>
+<p>When the threads of a group call this function, they cooperatively compute the sum of the values passed by each thread in the group. For example, let&#39;s write a kernel that calls this function using a group representing the current thread block:</p>
+<pre><code class="language-julia">function sum_kernel_block&#40;sum::AbstractArray&#123;T&#125;,
+                          input::AbstractArray&#123;T&#125;&#41; where T
+    # have each thread compute a partial sum
+    my_sum &#61; thread_sum&#40;input&#41;    # perform a cooperative summation
+    temp &#61; CuStaticSharedArray&#40;T, 256&#41;
+    g &#61; CG.this_thread_block&#40;&#41;
+    block_sum &#61; reduce_sum&#40;g, temp, my_sum&#41;    # combine the block sums
+    if CG.thread_rank&#40;g&#41; &#61;&#61; 1
+        CUDA.@atomic sum&#91;&#93; &#43;&#61; block_sum
+    end    return
+endfunction thread_sum&#40;input::AbstractArray&#123;T&#125;&#41; where T
+    sum &#61; zero&#40;T&#41;    i &#61; &#40;blockIdx&#40;&#41;.x-1&#41; * blockDim&#40;&#41;.x &#43; threadIdx&#40;&#41;.x
+    stride &#61; blockDim&#40;&#41;.x * gridDim&#40;&#41;.x
+    while i &lt;&#61; length&#40;input&#41;
+        sum &#43;&#61; input&#91;i&#93;
+        i &#43;&#61; stride
+    end    return sum
+endn &#61; 1&lt;&lt;24
+threads &#61; 256
+blocks &#61; cld&#40;n, threads&#41;data &#61; CUDA.rand&#40;n&#41;
+sum &#61; CUDA.fill&#40;zero&#40;eltype&#40;data&#41;&#41;, 1&#41;
+@cuda threads&#61;threads blocks&#61;blocks sum_kernel_block&#40;sum, data&#41;</code></pre>
+<p>This style of programming makes it possible to write kernels that are safer and more modular than traditional kernels. Some CUDA features also require the use of cooperative groups, for example, asynchronous memory copies between global and shared memory are done using the <code>CG.memcpy_async</code> function.</p>
+<p>With CUDA.jl 5.1, it is now possible to use a large part of these APIs from Julia. Support has been added for implicit groups &#40;with the exception of cluster groups and the deprecated multi-grid groups&#41;, all relevant queries on these groups, as well as the many important collective functions, such as <code>shuffle</code>, <code>vote</code>, and <code>memcpy_async</code>. Support for explicit groups is still missing, as are collectives like <code>reduce</code> and <code>invoke</code>. For more information, refer to <a href="https://cuda.juliagpu.org/dev/development/kernel/#Cooperative-groups">the CUDA.jl documentation</a>.</p>
+<h2 id="other_updates">Other updates</h2>
+<p>Apart from these two major features, CUDA.jl 5.1 also includes a number of smaller fixes and improvements:</p>
+<ul>
+<li><p>Support for CUDA 12.3</p>
+</li>
+<li><p>Performance improvements related to memory copies, which regressed in CUDA 5.0</p>
+</li>
+<li><p>Improvements to the native profiler &#40;<code>CUDA.@profiler</code>&#41;, now also showing local memory usage, supporting more NVTX metadata, and with better support for Pluto.jl and Jupyter</p>
+</li>
+<li><p>Many CUSOLVER and CUSPARSE improvements by <a href="https://github.com/amontoison">@amontoison</a></p>
+</li>
+</ul>
 ]]></content:encoded>
     
   <pubDate>Tue, 07 Nov 2023 00:00:00 +0000</pubDate>  
@@ -46,7 +131,82 @@
   
   <content:encoded><![CDATA[
 <p>CUDA.jl 5.0 is an major release that adds an integrated profiler to CUDA.jl, and reworks how tasks are synchronized. The release is slightly breaking, as it changes how local toolkits are handled and raises the minimum Julia and CUDA versions.</p>
-<p>This post is located at <a href="https://info.juliahub.com/cuda-jl-5-0-changes">https://info.juliahub.com/cuda-jl-5-0-changes</a></p>
+<h2 id="integrated_profiler">Integrated profiler</h2>
+<p>The most exciting new feature in CUDA.jl 5.0 is <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2024">the new integrated profiler</a>, which is similar to the <code>@profile</code> macro from the Julia standard library. The profiler can be used by simply prefixing any code that uses the CUDA libraries with <code>CUDA.@profile</code>:</p>
+<pre><code class="language-julia-repl">julia&gt; CUDA.@profile CUDA.rand&#40;1&#41;.&#43;1
+Profiler ran for 268.46 µs, capturing 21 events.Host-side activity: calling CUDA APIs took 230.79 µs &#40;85.97&#37; of the trace&#41;
+┌──────────┬───────────┬───────┬───────────┬───────────┬───────────┬─────────────────────────┐
+│ Time &#40;&#37;&#41; │      Time │ Calls │  Avg time │  Min time │  Max time │ Name                    │
+├──────────┼───────────┼───────┼───────────┼───────────┼───────────┼─────────────────────────┤
+│   76.47&#37; │ 205.28 µs │     1 │ 205.28 µs │ 205.28 µs │ 205.28 µs │ cudaLaunchKernel        │
+│    5.42&#37; │  14.54 µs │     2 │   7.27 µs │   5.01 µs │   9.54 µs │ cuMemAllocFromPoolAsync │
+│    2.93&#37; │   7.87 µs │     1 │   7.87 µs │   7.87 µs │   7.87 µs │ cuLaunchKernel          │
+│    0.36&#37; │ 953.67 ns │     2 │ 476.84 ns │    0.0 ns │ 953.67 ns │ cudaGetLastError        │
+└──────────┴───────────┴───────┴───────────┴───────────┴───────────┴─────────────────────────┘Device-side activity: GPU was busy for 2.15 µs &#40;0.80&#37; of the trace&#41;
+┌──────────┬───────────┬───────┬───────────┬───────────┬───────────┬──────────────────────────────
+│ Time &#40;&#37;&#41; │      Time │ Calls │  Avg time │  Min time │  Max time │ Name                        ⋯
+├──────────┼───────────┼───────┼───────────┼───────────┼───────────┼──────────────────────────────
+│    0.44&#37; │   1.19 µs │     1 │   1.19 µs │   1.19 µs │   1.19 µs │ _Z13gen_sequencedI17curandS ⋯
+│    0.36&#37; │ 953.67 ns │     1 │ 953.67 ns │ 953.67 ns │ 953.67 ns │ _Z16broadcast_kernel15CuKer ⋯
+└──────────┴───────────┴───────┴───────────┴───────────┴───────────┴──────────────────────────────
+                                                                                  1 column omitted
+1-element CuArray&#123;Float32, 1, CUDA.Mem.DeviceBuffer&#125;:
+ 1.7242923</code></pre>
+<p>The output shown above is a summary of what happened during the execution of the code. It is split into two sections: <strong>host-side activity</strong>, i.e., API calls to the CUDA libraries, and the resulting <strong>device-side activity</strong>. As part of each section, the output shows the time spent and the ratio to the total execution time. These ratios are important, and a good tool to quickly assess the performance of your code. For example, in the above output, we see that most of the time is spent on the host calling the CUDA libraries, and only very little time is actually spent computing things on the GPU. This indicates that the GPU is severely underutilized, which can be solved by increasing the problem size.</p>
+<p>Instead of a summary, it is also possible to view a <strong>chronological trace</strong> by passing the <code>trace&#61;true</code> keyword argument:</p>
+<pre><code class="language-julia-repl">julia&gt; CUDA.@profile trace&#61;true CUDA.rand&#40;1&#41;.&#43;1;
+Profiler ran for 262.98 µs, capturing 21 events.Host-side activity: calling CUDA APIs took 227.21 µs &#40;86.40&#37; of the trace&#41;
+┌────┬───────────┬───────────┬─────────────────────────┬────────────────────────┐
+│ ID │     Start │      Time │                    Name │ Details                │
+├────┼───────────┼───────────┼─────────────────────────┼────────────────────────┤
+│  5 │   6.44 µs │   9.06 µs │ cuMemAllocFromPoolAsync │ 4 bytes, device memory │
+│  7 │  19.31 µs │ 715.26 ns │        cudaGetLastError │ -                      │
+│  8 │  22.41 µs │ 204.09 µs │        cudaLaunchKernel │ -                      │
+│  9 │ 227.21 µs │    0.0 ns │        cudaGetLastError │ -                      │
+│ 14 │  232.7 µs │   3.58 µs │ cuMemAllocFromPoolAsync │ 4 bytes, device memory │
+│ 18 │ 250.34 µs │   7.39 µs │          cuLaunchKernel │ -                      │
+└────┴───────────┴───────────┴─────────────────────────┴────────────────────────┘Device-side activity: GPU was busy for 2.38 µs &#40;0.91&#37; of the trace&#41;
+┌────┬───────────┬─────────┬─────────┬────────┬──────┬────────────────────────────────────────────
+│ ID │     Start │    Time │ Threads │ Blocks │ Regs │ Name                                      ⋯
+├────┼───────────┼─────────┼─────────┼────────┼──────┼────────────────────────────────────────────
+│  8 │ 225.31 µs │ 1.19 µs │      64 │     64 │   38 │ _Z13gen_sequencedI17curandStateXORWOWfiXa ⋯
+│ 18 │ 257.73 µs │ 1.19 µs │       1 │      1 │   18 │ _Z16broadcast_kernel15CuKernelContext13Cu ⋯
+└────┴───────────┴─────────┴─────────┴────────┴──────┴────────────────────────────────────────────
+                                                                                  1 column omitted</code></pre>
+<p>Here, we can see a list of events that the profiler captured. Each event has a unique ID, which can be used to corelate host-side and device-side events. For example, we can see that event 8 on the host is a call to <code>cudaLaunchKernel</code>, which corresponds to to the execution of a CURAND kernel on the device.</p>
+<p>The integrated profiler is a great tool to quickly assess the performance of your GPU application, identify bottlenecks, and find opportunities for optimization. For complex applications, however, it is still recommended to use NVIDIA&#39;s NSight Systems or Compute profilers, which provide a more detailed, graphical view of what is happening on the GPU.</p>
+<h2 id="synchronization_on_worker_threads">Synchronization on worker threads</h2>
+<p>Another noteworthy change affects how tasks are synchronized. To enable concurrent execution, i.e., to make it possible for other Julia tasks to execute while waiting for the GPU to finish, CUDA.jl used to rely on so-called stream callbacks. These callbacks were a significant source of latency, at least 25us per invocation but sometimes <em>much</em> longer, and have also been slated for deprecation and eventual removal from the CUDA toolkit.</p>
+<p>Instead, on Julia 1.9 and later, CUDA.jl <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2025">now uses</a> worker threads to wait for GPU operations to finish. This mechanism is significantly faster, taking around 5us per invocation, but more importantly offers a much more reliable and predictable latency. You can observe this mechanism using the integrated profiler:</p>
+<pre><code class="language-julia-repl">julia&gt; a &#61; CUDA.rand&#40;1024, 1024, 1024&#41;
+julia&gt; CUDA.@profile trace&#61;true CUDA.@sync a .&#43; a
+Profiler ran for 12.29 ms, capturing 527 events.Host-side activity: calling CUDA APIs took 11.75 ms &#40;95.64&#37; of the trace&#41;
+┌─────┬───────────┬───────────┬────────┬─────────────────────────┐
+│  ID │     Start │      Time │ Thread │                    Name │
+├─────┼───────────┼───────────┼────────┼─────────────────────────┤
+│   5 │   6.91 µs │  13.59 µs │      1 │ cuMemAllocFromPoolAsync │
+│   9 │  36.72 µs │ 199.56 µs │      1 │          cuLaunchKernel │
+│ 525 │ 510.69 µs │  11.75 ms │      2 │     cuStreamSynchronize │
+└─────┴───────────┴───────────┴────────┴─────────────────────────┘</code></pre>
+<p>For some users, this may still be too slow, so we have added two mechanisms that disable nonblocking synchronization and simply block the calling thread until the GPU operation finishes. The first is a global setting, which can be enabled by setting the <code>nonblocking_synchronization</code> preference to <code>false</code>, which can be done using Preferences.jl. <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2060">The second</a> is a fine-grained flag to pass to synchronization functions: <code>synchronize&#40;x; blocking&#61;true&#41;</code>, <code>CUDA.@sync blocking&#61;true
+...</code>, etc. Both these mechanisms should <em>not</em> be used widely, and are only intended for use in latency-critical code, e.g., when benchmarking or profiling.</p>
+<h2 id="local_toolkit_discovery">Local toolkit discovery</h2>
+<p>One of the breaking changes involves <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2058">how local toolkits are discovered</a>, when opting out of the use of artifacts. Previously, this could be enabled by calling <code>CUDA.set_runtime_version&#33;&#40;&quot;local&quot;&#41;</code>, which generated a <code>version &#61; &quot;local&quot;</code> preference. We are now changing this into two separate preferences, <code>version</code> and <code>local</code>, where the <code>version</code> preference overrides the version of the CUDA toolkit, and the <code>local</code> preference independently indicates whether to use a local CUDA toolkit or not.</p>
+<p>Concretely, this means that you will now need to call <code>CUDA.set_runtime_version&#33;&#40;local_toolkit&#61;true&#41;</code> to enable the use of a local toolkit. The toolkit version will be auto-detected, but can be overridden by also passing a version: <code>CUDA.set_runtime_version&#33;&#40;version; local_toolkit&#61;true&#41;</code>. This may be necessary when CUDA is not available during precompilation, e.g., on the log-in node of a cluster, or when building a container image.</p>
+<h2 id="raised_minimum_requirements">Raised minimum requirements</h2>
+<p>Finally, CUDA.jl 5.0 raises the minimum Julia and CUDA versions. The minimum Julia version is now 1.8, which should be enforced by the Julia package manager. The minimum CUDA toolkit version is now 11.4, but this cannot be enforced by the package manager. As a result, if you need to use an older version of the CUDA toolkit, you will need to pin CUDA.jl to v4.4 or below. <a href="https://github.com/JuliaGPU/CUDA.jl/blob/master/README.md">The README</a> will maintain a table of supported CUDA toolkit versions.</p>
+<p>Most users will not be affected by this change: If you use the artifact-provided CUDA toolkit, you will automatically get the latest version supported by your CUDA driver.</p>
+<h2 id="other_changes">Other changes</h2>
+<ul>
+<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/2034">Support for CUDA 12.2</a>;</p>
+</li>
+<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/2040">Memory limits</a> are now enforced by CUDA, resulting in better performance;</p>
+</li>
+<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/1946">Support for Julia 1.10</a> &#40;with help from <a href="https://github.com/dkarrasch">@dkarrasch</a>&#41;;</p>
+</li>
+<li><p>Support for batched <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1975"><code>gemm</code></a>, <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1981"><code>gemv</code></a> and <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2063"><code>svd</code></a> &#40;by <a href="https://github.com/lpawela">@lpawela</a> and <a href="https://github.com/nikopj">@nikopj</a>.</p>
+</li>
+</ul>
 ]]></content:encoded>
     
   <pubDate>Tue, 19 Sep 2023 00:00:00 +0000</pubDate>  
diff --git a/previews/PR41/.nojekyll b/previews/PR41/.nojekyll
deleted file mode 100644
index e69de29..0000000
diff --git a/previews/PR41/2019-12-12-new_site/index.html b/previews/PR41/2019-12-12-new_site/index.html
deleted file mode 100644
index a4a116c..0000000
--- a/previews/PR41/2019-12-12-new_site/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2019-12-12-new_site/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2020-03-25-cudanative_3.0-cuarrays_2.0/index.html b/previews/PR41/2020-03-25-cudanative_3.0-cuarrays_2.0/index.html
deleted file mode 100644
index 475c924..0000000
--- a/previews/PR41/2020-03-25-cudanative_3.0-cuarrays_2.0/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2020-03-25-cudanative_3.0-cuarrays_2.0/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2020-07-07-cuda_1.1/index.html b/previews/PR41/2020-07-07-cuda_1.1/index.html
deleted file mode 100644
index b8c1d20..0000000
--- a/previews/PR41/2020-07-07-cuda_1.1/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2020-07-07-cuda_1.1/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2020-07-18-cuda_1.3/index.html b/previews/PR41/2020-07-18-cuda_1.3/index.html
deleted file mode 100644
index 715d546..0000000
--- a/previews/PR41/2020-07-18-cuda_1.3/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2020-07-18-cuda_1.3/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2020-09-28-gemmkernels/index.html b/previews/PR41/2020-09-28-gemmkernels/index.html
deleted file mode 100644
index f03c847..0000000
--- a/previews/PR41/2020-09-28-gemmkernels/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2020-09-28-gemmkernels/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2020-10-02-cuda_2.0/index.html b/previews/PR41/2020-10-02-cuda_2.0/index.html
deleted file mode 100644
index df6d13c..0000000
--- a/previews/PR41/2020-10-02-cuda_2.0/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2020-10-02-cuda_2.0/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2020-10-30-cuda_2.1/index.html b/previews/PR41/2020-10-30-cuda_2.1/index.html
deleted file mode 100644
index 8da8c8b..0000000
--- a/previews/PR41/2020-10-30-cuda_2.1/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2020-10-30-cuda_2.1/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2020-11-05-oneapi_0.1/index.html b/previews/PR41/2020-11-05-oneapi_0.1/index.html
deleted file mode 100644
index 1496d8e..0000000
--- a/previews/PR41/2020-11-05-oneapi_0.1/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2020-11-05-oneapi_0.1/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2021-01-08-cuda_2.4_2.5/index.html b/previews/PR41/2021-01-08-cuda_2.4_2.5/index.html
deleted file mode 100644
index ddc39b3..0000000
--- a/previews/PR41/2021-01-08-cuda_2.4_2.5/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2021-01-08-cuda_2.4_2.5/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2021-04-09-cuda_3.0/index.html b/previews/PR41/2021-04-09-cuda_3.0/index.html
deleted file mode 100644
index e7a8654..0000000
--- a/previews/PR41/2021-04-09-cuda_3.0/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2021-04-09-cuda_3.0/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2021-06-10-cuda_3.3/index.html b/previews/PR41/2021-06-10-cuda_3.3/index.html
deleted file mode 100644
index a3c375b..0000000
--- a/previews/PR41/2021-06-10-cuda_3.3/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2021-06-10-cuda_3.3/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2021-08-13-cuda_3.4/index.html b/previews/PR41/2021-08-13-cuda_3.4/index.html
deleted file mode 100644
index a634228..0000000
--- a/previews/PR41/2021-08-13-cuda_3.4/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2021-08-13-cuda_3.4/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2022-01-28-cuda_3.5_3.8/index.html b/previews/PR41/2022-01-28-cuda_3.5_3.8/index.html
deleted file mode 100644
index a369335..0000000
--- a/previews/PR41/2022-01-28-cuda_3.5_3.8/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2022-01-28-cuda_3.5_3.8/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2022-04-06-oneapi_update/index.html b/previews/PR41/2022-04-06-oneapi_update/index.html
deleted file mode 100644
index c945cfa..0000000
--- a/previews/PR41/2022-04-06-oneapi_update/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2022-04-06-oneapi_update/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2022-06-24-metal/index.html b/previews/PR41/2022-06-24-metal/index.html
deleted file mode 100644
index ec8b3ad..0000000
--- a/previews/PR41/2022-06-24-metal/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2022-06-24-metal/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2023-02-01-cuda_4.0/index.html b/previews/PR41/2023-02-01-cuda_4.0/index.html
deleted file mode 100644
index 0475ead..0000000
--- a/previews/PR41/2023-02-01-cuda_4.0/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2023-02-01-cuda_4.0/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2023-02-08-oneapi_1.0/index.html b/previews/PR41/2023-02-08-oneapi_1.0/index.html
deleted file mode 100644
index 00b2bce..0000000
--- a/previews/PR41/2023-02-08-oneapi_1.0/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2023-02-08-oneapi_1.0/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2023-03-03-metal_0.2/index.html b/previews/PR41/2023-03-03-metal_0.2/index.html
deleted file mode 100644
index 124d964..0000000
--- a/previews/PR41/2023-03-03-metal_0.2/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2023-03-03-metal_0.2/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2023-07-19-oneapi_profiling/index.html b/previews/PR41/2023-07-19-oneapi_profiling/index.html
deleted file mode 100644
index edf8e22..0000000
--- a/previews/PR41/2023-07-19-oneapi_profiling/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2023-07-19-oneapi_profiling/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2023-09-19-cuda_5.0/index.html b/previews/PR41/2023-09-19-cuda_5.0/index.html
deleted file mode 100644
index ae124bb..0000000
--- a/previews/PR41/2023-09-19-cuda_5.0/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2023-09-19-cuda_5.0/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/2023-11-07-cuda_5.1/index.html b/previews/PR41/2023-11-07-cuda_5.1/index.html
deleted file mode 100644
index 4d1ba7a..0000000
--- a/previews/PR41/2023-11-07-cuda_5.1/index.html
+++ /dev/null
@@ -1,7 +0,0 @@
-<!-- Generated Redirect -->
-<!doctype html>
-<html>
-<head>
-  <meta http-equiv="refresh" content='0; url="/post/2023-11-07-cuda_5.1/index.html"'>
-</head>
-</html>
diff --git a/previews/PR41/404.html b/previews/PR41/404.html
deleted file mode 100644
index 30dd156..0000000
--- a/previews/PR41/404.html
+++ /dev/null
@@ -1,169 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-  
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>404 ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-<!-- Content appended here -->
-
-<h1 id="404_file_not_found"><a href="#404_file_not_found" class="header-anchor">404: File not found</a></h1>
-<p>The requested file was not found.</p>
-<p>Please <a href="/previews/PR41/">click here</a> to go to the home page.</p>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/Manifest.toml b/previews/PR41/Manifest.toml
deleted file mode 100644
index b3b02f4..0000000
--- a/previews/PR41/Manifest.toml
+++ /dev/null
@@ -1,237 +0,0 @@
-# This file is machine-generated - editing it directly is not advised
-
-julia_version = "1.9.2"
-manifest_format = "2.0"
-project_hash = "471c9743ba70a989d67778bee16a3c4e8c8ad36d"
-
-[[deps.ArgTools]]
-uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
-version = "1.1.1"
-
-[[deps.Artifacts]]
-uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
-
-[[deps.Base64]]
-uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
-
-[[deps.Crayons]]
-git-tree-sha1 = "3f71217b538d7aaee0b69ab47d9b7724ca8afa0d"
-uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f"
-version = "4.0.4"
-
-[[deps.Dates]]
-deps = ["Printf"]
-uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
-
-[[deps.DelimitedFiles]]
-deps = ["Mmap"]
-git-tree-sha1 = "9e2f36d3c96a820c678f2f1f1782582fcf685bae"
-uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
-version = "1.9.1"
-
-[[deps.DocStringExtensions]]
-deps = ["LibGit2"]
-git-tree-sha1 = "a32185f5428d3986f47c2ab78b1f216d5e6cc96f"
-uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
-version = "0.8.5"
-
-[[deps.Downloads]]
-deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"]
-uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"
-version = "1.6.0"
-
-[[deps.ExprTools]]
-git-tree-sha1 = "b7e3d17636b348f005f11040025ae8c6f645fe92"
-uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
-version = "0.1.6"
-
-[[deps.FileWatching]]
-uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
-
-[[deps.Franklin]]
-deps = ["Dates", "DelimitedFiles", "DocStringExtensions", "ExprTools", "FranklinTemplates", "HTTP", "Literate", "LiveServer", "Logging", "Markdown", "NodeJS", "OrderedCollections", "Pkg", "REPL", "Random"]
-git-tree-sha1 = "ca57f7e99cb91d90fa8f969bbc7ffda3b7e09a12"
-uuid = "713c75ef-9fc9-4b05-94a9-213340da978e"
-version = "0.10.59"
-
-[[deps.FranklinTemplates]]
-deps = ["LiveServer"]
-git-tree-sha1 = "20ec221753e0c6bcac845423089b656538ac4eec"
-uuid = "3a985190-f512-4703-8d38-2a7944ed5916"
-version = "0.8.22"
-
-[[deps.HTTP]]
-deps = ["Base64", "Dates", "IniFile", "Logging", "MbedTLS", "NetworkOptions", "Sockets", "URIs"]
-git-tree-sha1 = "14eece7a3308b4d8be910e265c724a6ba51a9798"
-uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
-version = "0.9.16"
-
-[[deps.IOCapture]]
-deps = ["Logging", "Random"]
-git-tree-sha1 = "f7be53659ab06ddc986428d3a9dcc95f6fa6705a"
-uuid = "b5f81e59-6552-4d32-b1f0-c071b021bf89"
-version = "0.2.2"
-
-[[deps.IniFile]]
-deps = ["Test"]
-git-tree-sha1 = "098e4d2c533924c921f9f9847274f2ad89e018b8"
-uuid = "83e8ac13-25f8-5344-8a64-a9f2b223428f"
-version = "0.5.0"
-
-[[deps.InteractiveUtils]]
-deps = ["Markdown"]
-uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
-
-[[deps.JSON]]
-deps = ["Dates", "Mmap", "Parsers", "Unicode"]
-git-tree-sha1 = "8076680b162ada2a031f707ac7b4953e30667a37"
-uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
-version = "0.21.2"
-
-[[deps.LibCURL]]
-deps = ["LibCURL_jll", "MozillaCACerts_jll"]
-uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"
-version = "0.6.3"
-
-[[deps.LibCURL_jll]]
-deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
-uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
-version = "7.84.0+0"
-
-[[deps.LibGit2]]
-deps = ["Base64", "NetworkOptions", "Printf", "SHA"]
-uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
-
-[[deps.LibSSH2_jll]]
-deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
-uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
-version = "1.10.2+0"
-
-[[deps.Libdl]]
-uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
-
-[[deps.Literate]]
-deps = ["Base64", "IOCapture", "JSON", "REPL"]
-git-tree-sha1 = "bbebc3c14dbfbe76bfcbabf0937481ac84dc86ef"
-uuid = "98b081ad-f1c9-55d3-8b20-4c87d4299306"
-version = "2.9.3"
-
-[[deps.LiveServer]]
-deps = ["Crayons", "FileWatching", "HTTP", "Pkg", "Sockets", "Test"]
-git-tree-sha1 = "99990da121ad310875b3c4dba5954eba54df8cfd"
-uuid = "16fef848-5104-11e9-1b77-fb7a48bbb589"
-version = "0.7.0"
-
-[[deps.Logging]]
-uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
-
-[[deps.Markdown]]
-deps = ["Base64"]
-uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
-
-[[deps.MbedTLS]]
-deps = ["Dates", "MbedTLS_jll", "Random", "Sockets"]
-git-tree-sha1 = "1c38e51c3d08ef2278062ebceade0e46cefc96fe"
-uuid = "739be429-bea8-5141-9913-cc70e7f3736d"
-version = "1.0.3"
-
-[[deps.MbedTLS_jll]]
-deps = ["Artifacts", "Libdl"]
-uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
-version = "2.28.2+0"
-
-[[deps.Mmap]]
-uuid = "a63ad114-7e13-5084-954f-fe012c677804"
-
-[[deps.MozillaCACerts_jll]]
-uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
-version = "2022.10.11"
-
-[[deps.NetworkOptions]]
-uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
-version = "1.2.0"
-
-[[deps.NodeJS]]
-deps = ["Pkg"]
-git-tree-sha1 = "905224bbdd4b555c69bb964514cfa387616f0d3a"
-uuid = "2bd173c7-0d6d-553b-b6af-13a54713934c"
-version = "1.3.0"
-
-[[deps.OrderedCollections]]
-git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c"
-uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
-version = "1.4.1"
-
-[[deps.Parsers]]
-deps = ["Dates"]
-git-tree-sha1 = "a8709b968a1ea6abc2dc1967cb1db6ac9a00dfb6"
-uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
-version = "2.0.5"
-
-[[deps.Pkg]]
-deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
-uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
-version = "1.9.2"
-
-[[deps.Printf]]
-deps = ["Unicode"]
-uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
-
-[[deps.REPL]]
-deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
-uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
-
-[[deps.Random]]
-deps = ["SHA", "Serialization"]
-uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
-
-[[deps.SHA]]
-uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
-version = "0.7.0"
-
-[[deps.Serialization]]
-uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
-
-[[deps.Sockets]]
-uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
-
-[[deps.TOML]]
-deps = ["Dates"]
-uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
-version = "1.0.3"
-
-[[deps.Tar]]
-deps = ["ArgTools", "SHA"]
-uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
-version = "1.10.0"
-
-[[deps.Test]]
-deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
-uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
-
-[[deps.URIs]]
-git-tree-sha1 = "97bbe755a53fe859669cd907f2d96aee8d2c1355"
-uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4"
-version = "1.3.0"
-
-[[deps.UUIDs]]
-deps = ["Random", "SHA"]
-uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
-
-[[deps.Unicode]]
-uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
-
-[[deps.Zlib_jll]]
-deps = ["Libdl"]
-uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
-version = "1.2.13+0"
-
-[[deps.nghttp2_jll]]
-deps = ["Artifacts", "Libdl"]
-uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
-version = "1.48.0+0"
-
-[[deps.p7zip_jll]]
-deps = ["Artifacts", "Libdl"]
-uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
-version = "17.4.0+0"
\ No newline at end of file
diff --git a/previews/PR41/Project.toml b/previews/PR41/Project.toml
deleted file mode 100644
index a633fb8..0000000
--- a/previews/PR41/Project.toml
+++ /dev/null
@@ -1,5 +0,0 @@
-[deps]
-Franklin = "713c75ef-9fc9-4b05-94a9-213340da978e"
-
-[compat]
-Franklin = "0.10.35"
diff --git a/previews/PR41/assets/favicon.ico b/previews/PR41/assets/favicon.ico
deleted file mode 100644
index 9021a68..0000000
Binary files a/previews/PR41/assets/favicon.ico and /dev/null differ
diff --git a/previews/PR41/assets/img/amdgpu-performance.png b/previews/PR41/assets/img/amdgpu-performance.png
deleted file mode 100644
index bf59cc4..0000000
Binary files a/previews/PR41/assets/img/amdgpu-performance.png and /dev/null differ
diff --git a/previews/PR41/assets/img/cuda-performance.png b/previews/PR41/assets/img/cuda-performance.png
deleted file mode 100644
index d22efc8..0000000
Binary files a/previews/PR41/assets/img/cuda-performance.png and /dev/null differ
diff --git a/previews/PR41/assets/logo_crop.png b/previews/PR41/assets/logo_crop.png
deleted file mode 100644
index 6313539..0000000
Binary files a/previews/PR41/assets/logo_crop.png and /dev/null differ
diff --git a/previews/PR41/css/bootstrap.min.css b/previews/PR41/css/bootstrap.min.css
deleted file mode 100644
index 92e3fe8..0000000
--- a/previews/PR41/css/bootstrap.min.css
+++ /dev/null
@@ -1,7 +0,0 @@
-/*!
- * Bootstrap v4.3.1 (https://getbootstrap.com/)
- * Copyright 2011-2019 The Bootstrap Authors
- * Copyright 2011-2019 Twitter, Inc.
- * Licensed under MIT (https://github.com/twbs/bootstrap/blob/master/LICENSE)
- */:root{--blue:#007bff;--indigo:#6610f2;--purple:#6f42c1;--pink:#e83e8c;--red:#dc3545;--orange:#fd7e14;--yellow:#ffc107;--green:#28a745;--teal:#20c997;--cyan:#17a2b8;--white:#fff;--gray:#6c757d;--gray-dark:#343a40;--primary:#007bff;--secondary:#6c757d;--success:#28a745;--info:#17a2b8;--warning:#ffc107;--danger:#dc3545;--light:#f8f9fa;--dark:#343a40;--breakpoint-xs:0;--breakpoint-sm:576px;--breakpoint-md:768px;--breakpoint-lg:992px;--breakpoint-xl:1200px;--font-family-sans-serif:-apple-system,BlinkMacSystemFont,"Segoe UI",Roboto,"Helvetica Neue",Arial,"Noto Sans",sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol","Noto Color Emoji";--font-family-monospace:SFMono-Regular,Menlo,Monaco,Consolas,"Liberation Mono","Courier New",monospace}*,::after,::before{box-sizing:border-box}html{font-family:sans-serif;line-height:1.15;-webkit-text-size-adjust:100%;-webkit-tap-highlight-color:transparent}article,aside,figcaption,figure,footer,header,hgroup,main,nav,section{display:block}body{margin:0;font-family:-apple-system,BlinkMacSystemFont,"Segoe UI",Roboto,"Helvetica Neue",Arial,"Noto Sans",sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol","Noto Color Emoji";font-size:1rem;font-weight:400;line-height:1.5;color:#212529;text-align:left;background-color:#fff}[tabindex="-1"]:focus{outline:0!important}hr{box-sizing:content-box;height:0;overflow:visible}h1,h2,h3,h4,h5,h6{margin-top:0;margin-bottom:.5rem}p{margin-top:0;margin-bottom:1rem}abbr[data-original-title],abbr[title]{text-decoration:underline;-webkit-text-decoration:underline dotted;text-decoration:underline dotted;cursor:help;border-bottom:0;-webkit-text-decoration-skip-ink:none;text-decoration-skip-ink:none}address{margin-bottom:1rem;font-style:normal;line-height:inherit}dl,ol,ul{margin-top:0;margin-bottom:1rem}ol ol,ol ul,ul ol,ul ul{margin-bottom:0}dt{font-weight:700}dd{margin-bottom:.5rem;margin-left:0}blockquote{margin:0 0 1rem}b,strong{font-weight:bolder}small{font-size:80%}sub,sup{position:relative;font-size:75%;line-height:0;vertical-align:baseline}sub{bottom:-.25em}sup{top:-.5em}a{color:#007bff;text-decoration:none;background-color:transparent}a:hover{color:#0056b3;text-decoration:underline}a:not([href]):not([tabindex]){color:inherit;text-decoration:none}a:not([href]):not([tabindex]):focus,a:not([href]):not([tabindex]):hover{color:inherit;text-decoration:none}a:not([href]):not([tabindex]):focus{outline:0}code,kbd,pre,samp{font-family:SFMono-Regular,Menlo,Monaco,Consolas,"Liberation Mono","Courier New",monospace;font-size:1em}pre{margin-top:0;margin-bottom:1rem;overflow:auto}figure{margin:0 0 1rem}img{vertical-align:middle;border-style:none}svg{overflow:hidden;vertical-align:middle}table{border-collapse:collapse}caption{padding-top:.75rem;padding-bottom:.75rem;color:#6c757d;text-align:left;caption-side:bottom}th{text-align:inherit}label{display:inline-block;margin-bottom:.5rem}button{border-radius:0}button:focus{outline:1px dotted;outline:5px auto -webkit-focus-ring-color}button,input,optgroup,select,textarea{margin:0;font-family:inherit;font-size:inherit;line-height:inherit}button,input{overflow:visible}button,select{text-transform:none}select{word-wrap:normal}[type=button],[type=reset],[type=submit],button{-webkit-appearance:button}[type=button]:not(:disabled),[type=reset]:not(:disabled),[type=submit]:not(:disabled),button:not(:disabled){cursor:pointer}[type=button]::-moz-focus-inner,[type=reset]::-moz-focus-inner,[type=submit]::-moz-focus-inner,button::-moz-focus-inner{padding:0;border-style:none}input[type=checkbox],input[type=radio]{box-sizing:border-box;padding:0}input[type=date],input[type=datetime-local],input[type=month],input[type=time]{-webkit-appearance:listbox}textarea{overflow:auto;resize:vertical}fieldset{min-width:0;padding:0;margin:0;border:0}legend{display:block;width:100%;max-width:100%;padding:0;margin-bottom:.5rem;font-size:1.5rem;line-height:inherit;color:inherit;white-space:normal}progress{vertical-align:baseline}[type=number]::-webkit-inner-spin-button,[type=number]::-webkit-outer-spin-button{height:auto}[type=search]{outline-offset:-2px;-webkit-appearance:none}[type=search]::-webkit-search-decoration{-webkit-appearance:none}::-webkit-file-upload-button{font:inherit;-webkit-appearance:button}output{display:inline-block}summary{display:list-item;cursor:pointer}template{display:none}[hidden]{display:none!important}.h1,.h2,.h3,.h4,.h5,.h6,h1,h2,h3,h4,h5,h6{margin-bottom:.5rem;font-weight:500;line-height:1.2}.h1,h1{font-size:2.5rem}.h2,h2{font-size:2rem}.h3,h3{font-size:1.75rem}.h4,h4{font-size:1.5rem}.h5,h5{font-size:1.25rem}.h6,h6{font-size:1rem}.lead{font-size:1.25rem;font-weight:300}.display-1{font-size:6rem;font-weight:300;line-height:1.2}.display-2{font-size:5.5rem;font-weight:300;line-height:1.2}.display-3{font-size:4.5rem;font-weight:300;line-height:1.2}.display-4{font-size:3.5rem;font-weight:300;line-height:1.2}hr{margin-top:1rem;margin-bottom:1rem;border:0;border-top:1px solid rgba(0,0,0,.1)}.small,small{font-size:80%;font-weight:400}.mark,mark{padding:.2em;background-color:#fcf8e3}.list-unstyled{padding-left:0;list-style:none}.list-inline{padding-left:0;list-style:none}.list-inline-item{display:inline-block}.list-inline-item:not(:last-child){margin-right:.5rem}.initialism{font-size:90%;text-transform:uppercase}.blockquote{margin-bottom:1rem;font-size:1.25rem}.blockquote-footer{display:block;font-size:80%;color:#6c757d}.blockquote-footer::before{content:"\2014\00A0"}.img-fluid{max-width:100%;height:auto}.img-thumbnail{padding:.25rem;background-color:#fff;border:1px solid #dee2e6;border-radius:.25rem;max-width:100%;height:auto}.figure{display:inline-block}.figure-img{margin-bottom:.5rem;line-height:1}.figure-caption{font-size:90%;color:#6c757d}code{font-size:87.5%;color:#e83e8c;word-break:break-word}a>code{color:inherit}kbd{padding:.2rem .4rem;font-size:87.5%;color:#fff;background-color:#212529;border-radius:.2rem}kbd kbd{padding:0;font-size:100%;font-weight:700}pre{display:block;font-size:87.5%;color:#212529}pre code{font-size:inherit;color:inherit;word-break:normal}.pre-scrollable{max-height:340px;overflow-y:scroll}.container{width:100%;padding-right:15px;padding-left:15px;margin-right:auto;margin-left:auto}@media (min-width:576px){.container{max-width:540px}}@media (min-width:768px){.container{max-width:720px}}@media (min-width:992px){.container{max-width:960px}}@media (min-width:1200px){.container{max-width:1140px}}.container-fluid{width:100%;padding-right:15px;padding-left:15px;margin-right:auto;margin-left:auto}.row{display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap;margin-right:-15px;margin-left:-15px}.no-gutters{margin-right:0;margin-left:0}.no-gutters>.col,.no-gutters>[class*=col-]{padding-right:0;padding-left:0}.col,.col-1,.col-10,.col-11,.col-12,.col-2,.col-3,.col-4,.col-5,.col-6,.col-7,.col-8,.col-9,.col-auto,.col-lg,.col-lg-1,.col-lg-10,.col-lg-11,.col-lg-12,.col-lg-2,.col-lg-3,.col-lg-4,.col-lg-5,.col-lg-6,.col-lg-7,.col-lg-8,.col-lg-9,.col-lg-auto,.col-md,.col-md-1,.col-md-10,.col-md-11,.col-md-12,.col-md-2,.col-md-3,.col-md-4,.col-md-5,.col-md-6,.col-md-7,.col-md-8,.col-md-9,.col-md-auto,.col-sm,.col-sm-1,.col-sm-10,.col-sm-11,.col-sm-12,.col-sm-2,.col-sm-3,.col-sm-4,.col-sm-5,.col-sm-6,.col-sm-7,.col-sm-8,.col-sm-9,.col-sm-auto,.col-xl,.col-xl-1,.col-xl-10,.col-xl-11,.col-xl-12,.col-xl-2,.col-xl-3,.col-xl-4,.col-xl-5,.col-xl-6,.col-xl-7,.col-xl-8,.col-xl-9,.col-xl-auto{position:relative;width:100%;padding-right:15px;padding-left:15px}.col{-ms-flex-preferred-size:0;flex-basis:0;-ms-flex-positive:1;flex-grow:1;max-width:100%}.col-auto{-ms-flex:0 0 auto;flex:0 0 auto;width:auto;max-width:100%}.col-1{-ms-flex:0 0 8.333333%;flex:0 0 8.333333%;max-width:8.333333%}.col-2{-ms-flex:0 0 16.666667%;flex:0 0 16.666667%;max-width:16.666667%}.col-3{-ms-flex:0 0 25%;flex:0 0 25%;max-width:25%}.col-4{-ms-flex:0 0 33.333333%;flex:0 0 33.333333%;max-width:33.333333%}.col-5{-ms-flex:0 0 41.666667%;flex:0 0 41.666667%;max-width:41.666667%}.col-6{-ms-flex:0 0 50%;flex:0 0 50%;max-width:50%}.col-7{-ms-flex:0 0 58.333333%;flex:0 0 58.333333%;max-width:58.333333%}.col-8{-ms-flex:0 0 66.666667%;flex:0 0 66.666667%;max-width:66.666667%}.col-9{-ms-flex:0 0 75%;flex:0 0 75%;max-width:75%}.col-10{-ms-flex:0 0 83.333333%;flex:0 0 83.333333%;max-width:83.333333%}.col-11{-ms-flex:0 0 91.666667%;flex:0 0 91.666667%;max-width:91.666667%}.col-12{-ms-flex:0 0 100%;flex:0 0 100%;max-width:100%}.order-first{-ms-flex-order:-1;order:-1}.order-last{-ms-flex-order:13;order:13}.order-0{-ms-flex-order:0;order:0}.order-1{-ms-flex-order:1;order:1}.order-2{-ms-flex-order:2;order:2}.order-3{-ms-flex-order:3;order:3}.order-4{-ms-flex-order:4;order:4}.order-5{-ms-flex-order:5;order:5}.order-6{-ms-flex-order:6;order:6}.order-7{-ms-flex-order:7;order:7}.order-8{-ms-flex-order:8;order:8}.order-9{-ms-flex-order:9;order:9}.order-10{-ms-flex-order:10;order:10}.order-11{-ms-flex-order:11;order:11}.order-12{-ms-flex-order:12;order:12}.offset-1{margin-left:8.333333%}.offset-2{margin-left:16.666667%}.offset-3{margin-left:25%}.offset-4{margin-left:33.333333%}.offset-5{margin-left:41.666667%}.offset-6{margin-left:50%}.offset-7{margin-left:58.333333%}.offset-8{margin-left:66.666667%}.offset-9{margin-left:75%}.offset-10{margin-left:83.333333%}.offset-11{margin-left:91.666667%}@media (min-width:576px){.col-sm{-ms-flex-preferred-size:0;flex-basis:0;-ms-flex-positive:1;flex-grow:1;max-width:100%}.col-sm-auto{-ms-flex:0 0 auto;flex:0 0 auto;width:auto;max-width:100%}.col-sm-1{-ms-flex:0 0 8.333333%;flex:0 0 8.333333%;max-width:8.333333%}.col-sm-2{-ms-flex:0 0 16.666667%;flex:0 0 16.666667%;max-width:16.666667%}.col-sm-3{-ms-flex:0 0 25%;flex:0 0 25%;max-width:25%}.col-sm-4{-ms-flex:0 0 33.333333%;flex:0 0 33.333333%;max-width:33.333333%}.col-sm-5{-ms-flex:0 0 41.666667%;flex:0 0 41.666667%;max-width:41.666667%}.col-sm-6{-ms-flex:0 0 50%;flex:0 0 50%;max-width:50%}.col-sm-7{-ms-flex:0 0 58.333333%;flex:0 0 58.333333%;max-width:58.333333%}.col-sm-8{-ms-flex:0 0 66.666667%;flex:0 0 66.666667%;max-width:66.666667%}.col-sm-9{-ms-flex:0 0 75%;flex:0 0 75%;max-width:75%}.col-sm-10{-ms-flex:0 0 83.333333%;flex:0 0 83.333333%;max-width:83.333333%}.col-sm-11{-ms-flex:0 0 91.666667%;flex:0 0 91.666667%;max-width:91.666667%}.col-sm-12{-ms-flex:0 0 100%;flex:0 0 100%;max-width:100%}.order-sm-first{-ms-flex-order:-1;order:-1}.order-sm-last{-ms-flex-order:13;order:13}.order-sm-0{-ms-flex-order:0;order:0}.order-sm-1{-ms-flex-order:1;order:1}.order-sm-2{-ms-flex-order:2;order:2}.order-sm-3{-ms-flex-order:3;order:3}.order-sm-4{-ms-flex-order:4;order:4}.order-sm-5{-ms-flex-order:5;order:5}.order-sm-6{-ms-flex-order:6;order:6}.order-sm-7{-ms-flex-order:7;order:7}.order-sm-8{-ms-flex-order:8;order:8}.order-sm-9{-ms-flex-order:9;order:9}.order-sm-10{-ms-flex-order:10;order:10}.order-sm-11{-ms-flex-order:11;order:11}.order-sm-12{-ms-flex-order:12;order:12}.offset-sm-0{margin-left:0}.offset-sm-1{margin-left:8.333333%}.offset-sm-2{margin-left:16.666667%}.offset-sm-3{margin-left:25%}.offset-sm-4{margin-left:33.333333%}.offset-sm-5{margin-left:41.666667%}.offset-sm-6{margin-left:50%}.offset-sm-7{margin-left:58.333333%}.offset-sm-8{margin-left:66.666667%}.offset-sm-9{margin-left:75%}.offset-sm-10{margin-left:83.333333%}.offset-sm-11{margin-left:91.666667%}}@media (min-width:768px){.col-md{-ms-flex-preferred-size:0;flex-basis:0;-ms-flex-positive:1;flex-grow:1;max-width:100%}.col-md-auto{-ms-flex:0 0 auto;flex:0 0 auto;width:auto;max-width:100%}.col-md-1{-ms-flex:0 0 8.333333%;flex:0 0 8.333333%;max-width:8.333333%}.col-md-2{-ms-flex:0 0 16.666667%;flex:0 0 16.666667%;max-width:16.666667%}.col-md-3{-ms-flex:0 0 25%;flex:0 0 25%;max-width:25%}.col-md-4{-ms-flex:0 0 33.333333%;flex:0 0 33.333333%;max-width:33.333333%}.col-md-5{-ms-flex:0 0 41.666667%;flex:0 0 41.666667%;max-width:41.666667%}.col-md-6{-ms-flex:0 0 50%;flex:0 0 50%;max-width:50%}.col-md-7{-ms-flex:0 0 58.333333%;flex:0 0 58.333333%;max-width:58.333333%}.col-md-8{-ms-flex:0 0 66.666667%;flex:0 0 66.666667%;max-width:66.666667%}.col-md-9{-ms-flex:0 0 75%;flex:0 0 75%;max-width:75%}.col-md-10{-ms-flex:0 0 83.333333%;flex:0 0 83.333333%;max-width:83.333333%}.col-md-11{-ms-flex:0 0 91.666667%;flex:0 0 91.666667%;max-width:91.666667%}.col-md-12{-ms-flex:0 0 100%;flex:0 0 100%;max-width:100%}.order-md-first{-ms-flex-order:-1;order:-1}.order-md-last{-ms-flex-order:13;order:13}.order-md-0{-ms-flex-order:0;order:0}.order-md-1{-ms-flex-order:1;order:1}.order-md-2{-ms-flex-order:2;order:2}.order-md-3{-ms-flex-order:3;order:3}.order-md-4{-ms-flex-order:4;order:4}.order-md-5{-ms-flex-order:5;order:5}.order-md-6{-ms-flex-order:6;order:6}.order-md-7{-ms-flex-order:7;order:7}.order-md-8{-ms-flex-order:8;order:8}.order-md-9{-ms-flex-order:9;order:9}.order-md-10{-ms-flex-order:10;order:10}.order-md-11{-ms-flex-order:11;order:11}.order-md-12{-ms-flex-order:12;order:12}.offset-md-0{margin-left:0}.offset-md-1{margin-left:8.333333%}.offset-md-2{margin-left:16.666667%}.offset-md-3{margin-left:25%}.offset-md-4{margin-left:33.333333%}.offset-md-5{margin-left:41.666667%}.offset-md-6{margin-left:50%}.offset-md-7{margin-left:58.333333%}.offset-md-8{margin-left:66.666667%}.offset-md-9{margin-left:75%}.offset-md-10{margin-left:83.333333%}.offset-md-11{margin-left:91.666667%}}@media (min-width:992px){.col-lg{-ms-flex-preferred-size:0;flex-basis:0;-ms-flex-positive:1;flex-grow:1;max-width:100%}.col-lg-auto{-ms-flex:0 0 auto;flex:0 0 auto;width:auto;max-width:100%}.col-lg-1{-ms-flex:0 0 8.333333%;flex:0 0 8.333333%;max-width:8.333333%}.col-lg-2{-ms-flex:0 0 16.666667%;flex:0 0 16.666667%;max-width:16.666667%}.col-lg-3{-ms-flex:0 0 25%;flex:0 0 25%;max-width:25%}.col-lg-4{-ms-flex:0 0 33.333333%;flex:0 0 33.333333%;max-width:33.333333%}.col-lg-5{-ms-flex:0 0 41.666667%;flex:0 0 41.666667%;max-width:41.666667%}.col-lg-6{-ms-flex:0 0 50%;flex:0 0 50%;max-width:50%}.col-lg-7{-ms-flex:0 0 58.333333%;flex:0 0 58.333333%;max-width:58.333333%}.col-lg-8{-ms-flex:0 0 66.666667%;flex:0 0 66.666667%;max-width:66.666667%}.col-lg-9{-ms-flex:0 0 75%;flex:0 0 75%;max-width:75%}.col-lg-10{-ms-flex:0 0 83.333333%;flex:0 0 83.333333%;max-width:83.333333%}.col-lg-11{-ms-flex:0 0 91.666667%;flex:0 0 91.666667%;max-width:91.666667%}.col-lg-12{-ms-flex:0 0 100%;flex:0 0 100%;max-width:100%}.order-lg-first{-ms-flex-order:-1;order:-1}.order-lg-last{-ms-flex-order:13;order:13}.order-lg-0{-ms-flex-order:0;order:0}.order-lg-1{-ms-flex-order:1;order:1}.order-lg-2{-ms-flex-order:2;order:2}.order-lg-3{-ms-flex-order:3;order:3}.order-lg-4{-ms-flex-order:4;order:4}.order-lg-5{-ms-flex-order:5;order:5}.order-lg-6{-ms-flex-order:6;order:6}.order-lg-7{-ms-flex-order:7;order:7}.order-lg-8{-ms-flex-order:8;order:8}.order-lg-9{-ms-flex-order:9;order:9}.order-lg-10{-ms-flex-order:10;order:10}.order-lg-11{-ms-flex-order:11;order:11}.order-lg-12{-ms-flex-order:12;order:12}.offset-lg-0{margin-left:0}.offset-lg-1{margin-left:8.333333%}.offset-lg-2{margin-left:16.666667%}.offset-lg-3{margin-left:25%}.offset-lg-4{margin-left:33.333333%}.offset-lg-5{margin-left:41.666667%}.offset-lg-6{margin-left:50%}.offset-lg-7{margin-left:58.333333%}.offset-lg-8{margin-left:66.666667%}.offset-lg-9{margin-left:75%}.offset-lg-10{margin-left:83.333333%}.offset-lg-11{margin-left:91.666667%}}@media (min-width:1200px){.col-xl{-ms-flex-preferred-size:0;flex-basis:0;-ms-flex-positive:1;flex-grow:1;max-width:100%}.col-xl-auto{-ms-flex:0 0 auto;flex:0 0 auto;width:auto;max-width:100%}.col-xl-1{-ms-flex:0 0 8.333333%;flex:0 0 8.333333%;max-width:8.333333%}.col-xl-2{-ms-flex:0 0 16.666667%;flex:0 0 16.666667%;max-width:16.666667%}.col-xl-3{-ms-flex:0 0 25%;flex:0 0 25%;max-width:25%}.col-xl-4{-ms-flex:0 0 33.333333%;flex:0 0 33.333333%;max-width:33.333333%}.col-xl-5{-ms-flex:0 0 41.666667%;flex:0 0 41.666667%;max-width:41.666667%}.col-xl-6{-ms-flex:0 0 50%;flex:0 0 50%;max-width:50%}.col-xl-7{-ms-flex:0 0 58.333333%;flex:0 0 58.333333%;max-width:58.333333%}.col-xl-8{-ms-flex:0 0 66.666667%;flex:0 0 66.666667%;max-width:66.666667%}.col-xl-9{-ms-flex:0 0 75%;flex:0 0 75%;max-width:75%}.col-xl-10{-ms-flex:0 0 83.333333%;flex:0 0 83.333333%;max-width:83.333333%}.col-xl-11{-ms-flex:0 0 91.666667%;flex:0 0 91.666667%;max-width:91.666667%}.col-xl-12{-ms-flex:0 0 100%;flex:0 0 100%;max-width:100%}.order-xl-first{-ms-flex-order:-1;order:-1}.order-xl-last{-ms-flex-order:13;order:13}.order-xl-0{-ms-flex-order:0;order:0}.order-xl-1{-ms-flex-order:1;order:1}.order-xl-2{-ms-flex-order:2;order:2}.order-xl-3{-ms-flex-order:3;order:3}.order-xl-4{-ms-flex-order:4;order:4}.order-xl-5{-ms-flex-order:5;order:5}.order-xl-6{-ms-flex-order:6;order:6}.order-xl-7{-ms-flex-order:7;order:7}.order-xl-8{-ms-flex-order:8;order:8}.order-xl-9{-ms-flex-order:9;order:9}.order-xl-10{-ms-flex-order:10;order:10}.order-xl-11{-ms-flex-order:11;order:11}.order-xl-12{-ms-flex-order:12;order:12}.offset-xl-0{margin-left:0}.offset-xl-1{margin-left:8.333333%}.offset-xl-2{margin-left:16.666667%}.offset-xl-3{margin-left:25%}.offset-xl-4{margin-left:33.333333%}.offset-xl-5{margin-left:41.666667%}.offset-xl-6{margin-left:50%}.offset-xl-7{margin-left:58.333333%}.offset-xl-8{margin-left:66.666667%}.offset-xl-9{margin-left:75%}.offset-xl-10{margin-left:83.333333%}.offset-xl-11{margin-left:91.666667%}}.table{width:100%;margin-bottom:1rem;color:#212529}.table td,.table th{padding:.75rem;vertical-align:top;border-top:1px solid #dee2e6}.table thead th{vertical-align:bottom;border-bottom:2px solid #dee2e6}.table tbody+tbody{border-top:2px solid #dee2e6}.table-sm td,.table-sm th{padding:.3rem}.table-bordered{border:1px solid #dee2e6}.table-bordered td,.table-bordered th{border:1px solid #dee2e6}.table-bordered thead td,.table-bordered thead th{border-bottom-width:2px}.table-borderless tbody+tbody,.table-borderless td,.table-borderless th,.table-borderless thead th{border:0}.table-striped tbody tr:nth-of-type(odd){background-color:rgba(0,0,0,.05)}.table-hover tbody tr:hover{color:#212529;background-color:rgba(0,0,0,.075)}.table-primary,.table-primary>td,.table-primary>th{background-color:#b8daff}.table-primary tbody+tbody,.table-primary td,.table-primary th,.table-primary thead th{border-color:#7abaff}.table-hover .table-primary:hover{background-color:#9fcdff}.table-hover .table-primary:hover>td,.table-hover .table-primary:hover>th{background-color:#9fcdff}.table-secondary,.table-secondary>td,.table-secondary>th{background-color:#d6d8db}.table-secondary tbody+tbody,.table-secondary td,.table-secondary th,.table-secondary thead th{border-color:#b3b7bb}.table-hover .table-secondary:hover{background-color:#c8cbcf}.table-hover .table-secondary:hover>td,.table-hover .table-secondary:hover>th{background-color:#c8cbcf}.table-success,.table-success>td,.table-success>th{background-color:#c3e6cb}.table-success tbody+tbody,.table-success td,.table-success th,.table-success thead th{border-color:#8fd19e}.table-hover .table-success:hover{background-color:#b1dfbb}.table-hover .table-success:hover>td,.table-hover .table-success:hover>th{background-color:#b1dfbb}.table-info,.table-info>td,.table-info>th{background-color:#bee5eb}.table-info tbody+tbody,.table-info td,.table-info th,.table-info thead th{border-color:#86cfda}.table-hover .table-info:hover{background-color:#abdde5}.table-hover .table-info:hover>td,.table-hover .table-info:hover>th{background-color:#abdde5}.table-warning,.table-warning>td,.table-warning>th{background-color:#ffeeba}.table-warning tbody+tbody,.table-warning td,.table-warning th,.table-warning thead th{border-color:#ffdf7e}.table-hover .table-warning:hover{background-color:#ffe8a1}.table-hover .table-warning:hover>td,.table-hover .table-warning:hover>th{background-color:#ffe8a1}.table-danger,.table-danger>td,.table-danger>th{background-color:#f5c6cb}.table-danger tbody+tbody,.table-danger td,.table-danger th,.table-danger thead th{border-color:#ed969e}.table-hover .table-danger:hover{background-color:#f1b0b7}.table-hover .table-danger:hover>td,.table-hover .table-danger:hover>th{background-color:#f1b0b7}.table-light,.table-light>td,.table-light>th{background-color:#fdfdfe}.table-light tbody+tbody,.table-light td,.table-light th,.table-light thead th{border-color:#fbfcfc}.table-hover .table-light:hover{background-color:#ececf6}.table-hover .table-light:hover>td,.table-hover .table-light:hover>th{background-color:#ececf6}.table-dark,.table-dark>td,.table-dark>th{background-color:#c6c8ca}.table-dark tbody+tbody,.table-dark td,.table-dark th,.table-dark thead th{border-color:#95999c}.table-hover .table-dark:hover{background-color:#b9bbbe}.table-hover .table-dark:hover>td,.table-hover .table-dark:hover>th{background-color:#b9bbbe}.table-active,.table-active>td,.table-active>th{background-color:rgba(0,0,0,.075)}.table-hover .table-active:hover{background-color:rgba(0,0,0,.075)}.table-hover .table-active:hover>td,.table-hover .table-active:hover>th{background-color:rgba(0,0,0,.075)}.table .thead-dark th{color:#fff;background-color:#343a40;border-color:#454d55}.table .thead-light th{color:#495057;background-color:#e9ecef;border-color:#dee2e6}.table-dark{color:#fff;background-color:#343a40}.table-dark td,.table-dark th,.table-dark thead th{border-color:#454d55}.table-dark.table-bordered{border:0}.table-dark.table-striped tbody tr:nth-of-type(odd){background-color:rgba(255,255,255,.05)}.table-dark.table-hover tbody tr:hover{color:#fff;background-color:rgba(255,255,255,.075)}@media (max-width:575.98px){.table-responsive-sm{display:block;width:100%;overflow-x:auto;-webkit-overflow-scrolling:touch}.table-responsive-sm>.table-bordered{border:0}}@media (max-width:767.98px){.table-responsive-md{display:block;width:100%;overflow-x:auto;-webkit-overflow-scrolling:touch}.table-responsive-md>.table-bordered{border:0}}@media (max-width:991.98px){.table-responsive-lg{display:block;width:100%;overflow-x:auto;-webkit-overflow-scrolling:touch}.table-responsive-lg>.table-bordered{border:0}}@media (max-width:1199.98px){.table-responsive-xl{display:block;width:100%;overflow-x:auto;-webkit-overflow-scrolling:touch}.table-responsive-xl>.table-bordered{border:0}}.table-responsive{display:block;width:100%;overflow-x:auto;-webkit-overflow-scrolling:touch}.table-responsive>.table-bordered{border:0}.form-control{display:block;width:100%;height:calc(1.5em + .75rem + 2px);padding:.375rem .75rem;font-size:1rem;font-weight:400;line-height:1.5;color:#495057;background-color:#fff;background-clip:padding-box;border:1px solid #ced4da;border-radius:.25rem;transition:border-color .15s ease-in-out,box-shadow .15s ease-in-out}@media (prefers-reduced-motion:reduce){.form-control{transition:none}}.form-control::-ms-expand{background-color:transparent;border:0}.form-control:focus{color:#495057;background-color:#fff;border-color:#80bdff;outline:0;box-shadow:0 0 0 .2rem rgba(0,123,255,.25)}.form-control::-webkit-input-placeholder{color:#6c757d;opacity:1}.form-control::-moz-placeholder{color:#6c757d;opacity:1}.form-control:-ms-input-placeholder{color:#6c757d;opacity:1}.form-control::-ms-input-placeholder{color:#6c757d;opacity:1}.form-control::placeholder{color:#6c757d;opacity:1}.form-control:disabled,.form-control[readonly]{background-color:#e9ecef;opacity:1}select.form-control:focus::-ms-value{color:#495057;background-color:#fff}.form-control-file,.form-control-range{display:block;width:100%}.col-form-label{padding-top:calc(.375rem + 1px);padding-bottom:calc(.375rem + 1px);margin-bottom:0;font-size:inherit;line-height:1.5}.col-form-label-lg{padding-top:calc(.5rem + 1px);padding-bottom:calc(.5rem + 1px);font-size:1.25rem;line-height:1.5}.col-form-label-sm{padding-top:calc(.25rem + 1px);padding-bottom:calc(.25rem + 1px);font-size:.875rem;line-height:1.5}.form-control-plaintext{display:block;width:100%;padding-top:.375rem;padding-bottom:.375rem;margin-bottom:0;line-height:1.5;color:#212529;background-color:transparent;border:solid transparent;border-width:1px 0}.form-control-plaintext.form-control-lg,.form-control-plaintext.form-control-sm{padding-right:0;padding-left:0}.form-control-sm{height:calc(1.5em + .5rem + 2px);padding:.25rem .5rem;font-size:.875rem;line-height:1.5;border-radius:.2rem}.form-control-lg{height:calc(1.5em + 1rem + 2px);padding:.5rem 1rem;font-size:1.25rem;line-height:1.5;border-radius:.3rem}select.form-control[multiple],select.form-control[size]{height:auto}textarea.form-control{height:auto}.form-group{margin-bottom:1rem}.form-text{display:block;margin-top:.25rem}.form-row{display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap;margin-right:-5px;margin-left:-5px}.form-row>.col,.form-row>[class*=col-]{padding-right:5px;padding-left:5px}.form-check{position:relative;display:block;padding-left:1.25rem}.form-check-input{position:absolute;margin-top:.3rem;margin-left:-1.25rem}.form-check-input:disabled~.form-check-label{color:#6c757d}.form-check-label{margin-bottom:0}.form-check-inline{display:-ms-inline-flexbox;display:inline-flex;-ms-flex-align:center;align-items:center;padding-left:0;margin-right:.75rem}.form-check-inline .form-check-input{position:static;margin-top:0;margin-right:.3125rem;margin-left:0}.valid-feedback{display:none;width:100%;margin-top:.25rem;font-size:80%;color:#28a745}.valid-tooltip{position:absolute;top:100%;z-index:5;display:none;max-width:100%;padding:.25rem .5rem;margin-top:.1rem;font-size:.875rem;line-height:1.5;color:#fff;background-color:rgba(40,167,69,.9);border-radius:.25rem}.form-control.is-valid,.was-validated .form-control:valid{border-color:#28a745;padding-right:calc(1.5em + .75rem);background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 8 8'%3e%3cpath fill='%2328a745' d='M2.3 6.73L.6 4.53c-.4-1.04.46-1.4 1.1-.8l1.1 1.4 3.4-3.8c.6-.63 1.6-.27 1.2.7l-4 4.6c-.43.5-.8.4-1.1.1z'/%3e%3c/svg%3e");background-repeat:no-repeat;background-position:center right calc(.375em + .1875rem);background-size:calc(.75em + .375rem) calc(.75em + .375rem)}.form-control.is-valid:focus,.was-validated .form-control:valid:focus{border-color:#28a745;box-shadow:0 0 0 .2rem rgba(40,167,69,.25)}.form-control.is-valid~.valid-feedback,.form-control.is-valid~.valid-tooltip,.was-validated .form-control:valid~.valid-feedback,.was-validated .form-control:valid~.valid-tooltip{display:block}.was-validated textarea.form-control:valid,textarea.form-control.is-valid{padding-right:calc(1.5em + .75rem);background-position:top calc(.375em + .1875rem) right calc(.375em + .1875rem)}.custom-select.is-valid,.was-validated .custom-select:valid{border-color:#28a745;padding-right:calc((1em + .75rem) * 3 / 4 + 1.75rem);background:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 4 5'%3e%3cpath fill='%23343a40' d='M2 0L0 2h4zm0 5L0 3h4z'/%3e%3c/svg%3e") no-repeat right .75rem center/8px 10px,url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 8 8'%3e%3cpath fill='%2328a745' d='M2.3 6.73L.6 4.53c-.4-1.04.46-1.4 1.1-.8l1.1 1.4 3.4-3.8c.6-.63 1.6-.27 1.2.7l-4 4.6c-.43.5-.8.4-1.1.1z'/%3e%3c/svg%3e") #fff no-repeat center right 1.75rem/calc(.75em + .375rem) calc(.75em + .375rem)}.custom-select.is-valid:focus,.was-validated .custom-select:valid:focus{border-color:#28a745;box-shadow:0 0 0 .2rem rgba(40,167,69,.25)}.custom-select.is-valid~.valid-feedback,.custom-select.is-valid~.valid-tooltip,.was-validated .custom-select:valid~.valid-feedback,.was-validated .custom-select:valid~.valid-tooltip{display:block}.form-control-file.is-valid~.valid-feedback,.form-control-file.is-valid~.valid-tooltip,.was-validated .form-control-file:valid~.valid-feedback,.was-validated .form-control-file:valid~.valid-tooltip{display:block}.form-check-input.is-valid~.form-check-label,.was-validated .form-check-input:valid~.form-check-label{color:#28a745}.form-check-input.is-valid~.valid-feedback,.form-check-input.is-valid~.valid-tooltip,.was-validated .form-check-input:valid~.valid-feedback,.was-validated .form-check-input:valid~.valid-tooltip{display:block}.custom-control-input.is-valid~.custom-control-label,.was-validated .custom-control-input:valid~.custom-control-label{color:#28a745}.custom-control-input.is-valid~.custom-control-label::before,.was-validated .custom-control-input:valid~.custom-control-label::before{border-color:#28a745}.custom-control-input.is-valid~.valid-feedback,.custom-control-input.is-valid~.valid-tooltip,.was-validated .custom-control-input:valid~.valid-feedback,.was-validated .custom-control-input:valid~.valid-tooltip{display:block}.custom-control-input.is-valid:checked~.custom-control-label::before,.was-validated .custom-control-input:valid:checked~.custom-control-label::before{border-color:#34ce57;background-color:#34ce57}.custom-control-input.is-valid:focus~.custom-control-label::before,.was-validated .custom-control-input:valid:focus~.custom-control-label::before{box-shadow:0 0 0 .2rem rgba(40,167,69,.25)}.custom-control-input.is-valid:focus:not(:checked)~.custom-control-label::before,.was-validated .custom-control-input:valid:focus:not(:checked)~.custom-control-label::before{border-color:#28a745}.custom-file-input.is-valid~.custom-file-label,.was-validated .custom-file-input:valid~.custom-file-label{border-color:#28a745}.custom-file-input.is-valid~.valid-feedback,.custom-file-input.is-valid~.valid-tooltip,.was-validated .custom-file-input:valid~.valid-feedback,.was-validated .custom-file-input:valid~.valid-tooltip{display:block}.custom-file-input.is-valid:focus~.custom-file-label,.was-validated .custom-file-input:valid:focus~.custom-file-label{border-color:#28a745;box-shadow:0 0 0 .2rem rgba(40,167,69,.25)}.invalid-feedback{display:none;width:100%;margin-top:.25rem;font-size:80%;color:#dc3545}.invalid-tooltip{position:absolute;top:100%;z-index:5;display:none;max-width:100%;padding:.25rem .5rem;margin-top:.1rem;font-size:.875rem;line-height:1.5;color:#fff;background-color:rgba(220,53,69,.9);border-radius:.25rem}.form-control.is-invalid,.was-validated .form-control:invalid{border-color:#dc3545;padding-right:calc(1.5em + .75rem);background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' fill='%23dc3545' viewBox='-2 -2 7 7'%3e%3cpath stroke='%23dc3545' d='M0 0l3 3m0-3L0 3'/%3e%3ccircle r='.5'/%3e%3ccircle cx='3' r='.5'/%3e%3ccircle cy='3' r='.5'/%3e%3ccircle cx='3' cy='3' r='.5'/%3e%3c/svg%3E");background-repeat:no-repeat;background-position:center right calc(.375em + .1875rem);background-size:calc(.75em + .375rem) calc(.75em + .375rem)}.form-control.is-invalid:focus,.was-validated .form-control:invalid:focus{border-color:#dc3545;box-shadow:0 0 0 .2rem rgba(220,53,69,.25)}.form-control.is-invalid~.invalid-feedback,.form-control.is-invalid~.invalid-tooltip,.was-validated .form-control:invalid~.invalid-feedback,.was-validated .form-control:invalid~.invalid-tooltip{display:block}.was-validated textarea.form-control:invalid,textarea.form-control.is-invalid{padding-right:calc(1.5em + .75rem);background-position:top calc(.375em + .1875rem) right calc(.375em + .1875rem)}.custom-select.is-invalid,.was-validated .custom-select:invalid{border-color:#dc3545;padding-right:calc((1em + .75rem) * 3 / 4 + 1.75rem);background:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 4 5'%3e%3cpath fill='%23343a40' d='M2 0L0 2h4zm0 5L0 3h4z'/%3e%3c/svg%3e") no-repeat right .75rem center/8px 10px,url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' fill='%23dc3545' viewBox='-2 -2 7 7'%3e%3cpath stroke='%23dc3545' d='M0 0l3 3m0-3L0 3'/%3e%3ccircle r='.5'/%3e%3ccircle cx='3' r='.5'/%3e%3ccircle cy='3' r='.5'/%3e%3ccircle cx='3' cy='3' r='.5'/%3e%3c/svg%3E") #fff no-repeat center right 1.75rem/calc(.75em + .375rem) calc(.75em + .375rem)}.custom-select.is-invalid:focus,.was-validated .custom-select:invalid:focus{border-color:#dc3545;box-shadow:0 0 0 .2rem rgba(220,53,69,.25)}.custom-select.is-invalid~.invalid-feedback,.custom-select.is-invalid~.invalid-tooltip,.was-validated .custom-select:invalid~.invalid-feedback,.was-validated .custom-select:invalid~.invalid-tooltip{display:block}.form-control-file.is-invalid~.invalid-feedback,.form-control-file.is-invalid~.invalid-tooltip,.was-validated .form-control-file:invalid~.invalid-feedback,.was-validated .form-control-file:invalid~.invalid-tooltip{display:block}.form-check-input.is-invalid~.form-check-label,.was-validated .form-check-input:invalid~.form-check-label{color:#dc3545}.form-check-input.is-invalid~.invalid-feedback,.form-check-input.is-invalid~.invalid-tooltip,.was-validated .form-check-input:invalid~.invalid-feedback,.was-validated .form-check-input:invalid~.invalid-tooltip{display:block}.custom-control-input.is-invalid~.custom-control-label,.was-validated .custom-control-input:invalid~.custom-control-label{color:#dc3545}.custom-control-input.is-invalid~.custom-control-label::before,.was-validated .custom-control-input:invalid~.custom-control-label::before{border-color:#dc3545}.custom-control-input.is-invalid~.invalid-feedback,.custom-control-input.is-invalid~.invalid-tooltip,.was-validated .custom-control-input:invalid~.invalid-feedback,.was-validated .custom-control-input:invalid~.invalid-tooltip{display:block}.custom-control-input.is-invalid:checked~.custom-control-label::before,.was-validated .custom-control-input:invalid:checked~.custom-control-label::before{border-color:#e4606d;background-color:#e4606d}.custom-control-input.is-invalid:focus~.custom-control-label::before,.was-validated .custom-control-input:invalid:focus~.custom-control-label::before{box-shadow:0 0 0 .2rem rgba(220,53,69,.25)}.custom-control-input.is-invalid:focus:not(:checked)~.custom-control-label::before,.was-validated .custom-control-input:invalid:focus:not(:checked)~.custom-control-label::before{border-color:#dc3545}.custom-file-input.is-invalid~.custom-file-label,.was-validated .custom-file-input:invalid~.custom-file-label{border-color:#dc3545}.custom-file-input.is-invalid~.invalid-feedback,.custom-file-input.is-invalid~.invalid-tooltip,.was-validated .custom-file-input:invalid~.invalid-feedback,.was-validated .custom-file-input:invalid~.invalid-tooltip{display:block}.custom-file-input.is-invalid:focus~.custom-file-label,.was-validated .custom-file-input:invalid:focus~.custom-file-label{border-color:#dc3545;box-shadow:0 0 0 .2rem rgba(220,53,69,.25)}.form-inline{display:-ms-flexbox;display:flex;-ms-flex-flow:row wrap;flex-flow:row wrap;-ms-flex-align:center;align-items:center}.form-inline .form-check{width:100%}@media (min-width:576px){.form-inline label{display:-ms-flexbox;display:flex;-ms-flex-align:center;align-items:center;-ms-flex-pack:center;justify-content:center;margin-bottom:0}.form-inline .form-group{display:-ms-flexbox;display:flex;-ms-flex:0 0 auto;flex:0 0 auto;-ms-flex-flow:row wrap;flex-flow:row wrap;-ms-flex-align:center;align-items:center;margin-bottom:0}.form-inline .form-control{display:inline-block;width:auto;vertical-align:middle}.form-inline .form-control-plaintext{display:inline-block}.form-inline .custom-select,.form-inline .input-group{width:auto}.form-inline .form-check{display:-ms-flexbox;display:flex;-ms-flex-align:center;align-items:center;-ms-flex-pack:center;justify-content:center;width:auto;padding-left:0}.form-inline .form-check-input{position:relative;-ms-flex-negative:0;flex-shrink:0;margin-top:0;margin-right:.25rem;margin-left:0}.form-inline .custom-control{-ms-flex-align:center;align-items:center;-ms-flex-pack:center;justify-content:center}.form-inline .custom-control-label{margin-bottom:0}}.btn{display:inline-block;font-weight:400;color:#212529;text-align:center;vertical-align:middle;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;background-color:transparent;border:1px solid transparent;padding:.375rem .75rem;font-size:1rem;line-height:1.5;border-radius:.25rem;transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out}@media (prefers-reduced-motion:reduce){.btn{transition:none}}.btn:hover{color:#212529;text-decoration:none}.btn.focus,.btn:focus{outline:0;box-shadow:0 0 0 .2rem rgba(0,123,255,.25)}.btn.disabled,.btn:disabled{opacity:.65}a.btn.disabled,fieldset:disabled a.btn{pointer-events:none}.btn-primary{color:#fff;background-color:#007bff;border-color:#007bff}.btn-primary:hover{color:#fff;background-color:#0069d9;border-color:#0062cc}.btn-primary.focus,.btn-primary:focus{box-shadow:0 0 0 .2rem rgba(38,143,255,.5)}.btn-primary.disabled,.btn-primary:disabled{color:#fff;background-color:#007bff;border-color:#007bff}.btn-primary:not(:disabled):not(.disabled).active,.btn-primary:not(:disabled):not(.disabled):active,.show>.btn-primary.dropdown-toggle{color:#fff;background-color:#0062cc;border-color:#005cbf}.btn-primary:not(:disabled):not(.disabled).active:focus,.btn-primary:not(:disabled):not(.disabled):active:focus,.show>.btn-primary.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(38,143,255,.5)}.btn-secondary{color:#fff;background-color:#6c757d;border-color:#6c757d}.btn-secondary:hover{color:#fff;background-color:#5a6268;border-color:#545b62}.btn-secondary.focus,.btn-secondary:focus{box-shadow:0 0 0 .2rem rgba(130,138,145,.5)}.btn-secondary.disabled,.btn-secondary:disabled{color:#fff;background-color:#6c757d;border-color:#6c757d}.btn-secondary:not(:disabled):not(.disabled).active,.btn-secondary:not(:disabled):not(.disabled):active,.show>.btn-secondary.dropdown-toggle{color:#fff;background-color:#545b62;border-color:#4e555b}.btn-secondary:not(:disabled):not(.disabled).active:focus,.btn-secondary:not(:disabled):not(.disabled):active:focus,.show>.btn-secondary.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(130,138,145,.5)}.btn-success{color:#fff;background-color:#28a745;border-color:#28a745}.btn-success:hover{color:#fff;background-color:#218838;border-color:#1e7e34}.btn-success.focus,.btn-success:focus{box-shadow:0 0 0 .2rem rgba(72,180,97,.5)}.btn-success.disabled,.btn-success:disabled{color:#fff;background-color:#28a745;border-color:#28a745}.btn-success:not(:disabled):not(.disabled).active,.btn-success:not(:disabled):not(.disabled):active,.show>.btn-success.dropdown-toggle{color:#fff;background-color:#1e7e34;border-color:#1c7430}.btn-success:not(:disabled):not(.disabled).active:focus,.btn-success:not(:disabled):not(.disabled):active:focus,.show>.btn-success.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(72,180,97,.5)}.btn-info{color:#fff;background-color:#17a2b8;border-color:#17a2b8}.btn-info:hover{color:#fff;background-color:#138496;border-color:#117a8b}.btn-info.focus,.btn-info:focus{box-shadow:0 0 0 .2rem rgba(58,176,195,.5)}.btn-info.disabled,.btn-info:disabled{color:#fff;background-color:#17a2b8;border-color:#17a2b8}.btn-info:not(:disabled):not(.disabled).active,.btn-info:not(:disabled):not(.disabled):active,.show>.btn-info.dropdown-toggle{color:#fff;background-color:#117a8b;border-color:#10707f}.btn-info:not(:disabled):not(.disabled).active:focus,.btn-info:not(:disabled):not(.disabled):active:focus,.show>.btn-info.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(58,176,195,.5)}.btn-warning{color:#212529;background-color:#ffc107;border-color:#ffc107}.btn-warning:hover{color:#212529;background-color:#e0a800;border-color:#d39e00}.btn-warning.focus,.btn-warning:focus{box-shadow:0 0 0 .2rem rgba(222,170,12,.5)}.btn-warning.disabled,.btn-warning:disabled{color:#212529;background-color:#ffc107;border-color:#ffc107}.btn-warning:not(:disabled):not(.disabled).active,.btn-warning:not(:disabled):not(.disabled):active,.show>.btn-warning.dropdown-toggle{color:#212529;background-color:#d39e00;border-color:#c69500}.btn-warning:not(:disabled):not(.disabled).active:focus,.btn-warning:not(:disabled):not(.disabled):active:focus,.show>.btn-warning.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(222,170,12,.5)}.btn-danger{color:#fff;background-color:#dc3545;border-color:#dc3545}.btn-danger:hover{color:#fff;background-color:#c82333;border-color:#bd2130}.btn-danger.focus,.btn-danger:focus{box-shadow:0 0 0 .2rem rgba(225,83,97,.5)}.btn-danger.disabled,.btn-danger:disabled{color:#fff;background-color:#dc3545;border-color:#dc3545}.btn-danger:not(:disabled):not(.disabled).active,.btn-danger:not(:disabled):not(.disabled):active,.show>.btn-danger.dropdown-toggle{color:#fff;background-color:#bd2130;border-color:#b21f2d}.btn-danger:not(:disabled):not(.disabled).active:focus,.btn-danger:not(:disabled):not(.disabled):active:focus,.show>.btn-danger.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(225,83,97,.5)}.btn-light{color:#212529;background-color:#f8f9fa;border-color:#f8f9fa}.btn-light:hover{color:#212529;background-color:#e2e6ea;border-color:#dae0e5}.btn-light.focus,.btn-light:focus{box-shadow:0 0 0 .2rem rgba(216,217,219,.5)}.btn-light.disabled,.btn-light:disabled{color:#212529;background-color:#f8f9fa;border-color:#f8f9fa}.btn-light:not(:disabled):not(.disabled).active,.btn-light:not(:disabled):not(.disabled):active,.show>.btn-light.dropdown-toggle{color:#212529;background-color:#dae0e5;border-color:#d3d9df}.btn-light:not(:disabled):not(.disabled).active:focus,.btn-light:not(:disabled):not(.disabled):active:focus,.show>.btn-light.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(216,217,219,.5)}.btn-dark{color:#fff;background-color:#343a40;border-color:#343a40}.btn-dark:hover{color:#fff;background-color:#23272b;border-color:#1d2124}.btn-dark.focus,.btn-dark:focus{box-shadow:0 0 0 .2rem rgba(82,88,93,.5)}.btn-dark.disabled,.btn-dark:disabled{color:#fff;background-color:#343a40;border-color:#343a40}.btn-dark:not(:disabled):not(.disabled).active,.btn-dark:not(:disabled):not(.disabled):active,.show>.btn-dark.dropdown-toggle{color:#fff;background-color:#1d2124;border-color:#171a1d}.btn-dark:not(:disabled):not(.disabled).active:focus,.btn-dark:not(:disabled):not(.disabled):active:focus,.show>.btn-dark.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(82,88,93,.5)}.btn-outline-primary{color:#007bff;border-color:#007bff}.btn-outline-primary:hover{color:#fff;background-color:#007bff;border-color:#007bff}.btn-outline-primary.focus,.btn-outline-primary:focus{box-shadow:0 0 0 .2rem rgba(0,123,255,.5)}.btn-outline-primary.disabled,.btn-outline-primary:disabled{color:#007bff;background-color:transparent}.btn-outline-primary:not(:disabled):not(.disabled).active,.btn-outline-primary:not(:disabled):not(.disabled):active,.show>.btn-outline-primary.dropdown-toggle{color:#fff;background-color:#007bff;border-color:#007bff}.btn-outline-primary:not(:disabled):not(.disabled).active:focus,.btn-outline-primary:not(:disabled):not(.disabled):active:focus,.show>.btn-outline-primary.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(0,123,255,.5)}.btn-outline-secondary{color:#6c757d;border-color:#6c757d}.btn-outline-secondary:hover{color:#fff;background-color:#6c757d;border-color:#6c757d}.btn-outline-secondary.focus,.btn-outline-secondary:focus{box-shadow:0 0 0 .2rem rgba(108,117,125,.5)}.btn-outline-secondary.disabled,.btn-outline-secondary:disabled{color:#6c757d;background-color:transparent}.btn-outline-secondary:not(:disabled):not(.disabled).active,.btn-outline-secondary:not(:disabled):not(.disabled):active,.show>.btn-outline-secondary.dropdown-toggle{color:#fff;background-color:#6c757d;border-color:#6c757d}.btn-outline-secondary:not(:disabled):not(.disabled).active:focus,.btn-outline-secondary:not(:disabled):not(.disabled):active:focus,.show>.btn-outline-secondary.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(108,117,125,.5)}.btn-outline-success{color:#28a745;border-color:#28a745}.btn-outline-success:hover{color:#fff;background-color:#28a745;border-color:#28a745}.btn-outline-success.focus,.btn-outline-success:focus{box-shadow:0 0 0 .2rem rgba(40,167,69,.5)}.btn-outline-success.disabled,.btn-outline-success:disabled{color:#28a745;background-color:transparent}.btn-outline-success:not(:disabled):not(.disabled).active,.btn-outline-success:not(:disabled):not(.disabled):active,.show>.btn-outline-success.dropdown-toggle{color:#fff;background-color:#28a745;border-color:#28a745}.btn-outline-success:not(:disabled):not(.disabled).active:focus,.btn-outline-success:not(:disabled):not(.disabled):active:focus,.show>.btn-outline-success.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(40,167,69,.5)}.btn-outline-info{color:#17a2b8;border-color:#17a2b8}.btn-outline-info:hover{color:#fff;background-color:#17a2b8;border-color:#17a2b8}.btn-outline-info.focus,.btn-outline-info:focus{box-shadow:0 0 0 .2rem rgba(23,162,184,.5)}.btn-outline-info.disabled,.btn-outline-info:disabled{color:#17a2b8;background-color:transparent}.btn-outline-info:not(:disabled):not(.disabled).active,.btn-outline-info:not(:disabled):not(.disabled):active,.show>.btn-outline-info.dropdown-toggle{color:#fff;background-color:#17a2b8;border-color:#17a2b8}.btn-outline-info:not(:disabled):not(.disabled).active:focus,.btn-outline-info:not(:disabled):not(.disabled):active:focus,.show>.btn-outline-info.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(23,162,184,.5)}.btn-outline-warning{color:#ffc107;border-color:#ffc107}.btn-outline-warning:hover{color:#212529;background-color:#ffc107;border-color:#ffc107}.btn-outline-warning.focus,.btn-outline-warning:focus{box-shadow:0 0 0 .2rem rgba(255,193,7,.5)}.btn-outline-warning.disabled,.btn-outline-warning:disabled{color:#ffc107;background-color:transparent}.btn-outline-warning:not(:disabled):not(.disabled).active,.btn-outline-warning:not(:disabled):not(.disabled):active,.show>.btn-outline-warning.dropdown-toggle{color:#212529;background-color:#ffc107;border-color:#ffc107}.btn-outline-warning:not(:disabled):not(.disabled).active:focus,.btn-outline-warning:not(:disabled):not(.disabled):active:focus,.show>.btn-outline-warning.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(255,193,7,.5)}.btn-outline-danger{color:#dc3545;border-color:#dc3545}.btn-outline-danger:hover{color:#fff;background-color:#dc3545;border-color:#dc3545}.btn-outline-danger.focus,.btn-outline-danger:focus{box-shadow:0 0 0 .2rem rgba(220,53,69,.5)}.btn-outline-danger.disabled,.btn-outline-danger:disabled{color:#dc3545;background-color:transparent}.btn-outline-danger:not(:disabled):not(.disabled).active,.btn-outline-danger:not(:disabled):not(.disabled):active,.show>.btn-outline-danger.dropdown-toggle{color:#fff;background-color:#dc3545;border-color:#dc3545}.btn-outline-danger:not(:disabled):not(.disabled).active:focus,.btn-outline-danger:not(:disabled):not(.disabled):active:focus,.show>.btn-outline-danger.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(220,53,69,.5)}.btn-outline-light{color:#f8f9fa;border-color:#f8f9fa}.btn-outline-light:hover{color:#212529;background-color:#f8f9fa;border-color:#f8f9fa}.btn-outline-light.focus,.btn-outline-light:focus{box-shadow:0 0 0 .2rem rgba(248,249,250,.5)}.btn-outline-light.disabled,.btn-outline-light:disabled{color:#f8f9fa;background-color:transparent}.btn-outline-light:not(:disabled):not(.disabled).active,.btn-outline-light:not(:disabled):not(.disabled):active,.show>.btn-outline-light.dropdown-toggle{color:#212529;background-color:#f8f9fa;border-color:#f8f9fa}.btn-outline-light:not(:disabled):not(.disabled).active:focus,.btn-outline-light:not(:disabled):not(.disabled):active:focus,.show>.btn-outline-light.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(248,249,250,.5)}.btn-outline-dark{color:#343a40;border-color:#343a40}.btn-outline-dark:hover{color:#fff;background-color:#343a40;border-color:#343a40}.btn-outline-dark.focus,.btn-outline-dark:focus{box-shadow:0 0 0 .2rem rgba(52,58,64,.5)}.btn-outline-dark.disabled,.btn-outline-dark:disabled{color:#343a40;background-color:transparent}.btn-outline-dark:not(:disabled):not(.disabled).active,.btn-outline-dark:not(:disabled):not(.disabled):active,.show>.btn-outline-dark.dropdown-toggle{color:#fff;background-color:#343a40;border-color:#343a40}.btn-outline-dark:not(:disabled):not(.disabled).active:focus,.btn-outline-dark:not(:disabled):not(.disabled):active:focus,.show>.btn-outline-dark.dropdown-toggle:focus{box-shadow:0 0 0 .2rem rgba(52,58,64,.5)}.btn-link{font-weight:400;color:#007bff;text-decoration:none}.btn-link:hover{color:#0056b3;text-decoration:underline}.btn-link.focus,.btn-link:focus{text-decoration:underline;box-shadow:none}.btn-link.disabled,.btn-link:disabled{color:#6c757d;pointer-events:none}.btn-group-lg>.btn,.btn-lg{padding:.5rem 1rem;font-size:1.25rem;line-height:1.5;border-radius:.3rem}.btn-group-sm>.btn,.btn-sm{padding:.25rem .5rem;font-size:.875rem;line-height:1.5;border-radius:.2rem}.btn-block{display:block;width:100%}.btn-block+.btn-block{margin-top:.5rem}input[type=button].btn-block,input[type=reset].btn-block,input[type=submit].btn-block{width:100%}.fade{transition:opacity .15s linear}@media (prefers-reduced-motion:reduce){.fade{transition:none}}.fade:not(.show){opacity:0}.collapse:not(.show){display:none}.collapsing{position:relative;height:0;overflow:hidden;transition:height .35s ease}@media (prefers-reduced-motion:reduce){.collapsing{transition:none}}.dropdown,.dropleft,.dropright,.dropup{position:relative}.dropdown-toggle{white-space:nowrap}.dropdown-toggle::after{display:inline-block;margin-left:.255em;vertical-align:.255em;content:"";border-top:.3em solid;border-right:.3em solid transparent;border-bottom:0;border-left:.3em solid transparent}.dropdown-toggle:empty::after{margin-left:0}.dropdown-menu{position:absolute;top:100%;left:0;z-index:1000;display:none;float:left;min-width:10rem;padding:.5rem 0;margin:.125rem 0 0;font-size:1rem;color:#212529;text-align:left;list-style:none;background-color:#fff;background-clip:padding-box;border:1px solid rgba(0,0,0,.15);border-radius:.25rem}.dropdown-menu-left{right:auto;left:0}.dropdown-menu-right{right:0;left:auto}@media (min-width:576px){.dropdown-menu-sm-left{right:auto;left:0}.dropdown-menu-sm-right{right:0;left:auto}}@media (min-width:768px){.dropdown-menu-md-left{right:auto;left:0}.dropdown-menu-md-right{right:0;left:auto}}@media (min-width:992px){.dropdown-menu-lg-left{right:auto;left:0}.dropdown-menu-lg-right{right:0;left:auto}}@media (min-width:1200px){.dropdown-menu-xl-left{right:auto;left:0}.dropdown-menu-xl-right{right:0;left:auto}}.dropup .dropdown-menu{top:auto;bottom:100%;margin-top:0;margin-bottom:.125rem}.dropup .dropdown-toggle::after{display:inline-block;margin-left:.255em;vertical-align:.255em;content:"";border-top:0;border-right:.3em solid transparent;border-bottom:.3em solid;border-left:.3em solid transparent}.dropup .dropdown-toggle:empty::after{margin-left:0}.dropright .dropdown-menu{top:0;right:auto;left:100%;margin-top:0;margin-left:.125rem}.dropright .dropdown-toggle::after{display:inline-block;margin-left:.255em;vertical-align:.255em;content:"";border-top:.3em solid transparent;border-right:0;border-bottom:.3em solid transparent;border-left:.3em solid}.dropright .dropdown-toggle:empty::after{margin-left:0}.dropright .dropdown-toggle::after{vertical-align:0}.dropleft .dropdown-menu{top:0;right:100%;left:auto;margin-top:0;margin-right:.125rem}.dropleft .dropdown-toggle::after{display:inline-block;margin-left:.255em;vertical-align:.255em;content:""}.dropleft .dropdown-toggle::after{display:none}.dropleft .dropdown-toggle::before{display:inline-block;margin-right:.255em;vertical-align:.255em;content:"";border-top:.3em solid transparent;border-right:.3em solid;border-bottom:.3em solid transparent}.dropleft .dropdown-toggle:empty::after{margin-left:0}.dropleft .dropdown-toggle::before{vertical-align:0}.dropdown-menu[x-placement^=bottom],.dropdown-menu[x-placement^=left],.dropdown-menu[x-placement^=right],.dropdown-menu[x-placement^=top]{right:auto;bottom:auto}.dropdown-divider{height:0;margin:.5rem 0;overflow:hidden;border-top:1px solid #e9ecef}.dropdown-item{display:block;width:100%;padding:.25rem 1.5rem;clear:both;font-weight:400;color:#212529;text-align:inherit;white-space:nowrap;background-color:transparent;border:0}.dropdown-item:focus,.dropdown-item:hover{color:#16181b;text-decoration:none;background-color:#f8f9fa}.dropdown-item.active,.dropdown-item:active{color:#fff;text-decoration:none;background-color:#007bff}.dropdown-item.disabled,.dropdown-item:disabled{color:#6c757d;pointer-events:none;background-color:transparent}.dropdown-menu.show{display:block}.dropdown-header{display:block;padding:.5rem 1.5rem;margin-bottom:0;font-size:.875rem;color:#6c757d;white-space:nowrap}.dropdown-item-text{display:block;padding:.25rem 1.5rem;color:#212529}.btn-group,.btn-group-vertical{position:relative;display:-ms-inline-flexbox;display:inline-flex;vertical-align:middle}.btn-group-vertical>.btn,.btn-group>.btn{position:relative;-ms-flex:1 1 auto;flex:1 1 auto}.btn-group-vertical>.btn:hover,.btn-group>.btn:hover{z-index:1}.btn-group-vertical>.btn.active,.btn-group-vertical>.btn:active,.btn-group-vertical>.btn:focus,.btn-group>.btn.active,.btn-group>.btn:active,.btn-group>.btn:focus{z-index:1}.btn-toolbar{display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap;-ms-flex-pack:start;justify-content:flex-start}.btn-toolbar .input-group{width:auto}.btn-group>.btn-group:not(:first-child),.btn-group>.btn:not(:first-child){margin-left:-1px}.btn-group>.btn-group:not(:last-child)>.btn,.btn-group>.btn:not(:last-child):not(.dropdown-toggle){border-top-right-radius:0;border-bottom-right-radius:0}.btn-group>.btn-group:not(:first-child)>.btn,.btn-group>.btn:not(:first-child){border-top-left-radius:0;border-bottom-left-radius:0}.dropdown-toggle-split{padding-right:.5625rem;padding-left:.5625rem}.dropdown-toggle-split::after,.dropright .dropdown-toggle-split::after,.dropup .dropdown-toggle-split::after{margin-left:0}.dropleft .dropdown-toggle-split::before{margin-right:0}.btn-group-sm>.btn+.dropdown-toggle-split,.btn-sm+.dropdown-toggle-split{padding-right:.375rem;padding-left:.375rem}.btn-group-lg>.btn+.dropdown-toggle-split,.btn-lg+.dropdown-toggle-split{padding-right:.75rem;padding-left:.75rem}.btn-group-vertical{-ms-flex-direction:column;flex-direction:column;-ms-flex-align:start;align-items:flex-start;-ms-flex-pack:center;justify-content:center}.btn-group-vertical>.btn,.btn-group-vertical>.btn-group{width:100%}.btn-group-vertical>.btn-group:not(:first-child),.btn-group-vertical>.btn:not(:first-child){margin-top:-1px}.btn-group-vertical>.btn-group:not(:last-child)>.btn,.btn-group-vertical>.btn:not(:last-child):not(.dropdown-toggle){border-bottom-right-radius:0;border-bottom-left-radius:0}.btn-group-vertical>.btn-group:not(:first-child)>.btn,.btn-group-vertical>.btn:not(:first-child){border-top-left-radius:0;border-top-right-radius:0}.btn-group-toggle>.btn,.btn-group-toggle>.btn-group>.btn{margin-bottom:0}.btn-group-toggle>.btn input[type=checkbox],.btn-group-toggle>.btn input[type=radio],.btn-group-toggle>.btn-group>.btn input[type=checkbox],.btn-group-toggle>.btn-group>.btn input[type=radio]{position:absolute;clip:rect(0,0,0,0);pointer-events:none}.input-group{position:relative;display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap;-ms-flex-align:stretch;align-items:stretch;width:100%}.input-group>.custom-file,.input-group>.custom-select,.input-group>.form-control,.input-group>.form-control-plaintext{position:relative;-ms-flex:1 1 auto;flex:1 1 auto;width:1%;margin-bottom:0}.input-group>.custom-file+.custom-file,.input-group>.custom-file+.custom-select,.input-group>.custom-file+.form-control,.input-group>.custom-select+.custom-file,.input-group>.custom-select+.custom-select,.input-group>.custom-select+.form-control,.input-group>.form-control+.custom-file,.input-group>.form-control+.custom-select,.input-group>.form-control+.form-control,.input-group>.form-control-plaintext+.custom-file,.input-group>.form-control-plaintext+.custom-select,.input-group>.form-control-plaintext+.form-control{margin-left:-1px}.input-group>.custom-file .custom-file-input:focus~.custom-file-label,.input-group>.custom-select:focus,.input-group>.form-control:focus{z-index:3}.input-group>.custom-file .custom-file-input:focus{z-index:4}.input-group>.custom-select:not(:last-child),.input-group>.form-control:not(:last-child){border-top-right-radius:0;border-bottom-right-radius:0}.input-group>.custom-select:not(:first-child),.input-group>.form-control:not(:first-child){border-top-left-radius:0;border-bottom-left-radius:0}.input-group>.custom-file{display:-ms-flexbox;display:flex;-ms-flex-align:center;align-items:center}.input-group>.custom-file:not(:last-child) .custom-file-label,.input-group>.custom-file:not(:last-child) .custom-file-label::after{border-top-right-radius:0;border-bottom-right-radius:0}.input-group>.custom-file:not(:first-child) .custom-file-label{border-top-left-radius:0;border-bottom-left-radius:0}.input-group-append,.input-group-prepend{display:-ms-flexbox;display:flex}.input-group-append .btn,.input-group-prepend .btn{position:relative;z-index:2}.input-group-append .btn:focus,.input-group-prepend .btn:focus{z-index:3}.input-group-append .btn+.btn,.input-group-append .btn+.input-group-text,.input-group-append .input-group-text+.btn,.input-group-append .input-group-text+.input-group-text,.input-group-prepend .btn+.btn,.input-group-prepend .btn+.input-group-text,.input-group-prepend .input-group-text+.btn,.input-group-prepend .input-group-text+.input-group-text{margin-left:-1px}.input-group-prepend{margin-right:-1px}.input-group-append{margin-left:-1px}.input-group-text{display:-ms-flexbox;display:flex;-ms-flex-align:center;align-items:center;padding:.375rem .75rem;margin-bottom:0;font-size:1rem;font-weight:400;line-height:1.5;color:#495057;text-align:center;white-space:nowrap;background-color:#e9ecef;border:1px solid #ced4da;border-radius:.25rem}.input-group-text input[type=checkbox],.input-group-text input[type=radio]{margin-top:0}.input-group-lg>.custom-select,.input-group-lg>.form-control:not(textarea){height:calc(1.5em + 1rem + 2px)}.input-group-lg>.custom-select,.input-group-lg>.form-control,.input-group-lg>.input-group-append>.btn,.input-group-lg>.input-group-append>.input-group-text,.input-group-lg>.input-group-prepend>.btn,.input-group-lg>.input-group-prepend>.input-group-text{padding:.5rem 1rem;font-size:1.25rem;line-height:1.5;border-radius:.3rem}.input-group-sm>.custom-select,.input-group-sm>.form-control:not(textarea){height:calc(1.5em + .5rem + 2px)}.input-group-sm>.custom-select,.input-group-sm>.form-control,.input-group-sm>.input-group-append>.btn,.input-group-sm>.input-group-append>.input-group-text,.input-group-sm>.input-group-prepend>.btn,.input-group-sm>.input-group-prepend>.input-group-text{padding:.25rem .5rem;font-size:.875rem;line-height:1.5;border-radius:.2rem}.input-group-lg>.custom-select,.input-group-sm>.custom-select{padding-right:1.75rem}.input-group>.input-group-append:last-child>.btn:not(:last-child):not(.dropdown-toggle),.input-group>.input-group-append:last-child>.input-group-text:not(:last-child),.input-group>.input-group-append:not(:last-child)>.btn,.input-group>.input-group-append:not(:last-child)>.input-group-text,.input-group>.input-group-prepend>.btn,.input-group>.input-group-prepend>.input-group-text{border-top-right-radius:0;border-bottom-right-radius:0}.input-group>.input-group-append>.btn,.input-group>.input-group-append>.input-group-text,.input-group>.input-group-prepend:first-child>.btn:not(:first-child),.input-group>.input-group-prepend:first-child>.input-group-text:not(:first-child),.input-group>.input-group-prepend:not(:first-child)>.btn,.input-group>.input-group-prepend:not(:first-child)>.input-group-text{border-top-left-radius:0;border-bottom-left-radius:0}.custom-control{position:relative;display:block;min-height:1.5rem;padding-left:1.5rem}.custom-control-inline{display:-ms-inline-flexbox;display:inline-flex;margin-right:1rem}.custom-control-input{position:absolute;z-index:-1;opacity:0}.custom-control-input:checked~.custom-control-label::before{color:#fff;border-color:#007bff;background-color:#007bff}.custom-control-input:focus~.custom-control-label::before{box-shadow:0 0 0 .2rem rgba(0,123,255,.25)}.custom-control-input:focus:not(:checked)~.custom-control-label::before{border-color:#80bdff}.custom-control-input:not(:disabled):active~.custom-control-label::before{color:#fff;background-color:#b3d7ff;border-color:#b3d7ff}.custom-control-input:disabled~.custom-control-label{color:#6c757d}.custom-control-input:disabled~.custom-control-label::before{background-color:#e9ecef}.custom-control-label{position:relative;margin-bottom:0;vertical-align:top}.custom-control-label::before{position:absolute;top:.25rem;left:-1.5rem;display:block;width:1rem;height:1rem;pointer-events:none;content:"";background-color:#fff;border:#adb5bd solid 1px}.custom-control-label::after{position:absolute;top:.25rem;left:-1.5rem;display:block;width:1rem;height:1rem;content:"";background:no-repeat 50%/50% 50%}.custom-checkbox .custom-control-label::before{border-radius:.25rem}.custom-checkbox .custom-control-input:checked~.custom-control-label::after{background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 8 8'%3e%3cpath fill='%23fff' d='M6.564.75l-3.59 3.612-1.538-1.55L0 4.26 2.974 7.25 8 2.193z'/%3e%3c/svg%3e")}.custom-checkbox .custom-control-input:indeterminate~.custom-control-label::before{border-color:#007bff;background-color:#007bff}.custom-checkbox .custom-control-input:indeterminate~.custom-control-label::after{background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 4 4'%3e%3cpath stroke='%23fff' d='M0 2h4'/%3e%3c/svg%3e")}.custom-checkbox .custom-control-input:disabled:checked~.custom-control-label::before{background-color:rgba(0,123,255,.5)}.custom-checkbox .custom-control-input:disabled:indeterminate~.custom-control-label::before{background-color:rgba(0,123,255,.5)}.custom-radio .custom-control-label::before{border-radius:50%}.custom-radio .custom-control-input:checked~.custom-control-label::after{background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='-4 -4 8 8'%3e%3ccircle r='3' fill='%23fff'/%3e%3c/svg%3e")}.custom-radio .custom-control-input:disabled:checked~.custom-control-label::before{background-color:rgba(0,123,255,.5)}.custom-switch{padding-left:2.25rem}.custom-switch .custom-control-label::before{left:-2.25rem;width:1.75rem;pointer-events:all;border-radius:.5rem}.custom-switch .custom-control-label::after{top:calc(.25rem + 2px);left:calc(-2.25rem + 2px);width:calc(1rem - 4px);height:calc(1rem - 4px);background-color:#adb5bd;border-radius:.5rem;transition:background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out,-webkit-transform .15s ease-in-out;transition:transform .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out;transition:transform .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out,-webkit-transform .15s ease-in-out}@media (prefers-reduced-motion:reduce){.custom-switch .custom-control-label::after{transition:none}}.custom-switch .custom-control-input:checked~.custom-control-label::after{background-color:#fff;-webkit-transform:translateX(.75rem);transform:translateX(.75rem)}.custom-switch .custom-control-input:disabled:checked~.custom-control-label::before{background-color:rgba(0,123,255,.5)}.custom-select{display:inline-block;width:100%;height:calc(1.5em + .75rem + 2px);padding:.375rem 1.75rem .375rem .75rem;font-size:1rem;font-weight:400;line-height:1.5;color:#495057;vertical-align:middle;background:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 4 5'%3e%3cpath fill='%23343a40' d='M2 0L0 2h4zm0 5L0 3h4z'/%3e%3c/svg%3e") no-repeat right .75rem center/8px 10px;background-color:#fff;border:1px solid #ced4da;border-radius:.25rem;-webkit-appearance:none;-moz-appearance:none;appearance:none}.custom-select:focus{border-color:#80bdff;outline:0;box-shadow:0 0 0 .2rem rgba(0,123,255,.25)}.custom-select:focus::-ms-value{color:#495057;background-color:#fff}.custom-select[multiple],.custom-select[size]:not([size="1"]){height:auto;padding-right:.75rem;background-image:none}.custom-select:disabled{color:#6c757d;background-color:#e9ecef}.custom-select::-ms-expand{display:none}.custom-select-sm{height:calc(1.5em + .5rem + 2px);padding-top:.25rem;padding-bottom:.25rem;padding-left:.5rem;font-size:.875rem}.custom-select-lg{height:calc(1.5em + 1rem + 2px);padding-top:.5rem;padding-bottom:.5rem;padding-left:1rem;font-size:1.25rem}.custom-file{position:relative;display:inline-block;width:100%;height:calc(1.5em + .75rem + 2px);margin-bottom:0}.custom-file-input{position:relative;z-index:2;width:100%;height:calc(1.5em + .75rem + 2px);margin:0;opacity:0}.custom-file-input:focus~.custom-file-label{border-color:#80bdff;box-shadow:0 0 0 .2rem rgba(0,123,255,.25)}.custom-file-input:disabled~.custom-file-label{background-color:#e9ecef}.custom-file-input:lang(en)~.custom-file-label::after{content:"Browse"}.custom-file-input~.custom-file-label[data-browse]::after{content:attr(data-browse)}.custom-file-label{position:absolute;top:0;right:0;left:0;z-index:1;height:calc(1.5em + .75rem + 2px);padding:.375rem .75rem;font-weight:400;line-height:1.5;color:#495057;background-color:#fff;border:1px solid #ced4da;border-radius:.25rem}.custom-file-label::after{position:absolute;top:0;right:0;bottom:0;z-index:3;display:block;height:calc(1.5em + .75rem);padding:.375rem .75rem;line-height:1.5;color:#495057;content:"Browse";background-color:#e9ecef;border-left:inherit;border-radius:0 .25rem .25rem 0}.custom-range{width:100%;height:calc(1rem + .4rem);padding:0;background-color:transparent;-webkit-appearance:none;-moz-appearance:none;appearance:none}.custom-range:focus{outline:0}.custom-range:focus::-webkit-slider-thumb{box-shadow:0 0 0 1px #fff,0 0 0 .2rem rgba(0,123,255,.25)}.custom-range:focus::-moz-range-thumb{box-shadow:0 0 0 1px #fff,0 0 0 .2rem rgba(0,123,255,.25)}.custom-range:focus::-ms-thumb{box-shadow:0 0 0 1px #fff,0 0 0 .2rem rgba(0,123,255,.25)}.custom-range::-moz-focus-outer{border:0}.custom-range::-webkit-slider-thumb{width:1rem;height:1rem;margin-top:-.25rem;background-color:#007bff;border:0;border-radius:1rem;transition:background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out;-webkit-appearance:none;appearance:none}@media (prefers-reduced-motion:reduce){.custom-range::-webkit-slider-thumb{transition:none}}.custom-range::-webkit-slider-thumb:active{background-color:#b3d7ff}.custom-range::-webkit-slider-runnable-track{width:100%;height:.5rem;color:transparent;cursor:pointer;background-color:#dee2e6;border-color:transparent;border-radius:1rem}.custom-range::-moz-range-thumb{width:1rem;height:1rem;background-color:#007bff;border:0;border-radius:1rem;transition:background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out;-moz-appearance:none;appearance:none}@media (prefers-reduced-motion:reduce){.custom-range::-moz-range-thumb{transition:none}}.custom-range::-moz-range-thumb:active{background-color:#b3d7ff}.custom-range::-moz-range-track{width:100%;height:.5rem;color:transparent;cursor:pointer;background-color:#dee2e6;border-color:transparent;border-radius:1rem}.custom-range::-ms-thumb{width:1rem;height:1rem;margin-top:0;margin-right:.2rem;margin-left:.2rem;background-color:#007bff;border:0;border-radius:1rem;transition:background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out;appearance:none}@media (prefers-reduced-motion:reduce){.custom-range::-ms-thumb{transition:none}}.custom-range::-ms-thumb:active{background-color:#b3d7ff}.custom-range::-ms-track{width:100%;height:.5rem;color:transparent;cursor:pointer;background-color:transparent;border-color:transparent;border-width:.5rem}.custom-range::-ms-fill-lower{background-color:#dee2e6;border-radius:1rem}.custom-range::-ms-fill-upper{margin-right:15px;background-color:#dee2e6;border-radius:1rem}.custom-range:disabled::-webkit-slider-thumb{background-color:#adb5bd}.custom-range:disabled::-webkit-slider-runnable-track{cursor:default}.custom-range:disabled::-moz-range-thumb{background-color:#adb5bd}.custom-range:disabled::-moz-range-track{cursor:default}.custom-range:disabled::-ms-thumb{background-color:#adb5bd}.custom-control-label::before,.custom-file-label,.custom-select{transition:background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out}@media (prefers-reduced-motion:reduce){.custom-control-label::before,.custom-file-label,.custom-select{transition:none}}.nav{display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap;padding-left:0;margin-bottom:0;list-style:none}.nav-link{display:block;padding:.5rem 1rem}.nav-link:focus,.nav-link:hover{text-decoration:none}.nav-link.disabled{color:#6c757d;pointer-events:none;cursor:default}.nav-tabs{border-bottom:1px solid #dee2e6}.nav-tabs .nav-item{margin-bottom:-1px}.nav-tabs .nav-link{border:1px solid transparent;border-top-left-radius:.25rem;border-top-right-radius:.25rem}.nav-tabs .nav-link:focus,.nav-tabs .nav-link:hover{border-color:#e9ecef #e9ecef #dee2e6}.nav-tabs .nav-link.disabled{color:#6c757d;background-color:transparent;border-color:transparent}.nav-tabs .nav-item.show .nav-link,.nav-tabs .nav-link.active{color:#495057;background-color:#fff;border-color:#dee2e6 #dee2e6 #fff}.nav-tabs .dropdown-menu{margin-top:-1px;border-top-left-radius:0;border-top-right-radius:0}.nav-pills .nav-link{border-radius:.25rem}.nav-pills .nav-link.active,.nav-pills .show>.nav-link{color:#fff;background-color:#007bff}.nav-fill .nav-item{-ms-flex:1 1 auto;flex:1 1 auto;text-align:center}.nav-justified .nav-item{-ms-flex-preferred-size:0;flex-basis:0;-ms-flex-positive:1;flex-grow:1;text-align:center}.tab-content>.tab-pane{display:none}.tab-content>.active{display:block}.navbar{position:relative;display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap;-ms-flex-align:center;align-items:center;-ms-flex-pack:justify;justify-content:space-between;padding:.5rem 1rem}.navbar>.container,.navbar>.container-fluid{display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap;-ms-flex-align:center;align-items:center;-ms-flex-pack:justify;justify-content:space-between}.navbar-brand{display:inline-block;padding-top:.3125rem;padding-bottom:.3125rem;margin-right:1rem;font-size:1.25rem;line-height:inherit;white-space:nowrap}.navbar-brand:focus,.navbar-brand:hover{text-decoration:none}.navbar-nav{display:-ms-flexbox;display:flex;-ms-flex-direction:column;flex-direction:column;padding-left:0;margin-bottom:0;list-style:none}.navbar-nav .nav-link{padding-right:0;padding-left:0}.navbar-nav .dropdown-menu{position:static;float:none}.navbar-text{display:inline-block;padding-top:.5rem;padding-bottom:.5rem}.navbar-collapse{-ms-flex-preferred-size:100%;flex-basis:100%;-ms-flex-positive:1;flex-grow:1;-ms-flex-align:center;align-items:center}.navbar-toggler{padding:.25rem .75rem;font-size:1.25rem;line-height:1;background-color:transparent;border:1px solid transparent;border-radius:.25rem}.navbar-toggler:focus,.navbar-toggler:hover{text-decoration:none}.navbar-toggler-icon{display:inline-block;width:1.5em;height:1.5em;vertical-align:middle;content:"";background:no-repeat center center;background-size:100% 100%}@media (max-width:575.98px){.navbar-expand-sm>.container,.navbar-expand-sm>.container-fluid{padding-right:0;padding-left:0}}@media (min-width:576px){.navbar-expand-sm{-ms-flex-flow:row nowrap;flex-flow:row nowrap;-ms-flex-pack:start;justify-content:flex-start}.navbar-expand-sm .navbar-nav{-ms-flex-direction:row;flex-direction:row}.navbar-expand-sm .navbar-nav .dropdown-menu{position:absolute}.navbar-expand-sm .navbar-nav .nav-link{padding-right:.5rem;padding-left:.5rem}.navbar-expand-sm>.container,.navbar-expand-sm>.container-fluid{-ms-flex-wrap:nowrap;flex-wrap:nowrap}.navbar-expand-sm .navbar-collapse{display:-ms-flexbox!important;display:flex!important;-ms-flex-preferred-size:auto;flex-basis:auto}.navbar-expand-sm .navbar-toggler{display:none}}@media (max-width:767.98px){.navbar-expand-md>.container,.navbar-expand-md>.container-fluid{padding-right:0;padding-left:0}}@media (min-width:768px){.navbar-expand-md{-ms-flex-flow:row nowrap;flex-flow:row nowrap;-ms-flex-pack:start;justify-content:flex-start}.navbar-expand-md .navbar-nav{-ms-flex-direction:row;flex-direction:row}.navbar-expand-md .navbar-nav .dropdown-menu{position:absolute}.navbar-expand-md .navbar-nav .nav-link{padding-right:.5rem;padding-left:.5rem}.navbar-expand-md>.container,.navbar-expand-md>.container-fluid{-ms-flex-wrap:nowrap;flex-wrap:nowrap}.navbar-expand-md .navbar-collapse{display:-ms-flexbox!important;display:flex!important;-ms-flex-preferred-size:auto;flex-basis:auto}.navbar-expand-md .navbar-toggler{display:none}}@media (max-width:991.98px){.navbar-expand-lg>.container,.navbar-expand-lg>.container-fluid{padding-right:0;padding-left:0}}@media (min-width:992px){.navbar-expand-lg{-ms-flex-flow:row nowrap;flex-flow:row nowrap;-ms-flex-pack:start;justify-content:flex-start}.navbar-expand-lg .navbar-nav{-ms-flex-direction:row;flex-direction:row}.navbar-expand-lg .navbar-nav .dropdown-menu{position:absolute}.navbar-expand-lg .navbar-nav .nav-link{padding-right:.5rem;padding-left:.5rem}.navbar-expand-lg>.container,.navbar-expand-lg>.container-fluid{-ms-flex-wrap:nowrap;flex-wrap:nowrap}.navbar-expand-lg .navbar-collapse{display:-ms-flexbox!important;display:flex!important;-ms-flex-preferred-size:auto;flex-basis:auto}.navbar-expand-lg .navbar-toggler{display:none}}@media (max-width:1199.98px){.navbar-expand-xl>.container,.navbar-expand-xl>.container-fluid{padding-right:0;padding-left:0}}@media (min-width:1200px){.navbar-expand-xl{-ms-flex-flow:row nowrap;flex-flow:row nowrap;-ms-flex-pack:start;justify-content:flex-start}.navbar-expand-xl .navbar-nav{-ms-flex-direction:row;flex-direction:row}.navbar-expand-xl .navbar-nav .dropdown-menu{position:absolute}.navbar-expand-xl .navbar-nav .nav-link{padding-right:.5rem;padding-left:.5rem}.navbar-expand-xl>.container,.navbar-expand-xl>.container-fluid{-ms-flex-wrap:nowrap;flex-wrap:nowrap}.navbar-expand-xl .navbar-collapse{display:-ms-flexbox!important;display:flex!important;-ms-flex-preferred-size:auto;flex-basis:auto}.navbar-expand-xl .navbar-toggler{display:none}}.navbar-expand{-ms-flex-flow:row nowrap;flex-flow:row nowrap;-ms-flex-pack:start;justify-content:flex-start}.navbar-expand>.container,.navbar-expand>.container-fluid{padding-right:0;padding-left:0}.navbar-expand .navbar-nav{-ms-flex-direction:row;flex-direction:row}.navbar-expand .navbar-nav .dropdown-menu{position:absolute}.navbar-expand .navbar-nav .nav-link{padding-right:.5rem;padding-left:.5rem}.navbar-expand>.container,.navbar-expand>.container-fluid{-ms-flex-wrap:nowrap;flex-wrap:nowrap}.navbar-expand .navbar-collapse{display:-ms-flexbox!important;display:flex!important;-ms-flex-preferred-size:auto;flex-basis:auto}.navbar-expand .navbar-toggler{display:none}.navbar-light .navbar-brand{color:rgba(0,0,0,.9)}.navbar-light .navbar-brand:focus,.navbar-light .navbar-brand:hover{color:rgba(0,0,0,.9)}.navbar-light .navbar-nav .nav-link{color:rgba(0,0,0,.5)}.navbar-light .navbar-nav .nav-link:focus,.navbar-light .navbar-nav .nav-link:hover{color:rgba(0,0,0,.7)}.navbar-light .navbar-nav .nav-link.disabled{color:rgba(0,0,0,.3)}.navbar-light .navbar-nav .active>.nav-link,.navbar-light .navbar-nav .nav-link.active,.navbar-light .navbar-nav .nav-link.show,.navbar-light .navbar-nav .show>.nav-link{color:rgba(0,0,0,.9)}.navbar-light .navbar-toggler{color:rgba(0,0,0,.5);border-color:rgba(0,0,0,.1)}.navbar-light .navbar-toggler-icon{background-image:url("data:image/svg+xml,%3csvg viewBox='0 0 30 30' xmlns='http://www.w3.org/2000/svg'%3e%3cpath stroke='rgba(0, 0, 0, 0.5)' stroke-width='2' stroke-linecap='round' stroke-miterlimit='10' d='M4 7h22M4 15h22M4 23h22'/%3e%3c/svg%3e")}.navbar-light .navbar-text{color:rgba(0,0,0,.5)}.navbar-light .navbar-text a{color:rgba(0,0,0,.9)}.navbar-light .navbar-text a:focus,.navbar-light .navbar-text a:hover{color:rgba(0,0,0,.9)}.navbar-dark .navbar-brand{color:#fff}.navbar-dark .navbar-brand:focus,.navbar-dark .navbar-brand:hover{color:#fff}.navbar-dark .navbar-nav .nav-link{color:rgba(255,255,255,.5)}.navbar-dark .navbar-nav .nav-link:focus,.navbar-dark .navbar-nav .nav-link:hover{color:rgba(255,255,255,.75)}.navbar-dark .navbar-nav .nav-link.disabled{color:rgba(255,255,255,.25)}.navbar-dark .navbar-nav .active>.nav-link,.navbar-dark .navbar-nav .nav-link.active,.navbar-dark .navbar-nav .nav-link.show,.navbar-dark .navbar-nav .show>.nav-link{color:#fff}.navbar-dark .navbar-toggler{color:rgba(255,255,255,.5);border-color:rgba(255,255,255,.1)}.navbar-dark .navbar-toggler-icon{background-image:url("data:image/svg+xml,%3csvg viewBox='0 0 30 30' xmlns='http://www.w3.org/2000/svg'%3e%3cpath stroke='rgba(255, 255, 255, 0.5)' stroke-width='2' stroke-linecap='round' stroke-miterlimit='10' d='M4 7h22M4 15h22M4 23h22'/%3e%3c/svg%3e")}.navbar-dark .navbar-text{color:rgba(255,255,255,.5)}.navbar-dark .navbar-text a{color:#fff}.navbar-dark .navbar-text a:focus,.navbar-dark .navbar-text a:hover{color:#fff}.card{position:relative;display:-ms-flexbox;display:flex;-ms-flex-direction:column;flex-direction:column;min-width:0;word-wrap:break-word;background-color:#fff;background-clip:border-box;border:1px solid rgba(0,0,0,.125);border-radius:.25rem}.card>hr{margin-right:0;margin-left:0}.card>.list-group:first-child .list-group-item:first-child{border-top-left-radius:.25rem;border-top-right-radius:.25rem}.card>.list-group:last-child .list-group-item:last-child{border-bottom-right-radius:.25rem;border-bottom-left-radius:.25rem}.card-body{-ms-flex:1 1 auto;flex:1 1 auto;padding:1.25rem}.card-title{margin-bottom:.75rem}.card-subtitle{margin-top:-.375rem;margin-bottom:0}.card-text:last-child{margin-bottom:0}.card-link:hover{text-decoration:none}.card-link+.card-link{margin-left:1.25rem}.card-header{padding:.75rem 1.25rem;margin-bottom:0;background-color:rgba(0,0,0,.03);border-bottom:1px solid rgba(0,0,0,.125)}.card-header:first-child{border-radius:calc(.25rem - 1px) calc(.25rem - 1px) 0 0}.card-header+.list-group .list-group-item:first-child{border-top:0}.card-footer{padding:.75rem 1.25rem;background-color:rgba(0,0,0,.03);border-top:1px solid rgba(0,0,0,.125)}.card-footer:last-child{border-radius:0 0 calc(.25rem - 1px) calc(.25rem - 1px)}.card-header-tabs{margin-right:-.625rem;margin-bottom:-.75rem;margin-left:-.625rem;border-bottom:0}.card-header-pills{margin-right:-.625rem;margin-left:-.625rem}.card-img-overlay{position:absolute;top:0;right:0;bottom:0;left:0;padding:1.25rem}.card-img{width:100%;border-radius:calc(.25rem - 1px)}.card-img-top{width:100%;border-top-left-radius:calc(.25rem - 1px);border-top-right-radius:calc(.25rem - 1px)}.card-img-bottom{width:100%;border-bottom-right-radius:calc(.25rem - 1px);border-bottom-left-radius:calc(.25rem - 1px)}.card-deck{display:-ms-flexbox;display:flex;-ms-flex-direction:column;flex-direction:column}.card-deck .card{margin-bottom:15px}@media (min-width:576px){.card-deck{-ms-flex-flow:row wrap;flex-flow:row wrap;margin-right:-15px;margin-left:-15px}.card-deck .card{display:-ms-flexbox;display:flex;-ms-flex:1 0 0%;flex:1 0 0%;-ms-flex-direction:column;flex-direction:column;margin-right:15px;margin-bottom:0;margin-left:15px}}.card-group{display:-ms-flexbox;display:flex;-ms-flex-direction:column;flex-direction:column}.card-group>.card{margin-bottom:15px}@media (min-width:576px){.card-group{-ms-flex-flow:row wrap;flex-flow:row wrap}.card-group>.card{-ms-flex:1 0 0%;flex:1 0 0%;margin-bottom:0}.card-group>.card+.card{margin-left:0;border-left:0}.card-group>.card:not(:last-child){border-top-right-radius:0;border-bottom-right-radius:0}.card-group>.card:not(:last-child) .card-header,.card-group>.card:not(:last-child) .card-img-top{border-top-right-radius:0}.card-group>.card:not(:last-child) .card-footer,.card-group>.card:not(:last-child) .card-img-bottom{border-bottom-right-radius:0}.card-group>.card:not(:first-child){border-top-left-radius:0;border-bottom-left-radius:0}.card-group>.card:not(:first-child) .card-header,.card-group>.card:not(:first-child) .card-img-top{border-top-left-radius:0}.card-group>.card:not(:first-child) .card-footer,.card-group>.card:not(:first-child) .card-img-bottom{border-bottom-left-radius:0}}.card-columns .card{margin-bottom:.75rem}@media (min-width:576px){.card-columns{-webkit-column-count:3;-moz-column-count:3;column-count:3;-webkit-column-gap:1.25rem;-moz-column-gap:1.25rem;column-gap:1.25rem;orphans:1;widows:1}.card-columns .card{display:inline-block;width:100%}}.accordion>.card{overflow:hidden}.accordion>.card:not(:first-of-type) .card-header:first-child{border-radius:0}.accordion>.card:not(:first-of-type):not(:last-of-type){border-bottom:0;border-radius:0}.accordion>.card:first-of-type{border-bottom:0;border-bottom-right-radius:0;border-bottom-left-radius:0}.accordion>.card:last-of-type{border-top-left-radius:0;border-top-right-radius:0}.accordion>.card .card-header{margin-bottom:-1px}.breadcrumb{display:-ms-flexbox;display:flex;-ms-flex-wrap:wrap;flex-wrap:wrap;padding:.75rem 1rem;margin-bottom:1rem;list-style:none;background-color:#e9ecef;border-radius:.25rem}.breadcrumb-item+.breadcrumb-item{padding-left:.5rem}.breadcrumb-item+.breadcrumb-item::before{display:inline-block;padding-right:.5rem;color:#6c757d;content:"/"}.breadcrumb-item+.breadcrumb-item:hover::before{text-decoration:underline}.breadcrumb-item+.breadcrumb-item:hover::before{text-decoration:none}.breadcrumb-item.active{color:#6c757d}.pagination{display:-ms-flexbox;display:flex;padding-left:0;list-style:none;border-radius:.25rem}.page-link{position:relative;display:block;padding:.5rem .75rem;margin-left:-1px;line-height:1.25;color:#007bff;background-color:#fff;border:1px solid #dee2e6}.page-link:hover{z-index:2;color:#0056b3;text-decoration:none;background-color:#e9ecef;border-color:#dee2e6}.page-link:focus{z-index:2;outline:0;box-shadow:0 0 0 .2rem rgba(0,123,255,.25)}.page-item:first-child .page-link{margin-left:0;border-top-left-radius:.25rem;border-bottom-left-radius:.25rem}.page-item:last-child .page-link{border-top-right-radius:.25rem;border-bottom-right-radius:.25rem}.page-item.active .page-link{z-index:1;color:#fff;background-color:#007bff;border-color:#007bff}.page-item.disabled .page-link{color:#6c757d;pointer-events:none;cursor:auto;background-color:#fff;border-color:#dee2e6}.pagination-lg .page-link{padding:.75rem 1.5rem;font-size:1.25rem;line-height:1.5}.pagination-lg .page-item:first-child .page-link{border-top-left-radius:.3rem;border-bottom-left-radius:.3rem}.pagination-lg .page-item:last-child .page-link{border-top-right-radius:.3rem;border-bottom-right-radius:.3rem}.pagination-sm .page-link{padding:.25rem .5rem;font-size:.875rem;line-height:1.5}.pagination-sm .page-item:first-child .page-link{border-top-left-radius:.2rem;border-bottom-left-radius:.2rem}.pagination-sm .page-item:last-child .page-link{border-top-right-radius:.2rem;border-bottom-right-radius:.2rem}.badge{display:inline-block;padding:.25em .4em;font-size:75%;font-weight:700;line-height:1;text-align:center;white-space:nowrap;vertical-align:baseline;border-radius:.25rem;transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out}@media (prefers-reduced-motion:reduce){.badge{transition:none}}a.badge:focus,a.badge:hover{text-decoration:none}.badge:empty{display:none}.btn .badge{position:relative;top:-1px}.badge-pill{padding-right:.6em;padding-left:.6em;border-radius:10rem}.badge-primary{color:#fff;background-color:#007bff}a.badge-primary:focus,a.badge-primary:hover{color:#fff;background-color:#0062cc}a.badge-primary.focus,a.badge-primary:focus{outline:0;box-shadow:0 0 0 .2rem rgba(0,123,255,.5)}.badge-secondary{color:#fff;background-color:#6c757d}a.badge-secondary:focus,a.badge-secondary:hover{color:#fff;background-color:#545b62}a.badge-secondary.focus,a.badge-secondary:focus{outline:0;box-shadow:0 0 0 .2rem rgba(108,117,125,.5)}.badge-success{color:#fff;background-color:#28a745}a.badge-success:focus,a.badge-success:hover{color:#fff;background-color:#1e7e34}a.badge-success.focus,a.badge-success:focus{outline:0;box-shadow:0 0 0 .2rem rgba(40,167,69,.5)}.badge-info{color:#fff;background-color:#17a2b8}a.badge-info:focus,a.badge-info:hover{color:#fff;background-color:#117a8b}a.badge-info.focus,a.badge-info:focus{outline:0;box-shadow:0 0 0 .2rem rgba(23,162,184,.5)}.badge-warning{color:#212529;background-color:#ffc107}a.badge-warning:focus,a.badge-warning:hover{color:#212529;background-color:#d39e00}a.badge-warning.focus,a.badge-warning:focus{outline:0;box-shadow:0 0 0 .2rem rgba(255,193,7,.5)}.badge-danger{color:#fff;background-color:#dc3545}a.badge-danger:focus,a.badge-danger:hover{color:#fff;background-color:#bd2130}a.badge-danger.focus,a.badge-danger:focus{outline:0;box-shadow:0 0 0 .2rem rgba(220,53,69,.5)}.badge-light{color:#212529;background-color:#f8f9fa}a.badge-light:focus,a.badge-light:hover{color:#212529;background-color:#dae0e5}a.badge-light.focus,a.badge-light:focus{outline:0;box-shadow:0 0 0 .2rem rgba(248,249,250,.5)}.badge-dark{color:#fff;background-color:#343a40}a.badge-dark:focus,a.badge-dark:hover{color:#fff;background-color:#1d2124}a.badge-dark.focus,a.badge-dark:focus{outline:0;box-shadow:0 0 0 .2rem rgba(52,58,64,.5)}.jumbotron{padding:2rem 1rem;margin-bottom:2rem;background-color:#e9ecef;border-radius:.3rem}@media (min-width:576px){.jumbotron{padding:4rem 2rem}}.jumbotron-fluid{padding-right:0;padding-left:0;border-radius:0}.alert{position:relative;padding:.75rem 1.25rem;margin-bottom:1rem;border:1px solid transparent;border-radius:.25rem}.alert-heading{color:inherit}.alert-link{font-weight:700}.alert-dismissible{padding-right:4rem}.alert-dismissible .close{position:absolute;top:0;right:0;padding:.75rem 1.25rem;color:inherit}.alert-primary{color:#004085;background-color:#cce5ff;border-color:#b8daff}.alert-primary hr{border-top-color:#9fcdff}.alert-primary .alert-link{color:#002752}.alert-secondary{color:#383d41;background-color:#e2e3e5;border-color:#d6d8db}.alert-secondary hr{border-top-color:#c8cbcf}.alert-secondary .alert-link{color:#202326}.alert-success{color:#155724;background-color:#d4edda;border-color:#c3e6cb}.alert-success hr{border-top-color:#b1dfbb}.alert-success .alert-link{color:#0b2e13}.alert-info{color:#0c5460;background-color:#d1ecf1;border-color:#bee5eb}.alert-info hr{border-top-color:#abdde5}.alert-info .alert-link{color:#062c33}.alert-warning{color:#856404;background-color:#fff3cd;border-color:#ffeeba}.alert-warning hr{border-top-color:#ffe8a1}.alert-warning .alert-link{color:#533f03}.alert-danger{color:#721c24;background-color:#f8d7da;border-color:#f5c6cb}.alert-danger hr{border-top-color:#f1b0b7}.alert-danger .alert-link{color:#491217}.alert-light{color:#818182;background-color:#fefefe;border-color:#fdfdfe}.alert-light hr{border-top-color:#ececf6}.alert-light .alert-link{color:#686868}.alert-dark{color:#1b1e21;background-color:#d6d8d9;border-color:#c6c8ca}.alert-dark hr{border-top-color:#b9bbbe}.alert-dark .alert-link{color:#040505}@-webkit-keyframes progress-bar-stripes{from{background-position:1rem 0}to{background-position:0 0}}@keyframes progress-bar-stripes{from{background-position:1rem 0}to{background-position:0 0}}.progress{display:-ms-flexbox;display:flex;height:1rem;overflow:hidden;font-size:.75rem;background-color:#e9ecef;border-radius:.25rem}.progress-bar{display:-ms-flexbox;display:flex;-ms-flex-direction:column;flex-direction:column;-ms-flex-pack:center;justify-content:center;color:#fff;text-align:center;white-space:nowrap;background-color:#007bff;transition:width .6s ease}@media (prefers-reduced-motion:reduce){.progress-bar{transition:none}}.progress-bar-striped{background-image:linear-gradient(45deg,rgba(255,255,255,.15) 25%,transparent 25%,transparent 50%,rgba(255,255,255,.15) 50%,rgba(255,255,255,.15) 75%,transparent 75%,transparent);background-size:1rem 1rem}.progress-bar-animated{-webkit-animation:progress-bar-stripes 1s linear infinite;animation:progress-bar-stripes 1s linear infinite}@media (prefers-reduced-motion:reduce){.progress-bar-animated{-webkit-animation:none;animation:none}}.media{display:-ms-flexbox;display:flex;-ms-flex-align:start;align-items:flex-start}.media-body{-ms-flex:1;flex:1}.list-group{display:-ms-flexbox;display:flex;-ms-flex-direction:column;flex-direction:column;padding-left:0;margin-bottom:0}.list-group-item-action{width:100%;color:#495057;text-align:inherit}.list-group-item-action:focus,.list-group-item-action:hover{z-index:1;color:#495057;text-decoration:none;background-color:#f8f9fa}.list-group-item-action:active{color:#212529;background-color:#e9ecef}.list-group-item{position:relative;display:block;padding:.75rem 1.25rem;margin-bottom:-1px;background-color:#fff;border:1px solid rgba(0,0,0,.125)}.list-group-item:first-child{border-top-left-radius:.25rem;border-top-right-radius:.25rem}.list-group-item:last-child{margin-bottom:0;border-bottom-right-radius:.25rem;border-bottom-left-radius:.25rem}.list-group-item.disabled,.list-group-item:disabled{color:#6c757d;pointer-events:none;background-color:#fff}.list-group-item.active{z-index:2;color:#fff;background-color:#007bff;border-color:#007bff}.list-group-horizontal{-ms-flex-direction:row;flex-direction:row}.list-group-horizontal .list-group-item{margin-right:-1px;margin-bottom:0}.list-group-horizontal .list-group-item:first-child{border-top-left-radius:.25rem;border-bottom-left-radius:.25rem;border-top-right-radius:0}.list-group-horizontal .list-group-item:last-child{margin-right:0;border-top-right-radius:.25rem;border-bottom-right-radius:.25rem;border-bottom-left-radius:0}@media (min-width:576px){.list-group-horizontal-sm{-ms-flex-direction:row;flex-direction:row}.list-group-horizontal-sm .list-group-item{margin-right:-1px;margin-bottom:0}.list-group-horizontal-sm .list-group-item:first-child{border-top-left-radius:.25rem;border-bottom-left-radius:.25rem;border-top-right-radius:0}.list-group-horizontal-sm .list-group-item:last-child{margin-right:0;border-top-right-radius:.25rem;border-bottom-right-radius:.25rem;border-bottom-left-radius:0}}@media (min-width:768px){.list-group-horizontal-md{-ms-flex-direction:row;flex-direction:row}.list-group-horizontal-md .list-group-item{margin-right:-1px;margin-bottom:0}.list-group-horizontal-md .list-group-item:first-child{border-top-left-radius:.25rem;border-bottom-left-radius:.25rem;border-top-right-radius:0}.list-group-horizontal-md .list-group-item:last-child{margin-right:0;border-top-right-radius:.25rem;border-bottom-right-radius:.25rem;border-bottom-left-radius:0}}@media (min-width:992px){.list-group-horizontal-lg{-ms-flex-direction:row;flex-direction:row}.list-group-horizontal-lg .list-group-item{margin-right:-1px;margin-bottom:0}.list-group-horizontal-lg .list-group-item:first-child{border-top-left-radius:.25rem;border-bottom-left-radius:.25rem;border-top-right-radius:0}.list-group-horizontal-lg .list-group-item:last-child{margin-right:0;border-top-right-radius:.25rem;border-bottom-right-radius:.25rem;border-bottom-left-radius:0}}@media (min-width:1200px){.list-group-horizontal-xl{-ms-flex-direction:row;flex-direction:row}.list-group-horizontal-xl .list-group-item{margin-right:-1px;margin-bottom:0}.list-group-horizontal-xl .list-group-item:first-child{border-top-left-radius:.25rem;border-bottom-left-radius:.25rem;border-top-right-radius:0}.list-group-horizontal-xl .list-group-item:last-child{margin-right:0;border-top-right-radius:.25rem;border-bottom-right-radius:.25rem;border-bottom-left-radius:0}}.list-group-flush .list-group-item{border-right:0;border-left:0;border-radius:0}.list-group-flush .list-group-item:last-child{margin-bottom:-1px}.list-group-flush:first-child .list-group-item:first-child{border-top:0}.list-group-flush:last-child .list-group-item:last-child{margin-bottom:0;border-bottom:0}.list-group-item-primary{color:#004085;background-color:#b8daff}.list-group-item-primary.list-group-item-action:focus,.list-group-item-primary.list-group-item-action:hover{color:#004085;background-color:#9fcdff}.list-group-item-primary.list-group-item-action.active{color:#fff;background-color:#004085;border-color:#004085}.list-group-item-secondary{color:#383d41;background-color:#d6d8db}.list-group-item-secondary.list-group-item-action:focus,.list-group-item-secondary.list-group-item-action:hover{color:#383d41;background-color:#c8cbcf}.list-group-item-secondary.list-group-item-action.active{color:#fff;background-color:#383d41;border-color:#383d41}.list-group-item-success{color:#155724;background-color:#c3e6cb}.list-group-item-success.list-group-item-action:focus,.list-group-item-success.list-group-item-action:hover{color:#155724;background-color:#b1dfbb}.list-group-item-success.list-group-item-action.active{color:#fff;background-color:#155724;border-color:#155724}.list-group-item-info{color:#0c5460;background-color:#bee5eb}.list-group-item-info.list-group-item-action:focus,.list-group-item-info.list-group-item-action:hover{color:#0c5460;background-color:#abdde5}.list-group-item-info.list-group-item-action.active{color:#fff;background-color:#0c5460;border-color:#0c5460}.list-group-item-warning{color:#856404;background-color:#ffeeba}.list-group-item-warning.list-group-item-action:focus,.list-group-item-warning.list-group-item-action:hover{color:#856404;background-color:#ffe8a1}.list-group-item-warning.list-group-item-action.active{color:#fff;background-color:#856404;border-color:#856404}.list-group-item-danger{color:#721c24;background-color:#f5c6cb}.list-group-item-danger.list-group-item-action:focus,.list-group-item-danger.list-group-item-action:hover{color:#721c24;background-color:#f1b0b7}.list-group-item-danger.list-group-item-action.active{color:#fff;background-color:#721c24;border-color:#721c24}.list-group-item-light{color:#818182;background-color:#fdfdfe}.list-group-item-light.list-group-item-action:focus,.list-group-item-light.list-group-item-action:hover{color:#818182;background-color:#ececf6}.list-group-item-light.list-group-item-action.active{color:#fff;background-color:#818182;border-color:#818182}.list-group-item-dark{color:#1b1e21;background-color:#c6c8ca}.list-group-item-dark.list-group-item-action:focus,.list-group-item-dark.list-group-item-action:hover{color:#1b1e21;background-color:#b9bbbe}.list-group-item-dark.list-group-item-action.active{color:#fff;background-color:#1b1e21;border-color:#1b1e21}.close{float:right;font-size:1.5rem;font-weight:700;line-height:1;color:#000;text-shadow:0 1px 0 #fff;opacity:.5}.close:hover{color:#000;text-decoration:none}.close:not(:disabled):not(.disabled):focus,.close:not(:disabled):not(.disabled):hover{opacity:.75}button.close{padding:0;background-color:transparent;border:0;-webkit-appearance:none;-moz-appearance:none;appearance:none}a.close.disabled{pointer-events:none}.toast{max-width:350px;overflow:hidden;font-size:.875rem;background-color:rgba(255,255,255,.85);background-clip:padding-box;border:1px solid rgba(0,0,0,.1);box-shadow:0 .25rem .75rem rgba(0,0,0,.1);-webkit-backdrop-filter:blur(10px);backdrop-filter:blur(10px);opacity:0;border-radius:.25rem}.toast:not(:last-child){margin-bottom:.75rem}.toast.showing{opacity:1}.toast.show{display:block;opacity:1}.toast.hide{display:none}.toast-header{display:-ms-flexbox;display:flex;-ms-flex-align:center;align-items:center;padding:.25rem .75rem;color:#6c757d;background-color:rgba(255,255,255,.85);background-clip:padding-box;border-bottom:1px solid rgba(0,0,0,.05)}.toast-body{padding:.75rem}.modal-open{overflow:hidden}.modal-open .modal{overflow-x:hidden;overflow-y:auto}.modal{position:fixed;top:0;left:0;z-index:1050;display:none;width:100%;height:100%;overflow:hidden;outline:0}.modal-dialog{position:relative;width:auto;margin:.5rem;pointer-events:none}.modal.fade .modal-dialog{transition:-webkit-transform .3s ease-out;transition:transform .3s ease-out;transition:transform .3s ease-out,-webkit-transform .3s ease-out;-webkit-transform:translate(0,-50px);transform:translate(0,-50px)}@media (prefers-reduced-motion:reduce){.modal.fade .modal-dialog{transition:none}}.modal.show .modal-dialog{-webkit-transform:none;transform:none}.modal-dialog-scrollable{display:-ms-flexbox;display:flex;max-height:calc(100% - 1rem)}.modal-dialog-scrollable .modal-content{max-height:calc(100vh - 1rem);overflow:hidden}.modal-dialog-scrollable .modal-footer,.modal-dialog-scrollable .modal-header{-ms-flex-negative:0;flex-shrink:0}.modal-dialog-scrollable .modal-body{overflow-y:auto}.modal-dialog-centered{display:-ms-flexbox;display:flex;-ms-flex-align:center;align-items:center;min-height:calc(100% - 1rem)}.modal-dialog-centered::before{display:block;height:calc(100vh - 1rem);content:""}.modal-dialog-centered.modal-dialog-scrollable{-ms-flex-direction:column;flex-direction:column;-ms-flex-pack:center;justify-content:center;height:100%}.modal-dialog-centered.modal-dialog-scrollable .modal-content{max-height:none}.modal-dialog-centered.modal-dialog-scrollable::before{content:none}.modal-content{position:relative;display:-ms-flexbox;display:flex;-ms-flex-direction:column;flex-direction:column;width:100%;pointer-events:auto;background-color:#fff;background-clip:padding-box;border:1px solid rgba(0,0,0,.2);border-radius:.3rem;outline:0}.modal-backdrop{position:fixed;top:0;left:0;z-index:1040;width:100vw;height:100vh;background-color:#000}.modal-backdrop.fade{opacity:0}.modal-backdrop.show{opacity:.5}.modal-header{display:-ms-flexbox;display:flex;-ms-flex-align:start;align-items:flex-start;-ms-flex-pack:justify;justify-content:space-between;padding:1rem 1rem;border-bottom:1px solid #dee2e6;border-top-left-radius:.3rem;border-top-right-radius:.3rem}.modal-header .close{padding:1rem 1rem;margin:-1rem -1rem -1rem auto}.modal-title{margin-bottom:0;line-height:1.5}.modal-body{position:relative;-ms-flex:1 1 auto;flex:1 1 auto;padding:1rem}.modal-footer{display:-ms-flexbox;display:flex;-ms-flex-align:center;align-items:center;-ms-flex-pack:end;justify-content:flex-end;padding:1rem;border-top:1px solid #dee2e6;border-bottom-right-radius:.3rem;border-bottom-left-radius:.3rem}.modal-footer>:not(:first-child){margin-left:.25rem}.modal-footer>:not(:last-child){margin-right:.25rem}.modal-scrollbar-measure{position:absolute;top:-9999px;width:50px;height:50px;overflow:scroll}@media (min-width:576px){.modal-dialog{max-width:500px;margin:1.75rem auto}.modal-dialog-scrollable{max-height:calc(100% - 3.5rem)}.modal-dialog-scrollable .modal-content{max-height:calc(100vh - 3.5rem)}.modal-dialog-centered{min-height:calc(100% - 3.5rem)}.modal-dialog-centered::before{height:calc(100vh - 3.5rem)}.modal-sm{max-width:300px}}@media (min-width:992px){.modal-lg,.modal-xl{max-width:800px}}@media (min-width:1200px){.modal-xl{max-width:1140px}}.tooltip{position:absolute;z-index:1070;display:block;margin:0;font-family:-apple-system,BlinkMacSystemFont,"Segoe UI",Roboto,"Helvetica Neue",Arial,"Noto Sans",sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol","Noto Color Emoji";font-style:normal;font-weight:400;line-height:1.5;text-align:left;text-align:start;text-decoration:none;text-shadow:none;text-transform:none;letter-spacing:normal;word-break:normal;word-spacing:normal;white-space:normal;line-break:auto;font-size:.875rem;word-wrap:break-word;opacity:0}.tooltip.show{opacity:.9}.tooltip .arrow{position:absolute;display:block;width:.8rem;height:.4rem}.tooltip .arrow::before{position:absolute;content:"";border-color:transparent;border-style:solid}.bs-tooltip-auto[x-placement^=top],.bs-tooltip-top{padding:.4rem 0}.bs-tooltip-auto[x-placement^=top] .arrow,.bs-tooltip-top .arrow{bottom:0}.bs-tooltip-auto[x-placement^=top] .arrow::before,.bs-tooltip-top .arrow::before{top:0;border-width:.4rem .4rem 0;border-top-color:#000}.bs-tooltip-auto[x-placement^=right],.bs-tooltip-right{padding:0 .4rem}.bs-tooltip-auto[x-placement^=right] .arrow,.bs-tooltip-right .arrow{left:0;width:.4rem;height:.8rem}.bs-tooltip-auto[x-placement^=right] .arrow::before,.bs-tooltip-right .arrow::before{right:0;border-width:.4rem .4rem .4rem 0;border-right-color:#000}.bs-tooltip-auto[x-placement^=bottom],.bs-tooltip-bottom{padding:.4rem 0}.bs-tooltip-auto[x-placement^=bottom] .arrow,.bs-tooltip-bottom .arrow{top:0}.bs-tooltip-auto[x-placement^=bottom] .arrow::before,.bs-tooltip-bottom .arrow::before{bottom:0;border-width:0 .4rem .4rem;border-bottom-color:#000}.bs-tooltip-auto[x-placement^=left],.bs-tooltip-left{padding:0 .4rem}.bs-tooltip-auto[x-placement^=left] .arrow,.bs-tooltip-left .arrow{right:0;width:.4rem;height:.8rem}.bs-tooltip-auto[x-placement^=left] .arrow::before,.bs-tooltip-left .arrow::before{left:0;border-width:.4rem 0 .4rem .4rem;border-left-color:#000}.tooltip-inner{max-width:200px;padding:.25rem .5rem;color:#fff;text-align:center;background-color:#000;border-radius:.25rem}.popover{position:absolute;top:0;left:0;z-index:1060;display:block;max-width:276px;font-family:-apple-system,BlinkMacSystemFont,"Segoe UI",Roboto,"Helvetica Neue",Arial,"Noto Sans",sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol","Noto Color Emoji";font-style:normal;font-weight:400;line-height:1.5;text-align:left;text-align:start;text-decoration:none;text-shadow:none;text-transform:none;letter-spacing:normal;word-break:normal;word-spacing:normal;white-space:normal;line-break:auto;font-size:.875rem;word-wrap:break-word;background-color:#fff;background-clip:padding-box;border:1px solid rgba(0,0,0,.2);border-radius:.3rem}.popover .arrow{position:absolute;display:block;width:1rem;height:.5rem;margin:0 .3rem}.popover .arrow::after,.popover .arrow::before{position:absolute;display:block;content:"";border-color:transparent;border-style:solid}.bs-popover-auto[x-placement^=top],.bs-popover-top{margin-bottom:.5rem}.bs-popover-auto[x-placement^=top]>.arrow,.bs-popover-top>.arrow{bottom:calc((.5rem + 1px) * -1)}.bs-popover-auto[x-placement^=top]>.arrow::before,.bs-popover-top>.arrow::before{bottom:0;border-width:.5rem .5rem 0;border-top-color:rgba(0,0,0,.25)}.bs-popover-auto[x-placement^=top]>.arrow::after,.bs-popover-top>.arrow::after{bottom:1px;border-width:.5rem .5rem 0;border-top-color:#fff}.bs-popover-auto[x-placement^=right],.bs-popover-right{margin-left:.5rem}.bs-popover-auto[x-placement^=right]>.arrow,.bs-popover-right>.arrow{left:calc((.5rem + 1px) * -1);width:.5rem;height:1rem;margin:.3rem 0}.bs-popover-auto[x-placement^=right]>.arrow::before,.bs-popover-right>.arrow::before{left:0;border-width:.5rem .5rem .5rem 0;border-right-color:rgba(0,0,0,.25)}.bs-popover-auto[x-placement^=right]>.arrow::after,.bs-popover-right>.arrow::after{left:1px;border-width:.5rem .5rem .5rem 0;border-right-color:#fff}.bs-popover-auto[x-placement^=bottom],.bs-popover-bottom{margin-top:.5rem}.bs-popover-auto[x-placement^=bottom]>.arrow,.bs-popover-bottom>.arrow{top:calc((.5rem + 1px) * -1)}.bs-popover-auto[x-placement^=bottom]>.arrow::before,.bs-popover-bottom>.arrow::before{top:0;border-width:0 .5rem .5rem .5rem;border-bottom-color:rgba(0,0,0,.25)}.bs-popover-auto[x-placement^=bottom]>.arrow::after,.bs-popover-bottom>.arrow::after{top:1px;border-width:0 .5rem .5rem .5rem;border-bottom-color:#fff}.bs-popover-auto[x-placement^=bottom] .popover-header::before,.bs-popover-bottom .popover-header::before{position:absolute;top:0;left:50%;display:block;width:1rem;margin-left:-.5rem;content:"";border-bottom:1px solid #f7f7f7}.bs-popover-auto[x-placement^=left],.bs-popover-left{margin-right:.5rem}.bs-popover-auto[x-placement^=left]>.arrow,.bs-popover-left>.arrow{right:calc((.5rem + 1px) * -1);width:.5rem;height:1rem;margin:.3rem 0}.bs-popover-auto[x-placement^=left]>.arrow::before,.bs-popover-left>.arrow::before{right:0;border-width:.5rem 0 .5rem .5rem;border-left-color:rgba(0,0,0,.25)}.bs-popover-auto[x-placement^=left]>.arrow::after,.bs-popover-left>.arrow::after{right:1px;border-width:.5rem 0 .5rem .5rem;border-left-color:#fff}.popover-header{padding:.5rem .75rem;margin-bottom:0;font-size:1rem;background-color:#f7f7f7;border-bottom:1px solid #ebebeb;border-top-left-radius:calc(.3rem - 1px);border-top-right-radius:calc(.3rem - 1px)}.popover-header:empty{display:none}.popover-body{padding:.5rem .75rem;color:#212529}.carousel{position:relative}.carousel.pointer-event{-ms-touch-action:pan-y;touch-action:pan-y}.carousel-inner{position:relative;width:100%;overflow:hidden}.carousel-inner::after{display:block;clear:both;content:""}.carousel-item{position:relative;display:none;float:left;width:100%;margin-right:-100%;-webkit-backface-visibility:hidden;backface-visibility:hidden;transition:-webkit-transform .6s ease-in-out;transition:transform .6s ease-in-out;transition:transform .6s ease-in-out,-webkit-transform .6s ease-in-out}@media (prefers-reduced-motion:reduce){.carousel-item{transition:none}}.carousel-item-next,.carousel-item-prev,.carousel-item.active{display:block}.active.carousel-item-right,.carousel-item-next:not(.carousel-item-left){-webkit-transform:translateX(100%);transform:translateX(100%)}.active.carousel-item-left,.carousel-item-prev:not(.carousel-item-right){-webkit-transform:translateX(-100%);transform:translateX(-100%)}.carousel-fade .carousel-item{opacity:0;transition-property:opacity;-webkit-transform:none;transform:none}.carousel-fade .carousel-item-next.carousel-item-left,.carousel-fade .carousel-item-prev.carousel-item-right,.carousel-fade .carousel-item.active{z-index:1;opacity:1}.carousel-fade .active.carousel-item-left,.carousel-fade .active.carousel-item-right{z-index:0;opacity:0;transition:0s .6s opacity}@media (prefers-reduced-motion:reduce){.carousel-fade .active.carousel-item-left,.carousel-fade .active.carousel-item-right{transition:none}}.carousel-control-next,.carousel-control-prev{position:absolute;top:0;bottom:0;z-index:1;display:-ms-flexbox;display:flex;-ms-flex-align:center;align-items:center;-ms-flex-pack:center;justify-content:center;width:15%;color:#fff;text-align:center;opacity:.5;transition:opacity .15s ease}@media (prefers-reduced-motion:reduce){.carousel-control-next,.carousel-control-prev{transition:none}}.carousel-control-next:focus,.carousel-control-next:hover,.carousel-control-prev:focus,.carousel-control-prev:hover{color:#fff;text-decoration:none;outline:0;opacity:.9}.carousel-control-prev{left:0}.carousel-control-next{right:0}.carousel-control-next-icon,.carousel-control-prev-icon{display:inline-block;width:20px;height:20px;background:no-repeat 50%/100% 100%}.carousel-control-prev-icon{background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' fill='%23fff' viewBox='0 0 8 8'%3e%3cpath d='M5.25 0l-4 4 4 4 1.5-1.5-2.5-2.5 2.5-2.5-1.5-1.5z'/%3e%3c/svg%3e")}.carousel-control-next-icon{background-image:url("data:image/svg+xml,%3csvg xmlns='http://www.w3.org/2000/svg' fill='%23fff' viewBox='0 0 8 8'%3e%3cpath d='M2.75 0l-1.5 1.5 2.5 2.5-2.5 2.5 1.5 1.5 4-4-4-4z'/%3e%3c/svg%3e")}.carousel-indicators{position:absolute;right:0;bottom:0;left:0;z-index:15;display:-ms-flexbox;display:flex;-ms-flex-pack:center;justify-content:center;padding-left:0;margin-right:15%;margin-left:15%;list-style:none}.carousel-indicators li{box-sizing:content-box;-ms-flex:0 1 auto;flex:0 1 auto;width:30px;height:3px;margin-right:3px;margin-left:3px;text-indent:-999px;cursor:pointer;background-color:#fff;background-clip:padding-box;border-top:10px solid transparent;border-bottom:10px solid transparent;opacity:.5;transition:opacity .6s ease}@media (prefers-reduced-motion:reduce){.carousel-indicators li{transition:none}}.carousel-indicators .active{opacity:1}.carousel-caption{position:absolute;right:15%;bottom:20px;left:15%;z-index:10;padding-top:20px;padding-bottom:20px;color:#fff;text-align:center}@-webkit-keyframes spinner-border{to{-webkit-transform:rotate(360deg);transform:rotate(360deg)}}@keyframes spinner-border{to{-webkit-transform:rotate(360deg);transform:rotate(360deg)}}.spinner-border{display:inline-block;width:2rem;height:2rem;vertical-align:text-bottom;border:.25em solid currentColor;border-right-color:transparent;border-radius:50%;-webkit-animation:spinner-border .75s linear infinite;animation:spinner-border .75s linear infinite}.spinner-border-sm{width:1rem;height:1rem;border-width:.2em}@-webkit-keyframes spinner-grow{0%{-webkit-transform:scale(0);transform:scale(0)}50%{opacity:1}}@keyframes spinner-grow{0%{-webkit-transform:scale(0);transform:scale(0)}50%{opacity:1}}.spinner-grow{display:inline-block;width:2rem;height:2rem;vertical-align:text-bottom;background-color:currentColor;border-radius:50%;opacity:0;-webkit-animation:spinner-grow .75s linear infinite;animation:spinner-grow .75s linear infinite}.spinner-grow-sm{width:1rem;height:1rem}.align-baseline{vertical-align:baseline!important}.align-top{vertical-align:top!important}.align-middle{vertical-align:middle!important}.align-bottom{vertical-align:bottom!important}.align-text-bottom{vertical-align:text-bottom!important}.align-text-top{vertical-align:text-top!important}.bg-primary{background-color:#007bff!important}a.bg-primary:focus,a.bg-primary:hover,button.bg-primary:focus,button.bg-primary:hover{background-color:#0062cc!important}.bg-secondary{background-color:#6c757d!important}a.bg-secondary:focus,a.bg-secondary:hover,button.bg-secondary:focus,button.bg-secondary:hover{background-color:#545b62!important}.bg-success{background-color:#28a745!important}a.bg-success:focus,a.bg-success:hover,button.bg-success:focus,button.bg-success:hover{background-color:#1e7e34!important}.bg-info{background-color:#17a2b8!important}a.bg-info:focus,a.bg-info:hover,button.bg-info:focus,button.bg-info:hover{background-color:#117a8b!important}.bg-warning{background-color:#ffc107!important}a.bg-warning:focus,a.bg-warning:hover,button.bg-warning:focus,button.bg-warning:hover{background-color:#d39e00!important}.bg-danger{background-color:#dc3545!important}a.bg-danger:focus,a.bg-danger:hover,button.bg-danger:focus,button.bg-danger:hover{background-color:#bd2130!important}.bg-light{background-color:#f8f9fa!important}a.bg-light:focus,a.bg-light:hover,button.bg-light:focus,button.bg-light:hover{background-color:#dae0e5!important}.bg-dark{background-color:#343a40!important}a.bg-dark:focus,a.bg-dark:hover,button.bg-dark:focus,button.bg-dark:hover{background-color:#1d2124!important}.bg-white{background-color:#fff!important}.bg-transparent{background-color:transparent!important}.border{border:1px solid #dee2e6!important}.border-top{border-top:1px solid #dee2e6!important}.border-right{border-right:1px solid #dee2e6!important}.border-bottom{border-bottom:1px solid #dee2e6!important}.border-left{border-left:1px solid #dee2e6!important}.border-0{border:0!important}.border-top-0{border-top:0!important}.border-right-0{border-right:0!important}.border-bottom-0{border-bottom:0!important}.border-left-0{border-left:0!important}.border-primary{border-color:#007bff!important}.border-secondary{border-color:#6c757d!important}.border-success{border-color:#28a745!important}.border-info{border-color:#17a2b8!important}.border-warning{border-color:#ffc107!important}.border-danger{border-color:#dc3545!important}.border-light{border-color:#f8f9fa!important}.border-dark{border-color:#343a40!important}.border-white{border-color:#fff!important}.rounded-sm{border-radius:.2rem!important}.rounded{border-radius:.25rem!important}.rounded-top{border-top-left-radius:.25rem!important;border-top-right-radius:.25rem!important}.rounded-right{border-top-right-radius:.25rem!important;border-bottom-right-radius:.25rem!important}.rounded-bottom{border-bottom-right-radius:.25rem!important;border-bottom-left-radius:.25rem!important}.rounded-left{border-top-left-radius:.25rem!important;border-bottom-left-radius:.25rem!important}.rounded-lg{border-radius:.3rem!important}.rounded-circle{border-radius:50%!important}.rounded-pill{border-radius:50rem!important}.rounded-0{border-radius:0!important}.clearfix::after{display:block;clear:both;content:""}.d-none{display:none!important}.d-inline{display:inline!important}.d-inline-block{display:inline-block!important}.d-block{display:block!important}.d-table{display:table!important}.d-table-row{display:table-row!important}.d-table-cell{display:table-cell!important}.d-flex{display:-ms-flexbox!important;display:flex!important}.d-inline-flex{display:-ms-inline-flexbox!important;display:inline-flex!important}@media (min-width:576px){.d-sm-none{display:none!important}.d-sm-inline{display:inline!important}.d-sm-inline-block{display:inline-block!important}.d-sm-block{display:block!important}.d-sm-table{display:table!important}.d-sm-table-row{display:table-row!important}.d-sm-table-cell{display:table-cell!important}.d-sm-flex{display:-ms-flexbox!important;display:flex!important}.d-sm-inline-flex{display:-ms-inline-flexbox!important;display:inline-flex!important}}@media (min-width:768px){.d-md-none{display:none!important}.d-md-inline{display:inline!important}.d-md-inline-block{display:inline-block!important}.d-md-block{display:block!important}.d-md-table{display:table!important}.d-md-table-row{display:table-row!important}.d-md-table-cell{display:table-cell!important}.d-md-flex{display:-ms-flexbox!important;display:flex!important}.d-md-inline-flex{display:-ms-inline-flexbox!important;display:inline-flex!important}}@media (min-width:992px){.d-lg-none{display:none!important}.d-lg-inline{display:inline!important}.d-lg-inline-block{display:inline-block!important}.d-lg-block{display:block!important}.d-lg-table{display:table!important}.d-lg-table-row{display:table-row!important}.d-lg-table-cell{display:table-cell!important}.d-lg-flex{display:-ms-flexbox!important;display:flex!important}.d-lg-inline-flex{display:-ms-inline-flexbox!important;display:inline-flex!important}}@media (min-width:1200px){.d-xl-none{display:none!important}.d-xl-inline{display:inline!important}.d-xl-inline-block{display:inline-block!important}.d-xl-block{display:block!important}.d-xl-table{display:table!important}.d-xl-table-row{display:table-row!important}.d-xl-table-cell{display:table-cell!important}.d-xl-flex{display:-ms-flexbox!important;display:flex!important}.d-xl-inline-flex{display:-ms-inline-flexbox!important;display:inline-flex!important}}@media print{.d-print-none{display:none!important}.d-print-inline{display:inline!important}.d-print-inline-block{display:inline-block!important}.d-print-block{display:block!important}.d-print-table{display:table!important}.d-print-table-row{display:table-row!important}.d-print-table-cell{display:table-cell!important}.d-print-flex{display:-ms-flexbox!important;display:flex!important}.d-print-inline-flex{display:-ms-inline-flexbox!important;display:inline-flex!important}}.embed-responsive{position:relative;display:block;width:100%;padding:0;overflow:hidden}.embed-responsive::before{display:block;content:""}.embed-responsive .embed-responsive-item,.embed-responsive embed,.embed-responsive iframe,.embed-responsive object,.embed-responsive video{position:absolute;top:0;bottom:0;left:0;width:100%;height:100%;border:0}.embed-responsive-21by9::before{padding-top:42.857143%}.embed-responsive-16by9::before{padding-top:56.25%}.embed-responsive-4by3::before{padding-top:75%}.embed-responsive-1by1::before{padding-top:100%}.flex-row{-ms-flex-direction:row!important;flex-direction:row!important}.flex-column{-ms-flex-direction:column!important;flex-direction:column!important}.flex-row-reverse{-ms-flex-direction:row-reverse!important;flex-direction:row-reverse!important}.flex-column-reverse{-ms-flex-direction:column-reverse!important;flex-direction:column-reverse!important}.flex-wrap{-ms-flex-wrap:wrap!important;flex-wrap:wrap!important}.flex-nowrap{-ms-flex-wrap:nowrap!important;flex-wrap:nowrap!important}.flex-wrap-reverse{-ms-flex-wrap:wrap-reverse!important;flex-wrap:wrap-reverse!important}.flex-fill{-ms-flex:1 1 auto!important;flex:1 1 auto!important}.flex-grow-0{-ms-flex-positive:0!important;flex-grow:0!important}.flex-grow-1{-ms-flex-positive:1!important;flex-grow:1!important}.flex-shrink-0{-ms-flex-negative:0!important;flex-shrink:0!important}.flex-shrink-1{-ms-flex-negative:1!important;flex-shrink:1!important}.justify-content-start{-ms-flex-pack:start!important;justify-content:flex-start!important}.justify-content-end{-ms-flex-pack:end!important;justify-content:flex-end!important}.justify-content-center{-ms-flex-pack:center!important;justify-content:center!important}.justify-content-between{-ms-flex-pack:justify!important;justify-content:space-between!important}.justify-content-around{-ms-flex-pack:distribute!important;justify-content:space-around!important}.align-items-start{-ms-flex-align:start!important;align-items:flex-start!important}.align-items-end{-ms-flex-align:end!important;align-items:flex-end!important}.align-items-center{-ms-flex-align:center!important;align-items:center!important}.align-items-baseline{-ms-flex-align:baseline!important;align-items:baseline!important}.align-items-stretch{-ms-flex-align:stretch!important;align-items:stretch!important}.align-content-start{-ms-flex-line-pack:start!important;align-content:flex-start!important}.align-content-end{-ms-flex-line-pack:end!important;align-content:flex-end!important}.align-content-center{-ms-flex-line-pack:center!important;align-content:center!important}.align-content-between{-ms-flex-line-pack:justify!important;align-content:space-between!important}.align-content-around{-ms-flex-line-pack:distribute!important;align-content:space-around!important}.align-content-stretch{-ms-flex-line-pack:stretch!important;align-content:stretch!important}.align-self-auto{-ms-flex-item-align:auto!important;align-self:auto!important}.align-self-start{-ms-flex-item-align:start!important;align-self:flex-start!important}.align-self-end{-ms-flex-item-align:end!important;align-self:flex-end!important}.align-self-center{-ms-flex-item-align:center!important;align-self:center!important}.align-self-baseline{-ms-flex-item-align:baseline!important;align-self:baseline!important}.align-self-stretch{-ms-flex-item-align:stretch!important;align-self:stretch!important}@media (min-width:576px){.flex-sm-row{-ms-flex-direction:row!important;flex-direction:row!important}.flex-sm-column{-ms-flex-direction:column!important;flex-direction:column!important}.flex-sm-row-reverse{-ms-flex-direction:row-reverse!important;flex-direction:row-reverse!important}.flex-sm-column-reverse{-ms-flex-direction:column-reverse!important;flex-direction:column-reverse!important}.flex-sm-wrap{-ms-flex-wrap:wrap!important;flex-wrap:wrap!important}.flex-sm-nowrap{-ms-flex-wrap:nowrap!important;flex-wrap:nowrap!important}.flex-sm-wrap-reverse{-ms-flex-wrap:wrap-reverse!important;flex-wrap:wrap-reverse!important}.flex-sm-fill{-ms-flex:1 1 auto!important;flex:1 1 auto!important}.flex-sm-grow-0{-ms-flex-positive:0!important;flex-grow:0!important}.flex-sm-grow-1{-ms-flex-positive:1!important;flex-grow:1!important}.flex-sm-shrink-0{-ms-flex-negative:0!important;flex-shrink:0!important}.flex-sm-shrink-1{-ms-flex-negative:1!important;flex-shrink:1!important}.justify-content-sm-start{-ms-flex-pack:start!important;justify-content:flex-start!important}.justify-content-sm-end{-ms-flex-pack:end!important;justify-content:flex-end!important}.justify-content-sm-center{-ms-flex-pack:center!important;justify-content:center!important}.justify-content-sm-between{-ms-flex-pack:justify!important;justify-content:space-between!important}.justify-content-sm-around{-ms-flex-pack:distribute!important;justify-content:space-around!important}.align-items-sm-start{-ms-flex-align:start!important;align-items:flex-start!important}.align-items-sm-end{-ms-flex-align:end!important;align-items:flex-end!important}.align-items-sm-center{-ms-flex-align:center!important;align-items:center!important}.align-items-sm-baseline{-ms-flex-align:baseline!important;align-items:baseline!important}.align-items-sm-stretch{-ms-flex-align:stretch!important;align-items:stretch!important}.align-content-sm-start{-ms-flex-line-pack:start!important;align-content:flex-start!important}.align-content-sm-end{-ms-flex-line-pack:end!important;align-content:flex-end!important}.align-content-sm-center{-ms-flex-line-pack:center!important;align-content:center!important}.align-content-sm-between{-ms-flex-line-pack:justify!important;align-content:space-between!important}.align-content-sm-around{-ms-flex-line-pack:distribute!important;align-content:space-around!important}.align-content-sm-stretch{-ms-flex-line-pack:stretch!important;align-content:stretch!important}.align-self-sm-auto{-ms-flex-item-align:auto!important;align-self:auto!important}.align-self-sm-start{-ms-flex-item-align:start!important;align-self:flex-start!important}.align-self-sm-end{-ms-flex-item-align:end!important;align-self:flex-end!important}.align-self-sm-center{-ms-flex-item-align:center!important;align-self:center!important}.align-self-sm-baseline{-ms-flex-item-align:baseline!important;align-self:baseline!important}.align-self-sm-stretch{-ms-flex-item-align:stretch!important;align-self:stretch!important}}@media (min-width:768px){.flex-md-row{-ms-flex-direction:row!important;flex-direction:row!important}.flex-md-column{-ms-flex-direction:column!important;flex-direction:column!important}.flex-md-row-reverse{-ms-flex-direction:row-reverse!important;flex-direction:row-reverse!important}.flex-md-column-reverse{-ms-flex-direction:column-reverse!important;flex-direction:column-reverse!important}.flex-md-wrap{-ms-flex-wrap:wrap!important;flex-wrap:wrap!important}.flex-md-nowrap{-ms-flex-wrap:nowrap!important;flex-wrap:nowrap!important}.flex-md-wrap-reverse{-ms-flex-wrap:wrap-reverse!important;flex-wrap:wrap-reverse!important}.flex-md-fill{-ms-flex:1 1 auto!important;flex:1 1 auto!important}.flex-md-grow-0{-ms-flex-positive:0!important;flex-grow:0!important}.flex-md-grow-1{-ms-flex-positive:1!important;flex-grow:1!important}.flex-md-shrink-0{-ms-flex-negative:0!important;flex-shrink:0!important}.flex-md-shrink-1{-ms-flex-negative:1!important;flex-shrink:1!important}.justify-content-md-start{-ms-flex-pack:start!important;justify-content:flex-start!important}.justify-content-md-end{-ms-flex-pack:end!important;justify-content:flex-end!important}.justify-content-md-center{-ms-flex-pack:center!important;justify-content:center!important}.justify-content-md-between{-ms-flex-pack:justify!important;justify-content:space-between!important}.justify-content-md-around{-ms-flex-pack:distribute!important;justify-content:space-around!important}.align-items-md-start{-ms-flex-align:start!important;align-items:flex-start!important}.align-items-md-end{-ms-flex-align:end!important;align-items:flex-end!important}.align-items-md-center{-ms-flex-align:center!important;align-items:center!important}.align-items-md-baseline{-ms-flex-align:baseline!important;align-items:baseline!important}.align-items-md-stretch{-ms-flex-align:stretch!important;align-items:stretch!important}.align-content-md-start{-ms-flex-line-pack:start!important;align-content:flex-start!important}.align-content-md-end{-ms-flex-line-pack:end!important;align-content:flex-end!important}.align-content-md-center{-ms-flex-line-pack:center!important;align-content:center!important}.align-content-md-between{-ms-flex-line-pack:justify!important;align-content:space-between!important}.align-content-md-around{-ms-flex-line-pack:distribute!important;align-content:space-around!important}.align-content-md-stretch{-ms-flex-line-pack:stretch!important;align-content:stretch!important}.align-self-md-auto{-ms-flex-item-align:auto!important;align-self:auto!important}.align-self-md-start{-ms-flex-item-align:start!important;align-self:flex-start!important}.align-self-md-end{-ms-flex-item-align:end!important;align-self:flex-end!important}.align-self-md-center{-ms-flex-item-align:center!important;align-self:center!important}.align-self-md-baseline{-ms-flex-item-align:baseline!important;align-self:baseline!important}.align-self-md-stretch{-ms-flex-item-align:stretch!important;align-self:stretch!important}}@media (min-width:992px){.flex-lg-row{-ms-flex-direction:row!important;flex-direction:row!important}.flex-lg-column{-ms-flex-direction:column!important;flex-direction:column!important}.flex-lg-row-reverse{-ms-flex-direction:row-reverse!important;flex-direction:row-reverse!important}.flex-lg-column-reverse{-ms-flex-direction:column-reverse!important;flex-direction:column-reverse!important}.flex-lg-wrap{-ms-flex-wrap:wrap!important;flex-wrap:wrap!important}.flex-lg-nowrap{-ms-flex-wrap:nowrap!important;flex-wrap:nowrap!important}.flex-lg-wrap-reverse{-ms-flex-wrap:wrap-reverse!important;flex-wrap:wrap-reverse!important}.flex-lg-fill{-ms-flex:1 1 auto!important;flex:1 1 auto!important}.flex-lg-grow-0{-ms-flex-positive:0!important;flex-grow:0!important}.flex-lg-grow-1{-ms-flex-positive:1!important;flex-grow:1!important}.flex-lg-shrink-0{-ms-flex-negative:0!important;flex-shrink:0!important}.flex-lg-shrink-1{-ms-flex-negative:1!important;flex-shrink:1!important}.justify-content-lg-start{-ms-flex-pack:start!important;justify-content:flex-start!important}.justify-content-lg-end{-ms-flex-pack:end!important;justify-content:flex-end!important}.justify-content-lg-center{-ms-flex-pack:center!important;justify-content:center!important}.justify-content-lg-between{-ms-flex-pack:justify!important;justify-content:space-between!important}.justify-content-lg-around{-ms-flex-pack:distribute!important;justify-content:space-around!important}.align-items-lg-start{-ms-flex-align:start!important;align-items:flex-start!important}.align-items-lg-end{-ms-flex-align:end!important;align-items:flex-end!important}.align-items-lg-center{-ms-flex-align:center!important;align-items:center!important}.align-items-lg-baseline{-ms-flex-align:baseline!important;align-items:baseline!important}.align-items-lg-stretch{-ms-flex-align:stretch!important;align-items:stretch!important}.align-content-lg-start{-ms-flex-line-pack:start!important;align-content:flex-start!important}.align-content-lg-end{-ms-flex-line-pack:end!important;align-content:flex-end!important}.align-content-lg-center{-ms-flex-line-pack:center!important;align-content:center!important}.align-content-lg-between{-ms-flex-line-pack:justify!important;align-content:space-between!important}.align-content-lg-around{-ms-flex-line-pack:distribute!important;align-content:space-around!important}.align-content-lg-stretch{-ms-flex-line-pack:stretch!important;align-content:stretch!important}.align-self-lg-auto{-ms-flex-item-align:auto!important;align-self:auto!important}.align-self-lg-start{-ms-flex-item-align:start!important;align-self:flex-start!important}.align-self-lg-end{-ms-flex-item-align:end!important;align-self:flex-end!important}.align-self-lg-center{-ms-flex-item-align:center!important;align-self:center!important}.align-self-lg-baseline{-ms-flex-item-align:baseline!important;align-self:baseline!important}.align-self-lg-stretch{-ms-flex-item-align:stretch!important;align-self:stretch!important}}@media (min-width:1200px){.flex-xl-row{-ms-flex-direction:row!important;flex-direction:row!important}.flex-xl-column{-ms-flex-direction:column!important;flex-direction:column!important}.flex-xl-row-reverse{-ms-flex-direction:row-reverse!important;flex-direction:row-reverse!important}.flex-xl-column-reverse{-ms-flex-direction:column-reverse!important;flex-direction:column-reverse!important}.flex-xl-wrap{-ms-flex-wrap:wrap!important;flex-wrap:wrap!important}.flex-xl-nowrap{-ms-flex-wrap:nowrap!important;flex-wrap:nowrap!important}.flex-xl-wrap-reverse{-ms-flex-wrap:wrap-reverse!important;flex-wrap:wrap-reverse!important}.flex-xl-fill{-ms-flex:1 1 auto!important;flex:1 1 auto!important}.flex-xl-grow-0{-ms-flex-positive:0!important;flex-grow:0!important}.flex-xl-grow-1{-ms-flex-positive:1!important;flex-grow:1!important}.flex-xl-shrink-0{-ms-flex-negative:0!important;flex-shrink:0!important}.flex-xl-shrink-1{-ms-flex-negative:1!important;flex-shrink:1!important}.justify-content-xl-start{-ms-flex-pack:start!important;justify-content:flex-start!important}.justify-content-xl-end{-ms-flex-pack:end!important;justify-content:flex-end!important}.justify-content-xl-center{-ms-flex-pack:center!important;justify-content:center!important}.justify-content-xl-between{-ms-flex-pack:justify!important;justify-content:space-between!important}.justify-content-xl-around{-ms-flex-pack:distribute!important;justify-content:space-around!important}.align-items-xl-start{-ms-flex-align:start!important;align-items:flex-start!important}.align-items-xl-end{-ms-flex-align:end!important;align-items:flex-end!important}.align-items-xl-center{-ms-flex-align:center!important;align-items:center!important}.align-items-xl-baseline{-ms-flex-align:baseline!important;align-items:baseline!important}.align-items-xl-stretch{-ms-flex-align:stretch!important;align-items:stretch!important}.align-content-xl-start{-ms-flex-line-pack:start!important;align-content:flex-start!important}.align-content-xl-end{-ms-flex-line-pack:end!important;align-content:flex-end!important}.align-content-xl-center{-ms-flex-line-pack:center!important;align-content:center!important}.align-content-xl-between{-ms-flex-line-pack:justify!important;align-content:space-between!important}.align-content-xl-around{-ms-flex-line-pack:distribute!important;align-content:space-around!important}.align-content-xl-stretch{-ms-flex-line-pack:stretch!important;align-content:stretch!important}.align-self-xl-auto{-ms-flex-item-align:auto!important;align-self:auto!important}.align-self-xl-start{-ms-flex-item-align:start!important;align-self:flex-start!important}.align-self-xl-end{-ms-flex-item-align:end!important;align-self:flex-end!important}.align-self-xl-center{-ms-flex-item-align:center!important;align-self:center!important}.align-self-xl-baseline{-ms-flex-item-align:baseline!important;align-self:baseline!important}.align-self-xl-stretch{-ms-flex-item-align:stretch!important;align-self:stretch!important}}.float-left{float:left!important}.float-right{float:right!important}.float-none{float:none!important}@media (min-width:576px){.float-sm-left{float:left!important}.float-sm-right{float:right!important}.float-sm-none{float:none!important}}@media (min-width:768px){.float-md-left{float:left!important}.float-md-right{float:right!important}.float-md-none{float:none!important}}@media (min-width:992px){.float-lg-left{float:left!important}.float-lg-right{float:right!important}.float-lg-none{float:none!important}}@media (min-width:1200px){.float-xl-left{float:left!important}.float-xl-right{float:right!important}.float-xl-none{float:none!important}}.overflow-auto{overflow:auto!important}.overflow-hidden{overflow:hidden!important}.position-static{position:static!important}.position-relative{position:relative!important}.position-absolute{position:absolute!important}.position-fixed{position:fixed!important}.position-sticky{position:-webkit-sticky!important;position:sticky!important}.fixed-top{position:fixed;top:0;right:0;left:0;z-index:1030}.fixed-bottom{position:fixed;right:0;bottom:0;left:0;z-index:1030}@supports ((position:-webkit-sticky) or (position:sticky)){.sticky-top{position:-webkit-sticky;position:sticky;top:0;z-index:1020}}.sr-only{position:absolute;width:1px;height:1px;padding:0;overflow:hidden;clip:rect(0,0,0,0);white-space:nowrap;border:0}.sr-only-focusable:active,.sr-only-focusable:focus{position:static;width:auto;height:auto;overflow:visible;clip:auto;white-space:normal}.shadow-sm{box-shadow:0 .125rem .25rem rgba(0,0,0,.075)!important}.shadow{box-shadow:0 .5rem 1rem rgba(0,0,0,.15)!important}.shadow-lg{box-shadow:0 1rem 3rem rgba(0,0,0,.175)!important}.shadow-none{box-shadow:none!important}.w-25{width:25%!important}.w-50{width:50%!important}.w-75{width:75%!important}.w-100{width:100%!important}.w-auto{width:auto!important}.h-25{height:25%!important}.h-50{height:50%!important}.h-75{height:75%!important}.h-100{height:100%!important}.h-auto{height:auto!important}.mw-100{max-width:100%!important}.mh-100{max-height:100%!important}.min-vw-100{min-width:100vw!important}.min-vh-100{min-height:100vh!important}.vw-100{width:100vw!important}.vh-100{height:100vh!important}.stretched-link::after{position:absolute;top:0;right:0;bottom:0;left:0;z-index:1;pointer-events:auto;content:"";background-color:rgba(0,0,0,0)}.m-0{margin:0!important}.mt-0,.my-0{margin-top:0!important}.mr-0,.mx-0{margin-right:0!important}.mb-0,.my-0{margin-bottom:0!important}.ml-0,.mx-0{margin-left:0!important}.m-1{margin:.25rem!important}.mt-1,.my-1{margin-top:.25rem!important}.mr-1,.mx-1{margin-right:.25rem!important}.mb-1,.my-1{margin-bottom:.25rem!important}.ml-1,.mx-1{margin-left:.25rem!important}.m-2{margin:.5rem!important}.mt-2,.my-2{margin-top:.5rem!important}.mr-2,.mx-2{margin-right:.5rem!important}.mb-2,.my-2{margin-bottom:.5rem!important}.ml-2,.mx-2{margin-left:.5rem!important}.m-3{margin:1rem!important}.mt-3,.my-3{margin-top:1rem!important}.mr-3,.mx-3{margin-right:1rem!important}.mb-3,.my-3{margin-bottom:1rem!important}.ml-3,.mx-3{margin-left:1rem!important}.m-4{margin:1.5rem!important}.mt-4,.my-4{margin-top:1.5rem!important}.mr-4,.mx-4{margin-right:1.5rem!important}.mb-4,.my-4{margin-bottom:1.5rem!important}.ml-4,.mx-4{margin-left:1.5rem!important}.m-5{margin:3rem!important}.mt-5,.my-5{margin-top:3rem!important}.mr-5,.mx-5{margin-right:3rem!important}.mb-5,.my-5{margin-bottom:3rem!important}.ml-5,.mx-5{margin-left:3rem!important}.p-0{padding:0!important}.pt-0,.py-0{padding-top:0!important}.pr-0,.px-0{padding-right:0!important}.pb-0,.py-0{padding-bottom:0!important}.pl-0,.px-0{padding-left:0!important}.p-1{padding:.25rem!important}.pt-1,.py-1{padding-top:.25rem!important}.pr-1,.px-1{padding-right:.25rem!important}.pb-1,.py-1{padding-bottom:.25rem!important}.pl-1,.px-1{padding-left:.25rem!important}.p-2{padding:.5rem!important}.pt-2,.py-2{padding-top:.5rem!important}.pr-2,.px-2{padding-right:.5rem!important}.pb-2,.py-2{padding-bottom:.5rem!important}.pl-2,.px-2{padding-left:.5rem!important}.p-3{padding:1rem!important}.pt-3,.py-3{padding-top:1rem!important}.pr-3,.px-3{padding-right:1rem!important}.pb-3,.py-3{padding-bottom:1rem!important}.pl-3,.px-3{padding-left:1rem!important}.p-4{padding:1.5rem!important}.pt-4,.py-4{padding-top:1.5rem!important}.pr-4,.px-4{padding-right:1.5rem!important}.pb-4,.py-4{padding-bottom:1.5rem!important}.pl-4,.px-4{padding-left:1.5rem!important}.p-5{padding:3rem!important}.pt-5,.py-5{padding-top:3rem!important}.pr-5,.px-5{padding-right:3rem!important}.pb-5,.py-5{padding-bottom:3rem!important}.pl-5,.px-5{padding-left:3rem!important}.m-n1{margin:-.25rem!important}.mt-n1,.my-n1{margin-top:-.25rem!important}.mr-n1,.mx-n1{margin-right:-.25rem!important}.mb-n1,.my-n1{margin-bottom:-.25rem!important}.ml-n1,.mx-n1{margin-left:-.25rem!important}.m-n2{margin:-.5rem!important}.mt-n2,.my-n2{margin-top:-.5rem!important}.mr-n2,.mx-n2{margin-right:-.5rem!important}.mb-n2,.my-n2{margin-bottom:-.5rem!important}.ml-n2,.mx-n2{margin-left:-.5rem!important}.m-n3{margin:-1rem!important}.mt-n3,.my-n3{margin-top:-1rem!important}.mr-n3,.mx-n3{margin-right:-1rem!important}.mb-n3,.my-n3{margin-bottom:-1rem!important}.ml-n3,.mx-n3{margin-left:-1rem!important}.m-n4{margin:-1.5rem!important}.mt-n4,.my-n4{margin-top:-1.5rem!important}.mr-n4,.mx-n4{margin-right:-1.5rem!important}.mb-n4,.my-n4{margin-bottom:-1.5rem!important}.ml-n4,.mx-n4{margin-left:-1.5rem!important}.m-n5{margin:-3rem!important}.mt-n5,.my-n5{margin-top:-3rem!important}.mr-n5,.mx-n5{margin-right:-3rem!important}.mb-n5,.my-n5{margin-bottom:-3rem!important}.ml-n5,.mx-n5{margin-left:-3rem!important}.m-auto{margin:auto!important}.mt-auto,.my-auto{margin-top:auto!important}.mr-auto,.mx-auto{margin-right:auto!important}.mb-auto,.my-auto{margin-bottom:auto!important}.ml-auto,.mx-auto{margin-left:auto!important}@media (min-width:576px){.m-sm-0{margin:0!important}.mt-sm-0,.my-sm-0{margin-top:0!important}.mr-sm-0,.mx-sm-0{margin-right:0!important}.mb-sm-0,.my-sm-0{margin-bottom:0!important}.ml-sm-0,.mx-sm-0{margin-left:0!important}.m-sm-1{margin:.25rem!important}.mt-sm-1,.my-sm-1{margin-top:.25rem!important}.mr-sm-1,.mx-sm-1{margin-right:.25rem!important}.mb-sm-1,.my-sm-1{margin-bottom:.25rem!important}.ml-sm-1,.mx-sm-1{margin-left:.25rem!important}.m-sm-2{margin:.5rem!important}.mt-sm-2,.my-sm-2{margin-top:.5rem!important}.mr-sm-2,.mx-sm-2{margin-right:.5rem!important}.mb-sm-2,.my-sm-2{margin-bottom:.5rem!important}.ml-sm-2,.mx-sm-2{margin-left:.5rem!important}.m-sm-3{margin:1rem!important}.mt-sm-3,.my-sm-3{margin-top:1rem!important}.mr-sm-3,.mx-sm-3{margin-right:1rem!important}.mb-sm-3,.my-sm-3{margin-bottom:1rem!important}.ml-sm-3,.mx-sm-3{margin-left:1rem!important}.m-sm-4{margin:1.5rem!important}.mt-sm-4,.my-sm-4{margin-top:1.5rem!important}.mr-sm-4,.mx-sm-4{margin-right:1.5rem!important}.mb-sm-4,.my-sm-4{margin-bottom:1.5rem!important}.ml-sm-4,.mx-sm-4{margin-left:1.5rem!important}.m-sm-5{margin:3rem!important}.mt-sm-5,.my-sm-5{margin-top:3rem!important}.mr-sm-5,.mx-sm-5{margin-right:3rem!important}.mb-sm-5,.my-sm-5{margin-bottom:3rem!important}.ml-sm-5,.mx-sm-5{margin-left:3rem!important}.p-sm-0{padding:0!important}.pt-sm-0,.py-sm-0{padding-top:0!important}.pr-sm-0,.px-sm-0{padding-right:0!important}.pb-sm-0,.py-sm-0{padding-bottom:0!important}.pl-sm-0,.px-sm-0{padding-left:0!important}.p-sm-1{padding:.25rem!important}.pt-sm-1,.py-sm-1{padding-top:.25rem!important}.pr-sm-1,.px-sm-1{padding-right:.25rem!important}.pb-sm-1,.py-sm-1{padding-bottom:.25rem!important}.pl-sm-1,.px-sm-1{padding-left:.25rem!important}.p-sm-2{padding:.5rem!important}.pt-sm-2,.py-sm-2{padding-top:.5rem!important}.pr-sm-2,.px-sm-2{padding-right:.5rem!important}.pb-sm-2,.py-sm-2{padding-bottom:.5rem!important}.pl-sm-2,.px-sm-2{padding-left:.5rem!important}.p-sm-3{padding:1rem!important}.pt-sm-3,.py-sm-3{padding-top:1rem!important}.pr-sm-3,.px-sm-3{padding-right:1rem!important}.pb-sm-3,.py-sm-3{padding-bottom:1rem!important}.pl-sm-3,.px-sm-3{padding-left:1rem!important}.p-sm-4{padding:1.5rem!important}.pt-sm-4,.py-sm-4{padding-top:1.5rem!important}.pr-sm-4,.px-sm-4{padding-right:1.5rem!important}.pb-sm-4,.py-sm-4{padding-bottom:1.5rem!important}.pl-sm-4,.px-sm-4{padding-left:1.5rem!important}.p-sm-5{padding:3rem!important}.pt-sm-5,.py-sm-5{padding-top:3rem!important}.pr-sm-5,.px-sm-5{padding-right:3rem!important}.pb-sm-5,.py-sm-5{padding-bottom:3rem!important}.pl-sm-5,.px-sm-5{padding-left:3rem!important}.m-sm-n1{margin:-.25rem!important}.mt-sm-n1,.my-sm-n1{margin-top:-.25rem!important}.mr-sm-n1,.mx-sm-n1{margin-right:-.25rem!important}.mb-sm-n1,.my-sm-n1{margin-bottom:-.25rem!important}.ml-sm-n1,.mx-sm-n1{margin-left:-.25rem!important}.m-sm-n2{margin:-.5rem!important}.mt-sm-n2,.my-sm-n2{margin-top:-.5rem!important}.mr-sm-n2,.mx-sm-n2{margin-right:-.5rem!important}.mb-sm-n2,.my-sm-n2{margin-bottom:-.5rem!important}.ml-sm-n2,.mx-sm-n2{margin-left:-.5rem!important}.m-sm-n3{margin:-1rem!important}.mt-sm-n3,.my-sm-n3{margin-top:-1rem!important}.mr-sm-n3,.mx-sm-n3{margin-right:-1rem!important}.mb-sm-n3,.my-sm-n3{margin-bottom:-1rem!important}.ml-sm-n3,.mx-sm-n3{margin-left:-1rem!important}.m-sm-n4{margin:-1.5rem!important}.mt-sm-n4,.my-sm-n4{margin-top:-1.5rem!important}.mr-sm-n4,.mx-sm-n4{margin-right:-1.5rem!important}.mb-sm-n4,.my-sm-n4{margin-bottom:-1.5rem!important}.ml-sm-n4,.mx-sm-n4{margin-left:-1.5rem!important}.m-sm-n5{margin:-3rem!important}.mt-sm-n5,.my-sm-n5{margin-top:-3rem!important}.mr-sm-n5,.mx-sm-n5{margin-right:-3rem!important}.mb-sm-n5,.my-sm-n5{margin-bottom:-3rem!important}.ml-sm-n5,.mx-sm-n5{margin-left:-3rem!important}.m-sm-auto{margin:auto!important}.mt-sm-auto,.my-sm-auto{margin-top:auto!important}.mr-sm-auto,.mx-sm-auto{margin-right:auto!important}.mb-sm-auto,.my-sm-auto{margin-bottom:auto!important}.ml-sm-auto,.mx-sm-auto{margin-left:auto!important}}@media (min-width:768px){.m-md-0{margin:0!important}.mt-md-0,.my-md-0{margin-top:0!important}.mr-md-0,.mx-md-0{margin-right:0!important}.mb-md-0,.my-md-0{margin-bottom:0!important}.ml-md-0,.mx-md-0{margin-left:0!important}.m-md-1{margin:.25rem!important}.mt-md-1,.my-md-1{margin-top:.25rem!important}.mr-md-1,.mx-md-1{margin-right:.25rem!important}.mb-md-1,.my-md-1{margin-bottom:.25rem!important}.ml-md-1,.mx-md-1{margin-left:.25rem!important}.m-md-2{margin:.5rem!important}.mt-md-2,.my-md-2{margin-top:.5rem!important}.mr-md-2,.mx-md-2{margin-right:.5rem!important}.mb-md-2,.my-md-2{margin-bottom:.5rem!important}.ml-md-2,.mx-md-2{margin-left:.5rem!important}.m-md-3{margin:1rem!important}.mt-md-3,.my-md-3{margin-top:1rem!important}.mr-md-3,.mx-md-3{margin-right:1rem!important}.mb-md-3,.my-md-3{margin-bottom:1rem!important}.ml-md-3,.mx-md-3{margin-left:1rem!important}.m-md-4{margin:1.5rem!important}.mt-md-4,.my-md-4{margin-top:1.5rem!important}.mr-md-4,.mx-md-4{margin-right:1.5rem!important}.mb-md-4,.my-md-4{margin-bottom:1.5rem!important}.ml-md-4,.mx-md-4{margin-left:1.5rem!important}.m-md-5{margin:3rem!important}.mt-md-5,.my-md-5{margin-top:3rem!important}.mr-md-5,.mx-md-5{margin-right:3rem!important}.mb-md-5,.my-md-5{margin-bottom:3rem!important}.ml-md-5,.mx-md-5{margin-left:3rem!important}.p-md-0{padding:0!important}.pt-md-0,.py-md-0{padding-top:0!important}.pr-md-0,.px-md-0{padding-right:0!important}.pb-md-0,.py-md-0{padding-bottom:0!important}.pl-md-0,.px-md-0{padding-left:0!important}.p-md-1{padding:.25rem!important}.pt-md-1,.py-md-1{padding-top:.25rem!important}.pr-md-1,.px-md-1{padding-right:.25rem!important}.pb-md-1,.py-md-1{padding-bottom:.25rem!important}.pl-md-1,.px-md-1{padding-left:.25rem!important}.p-md-2{padding:.5rem!important}.pt-md-2,.py-md-2{padding-top:.5rem!important}.pr-md-2,.px-md-2{padding-right:.5rem!important}.pb-md-2,.py-md-2{padding-bottom:.5rem!important}.pl-md-2,.px-md-2{padding-left:.5rem!important}.p-md-3{padding:1rem!important}.pt-md-3,.py-md-3{padding-top:1rem!important}.pr-md-3,.px-md-3{padding-right:1rem!important}.pb-md-3,.py-md-3{padding-bottom:1rem!important}.pl-md-3,.px-md-3{padding-left:1rem!important}.p-md-4{padding:1.5rem!important}.pt-md-4,.py-md-4{padding-top:1.5rem!important}.pr-md-4,.px-md-4{padding-right:1.5rem!important}.pb-md-4,.py-md-4{padding-bottom:1.5rem!important}.pl-md-4,.px-md-4{padding-left:1.5rem!important}.p-md-5{padding:3rem!important}.pt-md-5,.py-md-5{padding-top:3rem!important}.pr-md-5,.px-md-5{padding-right:3rem!important}.pb-md-5,.py-md-5{padding-bottom:3rem!important}.pl-md-5,.px-md-5{padding-left:3rem!important}.m-md-n1{margin:-.25rem!important}.mt-md-n1,.my-md-n1{margin-top:-.25rem!important}.mr-md-n1,.mx-md-n1{margin-right:-.25rem!important}.mb-md-n1,.my-md-n1{margin-bottom:-.25rem!important}.ml-md-n1,.mx-md-n1{margin-left:-.25rem!important}.m-md-n2{margin:-.5rem!important}.mt-md-n2,.my-md-n2{margin-top:-.5rem!important}.mr-md-n2,.mx-md-n2{margin-right:-.5rem!important}.mb-md-n2,.my-md-n2{margin-bottom:-.5rem!important}.ml-md-n2,.mx-md-n2{margin-left:-.5rem!important}.m-md-n3{margin:-1rem!important}.mt-md-n3,.my-md-n3{margin-top:-1rem!important}.mr-md-n3,.mx-md-n3{margin-right:-1rem!important}.mb-md-n3,.my-md-n3{margin-bottom:-1rem!important}.ml-md-n3,.mx-md-n3{margin-left:-1rem!important}.m-md-n4{margin:-1.5rem!important}.mt-md-n4,.my-md-n4{margin-top:-1.5rem!important}.mr-md-n4,.mx-md-n4{margin-right:-1.5rem!important}.mb-md-n4,.my-md-n4{margin-bottom:-1.5rem!important}.ml-md-n4,.mx-md-n4{margin-left:-1.5rem!important}.m-md-n5{margin:-3rem!important}.mt-md-n5,.my-md-n5{margin-top:-3rem!important}.mr-md-n5,.mx-md-n5{margin-right:-3rem!important}.mb-md-n5,.my-md-n5{margin-bottom:-3rem!important}.ml-md-n5,.mx-md-n5{margin-left:-3rem!important}.m-md-auto{margin:auto!important}.mt-md-auto,.my-md-auto{margin-top:auto!important}.mr-md-auto,.mx-md-auto{margin-right:auto!important}.mb-md-auto,.my-md-auto{margin-bottom:auto!important}.ml-md-auto,.mx-md-auto{margin-left:auto!important}}@media (min-width:992px){.m-lg-0{margin:0!important}.mt-lg-0,.my-lg-0{margin-top:0!important}.mr-lg-0,.mx-lg-0{margin-right:0!important}.mb-lg-0,.my-lg-0{margin-bottom:0!important}.ml-lg-0,.mx-lg-0{margin-left:0!important}.m-lg-1{margin:.25rem!important}.mt-lg-1,.my-lg-1{margin-top:.25rem!important}.mr-lg-1,.mx-lg-1{margin-right:.25rem!important}.mb-lg-1,.my-lg-1{margin-bottom:.25rem!important}.ml-lg-1,.mx-lg-1{margin-left:.25rem!important}.m-lg-2{margin:.5rem!important}.mt-lg-2,.my-lg-2{margin-top:.5rem!important}.mr-lg-2,.mx-lg-2{margin-right:.5rem!important}.mb-lg-2,.my-lg-2{margin-bottom:.5rem!important}.ml-lg-2,.mx-lg-2{margin-left:.5rem!important}.m-lg-3{margin:1rem!important}.mt-lg-3,.my-lg-3{margin-top:1rem!important}.mr-lg-3,.mx-lg-3{margin-right:1rem!important}.mb-lg-3,.my-lg-3{margin-bottom:1rem!important}.ml-lg-3,.mx-lg-3{margin-left:1rem!important}.m-lg-4{margin:1.5rem!important}.mt-lg-4,.my-lg-4{margin-top:1.5rem!important}.mr-lg-4,.mx-lg-4{margin-right:1.5rem!important}.mb-lg-4,.my-lg-4{margin-bottom:1.5rem!important}.ml-lg-4,.mx-lg-4{margin-left:1.5rem!important}.m-lg-5{margin:3rem!important}.mt-lg-5,.my-lg-5{margin-top:3rem!important}.mr-lg-5,.mx-lg-5{margin-right:3rem!important}.mb-lg-5,.my-lg-5{margin-bottom:3rem!important}.ml-lg-5,.mx-lg-5{margin-left:3rem!important}.p-lg-0{padding:0!important}.pt-lg-0,.py-lg-0{padding-top:0!important}.pr-lg-0,.px-lg-0{padding-right:0!important}.pb-lg-0,.py-lg-0{padding-bottom:0!important}.pl-lg-0,.px-lg-0{padding-left:0!important}.p-lg-1{padding:.25rem!important}.pt-lg-1,.py-lg-1{padding-top:.25rem!important}.pr-lg-1,.px-lg-1{padding-right:.25rem!important}.pb-lg-1,.py-lg-1{padding-bottom:.25rem!important}.pl-lg-1,.px-lg-1{padding-left:.25rem!important}.p-lg-2{padding:.5rem!important}.pt-lg-2,.py-lg-2{padding-top:.5rem!important}.pr-lg-2,.px-lg-2{padding-right:.5rem!important}.pb-lg-2,.py-lg-2{padding-bottom:.5rem!important}.pl-lg-2,.px-lg-2{padding-left:.5rem!important}.p-lg-3{padding:1rem!important}.pt-lg-3,.py-lg-3{padding-top:1rem!important}.pr-lg-3,.px-lg-3{padding-right:1rem!important}.pb-lg-3,.py-lg-3{padding-bottom:1rem!important}.pl-lg-3,.px-lg-3{padding-left:1rem!important}.p-lg-4{padding:1.5rem!important}.pt-lg-4,.py-lg-4{padding-top:1.5rem!important}.pr-lg-4,.px-lg-4{padding-right:1.5rem!important}.pb-lg-4,.py-lg-4{padding-bottom:1.5rem!important}.pl-lg-4,.px-lg-4{padding-left:1.5rem!important}.p-lg-5{padding:3rem!important}.pt-lg-5,.py-lg-5{padding-top:3rem!important}.pr-lg-5,.px-lg-5{padding-right:3rem!important}.pb-lg-5,.py-lg-5{padding-bottom:3rem!important}.pl-lg-5,.px-lg-5{padding-left:3rem!important}.m-lg-n1{margin:-.25rem!important}.mt-lg-n1,.my-lg-n1{margin-top:-.25rem!important}.mr-lg-n1,.mx-lg-n1{margin-right:-.25rem!important}.mb-lg-n1,.my-lg-n1{margin-bottom:-.25rem!important}.ml-lg-n1,.mx-lg-n1{margin-left:-.25rem!important}.m-lg-n2{margin:-.5rem!important}.mt-lg-n2,.my-lg-n2{margin-top:-.5rem!important}.mr-lg-n2,.mx-lg-n2{margin-right:-.5rem!important}.mb-lg-n2,.my-lg-n2{margin-bottom:-.5rem!important}.ml-lg-n2,.mx-lg-n2{margin-left:-.5rem!important}.m-lg-n3{margin:-1rem!important}.mt-lg-n3,.my-lg-n3{margin-top:-1rem!important}.mr-lg-n3,.mx-lg-n3{margin-right:-1rem!important}.mb-lg-n3,.my-lg-n3{margin-bottom:-1rem!important}.ml-lg-n3,.mx-lg-n3{margin-left:-1rem!important}.m-lg-n4{margin:-1.5rem!important}.mt-lg-n4,.my-lg-n4{margin-top:-1.5rem!important}.mr-lg-n4,.mx-lg-n4{margin-right:-1.5rem!important}.mb-lg-n4,.my-lg-n4{margin-bottom:-1.5rem!important}.ml-lg-n4,.mx-lg-n4{margin-left:-1.5rem!important}.m-lg-n5{margin:-3rem!important}.mt-lg-n5,.my-lg-n5{margin-top:-3rem!important}.mr-lg-n5,.mx-lg-n5{margin-right:-3rem!important}.mb-lg-n5,.my-lg-n5{margin-bottom:-3rem!important}.ml-lg-n5,.mx-lg-n5{margin-left:-3rem!important}.m-lg-auto{margin:auto!important}.mt-lg-auto,.my-lg-auto{margin-top:auto!important}.mr-lg-auto,.mx-lg-auto{margin-right:auto!important}.mb-lg-auto,.my-lg-auto{margin-bottom:auto!important}.ml-lg-auto,.mx-lg-auto{margin-left:auto!important}}@media (min-width:1200px){.m-xl-0{margin:0!important}.mt-xl-0,.my-xl-0{margin-top:0!important}.mr-xl-0,.mx-xl-0{margin-right:0!important}.mb-xl-0,.my-xl-0{margin-bottom:0!important}.ml-xl-0,.mx-xl-0{margin-left:0!important}.m-xl-1{margin:.25rem!important}.mt-xl-1,.my-xl-1{margin-top:.25rem!important}.mr-xl-1,.mx-xl-1{margin-right:.25rem!important}.mb-xl-1,.my-xl-1{margin-bottom:.25rem!important}.ml-xl-1,.mx-xl-1{margin-left:.25rem!important}.m-xl-2{margin:.5rem!important}.mt-xl-2,.my-xl-2{margin-top:.5rem!important}.mr-xl-2,.mx-xl-2{margin-right:.5rem!important}.mb-xl-2,.my-xl-2{margin-bottom:.5rem!important}.ml-xl-2,.mx-xl-2{margin-left:.5rem!important}.m-xl-3{margin:1rem!important}.mt-xl-3,.my-xl-3{margin-top:1rem!important}.mr-xl-3,.mx-xl-3{margin-right:1rem!important}.mb-xl-3,.my-xl-3{margin-bottom:1rem!important}.ml-xl-3,.mx-xl-3{margin-left:1rem!important}.m-xl-4{margin:1.5rem!important}.mt-xl-4,.my-xl-4{margin-top:1.5rem!important}.mr-xl-4,.mx-xl-4{margin-right:1.5rem!important}.mb-xl-4,.my-xl-4{margin-bottom:1.5rem!important}.ml-xl-4,.mx-xl-4{margin-left:1.5rem!important}.m-xl-5{margin:3rem!important}.mt-xl-5,.my-xl-5{margin-top:3rem!important}.mr-xl-5,.mx-xl-5{margin-right:3rem!important}.mb-xl-5,.my-xl-5{margin-bottom:3rem!important}.ml-xl-5,.mx-xl-5{margin-left:3rem!important}.p-xl-0{padding:0!important}.pt-xl-0,.py-xl-0{padding-top:0!important}.pr-xl-0,.px-xl-0{padding-right:0!important}.pb-xl-0,.py-xl-0{padding-bottom:0!important}.pl-xl-0,.px-xl-0{padding-left:0!important}.p-xl-1{padding:.25rem!important}.pt-xl-1,.py-xl-1{padding-top:.25rem!important}.pr-xl-1,.px-xl-1{padding-right:.25rem!important}.pb-xl-1,.py-xl-1{padding-bottom:.25rem!important}.pl-xl-1,.px-xl-1{padding-left:.25rem!important}.p-xl-2{padding:.5rem!important}.pt-xl-2,.py-xl-2{padding-top:.5rem!important}.pr-xl-2,.px-xl-2{padding-right:.5rem!important}.pb-xl-2,.py-xl-2{padding-bottom:.5rem!important}.pl-xl-2,.px-xl-2{padding-left:.5rem!important}.p-xl-3{padding:1rem!important}.pt-xl-3,.py-xl-3{padding-top:1rem!important}.pr-xl-3,.px-xl-3{padding-right:1rem!important}.pb-xl-3,.py-xl-3{padding-bottom:1rem!important}.pl-xl-3,.px-xl-3{padding-left:1rem!important}.p-xl-4{padding:1.5rem!important}.pt-xl-4,.py-xl-4{padding-top:1.5rem!important}.pr-xl-4,.px-xl-4{padding-right:1.5rem!important}.pb-xl-4,.py-xl-4{padding-bottom:1.5rem!important}.pl-xl-4,.px-xl-4{padding-left:1.5rem!important}.p-xl-5{padding:3rem!important}.pt-xl-5,.py-xl-5{padding-top:3rem!important}.pr-xl-5,.px-xl-5{padding-right:3rem!important}.pb-xl-5,.py-xl-5{padding-bottom:3rem!important}.pl-xl-5,.px-xl-5{padding-left:3rem!important}.m-xl-n1{margin:-.25rem!important}.mt-xl-n1,.my-xl-n1{margin-top:-.25rem!important}.mr-xl-n1,.mx-xl-n1{margin-right:-.25rem!important}.mb-xl-n1,.my-xl-n1{margin-bottom:-.25rem!important}.ml-xl-n1,.mx-xl-n1{margin-left:-.25rem!important}.m-xl-n2{margin:-.5rem!important}.mt-xl-n2,.my-xl-n2{margin-top:-.5rem!important}.mr-xl-n2,.mx-xl-n2{margin-right:-.5rem!important}.mb-xl-n2,.my-xl-n2{margin-bottom:-.5rem!important}.ml-xl-n2,.mx-xl-n2{margin-left:-.5rem!important}.m-xl-n3{margin:-1rem!important}.mt-xl-n3,.my-xl-n3{margin-top:-1rem!important}.mr-xl-n3,.mx-xl-n3{margin-right:-1rem!important}.mb-xl-n3,.my-xl-n3{margin-bottom:-1rem!important}.ml-xl-n3,.mx-xl-n3{margin-left:-1rem!important}.m-xl-n4{margin:-1.5rem!important}.mt-xl-n4,.my-xl-n4{margin-top:-1.5rem!important}.mr-xl-n4,.mx-xl-n4{margin-right:-1.5rem!important}.mb-xl-n4,.my-xl-n4{margin-bottom:-1.5rem!important}.ml-xl-n4,.mx-xl-n4{margin-left:-1.5rem!important}.m-xl-n5{margin:-3rem!important}.mt-xl-n5,.my-xl-n5{margin-top:-3rem!important}.mr-xl-n5,.mx-xl-n5{margin-right:-3rem!important}.mb-xl-n5,.my-xl-n5{margin-bottom:-3rem!important}.ml-xl-n5,.mx-xl-n5{margin-left:-3rem!important}.m-xl-auto{margin:auto!important}.mt-xl-auto,.my-xl-auto{margin-top:auto!important}.mr-xl-auto,.mx-xl-auto{margin-right:auto!important}.mb-xl-auto,.my-xl-auto{margin-bottom:auto!important}.ml-xl-auto,.mx-xl-auto{margin-left:auto!important}}.text-monospace{font-family:SFMono-Regular,Menlo,Monaco,Consolas,"Liberation Mono","Courier New",monospace!important}.text-justify{text-align:justify!important}.text-wrap{white-space:normal!important}.text-nowrap{white-space:nowrap!important}.text-truncate{overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.text-left{text-align:left!important}.text-right{text-align:right!important}.text-center{text-align:center!important}@media (min-width:576px){.text-sm-left{text-align:left!important}.text-sm-right{text-align:right!important}.text-sm-center{text-align:center!important}}@media (min-width:768px){.text-md-left{text-align:left!important}.text-md-right{text-align:right!important}.text-md-center{text-align:center!important}}@media (min-width:992px){.text-lg-left{text-align:left!important}.text-lg-right{text-align:right!important}.text-lg-center{text-align:center!important}}@media (min-width:1200px){.text-xl-left{text-align:left!important}.text-xl-right{text-align:right!important}.text-xl-center{text-align:center!important}}.text-lowercase{text-transform:lowercase!important}.text-uppercase{text-transform:uppercase!important}.text-capitalize{text-transform:capitalize!important}.font-weight-light{font-weight:300!important}.font-weight-lighter{font-weight:lighter!important}.font-weight-normal{font-weight:400!important}.font-weight-bold{font-weight:700!important}.font-weight-bolder{font-weight:bolder!important}.font-italic{font-style:italic!important}.text-white{color:#fff!important}.text-primary{color:#007bff!important}a.text-primary:focus,a.text-primary:hover{color:#0056b3!important}.text-secondary{color:#6c757d!important}a.text-secondary:focus,a.text-secondary:hover{color:#494f54!important}.text-success{color:#28a745!important}a.text-success:focus,a.text-success:hover{color:#19692c!important}.text-info{color:#17a2b8!important}a.text-info:focus,a.text-info:hover{color:#0f6674!important}.text-warning{color:#ffc107!important}a.text-warning:focus,a.text-warning:hover{color:#ba8b00!important}.text-danger{color:#dc3545!important}a.text-danger:focus,a.text-danger:hover{color:#a71d2a!important}.text-light{color:#f8f9fa!important}a.text-light:focus,a.text-light:hover{color:#cbd3da!important}.text-dark{color:#343a40!important}a.text-dark:focus,a.text-dark:hover{color:#121416!important}.text-body{color:#212529!important}.text-muted{color:#6c757d!important}.text-black-50{color:rgba(0,0,0,.5)!important}.text-white-50{color:rgba(255,255,255,.5)!important}.text-hide{font:0/0 a;color:transparent;text-shadow:none;background-color:transparent;border:0}.text-decoration-none{text-decoration:none!important}.text-break{word-break:break-word!important;overflow-wrap:break-word!important}.text-reset{color:inherit!important}.visible{visibility:visible!important}.invisible{visibility:hidden!important}@media print{*,::after,::before{text-shadow:none!important;box-shadow:none!important}a:not(.btn){text-decoration:underline}abbr[title]::after{content:" (" attr(title) ")"}pre{white-space:pre-wrap!important}blockquote,pre{border:1px solid #adb5bd;page-break-inside:avoid}thead{display:table-header-group}img,tr{page-break-inside:avoid}h2,h3,p{orphans:3;widows:3}h2,h3{page-break-after:avoid}@page{size:a3}body{min-width:992px!important}.container{min-width:992px!important}.navbar{display:none}.badge{border:1px solid #000}.table{border-collapse:collapse!important}.table td,.table th{background-color:#fff!important}.table-bordered td,.table-bordered th{border:1px solid #dee2e6!important}.table-dark{color:inherit}.table-dark tbody+tbody,.table-dark td,.table-dark th,.table-dark thead th{border-color:#dee2e6}.table .thead-dark th{color:inherit;border-color:#dee2e6}}
-/*# sourceMappingURL=bootstrap.min.css.map */
\ No newline at end of file
diff --git a/previews/PR41/cuda/index.html b/previews/PR41/cuda/index.html
deleted file mode 100644
index dda3e3b..0000000
--- a/previews/PR41/cuda/index.html
+++ /dev/null
@@ -1,211 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-  
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>NVIDIA CUDA ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-<!-- Content appended here -->
-
-<h1 id="nvidia_cuda"><a href="#nvidia_cuda" class="header-anchor">NVIDIA CUDA</a></h1>
-
-<p>
-<a href="https://cuda.juliagpu.org/stable/">
-  <img src="https://img.shields.io/badge/docs-stable-blue.svg" alt>
-</a>
-<a href="https://github.com/JuliaGPU/CUDA.jl">
-  <img src="https://img.shields.io/github/stars/JuliaGPU/CUDA.jl?style=social" alt>
-</a>
-</p>
-
-<p>The programming support for NVIDIA GPUs in Julia is provided by the <a href="https://github.com/JuliaGPU/CUDA.jl">CUDA.jl</a> package. It is built on the CUDA toolkit, and aims to be as full-featured and offer the same performance as CUDA C. The toolchain is mature, has been under development since 2014 and can easily be installed on any current version of Julia using the integrated package manager.</p>
-<p>CUDA.jl makes it possible to program NVIDIA GPUs at different abstraction levels:</p>
-<ul>
-<li><p>by using the <code>CuArray</code> type, providing a user-friendly yet powerful abstraction that does not require any GPU programming experience;</p>
-</li>
-<li><p>by writing CUDA kernels, with the same performance as kernels written in CUDA C;</p>
-</li>
-<li><p>by interfacing with CUDA APIs and libraries directly, offering the same level of flexibility you would expect from a C-based programming environment.</p>
-</li>
-</ul>
-<p>The <a href="https://cuda.juliagpu.org/stable/">documentation</a> of CUDA.jl demonstrates each of these approaches.</p>
-<h2 id="performance"><a href="#performance" class="header-anchor">Performance</a></h2>
-<p>Julia on the CPU is known for its good performance, approaching that of statically compiled languages like C. The same holds for programming NVIDIA GPUs with kernels written using CUDA.jl, where we have <a href="https://www.sciencedirect.com/science/article/pii/S0965997818310123">shown</a> the performance to approach and even sometimes exceed that of CUDA C on a selection<sup id="fnref:1"><a href="#fndef:1" class="fnref">[1]</a></sup> of applications from the Rodinia benchmark suite:</p>
-
-<div class="card mb-3">
-  <a href="/previews/PR41/assets/img/cuda-performance.png">
-    <img src="/previews/PR41/assets/img/cuda-performance.png" class=card-img-top alt>
-  </a>
-  <div class=card-body>
-    <p class=card-text>
-      Relative performance of Rodinia benchmarks <a href=https://github.com/JuliaParallel/rodinia>implemented in Julia with CUDA.jl</a>.
-    </p>
-  </div>
-</div>
-
-<hr />
-<p><table class="fndef" id="fndef:1">
-    <tr>
-        <td class="fndef-backref"><a href="#fnref:1">[1]</a></td>
-        <td class="fndef-content">Since porting applications from one programming language to another is labour</td>
-    </tr>
-</table>
-intensive, we only ported and analyzed the 10 smallest benchmarks from the suite. More details can be found in <a href="https://www.sciencedirect.com/science/article/pii/S0965997818310123">the paper</a>.</p>
-
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/index.html b/previews/PR41/index.html
deleted file mode 100644
index 1b772fa..0000000
--- a/previews/PR41/index.html
+++ /dev/null
@@ -1,227 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-  
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-    <title>JuliaGPU</title>
-  
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-<!-- Content appended here -->
-
-
-<div id=home-jumbotron class="jumbotron text-center">
-  <h1><img height=70 src="/previews/PR41/assets/logo_crop.png">
-      JuliaGPU</h1>
-  <p class=font-125>
-    High-performance GPU programming in a high-level language.
-  </p>
-</div>
-
-<p>JuliaGPU is a Github organization created to unify the many packages for programming GPUs in Julia. With its high-level syntax and flexible compiler, Julia is well positioned to productively program hardware accelerators like GPUs without sacrificing performance.</p>
-<p>Several GPU platforms are supported, but there are large differences in features and stability. On this website, you can find a brief introduction of the supported platforms and links to the respective home pages.</p>
-<div style=position:relative;padding-bottom:56.25%;height:0;overflow:hidden>
-  <iframe
-    src=https://www.youtube.com/embed/Hz9IMJuW5hU
-    style="position: absolute; top: 0; left: 0; width: 100%; height: 100%; border:0;"
-    allowfullscreen
-    title="YouTube Video">
-  </iframe>
-</div>
-
-<p><br /></p>
-<h2 id="supported_platforms"><a href="#supported_platforms" class="header-anchor">Supported platforms</a></h2>
-<p>The best supported GPU platform in Julia is <a href="/previews/PR41/cuda/"><strong>NVIDIA CUDA</strong></a>, with mature and full-featured packages for both low-level kernel programming as well as working with high-level operations on arrays. All versions of Julia are supported, on Linux and Windows, and the functionality is actively used by a variety of applications and libraries.</p>
-<p>Similar, but much newer capabilities exist for <a href="/previews/PR41/oneapi/"><strong>Intel GPUs with oneAPI</strong></a>. Currently, full-featured kernel programming capabilities are available, but there is no support for vendor libraries such as oneMKL or oneDNN yet.</p>
-<p>Maturing support exists for <a href="/previews/PR41/rocm/"><strong>AMD GPUs</strong></a> running on the ROCm stack. These GPUs can again be programmed in Julia at the kernel level or using high-level operations on arrays. Latest versions of Julia are supported, and the functionality is increasingly used by a variety of applications and libraries.</p>
-<p>Experimental support also exists for <a href="/previews/PR41/metal/"><strong>Apple GPUs</strong></a>. Array programming and kernel programming are both supported.</p>
-<h2 id="applications"><a href="#applications" class="header-anchor">Applications</a></h2>
-<p>Almost <a href="https://juliahub.com/ui/Packages/CUDA/oWw5k?page&#61;2">300 packages</a> rely directly or indirectly on Julia&#39;s GPU capabilities. A few noteworthy examples are:</p>
-<ul>
-<li><p><a href="https://github.com/JuliaDiffEq/DiffEqGPU.jl">DiffEqGPU.jl</a> as part of the DifferentialEquations.jl ecosystem, for using GPUs in differential equation solvers</p>
-</li>
-<li><p><a href="https://github.com/FluxML/Flux.jl">Flux.jl</a> library for machine-learning</p>
-</li>
-<li><p><a href="https://github.com/climate-machine/Oceananigans.jl">Oceananigans.jl</a> to accelerate a non-hydrostatic ocean modeling application</p>
-</li>
-<li><p><a href="https://github.com/QuantumBFS/Yao.jl">Yao.jl</a> framework for quantum information research</p>
-</li>
-<li><p><a href="https://github.com/JuliaGPU/KernelAbstractions.jl">KernelAbstractions.jl</a> for working with CPUs and GPUs alike using vendor-neutral abstractions</p>
-</li>
-<li><p><a href="https://github.com/JuliaGPU/GemmKernels.jl">GemmKernels.jl</a> providing flexible and performant GEMM kernels</p>
-</li>
-</ul>
-<p>Many other Julia applications and libraries can be used with GPUs, too: By means of GPU-specific array types like CuArray from CUDA.jl or ROCArray from AMDGPU.jl, existing software that uses the Julia array interfaces can often be executed as-is on a GPU.</p>
-<h2 id="publications"><a href="#publications" class="header-anchor">Publications</a></h2>
-<p>Much of Julia&#39;s GPU support was developed as part of academic research. If you would like to help support it, please star the relevant repositories as such metrics may help us secure funding in the future. If you use our software as part of your research, teaching, or other activities, we would be grateful if you could cite our work:</p>
-<ul>
-<li><p>Tim Besard, Christophe Foket, and Bjorn De Sutter. &quot;<a href="https://ieeexplore.ieee.org/abstract/document/8471188">Effective extensible programming: Unleashing Julia on GPUs.</a>&quot; <em>IEEE Transactions on Parallel and Distributed Systems</em> &#40;2018&#41;.</p>
-</li>
-<li><p>Tim Besard, Valentin Churavy, Alan Edelman and Bjorn De Sutter. &quot;<a href="https://www.sciencedirect.com/science/article/pii/S0965997818310123">Rapid software prototyping for heterogeneous and distributed platforms.</a>&quot; <em>Advances in Engineering Software</em> &#40;2019&#41;.</p>
-</li>
-<li><p>Thomas Faingnaert, Tim Besard, and Bjorn De Sutter. &quot;<a href="https://ieeexplore.ieee.org/document/9655458">Flexible Performant GEMM Kernels on GPUs.</a>&quot; <em>IEEE Transactions on Parallel and Distributed Systems</em> &#40;2021&#41;.</p>
-</li>
-</ul>
-<h2 id="community"><a href="#community" class="header-anchor">Community</a></h2>
-<p>If you need help, or have questions about GPU programming in Julia, you can find members of the community at:</p>
-<ul>
-<li><p>Julia Discourse, with a dedicated <a href="https://discourse.julialang.org/c/domain/gpu/11">GPU section</a></p>
-</li>
-<li><p>Julia Slack &#40;<a href="https://slackinvite.julialang.org/">register here</a>&#41;, on the <a href="https://julialang.slack.com/messages/C689Y34LE/">#gpu channel</a></p>
-</li>
-</ul>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/learn/index.html b/previews/PR41/learn/index.html
deleted file mode 100644
index c9db2e9..0000000
--- a/previews/PR41/learn/index.html
+++ /dev/null
@@ -1,210 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-  
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>Learn ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-<!-- Content appended here -->
-
-<h1 id="learn"><a href="#learn" class="header-anchor">Learn</a></h1>
-<p>Currently, the Julia CUDA stack is the most mature, easiest to install, and full-featured. The <a href="https://cuda.juliagpu.org/stable/">CUDA.jl documentation</a> is a central place for information on all relevant packages. Start with the instructions on <a href="https://cuda.juliagpu.org/stable/installation/overview/">how to install</a> the stack, and follow with this <a href="https://cuda.juliagpu.org/stable/tutorials/introduction/">introductory tutorial</a>.</p>
-<p>If you prefer videos, the presentations below highlight different aspects of the toolchain.</p>
-<h2 id="concurrent_gpu_computing_in_cudajl_30"><a href="#concurrent_gpu_computing_in_cudajl_30" class="header-anchor">Concurrent GPU computing in CUDA.jl 3.0</a></h2>
-<p>Introduction to concurrent GPU computing:</p>
-<ul>
-<li><p>Overlapping GPU computations</p>
-</li>
-<li><p>Using multiple devices</p>
-</li>
-<li><p>Using threads</p>
-</li>
-</ul>
-<div style=position:relative;padding-bottom:56.25%;height:0;overflow:hidden>
-  <iframe
-    src=https://www.youtube.com/embed/fw0R5G8pB0U
-    style="position: absolute; top: 0; left: 0; width: 100%; height: 100%; border:0;"
-    allowfullscreen
-    title="YouTube Video">
-  </iframe>
-</div>
-
-<br/>
-<h2 id="effective_cuda_gpu_computing_in_julia"><a href="#effective_cuda_gpu_computing_in_julia" class="header-anchor">Effective CUDA GPU computing in Julia</a></h2>
-<ul>
-<li><p>Design and benefits of the Julia GPU stack</p>
-</li>
-<li><p>Composability with existing &#40;non-GPU&#41; software</p>
-</li>
-<li><p>Performance killers and tools for optimization</p>
-</li>
-<li><p>Demonstration</p>
-</li>
-</ul>
-<div style=position:relative;padding-bottom:56.25%;height:0;overflow:hidden>
-  <iframe
-    src=https://www.youtube.com/embed/7Yq1UyncDNc
-    style="position: absolute; top: 0; left: 0; width: 100%; height: 100%; border:0;"
-    allowfullscreen
-    title="YouTube Video">
-  </iframe>
-</div>
-
-<br/>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/libs/feather/feather.min.js b/previews/PR41/libs/feather/feather.min.js
deleted file mode 100644
index af22fcd..0000000
--- a/previews/PR41/libs/feather/feather.min.js
+++ /dev/null
@@ -1,13 +0,0 @@
-!function(e,n){"object"==typeof exports&&"object"==typeof module?module.exports=n():"function"==typeof define&&define.amd?define([],n):"object"==typeof exports?exports.feather=n():e.feather=n()}("undefined"!=typeof self?self:this,function(){return function(e){var n={};function i(l){if(n[l])return n[l].exports;var t=n[l]={i:l,l:!1,exports:{}};return e[l].call(t.exports,t,t.exports,i),t.l=!0,t.exports}return i.m=e,i.c=n,i.d=function(e,n,l){i.o(e,n)||Object.defineProperty(e,n,{configurable:!1,enumerable:!0,get:l})},i.r=function(e){Object.defineProperty(e,"__esModule",{value:!0})},i.n=function(e){var n=e&&e.__esModule?function(){return e.default}:function(){return e};return i.d(n,"a",n),n},i.o=function(e,n){return Object.prototype.hasOwnProperty.call(e,n)},i.p="",i(i.s=61)}([function(e,n,i){var l=i(20)("wks"),t=i(11),r=i(1).Symbol,o="function"==typeof r;(e.exports=function(e){return l[e]||(l[e]=o&&r[e]||(o?r:t)("Symbol."+e))}).store=l},function(e,n){var i=e.exports="undefined"!=typeof window&&window.Math==Math?window:"undefined"!=typeof self&&self.Math==Math?self:Function("return this")();"number"==typeof __g&&(__g=i)},function(e,n){var i=e.exports={version:"2.5.6"};"number"==typeof __e&&(__e=i)},function(e,n){var i={}.hasOwnProperty;e.exports=function(e,n){return i.call(e,n)}},function(e,n,i){e.exports=!i(27)(function(){return 7!=Object.defineProperty({},"a",{get:function(){return 7}}).a})},function(e,n,i){var l=i(13);e.exports=function(e){if(!l(e))throw TypeError(e+" is not an object!");return e}},function(e,n,i){var l=i(5),t=i(56),r=i(55),o=Object.defineProperty;n.f=i(4)?Object.defineProperty:function(e,n,i){if(l(e),n=r(n,!0),l(i),t)try{return o(e,n,i)}catch(e){}if("get"in i||"set"in i)throw TypeError("Accessors not supported!");return"value"in i&&(e[n]=i.value),e}},function(e,n,i){var l=i(6),t=i(12);e.exports=i(4)?function(e,n,i){return l.f(e,n,t(1,i))}:function(e,n,i){return e[n]=i,e}},function(e,n,i){"use strict";Object.defineProperty(n,"__esModule",{value:!0});var l=o(i(35)),t=o(i(33)),r=o(i(32));function o(e){return e&&e.__esModule?e:{default:e}}n.default=Object.keys(t.default).map(function(e){return new l.default(e,t.default[e],r.default[e])}).reduce(function(e,n){return e[n.name]=n,e},{})},function(e,n,i){var l=i(20)("keys"),t=i(11);e.exports=function(e){return l[e]||(l[e]=t(e))}},function(e,n){e.exports={}},function(e,n){var i=0,l=Math.random();e.exports=function(e){return"Symbol(".concat(void 0===e?"":e,")_",(++i+l).toString(36))}},function(e,n){e.exports=function(e,n){return{enumerable:!(1&e),configurable:!(2&e),writable:!(4&e),value:n}}},function(e,n){e.exports=function(e){return"object"==typeof e?null!==e:"function"==typeof e}},function(e,n){e.exports=function(e){if(void 0==e)throw TypeError("Can't call method on  "+e);return e}},function(e,n){var i=Math.ceil,l=Math.floor;e.exports=function(e){return isNaN(e=+e)?0:(e>0?l:i)(e)}},function(e,n,i){var l;
-/*!
-  Copyright (c) 2016 Jed Watson.
-  Licensed under the MIT License (MIT), see
-  http://jedwatson.github.io/classnames
-*/
-/*!
-  Copyright (c) 2016 Jed Watson.
-  Licensed under the MIT License (MIT), see
-  http://jedwatson.github.io/classnames
-*/
-!function(){"use strict";var i=function(){function e(){}function n(e,n){for(var i=n.length,l=0;l<i;++l)t(e,n[l])}e.prototype=Object.create(null);var i={}.hasOwnProperty;var l=/\s+/;function t(e,t){if(t){var r=typeof t;"string"===r?function(e,n){for(var i=n.split(l),t=i.length,r=0;r<t;++r)e[i[r]]=!0}(e,t):Array.isArray(t)?n(e,t):"object"===r?function(e,n){for(var l in n)i.call(n,l)&&(e[l]=!!n[l])}(e,t):"number"===r&&function(e,n){e[n]=!0}(e,t)}}return function(){for(var i=arguments.length,l=Array(i),t=0;t<i;t++)l[t]=arguments[t];var r=new e;n(r,l);var o=[];for(var a in r)r[a]&&o.push(a);return o.join(" ")}}();void 0!==e&&e.exports?e.exports=i:void 0===(l=function(){return i}.apply(n,[]))||(e.exports=l)}()},function(e,n,i){var l=i(14);e.exports=function(e){return Object(l(e))}},function(e,n,i){var l=i(6).f,t=i(3),r=i(0)("toStringTag");e.exports=function(e,n,i){e&&!t(e=i?e:e.prototype,r)&&l(e,r,{configurable:!0,value:n})}},function(e,n){e.exports="constructor,hasOwnProperty,isPrototypeOf,propertyIsEnumerable,toLocaleString,toString,valueOf".split(",")},function(e,n,i){var l=i(2),t=i(1),r=t["__core-js_shared__"]||(t["__core-js_shared__"]={});(e.exports=function(e,n){return r[e]||(r[e]=void 0!==n?n:{})})("versions",[]).push({version:l.version,mode:i(29)?"pure":"global",copyright:"© 2018 Denis Pushkarev (zloirock.ru)"})},function(e,n,i){var l=i(15),t=Math.min;e.exports=function(e){return e>0?t(l(e),9007199254740991):0}},function(e,n){var i={}.toString;e.exports=function(e){return i.call(e).slice(8,-1)}},function(e,n,i){var l=i(48),t=i(14);e.exports=function(e){return l(t(e))}},function(e,n,i){var l=i(54);e.exports=function(e,n,i){if(l(e),void 0===n)return e;switch(i){case 1:return function(i){return e.call(n,i)};case 2:return function(i,l){return e.call(n,i,l)};case 3:return function(i,l,t){return e.call(n,i,l,t)}}return function(){return e.apply(n,arguments)}}},function(e,n,i){var l=i(1),t=i(7),r=i(3),o=i(11)("src"),a=Function.toString,c=(""+a).split("toString");i(2).inspectSource=function(e){return a.call(e)},(e.exports=function(e,n,i,a){var y="function"==typeof i;y&&(r(i,"name")||t(i,"name",n)),e[n]!==i&&(y&&(r(i,o)||t(i,o,e[n]?""+e[n]:c.join(String(n)))),e===l?e[n]=i:a?e[n]?e[n]=i:t(e,n,i):(delete e[n],t(e,n,i)))})(Function.prototype,"toString",function(){return"function"==typeof this&&this[o]||a.call(this)})},function(e,n,i){var l=i(13),t=i(1).document,r=l(t)&&l(t.createElement);e.exports=function(e){return r?t.createElement(e):{}}},function(e,n){e.exports=function(e){try{return!!e()}catch(e){return!0}}},function(e,n,i){var l=i(1),t=i(2),r=i(7),o=i(25),a=i(24),c=function(e,n,i){var y,p,h,x,s=e&c.F,u=e&c.G,d=e&c.S,f=e&c.P,v=e&c.B,g=u?l:d?l[n]||(l[n]={}):(l[n]||{}).prototype,m=u?t:t[n]||(t[n]={}),M=m.prototype||(m.prototype={});for(y in u&&(i=n),i)h=((p=!s&&g&&void 0!==g[y])?g:i)[y],x=v&&p?a(h,l):f&&"function"==typeof h?a(Function.call,h):h,g&&o(g,y,h,e&c.U),m[y]!=h&&r(m,y,x),f&&M[y]!=h&&(M[y]=h)};l.core=t,c.F=1,c.G=2,c.S=4,c.P=8,c.B=16,c.W=32,c.U=64,c.R=128,e.exports=c},function(e,n){e.exports=!1},function(e,n,i){"use strict";Object.defineProperty(n,"__esModule",{value:!0});var l=Object.assign||function(e){for(var n=1;n<arguments.length;n++){var i=arguments[n];for(var l in i)Object.prototype.hasOwnProperty.call(i,l)&&(e[l]=i[l])}return e},t=o(i(16)),r=o(i(8));function o(e){return e&&e.__esModule?e:{default:e}}n.default=function(){var e=arguments.length>0&&void 0!==arguments[0]?arguments[0]:{};if("undefined"==typeof document)throw new Error("`feather.replace()` only works in a browser environment.");var n=document.querySelectorAll("[data-feather]");Array.from(n).forEach(function(n){return function(e){var n=arguments.length>1&&void 0!==arguments[1]?arguments[1]:{},i=function(e){return Array.from(e.attributes).reduce(function(e,n){return e[n.name]=n.value,e},{})}(e),o=i["data-feather"];delete i["data-feather"];var a=r.default[o].toSvg(l({},n,i,{class:(0,t.default)(n.class,i.class)})),c=(new DOMParser).parseFromString(a,"image/svg+xml").querySelector("svg");e.parentNode.replaceChild(c,e)}(n,e)})}},function(e,n,i){"use strict";Object.defineProperty(n,"__esModule",{value:!0});var l,t=i(8),r=(l=t)&&l.__esModule?l:{default:l};n.default=function(e){var n=arguments.length>1&&void 0!==arguments[1]?arguments[1]:{};if(console.warn("feather.toSvg() is deprecated. Please use feather.icons[name].toSvg() instead."),!e)throw new Error("The required `key` (icon name) parameter is missing.");if(!r.default[e])throw new Error("No icon matching '"+e+"'. See the complete list of icons at https://feathericons.com");return r.default[e].toSvg(n)}},function(e){e.exports={activity:["pulse","health","action","motion"],airplay:["stream","cast","mirroring"],"alert-circle":["warning"],"alert-octagon":["warning"],"alert-triangle":["warning"],"at-sign":["mention"],award:["achievement","badge"],aperture:["camera","photo"],bell:["alarm","notification"],"bell-off":["alarm","notification","silent"],bluetooth:["wireless"],"book-open":["read"],book:["read","dictionary","booklet","magazine"],bookmark:["read","clip","marker","tag"],briefcase:["work","bag","baggage","folder"],clipboard:["copy"],clock:["time","watch","alarm"],"cloud-drizzle":["weather","shower"],"cloud-lightning":["weather","bolt"],"cloud-rain":["weather"],"cloud-snow":["weather","blizzard"],cloud:["weather"],codepen:["logo"],coffee:["drink","cup","mug","tea","cafe","hot","beverage"],command:["keyboard","cmd"],compass:["navigation","safari","travel"],copy:["clone","duplicate"],"corner-down-left":["arrow"],"corner-down-right":["arrow"],"corner-left-down":["arrow"],"corner-left-up":["arrow"],"corner-right-down":["arrow"],"corner-right-up":["arrow"],"corner-up-left":["arrow"],"corner-up-right":["arrow"],"credit-card":["purchase","payment","cc"],crop:["photo","image"],crosshair:["aim","target"],database:["storage"],delete:["remove"],disc:["album","cd","dvd","music"],"dollar-sign":["currency","money","payment"],droplet:["water"],edit:["pencil","change"],"edit-2":["pencil","change"],"edit-3":["pencil","change"],eye:["view","watch"],"eye-off":["view","watch"],"external-link":["outbound"],facebook:["logo"],"fast-forward":["music"],film:["movie","video"],"folder-minus":["directory"],"folder-plus":["directory"],folder:["directory"],frown:["emoji","face","bad","sad","emotion"],gift:["present","box","birthday","party"],"git-branch":["code","version control"],"git-commit":["code","version control"],"git-merge":["code","version control"],"git-pull-request":["code","version control"],github:["logo","version control"],gitlab:["logo","version control"],global:["world","browser","language","translate"],"hard-drive":["computer","server"],hash:["hashtag","number","pound"],headphones:["music","audio"],heart:["like","love"],"help-circle":["question mark"],home:["house"],image:["picture"],inbox:["email"],instagram:["logo","camera"],"life-bouy":["help","life ring","support"],linkedin:["logo"],lock:["security","password"],"log-in":["sign in","arrow"],"log-out":["sign out","arrow"],mail:["email"],"map-pin":["location","navigation","travel","marker"],map:["location","navigation","travel"],maximize:["fullscreen"],"maximize-2":["fullscreen","arrows"],meh:["emoji","face","neutral","emotion"],menu:["bars","navigation","hamburger"],"message-circle":["comment","chat"],"message-square":["comment","chat"],"mic-off":["record"],mic:["record"],minimize:["exit fullscreen"],"minimize-2":["exit fullscreen","arrows"],monitor:["tv"],moon:["dark","night"],"more-horizontal":["ellipsis"],"more-vertical":["ellipsis"],move:["arrows"],navigation:["location","travel"],"navigation-2":["location","travel"],octagon:["stop"],package:["box"],paperclip:["attachment"],pause:["music","stop"],"pause-circle":["music","stop"],play:["music","start"],"play-circle":["music","start"],plus:["add","new"],"plus-circle":["add","new"],"plus-square":["add","new"],pocket:["logo","save"],power:["on","off"],radio:["signal"],rewind:["music"],rss:["feed","subscribe"],save:["floppy disk"],send:["message","mail","paper airplane"],settings:["cog","edit","gear","preferences"],shield:["security"],"shield-off":["security"],"shopping-bag":["ecommerce","cart","purchase","store"],"shopping-cart":["ecommerce","cart","purchase","store"],shuffle:["music"],"skip-back":["music"],"skip-forward":["music"],slash:["ban","no"],sliders:["settings","controls"],smile:["emoji","face","happy","good","emotion"],speaker:["music"],star:["bookmark","favorite","like"],sun:["brightness","weather","light"],sunrise:["weather"],sunset:["weather"],tag:["label"],target:["bullseye"],terminal:["code","command line"],"thumbs-down":["dislike","bad"],"thumbs-up":["like","good"],"toggle-left":["on","off","switch"],"toggle-right":["on","off","switch"],trash:["garbage","delete","remove"],"trash-2":["garbage","delete","remove"],triangle:["delta"],truck:["delivery","van","shipping"],twitter:["logo"],umbrella:["rain","weather"],"video-off":["camera","movie","film"],video:["camera","movie","film"],voicemail:["phone"],volume:["music","sound","mute"],"volume-1":["music","sound"],"volume-2":["music","sound"],"volume-x":["music","sound","mute"],watch:["clock","time"],wind:["weather","air"],"x-circle":["cancel","close","delete","remove","times"],"x-square":["cancel","close","delete","remove","times"],x:["cancel","close","delete","remove","times"],youtube:["logo","video","play"],"zap-off":["flash","camera","lightning"],zap:["flash","camera","lightning"]}},function(e){e.exports={activity:'<polyline points="22 12 18 12 15 21 9 3 6 12 2 12"></polyline>',airplay:'<path d="M5 17H4a2 2 0 0 1-2-2V5a2 2 0 0 1 2-2h16a2 2 0 0 1 2 2v10a2 2 0 0 1-2 2h-1"></path><polygon points="12 15 17 21 7 21 12 15"></polygon>',"alert-circle":'<circle cx="12" cy="12" r="10"></circle><line x1="12" y1="8" x2="12" y2="12"></line><line x1="12" y1="16" x2="12" y2="16"></line>',"alert-octagon":'<polygon points="7.86 2 16.14 2 22 7.86 22 16.14 16.14 22 7.86 22 2 16.14 2 7.86 7.86 2"></polygon><line x1="12" y1="8" x2="12" y2="12"></line><line x1="12" y1="16" x2="12" y2="16"></line>',"alert-triangle":'<path d="M10.29 3.86L1.82 18a2 2 0 0 0 1.71 3h16.94a2 2 0 0 0 1.71-3L13.71 3.86a2 2 0 0 0-3.42 0z"></path><line x1="12" y1="9" x2="12" y2="13"></line><line x1="12" y1="17" x2="12" y2="17"></line>',"align-center":'<line x1="18" y1="10" x2="6" y2="10"></line><line x1="21" y1="6" x2="3" y2="6"></line><line x1="21" y1="14" x2="3" y2="14"></line><line x1="18" y1="18" x2="6" y2="18"></line>',"align-justify":'<line x1="21" y1="10" x2="3" y2="10"></line><line x1="21" y1="6" x2="3" y2="6"></line><line x1="21" y1="14" x2="3" y2="14"></line><line x1="21" y1="18" x2="3" y2="18"></line>',"align-left":'<line x1="17" y1="10" x2="3" y2="10"></line><line x1="21" y1="6" x2="3" y2="6"></line><line x1="21" y1="14" x2="3" y2="14"></line><line x1="17" y1="18" x2="3" y2="18"></line>',"align-right":'<line x1="21" y1="10" x2="7" y2="10"></line><line x1="21" y1="6" x2="3" y2="6"></line><line x1="21" y1="14" x2="3" y2="14"></line><line x1="21" y1="18" x2="7" y2="18"></line>',anchor:'<circle cx="12" cy="5" r="3"></circle><line x1="12" y1="22" x2="12" y2="8"></line><path d="M5 12H2a10 10 0 0 0 20 0h-3"></path>',aperture:'<circle cx="12" cy="12" r="10"></circle><line x1="14.31" y1="8" x2="20.05" y2="17.94"></line><line x1="9.69" y1="8" x2="21.17" y2="8"></line><line x1="7.38" y1="12" x2="13.12" y2="2.06"></line><line x1="9.69" y1="16" x2="3.95" y2="6.06"></line><line x1="14.31" y1="16" x2="2.83" y2="16"></line><line x1="16.62" y1="12" x2="10.88" y2="21.94"></line>',archive:'<polyline points="21 8 21 21 3 21 3 8"></polyline><rect x="1" y="3" width="22" height="5"></rect><line x1="10" y1="12" x2="14" y2="12"></line>',"arrow-down-circle":'<circle cx="12" cy="12" r="10"></circle><polyline points="8 12 12 16 16 12"></polyline><line x1="12" y1="8" x2="12" y2="16"></line>',"arrow-down-left":'<line x1="17" y1="7" x2="7" y2="17"></line><polyline points="17 17 7 17 7 7"></polyline>',"arrow-down-right":'<line x1="7" y1="7" x2="17" y2="17"></line><polyline points="17 7 17 17 7 17"></polyline>',"arrow-down":'<line x1="12" y1="5" x2="12" y2="19"></line><polyline points="19 12 12 19 5 12"></polyline>',"arrow-left-circle":'<circle cx="12" cy="12" r="10"></circle><polyline points="12 8 8 12 12 16"></polyline><line x1="16" y1="12" x2="8" y2="12"></line>',"arrow-left":'<line x1="19" y1="12" x2="5" y2="12"></line><polyline points="12 19 5 12 12 5"></polyline>',"arrow-right-circle":'<circle cx="12" cy="12" r="10"></circle><polyline points="12 16 16 12 12 8"></polyline><line x1="8" y1="12" x2="16" y2="12"></line>',"arrow-right":'<line x1="5" y1="12" x2="19" y2="12"></line><polyline points="12 5 19 12 12 19"></polyline>',"arrow-up-circle":'<circle cx="12" cy="12" r="10"></circle><polyline points="16 12 12 8 8 12"></polyline><line x1="12" y1="16" x2="12" y2="8"></line>',"arrow-up-left":'<line x1="17" y1="17" x2="7" y2="7"></line><polyline points="7 17 7 7 17 7"></polyline>',"arrow-up-right":'<line x1="7" y1="17" x2="17" y2="7"></line><polyline points="7 7 17 7 17 17"></polyline>',"arrow-up":'<line x1="12" y1="19" x2="12" y2="5"></line><polyline points="5 12 12 5 19 12"></polyline>',"at-sign":'<circle cx="12" cy="12" r="4"></circle><path d="M16 8v5a3 3 0 0 0 6 0v-1a10 10 0 1 0-3.92 7.94"></path>',award:'<circle cx="12" cy="8" r="7"></circle><polyline points="8.21 13.89 7 23 12 20 17 23 15.79 13.88"></polyline>',"bar-chart-2":'<line x1="18" y1="20" x2="18" y2="10"></line><line x1="12" y1="20" x2="12" y2="4"></line><line x1="6" y1="20" x2="6" y2="14"></line>',"bar-chart":'<line x1="12" y1="20" x2="12" y2="10"></line><line x1="18" y1="20" x2="18" y2="4"></line><line x1="6" y1="20" x2="6" y2="16"></line>',"battery-charging":'<path d="M5 18H3a2 2 0 0 1-2-2V8a2 2 0 0 1 2-2h3.19M15 6h2a2 2 0 0 1 2 2v8a2 2 0 0 1-2 2h-3.19"></path><line x1="23" y1="13" x2="23" y2="11"></line><polyline points="11 6 7 12 13 12 9 18"></polyline>',battery:'<rect x="1" y="6" width="18" height="12" rx="2" ry="2"></rect><line x1="23" y1="13" x2="23" y2="11"></line>',"bell-off":'<path d="M8.56 2.9A7 7 0 0 1 19 9v4m-2 4H2a3 3 0 0 0 3-3V9a7 7 0 0 1 .78-3.22M13.73 21a2 2 0 0 1-3.46 0"></path><line x1="1" y1="1" x2="23" y2="23"></line>',bell:'<path d="M22 17H2a3 3 0 0 0 3-3V9a7 7 0 0 1 14 0v5a3 3 0 0 0 3 3zm-8.27 4a2 2 0 0 1-3.46 0"></path>',bluetooth:'<polyline points="6.5 6.5 17.5 17.5 12 23 12 1 17.5 6.5 6.5 17.5"></polyline>',bold:'<path d="M6 4h8a4 4 0 0 1 4 4 4 4 0 0 1-4 4H6z"></path><path d="M6 12h9a4 4 0 0 1 4 4 4 4 0 0 1-4 4H6z"></path>',"book-open":'<path d="M2 3h6a4 4 0 0 1 4 4v14a3 3 0 0 0-3-3H2z"></path><path d="M22 3h-6a4 4 0 0 0-4 4v14a3 3 0 0 1 3-3h7z"></path>',book:'<path d="M4 19.5A2.5 2.5 0 0 1 6.5 17H20"></path><path d="M6.5 2H20v20H6.5A2.5 2.5 0 0 1 4 19.5v-15A2.5 2.5 0 0 1 6.5 2z"></path>',bookmark:'<path d="M19 21l-7-5-7 5V5a2 2 0 0 1 2-2h10a2 2 0 0 1 2 2z"></path>',box:'<path d="M12.89 1.45l8 4A2 2 0 0 1 22 7.24v9.53a2 2 0 0 1-1.11 1.79l-8 4a2 2 0 0 1-1.79 0l-8-4a2 2 0 0 1-1.1-1.8V7.24a2 2 0 0 1 1.11-1.79l8-4a2 2 0 0 1 1.78 0z"></path><polyline points="2.32 6.16 12 11 21.68 6.16"></polyline><line x1="12" y1="22.76" x2="12" y2="11"></line>',briefcase:'<rect x="2" y="7" width="20" height="14" rx="2" ry="2"></rect><path d="M16 21V5a2 2 0 0 0-2-2h-4a2 2 0 0 0-2 2v16"></path>',calendar:'<rect x="3" y="4" width="18" height="18" rx="2" ry="2"></rect><line x1="16" y1="2" x2="16" y2="6"></line><line x1="8" y1="2" x2="8" y2="6"></line><line x1="3" y1="10" x2="21" y2="10"></line>',"camera-off":'<line x1="1" y1="1" x2="23" y2="23"></line><path d="M21 21H3a2 2 0 0 1-2-2V8a2 2 0 0 1 2-2h3m3-3h6l2 3h4a2 2 0 0 1 2 2v9.34m-7.72-2.06a4 4 0 1 1-5.56-5.56"></path>',camera:'<path d="M23 19a2 2 0 0 1-2 2H3a2 2 0 0 1-2-2V8a2 2 0 0 1 2-2h4l2-3h6l2 3h4a2 2 0 0 1 2 2z"></path><circle cx="12" cy="13" r="4"></circle>',cast:'<path d="M2 16.1A5 5 0 0 1 5.9 20M2 12.05A9 9 0 0 1 9.95 20M2 8V6a2 2 0 0 1 2-2h16a2 2 0 0 1 2 2v12a2 2 0 0 1-2 2h-6"></path><line x1="2" y1="20" x2="2" y2="20"></line>',"check-circle":'<path d="M22 11.08V12a10 10 0 1 1-5.93-9.14"></path><polyline points="22 4 12 14.01 9 11.01"></polyline>',"check-square":'<polyline points="9 11 12 14 22 4"></polyline><path d="M21 12v7a2 2 0 0 1-2 2H5a2 2 0 0 1-2-2V5a2 2 0 0 1 2-2h11"></path>',check:'<polyline points="20 6 9 17 4 12"></polyline>',"chevron-down":'<polyline points="6 9 12 15 18 9"></polyline>',"chevron-left":'<polyline points="15 18 9 12 15 6"></polyline>',"chevron-right":'<polyline points="9 18 15 12 9 6"></polyline>',"chevron-up":'<polyline points="18 15 12 9 6 15"></polyline>',"chevrons-down":'<polyline points="7 13 12 18 17 13"></polyline><polyline points="7 6 12 11 17 6"></polyline>',"chevrons-left":'<polyline points="11 17 6 12 11 7"></polyline><polyline points="18 17 13 12 18 7"></polyline>',"chevrons-right":'<polyline points="13 17 18 12 13 7"></polyline><polyline points="6 17 11 12 6 7"></polyline>',"chevrons-up":'<polyline points="17 11 12 6 7 11"></polyline><polyline points="17 18 12 13 7 18"></polyline>',chrome:'<circle cx="12" cy="12" r="10"></circle><circle cx="12" cy="12" r="4"></circle><line x1="21.17" y1="8" x2="12" y2="8"></line><line x1="3.95" y1="6.06" x2="8.54" y2="14"></line><line x1="10.88" y1="21.94" x2="15.46" y2="14"></line>',circle:'<circle cx="12" cy="12" r="10"></circle>',clipboard:'<path d="M16 4h2a2 2 0 0 1 2 2v14a2 2 0 0 1-2 2H6a2 2 0 0 1-2-2V6a2 2 0 0 1 2-2h2"></path><rect x="8" y="2" width="8" height="4" rx="1" ry="1"></rect>',clock:'<circle cx="12" cy="12" r="10"></circle><polyline points="12 6 12 12 16 14"></polyline>',"cloud-drizzle":'<line x1="8" y1="19" x2="8" y2="21"></line><line x1="8" y1="13" x2="8" y2="15"></line><line x1="16" y1="19" x2="16" y2="21"></line><line x1="16" y1="13" x2="16" y2="15"></line><line x1="12" y1="21" x2="12" y2="23"></line><line x1="12" y1="15" x2="12" y2="17"></line><path d="M20 16.58A5 5 0 0 0 18 7h-1.26A8 8 0 1 0 4 15.25"></path>',"cloud-lightning":'<path d="M19 16.9A5 5 0 0 0 18 7h-1.26a8 8 0 1 0-11.62 9"></path><polyline points="13 11 9 17 15 17 11 23"></polyline>',"cloud-off":'<path d="M22.61 16.95A5 5 0 0 0 18 10h-1.26a8 8 0 0 0-7.05-6M5 5a8 8 0 0 0 4 15h9a5 5 0 0 0 1.7-.3"></path><line x1="1" y1="1" x2="23" y2="23"></line>',"cloud-rain":'<line x1="16" y1="13" x2="16" y2="21"></line><line x1="8" y1="13" x2="8" y2="21"></line><line x1="12" y1="15" x2="12" y2="23"></line><path d="M20 16.58A5 5 0 0 0 18 7h-1.26A8 8 0 1 0 4 15.25"></path>',"cloud-snow":'<path d="M20 17.58A5 5 0 0 0 18 8h-1.26A8 8 0 1 0 4 16.25"></path><line x1="8" y1="16" x2="8" y2="16"></line><line x1="8" y1="20" x2="8" y2="20"></line><line x1="12" y1="18" x2="12" y2="18"></line><line x1="12" y1="22" x2="12" y2="22"></line><line x1="16" y1="16" x2="16" y2="16"></line><line x1="16" y1="20" x2="16" y2="20"></line>',cloud:'<path d="M18 10h-1.26A8 8 0 1 0 9 20h9a5 5 0 0 0 0-10z"></path>',code:'<polyline points="16 18 22 12 16 6"></polyline><polyline points="8 6 2 12 8 18"></polyline>',codepen:'<polygon points="12 2 22 8.5 22 15.5 12 22 2 15.5 2 8.5 12 2"></polygon><line x1="12" y1="22" x2="12" y2="15.5"></line><polyline points="22 8.5 12 15.5 2 8.5"></polyline><polyline points="2 15.5 12 8.5 22 15.5"></polyline><line x1="12" y1="2" x2="12" y2="8.5"></line>',coffee:'<path d="M18 8h1a4 4 0 0 1 0 8h-1"></path><path d="M2 8h16v9a4 4 0 0 1-4 4H6a4 4 0 0 1-4-4V8z"></path><line x1="6" y1="1" x2="6" y2="4"></line><line x1="10" y1="1" x2="10" y2="4"></line><line x1="14" y1="1" x2="14" y2="4"></line>',command:'<path d="M18 3a3 3 0 0 0-3 3v12a3 3 0 0 0 3 3 3 3 0 0 0 3-3 3 3 0 0 0-3-3H6a3 3 0 0 0-3 3 3 3 0 0 0 3 3 3 3 0 0 0 3-3V6a3 3 0 0 0-3-3 3 3 0 0 0-3 3 3 3 0 0 0 3 3h12a3 3 0 0 0 3-3 3 3 0 0 0-3-3z"></path>',compass:'<circle cx="12" cy="12" r="10"></circle><polygon points="16.24 7.76 14.12 14.12 7.76 16.24 9.88 9.88 16.24 7.76"></polygon>',copy:'<rect x="9" y="9" width="13" height="13" rx="2" ry="2"></rect><path d="M5 15H4a2 2 0 0 1-2-2V4a2 2 0 0 1 2-2h9a2 2 0 0 1 2 2v1"></path>',"corner-down-left":'<polyline points="9 10 4 15 9 20"></polyline><path d="M20 4v7a4 4 0 0 1-4 4H4"></path>',"corner-down-right":'<polyline points="15 10 20 15 15 20"></polyline><path d="M4 4v7a4 4 0 0 0 4 4h12"></path>',"corner-left-down":'<polyline points="14 15 9 20 4 15"></polyline><path d="M20 4h-7a4 4 0 0 0-4 4v12"></path>',"corner-left-up":'<polyline points="14 9 9 4 4 9"></polyline><path d="M20 20h-7a4 4 0 0 1-4-4V4"></path>',"corner-right-down":'<polyline points="10 15 15 20 20 15"></polyline><path d="M4 4h7a4 4 0 0 1 4 4v12"></path>',"corner-right-up":'<polyline points="10 9 15 4 20 9"></polyline><path d="M4 20h7a4 4 0 0 0 4-4V4"></path>',"corner-up-left":'<polyline points="9 14 4 9 9 4"></polyline><path d="M20 20v-7a4 4 0 0 0-4-4H4"></path>',"corner-up-right":'<polyline points="15 14 20 9 15 4"></polyline><path d="M4 20v-7a4 4 0 0 1 4-4h12"></path>',cpu:'<rect x="4" y="4" width="16" height="16" rx="2" ry="2"></rect><rect x="9" y="9" width="6" height="6"></rect><line x1="9" y1="1" x2="9" y2="4"></line><line x1="15" y1="1" x2="15" y2="4"></line><line x1="9" y1="20" x2="9" y2="23"></line><line x1="15" y1="20" x2="15" y2="23"></line><line x1="20" y1="9" x2="23" y2="9"></line><line x1="20" y1="14" x2="23" y2="14"></line><line x1="1" y1="9" x2="4" y2="9"></line><line x1="1" y1="14" x2="4" y2="14"></line>',"credit-card":'<rect x="1" y="4" width="22" height="16" rx="2" ry="2"></rect><line x1="1" y1="10" x2="23" y2="10"></line>',crop:'<path d="M6.13 1L6 16a2 2 0 0 0 2 2h15"></path><path d="M1 6.13L16 6a2 2 0 0 1 2 2v15"></path>',crosshair:'<circle cx="12" cy="12" r="10"></circle><line x1="22" y1="12" x2="18" y2="12"></line><line x1="6" y1="12" x2="2" y2="12"></line><line x1="12" y1="6" x2="12" y2="2"></line><line x1="12" y1="22" x2="12" y2="18"></line>',database:'<ellipse cx="12" cy="5" rx="9" ry="3"></ellipse><path d="M21 12c0 1.66-4 3-9 3s-9-1.34-9-3"></path><path d="M3 5v14c0 1.66 4 3 9 3s9-1.34 9-3V5"></path>',delete:'<path d="M21 4H8l-7 8 7 8h13a2 2 0 0 0 2-2V6a2 2 0 0 0-2-2z"></path><line x1="18" y1="9" x2="12" y2="15"></line><line x1="12" y1="9" x2="18" y2="15"></line>',disc:'<circle cx="12" cy="12" r="10"></circle><circle cx="12" cy="12" r="3"></circle>',"dollar-sign":'<line x1="12" y1="1" x2="12" y2="23"></line><path d="M17 5H9.5a3.5 3.5 0 0 0 0 7h5a3.5 3.5 0 0 1 0 7H6"></path>',"download-cloud":'<polyline points="8 17 12 21 16 17"></polyline><line x1="12" y1="12" x2="12" y2="21"></line><path d="M20.88 18.09A5 5 0 0 0 18 9h-1.26A8 8 0 1 0 3 16.29"></path>',download:'<path d="M21 15v4a2 2 0 0 1-2 2H5a2 2 0 0 1-2-2v-4"></path><polyline points="7 10 12 15 17 10"></polyline><line x1="12" y1="15" x2="12" y2="3"></line>',droplet:'<path d="M12 2.69l5.66 5.66a8 8 0 1 1-11.31 0z"></path>',"edit-2":'<polygon points="16 3 21 8 8 21 3 21 3 16 16 3"></polygon>',"edit-3":'<polygon points="14 2 18 6 7 17 3 17 3 13 14 2"></polygon><line x1="3" y1="22" x2="21" y2="22"></line>',edit:'<path d="M20 14.66V20a2 2 0 0 1-2 2H4a2 2 0 0 1-2-2V6a2 2 0 0 1 2-2h5.34"></path><polygon points="18 2 22 6 12 16 8 16 8 12 18 2"></polygon>',"external-link":'<path d="M18 13v6a2 2 0 0 1-2 2H5a2 2 0 0 1-2-2V8a2 2 0 0 1 2-2h6"></path><polyline points="15 3 21 3 21 9"></polyline><line x1="10" y1="14" x2="21" y2="3"></line>',"eye-off":'<path d="M17.94 17.94A10.07 10.07 0 0 1 12 20c-7 0-11-8-11-8a18.45 18.45 0 0 1 5.06-5.94M9.9 4.24A9.12 9.12 0 0 1 12 4c7 0 11 8 11 8a18.5 18.5 0 0 1-2.16 3.19m-6.72-1.07a3 3 0 1 1-4.24-4.24"></path><line x1="1" y1="1" x2="23" y2="23"></line>',eye:'<path d="M1 12s4-8 11-8 11 8 11 8-4 8-11 8-11-8-11-8z"></path><circle cx="12" cy="12" r="3"></circle>',facebook:'<path d="M18 2h-3a5 5 0 0 0-5 5v3H7v4h3v8h4v-8h3l1-4h-4V7a1 1 0 0 1 1-1h3z"></path>',"fast-forward":'<polygon points="13 19 22 12 13 5 13 19"></polygon><polygon points="2 19 11 12 2 5 2 19"></polygon>',feather:'<path d="M20.24 12.24a6 6 0 0 0-8.49-8.49L5 10.5V19h8.5z"></path><line x1="16" y1="8" x2="2" y2="22"></line><line x1="17.5" y1="15" x2="9" y2="15"></line>',"file-minus":'<path d="M14 2H6a2 2 0 0 0-2 2v16a2 2 0 0 0 2 2h12a2 2 0 0 0 2-2V8z"></path><polyline points="14 2 14 8 20 8"></polyline><line x1="9" y1="15" x2="15" y2="15"></line>',"file-plus":'<path d="M14 2H6a2 2 0 0 0-2 2v16a2 2 0 0 0 2 2h12a2 2 0 0 0 2-2V8z"></path><polyline points="14 2 14 8 20 8"></polyline><line x1="12" y1="18" x2="12" y2="12"></line><line x1="9" y1="15" x2="15" y2="15"></line>',"file-text":'<path d="M14 2H6a2 2 0 0 0-2 2v16a2 2 0 0 0 2 2h12a2 2 0 0 0 2-2V8z"></path><polyline points="14 2 14 8 20 8"></polyline><line x1="16" y1="13" x2="8" y2="13"></line><line x1="16" y1="17" x2="8" y2="17"></line><polyline points="10 9 9 9 8 9"></polyline>',file:'<path d="M13 2H6a2 2 0 0 0-2 2v16a2 2 0 0 0 2 2h12a2 2 0 0 0 2-2V9z"></path><polyline points="13 2 13 9 20 9"></polyline>',film:'<rect x="2" y="2" width="20" height="20" rx="2.18" ry="2.18"></rect><line x1="7" y1="2" x2="7" y2="22"></line><line x1="17" y1="2" x2="17" y2="22"></line><line x1="2" y1="12" x2="22" y2="12"></line><line x1="2" y1="7" x2="7" y2="7"></line><line x1="2" y1="17" x2="7" y2="17"></line><line x1="17" y1="17" x2="22" y2="17"></line><line x1="17" y1="7" x2="22" y2="7"></line>',filter:'<polygon points="22 3 2 3 10 12.46 10 19 14 21 14 12.46 22 3"></polygon>',flag:'<path d="M4 15s1-1 4-1 5 2 8 2 4-1 4-1V3s-1 1-4 1-5-2-8-2-4 1-4 1z"></path><line x1="4" y1="22" x2="4" y2="15"></line>',"folder-minus":'<path d="M22 19a2 2 0 0 1-2 2H4a2 2 0 0 1-2-2V5a2 2 0 0 1 2-2h5l2 3h9a2 2 0 0 1 2 2z"></path><line x1="9" y1="14" x2="15" y2="14"></line>',"folder-plus":'<path d="M22 19a2 2 0 0 1-2 2H4a2 2 0 0 1-2-2V5a2 2 0 0 1 2-2h5l2 3h9a2 2 0 0 1 2 2z"></path><line x1="12" y1="11" x2="12" y2="17"></line><line x1="9" y1="14" x2="15" y2="14"></line>',folder:'<path d="M22 19a2 2 0 0 1-2 2H4a2 2 0 0 1-2-2V5a2 2 0 0 1 2-2h5l2 3h9a2 2 0 0 1 2 2z"></path>',frown:'<circle cx="12" cy="12" r="10"></circle><path d="M16 16s-1.5-2-4-2-4 2-4 2"></path><line x1="9" y1="9" x2="9.01" y2="9"></line><line x1="15" y1="9" x2="15.01" y2="9"></line>',gift:'<polyline points="20 12 20 22 4 22 4 12"></polyline><rect x="2" y="7" width="20" height="5"></rect><line x1="12" y1="22" x2="12" y2="7"></line><path d="M12 7H7.5a2.5 2.5 0 0 1 0-5C11 2 12 7 12 7z"></path><path d="M12 7h4.5a2.5 2.5 0 0 0 0-5C13 2 12 7 12 7z"></path>',"git-branch":'<line x1="6" y1="3" x2="6" y2="15"></line><circle cx="18" cy="6" r="3"></circle><circle cx="6" cy="18" r="3"></circle><path d="M18 9a9 9 0 0 1-9 9"></path>',"git-commit":'<circle cx="12" cy="12" r="4"></circle><line x1="1.05" y1="12" x2="7" y2="12"></line><line x1="17.01" y1="12" x2="22.96" y2="12"></line>',"git-merge":'<circle cx="18" cy="18" r="3"></circle><circle cx="6" cy="6" r="3"></circle><path d="M6 21V9a9 9 0 0 0 9 9"></path>',"git-pull-request":'<circle cx="18" cy="18" r="3"></circle><circle cx="6" cy="6" r="3"></circle><path d="M13 6h3a2 2 0 0 1 2 2v7"></path><line x1="6" y1="9" x2="6" y2="21"></line>',github:'<path d="M9 19c-5 1.5-5-2.5-7-3m14 6v-3.87a3.37 3.37 0 0 0-.94-2.61c3.14-.35 6.44-1.54 6.44-7A5.44 5.44 0 0 0 20 4.77 5.07 5.07 0 0 0 19.91 1S18.73.65 16 2.48a13.38 13.38 0 0 0-7 0C6.27.65 5.09 1 5.09 1A5.07 5.07 0 0 0 5 4.77a5.44 5.44 0 0 0-1.5 3.78c0 5.42 3.3 6.61 6.44 7A3.37 3.37 0 0 0 9 18.13V22"></path>',gitlab:'<path d="M22.65 14.39L12 22.13 1.35 14.39a.84.84 0 0 1-.3-.94l1.22-3.78 2.44-7.51A.42.42 0 0 1 4.82 2a.43.43 0 0 1 .58 0 .42.42 0 0 1 .11.18l2.44 7.49h8.1l2.44-7.51A.42.42 0 0 1 18.6 2a.43.43 0 0 1 .58 0 .42.42 0 0 1 .11.18l2.44 7.51L23 13.45a.84.84 0 0 1-.35.94z"></path>',globe:'<circle cx="12" cy="12" r="10"></circle><line x1="2" y1="12" x2="22" y2="12"></line><path d="M12 2a15.3 15.3 0 0 1 4 10 15.3 15.3 0 0 1-4 10 15.3 15.3 0 0 1-4-10 15.3 15.3 0 0 1 4-10z"></path>',grid:'<rect x="3" y="3" width="7" height="7"></rect><rect x="14" y="3" width="7" height="7"></rect><rect x="14" y="14" width="7" height="7"></rect><rect x="3" y="14" width="7" height="7"></rect>',"hard-drive":'<line x1="22" y1="12" x2="2" y2="12"></line><path d="M5.45 5.11L2 12v6a2 2 0 0 0 2 2h16a2 2 0 0 0 2-2v-6l-3.45-6.89A2 2 0 0 0 16.76 4H7.24a2 2 0 0 0-1.79 1.11z"></path><line x1="6" y1="16" x2="6" y2="16"></line><line x1="10" y1="16" x2="10" y2="16"></line>',hash:'<line x1="4" y1="9" x2="20" y2="9"></line><line x1="4" y1="15" x2="20" y2="15"></line><line x1="10" y1="3" x2="8" y2="21"></line><line x1="16" y1="3" x2="14" y2="21"></line>',headphones:'<path d="M3 18v-6a9 9 0 0 1 18 0v6"></path><path d="M21 19a2 2 0 0 1-2 2h-1a2 2 0 0 1-2-2v-3a2 2 0 0 1 2-2h3zM3 19a2 2 0 0 0 2 2h1a2 2 0 0 0 2-2v-3a2 2 0 0 0-2-2H3z"></path>',heart:'<path d="M20.84 4.61a5.5 5.5 0 0 0-7.78 0L12 5.67l-1.06-1.06a5.5 5.5 0 0 0-7.78 7.78l1.06 1.06L12 21.23l7.78-7.78 1.06-1.06a5.5 5.5 0 0 0 0-7.78z"></path>',"help-circle":'<circle cx="12" cy="12" r="10"></circle><path d="M9.09 9a3 3 0 0 1 5.83 1c0 2-3 3-3 3"></path><line x1="12" y1="17" x2="12" y2="17"></line>',home:'<path d="M3 9l9-7 9 7v11a2 2 0 0 1-2 2H5a2 2 0 0 1-2-2z"></path><polyline points="9 22 9 12 15 12 15 22"></polyline>',image:'<rect x="3" y="3" width="18" height="18" rx="2" ry="2"></rect><circle cx="8.5" cy="8.5" r="1.5"></circle><polyline points="21 15 16 10 5 21"></polyline>',inbox:'<polyline points="22 12 16 12 14 15 10 15 8 12 2 12"></polyline><path d="M5.45 5.11L2 12v6a2 2 0 0 0 2 2h16a2 2 0 0 0 2-2v-6l-3.45-6.89A2 2 0 0 0 16.76 4H7.24a2 2 0 0 0-1.79 1.11z"></path>',info:'<circle cx="12" cy="12" r="10"></circle><line x1="12" y1="16" x2="12" y2="12"></line><line x1="12" y1="8" x2="12" y2="8"></line>',instagram:'<rect x="2" y="2" width="20" height="20" rx="5" ry="5"></rect><path d="M16 11.37A4 4 0 1 1 12.63 8 4 4 0 0 1 16 11.37z"></path><line x1="17.5" y1="6.5" x2="17.5" y2="6.5"></line>',italic:'<line x1="19" y1="4" x2="10" y2="4"></line><line x1="14" y1="20" x2="5" y2="20"></line><line x1="15" y1="4" x2="9" y2="20"></line>',layers:'<polygon points="12 2 2 7 12 12 22 7 12 2"></polygon><polyline points="2 17 12 22 22 17"></polyline><polyline points="2 12 12 17 22 12"></polyline>',layout:'<rect x="3" y="3" width="18" height="18" rx="2" ry="2"></rect><line x1="3" y1="9" x2="21" y2="9"></line><line x1="9" y1="21" x2="9" y2="9"></line>',"life-buoy":'<circle cx="12" cy="12" r="10"></circle><circle cx="12" cy="12" r="4"></circle><line x1="4.93" y1="4.93" x2="9.17" y2="9.17"></line><line x1="14.83" y1="14.83" x2="19.07" y2="19.07"></line><line x1="14.83" y1="9.17" x2="19.07" y2="4.93"></line><line x1="14.83" y1="9.17" x2="18.36" y2="5.64"></line><line x1="4.93" y1="19.07" x2="9.17" y2="14.83"></line>',"link-2":'<path d="M15 7h3a5 5 0 0 1 5 5 5 5 0 0 1-5 5h-3m-6 0H6a5 5 0 0 1-5-5 5 5 0 0 1 5-5h3"></path><line x1="8" y1="12" x2="16" y2="12"></line>',link:'<path d="M10 13a5 5 0 0 0 7.54.54l3-3a5 5 0 0 0-7.07-7.07l-1.72 1.71"></path><path d="M14 11a5 5 0 0 0-7.54-.54l-3 3a5 5 0 0 0 7.07 7.07l1.71-1.71"></path>',linkedin:'<path d="M16 8a6 6 0 0 1 6 6v7h-4v-7a2 2 0 0 0-2-2 2 2 0 0 0-2 2v7h-4v-7a6 6 0 0 1 6-6z"></path><rect x="2" y="9" width="4" height="12"></rect><circle cx="4" cy="4" r="2"></circle>',list:'<line x1="8" y1="6" x2="21" y2="6"></line><line x1="8" y1="12" x2="21" y2="12"></line><line x1="8" y1="18" x2="21" y2="18"></line><line x1="3" y1="6" x2="3" y2="6"></line><line x1="3" y1="12" x2="3" y2="12"></line><line x1="3" y1="18" x2="3" y2="18"></line>',loader:'<line x1="12" y1="2" x2="12" y2="6"></line><line x1="12" y1="18" x2="12" y2="22"></line><line x1="4.93" y1="4.93" x2="7.76" y2="7.76"></line><line x1="16.24" y1="16.24" x2="19.07" y2="19.07"></line><line x1="2" y1="12" x2="6" y2="12"></line><line x1="18" y1="12" x2="22" y2="12"></line><line x1="4.93" y1="19.07" x2="7.76" y2="16.24"></line><line x1="16.24" y1="7.76" x2="19.07" y2="4.93"></line>',lock:'<rect x="3" y="11" width="18" height="11" rx="2" ry="2"></rect><path d="M7 11V7a5 5 0 0 1 10 0v4"></path>',"log-in":'<path d="M15 3h4a2 2 0 0 1 2 2v14a2 2 0 0 1-2 2h-4"></path><polyline points="10 17 15 12 10 7"></polyline><line x1="15" y1="12" x2="3" y2="12"></line>',"log-out":'<path d="M9 21H5a2 2 0 0 1-2-2V5a2 2 0 0 1 2-2h4"></path><polyline points="16 17 21 12 16 7"></polyline><line x1="21" y1="12" x2="9" y2="12"></line>',mail:'<path d="M4 4h16c1.1 0 2 .9 2 2v12c0 1.1-.9 2-2 2H4c-1.1 0-2-.9-2-2V6c0-1.1.9-2 2-2z"></path><polyline points="22,6 12,13 2,6"></polyline>',"map-pin":'<path d="M21 10c0 7-9 13-9 13s-9-6-9-13a9 9 0 0 1 18 0z"></path><circle cx="12" cy="10" r="3"></circle>',map:'<polygon points="1 6 1 22 8 18 16 22 23 18 23 2 16 6 8 2 1 6"></polygon><line x1="8" y1="2" x2="8" y2="18"></line><line x1="16" y1="6" x2="16" y2="22"></line>',"maximize-2":'<polyline points="15 3 21 3 21 9"></polyline><polyline points="9 21 3 21 3 15"></polyline><line x1="21" y1="3" x2="14" y2="10"></line><line x1="3" y1="21" x2="10" y2="14"></line>',maximize:'<path d="M8 3H5a2 2 0 0 0-2 2v3m18 0V5a2 2 0 0 0-2-2h-3m0 18h3a2 2 0 0 0 2-2v-3M3 16v3a2 2 0 0 0 2 2h3"></path>',meh:'<circle cx="12" cy="12" r="10"></circle><line x1="8" y1="15" x2="16" y2="15"></line><line x1="9" y1="9" x2="9.01" y2="9"></line><line x1="15" y1="9" x2="15.01" y2="9"></line>',menu:'<line x1="3" y1="12" x2="21" y2="12"></line><line x1="3" y1="6" x2="21" y2="6"></line><line x1="3" y1="18" x2="21" y2="18"></line>',"message-circle":'<path d="M21 11.5a8.38 8.38 0 0 1-.9 3.8 8.5 8.5 0 0 1-7.6 4.7 8.38 8.38 0 0 1-3.8-.9L3 21l1.9-5.7a8.38 8.38 0 0 1-.9-3.8 8.5 8.5 0 0 1 4.7-7.6 8.38 8.38 0 0 1 3.8-.9h.5a8.48 8.48 0 0 1 8 8v.5z"></path>',"message-square":'<path d="M21 15a2 2 0 0 1-2 2H7l-4 4V5a2 2 0 0 1 2-2h14a2 2 0 0 1 2 2z"></path>',"mic-off":'<line x1="1" y1="1" x2="23" y2="23"></line><path d="M9 9v3a3 3 0 0 0 5.12 2.12M15 9.34V4a3 3 0 0 0-5.94-.6"></path><path d="M17 16.95A7 7 0 0 1 5 12v-2m14 0v2a7 7 0 0 1-.11 1.23"></path><line x1="12" y1="19" x2="12" y2="23"></line><line x1="8" y1="23" x2="16" y2="23"></line>',mic:'<path d="M12 1a3 3 0 0 0-3 3v8a3 3 0 0 0 6 0V4a3 3 0 0 0-3-3z"></path><path d="M19 10v2a7 7 0 0 1-14 0v-2"></path><line x1="12" y1="19" x2="12" y2="23"></line><line x1="8" y1="23" x2="16" y2="23"></line>',"minimize-2":'<polyline points="4 14 10 14 10 20"></polyline><polyline points="20 10 14 10 14 4"></polyline><line x1="14" y1="10" x2="21" y2="3"></line><line x1="3" y1="21" x2="10" y2="14"></line>',minimize:'<path d="M8 3v3a2 2 0 0 1-2 2H3m18 0h-3a2 2 0 0 1-2-2V3m0 18v-3a2 2 0 0 1 2-2h3M3 16h3a2 2 0 0 1 2 2v3"></path>',"minus-circle":'<circle cx="12" cy="12" r="10"></circle><line x1="8" y1="12" x2="16" y2="12"></line>',"minus-square":'<rect x="3" y="3" width="18" height="18" rx="2" ry="2"></rect><line x1="8" y1="12" x2="16" y2="12"></line>',minus:'<line x1="5" y1="12" x2="19" y2="12"></line>',monitor:'<rect x="2" y="3" width="20" height="14" rx="2" ry="2"></rect><line x1="8" y1="21" x2="16" y2="21"></line><line x1="12" y1="17" x2="12" y2="21"></line>',moon:'<path d="M21 12.79A9 9 0 1 1 11.21 3 7 7 0 0 0 21 12.79z"></path>',"more-horizontal":'<circle cx="12" cy="12" r="1"></circle><circle cx="19" cy="12" r="1"></circle><circle cx="5" cy="12" r="1"></circle>',"more-vertical":'<circle cx="12" cy="12" r="1"></circle><circle cx="12" cy="5" r="1"></circle><circle cx="12" cy="19" r="1"></circle>',move:'<polyline points="5 9 2 12 5 15"></polyline><polyline points="9 5 12 2 15 5"></polyline><polyline points="15 19 12 22 9 19"></polyline><polyline points="19 9 22 12 19 15"></polyline><line x1="2" y1="12" x2="22" y2="12"></line><line x1="12" y1="2" x2="12" y2="22"></line>',music:'<path d="M9 17H5a2 2 0 0 0-2 2 2 2 0 0 0 2 2h2a2 2 0 0 0 2-2zm12-2h-4a2 2 0 0 0-2 2 2 2 0 0 0 2 2h2a2 2 0 0 0 2-2z"></path><polyline points="9 17 9 5 21 3 21 15"></polyline>',"navigation-2":'<polygon points="12 2 19 21 12 17 5 21 12 2"></polygon>',navigation:'<polygon points="3 11 22 2 13 21 11 13 3 11"></polygon>',octagon:'<polygon points="7.86 2 16.14 2 22 7.86 22 16.14 16.14 22 7.86 22 2 16.14 2 7.86 7.86 2"></polygon>',package:'<path d="M12.89 1.45l8 4A2 2 0 0 1 22 7.24v9.53a2 2 0 0 1-1.11 1.79l-8 4a2 2 0 0 1-1.79 0l-8-4a2 2 0 0 1-1.1-1.8V7.24a2 2 0 0 1 1.11-1.79l8-4a2 2 0 0 1 1.78 0z"></path><polyline points="2.32 6.16 12 11 21.68 6.16"></polyline><line x1="12" y1="22.76" x2="12" y2="11"></line><line x1="7" y1="3.5" x2="17" y2="8.5"></line>',paperclip:'<path d="M21.44 11.05l-9.19 9.19a6 6 0 0 1-8.49-8.49l9.19-9.19a4 4 0 0 1 5.66 5.66l-9.2 9.19a2 2 0 0 1-2.83-2.83l8.49-8.48"></path>',"pause-circle":'<circle cx="12" cy="12" r="10"></circle><line x1="10" y1="15" x2="10" y2="9"></line><line x1="14" y1="15" x2="14" y2="9"></line>',pause:'<rect x="6" y="4" width="4" height="16"></rect><rect x="14" y="4" width="4" height="16"></rect>',percent:'<line x1="19" y1="5" x2="5" y2="19"></line><circle cx="6.5" cy="6.5" r="2.5"></circle><circle cx="17.5" cy="17.5" r="2.5"></circle>',"phone-call":'<path d="M15.05 5A5 5 0 0 1 19 8.95M15.05 1A9 9 0 0 1 23 8.94m-1 7.98v3a2 2 0 0 1-2.18 2 19.79 19.79 0 0 1-8.63-3.07 19.5 19.5 0 0 1-6-6 19.79 19.79 0 0 1-3.07-8.67A2 2 0 0 1 4.11 2h3a2 2 0 0 1 2 1.72 12.84 12.84 0 0 0 .7 2.81 2 2 0 0 1-.45 2.11L8.09 9.91a16 16 0 0 0 6 6l1.27-1.27a2 2 0 0 1 2.11-.45 12.84 12.84 0 0 0 2.81.7A2 2 0 0 1 22 16.92z"></path>',"phone-forwarded":'<polyline points="19 1 23 5 19 9"></polyline><line x1="15" y1="5" x2="23" y2="5"></line><path d="M22 16.92v3a2 2 0 0 1-2.18 2 19.79 19.79 0 0 1-8.63-3.07 19.5 19.5 0 0 1-6-6 19.79 19.79 0 0 1-3.07-8.67A2 2 0 0 1 4.11 2h3a2 2 0 0 1 2 1.72 12.84 12.84 0 0 0 .7 2.81 2 2 0 0 1-.45 2.11L8.09 9.91a16 16 0 0 0 6 6l1.27-1.27a2 2 0 0 1 2.11-.45 12.84 12.84 0 0 0 2.81.7A2 2 0 0 1 22 16.92z"></path>',"phone-incoming":'<polyline points="16 2 16 8 22 8"></polyline><line x1="23" y1="1" x2="16" y2="8"></line><path d="M22 16.92v3a2 2 0 0 1-2.18 2 19.79 19.79 0 0 1-8.63-3.07 19.5 19.5 0 0 1-6-6 19.79 19.79 0 0 1-3.07-8.67A2 2 0 0 1 4.11 2h3a2 2 0 0 1 2 1.72 12.84 12.84 0 0 0 .7 2.81 2 2 0 0 1-.45 2.11L8.09 9.91a16 16 0 0 0 6 6l1.27-1.27a2 2 0 0 1 2.11-.45 12.84 12.84 0 0 0 2.81.7A2 2 0 0 1 22 16.92z"></path>',"phone-missed":'<line x1="23" y1="1" x2="17" y2="7"></line><line x1="17" y1="1" x2="23" y2="7"></line><path d="M22 16.92v3a2 2 0 0 1-2.18 2 19.79 19.79 0 0 1-8.63-3.07 19.5 19.5 0 0 1-6-6 19.79 19.79 0 0 1-3.07-8.67A2 2 0 0 1 4.11 2h3a2 2 0 0 1 2 1.72 12.84 12.84 0 0 0 .7 2.81 2 2 0 0 1-.45 2.11L8.09 9.91a16 16 0 0 0 6 6l1.27-1.27a2 2 0 0 1 2.11-.45 12.84 12.84 0 0 0 2.81.7A2 2 0 0 1 22 16.92z"></path>',"phone-off":'<path d="M10.68 13.31a16 16 0 0 0 3.41 2.6l1.27-1.27a2 2 0 0 1 2.11-.45 12.84 12.84 0 0 0 2.81.7 2 2 0 0 1 1.72 2v3a2 2 0 0 1-2.18 2 19.79 19.79 0 0 1-8.63-3.07 19.42 19.42 0 0 1-3.33-2.67m-2.67-3.34a19.79 19.79 0 0 1-3.07-8.63A2 2 0 0 1 4.11 2h3a2 2 0 0 1 2 1.72 12.84 12.84 0 0 0 .7 2.81 2 2 0 0 1-.45 2.11L8.09 9.91"></path><line x1="23" y1="1" x2="1" y2="23"></line>',"phone-outgoing":'<polyline points="23 7 23 1 17 1"></polyline><line x1="16" y1="8" x2="23" y2="1"></line><path d="M22 16.92v3a2 2 0 0 1-2.18 2 19.79 19.79 0 0 1-8.63-3.07 19.5 19.5 0 0 1-6-6 19.79 19.79 0 0 1-3.07-8.67A2 2 0 0 1 4.11 2h3a2 2 0 0 1 2 1.72 12.84 12.84 0 0 0 .7 2.81 2 2 0 0 1-.45 2.11L8.09 9.91a16 16 0 0 0 6 6l1.27-1.27a2 2 0 0 1 2.11-.45 12.84 12.84 0 0 0 2.81.7A2 2 0 0 1 22 16.92z"></path>',phone:'<path d="M22 16.92v3a2 2 0 0 1-2.18 2 19.79 19.79 0 0 1-8.63-3.07 19.5 19.5 0 0 1-6-6 19.79 19.79 0 0 1-3.07-8.67A2 2 0 0 1 4.11 2h3a2 2 0 0 1 2 1.72 12.84 12.84 0 0 0 .7 2.81 2 2 0 0 1-.45 2.11L8.09 9.91a16 16 0 0 0 6 6l1.27-1.27a2 2 0 0 1 2.11-.45 12.84 12.84 0 0 0 2.81.7A2 2 0 0 1 22 16.92z"></path>',"pie-chart":'<path d="M21.21 15.89A10 10 0 1 1 8 2.83"></path><path d="M22 12A10 10 0 0 0 12 2v10z"></path>',"play-circle":'<circle cx="12" cy="12" r="10"></circle><polygon points="10 8 16 12 10 16 10 8"></polygon>',play:'<polygon points="5 3 19 12 5 21 5 3"></polygon>',"plus-circle":'<circle cx="12" cy="12" r="10"></circle><line x1="12" y1="8" x2="12" y2="16"></line><line x1="8" y1="12" x2="16" y2="12"></line>',"plus-square":'<rect x="3" y="3" width="18" height="18" rx="2" ry="2"></rect><line x1="12" y1="8" x2="12" y2="16"></line><line x1="8" y1="12" x2="16" y2="12"></line>',plus:'<line x1="12" y1="5" x2="12" y2="19"></line><line x1="5" y1="12" x2="19" y2="12"></line>',pocket:'<path d="M4 3h16a2 2 0 0 1 2 2v6a10 10 0 0 1-10 10A10 10 0 0 1 2 11V5a2 2 0 0 1 2-2z"></path><polyline points="8 10 12 14 16 10"></polyline>',power:'<path d="M18.36 6.64a9 9 0 1 1-12.73 0"></path><line x1="12" y1="2" x2="12" y2="12"></line>',printer:'<polyline points="6 9 6 2 18 2 18 9"></polyline><path d="M6 18H4a2 2 0 0 1-2-2v-5a2 2 0 0 1 2-2h16a2 2 0 0 1 2 2v5a2 2 0 0 1-2 2h-2"></path><rect x="6" y="14" width="12" height="8"></rect>',radio:'<circle cx="12" cy="12" r="2"></circle><path d="M16.24 7.76a6 6 0 0 1 0 8.49m-8.48-.01a6 6 0 0 1 0-8.49m11.31-2.82a10 10 0 0 1 0 14.14m-14.14 0a10 10 0 0 1 0-14.14"></path>',"refresh-ccw":'<polyline points="1 4 1 10 7 10"></polyline><polyline points="23 20 23 14 17 14"></polyline><path d="M20.49 9A9 9 0 0 0 5.64 5.64L1 10m22 4l-4.64 4.36A9 9 0 0 1 3.51 15"></path>',"refresh-cw":'<polyline points="23 4 23 10 17 10"></polyline><polyline points="1 20 1 14 7 14"></polyline><path d="M3.51 9a9 9 0 0 1 14.85-3.36L23 10M1 14l4.64 4.36A9 9 0 0 0 20.49 15"></path>',repeat:'<polyline points="17 1 21 5 17 9"></polyline><path d="M3 11V9a4 4 0 0 1 4-4h14"></path><polyline points="7 23 3 19 7 15"></polyline><path d="M21 13v2a4 4 0 0 1-4 4H3"></path>',rewind:'<polygon points="11 19 2 12 11 5 11 19"></polygon><polygon points="22 19 13 12 22 5 22 19"></polygon>',"rotate-ccw":'<polyline points="1 4 1 10 7 10"></polyline><path d="M3.51 15a9 9 0 1 0 2.13-9.36L1 10"></path>',"rotate-cw":'<polyline points="23 4 23 10 17 10"></polyline><path d="M20.49 15a9 9 0 1 1-2.12-9.36L23 10"></path>',rss:'<path d="M4 11a9 9 0 0 1 9 9"></path><path d="M4 4a16 16 0 0 1 16 16"></path><circle cx="5" cy="19" r="1"></circle>',save:'<path d="M19 21H5a2 2 0 0 1-2-2V5a2 2 0 0 1 2-2h11l5 5v11a2 2 0 0 1-2 2z"></path><polyline points="17 21 17 13 7 13 7 21"></polyline><polyline points="7 3 7 8 15 8"></polyline>',scissors:'<circle cx="6" cy="6" r="3"></circle><circle cx="6" cy="18" r="3"></circle><line x1="20" y1="4" x2="8.12" y2="15.88"></line><line x1="14.47" y1="14.48" x2="20" y2="20"></line><line x1="8.12" y1="8.12" x2="12" y2="12"></line>',search:'<circle cx="11" cy="11" r="8"></circle><line x1="21" y1="21" x2="16.65" y2="16.65"></line>',send:'<line x1="22" y1="2" x2="11" y2="13"></line><polygon points="22 2 15 22 11 13 2 9 22 2"></polygon>',server:'<rect x="2" y="2" width="20" height="8" rx="2" ry="2"></rect><rect x="2" y="14" width="20" height="8" rx="2" ry="2"></rect><line x1="6" y1="6" x2="6" y2="6"></line><line x1="6" y1="18" x2="6" y2="18"></line>',settings:'<circle cx="12" cy="12" r="3"></circle><path d="M19.4 15a1.65 1.65 0 0 0 .33 1.82l.06.06a2 2 0 0 1 0 2.83 2 2 0 0 1-2.83 0l-.06-.06a1.65 1.65 0 0 0-1.82-.33 1.65 1.65 0 0 0-1 1.51V21a2 2 0 0 1-2 2 2 2 0 0 1-2-2v-.09A1.65 1.65 0 0 0 9 19.4a1.65 1.65 0 0 0-1.82.33l-.06.06a2 2 0 0 1-2.83 0 2 2 0 0 1 0-2.83l.06-.06a1.65 1.65 0 0 0 .33-1.82 1.65 1.65 0 0 0-1.51-1H3a2 2 0 0 1-2-2 2 2 0 0 1 2-2h.09A1.65 1.65 0 0 0 4.6 9a1.65 1.65 0 0 0-.33-1.82l-.06-.06a2 2 0 0 1 0-2.83 2 2 0 0 1 2.83 0l.06.06a1.65 1.65 0 0 0 1.82.33H9a1.65 1.65 0 0 0 1-1.51V3a2 2 0 0 1 2-2 2 2 0 0 1 2 2v.09a1.65 1.65 0 0 0 1 1.51 1.65 1.65 0 0 0 1.82-.33l.06-.06a2 2 0 0 1 2.83 0 2 2 0 0 1 0 2.83l-.06.06a1.65 1.65 0 0 0-.33 1.82V9a1.65 1.65 0 0 0 1.51 1H21a2 2 0 0 1 2 2 2 2 0 0 1-2 2h-.09a1.65 1.65 0 0 0-1.51 1z"></path>',"share-2":'<circle cx="18" cy="5" r="3"></circle><circle cx="6" cy="12" r="3"></circle><circle cx="18" cy="19" r="3"></circle><line x1="8.59" y1="13.51" x2="15.42" y2="17.49"></line><line x1="15.41" y1="6.51" x2="8.59" y2="10.49"></line>',share:'<path d="M4 12v8a2 2 0 0 0 2 2h12a2 2 0 0 0 2-2v-8"></path><polyline points="16 6 12 2 8 6"></polyline><line x1="12" y1="2" x2="12" y2="15"></line>',"shield-off":'<path d="M19.69 14a6.9 6.9 0 0 0 .31-2V5l-8-3-3.16 1.18"></path><path d="M4.73 4.73L4 5v7c0 6 8 10 8 10a20.29 20.29 0 0 0 5.62-4.38"></path><line x1="1" y1="1" x2="23" y2="23"></line>',shield:'<path d="M12 22s8-4 8-10V5l-8-3-8 3v7c0 6 8 10 8 10z"></path>',"shopping-bag":'<path d="M6 2L3 6v14a2 2 0 0 0 2 2h14a2 2 0 0 0 2-2V6l-3-4z"></path><line x1="3" y1="6" x2="21" y2="6"></line><path d="M16 10a4 4 0 0 1-8 0"></path>',"shopping-cart":'<circle cx="9" cy="21" r="1"></circle><circle cx="20" cy="21" r="1"></circle><path d="M1 1h4l2.68 13.39a2 2 0 0 0 2 1.61h9.72a2 2 0 0 0 2-1.61L23 6H6"></path>',shuffle:'<polyline points="16 3 21 3 21 8"></polyline><line x1="4" y1="20" x2="21" y2="3"></line><polyline points="21 16 21 21 16 21"></polyline><line x1="15" y1="15" x2="21" y2="21"></line><line x1="4" y1="4" x2="9" y2="9"></line>',sidebar:'<rect x="3" y="3" width="18" height="18" rx="2" ry="2"></rect><line x1="9" y1="3" x2="9" y2="21"></line>',"skip-back":'<polygon points="19 20 9 12 19 4 19 20"></polygon><line x1="5" y1="19" x2="5" y2="5"></line>',"skip-forward":'<polygon points="5 4 15 12 5 20 5 4"></polygon><line x1="19" y1="5" x2="19" y2="19"></line>',slack:'<path d="M22.08 9C19.81 1.41 16.54-.35 9 1.92S-.35 7.46 1.92 15 7.46 24.35 15 22.08 24.35 16.54 22.08 9z"></path><line x1="12.57" y1="5.99" x2="16.15" y2="16.39"></line><line x1="7.85" y1="7.61" x2="11.43" y2="18.01"></line><line x1="16.39" y1="7.85" x2="5.99" y2="11.43"></line><line x1="18.01" y1="12.57" x2="7.61" y2="16.15"></line>',slash:'<circle cx="12" cy="12" r="10"></circle><line x1="4.93" y1="4.93" x2="19.07" y2="19.07"></line>',sliders:'<line x1="4" y1="21" x2="4" y2="14"></line><line x1="4" y1="10" x2="4" y2="3"></line><line x1="12" y1="21" x2="12" y2="12"></line><line x1="12" y1="8" x2="12" y2="3"></line><line x1="20" y1="21" x2="20" y2="16"></line><line x1="20" y1="12" x2="20" y2="3"></line><line x1="1" y1="14" x2="7" y2="14"></line><line x1="9" y1="8" x2="15" y2="8"></line><line x1="17" y1="16" x2="23" y2="16"></line>',smartphone:'<rect x="5" y="2" width="14" height="20" rx="2" ry="2"></rect><line x1="12" y1="18" x2="12" y2="18"></line>',smile:'<circle cx="12" cy="12" r="10"></circle><path d="M8 14s1.5 2 4 2 4-2 4-2"></path><line x1="9" y1="9" x2="9.01" y2="9"></line><line x1="15" y1="9" x2="15.01" y2="9"></line>',speaker:'<rect x="4" y="2" width="16" height="20" rx="2" ry="2"></rect><circle cx="12" cy="14" r="4"></circle><line x1="12" y1="6" x2="12" y2="6"></line>',square:'<rect x="3" y="3" width="18" height="18" rx="2" ry="2"></rect>',star:'<polygon points="12 2 15.09 8.26 22 9.27 17 14.14 18.18 21.02 12 17.77 5.82 21.02 7 14.14 2 9.27 8.91 8.26 12 2"></polygon>',"stop-circle":'<circle cx="12" cy="12" r="10"></circle><rect x="9" y="9" width="6" height="6"></rect>',sun:'<circle cx="12" cy="12" r="5"></circle><line x1="12" y1="1" x2="12" y2="3"></line><line x1="12" y1="21" x2="12" y2="23"></line><line x1="4.22" y1="4.22" x2="5.64" y2="5.64"></line><line x1="18.36" y1="18.36" x2="19.78" y2="19.78"></line><line x1="1" y1="12" x2="3" y2="12"></line><line x1="21" y1="12" x2="23" y2="12"></line><line x1="4.22" y1="19.78" x2="5.64" y2="18.36"></line><line x1="18.36" y1="5.64" x2="19.78" y2="4.22"></line>',sunrise:'<path d="M17 18a5 5 0 0 0-10 0"></path><line x1="12" y1="2" x2="12" y2="9"></line><line x1="4.22" y1="10.22" x2="5.64" y2="11.64"></line><line x1="1" y1="18" x2="3" y2="18"></line><line x1="21" y1="18" x2="23" y2="18"></line><line x1="18.36" y1="11.64" x2="19.78" y2="10.22"></line><line x1="23" y1="22" x2="1" y2="22"></line><polyline points="8 6 12 2 16 6"></polyline>',sunset:'<path d="M17 18a5 5 0 0 0-10 0"></path><line x1="12" y1="9" x2="12" y2="2"></line><line x1="4.22" y1="10.22" x2="5.64" y2="11.64"></line><line x1="1" y1="18" x2="3" y2="18"></line><line x1="21" y1="18" x2="23" y2="18"></line><line x1="18.36" y1="11.64" x2="19.78" y2="10.22"></line><line x1="23" y1="22" x2="1" y2="22"></line><polyline points="16 5 12 9 8 5"></polyline>',tablet:'<rect x="4" y="2" width="16" height="20" rx="2" ry="2" transform="rotate(180 12 12)"></rect><line x1="12" y1="18" x2="12" y2="18"></line>',tag:'<path d="M20.59 13.41l-7.17 7.17a2 2 0 0 1-2.83 0L2 12V2h10l8.59 8.59a2 2 0 0 1 0 2.82z"></path><line x1="7" y1="7" x2="7" y2="7"></line>',target:'<circle cx="12" cy="12" r="10"></circle><circle cx="12" cy="12" r="6"></circle><circle cx="12" cy="12" r="2"></circle>',terminal:'<polyline points="4 17 10 11 4 5"></polyline><line x1="12" y1="19" x2="20" y2="19"></line>',thermometer:'<path d="M14 14.76V3.5a2.5 2.5 0 0 0-5 0v11.26a4.5 4.5 0 1 0 5 0z"></path>',"thumbs-down":'<path d="M10 15v4a3 3 0 0 0 3 3l4-9V2H5.72a2 2 0 0 0-2 1.7l-1.38 9a2 2 0 0 0 2 2.3zm7-13h2.67A2.31 2.31 0 0 1 22 4v7a2.31 2.31 0 0 1-2.33 2H17"></path>',"thumbs-up":'<path d="M14 9V5a3 3 0 0 0-3-3l-4 9v11h11.28a2 2 0 0 0 2-1.7l1.38-9a2 2 0 0 0-2-2.3zM7 22H4a2 2 0 0 1-2-2v-7a2 2 0 0 1 2-2h3"></path>',"toggle-left":'<rect x="1" y="5" width="22" height="14" rx="7" ry="7"></rect><circle cx="8" cy="12" r="3"></circle>',"toggle-right":'<rect x="1" y="5" width="22" height="14" rx="7" ry="7"></rect><circle cx="16" cy="12" r="3"></circle>',"trash-2":'<polyline points="3 6 5 6 21 6"></polyline><path d="M19 6v14a2 2 0 0 1-2 2H7a2 2 0 0 1-2-2V6m3 0V4a2 2 0 0 1 2-2h4a2 2 0 0 1 2 2v2"></path><line x1="10" y1="11" x2="10" y2="17"></line><line x1="14" y1="11" x2="14" y2="17"></line>',trash:'<polyline points="3 6 5 6 21 6"></polyline><path d="M19 6v14a2 2 0 0 1-2 2H7a2 2 0 0 1-2-2V6m3 0V4a2 2 0 0 1 2-2h4a2 2 0 0 1 2 2v2"></path>',trello:'<rect x="3" y="3" width="18" height="18" rx="2" ry="2"></rect><rect x="7" y="7" width="3" height="9"></rect><rect x="14" y="7" width="3" height="5"></rect>',"trending-down":'<polyline points="23 18 13.5 8.5 8.5 13.5 1 6"></polyline><polyline points="17 18 23 18 23 12"></polyline>',"trending-up":'<polyline points="23 6 13.5 15.5 8.5 10.5 1 18"></polyline><polyline points="17 6 23 6 23 12"></polyline>',triangle:'<path d="M10.29 3.86L1.82 18a2 2 0 0 0 1.71 3h16.94a2 2 0 0 0 1.71-3L13.71 3.86a2 2 0 0 0-3.42 0z"></path>',truck:'<rect x="1" y="3" width="15" height="13"></rect><polygon points="16 8 20 8 23 11 23 16 16 16 16 8"></polygon><circle cx="5.5" cy="18.5" r="2.5"></circle><circle cx="18.5" cy="18.5" r="2.5"></circle>',tv:'<rect x="2" y="7" width="20" height="15" rx="2" ry="2"></rect><polyline points="17 2 12 7 7 2"></polyline>',twitter:'<path d="M23 3a10.9 10.9 0 0 1-3.14 1.53 4.48 4.48 0 0 0-7.86 3v1A10.66 10.66 0 0 1 3 4s-4 9 5 13a11.64 11.64 0 0 1-7 2c9 5 20 0 20-11.5a4.5 4.5 0 0 0-.08-.83A7.72 7.72 0 0 0 23 3z"></path>',type:'<polyline points="4 7 4 4 20 4 20 7"></polyline><line x1="9" y1="20" x2="15" y2="20"></line><line x1="12" y1="4" x2="12" y2="20"></line>',umbrella:'<path d="M23 12a11.05 11.05 0 0 0-22 0zm-5 7a3 3 0 0 1-6 0v-7"></path>',underline:'<path d="M6 3v7a6 6 0 0 0 6 6 6 6 0 0 0 6-6V3"></path><line x1="4" y1="21" x2="20" y2="21"></line>',unlock:'<rect x="3" y="11" width="18" height="11" rx="2" ry="2"></rect><path d="M7 11V7a5 5 0 0 1 9.9-1"></path>',"upload-cloud":'<polyline points="16 16 12 12 8 16"></polyline><line x1="12" y1="12" x2="12" y2="21"></line><path d="M20.39 18.39A5 5 0 0 0 18 9h-1.26A8 8 0 1 0 3 16.3"></path><polyline points="16 16 12 12 8 16"></polyline>',upload:'<path d="M21 15v4a2 2 0 0 1-2 2H5a2 2 0 0 1-2-2v-4"></path><polyline points="17 8 12 3 7 8"></polyline><line x1="12" y1="3" x2="12" y2="15"></line>',"user-check":'<path d="M16 21v-2a4 4 0 0 0-4-4H5a4 4 0 0 0-4 4v2"></path><circle cx="8.5" cy="7" r="4"></circle><polyline points="17 11 19 13 23 9"></polyline>',"user-minus":'<path d="M16 21v-2a4 4 0 0 0-4-4H5a4 4 0 0 0-4 4v2"></path><circle cx="8.5" cy="7" r="4"></circle><line x1="23" y1="11" x2="17" y2="11"></line>',"user-plus":'<path d="M16 21v-2a4 4 0 0 0-4-4H5a4 4 0 0 0-4 4v2"></path><circle cx="8.5" cy="7" r="4"></circle><line x1="20" y1="8" x2="20" y2="14"></line><line x1="23" y1="11" x2="17" y2="11"></line>',"user-x":'<path d="M16 21v-2a4 4 0 0 0-4-4H5a4 4 0 0 0-4 4v2"></path><circle cx="8.5" cy="7" r="4"></circle><line x1="18" y1="8" x2="23" y2="13"></line><line x1="23" y1="8" x2="18" y2="13"></line>',user:'<path d="M20 21v-2a4 4 0 0 0-4-4H8a4 4 0 0 0-4 4v2"></path><circle cx="12" cy="7" r="4"></circle>',users:'<path d="M17 21v-2a4 4 0 0 0-4-4H5a4 4 0 0 0-4 4v2"></path><circle cx="9" cy="7" r="4"></circle><path d="M23 21v-2a4 4 0 0 0-3-3.87"></path><path d="M16 3.13a4 4 0 0 1 0 7.75"></path>',"video-off":'<path d="M16 16v1a2 2 0 0 1-2 2H3a2 2 0 0 1-2-2V7a2 2 0 0 1 2-2h2m5.66 0H14a2 2 0 0 1 2 2v3.34l1 1L23 7v10"></path><line x1="1" y1="1" x2="23" y2="23"></line>',video:'<polygon points="23 7 16 12 23 17 23 7"></polygon><rect x="1" y="5" width="15" height="14" rx="2" ry="2"></rect>',voicemail:'<circle cx="5.5" cy="11.5" r="4.5"></circle><circle cx="18.5" cy="11.5" r="4.5"></circle><line x1="5.5" y1="16" x2="18.5" y2="16"></line>',"volume-1":'<polygon points="11 5 6 9 2 9 2 15 6 15 11 19 11 5"></polygon><path d="M15.54 8.46a5 5 0 0 1 0 7.07"></path>',"volume-2":'<polygon points="11 5 6 9 2 9 2 15 6 15 11 19 11 5"></polygon><path d="M19.07 4.93a10 10 0 0 1 0 14.14M15.54 8.46a5 5 0 0 1 0 7.07"></path>',"volume-x":'<polygon points="11 5 6 9 2 9 2 15 6 15 11 19 11 5"></polygon><line x1="23" y1="9" x2="17" y2="15"></line><line x1="17" y1="9" x2="23" y2="15"></line>',volume:'<polygon points="11 5 6 9 2 9 2 15 6 15 11 19 11 5"></polygon>',watch:'<circle cx="12" cy="12" r="7"></circle><polyline points="12 9 12 12 13.5 13.5"></polyline><path d="M16.51 17.35l-.35 3.83a2 2 0 0 1-2 1.82H9.83a2 2 0 0 1-2-1.82l-.35-3.83m.01-10.7l.35-3.83A2 2 0 0 1 9.83 1h4.35a2 2 0 0 1 2 1.82l.35 3.83"></path>',"wifi-off":'<line x1="1" y1="1" x2="23" y2="23"></line><path d="M16.72 11.06A10.94 10.94 0 0 1 19 12.55"></path><path d="M5 12.55a10.94 10.94 0 0 1 5.17-2.39"></path><path d="M10.71 5.05A16 16 0 0 1 22.58 9"></path><path d="M1.42 9a15.91 15.91 0 0 1 4.7-2.88"></path><path d="M8.53 16.11a6 6 0 0 1 6.95 0"></path><line x1="12" y1="20" x2="12" y2="20"></line>',wifi:'<path d="M5 12.55a11 11 0 0 1 14.08 0"></path><path d="M1.42 9a16 16 0 0 1 21.16 0"></path><path d="M8.53 16.11a6 6 0 0 1 6.95 0"></path><line x1="12" y1="20" x2="12" y2="20"></line>',wind:'<path d="M9.59 4.59A2 2 0 1 1 11 8H2m10.59 11.41A2 2 0 1 0 14 16H2m15.73-8.27A2.5 2.5 0 1 1 19.5 12H2"></path>',"x-circle":'<circle cx="12" cy="12" r="10"></circle><line x1="15" y1="9" x2="9" y2="15"></line><line x1="9" y1="9" x2="15" y2="15"></line>',"x-square":'<rect x="3" y="3" width="18" height="18" rx="2" ry="2"></rect><line x1="9" y1="9" x2="15" y2="15"></line><line x1="15" y1="9" x2="9" y2="15"></line>',x:'<line x1="18" y1="6" x2="6" y2="18"></line><line x1="6" y1="6" x2="18" y2="18"></line>',youtube:'<path d="M22.54 6.42a2.78 2.78 0 0 0-1.94-2C18.88 4 12 4 12 4s-6.88 0-8.6.46a2.78 2.78 0 0 0-1.94 2A29 29 0 0 0 1 11.75a29 29 0 0 0 .46 5.33A2.78 2.78 0 0 0 3.4 19c1.72.46 8.6.46 8.6.46s6.88 0 8.6-.46a2.78 2.78 0 0 0 1.94-2 29 29 0 0 0 .46-5.25 29 29 0 0 0-.46-5.33z"></path><polygon points="9.75 15.02 15.5 11.75 9.75 8.48 9.75 15.02"></polygon>',"zap-off":'<polyline points="12.41 6.75 13 2 10.57 4.92"></polyline><polyline points="18.57 12.91 21 10 15.66 10"></polyline><polyline points="8 8 3 14 12 14 11 22 16 16"></polyline><line x1="1" y1="1" x2="23" y2="23"></line>',zap:'<polygon points="13 2 3 14 12 14 11 22 21 10 12 10 13 2"></polygon>',"zoom-in":'<circle cx="11" cy="11" r="8"></circle><line x1="21" y1="21" x2="16.65" y2="16.65"></line><line x1="11" y1="8" x2="11" y2="14"></line><line x1="8" y1="11" x2="14" y2="11"></line>',"zoom-out":'<circle cx="11" cy="11" r="8"></circle><line x1="21" y1="21" x2="16.65" y2="16.65"></line><line x1="8" y1="11" x2="14" y2="11"></line>'}},function(e){e.exports={xmlns:"http://www.w3.org/2000/svg",width:24,height:24,viewBox:"0 0 24 24",fill:"none",stroke:"currentColor","stroke-width":2,"stroke-linecap":"round","stroke-linejoin":"round"}},function(e,n,i){"use strict";Object.defineProperty(n,"__esModule",{value:!0});var l=Object.assign||function(e){for(var n=1;n<arguments.length;n++){var i=arguments[n];for(var l in i)Object.prototype.hasOwnProperty.call(i,l)&&(e[l]=i[l])}return e},t=function(){function e(e,n){for(var i=0;i<n.length;i++){var l=n[i];l.enumerable=l.enumerable||!1,l.configurable=!0,"value"in l&&(l.writable=!0),Object.defineProperty(e,l.key,l)}}return function(n,i,l){return i&&e(n.prototype,i),l&&e(n,l),n}}(),r=a(i(16)),o=a(i(34));function a(e){return e&&e.__esModule?e:{default:e}}var c=function(){function e(n,i){var t=arguments.length>2&&void 0!==arguments[2]?arguments[2]:[];!function(e,n){if(!(e instanceof n))throw new TypeError("Cannot call a class as a function")}(this,e),this.name=n,this.contents=i,this.tags=t,this.attrs=l({},o.default,{class:"feather feather-"+n})}return t(e,[{key:"toSvg",value:function(){var e=arguments.length>0&&void 0!==arguments[0]?arguments[0]:{};return"<svg "+function(e){return Object.keys(e).map(function(n){return n+'="'+e[n]+'"'}).join(" ")}(l({},this.attrs,e,{class:(0,r.default)(this.attrs.class,e.class)}))+">"+this.contents+"</svg>"}},{key:"toString",value:function(){return this.contents}}]),e}();n.default=c},function(e,n,i){"use strict";var l=o(i(8)),t=o(i(31)),r=o(i(30));function o(e){return e&&e.__esModule?e:{default:e}}e.exports={icons:l.default,toSvg:t.default,replace:r.default}},function(e,n,i){var l=i(0)("iterator"),t=!1;try{var r=[7][l]();r.return=function(){t=!0},Array.from(r,function(){throw 2})}catch(e){}e.exports=function(e,n){if(!n&&!t)return!1;var i=!1;try{var r=[7],o=r[l]();o.next=function(){return{done:i=!0}},r[l]=function(){return o},e(r)}catch(e){}return i}},function(e,n,i){var l=i(22),t=i(0)("toStringTag"),r="Arguments"==l(function(){return arguments}());e.exports=function(e){var n,i,o;return void 0===e?"Undefined":null===e?"Null":"string"==typeof(i=function(e,n){try{return e[n]}catch(e){}}(n=Object(e),t))?i:r?l(n):"Object"==(o=l(n))&&"function"==typeof n.callee?"Arguments":o}},function(e,n,i){var l=i(38),t=i(0)("iterator"),r=i(10);e.exports=i(2).getIteratorMethod=function(e){if(void 0!=e)return e[t]||e["@@iterator"]||r[l(e)]}},function(e,n,i){"use strict";var l=i(6),t=i(12);e.exports=function(e,n,i){n in e?l.f(e,n,t(0,i)):e[n]=i}},function(e,n,i){var l=i(10),t=i(0)("iterator"),r=Array.prototype;e.exports=function(e){return void 0!==e&&(l.Array===e||r[t]===e)}},function(e,n,i){var l=i(5);e.exports=function(e,n,i,t){try{return t?n(l(i)[0],i[1]):n(i)}catch(n){var r=e.return;throw void 0!==r&&l(r.call(e)),n}}},function(e,n,i){"use strict";var l=i(24),t=i(28),r=i(17),o=i(42),a=i(41),c=i(21),y=i(40),p=i(39);t(t.S+t.F*!i(37)(function(e){Array.from(e)}),"Array",{from:function(e){var n,i,t,h,x=r(e),s="function"==typeof this?this:Array,u=arguments.length,d=u>1?arguments[1]:void 0,f=void 0!==d,v=0,g=p(x);if(f&&(d=l(d,u>2?arguments[2]:void 0,2)),void 0==g||s==Array&&a(g))for(i=new s(n=c(x.length));n>v;v++)y(i,v,f?d(x[v],v):x[v]);else for(h=g.call(x),i=new s;!(t=h.next()).done;v++)y(i,v,f?o(h,d,[t.value,v],!0):t.value);return i.length=v,i}})},function(e,n,i){var l=i(3),t=i(17),r=i(9)("IE_PROTO"),o=Object.prototype;e.exports=Object.getPrototypeOf||function(e){return e=t(e),l(e,r)?e[r]:"function"==typeof e.constructor&&e instanceof e.constructor?e.constructor.prototype:e instanceof Object?o:null}},function(e,n,i){var l=i(1).document;e.exports=l&&l.documentElement},function(e,n,i){var l=i(15),t=Math.max,r=Math.min;e.exports=function(e,n){return(e=l(e))<0?t(e+n,0):r(e,n)}},function(e,n,i){var l=i(23),t=i(21),r=i(46);e.exports=function(e){return function(n,i,o){var a,c=l(n),y=t(c.length),p=r(o,y);if(e&&i!=i){for(;y>p;)if((a=c[p++])!=a)return!0}else for(;y>p;p++)if((e||p in c)&&c[p]===i)return e||p||0;return!e&&-1}}},function(e,n,i){var l=i(22);e.exports=Object("z").propertyIsEnumerable(0)?Object:function(e){return"String"==l(e)?e.split(""):Object(e)}},function(e,n,i){var l=i(3),t=i(23),r=i(47)(!1),o=i(9)("IE_PROTO");e.exports=function(e,n){var i,a=t(e),c=0,y=[];for(i in a)i!=o&&l(a,i)&&y.push(i);for(;n.length>c;)l(a,i=n[c++])&&(~r(y,i)||y.push(i));return y}},function(e,n,i){var l=i(49),t=i(19);e.exports=Object.keys||function(e){return l(e,t)}},function(e,n,i){var l=i(6),t=i(5),r=i(50);e.exports=i(4)?Object.defineProperties:function(e,n){t(e);for(var i,o=r(n),a=o.length,c=0;a>c;)l.f(e,i=o[c++],n[i]);return e}},function(e,n,i){var l=i(5),t=i(51),r=i(19),o=i(9)("IE_PROTO"),a=function(){},c=function(){var e,n=i(26)("iframe"),l=r.length;for(n.style.display="none",i(45).appendChild(n),n.src="javascript:",(e=n.contentWindow.document).open(),e.write("<script>document.F=Object<\/script>"),e.close(),c=e.F;l--;)delete c.prototype[r[l]];return c()};e.exports=Object.create||function(e,n){var i;return null!==e?(a.prototype=l(e),i=new a,a.prototype=null,i[o]=e):i=c(),void 0===n?i:t(i,n)}},function(e,n,i){"use strict";var l=i(52),t=i(12),r=i(18),o={};i(7)(o,i(0)("iterator"),function(){return this}),e.exports=function(e,n,i){e.prototype=l(o,{next:t(1,i)}),r(e,n+" Iterator")}},function(e,n){e.exports=function(e){if("function"!=typeof e)throw TypeError(e+" is not a function!");return e}},function(e,n,i){var l=i(13);e.exports=function(e,n){if(!l(e))return e;var i,t;if(n&&"function"==typeof(i=e.toString)&&!l(t=i.call(e)))return t;if("function"==typeof(i=e.valueOf)&&!l(t=i.call(e)))return t;if(!n&&"function"==typeof(i=e.toString)&&!l(t=i.call(e)))return t;throw TypeError("Can't convert object to primitive value")}},function(e,n,i){e.exports=!i(4)&&!i(27)(function(){return 7!=Object.defineProperty(i(26)("div"),"a",{get:function(){return 7}}).a})},function(e,n,i){"use strict";var l=i(29),t=i(28),r=i(25),o=i(7),a=i(10),c=i(53),y=i(18),p=i(44),h=i(0)("iterator"),x=!([].keys&&"next"in[].keys()),s=function(){return this};e.exports=function(e,n,i,u,d,f,v){c(i,n,u);var g,m,M,w=function(e){if(!x&&e in k)return k[e];switch(e){case"keys":case"values":return function(){return new i(this,e)}}return function(){return new i(this,e)}},b=n+" Iterator",z="values"==d,A=!1,k=e.prototype,H=k[h]||k["@@iterator"]||d&&k[d],V=H||w(d),j=d?z?w("entries"):V:void 0,O="Array"==n&&k.entries||H;if(O&&(M=p(O.call(new e)))!==Object.prototype&&M.next&&(y(M,b,!0),l||"function"==typeof M[h]||o(M,h,s)),z&&H&&"values"!==H.name&&(A=!0,V=function(){return H.call(this)}),l&&!v||!x&&!A&&k[h]||o(k,h,V),a[n]=V,a[b]=s,d)if(g={values:z?V:w("values"),keys:f?V:w("keys"),entries:j},v)for(m in g)m in k||r(k,m,g[m]);else t(t.P+t.F*(x||A),n,g);return g}},function(e,n,i){var l=i(15),t=i(14);e.exports=function(e){return function(n,i){var r,o,a=String(t(n)),c=l(i),y=a.length;return c<0||c>=y?e?"":void 0:(r=a.charCodeAt(c))<55296||r>56319||c+1===y||(o=a.charCodeAt(c+1))<56320||o>57343?e?a.charAt(c):r:e?a.slice(c,c+2):o-56320+(r-55296<<10)+65536}}},function(e,n,i){"use strict";var l=i(58)(!0);i(57)(String,"String",function(e){this._t=String(e),this._i=0},function(){var e,n=this._t,i=this._i;return i>=n.length?{value:void 0,done:!0}:(e=l(n,i),this._i+=e.length,{value:e,done:!1})})},function(e,n,i){i(59),i(43),e.exports=i(2).Array.from},function(e,n,i){i(60),e.exports=i(36)}])});
-//# sourceMappingURL=feather.min.js.map
\ No newline at end of file
diff --git a/previews/PR41/libs/highlight/github.min.css b/previews/PR41/libs/highlight/github.min.css
deleted file mode 100644
index a93cf8d..0000000
--- a/previews/PR41/libs/highlight/github.min.css
+++ /dev/null
@@ -1,10 +0,0 @@
-pre code.hljs{display:block;overflow-x:auto;}/*!
-  Theme: GitHub
-  Description: Light theme as seen on github.com
-  Author: github.com
-  Maintainer: @Hirse
-  Updated: 2021-05-15
-
-  Outdated base version: https://github.com/primer/github-syntax-light
-  Current colors taken from GitHub's CSS
-*/.hljs{color:#24292e;background:#fff}.hljs-doctag,.hljs-keyword,.hljs-meta .hljs-keyword,.hljs-template-tag,.hljs-template-variable,.hljs-type,.hljs-variable.language_{color:#d73a49}.hljs-title,.hljs-title.class_,.hljs-title.class_.inherited__,.hljs-title.function_{color:#6f42c1}.hljs-attr,.hljs-attribute,.hljs-literal,.hljs-meta,.hljs-number,.hljs-operator,.hljs-selector-attr,.hljs-selector-class,.hljs-selector-id,.hljs-variable{color:#005cc5}.hljs-meta .hljs-string,.hljs-regexp,.hljs-string{color:#032f62}.hljs-built_in,.hljs-symbol{color:#e36209}.hljs-code,.hljs-comment,.hljs-formula{color:#6a737d}.hljs-name,.hljs-quote,.hljs-selector-pseudo,.hljs-selector-tag{color:#22863a}.hljs-subst{color:#24292e}.hljs-section{color:#005cc5;font-weight:700}.hljs-bullet{color:#735c0f}.hljs-emphasis{color:#24292e;font-style:italic}.hljs-strong{color:#24292e;font-weight:700}.hljs-addition{color:#22863a;background-color:#f0fff4}.hljs-deletion{color:#b31d28;background-color:#ffeef0}
diff --git a/previews/PR41/libs/highlight/highlight.min.js b/previews/PR41/libs/highlight/highlight.min.js
deleted file mode 100644
index 23c3918..0000000
--- a/previews/PR41/libs/highlight/highlight.min.js
+++ /dev/null
@@ -1,742 +0,0 @@
-/*!
-  Highlight.js v11.5.1 (git: b8f233c8e2)
-  (c) 2006-2022 Ivan Sagalaev and other contributors
-  License: BSD-3-Clause
- */
-var hljs=function(){"use strict";var e={exports:{}};function t(e){
-return e instanceof Map?e.clear=e.delete=e.set=()=>{
-throw Error("map is read-only")}:e instanceof Set&&(e.add=e.clear=e.delete=()=>{
-throw Error("set is read-only")
-}),Object.freeze(e),Object.getOwnPropertyNames(e).forEach((n=>{var i=e[n]
-;"object"!=typeof i||Object.isFrozen(i)||t(i)})),e}
-e.exports=t,e.exports.default=t;var n=e.exports;class i{constructor(e){
-void 0===e.data&&(e.data={}),this.data=e.data,this.isMatchIgnored=!1}
-ignoreMatch(){this.isMatchIgnored=!0}}function r(e){
-return e.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/"/g,"&quot;").replace(/'/g,"&#x27;")
-}function s(e,...t){const n=Object.create(null);for(const t in e)n[t]=e[t]
-;return t.forEach((e=>{for(const t in e)n[t]=e[t]})),n}const o=e=>!!e.kind
-;class a{constructor(e,t){
-this.buffer="",this.classPrefix=t.classPrefix,e.walk(this)}addText(e){
-this.buffer+=r(e)}openNode(e){if(!o(e))return;let t=e.kind
-;t=e.sublanguage?"language-"+t:((e,{prefix:t})=>{if(e.includes(".")){
-const n=e.split(".")
-;return[`${t}${n.shift()}`,...n.map(((e,t)=>`${e}${"_".repeat(t+1)}`))].join(" ")
-}return`${t}${e}`})(t,{prefix:this.classPrefix}),this.span(t)}closeNode(e){
-o(e)&&(this.buffer+="</span>")}value(){return this.buffer}span(e){
-this.buffer+=`<span class="${e}">`}}class c{constructor(){this.rootNode={
-children:[]},this.stack=[this.rootNode]}get top(){
-return this.stack[this.stack.length-1]}get root(){return this.rootNode}add(e){
-this.top.children.push(e)}openNode(e){const t={kind:e,children:[]}
-;this.add(t),this.stack.push(t)}closeNode(){
-if(this.stack.length>1)return this.stack.pop()}closeAllNodes(){
-for(;this.closeNode(););}toJSON(){return JSON.stringify(this.rootNode,null,4)}
-walk(e){return this.constructor._walk(e,this.rootNode)}static _walk(e,t){
-return"string"==typeof t?e.addText(t):t.children&&(e.openNode(t),
-t.children.forEach((t=>this._walk(e,t))),e.closeNode(t)),e}static _collapse(e){
-"string"!=typeof e&&e.children&&(e.children.every((e=>"string"==typeof e))?e.children=[e.children.join("")]:e.children.forEach((e=>{
-c._collapse(e)})))}}class l extends c{constructor(e){super(),this.options=e}
-addKeyword(e,t){""!==e&&(this.openNode(t),this.addText(e),this.closeNode())}
-addText(e){""!==e&&this.add(e)}addSublanguage(e,t){const n=e.root
-;n.kind=t,n.sublanguage=!0,this.add(n)}toHTML(){
-return new a(this,this.options).value()}finalize(){return!0}}function g(e){
-return e?"string"==typeof e?e:e.source:null}function d(e){return f("(?=",e,")")}
-function u(e){return f("(?:",e,")*")}function h(e){return f("(?:",e,")?")}
-function f(...e){return e.map((e=>g(e))).join("")}function p(...e){const t=(e=>{
-const t=e[e.length-1]
-;return"object"==typeof t&&t.constructor===Object?(e.splice(e.length-1,1),t):{}
-})(e);return"("+(t.capture?"":"?:")+e.map((e=>g(e))).join("|")+")"}
-function b(e){return RegExp(e.toString()+"|").exec("").length-1}
-const m=/\[(?:[^\\\]]|\\.)*\]|\(\??|\\([1-9][0-9]*)|\\./
-;function E(e,{joinWith:t}){let n=0;return e.map((e=>{n+=1;const t=n
-;let i=g(e),r="";for(;i.length>0;){const e=m.exec(i);if(!e){r+=i;break}
-r+=i.substring(0,e.index),
-i=i.substring(e.index+e[0].length),"\\"===e[0][0]&&e[1]?r+="\\"+(Number(e[1])+t):(r+=e[0],
-"("===e[0]&&n++)}return r})).map((e=>`(${e})`)).join(t)}
-const x="[a-zA-Z]\\w*",w="[a-zA-Z_]\\w*",y="\\b\\d+(\\.\\d+)?",_="(-?)(\\b0[xX][a-fA-F0-9]+|(\\b\\d+(\\.\\d*)?|\\.\\d+)([eE][-+]?\\d+)?)",k="\\b(0b[01]+)",v={
-begin:"\\\\[\\s\\S]",relevance:0},O={scope:"string",begin:"'",end:"'",
-illegal:"\\n",contains:[v]},N={scope:"string",begin:'"',end:'"',illegal:"\\n",
-contains:[v]},M=(e,t,n={})=>{const i=s({scope:"comment",begin:e,end:t,
-contains:[]},n);i.contains.push({scope:"doctag",
-begin:"[ ]*(?=(TODO|FIXME|NOTE|BUG|OPTIMIZE|HACK|XXX):)",
-end:/(TODO|FIXME|NOTE|BUG|OPTIMIZE|HACK|XXX):/,excludeBegin:!0,relevance:0})
-;const r=p("I","a","is","so","us","to","at","if","in","it","on",/[A-Za-z]+['](d|ve|re|ll|t|s|n)/,/[A-Za-z]+[-][a-z]+/,/[A-Za-z][a-z]{2,}/)
-;return i.contains.push({begin:f(/[ ]+/,"(",r,/[.]?[:]?([.][ ]|[ ])/,"){3}")}),i
-},S=M("//","$"),R=M("/\\*","\\*/"),j=M("#","$");var A=Object.freeze({
-__proto__:null,MATCH_NOTHING_RE:/\b\B/,IDENT_RE:x,UNDERSCORE_IDENT_RE:w,
-NUMBER_RE:y,C_NUMBER_RE:_,BINARY_NUMBER_RE:k,
-RE_STARTERS_RE:"!|!=|!==|%|%=|&|&&|&=|\\*|\\*=|\\+|\\+=|,|-|-=|/=|/|:|;|<<|<<=|<=|<|===|==|=|>>>=|>>=|>=|>>>|>>|>|\\?|\\[|\\{|\\(|\\^|\\^=|\\||\\|=|\\|\\||~",
-SHEBANG:(e={})=>{const t=/^#![ ]*\//
-;return e.binary&&(e.begin=f(t,/.*\b/,e.binary,/\b.*/)),s({scope:"meta",begin:t,
-end:/$/,relevance:0,"on:begin":(e,t)=>{0!==e.index&&t.ignoreMatch()}},e)},
-BACKSLASH_ESCAPE:v,APOS_STRING_MODE:O,QUOTE_STRING_MODE:N,PHRASAL_WORDS_MODE:{
-begin:/\b(a|an|the|are|I'm|isn't|don't|doesn't|won't|but|just|should|pretty|simply|enough|gonna|going|wtf|so|such|will|you|your|they|like|more)\b/
-},COMMENT:M,C_LINE_COMMENT_MODE:S,C_BLOCK_COMMENT_MODE:R,HASH_COMMENT_MODE:j,
-NUMBER_MODE:{scope:"number",begin:y,relevance:0},C_NUMBER_MODE:{scope:"number",
-begin:_,relevance:0},BINARY_NUMBER_MODE:{scope:"number",begin:k,relevance:0},
-REGEXP_MODE:{begin:/(?=\/[^/\n]*\/)/,contains:[{scope:"regexp",begin:/\//,
-end:/\/[gimuy]*/,illegal:/\n/,contains:[v,{begin:/\[/,end:/\]/,relevance:0,
-contains:[v]}]}]},TITLE_MODE:{scope:"title",begin:x,relevance:0},
-UNDERSCORE_TITLE_MODE:{scope:"title",begin:w,relevance:0},METHOD_GUARD:{
-begin:"\\.\\s*[a-zA-Z_]\\w*",relevance:0},END_SAME_AS_BEGIN:e=>Object.assign(e,{
-"on:begin":(e,t)=>{t.data._beginMatch=e[1]},"on:end":(e,t)=>{
-t.data._beginMatch!==e[1]&&t.ignoreMatch()}})});function I(e,t){
-"."===e.input[e.index-1]&&t.ignoreMatch()}function T(e,t){
-void 0!==e.className&&(e.scope=e.className,delete e.className)}function L(e,t){
-t&&e.beginKeywords&&(e.begin="\\b("+e.beginKeywords.split(" ").join("|")+")(?!\\.)(?=\\b|\\s)",
-e.__beforeBegin=I,e.keywords=e.keywords||e.beginKeywords,delete e.beginKeywords,
-void 0===e.relevance&&(e.relevance=0))}function B(e,t){
-Array.isArray(e.illegal)&&(e.illegal=p(...e.illegal))}function D(e,t){
-if(e.match){
-if(e.begin||e.end)throw Error("begin & end are not supported with match")
-;e.begin=e.match,delete e.match}}function H(e,t){
-void 0===e.relevance&&(e.relevance=1)}const P=(e,t)=>{if(!e.beforeMatch)return
-;if(e.starts)throw Error("beforeMatch cannot be used with starts")
-;const n=Object.assign({},e);Object.keys(e).forEach((t=>{delete e[t]
-})),e.keywords=n.keywords,e.begin=f(n.beforeMatch,d(n.begin)),e.starts={
-relevance:0,contains:[Object.assign(n,{endsParent:!0})]
-},e.relevance=0,delete n.beforeMatch
-},C=["of","and","for","in","not","or","if","then","parent","list","value"]
-;function $(e,t,n="keyword"){const i=Object.create(null)
-;return"string"==typeof e?r(n,e.split(" ")):Array.isArray(e)?r(n,e):Object.keys(e).forEach((n=>{
-Object.assign(i,$(e[n],t,n))})),i;function r(e,n){
-t&&(n=n.map((e=>e.toLowerCase()))),n.forEach((t=>{const n=t.split("|")
-;i[n[0]]=[e,U(n[0],n[1])]}))}}function U(e,t){
-return t?Number(t):(e=>C.includes(e.toLowerCase()))(e)?0:1}const z={},K=e=>{
-console.error(e)},W=(e,...t)=>{console.log("WARN: "+e,...t)},X=(e,t)=>{
-z[`${e}/${t}`]||(console.log(`Deprecated as of ${e}. ${t}`),z[`${e}/${t}`]=!0)
-},G=Error();function Z(e,t,{key:n}){let i=0;const r=e[n],s={},o={}
-;for(let e=1;e<=t.length;e++)o[e+i]=r[e],s[e+i]=!0,i+=b(t[e-1])
-;e[n]=o,e[n]._emit=s,e[n]._multi=!0}function F(e){(e=>{
-e.scope&&"object"==typeof e.scope&&null!==e.scope&&(e.beginScope=e.scope,
-delete e.scope)})(e),"string"==typeof e.beginScope&&(e.beginScope={
-_wrap:e.beginScope}),"string"==typeof e.endScope&&(e.endScope={_wrap:e.endScope
-}),(e=>{if(Array.isArray(e.begin)){
-if(e.skip||e.excludeBegin||e.returnBegin)throw K("skip, excludeBegin, returnBegin not compatible with beginScope: {}"),
-G
-;if("object"!=typeof e.beginScope||null===e.beginScope)throw K("beginScope must be object"),
-G;Z(e,e.begin,{key:"beginScope"}),e.begin=E(e.begin,{joinWith:""})}})(e),(e=>{
-if(Array.isArray(e.end)){
-if(e.skip||e.excludeEnd||e.returnEnd)throw K("skip, excludeEnd, returnEnd not compatible with endScope: {}"),
-G
-;if("object"!=typeof e.endScope||null===e.endScope)throw K("endScope must be object"),
-G;Z(e,e.end,{key:"endScope"}),e.end=E(e.end,{joinWith:""})}})(e)}function V(e){
-function t(t,n){
-return RegExp(g(t),"m"+(e.case_insensitive?"i":"")+(e.unicodeRegex?"u":"")+(n?"g":""))
-}class n{constructor(){
-this.matchIndexes={},this.regexes=[],this.matchAt=1,this.position=0}
-addRule(e,t){
-t.position=this.position++,this.matchIndexes[this.matchAt]=t,this.regexes.push([t,e]),
-this.matchAt+=b(e)+1}compile(){0===this.regexes.length&&(this.exec=()=>null)
-;const e=this.regexes.map((e=>e[1]));this.matcherRe=t(E(e,{joinWith:"|"
-}),!0),this.lastIndex=0}exec(e){this.matcherRe.lastIndex=this.lastIndex
-;const t=this.matcherRe.exec(e);if(!t)return null
-;const n=t.findIndex(((e,t)=>t>0&&void 0!==e)),i=this.matchIndexes[n]
-;return t.splice(0,n),Object.assign(t,i)}}class i{constructor(){
-this.rules=[],this.multiRegexes=[],
-this.count=0,this.lastIndex=0,this.regexIndex=0}getMatcher(e){
-if(this.multiRegexes[e])return this.multiRegexes[e];const t=new n
-;return this.rules.slice(e).forEach((([e,n])=>t.addRule(e,n))),
-t.compile(),this.multiRegexes[e]=t,t}resumingScanAtSamePosition(){
-return 0!==this.regexIndex}considerAll(){this.regexIndex=0}addRule(e,t){
-this.rules.push([e,t]),"begin"===t.type&&this.count++}exec(e){
-const t=this.getMatcher(this.regexIndex);t.lastIndex=this.lastIndex
-;let n=t.exec(e)
-;if(this.resumingScanAtSamePosition())if(n&&n.index===this.lastIndex);else{
-const t=this.getMatcher(0);t.lastIndex=this.lastIndex+1,n=t.exec(e)}
-return n&&(this.regexIndex+=n.position+1,
-this.regexIndex===this.count&&this.considerAll()),n}}
-if(e.compilerExtensions||(e.compilerExtensions=[]),
-e.contains&&e.contains.includes("self"))throw Error("ERR: contains `self` is not supported at the top-level of a language.  See documentation.")
-;return e.classNameAliases=s(e.classNameAliases||{}),function n(r,o){const a=r
-;if(r.isCompiled)return a
-;[T,D,F,P].forEach((e=>e(r,o))),e.compilerExtensions.forEach((e=>e(r,o))),
-r.__beforeBegin=null,[L,B,H].forEach((e=>e(r,o))),r.isCompiled=!0;let c=null
-;return"object"==typeof r.keywords&&r.keywords.$pattern&&(r.keywords=Object.assign({},r.keywords),
-c=r.keywords.$pattern,
-delete r.keywords.$pattern),c=c||/\w+/,r.keywords&&(r.keywords=$(r.keywords,e.case_insensitive)),
-a.keywordPatternRe=t(c,!0),
-o&&(r.begin||(r.begin=/\B|\b/),a.beginRe=t(a.begin),r.end||r.endsWithParent||(r.end=/\B|\b/),
-r.end&&(a.endRe=t(a.end)),
-a.terminatorEnd=g(a.end)||"",r.endsWithParent&&o.terminatorEnd&&(a.terminatorEnd+=(r.end?"|":"")+o.terminatorEnd)),
-r.illegal&&(a.illegalRe=t(r.illegal)),
-r.contains||(r.contains=[]),r.contains=[].concat(...r.contains.map((e=>(e=>(e.variants&&!e.cachedVariants&&(e.cachedVariants=e.variants.map((t=>s(e,{
-variants:null},t)))),e.cachedVariants?e.cachedVariants:q(e)?s(e,{
-starts:e.starts?s(e.starts):null
-}):Object.isFrozen(e)?s(e):e))("self"===e?r:e)))),r.contains.forEach((e=>{n(e,a)
-})),r.starts&&n(r.starts,o),a.matcher=(e=>{const t=new i
-;return e.contains.forEach((e=>t.addRule(e.begin,{rule:e,type:"begin"
-}))),e.terminatorEnd&&t.addRule(e.terminatorEnd,{type:"end"
-}),e.illegal&&t.addRule(e.illegal,{type:"illegal"}),t})(a),a}(e)}function q(e){
-return!!e&&(e.endsWithParent||q(e.starts))}class J extends Error{
-constructor(e,t){super(e),this.name="HTMLInjectionError",this.html=t}}
-const Y=r,Q=s,ee=Symbol("nomatch");var te=(e=>{
-const t=Object.create(null),r=Object.create(null),s=[];let o=!0
-;const a="Could not find the language '{}', did you forget to load/include a language module?",c={
-disableAutodetect:!0,name:"Plain text",contains:[]};let g={
-ignoreUnescapedHTML:!1,throwUnescapedHTML:!1,noHighlightRe:/^(no-?highlight)$/i,
-languageDetectRe:/\blang(?:uage)?-([\w-]+)\b/i,classPrefix:"hljs-",
-cssSelector:"pre code",languages:null,__emitter:l};function b(e){
-return g.noHighlightRe.test(e)}function m(e,t,n){let i="",r=""
-;"object"==typeof t?(i=e,
-n=t.ignoreIllegals,r=t.language):(X("10.7.0","highlight(lang, code, ...args) has been deprecated."),
-X("10.7.0","Please use highlight(code, options) instead.\nhttps://github.com/highlightjs/highlight.js/issues/2277"),
-r=e,i=t),void 0===n&&(n=!0);const s={code:i,language:r};N("before:highlight",s)
-;const o=s.result?s.result:E(s.language,s.code,n)
-;return o.code=s.code,N("after:highlight",o),o}function E(e,n,r,s){
-const c=Object.create(null);function l(){if(!O.keywords)return void M.addText(S)
-;let e=0;O.keywordPatternRe.lastIndex=0;let t=O.keywordPatternRe.exec(S),n=""
-;for(;t;){n+=S.substring(e,t.index)
-;const r=y.case_insensitive?t[0].toLowerCase():t[0],s=(i=r,O.keywords[i]);if(s){
-const[e,i]=s
-;if(M.addText(n),n="",c[r]=(c[r]||0)+1,c[r]<=7&&(R+=i),e.startsWith("_"))n+=t[0];else{
-const n=y.classNameAliases[e]||e;M.addKeyword(t[0],n)}}else n+=t[0]
-;e=O.keywordPatternRe.lastIndex,t=O.keywordPatternRe.exec(S)}var i
-;n+=S.substr(e),M.addText(n)}function d(){null!=O.subLanguage?(()=>{
-if(""===S)return;let e=null;if("string"==typeof O.subLanguage){
-if(!t[O.subLanguage])return void M.addText(S)
-;e=E(O.subLanguage,S,!0,N[O.subLanguage]),N[O.subLanguage]=e._top
-}else e=x(S,O.subLanguage.length?O.subLanguage:null)
-;O.relevance>0&&(R+=e.relevance),M.addSublanguage(e._emitter,e.language)
-})():l(),S=""}function u(e,t){let n=1;const i=t.length-1;for(;n<=i;){
-if(!e._emit[n]){n++;continue}const i=y.classNameAliases[e[n]]||e[n],r=t[n]
-;i?M.addKeyword(r,i):(S=r,l(),S=""),n++}}function h(e,t){
-return e.scope&&"string"==typeof e.scope&&M.openNode(y.classNameAliases[e.scope]||e.scope),
-e.beginScope&&(e.beginScope._wrap?(M.addKeyword(S,y.classNameAliases[e.beginScope._wrap]||e.beginScope._wrap),
-S=""):e.beginScope._multi&&(u(e.beginScope,t),S="")),O=Object.create(e,{parent:{
-value:O}}),O}function f(e,t,n){let r=((e,t)=>{const n=e&&e.exec(t)
-;return n&&0===n.index})(e.endRe,n);if(r){if(e["on:end"]){const n=new i(e)
-;e["on:end"](t,n),n.isMatchIgnored&&(r=!1)}if(r){
-for(;e.endsParent&&e.parent;)e=e.parent;return e}}
-if(e.endsWithParent)return f(e.parent,t,n)}function p(e){
-return 0===O.matcher.regexIndex?(S+=e[0],1):(I=!0,0)}function b(e){
-const t=e[0],i=n.substr(e.index),r=f(O,e,i);if(!r)return ee;const s=O
-;O.endScope&&O.endScope._wrap?(d(),
-M.addKeyword(t,O.endScope._wrap)):O.endScope&&O.endScope._multi?(d(),
-u(O.endScope,e)):s.skip?S+=t:(s.returnEnd||s.excludeEnd||(S+=t),
-d(),s.excludeEnd&&(S=t));do{
-O.scope&&M.closeNode(),O.skip||O.subLanguage||(R+=O.relevance),O=O.parent
-}while(O!==r.parent);return r.starts&&h(r.starts,e),s.returnEnd?0:t.length}
-let m={};function w(t,s){const a=s&&s[0];if(S+=t,null==a)return d(),0
-;if("begin"===m.type&&"end"===s.type&&m.index===s.index&&""===a){
-if(S+=n.slice(s.index,s.index+1),!o){const t=Error(`0 width match regex (${e})`)
-;throw t.languageName=e,t.badRule=m.rule,t}return 1}
-if(m=s,"begin"===s.type)return(e=>{
-const t=e[0],n=e.rule,r=new i(n),s=[n.__beforeBegin,n["on:begin"]]
-;for(const n of s)if(n&&(n(e,r),r.isMatchIgnored))return p(t)
-;return n.skip?S+=t:(n.excludeBegin&&(S+=t),
-d(),n.returnBegin||n.excludeBegin||(S=t)),h(n,e),n.returnBegin?0:t.length})(s)
-;if("illegal"===s.type&&!r){
-const e=Error('Illegal lexeme "'+a+'" for mode "'+(O.scope||"<unnamed>")+'"')
-;throw e.mode=O,e}if("end"===s.type){const e=b(s);if(e!==ee)return e}
-if("illegal"===s.type&&""===a)return 1
-;if(A>1e5&&A>3*s.index)throw Error("potential infinite loop, way more iterations than matches")
-;return S+=a,a.length}const y=k(e)
-;if(!y)throw K(a.replace("{}",e)),Error('Unknown language: "'+e+'"')
-;const _=V(y);let v="",O=s||_;const N={},M=new g.__emitter(g);(()=>{const e=[]
-;for(let t=O;t!==y;t=t.parent)t.scope&&e.unshift(t.scope)
-;e.forEach((e=>M.openNode(e)))})();let S="",R=0,j=0,A=0,I=!1;try{
-for(O.matcher.considerAll();;){
-A++,I?I=!1:O.matcher.considerAll(),O.matcher.lastIndex=j
-;const e=O.matcher.exec(n);if(!e)break;const t=w(n.substring(j,e.index),e)
-;j=e.index+t}return w(n.substr(j)),M.closeAllNodes(),M.finalize(),v=M.toHTML(),{
-language:e,value:v,relevance:R,illegal:!1,_emitter:M,_top:O}}catch(t){
-if(t.message&&t.message.includes("Illegal"))return{language:e,value:Y(n),
-illegal:!0,relevance:0,_illegalBy:{message:t.message,index:j,
-context:n.slice(j-100,j+100),mode:t.mode,resultSoFar:v},_emitter:M};if(o)return{
-language:e,value:Y(n),illegal:!1,relevance:0,errorRaised:t,_emitter:M,_top:O}
-;throw t}}function x(e,n){n=n||g.languages||Object.keys(t);const i=(e=>{
-const t={value:Y(e),illegal:!1,relevance:0,_top:c,_emitter:new g.__emitter(g)}
-;return t._emitter.addText(e),t})(e),r=n.filter(k).filter(O).map((t=>E(t,e,!1)))
-;r.unshift(i);const s=r.sort(((e,t)=>{
-if(e.relevance!==t.relevance)return t.relevance-e.relevance
-;if(e.language&&t.language){if(k(e.language).supersetOf===t.language)return 1
-;if(k(t.language).supersetOf===e.language)return-1}return 0})),[o,a]=s,l=o
-;return l.secondBest=a,l}function w(e){let t=null;const n=(e=>{
-let t=e.className+" ";t+=e.parentNode?e.parentNode.className:""
-;const n=g.languageDetectRe.exec(t);if(n){const t=k(n[1])
-;return t||(W(a.replace("{}",n[1])),
-W("Falling back to no-highlight mode for this block.",e)),t?n[1]:"no-highlight"}
-return t.split(/\s+/).find((e=>b(e)||k(e)))})(e);if(b(n))return
-;if(N("before:highlightElement",{el:e,language:n
-}),e.children.length>0&&(g.ignoreUnescapedHTML||(console.warn("One of your code blocks includes unescaped HTML. This is a potentially serious security risk."),
-console.warn("https://github.com/highlightjs/highlight.js/wiki/security"),
-console.warn("The element with unescaped HTML:"),
-console.warn(e)),g.throwUnescapedHTML))throw new J("One of your code blocks includes unescaped HTML.",e.innerHTML)
-;t=e;const i=t.textContent,s=n?m(i,{language:n,ignoreIllegals:!0}):x(i)
-;e.innerHTML=s.value,((e,t,n)=>{const i=t&&r[t]||n
-;e.classList.add("hljs"),e.classList.add("language-"+i)
-})(e,n,s.language),e.result={language:s.language,re:s.relevance,
-relevance:s.relevance},s.secondBest&&(e.secondBest={
-language:s.secondBest.language,relevance:s.secondBest.relevance
-}),N("after:highlightElement",{el:e,result:s,text:i})}let y=!1;function _(){
-"loading"!==document.readyState?document.querySelectorAll(g.cssSelector).forEach(w):y=!0
-}function k(e){return e=(e||"").toLowerCase(),t[e]||t[r[e]]}
-function v(e,{languageName:t}){"string"==typeof e&&(e=[e]),e.forEach((e=>{
-r[e.toLowerCase()]=t}))}function O(e){const t=k(e)
-;return t&&!t.disableAutodetect}function N(e,t){const n=e;s.forEach((e=>{
-e[n]&&e[n](t)}))}
-"undefined"!=typeof window&&window.addEventListener&&window.addEventListener("DOMContentLoaded",(()=>{
-y&&_()}),!1),Object.assign(e,{highlight:m,highlightAuto:x,highlightAll:_,
-highlightElement:w,
-highlightBlock:e=>(X("10.7.0","highlightBlock will be removed entirely in v12.0"),
-X("10.7.0","Please use highlightElement now."),w(e)),configure:e=>{g=Q(g,e)},
-initHighlighting:()=>{
-_(),X("10.6.0","initHighlighting() deprecated.  Use highlightAll() now.")},
-initHighlightingOnLoad:()=>{
-_(),X("10.6.0","initHighlightingOnLoad() deprecated.  Use highlightAll() now.")
-},registerLanguage:(n,i)=>{let r=null;try{r=i(e)}catch(e){
-if(K("Language definition for '{}' could not be registered.".replace("{}",n)),
-!o)throw e;K(e),r=c}
-r.name||(r.name=n),t[n]=r,r.rawDefinition=i.bind(null,e),r.aliases&&v(r.aliases,{
-languageName:n})},unregisterLanguage:e=>{delete t[e]
-;for(const t of Object.keys(r))r[t]===e&&delete r[t]},
-listLanguages:()=>Object.keys(t),getLanguage:k,registerAliases:v,
-autoDetection:O,inherit:Q,addPlugin:e=>{(e=>{
-e["before:highlightBlock"]&&!e["before:highlightElement"]&&(e["before:highlightElement"]=t=>{
-e["before:highlightBlock"](Object.assign({block:t.el},t))
-}),e["after:highlightBlock"]&&!e["after:highlightElement"]&&(e["after:highlightElement"]=t=>{
-e["after:highlightBlock"](Object.assign({block:t.el},t))})})(e),s.push(e)}
-}),e.debugMode=()=>{o=!1},e.safeMode=()=>{o=!0
-},e.versionString="11.5.1",e.regex={concat:f,lookahead:d,either:p,optional:h,
-anyNumberOfTimes:u};for(const e in A)"object"==typeof A[e]&&n(A[e])
-;return Object.assign(e,A),e})({});return te}()
-;"object"==typeof exports&&"undefined"!=typeof module&&(module.exports=hljs);/*! `bash` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var e=(()=>{"use strict";return e=>{const s=e.regex,t={},n={begin:/\$\{/,
-end:/\}/,contains:["self",{begin:/:-/,contains:[t]}]};Object.assign(t,{
-className:"variable",variants:[{
-begin:s.concat(/\$[\w\d#@][\w\d_]*/,"(?![\\w\\d])(?![$])")},n]});const a={
-className:"subst",begin:/\$\(/,end:/\)/,contains:[e.BACKSLASH_ESCAPE]},i={
-begin:/<<-?\s*(?=\w+)/,starts:{contains:[e.END_SAME_AS_BEGIN({begin:/(\w+)/,
-end:/(\w+)/,className:"string"})]}},c={className:"string",begin:/"/,end:/"/,
-contains:[e.BACKSLASH_ESCAPE,t,a]};a.contains.push(c);const o={begin:/\$\(\(/,
-end:/\)\)/,contains:[{begin:/\d+#[0-9a-f]+/,className:"number"},e.NUMBER_MODE,t]
-},r=e.SHEBANG({binary:"(fish|bash|zsh|sh|csh|ksh|tcsh|dash|scsh)",relevance:10
-}),l={className:"function",begin:/\w[\w\d_]*\s*\(\s*\)\s*\{/,returnBegin:!0,
-contains:[e.inherit(e.TITLE_MODE,{begin:/\w[\w\d_]*/})],relevance:0};return{
-name:"Bash",aliases:["sh"],keywords:{$pattern:/\b[a-z][a-z0-9._-]+\b/,
-keyword:["if","then","else","elif","fi","for","while","in","do","done","case","esac","function"],
-literal:["true","false"],
-built_in:["break","cd","continue","eval","exec","exit","export","getopts","hash","pwd","readonly","return","shift","test","times","trap","umask","unset","alias","bind","builtin","caller","command","declare","echo","enable","help","let","local","logout","mapfile","printf","read","readarray","source","type","typeset","ulimit","unalias","set","shopt","autoload","bg","bindkey","bye","cap","chdir","clone","comparguments","compcall","compctl","compdescribe","compfiles","compgroups","compquote","comptags","comptry","compvalues","dirs","disable","disown","echotc","echoti","emulate","fc","fg","float","functions","getcap","getln","history","integer","jobs","kill","limit","log","noglob","popd","print","pushd","pushln","rehash","sched","setcap","setopt","stat","suspend","ttyctl","unfunction","unhash","unlimit","unsetopt","vared","wait","whence","where","which","zcompile","zformat","zftp","zle","zmodload","zparseopts","zprof","zpty","zregexparse","zsocket","zstyle","ztcp","chcon","chgrp","chown","chmod","cp","dd","df","dir","dircolors","ln","ls","mkdir","mkfifo","mknod","mktemp","mv","realpath","rm","rmdir","shred","sync","touch","truncate","vdir","b2sum","base32","base64","cat","cksum","comm","csplit","cut","expand","fmt","fold","head","join","md5sum","nl","numfmt","od","paste","ptx","pr","sha1sum","sha224sum","sha256sum","sha384sum","sha512sum","shuf","sort","split","sum","tac","tail","tr","tsort","unexpand","uniq","wc","arch","basename","chroot","date","dirname","du","echo","env","expr","factor","groups","hostid","id","link","logname","nice","nohup","nproc","pathchk","pinky","printenv","printf","pwd","readlink","runcon","seq","sleep","stat","stdbuf","stty","tee","test","timeout","tty","uname","unlink","uptime","users","who","whoami","yes"]
-},contains:[r,e.SHEBANG(),l,o,e.HASH_COMMENT_MODE,i,{match:/(\/[a-z._-]+)+/},c,{
-className:"",begin:/\\"/},{className:"string",begin:/'/,end:/'/},t]}}})()
-;hljs.registerLanguage("bash",e)})();/*! `cpp` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var e=(()=>{"use strict";return e=>{const t=e.regex,a=e.COMMENT("//","$",{
-contains:[{begin:/\\\n/}]
-}),n="[a-zA-Z_]\\w*::",r="(?!struct)(decltype\\(auto\\)|"+t.optional(n)+"[a-zA-Z_]\\w*"+t.optional("<[^<>]+>")+")",i={
-className:"type",begin:"\\b[a-z\\d_]*_t\\b"},s={className:"string",variants:[{
-begin:'(u8?|U|L)?"',end:'"',illegal:"\\n",contains:[e.BACKSLASH_ESCAPE]},{
-begin:"(u8?|U|L)?'(\\\\(x[0-9A-Fa-f]{2}|u[0-9A-Fa-f]{4,8}|[0-7]{3}|\\S)|.)",
-end:"'",illegal:"."},e.END_SAME_AS_BEGIN({
-begin:/(?:u8?|U|L)?R"([^()\\ ]{0,16})\(/,end:/\)([^()\\ ]{0,16})"/})]},c={
-className:"number",variants:[{begin:"\\b(0b[01']+)"},{
-begin:"(-?)\\b([\\d']+(\\.[\\d']*)?|\\.[\\d']+)((ll|LL|l|L)(u|U)?|(u|U)(ll|LL|l|L)?|f|F|b|B)"
-},{
-begin:"(-?)(\\b0[xX][a-fA-F0-9']+|(\\b[\\d']+(\\.[\\d']*)?|\\.[\\d']+)([eE][-+]?[\\d']+)?)"
-}],relevance:0},o={className:"meta",begin:/#\s*[a-z]+\b/,end:/$/,keywords:{
-keyword:"if else elif endif define undef warning error line pragma _Pragma ifdef ifndef include"
-},contains:[{begin:/\\\n/,relevance:0},e.inherit(s,{className:"string"}),{
-className:"string",begin:/<.*?>/},a,e.C_BLOCK_COMMENT_MODE]},l={
-className:"title",begin:t.optional(n)+e.IDENT_RE,relevance:0
-},d=t.optional(n)+e.IDENT_RE+"\\s*\\(",u={
-type:["bool","char","char16_t","char32_t","char8_t","double","float","int","long","short","void","wchar_t","unsigned","signed","const","static"],
-keyword:["alignas","alignof","and","and_eq","asm","atomic_cancel","atomic_commit","atomic_noexcept","auto","bitand","bitor","break","case","catch","class","co_await","co_return","co_yield","compl","concept","const_cast|10","consteval","constexpr","constinit","continue","decltype","default","delete","do","dynamic_cast|10","else","enum","explicit","export","extern","false","final","for","friend","goto","if","import","inline","module","mutable","namespace","new","noexcept","not","not_eq","nullptr","operator","or","or_eq","override","private","protected","public","reflexpr","register","reinterpret_cast|10","requires","return","sizeof","static_assert","static_cast|10","struct","switch","synchronized","template","this","thread_local","throw","transaction_safe","transaction_safe_dynamic","true","try","typedef","typeid","typename","union","using","virtual","volatile","while","xor","xor_eq"],
-literal:["NULL","false","nullopt","nullptr","true"],built_in:["_Pragma"],
-_type_hints:["any","auto_ptr","barrier","binary_semaphore","bitset","complex","condition_variable","condition_variable_any","counting_semaphore","deque","false_type","future","imaginary","initializer_list","istringstream","jthread","latch","lock_guard","multimap","multiset","mutex","optional","ostringstream","packaged_task","pair","promise","priority_queue","queue","recursive_mutex","recursive_timed_mutex","scoped_lock","set","shared_future","shared_lock","shared_mutex","shared_timed_mutex","shared_ptr","stack","string_view","stringstream","timed_mutex","thread","true_type","tuple","unique_lock","unique_ptr","unordered_map","unordered_multimap","unordered_multiset","unordered_set","variant","vector","weak_ptr","wstring","wstring_view"]
-},p={className:"function.dispatch",relevance:0,keywords:{
-_hint:["abort","abs","acos","apply","as_const","asin","atan","atan2","calloc","ceil","cerr","cin","clog","cos","cosh","cout","declval","endl","exchange","exit","exp","fabs","floor","fmod","forward","fprintf","fputs","free","frexp","fscanf","future","invoke","isalnum","isalpha","iscntrl","isdigit","isgraph","islower","isprint","ispunct","isspace","isupper","isxdigit","labs","launder","ldexp","log","log10","make_pair","make_shared","make_shared_for_overwrite","make_tuple","make_unique","malloc","memchr","memcmp","memcpy","memset","modf","move","pow","printf","putchar","puts","realloc","scanf","sin","sinh","snprintf","sprintf","sqrt","sscanf","std","stderr","stdin","stdout","strcat","strchr","strcmp","strcpy","strcspn","strlen","strncat","strncmp","strncpy","strpbrk","strrchr","strspn","strstr","swap","tan","tanh","terminate","to_underlying","tolower","toupper","vfprintf","visit","vprintf","vsprintf"]
-},
-begin:t.concat(/\b/,/(?!decltype)/,/(?!if)/,/(?!for)/,/(?!switch)/,/(?!while)/,e.IDENT_RE,t.lookahead(/(<[^<>]+>|)\s*\(/))
-},_=[p,o,i,a,e.C_BLOCK_COMMENT_MODE,c,s],m={variants:[{begin:/=/,end:/;/},{
-begin:/\(/,end:/\)/},{beginKeywords:"new throw return else",end:/;/}],
-keywords:u,contains:_.concat([{begin:/\(/,end:/\)/,keywords:u,
-contains:_.concat(["self"]),relevance:0}]),relevance:0},g={className:"function",
-begin:"("+r+"[\\*&\\s]+)+"+d,returnBegin:!0,end:/[{;=]/,excludeEnd:!0,
-keywords:u,illegal:/[^\w\s\*&:<>.]/,contains:[{begin:"decltype\\(auto\\)",
-keywords:u,relevance:0},{begin:d,returnBegin:!0,contains:[l],relevance:0},{
-begin:/::/,relevance:0},{begin:/:/,endsWithParent:!0,contains:[s,c]},{
-relevance:0,match:/,/},{className:"params",begin:/\(/,end:/\)/,keywords:u,
-relevance:0,contains:[a,e.C_BLOCK_COMMENT_MODE,s,c,i,{begin:/\(/,end:/\)/,
-keywords:u,relevance:0,contains:["self",a,e.C_BLOCK_COMMENT_MODE,s,c,i]}]
-},i,a,e.C_BLOCK_COMMENT_MODE,o]};return{name:"C++",
-aliases:["cc","c++","h++","hpp","hh","hxx","cxx"],keywords:u,illegal:"</",
-classNameAliases:{"function.dispatch":"built_in"},
-contains:[].concat(m,g,p,_,[o,{
-begin:"\\b(deque|list|queue|priority_queue|pair|stack|vector|map|set|bitset|multiset|multimap|unordered_map|unordered_set|unordered_multiset|unordered_multimap|array|tuple|optional|variant|function)\\s*<(?!<)",
-end:">",keywords:u,contains:["self",i]},{begin:e.IDENT_RE+"::",keywords:u},{
-match:[/\b(?:enum(?:\s+(?:class|struct))?|class|struct|union)/,/\s+/,/\w+/],
-className:{1:"keyword",3:"title.class"}}])}}})();hljs.registerLanguage("cpp",e)
-})();/*! `c` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var e=(()=>{"use strict";return e=>{const n=e.regex,t=e.COMMENT("//","$",{
-contains:[{begin:/\\\n/}]
-}),s="[a-zA-Z_]\\w*::",a="(decltype\\(auto\\)|"+n.optional(s)+"[a-zA-Z_]\\w*"+n.optional("<[^<>]+>")+")",r={
-className:"type",variants:[{begin:"\\b[a-z\\d_]*_t\\b"},{
-match:/\batomic_[a-z]{3,6}\b/}]},i={className:"string",variants:[{
-begin:'(u8?|U|L)?"',end:'"',illegal:"\\n",contains:[e.BACKSLASH_ESCAPE]},{
-begin:"(u8?|U|L)?'(\\\\(x[0-9A-Fa-f]{2}|u[0-9A-Fa-f]{4,8}|[0-7]{3}|\\S)|.)",
-end:"'",illegal:"."},e.END_SAME_AS_BEGIN({
-begin:/(?:u8?|U|L)?R"([^()\\ ]{0,16})\(/,end:/\)([^()\\ ]{0,16})"/})]},l={
-className:"number",variants:[{begin:"\\b(0b[01']+)"},{
-begin:"(-?)\\b([\\d']+(\\.[\\d']*)?|\\.[\\d']+)((ll|LL|l|L)(u|U)?|(u|U)(ll|LL|l|L)?|f|F|b|B)"
-},{
-begin:"(-?)(\\b0[xX][a-fA-F0-9']+|(\\b[\\d']+(\\.[\\d']*)?|\\.[\\d']+)([eE][-+]?[\\d']+)?)"
-}],relevance:0},o={className:"meta",begin:/#\s*[a-z]+\b/,end:/$/,keywords:{
-keyword:"if else elif endif define undef warning error line pragma _Pragma ifdef ifndef include"
-},contains:[{begin:/\\\n/,relevance:0},e.inherit(i,{className:"string"}),{
-className:"string",begin:/<.*?>/},t,e.C_BLOCK_COMMENT_MODE]},c={
-className:"title",begin:n.optional(s)+e.IDENT_RE,relevance:0
-},d=n.optional(s)+e.IDENT_RE+"\\s*\\(",u={
-keyword:["asm","auto","break","case","continue","default","do","else","enum","extern","for","fortran","goto","if","inline","register","restrict","return","sizeof","struct","switch","typedef","union","volatile","while","_Alignas","_Alignof","_Atomic","_Generic","_Noreturn","_Static_assert","_Thread_local","alignas","alignof","noreturn","static_assert","thread_local","_Pragma"],
-type:["float","double","signed","unsigned","int","short","long","char","void","_Bool","_Complex","_Imaginary","_Decimal32","_Decimal64","_Decimal128","const","static","complex","bool","imaginary"],
-literal:"true false NULL",
-built_in:"std string wstring cin cout cerr clog stdin stdout stderr stringstream istringstream ostringstream auto_ptr deque list queue stack vector map set pair bitset multiset multimap unordered_set unordered_map unordered_multiset unordered_multimap priority_queue make_pair array shared_ptr abort terminate abs acos asin atan2 atan calloc ceil cosh cos exit exp fabs floor fmod fprintf fputs free frexp fscanf future isalnum isalpha iscntrl isdigit isgraph islower isprint ispunct isspace isupper isxdigit tolower toupper labs ldexp log10 log malloc realloc memchr memcmp memcpy memset modf pow printf putchar puts scanf sinh sin snprintf sprintf sqrt sscanf strcat strchr strcmp strcpy strcspn strlen strncat strncmp strncpy strpbrk strrchr strspn strstr tanh tan vfprintf vprintf vsprintf endl initializer_list unique_ptr"
-},g=[o,r,t,e.C_BLOCK_COMMENT_MODE,l,i],m={variants:[{begin:/=/,end:/;/},{
-begin:/\(/,end:/\)/},{beginKeywords:"new throw return else",end:/;/}],
-keywords:u,contains:g.concat([{begin:/\(/,end:/\)/,keywords:u,
-contains:g.concat(["self"]),relevance:0}]),relevance:0},p={
-begin:"("+a+"[\\*&\\s]+)+"+d,returnBegin:!0,end:/[{;=]/,excludeEnd:!0,
-keywords:u,illegal:/[^\w\s\*&:<>.]/,contains:[{begin:"decltype\\(auto\\)",
-keywords:u,relevance:0},{begin:d,returnBegin:!0,contains:[e.inherit(c,{
-className:"title.function"})],relevance:0},{relevance:0,match:/,/},{
-className:"params",begin:/\(/,end:/\)/,keywords:u,relevance:0,
-contains:[t,e.C_BLOCK_COMMENT_MODE,i,l,r,{begin:/\(/,end:/\)/,keywords:u,
-relevance:0,contains:["self",t,e.C_BLOCK_COMMENT_MODE,i,l,r]}]
-},r,t,e.C_BLOCK_COMMENT_MODE,o]};return{name:"C",aliases:["h"],keywords:u,
-disableAutodetect:!0,illegal:"</",contains:[].concat(m,p,g,[o,{
-begin:e.IDENT_RE+"::",keywords:u},{className:"class",
-beginKeywords:"enum class struct union",end:/[{;:<>=]/,contains:[{
-beginKeywords:"final class struct"},e.TITLE_MODE]}]),exports:{preprocessor:o,
-strings:i,keywords:u}}}})();hljs.registerLanguage("c",e)})();/*! `plaintext` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var t=(()=>{"use strict";return t=>({name:"Plain text",
-aliases:["text","txt"],disableAutodetect:!0})})()
-;hljs.registerLanguage("plaintext",t)})();/*! `ini` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var e=(()=>{"use strict";return e=>{const n=e.regex,a={className:"number",
-relevance:0,variants:[{begin:/([+-]+)?[\d]+_[\d_]+/},{begin:e.NUMBER_RE}]
-},s=e.COMMENT();s.variants=[{begin:/;/,end:/$/},{begin:/#/,end:/$/}];const i={
-className:"variable",variants:[{begin:/\$[\w\d"][\w\d_]*/},{begin:/\$\{(.*?)\}/
-}]},t={className:"literal",begin:/\bon|off|true|false|yes|no\b/},r={
-className:"string",contains:[e.BACKSLASH_ESCAPE],variants:[{begin:"'''",
-end:"'''",relevance:10},{begin:'"""',end:'"""',relevance:10},{begin:'"',end:'"'
-},{begin:"'",end:"'"}]},l={begin:/\[/,end:/\]/,contains:[s,t,i,r,a,"self"],
-relevance:0},c=n.either(/[A-Za-z0-9_-]+/,/"(\\"|[^"])*"/,/'[^']*'/);return{
-name:"TOML, also INI",aliases:["toml"],case_insensitive:!0,illegal:/\S/,
-contains:[s,{className:"section",begin:/\[+/,end:/\]+/},{
-begin:n.concat(c,"(\\s*\\.\\s*",c,")*",n.lookahead(/\s*=\s*[^#\s]/)),
-className:"attr",starts:{end:/$/,contains:[s,l,t,i,r,a]}}]}}})()
-;hljs.registerLanguage("ini",e)})();/*! `json` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var e=(()=>{"use strict";return e=>({name:"JSON",contains:[{
-className:"attr",begin:/"(\\.|[^\\"\r\n])*"(?=\s*:)/,relevance:1.01},{
-match:/[{}[\],:]/,className:"punctuation",relevance:0},e.QUOTE_STRING_MODE,{
-beginKeywords:"true false null"
-},e.C_NUMBER_MODE,e.C_LINE_COMMENT_MODE,e.C_BLOCK_COMMENT_MODE],illegal:"\\S"})
-})();hljs.registerLanguage("json",e)})();/*! `llvm` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var e=(()=>{"use strict";return e=>{
-const a=e.regex,n=/([-a-zA-Z$._][\w$.-]*)/,t={className:"variable",variants:[{
-begin:a.concat(/%/,n)},{begin:/%\d+/},{begin:/#\d+/}]},i={className:"title",
-variants:[{begin:a.concat(/@/,n)},{begin:/@\d+/},{begin:a.concat(/!/,n)},{
-begin:a.concat(/!\d+/,n)},{begin:/!\d+/}]};return{name:"LLVM IR",
-keywords:"begin end true false declare define global constant private linker_private internal available_externally linkonce linkonce_odr weak weak_odr appending dllimport dllexport common default hidden protected extern_weak external thread_local zeroinitializer undef null to tail target triple datalayout volatile nuw nsw nnan ninf nsz arcp fast exact inbounds align addrspace section alias module asm sideeffect gc dbg linker_private_weak attributes blockaddress initialexec localdynamic localexec prefix unnamed_addr ccc fastcc coldcc x86_stdcallcc x86_fastcallcc arm_apcscc arm_aapcscc arm_aapcs_vfpcc ptx_device ptx_kernel intel_ocl_bicc msp430_intrcc spir_func spir_kernel x86_64_sysvcc x86_64_win64cc x86_thiscallcc cc c signext zeroext inreg sret nounwind noreturn noalias nocapture byval nest readnone readonly inlinehint noinline alwaysinline optsize ssp sspreq noredzone noimplicitfloat naked builtin cold nobuiltin noduplicate nonlazybind optnone returns_twice sanitize_address sanitize_memory sanitize_thread sspstrong uwtable returned type opaque eq ne slt sgt sle sge ult ugt ule uge oeq one olt ogt ole oge ord uno ueq une x acq_rel acquire alignstack atomic catch cleanup filter inteldialect max min monotonic nand personality release seq_cst singlethread umax umin unordered xchg add fadd sub fsub mul fmul udiv sdiv fdiv urem srem frem shl lshr ashr and or xor icmp fcmp phi call trunc zext sext fptrunc fpext uitofp sitofp fptoui fptosi inttoptr ptrtoint bitcast addrspacecast select va_arg ret br switch invoke unwind unreachable indirectbr landingpad resume malloc alloca free load store getelementptr extractelement insertelement shufflevector getresult extractvalue insertvalue atomicrmw cmpxchg fence argmemonly double",
-contains:[{className:"type",begin:/\bi\d+(?=\s|\b)/},e.COMMENT(/;\s*$/,null,{
-relevance:0}),e.COMMENT(/;/,/$/),{className:"string",begin:/"/,end:/"/,
-contains:[{className:"char.escape",match:/\\\d\d/}]},i,{className:"punctuation",
-relevance:0,begin:/,/},{className:"operator",relevance:0,begin:/=/},t,{
-className:"symbol",variants:[{begin:/^\s*[a-z]+:/}],relevance:0},{
-className:"number",variants:[{begin:/[su]?0[xX][KMLHR]?[a-fA-F0-9]+/},{
-begin:/[-+]?\d+(?:[.]\d+)?(?:[eE][-+]?\d+(?:[.]\d+)?)?/}],relevance:0}]}}})()
-;hljs.registerLanguage("llvm",e)})();/*! `julia` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var e=(()=>{"use strict";return e=>{
-const r="[A-Za-z_\\u00A1-\\uFFFF][A-Za-z_0-9\\u00A1-\\uFFFF]*",t={$pattern:r,
-keyword:["baremodule","begin","break","catch","ccall","const","continue","do","else","elseif","end","export","false","finally","for","function","global","if","import","in","isa","let","local","macro","module","quote","return","true","try","using","where","while"],
-literal:["ARGS","C_NULL","DEPOT_PATH","ENDIAN_BOM","ENV","Inf","Inf16","Inf32","Inf64","InsertionSort","LOAD_PATH","MergeSort","NaN","NaN16","NaN32","NaN64","PROGRAM_FILE","QuickSort","RoundDown","RoundFromZero","RoundNearest","RoundNearestTiesAway","RoundNearestTiesUp","RoundToZero","RoundUp","VERSION|0","devnull","false","im","missing","nothing","pi","stderr","stdin","stdout","true","undef","\u03c0","\u212f"],
-built_in:["AbstractArray","AbstractChannel","AbstractChar","AbstractDict","AbstractDisplay","AbstractFloat","AbstractIrrational","AbstractMatrix","AbstractRange","AbstractSet","AbstractString","AbstractUnitRange","AbstractVecOrMat","AbstractVector","Any","ArgumentError","Array","AssertionError","BigFloat","BigInt","BitArray","BitMatrix","BitSet","BitVector","Bool","BoundsError","CapturedException","CartesianIndex","CartesianIndices","Cchar","Cdouble","Cfloat","Channel","Char","Cint","Cintmax_t","Clong","Clonglong","Cmd","Colon","Complex","ComplexF16","ComplexF32","ComplexF64","CompositeException","Condition","Cptrdiff_t","Cshort","Csize_t","Cssize_t","Cstring","Cuchar","Cuint","Cuintmax_t","Culong","Culonglong","Cushort","Cvoid","Cwchar_t","Cwstring","DataType","DenseArray","DenseMatrix","DenseVecOrMat","DenseVector","Dict","DimensionMismatch","Dims","DivideError","DomainError","EOFError","Enum","ErrorException","Exception","ExponentialBackOff","Expr","Float16","Float32","Float64","Function","GlobalRef","HTML","IO","IOBuffer","IOContext","IOStream","IdDict","IndexCartesian","IndexLinear","IndexStyle","InexactError","InitError","Int","Int128","Int16","Int32","Int64","Int8","Integer","InterruptException","InvalidStateException","Irrational","KeyError","LinRange","LineNumberNode","LinearIndices","LoadError","MIME","Matrix","Method","MethodError","Missing","MissingException","Module","NTuple","NamedTuple","Nothing","Number","OrdinalRange","OutOfMemoryError","OverflowError","Pair","PartialQuickSort","PermutedDimsArray","Pipe","ProcessFailedException","Ptr","QuoteNode","Rational","RawFD","ReadOnlyMemoryError","Real","ReentrantLock","Ref","Regex","RegexMatch","RoundingMode","SegmentationFault","Set","Signed","Some","StackOverflowError","StepRange","StepRangeLen","StridedArray","StridedMatrix","StridedVecOrMat","StridedVector","String","StringIndexError","SubArray","SubString","SubstitutionString","Symbol","SystemError","Task","TaskFailedException","Text","TextDisplay","Timer","Tuple","Type","TypeError","TypeVar","UInt","UInt128","UInt16","UInt32","UInt64","UInt8","UndefInitializer","UndefKeywordError","UndefRefError","UndefVarError","Union","UnionAll","UnitRange","Unsigned","Val","Vararg","VecElement","VecOrMat","Vector","VersionNumber","WeakKeyDict","WeakRef"]
-},n={keywords:t,illegal:/<\//},a={className:"subst",begin:/\$\(/,end:/\)/,
-keywords:t},i={className:"variable",begin:"\\$"+r},o={className:"string",
-contains:[e.BACKSLASH_ESCAPE,a,i],variants:[{begin:/\w*"""/,end:/"""\w*/,
-relevance:10},{begin:/\w*"/,end:/"\w*/}]},s={className:"string",
-contains:[e.BACKSLASH_ESCAPE,a,i],begin:"`",end:"`"},l={className:"meta",
-begin:"@"+r};return n.name="Julia",n.contains=[{className:"number",
-begin:/(\b0x[\d_]*(\.[\d_]*)?|0x\.\d[\d_]*)p[-+]?\d+|\b0[box][a-fA-F0-9][a-fA-F0-9_]*|(\b\d[\d_]*(\.[\d_]*)?|\.\d[\d_]*)([eEfF][-+]?\d+)?/,
-relevance:0},{className:"string",begin:/'(.|\\[xXuU][a-zA-Z0-9]+)'/},o,s,l,{
-className:"comment",variants:[{begin:"#=",end:"=#",relevance:10},{begin:"#",
-end:"$"}]},e.HASH_COMMENT_MODE,{className:"keyword",
-begin:"\\b(((abstract|primitive)\\s+)type|(mutable\\s+)?struct)\\b"},{begin:/<:/
-}],a.contains=n.contains,n}})();hljs.registerLanguage("julia",e)})();/*! `objectivec` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var e=(()=>{"use strict";return e=>{const n=/[a-zA-Z@][a-zA-Z0-9_]*/,_={
-$pattern:n,keyword:["@interface","@class","@protocol","@implementation"]}
-;return{name:"Objective-C",
-aliases:["mm","objc","obj-c","obj-c++","objective-c++"],keywords:{
-"variable.language":["this","super"],$pattern:n,
-keyword:["while","export","sizeof","typedef","const","struct","for","union","volatile","static","mutable","if","do","return","goto","enum","else","break","extern","asm","case","default","register","explicit","typename","switch","continue","inline","readonly","assign","readwrite","self","@synchronized","id","typeof","nonatomic","IBOutlet","IBAction","strong","weak","copy","in","out","inout","bycopy","byref","oneway","__strong","__weak","__block","__autoreleasing","@private","@protected","@public","@try","@property","@end","@throw","@catch","@finally","@autoreleasepool","@synthesize","@dynamic","@selector","@optional","@required","@encode","@package","@import","@defs","@compatibility_alias","__bridge","__bridge_transfer","__bridge_retained","__bridge_retain","__covariant","__contravariant","__kindof","_Nonnull","_Nullable","_Null_unspecified","__FUNCTION__","__PRETTY_FUNCTION__","__attribute__","getter","setter","retain","unsafe_unretained","nonnull","nullable","null_unspecified","null_resettable","class","instancetype","NS_DESIGNATED_INITIALIZER","NS_UNAVAILABLE","NS_REQUIRES_SUPER","NS_RETURNS_INNER_POINTER","NS_INLINE","NS_AVAILABLE","NS_DEPRECATED","NS_ENUM","NS_OPTIONS","NS_SWIFT_UNAVAILABLE","NS_ASSUME_NONNULL_BEGIN","NS_ASSUME_NONNULL_END","NS_REFINED_FOR_SWIFT","NS_SWIFT_NAME","NS_SWIFT_NOTHROW","NS_DURING","NS_HANDLER","NS_ENDHANDLER","NS_VALUERETURN","NS_VOIDRETURN"],
-literal:["false","true","FALSE","TRUE","nil","YES","NO","NULL"],
-built_in:["dispatch_once_t","dispatch_queue_t","dispatch_sync","dispatch_async","dispatch_once"],
-type:["int","float","char","unsigned","signed","short","long","double","wchar_t","unichar","void","bool","BOOL","id|0","_Bool"]
-},illegal:"</",contains:[{className:"built_in",
-begin:"\\b(AV|CA|CF|CG|CI|CL|CM|CN|CT|MK|MP|MTK|MTL|NS|SCN|SK|UI|WK|XC)\\w+"
-},e.C_LINE_COMMENT_MODE,e.C_BLOCK_COMMENT_MODE,e.C_NUMBER_MODE,e.QUOTE_STRING_MODE,e.APOS_STRING_MODE,{
-className:"string",variants:[{begin:'@"',end:'"',illegal:"\\n",
-contains:[e.BACKSLASH_ESCAPE]}]},{className:"meta",begin:/#\s*[a-z]+\b/,end:/$/,
-keywords:{
-keyword:"if else elif endif define undef warning error line pragma ifdef ifndef include"
-},contains:[{begin:/\\\n/,relevance:0},e.inherit(e.QUOTE_STRING_MODE,{
-className:"string"}),{className:"string",begin:/<.*?>/,end:/$/,illegal:"\\n"
-},e.C_LINE_COMMENT_MODE,e.C_BLOCK_COMMENT_MODE]},{className:"class",
-begin:"("+_.keyword.join("|")+")\\b",end:/(\{|$)/,excludeEnd:!0,keywords:_,
-contains:[e.UNDERSCORE_TITLE_MODE]},{begin:"\\."+e.UNDERSCORE_IDENT_RE,
-relevance:0}]}}})();hljs.registerLanguage("objectivec",e)})();/*! `python` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var e=(()=>{"use strict";return e=>{
-const n=e.regex,a=/[\p{XID_Start}_]\p{XID_Continue}*/u,i=["and","as","assert","async","await","break","class","continue","def","del","elif","else","except","finally","for","from","global","if","import","in","is","lambda","nonlocal|10","not","or","pass","raise","return","try","while","with","yield"],s={
-$pattern:/[A-Za-z]\w+|__\w+__/,keyword:i,
-built_in:["__import__","abs","all","any","ascii","bin","bool","breakpoint","bytearray","bytes","callable","chr","classmethod","compile","complex","delattr","dict","dir","divmod","enumerate","eval","exec","filter","float","format","frozenset","getattr","globals","hasattr","hash","help","hex","id","input","int","isinstance","issubclass","iter","len","list","locals","map","max","memoryview","min","next","object","oct","open","ord","pow","print","property","range","repr","reversed","round","set","setattr","slice","sorted","staticmethod","str","sum","super","tuple","type","vars","zip"],
-literal:["__debug__","Ellipsis","False","None","NotImplemented","True"],
-type:["Any","Callable","Coroutine","Dict","List","Literal","Generic","Optional","Sequence","Set","Tuple","Type","Union"]
-},t={className:"meta",begin:/^(>>>|\.\.\.) /},r={className:"subst",begin:/\{/,
-end:/\}/,keywords:s,illegal:/#/},l={begin:/\{\{/,relevance:0},b={
-className:"string",contains:[e.BACKSLASH_ESCAPE],variants:[{
-begin:/([uU]|[bB]|[rR]|[bB][rR]|[rR][bB])?'''/,end:/'''/,
-contains:[e.BACKSLASH_ESCAPE,t],relevance:10},{
-begin:/([uU]|[bB]|[rR]|[bB][rR]|[rR][bB])?"""/,end:/"""/,
-contains:[e.BACKSLASH_ESCAPE,t],relevance:10},{
-begin:/([fF][rR]|[rR][fF]|[fF])'''/,end:/'''/,
-contains:[e.BACKSLASH_ESCAPE,t,l,r]},{begin:/([fF][rR]|[rR][fF]|[fF])"""/,
-end:/"""/,contains:[e.BACKSLASH_ESCAPE,t,l,r]},{begin:/([uU]|[rR])'/,end:/'/,
-relevance:10},{begin:/([uU]|[rR])"/,end:/"/,relevance:10},{
-begin:/([bB]|[bB][rR]|[rR][bB])'/,end:/'/},{begin:/([bB]|[bB][rR]|[rR][bB])"/,
-end:/"/},{begin:/([fF][rR]|[rR][fF]|[fF])'/,end:/'/,
-contains:[e.BACKSLASH_ESCAPE,l,r]},{begin:/([fF][rR]|[rR][fF]|[fF])"/,end:/"/,
-contains:[e.BACKSLASH_ESCAPE,l,r]},e.APOS_STRING_MODE,e.QUOTE_STRING_MODE]
-},o="[0-9](_?[0-9])*",c=`(\\b(${o}))?\\.(${o})|\\b(${o})\\.`,d="\\b|"+i.join("|"),g={
-className:"number",relevance:0,variants:[{
-begin:`(\\b(${o})|(${c}))[eE][+-]?(${o})[jJ]?(?=${d})`},{begin:`(${c})[jJ]?`},{
-begin:`\\b([1-9](_?[0-9])*|0+(_?0)*)[lLjJ]?(?=${d})`},{
-begin:`\\b0[bB](_?[01])+[lL]?(?=${d})`},{begin:`\\b0[oO](_?[0-7])+[lL]?(?=${d})`
-},{begin:`\\b0[xX](_?[0-9a-fA-F])+[lL]?(?=${d})`},{begin:`\\b(${o})[jJ](?=${d})`
-}]},p={className:"comment",begin:n.lookahead(/# type:/),end:/$/,keywords:s,
-contains:[{begin:/# type:/},{begin:/#/,end:/\b\B/,endsWithParent:!0}]},m={
-className:"params",variants:[{className:"",begin:/\(\s*\)/,skip:!0},{begin:/\(/,
-end:/\)/,excludeBegin:!0,excludeEnd:!0,keywords:s,
-contains:["self",t,g,b,e.HASH_COMMENT_MODE]}]};return r.contains=[b,g,t],{
-name:"Python",aliases:["py","gyp","ipython"],unicodeRegex:!0,keywords:s,
-illegal:/(<\/|->|\?)|=>/,contains:[t,g,{begin:/\bself\b/},{beginKeywords:"if",
-relevance:0},b,p,e.HASH_COMMENT_MODE,{match:[/\bdef/,/\s+/,a],scope:{
-1:"keyword",3:"title.function"},contains:[m]},{variants:[{
-match:[/\bclass/,/\s+/,a,/\s*/,/\(\s*/,a,/\s*\)/]},{match:[/\bclass/,/\s+/,a]}],
-scope:{1:"keyword",3:"title.class",6:"title.class.inherited"}},{
-className:"meta",begin:/^[\t ]*@/,end:/(?=#)|$/,contains:[g,m,b]}]}}})()
-;hljs.registerLanguage("python",e)})();/*! `python-repl` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var a=(()=>{"use strict";return a=>({aliases:["pycon"],contains:[{
-className:"meta.prompt",starts:{end:/ |$/,starts:{end:"$",subLanguage:"python"}
-},variants:[{begin:/^>>>(?=[ ]|$)/},{begin:/^\.\.\.(?=[ ]|$)/}]}]})})()
-;hljs.registerLanguage("python-repl",a)})();/*! `makefile` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var e=(()=>{"use strict";return e=>{const i={className:"variable",
-variants:[{begin:"\\$\\("+e.UNDERSCORE_IDENT_RE+"\\)",
-contains:[e.BACKSLASH_ESCAPE]},{begin:/\$[@%<?\^\+\*]/}]},a={className:"string",
-begin:/"/,end:/"/,contains:[e.BACKSLASH_ESCAPE,i]},n={className:"variable",
-begin:/\$\([\w-]+\s/,end:/\)/,keywords:{
-built_in:"subst patsubst strip findstring filter filter-out sort word wordlist firstword lastword dir notdir suffix basename addsuffix addprefix join wildcard realpath abspath error warning shell origin flavor foreach if or and call eval file value"
-},contains:[i]},s={begin:"^"+e.UNDERSCORE_IDENT_RE+"\\s*(?=[:+?]?=)"},r={
-className:"section",begin:/^[^\s]+:/,end:/$/,contains:[i]};return{
-name:"Makefile",aliases:["mk","mak","make"],keywords:{$pattern:/[\w-]+/,
-keyword:"define endef undefine ifdef ifndef ifeq ifneq else endif include -include sinclude override export unexport private vpath"
-},contains:[e.HASH_COMMENT_MODE,i,a,n,s,{className:"meta",begin:/^\.PHONY:/,
-end:/$/,keywords:{$pattern:/[\.\w]+/,keyword:".PHONY"}},r]}}})()
-;hljs.registerLanguage("makefile",e)})();/*! `r` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var e=(()=>{"use strict";return e=>{
-const a=e.regex,n=/(?:(?:[a-zA-Z]|\.[._a-zA-Z])[._a-zA-Z0-9]*)|\.(?!\d)/,i=a.either(/0[xX][0-9a-fA-F]+\.[0-9a-fA-F]*[pP][+-]?\d+i?/,/0[xX][0-9a-fA-F]+(?:[pP][+-]?\d+)?[Li]?/,/(?:\d+(?:\.\d*)?|\.\d+)(?:[eE][+-]?\d+)?[Li]?/),s=/[=!<>:]=|\|\||&&|:::?|<-|<<-|->>|->|\|>|[-+*\/?!$&|:<=>@^~]|\*\*/,t=a.either(/[()]/,/[{}]/,/\[\[/,/[[\]]/,/\\/,/,/)
-;return{name:"R",keywords:{$pattern:n,
-keyword:"function if in break next repeat else for while",
-literal:"NULL NA TRUE FALSE Inf NaN NA_integer_|10 NA_real_|10 NA_character_|10 NA_complex_|10",
-built_in:"LETTERS letters month.abb month.name pi T F abs acos acosh all any anyNA Arg as.call as.character as.complex as.double as.environment as.integer as.logical as.null.default as.numeric as.raw asin asinh atan atanh attr attributes baseenv browser c call ceiling class Conj cos cosh cospi cummax cummin cumprod cumsum digamma dim dimnames emptyenv exp expression floor forceAndCall gamma gc.time globalenv Im interactive invisible is.array is.atomic is.call is.character is.complex is.double is.environment is.expression is.finite is.function is.infinite is.integer is.language is.list is.logical is.matrix is.na is.name is.nan is.null is.numeric is.object is.pairlist is.raw is.recursive is.single is.symbol lazyLoadDBfetch length lgamma list log max min missing Mod names nargs nzchar oldClass on.exit pos.to.env proc.time prod quote range Re rep retracemem return round seq_along seq_len seq.int sign signif sin sinh sinpi sqrt standardGeneric substitute sum switch tan tanh tanpi tracemem trigamma trunc unclass untracemem UseMethod xtfrm"
-},contains:[e.COMMENT(/#'/,/$/,{contains:[{scope:"doctag",match:/@examples/,
-starts:{end:a.lookahead(a.either(/\n^#'\s*(?=@[a-zA-Z]+)/,/\n^(?!#')/)),
-endsParent:!0}},{scope:"doctag",begin:"@param",end:/$/,contains:[{
-scope:"variable",variants:[{match:n},{match:/`(?:\\.|[^`\\])+`/}],endsParent:!0
-}]},{scope:"doctag",match:/@[a-zA-Z]+/},{scope:"keyword",match:/\\[a-zA-Z]+/}]
-}),e.HASH_COMMENT_MODE,{scope:"string",contains:[e.BACKSLASH_ESCAPE],
-variants:[e.END_SAME_AS_BEGIN({begin:/[rR]"(-*)\(/,end:/\)(-*)"/
-}),e.END_SAME_AS_BEGIN({begin:/[rR]"(-*)\{/,end:/\}(-*)"/
-}),e.END_SAME_AS_BEGIN({begin:/[rR]"(-*)\[/,end:/\](-*)"/
-}),e.END_SAME_AS_BEGIN({begin:/[rR]'(-*)\(/,end:/\)(-*)'/
-}),e.END_SAME_AS_BEGIN({begin:/[rR]'(-*)\{/,end:/\}(-*)'/
-}),e.END_SAME_AS_BEGIN({begin:/[rR]'(-*)\[/,end:/\](-*)'/}),{begin:'"',end:'"',
-relevance:0},{begin:"'",end:"'",relevance:0}]},{relevance:0,variants:[{scope:{
-1:"operator",2:"number"},match:[s,i]},{scope:{1:"operator",2:"number"},
-match:[/%[^%]*%/,i]},{scope:{1:"punctuation",2:"number"},match:[t,i]},{scope:{
-2:"number"},match:[/[^a-zA-Z0-9._]|^/,i]}]},{scope:{3:"operator"},
-match:[n,/\s+/,/<-/,/\s+/]},{scope:"operator",relevance:0,variants:[{match:s},{
-match:/%[^%]*%/}]},{scope:"punctuation",relevance:0,match:t},{begin:"`",end:"`",
-contains:[{begin:/\\./}]}]}}})();hljs.registerLanguage("r",e)})();/*! `diff` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var e=(()=>{"use strict";return e=>{const a=e.regex;return{name:"Diff",
-aliases:["patch"],contains:[{className:"meta",relevance:10,
-match:a.either(/^@@ +-\d+,\d+ +\+\d+,\d+ +@@/,/^\*\*\* +\d+,\d+ +\*\*\*\*$/,/^--- +\d+,\d+ +----$/)
-},{className:"comment",variants:[{
-begin:a.either(/Index: /,/^index/,/={3,}/,/^-{3}/,/^\*{3} /,/^\+{3}/,/^diff --git/),
-end:/$/},{match:/^\*{15}$/}]},{className:"addition",begin:/^\+/,end:/$/},{
-className:"deletion",begin:/^-/,end:/$/},{className:"addition",begin:/^!/,
-end:/$/}]}}})();hljs.registerLanguage("diff",e)})();/*! `rust` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var e=(()=>{"use strict";return e=>{const t=e.regex,n={
-className:"title.function.invoke",relevance:0,
-begin:t.concat(/\b/,/(?!let\b)/,e.IDENT_RE,t.lookahead(/\s*\(/))
-},a="([ui](8|16|32|64|128|size)|f(32|64))?",i=["drop ","Copy","Send","Sized","Sync","Drop","Fn","FnMut","FnOnce","ToOwned","Clone","Debug","PartialEq","PartialOrd","Eq","Ord","AsRef","AsMut","Into","From","Default","Iterator","Extend","IntoIterator","DoubleEndedIterator","ExactSizeIterator","SliceConcatExt","ToString","assert!","assert_eq!","bitflags!","bytes!","cfg!","col!","concat!","concat_idents!","debug_assert!","debug_assert_eq!","env!","panic!","file!","format!","format_args!","include_bin!","include_str!","line!","local_data_key!","module_path!","option_env!","print!","println!","select!","stringify!","try!","unimplemented!","unreachable!","vec!","write!","writeln!","macro_rules!","assert_ne!","debug_assert_ne!"]
-;return{name:"Rust",aliases:["rs"],keywords:{$pattern:e.IDENT_RE+"!?",
-type:["i8","i16","i32","i64","i128","isize","u8","u16","u32","u64","u128","usize","f32","f64","str","char","bool","Box","Option","Result","String","Vec"],
-keyword:["abstract","as","async","await","become","box","break","const","continue","crate","do","dyn","else","enum","extern","false","final","fn","for","if","impl","in","let","loop","macro","match","mod","move","mut","override","priv","pub","ref","return","self","Self","static","struct","super","trait","true","try","type","typeof","unsafe","unsized","use","virtual","where","while","yield"],
-literal:["true","false","Some","None","Ok","Err"],built_in:i},illegal:"</",
-contains:[e.C_LINE_COMMENT_MODE,e.COMMENT("/\\*","\\*/",{contains:["self"]
-}),e.inherit(e.QUOTE_STRING_MODE,{begin:/b?"/,illegal:null}),{
-className:"string",variants:[{begin:/b?r(#*)"(.|\n)*?"\1(?!#)/},{
-begin:/b?'\\?(x\w{2}|u\w{4}|U\w{8}|.)'/}]},{className:"symbol",
-begin:/'[a-zA-Z_][a-zA-Z0-9_]*/},{className:"number",variants:[{
-begin:"\\b0b([01_]+)"+a},{begin:"\\b0o([0-7_]+)"+a},{
-begin:"\\b0x([A-Fa-f0-9_]+)"+a},{
-begin:"\\b(\\d[\\d_]*(\\.[0-9_]+)?([eE][+-]?[0-9_]+)?)"+a}],relevance:0},{
-begin:[/fn/,/\s+/,e.UNDERSCORE_IDENT_RE],className:{1:"keyword",
-3:"title.function"}},{className:"meta",begin:"#!?\\[",end:"\\]",contains:[{
-className:"string",begin:/"/,end:/"/}]},{
-begin:[/let/,/\s+/,/(?:mut\s+)?/,e.UNDERSCORE_IDENT_RE],className:{1:"keyword",
-3:"keyword",4:"variable"}},{
-begin:[/for/,/\s+/,e.UNDERSCORE_IDENT_RE,/\s+/,/in/],className:{1:"keyword",
-3:"variable",5:"keyword"}},{begin:[/type/,/\s+/,e.UNDERSCORE_IDENT_RE],
-className:{1:"keyword",3:"title.class"}},{
-begin:[/(?:trait|enum|struct|union|impl|for)/,/\s+/,e.UNDERSCORE_IDENT_RE],
-className:{1:"keyword",3:"title.class"}},{begin:e.IDENT_RE+"::",keywords:{
-keyword:"Self",built_in:i}},{className:"punctuation",begin:"->"},n]}}})()
-;hljs.registerLanguage("rust",e)})();/*! `shell` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var s=(()=>{"use strict";return s=>({name:"Shell Session",
-aliases:["console","shellsession"],contains:[{className:"meta.prompt",
-begin:/^\s{0,3}[/~\w\d[\]()@-]*[>%$#][ ]?/,starts:{end:/[^\\](?=\s*$)/,
-subLanguage:"bash"}}]})})();hljs.registerLanguage("shell",s)})();/*! `xml` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var e=(()=>{"use strict";return e=>{
-const a=e.regex,n=a.concat(/[A-Z_]/,a.optional(/[A-Z0-9_.-]*:/),/[A-Z0-9_.-]*/),s={
-className:"symbol",begin:/&[a-z]+;|&#[0-9]+;|&#x[a-f0-9]+;/},t={begin:/\s/,
-contains:[{className:"keyword",begin:/#?[a-z_][a-z1-9_-]+/,illegal:/\n/}]
-},i=e.inherit(t,{begin:/\(/,end:/\)/}),c=e.inherit(e.APOS_STRING_MODE,{
-className:"string"}),l=e.inherit(e.QUOTE_STRING_MODE,{className:"string"}),r={
-endsWithParent:!0,illegal:/</,relevance:0,contains:[{className:"attr",
-begin:/[A-Za-z0-9._:-]+/,relevance:0},{begin:/=\s*/,relevance:0,contains:[{
-className:"string",endsParent:!0,variants:[{begin:/"/,end:/"/,contains:[s]},{
-begin:/'/,end:/'/,contains:[s]},{begin:/[^\s"'=<>`]+/}]}]}]};return{
-name:"HTML, XML",
-aliases:["html","xhtml","rss","atom","xjb","xsd","xsl","plist","wsf","svg"],
-case_insensitive:!0,contains:[{className:"meta",begin:/<![a-z]/,end:/>/,
-relevance:10,contains:[t,l,c,i,{begin:/\[/,end:/\]/,contains:[{className:"meta",
-begin:/<![a-z]/,end:/>/,contains:[t,i,l,c]}]}]},e.COMMENT(/<!--/,/-->/,{
-relevance:10}),{begin:/<!\[CDATA\[/,end:/\]\]>/,relevance:10},s,{
-className:"meta",end:/\?>/,variants:[{begin:/<\?xml/,relevance:10,contains:[l]
-},{begin:/<\?[a-z][a-z0-9]+/}]},{className:"tag",begin:/<style(?=\s|>)/,end:/>/,
-keywords:{name:"style"},contains:[r],starts:{end:/<\/style>/,returnEnd:!0,
-subLanguage:["css","xml"]}},{className:"tag",begin:/<script(?=\s|>)/,end:/>/,
-keywords:{name:"script"},contains:[r],starts:{end:/<\/script>/,returnEnd:!0,
-subLanguage:["javascript","handlebars","xml"]}},{className:"tag",begin:/<>|<\/>/
-},{className:"tag",
-begin:a.concat(/</,a.lookahead(a.concat(n,a.either(/\/>/,/>/,/\s/)))),
-end:/\/?>/,contains:[{className:"name",begin:n,relevance:0,starts:r}]},{
-className:"tag",begin:a.concat(/<\//,a.lookahead(a.concat(n,/>/))),contains:[{
-className:"name",begin:n,relevance:0},{begin:/>/,relevance:0,endsParent:!0}]}]}}
-})();hljs.registerLanguage("xml",e)})();/*! `ruby` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var e=(()=>{"use strict";return e=>{
-const n=e.regex,a="([a-zA-Z_]\\w*[!?=]?|[-+~]@|<<|>>|=~|===?|<=>|[<>]=?|\\*\\*|[-/+%^&*~`|]|\\[\\]=?)",s=n.either(/\b([A-Z]+[a-z0-9]+)+/,/\b([A-Z]+[a-z0-9]+)+[A-Z]+/),i=n.concat(s,/(::\w+)*/),r={
-"variable.constant":["__FILE__","__LINE__"],
-"variable.language":["self","super"],
-keyword:["alias","and","attr_accessor","attr_reader","attr_writer","begin","BEGIN","break","case","class","defined","do","else","elsif","end","END","ensure","for","if","in","include","module","next","not","or","redo","require","rescue","retry","return","then","undef","unless","until","when","while","yield"],
-built_in:["proc","lambda"],literal:["true","false","nil"]},c={
-className:"doctag",begin:"@[A-Za-z]+"},t={begin:"#<",end:">"
-},b=[e.COMMENT("#","$",{contains:[c]}),e.COMMENT("^=begin","^=end",{
-contains:[c],relevance:10}),e.COMMENT("^__END__",e.MATCH_NOTHING_RE)],l={
-className:"subst",begin:/#\{/,end:/\}/,keywords:r},d={className:"string",
-contains:[e.BACKSLASH_ESCAPE,l],variants:[{begin:/'/,end:/'/},{begin:/"/,end:/"/
-},{begin:/`/,end:/`/},{begin:/%[qQwWx]?\(/,end:/\)/},{begin:/%[qQwWx]?\[/,
-end:/\]/},{begin:/%[qQwWx]?\{/,end:/\}/},{begin:/%[qQwWx]?</,end:/>/},{
-begin:/%[qQwWx]?\//,end:/\//},{begin:/%[qQwWx]?%/,end:/%/},{begin:/%[qQwWx]?-/,
-end:/-/},{begin:/%[qQwWx]?\|/,end:/\|/},{begin:/\B\?(\\\d{1,3})/},{
-begin:/\B\?(\\x[A-Fa-f0-9]{1,2})/},{begin:/\B\?(\\u\{?[A-Fa-f0-9]{1,6}\}?)/},{
-begin:/\B\?(\\M-\\C-|\\M-\\c|\\c\\M-|\\M-|\\C-\\M-)[\x20-\x7e]/},{
-begin:/\B\?\\(c|C-)[\x20-\x7e]/},{begin:/\B\?\\?\S/},{
-begin:n.concat(/<<[-~]?'?/,n.lookahead(/(\w+)(?=\W)[^\n]*\n(?:[^\n]*\n)*?\s*\1\b/)),
-contains:[e.END_SAME_AS_BEGIN({begin:/(\w+)/,end:/(\w+)/,
-contains:[e.BACKSLASH_ESCAPE,l]})]}]},g="[0-9](_?[0-9])*",o={className:"number",
-relevance:0,variants:[{
-begin:`\\b([1-9](_?[0-9])*|0)(\\.(${g}))?([eE][+-]?(${g})|r)?i?\\b`},{
-begin:"\\b0[dD][0-9](_?[0-9])*r?i?\\b"},{begin:"\\b0[bB][0-1](_?[0-1])*r?i?\\b"
-},{begin:"\\b0[oO][0-7](_?[0-7])*r?i?\\b"},{
-begin:"\\b0[xX][0-9a-fA-F](_?[0-9a-fA-F])*r?i?\\b"},{
-begin:"\\b0(_?[0-7])+r?i?\\b"}]},_={variants:[{match:/\(\)/},{
-className:"params",begin:/\(/,end:/(?=\))/,excludeBegin:!0,endsParent:!0,
-keywords:r}]},u=[d,{variants:[{match:[/class\s+/,i,/\s+<\s+/,i]},{
-match:[/class\s+/,i]}],scope:{2:"title.class",4:"title.class.inherited"},
-keywords:r},{relevance:0,match:[i,/\.new[ (]/],scope:{1:"title.class"}},{
-relevance:0,match:/\b[A-Z][A-Z_0-9]+\b/,className:"variable.constant"},{
-match:[/def/,/\s+/,a],scope:{1:"keyword",3:"title.function"},contains:[_]},{
-begin:e.IDENT_RE+"::"},{className:"symbol",
-begin:e.UNDERSCORE_IDENT_RE+"(!|\\?)?:",relevance:0},{className:"symbol",
-begin:":(?!\\s)",contains:[d,{begin:a}],relevance:0},o,{className:"variable",
-begin:"(\\$\\W)|((\\$|@@?)(\\w+))(?=[^@$?])(?![A-Za-z])(?![@$?'])"},{
-className:"params",begin:/\|/,end:/\|/,excludeBegin:!0,excludeEnd:!0,
-relevance:0,keywords:r},{begin:"("+e.RE_STARTERS_RE+"|unless)\\s*",
-keywords:"unless",contains:[{className:"regexp",contains:[e.BACKSLASH_ESCAPE,l],
-illegal:/\n/,variants:[{begin:"/",end:"/[a-z]*"},{begin:/%r\{/,end:/\}[a-z]*/},{
-begin:"%r\\(",end:"\\)[a-z]*"},{begin:"%r!",end:"![a-z]*"},{begin:"%r\\[",
-end:"\\][a-z]*"}]}].concat(t,b),relevance:0}].concat(t,b)
-;l.contains=u,_.contains=u;const w=[{begin:/^\s*=>/,starts:{end:"$",contains:u}
-},{className:"meta.prompt",
-begin:"^([>?]>|[\\w#]+\\(\\w+\\):\\d+:\\d+[>*]|(\\w+-)?\\d+\\.\\d+\\.\\d+(p\\d+)?[^\\d][^>]+>)(?=[ ])",
-starts:{end:"$",keywords:r,contains:u}}];return b.unshift(t),{name:"Ruby",
-aliases:["rb","gemspec","podspec","thor","irb"],keywords:r,illegal:/\/\*/,
-contains:[e.SHEBANG({binary:"ruby"})].concat(w).concat(b).concat(u)}}})()
-;hljs.registerLanguage("ruby",e)})();/*! `yaml` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var e=(()=>{"use strict";return e=>{
-const n="true false yes no null",a="[\\w#;/?:@&=+$,.~*'()[\\]]+",s={
-className:"string",relevance:0,variants:[{begin:/'/,end:/'/},{begin:/"/,end:/"/
-},{begin:/\S+/}],contains:[e.BACKSLASH_ESCAPE,{className:"template-variable",
-variants:[{begin:/\{\{/,end:/\}\}/},{begin:/%\{/,end:/\}/}]}]},i=e.inherit(s,{
-variants:[{begin:/'/,end:/'/},{begin:/"/,end:/"/},{begin:/[^\s,{}[\]]+/}]}),l={
-end:",",endsWithParent:!0,excludeEnd:!0,keywords:n,relevance:0},t={begin:/\{/,
-end:/\}/,contains:[l],illegal:"\\n",relevance:0},g={begin:"\\[",end:"\\]",
-contains:[l],illegal:"\\n",relevance:0},b=[{className:"attr",variants:[{
-begin:"\\w[\\w :\\/.-]*:(?=[ \t]|$)"},{begin:'"\\w[\\w :\\/.-]*":(?=[ \t]|$)'},{
-begin:"'\\w[\\w :\\/.-]*':(?=[ \t]|$)"}]},{className:"meta",begin:"^---\\s*$",
-relevance:10},{className:"string",
-begin:"[\\|>]([1-9]?[+-])?[ ]*\\n( +)[^ ][^\\n]*\\n(\\2[^\\n]+\\n?)*"},{
-begin:"<%[%=-]?",end:"[%-]?%>",subLanguage:"ruby",excludeBegin:!0,excludeEnd:!0,
-relevance:0},{className:"type",begin:"!\\w+!"+a},{className:"type",
-begin:"!<"+a+">"},{className:"type",begin:"!"+a},{className:"type",begin:"!!"+a
-},{className:"meta",begin:"&"+e.UNDERSCORE_IDENT_RE+"$"},{className:"meta",
-begin:"\\*"+e.UNDERSCORE_IDENT_RE+"$"},{className:"bullet",begin:"-(?=[ ]|$)",
-relevance:0},e.HASH_COMMENT_MODE,{beginKeywords:n,keywords:{literal:n}},{
-className:"number",
-begin:"\\b[0-9]{4}(-[0-9][0-9]){0,2}([Tt \\t][0-9][0-9]?(:[0-9][0-9]){2})?(\\.[0-9]*)?([ \\t])*(Z|[-+][0-9][0-9]?(:[0-9][0-9])?)?\\b"
-},{className:"number",begin:e.C_NUMBER_RE+"\\b",relevance:0},t,g,s],r=[...b]
-;return r.pop(),r.push(i),l.contains=r,{name:"YAML",case_insensitive:!0,
-aliases:["yml"],contains:b}}})();hljs.registerLanguage("yaml",e)})();/*! `julia-repl` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var a=(()=>{"use strict";return a=>({name:"Julia REPL",contains:[{
-className:"meta.prompt",begin:/^julia>/,relevance:10,starts:{end:/^(?![ ]{6})/,
-subLanguage:"julia"}}],aliases:["jldoctest"]})})()
-;hljs.registerLanguage("julia-repl",a)})();/*! `markdown` grammar compiled for Highlight.js 11.5.1 */
-(()=>{var e=(()=>{"use strict";return e=>{const n={begin:/<\/?[A-Za-z_]/,
-end:">",subLanguage:"xml",relevance:0},a={variants:[{begin:/\[.+?\]\[.*?\]/,
-relevance:0},{
-begin:/\[.+?\]\(((data|javascript|mailto):|(?:http|ftp)s?:\/\/).*?\)/,
-relevance:2},{
-begin:e.regex.concat(/\[.+?\]\(/,/[A-Za-z][A-Za-z0-9+.-]*/,/:\/\/.*?\)/),
-relevance:2},{begin:/\[.+?\]\([./?&#].*?\)/,relevance:1},{
-begin:/\[.*?\]\(.*?\)/,relevance:0}],returnBegin:!0,contains:[{match:/\[(?=\])/
-},{className:"string",relevance:0,begin:"\\[",end:"\\]",excludeBegin:!0,
-returnEnd:!0},{className:"link",relevance:0,begin:"\\]\\(",end:"\\)",
-excludeBegin:!0,excludeEnd:!0},{className:"symbol",relevance:0,begin:"\\]\\[",
-end:"\\]",excludeBegin:!0,excludeEnd:!0}]},i={className:"strong",contains:[],
-variants:[{begin:/_{2}/,end:/_{2}/},{begin:/\*{2}/,end:/\*{2}/}]},s={
-className:"emphasis",contains:[],variants:[{begin:/\*(?!\*)/,end:/\*/},{
-begin:/_(?!_)/,end:/_/,relevance:0}]},c=e.inherit(i,{contains:[]
-}),t=e.inherit(s,{contains:[]});i.contains.push(t),s.contains.push(c)
-;let g=[n,a];return[i,s,c,t].forEach((e=>{e.contains=e.contains.concat(g)
-})),g=g.concat(i,s),{name:"Markdown",aliases:["md","mkdown","mkd"],contains:[{
-className:"section",variants:[{begin:"^#{1,6}",end:"$",contains:g},{
-begin:"(?=^.+?\\n[=-]{2,}$)",contains:[{begin:"^[=-]*$"},{begin:"^",end:"\\n",
-contains:g}]}]},n,{className:"bullet",begin:"^[ \t]*([*+-]|(\\d+\\.))(?=\\s+)",
-end:"\\s+",excludeEnd:!0},i,s,{className:"quote",begin:"^>\\s+",contains:g,
-end:"$"},{className:"code",variants:[{begin:"(`{3,})[^`](.|\\n)*?\\1`*[ ]*"},{
-begin:"(~{3,})[^~](.|\\n)*?\\1~*[ ]*"},{begin:"```",end:"```+[ ]*$"},{
-begin:"~~~",end:"~~~+[ ]*$"},{begin:"`.+?`"},{begin:"(?=^( {4}|\\t))",
-contains:[{begin:"^( {4}|\\t)",end:"(\\n)$"}],relevance:0}]},{
-begin:"^[-\\*]{3,}",end:"$"},a,{begin:/^\[[^\n]+\]:/,returnBegin:!0,contains:[{
-className:"symbol",begin:/\[/,end:/\]/,excludeBegin:!0,excludeEnd:!0},{
-className:"link",begin:/:\s*/,end:/$/,excludeBegin:!0}]}]}}})()
-;hljs.registerLanguage("markdown",e)})();
\ No newline at end of file
diff --git a/previews/PR41/libs/katex/auto-render.min.js b/previews/PR41/libs/katex/auto-render.min.js
deleted file mode 100644
index 840e74b..0000000
--- a/previews/PR41/libs/katex/auto-render.min.js
+++ /dev/null
@@ -1 +0,0 @@
-!function(e,t){"object"==typeof exports&&"object"==typeof module?module.exports=t(require("katex")):"function"==typeof define&&define.amd?define(["katex"],t):"object"==typeof exports?exports.renderMathInElement=t(require("katex")):e.renderMathInElement=t(e.katex)}("undefined"!=typeof self?self:this,function(e){return function(e){var t={};function r(n){if(t[n])return t[n].exports;var o=t[n]={i:n,l:!1,exports:{}};return e[n].call(o.exports,o,o.exports,r),o.l=!0,o.exports}return r.m=e,r.c=t,r.d=function(e,t,n){r.o(e,t)||Object.defineProperty(e,t,{enumerable:!0,get:n})},r.r=function(e){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(e,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(e,"__esModule",{value:!0})},r.t=function(e,t){if(1&t&&(e=r(e)),8&t)return e;if(4&t&&"object"==typeof e&&e&&e.__esModule)return e;var n=Object.create(null);if(r.r(n),Object.defineProperty(n,"default",{enumerable:!0,value:e}),2&t&&"string"!=typeof e)for(var o in e)r.d(n,o,function(t){return e[t]}.bind(null,o));return n},r.n=function(e){var t=e&&e.__esModule?function(){return e.default}:function(){return e};return r.d(t,"a",t),t},r.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)},r.p="",r(r.s=1)}([function(t,r){t.exports=e},function(e,t,r){"use strict";r.r(t);var n=r(0),o=r.n(n),a=function(e,t,r){for(var n=r,o=0,a=e.length;n<t.length;){var i=t[n];if(o<=0&&t.slice(n,n+a)===e)return n;"\\"===i?n++:"{"===i?o++:"}"===i&&o--,n++}return-1},i=function(e,t,r,n){for(var o=[],i=0;i<e.length;i++)if("text"===e[i].type){var l=e[i].data,d=!0,s=0,f=void 0;for(-1!==(f=l.indexOf(t))&&(s=f,o.push({type:"text",data:l.slice(0,s)}),d=!1);;){if(d){if(-1===(f=l.indexOf(t,s)))break;o.push({type:"text",data:l.slice(s,f)}),s=f}else{if(-1===(f=a(r,l,s+t.length)))break;o.push({type:"math",data:l.slice(s+t.length,f),rawData:l.slice(s,f+r.length),display:n}),s=f+r.length}d=!d}o.push({type:"text",data:l.slice(s)})}else o.push(e[i]);return o},l=function(e,t){var r=function(e,t){for(var r=[{type:"text",data:e}],n=0;n<t.length;n++){var o=t[n];r=i(r,o.left,o.right,o.display||!1)}return r}(e,t.delimiters);if(1===r.length&&"text"===r[0].type)return null;for(var n=document.createDocumentFragment(),a=0;a<r.length;a++)if("text"===r[a].type)n.appendChild(document.createTextNode(r[a].data));else{var l=document.createElement("span"),d=r[a].data;t.displayMode=r[a].display;try{t.preProcess&&(d=t.preProcess(d)),o.a.render(d,l,t)}catch(e){if(!(e instanceof o.a.ParseError))throw e;t.errorCallback("KaTeX auto-render: Failed to parse `"+r[a].data+"` with ",e),n.appendChild(document.createTextNode(r[a].rawData));continue}n.appendChild(l)}return n};t.default=function(e,t){if(!e)throw new Error("No element provided to render");var r={};for(var n in t)t.hasOwnProperty(n)&&(r[n]=t[n]);r.delimiters=r.delimiters||[{left:"$$",right:"$$",display:!0},{left:"\\(",right:"\\)",display:!1},{left:"\\[",right:"\\]",display:!0}],r.ignoredTags=r.ignoredTags||["script","noscript","style","textarea","pre","code","option"],r.ignoredClasses=r.ignoredClasses||[],r.errorCallback=r.errorCallback||console.error,r.macros=r.macros||{},function e(t,r){for(var n=0;n<t.childNodes.length;n++){var o=t.childNodes[n];if(3===o.nodeType){var a=l(o.textContent,r);a&&(n+=a.childNodes.length-1,t.replaceChild(a,o))}else 1===o.nodeType&&function(){var t=" "+o.className+" ";-1===r.ignoredTags.indexOf(o.nodeName.toLowerCase())&&r.ignoredClasses.every(function(e){return-1===t.indexOf(" "+e+" ")})&&e(o,r)}()}}(e,r)}}]).default});
\ No newline at end of file
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_AMS-Regular.ttf b/previews/PR41/libs/katex/fonts/KaTeX_AMS-Regular.ttf
deleted file mode 100644
index 737cf8e..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_AMS-Regular.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_AMS-Regular.woff b/previews/PR41/libs/katex/fonts/KaTeX_AMS-Regular.woff
deleted file mode 100644
index 38378bf..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_AMS-Regular.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_AMS-Regular.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_AMS-Regular.woff2
deleted file mode 100644
index a4d1ba6..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_AMS-Regular.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Bold.ttf b/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Bold.ttf
deleted file mode 100644
index 04d28ab..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Bold.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Bold.woff b/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Bold.woff
deleted file mode 100644
index a01ce90..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Bold.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Bold.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Bold.woff2
deleted file mode 100644
index 3792727..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Bold.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Regular.ttf b/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Regular.ttf
deleted file mode 100644
index b2ce555..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Regular.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Regular.woff b/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Regular.woff
deleted file mode 100644
index bc169b7..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Regular.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Regular.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Regular.woff2
deleted file mode 100644
index f1e38bb..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Caligraphic-Regular.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Bold.ttf b/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Bold.ttf
deleted file mode 100644
index c42d169..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Bold.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Bold.woff b/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Bold.woff
deleted file mode 100644
index f30b54b..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Bold.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Bold.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Bold.woff2
deleted file mode 100644
index b7a8359..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Bold.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Regular.ttf b/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Regular.ttf
deleted file mode 100644
index 4133228..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Regular.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Regular.woff b/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Regular.woff
deleted file mode 100644
index 5af51de..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Regular.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Regular.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Regular.woff2
deleted file mode 100644
index 3874f93..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Fraktur-Regular.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Main-Bold.ttf b/previews/PR41/libs/katex/fonts/KaTeX_Main-Bold.ttf
deleted file mode 100644
index 14390e0..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Main-Bold.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Main-Bold.woff b/previews/PR41/libs/katex/fonts/KaTeX_Main-Bold.woff
deleted file mode 100644
index 33b4199..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Main-Bold.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Main-Bold.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_Main-Bold.woff2
deleted file mode 100644
index f9b71cb..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Main-Bold.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Main-BoldItalic.ttf b/previews/PR41/libs/katex/fonts/KaTeX_Main-BoldItalic.ttf
deleted file mode 100644
index ad0761f..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Main-BoldItalic.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Main-BoldItalic.woff b/previews/PR41/libs/katex/fonts/KaTeX_Main-BoldItalic.woff
deleted file mode 100644
index 115af4f..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Main-BoldItalic.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Main-BoldItalic.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_Main-BoldItalic.woff2
deleted file mode 100644
index 5c500c2..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Main-BoldItalic.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Main-Italic.ttf b/previews/PR41/libs/katex/fonts/KaTeX_Main-Italic.ttf
deleted file mode 100644
index fc8625c..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Main-Italic.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Main-Italic.woff b/previews/PR41/libs/katex/fonts/KaTeX_Main-Italic.woff
deleted file mode 100644
index 2d3087a..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Main-Italic.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Main-Italic.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_Main-Italic.woff2
deleted file mode 100644
index 08510d8..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Main-Italic.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Main-Regular.ttf b/previews/PR41/libs/katex/fonts/KaTeX_Main-Regular.ttf
deleted file mode 100644
index 5115a04..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Main-Regular.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Main-Regular.woff b/previews/PR41/libs/katex/fonts/KaTeX_Main-Regular.woff
deleted file mode 100644
index 42b74ab..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Main-Regular.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Main-Regular.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_Main-Regular.woff2
deleted file mode 100644
index 18647fa..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Main-Regular.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Math-BoldItalic.ttf b/previews/PR41/libs/katex/fonts/KaTeX_Math-BoldItalic.ttf
deleted file mode 100644
index 326b523..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Math-BoldItalic.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Math-BoldItalic.woff b/previews/PR41/libs/katex/fonts/KaTeX_Math-BoldItalic.woff
deleted file mode 100644
index 5b4041a..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Math-BoldItalic.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Math-BoldItalic.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_Math-BoldItalic.woff2
deleted file mode 100644
index ba55276..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Math-BoldItalic.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Math-Italic.ttf b/previews/PR41/libs/katex/fonts/KaTeX_Math-Italic.ttf
deleted file mode 100644
index f148fce..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Math-Italic.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Math-Italic.woff b/previews/PR41/libs/katex/fonts/KaTeX_Math-Italic.woff
deleted file mode 100644
index 31d0038..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Math-Italic.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Math-Italic.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_Math-Italic.woff2
deleted file mode 100644
index 9871ab6..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Math-Italic.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Bold.ttf b/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Bold.ttf
deleted file mode 100644
index dce35c8..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Bold.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Bold.woff b/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Bold.woff
deleted file mode 100644
index 992cb3d..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Bold.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Bold.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Bold.woff2
deleted file mode 100644
index 6dd1038..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Bold.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Italic.ttf b/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Italic.ttf
deleted file mode 100644
index a3eb86c..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Italic.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Italic.woff b/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Italic.woff
deleted file mode 100644
index f4fa252..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Italic.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Italic.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Italic.woff2
deleted file mode 100644
index 9f2501a..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Italic.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Regular.ttf b/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Regular.ttf
deleted file mode 100644
index 3be73ce..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Regular.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Regular.woff b/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Regular.woff
deleted file mode 100644
index ec283f4..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Regular.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Regular.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Regular.woff2
deleted file mode 100644
index e46094f..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_SansSerif-Regular.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Script-Regular.ttf b/previews/PR41/libs/katex/fonts/KaTeX_Script-Regular.ttf
deleted file mode 100644
index 40c8a99..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Script-Regular.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Script-Regular.woff b/previews/PR41/libs/katex/fonts/KaTeX_Script-Regular.woff
deleted file mode 100644
index 4eafae7..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Script-Regular.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Script-Regular.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_Script-Regular.woff2
deleted file mode 100644
index 69b1754..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Script-Regular.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Size1-Regular.ttf b/previews/PR41/libs/katex/fonts/KaTeX_Size1-Regular.ttf
deleted file mode 100644
index f0aff83..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Size1-Regular.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Size1-Regular.woff b/previews/PR41/libs/katex/fonts/KaTeX_Size1-Regular.woff
deleted file mode 100644
index 0358ee4..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Size1-Regular.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Size1-Regular.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_Size1-Regular.woff2
deleted file mode 100644
index f951ed0..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Size1-Regular.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Size2-Regular.ttf b/previews/PR41/libs/katex/fonts/KaTeX_Size2-Regular.ttf
deleted file mode 100644
index 4f72f16..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Size2-Regular.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Size2-Regular.woff b/previews/PR41/libs/katex/fonts/KaTeX_Size2-Regular.woff
deleted file mode 100644
index 8a053d2..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Size2-Regular.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Size2-Regular.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_Size2-Regular.woff2
deleted file mode 100644
index 181d962..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Size2-Regular.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Size3-Regular.ttf b/previews/PR41/libs/katex/fonts/KaTeX_Size3-Regular.ttf
deleted file mode 100644
index 56d2dc6..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Size3-Regular.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Size3-Regular.woff b/previews/PR41/libs/katex/fonts/KaTeX_Size3-Regular.woff
deleted file mode 100644
index 0ec99ad..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Size3-Regular.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Size3-Regular.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_Size3-Regular.woff2
deleted file mode 100644
index c2985cd..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Size3-Regular.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Size4-Regular.ttf b/previews/PR41/libs/katex/fonts/KaTeX_Size4-Regular.ttf
deleted file mode 100644
index baf0209..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Size4-Regular.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Size4-Regular.woff b/previews/PR41/libs/katex/fonts/KaTeX_Size4-Regular.woff
deleted file mode 100644
index ff67319..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Size4-Regular.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Size4-Regular.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_Size4-Regular.woff2
deleted file mode 100644
index a4e810d..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Size4-Regular.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Typewriter-Regular.ttf b/previews/PR41/libs/katex/fonts/KaTeX_Typewriter-Regular.ttf
deleted file mode 100644
index e66c218..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Typewriter-Regular.ttf and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Typewriter-Regular.woff b/previews/PR41/libs/katex/fonts/KaTeX_Typewriter-Regular.woff
deleted file mode 100644
index c66d149..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Typewriter-Regular.woff and /dev/null differ
diff --git a/previews/PR41/libs/katex/fonts/KaTeX_Typewriter-Regular.woff2 b/previews/PR41/libs/katex/fonts/KaTeX_Typewriter-Regular.woff2
deleted file mode 100644
index e5bf2ce..0000000
Binary files a/previews/PR41/libs/katex/fonts/KaTeX_Typewriter-Regular.woff2 and /dev/null differ
diff --git a/previews/PR41/libs/katex/katex.min.css b/previews/PR41/libs/katex/katex.min.css
deleted file mode 100644
index aa6fd6d..0000000
--- a/previews/PR41/libs/katex/katex.min.css
+++ /dev/null
@@ -1,546 +0,0 @@
-@font-face { font-family: KaTeX_AMS; src: url(fonts/KaTeX_AMS-Regular.woff2) format("woff2"), url(fonts/KaTeX_AMS-Regular.woff) format("woff"), url(fonts/KaTeX_AMS-Regular.ttf) format("truetype"); font-weight: 400; font-style: normal; }
-
-@font-face { font-family: KaTeX_Caligraphic; src: url(fonts/KaTeX_Caligraphic-Bold.woff2) format("woff2"), url(fonts/KaTeX_Caligraphic-Bold.woff) format("woff"), url(fonts/KaTeX_Caligraphic-Bold.ttf) format("truetype"); font-weight: 700; font-style: normal; }
-
-@font-face { font-family: KaTeX_Caligraphic; src: url(fonts/KaTeX_Caligraphic-Regular.woff2) format("woff2"), url(fonts/KaTeX_Caligraphic-Regular.woff) format("woff"), url(fonts/KaTeX_Caligraphic-Regular.ttf) format("truetype"); font-weight: 400; font-style: normal; }
-
-@font-face { font-family: KaTeX_Fraktur; src: url(fonts/KaTeX_Fraktur-Bold.woff2) format("woff2"), url(fonts/KaTeX_Fraktur-Bold.woff) format("woff"), url(fonts/KaTeX_Fraktur-Bold.ttf) format("truetype"); font-weight: 700; font-style: normal; }
-
-@font-face { font-family: KaTeX_Fraktur; src: url(fonts/KaTeX_Fraktur-Regular.woff2) format("woff2"), url(fonts/KaTeX_Fraktur-Regular.woff) format("woff"), url(fonts/KaTeX_Fraktur-Regular.ttf) format("truetype"); font-weight: 400; font-style: normal; }
-
-@font-face { font-family: KaTeX_Main; src: url(fonts/KaTeX_Main-Bold.woff2) format("woff2"), url(fonts/KaTeX_Main-Bold.woff) format("woff"), url(fonts/KaTeX_Main-Bold.ttf) format("truetype"); font-weight: 700; font-style: normal; }
-
-@font-face { font-family: KaTeX_Main; src: url(fonts/KaTeX_Main-BoldItalic.woff2) format("woff2"), url(fonts/KaTeX_Main-BoldItalic.woff) format("woff"), url(fonts/KaTeX_Main-BoldItalic.ttf) format("truetype"); font-weight: 700; font-style: italic; }
-
-@font-face { font-family: KaTeX_Main; src: url(fonts/KaTeX_Main-Italic.woff2) format("woff2"), url(fonts/KaTeX_Main-Italic.woff) format("woff"), url(fonts/KaTeX_Main-Italic.ttf) format("truetype"); font-weight: 400; font-style: italic; }
-
-@font-face { font-family: KaTeX_Main; src: url(fonts/KaTeX_Main-Regular.woff2) format("woff2"), url(fonts/KaTeX_Main-Regular.woff) format("woff"), url(fonts/KaTeX_Main-Regular.ttf) format("truetype"); font-weight: 400; font-style: normal; }
-
-@font-face { font-family: KaTeX_Math; src: url(fonts/KaTeX_Math-BoldItalic.woff2) format("woff2"), url(fonts/KaTeX_Math-BoldItalic.woff) format("woff"), url(fonts/KaTeX_Math-BoldItalic.ttf) format("truetype"); font-weight: 700; font-style: italic; }
-
-@font-face { font-family: KaTeX_Math; src: url(fonts/KaTeX_Math-Italic.woff2) format("woff2"), url(fonts/KaTeX_Math-Italic.woff) format("woff"), url(fonts/KaTeX_Math-Italic.ttf) format("truetype"); font-weight: 400; font-style: italic; }
-
-@font-face { font-family: "KaTeX_SansSerif"; src: url(fonts/KaTeX_SansSerif-Bold.woff2) format("woff2"), url(fonts/KaTeX_SansSerif-Bold.woff) format("woff"), url(fonts/KaTeX_SansSerif-Bold.ttf) format("truetype"); font-weight: 700; font-style: normal; }
-
-@font-face { font-family: "KaTeX_SansSerif"; src: url(fonts/KaTeX_SansSerif-Italic.woff2) format("woff2"), url(fonts/KaTeX_SansSerif-Italic.woff) format("woff"), url(fonts/KaTeX_SansSerif-Italic.ttf) format("truetype"); font-weight: 400; font-style: italic; }
-
-@font-face { font-family: "KaTeX_SansSerif"; src: url(fonts/KaTeX_SansSerif-Regular.woff2) format("woff2"), url(fonts/KaTeX_SansSerif-Regular.woff) format("woff"), url(fonts/KaTeX_SansSerif-Regular.ttf) format("truetype"); font-weight: 400; font-style: normal; }
-
-@font-face { font-family: KaTeX_Script; src: url(fonts/KaTeX_Script-Regular.woff2) format("woff2"), url(fonts/KaTeX_Script-Regular.woff) format("woff"), url(fonts/KaTeX_Script-Regular.ttf) format("truetype"); font-weight: 400; font-style: normal; }
-
-@font-face { font-family: KaTeX_Size1; src: url(fonts/KaTeX_Size1-Regular.woff2) format("woff2"), url(fonts/KaTeX_Size1-Regular.woff) format("woff"), url(fonts/KaTeX_Size1-Regular.ttf) format("truetype"); font-weight: 400; font-style: normal; }
-
-@font-face { font-family: KaTeX_Size2; src: url(fonts/KaTeX_Size2-Regular.woff2) format("woff2"), url(fonts/KaTeX_Size2-Regular.woff) format("woff"), url(fonts/KaTeX_Size2-Regular.ttf) format("truetype"); font-weight: 400; font-style: normal; }
-
-@font-face { font-family: KaTeX_Size3; src: url(fonts/KaTeX_Size3-Regular.woff2) format("woff2"), url(fonts/KaTeX_Size3-Regular.woff) format("woff"), url(fonts/KaTeX_Size3-Regular.ttf) format("truetype"); font-weight: 400; font-style: normal; }
-
-@font-face { font-family: KaTeX_Size4; src: url(fonts/KaTeX_Size4-Regular.woff2) format("woff2"), url(fonts/KaTeX_Size4-Regular.woff) format("woff"), url(fonts/KaTeX_Size4-Regular.ttf) format("truetype"); font-weight: 400; font-style: normal; }
-
-@font-face { font-family: KaTeX_Typewriter; src: url(fonts/KaTeX_Typewriter-Regular.woff2) format("woff2"), url(fonts/KaTeX_Typewriter-Regular.woff) format("woff"), url(fonts/KaTeX_Typewriter-Regular.ttf) format("truetype"); font-weight: 400; font-style: normal; }
-.katex { font: normal 1.21em KaTeX_Main, Times New Roman, serif; line-height: 1.2; text-indent: 0; text-rendering: auto; border-color: currentColor; }
-.katex * { -ms-high-contrast-adjust: none !important; }
-.katex .katex-version::after { content: "0.12.0"; }
-.katex .katex-mathml { position: absolute; clip: rect(1px, 1px, 1px, 1px); padding: 0; border: 0; height: 1px; width: 1px; overflow: hidden; }
-.katex .katex-html > .newline { display: block; }
-.katex .base { position: relative; white-space: nowrap; width: min-content; }
-
-.katex .base,
-.katex .strut { display: inline-block; }
-.katex .textbf { font-weight: 700; }
-.katex .textit { font-style: italic; }
-.katex .textrm { font-family: KaTeX_Main; }
-.katex .textsf { font-family: KaTeX_SansSerif; }
-.katex .texttt { font-family: KaTeX_Typewriter; }
-.katex .mathnormal { font-family: KaTeX_Math; font-style: italic; }
-.katex .mathit { font-family: KaTeX_Main; font-style: italic; }
-.katex .mathrm { font-style: normal; }
-.katex .mathbf { font-family: KaTeX_Main; font-weight: 700; }
-.katex .boldsymbol { font-family: KaTeX_Math; font-weight: 700; font-style: italic; }
-
-.katex .amsrm,
-.katex .mathbb,
-.katex .textbb { font-family: KaTeX_AMS; }
-.katex .mathcal { font-family: KaTeX_Caligraphic; }
-
-.katex .mathfrak,
-.katex .textfrak { font-family: KaTeX_Fraktur; }
-.katex .mathtt { font-family: KaTeX_Typewriter; }
-
-.katex .mathscr,
-.katex .textscr { font-family: KaTeX_Script; }
-
-.katex .mathsf,
-.katex .textsf { font-family: KaTeX_SansSerif; }
-
-.katex .mathboldsf,
-.katex .textboldsf { font-family: KaTeX_SansSerif; font-weight: 700; }
-
-.katex .mathitsf,
-.katex .textitsf { font-family: KaTeX_SansSerif; font-style: italic; }
-.katex .mainrm { font-family: KaTeX_Main; font-style: normal; }
-.katex .vlist-t { display: inline-table; table-layout: fixed; border-collapse: collapse; }
-.katex .vlist-r { display: table-row; }
-.katex .vlist { display: table-cell; vertical-align: bottom; position: relative; }
-.katex .vlist > span { display: block; height: 0; position: relative; }
-.katex .vlist > span > span { display: inline-block; }
-.katex .vlist > span > .pstrut { overflow: hidden; width: 0; }
-.katex .vlist-t2 { margin-right: -2px; }
-.katex .vlist-s { display: table-cell; vertical-align: bottom; font-size: 1px; width: 2px; min-width: 2px; }
-.katex .vbox { -ms-flex-direction: column; flex-direction: column; align-items: baseline; }
-
-.katex .hbox,
-.katex .vbox { display: -ms-inline-flexbox; display: inline-flex; }
-.katex .hbox { -ms-flex-direction: row; flex-direction: row; width: 100%; }
-.katex .thinbox { display: inline-flex; flex-direction: row; width: 0; max-width: 0; }
-.katex .msupsub { text-align: left; }
-.katex .mfrac > span > span { text-align: center; }
-.katex .mfrac .frac-line { display: inline-block; width: 100%; border-bottom-style: solid; }
-
-.katex .hdashline,
-.katex .hline,
-.katex .mfrac .frac-line,
-.katex .overline .overline-line,
-.katex .rule,
-.katex .underline .underline-line { min-height: 1px; }
-.katex .mspace { display: inline-block; }
-
-.katex .clap,
-.katex .llap,
-.katex .rlap { width: 0; position: relative; }
-
-.katex .clap > .inner,
-.katex .llap > .inner,
-.katex .rlap > .inner { position: absolute; }
-
-.katex .clap > .fix,
-.katex .llap > .fix,
-.katex .rlap > .fix { display: inline-block; }
-.katex .llap > .inner { right: 0; }
-
-.katex .clap > .inner,
-.katex .rlap > .inner { left: 0; }
-.katex .clap > .inner > span { margin-left: -50%; margin-right: 50%; }
-.katex .rule { display: inline-block; border: 0 solid; position: relative; }
-
-.katex .hline,
-.katex .overline .overline-line,
-.katex .underline .underline-line { display: inline-block; width: 100%; border-bottom-style: solid; }
-.katex .hdashline { display: inline-block; width: 100%; border-bottom-style: dashed; }
-.katex .sqrt > .root { margin-left: 0.27777778em; margin-right: -0.55555556em; }
-
-.katex .fontsize-ensurer.reset-size1.size1,
-.katex .sizing.reset-size1.size1 { font-size: 1em; }
-
-.katex .fontsize-ensurer.reset-size1.size2,
-.katex .sizing.reset-size1.size2 { font-size: 1.2em; }
-
-.katex .fontsize-ensurer.reset-size1.size3,
-.katex .sizing.reset-size1.size3 { font-size: 1.4em; }
-
-.katex .fontsize-ensurer.reset-size1.size4,
-.katex .sizing.reset-size1.size4 { font-size: 1.6em; }
-
-.katex .fontsize-ensurer.reset-size1.size5,
-.katex .sizing.reset-size1.size5 { font-size: 1.8em; }
-
-.katex .fontsize-ensurer.reset-size1.size6,
-.katex .sizing.reset-size1.size6 { font-size: 2em; }
-
-.katex .fontsize-ensurer.reset-size1.size7,
-.katex .sizing.reset-size1.size7 { font-size: 2.4em; }
-
-.katex .fontsize-ensurer.reset-size1.size8,
-.katex .sizing.reset-size1.size8 { font-size: 2.88em; }
-
-.katex .fontsize-ensurer.reset-size1.size9,
-.katex .sizing.reset-size1.size9 { font-size: 3.456em; }
-
-.katex .fontsize-ensurer.reset-size1.size10,
-.katex .sizing.reset-size1.size10 { font-size: 4.148em; }
-
-.katex .fontsize-ensurer.reset-size1.size11,
-.katex .sizing.reset-size1.size11 { font-size: 4.976em; }
-
-.katex .fontsize-ensurer.reset-size2.size1,
-.katex .sizing.reset-size2.size1 { font-size: 0.83333333em; }
-
-.katex .fontsize-ensurer.reset-size2.size2,
-.katex .sizing.reset-size2.size2 { font-size: 1em; }
-
-.katex .fontsize-ensurer.reset-size2.size3,
-.katex .sizing.reset-size2.size3 { font-size: 1.16666667em; }
-
-.katex .fontsize-ensurer.reset-size2.size4,
-.katex .sizing.reset-size2.size4 { font-size: 1.33333333em; }
-
-.katex .fontsize-ensurer.reset-size2.size5,
-.katex .sizing.reset-size2.size5 { font-size: 1.5em; }
-
-.katex .fontsize-ensurer.reset-size2.size6,
-.katex .sizing.reset-size2.size6 { font-size: 1.66666667em; }
-
-.katex .fontsize-ensurer.reset-size2.size7,
-.katex .sizing.reset-size2.size7 { font-size: 2em; }
-
-.katex .fontsize-ensurer.reset-size2.size8,
-.katex .sizing.reset-size2.size8 { font-size: 2.4em; }
-
-.katex .fontsize-ensurer.reset-size2.size9,
-.katex .sizing.reset-size2.size9 { font-size: 2.88em; }
-
-.katex .fontsize-ensurer.reset-size2.size10,
-.katex .sizing.reset-size2.size10 { font-size: 3.45666667em; }
-
-.katex .fontsize-ensurer.reset-size2.size11,
-.katex .sizing.reset-size2.size11 { font-size: 4.14666667em; }
-
-.katex .fontsize-ensurer.reset-size3.size1,
-.katex .sizing.reset-size3.size1 { font-size: 0.71428571em; }
-
-.katex .fontsize-ensurer.reset-size3.size2,
-.katex .sizing.reset-size3.size2 { font-size: 0.85714286em; }
-
-.katex .fontsize-ensurer.reset-size3.size3,
-.katex .sizing.reset-size3.size3 { font-size: 1em; }
-
-.katex .fontsize-ensurer.reset-size3.size4,
-.katex .sizing.reset-size3.size4 { font-size: 1.14285714em; }
-
-.katex .fontsize-ensurer.reset-size3.size5,
-.katex .sizing.reset-size3.size5 { font-size: 1.28571429em; }
-
-.katex .fontsize-ensurer.reset-size3.size6,
-.katex .sizing.reset-size3.size6 { font-size: 1.42857143em; }
-
-.katex .fontsize-ensurer.reset-size3.size7,
-.katex .sizing.reset-size3.size7 { font-size: 1.71428571em; }
-
-.katex .fontsize-ensurer.reset-size3.size8,
-.katex .sizing.reset-size3.size8 { font-size: 2.05714286em; }
-
-.katex .fontsize-ensurer.reset-size3.size9,
-.katex .sizing.reset-size3.size9 { font-size: 2.46857143em; }
-
-.katex .fontsize-ensurer.reset-size3.size10,
-.katex .sizing.reset-size3.size10 { font-size: 2.96285714em; }
-
-.katex .fontsize-ensurer.reset-size3.size11,
-.katex .sizing.reset-size3.size11 { font-size: 3.55428571em; }
-
-.katex .fontsize-ensurer.reset-size4.size1,
-.katex .sizing.reset-size4.size1 { font-size: 0.625em; }
-
-.katex .fontsize-ensurer.reset-size4.size2,
-.katex .sizing.reset-size4.size2 { font-size: 0.75em; }
-
-.katex .fontsize-ensurer.reset-size4.size3,
-.katex .sizing.reset-size4.size3 { font-size: 0.875em; }
-
-.katex .fontsize-ensurer.reset-size4.size4,
-.katex .sizing.reset-size4.size4 { font-size: 1em; }
-
-.katex .fontsize-ensurer.reset-size4.size5,
-.katex .sizing.reset-size4.size5 { font-size: 1.125em; }
-
-.katex .fontsize-ensurer.reset-size4.size6,
-.katex .sizing.reset-size4.size6 { font-size: 1.25em; }
-
-.katex .fontsize-ensurer.reset-size4.size7,
-.katex .sizing.reset-size4.size7 { font-size: 1.5em; }
-
-.katex .fontsize-ensurer.reset-size4.size8,
-.katex .sizing.reset-size4.size8 { font-size: 1.8em; }
-
-.katex .fontsize-ensurer.reset-size4.size9,
-.katex .sizing.reset-size4.size9 { font-size: 2.16em; }
-
-.katex .fontsize-ensurer.reset-size4.size10,
-.katex .sizing.reset-size4.size10 { font-size: 2.5925em; }
-
-.katex .fontsize-ensurer.reset-size4.size11,
-.katex .sizing.reset-size4.size11 { font-size: 3.11em; }
-
-.katex .fontsize-ensurer.reset-size5.size1,
-.katex .sizing.reset-size5.size1 { font-size: 0.55555556em; }
-
-.katex .fontsize-ensurer.reset-size5.size2,
-.katex .sizing.reset-size5.size2 { font-size: 0.66666667em; }
-
-.katex .fontsize-ensurer.reset-size5.size3,
-.katex .sizing.reset-size5.size3 { font-size: 0.77777778em; }
-
-.katex .fontsize-ensurer.reset-size5.size4,
-.katex .sizing.reset-size5.size4 { font-size: 0.88888889em; }
-
-.katex .fontsize-ensurer.reset-size5.size5,
-.katex .sizing.reset-size5.size5 { font-size: 1em; }
-
-.katex .fontsize-ensurer.reset-size5.size6,
-.katex .sizing.reset-size5.size6 { font-size: 1.11111111em; }
-
-.katex .fontsize-ensurer.reset-size5.size7,
-.katex .sizing.reset-size5.size7 { font-size: 1.33333333em; }
-
-.katex .fontsize-ensurer.reset-size5.size8,
-.katex .sizing.reset-size5.size8 { font-size: 1.6em; }
-
-.katex .fontsize-ensurer.reset-size5.size9,
-.katex .sizing.reset-size5.size9 { font-size: 1.92em; }
-
-.katex .fontsize-ensurer.reset-size5.size10,
-.katex .sizing.reset-size5.size10 { font-size: 2.30444444em; }
-
-.katex .fontsize-ensurer.reset-size5.size11,
-.katex .sizing.reset-size5.size11 { font-size: 2.76444444em; }
-
-.katex .fontsize-ensurer.reset-size6.size1,
-.katex .sizing.reset-size6.size1 { font-size: 0.5em; }
-
-.katex .fontsize-ensurer.reset-size6.size2,
-.katex .sizing.reset-size6.size2 { font-size: 0.6em; }
-
-.katex .fontsize-ensurer.reset-size6.size3,
-.katex .sizing.reset-size6.size3 { font-size: 0.7em; }
-
-.katex .fontsize-ensurer.reset-size6.size4,
-.katex .sizing.reset-size6.size4 { font-size: 0.8em; }
-
-.katex .fontsize-ensurer.reset-size6.size5,
-.katex .sizing.reset-size6.size5 { font-size: 0.9em; }
-
-.katex .fontsize-ensurer.reset-size6.size6,
-.katex .sizing.reset-size6.size6 { font-size: 1em; }
-
-.katex .fontsize-ensurer.reset-size6.size7,
-.katex .sizing.reset-size6.size7 { font-size: 1.2em; }
-
-.katex .fontsize-ensurer.reset-size6.size8,
-.katex .sizing.reset-size6.size8 { font-size: 1.44em; }
-
-.katex .fontsize-ensurer.reset-size6.size9,
-.katex .sizing.reset-size6.size9 { font-size: 1.728em; }
-
-.katex .fontsize-ensurer.reset-size6.size10,
-.katex .sizing.reset-size6.size10 { font-size: 2.074em; }
-
-.katex .fontsize-ensurer.reset-size6.size11,
-.katex .sizing.reset-size6.size11 { font-size: 2.488em; }
-
-.katex .fontsize-ensurer.reset-size7.size1,
-.katex .sizing.reset-size7.size1 { font-size: 0.41666667em; }
-
-.katex .fontsize-ensurer.reset-size7.size2,
-.katex .sizing.reset-size7.size2 { font-size: 0.5em; }
-
-.katex .fontsize-ensurer.reset-size7.size3,
-.katex .sizing.reset-size7.size3 { font-size: 0.58333333em; }
-
-.katex .fontsize-ensurer.reset-size7.size4,
-.katex .sizing.reset-size7.size4 { font-size: 0.66666667em; }
-
-.katex .fontsize-ensurer.reset-size7.size5,
-.katex .sizing.reset-size7.size5 { font-size: 0.75em; }
-
-.katex .fontsize-ensurer.reset-size7.size6,
-.katex .sizing.reset-size7.size6 { font-size: 0.83333333em; }
-
-.katex .fontsize-ensurer.reset-size7.size7,
-.katex .sizing.reset-size7.size7 { font-size: 1em; }
-
-.katex .fontsize-ensurer.reset-size7.size8,
-.katex .sizing.reset-size7.size8 { font-size: 1.2em; }
-
-.katex .fontsize-ensurer.reset-size7.size9,
-.katex .sizing.reset-size7.size9 { font-size: 1.44em; }
-
-.katex .fontsize-ensurer.reset-size7.size10,
-.katex .sizing.reset-size7.size10 { font-size: 1.72833333em; }
-
-.katex .fontsize-ensurer.reset-size7.size11,
-.katex .sizing.reset-size7.size11 { font-size: 2.07333333em; }
-
-.katex .fontsize-ensurer.reset-size8.size1,
-.katex .sizing.reset-size8.size1 { font-size: 0.34722222em; }
-
-.katex .fontsize-ensurer.reset-size8.size2,
-.katex .sizing.reset-size8.size2 { font-size: 0.41666667em; }
-
-.katex .fontsize-ensurer.reset-size8.size3,
-.katex .sizing.reset-size8.size3 { font-size: 0.48611111em; }
-
-.katex .fontsize-ensurer.reset-size8.size4,
-.katex .sizing.reset-size8.size4 { font-size: 0.55555556em; }
-
-.katex .fontsize-ensurer.reset-size8.size5,
-.katex .sizing.reset-size8.size5 { font-size: 0.625em; }
-
-.katex .fontsize-ensurer.reset-size8.size6,
-.katex .sizing.reset-size8.size6 { font-size: 0.69444444em; }
-
-.katex .fontsize-ensurer.reset-size8.size7,
-.katex .sizing.reset-size8.size7 { font-size: 0.83333333em; }
-
-.katex .fontsize-ensurer.reset-size8.size8,
-.katex .sizing.reset-size8.size8 { font-size: 1em; }
-
-.katex .fontsize-ensurer.reset-size8.size9,
-.katex .sizing.reset-size8.size9 { font-size: 1.2em; }
-
-.katex .fontsize-ensurer.reset-size8.size10,
-.katex .sizing.reset-size8.size10 { font-size: 1.44027778em; }
-
-.katex .fontsize-ensurer.reset-size8.size11,
-.katex .sizing.reset-size8.size11 { font-size: 1.72777778em; }
-
-.katex .fontsize-ensurer.reset-size9.size1,
-.katex .sizing.reset-size9.size1 { font-size: 0.28935185em; }
-
-.katex .fontsize-ensurer.reset-size9.size2,
-.katex .sizing.reset-size9.size2 { font-size: 0.34722222em; }
-
-.katex .fontsize-ensurer.reset-size9.size3,
-.katex .sizing.reset-size9.size3 { font-size: 0.40509259em; }
-
-.katex .fontsize-ensurer.reset-size9.size4,
-.katex .sizing.reset-size9.size4 { font-size: 0.46296296em; }
-
-.katex .fontsize-ensurer.reset-size9.size5,
-.katex .sizing.reset-size9.size5 { font-size: 0.52083333em; }
-
-.katex .fontsize-ensurer.reset-size9.size6,
-.katex .sizing.reset-size9.size6 { font-size: 0.5787037em; }
-
-.katex .fontsize-ensurer.reset-size9.size7,
-.katex .sizing.reset-size9.size7 { font-size: 0.69444444em; }
-
-.katex .fontsize-ensurer.reset-size9.size8,
-.katex .sizing.reset-size9.size8 { font-size: 0.83333333em; }
-
-.katex .fontsize-ensurer.reset-size9.size9,
-.katex .sizing.reset-size9.size9 { font-size: 1em; }
-
-.katex .fontsize-ensurer.reset-size9.size10,
-.katex .sizing.reset-size9.size10 { font-size: 1.20023148em; }
-
-.katex .fontsize-ensurer.reset-size9.size11,
-.katex .sizing.reset-size9.size11 { font-size: 1.43981481em; }
-
-.katex .fontsize-ensurer.reset-size10.size1,
-.katex .sizing.reset-size10.size1 { font-size: 0.24108004em; }
-
-.katex .fontsize-ensurer.reset-size10.size2,
-.katex .sizing.reset-size10.size2 { font-size: 0.28929605em; }
-
-.katex .fontsize-ensurer.reset-size10.size3,
-.katex .sizing.reset-size10.size3 { font-size: 0.33751205em; }
-
-.katex .fontsize-ensurer.reset-size10.size4,
-.katex .sizing.reset-size10.size4 { font-size: 0.38572806em; }
-
-.katex .fontsize-ensurer.reset-size10.size5,
-.katex .sizing.reset-size10.size5 { font-size: 0.43394407em; }
-
-.katex .fontsize-ensurer.reset-size10.size6,
-.katex .sizing.reset-size10.size6 { font-size: 0.48216008em; }
-
-.katex .fontsize-ensurer.reset-size10.size7,
-.katex .sizing.reset-size10.size7 { font-size: 0.57859209em; }
-
-.katex .fontsize-ensurer.reset-size10.size8,
-.katex .sizing.reset-size10.size8 { font-size: 0.69431051em; }
-
-.katex .fontsize-ensurer.reset-size10.size9,
-.katex .sizing.reset-size10.size9 { font-size: 0.83317261em; }
-
-.katex .fontsize-ensurer.reset-size10.size10,
-.katex .sizing.reset-size10.size10 { font-size: 1em; }
-
-.katex .fontsize-ensurer.reset-size10.size11,
-.katex .sizing.reset-size10.size11 { font-size: 1.19961427em; }
-
-.katex .fontsize-ensurer.reset-size11.size1,
-.katex .sizing.reset-size11.size1 { font-size: 0.20096463em; }
-
-.katex .fontsize-ensurer.reset-size11.size2,
-.katex .sizing.reset-size11.size2 { font-size: 0.24115756em; }
-
-.katex .fontsize-ensurer.reset-size11.size3,
-.katex .sizing.reset-size11.size3 { font-size: 0.28135048em; }
-
-.katex .fontsize-ensurer.reset-size11.size4,
-.katex .sizing.reset-size11.size4 { font-size: 0.32154341em; }
-
-.katex .fontsize-ensurer.reset-size11.size5,
-.katex .sizing.reset-size11.size5 { font-size: 0.36173633em; }
-
-.katex .fontsize-ensurer.reset-size11.size6,
-.katex .sizing.reset-size11.size6 { font-size: 0.40192926em; }
-
-.katex .fontsize-ensurer.reset-size11.size7,
-.katex .sizing.reset-size11.size7 { font-size: 0.48231511em; }
-
-.katex .fontsize-ensurer.reset-size11.size8,
-.katex .sizing.reset-size11.size8 { font-size: 0.57877814em; }
-
-.katex .fontsize-ensurer.reset-size11.size9,
-.katex .sizing.reset-size11.size9 { font-size: 0.69453376em; }
-
-.katex .fontsize-ensurer.reset-size11.size10,
-.katex .sizing.reset-size11.size10 { font-size: 0.83360129em; }
-
-.katex .fontsize-ensurer.reset-size11.size11,
-.katex .sizing.reset-size11.size11 { font-size: 1em; }
-.katex .delimsizing.size1 { font-family: KaTeX_Size1; }
-.katex .delimsizing.size2 { font-family: KaTeX_Size2; }
-.katex .delimsizing.size3 { font-family: KaTeX_Size3; }
-.katex .delimsizing.size4 { font-family: KaTeX_Size4; }
-.katex .delimsizing.mult .delim-size1 > span { font-family: KaTeX_Size1; }
-.katex .delimsizing.mult .delim-size4 > span { font-family: KaTeX_Size4; }
-.katex .nulldelimiter { display: inline-block; width: 0.12em; }
-
-.katex .delimcenter,
-.katex .op-symbol { position: relative; }
-.katex .op-symbol.small-op { font-family: KaTeX_Size1; }
-.katex .op-symbol.large-op { font-family: KaTeX_Size2; }
-.katex .op-limits > .vlist-t { text-align: center; }
-.katex .accent > .vlist-t { text-align: center; }
-.katex .accent .accent-body { position: relative; }
-.katex .accent .accent-body:not(.accent-full) { width: 0; }
-.katex .overlay { display: block; }
-.katex .mtable .vertical-separator { display: inline-block; min-width: 1px; }
-.katex .mtable .arraycolsep { display: inline-block; }
-.katex .mtable .col-align-c > .vlist-t { text-align: center; }
-.katex .mtable .col-align-l > .vlist-t { text-align: left; }
-.katex .mtable .col-align-r > .vlist-t { text-align: right; }
-.katex .svg-align { text-align: left; }
-.katex svg { display: block; position: absolute; width: 100%; height: inherit; fill: currentColor; stroke: currentColor; fill-rule: nonzero; fill-opacity: 1; stroke-width: 1; stroke-linecap: butt; stroke-linejoin: miter; stroke-miterlimit: 4; stroke-dasharray: none; stroke-dashoffset: 0; stroke-opacity: 1; }
-.katex svg path { stroke: none; }
-.katex img { border-style: none; min-width: 0; min-height: 0; max-width: none; max-height: none; }
-.katex .stretchy { width: 100%; display: block; position: relative; overflow: hidden; }
-
-.katex .stretchy::after,
-.katex .stretchy::before { content: ""; }
-.katex .hide-tail { width: 100%; position: relative; overflow: hidden; }
-.katex .halfarrow-left { position: absolute; left: 0; width: 50.2%; overflow: hidden; }
-.katex .halfarrow-right { position: absolute; right: 0; width: 50.2%; overflow: hidden; }
-.katex .brace-left { position: absolute; left: 0; width: 25.1%; overflow: hidden; }
-.katex .brace-center { position: absolute; left: 25%; width: 50%; overflow: hidden; }
-.katex .brace-right { position: absolute; right: 0; width: 25.1%; overflow: hidden; }
-.katex .x-arrow-pad { padding: 0 0.5em; }
-
-.katex .mover,
-.katex .munder,
-.katex .x-arrow { text-align: center; }
-.katex .boxpad { padding: 0 0.3em; }
-
-.katex .fbox,
-.katex .fcolorbox { box-sizing: border-box; border: 0.04em solid; }
-.katex .cancel-pad { padding: 0 0.2em; }
-.katex .cancel-lap { margin-left: -0.2em; margin-right: -0.2em; }
-.katex .sout { border-bottom-style: solid; border-bottom-width: 0.08em; }
-.katex-display { display: block; margin: 1em 0; text-align: center; }
-.katex-display > .katex { display: block; text-align: center; white-space: nowrap; }
-.katex-display > .katex > .katex-html { display: block; position: relative; }
-.katex-display > .katex > .katex-html > .tag { position: absolute; right: 0; }
-.katex-display.leqno > .katex > .katex-html > .tag { left: 0; right: auto; }
-.katex-display.fleqn > .katex { text-align: left; padding-left: 2em; }
diff --git a/previews/PR41/libs/katex/katex.min.js b/previews/PR41/libs/katex/katex.min.js
deleted file mode 100644
index 4df7e17..0000000
--- a/previews/PR41/libs/katex/katex.min.js
+++ /dev/null
@@ -1 +0,0 @@
-!function(t,e){"object"==typeof exports&&"object"==typeof module?module.exports=e():"function"==typeof define&&define.amd?define([],e):"object"==typeof exports?exports.katex=e():t.katex=e()}("undefined"!=typeof self?self:this,function(){return function(t){var e={};function r(a){if(e[a])return e[a].exports;var n=e[a]={i:a,l:!1,exports:{}};return t[a].call(n.exports,n,n.exports,r),n.l=!0,n.exports}return r.m=t,r.c=e,r.d=function(t,e,a){r.o(t,e)||Object.defineProperty(t,e,{enumerable:!0,get:a})},r.r=function(t){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(t,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(t,"__esModule",{value:!0})},r.t=function(t,e){if(1&e&&(t=r(t)),8&e)return t;if(4&e&&"object"==typeof t&&t&&t.__esModule)return t;var a=Object.create(null);if(r.r(a),Object.defineProperty(a,"default",{enumerable:!0,value:t}),2&e&&"string"!=typeof t)for(var n in t)r.d(a,n,function(e){return t[e]}.bind(null,n));return a},r.n=function(t){var e=t&&t.__esModule?function(){return t.default}:function(){return t};return r.d(e,"a",e),e},r.o=function(t,e){return Object.prototype.hasOwnProperty.call(t,e)},r.p="",r(r.s=1)}([function(t,e,r){},function(t,e,r){"use strict";r.r(e);r(0);var a=function(){function t(t,e,r){this.lexer=void 0,this.start=void 0,this.end=void 0,this.lexer=t,this.start=e,this.end=r}return t.range=function(e,r){return r?e&&e.loc&&r.loc&&e.loc.lexer===r.loc.lexer?new t(e.loc.lexer,e.loc.start,r.loc.end):null:e&&e.loc},t}(),n=function(){function t(t,e){this.text=void 0,this.loc=void 0,this.noexpand=void 0,this.treatAsRelax=void 0,this.text=t,this.loc=e}return t.prototype.range=function(e,r){return new t(r,a.range(this,e))},t}(),i=function t(e,r){this.position=void 0;var a,n="KaTeX parse error: "+e,i=r&&r.loc;if(i&&i.start<=i.end){var o=i.lexer.input;a=i.start;var s=i.end;a===o.length?n+=" at end of input: ":n+=" at position "+(a+1)+": ";var l=o.slice(a,s).replace(/[^]/g,"$&\u0332");n+=(a>15?"\u2026"+o.slice(a-15,a):o.slice(0,a))+l+(s+15<o.length?o.slice(s,s+15)+"\u2026":o.slice(s))}var h=new Error(n);return h.name="ParseError",h.__proto__=t.prototype,h.position=a,h};i.prototype.__proto__=Error.prototype;var o=i,s=/([A-Z])/g,l={"&":"&amp;",">":"&gt;","<":"&lt;",'"':"&quot;","'":"&#x27;"},h=/[&><"']/g;var m=function t(e){return"ordgroup"===e.type?1===e.body.length?t(e.body[0]):e:"color"===e.type?1===e.body.length?t(e.body[0]):e:"font"===e.type?t(e.body):e},c={contains:function(t,e){return-1!==t.indexOf(e)},deflt:function(t,e){return void 0===t?e:t},escape:function(t){return String(t).replace(h,function(t){return l[t]})},hyphenate:function(t){return t.replace(s,"-$1").toLowerCase()},getBaseElem:m,isCharacterBox:function(t){var e=m(t);return"mathord"===e.type||"textord"===e.type||"atom"===e.type},protocolFromUrl:function(t){var e=/^\s*([^\\/#]*?)(?::|&#0*58|&#x0*3a)/i.exec(t);return null!=e?e[1]:"_relative"}},u=function(){function t(t){this.displayMode=void 0,this.output=void 0,this.leqno=void 0,this.fleqn=void 0,this.throwOnError=void 0,this.errorColor=void 0,this.macros=void 0,this.minRuleThickness=void 0,this.colorIsTextColor=void 0,this.strict=void 0,this.trust=void 0,this.maxSize=void 0,this.maxExpand=void 0,this.globalGroup=void 0,t=t||{},this.displayMode=c.deflt(t.displayMode,!1),this.output=c.deflt(t.output,"htmlAndMathml"),this.leqno=c.deflt(t.leqno,!1),this.fleqn=c.deflt(t.fleqn,!1),this.throwOnError=c.deflt(t.throwOnError,!0),this.errorColor=c.deflt(t.errorColor,"#cc0000"),this.macros=t.macros||{},this.minRuleThickness=Math.max(0,c.deflt(t.minRuleThickness,0)),this.colorIsTextColor=c.deflt(t.colorIsTextColor,!1),this.strict=c.deflt(t.strict,"warn"),this.trust=c.deflt(t.trust,!1),this.maxSize=Math.max(0,c.deflt(t.maxSize,1/0)),this.maxExpand=Math.max(0,c.deflt(t.maxExpand,1e3)),this.globalGroup=c.deflt(t.globalGroup,!1)}var e=t.prototype;return e.reportNonstrict=function(t,e,r){var a=this.strict;if("function"==typeof a&&(a=a(t,e,r)),a&&"ignore"!==a){if(!0===a||"error"===a)throw new o("LaTeX-incompatible input and strict mode is set to 'error': "+e+" ["+t+"]",r);"warn"===a?"undefined"!=typeof console&&console.warn("LaTeX-incompatible input and strict mode is set to 'warn': "+e+" ["+t+"]"):"undefined"!=typeof console&&console.warn("LaTeX-incompatible input and strict mode is set to unrecognized '"+a+"': "+e+" ["+t+"]")}},e.useStrictBehavior=function(t,e,r){var a=this.strict;if("function"==typeof a)try{a=a(t,e,r)}catch(t){a="error"}return!(!a||"ignore"===a)&&(!0===a||"error"===a||("warn"===a?("undefined"!=typeof console&&console.warn("LaTeX-incompatible input and strict mode is set to 'warn': "+e+" ["+t+"]"),!1):("undefined"!=typeof console&&console.warn("LaTeX-incompatible input and strict mode is set to unrecognized '"+a+"': "+e+" ["+t+"]"),!1)))},e.isTrusted=function(t){t.url&&!t.protocol&&(t.protocol=c.protocolFromUrl(t.url));var e="function"==typeof this.trust?this.trust(t):this.trust;return Boolean(e)},t}(),p=function(){function t(t,e,r){this.id=void 0,this.size=void 0,this.cramped=void 0,this.id=t,this.size=e,this.cramped=r}var e=t.prototype;return e.sup=function(){return d[f[this.id]]},e.sub=function(){return d[g[this.id]]},e.fracNum=function(){return d[x[this.id]]},e.fracDen=function(){return d[v[this.id]]},e.cramp=function(){return d[b[this.id]]},e.text=function(){return d[y[this.id]]},e.isTight=function(){return this.size>=2},t}(),d=[new p(0,0,!1),new p(1,0,!0),new p(2,1,!1),new p(3,1,!0),new p(4,2,!1),new p(5,2,!0),new p(6,3,!1),new p(7,3,!0)],f=[4,5,4,5,6,7,6,7],g=[5,5,5,5,7,7,7,7],x=[2,3,4,5,6,7,6,7],v=[3,3,5,5,7,7,7,7],b=[1,1,3,3,5,5,7,7],y=[0,1,2,3,2,3,2,3],w={DISPLAY:d[0],TEXT:d[2],SCRIPT:d[4],SCRIPTSCRIPT:d[6]},k=[{name:"latin",blocks:[[256,591],[768,879]]},{name:"cyrillic",blocks:[[1024,1279]]},{name:"brahmic",blocks:[[2304,4255]]},{name:"georgian",blocks:[[4256,4351]]},{name:"cjk",blocks:[[12288,12543],[19968,40879],[65280,65376]]},{name:"hangul",blocks:[[44032,55215]]}];var S=[];function M(t){for(var e=0;e<S.length;e+=2)if(t>=S[e]&&t<=S[e+1])return!0;return!1}k.forEach(function(t){return t.blocks.forEach(function(t){return S.push.apply(S,t)})});var z={leftParenInner:"M291 0 H417 V300 H291 z",rightParenInner:"M457 0 H583 V300 H457 z",doubleleftarrow:"M262 157\nl10-10c34-36 62.7-77 86-123 3.3-8 5-13.3 5-16 0-5.3-6.7-8-20-8-7.3\n 0-12.2.5-14.5 1.5-2.3 1-4.8 4.5-7.5 10.5-49.3 97.3-121.7 169.3-217 216-28\n 14-57.3 25-88 33-6.7 2-11 3.8-13 5.5-2 1.7-3 4.2-3 7.5s1 5.8 3 7.5\nc2 1.7 6.3 3.5 13 5.5 68 17.3 128.2 47.8 180.5 91.5 52.3 43.7 93.8 96.2 124.5\n 157.5 9.3 8 15.3 12.3 18 13h6c12-.7 18-4 18-10 0-2-1.7-7-5-15-23.3-46-52-87\n-86-123l-10-10h399738v-40H218c328 0 0 0 0 0l-10-8c-26.7-20-65.7-43-117-69 2.7\n-2 6-3.7 10-5 36.7-16 72.3-37.3 107-64l10-8h399782v-40z\nm8 0v40h399730v-40zm0 194v40h399730v-40z",doublerightarrow:"M399738 392l\n-10 10c-34 36-62.7 77-86 123-3.3 8-5 13.3-5 16 0 5.3 6.7 8 20 8 7.3 0 12.2-.5\n 14.5-1.5 2.3-1 4.8-4.5 7.5-10.5 49.3-97.3 121.7-169.3 217-216 28-14 57.3-25 88\n-33 6.7-2 11-3.8 13-5.5 2-1.7 3-4.2 3-7.5s-1-5.8-3-7.5c-2-1.7-6.3-3.5-13-5.5-68\n-17.3-128.2-47.8-180.5-91.5-52.3-43.7-93.8-96.2-124.5-157.5-9.3-8-15.3-12.3-18\n-13h-6c-12 .7-18 4-18 10 0 2 1.7 7 5 15 23.3 46 52 87 86 123l10 10H0v40h399782\nc-328 0 0 0 0 0l10 8c26.7 20 65.7 43 117 69-2.7 2-6 3.7-10 5-36.7 16-72.3 37.3\n-107 64l-10 8H0v40zM0 157v40h399730v-40zm0 194v40h399730v-40z",leftarrow:"M400000 241H110l3-3c68.7-52.7 113.7-120\n 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8\n-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247\nc-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208\n 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3\n 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202\n l-3-3h399890zM100 241v40h399900v-40z",leftbrace:"M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117\n-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7\n 5-6 9-10 13-.7 1-7.3 1-20 1H6z",leftbraceunder:"M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13\n 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688\n 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7\n-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z",leftgroup:"M400000 80\nH435C64 80 168.3 229.4 21 260c-5.9 1.2-18 0-18 0-2 0-3-1-3-3v-38C76 61 257 0\n 435 0h399565z",leftgroupunder:"M400000 262\nH435C64 262 168.3 112.6 21 82c-5.9-1.2-18 0-18 0-2 0-3 1-3 3v38c76 158 257 219\n 435 219h399565z",leftharpoon:"M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3\n-3.3 10.2-9.5 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5\n-18.3 3-21-1.3-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7\n-196 228-6.7 4.7-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40z",leftharpoonplus:"M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3-3.3 10.2-9.5\n 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5-18.3 3-21-1.3\n-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7-196 228-6.7 4.7\n-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40zM0 435v40h400000v-40z\nm0 0v40h400000v-40z",leftharpoondown:"M7 241c-4 4-6.333 8.667-7 14 0 5.333.667 9 2 11s5.333\n 5.333 12 10c90.667 54 156 130 196 228 3.333 10.667 6.333 16.333 9 17 2 .667 5\n 1 9 1h5c10.667 0 16.667-2 18-6 2-2.667 1-9.667-3-21-32-87.333-82.667-157.667\n-152-211l-3-3h399907v-40zM93 281 H400000 v-40L7 241z",leftharpoondownplus:"M7 435c-4 4-6.3 8.7-7 14 0 5.3.7 9 2 11s5.3 5.3 12\n 10c90.7 54 156 130 196 228 3.3 10.7 6.3 16.3 9 17 2 .7 5 1 9 1h5c10.7 0 16.7\n-2 18-6 2-2.7 1-9.7-3-21-32-87.3-82.7-157.7-152-211l-3-3h399907v-40H7zm93 0\nv40h399900v-40zM0 241v40h399900v-40zm0 0v40h399900v-40z",lefthook:"M400000 281 H103s-33-11.2-61-33.5S0 197.3 0 164s14.2-61.2 42.5\n-83.5C70.8 58.2 104 47 142 47 c16.7 0 25 6.7 25 20 0 12-8.7 18.7-26 20-40 3.3\n-68.7 15.7-86 37-10 12-15 25.3-15 40 0 22.7 9.8 40.7 29.5 54 19.7 13.3 43.5 21\n 71.5 23h399859zM103 281v-40h399897v40z",leftlinesegment:"M40 281 V428 H0 V94 H40 V241 H400000 v40z\nM40 281 V428 H0 V94 H40 V241 H400000 v40z",leftmapsto:"M40 281 V448H0V74H40V241H400000v40z\nM40 281 V448H0V74H40V241H400000v40z",leftToFrom:"M0 147h400000v40H0zm0 214c68 40 115.7 95.7 143 167h22c15.3 0 23\n-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69-70-101l-7-8h399905v-40H95l7-8\nc28.7-32 52-65.7 70-101 10.7-23.3 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 265.3\n 68 321 0 361zm0-174v-40h399900v40zm100 154v40h399900v-40z",longequal:"M0 50 h400000 v40H0z m0 194h40000v40H0z\nM0 50 h400000 v40H0z m0 194h40000v40H0z",midbrace:"M200428 334\nc-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14\n-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7\n 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11\n 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z",midbraceunder:"M199572 214\nc100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14\n 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3\n 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0\n-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z",oiintSize1:"M512.6 71.6c272.6 0 320.3 106.8 320.3 178.2 0 70.8-47.7 177.6\n-320.3 177.6S193.1 320.6 193.1 249.8c0-71.4 46.9-178.2 319.5-178.2z\nm368.1 178.2c0-86.4-60.9-215.4-368.1-215.4-306.4 0-367.3 129-367.3 215.4 0 85.8\n60.9 214.8 367.3 214.8 307.2 0 368.1-129 368.1-214.8z",oiintSize2:"M757.8 100.1c384.7 0 451.1 137.6 451.1 230 0 91.3-66.4 228.8\n-451.1 228.8-386.3 0-452.7-137.5-452.7-228.8 0-92.4 66.4-230 452.7-230z\nm502.4 230c0-111.2-82.4-277.2-502.4-277.2s-504 166-504 277.2\nc0 110 84 276 504 276s502.4-166 502.4-276z",oiiintSize1:"M681.4 71.6c408.9 0 480.5 106.8 480.5 178.2 0 70.8-71.6 177.6\n-480.5 177.6S202.1 320.6 202.1 249.8c0-71.4 70.5-178.2 479.3-178.2z\nm525.8 178.2c0-86.4-86.8-215.4-525.7-215.4-437.9 0-524.7 129-524.7 215.4 0\n85.8 86.8 214.8 524.7 214.8 438.9 0 525.7-129 525.7-214.8z",oiiintSize2:"M1021.2 53c603.6 0 707.8 165.8 707.8 277.2 0 110-104.2 275.8\n-707.8 275.8-606 0-710.2-165.8-710.2-275.8C311 218.8 415.2 53 1021.2 53z\nm770.4 277.1c0-131.2-126.4-327.6-770.5-327.6S248.4 198.9 248.4 330.1\nc0 130 128.8 326.4 772.7 326.4s770.5-196.4 770.5-326.4z",rightarrow:"M0 241v40h399891c-47.3 35.3-84 78-110 128\n-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20\n 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7\n 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85\n-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n 151.7 139 205zm0 0v40h399900v-40z",rightbrace:"M400000 542l\n-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5\ns-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1\nc124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z",rightbraceunder:"M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3\n 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237\n-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z",rightgroup:"M0 80h399565c371 0 266.7 149.4 414 180 5.9 1.2 18 0 18 0 2 0\n 3-1 3-3v-38c-76-158-257-219-435-219H0z",rightgroupunder:"M0 262h399565c371 0 266.7-149.4 414-180 5.9-1.2 18 0 18\n 0 2 0 3 1 3 3v38c-76 158-257 219-435 219H0z",rightharpoon:"M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3\n-3.7-15.3-11-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2\n-10.7 0-16.7 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58\n 69.2 92 94.5zm0 0v40h399900v-40z",rightharpoonplus:"M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3-3.7-15.3-11\n-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2-10.7 0-16.7\n 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58 69.2 92 94.5z\nm0 0v40h399900v-40z m100 194v40h399900v-40zm0 0v40h399900v-40z",rightharpoondown:"M399747 511c0 7.3 6.7 11 20 11 8 0 13-.8 15-2.5s4.7-6.8\n 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3 8.5-5.8 9.5\n-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3-64.7 57-92 95\n-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 241v40h399900v-40z",rightharpoondownplus:"M399747 705c0 7.3 6.7 11 20 11 8 0 13-.8\n 15-2.5s4.7-6.8 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3\n 8.5-5.8 9.5-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3\n-64.7 57-92 95-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 435v40h399900v-40z\nm0-194v40h400000v-40zm0 0v40h400000v-40z",righthook:"M399859 241c-764 0 0 0 0 0 40-3.3 68.7-15.7 86-37 10-12 15-25.3\n 15-40 0-22.7-9.8-40.7-29.5-54-19.7-13.3-43.5-21-71.5-23-17.3-1.3-26-8-26-20 0\n-13.3 8.7-20 26-20 38 0 71 11.2 99 33.5 0 0 7 5.6 21 16.7 14 11.2 21 33.5 21\n 66.8s-14 61.2-42 83.5c-28 22.3-61 33.5-99 33.5L0 241z M0 281v-40h399859v40z",rightlinesegment:"M399960 241 V94 h40 V428 h-40 V281 H0 v-40z\nM399960 241 V94 h40 V428 h-40 V281 H0 v-40z",rightToFrom:"M400000 167c-70.7-42-118-97.7-142-167h-23c-15.3 0-23 .3-23\n 1 0 1.3 5.3 13.7 16 37 18 35.3 41.3 69 70 101l7 8H0v40h399905l-7 8c-28.7 32\n-52 65.7-70 101-10.7 23.3-16 35.7-16 37 0 .7 7.7 1 23 1h23c24-69.3 71.3-125 142\n-167z M100 147v40h399900v-40zM0 341v40h399900v-40z",twoheadleftarrow:"M0 167c68 40\n 115.7 95.7 143 167h22c15.3 0 23-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69\n-70-101l-7-8h125l9 7c50.7 39.3 85 86 103 140h46c0-4.7-6.3-18.7-19-42-18-35.3\n-40-67.3-66-96l-9-9h399716v-40H284l9-9c26-28.7 48-60.7 66-96 12.7-23.333 19\n-37.333 19-42h-46c-18 54-52.3 100.7-103 140l-9 7H95l7-8c28.7-32 52-65.7 70-101\n 10.7-23.333 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 71.3 68 127 0 167z",twoheadrightarrow:"M400000 167\nc-68-40-115.7-95.7-143-167h-22c-15.3 0-23 .3-23 1 0 1.3 5.3 13.7 16 37 18 35.3\n 41.3 69 70 101l7 8h-125l-9-7c-50.7-39.3-85-86-103-140h-46c0 4.7 6.3 18.7 19 42\n 18 35.3 40 67.3 66 96l9 9H0v40h399716l-9 9c-26 28.7-48 60.7-66 96-12.7 23.333\n-19 37.333-19 42h46c18-54 52.3-100.7 103-140l9-7h125l-7 8c-28.7 32-52 65.7-70\n 101-10.7 23.333-16 35.7-16 37 0 .7 7.7 1 23 1h22c27.3-71.3 75-127 143-167z",tilde1:"M200 55.538c-77 0-168 73.953-177 73.953-3 0-7\n-2.175-9-5.437L2 97c-1-2-2-4-2-6 0-4 2-7 5-9l20-12C116 12 171 0 207 0c86 0\n 114 68 191 68 78 0 168-68 177-68 4 0 7 2 9 5l12 19c1 2.175 2 4.35 2 6.525 0\n 4.35-2 7.613-5 9.788l-19 13.05c-92 63.077-116.937 75.308-183 76.128\n-68.267.847-113-73.952-191-73.952z",tilde2:"M344 55.266c-142 0-300.638 81.316-311.5 86.418\n-8.01 3.762-22.5 10.91-23.5 5.562L1 120c-1-2-1-3-1-4 0-5 3-9 8-10l18.4-9C160.9\n 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114\nc1 2.14 1 3.21 1 4.28 0 5.347-3 9.626-7 10.696l-22.3 12.622C852.6 158.372 751\n 181.476 676 181.476c-149 0-189-126.21-332-126.21z",tilde3:"M786 59C457 59 32 175.242 13 175.242c-6 0-10-3.457\n-11-10.37L.15 138c-1-7 3-12 10-13l19.2-6.4C378.4 40.7 634.3 0 804.3 0c337 0\n 411.8 157 746.8 157 328 0 754-112 773-112 5 0 10 3 11 9l1 14.075c1 8.066-.697\n 16.595-6.697 17.492l-21.052 7.31c-367.9 98.146-609.15 122.696-778.15 122.696\n -338 0-409-156.573-744-156.573z",tilde4:"M786 58C457 58 32 177.487 13 177.487c-6 0-10-3.345\n-11-10.035L.15 143c-1-7 3-12 10-13l22-6.7C381.2 35 637.15 0 807.15 0c337 0 409\n 177 744 177 328 0 754-127 773-127 5 0 10 3 11 9l1 14.794c1 7.805-3 13.38-9\n 14.495l-20.7 5.574c-366.85 99.79-607.3 139.372-776.3 139.372-338 0-409\n -175.236-744-175.236z",vec:"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z",widehat1:"M529 0h5l519 115c5 1 9 5 9 10 0 1-1 2-1 3l-4 22\nc-1 5-5 9-11 9h-2L532 67 19 159h-2c-5 0-9-4-11-9l-5-22c-1-6 2-12 8-13z",widehat2:"M1181 0h2l1171 176c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 220h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widehat3:"M1181 0h2l1171 236c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 280h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widehat4:"M1181 0h2l1171 296c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 340h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widecheck1:"M529,159h5l519,-115c5,-1,9,-5,9,-10c0,-1,-1,-2,-1,-3l-4,-22c-1,\n-5,-5,-9,-11,-9h-2l-512,92l-513,-92h-2c-5,0,-9,4,-11,9l-5,22c-1,6,2,12,8,13z",widecheck2:"M1181,220h2l1171,-176c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,153l-1167,-153h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",widecheck3:"M1181,280h2l1171,-236c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,213l-1167,-213h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",widecheck4:"M1181,340h2l1171,-296c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,273l-1167,-273h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",baraboveleftarrow:"M400000 620h-399890l3 -3c68.7 -52.7 113.7 -120 135 -202\nc4 -14.7 6 -23 6 -25c0 -7.3 -7 -11 -21 -11c-8 0 -13.2 0.8 -15.5 2.5\nc-2.3 1.7 -4.2 5.8 -5.5 12.5c-1.3 4.7 -2.7 10.3 -4 17c-12 48.7 -34.8 92 -68.5 130\ns-74.2 66.3 -121.5 85c-10 4 -16 7.7 -18 11c0 8.7 6 14.3 18 17c47.3 18.7 87.8 47\n121.5 85s56.5 81.3 68.5 130c0.7 2 1.3 5 2 9s1.2 6.7 1.5 8c0.3 1.3 1 3.3 2 6\ns2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21 -3.7 21 -11\nc0 -2 -2 -10.3 -6 -25c-20 -79.3 -65 -146.7 -135 -202l-3 -3h399890z\nM100 620v40h399900v-40z M0 241v40h399900v-40zM0 241v40h399900v-40z",rightarrowabovebar:"M0 241v40h399891c-47.3 35.3-84 78-110 128-16.7 32\n-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0\n13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39\n-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85-40.5\n-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n151.7 139 205zm96 379h399894v40H0zm0 0h399904v40H0z",baraboveshortleftharpoon:"M507,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17\nc2,0.7,5,1,9,1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21\nc-32,-87.3,-82.7,-157.7,-152,-211c0,0,-3,-3,-3,-3l399351,0l0,-40\nc-398570,0,-399437,0,-399437,0z M593 435 v40 H399500 v-40z\nM0 281 v-40 H399908 v40z M0 281 v-40 H399908 v40z",rightharpoonaboveshortbar:"M0,241 l0,40c399126,0,399993,0,399993,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM0 241 v40 H399908 v-40z M0 475 v-40 H399500 v40z M0 475 v-40 H399500 v40z",shortbaraboveleftharpoon:"M7,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17c2,0.7,5,1,9,\n1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21c-32,-87.3,-82.7,-157.7,\n-152,-211c0,0,-3,-3,-3,-3l399907,0l0,-40c-399126,0,-399993,0,-399993,0z\nM93 435 v40 H400000 v-40z M500 241 v40 H400000 v-40z M500 241 v40 H400000 v-40z",shortrightharpoonabovebar:"M53,241l0,40c398570,0,399437,0,399437,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM500 241 v40 H399408 v-40z M500 435 v40 H400000 v-40z"},A=function(){function t(t){this.children=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.maxFontSize=void 0,this.style=void 0,this.children=t,this.classes=[],this.height=0,this.depth=0,this.maxFontSize=0,this.style={}}var e=t.prototype;return e.hasClass=function(t){return c.contains(this.classes,t)},e.toNode=function(){for(var t=document.createDocumentFragment(),e=0;e<this.children.length;e++)t.appendChild(this.children[e].toNode());return t},e.toMarkup=function(){for(var t="",e=0;e<this.children.length;e++)t+=this.children[e].toMarkup();return t},e.toText=function(){var t=function(t){return t.toText()};return this.children.map(t).join("")},t}(),T=function(t){return t.filter(function(t){return t}).join(" ")},B=function(t,e,r){if(this.classes=t||[],this.attributes={},this.height=0,this.depth=0,this.maxFontSize=0,this.style=r||{},e){e.style.isTight()&&this.classes.push("mtight");var a=e.getColor();a&&(this.style.color=a)}},C=function(t){var e=document.createElement(t);for(var r in e.className=T(this.classes),this.style)this.style.hasOwnProperty(r)&&(e.style[r]=this.style[r]);for(var a in this.attributes)this.attributes.hasOwnProperty(a)&&e.setAttribute(a,this.attributes[a]);for(var n=0;n<this.children.length;n++)e.appendChild(this.children[n].toNode());return e},q=function(t){var e="<"+t;this.classes.length&&(e+=' class="'+c.escape(T(this.classes))+'"');var r="";for(var a in this.style)this.style.hasOwnProperty(a)&&(r+=c.hyphenate(a)+":"+this.style[a]+";");for(var n in r&&(e+=' style="'+c.escape(r)+'"'),this.attributes)this.attributes.hasOwnProperty(n)&&(e+=" "+n+'="'+c.escape(this.attributes[n])+'"');e+=">";for(var i=0;i<this.children.length;i++)e+=this.children[i].toMarkup();return e+="</"+t+">"},N=function(){function t(t,e,r,a){this.children=void 0,this.attributes=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.width=void 0,this.maxFontSize=void 0,this.style=void 0,B.call(this,t,r,a),this.children=e||[]}var e=t.prototype;return e.setAttribute=function(t,e){this.attributes[t]=e},e.hasClass=function(t){return c.contains(this.classes,t)},e.toNode=function(){return C.call(this,"span")},e.toMarkup=function(){return q.call(this,"span")},t}(),I=function(){function t(t,e,r,a){this.children=void 0,this.attributes=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.maxFontSize=void 0,this.style=void 0,B.call(this,e,a),this.children=r||[],this.setAttribute("href",t)}var e=t.prototype;return e.setAttribute=function(t,e){this.attributes[t]=e},e.hasClass=function(t){return c.contains(this.classes,t)},e.toNode=function(){return C.call(this,"a")},e.toMarkup=function(){return q.call(this,"a")},t}(),O=function(){function t(t,e,r){this.src=void 0,this.alt=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.maxFontSize=void 0,this.style=void 0,this.alt=e,this.src=t,this.classes=["mord"],this.style=r}var e=t.prototype;return e.hasClass=function(t){return c.contains(this.classes,t)},e.toNode=function(){var t=document.createElement("img");for(var e in t.src=this.src,t.alt=this.alt,t.className="mord",this.style)this.style.hasOwnProperty(e)&&(t.style[e]=this.style[e]);return t},e.toMarkup=function(){var t="<img  src='"+this.src+" 'alt='"+this.alt+"' ",e="";for(var r in this.style)this.style.hasOwnProperty(r)&&(e+=c.hyphenate(r)+":"+this.style[r]+";");return e&&(t+=' style="'+c.escape(e)+'"'),t+="'/>"},t}(),R={"\xee":"\u0131\u0302","\xef":"\u0131\u0308","\xed":"\u0131\u0301","\xec":"\u0131\u0300"},E=function(){function t(t,e,r,a,n,i,o,s){this.text=void 0,this.height=void 0,this.depth=void 0,this.italic=void 0,this.skew=void 0,this.width=void 0,this.maxFontSize=void 0,this.classes=void 0,this.style=void 0,this.text=t,this.height=e||0,this.depth=r||0,this.italic=a||0,this.skew=n||0,this.width=i||0,this.classes=o||[],this.style=s||{},this.maxFontSize=0;var l=function(t){for(var e=0;e<k.length;e++)for(var r=k[e],a=0;a<r.blocks.length;a++){var n=r.blocks[a];if(t>=n[0]&&t<=n[1])return r.name}return null}(this.text.charCodeAt(0));l&&this.classes.push(l+"_fallback"),/[\xee\xef\xed\xec]/.test(this.text)&&(this.text=R[this.text])}var e=t.prototype;return e.hasClass=function(t){return c.contains(this.classes,t)},e.toNode=function(){var t=document.createTextNode(this.text),e=null;for(var r in this.italic>0&&((e=document.createElement("span")).style.marginRight=this.italic+"em"),this.classes.length>0&&((e=e||document.createElement("span")).className=T(this.classes)),this.style)this.style.hasOwnProperty(r)&&((e=e||document.createElement("span")).style[r]=this.style[r]);return e?(e.appendChild(t),e):t},e.toMarkup=function(){var t=!1,e="<span";this.classes.length&&(t=!0,e+=' class="',e+=c.escape(T(this.classes)),e+='"');var r="";for(var a in this.italic>0&&(r+="margin-right:"+this.italic+"em;"),this.style)this.style.hasOwnProperty(a)&&(r+=c.hyphenate(a)+":"+this.style[a]+";");r&&(t=!0,e+=' style="'+c.escape(r)+'"');var n=c.escape(this.text);return t?(e+=">",e+=n,e+="</span>"):n},t}(),L=function(){function t(t,e){this.children=void 0,this.attributes=void 0,this.children=t||[],this.attributes=e||{}}var e=t.prototype;return e.toNode=function(){var t=document.createElementNS("http://www.w3.org/2000/svg","svg");for(var e in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,e)&&t.setAttribute(e,this.attributes[e]);for(var r=0;r<this.children.length;r++)t.appendChild(this.children[r].toNode());return t},e.toMarkup=function(){var t="<svg";for(var e in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,e)&&(t+=" "+e+"='"+this.attributes[e]+"'");t+=">";for(var r=0;r<this.children.length;r++)t+=this.children[r].toMarkup();return t+="</svg>"},t}(),P=function(){function t(t,e){this.pathName=void 0,this.alternate=void 0,this.pathName=t,this.alternate=e}var e=t.prototype;return e.toNode=function(){var t=document.createElementNS("http://www.w3.org/2000/svg","path");return this.alternate?t.setAttribute("d",this.alternate):t.setAttribute("d",z[this.pathName]),t},e.toMarkup=function(){return this.alternate?"<path d='"+this.alternate+"'/>":"<path d='"+z[this.pathName]+"'/>"},t}(),D=function(){function t(t){this.attributes=void 0,this.attributes=t||{}}var e=t.prototype;return e.toNode=function(){var t=document.createElementNS("http://www.w3.org/2000/svg","line");for(var e in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,e)&&t.setAttribute(e,this.attributes[e]);return t},e.toMarkup=function(){var t="<line";for(var e in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,e)&&(t+=" "+e+"='"+this.attributes[e]+"'");return t+="/>"},t}();function H(t){if(t instanceof E)return t;throw new Error("Expected symbolNode but got "+String(t)+".")}var F={"AMS-Regular":{32:[0,0,0,0,.25],65:[0,.68889,0,0,.72222],66:[0,.68889,0,0,.66667],67:[0,.68889,0,0,.72222],68:[0,.68889,0,0,.72222],69:[0,.68889,0,0,.66667],70:[0,.68889,0,0,.61111],71:[0,.68889,0,0,.77778],72:[0,.68889,0,0,.77778],73:[0,.68889,0,0,.38889],74:[.16667,.68889,0,0,.5],75:[0,.68889,0,0,.77778],76:[0,.68889,0,0,.66667],77:[0,.68889,0,0,.94445],78:[0,.68889,0,0,.72222],79:[.16667,.68889,0,0,.77778],80:[0,.68889,0,0,.61111],81:[.16667,.68889,0,0,.77778],82:[0,.68889,0,0,.72222],83:[0,.68889,0,0,.55556],84:[0,.68889,0,0,.66667],85:[0,.68889,0,0,.72222],86:[0,.68889,0,0,.72222],87:[0,.68889,0,0,1],88:[0,.68889,0,0,.72222],89:[0,.68889,0,0,.72222],90:[0,.68889,0,0,.66667],107:[0,.68889,0,0,.55556],160:[0,0,0,0,.25],165:[0,.675,.025,0,.75],174:[.15559,.69224,0,0,.94666],240:[0,.68889,0,0,.55556],295:[0,.68889,0,0,.54028],710:[0,.825,0,0,2.33334],732:[0,.9,0,0,2.33334],770:[0,.825,0,0,2.33334],771:[0,.9,0,0,2.33334],989:[.08167,.58167,0,0,.77778],1008:[0,.43056,.04028,0,.66667],8245:[0,.54986,0,0,.275],8463:[0,.68889,0,0,.54028],8487:[0,.68889,0,0,.72222],8498:[0,.68889,0,0,.55556],8502:[0,.68889,0,0,.66667],8503:[0,.68889,0,0,.44445],8504:[0,.68889,0,0,.66667],8513:[0,.68889,0,0,.63889],8592:[-.03598,.46402,0,0,.5],8594:[-.03598,.46402,0,0,.5],8602:[-.13313,.36687,0,0,1],8603:[-.13313,.36687,0,0,1],8606:[.01354,.52239,0,0,1],8608:[.01354,.52239,0,0,1],8610:[.01354,.52239,0,0,1.11111],8611:[.01354,.52239,0,0,1.11111],8619:[0,.54986,0,0,1],8620:[0,.54986,0,0,1],8621:[-.13313,.37788,0,0,1.38889],8622:[-.13313,.36687,0,0,1],8624:[0,.69224,0,0,.5],8625:[0,.69224,0,0,.5],8630:[0,.43056,0,0,1],8631:[0,.43056,0,0,1],8634:[.08198,.58198,0,0,.77778],8635:[.08198,.58198,0,0,.77778],8638:[.19444,.69224,0,0,.41667],8639:[.19444,.69224,0,0,.41667],8642:[.19444,.69224,0,0,.41667],8643:[.19444,.69224,0,0,.41667],8644:[.1808,.675,0,0,1],8646:[.1808,.675,0,0,1],8647:[.1808,.675,0,0,1],8648:[.19444,.69224,0,0,.83334],8649:[.1808,.675,0,0,1],8650:[.19444,.69224,0,0,.83334],8651:[.01354,.52239,0,0,1],8652:[.01354,.52239,0,0,1],8653:[-.13313,.36687,0,0,1],8654:[-.13313,.36687,0,0,1],8655:[-.13313,.36687,0,0,1],8666:[.13667,.63667,0,0,1],8667:[.13667,.63667,0,0,1],8669:[-.13313,.37788,0,0,1],8672:[-.064,.437,0,0,1.334],8674:[-.064,.437,0,0,1.334],8705:[0,.825,0,0,.5],8708:[0,.68889,0,0,.55556],8709:[.08167,.58167,0,0,.77778],8717:[0,.43056,0,0,.42917],8722:[-.03598,.46402,0,0,.5],8724:[.08198,.69224,0,0,.77778],8726:[.08167,.58167,0,0,.77778],8733:[0,.69224,0,0,.77778],8736:[0,.69224,0,0,.72222],8737:[0,.69224,0,0,.72222],8738:[.03517,.52239,0,0,.72222],8739:[.08167,.58167,0,0,.22222],8740:[.25142,.74111,0,0,.27778],8741:[.08167,.58167,0,0,.38889],8742:[.25142,.74111,0,0,.5],8756:[0,.69224,0,0,.66667],8757:[0,.69224,0,0,.66667],8764:[-.13313,.36687,0,0,.77778],8765:[-.13313,.37788,0,0,.77778],8769:[-.13313,.36687,0,0,.77778],8770:[-.03625,.46375,0,0,.77778],8774:[.30274,.79383,0,0,.77778],8776:[-.01688,.48312,0,0,.77778],8778:[.08167,.58167,0,0,.77778],8782:[.06062,.54986,0,0,.77778],8783:[.06062,.54986,0,0,.77778],8785:[.08198,.58198,0,0,.77778],8786:[.08198,.58198,0,0,.77778],8787:[.08198,.58198,0,0,.77778],8790:[0,.69224,0,0,.77778],8791:[.22958,.72958,0,0,.77778],8796:[.08198,.91667,0,0,.77778],8806:[.25583,.75583,0,0,.77778],8807:[.25583,.75583,0,0,.77778],8808:[.25142,.75726,0,0,.77778],8809:[.25142,.75726,0,0,.77778],8812:[.25583,.75583,0,0,.5],8814:[.20576,.70576,0,0,.77778],8815:[.20576,.70576,0,0,.77778],8816:[.30274,.79383,0,0,.77778],8817:[.30274,.79383,0,0,.77778],8818:[.22958,.72958,0,0,.77778],8819:[.22958,.72958,0,0,.77778],8822:[.1808,.675,0,0,.77778],8823:[.1808,.675,0,0,.77778],8828:[.13667,.63667,0,0,.77778],8829:[.13667,.63667,0,0,.77778],8830:[.22958,.72958,0,0,.77778],8831:[.22958,.72958,0,0,.77778],8832:[.20576,.70576,0,0,.77778],8833:[.20576,.70576,0,0,.77778],8840:[.30274,.79383,0,0,.77778],8841:[.30274,.79383,0,0,.77778],8842:[.13597,.63597,0,0,.77778],8843:[.13597,.63597,0,0,.77778],8847:[.03517,.54986,0,0,.77778],8848:[.03517,.54986,0,0,.77778],8858:[.08198,.58198,0,0,.77778],8859:[.08198,.58198,0,0,.77778],8861:[.08198,.58198,0,0,.77778],8862:[0,.675,0,0,.77778],8863:[0,.675,0,0,.77778],8864:[0,.675,0,0,.77778],8865:[0,.675,0,0,.77778],8872:[0,.69224,0,0,.61111],8873:[0,.69224,0,0,.72222],8874:[0,.69224,0,0,.88889],8876:[0,.68889,0,0,.61111],8877:[0,.68889,0,0,.61111],8878:[0,.68889,0,0,.72222],8879:[0,.68889,0,0,.72222],8882:[.03517,.54986,0,0,.77778],8883:[.03517,.54986,0,0,.77778],8884:[.13667,.63667,0,0,.77778],8885:[.13667,.63667,0,0,.77778],8888:[0,.54986,0,0,1.11111],8890:[.19444,.43056,0,0,.55556],8891:[.19444,.69224,0,0,.61111],8892:[.19444,.69224,0,0,.61111],8901:[0,.54986,0,0,.27778],8903:[.08167,.58167,0,0,.77778],8905:[.08167,.58167,0,0,.77778],8906:[.08167,.58167,0,0,.77778],8907:[0,.69224,0,0,.77778],8908:[0,.69224,0,0,.77778],8909:[-.03598,.46402,0,0,.77778],8910:[0,.54986,0,0,.76042],8911:[0,.54986,0,0,.76042],8912:[.03517,.54986,0,0,.77778],8913:[.03517,.54986,0,0,.77778],8914:[0,.54986,0,0,.66667],8915:[0,.54986,0,0,.66667],8916:[0,.69224,0,0,.66667],8918:[.0391,.5391,0,0,.77778],8919:[.0391,.5391,0,0,.77778],8920:[.03517,.54986,0,0,1.33334],8921:[.03517,.54986,0,0,1.33334],8922:[.38569,.88569,0,0,.77778],8923:[.38569,.88569,0,0,.77778],8926:[.13667,.63667,0,0,.77778],8927:[.13667,.63667,0,0,.77778],8928:[.30274,.79383,0,0,.77778],8929:[.30274,.79383,0,0,.77778],8934:[.23222,.74111,0,0,.77778],8935:[.23222,.74111,0,0,.77778],8936:[.23222,.74111,0,0,.77778],8937:[.23222,.74111,0,0,.77778],8938:[.20576,.70576,0,0,.77778],8939:[.20576,.70576,0,0,.77778],8940:[.30274,.79383,0,0,.77778],8941:[.30274,.79383,0,0,.77778],8994:[.19444,.69224,0,0,.77778],8995:[.19444,.69224,0,0,.77778],9416:[.15559,.69224,0,0,.90222],9484:[0,.69224,0,0,.5],9488:[0,.69224,0,0,.5],9492:[0,.37788,0,0,.5],9496:[0,.37788,0,0,.5],9585:[.19444,.68889,0,0,.88889],9586:[.19444,.74111,0,0,.88889],9632:[0,.675,0,0,.77778],9633:[0,.675,0,0,.77778],9650:[0,.54986,0,0,.72222],9651:[0,.54986,0,0,.72222],9654:[.03517,.54986,0,0,.77778],9660:[0,.54986,0,0,.72222],9661:[0,.54986,0,0,.72222],9664:[.03517,.54986,0,0,.77778],9674:[.11111,.69224,0,0,.66667],9733:[.19444,.69224,0,0,.94445],10003:[0,.69224,0,0,.83334],10016:[0,.69224,0,0,.83334],10731:[.11111,.69224,0,0,.66667],10846:[.19444,.75583,0,0,.61111],10877:[.13667,.63667,0,0,.77778],10878:[.13667,.63667,0,0,.77778],10885:[.25583,.75583,0,0,.77778],10886:[.25583,.75583,0,0,.77778],10887:[.13597,.63597,0,0,.77778],10888:[.13597,.63597,0,0,.77778],10889:[.26167,.75726,0,0,.77778],10890:[.26167,.75726,0,0,.77778],10891:[.48256,.98256,0,0,.77778],10892:[.48256,.98256,0,0,.77778],10901:[.13667,.63667,0,0,.77778],10902:[.13667,.63667,0,0,.77778],10933:[.25142,.75726,0,0,.77778],10934:[.25142,.75726,0,0,.77778],10935:[.26167,.75726,0,0,.77778],10936:[.26167,.75726,0,0,.77778],10937:[.26167,.75726,0,0,.77778],10938:[.26167,.75726,0,0,.77778],10949:[.25583,.75583,0,0,.77778],10950:[.25583,.75583,0,0,.77778],10955:[.28481,.79383,0,0,.77778],10956:[.28481,.79383,0,0,.77778],57350:[.08167,.58167,0,0,.22222],57351:[.08167,.58167,0,0,.38889],57352:[.08167,.58167,0,0,.77778],57353:[0,.43056,.04028,0,.66667],57356:[.25142,.75726,0,0,.77778],57357:[.25142,.75726,0,0,.77778],57358:[.41951,.91951,0,0,.77778],57359:[.30274,.79383,0,0,.77778],57360:[.30274,.79383,0,0,.77778],57361:[.41951,.91951,0,0,.77778],57366:[.25142,.75726,0,0,.77778],57367:[.25142,.75726,0,0,.77778],57368:[.25142,.75726,0,0,.77778],57369:[.25142,.75726,0,0,.77778],57370:[.13597,.63597,0,0,.77778],57371:[.13597,.63597,0,0,.77778]},"Caligraphic-Regular":{32:[0,0,0,0,.25],65:[0,.68333,0,.19445,.79847],66:[0,.68333,.03041,.13889,.65681],67:[0,.68333,.05834,.13889,.52653],68:[0,.68333,.02778,.08334,.77139],69:[0,.68333,.08944,.11111,.52778],70:[0,.68333,.09931,.11111,.71875],71:[.09722,.68333,.0593,.11111,.59487],72:[0,.68333,.00965,.11111,.84452],73:[0,.68333,.07382,0,.54452],74:[.09722,.68333,.18472,.16667,.67778],75:[0,.68333,.01445,.05556,.76195],76:[0,.68333,0,.13889,.68972],77:[0,.68333,0,.13889,1.2009],78:[0,.68333,.14736,.08334,.82049],79:[0,.68333,.02778,.11111,.79611],80:[0,.68333,.08222,.08334,.69556],81:[.09722,.68333,0,.11111,.81667],82:[0,.68333,0,.08334,.8475],83:[0,.68333,.075,.13889,.60556],84:[0,.68333,.25417,0,.54464],85:[0,.68333,.09931,.08334,.62583],86:[0,.68333,.08222,0,.61278],87:[0,.68333,.08222,.08334,.98778],88:[0,.68333,.14643,.13889,.7133],89:[.09722,.68333,.08222,.08334,.66834],90:[0,.68333,.07944,.13889,.72473],160:[0,0,0,0,.25]},"Fraktur-Regular":{32:[0,0,0,0,.25],33:[0,.69141,0,0,.29574],34:[0,.69141,0,0,.21471],38:[0,.69141,0,0,.73786],39:[0,.69141,0,0,.21201],40:[.24982,.74947,0,0,.38865],41:[.24982,.74947,0,0,.38865],42:[0,.62119,0,0,.27764],43:[.08319,.58283,0,0,.75623],44:[0,.10803,0,0,.27764],45:[.08319,.58283,0,0,.75623],46:[0,.10803,0,0,.27764],47:[.24982,.74947,0,0,.50181],48:[0,.47534,0,0,.50181],49:[0,.47534,0,0,.50181],50:[0,.47534,0,0,.50181],51:[.18906,.47534,0,0,.50181],52:[.18906,.47534,0,0,.50181],53:[.18906,.47534,0,0,.50181],54:[0,.69141,0,0,.50181],55:[.18906,.47534,0,0,.50181],56:[0,.69141,0,0,.50181],57:[.18906,.47534,0,0,.50181],58:[0,.47534,0,0,.21606],59:[.12604,.47534,0,0,.21606],61:[-.13099,.36866,0,0,.75623],63:[0,.69141,0,0,.36245],65:[0,.69141,0,0,.7176],66:[0,.69141,0,0,.88397],67:[0,.69141,0,0,.61254],68:[0,.69141,0,0,.83158],69:[0,.69141,0,0,.66278],70:[.12604,.69141,0,0,.61119],71:[0,.69141,0,0,.78539],72:[.06302,.69141,0,0,.7203],73:[0,.69141,0,0,.55448],74:[.12604,.69141,0,0,.55231],75:[0,.69141,0,0,.66845],76:[0,.69141,0,0,.66602],77:[0,.69141,0,0,1.04953],78:[0,.69141,0,0,.83212],79:[0,.69141,0,0,.82699],80:[.18906,.69141,0,0,.82753],81:[.03781,.69141,0,0,.82699],82:[0,.69141,0,0,.82807],83:[0,.69141,0,0,.82861],84:[0,.69141,0,0,.66899],85:[0,.69141,0,0,.64576],86:[0,.69141,0,0,.83131],87:[0,.69141,0,0,1.04602],88:[0,.69141,0,0,.71922],89:[.18906,.69141,0,0,.83293],90:[.12604,.69141,0,0,.60201],91:[.24982,.74947,0,0,.27764],93:[.24982,.74947,0,0,.27764],94:[0,.69141,0,0,.49965],97:[0,.47534,0,0,.50046],98:[0,.69141,0,0,.51315],99:[0,.47534,0,0,.38946],100:[0,.62119,0,0,.49857],101:[0,.47534,0,0,.40053],102:[.18906,.69141,0,0,.32626],103:[.18906,.47534,0,0,.5037],104:[.18906,.69141,0,0,.52126],105:[0,.69141,0,0,.27899],106:[0,.69141,0,0,.28088],107:[0,.69141,0,0,.38946],108:[0,.69141,0,0,.27953],109:[0,.47534,0,0,.76676],110:[0,.47534,0,0,.52666],111:[0,.47534,0,0,.48885],112:[.18906,.52396,0,0,.50046],113:[.18906,.47534,0,0,.48912],114:[0,.47534,0,0,.38919],115:[0,.47534,0,0,.44266],116:[0,.62119,0,0,.33301],117:[0,.47534,0,0,.5172],118:[0,.52396,0,0,.5118],119:[0,.52396,0,0,.77351],120:[.18906,.47534,0,0,.38865],121:[.18906,.47534,0,0,.49884],122:[.18906,.47534,0,0,.39054],160:[0,0,0,0,.25],8216:[0,.69141,0,0,.21471],8217:[0,.69141,0,0,.21471],58112:[0,.62119,0,0,.49749],58113:[0,.62119,0,0,.4983],58114:[.18906,.69141,0,0,.33328],58115:[.18906,.69141,0,0,.32923],58116:[.18906,.47534,0,0,.50343],58117:[0,.69141,0,0,.33301],58118:[0,.62119,0,0,.33409],58119:[0,.47534,0,0,.50073]},"Main-Bold":{32:[0,0,0,0,.25],33:[0,.69444,0,0,.35],34:[0,.69444,0,0,.60278],35:[.19444,.69444,0,0,.95833],36:[.05556,.75,0,0,.575],37:[.05556,.75,0,0,.95833],38:[0,.69444,0,0,.89444],39:[0,.69444,0,0,.31944],40:[.25,.75,0,0,.44722],41:[.25,.75,0,0,.44722],42:[0,.75,0,0,.575],43:[.13333,.63333,0,0,.89444],44:[.19444,.15556,0,0,.31944],45:[0,.44444,0,0,.38333],46:[0,.15556,0,0,.31944],47:[.25,.75,0,0,.575],48:[0,.64444,0,0,.575],49:[0,.64444,0,0,.575],50:[0,.64444,0,0,.575],51:[0,.64444,0,0,.575],52:[0,.64444,0,0,.575],53:[0,.64444,0,0,.575],54:[0,.64444,0,0,.575],55:[0,.64444,0,0,.575],56:[0,.64444,0,0,.575],57:[0,.64444,0,0,.575],58:[0,.44444,0,0,.31944],59:[.19444,.44444,0,0,.31944],60:[.08556,.58556,0,0,.89444],61:[-.10889,.39111,0,0,.89444],62:[.08556,.58556,0,0,.89444],63:[0,.69444,0,0,.54305],64:[0,.69444,0,0,.89444],65:[0,.68611,0,0,.86944],66:[0,.68611,0,0,.81805],67:[0,.68611,0,0,.83055],68:[0,.68611,0,0,.88194],69:[0,.68611,0,0,.75555],70:[0,.68611,0,0,.72361],71:[0,.68611,0,0,.90416],72:[0,.68611,0,0,.9],73:[0,.68611,0,0,.43611],74:[0,.68611,0,0,.59444],75:[0,.68611,0,0,.90138],76:[0,.68611,0,0,.69166],77:[0,.68611,0,0,1.09166],78:[0,.68611,0,0,.9],79:[0,.68611,0,0,.86388],80:[0,.68611,0,0,.78611],81:[.19444,.68611,0,0,.86388],82:[0,.68611,0,0,.8625],83:[0,.68611,0,0,.63889],84:[0,.68611,0,0,.8],85:[0,.68611,0,0,.88472],86:[0,.68611,.01597,0,.86944],87:[0,.68611,.01597,0,1.18888],88:[0,.68611,0,0,.86944],89:[0,.68611,.02875,0,.86944],90:[0,.68611,0,0,.70277],91:[.25,.75,0,0,.31944],92:[.25,.75,0,0,.575],93:[.25,.75,0,0,.31944],94:[0,.69444,0,0,.575],95:[.31,.13444,.03194,0,.575],97:[0,.44444,0,0,.55902],98:[0,.69444,0,0,.63889],99:[0,.44444,0,0,.51111],100:[0,.69444,0,0,.63889],101:[0,.44444,0,0,.52708],102:[0,.69444,.10903,0,.35139],103:[.19444,.44444,.01597,0,.575],104:[0,.69444,0,0,.63889],105:[0,.69444,0,0,.31944],106:[.19444,.69444,0,0,.35139],107:[0,.69444,0,0,.60694],108:[0,.69444,0,0,.31944],109:[0,.44444,0,0,.95833],110:[0,.44444,0,0,.63889],111:[0,.44444,0,0,.575],112:[.19444,.44444,0,0,.63889],113:[.19444,.44444,0,0,.60694],114:[0,.44444,0,0,.47361],115:[0,.44444,0,0,.45361],116:[0,.63492,0,0,.44722],117:[0,.44444,0,0,.63889],118:[0,.44444,.01597,0,.60694],119:[0,.44444,.01597,0,.83055],120:[0,.44444,0,0,.60694],121:[.19444,.44444,.01597,0,.60694],122:[0,.44444,0,0,.51111],123:[.25,.75,0,0,.575],124:[.25,.75,0,0,.31944],125:[.25,.75,0,0,.575],126:[.35,.34444,0,0,.575],160:[0,0,0,0,.25],163:[0,.69444,0,0,.86853],168:[0,.69444,0,0,.575],172:[0,.44444,0,0,.76666],176:[0,.69444,0,0,.86944],177:[.13333,.63333,0,0,.89444],184:[.17014,0,0,0,.51111],198:[0,.68611,0,0,1.04166],215:[.13333,.63333,0,0,.89444],216:[.04861,.73472,0,0,.89444],223:[0,.69444,0,0,.59722],230:[0,.44444,0,0,.83055],247:[.13333,.63333,0,0,.89444],248:[.09722,.54167,0,0,.575],305:[0,.44444,0,0,.31944],338:[0,.68611,0,0,1.16944],339:[0,.44444,0,0,.89444],567:[.19444,.44444,0,0,.35139],710:[0,.69444,0,0,.575],711:[0,.63194,0,0,.575],713:[0,.59611,0,0,.575],714:[0,.69444,0,0,.575],715:[0,.69444,0,0,.575],728:[0,.69444,0,0,.575],729:[0,.69444,0,0,.31944],730:[0,.69444,0,0,.86944],732:[0,.69444,0,0,.575],733:[0,.69444,0,0,.575],915:[0,.68611,0,0,.69166],916:[0,.68611,0,0,.95833],920:[0,.68611,0,0,.89444],923:[0,.68611,0,0,.80555],926:[0,.68611,0,0,.76666],928:[0,.68611,0,0,.9],931:[0,.68611,0,0,.83055],933:[0,.68611,0,0,.89444],934:[0,.68611,0,0,.83055],936:[0,.68611,0,0,.89444],937:[0,.68611,0,0,.83055],8211:[0,.44444,.03194,0,.575],8212:[0,.44444,.03194,0,1.14999],8216:[0,.69444,0,0,.31944],8217:[0,.69444,0,0,.31944],8220:[0,.69444,0,0,.60278],8221:[0,.69444,0,0,.60278],8224:[.19444,.69444,0,0,.51111],8225:[.19444,.69444,0,0,.51111],8242:[0,.55556,0,0,.34444],8407:[0,.72444,.15486,0,.575],8463:[0,.69444,0,0,.66759],8465:[0,.69444,0,0,.83055],8467:[0,.69444,0,0,.47361],8472:[.19444,.44444,0,0,.74027],8476:[0,.69444,0,0,.83055],8501:[0,.69444,0,0,.70277],8592:[-.10889,.39111,0,0,1.14999],8593:[.19444,.69444,0,0,.575],8594:[-.10889,.39111,0,0,1.14999],8595:[.19444,.69444,0,0,.575],8596:[-.10889,.39111,0,0,1.14999],8597:[.25,.75,0,0,.575],8598:[.19444,.69444,0,0,1.14999],8599:[.19444,.69444,0,0,1.14999],8600:[.19444,.69444,0,0,1.14999],8601:[.19444,.69444,0,0,1.14999],8636:[-.10889,.39111,0,0,1.14999],8637:[-.10889,.39111,0,0,1.14999],8640:[-.10889,.39111,0,0,1.14999],8641:[-.10889,.39111,0,0,1.14999],8656:[-.10889,.39111,0,0,1.14999],8657:[.19444,.69444,0,0,.70277],8658:[-.10889,.39111,0,0,1.14999],8659:[.19444,.69444,0,0,.70277],8660:[-.10889,.39111,0,0,1.14999],8661:[.25,.75,0,0,.70277],8704:[0,.69444,0,0,.63889],8706:[0,.69444,.06389,0,.62847],8707:[0,.69444,0,0,.63889],8709:[.05556,.75,0,0,.575],8711:[0,.68611,0,0,.95833],8712:[.08556,.58556,0,0,.76666],8715:[.08556,.58556,0,0,.76666],8722:[.13333,.63333,0,0,.89444],8723:[.13333,.63333,0,0,.89444],8725:[.25,.75,0,0,.575],8726:[.25,.75,0,0,.575],8727:[-.02778,.47222,0,0,.575],8728:[-.02639,.47361,0,0,.575],8729:[-.02639,.47361,0,0,.575],8730:[.18,.82,0,0,.95833],8733:[0,.44444,0,0,.89444],8734:[0,.44444,0,0,1.14999],8736:[0,.69224,0,0,.72222],8739:[.25,.75,0,0,.31944],8741:[.25,.75,0,0,.575],8743:[0,.55556,0,0,.76666],8744:[0,.55556,0,0,.76666],8745:[0,.55556,0,0,.76666],8746:[0,.55556,0,0,.76666],8747:[.19444,.69444,.12778,0,.56875],8764:[-.10889,.39111,0,0,.89444],8768:[.19444,.69444,0,0,.31944],8771:[.00222,.50222,0,0,.89444],8776:[.02444,.52444,0,0,.89444],8781:[.00222,.50222,0,0,.89444],8801:[.00222,.50222,0,0,.89444],8804:[.19667,.69667,0,0,.89444],8805:[.19667,.69667,0,0,.89444],8810:[.08556,.58556,0,0,1.14999],8811:[.08556,.58556,0,0,1.14999],8826:[.08556,.58556,0,0,.89444],8827:[.08556,.58556,0,0,.89444],8834:[.08556,.58556,0,0,.89444],8835:[.08556,.58556,0,0,.89444],8838:[.19667,.69667,0,0,.89444],8839:[.19667,.69667,0,0,.89444],8846:[0,.55556,0,0,.76666],8849:[.19667,.69667,0,0,.89444],8850:[.19667,.69667,0,0,.89444],8851:[0,.55556,0,0,.76666],8852:[0,.55556,0,0,.76666],8853:[.13333,.63333,0,0,.89444],8854:[.13333,.63333,0,0,.89444],8855:[.13333,.63333,0,0,.89444],8856:[.13333,.63333,0,0,.89444],8857:[.13333,.63333,0,0,.89444],8866:[0,.69444,0,0,.70277],8867:[0,.69444,0,0,.70277],8868:[0,.69444,0,0,.89444],8869:[0,.69444,0,0,.89444],8900:[-.02639,.47361,0,0,.575],8901:[-.02639,.47361,0,0,.31944],8902:[-.02778,.47222,0,0,.575],8968:[.25,.75,0,0,.51111],8969:[.25,.75,0,0,.51111],8970:[.25,.75,0,0,.51111],8971:[.25,.75,0,0,.51111],8994:[-.13889,.36111,0,0,1.14999],8995:[-.13889,.36111,0,0,1.14999],9651:[.19444,.69444,0,0,1.02222],9657:[-.02778,.47222,0,0,.575],9661:[.19444,.69444,0,0,1.02222],9667:[-.02778,.47222,0,0,.575],9711:[.19444,.69444,0,0,1.14999],9824:[.12963,.69444,0,0,.89444],9825:[.12963,.69444,0,0,.89444],9826:[.12963,.69444,0,0,.89444],9827:[.12963,.69444,0,0,.89444],9837:[0,.75,0,0,.44722],9838:[.19444,.69444,0,0,.44722],9839:[.19444,.69444,0,0,.44722],10216:[.25,.75,0,0,.44722],10217:[.25,.75,0,0,.44722],10815:[0,.68611,0,0,.9],10927:[.19667,.69667,0,0,.89444],10928:[.19667,.69667,0,0,.89444],57376:[.19444,.69444,0,0,0]},"Main-BoldItalic":{32:[0,0,0,0,.25],33:[0,.69444,.11417,0,.38611],34:[0,.69444,.07939,0,.62055],35:[.19444,.69444,.06833,0,.94444],37:[.05556,.75,.12861,0,.94444],38:[0,.69444,.08528,0,.88555],39:[0,.69444,.12945,0,.35555],40:[.25,.75,.15806,0,.47333],41:[.25,.75,.03306,0,.47333],42:[0,.75,.14333,0,.59111],43:[.10333,.60333,.03306,0,.88555],44:[.19444,.14722,0,0,.35555],45:[0,.44444,.02611,0,.41444],46:[0,.14722,0,0,.35555],47:[.25,.75,.15806,0,.59111],48:[0,.64444,.13167,0,.59111],49:[0,.64444,.13167,0,.59111],50:[0,.64444,.13167,0,.59111],51:[0,.64444,.13167,0,.59111],52:[.19444,.64444,.13167,0,.59111],53:[0,.64444,.13167,0,.59111],54:[0,.64444,.13167,0,.59111],55:[.19444,.64444,.13167,0,.59111],56:[0,.64444,.13167,0,.59111],57:[0,.64444,.13167,0,.59111],58:[0,.44444,.06695,0,.35555],59:[.19444,.44444,.06695,0,.35555],61:[-.10889,.39111,.06833,0,.88555],63:[0,.69444,.11472,0,.59111],64:[0,.69444,.09208,0,.88555],65:[0,.68611,0,0,.86555],66:[0,.68611,.0992,0,.81666],67:[0,.68611,.14208,0,.82666],68:[0,.68611,.09062,0,.87555],69:[0,.68611,.11431,0,.75666],70:[0,.68611,.12903,0,.72722],71:[0,.68611,.07347,0,.89527],72:[0,.68611,.17208,0,.8961],73:[0,.68611,.15681,0,.47166],74:[0,.68611,.145,0,.61055],75:[0,.68611,.14208,0,.89499],76:[0,.68611,0,0,.69777],77:[0,.68611,.17208,0,1.07277],78:[0,.68611,.17208,0,.8961],79:[0,.68611,.09062,0,.85499],80:[0,.68611,.0992,0,.78721],81:[.19444,.68611,.09062,0,.85499],82:[0,.68611,.02559,0,.85944],83:[0,.68611,.11264,0,.64999],84:[0,.68611,.12903,0,.7961],85:[0,.68611,.17208,0,.88083],86:[0,.68611,.18625,0,.86555],87:[0,.68611,.18625,0,1.15999],88:[0,.68611,.15681,0,.86555],89:[0,.68611,.19803,0,.86555],90:[0,.68611,.14208,0,.70888],91:[.25,.75,.1875,0,.35611],93:[.25,.75,.09972,0,.35611],94:[0,.69444,.06709,0,.59111],95:[.31,.13444,.09811,0,.59111],97:[0,.44444,.09426,0,.59111],98:[0,.69444,.07861,0,.53222],99:[0,.44444,.05222,0,.53222],100:[0,.69444,.10861,0,.59111],101:[0,.44444,.085,0,.53222],102:[.19444,.69444,.21778,0,.4],103:[.19444,.44444,.105,0,.53222],104:[0,.69444,.09426,0,.59111],105:[0,.69326,.11387,0,.35555],106:[.19444,.69326,.1672,0,.35555],107:[0,.69444,.11111,0,.53222],108:[0,.69444,.10861,0,.29666],109:[0,.44444,.09426,0,.94444],110:[0,.44444,.09426,0,.64999],111:[0,.44444,.07861,0,.59111],112:[.19444,.44444,.07861,0,.59111],113:[.19444,.44444,.105,0,.53222],114:[0,.44444,.11111,0,.50167],115:[0,.44444,.08167,0,.48694],116:[0,.63492,.09639,0,.385],117:[0,.44444,.09426,0,.62055],118:[0,.44444,.11111,0,.53222],119:[0,.44444,.11111,0,.76777],120:[0,.44444,.12583,0,.56055],121:[.19444,.44444,.105,0,.56166],122:[0,.44444,.13889,0,.49055],126:[.35,.34444,.11472,0,.59111],160:[0,0,0,0,.25],168:[0,.69444,.11473,0,.59111],176:[0,.69444,0,0,.94888],184:[.17014,0,0,0,.53222],198:[0,.68611,.11431,0,1.02277],216:[.04861,.73472,.09062,0,.88555],223:[.19444,.69444,.09736,0,.665],230:[0,.44444,.085,0,.82666],248:[.09722,.54167,.09458,0,.59111],305:[0,.44444,.09426,0,.35555],338:[0,.68611,.11431,0,1.14054],339:[0,.44444,.085,0,.82666],567:[.19444,.44444,.04611,0,.385],710:[0,.69444,.06709,0,.59111],711:[0,.63194,.08271,0,.59111],713:[0,.59444,.10444,0,.59111],714:[0,.69444,.08528,0,.59111],715:[0,.69444,0,0,.59111],728:[0,.69444,.10333,0,.59111],729:[0,.69444,.12945,0,.35555],730:[0,.69444,0,0,.94888],732:[0,.69444,.11472,0,.59111],733:[0,.69444,.11472,0,.59111],915:[0,.68611,.12903,0,.69777],916:[0,.68611,0,0,.94444],920:[0,.68611,.09062,0,.88555],923:[0,.68611,0,0,.80666],926:[0,.68611,.15092,0,.76777],928:[0,.68611,.17208,0,.8961],931:[0,.68611,.11431,0,.82666],933:[0,.68611,.10778,0,.88555],934:[0,.68611,.05632,0,.82666],936:[0,.68611,.10778,0,.88555],937:[0,.68611,.0992,0,.82666],8211:[0,.44444,.09811,0,.59111],8212:[0,.44444,.09811,0,1.18221],8216:[0,.69444,.12945,0,.35555],8217:[0,.69444,.12945,0,.35555],8220:[0,.69444,.16772,0,.62055],8221:[0,.69444,.07939,0,.62055]},"Main-Italic":{32:[0,0,0,0,.25],33:[0,.69444,.12417,0,.30667],34:[0,.69444,.06961,0,.51444],35:[.19444,.69444,.06616,0,.81777],37:[.05556,.75,.13639,0,.81777],38:[0,.69444,.09694,0,.76666],39:[0,.69444,.12417,0,.30667],40:[.25,.75,.16194,0,.40889],41:[.25,.75,.03694,0,.40889],42:[0,.75,.14917,0,.51111],43:[.05667,.56167,.03694,0,.76666],44:[.19444,.10556,0,0,.30667],45:[0,.43056,.02826,0,.35778],46:[0,.10556,0,0,.30667],47:[.25,.75,.16194,0,.51111],48:[0,.64444,.13556,0,.51111],49:[0,.64444,.13556,0,.51111],50:[0,.64444,.13556,0,.51111],51:[0,.64444,.13556,0,.51111],52:[.19444,.64444,.13556,0,.51111],53:[0,.64444,.13556,0,.51111],54:[0,.64444,.13556,0,.51111],55:[.19444,.64444,.13556,0,.51111],56:[0,.64444,.13556,0,.51111],57:[0,.64444,.13556,0,.51111],58:[0,.43056,.0582,0,.30667],59:[.19444,.43056,.0582,0,.30667],61:[-.13313,.36687,.06616,0,.76666],63:[0,.69444,.1225,0,.51111],64:[0,.69444,.09597,0,.76666],65:[0,.68333,0,0,.74333],66:[0,.68333,.10257,0,.70389],67:[0,.68333,.14528,0,.71555],68:[0,.68333,.09403,0,.755],69:[0,.68333,.12028,0,.67833],70:[0,.68333,.13305,0,.65277],71:[0,.68333,.08722,0,.77361],72:[0,.68333,.16389,0,.74333],73:[0,.68333,.15806,0,.38555],74:[0,.68333,.14028,0,.525],75:[0,.68333,.14528,0,.76888],76:[0,.68333,0,0,.62722],77:[0,.68333,.16389,0,.89666],78:[0,.68333,.16389,0,.74333],79:[0,.68333,.09403,0,.76666],80:[0,.68333,.10257,0,.67833],81:[.19444,.68333,.09403,0,.76666],82:[0,.68333,.03868,0,.72944],83:[0,.68333,.11972,0,.56222],84:[0,.68333,.13305,0,.71555],85:[0,.68333,.16389,0,.74333],86:[0,.68333,.18361,0,.74333],87:[0,.68333,.18361,0,.99888],88:[0,.68333,.15806,0,.74333],89:[0,.68333,.19383,0,.74333],90:[0,.68333,.14528,0,.61333],91:[.25,.75,.1875,0,.30667],93:[.25,.75,.10528,0,.30667],94:[0,.69444,.06646,0,.51111],95:[.31,.12056,.09208,0,.51111],97:[0,.43056,.07671,0,.51111],98:[0,.69444,.06312,0,.46],99:[0,.43056,.05653,0,.46],100:[0,.69444,.10333,0,.51111],101:[0,.43056,.07514,0,.46],102:[.19444,.69444,.21194,0,.30667],103:[.19444,.43056,.08847,0,.46],104:[0,.69444,.07671,0,.51111],105:[0,.65536,.1019,0,.30667],106:[.19444,.65536,.14467,0,.30667],107:[0,.69444,.10764,0,.46],108:[0,.69444,.10333,0,.25555],109:[0,.43056,.07671,0,.81777],110:[0,.43056,.07671,0,.56222],111:[0,.43056,.06312,0,.51111],112:[.19444,.43056,.06312,0,.51111],113:[.19444,.43056,.08847,0,.46],114:[0,.43056,.10764,0,.42166],115:[0,.43056,.08208,0,.40889],116:[0,.61508,.09486,0,.33222],117:[0,.43056,.07671,0,.53666],118:[0,.43056,.10764,0,.46],119:[0,.43056,.10764,0,.66444],120:[0,.43056,.12042,0,.46389],121:[.19444,.43056,.08847,0,.48555],122:[0,.43056,.12292,0,.40889],126:[.35,.31786,.11585,0,.51111],160:[0,0,0,0,.25],168:[0,.66786,.10474,0,.51111],176:[0,.69444,0,0,.83129],184:[.17014,0,0,0,.46],198:[0,.68333,.12028,0,.88277],216:[.04861,.73194,.09403,0,.76666],223:[.19444,.69444,.10514,0,.53666],230:[0,.43056,.07514,0,.71555],248:[.09722,.52778,.09194,0,.51111],338:[0,.68333,.12028,0,.98499],339:[0,.43056,.07514,0,.71555],710:[0,.69444,.06646,0,.51111],711:[0,.62847,.08295,0,.51111],713:[0,.56167,.10333,0,.51111],714:[0,.69444,.09694,0,.51111],715:[0,.69444,0,0,.51111],728:[0,.69444,.10806,0,.51111],729:[0,.66786,.11752,0,.30667],730:[0,.69444,0,0,.83129],732:[0,.66786,.11585,0,.51111],733:[0,.69444,.1225,0,.51111],915:[0,.68333,.13305,0,.62722],916:[0,.68333,0,0,.81777],920:[0,.68333,.09403,0,.76666],923:[0,.68333,0,0,.69222],926:[0,.68333,.15294,0,.66444],928:[0,.68333,.16389,0,.74333],931:[0,.68333,.12028,0,.71555],933:[0,.68333,.11111,0,.76666],934:[0,.68333,.05986,0,.71555],936:[0,.68333,.11111,0,.76666],937:[0,.68333,.10257,0,.71555],8211:[0,.43056,.09208,0,.51111],8212:[0,.43056,.09208,0,1.02222],8216:[0,.69444,.12417,0,.30667],8217:[0,.69444,.12417,0,.30667],8220:[0,.69444,.1685,0,.51444],8221:[0,.69444,.06961,0,.51444],8463:[0,.68889,0,0,.54028]},"Main-Regular":{32:[0,0,0,0,.25],33:[0,.69444,0,0,.27778],34:[0,.69444,0,0,.5],35:[.19444,.69444,0,0,.83334],36:[.05556,.75,0,0,.5],37:[.05556,.75,0,0,.83334],38:[0,.69444,0,0,.77778],39:[0,.69444,0,0,.27778],40:[.25,.75,0,0,.38889],41:[.25,.75,0,0,.38889],42:[0,.75,0,0,.5],43:[.08333,.58333,0,0,.77778],44:[.19444,.10556,0,0,.27778],45:[0,.43056,0,0,.33333],46:[0,.10556,0,0,.27778],47:[.25,.75,0,0,.5],48:[0,.64444,0,0,.5],49:[0,.64444,0,0,.5],50:[0,.64444,0,0,.5],51:[0,.64444,0,0,.5],52:[0,.64444,0,0,.5],53:[0,.64444,0,0,.5],54:[0,.64444,0,0,.5],55:[0,.64444,0,0,.5],56:[0,.64444,0,0,.5],57:[0,.64444,0,0,.5],58:[0,.43056,0,0,.27778],59:[.19444,.43056,0,0,.27778],60:[.0391,.5391,0,0,.77778],61:[-.13313,.36687,0,0,.77778],62:[.0391,.5391,0,0,.77778],63:[0,.69444,0,0,.47222],64:[0,.69444,0,0,.77778],65:[0,.68333,0,0,.75],66:[0,.68333,0,0,.70834],67:[0,.68333,0,0,.72222],68:[0,.68333,0,0,.76389],69:[0,.68333,0,0,.68056],70:[0,.68333,0,0,.65278],71:[0,.68333,0,0,.78472],72:[0,.68333,0,0,.75],73:[0,.68333,0,0,.36111],74:[0,.68333,0,0,.51389],75:[0,.68333,0,0,.77778],76:[0,.68333,0,0,.625],77:[0,.68333,0,0,.91667],78:[0,.68333,0,0,.75],79:[0,.68333,0,0,.77778],80:[0,.68333,0,0,.68056],81:[.19444,.68333,0,0,.77778],82:[0,.68333,0,0,.73611],83:[0,.68333,0,0,.55556],84:[0,.68333,0,0,.72222],85:[0,.68333,0,0,.75],86:[0,.68333,.01389,0,.75],87:[0,.68333,.01389,0,1.02778],88:[0,.68333,0,0,.75],89:[0,.68333,.025,0,.75],90:[0,.68333,0,0,.61111],91:[.25,.75,0,0,.27778],92:[.25,.75,0,0,.5],93:[.25,.75,0,0,.27778],94:[0,.69444,0,0,.5],95:[.31,.12056,.02778,0,.5],97:[0,.43056,0,0,.5],98:[0,.69444,0,0,.55556],99:[0,.43056,0,0,.44445],100:[0,.69444,0,0,.55556],101:[0,.43056,0,0,.44445],102:[0,.69444,.07778,0,.30556],103:[.19444,.43056,.01389,0,.5],104:[0,.69444,0,0,.55556],105:[0,.66786,0,0,.27778],106:[.19444,.66786,0,0,.30556],107:[0,.69444,0,0,.52778],108:[0,.69444,0,0,.27778],109:[0,.43056,0,0,.83334],110:[0,.43056,0,0,.55556],111:[0,.43056,0,0,.5],112:[.19444,.43056,0,0,.55556],113:[.19444,.43056,0,0,.52778],114:[0,.43056,0,0,.39167],115:[0,.43056,0,0,.39445],116:[0,.61508,0,0,.38889],117:[0,.43056,0,0,.55556],118:[0,.43056,.01389,0,.52778],119:[0,.43056,.01389,0,.72222],120:[0,.43056,0,0,.52778],121:[.19444,.43056,.01389,0,.52778],122:[0,.43056,0,0,.44445],123:[.25,.75,0,0,.5],124:[.25,.75,0,0,.27778],125:[.25,.75,0,0,.5],126:[.35,.31786,0,0,.5],160:[0,0,0,0,.25],163:[0,.69444,0,0,.76909],167:[.19444,.69444,0,0,.44445],168:[0,.66786,0,0,.5],172:[0,.43056,0,0,.66667],176:[0,.69444,0,0,.75],177:[.08333,.58333,0,0,.77778],182:[.19444,.69444,0,0,.61111],184:[.17014,0,0,0,.44445],198:[0,.68333,0,0,.90278],215:[.08333,.58333,0,0,.77778],216:[.04861,.73194,0,0,.77778],223:[0,.69444,0,0,.5],230:[0,.43056,0,0,.72222],247:[.08333,.58333,0,0,.77778],248:[.09722,.52778,0,0,.5],305:[0,.43056,0,0,.27778],338:[0,.68333,0,0,1.01389],339:[0,.43056,0,0,.77778],567:[.19444,.43056,0,0,.30556],710:[0,.69444,0,0,.5],711:[0,.62847,0,0,.5],713:[0,.56778,0,0,.5],714:[0,.69444,0,0,.5],715:[0,.69444,0,0,.5],728:[0,.69444,0,0,.5],729:[0,.66786,0,0,.27778],730:[0,.69444,0,0,.75],732:[0,.66786,0,0,.5],733:[0,.69444,0,0,.5],915:[0,.68333,0,0,.625],916:[0,.68333,0,0,.83334],920:[0,.68333,0,0,.77778],923:[0,.68333,0,0,.69445],926:[0,.68333,0,0,.66667],928:[0,.68333,0,0,.75],931:[0,.68333,0,0,.72222],933:[0,.68333,0,0,.77778],934:[0,.68333,0,0,.72222],936:[0,.68333,0,0,.77778],937:[0,.68333,0,0,.72222],8211:[0,.43056,.02778,0,.5],8212:[0,.43056,.02778,0,1],8216:[0,.69444,0,0,.27778],8217:[0,.69444,0,0,.27778],8220:[0,.69444,0,0,.5],8221:[0,.69444,0,0,.5],8224:[.19444,.69444,0,0,.44445],8225:[.19444,.69444,0,0,.44445],8230:[0,.12,0,0,1.172],8242:[0,.55556,0,0,.275],8407:[0,.71444,.15382,0,.5],8463:[0,.68889,0,0,.54028],8465:[0,.69444,0,0,.72222],8467:[0,.69444,0,.11111,.41667],8472:[.19444,.43056,0,.11111,.63646],8476:[0,.69444,0,0,.72222],8501:[0,.69444,0,0,.61111],8592:[-.13313,.36687,0,0,1],8593:[.19444,.69444,0,0,.5],8594:[-.13313,.36687,0,0,1],8595:[.19444,.69444,0,0,.5],8596:[-.13313,.36687,0,0,1],8597:[.25,.75,0,0,.5],8598:[.19444,.69444,0,0,1],8599:[.19444,.69444,0,0,1],8600:[.19444,.69444,0,0,1],8601:[.19444,.69444,0,0,1],8614:[.011,.511,0,0,1],8617:[.011,.511,0,0,1.126],8618:[.011,.511,0,0,1.126],8636:[-.13313,.36687,0,0,1],8637:[-.13313,.36687,0,0,1],8640:[-.13313,.36687,0,0,1],8641:[-.13313,.36687,0,0,1],8652:[.011,.671,0,0,1],8656:[-.13313,.36687,0,0,1],8657:[.19444,.69444,0,0,.61111],8658:[-.13313,.36687,0,0,1],8659:[.19444,.69444,0,0,.61111],8660:[-.13313,.36687,0,0,1],8661:[.25,.75,0,0,.61111],8704:[0,.69444,0,0,.55556],8706:[0,.69444,.05556,.08334,.5309],8707:[0,.69444,0,0,.55556],8709:[.05556,.75,0,0,.5],8711:[0,.68333,0,0,.83334],8712:[.0391,.5391,0,0,.66667],8715:[.0391,.5391,0,0,.66667],8722:[.08333,.58333,0,0,.77778],8723:[.08333,.58333,0,0,.77778],8725:[.25,.75,0,0,.5],8726:[.25,.75,0,0,.5],8727:[-.03472,.46528,0,0,.5],8728:[-.05555,.44445,0,0,.5],8729:[-.05555,.44445,0,0,.5],8730:[.2,.8,0,0,.83334],8733:[0,.43056,0,0,.77778],8734:[0,.43056,0,0,1],8736:[0,.69224,0,0,.72222],8739:[.25,.75,0,0,.27778],8741:[.25,.75,0,0,.5],8743:[0,.55556,0,0,.66667],8744:[0,.55556,0,0,.66667],8745:[0,.55556,0,0,.66667],8746:[0,.55556,0,0,.66667],8747:[.19444,.69444,.11111,0,.41667],8764:[-.13313,.36687,0,0,.77778],8768:[.19444,.69444,0,0,.27778],8771:[-.03625,.46375,0,0,.77778],8773:[-.022,.589,0,0,1],8776:[-.01688,.48312,0,0,.77778],8781:[-.03625,.46375,0,0,.77778],8784:[-.133,.67,0,0,.778],8801:[-.03625,.46375,0,0,.77778],8804:[.13597,.63597,0,0,.77778],8805:[.13597,.63597,0,0,.77778],8810:[.0391,.5391,0,0,1],8811:[.0391,.5391,0,0,1],8826:[.0391,.5391,0,0,.77778],8827:[.0391,.5391,0,0,.77778],8834:[.0391,.5391,0,0,.77778],8835:[.0391,.5391,0,0,.77778],8838:[.13597,.63597,0,0,.77778],8839:[.13597,.63597,0,0,.77778],8846:[0,.55556,0,0,.66667],8849:[.13597,.63597,0,0,.77778],8850:[.13597,.63597,0,0,.77778],8851:[0,.55556,0,0,.66667],8852:[0,.55556,0,0,.66667],8853:[.08333,.58333,0,0,.77778],8854:[.08333,.58333,0,0,.77778],8855:[.08333,.58333,0,0,.77778],8856:[.08333,.58333,0,0,.77778],8857:[.08333,.58333,0,0,.77778],8866:[0,.69444,0,0,.61111],8867:[0,.69444,0,0,.61111],8868:[0,.69444,0,0,.77778],8869:[0,.69444,0,0,.77778],8872:[.249,.75,0,0,.867],8900:[-.05555,.44445,0,0,.5],8901:[-.05555,.44445,0,0,.27778],8902:[-.03472,.46528,0,0,.5],8904:[.005,.505,0,0,.9],8942:[.03,.9,0,0,.278],8943:[-.19,.31,0,0,1.172],8945:[-.1,.82,0,0,1.282],8968:[.25,.75,0,0,.44445],8969:[.25,.75,0,0,.44445],8970:[.25,.75,0,0,.44445],8971:[.25,.75,0,0,.44445],8994:[-.14236,.35764,0,0,1],8995:[-.14236,.35764,0,0,1],9136:[.244,.744,0,0,.412],9137:[.244,.744,0,0,.412],9651:[.19444,.69444,0,0,.88889],9657:[-.03472,.46528,0,0,.5],9661:[.19444,.69444,0,0,.88889],9667:[-.03472,.46528,0,0,.5],9711:[.19444,.69444,0,0,1],9824:[.12963,.69444,0,0,.77778],9825:[.12963,.69444,0,0,.77778],9826:[.12963,.69444,0,0,.77778],9827:[.12963,.69444,0,0,.77778],9837:[0,.75,0,0,.38889],9838:[.19444,.69444,0,0,.38889],9839:[.19444,.69444,0,0,.38889],10216:[.25,.75,0,0,.38889],10217:[.25,.75,0,0,.38889],10222:[.244,.744,0,0,.412],10223:[.244,.744,0,0,.412],10229:[.011,.511,0,0,1.609],10230:[.011,.511,0,0,1.638],10231:[.011,.511,0,0,1.859],10232:[.024,.525,0,0,1.609],10233:[.024,.525,0,0,1.638],10234:[.024,.525,0,0,1.858],10236:[.011,.511,0,0,1.638],10815:[0,.68333,0,0,.75],10927:[.13597,.63597,0,0,.77778],10928:[.13597,.63597,0,0,.77778],57376:[.19444,.69444,0,0,0]},"Math-BoldItalic":{32:[0,0,0,0,.25],48:[0,.44444,0,0,.575],49:[0,.44444,0,0,.575],50:[0,.44444,0,0,.575],51:[.19444,.44444,0,0,.575],52:[.19444,.44444,0,0,.575],53:[.19444,.44444,0,0,.575],54:[0,.64444,0,0,.575],55:[.19444,.44444,0,0,.575],56:[0,.64444,0,0,.575],57:[.19444,.44444,0,0,.575],65:[0,.68611,0,0,.86944],66:[0,.68611,.04835,0,.8664],67:[0,.68611,.06979,0,.81694],68:[0,.68611,.03194,0,.93812],69:[0,.68611,.05451,0,.81007],70:[0,.68611,.15972,0,.68889],71:[0,.68611,0,0,.88673],72:[0,.68611,.08229,0,.98229],73:[0,.68611,.07778,0,.51111],74:[0,.68611,.10069,0,.63125],75:[0,.68611,.06979,0,.97118],76:[0,.68611,0,0,.75555],77:[0,.68611,.11424,0,1.14201],78:[0,.68611,.11424,0,.95034],79:[0,.68611,.03194,0,.83666],80:[0,.68611,.15972,0,.72309],81:[.19444,.68611,0,0,.86861],82:[0,.68611,.00421,0,.87235],83:[0,.68611,.05382,0,.69271],84:[0,.68611,.15972,0,.63663],85:[0,.68611,.11424,0,.80027],86:[0,.68611,.25555,0,.67778],87:[0,.68611,.15972,0,1.09305],88:[0,.68611,.07778,0,.94722],89:[0,.68611,.25555,0,.67458],90:[0,.68611,.06979,0,.77257],97:[0,.44444,0,0,.63287],98:[0,.69444,0,0,.52083],99:[0,.44444,0,0,.51342],100:[0,.69444,0,0,.60972],101:[0,.44444,0,0,.55361],102:[.19444,.69444,.11042,0,.56806],103:[.19444,.44444,.03704,0,.5449],104:[0,.69444,0,0,.66759],105:[0,.69326,0,0,.4048],106:[.19444,.69326,.0622,0,.47083],107:[0,.69444,.01852,0,.6037],108:[0,.69444,.0088,0,.34815],109:[0,.44444,0,0,1.0324],110:[0,.44444,0,0,.71296],111:[0,.44444,0,0,.58472],112:[.19444,.44444,0,0,.60092],113:[.19444,.44444,.03704,0,.54213],114:[0,.44444,.03194,0,.5287],115:[0,.44444,0,0,.53125],116:[0,.63492,0,0,.41528],117:[0,.44444,0,0,.68102],118:[0,.44444,.03704,0,.56666],119:[0,.44444,.02778,0,.83148],120:[0,.44444,0,0,.65903],121:[.19444,.44444,.03704,0,.59028],122:[0,.44444,.04213,0,.55509],160:[0,0,0,0,.25],915:[0,.68611,.15972,0,.65694],916:[0,.68611,0,0,.95833],920:[0,.68611,.03194,0,.86722],923:[0,.68611,0,0,.80555],926:[0,.68611,.07458,0,.84125],928:[0,.68611,.08229,0,.98229],931:[0,.68611,.05451,0,.88507],933:[0,.68611,.15972,0,.67083],934:[0,.68611,0,0,.76666],936:[0,.68611,.11653,0,.71402],937:[0,.68611,.04835,0,.8789],945:[0,.44444,0,0,.76064],946:[.19444,.69444,.03403,0,.65972],947:[.19444,.44444,.06389,0,.59003],948:[0,.69444,.03819,0,.52222],949:[0,.44444,0,0,.52882],950:[.19444,.69444,.06215,0,.50833],951:[.19444,.44444,.03704,0,.6],952:[0,.69444,.03194,0,.5618],953:[0,.44444,0,0,.41204],954:[0,.44444,0,0,.66759],955:[0,.69444,0,0,.67083],956:[.19444,.44444,0,0,.70787],957:[0,.44444,.06898,0,.57685],958:[.19444,.69444,.03021,0,.50833],959:[0,.44444,0,0,.58472],960:[0,.44444,.03704,0,.68241],961:[.19444,.44444,0,0,.6118],962:[.09722,.44444,.07917,0,.42361],963:[0,.44444,.03704,0,.68588],964:[0,.44444,.13472,0,.52083],965:[0,.44444,.03704,0,.63055],966:[.19444,.44444,0,0,.74722],967:[.19444,.44444,0,0,.71805],968:[.19444,.69444,.03704,0,.75833],969:[0,.44444,.03704,0,.71782],977:[0,.69444,0,0,.69155],981:[.19444,.69444,0,0,.7125],982:[0,.44444,.03194,0,.975],1009:[.19444,.44444,0,0,.6118],1013:[0,.44444,0,0,.48333],57649:[0,.44444,0,0,.39352],57911:[.19444,.44444,0,0,.43889]},"Math-Italic":{32:[0,0,0,0,.25],48:[0,.43056,0,0,.5],49:[0,.43056,0,0,.5],50:[0,.43056,0,0,.5],51:[.19444,.43056,0,0,.5],52:[.19444,.43056,0,0,.5],53:[.19444,.43056,0,0,.5],54:[0,.64444,0,0,.5],55:[.19444,.43056,0,0,.5],56:[0,.64444,0,0,.5],57:[.19444,.43056,0,0,.5],65:[0,.68333,0,.13889,.75],66:[0,.68333,.05017,.08334,.75851],67:[0,.68333,.07153,.08334,.71472],68:[0,.68333,.02778,.05556,.82792],69:[0,.68333,.05764,.08334,.7382],70:[0,.68333,.13889,.08334,.64306],71:[0,.68333,0,.08334,.78625],72:[0,.68333,.08125,.05556,.83125],73:[0,.68333,.07847,.11111,.43958],74:[0,.68333,.09618,.16667,.55451],75:[0,.68333,.07153,.05556,.84931],76:[0,.68333,0,.02778,.68056],77:[0,.68333,.10903,.08334,.97014],78:[0,.68333,.10903,.08334,.80347],79:[0,.68333,.02778,.08334,.76278],80:[0,.68333,.13889,.08334,.64201],81:[.19444,.68333,0,.08334,.79056],82:[0,.68333,.00773,.08334,.75929],83:[0,.68333,.05764,.08334,.6132],84:[0,.68333,.13889,.08334,.58438],85:[0,.68333,.10903,.02778,.68278],86:[0,.68333,.22222,0,.58333],87:[0,.68333,.13889,0,.94445],88:[0,.68333,.07847,.08334,.82847],89:[0,.68333,.22222,0,.58056],90:[0,.68333,.07153,.08334,.68264],97:[0,.43056,0,0,.52859],98:[0,.69444,0,0,.42917],99:[0,.43056,0,.05556,.43276],100:[0,.69444,0,.16667,.52049],101:[0,.43056,0,.05556,.46563],102:[.19444,.69444,.10764,.16667,.48959],103:[.19444,.43056,.03588,.02778,.47697],104:[0,.69444,0,0,.57616],105:[0,.65952,0,0,.34451],106:[.19444,.65952,.05724,0,.41181],107:[0,.69444,.03148,0,.5206],108:[0,.69444,.01968,.08334,.29838],109:[0,.43056,0,0,.87801],110:[0,.43056,0,0,.60023],111:[0,.43056,0,.05556,.48472],112:[.19444,.43056,0,.08334,.50313],113:[.19444,.43056,.03588,.08334,.44641],114:[0,.43056,.02778,.05556,.45116],115:[0,.43056,0,.05556,.46875],116:[0,.61508,0,.08334,.36111],117:[0,.43056,0,.02778,.57246],118:[0,.43056,.03588,.02778,.48472],119:[0,.43056,.02691,.08334,.71592],120:[0,.43056,0,.02778,.57153],121:[.19444,.43056,.03588,.05556,.49028],122:[0,.43056,.04398,.05556,.46505],160:[0,0,0,0,.25],915:[0,.68333,.13889,.08334,.61528],916:[0,.68333,0,.16667,.83334],920:[0,.68333,.02778,.08334,.76278],923:[0,.68333,0,.16667,.69445],926:[0,.68333,.07569,.08334,.74236],928:[0,.68333,.08125,.05556,.83125],931:[0,.68333,.05764,.08334,.77986],933:[0,.68333,.13889,.05556,.58333],934:[0,.68333,0,.08334,.66667],936:[0,.68333,.11,.05556,.61222],937:[0,.68333,.05017,.08334,.7724],945:[0,.43056,.0037,.02778,.6397],946:[.19444,.69444,.05278,.08334,.56563],947:[.19444,.43056,.05556,0,.51773],948:[0,.69444,.03785,.05556,.44444],949:[0,.43056,0,.08334,.46632],950:[.19444,.69444,.07378,.08334,.4375],951:[.19444,.43056,.03588,.05556,.49653],952:[0,.69444,.02778,.08334,.46944],953:[0,.43056,0,.05556,.35394],954:[0,.43056,0,0,.57616],955:[0,.69444,0,0,.58334],956:[.19444,.43056,0,.02778,.60255],957:[0,.43056,.06366,.02778,.49398],958:[.19444,.69444,.04601,.11111,.4375],959:[0,.43056,0,.05556,.48472],960:[0,.43056,.03588,0,.57003],961:[.19444,.43056,0,.08334,.51702],962:[.09722,.43056,.07986,.08334,.36285],963:[0,.43056,.03588,0,.57141],964:[0,.43056,.1132,.02778,.43715],965:[0,.43056,.03588,.02778,.54028],966:[.19444,.43056,0,.08334,.65417],967:[.19444,.43056,0,.05556,.62569],968:[.19444,.69444,.03588,.11111,.65139],969:[0,.43056,.03588,0,.62245],977:[0,.69444,0,.08334,.59144],981:[.19444,.69444,0,.08334,.59583],982:[0,.43056,.02778,0,.82813],1009:[.19444,.43056,0,.08334,.51702],1013:[0,.43056,0,.05556,.4059],57649:[0,.43056,0,.02778,.32246],57911:[.19444,.43056,0,.08334,.38403]},"SansSerif-Bold":{32:[0,0,0,0,.25],33:[0,.69444,0,0,.36667],34:[0,.69444,0,0,.55834],35:[.19444,.69444,0,0,.91667],36:[.05556,.75,0,0,.55],37:[.05556,.75,0,0,1.02912],38:[0,.69444,0,0,.83056],39:[0,.69444,0,0,.30556],40:[.25,.75,0,0,.42778],41:[.25,.75,0,0,.42778],42:[0,.75,0,0,.55],43:[.11667,.61667,0,0,.85556],44:[.10556,.13056,0,0,.30556],45:[0,.45833,0,0,.36667],46:[0,.13056,0,0,.30556],47:[.25,.75,0,0,.55],48:[0,.69444,0,0,.55],49:[0,.69444,0,0,.55],50:[0,.69444,0,0,.55],51:[0,.69444,0,0,.55],52:[0,.69444,0,0,.55],53:[0,.69444,0,0,.55],54:[0,.69444,0,0,.55],55:[0,.69444,0,0,.55],56:[0,.69444,0,0,.55],57:[0,.69444,0,0,.55],58:[0,.45833,0,0,.30556],59:[.10556,.45833,0,0,.30556],61:[-.09375,.40625,0,0,.85556],63:[0,.69444,0,0,.51945],64:[0,.69444,0,0,.73334],65:[0,.69444,0,0,.73334],66:[0,.69444,0,0,.73334],67:[0,.69444,0,0,.70278],68:[0,.69444,0,0,.79445],69:[0,.69444,0,0,.64167],70:[0,.69444,0,0,.61111],71:[0,.69444,0,0,.73334],72:[0,.69444,0,0,.79445],73:[0,.69444,0,0,.33056],74:[0,.69444,0,0,.51945],75:[0,.69444,0,0,.76389],76:[0,.69444,0,0,.58056],77:[0,.69444,0,0,.97778],78:[0,.69444,0,0,.79445],79:[0,.69444,0,0,.79445],80:[0,.69444,0,0,.70278],81:[.10556,.69444,0,0,.79445],82:[0,.69444,0,0,.70278],83:[0,.69444,0,0,.61111],84:[0,.69444,0,0,.73334],85:[0,.69444,0,0,.76389],86:[0,.69444,.01528,0,.73334],87:[0,.69444,.01528,0,1.03889],88:[0,.69444,0,0,.73334],89:[0,.69444,.0275,0,.73334],90:[0,.69444,0,0,.67223],91:[.25,.75,0,0,.34306],93:[.25,.75,0,0,.34306],94:[0,.69444,0,0,.55],95:[.35,.10833,.03056,0,.55],97:[0,.45833,0,0,.525],98:[0,.69444,0,0,.56111],99:[0,.45833,0,0,.48889],100:[0,.69444,0,0,.56111],101:[0,.45833,0,0,.51111],102:[0,.69444,.07639,0,.33611],103:[.19444,.45833,.01528,0,.55],104:[0,.69444,0,0,.56111],105:[0,.69444,0,0,.25556],106:[.19444,.69444,0,0,.28611],107:[0,.69444,0,0,.53056],108:[0,.69444,0,0,.25556],109:[0,.45833,0,0,.86667],110:[0,.45833,0,0,.56111],111:[0,.45833,0,0,.55],112:[.19444,.45833,0,0,.56111],113:[.19444,.45833,0,0,.56111],114:[0,.45833,.01528,0,.37222],115:[0,.45833,0,0,.42167],116:[0,.58929,0,0,.40417],117:[0,.45833,0,0,.56111],118:[0,.45833,.01528,0,.5],119:[0,.45833,.01528,0,.74445],120:[0,.45833,0,0,.5],121:[.19444,.45833,.01528,0,.5],122:[0,.45833,0,0,.47639],126:[.35,.34444,0,0,.55],160:[0,0,0,0,.25],168:[0,.69444,0,0,.55],176:[0,.69444,0,0,.73334],180:[0,.69444,0,0,.55],184:[.17014,0,0,0,.48889],305:[0,.45833,0,0,.25556],567:[.19444,.45833,0,0,.28611],710:[0,.69444,0,0,.55],711:[0,.63542,0,0,.55],713:[0,.63778,0,0,.55],728:[0,.69444,0,0,.55],729:[0,.69444,0,0,.30556],730:[0,.69444,0,0,.73334],732:[0,.69444,0,0,.55],733:[0,.69444,0,0,.55],915:[0,.69444,0,0,.58056],916:[0,.69444,0,0,.91667],920:[0,.69444,0,0,.85556],923:[0,.69444,0,0,.67223],926:[0,.69444,0,0,.73334],928:[0,.69444,0,0,.79445],931:[0,.69444,0,0,.79445],933:[0,.69444,0,0,.85556],934:[0,.69444,0,0,.79445],936:[0,.69444,0,0,.85556],937:[0,.69444,0,0,.79445],8211:[0,.45833,.03056,0,.55],8212:[0,.45833,.03056,0,1.10001],8216:[0,.69444,0,0,.30556],8217:[0,.69444,0,0,.30556],8220:[0,.69444,0,0,.55834],8221:[0,.69444,0,0,.55834]},"SansSerif-Italic":{32:[0,0,0,0,.25],33:[0,.69444,.05733,0,.31945],34:[0,.69444,.00316,0,.5],35:[.19444,.69444,.05087,0,.83334],36:[.05556,.75,.11156,0,.5],37:[.05556,.75,.03126,0,.83334],38:[0,.69444,.03058,0,.75834],39:[0,.69444,.07816,0,.27778],40:[.25,.75,.13164,0,.38889],41:[.25,.75,.02536,0,.38889],42:[0,.75,.11775,0,.5],43:[.08333,.58333,.02536,0,.77778],44:[.125,.08333,0,0,.27778],45:[0,.44444,.01946,0,.33333],46:[0,.08333,0,0,.27778],47:[.25,.75,.13164,0,.5],48:[0,.65556,.11156,0,.5],49:[0,.65556,.11156,0,.5],50:[0,.65556,.11156,0,.5],51:[0,.65556,.11156,0,.5],52:[0,.65556,.11156,0,.5],53:[0,.65556,.11156,0,.5],54:[0,.65556,.11156,0,.5],55:[0,.65556,.11156,0,.5],56:[0,.65556,.11156,0,.5],57:[0,.65556,.11156,0,.5],58:[0,.44444,.02502,0,.27778],59:[.125,.44444,.02502,0,.27778],61:[-.13,.37,.05087,0,.77778],63:[0,.69444,.11809,0,.47222],64:[0,.69444,.07555,0,.66667],65:[0,.69444,0,0,.66667],66:[0,.69444,.08293,0,.66667],67:[0,.69444,.11983,0,.63889],68:[0,.69444,.07555,0,.72223],69:[0,.69444,.11983,0,.59722],70:[0,.69444,.13372,0,.56945],71:[0,.69444,.11983,0,.66667],72:[0,.69444,.08094,0,.70834],73:[0,.69444,.13372,0,.27778],74:[0,.69444,.08094,0,.47222],75:[0,.69444,.11983,0,.69445],76:[0,.69444,0,0,.54167],77:[0,.69444,.08094,0,.875],78:[0,.69444,.08094,0,.70834],79:[0,.69444,.07555,0,.73611],80:[0,.69444,.08293,0,.63889],81:[.125,.69444,.07555,0,.73611],82:[0,.69444,.08293,0,.64584],83:[0,.69444,.09205,0,.55556],84:[0,.69444,.13372,0,.68056],85:[0,.69444,.08094,0,.6875],86:[0,.69444,.1615,0,.66667],87:[0,.69444,.1615,0,.94445],88:[0,.69444,.13372,0,.66667],89:[0,.69444,.17261,0,.66667],90:[0,.69444,.11983,0,.61111],91:[.25,.75,.15942,0,.28889],93:[.25,.75,.08719,0,.28889],94:[0,.69444,.0799,0,.5],95:[.35,.09444,.08616,0,.5],97:[0,.44444,.00981,0,.48056],98:[0,.69444,.03057,0,.51667],99:[0,.44444,.08336,0,.44445],100:[0,.69444,.09483,0,.51667],101:[0,.44444,.06778,0,.44445],102:[0,.69444,.21705,0,.30556],103:[.19444,.44444,.10836,0,.5],104:[0,.69444,.01778,0,.51667],105:[0,.67937,.09718,0,.23889],106:[.19444,.67937,.09162,0,.26667],107:[0,.69444,.08336,0,.48889],108:[0,.69444,.09483,0,.23889],109:[0,.44444,.01778,0,.79445],110:[0,.44444,.01778,0,.51667],111:[0,.44444,.06613,0,.5],112:[.19444,.44444,.0389,0,.51667],113:[.19444,.44444,.04169,0,.51667],114:[0,.44444,.10836,0,.34167],115:[0,.44444,.0778,0,.38333],116:[0,.57143,.07225,0,.36111],117:[0,.44444,.04169,0,.51667],118:[0,.44444,.10836,0,.46111],119:[0,.44444,.10836,0,.68334],120:[0,.44444,.09169,0,.46111],121:[.19444,.44444,.10836,0,.46111],122:[0,.44444,.08752,0,.43472],126:[.35,.32659,.08826,0,.5],160:[0,0,0,0,.25],168:[0,.67937,.06385,0,.5],176:[0,.69444,0,0,.73752],184:[.17014,0,0,0,.44445],305:[0,.44444,.04169,0,.23889],567:[.19444,.44444,.04169,0,.26667],710:[0,.69444,.0799,0,.5],711:[0,.63194,.08432,0,.5],713:[0,.60889,.08776,0,.5],714:[0,.69444,.09205,0,.5],715:[0,.69444,0,0,.5],728:[0,.69444,.09483,0,.5],729:[0,.67937,.07774,0,.27778],730:[0,.69444,0,0,.73752],732:[0,.67659,.08826,0,.5],733:[0,.69444,.09205,0,.5],915:[0,.69444,.13372,0,.54167],916:[0,.69444,0,0,.83334],920:[0,.69444,.07555,0,.77778],923:[0,.69444,0,0,.61111],926:[0,.69444,.12816,0,.66667],928:[0,.69444,.08094,0,.70834],931:[0,.69444,.11983,0,.72222],933:[0,.69444,.09031,0,.77778],934:[0,.69444,.04603,0,.72222],936:[0,.69444,.09031,0,.77778],937:[0,.69444,.08293,0,.72222],8211:[0,.44444,.08616,0,.5],8212:[0,.44444,.08616,0,1],8216:[0,.69444,.07816,0,.27778],8217:[0,.69444,.07816,0,.27778],8220:[0,.69444,.14205,0,.5],8221:[0,.69444,.00316,0,.5]},"SansSerif-Regular":{32:[0,0,0,0,.25],33:[0,.69444,0,0,.31945],34:[0,.69444,0,0,.5],35:[.19444,.69444,0,0,.83334],36:[.05556,.75,0,0,.5],37:[.05556,.75,0,0,.83334],38:[0,.69444,0,0,.75834],39:[0,.69444,0,0,.27778],40:[.25,.75,0,0,.38889],41:[.25,.75,0,0,.38889],42:[0,.75,0,0,.5],43:[.08333,.58333,0,0,.77778],44:[.125,.08333,0,0,.27778],45:[0,.44444,0,0,.33333],46:[0,.08333,0,0,.27778],47:[.25,.75,0,0,.5],48:[0,.65556,0,0,.5],49:[0,.65556,0,0,.5],50:[0,.65556,0,0,.5],51:[0,.65556,0,0,.5],52:[0,.65556,0,0,.5],53:[0,.65556,0,0,.5],54:[0,.65556,0,0,.5],55:[0,.65556,0,0,.5],56:[0,.65556,0,0,.5],57:[0,.65556,0,0,.5],58:[0,.44444,0,0,.27778],59:[.125,.44444,0,0,.27778],61:[-.13,.37,0,0,.77778],63:[0,.69444,0,0,.47222],64:[0,.69444,0,0,.66667],65:[0,.69444,0,0,.66667],66:[0,.69444,0,0,.66667],67:[0,.69444,0,0,.63889],68:[0,.69444,0,0,.72223],69:[0,.69444,0,0,.59722],70:[0,.69444,0,0,.56945],71:[0,.69444,0,0,.66667],72:[0,.69444,0,0,.70834],73:[0,.69444,0,0,.27778],74:[0,.69444,0,0,.47222],75:[0,.69444,0,0,.69445],76:[0,.69444,0,0,.54167],77:[0,.69444,0,0,.875],78:[0,.69444,0,0,.70834],79:[0,.69444,0,0,.73611],80:[0,.69444,0,0,.63889],81:[.125,.69444,0,0,.73611],82:[0,.69444,0,0,.64584],83:[0,.69444,0,0,.55556],84:[0,.69444,0,0,.68056],85:[0,.69444,0,0,.6875],86:[0,.69444,.01389,0,.66667],87:[0,.69444,.01389,0,.94445],88:[0,.69444,0,0,.66667],89:[0,.69444,.025,0,.66667],90:[0,.69444,0,0,.61111],91:[.25,.75,0,0,.28889],93:[.25,.75,0,0,.28889],94:[0,.69444,0,0,.5],95:[.35,.09444,.02778,0,.5],97:[0,.44444,0,0,.48056],98:[0,.69444,0,0,.51667],99:[0,.44444,0,0,.44445],100:[0,.69444,0,0,.51667],101:[0,.44444,0,0,.44445],102:[0,.69444,.06944,0,.30556],103:[.19444,.44444,.01389,0,.5],104:[0,.69444,0,0,.51667],105:[0,.67937,0,0,.23889],106:[.19444,.67937,0,0,.26667],107:[0,.69444,0,0,.48889],108:[0,.69444,0,0,.23889],109:[0,.44444,0,0,.79445],110:[0,.44444,0,0,.51667],111:[0,.44444,0,0,.5],112:[.19444,.44444,0,0,.51667],113:[.19444,.44444,0,0,.51667],114:[0,.44444,.01389,0,.34167],115:[0,.44444,0,0,.38333],116:[0,.57143,0,0,.36111],117:[0,.44444,0,0,.51667],118:[0,.44444,.01389,0,.46111],119:[0,.44444,.01389,0,.68334],120:[0,.44444,0,0,.46111],121:[.19444,.44444,.01389,0,.46111],122:[0,.44444,0,0,.43472],126:[.35,.32659,0,0,.5],160:[0,0,0,0,.25],168:[0,.67937,0,0,.5],176:[0,.69444,0,0,.66667],184:[.17014,0,0,0,.44445],305:[0,.44444,0,0,.23889],567:[.19444,.44444,0,0,.26667],710:[0,.69444,0,0,.5],711:[0,.63194,0,0,.5],713:[0,.60889,0,0,.5],714:[0,.69444,0,0,.5],715:[0,.69444,0,0,.5],728:[0,.69444,0,0,.5],729:[0,.67937,0,0,.27778],730:[0,.69444,0,0,.66667],732:[0,.67659,0,0,.5],733:[0,.69444,0,0,.5],915:[0,.69444,0,0,.54167],916:[0,.69444,0,0,.83334],920:[0,.69444,0,0,.77778],923:[0,.69444,0,0,.61111],926:[0,.69444,0,0,.66667],928:[0,.69444,0,0,.70834],931:[0,.69444,0,0,.72222],933:[0,.69444,0,0,.77778],934:[0,.69444,0,0,.72222],936:[0,.69444,0,0,.77778],937:[0,.69444,0,0,.72222],8211:[0,.44444,.02778,0,.5],8212:[0,.44444,.02778,0,1],8216:[0,.69444,0,0,.27778],8217:[0,.69444,0,0,.27778],8220:[0,.69444,0,0,.5],8221:[0,.69444,0,0,.5]},"Script-Regular":{32:[0,0,0,0,.25],65:[0,.7,.22925,0,.80253],66:[0,.7,.04087,0,.90757],67:[0,.7,.1689,0,.66619],68:[0,.7,.09371,0,.77443],69:[0,.7,.18583,0,.56162],70:[0,.7,.13634,0,.89544],71:[0,.7,.17322,0,.60961],72:[0,.7,.29694,0,.96919],73:[0,.7,.19189,0,.80907],74:[.27778,.7,.19189,0,1.05159],75:[0,.7,.31259,0,.91364],76:[0,.7,.19189,0,.87373],77:[0,.7,.15981,0,1.08031],78:[0,.7,.3525,0,.9015],79:[0,.7,.08078,0,.73787],80:[0,.7,.08078,0,1.01262],81:[0,.7,.03305,0,.88282],82:[0,.7,.06259,0,.85],83:[0,.7,.19189,0,.86767],84:[0,.7,.29087,0,.74697],85:[0,.7,.25815,0,.79996],86:[0,.7,.27523,0,.62204],87:[0,.7,.27523,0,.80532],88:[0,.7,.26006,0,.94445],89:[0,.7,.2939,0,.70961],90:[0,.7,.24037,0,.8212],160:[0,0,0,0,.25]},"Size1-Regular":{32:[0,0,0,0,.25],40:[.35001,.85,0,0,.45834],41:[.35001,.85,0,0,.45834],47:[.35001,.85,0,0,.57778],91:[.35001,.85,0,0,.41667],92:[.35001,.85,0,0,.57778],93:[.35001,.85,0,0,.41667],123:[.35001,.85,0,0,.58334],125:[.35001,.85,0,0,.58334],160:[0,0,0,0,.25],710:[0,.72222,0,0,.55556],732:[0,.72222,0,0,.55556],770:[0,.72222,0,0,.55556],771:[0,.72222,0,0,.55556],8214:[-99e-5,.601,0,0,.77778],8593:[1e-5,.6,0,0,.66667],8595:[1e-5,.6,0,0,.66667],8657:[1e-5,.6,0,0,.77778],8659:[1e-5,.6,0,0,.77778],8719:[.25001,.75,0,0,.94445],8720:[.25001,.75,0,0,.94445],8721:[.25001,.75,0,0,1.05556],8730:[.35001,.85,0,0,1],8739:[-.00599,.606,0,0,.33333],8741:[-.00599,.606,0,0,.55556],8747:[.30612,.805,.19445,0,.47222],8748:[.306,.805,.19445,0,.47222],8749:[.306,.805,.19445,0,.47222],8750:[.30612,.805,.19445,0,.47222],8896:[.25001,.75,0,0,.83334],8897:[.25001,.75,0,0,.83334],8898:[.25001,.75,0,0,.83334],8899:[.25001,.75,0,0,.83334],8968:[.35001,.85,0,0,.47222],8969:[.35001,.85,0,0,.47222],8970:[.35001,.85,0,0,.47222],8971:[.35001,.85,0,0,.47222],9168:[-99e-5,.601,0,0,.66667],10216:[.35001,.85,0,0,.47222],10217:[.35001,.85,0,0,.47222],10752:[.25001,.75,0,0,1.11111],10753:[.25001,.75,0,0,1.11111],10754:[.25001,.75,0,0,1.11111],10756:[.25001,.75,0,0,.83334],10758:[.25001,.75,0,0,.83334]},"Size2-Regular":{32:[0,0,0,0,.25],40:[.65002,1.15,0,0,.59722],41:[.65002,1.15,0,0,.59722],47:[.65002,1.15,0,0,.81111],91:[.65002,1.15,0,0,.47222],92:[.65002,1.15,0,0,.81111],93:[.65002,1.15,0,0,.47222],123:[.65002,1.15,0,0,.66667],125:[.65002,1.15,0,0,.66667],160:[0,0,0,0,.25],710:[0,.75,0,0,1],732:[0,.75,0,0,1],770:[0,.75,0,0,1],771:[0,.75,0,0,1],8719:[.55001,1.05,0,0,1.27778],8720:[.55001,1.05,0,0,1.27778],8721:[.55001,1.05,0,0,1.44445],8730:[.65002,1.15,0,0,1],8747:[.86225,1.36,.44445,0,.55556],8748:[.862,1.36,.44445,0,.55556],8749:[.862,1.36,.44445,0,.55556],8750:[.86225,1.36,.44445,0,.55556],8896:[.55001,1.05,0,0,1.11111],8897:[.55001,1.05,0,0,1.11111],8898:[.55001,1.05,0,0,1.11111],8899:[.55001,1.05,0,0,1.11111],8968:[.65002,1.15,0,0,.52778],8969:[.65002,1.15,0,0,.52778],8970:[.65002,1.15,0,0,.52778],8971:[.65002,1.15,0,0,.52778],10216:[.65002,1.15,0,0,.61111],10217:[.65002,1.15,0,0,.61111],10752:[.55001,1.05,0,0,1.51112],10753:[.55001,1.05,0,0,1.51112],10754:[.55001,1.05,0,0,1.51112],10756:[.55001,1.05,0,0,1.11111],10758:[.55001,1.05,0,0,1.11111]},"Size3-Regular":{32:[0,0,0,0,.25],40:[.95003,1.45,0,0,.73611],41:[.95003,1.45,0,0,.73611],47:[.95003,1.45,0,0,1.04445],91:[.95003,1.45,0,0,.52778],92:[.95003,1.45,0,0,1.04445],93:[.95003,1.45,0,0,.52778],123:[.95003,1.45,0,0,.75],125:[.95003,1.45,0,0,.75],160:[0,0,0,0,.25],710:[0,.75,0,0,1.44445],732:[0,.75,0,0,1.44445],770:[0,.75,0,0,1.44445],771:[0,.75,0,0,1.44445],8730:[.95003,1.45,0,0,1],8968:[.95003,1.45,0,0,.58334],8969:[.95003,1.45,0,0,.58334],8970:[.95003,1.45,0,0,.58334],8971:[.95003,1.45,0,0,.58334],10216:[.95003,1.45,0,0,.75],10217:[.95003,1.45,0,0,.75]},"Size4-Regular":{32:[0,0,0,0,.25],40:[1.25003,1.75,0,0,.79167],41:[1.25003,1.75,0,0,.79167],47:[1.25003,1.75,0,0,1.27778],91:[1.25003,1.75,0,0,.58334],92:[1.25003,1.75,0,0,1.27778],93:[1.25003,1.75,0,0,.58334],123:[1.25003,1.75,0,0,.80556],125:[1.25003,1.75,0,0,.80556],160:[0,0,0,0,.25],710:[0,.825,0,0,1.8889],732:[0,.825,0,0,1.8889],770:[0,.825,0,0,1.8889],771:[0,.825,0,0,1.8889],8730:[1.25003,1.75,0,0,1],8968:[1.25003,1.75,0,0,.63889],8969:[1.25003,1.75,0,0,.63889],8970:[1.25003,1.75,0,0,.63889],8971:[1.25003,1.75,0,0,.63889],9115:[.64502,1.155,0,0,.875],9116:[1e-5,.6,0,0,.875],9117:[.64502,1.155,0,0,.875],9118:[.64502,1.155,0,0,.875],9119:[1e-5,.6,0,0,.875],9120:[.64502,1.155,0,0,.875],9121:[.64502,1.155,0,0,.66667],9122:[-99e-5,.601,0,0,.66667],9123:[.64502,1.155,0,0,.66667],9124:[.64502,1.155,0,0,.66667],9125:[-99e-5,.601,0,0,.66667],9126:[.64502,1.155,0,0,.66667],9127:[1e-5,.9,0,0,.88889],9128:[.65002,1.15,0,0,.88889],9129:[.90001,0,0,0,.88889],9130:[0,.3,0,0,.88889],9131:[1e-5,.9,0,0,.88889],9132:[.65002,1.15,0,0,.88889],9133:[.90001,0,0,0,.88889],9143:[.88502,.915,0,0,1.05556],10216:[1.25003,1.75,0,0,.80556],10217:[1.25003,1.75,0,0,.80556],57344:[-.00499,.605,0,0,1.05556],57345:[-.00499,.605,0,0,1.05556],57680:[0,.12,0,0,.45],57681:[0,.12,0,0,.45],57682:[0,.12,0,0,.45],57683:[0,.12,0,0,.45]},"Typewriter-Regular":{32:[0,0,0,0,.525],33:[0,.61111,0,0,.525],34:[0,.61111,0,0,.525],35:[0,.61111,0,0,.525],36:[.08333,.69444,0,0,.525],37:[.08333,.69444,0,0,.525],38:[0,.61111,0,0,.525],39:[0,.61111,0,0,.525],40:[.08333,.69444,0,0,.525],41:[.08333,.69444,0,0,.525],42:[0,.52083,0,0,.525],43:[-.08056,.53055,0,0,.525],44:[.13889,.125,0,0,.525],45:[-.08056,.53055,0,0,.525],46:[0,.125,0,0,.525],47:[.08333,.69444,0,0,.525],48:[0,.61111,0,0,.525],49:[0,.61111,0,0,.525],50:[0,.61111,0,0,.525],51:[0,.61111,0,0,.525],52:[0,.61111,0,0,.525],53:[0,.61111,0,0,.525],54:[0,.61111,0,0,.525],55:[0,.61111,0,0,.525],56:[0,.61111,0,0,.525],57:[0,.61111,0,0,.525],58:[0,.43056,0,0,.525],59:[.13889,.43056,0,0,.525],60:[-.05556,.55556,0,0,.525],61:[-.19549,.41562,0,0,.525],62:[-.05556,.55556,0,0,.525],63:[0,.61111,0,0,.525],64:[0,.61111,0,0,.525],65:[0,.61111,0,0,.525],66:[0,.61111,0,0,.525],67:[0,.61111,0,0,.525],68:[0,.61111,0,0,.525],69:[0,.61111,0,0,.525],70:[0,.61111,0,0,.525],71:[0,.61111,0,0,.525],72:[0,.61111,0,0,.525],73:[0,.61111,0,0,.525],74:[0,.61111,0,0,.525],75:[0,.61111,0,0,.525],76:[0,.61111,0,0,.525],77:[0,.61111,0,0,.525],78:[0,.61111,0,0,.525],79:[0,.61111,0,0,.525],80:[0,.61111,0,0,.525],81:[.13889,.61111,0,0,.525],82:[0,.61111,0,0,.525],83:[0,.61111,0,0,.525],84:[0,.61111,0,0,.525],85:[0,.61111,0,0,.525],86:[0,.61111,0,0,.525],87:[0,.61111,0,0,.525],88:[0,.61111,0,0,.525],89:[0,.61111,0,0,.525],90:[0,.61111,0,0,.525],91:[.08333,.69444,0,0,.525],92:[.08333,.69444,0,0,.525],93:[.08333,.69444,0,0,.525],94:[0,.61111,0,0,.525],95:[.09514,0,0,0,.525],96:[0,.61111,0,0,.525],97:[0,.43056,0,0,.525],98:[0,.61111,0,0,.525],99:[0,.43056,0,0,.525],100:[0,.61111,0,0,.525],101:[0,.43056,0,0,.525],102:[0,.61111,0,0,.525],103:[.22222,.43056,0,0,.525],104:[0,.61111,0,0,.525],105:[0,.61111,0,0,.525],106:[.22222,.61111,0,0,.525],107:[0,.61111,0,0,.525],108:[0,.61111,0,0,.525],109:[0,.43056,0,0,.525],110:[0,.43056,0,0,.525],111:[0,.43056,0,0,.525],112:[.22222,.43056,0,0,.525],113:[.22222,.43056,0,0,.525],114:[0,.43056,0,0,.525],115:[0,.43056,0,0,.525],116:[0,.55358,0,0,.525],117:[0,.43056,0,0,.525],118:[0,.43056,0,0,.525],119:[0,.43056,0,0,.525],120:[0,.43056,0,0,.525],121:[.22222,.43056,0,0,.525],122:[0,.43056,0,0,.525],123:[.08333,.69444,0,0,.525],124:[.08333,.69444,0,0,.525],125:[.08333,.69444,0,0,.525],126:[0,.61111,0,0,.525],127:[0,.61111,0,0,.525],160:[0,0,0,0,.525],176:[0,.61111,0,0,.525],184:[.19445,0,0,0,.525],305:[0,.43056,0,0,.525],567:[.22222,.43056,0,0,.525],711:[0,.56597,0,0,.525],713:[0,.56555,0,0,.525],714:[0,.61111,0,0,.525],715:[0,.61111,0,0,.525],728:[0,.61111,0,0,.525],730:[0,.61111,0,0,.525],770:[0,.61111,0,0,.525],771:[0,.61111,0,0,.525],776:[0,.61111,0,0,.525],915:[0,.61111,0,0,.525],916:[0,.61111,0,0,.525],920:[0,.61111,0,0,.525],923:[0,.61111,0,0,.525],926:[0,.61111,0,0,.525],928:[0,.61111,0,0,.525],931:[0,.61111,0,0,.525],933:[0,.61111,0,0,.525],934:[0,.61111,0,0,.525],936:[0,.61111,0,0,.525],937:[0,.61111,0,0,.525],8216:[0,.61111,0,0,.525],8217:[0,.61111,0,0,.525],8242:[0,.61111,0,0,.525],9251:[.11111,.21944,0,0,.525]}},V={slant:[.25,.25,.25],space:[0,0,0],stretch:[0,0,0],shrink:[0,0,0],xHeight:[.431,.431,.431],quad:[1,1.171,1.472],extraSpace:[0,0,0],num1:[.677,.732,.925],num2:[.394,.384,.387],num3:[.444,.471,.504],denom1:[.686,.752,1.025],denom2:[.345,.344,.532],sup1:[.413,.503,.504],sup2:[.363,.431,.404],sup3:[.289,.286,.294],sub1:[.15,.143,.2],sub2:[.247,.286,.4],supDrop:[.386,.353,.494],subDrop:[.05,.071,.1],delim1:[2.39,1.7,1.98],delim2:[1.01,1.157,1.42],axisHeight:[.25,.25,.25],defaultRuleThickness:[.04,.049,.049],bigOpSpacing1:[.111,.111,.111],bigOpSpacing2:[.166,.166,.166],bigOpSpacing3:[.2,.2,.2],bigOpSpacing4:[.6,.611,.611],bigOpSpacing5:[.1,.143,.143],sqrtRuleThickness:[.04,.04,.04],ptPerEm:[10,10,10],doubleRuleSep:[.2,.2,.2],arrayRuleWidth:[.04,.04,.04],fboxsep:[.3,.3,.3],fboxrule:[.04,.04,.04]},U={"\xc5":"A","\xc7":"C","\xd0":"D","\xde":"o","\xe5":"a","\xe7":"c","\xf0":"d","\xfe":"o","\u0410":"A","\u0411":"B","\u0412":"B","\u0413":"F","\u0414":"A","\u0415":"E","\u0416":"K","\u0417":"3","\u0418":"N","\u0419":"N","\u041a":"K","\u041b":"N","\u041c":"M","\u041d":"H","\u041e":"O","\u041f":"N","\u0420":"P","\u0421":"C","\u0422":"T","\u0423":"y","\u0424":"O","\u0425":"X","\u0426":"U","\u0427":"h","\u0428":"W","\u0429":"W","\u042a":"B","\u042b":"X","\u042c":"B","\u042d":"3","\u042e":"X","\u042f":"R","\u0430":"a","\u0431":"b","\u0432":"a","\u0433":"r","\u0434":"y","\u0435":"e","\u0436":"m","\u0437":"e","\u0438":"n","\u0439":"n","\u043a":"n","\u043b":"n","\u043c":"m","\u043d":"n","\u043e":"o","\u043f":"n","\u0440":"p","\u0441":"c","\u0442":"o","\u0443":"y","\u0444":"b","\u0445":"x","\u0446":"n","\u0447":"n","\u0448":"w","\u0449":"w","\u044a":"a","\u044b":"m","\u044c":"a","\u044d":"e","\u044e":"m","\u044f":"r"};function G(t,e,r){if(!F[e])throw new Error("Font metrics not found for font: "+e+".");var a=t.charCodeAt(0),n=F[e][a];if(!n&&t[0]in U&&(a=U[t[0]].charCodeAt(0),n=F[e][a]),n||"text"!==r||M(a)&&(n=F[e][77]),n)return{depth:n[0],height:n[1],italic:n[2],skew:n[3],width:n[4]}}var Y={};var W={bin:1,close:1,inner:1,open:1,punct:1,rel:1},X={"accent-token":1,mathord:1,"op-token":1,spacing:1,textord:1},_={math:{},text:{}},j=_;function $(t,e,r,a,n,i){_[t][n]={font:e,group:r,replace:a},i&&a&&(_[t][a]=_[t][n])}var Z="main",K="ams",J="bin",Q="mathord",tt="op-token",et="rel";$("math",Z,et,"\u2261","\\equiv",!0),$("math",Z,et,"\u227a","\\prec",!0),$("math",Z,et,"\u227b","\\succ",!0),$("math",Z,et,"\u223c","\\sim",!0),$("math",Z,et,"\u22a5","\\perp"),$("math",Z,et,"\u2aaf","\\preceq",!0),$("math",Z,et,"\u2ab0","\\succeq",!0),$("math",Z,et,"\u2243","\\simeq",!0),$("math",Z,et,"\u2223","\\mid",!0),$("math",Z,et,"\u226a","\\ll",!0),$("math",Z,et,"\u226b","\\gg",!0),$("math",Z,et,"\u224d","\\asymp",!0),$("math",Z,et,"\u2225","\\parallel"),$("math",Z,et,"\u22c8","\\bowtie",!0),$("math",Z,et,"\u2323","\\smile",!0),$("math",Z,et,"\u2291","\\sqsubseteq",!0),$("math",Z,et,"\u2292","\\sqsupseteq",!0),$("math",Z,et,"\u2250","\\doteq",!0),$("math",Z,et,"\u2322","\\frown",!0),$("math",Z,et,"\u220b","\\ni",!0),$("math",Z,et,"\u221d","\\propto",!0),$("math",Z,et,"\u22a2","\\vdash",!0),$("math",Z,et,"\u22a3","\\dashv",!0),$("math",Z,et,"\u220b","\\owns"),$("math",Z,"punct",".","\\ldotp"),$("math",Z,"punct","\u22c5","\\cdotp"),$("math",Z,"textord","#","\\#"),$("text",Z,"textord","#","\\#"),$("math",Z,"textord","&","\\&"),$("text",Z,"textord","&","\\&"),$("math",Z,"textord","\u2135","\\aleph",!0),$("math",Z,"textord","\u2200","\\forall",!0),$("math",Z,"textord","\u210f","\\hbar",!0),$("math",Z,"textord","\u2203","\\exists",!0),$("math",Z,"textord","\u2207","\\nabla",!0),$("math",Z,"textord","\u266d","\\flat",!0),$("math",Z,"textord","\u2113","\\ell",!0),$("math",Z,"textord","\u266e","\\natural",!0),$("math",Z,"textord","\u2663","\\clubsuit",!0),$("math",Z,"textord","\u2118","\\wp",!0),$("math",Z,"textord","\u266f","\\sharp",!0),$("math",Z,"textord","\u2662","\\diamondsuit",!0),$("math",Z,"textord","\u211c","\\Re",!0),$("math",Z,"textord","\u2661","\\heartsuit",!0),$("math",Z,"textord","\u2111","\\Im",!0),$("math",Z,"textord","\u2660","\\spadesuit",!0),$("text",Z,"textord","\xa7","\\S",!0),$("text",Z,"textord","\xb6","\\P",!0),$("math",Z,"textord","\u2020","\\dag"),$("text",Z,"textord","\u2020","\\dag"),$("text",Z,"textord","\u2020","\\textdagger"),$("math",Z,"textord","\u2021","\\ddag"),$("text",Z,"textord","\u2021","\\ddag"),$("text",Z,"textord","\u2021","\\textdaggerdbl"),$("math",Z,"close","\u23b1","\\rmoustache",!0),$("math",Z,"open","\u23b0","\\lmoustache",!0),$("math",Z,"close","\u27ef","\\rgroup",!0),$("math",Z,"open","\u27ee","\\lgroup",!0),$("math",Z,J,"\u2213","\\mp",!0),$("math",Z,J,"\u2296","\\ominus",!0),$("math",Z,J,"\u228e","\\uplus",!0),$("math",Z,J,"\u2293","\\sqcap",!0),$("math",Z,J,"\u2217","\\ast"),$("math",Z,J,"\u2294","\\sqcup",!0),$("math",Z,J,"\u25ef","\\bigcirc"),$("math",Z,J,"\u2219","\\bullet"),$("math",Z,J,"\u2021","\\ddagger"),$("math",Z,J,"\u2240","\\wr",!0),$("math",Z,J,"\u2a3f","\\amalg"),$("math",Z,J,"&","\\And"),$("math",Z,et,"\u27f5","\\longleftarrow",!0),$("math",Z,et,"\u21d0","\\Leftarrow",!0),$("math",Z,et,"\u27f8","\\Longleftarrow",!0),$("math",Z,et,"\u27f6","\\longrightarrow",!0),$("math",Z,et,"\u21d2","\\Rightarrow",!0),$("math",Z,et,"\u27f9","\\Longrightarrow",!0),$("math",Z,et,"\u2194","\\leftrightarrow",!0),$("math",Z,et,"\u27f7","\\longleftrightarrow",!0),$("math",Z,et,"\u21d4","\\Leftrightarrow",!0),$("math",Z,et,"\u27fa","\\Longleftrightarrow",!0),$("math",Z,et,"\u21a6","\\mapsto",!0),$("math",Z,et,"\u27fc","\\longmapsto",!0),$("math",Z,et,"\u2197","\\nearrow",!0),$("math",Z,et,"\u21a9","\\hookleftarrow",!0),$("math",Z,et,"\u21aa","\\hookrightarrow",!0),$("math",Z,et,"\u2198","\\searrow",!0),$("math",Z,et,"\u21bc","\\leftharpoonup",!0),$("math",Z,et,"\u21c0","\\rightharpoonup",!0),$("math",Z,et,"\u2199","\\swarrow",!0),$("math",Z,et,"\u21bd","\\leftharpoondown",!0),$("math",Z,et,"\u21c1","\\rightharpoondown",!0),$("math",Z,et,"\u2196","\\nwarrow",!0),$("math",Z,et,"\u21cc","\\rightleftharpoons",!0),$("math",K,et,"\u226e","\\nless",!0),$("math",K,et,"\ue010","\\@nleqslant"),$("math",K,et,"\ue011","\\@nleqq"),$("math",K,et,"\u2a87","\\lneq",!0),$("math",K,et,"\u2268","\\lneqq",!0),$("math",K,et,"\ue00c","\\@lvertneqq"),$("math",K,et,"\u22e6","\\lnsim",!0),$("math",K,et,"\u2a89","\\lnapprox",!0),$("math",K,et,"\u2280","\\nprec",!0),$("math",K,et,"\u22e0","\\npreceq",!0),$("math",K,et,"\u22e8","\\precnsim",!0),$("math",K,et,"\u2ab9","\\precnapprox",!0),$("math",K,et,"\u2241","\\nsim",!0),$("math",K,et,"\ue006","\\@nshortmid"),$("math",K,et,"\u2224","\\nmid",!0),$("math",K,et,"\u22ac","\\nvdash",!0),$("math",K,et,"\u22ad","\\nvDash",!0),$("math",K,et,"\u22ea","\\ntriangleleft"),$("math",K,et,"\u22ec","\\ntrianglelefteq",!0),$("math",K,et,"\u228a","\\subsetneq",!0),$("math",K,et,"\ue01a","\\@varsubsetneq"),$("math",K,et,"\u2acb","\\subsetneqq",!0),$("math",K,et,"\ue017","\\@varsubsetneqq"),$("math",K,et,"\u226f","\\ngtr",!0),$("math",K,et,"\ue00f","\\@ngeqslant"),$("math",K,et,"\ue00e","\\@ngeqq"),$("math",K,et,"\u2a88","\\gneq",!0),$("math",K,et,"\u2269","\\gneqq",!0),$("math",K,et,"\ue00d","\\@gvertneqq"),$("math",K,et,"\u22e7","\\gnsim",!0),$("math",K,et,"\u2a8a","\\gnapprox",!0),$("math",K,et,"\u2281","\\nsucc",!0),$("math",K,et,"\u22e1","\\nsucceq",!0),$("math",K,et,"\u22e9","\\succnsim",!0),$("math",K,et,"\u2aba","\\succnapprox",!0),$("math",K,et,"\u2246","\\ncong",!0),$("math",K,et,"\ue007","\\@nshortparallel"),$("math",K,et,"\u2226","\\nparallel",!0),$("math",K,et,"\u22af","\\nVDash",!0),$("math",K,et,"\u22eb","\\ntriangleright"),$("math",K,et,"\u22ed","\\ntrianglerighteq",!0),$("math",K,et,"\ue018","\\@nsupseteqq"),$("math",K,et,"\u228b","\\supsetneq",!0),$("math",K,et,"\ue01b","\\@varsupsetneq"),$("math",K,et,"\u2acc","\\supsetneqq",!0),$("math",K,et,"\ue019","\\@varsupsetneqq"),$("math",K,et,"\u22ae","\\nVdash",!0),$("math",K,et,"\u2ab5","\\precneqq",!0),$("math",K,et,"\u2ab6","\\succneqq",!0),$("math",K,et,"\ue016","\\@nsubseteqq"),$("math",K,J,"\u22b4","\\unlhd"),$("math",K,J,"\u22b5","\\unrhd"),$("math",K,et,"\u219a","\\nleftarrow",!0),$("math",K,et,"\u219b","\\nrightarrow",!0),$("math",K,et,"\u21cd","\\nLeftarrow",!0),$("math",K,et,"\u21cf","\\nRightarrow",!0),$("math",K,et,"\u21ae","\\nleftrightarrow",!0),$("math",K,et,"\u21ce","\\nLeftrightarrow",!0),$("math",K,et,"\u25b3","\\vartriangle"),$("math",K,"textord","\u210f","\\hslash"),$("math",K,"textord","\u25bd","\\triangledown"),$("math",K,"textord","\u25ca","\\lozenge"),$("math",K,"textord","\u24c8","\\circledS"),$("math",K,"textord","\xae","\\circledR"),$("text",K,"textord","\xae","\\circledR"),$("math",K,"textord","\u2221","\\measuredangle",!0),$("math",K,"textord","\u2204","\\nexists"),$("math",K,"textord","\u2127","\\mho"),$("math",K,"textord","\u2132","\\Finv",!0),$("math",K,"textord","\u2141","\\Game",!0),$("math",K,"textord","\u2035","\\backprime"),$("math",K,"textord","\u25b2","\\blacktriangle"),$("math",K,"textord","\u25bc","\\blacktriangledown"),$("math",K,"textord","\u25a0","\\blacksquare"),$("math",K,"textord","\u29eb","\\blacklozenge"),$("math",K,"textord","\u2605","\\bigstar"),$("math",K,"textord","\u2222","\\sphericalangle",!0),$("math",K,"textord","\u2201","\\complement",!0),$("math",K,"textord","\xf0","\\eth",!0),$("text",Z,"textord","\xf0","\xf0"),$("math",K,"textord","\u2571","\\diagup"),$("math",K,"textord","\u2572","\\diagdown"),$("math",K,"textord","\u25a1","\\square"),$("math",K,"textord","\u25a1","\\Box"),$("math",K,"textord","\u25ca","\\Diamond"),$("math",K,"textord","\xa5","\\yen",!0),$("text",K,"textord","\xa5","\\yen",!0),$("math",K,"textord","\u2713","\\checkmark",!0),$("text",K,"textord","\u2713","\\checkmark"),$("math",K,"textord","\u2136","\\beth",!0),$("math",K,"textord","\u2138","\\daleth",!0),$("math",K,"textord","\u2137","\\gimel",!0),$("math",K,"textord","\u03dd","\\digamma",!0),$("math",K,"textord","\u03f0","\\varkappa"),$("math",K,"open","\u250c","\\@ulcorner",!0),$("math",K,"close","\u2510","\\@urcorner",!0),$("math",K,"open","\u2514","\\@llcorner",!0),$("math",K,"close","\u2518","\\@lrcorner",!0),$("math",K,et,"\u2266","\\leqq",!0),$("math",K,et,"\u2a7d","\\leqslant",!0),$("math",K,et,"\u2a95","\\eqslantless",!0),$("math",K,et,"\u2272","\\lesssim",!0),$("math",K,et,"\u2a85","\\lessapprox",!0),$("math",K,et,"\u224a","\\approxeq",!0),$("math",K,J,"\u22d6","\\lessdot"),$("math",K,et,"\u22d8","\\lll",!0),$("math",K,et,"\u2276","\\lessgtr",!0),$("math",K,et,"\u22da","\\lesseqgtr",!0),$("math",K,et,"\u2a8b","\\lesseqqgtr",!0),$("math",K,et,"\u2251","\\doteqdot"),$("math",K,et,"\u2253","\\risingdotseq",!0),$("math",K,et,"\u2252","\\fallingdotseq",!0),$("math",K,et,"\u223d","\\backsim",!0),$("math",K,et,"\u22cd","\\backsimeq",!0),$("math",K,et,"\u2ac5","\\subseteqq",!0),$("math",K,et,"\u22d0","\\Subset",!0),$("math",K,et,"\u228f","\\sqsubset",!0),$("math",K,et,"\u227c","\\preccurlyeq",!0),$("math",K,et,"\u22de","\\curlyeqprec",!0),$("math",K,et,"\u227e","\\precsim",!0),$("math",K,et,"\u2ab7","\\precapprox",!0),$("math",K,et,"\u22b2","\\vartriangleleft"),$("math",K,et,"\u22b4","\\trianglelefteq"),$("math",K,et,"\u22a8","\\vDash",!0),$("math",K,et,"\u22aa","\\Vvdash",!0),$("math",K,et,"\u2323","\\smallsmile"),$("math",K,et,"\u2322","\\smallfrown"),$("math",K,et,"\u224f","\\bumpeq",!0),$("math",K,et,"\u224e","\\Bumpeq",!0),$("math",K,et,"\u2267","\\geqq",!0),$("math",K,et,"\u2a7e","\\geqslant",!0),$("math",K,et,"\u2a96","\\eqslantgtr",!0),$("math",K,et,"\u2273","\\gtrsim",!0),$("math",K,et,"\u2a86","\\gtrapprox",!0),$("math",K,J,"\u22d7","\\gtrdot"),$("math",K,et,"\u22d9","\\ggg",!0),$("math",K,et,"\u2277","\\gtrless",!0),$("math",K,et,"\u22db","\\gtreqless",!0),$("math",K,et,"\u2a8c","\\gtreqqless",!0),$("math",K,et,"\u2256","\\eqcirc",!0),$("math",K,et,"\u2257","\\circeq",!0),$("math",K,et,"\u225c","\\triangleq",!0),$("math",K,et,"\u223c","\\thicksim"),$("math",K,et,"\u2248","\\thickapprox"),$("math",K,et,"\u2ac6","\\supseteqq",!0),$("math",K,et,"\u22d1","\\Supset",!0),$("math",K,et,"\u2290","\\sqsupset",!0),$("math",K,et,"\u227d","\\succcurlyeq",!0),$("math",K,et,"\u22df","\\curlyeqsucc",!0),$("math",K,et,"\u227f","\\succsim",!0),$("math",K,et,"\u2ab8","\\succapprox",!0),$("math",K,et,"\u22b3","\\vartriangleright"),$("math",K,et,"\u22b5","\\trianglerighteq"),$("math",K,et,"\u22a9","\\Vdash",!0),$("math",K,et,"\u2223","\\shortmid"),$("math",K,et,"\u2225","\\shortparallel"),$("math",K,et,"\u226c","\\between",!0),$("math",K,et,"\u22d4","\\pitchfork",!0),$("math",K,et,"\u221d","\\varpropto"),$("math",K,et,"\u25c0","\\blacktriangleleft"),$("math",K,et,"\u2234","\\therefore",!0),$("math",K,et,"\u220d","\\backepsilon"),$("math",K,et,"\u25b6","\\blacktriangleright"),$("math",K,et,"\u2235","\\because",!0),$("math",K,et,"\u22d8","\\llless"),$("math",K,et,"\u22d9","\\gggtr"),$("math",K,J,"\u22b2","\\lhd"),$("math",K,J,"\u22b3","\\rhd"),$("math",K,et,"\u2242","\\eqsim",!0),$("math",Z,et,"\u22c8","\\Join"),$("math",K,et,"\u2251","\\Doteq",!0),$("math",K,J,"\u2214","\\dotplus",!0),$("math",K,J,"\u2216","\\smallsetminus"),$("math",K,J,"\u22d2","\\Cap",!0),$("math",K,J,"\u22d3","\\Cup",!0),$("math",K,J,"\u2a5e","\\doublebarwedge",!0),$("math",K,J,"\u229f","\\boxminus",!0),$("math",K,J,"\u229e","\\boxplus",!0),$("math",K,J,"\u22c7","\\divideontimes",!0),$("math",K,J,"\u22c9","\\ltimes",!0),$("math",K,J,"\u22ca","\\rtimes",!0),$("math",K,J,"\u22cb","\\leftthreetimes",!0),$("math",K,J,"\u22cc","\\rightthreetimes",!0),$("math",K,J,"\u22cf","\\curlywedge",!0),$("math",K,J,"\u22ce","\\curlyvee",!0),$("math",K,J,"\u229d","\\circleddash",!0),$("math",K,J,"\u229b","\\circledast",!0),$("math",K,J,"\u22c5","\\centerdot"),$("math",K,J,"\u22ba","\\intercal",!0),$("math",K,J,"\u22d2","\\doublecap"),$("math",K,J,"\u22d3","\\doublecup"),$("math",K,J,"\u22a0","\\boxtimes",!0),$("math",K,et,"\u21e2","\\dashrightarrow",!0),$("math",K,et,"\u21e0","\\dashleftarrow",!0),$("math",K,et,"\u21c7","\\leftleftarrows",!0),$("math",K,et,"\u21c6","\\leftrightarrows",!0),$("math",K,et,"\u21da","\\Lleftarrow",!0),$("math",K,et,"\u219e","\\twoheadleftarrow",!0),$("math",K,et,"\u21a2","\\leftarrowtail",!0),$("math",K,et,"\u21ab","\\looparrowleft",!0),$("math",K,et,"\u21cb","\\leftrightharpoons",!0),$("math",K,et,"\u21b6","\\curvearrowleft",!0),$("math",K,et,"\u21ba","\\circlearrowleft",!0),$("math",K,et,"\u21b0","\\Lsh",!0),$("math",K,et,"\u21c8","\\upuparrows",!0),$("math",K,et,"\u21bf","\\upharpoonleft",!0),$("math",K,et,"\u21c3","\\downharpoonleft",!0),$("math",K,et,"\u22b8","\\multimap",!0),$("math",K,et,"\u21ad","\\leftrightsquigarrow",!0),$("math",K,et,"\u21c9","\\rightrightarrows",!0),$("math",K,et,"\u21c4","\\rightleftarrows",!0),$("math",K,et,"\u21a0","\\twoheadrightarrow",!0),$("math",K,et,"\u21a3","\\rightarrowtail",!0),$("math",K,et,"\u21ac","\\looparrowright",!0),$("math",K,et,"\u21b7","\\curvearrowright",!0),$("math",K,et,"\u21bb","\\circlearrowright",!0),$("math",K,et,"\u21b1","\\Rsh",!0),$("math",K,et,"\u21ca","\\downdownarrows",!0),$("math",K,et,"\u21be","\\upharpoonright",!0),$("math",K,et,"\u21c2","\\downharpoonright",!0),$("math",K,et,"\u21dd","\\rightsquigarrow",!0),$("math",K,et,"\u21dd","\\leadsto"),$("math",K,et,"\u21db","\\Rrightarrow",!0),$("math",K,et,"\u21be","\\restriction"),$("math",Z,"textord","\u2018","`"),$("math",Z,"textord","$","\\$"),$("text",Z,"textord","$","\\$"),$("text",Z,"textord","$","\\textdollar"),$("math",Z,"textord","%","\\%"),$("text",Z,"textord","%","\\%"),$("math",Z,"textord","_","\\_"),$("text",Z,"textord","_","\\_"),$("text",Z,"textord","_","\\textunderscore"),$("math",Z,"textord","\u2220","\\angle",!0),$("math",Z,"textord","\u221e","\\infty",!0),$("math",Z,"textord","\u2032","\\prime"),$("math",Z,"textord","\u25b3","\\triangle"),$("math",Z,"textord","\u0393","\\Gamma",!0),$("math",Z,"textord","\u0394","\\Delta",!0),$("math",Z,"textord","\u0398","\\Theta",!0),$("math",Z,"textord","\u039b","\\Lambda",!0),$("math",Z,"textord","\u039e","\\Xi",!0),$("math",Z,"textord","\u03a0","\\Pi",!0),$("math",Z,"textord","\u03a3","\\Sigma",!0),$("math",Z,"textord","\u03a5","\\Upsilon",!0),$("math",Z,"textord","\u03a6","\\Phi",!0),$("math",Z,"textord","\u03a8","\\Psi",!0),$("math",Z,"textord","\u03a9","\\Omega",!0),$("math",Z,"textord","A","\u0391"),$("math",Z,"textord","B","\u0392"),$("math",Z,"textord","E","\u0395"),$("math",Z,"textord","Z","\u0396"),$("math",Z,"textord","H","\u0397"),$("math",Z,"textord","I","\u0399"),$("math",Z,"textord","K","\u039a"),$("math",Z,"textord","M","\u039c"),$("math",Z,"textord","N","\u039d"),$("math",Z,"textord","O","\u039f"),$("math",Z,"textord","P","\u03a1"),$("math",Z,"textord","T","\u03a4"),$("math",Z,"textord","X","\u03a7"),$("math",Z,"textord","\xac","\\neg",!0),$("math",Z,"textord","\xac","\\lnot"),$("math",Z,"textord","\u22a4","\\top"),$("math",Z,"textord","\u22a5","\\bot"),$("math",Z,"textord","\u2205","\\emptyset"),$("math",K,"textord","\u2205","\\varnothing"),$("math",Z,Q,"\u03b1","\\alpha",!0),$("math",Z,Q,"\u03b2","\\beta",!0),$("math",Z,Q,"\u03b3","\\gamma",!0),$("math",Z,Q,"\u03b4","\\delta",!0),$("math",Z,Q,"\u03f5","\\epsilon",!0),$("math",Z,Q,"\u03b6","\\zeta",!0),$("math",Z,Q,"\u03b7","\\eta",!0),$("math",Z,Q,"\u03b8","\\theta",!0),$("math",Z,Q,"\u03b9","\\iota",!0),$("math",Z,Q,"\u03ba","\\kappa",!0),$("math",Z,Q,"\u03bb","\\lambda",!0),$("math",Z,Q,"\u03bc","\\mu",!0),$("math",Z,Q,"\u03bd","\\nu",!0),$("math",Z,Q,"\u03be","\\xi",!0),$("math",Z,Q,"\u03bf","\\omicron",!0),$("math",Z,Q,"\u03c0","\\pi",!0),$("math",Z,Q,"\u03c1","\\rho",!0),$("math",Z,Q,"\u03c3","\\sigma",!0),$("math",Z,Q,"\u03c4","\\tau",!0),$("math",Z,Q,"\u03c5","\\upsilon",!0),$("math",Z,Q,"\u03d5","\\phi",!0),$("math",Z,Q,"\u03c7","\\chi",!0),$("math",Z,Q,"\u03c8","\\psi",!0),$("math",Z,Q,"\u03c9","\\omega",!0),$("math",Z,Q,"\u03b5","\\varepsilon",!0),$("math",Z,Q,"\u03d1","\\vartheta",!0),$("math",Z,Q,"\u03d6","\\varpi",!0),$("math",Z,Q,"\u03f1","\\varrho",!0),$("math",Z,Q,"\u03c2","\\varsigma",!0),$("math",Z,Q,"\u03c6","\\varphi",!0),$("math",Z,J,"\u2217","*"),$("math",Z,J,"+","+"),$("math",Z,J,"\u2212","-"),$("math",Z,J,"\u22c5","\\cdot",!0),$("math",Z,J,"\u2218","\\circ"),$("math",Z,J,"\xf7","\\div",!0),$("math",Z,J,"\xb1","\\pm",!0),$("math",Z,J,"\xd7","\\times",!0),$("math",Z,J,"\u2229","\\cap",!0),$("math",Z,J,"\u222a","\\cup",!0),$("math",Z,J,"\u2216","\\setminus"),$("math",Z,J,"\u2227","\\land"),$("math",Z,J,"\u2228","\\lor"),$("math",Z,J,"\u2227","\\wedge",!0),$("math",Z,J,"\u2228","\\vee",!0),$("math",Z,"textord","\u221a","\\surd"),$("math",Z,"open","\u27e8","\\langle",!0),$("math",Z,"open","\u2223","\\lvert"),$("math",Z,"open","\u2225","\\lVert"),$("math",Z,"close","?","?"),$("math",Z,"close","!","!"),$("math",Z,"close","\u27e9","\\rangle",!0),$("math",Z,"close","\u2223","\\rvert"),$("math",Z,"close","\u2225","\\rVert"),$("math",Z,et,"=","="),$("math",Z,et,":",":"),$("math",Z,et,"\u2248","\\approx",!0),$("math",Z,et,"\u2245","\\cong",!0),$("math",Z,et,"\u2265","\\ge"),$("math",Z,et,"\u2265","\\geq",!0),$("math",Z,et,"\u2190","\\gets"),$("math",Z,et,">","\\gt",!0),$("math",Z,et,"\u2208","\\in",!0),$("math",Z,et,"\ue020","\\@not"),$("math",Z,et,"\u2282","\\subset",!0),$("math",Z,et,"\u2283","\\supset",!0),$("math",Z,et,"\u2286","\\subseteq",!0),$("math",Z,et,"\u2287","\\supseteq",!0),$("math",K,et,"\u2288","\\nsubseteq",!0),$("math",K,et,"\u2289","\\nsupseteq",!0),$("math",Z,et,"\u22a8","\\models"),$("math",Z,et,"\u2190","\\leftarrow",!0),$("math",Z,et,"\u2264","\\le"),$("math",Z,et,"\u2264","\\leq",!0),$("math",Z,et,"<","\\lt",!0),$("math",Z,et,"\u2192","\\rightarrow",!0),$("math",Z,et,"\u2192","\\to"),$("math",K,et,"\u2271","\\ngeq",!0),$("math",K,et,"\u2270","\\nleq",!0),$("math",Z,"spacing","\xa0","\\ "),$("math",Z,"spacing","\xa0","~"),$("math",Z,"spacing","\xa0","\\space"),$("math",Z,"spacing","\xa0","\\nobreakspace"),$("text",Z,"spacing","\xa0","\\ "),$("text",Z,"spacing","\xa0"," "),$("text",Z,"spacing","\xa0","~"),$("text",Z,"spacing","\xa0","\\space"),$("text",Z,"spacing","\xa0","\\nobreakspace"),$("math",Z,"spacing",null,"\\nobreak"),$("math",Z,"spacing",null,"\\allowbreak"),$("math",Z,"punct",",",","),$("math",Z,"punct",";",";"),$("math",K,J,"\u22bc","\\barwedge",!0),$("math",K,J,"\u22bb","\\veebar",!0),$("math",Z,J,"\u2299","\\odot",!0),$("math",Z,J,"\u2295","\\oplus",!0),$("math",Z,J,"\u2297","\\otimes",!0),$("math",Z,"textord","\u2202","\\partial",!0),$("math",Z,J,"\u2298","\\oslash",!0),$("math",K,J,"\u229a","\\circledcirc",!0),$("math",K,J,"\u22a1","\\boxdot",!0),$("math",Z,J,"\u25b3","\\bigtriangleup"),$("math",Z,J,"\u25bd","\\bigtriangledown"),$("math",Z,J,"\u2020","\\dagger"),$("math",Z,J,"\u22c4","\\diamond"),$("math",Z,J,"\u22c6","\\star"),$("math",Z,J,"\u25c3","\\triangleleft"),$("math",Z,J,"\u25b9","\\triangleright"),$("math",Z,"open","{","\\{"),$("text",Z,"textord","{","\\{"),$("text",Z,"textord","{","\\textbraceleft"),$("math",Z,"close","}","\\}"),$("text",Z,"textord","}","\\}"),$("text",Z,"textord","}","\\textbraceright"),$("math",Z,"open","{","\\lbrace"),$("math",Z,"close","}","\\rbrace"),$("math",Z,"open","[","\\lbrack",!0),$("text",Z,"textord","[","\\lbrack",!0),$("math",Z,"close","]","\\rbrack",!0),$("text",Z,"textord","]","\\rbrack",!0),$("math",Z,"open","(","\\lparen",!0),$("math",Z,"close",")","\\rparen",!0),$("text",Z,"textord","<","\\textless",!0),$("text",Z,"textord",">","\\textgreater",!0),$("math",Z,"open","\u230a","\\lfloor",!0),$("math",Z,"close","\u230b","\\rfloor",!0),$("math",Z,"open","\u2308","\\lceil",!0),$("math",Z,"close","\u2309","\\rceil",!0),$("math",Z,"textord","\\","\\backslash"),$("math",Z,"textord","\u2223","|"),$("math",Z,"textord","\u2223","\\vert"),$("text",Z,"textord","|","\\textbar",!0),$("math",Z,"textord","\u2225","\\|"),$("math",Z,"textord","\u2225","\\Vert"),$("text",Z,"textord","\u2225","\\textbardbl"),$("text",Z,"textord","~","\\textasciitilde"),$("text",Z,"textord","\\","\\textbackslash"),$("text",Z,"textord","^","\\textasciicircum"),$("math",Z,et,"\u2191","\\uparrow",!0),$("math",Z,et,"\u21d1","\\Uparrow",!0),$("math",Z,et,"\u2193","\\downarrow",!0),$("math",Z,et,"\u21d3","\\Downarrow",!0),$("math",Z,et,"\u2195","\\updownarrow",!0),$("math",Z,et,"\u21d5","\\Updownarrow",!0),$("math",Z,tt,"\u2210","\\coprod"),$("math",Z,tt,"\u22c1","\\bigvee"),$("math",Z,tt,"\u22c0","\\bigwedge"),$("math",Z,tt,"\u2a04","\\biguplus"),$("math",Z,tt,"\u22c2","\\bigcap"),$("math",Z,tt,"\u22c3","\\bigcup"),$("math",Z,tt,"\u222b","\\int"),$("math",Z,tt,"\u222b","\\intop"),$("math",Z,tt,"\u222c","\\iint"),$("math",Z,tt,"\u222d","\\iiint"),$("math",Z,tt,"\u220f","\\prod"),$("math",Z,tt,"\u2211","\\sum"),$("math",Z,tt,"\u2a02","\\bigotimes"),$("math",Z,tt,"\u2a01","\\bigoplus"),$("math",Z,tt,"\u2a00","\\bigodot"),$("math",Z,tt,"\u222e","\\oint"),$("math",Z,tt,"\u2a06","\\bigsqcup"),$("math",Z,tt,"\u222b","\\smallint"),$("text",Z,"inner","\u2026","\\textellipsis"),$("math",Z,"inner","\u2026","\\mathellipsis"),$("text",Z,"inner","\u2026","\\ldots",!0),$("math",Z,"inner","\u2026","\\ldots",!0),$("math",Z,"inner","\u22ef","\\@cdots",!0),$("math",Z,"inner","\u22f1","\\ddots",!0),$("math",Z,"textord","\u22ee","\\varvdots"),$("math",Z,"accent-token","\u02ca","\\acute"),$("math",Z,"accent-token","\u02cb","\\grave"),$("math",Z,"accent-token","\xa8","\\ddot"),$("math",Z,"accent-token","~","\\tilde"),$("math",Z,"accent-token","\u02c9","\\bar"),$("math",Z,"accent-token","\u02d8","\\breve"),$("math",Z,"accent-token","\u02c7","\\check"),$("math",Z,"accent-token","^","\\hat"),$("math",Z,"accent-token","\u20d7","\\vec"),$("math",Z,"accent-token","\u02d9","\\dot"),$("math",Z,"accent-token","\u02da","\\mathring"),$("math",Z,Q,"\ue131","\\@imath"),$("math",Z,Q,"\ue237","\\@jmath"),$("math",Z,"textord","\u0131","\u0131"),$("math",Z,"textord","\u0237","\u0237"),$("text",Z,"textord","\u0131","\\i",!0),$("text",Z,"textord","\u0237","\\j",!0),$("text",Z,"textord","\xdf","\\ss",!0),$("text",Z,"textord","\xe6","\\ae",!0),$("text",Z,"textord","\u0153","\\oe",!0),$("text",Z,"textord","\xf8","\\o",!0),$("text",Z,"textord","\xc6","\\AE",!0),$("text",Z,"textord","\u0152","\\OE",!0),$("text",Z,"textord","\xd8","\\O",!0),$("text",Z,"accent-token","\u02ca","\\'"),$("text",Z,"accent-token","\u02cb","\\`"),$("text",Z,"accent-token","\u02c6","\\^"),$("text",Z,"accent-token","\u02dc","\\~"),$("text",Z,"accent-token","\u02c9","\\="),$("text",Z,"accent-token","\u02d8","\\u"),$("text",Z,"accent-token","\u02d9","\\."),$("text",Z,"accent-token","\u02da","\\r"),$("text",Z,"accent-token","\u02c7","\\v"),$("text",Z,"accent-token","\xa8",'\\"'),$("text",Z,"accent-token","\u02dd","\\H"),$("text",Z,"accent-token","\u25ef","\\textcircled");var rt={"--":!0,"---":!0,"``":!0,"''":!0};$("text",Z,"textord","\u2013","--",!0),$("text",Z,"textord","\u2013","\\textendash"),$("text",Z,"textord","\u2014","---",!0),$("text",Z,"textord","\u2014","\\textemdash"),$("text",Z,"textord","\u2018","`",!0),$("text",Z,"textord","\u2018","\\textquoteleft"),$("text",Z,"textord","\u2019","'",!0),$("text",Z,"textord","\u2019","\\textquoteright"),$("text",Z,"textord","\u201c","``",!0),$("text",Z,"textord","\u201c","\\textquotedblleft"),$("text",Z,"textord","\u201d","''",!0),$("text",Z,"textord","\u201d","\\textquotedblright"),$("math",Z,"textord","\xb0","\\degree",!0),$("text",Z,"textord","\xb0","\\degree"),$("text",Z,"textord","\xb0","\\textdegree",!0),$("math",Z,"textord","\xa3","\\pounds"),$("math",Z,"textord","\xa3","\\mathsterling",!0),$("text",Z,"textord","\xa3","\\pounds"),$("text",Z,"textord","\xa3","\\textsterling",!0),$("math",K,"textord","\u2720","\\maltese"),$("text",K,"textord","\u2720","\\maltese");for(var at=0;at<'0123456789/@."'.length;at++){var nt='0123456789/@."'.charAt(at);$("math",Z,"textord",nt,nt)}for(var it=0;it<'0123456789!@*()-=+";:?/.,'.length;it++){var ot='0123456789!@*()-=+";:?/.,'.charAt(it);$("text",Z,"textord",ot,ot)}for(var st="ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz",lt=0;lt<st.length;lt++){var ht=st.charAt(lt);$("math",Z,Q,ht,ht),$("text",Z,"textord",ht,ht)}$("math",K,"textord","C","\u2102"),$("text",K,"textord","C","\u2102"),$("math",K,"textord","H","\u210d"),$("text",K,"textord","H","\u210d"),$("math",K,"textord","N","\u2115"),$("text",K,"textord","N","\u2115"),$("math",K,"textord","P","\u2119"),$("text",K,"textord","P","\u2119"),$("math",K,"textord","Q","\u211a"),$("text",K,"textord","Q","\u211a"),$("math",K,"textord","R","\u211d"),$("text",K,"textord","R","\u211d"),$("math",K,"textord","Z","\u2124"),$("text",K,"textord","Z","\u2124"),$("math",Z,Q,"h","\u210e"),$("text",Z,Q,"h","\u210e");for(var mt="",ct=0;ct<st.length;ct++){var ut=st.charAt(ct);$("math",Z,Q,ut,mt=String.fromCharCode(55349,56320+ct)),$("text",Z,"textord",ut,mt),$("math",Z,Q,ut,mt=String.fromCharCode(55349,56372+ct)),$("text",Z,"textord",ut,mt),$("math",Z,Q,ut,mt=String.fromCharCode(55349,56424+ct)),$("text",Z,"textord",ut,mt),$("math",Z,Q,ut,mt=String.fromCharCode(55349,56580+ct)),$("text",Z,"textord",ut,mt),$("math",Z,Q,ut,mt=String.fromCharCode(55349,56736+ct)),$("text",Z,"textord",ut,mt),$("math",Z,Q,ut,mt=String.fromCharCode(55349,56788+ct)),$("text",Z,"textord",ut,mt),$("math",Z,Q,ut,mt=String.fromCharCode(55349,56840+ct)),$("text",Z,"textord",ut,mt),$("math",Z,Q,ut,mt=String.fromCharCode(55349,56944+ct)),$("text",Z,"textord",ut,mt),ct<26&&($("math",Z,Q,ut,mt=String.fromCharCode(55349,56632+ct)),$("text",Z,"textord",ut,mt),$("math",Z,Q,ut,mt=String.fromCharCode(55349,56476+ct)),$("text",Z,"textord",ut,mt))}$("math",Z,Q,"k",mt=String.fromCharCode(55349,56668)),$("text",Z,"textord","k",mt);for(var pt=0;pt<10;pt++){var dt=pt.toString();$("math",Z,Q,dt,mt=String.fromCharCode(55349,57294+pt)),$("text",Z,"textord",dt,mt),$("math",Z,Q,dt,mt=String.fromCharCode(55349,57314+pt)),$("text",Z,"textord",dt,mt),$("math",Z,Q,dt,mt=String.fromCharCode(55349,57324+pt)),$("text",Z,"textord",dt,mt),$("math",Z,Q,dt,mt=String.fromCharCode(55349,57334+pt)),$("text",Z,"textord",dt,mt)}for(var ft=0;ft<"\xc7\xd0\xde\xe7\xfe".length;ft++){var gt="\xc7\xd0\xde\xe7\xfe".charAt(ft);$("math",Z,Q,gt,gt),$("text",Z,"textord",gt,gt)}var xt=[["mathbf","textbf","Main-Bold"],["mathbf","textbf","Main-Bold"],["mathnormal","textit","Math-Italic"],["mathnormal","textit","Math-Italic"],["boldsymbol","boldsymbol","Main-BoldItalic"],["boldsymbol","boldsymbol","Main-BoldItalic"],["mathscr","textscr","Script-Regular"],["","",""],["","",""],["","",""],["mathfrak","textfrak","Fraktur-Regular"],["mathfrak","textfrak","Fraktur-Regular"],["mathbb","textbb","AMS-Regular"],["mathbb","textbb","AMS-Regular"],["","",""],["","",""],["mathsf","textsf","SansSerif-Regular"],["mathsf","textsf","SansSerif-Regular"],["mathboldsf","textboldsf","SansSerif-Bold"],["mathboldsf","textboldsf","SansSerif-Bold"],["mathitsf","textitsf","SansSerif-Italic"],["mathitsf","textitsf","SansSerif-Italic"],["","",""],["","",""],["mathtt","texttt","Typewriter-Regular"],["mathtt","texttt","Typewriter-Regular"]],vt=[["mathbf","textbf","Main-Bold"],["","",""],["mathsf","textsf","SansSerif-Regular"],["mathboldsf","textboldsf","SansSerif-Bold"],["mathtt","texttt","Typewriter-Regular"]],bt=[[1,1,1],[2,1,1],[3,1,1],[4,2,1],[5,2,1],[6,3,1],[7,4,2],[8,6,3],[9,7,6],[10,8,7],[11,10,9]],yt=[.5,.6,.7,.8,.9,1,1.2,1.44,1.728,2.074,2.488],wt=function(t,e){return e.size<2?t:bt[t-1][e.size-1]},kt=function(){function t(e){this.style=void 0,this.color=void 0,this.size=void 0,this.textSize=void 0,this.phantom=void 0,this.font=void 0,this.fontFamily=void 0,this.fontWeight=void 0,this.fontShape=void 0,this.sizeMultiplier=void 0,this.maxSize=void 0,this.minRuleThickness=void 0,this._fontMetrics=void 0,this.style=e.style,this.color=e.color,this.size=e.size||t.BASESIZE,this.textSize=e.textSize||this.size,this.phantom=!!e.phantom,this.font=e.font||"",this.fontFamily=e.fontFamily||"",this.fontWeight=e.fontWeight||"",this.fontShape=e.fontShape||"",this.sizeMultiplier=yt[this.size-1],this.maxSize=e.maxSize,this.minRuleThickness=e.minRuleThickness,this._fontMetrics=void 0}var e=t.prototype;return e.extend=function(e){var r={style:this.style,size:this.size,textSize:this.textSize,color:this.color,phantom:this.phantom,font:this.font,fontFamily:this.fontFamily,fontWeight:this.fontWeight,fontShape:this.fontShape,maxSize:this.maxSize,minRuleThickness:this.minRuleThickness};for(var a in e)e.hasOwnProperty(a)&&(r[a]=e[a]);return new t(r)},e.havingStyle=function(t){return this.style===t?this:this.extend({style:t,size:wt(this.textSize,t)})},e.havingCrampedStyle=function(){return this.havingStyle(this.style.cramp())},e.havingSize=function(t){return this.size===t&&this.textSize===t?this:this.extend({style:this.style.text(),size:t,textSize:t,sizeMultiplier:yt[t-1]})},e.havingBaseStyle=function(e){e=e||this.style.text();var r=wt(t.BASESIZE,e);return this.size===r&&this.textSize===t.BASESIZE&&this.style===e?this:this.extend({style:e,size:r})},e.havingBaseSizing=function(){var t;switch(this.style.id){case 4:case 5:t=3;break;case 6:case 7:t=1;break;default:t=6}return this.extend({style:this.style.text(),size:t})},e.withColor=function(t){return this.extend({color:t})},e.withPhantom=function(){return this.extend({phantom:!0})},e.withFont=function(t){return this.extend({font:t})},e.withTextFontFamily=function(t){return this.extend({fontFamily:t,font:""})},e.withTextFontWeight=function(t){return this.extend({fontWeight:t,font:""})},e.withTextFontShape=function(t){return this.extend({fontShape:t,font:""})},e.sizingClasses=function(t){return t.size!==this.size?["sizing","reset-size"+t.size,"size"+this.size]:[]},e.baseSizingClasses=function(){return this.size!==t.BASESIZE?["sizing","reset-size"+this.size,"size"+t.BASESIZE]:[]},e.fontMetrics=function(){return this._fontMetrics||(this._fontMetrics=function(t){var e;if(!Y[e=t>=5?0:t>=3?1:2]){var r=Y[e]={cssEmPerMu:V.quad[e]/18};for(var a in V)V.hasOwnProperty(a)&&(r[a]=V[a][e])}return Y[e]}(this.size)),this._fontMetrics},e.getColor=function(){return this.phantom?"transparent":this.color},t}();kt.BASESIZE=6;var St=kt,Mt={pt:1,mm:7227/2540,cm:7227/254,in:72.27,bp:1.00375,pc:12,dd:1238/1157,cc:14856/1157,nd:685/642,nc:1370/107,sp:1/65536,px:1.00375},zt={ex:!0,em:!0,mu:!0},At=function(t){return"string"!=typeof t&&(t=t.unit),t in Mt||t in zt||"ex"===t},Tt=function(t,e){var r;if(t.unit in Mt)r=Mt[t.unit]/e.fontMetrics().ptPerEm/e.sizeMultiplier;else if("mu"===t.unit)r=e.fontMetrics().cssEmPerMu;else{var a;if(a=e.style.isTight()?e.havingStyle(e.style.text()):e,"ex"===t.unit)r=a.fontMetrics().xHeight;else{if("em"!==t.unit)throw new o("Invalid unit: '"+t.unit+"'");r=a.fontMetrics().quad}a!==e&&(r*=a.sizeMultiplier/e.sizeMultiplier)}return Math.min(t.number*r,e.maxSize)},Bt=function(t,e,r){return j[r][t]&&j[r][t].replace&&(t=j[r][t].replace),{value:t,metrics:G(t,e,r)}},Ct=function(t,e,r,a,n){var i,o=Bt(t,e,r),s=o.metrics;if(t=o.value,s){var l=s.italic;("text"===r||a&&"mathit"===a.font)&&(l=0),i=new E(t,s.height,s.depth,l,s.skew,s.width,n)}else"undefined"!=typeof console&&console.warn("No character metrics for '"+t+"' in style '"+e+"' and mode '"+r+"'"),i=new E(t,0,0,0,0,0,n);if(a){i.maxFontSize=a.sizeMultiplier,a.style.isTight()&&i.classes.push("mtight");var h=a.getColor();h&&(i.style.color=h)}return i},qt=function(t,e){if(T(t.classes)!==T(e.classes)||t.skew!==e.skew||t.maxFontSize!==e.maxFontSize)return!1;for(var r in t.style)if(t.style.hasOwnProperty(r)&&t.style[r]!==e.style[r])return!1;for(var a in e.style)if(e.style.hasOwnProperty(a)&&t.style[a]!==e.style[a])return!1;return!0},Nt=function(t){for(var e=0,r=0,a=0,n=0;n<t.children.length;n++){var i=t.children[n];i.height>e&&(e=i.height),i.depth>r&&(r=i.depth),i.maxFontSize>a&&(a=i.maxFontSize)}t.height=e,t.depth=r,t.maxFontSize=a},It=function(t,e,r,a){var n=new N(t,e,r,a);return Nt(n),n},Ot=function(t,e,r,a){return new N(t,e,r,a)},Rt=function(t){var e=new A(t);return Nt(e),e},Et=function(t,e,r){var a="";switch(t){case"amsrm":a="AMS";break;case"textrm":a="Main";break;case"textsf":a="SansSerif";break;case"texttt":a="Typewriter";break;default:a=t}return a+"-"+("textbf"===e&&"textit"===r?"BoldItalic":"textbf"===e?"Bold":"textit"===e?"Italic":"Regular")},Lt={mathbf:{variant:"bold",fontName:"Main-Bold"},mathrm:{variant:"normal",fontName:"Main-Regular"},textit:{variant:"italic",fontName:"Main-Italic"},mathit:{variant:"italic",fontName:"Main-Italic"},mathnormal:{variant:"italic",fontName:"Math-Italic"},mathbb:{variant:"double-struck",fontName:"AMS-Regular"},mathcal:{variant:"script",fontName:"Caligraphic-Regular"},mathfrak:{variant:"fraktur",fontName:"Fraktur-Regular"},mathscr:{variant:"script",fontName:"Script-Regular"},mathsf:{variant:"sans-serif",fontName:"SansSerif-Regular"},mathtt:{variant:"monospace",fontName:"Typewriter-Regular"}},Pt={vec:["vec",.471,.714],oiintSize1:["oiintSize1",.957,.499],oiintSize2:["oiintSize2",1.472,.659],oiiintSize1:["oiiintSize1",1.304,.499],oiiintSize2:["oiiintSize2",1.98,.659],leftParenInner:["leftParenInner",.875,.3],rightParenInner:["rightParenInner",.875,.3]},Dt={fontMap:Lt,makeSymbol:Ct,mathsym:function(t,e,r,a){return void 0===a&&(a=[]),"boldsymbol"===r.font&&Bt(t,"Main-Bold",e).metrics?Ct(t,"Main-Bold",e,r,a.concat(["mathbf"])):"\\"===t||"main"===j[e][t].font?Ct(t,"Main-Regular",e,r,a):Ct(t,"AMS-Regular",e,r,a.concat(["amsrm"]))},makeSpan:It,makeSvgSpan:Ot,makeLineSpan:function(t,e,r){var a=It([t],[],e);return a.height=Math.max(r||e.fontMetrics().defaultRuleThickness,e.minRuleThickness),a.style.borderBottomWidth=a.height+"em",a.maxFontSize=1,a},makeAnchor:function(t,e,r,a){var n=new I(t,e,r,a);return Nt(n),n},makeFragment:Rt,wrapFragment:function(t,e){return t instanceof A?It([],[t],e):t},makeVList:function(t,e){for(var r=function(t){if("individualShift"===t.positionType){for(var e=t.children,r=[e[0]],a=-e[0].shift-e[0].elem.depth,n=a,i=1;i<e.length;i++){var o=-e[i].shift-n-e[i].elem.depth,s=o-(e[i-1].elem.height+e[i-1].elem.depth);n+=o,r.push({type:"kern",size:s}),r.push(e[i])}return{children:r,depth:a}}var l;if("top"===t.positionType){for(var h=t.positionData,m=0;m<t.children.length;m++){var c=t.children[m];h-="kern"===c.type?c.size:c.elem.height+c.elem.depth}l=h}else if("bottom"===t.positionType)l=-t.positionData;else{var u=t.children[0];if("elem"!==u.type)throw new Error('First child must have type "elem".');if("shift"===t.positionType)l=-u.elem.depth-t.positionData;else{if("firstBaseline"!==t.positionType)throw new Error("Invalid positionType "+t.positionType+".");l=-u.elem.depth}}return{children:t.children,depth:l}}(t),a=r.children,n=r.depth,i=0,o=0;o<a.length;o++){var s=a[o];if("elem"===s.type){var l=s.elem;i=Math.max(i,l.maxFontSize,l.height)}}i+=2;var h=It(["pstrut"],[]);h.style.height=i+"em";for(var m=[],c=n,u=n,p=n,d=0;d<a.length;d++){var f=a[d];if("kern"===f.type)p+=f.size;else{var g=f.elem,x=f.wrapperClasses||[],v=f.wrapperStyle||{},b=It(x,[h,g],void 0,v);b.style.top=-i-p-g.depth+"em",f.marginLeft&&(b.style.marginLeft=f.marginLeft),f.marginRight&&(b.style.marginRight=f.marginRight),m.push(b),p+=g.height+g.depth}c=Math.min(c,p),u=Math.max(u,p)}var y,w=It(["vlist"],m);if(w.style.height=u+"em",c<0){var k=It([],[]),S=It(["vlist"],[k]);S.style.height=-c+"em";var M=It(["vlist-s"],[new E("\u200b")]);y=[It(["vlist-r"],[w,M]),It(["vlist-r"],[S])]}else y=[It(["vlist-r"],[w])];var z=It(["vlist-t"],y);return 2===y.length&&z.classes.push("vlist-t2"),z.height=u,z.depth=-c,z},makeOrd:function(t,e,r){var a=t.mode,n=t.text,i=["mord"],s="math"===a||"text"===a&&e.font,l=s?e.font:e.fontFamily;if(55349===n.charCodeAt(0)){var h=function(t,e){var r=1024*(t.charCodeAt(0)-55296)+(t.charCodeAt(1)-56320)+65536,a="math"===e?0:1;if(119808<=r&&r<120484){var n=Math.floor((r-119808)/26);return[xt[n][2],xt[n][a]]}if(120782<=r&&r<=120831){var i=Math.floor((r-120782)/10);return[vt[i][2],vt[i][a]]}if(120485===r||120486===r)return[xt[0][2],xt[0][a]];if(120486<r&&r<120782)return["",""];throw new o("Unsupported character: "+t)}(n,a),m=h[0],c=h[1];return Ct(n,m,a,e,i.concat(c))}if(l){var u,p;if("boldsymbol"===l){var d=function(t,e,r,a,n){return"textord"!==n&&Bt(t,"Math-BoldItalic",e).metrics?{fontName:"Math-BoldItalic",fontClass:"boldsymbol"}:{fontName:"Main-Bold",fontClass:"mathbf"}}(n,a,0,0,r);u=d.fontName,p=[d.fontClass]}else s?(u=Lt[l].fontName,p=[l]):(u=Et(l,e.fontWeight,e.fontShape),p=[l,e.fontWeight,e.fontShape]);if(Bt(n,u,a).metrics)return Ct(n,u,a,e,i.concat(p));if(rt.hasOwnProperty(n)&&"Typewriter"===u.substr(0,10)){for(var f=[],g=0;g<n.length;g++)f.push(Ct(n[g],u,a,e,i.concat(p)));return Rt(f)}}if("mathord"===r)return Ct(n,"Math-Italic",a,e,i.concat(["mathnormal"]));if("textord"===r){var x=j[a][n]&&j[a][n].font;if("ams"===x){var v=Et("amsrm",e.fontWeight,e.fontShape);return Ct(n,v,a,e,i.concat("amsrm",e.fontWeight,e.fontShape))}if("main"!==x&&x){var b=Et(x,e.fontWeight,e.fontShape);return Ct(n,b,a,e,i.concat(b,e.fontWeight,e.fontShape))}var y=Et("textrm",e.fontWeight,e.fontShape);return Ct(n,y,a,e,i.concat(e.fontWeight,e.fontShape))}throw new Error("unexpected type: "+r+" in makeOrd")},makeGlue:function(t,e){var r=It(["mspace"],[],e),a=Tt(t,e);return r.style.marginRight=a+"em",r},staticSvg:function(t,e){var r=Pt[t],a=r[0],n=r[1],i=r[2],o=new P(a),s=new L([o],{width:n+"em",height:i+"em",style:"width:"+n+"em",viewBox:"0 0 "+1e3*n+" "+1e3*i,preserveAspectRatio:"xMinYMin"}),l=Ot(["overlay"],[s],e);return l.height=i,l.style.height=i+"em",l.style.width=n+"em",l},svgData:Pt,tryCombineChars:function(t){for(var e=0;e<t.length-1;e++){var r=t[e],a=t[e+1];r instanceof E&&a instanceof E&&qt(r,a)&&(r.text+=a.text,r.height=Math.max(r.height,a.height),r.depth=Math.max(r.depth,a.depth),r.italic=a.italic,t.splice(e+1,1),e--)}return t}},Ht={number:3,unit:"mu"},Ft={number:4,unit:"mu"},Vt={number:5,unit:"mu"},Ut={mord:{mop:Ht,mbin:Ft,mrel:Vt,minner:Ht},mop:{mord:Ht,mop:Ht,mrel:Vt,minner:Ht},mbin:{mord:Ft,mop:Ft,mopen:Ft,minner:Ft},mrel:{mord:Vt,mop:Vt,mopen:Vt,minner:Vt},mopen:{},mclose:{mop:Ht,mbin:Ft,mrel:Vt,minner:Ht},mpunct:{mord:Ht,mop:Ht,mrel:Vt,mopen:Ht,mclose:Ht,mpunct:Ht,minner:Ht},minner:{mord:Ht,mop:Ht,mbin:Ft,mrel:Vt,mopen:Ht,mpunct:Ht,minner:Ht}},Gt={mord:{mop:Ht},mop:{mord:Ht,mop:Ht},mbin:{},mrel:{},mopen:{},mclose:{mop:Ht},mpunct:{},minner:{mop:Ht}},Yt={},Wt={},Xt={};function _t(t){for(var e=t.type,r=t.names,a=t.props,n=t.handler,i=t.htmlBuilder,o=t.mathmlBuilder,s={type:e,numArgs:a.numArgs,argTypes:a.argTypes,greediness:void 0===a.greediness?1:a.greediness,allowedInText:!!a.allowedInText,allowedInMath:void 0===a.allowedInMath||a.allowedInMath,numOptionalArgs:a.numOptionalArgs||0,infix:!!a.infix,handler:n},l=0;l<r.length;++l)Yt[r[l]]=s;e&&(i&&(Wt[e]=i),o&&(Xt[e]=o))}function jt(t){_t({type:t.type,names:[],props:{numArgs:0},handler:function(){throw new Error("Should never be called.")},htmlBuilder:t.htmlBuilder,mathmlBuilder:t.mathmlBuilder})}var $t=function(t){return"ordgroup"===t.type?t.body:[t]},Zt=Dt.makeSpan,Kt=["leftmost","mbin","mopen","mrel","mop","mpunct"],Jt=["rightmost","mrel","mclose","mpunct"],Qt={display:w.DISPLAY,text:w.TEXT,script:w.SCRIPT,scriptscript:w.SCRIPTSCRIPT},te={mord:"mord",mop:"mop",mbin:"mbin",mrel:"mrel",mopen:"mopen",mclose:"mclose",mpunct:"mpunct",minner:"minner"},ee=function(t,e,r,a){void 0===a&&(a=[null,null]);for(var n=[],i=0;i<t.length;i++){var o=oe(t[i],e);if(o instanceof A){var s=o.children;n.push.apply(n,s)}else n.push(o)}if(!r)return n;var l=e;if(1===t.length){var h=t[0];"sizing"===h.type?l=e.havingSize(h.size):"styling"===h.type&&(l=e.havingStyle(Qt[h.style]))}var m=Zt([a[0]||"leftmost"],[],e),u=Zt([a[1]||"rightmost"],[],e),p="root"===r;return re(n,function(t,e){var r=e.classes[0],a=t.classes[0];"mbin"===r&&c.contains(Jt,a)?e.classes[0]="mord":"mbin"===a&&c.contains(Kt,r)&&(t.classes[0]="mord")},{node:m},u,p),re(n,function(t,e){var r=ne(e),a=ne(t),n=r&&a?t.hasClass("mtight")?Gt[r][a]:Ut[r][a]:null;if(n)return Dt.makeGlue(n,l)},{node:m},u,p),n},re=function t(e,r,a,n,i){n&&e.push(n);for(var o=0;o<e.length;o++){var s=e[o],l=ae(s);if(l)t(l.children,r,a,null,i);else{var h=!s.hasClass("mspace");if(h){var m=r(s,a.node);m&&(a.insertAfter?a.insertAfter(m):(e.unshift(m),o++))}h?a.node=s:i&&s.hasClass("newline")&&(a.node=Zt(["leftmost"])),a.insertAfter=function(t){return function(r){e.splice(t+1,0,r),o++}}(o)}}n&&e.pop()},ae=function(t){return t instanceof A||t instanceof I||t instanceof N&&t.hasClass("enclosing")?t:null},ne=function(t,e){return t?(e&&(t=function t(e,r){var a=ae(e);if(a){var n=a.children;if(n.length){if("right"===r)return t(n[n.length-1],"right");if("left"===r)return t(n[0],"left")}}return e}(t,e)),te[t.classes[0]]||null):null},ie=function(t,e){var r=["nulldelimiter"].concat(t.baseSizingClasses());return Zt(e.concat(r))},oe=function(t,e,r){if(!t)return Zt();if(Wt[t.type]){var a=Wt[t.type](t,e);if(r&&e.size!==r.size){a=Zt(e.sizingClasses(r),[a],e);var n=e.sizeMultiplier/r.sizeMultiplier;a.height*=n,a.depth*=n}return a}throw new o("Got group of unknown type: '"+t.type+"'")};function se(t,e){var r=Zt(["base"],t,e),a=Zt(["strut"]);return a.style.height=r.height+r.depth+"em",a.style.verticalAlign=-r.depth+"em",r.children.unshift(a),r}function le(t,e){var r=null;1===t.length&&"tag"===t[0].type&&(r=t[0].tag,t=t[0].body);for(var a,n=ee(t,e,"root"),i=[],o=[],s=0;s<n.length;s++)if(o.push(n[s]),n[s].hasClass("mbin")||n[s].hasClass("mrel")||n[s].hasClass("allowbreak")){for(var l=!1;s<n.length-1&&n[s+1].hasClass("mspace")&&!n[s+1].hasClass("newline");)s++,o.push(n[s]),n[s].hasClass("nobreak")&&(l=!0);l||(i.push(se(o,e)),o=[])}else n[s].hasClass("newline")&&(o.pop(),o.length>0&&(i.push(se(o,e)),o=[]),i.push(n[s]));o.length>0&&i.push(se(o,e)),r&&((a=se(ee(r,e,!0))).classes=["tag"],i.push(a));var h=Zt(["katex-html"],i);if(h.setAttribute("aria-hidden","true"),a){var m=a.children[0];m.style.height=h.height+h.depth+"em",m.style.verticalAlign=-h.depth+"em"}return h}function he(t){return new A(t)}var me=function(){function t(t,e){this.type=void 0,this.attributes=void 0,this.children=void 0,this.type=t,this.attributes={},this.children=e||[]}var e=t.prototype;return e.setAttribute=function(t,e){this.attributes[t]=e},e.getAttribute=function(t){return this.attributes[t]},e.toNode=function(){var t=document.createElementNS("http://www.w3.org/1998/Math/MathML",this.type);for(var e in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,e)&&t.setAttribute(e,this.attributes[e]);for(var r=0;r<this.children.length;r++)t.appendChild(this.children[r].toNode());return t},e.toMarkup=function(){var t="<"+this.type;for(var e in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,e)&&(t+=" "+e+'="',t+=c.escape(this.attributes[e]),t+='"');t+=">";for(var r=0;r<this.children.length;r++)t+=this.children[r].toMarkup();return t+="</"+this.type+">"},e.toText=function(){return this.children.map(function(t){return t.toText()}).join("")},t}(),ce=function(){function t(t){this.text=void 0,this.text=t}var e=t.prototype;return e.toNode=function(){return document.createTextNode(this.text)},e.toMarkup=function(){return c.escape(this.toText())},e.toText=function(){return this.text},t}(),ue={MathNode:me,TextNode:ce,SpaceNode:function(){function t(t){this.width=void 0,this.character=void 0,this.width=t,this.character=t>=.05555&&t<=.05556?"\u200a":t>=.1666&&t<=.1667?"\u2009":t>=.2222&&t<=.2223?"\u2005":t>=.2777&&t<=.2778?"\u2005\u200a":t>=-.05556&&t<=-.05555?"\u200a\u2063":t>=-.1667&&t<=-.1666?"\u2009\u2063":t>=-.2223&&t<=-.2222?"\u205f\u2063":t>=-.2778&&t<=-.2777?"\u2005\u2063":null}var e=t.prototype;return e.toNode=function(){if(this.character)return document.createTextNode(this.character);var t=document.createElementNS("http://www.w3.org/1998/Math/MathML","mspace");return t.setAttribute("width",this.width+"em"),t},e.toMarkup=function(){return this.character?"<mtext>"+this.character+"</mtext>":'<mspace width="'+this.width+'em"/>'},e.toText=function(){return this.character?this.character:" "},t}(),newDocumentFragment:he},pe=function(t,e,r){return!j[e][t]||!j[e][t].replace||55349===t.charCodeAt(0)||rt.hasOwnProperty(t)&&r&&(r.fontFamily&&"tt"===r.fontFamily.substr(4,2)||r.font&&"tt"===r.font.substr(4,2))||(t=j[e][t].replace),new ue.TextNode(t)},de=function(t){return 1===t.length?t[0]:new ue.MathNode("mrow",t)},fe=function(t,e){if("texttt"===e.fontFamily)return"monospace";if("textsf"===e.fontFamily)return"textit"===e.fontShape&&"textbf"===e.fontWeight?"sans-serif-bold-italic":"textit"===e.fontShape?"sans-serif-italic":"textbf"===e.fontWeight?"bold-sans-serif":"sans-serif";if("textit"===e.fontShape&&"textbf"===e.fontWeight)return"bold-italic";if("textit"===e.fontShape)return"italic";if("textbf"===e.fontWeight)return"bold";var r=e.font;if(!r||"mathnormal"===r)return null;var a=t.mode;if("mathit"===r)return"italic";if("boldsymbol"===r)return"textord"===t.type?"bold":"bold-italic";if("mathbf"===r)return"bold";if("mathbb"===r)return"double-struck";if("mathfrak"===r)return"fraktur";if("mathscr"===r||"mathcal"===r)return"script";if("mathsf"===r)return"sans-serif";if("mathtt"===r)return"monospace";var n=t.text;return c.contains(["\\imath","\\jmath"],n)?null:(j[a][n]&&j[a][n].replace&&(n=j[a][n].replace),G(n,Dt.fontMap[r].fontName,a)?Dt.fontMap[r].variant:null)},ge=function(t,e,r){if(1===t.length){var a=ve(t[0],e);return r&&a instanceof me&&"mo"===a.type&&(a.setAttribute("lspace","0em"),a.setAttribute("rspace","0em")),[a]}for(var n,i=[],o=0;o<t.length;o++){var s=ve(t[o],e);if(s instanceof me&&n instanceof me){if("mtext"===s.type&&"mtext"===n.type&&s.getAttribute("mathvariant")===n.getAttribute("mathvariant")){var l;(l=n.children).push.apply(l,s.children);continue}if("mn"===s.type&&"mn"===n.type){var h;(h=n.children).push.apply(h,s.children);continue}if("mi"===s.type&&1===s.children.length&&"mn"===n.type){var m=s.children[0];if(m instanceof ce&&"."===m.text){var c;(c=n.children).push.apply(c,s.children);continue}}else if("mi"===n.type&&1===n.children.length){var u=n.children[0];if(u instanceof ce&&"\u0338"===u.text&&("mo"===s.type||"mi"===s.type||"mn"===s.type)){var p=s.children[0];p instanceof ce&&p.text.length>0&&(p.text=p.text.slice(0,1)+"\u0338"+p.text.slice(1),i.pop())}}}i.push(s),n=s}return i},xe=function(t,e,r){return de(ge(t,e,r))},ve=function(t,e){if(!t)return new ue.MathNode("mrow");if(Xt[t.type])return Xt[t.type](t,e);throw new o("Got group of unknown type: '"+t.type+"'")};function be(t,e,r,a,n){var i,o=ge(t,r);i=1===o.length&&o[0]instanceof me&&c.contains(["mrow","mtable"],o[0].type)?o[0]:new ue.MathNode("mrow",o);var s=new ue.MathNode("annotation",[new ue.TextNode(e)]);s.setAttribute("encoding","application/x-tex");var l=new ue.MathNode("semantics",[i,s]),h=new ue.MathNode("math",[l]);h.setAttribute("xmlns","http://www.w3.org/1998/Math/MathML"),a&&h.setAttribute("display","block");var m=n?"katex":"katex-mathml";return Dt.makeSpan([m],[h])}var ye=function(t){return new St({style:t.displayMode?w.DISPLAY:w.TEXT,maxSize:t.maxSize,minRuleThickness:t.minRuleThickness})},we=function(t,e){if(e.displayMode){var r=["katex-display"];e.leqno&&r.push("leqno"),e.fleqn&&r.push("fleqn"),t=Dt.makeSpan(r,[t])}return t},ke=function(t,e,r){var a,n=ye(r);if("mathml"===r.output)return be(t,e,n,r.displayMode,!0);if("html"===r.output){var i=le(t,n);a=Dt.makeSpan(["katex"],[i])}else{var o=be(t,e,n,r.displayMode,!1),s=le(t,n);a=Dt.makeSpan(["katex"],[o,s])}return we(a,r)},Se={widehat:"^",widecheck:"\u02c7",widetilde:"~",utilde:"~",overleftarrow:"\u2190",underleftarrow:"\u2190",xleftarrow:"\u2190",overrightarrow:"\u2192",underrightarrow:"\u2192",xrightarrow:"\u2192",underbrace:"\u23df",overbrace:"\u23de",overgroup:"\u23e0",undergroup:"\u23e1",overleftrightarrow:"\u2194",underleftrightarrow:"\u2194",xleftrightarrow:"\u2194",Overrightarrow:"\u21d2",xRightarrow:"\u21d2",overleftharpoon:"\u21bc",xleftharpoonup:"\u21bc",overrightharpoon:"\u21c0",xrightharpoonup:"\u21c0",xLeftarrow:"\u21d0",xLeftrightarrow:"\u21d4",xhookleftarrow:"\u21a9",xhookrightarrow:"\u21aa",xmapsto:"\u21a6",xrightharpoondown:"\u21c1",xleftharpoondown:"\u21bd",xrightleftharpoons:"\u21cc",xleftrightharpoons:"\u21cb",xtwoheadleftarrow:"\u219e",xtwoheadrightarrow:"\u21a0",xlongequal:"=",xtofrom:"\u21c4",xrightleftarrows:"\u21c4",xrightequilibrium:"\u21cc",xleftequilibrium:"\u21cb"},Me={overrightarrow:[["rightarrow"],.888,522,"xMaxYMin"],overleftarrow:[["leftarrow"],.888,522,"xMinYMin"],underrightarrow:[["rightarrow"],.888,522,"xMaxYMin"],underleftarrow:[["leftarrow"],.888,522,"xMinYMin"],xrightarrow:[["rightarrow"],1.469,522,"xMaxYMin"],xleftarrow:[["leftarrow"],1.469,522,"xMinYMin"],Overrightarrow:[["doublerightarrow"],.888,560,"xMaxYMin"],xRightarrow:[["doublerightarrow"],1.526,560,"xMaxYMin"],xLeftarrow:[["doubleleftarrow"],1.526,560,"xMinYMin"],overleftharpoon:[["leftharpoon"],.888,522,"xMinYMin"],xleftharpoonup:[["leftharpoon"],.888,522,"xMinYMin"],xleftharpoondown:[["leftharpoondown"],.888,522,"xMinYMin"],overrightharpoon:[["rightharpoon"],.888,522,"xMaxYMin"],xrightharpoonup:[["rightharpoon"],.888,522,"xMaxYMin"],xrightharpoondown:[["rightharpoondown"],.888,522,"xMaxYMin"],xlongequal:[["longequal"],.888,334,"xMinYMin"],xtwoheadleftarrow:[["twoheadleftarrow"],.888,334,"xMinYMin"],xtwoheadrightarrow:[["twoheadrightarrow"],.888,334,"xMaxYMin"],overleftrightarrow:[["leftarrow","rightarrow"],.888,522],overbrace:[["leftbrace","midbrace","rightbrace"],1.6,548],underbrace:[["leftbraceunder","midbraceunder","rightbraceunder"],1.6,548],underleftrightarrow:[["leftarrow","rightarrow"],.888,522],xleftrightarrow:[["leftarrow","rightarrow"],1.75,522],xLeftrightarrow:[["doubleleftarrow","doublerightarrow"],1.75,560],xrightleftharpoons:[["leftharpoondownplus","rightharpoonplus"],1.75,716],xleftrightharpoons:[["leftharpoonplus","rightharpoondownplus"],1.75,716],xhookleftarrow:[["leftarrow","righthook"],1.08,522],xhookrightarrow:[["lefthook","rightarrow"],1.08,522],overlinesegment:[["leftlinesegment","rightlinesegment"],.888,522],underlinesegment:[["leftlinesegment","rightlinesegment"],.888,522],overgroup:[["leftgroup","rightgroup"],.888,342],undergroup:[["leftgroupunder","rightgroupunder"],.888,342],xmapsto:[["leftmapsto","rightarrow"],1.5,522],xtofrom:[["leftToFrom","rightToFrom"],1.75,528],xrightleftarrows:[["baraboveleftarrow","rightarrowabovebar"],1.75,901],xrightequilibrium:[["baraboveshortleftharpoon","rightharpoonaboveshortbar"],1.75,716],xleftequilibrium:[["shortbaraboveleftharpoon","shortrightharpoonabovebar"],1.75,716]},ze=function(t){return"ordgroup"===t.type?t.body.length:1},Ae=function(t,e,r,a){var n,i=t.height+t.depth+2*r;if(/fbox|color/.test(e)){if(n=Dt.makeSpan(["stretchy",e],[],a),"fbox"===e){var o=a.color&&a.getColor();o&&(n.style.borderColor=o)}}else{var s=[];/^[bx]cancel$/.test(e)&&s.push(new D({x1:"0",y1:"0",x2:"100%",y2:"100%","stroke-width":"0.046em"})),/^x?cancel$/.test(e)&&s.push(new D({x1:"0",y1:"100%",x2:"100%",y2:"0","stroke-width":"0.046em"}));var l=new L(s,{width:"100%",height:i+"em"});n=Dt.makeSvgSpan([],[l],a)}return n.height=i,n.style.height=i+"em",n},Te=function(t){var e=new ue.MathNode("mo",[new ue.TextNode(Se[t.substr(1)])]);return e.setAttribute("stretchy","true"),e},Be=function(t,e){var r=function(){var r=4e5,a=t.label.substr(1);if(c.contains(["widehat","widecheck","widetilde","utilde"],a)){var n,i,o,s=ze(t.base);if(s>5)"widehat"===a||"widecheck"===a?(n=420,r=2364,o=.42,i=a+"4"):(n=312,r=2340,o=.34,i="tilde4");else{var l=[1,1,2,2,3,3][s];"widehat"===a||"widecheck"===a?(r=[0,1062,2364,2364,2364][l],n=[0,239,300,360,420][l],o=[0,.24,.3,.3,.36,.42][l],i=a+l):(r=[0,600,1033,2339,2340][l],n=[0,260,286,306,312][l],o=[0,.26,.286,.3,.306,.34][l],i="tilde"+l)}var h=new P(i),m=new L([h],{width:"100%",height:o+"em",viewBox:"0 0 "+r+" "+n,preserveAspectRatio:"none"});return{span:Dt.makeSvgSpan([],[m],e),minWidth:0,height:o}}var u,p,d=[],f=Me[a],g=f[0],x=f[1],v=f[2],b=v/1e3,y=g.length;if(1===y)u=["hide-tail"],p=[f[3]];else if(2===y)u=["halfarrow-left","halfarrow-right"],p=["xMinYMin","xMaxYMin"];else{if(3!==y)throw new Error("Correct katexImagesData or update code here to support\n                    "+y+" children.");u=["brace-left","brace-center","brace-right"],p=["xMinYMin","xMidYMin","xMaxYMin"]}for(var w=0;w<y;w++){var k=new P(g[w]),S=new L([k],{width:"400em",height:b+"em",viewBox:"0 0 "+r+" "+v,preserveAspectRatio:p[w]+" slice"}),M=Dt.makeSvgSpan([u[w]],[S],e);if(1===y)return{span:M,minWidth:x,height:b};M.style.height=b+"em",d.push(M)}return{span:Dt.makeSpan(["stretchy"],d,e),minWidth:x,height:b}}(),a=r.span,n=r.minWidth,i=r.height;return a.height=i,a.style.height=i+"em",n>0&&(a.style.minWidth=n+"em"),a};function Ce(t,e){if(!t||t.type!==e)throw new Error("Expected node of type "+e+", but got "+(t?"node of type "+t.type:String(t)));return t}function qe(t){var e=Ne(t);if(!e)throw new Error("Expected node of symbol group type, but got "+(t?"node of type "+t.type:String(t)));return e}function Ne(t){return t&&("atom"===t.type||X.hasOwnProperty(t.type))?t:null}var Ie=function(t,e){var r,a,n;t&&"supsub"===t.type?(r=(a=Ce(t.base,"accent")).base,t.base=r,n=function(t){if(t instanceof N)return t;throw new Error("Expected span<HtmlDomNode> but got "+String(t)+".")}(oe(t,e)),t.base=a):r=(a=Ce(t,"accent")).base;var i=oe(r,e.havingCrampedStyle()),o=0;if(a.isShifty&&c.isCharacterBox(r)){var s=c.getBaseElem(r);o=H(oe(s,e.havingCrampedStyle())).skew}var l,h=Math.min(i.height,e.fontMetrics().xHeight);if(a.isStretchy)l=Be(a,e),l=Dt.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:i},{type:"elem",elem:l,wrapperClasses:["svg-align"],wrapperStyle:o>0?{width:"calc(100% - "+2*o+"em)",marginLeft:2*o+"em"}:void 0}]},e);else{var m,u;"\\vec"===a.label?(m=Dt.staticSvg("vec",e),u=Dt.svgData.vec[1]):((m=H(m=Dt.makeOrd({mode:a.mode,text:a.label},e,"textord"))).italic=0,u=m.width),l=Dt.makeSpan(["accent-body"],[m]);var p="\\textcircled"===a.label;p&&(l.classes.push("accent-full"),h=i.height);var d=o;p||(d-=u/2),l.style.left=d+"em","\\textcircled"===a.label&&(l.style.top=".2em"),l=Dt.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:i},{type:"kern",size:-h},{type:"elem",elem:l}]},e)}var f=Dt.makeSpan(["mord","accent"],[l],e);return n?(n.children[0]=f,n.height=Math.max(f.height,n.height),n.classes[0]="mord",n):f},Oe=function(t,e){var r=t.isStretchy?Te(t.label):new ue.MathNode("mo",[pe(t.label,t.mode)]),a=new ue.MathNode("mover",[ve(t.base,e),r]);return a.setAttribute("accent","true"),a},Re=new RegExp(["\\acute","\\grave","\\ddot","\\tilde","\\bar","\\breve","\\check","\\hat","\\vec","\\dot","\\mathring"].map(function(t){return"\\"+t}).join("|"));_t({type:"accent",names:["\\acute","\\grave","\\ddot","\\tilde","\\bar","\\breve","\\check","\\hat","\\vec","\\dot","\\mathring","\\widecheck","\\widehat","\\widetilde","\\overrightarrow","\\overleftarrow","\\Overrightarrow","\\overleftrightarrow","\\overgroup","\\overlinesegment","\\overleftharpoon","\\overrightharpoon"],props:{numArgs:1},handler:function(t,e){var r=e[0],a=!Re.test(t.funcName),n=!a||"\\widehat"===t.funcName||"\\widetilde"===t.funcName||"\\widecheck"===t.funcName;return{type:"accent",mode:t.parser.mode,label:t.funcName,isStretchy:a,isShifty:n,base:r}},htmlBuilder:Ie,mathmlBuilder:Oe}),_t({type:"accent",names:["\\'","\\`","\\^","\\~","\\=","\\u","\\.",'\\"',"\\r","\\H","\\v","\\textcircled"],props:{numArgs:1,allowedInText:!0,allowedInMath:!1},handler:function(t,e){var r=e[0];return{type:"accent",mode:t.parser.mode,label:t.funcName,isStretchy:!1,isShifty:!0,base:r}},htmlBuilder:Ie,mathmlBuilder:Oe}),_t({type:"accentUnder",names:["\\underleftarrow","\\underrightarrow","\\underleftrightarrow","\\undergroup","\\underlinesegment","\\utilde"],props:{numArgs:1},handler:function(t,e){var r=t.parser,a=t.funcName,n=e[0];return{type:"accentUnder",mode:r.mode,label:a,base:n}},htmlBuilder:function(t,e){var r=oe(t.base,e),a=Be(t,e),n="\\utilde"===t.label?.12:0,i=Dt.makeVList({positionType:"top",positionData:r.height,children:[{type:"elem",elem:a,wrapperClasses:["svg-align"]},{type:"kern",size:n},{type:"elem",elem:r}]},e);return Dt.makeSpan(["mord","accentunder"],[i],e)},mathmlBuilder:function(t,e){var r=Te(t.label),a=new ue.MathNode("munder",[ve(t.base,e),r]);return a.setAttribute("accentunder","true"),a}});var Ee=function(t){var e=new ue.MathNode("mpadded",t?[t]:[]);return e.setAttribute("width","+0.6em"),e.setAttribute("lspace","0.3em"),e};_t({type:"xArrow",names:["\\xleftarrow","\\xrightarrow","\\xLeftarrow","\\xRightarrow","\\xleftrightarrow","\\xLeftrightarrow","\\xhookleftarrow","\\xhookrightarrow","\\xmapsto","\\xrightharpoondown","\\xrightharpoonup","\\xleftharpoondown","\\xleftharpoonup","\\xrightleftharpoons","\\xleftrightharpoons","\\xlongequal","\\xtwoheadrightarrow","\\xtwoheadleftarrow","\\xtofrom","\\xrightleftarrows","\\xrightequilibrium","\\xleftequilibrium"],props:{numArgs:1,numOptionalArgs:1},handler:function(t,e,r){var a=t.parser,n=t.funcName;return{type:"xArrow",mode:a.mode,label:n,body:e[0],below:r[0]}},htmlBuilder:function(t,e){var r,a=e.style,n=e.havingStyle(a.sup()),i=Dt.wrapFragment(oe(t.body,n,e),e);i.classes.push("x-arrow-pad"),t.below&&(n=e.havingStyle(a.sub()),(r=Dt.wrapFragment(oe(t.below,n,e),e)).classes.push("x-arrow-pad"));var o,s=Be(t,e),l=-e.fontMetrics().axisHeight+.5*s.height,h=-e.fontMetrics().axisHeight-.5*s.height-.111;if((i.depth>.25||"\\xleftequilibrium"===t.label)&&(h-=i.depth),r){var m=-e.fontMetrics().axisHeight+r.height+.5*s.height+.111;o=Dt.makeVList({positionType:"individualShift",children:[{type:"elem",elem:i,shift:h},{type:"elem",elem:s,shift:l},{type:"elem",elem:r,shift:m}]},e)}else o=Dt.makeVList({positionType:"individualShift",children:[{type:"elem",elem:i,shift:h},{type:"elem",elem:s,shift:l}]},e);return o.children[0].children[0].children[1].classes.push("svg-align"),Dt.makeSpan(["mrel","x-arrow"],[o],e)},mathmlBuilder:function(t,e){var r,a=Te(t.label);if(t.body){var n=Ee(ve(t.body,e));if(t.below){var i=Ee(ve(t.below,e));r=new ue.MathNode("munderover",[a,i,n])}else r=new ue.MathNode("mover",[a,n])}else if(t.below){var o=Ee(ve(t.below,e));r=new ue.MathNode("munder",[a,o])}else r=Ee(),r=new ue.MathNode("mover",[a,r]);return r}}),_t({type:"textord",names:["\\@char"],props:{numArgs:1,allowedInText:!0},handler:function(t,e){for(var r=t.parser,a=Ce(e[0],"ordgroup").body,n="",i=0;i<a.length;i++){n+=Ce(a[i],"textord").text}var s=parseInt(n);if(isNaN(s))throw new o("\\@char has non-numeric argument "+n);return{type:"textord",mode:r.mode,text:String.fromCharCode(s)}}});var Le=function(t,e){var r=ee(t.body,e.withColor(t.color),!1);return Dt.makeFragment(r)},Pe=function(t,e){var r=ge(t.body,e.withColor(t.color)),a=new ue.MathNode("mstyle",r);return a.setAttribute("mathcolor",t.color),a};_t({type:"color",names:["\\textcolor"],props:{numArgs:2,allowedInText:!0,greediness:3,argTypes:["color","original"]},handler:function(t,e){var r=t.parser,a=Ce(e[0],"color-token").color,n=e[1];return{type:"color",mode:r.mode,color:a,body:$t(n)}},htmlBuilder:Le,mathmlBuilder:Pe}),_t({type:"color",names:["\\color"],props:{numArgs:1,allowedInText:!0,greediness:3,argTypes:["color"]},handler:function(t,e){var r=t.parser,a=t.breakOnTokenText,n=Ce(e[0],"color-token").color;r.gullet.macros.set("\\current@color",n);var i=r.parseExpression(!0,a);return{type:"color",mode:r.mode,color:n,body:i}},htmlBuilder:Le,mathmlBuilder:Pe}),_t({type:"cr",names:["\\cr","\\newline"],props:{numArgs:0,numOptionalArgs:1,argTypes:["size"],allowedInText:!0},handler:function(t,e,r){var a=t.parser,n=t.funcName,i=r[0],o="\\cr"===n,s=!1;return o||(s=!a.settings.displayMode||!a.settings.useStrictBehavior("newLineInDisplayMode","In LaTeX, \\\\ or \\newline does nothing in display mode")),{type:"cr",mode:a.mode,newLine:s,newRow:o,size:i&&Ce(i,"size").value}},htmlBuilder:function(t,e){if(t.newRow)throw new o("\\cr valid only within a tabular/array environment");var r=Dt.makeSpan(["mspace"],[],e);return t.newLine&&(r.classes.push("newline"),t.size&&(r.style.marginTop=Tt(t.size,e)+"em")),r},mathmlBuilder:function(t,e){var r=new ue.MathNode("mspace");return t.newLine&&(r.setAttribute("linebreak","newline"),t.size&&r.setAttribute("height",Tt(t.size,e)+"em")),r}});var De={"\\global":"\\global","\\long":"\\\\globallong","\\\\globallong":"\\\\globallong","\\def":"\\gdef","\\gdef":"\\gdef","\\edef":"\\xdef","\\xdef":"\\xdef","\\let":"\\\\globallet","\\futurelet":"\\\\globalfuture"},He=function(t){var e=t.text;if(/^(?:[\\{}$&#^_]|EOF)$/.test(e))throw new o("Expected a control sequence",t);return e},Fe=function(t,e,r,a){var n=t.gullet.macros.get(r.text);null==n&&(r.noexpand=!0,n={tokens:[r],numArgs:0,unexpandable:!t.gullet.isExpandable(r.text)}),t.gullet.macros.set(e,n,a)};_t({type:"internal",names:["\\global","\\long","\\\\globallong"],props:{numArgs:0,allowedInText:!0},handler:function(t){var e=t.parser,r=t.funcName;e.consumeSpaces();var a=e.fetch();if(De[a.text])return"\\global"!==r&&"\\\\globallong"!==r||(a.text=De[a.text]),Ce(e.parseFunction(),"internal");throw new o("Invalid token after macro prefix",a)}}),_t({type:"internal",names:["\\def","\\gdef","\\edef","\\xdef"],props:{numArgs:0,allowedInText:!0},handler:function(t){var e=t.parser,r=t.funcName,a=e.gullet.consumeArgs(1)[0];if(1!==a.length)throw new o("\\gdef's first argument must be a macro name");var n=a[0].text,i=0;for(a=e.gullet.consumeArgs(1)[0];1===a.length&&"#"===a[0].text;){if(1!==(a=e.gullet.consumeArgs(1)[0]).length)throw new o('Invalid argument number length "'+a.length+'"');if(!/^[1-9]$/.test(a[0].text))throw new o('Invalid argument number "'+a[0].text+'"');if(i++,parseInt(a[0].text)!==i)throw new o('Argument number "'+a[0].text+'" out of order');a=e.gullet.consumeArgs(1)[0]}return"\\edef"!==r&&"\\xdef"!==r||(a=e.gullet.expandTokens(a)).reverse(),e.gullet.macros.set(n,{tokens:a,numArgs:i},r===De[r]),{type:"internal",mode:e.mode}}}),_t({type:"internal",names:["\\let","\\\\globallet"],props:{numArgs:0,allowedInText:!0},handler:function(t){var e=t.parser,r=t.funcName,a=He(e.gullet.popToken());e.gullet.consumeSpaces();var n=function(t){var e=t.gullet.popToken();return"="===e.text&&" "===(e=t.gullet.popToken()).text&&(e=t.gullet.popToken()),e}(e);return Fe(e,a,n,"\\\\globallet"===r),{type:"internal",mode:e.mode}}}),_t({type:"internal",names:["\\futurelet","\\\\globalfuture"],props:{numArgs:0,allowedInText:!0},handler:function(t){var e=t.parser,r=t.funcName,a=He(e.gullet.popToken()),n=e.gullet.popToken(),i=e.gullet.popToken();return Fe(e,a,i,"\\\\globalfuture"===r),e.gullet.pushToken(i),e.gullet.pushToken(n),{type:"internal",mode:e.mode}}});var Ve=function(t,e,r){var a=G(j.math[t]&&j.math[t].replace||t,e,r);if(!a)throw new Error("Unsupported symbol "+t+" and font size "+e+".");return a},Ue=function(t,e,r,a){var n=r.havingBaseStyle(e),i=Dt.makeSpan(a.concat(n.sizingClasses(r)),[t],r),o=n.sizeMultiplier/r.sizeMultiplier;return i.height*=o,i.depth*=o,i.maxFontSize=n.sizeMultiplier,i},Ge=function(t,e,r){var a=e.havingBaseStyle(r),n=(1-e.sizeMultiplier/a.sizeMultiplier)*e.fontMetrics().axisHeight;t.classes.push("delimcenter"),t.style.top=n+"em",t.height-=n,t.depth+=n},Ye=function(t,e,r,a,n,i){var o=function(t,e,r,a){return Dt.makeSymbol(t,"Size"+e+"-Regular",r,a)}(t,e,n,a),s=Ue(Dt.makeSpan(["delimsizing","size"+e],[o],a),w.TEXT,a,i);return r&&Ge(s,a,w.TEXT),s},We=function(t,e,r){var a;return a="Size1-Regular"===e?"delim-size1":"delim-size4",{type:"elem",elem:Dt.makeSpan(["delimsizinginner",a],[Dt.makeSpan([],[Dt.makeSymbol(t,e,r)])])}},Xe={type:"kern",size:-.005},_e=function(t,e,r,a,n,i){var o,s,l,h;o=l=h=t,s=null;var m="Size1-Regular";"\\uparrow"===t?l=h="\u23d0":"\\Uparrow"===t?l=h="\u2016":"\\downarrow"===t?o=l="\u23d0":"\\Downarrow"===t?o=l="\u2016":"\\updownarrow"===t?(o="\\uparrow",l="\u23d0",h="\\downarrow"):"\\Updownarrow"===t?(o="\\Uparrow",l="\u2016",h="\\Downarrow"):"["===t||"\\lbrack"===t?(o="\u23a1",l="\u23a2",h="\u23a3",m="Size4-Regular"):"]"===t||"\\rbrack"===t?(o="\u23a4",l="\u23a5",h="\u23a6",m="Size4-Regular"):"\\lfloor"===t||"\u230a"===t?(l=o="\u23a2",h="\u23a3",m="Size4-Regular"):"\\lceil"===t||"\u2308"===t?(o="\u23a1",l=h="\u23a2",m="Size4-Regular"):"\\rfloor"===t||"\u230b"===t?(l=o="\u23a5",h="\u23a6",m="Size4-Regular"):"\\rceil"===t||"\u2309"===t?(o="\u23a4",l=h="\u23a5",m="Size4-Regular"):"("===t||"\\lparen"===t?(o="\u239b",l="\u239c",h="\u239d",m="Size4-Regular"):")"===t||"\\rparen"===t?(o="\u239e",l="\u239f",h="\u23a0",m="Size4-Regular"):"\\{"===t||"\\lbrace"===t?(o="\u23a7",s="\u23a8",h="\u23a9",l="\u23aa",m="Size4-Regular"):"\\}"===t||"\\rbrace"===t?(o="\u23ab",s="\u23ac",h="\u23ad",l="\u23aa",m="Size4-Regular"):"\\lgroup"===t||"\u27ee"===t?(o="\u23a7",h="\u23a9",l="\u23aa",m="Size4-Regular"):"\\rgroup"===t||"\u27ef"===t?(o="\u23ab",h="\u23ad",l="\u23aa",m="Size4-Regular"):"\\lmoustache"===t||"\u23b0"===t?(o="\u23a7",h="\u23ad",l="\u23aa",m="Size4-Regular"):"\\rmoustache"!==t&&"\u23b1"!==t||(o="\u23ab",h="\u23a9",l="\u23aa",m="Size4-Regular");var c=Ve(o,m,n),u=c.height+c.depth,p=Ve(l,m,n),d=p.height+p.depth,f=Ve(h,m,n),g=f.height+f.depth,x=0,v=1;if(null!==s){var b=Ve(s,m,n);x=b.height+b.depth,v=2}var y=u+g+x,k=Math.max(0,Math.ceil((e-y)/(v*d))),S=y+k*v*d,M=a.fontMetrics().axisHeight;r&&(M*=a.sizeMultiplier);var z=S/2-M,A=.005*(k+1)-d,T=[];if(T.push(We(h,m,n)),null===s)for(var B=0;B<k;B++)T.push(Xe),T.push(We(l,m,n));else{for(var C=0;C<k;C++)T.push(Xe),T.push(We(l,m,n));T.push({type:"kern",size:A}),T.push(We(l,m,n)),T.push(Xe),T.push(We(s,m,n));for(var q=0;q<k;q++)T.push(Xe),T.push(We(l,m,n))}if("\u239c"!==l&&"\u239f"!==l||0!==k)T.push({type:"kern",size:A}),T.push(We(l,m,n)),T.push(Xe);else{var N=Dt.svgData.leftParenInner[2]/2;T.push({type:"kern",size:-N});var I="\u239c"===l?"leftParenInner":"rightParenInner",O=Dt.staticSvg(I,a);T.push({type:"elem",elem:O}),T.push({type:"kern",size:-N})}T.push(We(o,m,n));var R=a.havingBaseStyle(w.TEXT),E=Dt.makeVList({positionType:"bottom",positionData:z,children:T},R);return Ue(Dt.makeSpan(["delimsizing","mult"],[E],R),w.TEXT,a,i)},je=function(t,e,r,a,n){var i=function(t,e,r){e*=1e3;var a="";switch(t){case"sqrtMain":a=function(t,e){return"M95,"+(622+t+e)+"\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl"+t/2.075+" -"+t+"\nc5.3,-9.3,12,-14,20,-14\nH400000v"+(40+t)+"H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM"+(834+t)+" "+e+"h400000v"+(40+t)+"h-400000z"}(e,80);break;case"sqrtSize1":a=function(t,e){return"M263,"+(601+t+e)+"c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl"+t/2.084+" -"+t+"\nc4.7,-7.3,11,-11,19,-11\nH40000v"+(40+t)+"H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM"+(1001+t)+" "+e+"h400000v"+(40+t)+"h-400000z"}(e,80);break;case"sqrtSize2":a=function(t,e){return"M983 "+(10+t+e)+"\nl"+t/3.13+" -"+t+"\nc4,-6.7,10,-10,18,-10 H400000v"+(40+t)+"\nH1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7\ns-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744\nc-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30\nc26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722\nc56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5\nc53.7,-170.3,84.5,-266.8,92.5,-289.5z\nM"+(1001+t)+" "+e+"h400000v"+(40+t)+"h-400000z"}(e,80);break;case"sqrtSize3":a=function(t,e){return"M424,"+(2398+t+e)+"\nc-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514\nc0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5,25c-5.7,9.3,-9.8,16,-12.5,20\ns-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121\ns209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081\nl"+t/4.223+" -"+t+"c4,-6.7,10,-10,18,-10 H400000\nv"+(40+t)+"H1014.6\ns-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185\nc-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2z M"+(1001+t)+" "+e+"\nh400000v"+(40+t)+"h-400000z"}(e,80);break;case"sqrtSize4":a=function(t,e){return"M473,"+(2713+t+e)+"\nc339.3,-1799.3,509.3,-2700,510,-2702 l"+t/5.298+" -"+t+"\nc3.3,-7.3,9.3,-11,18,-11 H400000v"+(40+t)+"H1017.7\ns-90.5,478,-276.2,1466c-185.7,988,-279.5,1483,-281.5,1485c-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2c0,-1.3,-5.3,-32,-16,-92c-50.7,-293.3,-119.7,-693.3,-207,-1200\nc0,-1.3,-5.3,8.7,-16,30c-10.7,21.3,-21.3,42.7,-32,64s-16,33,-16,33s-26,-26,-26,-26\ns76,-153,76,-153s77,-151,77,-151c0.7,0.7,35.7,202,105,604c67.3,400.7,102,602.7,104,\n606zM"+(1001+t)+" "+e+"h400000v"+(40+t)+"H1017.7z"}(e,80);break;case"sqrtTall":a=function(t,e,r){return"M702 "+(t+e)+"H400000"+(40+t)+"\nH742v"+(r-54-e-t)+"l-4 4-4 4c-.667.7 -2 1.5-4 2.5s-4.167 1.833-6.5 2.5-5.5 1-9.5 1\nh-12l-28-84c-16.667-52-96.667 -294.333-240-727l-212 -643 -85 170\nc-4-3.333-8.333-7.667-13 -13l-13-13l77-155 77-156c66 199.333 139 419.667\n219 661 l218 661zM702 "+e+"H400000v"+(40+t)+"H742z"}(e,80,r)}return a}(t,a,r),o=new P(t,i),s=new L([o],{width:"400em",height:e+"em",viewBox:"0 0 400000 "+r,preserveAspectRatio:"xMinYMin slice"});return Dt.makeSvgSpan(["hide-tail"],[s],n)},$e=["(","\\lparen",")","\\rparen","[","\\lbrack","]","\\rbrack","\\{","\\lbrace","\\}","\\rbrace","\\lfloor","\\rfloor","\u230a","\u230b","\\lceil","\\rceil","\u2308","\u2309","\\surd"],Ze=["\\uparrow","\\downarrow","\\updownarrow","\\Uparrow","\\Downarrow","\\Updownarrow","|","\\|","\\vert","\\Vert","\\lvert","\\rvert","\\lVert","\\rVert","\\lgroup","\\rgroup","\u27ee","\u27ef","\\lmoustache","\\rmoustache","\u23b0","\u23b1"],Ke=["<",">","\\langle","\\rangle","/","\\backslash","\\lt","\\gt"],Je=[0,1.2,1.8,2.4,3],Qe=[{type:"small",style:w.SCRIPTSCRIPT},{type:"small",style:w.SCRIPT},{type:"small",style:w.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4}],tr=[{type:"small",style:w.SCRIPTSCRIPT},{type:"small",style:w.SCRIPT},{type:"small",style:w.TEXT},{type:"stack"}],er=[{type:"small",style:w.SCRIPTSCRIPT},{type:"small",style:w.SCRIPT},{type:"small",style:w.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4},{type:"stack"}],rr=function(t){if("small"===t.type)return"Main-Regular";if("large"===t.type)return"Size"+t.size+"-Regular";if("stack"===t.type)return"Size4-Regular";throw new Error("Add support for delim type '"+t.type+"' here.")},ar=function(t,e,r,a){for(var n=Math.min(2,3-a.style.size);n<r.length&&"stack"!==r[n].type;n++){var i=Ve(t,rr(r[n]),"math"),o=i.height+i.depth;if("small"===r[n].type&&(o*=a.havingBaseStyle(r[n].style).sizeMultiplier),o>e)return r[n]}return r[r.length-1]},nr=function(t,e,r,a,n,i){var o;"<"===t||"\\lt"===t||"\u27e8"===t?t="\\langle":">"!==t&&"\\gt"!==t&&"\u27e9"!==t||(t="\\rangle"),o=c.contains(Ke,t)?Qe:c.contains($e,t)?er:tr;var s=ar(t,e,o,a);return"small"===s.type?function(t,e,r,a,n,i){var o=Dt.makeSymbol(t,"Main-Regular",n,a),s=Ue(o,e,a,i);return r&&Ge(s,a,e),s}(t,s.style,r,a,n,i):"large"===s.type?Ye(t,s.size,r,a,n,i):_e(t,e,r,a,n,i)},ir=function(t,e){var r,a,n=e.havingBaseSizing(),i=ar("\\surd",t*n.sizeMultiplier,er,n),o=n.sizeMultiplier,s=Math.max(0,e.minRuleThickness-e.fontMetrics().sqrtRuleThickness),l=0,h=0,m=0;return"small"===i.type?(t<1?o=1:t<1.4&&(o=.7),h=(1+s)/o,(r=je("sqrtMain",l=(1+s+.08)/o,m=1e3+1e3*s+80,s,e)).style.minWidth="0.853em",a=.833/o):"large"===i.type?(m=1080*Je[i.size],h=(Je[i.size]+s)/o,l=(Je[i.size]+s+.08)/o,(r=je("sqrtSize"+i.size,l,m,s,e)).style.minWidth="1.02em",a=1/o):(l=t+s+.08,h=t+s,m=Math.floor(1e3*t+s)+80,(r=je("sqrtTall",l,m,s,e)).style.minWidth="0.742em",a=1.056),r.height=h,r.style.height=l+"em",{span:r,advanceWidth:a,ruleWidth:(e.fontMetrics().sqrtRuleThickness+s)*o}},or=function(t,e,r,a,n){if("<"===t||"\\lt"===t||"\u27e8"===t?t="\\langle":">"!==t&&"\\gt"!==t&&"\u27e9"!==t||(t="\\rangle"),c.contains($e,t)||c.contains(Ke,t))return Ye(t,e,!1,r,a,n);if(c.contains(Ze,t))return _e(t,Je[e],!1,r,a,n);throw new o("Illegal delimiter: '"+t+"'")},sr=nr,lr=function(t,e,r,a,n,i){var o=a.fontMetrics().axisHeight*a.sizeMultiplier,s=5/a.fontMetrics().ptPerEm,l=Math.max(e-o,r+o),h=Math.max(l/500*901,2*l-s);return nr(t,h,!0,a,n,i)},hr={"\\bigl":{mclass:"mopen",size:1},"\\Bigl":{mclass:"mopen",size:2},"\\biggl":{mclass:"mopen",size:3},"\\Biggl":{mclass:"mopen",size:4},"\\bigr":{mclass:"mclose",size:1},"\\Bigr":{mclass:"mclose",size:2},"\\biggr":{mclass:"mclose",size:3},"\\Biggr":{mclass:"mclose",size:4},"\\bigm":{mclass:"mrel",size:1},"\\Bigm":{mclass:"mrel",size:2},"\\biggm":{mclass:"mrel",size:3},"\\Biggm":{mclass:"mrel",size:4},"\\big":{mclass:"mord",size:1},"\\Big":{mclass:"mord",size:2},"\\bigg":{mclass:"mord",size:3},"\\Bigg":{mclass:"mord",size:4}},mr=["(","\\lparen",")","\\rparen","[","\\lbrack","]","\\rbrack","\\{","\\lbrace","\\}","\\rbrace","\\lfloor","\\rfloor","\u230a","\u230b","\\lceil","\\rceil","\u2308","\u2309","<",">","\\langle","\u27e8","\\rangle","\u27e9","\\lt","\\gt","\\lvert","\\rvert","\\lVert","\\rVert","\\lgroup","\\rgroup","\u27ee","\u27ef","\\lmoustache","\\rmoustache","\u23b0","\u23b1","/","\\backslash","|","\\vert","\\|","\\Vert","\\uparrow","\\Uparrow","\\downarrow","\\Downarrow","\\updownarrow","\\Updownarrow","."];function cr(t,e){var r=Ne(t);if(r&&c.contains(mr,r.text))return r;throw new o(r?"Invalid delimiter '"+r.text+"' after '"+e.funcName+"'":"Invalid delimiter type '"+t.type+"'",t)}function ur(t){if(!t.body)throw new Error("Bug: The leftright ParseNode wasn't fully parsed.")}_t({type:"delimsizing",names:["\\bigl","\\Bigl","\\biggl","\\Biggl","\\bigr","\\Bigr","\\biggr","\\Biggr","\\bigm","\\Bigm","\\biggm","\\Biggm","\\big","\\Big","\\bigg","\\Bigg"],props:{numArgs:1},handler:function(t,e){var r=cr(e[0],t);return{type:"delimsizing",mode:t.parser.mode,size:hr[t.funcName].size,mclass:hr[t.funcName].mclass,delim:r.text}},htmlBuilder:function(t,e){return"."===t.delim?Dt.makeSpan([t.mclass]):or(t.delim,t.size,e,t.mode,[t.mclass])},mathmlBuilder:function(t){var e=[];"."!==t.delim&&e.push(pe(t.delim,t.mode));var r=new ue.MathNode("mo",e);return"mopen"===t.mclass||"mclose"===t.mclass?r.setAttribute("fence","true"):r.setAttribute("fence","false"),r}}),_t({type:"leftright-right",names:["\\right"],props:{numArgs:1},handler:function(t,e){var r=t.parser.gullet.macros.get("\\current@color");if(r&&"string"!=typeof r)throw new o("\\current@color set to non-string in \\right");return{type:"leftright-right",mode:t.parser.mode,delim:cr(e[0],t).text,color:r}}}),_t({type:"leftright",names:["\\left"],props:{numArgs:1},handler:function(t,e){var r=cr(e[0],t),a=t.parser;++a.leftrightDepth;var n=a.parseExpression(!1);--a.leftrightDepth,a.expect("\\right",!1);var i=Ce(a.parseFunction(),"leftright-right");return{type:"leftright",mode:a.mode,body:n,left:r.text,right:i.delim,rightColor:i.color}},htmlBuilder:function(t,e){ur(t);for(var r,a,n=ee(t.body,e,!0,["mopen","mclose"]),i=0,o=0,s=!1,l=0;l<n.length;l++)n[l].isMiddle?s=!0:(i=Math.max(n[l].height,i),o=Math.max(n[l].depth,o));if(i*=e.sizeMultiplier,o*=e.sizeMultiplier,r="."===t.left?ie(e,["mopen"]):lr(t.left,i,o,e,t.mode,["mopen"]),n.unshift(r),s)for(var h=1;h<n.length;h++){var m=n[h].isMiddle;m&&(n[h]=lr(m.delim,i,o,m.options,t.mode,[]))}if("."===t.right)a=ie(e,["mclose"]);else{var c=t.rightColor?e.withColor(t.rightColor):e;a=lr(t.right,i,o,c,t.mode,["mclose"])}return n.push(a),Dt.makeSpan(["minner"],n,e)},mathmlBuilder:function(t,e){ur(t);var r=ge(t.body,e);if("."!==t.left){var a=new ue.MathNode("mo",[pe(t.left,t.mode)]);a.setAttribute("fence","true"),r.unshift(a)}if("."!==t.right){var n=new ue.MathNode("mo",[pe(t.right,t.mode)]);n.setAttribute("fence","true"),t.rightColor&&n.setAttribute("mathcolor",t.rightColor),r.push(n)}return de(r)}}),_t({type:"middle",names:["\\middle"],props:{numArgs:1},handler:function(t,e){var r=cr(e[0],t);if(!t.parser.leftrightDepth)throw new o("\\middle without preceding \\left",r);return{type:"middle",mode:t.parser.mode,delim:r.text}},htmlBuilder:function(t,e){var r;if("."===t.delim)r=ie(e,[]);else{r=or(t.delim,1,e,t.mode,[]);var a={delim:t.delim,options:e};r.isMiddle=a}return r},mathmlBuilder:function(t,e){var r="\\vert"===t.delim||"|"===t.delim?pe("|","text"):pe(t.delim,t.mode),a=new ue.MathNode("mo",[r]);return a.setAttribute("fence","true"),a.setAttribute("lspace","0.05em"),a.setAttribute("rspace","0.05em"),a}});var pr=function(t,e){var r,a,n=Dt.wrapFragment(oe(t.body,e),e),i=t.label.substr(1),o=e.sizeMultiplier,s=0,l=c.isCharacterBox(t.body);if("sout"===i)(r=Dt.makeSpan(["stretchy","sout"])).height=e.fontMetrics().defaultRuleThickness/o,s=-.5*e.fontMetrics().xHeight;else{/cancel/.test(i)?l||n.classes.push("cancel-pad"):n.classes.push("boxpad");var h=0,m=0;/box/.test(i)?(m=Math.max(e.fontMetrics().fboxrule,e.minRuleThickness),h=e.fontMetrics().fboxsep+("colorbox"===i?0:m)):h=l?.2:0,r=Ae(n,i,h,e),/fbox|boxed|fcolorbox/.test(i)&&(r.style.borderStyle="solid",r.style.borderWidth=m+"em"),s=n.depth+h,t.backgroundColor&&(r.style.backgroundColor=t.backgroundColor,t.borderColor&&(r.style.borderColor=t.borderColor))}return a=t.backgroundColor?Dt.makeVList({positionType:"individualShift",children:[{type:"elem",elem:r,shift:s},{type:"elem",elem:n,shift:0}]},e):Dt.makeVList({positionType:"individualShift",children:[{type:"elem",elem:n,shift:0},{type:"elem",elem:r,shift:s,wrapperClasses:/cancel/.test(i)?["svg-align"]:[]}]},e),/cancel/.test(i)&&(a.height=n.height,a.depth=n.depth),/cancel/.test(i)&&!l?Dt.makeSpan(["mord","cancel-lap"],[a],e):Dt.makeSpan(["mord"],[a],e)},dr=function(t,e){var r=0,a=new ue.MathNode(t.label.indexOf("colorbox")>-1?"mpadded":"menclose",[ve(t.body,e)]);switch(t.label){case"\\cancel":a.setAttribute("notation","updiagonalstrike");break;case"\\bcancel":a.setAttribute("notation","downdiagonalstrike");break;case"\\sout":a.setAttribute("notation","horizontalstrike");break;case"\\fbox":a.setAttribute("notation","box");break;case"\\fcolorbox":case"\\colorbox":if(r=e.fontMetrics().fboxsep*e.fontMetrics().ptPerEm,a.setAttribute("width","+"+2*r+"pt"),a.setAttribute("height","+"+2*r+"pt"),a.setAttribute("lspace",r+"pt"),a.setAttribute("voffset",r+"pt"),"\\fcolorbox"===t.label){var n=Math.max(e.fontMetrics().fboxrule,e.minRuleThickness);a.setAttribute("style","border: "+n+"em solid "+String(t.borderColor))}break;case"\\xcancel":a.setAttribute("notation","updiagonalstrike downdiagonalstrike")}return t.backgroundColor&&a.setAttribute("mathbackground",t.backgroundColor),a};_t({type:"enclose",names:["\\colorbox"],props:{numArgs:2,allowedInText:!0,greediness:3,argTypes:["color","text"]},handler:function(t,e,r){var a=t.parser,n=t.funcName,i=Ce(e[0],"color-token").color,o=e[1];return{type:"enclose",mode:a.mode,label:n,backgroundColor:i,body:o}},htmlBuilder:pr,mathmlBuilder:dr}),_t({type:"enclose",names:["\\fcolorbox"],props:{numArgs:3,allowedInText:!0,greediness:3,argTypes:["color","color","text"]},handler:function(t,e,r){var a=t.parser,n=t.funcName,i=Ce(e[0],"color-token").color,o=Ce(e[1],"color-token").color,s=e[2];return{type:"enclose",mode:a.mode,label:n,backgroundColor:o,borderColor:i,body:s}},htmlBuilder:pr,mathmlBuilder:dr}),_t({type:"enclose",names:["\\fbox"],props:{numArgs:1,argTypes:["hbox"],allowedInText:!0},handler:function(t,e){return{type:"enclose",mode:t.parser.mode,label:"\\fbox",body:e[0]}}}),_t({type:"enclose",names:["\\cancel","\\bcancel","\\xcancel","\\sout"],props:{numArgs:1},handler:function(t,e,r){var a=t.parser,n=t.funcName,i=e[0];return{type:"enclose",mode:a.mode,label:n,body:i}},htmlBuilder:pr,mathmlBuilder:dr});var fr={};function gr(t){for(var e=t.type,r=t.names,a=t.props,n=t.handler,i=t.htmlBuilder,o=t.mathmlBuilder,s={type:e,numArgs:a.numArgs||0,greediness:1,allowedInText:!1,numOptionalArgs:0,handler:n},l=0;l<r.length;++l)fr[r[l]]=s;i&&(Wt[e]=i),o&&(Xt[e]=o)}function xr(t){var e=[];t.consumeSpaces();for(var r=t.fetch().text;"\\hline"===r||"\\hdashline"===r;)t.consume(),e.push("\\hdashline"===r),t.consumeSpaces(),r=t.fetch().text;return e}function vr(t,e,r){var a=e.hskipBeforeAndAfter,n=e.addJot,i=e.cols,s=e.arraystretch,l=e.colSeparationType;if(t.gullet.beginGroup(),t.gullet.macros.set("\\\\","\\cr"),!s){var h=t.gullet.expandMacroAsText("\\arraystretch");if(null==h)s=1;else if(!(s=parseFloat(h))||s<0)throw new o("Invalid \\arraystretch: "+h)}t.gullet.beginGroup();var m=[],c=[m],u=[],p=[];for(p.push(xr(t));;){var d=t.parseExpression(!1,"\\cr");t.gullet.endGroup(),t.gullet.beginGroup(),d={type:"ordgroup",mode:t.mode,body:d},r&&(d={type:"styling",mode:t.mode,style:r,body:[d]}),m.push(d);var f=t.fetch().text;if("&"===f)t.consume();else{if("\\end"===f){1===m.length&&"styling"===d.type&&0===d.body[0].body.length&&c.pop(),p.length<c.length+1&&p.push([]);break}if("\\cr"!==f)throw new o("Expected & or \\\\ or \\cr or \\end",t.nextToken);var g=Ce(t.parseFunction(),"cr");u.push(g.size),p.push(xr(t)),m=[],c.push(m)}}return t.gullet.endGroup(),t.gullet.endGroup(),{type:"array",mode:t.mode,addJot:n,arraystretch:s,body:c,cols:i,rowGaps:u,hskipBeforeAndAfter:a,hLinesBeforeRow:p,colSeparationType:l}}function br(t){return"d"===t.substr(0,1)?"display":"text"}var yr=function(t,e){var r,a,n=t.body.length,i=t.hLinesBeforeRow,s=0,l=new Array(n),h=[],m=Math.max(e.fontMetrics().arrayRuleWidth,e.minRuleThickness),u=1/e.fontMetrics().ptPerEm,p=5*u;t.colSeparationType&&"small"===t.colSeparationType&&(p=e.havingStyle(w.SCRIPT).sizeMultiplier/e.sizeMultiplier*.2778);var d=12*u,f=3*u,g=t.arraystretch*d,x=.7*g,v=.3*g,b=0;function y(t){for(var e=0;e<t.length;++e)e>0&&(b+=.25),h.push({pos:b,isDashed:t[e]})}for(y(i[0]),r=0;r<t.body.length;++r){var k=t.body[r],S=x,M=v;s<k.length&&(s=k.length);var z=new Array(k.length);for(a=0;a<k.length;++a){var A=oe(k[a],e);M<A.depth&&(M=A.depth),S<A.height&&(S=A.height),z[a]=A}var T=t.rowGaps[r],B=0;T&&(B=Tt(T,e))>0&&(M<(B+=v)&&(M=B),B=0),t.addJot&&(M+=f),z.height=S,z.depth=M,b+=S,z.pos=b,b+=M+B,l[r]=z,y(i[r+1])}var C,q,N=b/2+e.fontMetrics().axisHeight,I=t.cols||[],O=[];for(a=0,q=0;a<s||q<I.length;++a,++q){for(var R=I[q]||{},E=!0;"separator"===R.type;){if(E||((C=Dt.makeSpan(["arraycolsep"],[])).style.width=e.fontMetrics().doubleRuleSep+"em",O.push(C)),"|"!==R.separator&&":"!==R.separator)throw new o("Invalid separator type: "+R.separator);var L="|"===R.separator?"solid":"dashed",P=Dt.makeSpan(["vertical-separator"],[],e);P.style.height=b+"em",P.style.borderRightWidth=m+"em",P.style.borderRightStyle=L,P.style.margin="0 -"+m/2+"em",P.style.verticalAlign=-(b-N)+"em",O.push(P),R=I[++q]||{},E=!1}if(!(a>=s)){var D=void 0;(a>0||t.hskipBeforeAndAfter)&&0!==(D=c.deflt(R.pregap,p))&&((C=Dt.makeSpan(["arraycolsep"],[])).style.width=D+"em",O.push(C));var H=[];for(r=0;r<n;++r){var F=l[r],V=F[a];if(V){var U=F.pos-N;V.depth=F.depth,V.height=F.height,H.push({type:"elem",elem:V,shift:U})}}H=Dt.makeVList({positionType:"individualShift",children:H},e),H=Dt.makeSpan(["col-align-"+(R.align||"c")],[H]),O.push(H),(a<s-1||t.hskipBeforeAndAfter)&&0!==(D=c.deflt(R.postgap,p))&&((C=Dt.makeSpan(["arraycolsep"],[])).style.width=D+"em",O.push(C))}}if(l=Dt.makeSpan(["mtable"],O),h.length>0){for(var G=Dt.makeLineSpan("hline",e,m),Y=Dt.makeLineSpan("hdashline",e,m),W=[{type:"elem",elem:l,shift:0}];h.length>0;){var X=h.pop(),_=X.pos-N;X.isDashed?W.push({type:"elem",elem:Y,shift:_}):W.push({type:"elem",elem:G,shift:_})}l=Dt.makeVList({positionType:"individualShift",children:W},e)}return Dt.makeSpan(["mord"],[l],e)},wr={c:"center ",l:"left ",r:"right "},kr=function(t,e){var r=new ue.MathNode("mtable",t.body.map(function(t){return new ue.MathNode("mtr",t.map(function(t){return new ue.MathNode("mtd",[ve(t,e)])}))})),a=.5===t.arraystretch?.1:.16+t.arraystretch-1+(t.addJot?.09:0);r.setAttribute("rowspacing",a+"em");var n="",i="";if(t.cols&&t.cols.length>0){var o=t.cols,s="",l=!1,h=0,m=o.length;"separator"===o[0].type&&(n+="top ",h=1),"separator"===o[o.length-1].type&&(n+="bottom ",m-=1);for(var c=h;c<m;c++)"align"===o[c].type?(i+=wr[o[c].align],l&&(s+="none "),l=!0):"separator"===o[c].type&&l&&(s+="|"===o[c].separator?"solid ":"dashed ",l=!1);r.setAttribute("columnalign",i.trim()),/[sd]/.test(s)&&r.setAttribute("columnlines",s.trim())}if("align"===t.colSeparationType){for(var u=t.cols||[],p="",d=1;d<u.length;d++)p+=d%2?"0em ":"1em ";r.setAttribute("columnspacing",p.trim())}else"alignat"===t.colSeparationType?r.setAttribute("columnspacing","0em"):"small"===t.colSeparationType?r.setAttribute("columnspacing","0.2778em"):r.setAttribute("columnspacing","1em");var f="",g=t.hLinesBeforeRow;n+=g[0].length>0?"left ":"",n+=g[g.length-1].length>0?"right ":"";for(var x=1;x<g.length-1;x++)f+=0===g[x].length?"none ":g[x][0]?"dashed ":"solid ";return/[sd]/.test(f)&&r.setAttribute("rowlines",f.trim()),""!==n&&(r=new ue.MathNode("menclose",[r])).setAttribute("notation",n.trim()),t.arraystretch&&t.arraystretch<1&&(r=new ue.MathNode("mstyle",[r])).setAttribute("scriptlevel","1"),r},Sr=function(t,e){var r,a=[],n=vr(t.parser,{cols:a,addJot:!0},"display"),i=0,s={type:"ordgroup",mode:t.mode,body:[]};if(e[0]&&"ordgroup"===e[0].type){for(var l="",h=0;h<e[0].body.length;h++){l+=Ce(e[0].body[h],"textord").text}r=Number(l),i=2*r}var m=!i;n.body.forEach(function(t){for(var e=1;e<t.length;e+=2){var a=Ce(t[e],"styling");Ce(a.body[0],"ordgroup").body.unshift(s)}if(m)i<t.length&&(i=t.length);else{var n=t.length/2;if(r<n)throw new o("Too many math in a row: expected "+r+", but got "+n,t[0])}});for(var c=0;c<i;++c){var u="r",p=0;c%2==1?u="l":c>0&&m&&(p=1),a[c]={type:"align",align:u,pregap:p,postgap:0}}return n.colSeparationType=m?"align":"alignat",n};gr({type:"array",names:["array","darray"],props:{numArgs:1},handler:function(t,e){var r={cols:(Ne(e[0])?[e[0]]:Ce(e[0],"ordgroup").body).map(function(t){var e=qe(t).text;if(-1!=="lcr".indexOf(e))return{type:"align",align:e};if("|"===e)return{type:"separator",separator:"|"};if(":"===e)return{type:"separator",separator:":"};throw new o("Unknown column alignment: "+e,t)}),hskipBeforeAndAfter:!0};return vr(t.parser,r,br(t.envName))},htmlBuilder:yr,mathmlBuilder:kr}),gr({type:"array",names:["matrix","pmatrix","bmatrix","Bmatrix","vmatrix","Vmatrix"],props:{numArgs:0},handler:function(t){var e={matrix:null,pmatrix:["(",")"],bmatrix:["[","]"],Bmatrix:["\\{","\\}"],vmatrix:["|","|"],Vmatrix:["\\Vert","\\Vert"]}[t.envName],r=vr(t.parser,{hskipBeforeAndAfter:!1},br(t.envName));return e?{type:"leftright",mode:t.mode,body:[r],left:e[0],right:e[1],rightColor:void 0}:r},htmlBuilder:yr,mathmlBuilder:kr}),gr({type:"array",names:["smallmatrix"],props:{numArgs:0},handler:function(t){var e=vr(t.parser,{arraystretch:.5},"script");return e.colSeparationType="small",e},htmlBuilder:yr,mathmlBuilder:kr}),gr({type:"array",names:["subarray"],props:{numArgs:1},handler:function(t,e){var r=(Ne(e[0])?[e[0]]:Ce(e[0],"ordgroup").body).map(function(t){var e=qe(t).text;if(-1!=="lc".indexOf(e))return{type:"align",align:e};throw new o("Unknown column alignment: "+e,t)});if(r.length>1)throw new o("{subarray} can contain only one column");var a={cols:r,hskipBeforeAndAfter:!1,arraystretch:.5};if((a=vr(t.parser,a,"script")).body.length>0&&a.body[0].length>1)throw new o("{subarray} can contain only one column");return a},htmlBuilder:yr,mathmlBuilder:kr}),gr({type:"array",names:["cases","dcases","rcases","drcases"],props:{numArgs:0},handler:function(t){var e=vr(t.parser,{arraystretch:1.2,cols:[{type:"align",align:"l",pregap:0,postgap:1},{type:"align",align:"l",pregap:0,postgap:0}]},br(t.envName));return{type:"leftright",mode:t.mode,body:[e],left:t.envName.indexOf("r")>-1?".":"\\{",right:t.envName.indexOf("r")>-1?"\\}":".",rightColor:void 0}},htmlBuilder:yr,mathmlBuilder:kr}),gr({type:"array",names:["aligned"],props:{numArgs:0},handler:Sr,htmlBuilder:yr,mathmlBuilder:kr}),gr({type:"array",names:["gathered"],props:{numArgs:0},handler:function(t){return vr(t.parser,{cols:[{type:"align",align:"c"}],addJot:!0},"display")},htmlBuilder:yr,mathmlBuilder:kr}),gr({type:"array",names:["alignedat"],props:{numArgs:1},handler:Sr,htmlBuilder:yr,mathmlBuilder:kr}),_t({type:"text",names:["\\hline","\\hdashline"],props:{numArgs:0,allowedInText:!0,allowedInMath:!0},handler:function(t,e){throw new o(t.funcName+" valid only within array environment")}});var Mr=fr;_t({type:"environment",names:["\\begin","\\end"],props:{numArgs:1,argTypes:["text"]},handler:function(t,e){var r=t.parser,a=t.funcName,n=e[0];if("ordgroup"!==n.type)throw new o("Invalid environment name",n);for(var i="",s=0;s<n.body.length;++s)i+=Ce(n.body[s],"textord").text;if("\\begin"===a){if(!Mr.hasOwnProperty(i))throw new o("No such environment: "+i,n);var l=Mr[i],h=r.parseArguments("\\begin{"+i+"}",l),m=h.args,c=h.optArgs,u={mode:r.mode,envName:i,parser:r},p=l.handler(u,m,c);r.expect("\\end",!1);var d=r.nextToken,f=Ce(r.parseFunction(),"environment");if(f.name!==i)throw new o("Mismatch: \\begin{"+i+"} matched by \\end{"+f.name+"}",d);return p}return{type:"environment",mode:r.mode,name:i,nameGroup:n}}});var zr=Dt.makeSpan;function Ar(t,e){var r=ee(t.body,e,!0);return zr([t.mclass],r,e)}function Tr(t,e){var r,a=ge(t.body,e);return"minner"===t.mclass?ue.newDocumentFragment(a):("mord"===t.mclass?t.isCharacterBox?(r=a[0]).type="mi":r=new ue.MathNode("mi",a):(t.isCharacterBox?(r=a[0]).type="mo":r=new ue.MathNode("mo",a),"mbin"===t.mclass?(r.attributes.lspace="0.22em",r.attributes.rspace="0.22em"):"mpunct"===t.mclass?(r.attributes.lspace="0em",r.attributes.rspace="0.17em"):"mopen"!==t.mclass&&"mclose"!==t.mclass||(r.attributes.lspace="0em",r.attributes.rspace="0em")),r)}_t({type:"mclass",names:["\\mathord","\\mathbin","\\mathrel","\\mathopen","\\mathclose","\\mathpunct","\\mathinner"],props:{numArgs:1},handler:function(t,e){var r=t.parser,a=t.funcName,n=e[0];return{type:"mclass",mode:r.mode,mclass:"m"+a.substr(5),body:$t(n),isCharacterBox:c.isCharacterBox(n)}},htmlBuilder:Ar,mathmlBuilder:Tr});var Br=function(t){var e="ordgroup"===t.type&&t.body.length?t.body[0]:t;return"atom"!==e.type||"bin"!==e.family&&"rel"!==e.family?"mord":"m"+e.family};_t({type:"mclass",names:["\\@binrel"],props:{numArgs:2},handler:function(t,e){return{type:"mclass",mode:t.parser.mode,mclass:Br(e[0]),body:[e[1]],isCharacterBox:c.isCharacterBox(e[1])}}}),_t({type:"mclass",names:["\\stackrel","\\overset","\\underset"],props:{numArgs:2},handler:function(t,e){var r,a=t.parser,n=t.funcName,i=e[1],o=e[0];r="\\stackrel"!==n?Br(i):"mrel";var s={type:"op",mode:i.mode,limits:!0,alwaysHandleSupSub:!0,parentIsSupSub:!1,symbol:!1,suppressBaseShift:"\\stackrel"!==n,body:$t(i)},l={type:"supsub",mode:o.mode,base:s,sup:"\\underset"===n?null:o,sub:"\\underset"===n?o:null};return{type:"mclass",mode:a.mode,mclass:r,body:[l],isCharacterBox:c.isCharacterBox(l)}},htmlBuilder:Ar,mathmlBuilder:Tr});var Cr=function(t,e){var r=t.font,a=e.withFont(r);return oe(t.body,a)},qr=function(t,e){var r=t.font,a=e.withFont(r);return ve(t.body,a)},Nr={"\\Bbb":"\\mathbb","\\bold":"\\mathbf","\\frak":"\\mathfrak","\\bm":"\\boldsymbol"};_t({type:"font",names:["\\mathrm","\\mathit","\\mathbf","\\mathnormal","\\mathbb","\\mathcal","\\mathfrak","\\mathscr","\\mathsf","\\mathtt","\\Bbb","\\bold","\\frak"],props:{numArgs:1,greediness:2},handler:function(t,e){var r=t.parser,a=t.funcName,n=e[0],i=a;return i in Nr&&(i=Nr[i]),{type:"font",mode:r.mode,font:i.slice(1),body:n}},htmlBuilder:Cr,mathmlBuilder:qr}),_t({type:"mclass",names:["\\boldsymbol","\\bm"],props:{numArgs:1,greediness:2},handler:function(t,e){var r=t.parser,a=e[0],n=c.isCharacterBox(a);return{type:"mclass",mode:r.mode,mclass:Br(a),body:[{type:"font",mode:r.mode,font:"boldsymbol",body:a}],isCharacterBox:n}}}),_t({type:"font",names:["\\rm","\\sf","\\tt","\\bf","\\it","\\cal"],props:{numArgs:0,allowedInText:!0},handler:function(t,e){var r=t.parser,a=t.funcName,n=t.breakOnTokenText,i=r.mode,o=r.parseExpression(!0,n);return{type:"font",mode:i,font:"math"+a.slice(1),body:{type:"ordgroup",mode:r.mode,body:o}}},htmlBuilder:Cr,mathmlBuilder:qr});var Ir=function(t,e){var r=e;return"display"===t?r=r.id>=w.SCRIPT.id?r.text():w.DISPLAY:"text"===t&&r.size===w.DISPLAY.size?r=w.TEXT:"script"===t?r=w.SCRIPT:"scriptscript"===t&&(r=w.SCRIPTSCRIPT),r},Or=function(t,e){var r,a=Ir(t.size,e.style),n=a.fracNum(),i=a.fracDen();r=e.havingStyle(n);var o=oe(t.numer,r,e);if(t.continued){var s=8.5/e.fontMetrics().ptPerEm,l=3.5/e.fontMetrics().ptPerEm;o.height=o.height<s?s:o.height,o.depth=o.depth<l?l:o.depth}r=e.havingStyle(i);var h,m,c,u,p,d,f,g,x,v,b=oe(t.denom,r,e);if(t.hasBarLine?(t.barSize?(m=Tt(t.barSize,e),h=Dt.makeLineSpan("frac-line",e,m)):h=Dt.makeLineSpan("frac-line",e),m=h.height,c=h.height):(h=null,m=0,c=e.fontMetrics().defaultRuleThickness),a.size===w.DISPLAY.size||"display"===t.size?(u=e.fontMetrics().num1,p=m>0?3*c:7*c,d=e.fontMetrics().denom1):(m>0?(u=e.fontMetrics().num2,p=c):(u=e.fontMetrics().num3,p=3*c),d=e.fontMetrics().denom2),h){var y=e.fontMetrics().axisHeight;u-o.depth-(y+.5*m)<p&&(u+=p-(u-o.depth-(y+.5*m))),y-.5*m-(b.height-d)<p&&(d+=p-(y-.5*m-(b.height-d)));var k=-(y-.5*m);f=Dt.makeVList({positionType:"individualShift",children:[{type:"elem",elem:b,shift:d},{type:"elem",elem:h,shift:k},{type:"elem",elem:o,shift:-u}]},e)}else{var S=u-o.depth-(b.height-d);S<p&&(u+=.5*(p-S),d+=.5*(p-S)),f=Dt.makeVList({positionType:"individualShift",children:[{type:"elem",elem:b,shift:d},{type:"elem",elem:o,shift:-u}]},e)}return r=e.havingStyle(a),f.height*=r.sizeMultiplier/e.sizeMultiplier,f.depth*=r.sizeMultiplier/e.sizeMultiplier,g=a.size===w.DISPLAY.size?e.fontMetrics().delim1:e.fontMetrics().delim2,x=null==t.leftDelim?ie(e,["mopen"]):sr(t.leftDelim,g,!0,e.havingStyle(a),t.mode,["mopen"]),v=t.continued?Dt.makeSpan([]):null==t.rightDelim?ie(e,["mclose"]):sr(t.rightDelim,g,!0,e.havingStyle(a),t.mode,["mclose"]),Dt.makeSpan(["mord"].concat(r.sizingClasses(e)),[x,Dt.makeSpan(["mfrac"],[f]),v],e)},Rr=function(t,e){var r=new ue.MathNode("mfrac",[ve(t.numer,e),ve(t.denom,e)]);if(t.hasBarLine){if(t.barSize){var a=Tt(t.barSize,e);r.setAttribute("linethickness",a+"em")}}else r.setAttribute("linethickness","0px");var n=Ir(t.size,e.style);if(n.size!==e.style.size){r=new ue.MathNode("mstyle",[r]);var i=n.size===w.DISPLAY.size?"true":"false";r.setAttribute("displaystyle",i),r.setAttribute("scriptlevel","0")}if(null!=t.leftDelim||null!=t.rightDelim){var o=[];if(null!=t.leftDelim){var s=new ue.MathNode("mo",[new ue.TextNode(t.leftDelim.replace("\\",""))]);s.setAttribute("fence","true"),o.push(s)}if(o.push(r),null!=t.rightDelim){var l=new ue.MathNode("mo",[new ue.TextNode(t.rightDelim.replace("\\",""))]);l.setAttribute("fence","true"),o.push(l)}return de(o)}return r};_t({type:"genfrac",names:["\\cfrac","\\dfrac","\\frac","\\tfrac","\\dbinom","\\binom","\\tbinom","\\\\atopfrac","\\\\bracefrac","\\\\brackfrac"],props:{numArgs:2,greediness:2},handler:function(t,e){var r,a=t.parser,n=t.funcName,i=e[0],o=e[1],s=null,l=null,h="auto";switch(n){case"\\cfrac":case"\\dfrac":case"\\frac":case"\\tfrac":r=!0;break;case"\\\\atopfrac":r=!1;break;case"\\dbinom":case"\\binom":case"\\tbinom":r=!1,s="(",l=")";break;case"\\\\bracefrac":r=!1,s="\\{",l="\\}";break;case"\\\\brackfrac":r=!1,s="[",l="]";break;default:throw new Error("Unrecognized genfrac command")}switch(n){case"\\cfrac":case"\\dfrac":case"\\dbinom":h="display";break;case"\\tfrac":case"\\tbinom":h="text"}return{type:"genfrac",mode:a.mode,continued:"\\cfrac"===n,numer:i,denom:o,hasBarLine:r,leftDelim:s,rightDelim:l,size:h,barSize:null}},htmlBuilder:Or,mathmlBuilder:Rr}),_t({type:"infix",names:["\\over","\\choose","\\atop","\\brace","\\brack"],props:{numArgs:0,infix:!0},handler:function(t){var e,r=t.parser,a=t.funcName,n=t.token;switch(a){case"\\over":e="\\frac";break;case"\\choose":e="\\binom";break;case"\\atop":e="\\\\atopfrac";break;case"\\brace":e="\\\\bracefrac";break;case"\\brack":e="\\\\brackfrac";break;default:throw new Error("Unrecognized infix genfrac command")}return{type:"infix",mode:r.mode,replaceWith:e,token:n}}});var Er=["display","text","script","scriptscript"],Lr=function(t){var e=null;return t.length>0&&(e="."===(e=t)?null:e),e};_t({type:"genfrac",names:["\\genfrac"],props:{numArgs:6,greediness:6,argTypes:["math","math","size","text","math","math"]},handler:function(t,e){var r,a=t.parser,n=e[4],i=e[5],o="atom"===e[0].type&&"open"===e[0].family?Lr(e[0].text):null,s="atom"===e[1].type&&"close"===e[1].family?Lr(e[1].text):null,l=Ce(e[2],"size"),h=null;r=!!l.isBlank||(h=l.value).number>0;var m="auto",c=e[3];if("ordgroup"===c.type){if(c.body.length>0){var u=Ce(c.body[0],"textord");m=Er[Number(u.text)]}}else c=Ce(c,"textord"),m=Er[Number(c.text)];return{type:"genfrac",mode:a.mode,numer:n,denom:i,continued:!1,hasBarLine:r,barSize:h,leftDelim:o,rightDelim:s,size:m}},htmlBuilder:Or,mathmlBuilder:Rr}),_t({type:"infix",names:["\\above"],props:{numArgs:1,argTypes:["size"],infix:!0},handler:function(t,e){var r=t.parser,a=(t.funcName,t.token);return{type:"infix",mode:r.mode,replaceWith:"\\\\abovefrac",size:Ce(e[0],"size").value,token:a}}}),_t({type:"genfrac",names:["\\\\abovefrac"],props:{numArgs:3,argTypes:["math","size","math"]},handler:function(t,e){var r=t.parser,a=(t.funcName,e[0]),n=function(t){if(!t)throw new Error("Expected non-null, but got "+String(t));return t}(Ce(e[1],"infix").size),i=e[2],o=n.number>0;return{type:"genfrac",mode:r.mode,numer:a,denom:i,continued:!1,hasBarLine:o,barSize:n,leftDelim:null,rightDelim:null,size:"auto"}},htmlBuilder:Or,mathmlBuilder:Rr});var Pr=function(t,e){var r,a,n=e.style;"supsub"===t.type?(r=t.sup?oe(t.sup,e.havingStyle(n.sup()),e):oe(t.sub,e.havingStyle(n.sub()),e),a=Ce(t.base,"horizBrace")):a=Ce(t,"horizBrace");var i,o=oe(a.base,e.havingBaseStyle(w.DISPLAY)),s=Be(a,e);if(a.isOver?(i=Dt.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:o},{type:"kern",size:.1},{type:"elem",elem:s}]},e)).children[0].children[0].children[1].classes.push("svg-align"):(i=Dt.makeVList({positionType:"bottom",positionData:o.depth+.1+s.height,children:[{type:"elem",elem:s},{type:"kern",size:.1},{type:"elem",elem:o}]},e)).children[0].children[0].children[0].classes.push("svg-align"),r){var l=Dt.makeSpan(["mord",a.isOver?"mover":"munder"],[i],e);i=a.isOver?Dt.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:l},{type:"kern",size:.2},{type:"elem",elem:r}]},e):Dt.makeVList({positionType:"bottom",positionData:l.depth+.2+r.height+r.depth,children:[{type:"elem",elem:r},{type:"kern",size:.2},{type:"elem",elem:l}]},e)}return Dt.makeSpan(["mord",a.isOver?"mover":"munder"],[i],e)};_t({type:"horizBrace",names:["\\overbrace","\\underbrace"],props:{numArgs:1},handler:function(t,e){var r=t.parser,a=t.funcName;return{type:"horizBrace",mode:r.mode,label:a,isOver:/^\\over/.test(a),base:e[0]}},htmlBuilder:Pr,mathmlBuilder:function(t,e){var r=Te(t.label);return new ue.MathNode(t.isOver?"mover":"munder",[ve(t.base,e),r])}}),_t({type:"href",names:["\\href"],props:{numArgs:2,argTypes:["url","original"],allowedInText:!0},handler:function(t,e){var r=t.parser,a=e[1],n=Ce(e[0],"url").url;return r.settings.isTrusted({command:"\\href",url:n})?{type:"href",mode:r.mode,href:n,body:$t(a)}:r.formatUnsupportedCmd("\\href")},htmlBuilder:function(t,e){var r=ee(t.body,e,!1);return Dt.makeAnchor(t.href,[],r,e)},mathmlBuilder:function(t,e){var r=xe(t.body,e);return r instanceof me||(r=new me("mrow",[r])),r.setAttribute("href",t.href),r}}),_t({type:"href",names:["\\url"],props:{numArgs:1,argTypes:["url"],allowedInText:!0},handler:function(t,e){var r=t.parser,a=Ce(e[0],"url").url;if(!r.settings.isTrusted({command:"\\url",url:a}))return r.formatUnsupportedCmd("\\url");for(var n=[],i=0;i<a.length;i++){var o=a[i];"~"===o&&(o="\\textasciitilde"),n.push({type:"textord",mode:"text",text:o})}var s={type:"text",mode:r.mode,font:"\\texttt",body:n};return{type:"href",mode:r.mode,href:a,body:$t(s)}}}),_t({type:"html",names:["\\htmlClass","\\htmlId","\\htmlStyle","\\htmlData"],props:{numArgs:2,argTypes:["raw","original"],allowedInText:!0},handler:function(t,e){var r,a=t.parser,n=t.funcName,i=(t.token,Ce(e[0],"raw").string),s=e[1];a.settings.strict&&a.settings.reportNonstrict("htmlExtension","HTML extension is disabled on strict mode");var l={};switch(n){case"\\htmlClass":l.class=i,r={command:"\\htmlClass",class:i};break;case"\\htmlId":l.id=i,r={command:"\\htmlId",id:i};break;case"\\htmlStyle":l.style=i,r={command:"\\htmlStyle",style:i};break;case"\\htmlData":for(var h=i.split(","),m=0;m<h.length;m++){var c=h[m].split("=");if(2!==c.length)throw new o("Error parsing key-value for \\htmlData");l["data-"+c[0].trim()]=c[1].trim()}r={command:"\\htmlData",attributes:l};break;default:throw new Error("Unrecognized html command")}return a.settings.isTrusted(r)?{type:"html",mode:a.mode,attributes:l,body:$t(s)}:a.formatUnsupportedCmd(n)},htmlBuilder:function(t,e){var r=ee(t.body,e,!1),a=["enclosing"];t.attributes.class&&a.push.apply(a,t.attributes.class.trim().split(/\s+/));var n=Dt.makeSpan(a,r,e);for(var i in t.attributes)"class"!==i&&t.attributes.hasOwnProperty(i)&&n.setAttribute(i,t.attributes[i]);return n},mathmlBuilder:function(t,e){return xe(t.body,e)}}),_t({type:"htmlmathml",names:["\\html@mathml"],props:{numArgs:2,allowedInText:!0},handler:function(t,e){return{type:"htmlmathml",mode:t.parser.mode,html:$t(e[0]),mathml:$t(e[1])}},htmlBuilder:function(t,e){var r=ee(t.html,e,!1);return Dt.makeFragment(r)},mathmlBuilder:function(t,e){return xe(t.mathml,e)}});var Dr=function(t){if(/^[-+]? *(\d+(\.\d*)?|\.\d+)$/.test(t))return{number:+t,unit:"bp"};var e=/([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(t);if(!e)throw new o("Invalid size: '"+t+"' in \\includegraphics");var r={number:+(e[1]+e[2]),unit:e[3]};if(!At(r))throw new o("Invalid unit: '"+r.unit+"' in \\includegraphics.");return r};_t({type:"includegraphics",names:["\\includegraphics"],props:{numArgs:1,numOptionalArgs:1,argTypes:["raw","url"],allowedInText:!1},handler:function(t,e,r){var a=t.parser,n={number:0,unit:"em"},i={number:.9,unit:"em"},s={number:0,unit:"em"},l="";if(r[0])for(var h=Ce(r[0],"raw").string.split(","),m=0;m<h.length;m++){var c=h[m].split("=");if(2===c.length){var u=c[1].trim();switch(c[0].trim()){case"alt":l=u;break;case"width":n=Dr(u);break;case"height":i=Dr(u);break;case"totalheight":s=Dr(u);break;default:throw new o("Invalid key: '"+c[0]+"' in \\includegraphics.")}}}var p=Ce(e[0],"url").url;return""===l&&(l=(l=(l=p).replace(/^.*[\\/]/,"")).substring(0,l.lastIndexOf("."))),a.settings.isTrusted({command:"\\includegraphics",url:p})?{type:"includegraphics",mode:a.mode,alt:l,width:n,height:i,totalheight:s,src:p}:a.formatUnsupportedCmd("\\includegraphics")},htmlBuilder:function(t,e){var r=Tt(t.height,e),a=0;t.totalheight.number>0&&(a=Tt(t.totalheight,e)-r,a=Number(a.toFixed(2)));var n=0;t.width.number>0&&(n=Tt(t.width,e));var i={height:r+a+"em"};n>0&&(i.width=n+"em"),a>0&&(i.verticalAlign=-a+"em");var o=new O(t.src,t.alt,i);return o.height=r,o.depth=a,o},mathmlBuilder:function(t,e){var r=new ue.MathNode("mglyph",[]);r.setAttribute("alt",t.alt);var a=Tt(t.height,e),n=0;if(t.totalheight.number>0&&(n=(n=Tt(t.totalheight,e)-a).toFixed(2),r.setAttribute("valign","-"+n+"em")),r.setAttribute("height",a+n+"em"),t.width.number>0){var i=Tt(t.width,e);r.setAttribute("width",i+"em")}return r.setAttribute("src",t.src),r}}),_t({type:"kern",names:["\\kern","\\mkern","\\hskip","\\mskip"],props:{numArgs:1,argTypes:["size"],allowedInText:!0},handler:function(t,e){var r=t.parser,a=t.funcName,n=Ce(e[0],"size");if(r.settings.strict){var i="m"===a[1],o="mu"===n.value.unit;i?(o||r.settings.reportNonstrict("mathVsTextUnits","LaTeX's "+a+" supports only mu units, not "+n.value.unit+" units"),"math"!==r.mode&&r.settings.reportNonstrict("mathVsTextUnits","LaTeX's "+a+" works only in math mode")):o&&r.settings.reportNonstrict("mathVsTextUnits","LaTeX's "+a+" doesn't support mu units")}return{type:"kern",mode:r.mode,dimension:n.value}},htmlBuilder:function(t,e){return Dt.makeGlue(t.dimension,e)},mathmlBuilder:function(t,e){var r=Tt(t.dimension,e);return new ue.SpaceNode(r)}}),_t({type:"lap",names:["\\mathllap","\\mathrlap","\\mathclap"],props:{numArgs:1,allowedInText:!0},handler:function(t,e){var r=t.parser,a=t.funcName,n=e[0];return{type:"lap",mode:r.mode,alignment:a.slice(5),body:n}},htmlBuilder:function(t,e){var r;"clap"===t.alignment?(r=Dt.makeSpan([],[oe(t.body,e)]),r=Dt.makeSpan(["inner"],[r],e)):r=Dt.makeSpan(["inner"],[oe(t.body,e)]);var a=Dt.makeSpan(["fix"],[]),n=Dt.makeSpan([t.alignment],[r,a],e),i=Dt.makeSpan(["strut"]);return i.style.height=n.height+n.depth+"em",i.style.verticalAlign=-n.depth+"em",n.children.unshift(i),n=Dt.makeSpan(["thinbox"],[n],e),Dt.makeSpan(["mord","vbox"],[n],e)},mathmlBuilder:function(t,e){var r=new ue.MathNode("mpadded",[ve(t.body,e)]);if("rlap"!==t.alignment){var a="llap"===t.alignment?"-1":"-0.5";r.setAttribute("lspace",a+"width")}return r.setAttribute("width","0px"),r}}),_t({type:"styling",names:["\\(","$"],props:{numArgs:0,allowedInText:!0,allowedInMath:!1},handler:function(t,e){var r=t.funcName,a=t.parser,n=a.mode;a.switchMode("math");var i="\\("===r?"\\)":"$",o=a.parseExpression(!1,i);return a.expect(i),a.switchMode(n),{type:"styling",mode:a.mode,style:"text",body:o}}}),_t({type:"text",names:["\\)","\\]"],props:{numArgs:0,allowedInText:!0,allowedInMath:!1},handler:function(t,e){throw new o("Mismatched "+t.funcName)}});var Hr=function(t,e){switch(e.style.size){case w.DISPLAY.size:return t.display;case w.TEXT.size:return t.text;case w.SCRIPT.size:return t.script;case w.SCRIPTSCRIPT.size:return t.scriptscript;default:return t.text}};_t({type:"mathchoice",names:["\\mathchoice"],props:{numArgs:4},handler:function(t,e){return{type:"mathchoice",mode:t.parser.mode,display:$t(e[0]),text:$t(e[1]),script:$t(e[2]),scriptscript:$t(e[3])}},htmlBuilder:function(t,e){var r=Hr(t,e),a=ee(r,e,!1);return Dt.makeFragment(a)},mathmlBuilder:function(t,e){var r=Hr(t,e);return xe(r,e)}});var Fr=function(t,e,r,a,n,i,o){var s,l,h;if(t=Dt.makeSpan([],[t]),e){var m=oe(e,a.havingStyle(n.sup()),a);l={elem:m,kern:Math.max(a.fontMetrics().bigOpSpacing1,a.fontMetrics().bigOpSpacing3-m.depth)}}if(r){var c=oe(r,a.havingStyle(n.sub()),a);s={elem:c,kern:Math.max(a.fontMetrics().bigOpSpacing2,a.fontMetrics().bigOpSpacing4-c.height)}}if(l&&s){var u=a.fontMetrics().bigOpSpacing5+s.elem.height+s.elem.depth+s.kern+t.depth+o;h=Dt.makeVList({positionType:"bottom",positionData:u,children:[{type:"kern",size:a.fontMetrics().bigOpSpacing5},{type:"elem",elem:s.elem,marginLeft:-i+"em"},{type:"kern",size:s.kern},{type:"elem",elem:t},{type:"kern",size:l.kern},{type:"elem",elem:l.elem,marginLeft:i+"em"},{type:"kern",size:a.fontMetrics().bigOpSpacing5}]},a)}else if(s){var p=t.height-o;h=Dt.makeVList({positionType:"top",positionData:p,children:[{type:"kern",size:a.fontMetrics().bigOpSpacing5},{type:"elem",elem:s.elem,marginLeft:-i+"em"},{type:"kern",size:s.kern},{type:"elem",elem:t}]},a)}else{if(!l)return t;var d=t.depth+o;h=Dt.makeVList({positionType:"bottom",positionData:d,children:[{type:"elem",elem:t},{type:"kern",size:l.kern},{type:"elem",elem:l.elem,marginLeft:i+"em"},{type:"kern",size:a.fontMetrics().bigOpSpacing5}]},a)}return Dt.makeSpan(["mop","op-limits"],[h],a)},Vr=["\\smallint"],Ur=function(t,e){var r,a,n,i=!1;"supsub"===t.type?(r=t.sup,a=t.sub,n=Ce(t.base,"op"),i=!0):n=Ce(t,"op");var o,s=e.style,l=!1;if(s.size===w.DISPLAY.size&&n.symbol&&!c.contains(Vr,n.name)&&(l=!0),n.symbol){var h=l?"Size2-Regular":"Size1-Regular",m="";if("\\oiint"!==n.name&&"\\oiiint"!==n.name||(m=n.name.substr(1),n.name="oiint"===m?"\\iint":"\\iiint"),o=Dt.makeSymbol(n.name,h,"math",e,["mop","op-symbol",l?"large-op":"small-op"]),m.length>0){var u=o.italic,p=Dt.staticSvg(m+"Size"+(l?"2":"1"),e);o=Dt.makeVList({positionType:"individualShift",children:[{type:"elem",elem:o,shift:0},{type:"elem",elem:p,shift:l?.08:0}]},e),n.name="\\"+m,o.classes.unshift("mop"),o.italic=u}}else if(n.body){var d=ee(n.body,e,!0);1===d.length&&d[0]instanceof E?(o=d[0]).classes[0]="mop":o=Dt.makeSpan(["mop"],Dt.tryCombineChars(d),e)}else{for(var f=[],g=1;g<n.name.length;g++)f.push(Dt.mathsym(n.name[g],n.mode,e));o=Dt.makeSpan(["mop"],f,e)}var x=0,v=0;return(o instanceof E||"\\oiint"===n.name||"\\oiiint"===n.name)&&!n.suppressBaseShift&&(x=(o.height-o.depth)/2-e.fontMetrics().axisHeight,v=o.italic),i?Fr(o,r,a,e,s,v,x):(x&&(o.style.position="relative",o.style.top=x+"em"),o)},Gr=function(t,e){var r;if(t.symbol)r=new me("mo",[pe(t.name,t.mode)]),c.contains(Vr,t.name)&&r.setAttribute("largeop","false");else if(t.body)r=new me("mo",ge(t.body,e));else{r=new me("mi",[new ce(t.name.slice(1))]);var a=new me("mo",[pe("\u2061","text")]);r=t.parentIsSupSub?new me("mo",[r,a]):he([r,a])}return r},Yr={"\u220f":"\\prod","\u2210":"\\coprod","\u2211":"\\sum","\u22c0":"\\bigwedge","\u22c1":"\\bigvee","\u22c2":"\\bigcap","\u22c3":"\\bigcup","\u2a00":"\\bigodot","\u2a01":"\\bigoplus","\u2a02":"\\bigotimes","\u2a04":"\\biguplus","\u2a06":"\\bigsqcup"};_t({type:"op",names:["\\coprod","\\bigvee","\\bigwedge","\\biguplus","\\bigcap","\\bigcup","\\intop","\\prod","\\sum","\\bigotimes","\\bigoplus","\\bigodot","\\bigsqcup","\\smallint","\u220f","\u2210","\u2211","\u22c0","\u22c1","\u22c2","\u22c3","\u2a00","\u2a01","\u2a02","\u2a04","\u2a06"],props:{numArgs:0},handler:function(t,e){var r=t.parser,a=t.funcName;return 1===a.length&&(a=Yr[a]),{type:"op",mode:r.mode,limits:!0,parentIsSupSub:!1,symbol:!0,name:a}},htmlBuilder:Ur,mathmlBuilder:Gr}),_t({type:"op",names:["\\mathop"],props:{numArgs:1},handler:function(t,e){var r=t.parser,a=e[0];return{type:"op",mode:r.mode,limits:!1,parentIsSupSub:!1,symbol:!1,body:$t(a)}},htmlBuilder:Ur,mathmlBuilder:Gr});var Wr={"\u222b":"\\int","\u222c":"\\iint","\u222d":"\\iiint","\u222e":"\\oint","\u222f":"\\oiint","\u2230":"\\oiiint"};_t({type:"op",names:["\\arcsin","\\arccos","\\arctan","\\arctg","\\arcctg","\\arg","\\ch","\\cos","\\cosec","\\cosh","\\cot","\\cotg","\\coth","\\csc","\\ctg","\\cth","\\deg","\\dim","\\exp","\\hom","\\ker","\\lg","\\ln","\\log","\\sec","\\sin","\\sinh","\\sh","\\tan","\\tanh","\\tg","\\th"],props:{numArgs:0},handler:function(t){var e=t.parser,r=t.funcName;return{type:"op",mode:e.mode,limits:!1,parentIsSupSub:!1,symbol:!1,name:r}},htmlBuilder:Ur,mathmlBuilder:Gr}),_t({type:"op",names:["\\det","\\gcd","\\inf","\\lim","\\max","\\min","\\Pr","\\sup"],props:{numArgs:0},handler:function(t){var e=t.parser,r=t.funcName;return{type:"op",mode:e.mode,limits:!0,parentIsSupSub:!1,symbol:!1,name:r}},htmlBuilder:Ur,mathmlBuilder:Gr}),_t({type:"op",names:["\\int","\\iint","\\iiint","\\oint","\\oiint","\\oiiint","\u222b","\u222c","\u222d","\u222e","\u222f","\u2230"],props:{numArgs:0},handler:function(t){var e=t.parser,r=t.funcName;return 1===r.length&&(r=Wr[r]),{type:"op",mode:e.mode,limits:!1,parentIsSupSub:!1,symbol:!0,name:r}},htmlBuilder:Ur,mathmlBuilder:Gr});var Xr=function(t,e){var r,a,n,i,o=!1;if("supsub"===t.type?(r=t.sup,a=t.sub,n=Ce(t.base,"operatorname"),o=!0):n=Ce(t,"operatorname"),n.body.length>0){for(var s=n.body.map(function(t){var e=t.text;return"string"==typeof e?{type:"textord",mode:t.mode,text:e}:t}),l=ee(s,e.withFont("mathrm"),!0),h=0;h<l.length;h++){var m=l[h];m instanceof E&&(m.text=m.text.replace(/\u2212/,"-").replace(/\u2217/,"*"))}i=Dt.makeSpan(["mop"],l,e)}else i=Dt.makeSpan(["mop"],[],e);return o?Fr(i,r,a,e,e.style,0,0):i};function _r(t,e,r){for(var a=ee(t,e,!1),n=e.sizeMultiplier/r.sizeMultiplier,i=0;i<a.length;i++){var o=a[i].classes.indexOf("sizing");o<0?Array.prototype.push.apply(a[i].classes,e.sizingClasses(r)):a[i].classes[o+1]==="reset-size"+e.size&&(a[i].classes[o+1]="reset-size"+r.size),a[i].height*=n,a[i].depth*=n}return Dt.makeFragment(a)}_t({type:"operatorname",names:["\\operatorname","\\operatorname*"],props:{numArgs:1},handler:function(t,e){var r=t.parser,a=t.funcName,n=e[0];return{type:"operatorname",mode:r.mode,body:$t(n),alwaysHandleSupSub:"\\operatorname*"===a,limits:!1,parentIsSupSub:!1}},htmlBuilder:Xr,mathmlBuilder:function(t,e){for(var r=ge(t.body,e.withFont("mathrm")),a=!0,n=0;n<r.length;n++){var i=r[n];if(i instanceof ue.SpaceNode);else if(i instanceof ue.MathNode)switch(i.type){case"mi":case"mn":case"ms":case"mspace":case"mtext":break;case"mo":var o=i.children[0];1===i.children.length&&o instanceof ue.TextNode?o.text=o.text.replace(/\u2212/,"-").replace(/\u2217/,"*"):a=!1;break;default:a=!1}else a=!1}if(a){var s=r.map(function(t){return t.toText()}).join("");r=[new ue.TextNode(s)]}var l=new ue.MathNode("mi",r);l.setAttribute("mathvariant","normal");var h=new ue.MathNode("mo",[pe("\u2061","text")]);return t.parentIsSupSub?new ue.MathNode("mo",[l,h]):ue.newDocumentFragment([l,h])}}),jt({type:"ordgroup",htmlBuilder:function(t,e){return t.semisimple?Dt.makeFragment(ee(t.body,e,!1)):Dt.makeSpan(["mord"],ee(t.body,e,!0),e)},mathmlBuilder:function(t,e){return xe(t.body,e,!0)}}),_t({type:"overline",names:["\\overline"],props:{numArgs:1},handler:function(t,e){var r=t.parser,a=e[0];return{type:"overline",mode:r.mode,body:a}},htmlBuilder:function(t,e){var r=oe(t.body,e.havingCrampedStyle()),a=Dt.makeLineSpan("overline-line",e),n=e.fontMetrics().defaultRuleThickness,i=Dt.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:r},{type:"kern",size:3*n},{type:"elem",elem:a},{type:"kern",size:n}]},e);return Dt.makeSpan(["mord","overline"],[i],e)},mathmlBuilder:function(t,e){var r=new ue.MathNode("mo",[new ue.TextNode("\u203e")]);r.setAttribute("stretchy","true");var a=new ue.MathNode("mover",[ve(t.body,e),r]);return a.setAttribute("accent","true"),a}}),_t({type:"phantom",names:["\\phantom"],props:{numArgs:1,allowedInText:!0},handler:function(t,e){var r=t.parser,a=e[0];return{type:"phantom",mode:r.mode,body:$t(a)}},htmlBuilder:function(t,e){var r=ee(t.body,e.withPhantom(),!1);return Dt.makeFragment(r)},mathmlBuilder:function(t,e){var r=ge(t.body,e);return new ue.MathNode("mphantom",r)}}),_t({type:"hphantom",names:["\\hphantom"],props:{numArgs:1,allowedInText:!0},handler:function(t,e){var r=t.parser,a=e[0];return{type:"hphantom",mode:r.mode,body:a}},htmlBuilder:function(t,e){var r=Dt.makeSpan([],[oe(t.body,e.withPhantom())]);if(r.height=0,r.depth=0,r.children)for(var a=0;a<r.children.length;a++)r.children[a].height=0,r.children[a].depth=0;return r=Dt.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:r}]},e),Dt.makeSpan(["mord"],[r],e)},mathmlBuilder:function(t,e){var r=ge($t(t.body),e),a=new ue.MathNode("mphantom",r),n=new ue.MathNode("mpadded",[a]);return n.setAttribute("height","0px"),n.setAttribute("depth","0px"),n}}),_t({type:"vphantom",names:["\\vphantom"],props:{numArgs:1,allowedInText:!0},handler:function(t,e){var r=t.parser,a=e[0];return{type:"vphantom",mode:r.mode,body:a}},htmlBuilder:function(t,e){var r=Dt.makeSpan(["inner"],[oe(t.body,e.withPhantom())]),a=Dt.makeSpan(["fix"],[]);return Dt.makeSpan(["mord","rlap"],[r,a],e)},mathmlBuilder:function(t,e){var r=ge($t(t.body),e),a=new ue.MathNode("mphantom",r),n=new ue.MathNode("mpadded",[a]);return n.setAttribute("width","0px"),n}}),_t({type:"raisebox",names:["\\raisebox"],props:{numArgs:2,argTypes:["size","hbox"],allowedInText:!0},handler:function(t,e){var r=t.parser,a=Ce(e[0],"size").value,n=e[1];return{type:"raisebox",mode:r.mode,dy:a,body:n}},htmlBuilder:function(t,e){var r=oe(t.body,e),a=Tt(t.dy,e);return Dt.makeVList({positionType:"shift",positionData:-a,children:[{type:"elem",elem:r}]},e)},mathmlBuilder:function(t,e){var r=new ue.MathNode("mpadded",[ve(t.body,e)]),a=t.dy.number+t.dy.unit;return r.setAttribute("voffset",a),r}}),_t({type:"rule",names:["\\rule"],props:{numArgs:2,numOptionalArgs:1,argTypes:["size","size","size"]},handler:function(t,e,r){var a=t.parser,n=r[0],i=Ce(e[0],"size"),o=Ce(e[1],"size");return{type:"rule",mode:a.mode,shift:n&&Ce(n,"size").value,width:i.value,height:o.value}},htmlBuilder:function(t,e){var r=Dt.makeSpan(["mord","rule"],[],e),a=Tt(t.width,e),n=Tt(t.height,e),i=t.shift?Tt(t.shift,e):0;return r.style.borderRightWidth=a+"em",r.style.borderTopWidth=n+"em",r.style.bottom=i+"em",r.width=a,r.height=n+i,r.depth=-i,r.maxFontSize=1.125*n*e.sizeMultiplier,r},mathmlBuilder:function(t,e){var r=Tt(t.width,e),a=Tt(t.height,e),n=t.shift?Tt(t.shift,e):0,i=e.color&&e.getColor()||"black",o=new ue.MathNode("mspace");o.setAttribute("mathbackground",i),o.setAttribute("width",r+"em"),o.setAttribute("height",a+"em");var s=new ue.MathNode("mpadded",[o]);return n>=0?s.setAttribute("height","+"+n+"em"):(s.setAttribute("height",n+"em"),s.setAttribute("depth","+"+-n+"em")),s.setAttribute("voffset",n+"em"),s}});var jr=["\\tiny","\\sixptsize","\\scriptsize","\\footnotesize","\\small","\\normalsize","\\large","\\Large","\\LARGE","\\huge","\\Huge"];_t({type:"sizing",names:jr,props:{numArgs:0,allowedInText:!0},handler:function(t,e){var r=t.breakOnTokenText,a=t.funcName,n=t.parser,i=n.parseExpression(!1,r);return{type:"sizing",mode:n.mode,size:jr.indexOf(a)+1,body:i}},htmlBuilder:function(t,e){var r=e.havingSize(t.size);return _r(t.body,r,e)},mathmlBuilder:function(t,e){var r=e.havingSize(t.size),a=ge(t.body,r),n=new ue.MathNode("mstyle",a);return n.setAttribute("mathsize",r.sizeMultiplier+"em"),n}}),_t({type:"smash",names:["\\smash"],props:{numArgs:1,numOptionalArgs:1,allowedInText:!0},handler:function(t,e,r){var a=t.parser,n=!1,i=!1,o=r[0]&&Ce(r[0],"ordgroup");if(o)for(var s="",l=0;l<o.body.length;++l){if("t"===(s=o.body[l].text))n=!0;else{if("b"!==s){n=!1,i=!1;break}i=!0}}else n=!0,i=!0;var h=e[0];return{type:"smash",mode:a.mode,body:h,smashHeight:n,smashDepth:i}},htmlBuilder:function(t,e){var r=Dt.makeSpan([],[oe(t.body,e)]);if(!t.smashHeight&&!t.smashDepth)return r;if(t.smashHeight&&(r.height=0,r.children))for(var a=0;a<r.children.length;a++)r.children[a].height=0;if(t.smashDepth&&(r.depth=0,r.children))for(var n=0;n<r.children.length;n++)r.children[n].depth=0;var i=Dt.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:r}]},e);return Dt.makeSpan(["mord"],[i],e)},mathmlBuilder:function(t,e){var r=new ue.MathNode("mpadded",[ve(t.body,e)]);return t.smashHeight&&r.setAttribute("height","0px"),t.smashDepth&&r.setAttribute("depth","0px"),r}}),_t({type:"sqrt",names:["\\sqrt"],props:{numArgs:1,numOptionalArgs:1},handler:function(t,e,r){var a=t.parser,n=r[0],i=e[0];return{type:"sqrt",mode:a.mode,body:i,index:n}},htmlBuilder:function(t,e){var r=oe(t.body,e.havingCrampedStyle());0===r.height&&(r.height=e.fontMetrics().xHeight),r=Dt.wrapFragment(r,e);var a=e.fontMetrics().defaultRuleThickness,n=a;e.style.id<w.TEXT.id&&(n=e.fontMetrics().xHeight);var i=a+n/4,o=r.height+r.depth+i+a,s=ir(o,e),l=s.span,h=s.ruleWidth,m=s.advanceWidth,c=l.height-h;c>r.height+r.depth+i&&(i=(i+c-r.height-r.depth)/2);var u=l.height-r.height-i-h;r.style.paddingLeft=m+"em";var p=Dt.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:r,wrapperClasses:["svg-align"]},{type:"kern",size:-(r.height+u)},{type:"elem",elem:l},{type:"kern",size:h}]},e);if(t.index){var d=e.havingStyle(w.SCRIPTSCRIPT),f=oe(t.index,d,e),g=.6*(p.height-p.depth),x=Dt.makeVList({positionType:"shift",positionData:-g,children:[{type:"elem",elem:f}]},e),v=Dt.makeSpan(["root"],[x]);return Dt.makeSpan(["mord","sqrt"],[v,p],e)}return Dt.makeSpan(["mord","sqrt"],[p],e)},mathmlBuilder:function(t,e){var r=t.body,a=t.index;return a?new ue.MathNode("mroot",[ve(r,e),ve(a,e)]):new ue.MathNode("msqrt",[ve(r,e)])}});var $r={display:w.DISPLAY,text:w.TEXT,script:w.SCRIPT,scriptscript:w.SCRIPTSCRIPT};_t({type:"styling",names:["\\displaystyle","\\textstyle","\\scriptstyle","\\scriptscriptstyle"],props:{numArgs:0,allowedInText:!0},handler:function(t,e){var r=t.breakOnTokenText,a=t.funcName,n=t.parser,i=n.parseExpression(!0,r),o=a.slice(1,a.length-5);return{type:"styling",mode:n.mode,style:o,body:i}},htmlBuilder:function(t,e){var r=$r[t.style],a=e.havingStyle(r).withFont("");return _r(t.body,a,e)},mathmlBuilder:function(t,e){var r=$r[t.style],a=e.havingStyle(r),n=ge(t.body,a),i=new ue.MathNode("mstyle",n),o={display:["0","true"],text:["0","false"],script:["1","false"],scriptscript:["2","false"]}[t.style];return i.setAttribute("scriptlevel",o[0]),i.setAttribute("displaystyle",o[1]),i}});jt({type:"supsub",htmlBuilder:function(t,e){var r=function(t,e){var r=t.base;return r?"op"===r.type?r.limits&&(e.style.size===w.DISPLAY.size||r.alwaysHandleSupSub)?Ur:null:"operatorname"===r.type?r.alwaysHandleSupSub&&(e.style.size===w.DISPLAY.size||r.limits)?Xr:null:"accent"===r.type?c.isCharacterBox(r.base)?Ie:null:"horizBrace"===r.type&&!t.sub===r.isOver?Pr:null:null}(t,e);if(r)return r(t,e);var a,n,i,o=t.base,s=t.sup,l=t.sub,h=oe(o,e),m=e.fontMetrics(),u=0,p=0,d=o&&c.isCharacterBox(o);if(s){var f=e.havingStyle(e.style.sup());a=oe(s,f,e),d||(u=h.height-f.fontMetrics().supDrop*f.sizeMultiplier/e.sizeMultiplier)}if(l){var g=e.havingStyle(e.style.sub());n=oe(l,g,e),d||(p=h.depth+g.fontMetrics().subDrop*g.sizeMultiplier/e.sizeMultiplier)}i=e.style===w.DISPLAY?m.sup1:e.style.cramped?m.sup3:m.sup2;var x,v=e.sizeMultiplier,b=.5/m.ptPerEm/v+"em",y=null;if(n){var k=t.base&&"op"===t.base.type&&t.base.name&&("\\oiint"===t.base.name||"\\oiiint"===t.base.name);(h instanceof E||k)&&(y=-h.italic+"em")}if(a&&n){u=Math.max(u,i,a.depth+.25*m.xHeight),p=Math.max(p,m.sub2);var S=4*m.defaultRuleThickness;if(u-a.depth-(n.height-p)<S){p=S-(u-a.depth)+n.height;var M=.8*m.xHeight-(u-a.depth);M>0&&(u+=M,p-=M)}var z=[{type:"elem",elem:n,shift:p,marginRight:b,marginLeft:y},{type:"elem",elem:a,shift:-u,marginRight:b}];x=Dt.makeVList({positionType:"individualShift",children:z},e)}else if(n){p=Math.max(p,m.sub1,n.height-.8*m.xHeight);var A=[{type:"elem",elem:n,marginLeft:y,marginRight:b}];x=Dt.makeVList({positionType:"shift",positionData:p,children:A},e)}else{if(!a)throw new Error("supsub must have either sup or sub.");u=Math.max(u,i,a.depth+.25*m.xHeight),x=Dt.makeVList({positionType:"shift",positionData:-u,children:[{type:"elem",elem:a,marginRight:b}]},e)}var T=ne(h,"right")||"mord";return Dt.makeSpan([T],[h,Dt.makeSpan(["msupsub"],[x])],e)},mathmlBuilder:function(t,e){var r,a=!1;t.base&&"horizBrace"===t.base.type&&!!t.sup===t.base.isOver&&(a=!0,r=t.base.isOver),!t.base||"op"!==t.base.type&&"operatorname"!==t.base.type||(t.base.parentIsSupSub=!0);var n,i=[ve(t.base,e)];if(t.sub&&i.push(ve(t.sub,e)),t.sup&&i.push(ve(t.sup,e)),a)n=r?"mover":"munder";else if(t.sub)if(t.sup){var o=t.base;n=o&&"op"===o.type&&o.limits&&e.style===w.DISPLAY?"munderover":o&&"operatorname"===o.type&&o.alwaysHandleSupSub&&(e.style===w.DISPLAY||o.limits)?"munderover":"msubsup"}else{var s=t.base;n=s&&"op"===s.type&&s.limits&&(e.style===w.DISPLAY||s.alwaysHandleSupSub)?"munder":s&&"operatorname"===s.type&&s.alwaysHandleSupSub&&(s.limits||e.style===w.DISPLAY)?"munder":"msub"}else{var l=t.base;n=l&&"op"===l.type&&l.limits&&(e.style===w.DISPLAY||l.alwaysHandleSupSub)?"mover":l&&"operatorname"===l.type&&l.alwaysHandleSupSub&&(l.limits||e.style===w.DISPLAY)?"mover":"msup"}return new ue.MathNode(n,i)}}),jt({type:"atom",htmlBuilder:function(t,e){return Dt.mathsym(t.text,t.mode,e,["m"+t.family])},mathmlBuilder:function(t,e){var r=new ue.MathNode("mo",[pe(t.text,t.mode)]);if("bin"===t.family){var a=fe(t,e);"bold-italic"===a&&r.setAttribute("mathvariant",a)}else"punct"===t.family?r.setAttribute("separator","true"):"open"!==t.family&&"close"!==t.family||r.setAttribute("stretchy","false");return r}});var Zr={mi:"italic",mn:"normal",mtext:"normal"};jt({type:"mathord",htmlBuilder:function(t,e){return Dt.makeOrd(t,e,"mathord")},mathmlBuilder:function(t,e){var r=new ue.MathNode("mi",[pe(t.text,t.mode,e)]),a=fe(t,e)||"italic";return a!==Zr[r.type]&&r.setAttribute("mathvariant",a),r}}),jt({type:"textord",htmlBuilder:function(t,e){return Dt.makeOrd(t,e,"textord")},mathmlBuilder:function(t,e){var r,a=pe(t.text,t.mode,e),n=fe(t,e)||"normal";return r="text"===t.mode?new ue.MathNode("mtext",[a]):/[0-9]/.test(t.text)?new ue.MathNode("mn",[a]):"\\prime"===t.text?new ue.MathNode("mo",[a]):new ue.MathNode("mi",[a]),n!==Zr[r.type]&&r.setAttribute("mathvariant",n),r}});var Kr={"\\nobreak":"nobreak","\\allowbreak":"allowbreak"},Jr={" ":{},"\\ ":{},"~":{className:"nobreak"},"\\space":{},"\\nobreakspace":{className:"nobreak"}};jt({type:"spacing",htmlBuilder:function(t,e){if(Jr.hasOwnProperty(t.text)){var r=Jr[t.text].className||"";if("text"===t.mode){var a=Dt.makeOrd(t,e,"textord");return a.classes.push(r),a}return Dt.makeSpan(["mspace",r],[Dt.mathsym(t.text,t.mode,e)],e)}if(Kr.hasOwnProperty(t.text))return Dt.makeSpan(["mspace",Kr[t.text]],[],e);throw new o('Unknown type of space "'+t.text+'"')},mathmlBuilder:function(t,e){if(!Jr.hasOwnProperty(t.text)){if(Kr.hasOwnProperty(t.text))return new ue.MathNode("mspace");throw new o('Unknown type of space "'+t.text+'"')}return new ue.MathNode("mtext",[new ue.TextNode("\xa0")])}});var Qr=function(){var t=new ue.MathNode("mtd",[]);return t.setAttribute("width","50%"),t};jt({type:"tag",mathmlBuilder:function(t,e){var r=new ue.MathNode("mtable",[new ue.MathNode("mtr",[Qr(),new ue.MathNode("mtd",[xe(t.body,e)]),Qr(),new ue.MathNode("mtd",[xe(t.tag,e)])])]);return r.setAttribute("width","100%"),r}});var ta={"\\text":void 0,"\\textrm":"textrm","\\textsf":"textsf","\\texttt":"texttt","\\textnormal":"textrm"},ea={"\\textbf":"textbf","\\textmd":"textmd"},ra={"\\textit":"textit","\\textup":"textup"},aa=function(t,e){var r=t.font;return r?ta[r]?e.withTextFontFamily(ta[r]):ea[r]?e.withTextFontWeight(ea[r]):e.withTextFontShape(ra[r]):e};_t({type:"text",names:["\\text","\\textrm","\\textsf","\\texttt","\\textnormal","\\textbf","\\textmd","\\textit","\\textup"],props:{numArgs:1,argTypes:["text"],greediness:2,allowedInText:!0},handler:function(t,e){var r=t.parser,a=t.funcName,n=e[0];return{type:"text",mode:r.mode,body:$t(n),font:a}},htmlBuilder:function(t,e){var r=aa(t,e),a=ee(t.body,r,!0);return Dt.makeSpan(["mord","text"],Dt.tryCombineChars(a),r)},mathmlBuilder:function(t,e){var r=aa(t,e);return xe(t.body,r)}}),_t({type:"underline",names:["\\underline"],props:{numArgs:1,allowedInText:!0},handler:function(t,e){return{type:"underline",mode:t.parser.mode,body:e[0]}},htmlBuilder:function(t,e){var r=oe(t.body,e),a=Dt.makeLineSpan("underline-line",e),n=e.fontMetrics().defaultRuleThickness,i=Dt.makeVList({positionType:"top",positionData:r.height,children:[{type:"kern",size:n},{type:"elem",elem:a},{type:"kern",size:3*n},{type:"elem",elem:r}]},e);return Dt.makeSpan(["mord","underline"],[i],e)},mathmlBuilder:function(t,e){var r=new ue.MathNode("mo",[new ue.TextNode("\u203e")]);r.setAttribute("stretchy","true");var a=new ue.MathNode("munder",[ve(t.body,e),r]);return a.setAttribute("accentunder","true"),a}}),_t({type:"verb",names:["\\verb"],props:{numArgs:0,allowedInText:!0},handler:function(t,e,r){throw new o("\\verb ended by end of line instead of matching delimiter")},htmlBuilder:function(t,e){for(var r=na(t),a=[],n=e.havingStyle(e.style.text()),i=0;i<r.length;i++){var o=r[i];"~"===o&&(o="\\textasciitilde"),a.push(Dt.makeSymbol(o,"Typewriter-Regular",t.mode,n,["mord","texttt"]))}return Dt.makeSpan(["mord","text"].concat(n.sizingClasses(e)),Dt.tryCombineChars(a),n)},mathmlBuilder:function(t,e){var r=new ue.TextNode(na(t)),a=new ue.MathNode("mtext",[r]);return a.setAttribute("mathvariant","monospace"),a}});var na=function(t){return t.body.replace(/ /g,t.star?"\u2423":"\xa0")},ia=Yt,oa=new RegExp("^(\\\\[a-zA-Z@]+)[ \r\n\t]*$"),sa=new RegExp("[\u0300-\u036f]+$"),la="([ \r\n\t]+)|([!-\\[\\]-\u2027\u202a-\ud7ff\uf900-\uffff][\u0300-\u036f]*|[\ud800-\udbff][\udc00-\udfff][\u0300-\u036f]*|\\\\verb\\*([^]).*?\\3|\\\\verb([^*a-zA-Z]).*?\\4|\\\\operatorname\\*|\\\\[a-zA-Z@]+[ \r\n\t]*|\\\\[^\ud800-\udfff])",ha=function(){function t(t,e){this.input=void 0,this.settings=void 0,this.tokenRegex=void 0,this.catcodes=void 0,this.input=t,this.settings=e,this.tokenRegex=new RegExp(la,"g"),this.catcodes={"%":14}}var e=t.prototype;return e.setCatcode=function(t,e){this.catcodes[t]=e},e.lex=function(){var t=this.input,e=this.tokenRegex.lastIndex;if(e===t.length)return new n("EOF",new a(this,e,e));var r=this.tokenRegex.exec(t);if(null===r||r.index!==e)throw new o("Unexpected character: '"+t[e]+"'",new n(t[e],new a(this,e,e+1)));var i=r[2]||" ";if(14===this.catcodes[i]){var s=t.indexOf("\n",this.tokenRegex.lastIndex);return-1===s?(this.tokenRegex.lastIndex=t.length,this.settings.reportNonstrict("commentAtEnd","% comment has no terminating newline; LaTeX would fail because of commenting the end of math mode (e.g. $)")):this.tokenRegex.lastIndex=s+1,this.lex()}var l=i.match(oa);return l&&(i=l[1]),new n(i,new a(this,e,this.tokenRegex.lastIndex))},t}(),ma=function(){function t(t,e){void 0===t&&(t={}),void 0===e&&(e={}),this.current=void 0,this.builtins=void 0,this.undefStack=void 0,this.current=e,this.builtins=t,this.undefStack=[]}var e=t.prototype;return e.beginGroup=function(){this.undefStack.push({})},e.endGroup=function(){if(0===this.undefStack.length)throw new o("Unbalanced namespace destruction: attempt to pop global namespace; please report this as a bug");var t=this.undefStack.pop();for(var e in t)t.hasOwnProperty(e)&&(void 0===t[e]?delete this.current[e]:this.current[e]=t[e])},e.has=function(t){return this.current.hasOwnProperty(t)||this.builtins.hasOwnProperty(t)},e.get=function(t){return this.current.hasOwnProperty(t)?this.current[t]:this.builtins[t]},e.set=function(t,e,r){if(void 0===r&&(r=!1),r){for(var a=0;a<this.undefStack.length;a++)delete this.undefStack[a][t];this.undefStack.length>0&&(this.undefStack[this.undefStack.length-1][t]=e)}else{var n=this.undefStack[this.undefStack.length-1];n&&!n.hasOwnProperty(t)&&(n[t]=this.current[t])}this.current[t]=e},t}(),ca={},ua=ca;function pa(t,e){ca[t]=e}pa("\\noexpand",function(t){var e=t.popToken();return t.isExpandable(e.text)&&(e.noexpand=!0,e.treatAsRelax=!0),{tokens:[e],numArgs:0}}),pa("\\expandafter",function(t){var e=t.popToken();return t.expandOnce(!0),{tokens:[e],numArgs:0}}),pa("\\@firstoftwo",function(t){return{tokens:t.consumeArgs(2)[0],numArgs:0}}),pa("\\@secondoftwo",function(t){return{tokens:t.consumeArgs(2)[1],numArgs:0}}),pa("\\@ifnextchar",function(t){var e=t.consumeArgs(3);t.consumeSpaces();var r=t.future();return 1===e[0].length&&e[0][0].text===r.text?{tokens:e[1],numArgs:0}:{tokens:e[2],numArgs:0}}),pa("\\@ifstar","\\@ifnextchar *{\\@firstoftwo{#1}}"),pa("\\TextOrMath",function(t){var e=t.consumeArgs(2);return"text"===t.mode?{tokens:e[0],numArgs:0}:{tokens:e[1],numArgs:0}});var da={0:0,1:1,2:2,3:3,4:4,5:5,6:6,7:7,8:8,9:9,a:10,A:10,b:11,B:11,c:12,C:12,d:13,D:13,e:14,E:14,f:15,F:15};pa("\\char",function(t){var e,r=t.popToken(),a="";if("'"===r.text)e=8,r=t.popToken();else if('"'===r.text)e=16,r=t.popToken();else if("`"===r.text)if("\\"===(r=t.popToken()).text[0])a=r.text.charCodeAt(1);else{if("EOF"===r.text)throw new o("\\char` missing argument");a=r.text.charCodeAt(0)}else e=10;if(e){if(null==(a=da[r.text])||a>=e)throw new o("Invalid base-"+e+" digit "+r.text);for(var n;null!=(n=da[t.future().text])&&n<e;)a*=e,a+=n,t.popToken()}return"\\@char{"+a+"}"});var fa=function(t,e,r){var a=t.consumeArgs(1)[0];if(1!==a.length)throw new o("\\newcommand's first argument must be a macro name");var n=a[0].text,i=t.isDefined(n);if(i&&!e)throw new o("\\newcommand{"+n+"} attempting to redefine "+n+"; use \\renewcommand");if(!i&&!r)throw new o("\\renewcommand{"+n+"} when command "+n+" does not yet exist; use \\newcommand");var s=0;if(1===(a=t.consumeArgs(1)[0]).length&&"["===a[0].text){for(var l="",h=t.expandNextToken();"]"!==h.text&&"EOF"!==h.text;)l+=h.text,h=t.expandNextToken();if(!l.match(/^\s*[0-9]+\s*$/))throw new o("Invalid number of arguments: "+l);s=parseInt(l),a=t.consumeArgs(1)[0]}return t.macros.set(n,{tokens:a,numArgs:s}),""};pa("\\newcommand",function(t){return fa(t,!1,!0)}),pa("\\renewcommand",function(t){return fa(t,!0,!1)}),pa("\\providecommand",function(t){return fa(t,!0,!0)}),pa("\\message",function(t){var e=t.consumeArgs(1)[0];return console.log(e.reverse().map(function(t){return t.text}).join("")),""}),pa("\\errmessage",function(t){var e=t.consumeArgs(1)[0];return console.error(e.reverse().map(function(t){return t.text}).join("")),""}),pa("\\show",function(t){var e=t.popToken(),r=e.text;return console.log(e,t.macros.get(r),ia[r],j.math[r],j.text[r]),""}),pa("\\bgroup","{"),pa("\\egroup","}"),pa("\\lq","`"),pa("\\rq","'"),pa("\\aa","\\r a"),pa("\\AA","\\r A"),pa("\\textcopyright","\\html@mathml{\\textcircled{c}}{\\char`\xa9}"),pa("\\copyright","\\TextOrMath{\\textcopyright}{\\text{\\textcopyright}}"),pa("\\textregistered","\\html@mathml{\\textcircled{\\scriptsize R}}{\\char`\xae}"),pa("\u212c","\\mathscr{B}"),pa("\u2130","\\mathscr{E}"),pa("\u2131","\\mathscr{F}"),pa("\u210b","\\mathscr{H}"),pa("\u2110","\\mathscr{I}"),pa("\u2112","\\mathscr{L}"),pa("\u2133","\\mathscr{M}"),pa("\u211b","\\mathscr{R}"),pa("\u212d","\\mathfrak{C}"),pa("\u210c","\\mathfrak{H}"),pa("\u2128","\\mathfrak{Z}"),pa("\\Bbbk","\\Bbb{k}"),pa("\xb7","\\cdotp"),pa("\\llap","\\mathllap{\\textrm{#1}}"),pa("\\rlap","\\mathrlap{\\textrm{#1}}"),pa("\\clap","\\mathclap{\\textrm{#1}}"),pa("\\not",'\\html@mathml{\\mathrel{\\mathrlap\\@not}}{\\char"338}'),pa("\\neq","\\html@mathml{\\mathrel{\\not=}}{\\mathrel{\\char`\u2260}}"),pa("\\ne","\\neq"),pa("\u2260","\\neq"),pa("\\notin","\\html@mathml{\\mathrel{{\\in}\\mathllap{/\\mskip1mu}}}{\\mathrel{\\char`\u2209}}"),pa("\u2209","\\notin"),pa("\u2258","\\html@mathml{\\mathrel{=\\kern{-1em}\\raisebox{0.4em}{$\\scriptsize\\frown$}}}{\\mathrel{\\char`\u2258}}"),pa("\u2259","\\html@mathml{\\stackrel{\\tiny\\wedge}{=}}{\\mathrel{\\char`\u2258}}"),pa("\u225a","\\html@mathml{\\stackrel{\\tiny\\vee}{=}}{\\mathrel{\\char`\u225a}}"),pa("\u225b","\\html@mathml{\\stackrel{\\scriptsize\\star}{=}}{\\mathrel{\\char`\u225b}}"),pa("\u225d","\\html@mathml{\\stackrel{\\tiny\\mathrm{def}}{=}}{\\mathrel{\\char`\u225d}}"),pa("\u225e","\\html@mathml{\\stackrel{\\tiny\\mathrm{m}}{=}}{\\mathrel{\\char`\u225e}}"),pa("\u225f","\\html@mathml{\\stackrel{\\tiny?}{=}}{\\mathrel{\\char`\u225f}}"),pa("\u27c2","\\perp"),pa("\u203c","\\mathclose{!\\mkern-0.8mu!}"),pa("\u220c","\\notni"),pa("\u231c","\\ulcorner"),pa("\u231d","\\urcorner"),pa("\u231e","\\llcorner"),pa("\u231f","\\lrcorner"),pa("\xa9","\\copyright"),pa("\xae","\\textregistered"),pa("\ufe0f","\\textregistered"),pa("\\ulcorner",'\\html@mathml{\\@ulcorner}{\\mathop{\\char"231c}}'),pa("\\urcorner",'\\html@mathml{\\@urcorner}{\\mathop{\\char"231d}}'),pa("\\llcorner",'\\html@mathml{\\@llcorner}{\\mathop{\\char"231e}}'),pa("\\lrcorner",'\\html@mathml{\\@lrcorner}{\\mathop{\\char"231f}}'),pa("\\vdots","\\mathord{\\varvdots\\rule{0pt}{15pt}}"),pa("\u22ee","\\vdots"),pa("\\varGamma","\\mathit{\\Gamma}"),pa("\\varDelta","\\mathit{\\Delta}"),pa("\\varTheta","\\mathit{\\Theta}"),pa("\\varLambda","\\mathit{\\Lambda}"),pa("\\varXi","\\mathit{\\Xi}"),pa("\\varPi","\\mathit{\\Pi}"),pa("\\varSigma","\\mathit{\\Sigma}"),pa("\\varUpsilon","\\mathit{\\Upsilon}"),pa("\\varPhi","\\mathit{\\Phi}"),pa("\\varPsi","\\mathit{\\Psi}"),pa("\\varOmega","\\mathit{\\Omega}"),pa("\\substack","\\begin{subarray}{c}#1\\end{subarray}"),pa("\\colon","\\nobreak\\mskip2mu\\mathpunct{}\\mathchoice{\\mkern-3mu}{\\mkern-3mu}{}{}{:}\\mskip6mu"),pa("\\boxed","\\fbox{$\\displaystyle{#1}$}"),pa("\\iff","\\DOTSB\\;\\Longleftrightarrow\\;"),pa("\\implies","\\DOTSB\\;\\Longrightarrow\\;"),pa("\\impliedby","\\DOTSB\\;\\Longleftarrow\\;");var ga={",":"\\dotsc","\\not":"\\dotsb","+":"\\dotsb","=":"\\dotsb","<":"\\dotsb",">":"\\dotsb","-":"\\dotsb","*":"\\dotsb",":":"\\dotsb","\\DOTSB":"\\dotsb","\\coprod":"\\dotsb","\\bigvee":"\\dotsb","\\bigwedge":"\\dotsb","\\biguplus":"\\dotsb","\\bigcap":"\\dotsb","\\bigcup":"\\dotsb","\\prod":"\\dotsb","\\sum":"\\dotsb","\\bigotimes":"\\dotsb","\\bigoplus":"\\dotsb","\\bigodot":"\\dotsb","\\bigsqcup":"\\dotsb","\\And":"\\dotsb","\\longrightarrow":"\\dotsb","\\Longrightarrow":"\\dotsb","\\longleftarrow":"\\dotsb","\\Longleftarrow":"\\dotsb","\\longleftrightarrow":"\\dotsb","\\Longleftrightarrow":"\\dotsb","\\mapsto":"\\dotsb","\\longmapsto":"\\dotsb","\\hookrightarrow":"\\dotsb","\\doteq":"\\dotsb","\\mathbin":"\\dotsb","\\mathrel":"\\dotsb","\\relbar":"\\dotsb","\\Relbar":"\\dotsb","\\xrightarrow":"\\dotsb","\\xleftarrow":"\\dotsb","\\DOTSI":"\\dotsi","\\int":"\\dotsi","\\oint":"\\dotsi","\\iint":"\\dotsi","\\iiint":"\\dotsi","\\iiiint":"\\dotsi","\\idotsint":"\\dotsi","\\DOTSX":"\\dotsx"};pa("\\dots",function(t){var e="\\dotso",r=t.expandAfterFuture().text;return r in ga?e=ga[r]:"\\not"===r.substr(0,4)?e="\\dotsb":r in j.math&&c.contains(["bin","rel"],j.math[r].group)&&(e="\\dotsb"),e});var xa={")":!0,"]":!0,"\\rbrack":!0,"\\}":!0,"\\rbrace":!0,"\\rangle":!0,"\\rceil":!0,"\\rfloor":!0,"\\rgroup":!0,"\\rmoustache":!0,"\\right":!0,"\\bigr":!0,"\\biggr":!0,"\\Bigr":!0,"\\Biggr":!0,$:!0,";":!0,".":!0,",":!0};pa("\\dotso",function(t){return t.future().text in xa?"\\ldots\\,":"\\ldots"}),pa("\\dotsc",function(t){var e=t.future().text;return e in xa&&","!==e?"\\ldots\\,":"\\ldots"}),pa("\\cdots",function(t){return t.future().text in xa?"\\@cdots\\,":"\\@cdots"}),pa("\\dotsb","\\cdots"),pa("\\dotsm","\\cdots"),pa("\\dotsi","\\!\\cdots"),pa("\\dotsx","\\ldots\\,"),pa("\\DOTSI","\\relax"),pa("\\DOTSB","\\relax"),pa("\\DOTSX","\\relax"),pa("\\tmspace","\\TextOrMath{\\kern#1#3}{\\mskip#1#2}\\relax"),pa("\\,","\\tmspace+{3mu}{.1667em}"),pa("\\thinspace","\\,"),pa("\\>","\\mskip{4mu}"),pa("\\:","\\tmspace+{4mu}{.2222em}"),pa("\\medspace","\\:"),pa("\\;","\\tmspace+{5mu}{.2777em}"),pa("\\thickspace","\\;"),pa("\\!","\\tmspace-{3mu}{.1667em}"),pa("\\negthinspace","\\!"),pa("\\negmedspace","\\tmspace-{4mu}{.2222em}"),pa("\\negthickspace","\\tmspace-{5mu}{.277em}"),pa("\\enspace","\\kern.5em "),pa("\\enskip","\\hskip.5em\\relax"),pa("\\quad","\\hskip1em\\relax"),pa("\\qquad","\\hskip2em\\relax"),pa("\\tag","\\@ifstar\\tag@literal\\tag@paren"),pa("\\tag@paren","\\tag@literal{({#1})}"),pa("\\tag@literal",function(t){if(t.macros.get("\\df@tag"))throw new o("Multiple \\tag");return"\\gdef\\df@tag{\\text{#1}}"}),pa("\\bmod","\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}\\mathbin{\\rm mod}\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}"),pa("\\pod","\\allowbreak\\mathchoice{\\mkern18mu}{\\mkern8mu}{\\mkern8mu}{\\mkern8mu}(#1)"),pa("\\pmod","\\pod{{\\rm mod}\\mkern6mu#1}"),pa("\\mod","\\allowbreak\\mathchoice{\\mkern18mu}{\\mkern12mu}{\\mkern12mu}{\\mkern12mu}{\\rm mod}\\,\\,#1"),pa("\\pmb","\\html@mathml{\\@binrel{#1}{\\mathrlap{#1}\\kern0.5px#1}}{\\mathbf{#1}}"),pa("\\\\","\\newline"),pa("\\TeX","\\textrm{\\html@mathml{T\\kern-.1667em\\raisebox{-.5ex}{E}\\kern-.125emX}{TeX}}");var va=F["Main-Regular"]["T".charCodeAt(0)][1]-.7*F["Main-Regular"]["A".charCodeAt(0)][1]+"em";pa("\\LaTeX","\\textrm{\\html@mathml{L\\kern-.36em\\raisebox{"+va+"}{\\scriptstyle A}\\kern-.15em\\TeX}{LaTeX}}"),pa("\\KaTeX","\\textrm{\\html@mathml{K\\kern-.17em\\raisebox{"+va+"}{\\scriptstyle A}\\kern-.15em\\TeX}{KaTeX}}"),pa("\\hspace","\\@ifstar\\@hspacer\\@hspace"),pa("\\@hspace","\\hskip #1\\relax"),pa("\\@hspacer","\\rule{0pt}{0pt}\\hskip #1\\relax"),pa("\\ordinarycolon",":"),pa("\\vcentcolon","\\mathrel{\\mathop\\ordinarycolon}"),pa("\\dblcolon",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-.9mu}\\vcentcolon}}{\\mathop{\\char"2237}}'),pa("\\coloneqq",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2254}}'),pa("\\Coloneqq",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2237\\char"3d}}'),pa("\\coloneq",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"3a\\char"2212}}'),pa("\\Coloneq",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"2237\\char"2212}}'),pa("\\eqqcolon",'\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2255}}'),pa("\\Eqqcolon",'\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"3d\\char"2237}}'),pa("\\eqcolon",'\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2239}}'),pa("\\Eqcolon",'\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"2212\\char"2237}}'),pa("\\colonapprox",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"3a\\char"2248}}'),pa("\\Colonapprox",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"2237\\char"2248}}'),pa("\\colonsim",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"3a\\char"223c}}'),pa("\\Colonsim",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"2237\\char"223c}}'),pa("\u2237","\\dblcolon"),pa("\u2239","\\eqcolon"),pa("\u2254","\\coloneqq"),pa("\u2255","\\eqqcolon"),pa("\u2a74","\\Coloneqq"),pa("\\ratio","\\vcentcolon"),pa("\\coloncolon","\\dblcolon"),pa("\\colonequals","\\coloneqq"),pa("\\coloncolonequals","\\Coloneqq"),pa("\\equalscolon","\\eqqcolon"),pa("\\equalscoloncolon","\\Eqqcolon"),pa("\\colonminus","\\coloneq"),pa("\\coloncolonminus","\\Coloneq"),pa("\\minuscolon","\\eqcolon"),pa("\\minuscoloncolon","\\Eqcolon"),pa("\\coloncolonapprox","\\Colonapprox"),pa("\\coloncolonsim","\\Colonsim"),pa("\\simcolon","\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\vcentcolon}"),pa("\\simcoloncolon","\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\dblcolon}"),pa("\\approxcolon","\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\vcentcolon}"),pa("\\approxcoloncolon","\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\dblcolon}"),pa("\\notni","\\html@mathml{\\not\\ni}{\\mathrel{\\char`\u220c}}"),pa("\\limsup","\\DOTSB\\operatorname*{lim\\,sup}"),pa("\\liminf","\\DOTSB\\operatorname*{lim\\,inf}"),pa("\\gvertneqq","\\html@mathml{\\@gvertneqq}{\u2269}"),pa("\\lvertneqq","\\html@mathml{\\@lvertneqq}{\u2268}"),pa("\\ngeqq","\\html@mathml{\\@ngeqq}{\u2271}"),pa("\\ngeqslant","\\html@mathml{\\@ngeqslant}{\u2271}"),pa("\\nleqq","\\html@mathml{\\@nleqq}{\u2270}"),pa("\\nleqslant","\\html@mathml{\\@nleqslant}{\u2270}"),pa("\\nshortmid","\\html@mathml{\\@nshortmid}{\u2224}"),pa("\\nshortparallel","\\html@mathml{\\@nshortparallel}{\u2226}"),pa("\\nsubseteqq","\\html@mathml{\\@nsubseteqq}{\u2288}"),pa("\\nsupseteqq","\\html@mathml{\\@nsupseteqq}{\u2289}"),pa("\\varsubsetneq","\\html@mathml{\\@varsubsetneq}{\u228a}"),pa("\\varsubsetneqq","\\html@mathml{\\@varsubsetneqq}{\u2acb}"),pa("\\varsupsetneq","\\html@mathml{\\@varsupsetneq}{\u228b}"),pa("\\varsupsetneqq","\\html@mathml{\\@varsupsetneqq}{\u2acc}"),pa("\\imath","\\html@mathml{\\@imath}{\u0131}"),pa("\\jmath","\\html@mathml{\\@jmath}{\u0237}"),pa("\\llbracket","\\html@mathml{\\mathopen{[\\mkern-3.2mu[}}{\\mathopen{\\char`\u27e6}}"),pa("\\rrbracket","\\html@mathml{\\mathclose{]\\mkern-3.2mu]}}{\\mathclose{\\char`\u27e7}}"),pa("\u27e6","\\llbracket"),pa("\u27e7","\\rrbracket"),pa("\\lBrace","\\html@mathml{\\mathopen{\\{\\mkern-3.2mu[}}{\\mathopen{\\char`\u2983}}"),pa("\\rBrace","\\html@mathml{\\mathclose{]\\mkern-3.2mu\\}}}{\\mathclose{\\char`\u2984}}"),pa("\u2983","\\lBrace"),pa("\u2984","\\rBrace"),pa("\\minuso","\\mathbin{\\html@mathml{{\\mathrlap{\\mathchoice{\\kern{0.145em}}{\\kern{0.145em}}{\\kern{0.1015em}}{\\kern{0.0725em}}\\circ}{-}}}{\\char`\u29b5}}"),pa("\u29b5","\\minuso"),pa("\\darr","\\downarrow"),pa("\\dArr","\\Downarrow"),pa("\\Darr","\\Downarrow"),pa("\\lang","\\langle"),pa("\\rang","\\rangle"),pa("\\uarr","\\uparrow"),pa("\\uArr","\\Uparrow"),pa("\\Uarr","\\Uparrow"),pa("\\N","\\mathbb{N}"),pa("\\R","\\mathbb{R}"),pa("\\Z","\\mathbb{Z}"),pa("\\alef","\\aleph"),pa("\\alefsym","\\aleph"),pa("\\Alpha","\\mathrm{A}"),pa("\\Beta","\\mathrm{B}"),pa("\\bull","\\bullet"),pa("\\Chi","\\mathrm{X}"),pa("\\clubs","\\clubsuit"),pa("\\cnums","\\mathbb{C}"),pa("\\Complex","\\mathbb{C}"),pa("\\Dagger","\\ddagger"),pa("\\diamonds","\\diamondsuit"),pa("\\empty","\\emptyset"),pa("\\Epsilon","\\mathrm{E}"),pa("\\Eta","\\mathrm{H}"),pa("\\exist","\\exists"),pa("\\harr","\\leftrightarrow"),pa("\\hArr","\\Leftrightarrow"),pa("\\Harr","\\Leftrightarrow"),pa("\\hearts","\\heartsuit"),pa("\\image","\\Im"),pa("\\infin","\\infty"),pa("\\Iota","\\mathrm{I}"),pa("\\isin","\\in"),pa("\\Kappa","\\mathrm{K}"),pa("\\larr","\\leftarrow"),pa("\\lArr","\\Leftarrow"),pa("\\Larr","\\Leftarrow"),pa("\\lrarr","\\leftrightarrow"),pa("\\lrArr","\\Leftrightarrow"),pa("\\Lrarr","\\Leftrightarrow"),pa("\\Mu","\\mathrm{M}"),pa("\\natnums","\\mathbb{N}"),pa("\\Nu","\\mathrm{N}"),pa("\\Omicron","\\mathrm{O}"),pa("\\plusmn","\\pm"),pa("\\rarr","\\rightarrow"),pa("\\rArr","\\Rightarrow"),pa("\\Rarr","\\Rightarrow"),pa("\\real","\\Re"),pa("\\reals","\\mathbb{R}"),pa("\\Reals","\\mathbb{R}"),pa("\\Rho","\\mathrm{P}"),pa("\\sdot","\\cdot"),pa("\\sect","\\S"),pa("\\spades","\\spadesuit"),pa("\\sub","\\subset"),pa("\\sube","\\subseteq"),pa("\\supe","\\supseteq"),pa("\\Tau","\\mathrm{T}"),pa("\\thetasym","\\vartheta"),pa("\\weierp","\\wp"),pa("\\Zeta","\\mathrm{Z}"),pa("\\argmin","\\DOTSB\\operatorname*{arg\\,min}"),pa("\\argmax","\\DOTSB\\operatorname*{arg\\,max}"),pa("\\plim","\\DOTSB\\mathop{\\operatorname{plim}}\\limits"),pa("\\bra","\\mathinner{\\langle{#1}|}"),pa("\\ket","\\mathinner{|{#1}\\rangle}"),pa("\\braket","\\mathinner{\\langle{#1}\\rangle}"),pa("\\Bra","\\left\\langle#1\\right|"),pa("\\Ket","\\left|#1\\right\\rangle"),pa("\\blue","\\textcolor{##6495ed}{#1}"),pa("\\orange","\\textcolor{##ffa500}{#1}"),pa("\\pink","\\textcolor{##ff00af}{#1}"),pa("\\red","\\textcolor{##df0030}{#1}"),pa("\\green","\\textcolor{##28ae7b}{#1}"),pa("\\gray","\\textcolor{gray}{#1}"),pa("\\purple","\\textcolor{##9d38bd}{#1}"),pa("\\blueA","\\textcolor{##ccfaff}{#1}"),pa("\\blueB","\\textcolor{##80f6ff}{#1}"),pa("\\blueC","\\textcolor{##63d9ea}{#1}"),pa("\\blueD","\\textcolor{##11accd}{#1}"),pa("\\blueE","\\textcolor{##0c7f99}{#1}"),pa("\\tealA","\\textcolor{##94fff5}{#1}"),pa("\\tealB","\\textcolor{##26edd5}{#1}"),pa("\\tealC","\\textcolor{##01d1c1}{#1}"),pa("\\tealD","\\textcolor{##01a995}{#1}"),pa("\\tealE","\\textcolor{##208170}{#1}"),pa("\\greenA","\\textcolor{##b6ffb0}{#1}"),pa("\\greenB","\\textcolor{##8af281}{#1}"),pa("\\greenC","\\textcolor{##74cf70}{#1}"),pa("\\greenD","\\textcolor{##1fab54}{#1}"),pa("\\greenE","\\textcolor{##0d923f}{#1}"),pa("\\goldA","\\textcolor{##ffd0a9}{#1}"),pa("\\goldB","\\textcolor{##ffbb71}{#1}"),pa("\\goldC","\\textcolor{##ff9c39}{#1}"),pa("\\goldD","\\textcolor{##e07d10}{#1}"),pa("\\goldE","\\textcolor{##a75a05}{#1}"),pa("\\redA","\\textcolor{##fca9a9}{#1}"),pa("\\redB","\\textcolor{##ff8482}{#1}"),pa("\\redC","\\textcolor{##f9685d}{#1}"),pa("\\redD","\\textcolor{##e84d39}{#1}"),pa("\\redE","\\textcolor{##bc2612}{#1}"),pa("\\maroonA","\\textcolor{##ffbde0}{#1}"),pa("\\maroonB","\\textcolor{##ff92c6}{#1}"),pa("\\maroonC","\\textcolor{##ed5fa6}{#1}"),pa("\\maroonD","\\textcolor{##ca337c}{#1}"),pa("\\maroonE","\\textcolor{##9e034e}{#1}"),pa("\\purpleA","\\textcolor{##ddd7ff}{#1}"),pa("\\purpleB","\\textcolor{##c6b9fc}{#1}"),pa("\\purpleC","\\textcolor{##aa87ff}{#1}"),pa("\\purpleD","\\textcolor{##7854ab}{#1}"),pa("\\purpleE","\\textcolor{##543b78}{#1}"),pa("\\mintA","\\textcolor{##f5f9e8}{#1}"),pa("\\mintB","\\textcolor{##edf2df}{#1}"),pa("\\mintC","\\textcolor{##e0e5cc}{#1}"),pa("\\grayA","\\textcolor{##f6f7f7}{#1}"),pa("\\grayB","\\textcolor{##f0f1f2}{#1}"),pa("\\grayC","\\textcolor{##e3e5e6}{#1}"),pa("\\grayD","\\textcolor{##d6d8da}{#1}"),pa("\\grayE","\\textcolor{##babec2}{#1}"),pa("\\grayF","\\textcolor{##888d93}{#1}"),pa("\\grayG","\\textcolor{##626569}{#1}"),pa("\\grayH","\\textcolor{##3b3e40}{#1}"),pa("\\grayI","\\textcolor{##21242c}{#1}"),pa("\\kaBlue","\\textcolor{##314453}{#1}"),pa("\\kaGreen","\\textcolor{##71B307}{#1}");var ba={"\\relax":!0,"^":!0,_:!0,"\\limits":!0,"\\nolimits":!0},ya=function(){function t(t,e,r){this.settings=void 0,this.expansionCount=void 0,this.lexer=void 0,this.macros=void 0,this.stack=void 0,this.mode=void 0,this.settings=e,this.expansionCount=0,this.feed(t),this.macros=new ma(ua,e.macros),this.mode=r,this.stack=[]}var e=t.prototype;return e.feed=function(t){this.lexer=new ha(t,this.settings)},e.switchMode=function(t){this.mode=t},e.beginGroup=function(){this.macros.beginGroup()},e.endGroup=function(){this.macros.endGroup()},e.future=function(){return 0===this.stack.length&&this.pushToken(this.lexer.lex()),this.stack[this.stack.length-1]},e.popToken=function(){return this.future(),this.stack.pop()},e.pushToken=function(t){this.stack.push(t)},e.pushTokens=function(t){var e;(e=this.stack).push.apply(e,t)},e.consumeSpaces=function(){for(;;){if(" "!==this.future().text)break;this.stack.pop()}},e.consumeArgs=function(t){for(var e=[],r=0;r<t;++r){this.consumeSpaces();var a=this.popToken();if("{"===a.text){for(var n=[],i=1;0!==i;){var s=this.popToken();if(n.push(s),"{"===s.text)++i;else if("}"===s.text)--i;else if("EOF"===s.text)throw new o("End of input in macro argument",a)}n.pop(),n.reverse(),e[r]=n}else{if("EOF"===a.text)throw new o("End of input expecting macro argument");e[r]=[a]}}return e},e.expandOnce=function(t){var e=this.popToken(),r=e.text,a=e.noexpand?null:this._getExpansion(r);if(null==a||t&&a.unexpandable){if(t&&null==a&&"\\"===r[0]&&!this.isDefined(r))throw new o("Undefined control sequence: "+r);return this.pushToken(e),e}if(this.expansionCount++,this.expansionCount>this.settings.maxExpand)throw new o("Too many expansions: infinite loop or need to increase maxExpand setting");var n=a.tokens;if(a.numArgs)for(var i=this.consumeArgs(a.numArgs),s=(n=n.slice()).length-1;s>=0;--s){var l=n[s];if("#"===l.text){if(0===s)throw new o("Incomplete placeholder at end of macro body",l);if("#"===(l=n[--s]).text)n.splice(s+1,1);else{if(!/^[1-9]$/.test(l.text))throw new o("Not a valid argument number",l);var h;(h=n).splice.apply(h,[s,2].concat(i[+l.text-1]))}}}return this.pushTokens(n),n},e.expandAfterFuture=function(){return this.expandOnce(),this.future()},e.expandNextToken=function(){for(;;){var t=this.expandOnce();if(t instanceof n){if("\\relax"!==t.text&&!t.treatAsRelax)return this.stack.pop();this.stack.pop()}}throw new Error},e.expandMacro=function(t){return this.macros.has(t)?this.expandTokens([new n(t)]):void 0},e.expandTokens=function(t){var e=[],r=this.stack.length;for(this.pushTokens(t);this.stack.length>r;){var a=this.expandOnce(!0);a instanceof n&&(a.treatAsRelax&&(a.noexpand=!1,a.treatAsRelax=!1),e.push(this.stack.pop()))}return e},e.expandMacroAsText=function(t){var e=this.expandMacro(t);return e?e.map(function(t){return t.text}).join(""):e},e._getExpansion=function(t){var e=this.macros.get(t);if(null==e)return e;var r="function"==typeof e?e(this):e;if("string"==typeof r){var a=0;if(-1!==r.indexOf("#"))for(var n=r.replace(/##/g,"");-1!==n.indexOf("#"+(a+1));)++a;for(var i=new ha(r,this.settings),o=[],s=i.lex();"EOF"!==s.text;)o.push(s),s=i.lex();return o.reverse(),{tokens:o,numArgs:a}}return r},e.isDefined=function(t){return this.macros.has(t)||ia.hasOwnProperty(t)||j.math.hasOwnProperty(t)||j.text.hasOwnProperty(t)||ba.hasOwnProperty(t)},e.isExpandable=function(t){var e=this.macros.get(t);return null!=e?"string"==typeof e||"function"==typeof e||!e.unexpandable:ia.hasOwnProperty(t)},t}(),wa={"\u0301":{text:"\\'",math:"\\acute"},"\u0300":{text:"\\`",math:"\\grave"},"\u0308":{text:'\\"',math:"\\ddot"},"\u0303":{text:"\\~",math:"\\tilde"},"\u0304":{text:"\\=",math:"\\bar"},"\u0306":{text:"\\u",math:"\\breve"},"\u030c":{text:"\\v",math:"\\check"},"\u0302":{text:"\\^",math:"\\hat"},"\u0307":{text:"\\.",math:"\\dot"},"\u030a":{text:"\\r",math:"\\mathring"},"\u030b":{text:"\\H"}},ka={"\xe1":"a\u0301","\xe0":"a\u0300","\xe4":"a\u0308","\u01df":"a\u0308\u0304","\xe3":"a\u0303","\u0101":"a\u0304","\u0103":"a\u0306","\u1eaf":"a\u0306\u0301","\u1eb1":"a\u0306\u0300","\u1eb5":"a\u0306\u0303","\u01ce":"a\u030c","\xe2":"a\u0302","\u1ea5":"a\u0302\u0301","\u1ea7":"a\u0302\u0300","\u1eab":"a\u0302\u0303","\u0227":"a\u0307","\u01e1":"a\u0307\u0304","\xe5":"a\u030a","\u01fb":"a\u030a\u0301","\u1e03":"b\u0307","\u0107":"c\u0301","\u010d":"c\u030c","\u0109":"c\u0302","\u010b":"c\u0307","\u010f":"d\u030c","\u1e0b":"d\u0307","\xe9":"e\u0301","\xe8":"e\u0300","\xeb":"e\u0308","\u1ebd":"e\u0303","\u0113":"e\u0304","\u1e17":"e\u0304\u0301","\u1e15":"e\u0304\u0300","\u0115":"e\u0306","\u011b":"e\u030c","\xea":"e\u0302","\u1ebf":"e\u0302\u0301","\u1ec1":"e\u0302\u0300","\u1ec5":"e\u0302\u0303","\u0117":"e\u0307","\u1e1f":"f\u0307","\u01f5":"g\u0301","\u1e21":"g\u0304","\u011f":"g\u0306","\u01e7":"g\u030c","\u011d":"g\u0302","\u0121":"g\u0307","\u1e27":"h\u0308","\u021f":"h\u030c","\u0125":"h\u0302","\u1e23":"h\u0307","\xed":"i\u0301","\xec":"i\u0300","\xef":"i\u0308","\u1e2f":"i\u0308\u0301","\u0129":"i\u0303","\u012b":"i\u0304","\u012d":"i\u0306","\u01d0":"i\u030c","\xee":"i\u0302","\u01f0":"j\u030c","\u0135":"j\u0302","\u1e31":"k\u0301","\u01e9":"k\u030c","\u013a":"l\u0301","\u013e":"l\u030c","\u1e3f":"m\u0301","\u1e41":"m\u0307","\u0144":"n\u0301","\u01f9":"n\u0300","\xf1":"n\u0303","\u0148":"n\u030c","\u1e45":"n\u0307","\xf3":"o\u0301","\xf2":"o\u0300","\xf6":"o\u0308","\u022b":"o\u0308\u0304","\xf5":"o\u0303","\u1e4d":"o\u0303\u0301","\u1e4f":"o\u0303\u0308","\u022d":"o\u0303\u0304","\u014d":"o\u0304","\u1e53":"o\u0304\u0301","\u1e51":"o\u0304\u0300","\u014f":"o\u0306","\u01d2":"o\u030c","\xf4":"o\u0302","\u1ed1":"o\u0302\u0301","\u1ed3":"o\u0302\u0300","\u1ed7":"o\u0302\u0303","\u022f":"o\u0307","\u0231":"o\u0307\u0304","\u0151":"o\u030b","\u1e55":"p\u0301","\u1e57":"p\u0307","\u0155":"r\u0301","\u0159":"r\u030c","\u1e59":"r\u0307","\u015b":"s\u0301","\u1e65":"s\u0301\u0307","\u0161":"s\u030c","\u1e67":"s\u030c\u0307","\u015d":"s\u0302","\u1e61":"s\u0307","\u1e97":"t\u0308","\u0165":"t\u030c","\u1e6b":"t\u0307","\xfa":"u\u0301","\xf9":"u\u0300","\xfc":"u\u0308","\u01d8":"u\u0308\u0301","\u01dc":"u\u0308\u0300","\u01d6":"u\u0308\u0304","\u01da":"u\u0308\u030c","\u0169":"u\u0303","\u1e79":"u\u0303\u0301","\u016b":"u\u0304","\u1e7b":"u\u0304\u0308","\u016d":"u\u0306","\u01d4":"u\u030c","\xfb":"u\u0302","\u016f":"u\u030a","\u0171":"u\u030b","\u1e7d":"v\u0303","\u1e83":"w\u0301","\u1e81":"w\u0300","\u1e85":"w\u0308","\u0175":"w\u0302","\u1e87":"w\u0307","\u1e98":"w\u030a","\u1e8d":"x\u0308","\u1e8b":"x\u0307","\xfd":"y\u0301","\u1ef3":"y\u0300","\xff":"y\u0308","\u1ef9":"y\u0303","\u0233":"y\u0304","\u0177":"y\u0302","\u1e8f":"y\u0307","\u1e99":"y\u030a","\u017a":"z\u0301","\u017e":"z\u030c","\u1e91":"z\u0302","\u017c":"z\u0307","\xc1":"A\u0301","\xc0":"A\u0300","\xc4":"A\u0308","\u01de":"A\u0308\u0304","\xc3":"A\u0303","\u0100":"A\u0304","\u0102":"A\u0306","\u1eae":"A\u0306\u0301","\u1eb0":"A\u0306\u0300","\u1eb4":"A\u0306\u0303","\u01cd":"A\u030c","\xc2":"A\u0302","\u1ea4":"A\u0302\u0301","\u1ea6":"A\u0302\u0300","\u1eaa":"A\u0302\u0303","\u0226":"A\u0307","\u01e0":"A\u0307\u0304","\xc5":"A\u030a","\u01fa":"A\u030a\u0301","\u1e02":"B\u0307","\u0106":"C\u0301","\u010c":"C\u030c","\u0108":"C\u0302","\u010a":"C\u0307","\u010e":"D\u030c","\u1e0a":"D\u0307","\xc9":"E\u0301","\xc8":"E\u0300","\xcb":"E\u0308","\u1ebc":"E\u0303","\u0112":"E\u0304","\u1e16":"E\u0304\u0301","\u1e14":"E\u0304\u0300","\u0114":"E\u0306","\u011a":"E\u030c","\xca":"E\u0302","\u1ebe":"E\u0302\u0301","\u1ec0":"E\u0302\u0300","\u1ec4":"E\u0302\u0303","\u0116":"E\u0307","\u1e1e":"F\u0307","\u01f4":"G\u0301","\u1e20":"G\u0304","\u011e":"G\u0306","\u01e6":"G\u030c","\u011c":"G\u0302","\u0120":"G\u0307","\u1e26":"H\u0308","\u021e":"H\u030c","\u0124":"H\u0302","\u1e22":"H\u0307","\xcd":"I\u0301","\xcc":"I\u0300","\xcf":"I\u0308","\u1e2e":"I\u0308\u0301","\u0128":"I\u0303","\u012a":"I\u0304","\u012c":"I\u0306","\u01cf":"I\u030c","\xce":"I\u0302","\u0130":"I\u0307","\u0134":"J\u0302","\u1e30":"K\u0301","\u01e8":"K\u030c","\u0139":"L\u0301","\u013d":"L\u030c","\u1e3e":"M\u0301","\u1e40":"M\u0307","\u0143":"N\u0301","\u01f8":"N\u0300","\xd1":"N\u0303","\u0147":"N\u030c","\u1e44":"N\u0307","\xd3":"O\u0301","\xd2":"O\u0300","\xd6":"O\u0308","\u022a":"O\u0308\u0304","\xd5":"O\u0303","\u1e4c":"O\u0303\u0301","\u1e4e":"O\u0303\u0308","\u022c":"O\u0303\u0304","\u014c":"O\u0304","\u1e52":"O\u0304\u0301","\u1e50":"O\u0304\u0300","\u014e":"O\u0306","\u01d1":"O\u030c","\xd4":"O\u0302","\u1ed0":"O\u0302\u0301","\u1ed2":"O\u0302\u0300","\u1ed6":"O\u0302\u0303","\u022e":"O\u0307","\u0230":"O\u0307\u0304","\u0150":"O\u030b","\u1e54":"P\u0301","\u1e56":"P\u0307","\u0154":"R\u0301","\u0158":"R\u030c","\u1e58":"R\u0307","\u015a":"S\u0301","\u1e64":"S\u0301\u0307","\u0160":"S\u030c","\u1e66":"S\u030c\u0307","\u015c":"S\u0302","\u1e60":"S\u0307","\u0164":"T\u030c","\u1e6a":"T\u0307","\xda":"U\u0301","\xd9":"U\u0300","\xdc":"U\u0308","\u01d7":"U\u0308\u0301","\u01db":"U\u0308\u0300","\u01d5":"U\u0308\u0304","\u01d9":"U\u0308\u030c","\u0168":"U\u0303","\u1e78":"U\u0303\u0301","\u016a":"U\u0304","\u1e7a":"U\u0304\u0308","\u016c":"U\u0306","\u01d3":"U\u030c","\xdb":"U\u0302","\u016e":"U\u030a","\u0170":"U\u030b","\u1e7c":"V\u0303","\u1e82":"W\u0301","\u1e80":"W\u0300","\u1e84":"W\u0308","\u0174":"W\u0302","\u1e86":"W\u0307","\u1e8c":"X\u0308","\u1e8a":"X\u0307","\xdd":"Y\u0301","\u1ef2":"Y\u0300","\u0178":"Y\u0308","\u1ef8":"Y\u0303","\u0232":"Y\u0304","\u0176":"Y\u0302","\u1e8e":"Y\u0307","\u0179":"Z\u0301","\u017d":"Z\u030c","\u1e90":"Z\u0302","\u017b":"Z\u0307","\u03ac":"\u03b1\u0301","\u1f70":"\u03b1\u0300","\u1fb1":"\u03b1\u0304","\u1fb0":"\u03b1\u0306","\u03ad":"\u03b5\u0301","\u1f72":"\u03b5\u0300","\u03ae":"\u03b7\u0301","\u1f74":"\u03b7\u0300","\u03af":"\u03b9\u0301","\u1f76":"\u03b9\u0300","\u03ca":"\u03b9\u0308","\u0390":"\u03b9\u0308\u0301","\u1fd2":"\u03b9\u0308\u0300","\u1fd1":"\u03b9\u0304","\u1fd0":"\u03b9\u0306","\u03cc":"\u03bf\u0301","\u1f78":"\u03bf\u0300","\u03cd":"\u03c5\u0301","\u1f7a":"\u03c5\u0300","\u03cb":"\u03c5\u0308","\u03b0":"\u03c5\u0308\u0301","\u1fe2":"\u03c5\u0308\u0300","\u1fe1":"\u03c5\u0304","\u1fe0":"\u03c5\u0306","\u03ce":"\u03c9\u0301","\u1f7c":"\u03c9\u0300","\u038e":"\u03a5\u0301","\u1fea":"\u03a5\u0300","\u03ab":"\u03a5\u0308","\u1fe9":"\u03a5\u0304","\u1fe8":"\u03a5\u0306","\u038f":"\u03a9\u0301","\u1ffa":"\u03a9\u0300"},Sa=function(){function t(t,e){this.mode=void 0,this.gullet=void 0,this.settings=void 0,this.leftrightDepth=void 0,this.nextToken=void 0,this.mode="math",this.gullet=new ya(t,e,this.mode),this.settings=e,this.leftrightDepth=0}var e=t.prototype;return e.expect=function(t,e){if(void 0===e&&(e=!0),this.fetch().text!==t)throw new o("Expected '"+t+"', got '"+this.fetch().text+"'",this.fetch());e&&this.consume()},e.consume=function(){this.nextToken=null},e.fetch=function(){return null==this.nextToken&&(this.nextToken=this.gullet.expandNextToken()),this.nextToken},e.switchMode=function(t){this.mode=t,this.gullet.switchMode(t)},e.parse=function(){this.settings.globalGroup||this.gullet.beginGroup(),this.settings.colorIsTextColor&&this.gullet.macros.set("\\color","\\textcolor");var t=this.parseExpression(!1);return this.expect("EOF"),this.settings.globalGroup||this.gullet.endGroup(),t},e.parseExpression=function(e,r){for(var a=[];;){"math"===this.mode&&this.consumeSpaces();var n=this.fetch();if(-1!==t.endOfExpression.indexOf(n.text))break;if(r&&n.text===r)break;if(e&&ia[n.text]&&ia[n.text].infix)break;var i=this.parseAtom(r);if(!i)break;"internal"!==i.type&&a.push(i)}return"text"===this.mode&&this.formLigatures(a),this.handleInfixNodes(a)},e.handleInfixNodes=function(t){for(var e,r=-1,a=0;a<t.length;a++)if("infix"===t[a].type){if(-1!==r)throw new o("only one infix operator per group",t[a].token);r=a,e=t[a].replaceWith}if(-1!==r&&e){var n,i,s=t.slice(0,r),l=t.slice(r+1);return n=1===s.length&&"ordgroup"===s[0].type?s[0]:{type:"ordgroup",mode:this.mode,body:s},i=1===l.length&&"ordgroup"===l[0].type?l[0]:{type:"ordgroup",mode:this.mode,body:l},["\\\\abovefrac"===e?this.callFunction(e,[n,t[r],i],[]):this.callFunction(e,[n,i],[])]}return t},e.handleSupSubscript=function(e){var r=this.fetch(),a=r.text;this.consume();var n=this.parseGroup(e,!1,t.SUPSUB_GREEDINESS,void 0,void 0,!0);if(!n)throw new o("Expected group after '"+a+"'",r);return n},e.formatUnsupportedCmd=function(t){for(var e=[],r=0;r<t.length;r++)e.push({type:"textord",mode:"text",text:t[r]});var a={type:"text",mode:this.mode,body:e};return{type:"color",mode:this.mode,color:this.settings.errorColor,body:[a]}},e.parseAtom=function(t){var e,r,a=this.parseGroup("atom",!1,null,t);if("text"===this.mode)return a;for(;;){this.consumeSpaces();var n=this.fetch();if("\\limits"===n.text||"\\nolimits"===n.text){if(a&&"op"===a.type){var i="\\limits"===n.text;a.limits=i,a.alwaysHandleSupSub=!0}else{if(!a||"operatorname"!==a.type||!a.alwaysHandleSupSub)throw new o("Limit controls must follow a math operator",n);var s="\\limits"===n.text;a.limits=s}this.consume()}else if("^"===n.text){if(e)throw new o("Double superscript",n);e=this.handleSupSubscript("superscript")}else if("_"===n.text){if(r)throw new o("Double subscript",n);r=this.handleSupSubscript("subscript")}else{if("'"!==n.text)break;if(e)throw new o("Double superscript",n);var l={type:"textord",mode:this.mode,text:"\\prime"},h=[l];for(this.consume();"'"===this.fetch().text;)h.push(l),this.consume();"^"===this.fetch().text&&h.push(this.handleSupSubscript("superscript")),e={type:"ordgroup",mode:this.mode,body:h}}}return e||r?{type:"supsub",mode:this.mode,base:a,sup:e,sub:r}:a},e.parseFunction=function(t,e,r){var a=this.fetch(),n=a.text,i=ia[n];if(!i)return null;if(this.consume(),null!=r&&i.greediness<=r)throw new o("Got function '"+n+"' with no arguments"+(e?" as "+e:""),a);if("text"===this.mode&&!i.allowedInText)throw new o("Can't use function '"+n+"' in text mode",a);if("math"===this.mode&&!1===i.allowedInMath)throw new o("Can't use function '"+n+"' in math mode",a);var s=this.parseArguments(n,i),l=s.args,h=s.optArgs;return this.callFunction(n,l,h,a,t)},e.callFunction=function(t,e,r,a,n){var i={funcName:t,parser:this,token:a,breakOnTokenText:n},s=ia[t];if(s&&s.handler)return s.handler(i,e,r);throw new o("No function handler for "+t)},e.parseArguments=function(t,e){var r=e.numArgs+e.numOptionalArgs;if(0===r)return{args:[],optArgs:[]};for(var a=e.greediness,n=[],i=[],s=0;s<r;s++){var l=e.argTypes&&e.argTypes[s],h=s<e.numOptionalArgs,m=s>0&&!h||0===s&&!h&&"math"===this.mode,c=this.parseGroupOfType("argument to '"+t+"'",l,h,a,m);if(!c){if(h){i.push(null);continue}throw new o("Expected group after '"+t+"'",this.fetch())}(h?i:n).push(c)}return{args:n,optArgs:i}},e.parseGroupOfType=function(t,e,r,a,n){switch(e){case"color":return n&&this.consumeSpaces(),this.parseColorGroup(r);case"size":return n&&this.consumeSpaces(),this.parseSizeGroup(r);case"url":return this.parseUrlGroup(r,n);case"math":case"text":return this.parseGroup(t,r,a,void 0,e,n);case"hbox":var i=this.parseGroup(t,r,a,void 0,"text",n);return i?{type:"styling",mode:i.mode,body:[i],style:"text"}:i;case"raw":if(n&&this.consumeSpaces(),r&&"{"===this.fetch().text)return null;var s=this.parseStringGroup("raw",r,!0);if(s)return{type:"raw",mode:"text",string:s.text};throw new o("Expected raw group",this.fetch());case"original":case null:case void 0:return this.parseGroup(t,r,a,void 0,void 0,n);default:throw new o("Unknown group type as "+t,this.fetch())}},e.consumeSpaces=function(){for(;" "===this.fetch().text;)this.consume()},e.parseStringGroup=function(t,e,r){var a=e?"[":"{",n=e?"]":"}",i=this.fetch();if(i.text!==a){if(e)return null;if(r&&"EOF"!==i.text&&/[^{}[\]]/.test(i.text))return this.consume(),i}var s=this.mode;this.mode="text",this.expect(a);for(var l,h="",m=this.fetch(),c=0,u=m;(l=this.fetch()).text!==n||r&&c>0;){switch(l.text){case"EOF":throw new o("Unexpected end of input in "+t,m.range(u,h));case a:c++;break;case n:c--}h+=(u=l).text,this.consume()}return this.expect(n),this.mode=s,m.range(u,h)},e.parseRegexGroup=function(t,e){var r=this.mode;this.mode="text";for(var a,n=this.fetch(),i=n,s="";"EOF"!==(a=this.fetch()).text&&t.test(s+a.text);)s+=(i=a).text,this.consume();if(""===s)throw new o("Invalid "+e+": '"+n.text+"'",n);return this.mode=r,n.range(i,s)},e.parseColorGroup=function(t){var e=this.parseStringGroup("color",t);if(!e)return null;var r=/^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(e.text);if(!r)throw new o("Invalid color: '"+e.text+"'",e);var a=r[0];return/^[0-9a-f]{6}$/i.test(a)&&(a="#"+a),{type:"color-token",mode:this.mode,color:a}},e.parseSizeGroup=function(t){var e,r=!1;if(!(e=t||"{"===this.fetch().text?this.parseStringGroup("size",t):this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/,"size")))return null;t||0!==e.text.length||(e.text="0pt",r=!0);var a=/([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(e.text);if(!a)throw new o("Invalid size: '"+e.text+"'",e);var n={number:+(a[1]+a[2]),unit:a[3]};if(!At(n))throw new o("Invalid unit: '"+n.unit+"'",e);return{type:"size",mode:this.mode,value:n,isBlank:r}},e.parseUrlGroup=function(t,e){this.gullet.lexer.setCatcode("%",13);var r=this.parseStringGroup("url",t,!0);if(this.gullet.lexer.setCatcode("%",14),!r)return null;var a=r.text.replace(/\\([#$%&~_^{}])/g,"$1");return{type:"url",mode:this.mode,url:a}},e.parseGroup=function(e,r,n,i,s,l){var h=this.mode;s&&this.switchMode(s),l&&this.consumeSpaces();var m,c=this.fetch(),u=c.text;if(r?"["===u:"{"===u||"\\begingroup"===u){this.consume();var p=t.endOfGroup[u];this.gullet.beginGroup();var d=this.parseExpression(!1,p),f=this.fetch();this.expect(p),this.gullet.endGroup(),m={type:"ordgroup",mode:this.mode,loc:a.range(c,f),body:d,semisimple:"\\begingroup"===u||void 0}}else if(r)m=null;else if(null==(m=this.parseFunction(i,e,n)||this.parseSymbol())&&"\\"===u[0]&&!ba.hasOwnProperty(u)){if(this.settings.throwOnError)throw new o("Undefined control sequence: "+u,c);m=this.formatUnsupportedCmd(u),this.consume()}return s&&this.switchMode(h),m},e.formLigatures=function(t){for(var e=t.length-1,r=0;r<e;++r){var n=t[r],i=n.text;"-"===i&&"-"===t[r+1].text&&(r+1<e&&"-"===t[r+2].text?(t.splice(r,3,{type:"textord",mode:"text",loc:a.range(n,t[r+2]),text:"---"}),e-=2):(t.splice(r,2,{type:"textord",mode:"text",loc:a.range(n,t[r+1]),text:"--"}),e-=1)),"'"!==i&&"`"!==i||t[r+1].text!==i||(t.splice(r,2,{type:"textord",mode:"text",loc:a.range(n,t[r+1]),text:i+i}),e-=1)}},e.parseSymbol=function(){var t=this.fetch(),e=t.text;if(/^\\verb[^a-zA-Z]/.test(e)){this.consume();var r=e.slice(5),n="*"===r.charAt(0);if(n&&(r=r.slice(1)),r.length<2||r.charAt(0)!==r.slice(-1))throw new o("\\verb assertion failed --\n                    please report what input caused this bug");return{type:"verb",mode:"text",body:r=r.slice(1,-1),star:n}}ka.hasOwnProperty(e[0])&&!j[this.mode][e[0]]&&(this.settings.strict&&"math"===this.mode&&this.settings.reportNonstrict("unicodeTextInMathMode",'Accented Unicode text character "'+e[0]+'" used in math mode',t),e=ka[e[0]]+e.substr(1));var i,s=sa.exec(e);if(s&&("i"===(e=e.substring(0,s.index))?e="\u0131":"j"===e&&(e="\u0237")),j[this.mode][e]){this.settings.strict&&"math"===this.mode&&"\xc7\xd0\xde\xe7\xfe".indexOf(e)>=0&&this.settings.reportNonstrict("unicodeTextInMathMode",'Latin-1/Unicode text character "'+e[0]+'" used in math mode',t);var l,h=j[this.mode][e].group,m=a.range(t);if(W.hasOwnProperty(h)){var c=h;l={type:"atom",mode:this.mode,family:c,loc:m,text:e}}else l={type:h,mode:this.mode,loc:m,text:e};i=l}else{if(!(e.charCodeAt(0)>=128))return null;this.settings.strict&&(M(e.charCodeAt(0))?"math"===this.mode&&this.settings.reportNonstrict("unicodeTextInMathMode",'Unicode text character "'+e[0]+'" used in math mode',t):this.settings.reportNonstrict("unknownSymbol",'Unrecognized Unicode character "'+e[0]+'" ('+e.charCodeAt(0)+")",t)),i={type:"textord",mode:"text",loc:a.range(t),text:e}}if(this.consume(),s)for(var u=0;u<s[0].length;u++){var p=s[0][u];if(!wa[p])throw new o("Unknown accent ' "+p+"'",t);var d=wa[p][this.mode];if(!d)throw new o("Accent "+p+" unsupported in "+this.mode+" mode",t);i={type:"accent",mode:this.mode,loc:a.range(t),label:d,isStretchy:!1,isShifty:!0,base:i}}return i},t}();Sa.endOfExpression=["}","\\endgroup","\\end","\\right","&"],Sa.endOfGroup={"[":"]","{":"}","\\begingroup":"\\endgroup"},Sa.SUPSUB_GREEDINESS=1;var Ma=function(t,e){if(!("string"==typeof t||t instanceof String))throw new TypeError("KaTeX can only parse string typed expression");var r=new Sa(t,e);delete r.gullet.macros.current["\\df@tag"];var a=r.parse();if(r.gullet.macros.get("\\df@tag")){if(!e.displayMode)throw new o("\\tag works only in display equations");r.gullet.feed("\\df@tag"),a=[{type:"tag",mode:"text",body:a,tag:r.parse()}]}return a},za=function(t,e,r){e.textContent="";var a=Ta(t,r).toNode();e.appendChild(a)};"undefined"!=typeof document&&"CSS1Compat"!==document.compatMode&&("undefined"!=typeof console&&console.warn("Warning: KaTeX doesn't work in quirks mode. Make sure your website has a suitable doctype."),za=function(){throw new o("KaTeX doesn't work in quirks mode.")});var Aa=function(t,e,r){if(r.throwOnError||!(t instanceof o))throw t;var a=Dt.makeSpan(["katex-error"],[new E(e)]);return a.setAttribute("title",t.toString()),a.setAttribute("style","color:"+r.errorColor),a},Ta=function(t,e){var r=new u(e);try{var a=Ma(t,r);return ke(a,t,r)}catch(e){return Aa(e,t,r)}},Ba={version:"0.12.0",render:za,renderToString:function(t,e){return Ta(t,e).toMarkup()},ParseError:o,__parse:function(t,e){var r=new u(e);return Ma(t,r)},__renderToDomTree:Ta,__renderToHTMLTree:function(t,e){var r=new u(e);try{return function(t,e,r){var a=le(t,ye(r)),n=Dt.makeSpan(["katex"],[a]);return we(n,r)}(Ma(t,r),0,r)}catch(e){return Aa(e,t,r)}},__setFontMetrics:function(t,e){F[t]=e},__defineSymbol:$,__defineMacro:pa,__domTree:{Span:N,Anchor:I,SymbolNode:E,SvgNode:L,PathNode:P,LineNode:D}};e.default=Ba}]).default});
\ No newline at end of file
diff --git a/previews/PR41/metal/index.html b/previews/PR41/metal/index.html
deleted file mode 100644
index a22e9c3..0000000
--- a/previews/PR41/metal/index.html
+++ /dev/null
@@ -1,185 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-  
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>Metal ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-<!-- Content appended here -->
-
-<h1 id="metal"><a href="#metal" class="header-anchor">Metal</a></h1>
-
-<p>
-  <a href="https://github.com/JuliaGPU/Metal.jl">
-    <img src="https://img.shields.io/github/stars/JuliaGPU/Metal.jl?style=social" alt>
-  </a>
-</p>
-
-<p>Metal is a compute shader API that can be used to program GPUs found in Apple hardware. The <a href="https://github.com/JuliaGPU/Metal.jl">Metal.jl</a> package makes it possible to do so from Julia, with support for Mac devices that contain an M-series chip. The package is in early development, but already provides most features for application development.</p>
-<p>Similarly to other GPU support packages in Julia, Metal.jl makes it possible to work with accelerators at three distinct abstraction levels:</p>
-<ul>
-<li><p>high-level, using the <code>MtlArray</code> array type and Julia&#39;s powerful array abstractions;</p>
-</li>
-<li><p>by writing your own kernels and launching them using the <code>@metal</code> macro;</p>
-</li>
-<li><p>using the low-level Metal API wrappers in the <code>MTL</code> submodule.</p>
-</li>
-</ul>
-<p>For more information, refer to the <a href="/previews/PR41/post/2022-06-24-metal/">introductory blog post</a> and the <a href="/previews/PR41/post/2023-03-03-metal_0.2/">post on Metal Performance Shaders</a>.</p>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/oneapi/index.html b/previews/PR41/oneapi/index.html
deleted file mode 100644
index 67e968d..0000000
--- a/previews/PR41/oneapi/index.html
+++ /dev/null
@@ -1,195 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-  
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>Intel oneAPI ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-<!-- Content appended here -->
-
-<h1 id="intel_oneapi"><a href="#intel_oneapi" class="header-anchor">Intel oneAPI</a></h1>
-
-<p>
-  <a href="https://github.com/JuliaGPU/oneAPI.jl">
-    <img src="https://img.shields.io/github/stars/JuliaGPU/oneAPI.jl?style=social" alt>
-  </a>
-</p>
-
-<p>oneAPI is an open standard for programming hardware accelerators, originally designed by Intel. The <a href="https://github.com/JuliaGPU/oneAPI.jl">oneAPI.jl</a> package offers a Julia interface to this programming model. The package is in early development, but already provides most features for application development.</p>
-<p>Similarly to other GPU support packages in Julia, oneAPI.jl makes it possible to work with accelerators at three distinct abstraction levels:</p>
-<ul>
-<li><p>high-level, using the <code>oneArray</code> array type and Julia&#39;s powerful array abstractions;</p>
-</li>
-<li><p>by writing your own kernels and launching them using the <code>@oneapi</code> macro;</p>
-</li>
-<li><p>using the low-level Level Zero wrappers in the <code>oneL0</code> submodule.</p>
-</li>
-</ul>
-<p>For more information, refer to the following blog posts:</p>
-<ul>
-<li><p><a href="/previews/PR41/post/2020-11-05-oneapi_0.1/">Introductory blog post</a></p>
-</li>
-<li><p><a href="/previews/PR41/post/2022-04-06-oneapi_update/">OneAPI status update blog post</a></p>
-</li>
-<li><p><a href="/previews/PR41/post/2023-02-08-oneapi_1.0/">OneMKL and ARC GPU support</a></p>
-</li>
-<li><p><a href="/previews/PR41/post/2023-07-19-oneapi_profiling/">Profiling oneAPI.jl applications with VTune</a></p>
-</li>
-</ul>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/other/index.html b/previews/PR41/other/index.html
deleted file mode 100644
index 439d3b1..0000000
--- a/previews/PR41/other/index.html
+++ /dev/null
@@ -1,174 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-  
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>Other ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-<!-- Content appended here -->
-
-<h1 id="other"><a href="#other" class="header-anchor">Other</a></h1>
-<p>Several other back-ends exist, not all of them with the same level of polish or support as the NVIDIA and AMD back-ends.</p>
-<h2 id="opencl"><a href="#opencl" class="header-anchor">OpenCL</a></h2>
-<p>Programming OpenCL GPUs in Julia is much more limited than other supported platforms. On recent versions of Julia, only <a href="https://github.com/JuliaGPU/OpenCL.jl">OpenCL.jl</a> is available. This package can be used to compile and execute GPU kernels written in OpenCL C.</p>
-<h2 id="arrayfire"><a href="#arrayfire" class="header-anchor">ArrayFire</a></h2>
-<p>ArrayFire is a general-purpose software library that targets CPUs, GPUs, and other accelerator hardware. The <a href="https://github.com/JuliaGPU/ArrayFire.jl">ArrayFire.jl</a> package provides a Julia interface to this library, and makes it possible to program accelerators using an array abstraction built on the ArrayFire library.</p>
-<h2 id="sx-aurora"><a href="#sx-aurora" class="header-anchor">SX-Aurora</a></h2>
-<p>The <a href="https://www.nec.com/en/global/solutions/hpc/sx/index.html">NEC SX-Aurora Tsubasa</a> is a PCIe card which works as a Vector Computer. It can be programmed from Julia using the <a href="https://github.com/sx-aurora-dev/VectorEngine.jl">VectorEngine.jl</a> package, which at the moment requires a custom Julia build using a LLVM fork. Support is expected to improve due NECs involement.</p>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2019-12-12-new_site/index.html b/previews/PR41/post/2019-12-12-new_site/index.html
deleted file mode 100644
index 1e59789..0000000
--- a/previews/PR41/post/2019-12-12-new_site/index.html
+++ /dev/null
@@ -1,181 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-  
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>New website for JuliaGPU ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>New website for JuliaGPU</h1>
-      <i data-feather=calendar></i>
-<time datetime=2019-12-12>Dec 12, 2019</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>This post is located at <a href="/previews/PR41/new_site/">/new_site/</a></p>
-<p>Welcome to the new landing page for the JuliaGPU organization. This website serves as an introduction to the several packages for programming GPUs in Julia, with pointers to relevant resources for new users.</p>
-<p>The sources for this website are hosted at <a href="https://github.com/JuliaGPU/juliagpu.org">GitHub</a> and generated using Hugo, feel free to open an issue or pull request if you think it could be improved.</p>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2020-03-25-cudanative_3.0-cuarrays_2.0/index.html b/previews/PR41/post/2020-03-25-cudanative_3.0-cuarrays_2.0/index.html
deleted file mode 100644
index 734426c..0000000
--- a/previews/PR41/post/2020-03-25-cudanative_3.0-cuarrays_2.0/index.html
+++ /dev/null
@@ -1,238 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>CUDAnative.jl 3.0 and CuArrays.jl 2.0 ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>CUDAnative.jl 3.0 and CuArrays.jl 2.0</h1>
-      <i data-feather=calendar></i>
-<time datetime=2020-3-25>Mar 25, 2020</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>This post is located at <a href="/previews/PR41/cudanative_3.0-cuarrays_2.0/">/cudanative_3.0-cuarrays_2.0/</a></p>
-<p>This release of the Julia CUDA stack contains some exciting new features: automatic installation of CUDA using artifacts, full support for GPU method redefinitions, and experimental support for multitasking and multithreading. The release is technically breaking, but most end-users should not be affected.</p>
-<h2 id="api_changes"><a href="#api_changes" class="header-anchor">API changes</a></h2>
-<p>Changes to certain APIs require these releases to be breaking, however, most users should not be affected and chances are you can just bump your Compat entries without any additional changes. Flux.jl users will have to wait a little longer though, as the package uses non-public APIs that have changed and <a href="https://github.com/FluxML/Flux.jl/pull/1050">requires an update</a>.</p>
-<h2 id="artifacts"><a href="#artifacts" class="header-anchor">Artifacts</a></h2>
-<p>CUDA and its dependencies will now be automatically installed using artifacts generated by BinaryBuilder.jl. This greatly improves usability, and only requires a functioning NVIDIA driver:</p>
-<pre><code class="language-julia-repl">julia&gt; ENV&#91;&quot;JULIA_DEBUG&quot;&#93; &#61; &quot;CUDAnative&quot;
-
-julia&gt; using CUDAnative
-
-julia&gt; CUDAnative.version&#40;&#41;
-┌ Debug: Trying to use artifacts...
-└ @ CUDAnative CUDAnative/src/bindeps.jl:52
-┌ Debug: Using CUDA 10.2.89 from an artifact at /depot/artifacts/...
-└ @ CUDAnative CUDAnative/src/bindeps.jl:108
-v&quot;10.2.89&quot;</code></pre>
-<p>Use of a local installation is still possible by setting the environment variable <code>JULIA_CUDA_USE_BINARYBUILDER</code> to false. For more details, refer to <a href="https://cuda.juliagpu.org/stable/installation/overview/">the documentation</a>.</p>
-<p>Relevant PRs: <a href="https://github.com/JuliaGPU/CUDAnative.jl/pull/492">CUDAnative.jl#492</a> and <a href="https://github.com/JuliaGPU/CuArrays.jl/pull/490">CuArrays.jl#490</a></p>
-<h2 id="method_redefinitions"><a href="#method_redefinitions" class="header-anchor">Method redefinitions</a></h2>
-<p>CUDAnative 3.0 now fully supports method redefinitions, commonly referred to as <a href="https://github.com/JuliaLang/julia/issues/265">Julia issue #265</a>, and makes it possible to use interactive programming tools like Revise.jl:</p>
-<pre><code class="language-julia-repl">julia&gt; child&#40;&#41; &#61; 0
-julia&gt; parent&#40;&#41; &#61; &#40;@cuprintln&#40;child&#40;&#41;&#41;; return&#41;
-julia&gt; @cuda parent&#40;&#41;
-0
-
-julia&gt; parent&#40;&#41; &#61; &#40;@cuprintln&#40;child&#40;&#41; &#43; 1&#41;; return&#41;
-julia&gt; @cuda parent&#40;&#41;
-1
-
-
-julia&gt; child&#40;&#41; &#61; 1
-julia&gt; @cuda parent&#40;&#41;
-2</code></pre>
-<p>Relevant PRs: <a href="https://github.com/JuliaGPU/CUDAnative.jl/pull/581">CUDAnative.jl#581</a></p>
-<h2 id="experimental_multitasking_and_multithreading"><a href="#experimental_multitasking_and_multithreading" class="header-anchor">Experimental: Multitasking and multithreading</a></h2>
-<p>With CUDAnative 3.0 and CuArrays 2.0 you can now use Julia tasks and threads to organize your code. In combination with CUDA streams, this makes it possible to execute kernels and other GPU operations in parallel:</p>
-<pre><code class="language-julia">@sync begin
-    function my_expensive_kernel&#40;&#41;
-        return
-    end
-    @async @cuda stream&#61;CuStream&#40;&#41; my_expensive_kernel&#40;&#41;
-    @async @cuda stream&#61;CuStream&#40;&#41; my_expensive_kernel&#40;&#41;
-end</code></pre>
-<p>Every task, whether it runs on a separate thread or not, can work with a different device, as well as independently work with CUDA libraries like CUBLAS and CUFFT.</p>
-<p>Note that this support is experimental, and lacks certain features to be fully effective. For one, the CuArrays memory allocator is not device-aware, and it is currently not possible to configure the CUDA stream for operations like map or broadcast.</p>
-<p>Relevant PRs: <a href="https://github.com/JuliaGPU/CUDAnative.jl/pull/609">CUDAnative.jl#609</a> and <a href="https://github.com/JuliaGPU/CuArrays.jl/pull/645">CuArrays.jl#645</a></p>
-<h2 id="minor_changes"><a href="#minor_changes" class="header-anchor">Minor changes</a></h2>
-<p>GPU kernels are now name-mangled like C&#43;&#43;, which offers better integration with NVIDIA tools &#40;<a href="https://github.com/JuliaGPU/CUDAnative.jl/pull/559">CUDAnative.jl#559</a>&#41;.</p>
-<p>A better N-dimensional <code>mapreducedim&#33;</code> kernel, properly integrating with all Base interfaces &#40;<a href="https://github.com/JuliaGPU/CuArrays.jl/pull/602">CuArrays.jl#602</a> and <a href="https://github.com/JuliaGPU/GPUArrays.jl/pull/246">GPUArrays#246</a>&#41;.</p>
-<p>A <code>CuIterator</code> type for batching arrays to the GPU &#40;by @jrevels, <a href="https://github.com/JuliaGPU/CuArrays.jl/pull/467">CuArrays.jl#467</a>&#41;.</p>
-<p>Integration with Base&#39;s 5-arg <code>mul&#33;</code> &#40;by @haampie, <a href="https://github.com/JuliaGPU/CuArrays.jl/pull/641">CuArrays.jl#641</a> and <a href="https://github.com/JuliaGPU/GPUArrays.jl/pull/253">GPUArrays#253</a>&#41;.</p>
-<p>Integration with Cthulhu.jl for interactive inspection of generated code &#40;<a href="https://github.com/JuliaGPU/CUDAnative.jl/issues/597">CUDAnative.jl#597</a>&#41;.</p>
-<h2 id="known_issues"><a href="#known_issues" class="header-anchor">Known issues</a></h2>
-<p>With a release as big as this one there&#39;s bound to be some bugs, e.g., with the installation of artifacts on exotic systems, or due to the many changes to make the libraries thread-safe. If you need absolute stability, please wait for a point release.</p>
-<p>There are also some known issues. CUDAnative is currently not compatible with Julia 1.5 due to Base compiler changes &#40;<a href="https://github.com/JuliaLang/julia/issues/34993">julia#34993</a>&#41;, the new <code>mapreducedim&#33;</code> kernel appears to be slower in some cases &#40;<a href="https://github.com/JuliaGPU/CuArrays.jl/issues/611">CuArrays.jl#611</a>&#41;, and there are some remaining thread-safety issues when using the non-default memory pool &#40;<a href="https://github.com/JuliaGPU/CuArrays.jl/issues/647">CuArrays.jl#647</a>&#41;.</p>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2020-07-07-cuda_1.1/imgwarp.png b/previews/PR41/post/2020-07-07-cuda_1.1/imgwarp.png
deleted file mode 100644
index 8879e2d..0000000
Binary files a/previews/PR41/post/2020-07-07-cuda_1.1/imgwarp.png and /dev/null differ
diff --git a/previews/PR41/post/2020-07-07-cuda_1.1/index.html b/previews/PR41/post/2020-07-07-cuda_1.1/index.html
deleted file mode 100644
index 9d7cb0d..0000000
--- a/previews/PR41/post/2020-07-07-cuda_1.1/index.html
+++ /dev/null
@@ -1,297 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>CUDA.jl 1.1 ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>CUDA.jl 1.1</h1>
-      <i data-feather=calendar></i>
-<time datetime=2020-7-7>Jul 7, 2020</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>CUDA.jl 1.1 marks the first feature release after merging several CUDA packages into one. It raises the minimal Julia version to 1.4, and comes with support for the impending 1.5 release.</p>
-<h2 id="cudajl_replacing_cuarrayscudanativejl"><a href="#cudajl_replacing_cuarrayscudanativejl" class="header-anchor">CUDA.jl replacing CuArrays/CUDAnative.jl</a></h2>
-<p>As <a href="https://discourse.julialang.org/t/psa-cuda-jl-replacing-cuarrays-jl-cudanative-jl-cudadrv-jl-cudaapi-jl-call-for-testing/40205">announced a while back</a>, CUDA.jl is now the new package for programming CUDA GPUs in Julia, replacing CuArrays.jl, CUDAnative.jl, CUDAdrv.jl and CUDAapi.jl. The merged package should be a drop-in replacement: All existing functionality has been ported, and almost all exported functions are still there. Applications like Flux.jl or the DiffEq.jl stack are being updated to support this change.</p>
-<h2 id="cuda_11_support"><a href="#cuda_11_support" class="header-anchor">CUDA 11 support</a></h2>
-<p>With CUDA.jl 1.1, we support the upcoming release of the CUDA toolkit. This only applies to locally-installed versions of the toolkit, i.e., you need to specify <code>JULIA_CUDA_USE_BINARYBUILDER&#61;false</code> in your environment to pick up the locally-installed release candidate of the CUDA toolkit. New features, like the third-generation tensor cores and its extended type support, or any new APIs, are not yet natively supported by Julia code.</p>
-<h2 id="nvidia_management_library_nvml"><a href="#nvidia_management_library_nvml" class="header-anchor">NVIDIA Management Library &#40;NVML&#41;</a></h2>
-<p>CUDA.jl now integrates with the NVIDIA Management Library, or NVML. With this library, it&#39;s possible to query information about the system, any GPU devices, their topology, etc.:</p>
-<pre><code class="language-julia-repl">julia&gt; using CUDA
-
-julia&gt; dev &#61; first&#40;NVML.devices&#40;&#41;&#41;
-CUDA.NVML.Device&#40;Ptr&#123;Nothing&#125; @0x00007f987c7c6e38&#41;
-
-julia&gt; NVML.uuid&#40;dev&#41;
-UUID&#40;&quot;b8d5e790-ea4d-f962-e0c3-0448f69f2e23&quot;&#41;
-
-julia&gt; NVML.name&#40;dev&#41;
-&quot;Quadro RTX 5000&quot;
-
-julia&gt; NVML.power_usage&#40;dev&#41;
-37.863
-
-julia&gt; NVML.energy_consumption&#40;dev&#41;
-65330.292</code></pre>
-<h2 id="experimental_texture_support"><a href="#experimental_texture_support" class="header-anchor">Experimental: Texture support</a></h2>
-<p>It is now also possible to use the GPU&#39;s hardware texture support from Julia, albeit using a fairly low-level and still experimental API &#40;many thanks to <a href="https://github.com/cdsousa">@cdsousa</a> for the initial development&#41;. As a demo, let&#39;s start with loading a sample image:</p>
-<pre><code class="language-julia">julia&gt; using Images, TestImages, ColorTypes, FixedPointNumbers
-julia&gt; img &#61; RGBA&#123;N0f8&#125;.&#40;testimage&#40;&quot;lighthouse&quot;&#41;&#41;</code></pre>
-<p>We use RGBA since CUDA&#39;s texture hardware only supports 1, 2 or 4 channels. This support is also currently limited to &quot;plain&quot; types, so let&#39;s reinterpret the image:</p>
-<pre><code class="language-julia">julia&gt; img′ &#61; reinterpret&#40;NTuple&#123;4,UInt8&#125;, img&#41;</code></pre>
-<p>Now we can upload this image to the array, using the <code>CuTextureArray</code> type for optimized storage &#40;normal <code>CuArray</code>s are supported too&#41;, and bind it to a <code>CuTexture</code> object that we can pass to a kernel:</p>
-<pre><code class="language-julia-repl">julia&gt; texturearray &#61; CuTextureArray&#40;img′&#41;
-
-julia&gt; texture &#61; CuTexture&#40;texturearray; normalized_coordinates&#61;true&#41;
-512×768 4-channel CuTexture&#40;::CuTextureArray&#41; with eltype NTuple&#123;4,UInt8&#125;</code></pre>
-<p>Let&#39;s write and a kernel that warps this image. Since we specified <code>normalized_coordinates&#61;true</code>, we index the texture using values in <code>&#91;0,1&#93;</code>:</p>
-<pre><code class="language-julia">function warp&#40;dst, texture&#41;
-    tid &#61; threadIdx&#40;&#41;.x &#43; &#40;blockIdx&#40;&#41;.x - 1&#41; * blockDim&#40;&#41;.x
-    I &#61; CartesianIndices&#40;dst&#41;
-    @inbounds if tid &lt;&#61; length&#40;I&#41;
-        i,j &#61; Tuple&#40;I&#91;tid&#93;&#41;
-        u &#61; Float32&#40;i-1&#41; / Float32&#40;size&#40;dst, 1&#41;-1&#41;
-        v &#61; Float32&#40;j-1&#41; / Float32&#40;size&#40;dst, 2&#41;-1&#41;
-        x &#61; u &#43; 0.02f0 * CUDA.sin&#40;30v&#41;
-        y &#61; v &#43; 0.03f0 * CUDA.sin&#40;20u&#41;
-        dst&#91;i,j&#93; &#61; texture&#91;x,y&#93;
-    end
-    return
-end</code></pre>
-<p>The size of the output image determines how many elements we need to process. This needs to be translated to a number of threads and blocks, keeping in mind device and kernel characteristics. We automate this using the occupancy API:</p>
-<pre><code class="language-julia-repl">julia&gt; outimg_d &#61; CuArray&#123;eltype&#40;img′&#41;&#125;&#40;undef, 500, 1000&#41;;
-
-julia&gt; function configurator&#40;kernel&#41;
-           config &#61; launch_configuration&#40;kernel.fun&#41;
-
-           threads &#61; Base.min&#40;length&#40;outimg_d&#41;, config.threads&#41;
-           blocks &#61; cld&#40;length&#40;outimg_d&#41;, threads&#41;
-
-           return &#40;threads&#61;threads, blocks&#61;blocks&#41;
-       end
-
-julia&gt; @cuda config&#61;configurator warp&#40;outimg_d, texture&#41;</code></pre>
-<p>Finally, we fetch and visualize the output:</p>
-<pre><code class="language-julia-repl">julia&gt; outimg &#61; Array&#40;outimg_d&#41;
-
-julia&gt; save&#40;&quot;imgwarp.png&quot;, reinterpret&#40;eltype&#40;img&#41;, outimg&#41;&#41;</code></pre>
-<figure>
-  <img src="/previews/PR41/post/2020-07-07-cuda_1.1/imgwarp.png" alt="Warped lighthouse">
-</figure>
-
-<h2 id="minor_features"><a href="#minor_features" class="header-anchor">Minor features</a></h2>
-<p>The test-suite is now parallelized, using up-to <code>JULIA_NUM_THREADS</code> processes:</p>
-<pre><code class="language-julia">&#36; JULIA_NUM_THREADS&#61;4 julia -e &#39;using Pkg; Pkg.test&#40;&quot;CUDA&quot;&#41;;&#39;
-
-                                     |          | ---------------- GPU ---------------- | ---------------- CPU ---------------- |
-Test                        &#40;Worker&#41; | Time &#40;s&#41; | GC &#40;s&#41; | GC &#37; | Alloc &#40;MB&#41; | RSS &#40;MB&#41; | GC &#40;s&#41; | GC &#37; | Alloc &#40;MB&#41; | RSS &#40;MB&#41; |
-initialization                   &#40;2&#41; |     2.52 |   0.00 |  0.0 |       0.00 |   115.00 |   0.05 |  1.8 |     153.13 |   546.27 |
-apiutils                         &#40;4&#41; |     0.55 |   0.00 |  0.0 |       0.00 |   115.00 |   0.02 |  4.0 |      75.86 |   522.36 |
-codegen                          &#40;4&#41; |    14.81 |   0.36 |  2.5 |       0.00 |   157.00 |   0.62 |  4.2 |    1592.28 |   675.15 |
-...
-gpuarrays/mapreduce essentials   &#40;2&#41; |   113.52 |   0.01 |  0.0 |       3.19 |   641.00 |   2.61 |  2.3 |    8232.84 |  2449.35 |
-gpuarrays/mapreduce &#40;old tests&#41;  &#40;5&#41; |   138.35 |   0.01 |  0.0 |     130.20 |   507.00 |   2.94 |  2.1 |    8615.15 |  2353.62 |
-gpuarrays/mapreduce derivatives  &#40;3&#41; |   180.52 |   0.01 |  0.0 |       3.06 |   229.00 |   3.44 |  1.9 |   12262.67 |  1403.39 |
-
-Test Summary: |  Pass  Broken  Total
-  Overall     | 11213       3  11216
-    SUCCESS
-    Testing CUDA tests passed</code></pre>
-<p>A copy of <code>Base.versioninfo&#40;&#41;</code> is available to report on the CUDA toolchain and any devices:</p>
-<pre><code class="language-julia-repl">julia&gt; CUDA.versioninfo&#40;&#41;
-CUDA toolkit 10.2.89, artifact installation
-CUDA driver 11.0.0
-NVIDIA driver 450.36.6
-
-Libraries:
-- CUBLAS: 10.2.2
-- CURAND: 10.1.2
-- CUFFT: 10.1.2
-- CUSOLVER: 10.3.0
-- CUSPARSE: 10.3.1
-- CUPTI: 12.0.0
-- NVML: 11.0.0&#43;450.36.6
-- CUDNN: 7.6.5 &#40;for CUDA 10.2.0&#41;
-- CUTENSOR: 1.1.0 &#40;for CUDA 10.2.0&#41;
-
-Toolchain:
-- Julia: 1.5.0-rc1.0
-- LLVM: 9.0.1
-- PTX ISA support: 3.2, 4.0, 4.1, 4.2, 4.3, 5.0, 6.0, 6.1, 6.3, 6.4
-- Device support: sm_35, sm_37, sm_50, sm_52, sm_53, sm_60, sm_61, sm_62, sm_70, sm_72, sm_75
-
-1 device&#40;s&#41;:
-- Quadro RTX 5000 &#40;sm_75, 14.479 GiB / 15.744 GiB available&#41;</code></pre>
-<p>CUTENSOR artifacts have been upgraded to version 1.1.0.</p>
-<p>Benchmarking infrastructure based on the Codespeed project has been set-up at <a href="https://speed.juliagpu.org/">speed.juliagpu.org</a> to keep track of the performance of various operations.</p>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2020-07-18-cuda_1.3/index.html b/previews/PR41/post/2020-07-18-cuda_1.3/index.html
deleted file mode 100644
index 041a8aa..0000000
--- a/previews/PR41/post/2020-07-18-cuda_1.3/index.html
+++ /dev/null
@@ -1,268 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>CUDA.jl 1.3 - Multi-device programming ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>CUDA.jl 1.3 - Multi-device programming</h1>
-      <i data-feather=calendar></i>
-<time datetime=2020-7-18>Jul 18, 2020</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>Today we&#39;re releasing CUDA.jl 1.3, with several new features. The most prominent change is support for multiple GPUs within a single process.</p>
-<h2 id="multi-gpu_programming"><a href="#multi-gpu_programming" class="header-anchor">Multi-GPU programming</a></h2>
-<p>With CUDA.jl 1.3, you can finally use multiple CUDA GPUs within a single process. To switch devices you can call <code>device&#33;</code>, query the current device with <code>device&#40;&#41;</code>, or reset it using <code>device_reset&#33;&#40;&#41;</code>:</p>
-<pre><code class="language-julia-repl">julia&gt; collect&#40;devices&#40;&#41;&#41;
-9-element Array&#123;CuDevice,1&#125;:
- CuDevice&#40;0&#41;: Tesla V100-PCIE-32GB
- CuDevice&#40;1&#41;: Tesla V100-PCIE-32GB
- CuDevice&#40;2&#41;: Tesla V100-PCIE-32GB
- CuDevice&#40;3&#41;: Tesla V100-PCIE-32GB
- CuDevice&#40;4&#41;: Tesla V100-PCIE-16GB
- CuDevice&#40;5&#41;: Tesla P100-PCIE-16GB
- CuDevice&#40;6&#41;: Tesla P100-PCIE-16GB
- CuDevice&#40;7&#41;: GeForce GTX 1080 Ti
- CuDevice&#40;8&#41;: GeForce GTX 1080 Ti
-
-julia&gt; device&#33;&#40;5&#41;
-
-julia&gt; device&#40;&#41;
-CuDevice&#40;5&#41;: Tesla P100-PCIE-16GB</code></pre>
-<p>Let&#39;s define a kernel to show this really works:</p>
-<pre><code class="language-julia-repl">julia&gt; function kernel&#40;&#41;
-           dev &#61; Ref&#123;Cint&#125;&#40;&#41;
-           CUDA.cudaGetDevice&#40;dev&#41;
-           @cuprintln&#40;&quot;Running on device &#36;&#40;dev&#91;&#93;&#41;&quot;&#41;
-           return
-       end
-
-julia&gt; @cuda kernel&#40;&#41;
-Running on device 5
-
-julia&gt; device&#33;&#40;0&#41;
-
-julia&gt; device&#40;&#41;
-CuDevice&#40;0&#41;: Tesla V100-PCIE-32GB
-
-julia&gt; @cuda kernel&#40;&#41;
-Running on device 0</code></pre>
-<p>Memory allocations, like <code>CuArray</code>s, are implicitly bound to the device they were allocated on. That means you should take care to only use an array when the owning device is active, or you will run into errors:</p>
-<pre><code class="language-julia-repl">julia&gt; device&#40;&#41;
-CuDevice&#40;0&#41;: Tesla V100-PCIE-32GB
-
-julia&gt; a &#61; CUDA.rand&#40;1&#41;
-1-element CuArray&#123;Float32,1&#125;:
- 0.6322775
-
-julia&gt; device&#33;&#40;1&#41;
-
-julia&gt; a
-ERROR: CUDA error: an illegal memory access was encountered</code></pre>
-<p>Future improvements might make the array type device-aware.</p>
-<h2 id="multitasking_and_multithreading"><a href="#multitasking_and_multithreading" class="header-anchor">Multitasking and multithreading</a></h2>
-<p>Dovetailing with the support for multiple GPUs, is the ability to use these GPUs on separate Julia tasks and threads:</p>
-<pre><code class="language-julia-repl">julia&gt; device&#33;&#40;0&#41;
-
-julia&gt; @sync begin
-         @async begin
-           device&#33;&#40;1&#41;
-           println&#40;&quot;Working with &#36;&#40;device&#40;&#41;&#41; on &#36;&#40;current_task&#40;&#41;&#41;&quot;&#41;
-           yield&#40;&#41;
-           println&#40;&quot;Back to device &#36;&#40;device&#40;&#41;&#41; on &#36;&#40;current_task&#40;&#41;&#41;&quot;&#41;
-         end
-         @async begin
-           device&#33;&#40;2&#41;
-           println&#40;&quot;Working with &#36;&#40;device&#40;&#41;&#41; on &#36;&#40;current_task&#40;&#41;&#41;&quot;&#41;
-         end
-       end
-Working with CuDevice&#40;1&#41; on Task @0x00007fc9e6a48010
-Working with CuDevice&#40;2&#41; on Task @0x00007fc9e6a484f0
-Back to device CuDevice&#40;1&#41; on Task @0x00007fc9e6a48010
-
-julia&gt; device&#40;&#41;
-CuDevice&#40;0&#41;: Tesla V100-PCIE-32GB</code></pre>
-<p>Each task has its own local GPU state, such as the device it was bound to, handles to libraries like CUBLAS or CUDNN &#40;which means that each task can configure libraries independently&#41;, etc.</p>
-<h2 id="minor_features"><a href="#minor_features" class="header-anchor">Minor features</a></h2>
-<p>CUDA.jl 1.3 also features some minor changes:</p>
-<ul>
-<li><p>Reinstated compatibility with Julia 1.3</p>
-</li>
-<li><p>Support for CUDA 11.0 Update 1</p>
-</li>
-<li><p>Support for CUDNN 8.0.2</p>
-</li>
-</ul>
-<h2 id="known_issues"><a href="#known_issues" class="header-anchor">Known issues</a></h2>
-<p>Several operations on sparse arrays have been broken since CUDA.jl 1.2, due to the deprecations that were part of CUDA 11. The next version of CUDA.jl will drop support for CUDA 10.0 or older, which will make it possible to use new cuSPARSE APIs and add back missing functionality.</p>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2020-09-28-gemmkernels/index.html b/previews/PR41/post/2020-09-28-gemmkernels/index.html
deleted file mode 100644
index 4fc865d..0000000
--- a/previews/PR41/post/2020-09-28-gemmkernels/index.html
+++ /dev/null
@@ -1,206 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>Paper: Flexible Performant GEMM Kernels on GPUs ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>Paper: Flexible Performant GEMM Kernels on GPUs</h1>
-      <i data-feather=calendar></i>
-<time datetime=2020-9-28>Sep 28, 2020</time><br>
-<i data-feather=edit-2></i>
-Thomas Faingnaert, Tim Besard, Bjorn De Sutter
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>General Matrix Multiplication or GEMM kernels take center place in high performance computing and machine learning. Recent NVIDIA GPUs include GEMM accelerators, such as NVIDIA&#39;s Tensor Cores. In this paper we show how it is possible to program these accelerators from Julia, and present abstractions and interfaces that allow to do so efficiently without sacrificing performance.</p>
-<p>A pre-print of the paper has been published on arXiv: <a href="https://arxiv.org/abs/2009.12263">arXiv:2009.12263</a>. <br/> The source code can be found on GitHub: <a href="https://github.com/thomasfaingnaert/GemmKernels.jl">thomasfaingnaert/GemmKernels.jl</a>.</p>
-<p>With the APIs from GemmKernels.jl, it is possible to instantiate GEMM kernels that perform in the same ball park as, and sometimes even outperform state-of-the-art libraries like CUBLAS and CUTLASS. For example, performing a mixed-precision multiplication of two 16-bit matrixes into a 32-bit accumulator &#40;on different combinations of layouts&#41;:</p>
-<figure>
-  <img src="/previews/PR41/post/2020-09-28-gemmkernels/mixed_precision.png" alt="Performance of mixed-precision GEMM">
-</figure>
-
-<p>The APIs are also highly flexible and allow customization of each step, e.g., to apply the activation function <code>max&#40;x, 0&#41;</code> for implementing a rectified linear unit &#40;ReLU&#41;:</p>
-<pre><code class="language-julia">a &#61; CuArray&#40;rand&#40;Float16, &#40;M, K&#41;&#41;&#41;
-b &#61; CuArray&#40;rand&#40;Float16, &#40;K, N&#41;&#41;&#41;
-c &#61; CuArray&#40;rand&#40;Float32, &#40;M, N&#41;&#41;&#41;
-d &#61; similar&#40;c&#41;
-
-conf &#61; GemmKernels.get_config&#40;
-    gemm_shape &#61; &#40;M &#61; M, N &#61; N, K &#61; K&#41;,
-    operator &#61; Operator.WMMAOp&#123;16, 16, 16&#125;,
-    global_a_layout &#61; Layout.AlignedColMajor&#123;Float16&#125;,
-    global_c_layout &#61; Layout.AlignedColMajor&#123;Float32&#125;&#41;
-
-GemmKernels.matmul&#40;
-    a, b, c, d, conf;
-    transform_regs_to_shared_d &#61; Transform.Elementwise&#40;x -&gt; max&#40;x, 0&#41;&#41;&#41;</code></pre>
-<p>The GemmKernels.jl framework is written entirely in Julia, demonstrating the high-performance GPU programming capabilities of this language, but at the same time keeping the research accessible and easy to modify or repurpose by other Julia developers.</p>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2020-09-28-gemmkernels/mixed_precision.png b/previews/PR41/post/2020-09-28-gemmkernels/mixed_precision.png
deleted file mode 100644
index ad7a981..0000000
Binary files a/previews/PR41/post/2020-09-28-gemmkernels/mixed_precision.png and /dev/null differ
diff --git a/previews/PR41/post/2020-10-02-cuda_2.0/index.html b/previews/PR41/post/2020-10-02-cuda_2.0/index.html
deleted file mode 100644
index 41e8190..0000000
--- a/previews/PR41/post/2020-10-02-cuda_2.0/index.html
+++ /dev/null
@@ -1,346 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>CUDA.jl 2.0 ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>CUDA.jl 2.0</h1>
-      <i data-feather=calendar></i>
-<time datetime=2020-10-2>Oct 2, 2020</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>Today we&#39;re releasing CUDA.jl 2.0, a breaking release with several new features. Highlights include initial support for Float16, a switch to CUDA&#39;s new stream model, a much-needed rework of the sparse array support and support for CUDA 11.1.</p>
-<p>The release now requires <strong>Julia 1.5</strong>, and assumes a GPU with <strong>compute capability 5.0</strong> or higher &#40;although most of the package will still work with an older GPU&#41;.</p>
-<h2 id="low-_and_mixed-precision_operations"><a href="#low-_and_mixed-precision_operations" class="header-anchor">Low- and mixed-precision operations</a></h2>
-<p>With NVIDIA&#39;s latest GPUs featuring more and more low-precision operations, CUDA.jl <a href="https://github.com/JuliaGPU/CUDA.jl/pull/417">now</a> starts to support these data types. For example, the CUBLAS wrappers can be used with &#40;B&#41;Float16 inputs &#40;running under <code>JULIA_DEBUG&#61;CUBLAS</code> to illustrate the called methods&#41; thanks to the <code>cublasGemmEx</code> API call:</p>
-<pre><code class="language-julia-repl">julia&gt; mul&#33;&#40;CUDA.zeros&#40;Float32,2,2&#41;,
-            cu&#40;rand&#40;Float16,2,2&#41;&#41;,
-            cu&#40;rand&#40;Float16,2,2&#41;&#41;&#41;
-
-I&#33; cuBLAS &#40;v11.0&#41; function cublasStatus_t cublasGemmEx&#40;...&#41; called:
-i&#33;  Atype: type&#61;cudaDataType_t; val&#61;CUDA_R_16F&#40;2&#41;
-i&#33;  Btype: type&#61;cudaDataType_t; val&#61;CUDA_R_16F&#40;2&#41;
-i&#33;  Ctype: type&#61;cudaDataType_t; val&#61;CUDA_R_32F&#40;0&#41;
-i&#33;  computeType: type&#61;cublasComputeType_t; val&#61;CUBLAS_COMPUTE_32F&#40;68&#41;
-
-2×2 CuArray&#123;Float32,2&#125;:
- 0.481284  0.561241
- 1.12923   1.04541</code></pre>
-<pre><code class="language-julia-repl">julia&gt; using BFloat16s
-
-julia&gt; mul&#33;&#40;CUDA.zeros&#40;BFloat16,2,2&#41;,
-            cu&#40;BFloat16.&#40;rand&#40;2,2&#41;&#41;&#41;,
-            cu&#40;BFloat16.&#40;rand&#40;2,2&#41;&#41;&#41;&#41;
-
-I&#33; cuBLAS &#40;v11.0&#41; function cublasStatus_t cublasGemmEx&#40;...&#41; called:
-i&#33;  Atype: type&#61;cudaDataType_t; val&#61;CUDA_R_16BF&#40;14&#41;
-i&#33;  Btype: type&#61;cudaDataType_t; val&#61;CUDA_R_16BF&#40;14&#41;
-i&#33;  Ctype: type&#61;cudaDataType_t; val&#61;CUDA_R_16BF&#40;14&#41;
-i&#33;  computeType: type&#61;cublasComputeType_t; val&#61;CUBLAS_COMPUTE_32F&#40;68&#41;
-
-2×2 CuArray&#123;BFloat16,2&#125;:
- 0.300781   0.71875
- 0.0163574  0.0241699</code></pre>
-<p>Alternatively, CUBLAS can be configured to automatically down-cast 32-bit inputs to Float16. This is <a href="https://github.com/JuliaGPU/CUDA.jl/pull/424">now</a> exposed through a task-local CUDA.jl math mode:</p>
-<pre><code class="language-julia-repl">julia&gt; CUDA.math_mode&#33;&#40;CUDA.FAST_MATH; precision&#61;:Float16&#41;
-
-julia&gt; mul&#33;&#40;CuArray&#40;zeros&#40;Float32,2,2&#41;&#41;,
-            CuArray&#40;rand&#40;Float32,2,2&#41;&#41;,
-            CuArray&#40;rand&#40;Float32,2,2&#41;&#41;&#41;
-
-I&#33; cuBLAS &#40;v11.0&#41; function cublasStatus_t cublasGemmEx&#40;...&#41; called:
-i&#33;  Atype: type&#61;cudaDataType_t; val&#61;CUDA_R_32F&#40;0&#41;
-i&#33;  Btype: type&#61;cudaDataType_t; val&#61;CUDA_R_32F&#40;0&#41;
-i&#33;  Ctype: type&#61;cudaDataType_t; val&#61;CUDA_R_32F&#40;0&#41;
-i&#33;  computeType: type&#61;cublasComputeType_t; val&#61;CUBLAS_COMPUTE_32F_FAST_16F&#40;74&#41;
-
-2×2 CuArray&#123;Float32,2&#125;:
- 0.175258  0.226159
- 0.511893  0.331351</code></pre>
-<p>As part of these changes, CUDA.jl now defaults to using tensor cores. This may affect accuracy; use math mode <code>PEDANTIC</code> if you want the old behavior.</p>
-<p>Work is <a href="https://github.com/JuliaGPU/CUDA.jl/issues/391">under way</a> to extend these capabilities to the rest of CUDA.jl, e.g., the CUDNN wrappers, or the native kernel programming capabilities.</p>
-<h2 id="new_default_stream_semantics"><a href="#new_default_stream_semantics" class="header-anchor">New default stream semantics</a></h2>
-<p>In CUDA.jl 2.0 we&#39;re <a href="https://github.com/JuliaGPU/CUDA.jl/pull/395">switching</a> to CUDA&#39;s <a href="https://developer.nvidia.com/blog/gpu-pro-tip-cuda-7-streams-simplify-concurrency/">simplified stream programming model</a>. This simplifies working with multiple streams, and opens up more possibilities for concurrent execution of GPU operations.</p>
-<h3 id="multi-stream_programming"><a href="#multi-stream_programming" class="header-anchor">Multi-stream programming</a></h3>
-<p>In the old model, the default stream &#40;used by all GPU operations unless specified otherwise&#41; was a special stream whose commands could not be executed concurrently with commands on regular, explicitly-created streams. For example, if we interleave kernels executed on a dedicated stream with ones on the default one, execution was serialized:</p>
-<pre><code class="language-julia">using CUDA
-
-N &#61; 1 &lt;&lt; 20
-
-function kernel&#40;x, n&#41;
-    tid &#61; threadIdx&#40;&#41;.x &#43; &#40;blockIdx&#40;&#41;.x-1&#41; * blockDim&#40;&#41;.x
-    for i &#61; tid:blockDim&#40;&#41;.x*gridDim&#40;&#41;.x:n
-        x&#91;i&#93; &#61; CUDA.sqrt&#40;CUDA.pow&#40;3.14159f0, i&#41;&#41;
-    end
-    return
-end
-
-num_streams &#61; 8
-
-for i in 1:num_streams
-    stream &#61; CuStream&#40;&#41;
-
-    data &#61; CuArray&#123;Float32&#125;&#40;undef, N&#41;
-
-    @cuda blocks&#61;1 threads&#61;64 stream&#61;stream kernel&#40;data, N&#41;
-
-    @cuda kernel&#40;data, 0&#41;
-end</code></pre>
-<figure>
-  <img src="/previews/PR41/post/2020-10-02-cuda_2.0/multistream_before.png" alt="Multi-stream programming (old)">
-</figure>
-
-<p>In the new model, default streams are regular streams and commands issued on them can execute concurrently with those on other streams:</p>
-<figure>
-  <img src="/previews/PR41/post/2020-10-02-cuda_2.0/multistream_after.png" alt="Multi-stream programming (new)">
-</figure>
-
-<h3 id="multi-threading"><a href="#multi-threading" class="header-anchor">Multi-threading</a></h3>
-<p>Another consequence of the new stream model is that each thread gets its own default stream &#40;accessible as <code>CuStreamPerThread&#40;&#41;</code>&#41;. Together with Julia&#39;s threading capabilities, this makes it trivial to group independent work in tasks, benefiting from concurrent execution on the GPU where possible:</p>
-<pre><code class="language-julia">using CUDA
-
-N &#61; 1 &lt;&lt; 20
-
-function kernel&#40;x, n&#41;
-    tid &#61; threadIdx&#40;&#41;.x &#43; &#40;blockIdx&#40;&#41;.x-1&#41; * blockDim&#40;&#41;.x
-    for i &#61; tid:blockDim&#40;&#41;.x*gridDim&#40;&#41;.x:n
-        x&#91;i&#93; &#61; CUDA.sqrt&#40;CUDA.pow&#40;3.14159f0, i&#41;&#41;
-    end
-    return
-end
-
-Threads.@threads for i in 1:Threads.nthreads&#40;&#41;
-    data &#61; CuArray&#123;Float32&#125;&#40;undef, N&#41;
-    @cuda blocks&#61;1 threads&#61;64 kernel&#40;data, N&#41;
-    synchronize&#40;CuDefaultStream&#40;&#41;&#41;
-end</code></pre>
-<figure>
-  <img src="/previews/PR41/post/2020-10-02-cuda_2.0/multithread_after.png" alt="Multi-threading (new)">
-</figure>
-
-<p>With the old model, execution would have been serialized because the default stream was the same across threads:</p>
-<figure>
-  <img src="/previews/PR41/post/2020-10-02-cuda_2.0/multithread_before.png" alt="Multi-threading (old)">
-</figure>
-
-<p>Future improvements will make this behavior configurable, such that users can use a different default stream per task.</p>
-<h2 id="sparse_array_clean-up"><a href="#sparse_array_clean-up" class="header-anchor">Sparse array clean-up</a></h2>
-<p>As part of CUDA.jl 2.0, the sparse array support <a href="https://github.com/JuliaGPU/CUDA.jl/pull/409">has been refactored</a>, bringing them in line with other array types and their expected behavior. For example, the custom <code>switch2</code> methods have been removed in favor of calls to <code>convert</code> and array constructors:</p>
-<pre><code class="language-julia-repl">julia&gt; using SparseArrays
-julia&gt; using CUDA, CUDA.CUSPARSE
-
-julia&gt; CuSparseMatrixCSC&#40;CUDA.rand&#40;2,2&#41;&#41;
-2×2 CuSparseMatrixCSC&#123;Float32&#125; with 4 stored entries:
-  &#91;1, 1&#93;  &#61;  0.124012
-  &#91;2, 1&#93;  &#61;  0.791714
-  &#91;1, 2&#93;  &#61;  0.487905
-  &#91;2, 2&#93;  &#61;  0.752466
-
-julia&gt; CuSparseMatrixCOO&#40;sprand&#40;2,2, 0.5&#41;&#41;
-2×2 CuSparseMatrixCOO&#123;Float64&#125; with 3 stored entries:
-  &#91;1, 1&#93;  &#61;  0.183183
-  &#91;2, 1&#93;  &#61;  0.966466
-  &#91;2, 2&#93;  &#61;  0.064101
-
-julia&gt; CuSparseMatrixCSR&#40;ans&#41;
-2×2 CuSparseMatrixCSR&#123;Float64&#125; with 3 stored entries:
-  &#91;1, 1&#93;  &#61;  0.183183
-  &#91;2, 1&#93;  &#61;  0.966466
-  &#91;2, 2&#93;  &#61;  0.064101</code></pre>
-<p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/421">Initial support for the COO sparse matrix type </a> has also been added, along with more <a href="https://github.com/JuliaGPU/CUDA.jl/pull/351">better support for sparse matrix-vector multiplication</a>.</p>
-<h2 id="support_for_cuda_111"><a href="#support_for_cuda_111" class="header-anchor">Support for CUDA 11.1</a></h2>
-<p>This release also features support for the brand-new CUDA 11.1. As there is no compatible release of CUDNN or CUTENSOR yet, CUDA.jl won&#39;t automatically select this version, but you can force it to by setting the <code>JULIA_CUDA_VERSION</code> environment variable to <code>11.1</code>:</p>
-<pre><code class="language-julia-repl">julia&gt; ENV&#91;&quot;JULIA_CUDA_VERSION&quot;&#93; &#61; &quot;11.1&quot;
-
-julia&gt; using CUDA
-
-julia&gt; CUDA.versioninfo&#40;&#41;
-CUDA toolkit 11.1.0, artifact installation
-
-Libraries:
-- CUDNN: missing
-- CUTENSOR: missing</code></pre>
-<h2 id="minor_changes"><a href="#minor_changes" class="header-anchor">Minor changes</a></h2>
-<p>Many other changes are part of this release:</p>
-<ul>
-<li><p>Views, reshapes and array reinterpretations <a href="https://github.com/JuliaGPU/CUDA.jl/pull/437">are now represented</a> by the Base array wrappers, simplifying the CuArray type definition.</p>
-</li>
-<li><p>Various optimizations to <a href="https://github.com/JuliaGPU/CUDA.jl/pull/428">CUFFT</a> and <a href="https://github.com/JuliaGPU/CUDA.jl/pull/321">CUDNN</a> library wrappers.</p>
-</li>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/427">Support</a> for <code>LinearAlgebra.reflect&#33;</code> and <code>rotate&#33;</code></p>
-</li>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/435">Initial support</a> for calling CUDA libraries with strided inputs</p>
-</li>
-</ul>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2020-10-02-cuda_2.0/multistream_after.png b/previews/PR41/post/2020-10-02-cuda_2.0/multistream_after.png
deleted file mode 100644
index 691f7c8..0000000
Binary files a/previews/PR41/post/2020-10-02-cuda_2.0/multistream_after.png and /dev/null differ
diff --git a/previews/PR41/post/2020-10-02-cuda_2.0/multistream_before.png b/previews/PR41/post/2020-10-02-cuda_2.0/multistream_before.png
deleted file mode 100644
index 0b1079c..0000000
Binary files a/previews/PR41/post/2020-10-02-cuda_2.0/multistream_before.png and /dev/null differ
diff --git a/previews/PR41/post/2020-10-02-cuda_2.0/multithread_after.png b/previews/PR41/post/2020-10-02-cuda_2.0/multithread_after.png
deleted file mode 100644
index 27a699c..0000000
Binary files a/previews/PR41/post/2020-10-02-cuda_2.0/multithread_after.png and /dev/null differ
diff --git a/previews/PR41/post/2020-10-02-cuda_2.0/multithread_before.png b/previews/PR41/post/2020-10-02-cuda_2.0/multithread_before.png
deleted file mode 100644
index 4816d06..0000000
Binary files a/previews/PR41/post/2020-10-02-cuda_2.0/multithread_before.png and /dev/null differ
diff --git a/previews/PR41/post/2020-10-30-cuda_2.1/index.html b/previews/PR41/post/2020-10-30-cuda_2.1/index.html
deleted file mode 100644
index 659e34f..0000000
--- a/previews/PR41/post/2020-10-30-cuda_2.1/index.html
+++ /dev/null
@@ -1,216 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>CUDA.jl 2.1 ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>CUDA.jl 2.1</h1>
-      <i data-feather=calendar></i>
-<time datetime=2020-10-30>Oct 30, 2020</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>CUDA.jl v2.1 is a bug-fix release, with one new feature: support for cubic texture interpolations. The release also partly reverts a change from v2.0: <code>reshape</code>, <code>reinterpret</code> and contiguous <code>view</code>s now return a <code>CuArray</code> again.</p>
-<h2 id="generalized_texture_interpolations"><a href="#generalized_texture_interpolations" class="header-anchor">Generalized texture interpolations</a></h2>
-<p>CUDA&#39;s texture hardware only supports nearest-neighbour and linear interpolation, for other modes one is required to perform the interpolation by hand. In CUDA.jl v2.1 we are generalizing the texture interpolation API so that it is possible to use both hardware-backed and software-implemented interpolation modes in exactly the same way:</p>
-<pre><code class="language-julia"># N is the dimensionality &#40;1, 2 or 3&#41;
-# T is the element type &#40;needs to be supported by the texture hardware&#41;
-
-# source array
-src &#61; rand&#40;T, fill&#40;10, N&#41;...&#41;
-
-# indices we want to interpolate
-idx &#61; &#91;tuple&#40;rand&#40;1:0.1:10, N&#41;...&#41; for _ in 1:10&#93;
-
-# upload to the GPU
-gpu_src &#61; CuArray&#40;src&#41;
-gpu_idx &#61; CuArray&#40;idx&#41;
-
-# create a texture array for optimized fetching
-# this is required for N&#61;1, optional for N&#61;2 and N&#61;3
-gpu_src &#61; CuTextureArray&#40;gpu_src&#41;
-
-# interpolate using a texture
-gpu_dst &#61; CuArray&#123;T&#125;&#40;undef, size&#40;gpu_idx&#41;&#41;
-gpu_tex &#61; CuTexture&#40;gpu_src; interpolation&#61;CUDA.NearestNeighbour&#40;&#41;&#41;
-broadcast&#33;&#40;gpu_dst, gpu_idx, Ref&#40;gpu_tex&#41;&#41; do idx, tex
-    tex&#91;idx...&#93;
-end
-
-# back to the CPU
-dst &#61; Array&#40;gpu_dst&#41;</code></pre>
-<p>Here, we can change the <code>interpolation</code> argument to <code>CuTexture</code> to either <code>NearestNeighbour</code> or <code>LinearInterpolation</code>, both supported by the hardware, or <code>CubicInterpolation</code> which is implemented in software &#40;building on the hardware-supported linear interpolation&#41;.</p>
-<h2 id="partial_revert_of_array_wrapper_changes"><a href="#partial_revert_of_array_wrapper_changes" class="header-anchor">Partial revert of array wrapper changes</a></h2>
-<p>In CUDA.jl v2.0, we changed the behavior of several important array operations to reuse available wrappers in Base: <code>reshape</code> started returning a <code>ReshapedArray</code>, <code>view</code> now returned a <code>SubArray</code>, and <code>reinterpret</code> was reworked to use <code>ReinterpretArray</code>. These changes were made to ensure maximal compatibility with Base&#39;s array type, and to simplify the implementation in CUDA.jl and GPUArrays.jl.</p>
-<p>However, this change turned out to regress the time to precompile and load CUDA.jl. Consequently, the change has been reverted, and these wrappers are now implemented as part of the <code>CuArray</code> type again. Note however that we intend to revisit this change in the future. It is therefore recommended to use the <code>DenseCuArray</code> type alias for methods that need a <code>CuArray</code> backed by contiguous GPU memory. For strided <code>CuArray</code>s, i.e. non-contiguous views, you should use the <code>StridedCuArray</code> alias.</p>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2020-11-05-oneapi_0.1/index.html b/previews/PR41/post/2020-11-05-oneapi_0.1/index.html
deleted file mode 100644
index ecb0631..0000000
--- a/previews/PR41/post/2020-11-05-oneapi_0.1/index.html
+++ /dev/null
@@ -1,291 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>Introducing: oneAPI.jl ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>Introducing: oneAPI.jl</h1>
-      <i data-feather=calendar></i>
-<time datetime=2020-11-5>Nov 5, 2020</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>We&#39;re proud to announce the first version of oneAPI.jl, a Julia package for programming accelerators with the <a href="https://www.oneapi.com/">oneAPI programming model</a>. It is currently available for select Intel GPUs, including common integrated ones, and offers a similar experience to CUDA.jl.</p>
-<p>The initial version of this package, v0.1, consists of three key components:</p>
-<ul>
-<li><p>wrappers for the oneAPI Level Zero interfaces;</p>
-</li>
-<li><p>a compiler for Julia source code to SPIR-V IR;</p>
-</li>
-<li><p>and an array interface for convenient data-parallel programming.</p>
-</li>
-</ul>
-<p>In this post, I&#39;ll briefly describe each of these. But first, some essentials.</p>
-<h2 id="installation"><a href="#installation" class="header-anchor">Installation</a></h2>
-<p>oneAPI.jl is currently only supported on 64-bit Linux, using a sufficiently recent kernel, and requires Julia 1.5. Furthermore, it currently only supports a limited set of Intel GPUs: Gen9 &#40;Skylake, Kaby Lake, Coffee Lake&#41;, Gen11 &#40;Ice Lake&#41;, and Gen12 &#40;Tiger Lake&#41;.</p>
-<p>If your Intel CPU has an integrated GPU supported by oneAPI, you can just go ahead and install the oneAPI.jl package:</p>
-<pre><code class="language-julia">pkg&gt; add oneAPI</code></pre>
-<p>That&#39;s right, no additional drivers required&#33; oneAPI.jl ships its own copy of the <a href="https://github.com/intel/compute-runtime">Intel Compute Runtime</a>, which works out of the box on any &#40;sufficiently recent&#41; Linux kernel. The initial download, powered by Julia&#39;s artifact subsystem, might take a while to complete. After that, you can import the package and start using its functionality:</p>
-<pre><code class="language-julia-repl">julia&gt; using oneAPI
-
-julia&gt; oneAPI.versioninfo&#40;&#41;
-Binary dependencies:
-- NEO_jll: 20.42.18209&#43;0
-- libigc_jll: 1.0.5186&#43;0
-- gmmlib_jll: 20.3.2&#43;0
-- SPIRV_LLVM_Translator_jll: 9.0.0&#43;1
-- SPIRV_Tools_jll: 2020.2.0&#43;1
-
-Toolchain:
-- Julia: 1.5.2
-- LLVM: 9.0.1
-
-1 driver:
-- 00007fee-06cb-0a10-1642-ca9f01000000 &#40;v1.0.0, API v1.0.0&#41;
-
-1 device:
-- Intel&#40;R&#41; Graphics Gen9</code></pre>
-<h2 id="the_onearray_type"><a href="#the_onearray_type" class="header-anchor">The <code>oneArray</code> type</a></h2>
-<p>Similar to CUDA.jl&#39;s <code>CuArray</code> type, oneAPI.jl provides an array abstraction that you can use to easily perform data parallel operations on your GPU:</p>
-<pre><code class="language-julia-repl">julia&gt; a &#61; oneArray&#40;zeros&#40;2,3&#41;&#41;
-2×3 oneArray&#123;Float64,2&#125;:
- 0.0  0.0  0.0
- 0.0  0.0  0.0
-
-julia&gt; a .&#43; 1
-2×3 oneArray&#123;Float64,2&#125;:
- 1.0  1.0  1.0
- 1.0  1.0  1.0
-
-julia&gt; sum&#40;ans; dims&#61;2&#41;
-2×1 oneArray&#123;Float64,2&#125;:
- 3.0
- 3.0</code></pre>
-<p>This functionality builds on the <a href="https://github.com/JuliaGPU/GPUArrays.jl/">GPUArrays.jl</a> package, which means that a lot of operations are supported out of the box. Some are still missing, of course, and we haven&#39;t carefully optimized for performance either.</p>
-<h2 id="kernel_programming"><a href="#kernel_programming" class="header-anchor">Kernel programming</a></h2>
-<p>The above array operations are made possible by a compiler that transforms Julia source code into SPIR-V IR for use with oneAPI. Most of this work is part of <a href="https://github.com/JuliaGPU/GPUCompiler.jl">GPUCompiler.jl</a>. In oneAPI.jl, we use this compiler to provide a kernel programming model:</p>
-<pre><code class="language-julia-repl">julia&gt; function vadd&#40;a, b, c&#41;
-           i &#61; get_global_id&#40;&#41;
-           @inbounds c&#91;i&#93; &#61; a&#91;i&#93; &#43; b&#91;i&#93;
-           return
-       end
-
-julia&gt; a &#61; oneArray&#40;rand&#40;10&#41;&#41;;
-
-julia&gt; b &#61; oneArray&#40;rand&#40;10&#41;&#41;;
-
-julia&gt; c &#61; similar&#40;a&#41;;
-
-julia&gt; @oneapi items&#61;10 vadd&#40;a, b, c&#41;
-
-julia&gt; @test Array&#40;a&#41; .&#43; Array&#40;b&#41; &#61;&#61; Array&#40;c&#41;
-Test Passed</code></pre>
-<p>Again, the <code>@oneapi</code> macro resembles <code>@cuda</code> from CUDA.jl. One of the differences with the CUDA stack is that we use OpenCL-style built-ins, like <code>get_global_id</code> instead of <code>threadIdx</code> and <code>barrier</code> instead of <code>sync_threads</code>. Other familiar functionality, e.g. to reflect on the compiler, is available as well:</p>
-<pre><code class="language-julia-repl">julia&gt; @device_code_spirv @oneapi vadd&#40;a, b, c&#41;
-; CompilerJob of kernel vadd&#40;oneDeviceArray&#123;Float64,1,1&#125;,
-;                            oneDeviceArray&#123;Float64,1,1&#125;,
-;                            oneDeviceArray&#123;Float64,1,1&#125;&#41;
-; for GPUCompiler.SPIRVCompilerTarget
-
-; SPIR-V
-; Version: 1.0
-; Generator: Khronos LLVM/SPIR-V Translator; 14
-; Bound: 46
-; Schema: 0
-               OpCapability Addresses
-               OpCapability Linkage
-               OpCapability Kernel
-               OpCapability Float64
-               OpCapability Int64
-               OpCapability Int8
-          &#37;1 &#61; OpExtInstImport &quot;OpenCL.std&quot;
-               OpMemoryModel Physical64 OpenCL
-               OpEntryPoint Kernel
-               ...
-               OpReturn
-               OpFunctionEnd</code></pre>
-<h2 id="level_zero_wrappers"><a href="#level_zero_wrappers" class="header-anchor">Level Zero wrappers</a></h2>
-<p>To interface with the oneAPI driver, we use the <a href="https://github.com/oneapi-src/level-zero">Level Zero API</a>. Wrappers for this API is available under the <code>oneL0</code> submodule of oneAPI.jl:</p>
-<pre><code class="language-julia-repl">julia&gt; using oneAPI.oneL0
-
-julia&gt; drv &#61; first&#40;drivers&#40;&#41;&#41;
-ZeDriver&#40;00000000-0000-0000-1642-ca9f01000000, version 1.0.0&#41;
-
-julia&gt; dev &#61; first&#40;devices&#40;drv&#41;&#41;
-ZeDevice&#40;GPU, vendor 0x8086, device 0x1912&#41;: Intel&#40;R&#41; Graphics Gen9</code></pre>
-<p>This is a low-level interface, and importing this submodule should not be required for the vast majority of users. It is only useful when you want to perform very specific operations, like submitting an certain operations to the command queue, working with events, etc. In that case, you should refer to the <a href="https://spec.oneapi.com/level-zero/latest/index.html">upstream specification</a>; The wrappers in the <code>oneL0</code> module closely mimic the C APIs.</p>
-<h2 id="status"><a href="#status" class="header-anchor">Status</a></h2>
-<p>Version 0.1 of oneAPI.jl forms a solid base for future oneAPI developments in Julia. Thanks to the continued effort of generalizing the Julia GPU support in packages like GPUArrays.jl and GPUCompiler.jl, this initial version is already much more usable than early versions of CUDA.jl or AMDGPU.jl ever were.</p>
-<p>That said, there are crucial parts missing. For one, oneAPI.jl does not integrate with any of the vendor libraries like oneMKL or oneDNN. That means several important operations, e.g. matrix-matrix multiplication, will be slow. Hardware support is also limited, and the package currently only works on Linux.</p>
-<p>If you want to contribute to oneAPI.jl, or run into problems, check out the GitHub repository at <a href="https://github.com/JuliaGPU/oneAPI.jl">JuliaGPU/oneAPI.jl</a>. For questions, please use the <a href="https://discourse.julialang.org/c/domain/gpu">Julia Discourse forum</a> under the GPU domain and/or in the #gpu channel of the <a href="https://julialang.org/community/">Julia Slack</a>.</p>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2021-01-08-cuda_2.4_2.5/index.html b/previews/PR41/post/2021-01-08-cuda_2.4_2.5/index.html
deleted file mode 100644
index f48f018..0000000
--- a/previews/PR41/post/2021-01-08-cuda_2.4_2.5/index.html
+++ /dev/null
@@ -1,210 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>CUDA.jl 2.4 and 2.5 ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>CUDA.jl 2.4 and 2.5</h1>
-      <i data-feather=calendar></i>
-<time datetime=2021-1-8>Jan 8, 2021</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>CUDA.jl v2.4 and v2.5 are two almost-identical feature releases, respectively for Julia 1.5 and 1.6. These releases feature a greatly improved <code>findmin</code> and <code>findmax</code> kernels, an improved interface for kernel introspection, support for CUDA 11.2, and of course many bug fixes.</p>
-<h2 id="improved_findmin_and_findmax_kernels"><a href="#improved_findmin_and_findmax_kernels" class="header-anchor">Improved <code>findmin</code> and <code>findmax</code> kernels</a></h2>
-<p>Thanks to <a href="https://github.com/tkf">@tkf</a> and <a href="https://github.com/Ellipse0934">@Ellipse0934</a>, CUDA.jl now <a href="https://github.com/JuliaGPU/CUDA.jl/pull/576">uses a single-pass kernel for finding the minimum or maximum item in a CuArray</a>. This fixes compatibility with <code>NaN</code>-valued elements, while on average improving performance. Depending on the rank, shape and size of the array these improvements vary from a minor regression to order-of-magnitude improvements.</p>
-<h2 id="new_kernel_introspection_interface"><a href="#new_kernel_introspection_interface" class="header-anchor">New kernel introspection interface</a></h2>
-<p>It is now possible to obtain a compiled-but-not-launched kernel by passing the <code>launch&#61;false</code> keyword to <code>@cuda</code>. This is useful when you want to reflect, e.g., query the amount of registers, or other kernel properties:</p>
-<pre><code class="language-julia">julia&gt; kernel &#61; @cuda launch&#61;false identity&#40;nothing&#41;
-CUDA.HostKernel&#123;identity,Tuple&#123;Nothing&#125;&#125;&#40;...&#41;
-
-julia&gt; CUDA.registers&#40;kernel&#41;
-4</code></pre>
-<p>The old API is still available, and will even be extended in future versions of CUDA.jl for the purpose of compiling device functions &#40;not kernels&#41;:</p>
-<pre><code class="language-julia">julia&gt; kernel &#61; cufunction&#40;identity, Tuple&#123;Nothing&#125;&#41;
-CUDA.HostKernel&#123;identity,Tuple&#123;Nothing&#125;&#125;&#40;...&#41;</code></pre>
-<h2 id="support_for_cuda_112"><a href="#support_for_cuda_112" class="header-anchor">Support for CUDA 11.2</a></h2>
-<p>CUDA.jl now supports the latest version of CUDA, version 11.2. Because CUDNN and CUTENSOR are not compatible with this release yet, CUDA.jl won&#39;t automatically switch to it unless you explicitly request so:</p>
-<pre><code class="language-julia">julia&gt; ENV&#91;&quot;JULIA_CUDA_VERSION&quot;&#93; &#61; &quot;11.2&quot;
-&quot;11.2&quot;
-
-julia&gt; using CUDA
-
-julia&gt; CUDA.versioninfo&#40;&#41;
-CUDA toolkit 11.2.0, artifact installation
-CUDA driver 11.2.0
-NVIDIA driver 460.27.4</code></pre>
-<p>Alternatively, if you disable use of artifacts through <code>JULIA_CUDA_USE_BINARYBUILDER&#61;false</code>, CUDA 11.2 can be picked up from your local system.</p>
-<h2 id="future_developments"><a href="#future_developments" class="header-anchor">Future developments</a></h2>
-<p>Due to upstream compiler changes, CUDA.jl 2.4 is expected to be the last release compatible with Julia 1.5. Patch releases are still possible, but are not automatic: If you need a specific bugfix from a future CUDA.jl release, create an issue or PR to backport the change.</p>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2021-04-09-cuda_3.0/index.html b/previews/PR41/post/2021-04-09-cuda_3.0/index.html
deleted file mode 100644
index 785b7f7..0000000
--- a/previews/PR41/post/2021-04-09-cuda_3.0/index.html
+++ /dev/null
@@ -1,261 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>CUDA.jl 3.0 ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>CUDA.jl 3.0</h1>
-      <i data-feather=calendar></i>
-<time datetime=2021-4-9>Apr 9, 2021</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>CUDA.jl 3.0 is a significant, semi-breaking release that features greatly improved multi-tasking and multi-threading, support for CUDA 11.2 and its new memory allocator, compiler tooling for GPU method overrides, device-side random number generation and a completely revamped cuDNN interface.</p>
-<h2 id="improved_multi-tasking_and_multi-threading"><a href="#improved_multi-tasking_and_multi-threading" class="header-anchor">Improved multi-tasking and multi-threading</a></h2>
-<p>Before this release, CUDA operations were enqueued on a single global stream, and many of these operations &#40;like copying memory, or synchronizing execution&#41; were fully blocking. This posed difficulties when using multiple tasks to perform independent operations: Blocking operations prevent all tasks from making progress, and using the same stream introduces unintended dependencies on otherwise independend operations. <strong>CUDA.jl now uses <a href="https://github.com/JuliaGPU/CUDA.jl/pull/662">private streams for each Julia task</a>, and avoids blocking operations where possible, enabling task-based concurrent execution.</strong> It is also possible to use different devices on each task, and there is experimental support for executing those tasks from different threads.</p>
-<p>A <s>picture</s> snippet of code is worth a thousand words, so let&#39;s demonstrate using a computation that uses both a library function &#40;GEMM from CUBLAS&#41; and a native Julia broadcast kernel:</p>
-<pre><code class="language-julia">using CUDA, LinearAlgebra
-
-function compute&#40;a,b,c&#41;
-    mul&#33;&#40;c, a, b&#41;
-    broadcast&#33;&#40;sin, c, c&#41;
-    synchronize&#40;&#41;
-    c
-end</code></pre>
-<p>To execute multiple invocations of this function concurrently, we can simply use Julia&#39;s task-based programming interfaces and wrap each call to <code>compute</code> in an <code>@async</code> block. Then, we synchronize execution again by wrapping in a <code>@sync</code> block:</p>
-<pre><code class="language-julia">function iteration&#40;a,b,c&#41;
-    results &#61; Vector&#123;Any&#125;&#40;undef, 2&#41;
-    NVTX.@range &quot;computation&quot; @sync begin
-        @async begin
-            results&#91;1&#93; &#61; compute&#40;a,b,c&#41;
-        end
-        @async begin
-            results&#91;2&#93; &#61; compute&#40;a,b,c&#41;
-        end
-    end
-    NVTX.@range &quot;comparison&quot; Array&#40;results&#91;1&#93;&#41; &#61;&#61; Array&#40;results&#91;2&#93;&#41;
-end</code></pre>
-<p>The calls to the <code>@range</code> macro from NVTX, a submodule of CUDA.jl, will visualize the different phases of execution when we profile our program. We now invoke our function using some random data:</p>
-<pre><code class="language-julia">function main&#40;N&#61;1024&#41;
-    a &#61; CUDA.rand&#40;N,N&#41;
-    b &#61; CUDA.rand&#40;N,N&#41;
-    c &#61; CUDA.rand&#40;N,N&#41;
-
-    # make sure this data can be used by other tasks&#33;
-    synchronize&#40;&#41;
-
-    # warm-up
-    iteration&#40;a,b,c&#41;
-    GC.gc&#40;true&#41;
-
-    NVTX.@range &quot;main&quot; iteration&#40;a,b,c&#41;
-end</code></pre>
-<p>The snippet above illustrates one breaking aspect of this release: Because each task uses its own stream, <strong>you now need to synchronize when re-using data in another task.</strong> Although it is unlikely that any user code was relying on the old behavior, it is technically a breaking change, and as such we are bumping the major version of the CUDA.jl package.</p>
-<p>If we profile these our program using NSight Systems, we can see how the execution of both calls to <code>compute</code> was overlapped:</p>
-<figure>
-  <img src="/previews/PR41/post/2021-04-09-cuda_3.0/task_based_concurrency.png" alt="Overlapping execution on the GPU using task-based concurrency">
-</figure>
-
-<p>The region highlighted in green was spent enqueueing operations from the CPU, which includes the call to <code>synchronize&#40;&#41;</code>. This used to be a blocking operation, whereas now it only synchronizes the task-local stream while yielding to the Julia scheduler so that it can continue execution on another task. <strong>For synchronizing the entire device, use the new <code>device_synchronize&#40;&#41;</code> function.</strong></p>
-<p>The remainder of computation was then spent executing kernels. Here, execution was overlapped, but that obviously depends on the exact characteristics of the computations and your GPU. Also note that copying to and from the CPU is always going to block for some time, unless the memory was page-locked. CUDA.jl <a href="https://github.com/JuliaGPU/CUDA.jl/pull/760">now supports</a> locking memory like that using the <code>pin</code> function; for more details refer to <a href="https://juliagpu.github.io/CUDA.jl/dev/usage/multitasking/">the CUDA.jl documentation on tasks and threads</a>.</p>
-<h2 id="cuda_112_and_stream-ordered_allocations"><a href="#cuda_112_and_stream-ordered_allocations" class="header-anchor">CUDA 11.2 and stream-ordered allocations</a></h2>
-<p>CUDA.jl now also fully supports CUDA 11.2, and it will default to using that version of the toolkit if your driver supports it. The release came with several new features, such as <a href="https://developer.nvidia.com/blog/enhancing-memory-allocation-with-new-cuda-11-2-features/">the new stream-ordered memory allocator</a>. Without going into details, it is now possible to asynchonously allocate memory, obviating much of the need to cache those allocations in a memory pool. Initial benchmarks have shown nice speed-ups from using this allocator, while lowering memory pressure and thus reducing invocations of the Julia garbage collector.</p>
-<p>When using CUDA 11.2, CUDA.jl will <a href="https://github.com/JuliaGPU/CUDA.jl/pull/679">default to the CUDA-backed memory pool</a> and disable its own caching layer. If you want to compare performance, you can still use the old allocator and caching memory pool by setting the <code>JULIA_CUDA_MEMORY_POOL</code> environment variable to, e.g. <code>binned</code>. On older versions of CUDA, the <code>binned</code> pool is still used by default.</p>
-<h2 id="gpu_method_overrides"><a href="#gpu_method_overrides" class="header-anchor">GPU method overrides</a></h2>
-<p>With the new <code>AbstractInterpreter</code> functionality in Julia 1.6, it is now much easier to further customize the Base compiler. This has enabled us to develop <a href="https://github.com/JuliaGPU/GPUCompiler.jl/pull/151">a mechanism for overriding methods with GPU-specific counterparts</a>. It used to be required to explicitly pick CUDA-specific versions, e.g. <code>CUDA.sin</code>, because the Base version performed some GPU-incompatible operation. This was problematic as it did not compose with generic code, and the CUDA-specific versions often lacked support for specific combinations of argument types &#40;for example, <code>CUDA.sin&#40;::Complex&#41;</code> was not supported&#41;.</p>
-<p>With CUDA 3.0, it is possible to <strong>define GPU-specific methods that override an existing definition, without requiring a new function type</strong>. For now, this functionality is private to CUDA.jl, but we expect to make it available to other packages starting with Julia 1.7.</p>
-<p>This functionality has unblocked <em>many</em> issues, as can be seen in the <a href="https://github.com/JuliaGPU/CUDA.jl/pull/750">corresponding pull request</a>. It is now no longer needed to prefix a call with the CUDA module to ensure a GPU-compatible version is used. Furthermore, it also protects users from accidentally calling GPU intrinsics, as doing so will now result in an error instead of a crash:</p>
-<pre><code class="language-text">julia&gt; CUDA.saturate&#40;1f0&#41;
-ERROR: This function is not intended for use on the CPU
-Stacktrace:
- &#91;1&#93; error&#40;s::String&#41;
-   @ Base ./error.jl:33
- &#91;2&#93; saturate&#40;x::Float32&#41;
-   @ CUDA ~/Julia/pkg/CUDA/src/device/intrinsics.jl:23
- &#91;3&#93; top-level scope
-   @ REPL&#91;10&#93;:1</code></pre>
-<h2 id="device-side_random_number_generation"><a href="#device-side_random_number_generation" class="header-anchor">Device-side random number generation</a></h2>
-<p>As an illustration of the value of GPU method overrides, CUDA.jl now provides a device-side random number generator that is accessible by simply calling <code>rand&#40;&#41;</code> from a kernel:</p>
-<pre><code class="language-julia">julia&gt; function kernel&#40;&#41;
-         @cushow rand&#40;&#41;
-         return
-       end
-kernel &#40;generic function with 1 method&#41;
-
-julia&gt; @cuda kernel&#40;&#41;
-rand&#40;&#41; &#61; 0.668274</code></pre>
-<p>This works by overriding the <code>Random.default_rng&#40;&#41;</code> method, and providing a GPU-compatible random number generator: Building on <a href="https://github.com/JuliaGPU/CUDA.jl/pull/772">exploratory work</a> by <a href="https://github.com/S-D-R">@S-D-R</a>, the <a href="https://github.com/JuliaGPU/CUDA.jl/pull/788">current generator</a> is a maximally equidistributed combined Tausworthe RNG that shares 32-bytes of random state across threads in a warp for performance. The generator performs well, but <a href="https://github.com/JuliaGPU/CUDA.jl/issues/803">does not pass</a> the Crush battery of tests, so PRs are welcome here to improve the implementation&#33;</p>
-<p>Note that for host-side operations, e.g. <code>rand&#33;&#40;::CuArray&#41;</code>, the generator is not yet used by default. Instead, we use CURAND whenever possible, and fall back to the slower but more full-featured GPUArrays.jl-generator in other cases.</p>
-<h2 id="revamped_cudnn_interface"><a href="#revamped_cudnn_interface" class="header-anchor">Revamped cuDNN interface</a></h2>
-<p>Finally, the cuDNN wrappers have been <a href="https://github.com/JuliaGPU/CUDA.jl/pull/523">completely revamped</a> by <a href="https://github.com/denizyuret">@denizyuret</a>. The goal of the redesign is to more faithfully map the cuDNN API to more natural Julia functions, so that packages like Knet.jl or NNlib.jl can more easily use advanced cuDNN features without having to resort to low-level C calls. For more details, refer to <a href="https://github.com/JuliaGPU/CUDA.jl/blob/da7c6eee82d6ea0eee1cb75c8589c8a92b0bc474/lib/cudnn/README.md">the design document</a>. As part of this redesign, the high-level wrappers of CUDNN <a href="https://github.com/FluxML/NNlib.jl/pull/286">have been moved to</a> a subpackage of NNlib.jl.</p>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2021-04-09-cuda_3.0/task_based_concurrency.png b/previews/PR41/post/2021-04-09-cuda_3.0/task_based_concurrency.png
deleted file mode 100644
index 25e672c..0000000
Binary files a/previews/PR41/post/2021-04-09-cuda_3.0/task_based_concurrency.png and /dev/null differ
diff --git a/previews/PR41/post/2021-06-10-cuda_3.3/index.html b/previews/PR41/post/2021-06-10-cuda_3.3/index.html
deleted file mode 100644
index f8b37b0..0000000
--- a/previews/PR41/post/2021-06-10-cuda_3.3/index.html
+++ /dev/null
@@ -1,303 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>CUDA.jl 3.3 ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>CUDA.jl 3.3</h1>
-      <i data-feather=calendar></i>
-<time datetime=2021-6-10>Jun 10, 2021</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>There have been several releases of CUDA.jl in the past couple of months, with many bugfixes and many exciting new features to improve GPU programming in Julia: <code>CuArray</code> now supports isbits Unions, CUDA.jl can emit debug info for use with NVIDIA tools, and changes to the compiler make it even easier to use the latest version of the CUDA toolkit.</p>
-<h2 id="cuarray_support_for_isbits_unions"><a href="#cuarray_support_for_isbits_unions" class="header-anchor"><code>CuArray</code> support for isbits Unions</a></h2>
-<p>Unions are a way to represent values of one type or another, e.g., a value that can be an integer or a floating point. If all possible element types of a Union are so-called bitstypes, which can be stored contiguously in memory, the Union of these types can be stored contiguously too. This kind of optimization is implemented by the Array type, which can store such &quot;isbits Unions&quot; inline, as opposed to storing a pointer to a heap-allocated box. For more details, refer to the <a href="https://docs.julialang.org/en/v1/devdocs/isbitsunionarrays/">Julia documentation</a>.</p>
-<p>With CUDA.jl 3.3, the CuArray GPU array type now <a href="https://github.com/JuliaGPU/CUDA.jl/pull/941">supports this optimization too</a>. That means you can safely allocate CuArrays with isbits union element types and perform GPU-accelerated operations on then:</p>
-<pre><code class="language-julia-repl">julia&gt; a &#61; CuArray&#40;&#91;1, nothing, 3&#93;&#41;
-3-element CuArray&#123;Union&#123;Nothing, Int64&#125;, 1&#125;:
- 1
-  nothing
- 3
-
-julia&gt; findfirst&#40;isnothing, a&#41;
-2</code></pre>
-<p>It is also safe to pass these CuArrays to a kernel and use unions there:</p>
-<pre><code class="language-julia-repl">julia&gt; function kernel&#40;a&#41;
-         i &#61; threadIdx&#40;&#41;.x
-         if a&#91;i&#93; &#33;&#61;&#61; nothing
-           a&#91;i&#93; &#43;&#61; 1
-         end
-         return
-       end
-
-julia&gt; @cuda threads&#61;3 kernel&#40;a&#41;
-
-julia&gt; a
-3-element CuArray&#123;Union&#123;Nothing, Int64&#125;, 1&#125;:
- 2
-  nothing
- 4</code></pre>
-<p>This feature is especially valuable to represent missing values, and is an important step towards GPU support for DataFrames.jl.</p>
-<h2 id="debug_and_location_information"><a href="#debug_and_location_information" class="header-anchor">Debug and location information</a></h2>
-<p>Another noteworthy addition is the <a href="https://github.com/JuliaGPU/CUDA.jl/pull/891">support for emitting debug and location information</a>. The debug level, set by passing <code>-g &lt;level&gt;</code> to the <code>julia</code> executable, determines how much info is emitted. The default of level 1 only enables location information instructions which should not impact performance. Passing <code>-g0</code> disables this, while passing <code>-g2</code> also enables the output of DWARF debug information and compiles in debug mode.</p>
-<p>Location information is useful for a variety of reasons. Many tools, like the NVIDIA profilers, use it corelate instructions to source code:</p>
-<figure>
-  <img src="/previews/PR41/post/2021-06-10-cuda_3.3/nvvp.png" alt="NVIDIA Visual Profiler with source-code location information">
-</figure>
-
-<p>Debug information can be used to debug compiled code using <code>cuda-gdb</code>:</p>
-<pre><code class="language-julia">&#36; cuda-gdb --args julia -g2 examples/vadd.jl
-&#40;cuda-gdb&#41; set cuda break_on_launch all
-&#40;cuda-gdb&#41; run
-&#91;Switching focus to CUDA kernel 0, grid 1, block &#40;0,0,0&#41;, thread &#40;0,0,0&#41;, device 0, sm 0, warp 0, lane 0&#93;
-macro expansion &#40;&#41; at .julia/packages/LLVM/hHQuD/src/interop/base.jl:74
-74                  Base.llvmcall&#40;&#40;&#36;ir,&#36;fn&#41;, &#36;rettyp, &#36;argtyp, &#36;&#40;args.args...&#41;&#41;
-
-&#40;cuda-gdb&#41; bt
-#0  macro expansion &#40;&#41; at .julia/packages/LLVM/hHQuD/src/interop/base.jl:74
-#1  macro expansion &#40;&#41; at .julia/dev/CUDA/src/device/intrinsics/indexing.jl:6
-#2  _index &#40;&#41; at .julia/dev/CUDA/src/device/intrinsics/indexing.jl:6
-#3  blockIdx_x &#40;&#41; at .julia/dev/CUDA/src/device/intrinsics/indexing.jl:56
-#4  blockIdx &#40;&#41; at .julia/dev/CUDA/src/device/intrinsics/indexing.jl:76
-#5  julia_vadd&lt;&lt;&lt;&#40;1,1,1&#41;,&#40;12,1,1&#41;&gt;&gt;&gt; &#40;a&#61;..., b&#61;..., c&#61;...&#41; at .julia/dev/CUDA/examples/vadd.jl:6
-
-&#40;cuda-gdb&#41; f 5
-#5  julia_vadd&lt;&lt;&lt;&#40;1,1,1&#41;,&#40;12,1,1&#41;&gt;&gt;&gt; &#40;a&#61;..., b&#61;..., c&#61;...&#41; at .julia/dev/CUDA/examples/vadd.jl:6
-6           i &#61; &#40;blockIdx&#40;&#41;.x-1&#41; * blockDim&#40;&#41;.x &#43; threadIdx&#40;&#41;.x
-
-&#40;cuda-gdb&#41; l
-1       using Test
-2
-3       using CUDA
-4
-5       function vadd&#40;a, b, c&#41;
-6           i &#61; &#40;blockIdx&#40;&#41;.x-1&#41; * blockDim&#40;&#41;.x &#43; threadIdx&#40;&#41;.x
-7           c&#91;i&#93; &#61; a&#91;i&#93; &#43; b&#91;i&#93;
-8           return
-9       end
-10</code></pre>
-<h2 id="improved_cuda_compatibility_support"><a href="#improved_cuda_compatibility_support" class="header-anchor">Improved CUDA compatibility support</a></h2>
-<p>As always, new CUDA.jl releases come with updated support for the CUDA toolkit. CUDA.jl is now compatible with <a href="https://github.com/JuliaGPU/CUDA.jl/pull/858">CUDA 11.3</a>, as well as <a href="https://github.com/JuliaGPU/CUDA.jl/pull/945">CUDA 11.3 Update 1</a>. Users don&#39;t have to do anything to update to these versions, as CUDA.jl will automatically select and download the latest supported version.</p>
-<p>Of course, for CUDA.jl to use the latest versions of the CUDA toolkit, a sufficiently recent version of the NVIDIA driver is required. Before CUDA 11.0, the driver&#39;s CUDA compatibility was a strict lower bound, and every minor CUDA release required a driver update. CUDA 11.0 comes with an enhanced compatibility option that follows semantic versioning, e.g., CUDA 11.3 can be used on an NVIDIA driver that only supports up to CUDA 11.0. CUDA.jl now <a href="https://github.com/JuliaGPU/CUDA.jl/pull/936">follows semantic versioning</a> when selecting a compatible toolkit, making it easier to use the latest version of the CUDA toolkit in Julia.</p>
-<p>For those interested: Implementing semantic versioning required the CUDA.jl compiler to <a href="https://github.com/JuliaGPU/CUDA.jl/pull/892">use <code>ptxas</code> instead of the driver&#39;s embedded JIT</a> to generate GPU machine code. At the same time, many parts of CUDA.jl still use the CUDA driver APIs, so it&#39;s always recommended to keep your NVIDIA driver up-to-date.</p>
-<h2 id="high-level_graph_apis"><a href="#high-level_graph_apis" class="header-anchor">High-level graph APIs</a></h2>
-<p>To overcome the cost of launching kernels, CUDA makes it possible to build computational graphs, and execute those graphs with less overhead than the underlying operations. In CUDA.jl we provide easy access to the APIs <a href="https://github.com/JuliaGPU/CUDA.jl/pull/877">to record and execute</a> these graphs:</p>
-<pre><code class="language-julia">A &#61; CUDA.zeros&#40;Int, 1&#41;
-
-# ensure the operation is compiled
-A .&#43;&#61; 1
-
-# capture
-graph &#61; capture&#40;&#41; do
-    A .&#43;&#61; 1
-end
-@test Array&#40;A&#41; &#61;&#61; &#91;1&#93;   # didn&#39;t change anything
-
-# instantiate and launch
-exec &#61; instantiate&#40;graph&#41;
-CUDA.launch&#40;exec&#41;
-@test Array&#40;A&#41; &#61;&#61; &#91;2&#93;
-
-# update and instantiate/launch again
-graph′ &#61; capture&#40;&#41; do
-    A .&#43;&#61; 2
-end
-update&#40;exec, graph′&#41;
-CUDA.launch&#40;exec&#41;
-@test Array&#40;A&#41; &#61;&#61; &#91;4&#93;</code></pre>
-<p>This sequence of operations is common enough that we provide a high-level <code>@captured</code> macro wraps that automatically records, updates, instantiates and launches the graph:</p>
-<pre><code class="language-julia">A &#61; CUDA.zeros&#40;Int, 1&#41;
-
-for i in 1:2
-    @captured A .&#43;&#61; 1
-end
-@test Array&#40;A&#41; &#61;&#61; &#91;2&#93;</code></pre>
-<h2 id="minor_changes_and_features"><a href="#minor_changes_and_features" class="header-anchor">Minor changes and features</a></h2>
-<ul>
-<li><p>CUDA.jl <a href="https://github.com/JuliaGPU/CUDA.jl/pull/842">now supports</a> <code>@atomic</code> multiplication and division &#40;by @yuehhua&#41;</p>
-</li>
-<li><p>Several statistics functions <a href="https://github.com/JuliaGPU/CUDA.jl/pull/509">have been implemented</a> &#40;by @berquist&#41;</p>
-</li>
-<li><p>The device-side random number generator in <a href="https://github.com/JuliaGPU/CUDA.jl/pull/890">is now based on Philox2x</a>, greatly improving quality of randomness &#40;passing BigCrush&#41; while allowing calls to <code>rand&#40;&#41;</code> from divergent threads.</p>
-</li>
-<li><p>Dependent libraries like CUDNN and CUTENSOR <a href="https://github.com/JuliaGPU/CUDA.jl/pull/882">are now only downloaded and initialized</a> when they are used.</p>
-</li>
-<li><p>The <code>synchronize&#40;&#41;</code> function in <a href="https://github.com/JuliaGPU/CUDA.jl/pull/896">now first spins</a> before yielding and sleeping, to improve the latency of short-running operations.</p>
-</li>
-<li><p>Several additional operations are now supported on Float16 inputs, such as <a href="https://github.com/JuliaGPU/CUDA.jl/pull/904">CUSPARSE and CUBLAS</a> operations, and <a href="https://github.com/JuliaGPU/CUDA.jl/pull/871">various math intrinsics</a>.</p>
-</li>
-<li><p>Kepler support &#40;compute capability 3.5&#41; <a href="https://github.com/JuliaGPU/CUDA.jl/pull/923">has been reinstated</a> for the time being.</p>
-</li>
-</ul>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2021-06-10-cuda_3.3/nvvp.png b/previews/PR41/post/2021-06-10-cuda_3.3/nvvp.png
deleted file mode 100644
index 8e2b2a1..0000000
Binary files a/previews/PR41/post/2021-06-10-cuda_3.3/nvvp.png and /dev/null differ
diff --git a/previews/PR41/post/2021-08-13-cuda_3.4/index.html b/previews/PR41/post/2021-08-13-cuda_3.4/index.html
deleted file mode 100644
index 903c145..0000000
--- a/previews/PR41/post/2021-08-13-cuda_3.4/index.html
+++ /dev/null
@@ -1,310 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>CUDA.jl 3.4 ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>CUDA.jl 3.4</h1>
-      <i data-feather=calendar></i>
-<time datetime=2021-8-13>Aug 13, 2021</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>The latest version of CUDA.jl brings several new features, from improved atomic operations to initial support for arrays with unified memory. The native random number generator introduced in CUDA.jl 3.0 is now the default fallback, and support for memory pools other than the CUDA stream-ordered one has been removed.</p>
-<h2 id="streamlined_atomic_operations"><a href="#streamlined_atomic_operations" class="header-anchor">Streamlined atomic operations</a></h2>
-<p>In preparation of integrating with the new standard <code>@atomic</code> macro introduced in Julia 1.7, we have <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1059">streamlined the capabilities of atomic operations in CUDA.jl</a>. The API is now split into two levels: low-level <code>atomic_</code> methods for atomic functionality that&#39;s directly supported by the hardware, and a high-level <code>@atomic</code> macro that tries to perform operations natively or falls back to a loop with compare-and-swap. This fall-back implementation makes it possible to use more complex operations that do not map onto a single atomic operation:</p>
-<pre><code class="language-julia-repl">julia&gt; a &#61; CuArray&#40;&#91;1&#93;&#41;;
-
-julia&gt; function kernel&#40;a&#41;
-         CUDA.@atomic a&#91;&#93; &lt;&lt;&#61; 1
-         return
-       end
-
-julia&gt; @cuda threads&#61;16 kernel&#40;a&#41;
-
-julia&gt; a
-1-element CuArray&#123;Int64, 1, CUDA.Mem.DeviceBuffer&#125;:
- 65536
-
-julia&gt; 1&lt;&lt;16
-65536</code></pre>
-<p>The only requirement is that the types being used are supported by <code>CUDA.atomic_cas&#33;</code>. This includes common types like 32 and 64-bit integers and floating-point numbers, as well as 16-bit numbers on devices with compute capability 7.0 or higher.</p>
-<p>Note that on Julia 1.7 and higher, CUDA.jl <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1097">does not export the <code>@atomic</code> macro anymore</a> to avoid conflicts with the version in Base. That means it is recommended to always fully specify uses of the macro, i.e., use <code>CUDA.@atomic</code> as in the example above.</p>
-<h2 id="arrays_with_unified_memory"><a href="#arrays_with_unified_memory" class="header-anchor">Arrays with unified memory</a></h2>
-<p>You may have noticed that the <code>CuArray</code> type in the example above included an additional parameter, <code>Mem.DeviceBuffer</code>. This has been introduced to support arrays backed by different kinds of buffers. By default, we will use an ordinary device buffer, but it&#39;s now possible to <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1023">allocate arrays backed by unified buffers</a> that can be used on multiple devices:</p>
-<pre><code class="language-julia-repl">julia&gt; a &#61; cu&#40;&#91;0&#93;; unified&#61;true&#41;
-1-element CuArray&#123;Int64, 1, CUDA.Mem.UnifiedBuffer&#125;:
- 0
-
-julia&gt; a .&#43;&#61; 1
-1-element CuArray&#123;Int64, 1, CUDA.Mem.UnifiedBuffer&#125;:
- 1
-
-julia&gt; device&#33;&#40;1&#41;
-
-julia&gt; a .&#43;&#61; 1
-1-element CuArray&#123;Int64, 1, CUDA.Mem.UnifiedBuffer&#125;:
- 2</code></pre>
-<p>Although all operations should work equally well with arrays backed by unified memory, they have not been optimized yet. For example, copying memory to the device could be avoided as the driver can automatically page in unified memory on-demand.</p>
-<h2 id="new_default_random_number_generator"><a href="#new_default_random_number_generator" class="header-anchor">New default random number generator</a></h2>
-<p>CUDA.jl 3.0 introduced a new random number generator, and starting with CUDA.jl 3.2 performance and quality of this generator was improved up to the point it could be used by applications. A couple of features were still missing though, such as generating normally-distributed random numbers, or support for complex numbers. These features have been <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1082">added in CUDA.jl 3.3</a>, and the generator is now used as the default fallback when CURAND does not support the requested element types.</p>
-<p>Both the performance and quality of this generator is much better than the previous, GPUArrays.jl-based one:</p>
-<pre><code class="language-julia-repl">julia&gt; using BenchmarkTools
-julia&gt; cuda_rng &#61; CUDA.RNG&#40;&#41;;
-julia&gt; gpuarrays_rng &#61; GPUArrays.default_rng&#40;CuArray&#41;;
-julia&gt; a &#61; CUDA.zeros&#40;1024,1024&#41;;
-
-julia&gt; @benchmark CUDA.@sync rand&#33;&#40;&#36;cuda_rng, &#36;a&#41;
-BenchmarkTools.Trial: 10000 samples with 1 evaluation.
- Range &#40;min … max&#41;:  17.040 μs …  2.430 ms  ┊ GC &#40;min … max&#41;: 0.00&#37; … 99.04&#37;
- Time  &#40;median&#41;:     18.500 μs              ┊ GC &#40;median&#41;:    0.00&#37;
- Time  &#40;mean ± σ&#41;:   20.604 μs ± 34.734 μs  ┊ GC &#40;mean ± σ&#41;:  1.17&#37; ±  0.99&#37;
-
-         ▃▆█▇▇▅▄▂▁
-  ▂▂▂▃▄▆███████████▇▆▆▅▅▄▄▄▃▃▃▃▃▃▃▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▁▂▂ ▄
-  17 μs           Histogram: frequency by time        24.1 μs &lt;
-
-julia&gt; @benchmark CUDA.@sync rand&#33;&#40;&#36;gpuarrays_rng, &#36;a&#41;
-BenchmarkTools.Trial: 10000 samples with 1 evaluation.
- Range &#40;min … max&#41;:  72.489 μs …  2.790 ms  ┊ GC &#40;min … max&#41;: 0.00&#37; … 98.44&#37;
- Time  &#40;median&#41;:     74.479 μs              ┊ GC &#40;median&#41;:    0.00&#37;
- Time  &#40;mean ± σ&#41;:   81.211 μs ± 61.598 μs  ┊ GC &#40;mean ± σ&#41;:  0.67&#37; ±  1.40&#37;
-
-  █                                                           ▁
-  █▆▃▁▃▃▅▆▅▁▁▁▁▁▃▁▁▁▁▁▁▁▁▁▁▁▄▆▁▁▁▁▁▁▁▁▄▄▃▄▃▁▁▁▁▁▁▁▁▁▃▃▄▆▄▁▄▃▆ █
-  72.5 μs      Histogram: log&#40;frequency&#41; by time       443 μs &lt;</code></pre>
-<pre><code class="language-julia-repl">julia&gt; using RNGTest
-julia&gt; test_cuda_rng &#61; RNGTest.wrap&#40;cuda_rng, UInt32&#41;;
-julia&gt; test_gpuarrays_rng &#61; RNGTest.wrap&#40;gpuarrays_rng, UInt32&#41;;
-
-julia&gt; RNGTest.smallcrushTestU01&#40;test_cuda_rng&#41;
- All tests were passed
-
-julia&gt; RNGTest.smallcrushTestU01&#40;test_gpuarrays_rng&#41;
- The following tests gave p-values outside &#91;0.001, 0.9990&#93;:
-
-       Test                          p-value
- ----------------------------------------------
-  1  BirthdaySpacings                 eps
-  2  Collision                        eps
-  3  Gap                              eps
-  4  SimpPoker                       1.0e-4
-  5  CouponCollector                  eps
-  6  MaxOft                           eps
-  7  WeightDistrib                    eps
- 10  RandomWalk1 M                   6.0e-4
- ----------------------------------------------
- &#40;eps  means a value &lt; 1.0e-300&#41;:</code></pre>
-<h2 id="removal_of_old_memory_pools"><a href="#removal_of_old_memory_pools" class="header-anchor">Removal of old memory pools</a></h2>
-<p>With the new stream-ordered allocator, caching memory allocations at the CUDA library level, much of the need for memory pools to cache memory allocations has disappeared. To simplify the allocation code, we have <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1015">removed support for those Julia-managed memory pools</a> &#40;i.e., <code>binned</code>, <code>split</code> and <code>simple</code>&#41;. You can now only use the <code>cuda</code> memory pool, or use no pool at all by setting the <code>JULIA_CUDA_MEMORY_POOL</code> environment variable to <code>none</code>.</p>
-<p>Not using a memory pool degrades performance, so if you are stuck on an NVIDIA driver that does not support CUDA 11.2, it is advised to remain on CUDA.jl 3.3 until you can upgrade.</p>
-<p>Also note that the new stream-ordered allocator has <a href="https://github.com/JuliaGPU/CUDA.jl/issues/1053">turned out incompatible with legacy cuIpc APIs</a> as used by OpenMPI. If that applies to you, consider disabling the memory pool or reverting to CUDA.jl 3.3 if your application&#39;s allocation pattern benefits from a memory pool.</p>
-<p>Because of this, we will be maintaining CUDA.jl 3.3 longer than usual. All bug fixes in CUDA.jl 3.4 have already been backported to the previous release, which is currently at version 3.3.6.</p>
-<h2 id="device_capability-dependent_kernel_code"><a href="#device_capability-dependent_kernel_code" class="header-anchor">Device capability-dependent kernel code</a></h2>
-<p>Some of the improvements in this release depend on the ability to write generic code that only uses certain hardware features when they are available. To facilitate writing such code, the compiler now embeds metadata in the generated code that can be used to branch on.</p>
-<p>Currently, the device capability and PTX ISA version are embedded and made available using respectively the <code>compute_capability</code> and <code>ptx_isa_version</code> functions. A simplified version number type, constructable using the <code>sv&quot;...&quot;</code> string macro, can be used to test against these properties. For example:</p>
-<pre><code class="language-julia-repl">julia&gt; function kernel&#40;a&#41;
-           a&#91;&#93; &#61; compute_capability&#40;&#41; &gt;&#61; sv&quot;6.0&quot; ? 1 : 2
-           return
-       end
-kernel &#40;generic function with 1 method&#41;
-
-julia&gt; CUDA.code_llvm&#40;kernel, Tuple&#123;CuDeviceVector&#123;Float32, AS.Global&#125;&#125;&#41;
-define void @julia_kernel_1&#40;&#123; i8 addrspace&#40;1&#41;*, i64, &#91;1 x i64&#93; &#125;* &#37;0&#41; &#123;
-top:
-  &#37;1 &#61; bitcast &#123; i8 addrspace&#40;1&#41;*, i64, &#91;1 x i64&#93; &#125;* &#37;0 to float addrspace&#40;1&#41;**
-  &#37;2 &#61; load float addrspace&#40;1&#41;*, float addrspace&#40;1&#41;** &#37;1, align 8
-  store float 1.000000e&#43;00, float addrspace&#40;1&#41;* &#37;2, align 4
-  ret void
-&#125;
-
-julia&gt; capability&#40;device&#33;&#40;1&#41;&#41;
-v&quot;3.5.0&quot;
-
-julia&gt; CUDA.code_llvm&#40;kernel, Tuple&#123;CuDeviceVector&#123;Float32, AS.Global&#125;&#125;&#41;
-define void @julia_kernel_2&#40;&#123; i8 addrspace&#40;1&#41;*, i64, &#91;1 x i64&#93; &#125;* &#37;0&#41; &#123;
-top:
-  &#37;1 &#61; bitcast &#123; i8 addrspace&#40;1&#41;*, i64, &#91;1 x i64&#93; &#125;* &#37;0 to float addrspace&#40;1&#41;**
-  &#37;2 &#61; load float addrspace&#40;1&#41;*, float addrspace&#40;1&#41;** &#37;1, align 8
-  store float 2.000000e&#43;00, float addrspace&#40;1&#41;* &#37;2, align 4
-  ret void
-&#125;</code></pre>
-<p>The branch on the compute capability is completely optimized away. At the same time, this does not require re-inferring the function as the optimization happens at the LLVM level.</p>
-<h2 id="other_changes"><a href="#other_changes" class="header-anchor">Other changes</a></h2>
-<ul>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/1084">Support for CUDA 11.4 Update 1</a></p>
-</li>
-<li><p>Improved thread safety <a href="https://github.com/JuliaGPU/CUDA.jl/pull/993">&#91;1&#93;</a> <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1074">&#91;2&#93;</a></p>
-</li>
-</ul>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2022-01-28-cuda_3.5_3.8/index.html b/previews/PR41/post/2022-01-28-cuda_3.5_3.8/index.html
deleted file mode 100644
index 9cd01b3..0000000
--- a/previews/PR41/post/2022-01-28-cuda_3.5_3.8/index.html
+++ /dev/null
@@ -1,339 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>CUDA.jl 3.5-3.8 ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>CUDA.jl 3.5-3.8</h1>
-      <i data-feather=calendar></i>
-<time datetime=2022-1-28>Jan 28, 2022</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>CUDA.jl versions 3.5 to 3.8 have brought several new features to improve performance and productivity. This blog post will highlight a couple: direct copies between devices, better performance by preserving array index types and changing the memory pool, and a much-improved interface to the compute sanitizer utility.</p>
-<h2 id="copies_between_devices"><a href="#copies_between_devices" class="header-anchor">Copies between devices</a></h2>
-<p>Typically, when sending data between devices you need to stage through the CPU. CUDA.jl <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1284">now does this automatically</a>, making it possible to directly copy between <code>CuArray</code>s on different devices:</p>
-<pre><code class="language-julia-repl">julia&gt; device&#33;&#40;0&#41;;
-
-julia&gt; a &#61; CUDA.rand&#40;2,2&#41;
-2×2 CuArray&#123;Float32, 2, CUDA.Mem.DeviceBuffer&#125;:
- 0.440147  0.986939
- 0.622901  0.698119
-
-julia&gt; device&#33;&#40;1&#41;;
-
-julia&gt; b &#61; CUDA.zeros&#40;2,2&#41;;
-
-julia&gt; copyto&#33;&#40;b, a&#41;
-2×2 CuArray&#123;Float32, 2, CUDA.Mem.DeviceBuffer&#125;:
- 0.440147  0.986939
- 0.622901  0.698119</code></pre>
-<p>When your hardware supports it, CUDA.jl will automatically enable so-called peer-to-peer mode, making it possible to copy data directly without going through the CPU. This can result in significant bandwidth and latency reductions. You can check if this mode of communication is possible:</p>
-<pre><code class="language-julia-repl">julia&gt; src &#61; CuDevice&#40;0&#41;
-CuDevice&#40;0&#41;: NVIDIA A100-PCIE-40GB
-
-julia&gt; dst &#61; CuDevice&#40;1&#41;
-CuDevice&#40;1&#41;: Tesla V100-PCIE-32GB
-
-julia&gt; can_access_peer&#40;src, dst&#41;
-false</code></pre>
-<p>In this case, peer-to-peer communication is not possible because the devices have a different compute capability major revision number. With a compatible device, the function reports <code>true</code>:</p>
-<pre><code class="language-julia">julia&gt; src &#61; CuDevice&#40;1&#41;
-CuDevice&#40;1&#41;: Tesla V100-PCIE-32GB
-
-julia&gt; dst &#61; CuDevice&#40;2&#41;
-CuDevice&#40;2&#41;: Tesla V100-PCIE-16GB
-
-julia&gt; can_access_peer&#40;src, dst&#41;
-true</code></pre>
-<p>Thanks to <a href="https://github.com/kshyatt">@kshyatt</a> for help with this change&#33;</p>
-<h2 id="helper_function_to_use_compute-sanitizer"><a href="#helper_function_to_use_compute-sanitizer" class="header-anchor">Helper function to use <code>compute-sanitizer</code></a></h2>
-<p>The CUDA toolkit comes with a powerful tool to check GPU kernels for common issues like memory errors and race conditions: the <a href="https://docs.nvidia.com/compute-sanitizer/ComputeSanitizer/index.html">compute sanitizer</a>. To make it easier to use this tool, CUDA.jl now ships the binary as part of its artifacts, and <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1340">provides a helper function</a> to restart Julia under the <code>compute-sanitizer</code>. Let&#39;s demonstrate, and trigger a memory error to show what the compute sanitizer can detect:</p>
-<pre><code class="language-julia-repl">julia&gt; using CUDA
-
-julia&gt; CUDA.run_compute_sanitizer&#40;&#41;
-Re-starting your active Julia session...
-
-&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61; COMPUTE-SANITIZER
-julia&gt; using CUDA
-
-julia&gt; unsafe_wrap&#40;CuArray, pointer&#40;CuArray&#40;&#91;1&#93;&#41;&#41;, 2&#41; .&#61; 1
-&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61; Invalid __global__ write of size 8 bytes
-&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;     at 0x2a0 in LLVM/src/interop/base.jl:45:julia_broadcast_kernel_1892&#40;CuKernelContext, CuDeviceArray&lt;Int64, &#40;int&#41;1, &#40;int&#41;1&gt;, Broadcasted&lt;void, Tuple&lt;OneTo&lt;Int64&gt;&gt;, _identity, Broadcasted&lt;Int64&gt;&gt;, Int64&#41;
-&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;     by thread &#40;1,0,0&#41; in block &#40;0,0,0&#41;
-&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;     Address 0xa64000008 is out of bounds
-&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;     and is 1 bytes after the nearest allocation at 0xa64000000 of size 8 bytes</code></pre>
-<p>Other tools are available too, e.g. <code>racecheck</code> for detecting races or <code>synccheck</code> for finding synchronization issues. These tools can be selected using the <code>tool</code> keyword argument to <code>run_compute_sanitizer</code>.</p>
-<h2 id="updated_binary_dependencies"><a href="#updated_binary_dependencies" class="header-anchor">Updated binary dependencies</a></h2>
-<p>As is common with every release, CUDA.jl now supports newer versions of NVIDIA&#39;s tools and libraries:</p>
-<ul>
-<li><p>CUDA toolkit <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1256">11.5</a> and <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1326">11.6</a></p>
-</li>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/1328">CUDNN 8.3.2</a></p>
-</li>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/1327">CUTENSOR 1.4.0</a></p>
-</li>
-</ul>
-<p>The update to CUDA toolkit 11.6 comes with improved debug info compatibility. If you need to debug Julia GPU code with tools like <code>compute-sanitizer</code> or <code>cuda-gdb</code>, and you need debug info &#40;the equivalent of <code>nvcc -G</code>&#41;, ensure CUDA.jl can use the latest version of the CUDA toolkit.</p>
-<p>To make it easier to use the latest supported toolkit, CUDA.jl <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1182">now implements</a> CUDA&#39;s so-called <strong>Forward Compatibility mode</strong>: When your driver is outdated, CUDA.jl will attempt to load a newer version of the CUDA driver library, enabling use of a newer CUDA toolkit and libraries. Note that this is only supported on select hardware, refer to <a href="https://docs.nvidia.com/deploy/cuda-compatibility/#forward-compatibility-title">the NVIDIA documentation</a> for more details.</p>
-<h2 id="preserving_array_indices"><a href="#preserving_array_indices" class="header-anchor">Preserving array indices</a></h2>
-<p>Julia&#39;s integers are typically 64-bits wide, which can be wasteful when dealing with GPU indexing intrinsics that are typically only 32-bits wide. CUDA.jl&#39;s device array type <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1153">now carefully preserves the type of indices</a> so that 32-bits indices aren&#39;t unnecessarily promoted to 64-bits. With some careful kernel programming &#40;note the use of <code>0x1</code> instead of <code>1</code> below&#41;, this makes it possible to significantly reduce the register pressure surrounding indexing operations, which may be useful in register-constrained situations:</p>
-<pre><code class="language-julia-repl">julia&gt; function memset&#40;arr, val&#41;
-           i &#61; &#40;blockIdx&#40;&#41;.x-0x1&#41; * blockDim&#40;&#41;.x &#43; threadIdx&#40;&#41;.x
-           @inbounds arr&#91;i&#93; &#61; val
-           return
-       end
-
-julia&gt; CUDA.code_ptx&#40;memset, Tuple&#123;CuDeviceArray&#123;Float32,1,AS.Global&#125;,Float32&#125;&#41;
-.func julia_memset&#40;.param .b64 arr, .param .b32 val&#41; &#123;
-        .reg .f32       &#37;f&lt;2&gt;;
-        .reg .b32       &#37;r&lt;5&gt;;
-        .reg .b64       &#37;rd&lt;5&gt;;
-
-        ld.param.u64    &#37;rd1, &#91;arr&#93;;
-        ld.param.f32    &#37;f1, &#91;val&#93;;
-        mov.u32         &#37;r1, &#37;ctaid.x;
-        mov.u32         &#37;r2, &#37;ntid.x;
-        mov.u32         &#37;r3, &#37;tid.x;
-        mad.lo.s32      &#37;r4, &#37;r2, &#37;r1, &#37;r3;
-        ld.u64          &#37;rd2, &#91;&#37;rd1&#93;;
-        mul.wide.s32    &#37;rd3, &#37;r4, 4;
-        add.s64         &#37;rd4, &#37;rd2, &#37;rd3;
-        st.global.f32   &#91;&#37;rd4&#93;, &#37;f1;
-        ret;
-&#125;</code></pre>
-<p>On CUDA.jl 3.4, this simple function used 3 more 64-bit registers:</p>
-<pre><code class="language-julia">.func julia_memset&#40;.param .b64 arr, .param .b32 val&#41; &#123;
-        .reg .f32       &#37;f&lt;2&gt;;
-        .reg .b32       &#37;r&lt;5&gt;;
-        .reg .b64       &#37;rd&lt;8&gt;;
-
-        ld.param.u64    &#37;rd1, &#91;arr&#93;;
-        ld.param.f32    &#37;f1, &#91;val&#93;;
-        mov.u32         &#37;r1, &#37;ctaid.x;
-        mov.u32         &#37;r2, &#37;ntid.x;
-        mul.wide.u32    &#37;rd2, &#37;r2, &#37;r1;
-        mov.u32         &#37;r3, &#37;tid.x;
-        add.s32         &#37;r4, &#37;r3, 1;
-        cvt.u64.u32     &#37;rd3, &#37;r4;
-        ld.u64          &#37;rd4, &#91;&#37;rd1&#93;;
-        add.s64         &#37;rd5, &#37;rd2, &#37;rd3;
-        shl.b64         &#37;rd6, &#37;rd5, 2;
-        add.s64         &#37;rd7, &#37;rd4, &#37;rd6;
-        st.global.f32   &#91;&#37;rd7&#43;-4&#93;, &#37;f1;
-        ret;
-&#125;</code></pre>
-<h2 id="more_aggressive_memory_management"><a href="#more_aggressive_memory_management" class="header-anchor">More aggressive memory management</a></h2>
-<p>Starting with CUDA 3.8, the memory pool used to allocate <code>CuArray</code>s will be configured differently: The pool will now be <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1344">allowed to use all available GPU memory</a>, whereas previously all cached memory was released at each synchronization point. This can significantly improve performance, and makes synchronization much cheaper.</p>
-<p>This behavior can be observed by calling the <code>memory_status&#40;&#41;</code> function:</p>
-<pre><code class="language-julia-repl">julia&gt; CUDA.memory_status&#40;&#41;
-Effective GPU memory usage: 13.57&#37; &#40;2.001 GiB/14.751 GiB&#41;
-Memory pool usage: 0 bytes &#40;0 bytes reserved&#41;
-
-julia&gt; a &#61; CuArray&#123;Float32&#125;&#40;undef, &#40;1024, 1024, 1024&#41;&#41;;
-julia&gt; Base.format_bytes&#40;sizeof&#40;a&#41;&#41;
-&quot;4.000 GiB&quot;
-
-julia&gt; a &#61; nothing
-julia&gt; GC.gc&#40;&#41;
-
-julia&gt; CUDA.memory_status&#40;&#41;
-Effective GPU memory usage: 40.59&#37; &#40;5.988 GiB/14.751 GiB&#41;
-Memory pool usage: 0 bytes &#40;4.000 GiB reserved&#41;</code></pre>
-<p>So far nothing new. On previous versions of CUDA.jl however, any subsequent synchronization of the GPU &#40;e.g., by copying memory to the CPU&#41; would have resulted in a release of this reserved memory. This is not the case anymore:</p>
-<pre><code class="language-julia-repl">julia&gt; synchronize&#40;&#41;
-
-julia&gt; CUDA.memory_status&#40;&#41;
-Effective GPU memory usage: 40.59&#37; &#40;5.988 GiB/14.751 GiB&#41;
-Memory pool usage: 0 bytes &#40;4.000 GiB reserved&#41;</code></pre>
-<p>If you still want to release this memory, you can call the <code>reclaim&#40;&#41;</code> function:</p>
-<pre><code class="language-julia-repl">julia&gt; CUDA.reclaim&#40;&#41;
-
-julia&gt; CUDA.memory_status&#40;&#41;
-Effective GPU memory usage: 13.48&#37; &#40;1.988 GiB/14.751 GiB&#41;
-Memory pool usage: 0 bytes &#40;0 bytes reserved&#41;</code></pre>
-<p>With interactive Julia sessions, this function is called periodically so that the GPU&#39;s memory isn&#39;t held on to unnecessarily. Otherwise it shouldn&#39;t be necessary to call this function, as memory is freed automatically when it is needed.</p>
-<h2 id="minor_changes_and_improvements"><a href="#minor_changes_and_improvements" class="header-anchor">Minor changes and improvements</a></h2>
-<ul>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/1217">Bitonic sort</a> is now used instead of quicksort &#40;by <a href="https://github.com/xaellison">@xaellison</a>&#41;.</p>
-</li>
-<li><p><code>CuDeviceArray</code> <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1303">now stores the length of the array</a>, greatly speeding up indexing with high-dimensional arrays.</p>
-</li>
-<li><p>Device intrinsics <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1305">cannot be called on the CPU anymore</a>, protecting against segfaults when something isn&#39;t dispatching correctly.</p>
-</li>
-<li><p>Support for Multi-GPU instances <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1199">has been improved</a>, providing the <code>parent_uuid</code> function to look up the UUID of the parent device.</p>
-</li>
-<li><p><code>randn</code> and <code>randexp</code> <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1236">are now supported in kernel code</a>, which should help with initial support of Distributions.jl-based operations.</p>
-</li>
-</ul>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2022-04-06-oneapi_update/index.html b/previews/PR41/post/2022-04-06-oneapi_update/index.html
deleted file mode 100644
index f709368..0000000
--- a/previews/PR41/post/2022-04-06-oneapi_update/index.html
+++ /dev/null
@@ -1,222 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>oneAPI.jl status update ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>oneAPI.jl status update</h1>
-      <i data-feather=calendar></i>
-<time datetime=2022-4-6>Apr 6, 2022</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>It has been over a year since the last update on oneAPI.jl, the Julia package for programming Intel GPUs &#40;and other accelerators&#41; using the oneAPI toolkit. Since then, the package has been under steady development, and several new features have been added to improve the developer experience and usability of the package.</p>
-<h2 id="atomic_intrinsics"><a href="#atomic_intrinsics" class="header-anchor"><code>@atomic</code> intrinsics</a></h2>
-<p>oneAPI.jl <a href="https://github.com/JuliaGPU/oneAPI.jl/pull/85">now supports</a> atomic operations, which are required to implement a variety of parallel algorithms. Low-level atomic functions &#40;<code>atomic_add&#33;</code>, <code>atomic_xchg&#33;</code>, etc&#41; are available as unexported methods in the oneAPI module:</p>
-<pre><code class="language-julia">a &#61; oneArray&#40;Int32&#91;0&#93;&#41;
-
-function kernel&#40;a&#41;
-    oneAPI.atomic_add&#33;&#40;pointer&#40;a&#41;, Int32&#40;1&#41;&#41;
-    return
-end
-
-@oneapi items&#61;256 kernel&#40;a&#41;
-@test Array&#40;a&#41;&#91;1&#93; &#61;&#61; 256</code></pre>
-<p>Note that these methods are only available for those types that are supported by the underlying OpenCL intrinsics. For example, the <code>atomic_add&#33;</code> from above can only be used with <code>Int32</code> and <code>UInt32</code> inputs.</p>
-<p>Most users will instead rely on the higher-level <code>@atomic</code> macro, which can be easily put in front of many array operations to make them behave atomically. To avoid clashing with the new <code>@atomic</code> macro in Julia 1.7, this macro is also unexported:</p>
-<pre><code class="language-julia">a &#61; oneArray&#40;Int32&#91;0&#93;&#41;
-
-function kernel&#40;a&#41;
-    oneAPI.@atomic a&#91;1&#93; &#43;&#61; Int32&#40;1&#41;
-    return
-end
-
-@oneapi items&#61;256 kernel&#40;a&#41;
-@test Array&#40;a&#41;&#91;1&#93; &#61;&#61; 512</code></pre>
-<p>When used with operations that are supported by OpenCL, this macro will lower to calls like <code>atomic_add&#33;</code>. For other operations, a compare-and-exchange loop will be used. Note that for now, this is still restricted to 32-bit operations, as we do not support the <code>cl_khr_int64_base_atomics</code> extension for 64-bit atomics.</p>
-<h2 id="initial_integration_with_vendor_libraries"><a href="#initial_integration_with_vendor_libraries" class="header-anchor">Initial integration with vendor libraries</a></h2>
-<p>One significant missing features is the integration with vendor libraries like oneMKL. These integrations are required to ensure good performance for important operations like matrix multiplication, which currently fall-back to generic implementations in Julia that may not always perform as good.</p>
-<p>To improve this situation, we <a href="https://github.com/JuliaGPU/oneAPI.jl/pull/97">are working on</a> a wrapper library that allows us to integrate with oneMKL and other oneAPI and SYCL libraries. Currently, only matrix multiplication is supported, but once the infrastructural issues are worked out we expect to quickly support many more operations.</p>
-<p>If you need support for specific libraries, please have a look at this PR. As the API surface is significant, we will need help to extend the wrapper library and integrate it with high-level Julia libraries like LinearAlgebra.jl.</p>
-<h2 id="correctness_issues"><a href="#correctness_issues" class="header-anchor">Correctness issues</a></h2>
-<p>In porting existing Julia GPU applications to oneAPI.jl, we fixed several issues that caused correctness issues when executing code on Intel GPUs:</p>
-<ul>
-<li><p>when the garbage collector frees GPU memory, <a href="https://github.com/JuliaGPU/oneAPI.jl/pull/157">it now blocks</a> until all outstanding commands &#40;which may include uses of said memory&#41; are completes</p>
-</li>
-<li><p>the <code>barrier</code> function to synchronize threads <a href="https://github.com/JuliaGPU/oneAPI.jl/pull/162">is now</a> marked as <code>convert</code> to avoid LLVM miscompilations</p>
-</li>
-</ul>
-<p>Note that if you are using Tiger Lake hardware, there is currently a <a href="https://github.com/intel/compute-runtime/issues/522">known issue</a> in the back-end Intel compiler that affects oneAPI.jl, causing correctness issues that can be spotted by running the oneAPI.jl test suite.</p>
-<h2 id="future_work"><a href="#future_work" class="header-anchor">Future work</a></h2>
-<p>To significantly improve usability of oneAPI.jl, we will add support to the KernelAbstraction.jl package. This library is used by <a href="https://juliahub.com/ui/Packages/KernelAbstractions/aywHT/0.7.2?page&#61;2">many other packages</a> for adding GPU acceleration to algorithms that cannot be easily expressed using only array operations. As such, support for oneAPI.jl will make it possible to use your oneAPI GPUs with all of these packages.</p>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2022-06-24-metal/index.html b/previews/PR41/post/2022-06-24-metal/index.html
deleted file mode 100644
index 95e2b5e..0000000
--- a/previews/PR41/post/2022-06-24-metal/index.html
+++ /dev/null
@@ -1,352 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>Technical preview: Programming Apple M1 GPUs in Julia with Metal.jl ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>Technical preview: Programming Apple M1 GPUs in Julia with Metal.jl</h1>
-      <i data-feather=calendar></i>
-<time datetime=2022-6-24>Jun 24, 2022</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>Julia has gained a new GPU back-end: Metal.jl, for working with Apple&#39;s M1   GPUs. The back-end is built on the same foundations that make up existing   GPU packages like CUDA.jl and AMDGPU.jl, so it should be familiar to anybody   who&#39;s already programmed GPUs in Julia. In the following post I&#39;ll demonstrate   some of that functionality and explain how it works.</p>
-<p>But first, note that <strong><a href="https://github.com/JuliaGPU/Metal.jl">Metal.jl</a> is under heavy development</strong>: The package is considered experimental for now, as we&#39;re still working on squashing bugs and adding essential functionality. We also haven&#39;t optimized for performance yet. If you&#39;re interesting in using Metal.jl, please consider contributing to its development&#33; Most of the package is written in Julia, and checking-out the source code is a single <code>Pkg.develop</code> away :-&#41;</p>
-<h2 id="quick_start"><a href="#quick_start" class="header-anchor">Quick start</a></h2>
-<p>Start by getting a hold of the upcoming <a href="https://julialang.org/downloads/#upcoming_release">Julia 1.8</a>, launch it, and enter the package manager by pressing <code>&#93;</code>:</p>
-<pre><code class="language-text">julia&gt; &#93;
-
-pkg&gt; add Metal
-  Installed Metal</code></pre>
-<p>Installation is as easy as that, and we&#39;ll automatically download the necessary binary artifacts &#40;a C wrapper for the Metal APIs, and an LLVM back-end&#41;. Then, leave the package manager by pressing backspace, import the Metal package, and e.g. call the <code>versioninfo&#40;&#41;</code> method for some details on the toolchain:</p>
-<pre><code class="language-text">julia&gt; using Metal
-
-julia&gt; Metal.versioninfo&#40;&#41;
-macOS 13.0.0, Darwin 21.3.0
-
-Toolchain:
-- Julia: 1.8.0-rc1
-- LLVM: 13.0.1
-
-1 device:
-- Apple M1 Pro &#40;64.000 KiB allocated&#41;</code></pre>
-<p>And there we go&#33; You&#39;ll note here that I&#39;m using the upcoming macOS 13 &#40;Ventura&#41;; this is currently the only supported operating system. We also only support M-series GPUs, even though Metal does support other GPUs. These choices were made to simplify development, and aren&#39;t technical limitations. In fact, Metal.jl <em>does</em> work on e.g. macOS Monterey with an Intel GPU, but it&#39;s an untested combination that may suffer from bugs.</p>
-<h2 id="array_programming"><a href="#array_programming" class="header-anchor">Array programming</a></h2>
-<p>Just like our other GPU back-ends, Metal.jl offers an array abstraction that greatly simplifies GPU programming. The abstraction centers around the <code>MtlArray</code> type that can be used to manage memory and perform GPU computations:</p>
-<pre><code class="language-julia"># allocate &#43; initialize
-julia&gt; a &#61; MtlArray&#40;rand&#40;Float32, 2, 2&#41;&#41;
-2×2 MtlArray&#123;Float32, 2&#125;:
- 0.158752  0.836366
- 0.535798  0.153554
-
-# perform some GPU-accelerated operations
-julia&gt; b &#61; a * a
-2×2 MtlArray&#123;Float32, 2&#125;:
- 0.473325  0.261202
- 0.167333  0.471702
-
-# back to the CPU
-julia&gt; Array&#40;b&#41;
-2×2 Matrix&#123;Float32&#125;:
- 0.473325  0.261202
- 0.167333  0.471702</code></pre>
-<p>Beyond these simple operations, Julia&#39;s higher-order array abstractions can be used to express more complex operations without ever having to write a kernel:</p>
-<pre><code class="language-julia">julia&gt; mapreduce&#40;sin, &#43;, a; dims&#61;1&#41;
-1×2 MtlArray&#123;Float32, 2&#125;:
- 1.15276  0.584146
-
-julia&gt; cos.&#40;a .&#43; 2&#41; .* 3
-2×2 MtlArray&#123;Float32, 2&#125;:
- -2.0472   -1.25332
- -2.96594  -2.60351</code></pre>
-<p>Much of this functionality comes from the <a href="https://github.com/JuliaGPU/GPUArrays.jl/">GPUArrays.jl</a> package, which provides vendor-neutral implementations of common array operations. As a result, <code>MtlArray</code> is already pretty capable, and should be usable with realistic array-based applications.</p>
-<h2 id="kernel_programming"><a href="#kernel_programming" class="header-anchor">Kernel programming</a></h2>
-<p>Metal.jl&#39;s array operations are implemented in Julia, using our native kernel programming capabilities and accompanying JIT-compiler. A small demonstration:</p>
-<pre><code class="language-julia"># a simple kernel that sets elements of an array to a value
-function memset_kernel&#40;array, value&#41;
-  i &#61; thread_position_in_grid_1d&#40;&#41;
-  if i &lt;&#61; length&#40;array&#41;
-    @inbounds array&#91;i&#93; &#61; value
-  end
-  return
-end
-
-a &#61; MtlArray&#123;Float32&#125;&#40;undef, 512&#41;
-@metal threads&#61;512 grid&#61;2 memset_kernel&#40;a, 42&#41;
-
-# verify
-@assert all&#40;isequal&#40;42&#41;, Array&#40;a&#41;&#41;</code></pre>
-<p>As can be seen here, we&#39;ve opted to deviate slightly from the Metal Shading Language, instead providing a programming experience that&#39;s similar to Julia&#39;s existing back-ends. Some key differences:</p>
-<ul>
-<li><p>we use intrinsic functions instead of special kernel function arguments to access properties like the thread position, grid size, ...;</p>
-</li>
-<li><p>all types of arguments &#40;buffers, indirect buffers, value-typed inputs&#41; are transparently converted to a GPU-compatible structure<sup id="fnref:1"><a href="#fndef:1" class="fnref">[1]</a></sup>;</p>
-</li>
-<li><p>global &#40;task-bound&#41; state is used to keep track of the active device and a queue;</p>
-</li>
-<li><p>compute pipeline set-up and command encoding is hidden behind a single macro.</p>
-</li>
-</ul>
-<p>Behind the scenes, we compile Julia to LLVM IR and use a <a href="https://github.com/JuliaGPU/llvm-metal">tiny LLVM back-end</a> &#40;based on <a href="https://github.com/a2flo">@a2flo</a>&#39;s <a href="https://github.com/a2flo/floor">libfloor</a>&#41; that &#40;re&#41;writes the bitcode to a Metal-compatible library containing LLVM 5 bitcode. You can inspect the generated IR using <code>@device_code_metal</code>:</p>
-<pre><code class="language-julia">julia&gt; @device_code_metal @metal threads&#61;512 grid&#61;2 memset_kernel&#40;a, 42&#41;</code></pre>
-<pre><code class="language-text">&#91;header&#93;
-program_count: 1
-...
-
-&#91;program&#93;
-name: julia_memset_kernel
-type: kernel
-...</code></pre>
-<pre><code class="language-llvm">target datalayout &#61; &quot;...&quot;
-target triple &#61; &quot;air64-apple-macosx13.0.0&quot;
-
-; the &#40;rewritten&#41; kernel function:
-;  - &#37;value argument passed by reference
-;  - &#37;thread_position_in_grid argument added
-;  - sitofp rewritten to AIR-specific intrinsic
-define void @julia_memset_kernel&#40;
-    &#123; i8 addrspace&#40;1&#41;*, &#91;1 x i64&#93; &#125; addrspace&#40;1&#41;* &#37;array,
-    i64 addrspace&#40;1&#41;* &#37;value,
-    i32 &#37;thread_position_in_grid&#41; &#123;
-  ...
-  &#37;9 &#61; tail call float @air.convert.f.f32.s.i64&#40;i64 &#37;7&#41;
-  ...
-  ret void
-&#125;
-
-; minimal required argument metadata
-&#33;air.kernel &#61; &#33;&#123;&#33;10&#125;
-&#33;10 &#61; &#33;&#123;void &#40;&#123; i8 addrspace&#40;1&#41;*, &#91;1 x i64&#93; &#125; addrspace&#40;1&#41;*,
-              i64 addrspace&#40;1&#41;*, i32&#41;* @julia_memset_kernel, &#33;11, &#33;12&#125;
-&#33;12 &#61; &#33;&#123;&#33;13, &#33;14, &#33;15&#125;
-&#33;13 &#61; &#33;&#123;i32 0, &#33;&quot;air.buffer&quot;, &#33;&quot;air.location_index&quot;, i32 0, i32 1,
-       &#33;&quot;air.read_write&quot;, &#33;&quot;air.address_space&quot;, i32 1,
-       &#33;&quot;air.arg_type_size&quot;, i32 16, &#33;&quot;air.arg_type_align_size&quot;, i32 8&#125;
-&#33;14 &#61; &#33;&#123;i32 1, &#33;&quot;air.buffer&quot;, &#33;&quot;air.location_index&quot;, i32 1, i32 1,
-       &#33;&quot;air.read_write&quot;, &#33;&quot;air.address_space&quot;, i32 1,
-       &#33;&quot;air.arg_type_size&quot;, i32 8, &#33;&quot;air.arg_type_align_size&quot;, i32 8&#125;
-&#33;15 &#61; &#33;&#123;i32 0, &#33;&quot;air.thread_position_in_grid&quot;&#125;
-
-; other metadata not shown, for brevity</code></pre>
-<p>Shout-out to <a href="https://github.com/max-Hawkins">@max-Hawkins</a> for exploring Metal code generation during his internship at Julia Computing&#33;</p>
-<h2 id="metal_apis_in_julia"><a href="#metal_apis_in_julia" class="header-anchor">Metal APIs in Julia</a></h2>
-<p>Lacking an Objective C or C&#43;&#43; FFI, we interface with the Metal libraries using <a href="https://github.com/recp/cmt">a shim C library</a>. Most users won&#39;t have to interface with Metal directly – the array abstraction is sufficient for many – but more experienced developers can make use of the high-level wrappers that we&#39;ve designed for the Metal APIs:</p>
-<pre><code class="language-julia">julia&gt; dev &#61; MtlDevice&#40;1&#41;
-MtlDevice:
-  name:             Apple M1 Pro
-  lowpower:         false
-  headless:         false
-  removable:        false
-  unified memory:   true
-
-julia&gt; desc &#61; MtlHeapDescriptor&#40;&#41;
-MtlHeapDescriptor:
-  type:             MtHeapTypeAutomatic
-  storageMode:      MtStorageModePrivate
-  size:             0
-
-julia&gt; desc.size &#61; 16384
-16384
-
-julia&gt; heap &#61; MtlHeap&#40;dev, desc&#41;
-MtlHeap:
-  type:                 MtHeapTypeAutomatic
-  size:                 16384
-  usedSize:             0
-  currentAllocatedSize: 16384
-
-# etc</code></pre>
-<p>These wrappers are based on <a href="https://github.com/PhilipVinc">@PhilipVinc</a>&#39;s excellent work on MetalCore.jl, which formed the basis for &#40;and has been folded into&#41; Metal.jl.</p>
-<h2 id="whats_next"><a href="#whats_next" class="header-anchor">What&#39;s next?</a></h2>
-<p>The current release of Metal.jl focusses on code generation capabilities, and is meant as a preview for users and developers to try out on their system or with their specific GPU application. It is not production-ready yet, and is lacking some crucial features:</p>
-<ul>
-<li><p>performance optimization</p>
-</li>
-<li><p>integration with Metal Performance Shaders</p>
-</li>
-<li><p>integration / documentation for use with Xcode tools</p>
-</li>
-<li><p>fleshing out the array abstraction based on user feedback</p>
-</li>
-</ul>
-<p><strong>Please consider helping out with any of these&#33;</strong> Since Metal.jl and its dependencies are almost entirely implemented in Julia, any experience with the language is sufficient to contribute. If you&#39;re not certain, or have any questions, please drop by the <code>#gpu</code> channel on <a href="https://julialang.org/slack/">the JuliaLang Slack</a>, ask questions on our <a href="https://discourse.julialang.org/c/domain/gpu/11">Discourse</a>, or chat to us during the <a href="https://julialang.org/community/#events">GPU office hours</a> every other Monday.</p>
-<p>If you encounter any bugs, feel free to let us know on the <a href="https://github.com/JuliaGPU/Metal.jl/issues">Metal.jl issue tracker</a>. For information on upcoming releases, <a href="https://juliagpu.org/post/">subscribe</a> to this website&#39;s blog where we post about significant developments in Julia&#39;s GPU ecosystem.</p>
-<hr />
-<p><table class="fndef" id="fndef:1">
-    <tr>
-        <td class="fndef-backref"><a href="#fnref:1">[1]</a></td>
-        <td class="fndef-content">This relies on Metal 3 from macOS 13, which introduced bindless argument</td>
-    </tr>
-</table>
-      buffers, as we didn&#39;t fully figure out how to reliably encode       arbitrarily-nested indirect buffers in argument encoder metadata.</p>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2023-02-01-cuda_4.0/index.html b/previews/PR41/post/2023-02-01-cuda_4.0/index.html
deleted file mode 100644
index 7459a36..0000000
--- a/previews/PR41/post/2023-02-01-cuda_4.0/index.html
+++ /dev/null
@@ -1,302 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>CUDA.jl 4.0 ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>CUDA.jl 4.0</h1>
-      <i data-feather=calendar></i>
-<time datetime=2023-2-1>Feb 1, 2023</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>CUDA.jl 4.0 is a breaking release that introduces the use of JLLs to provide the CUDA toolkit. This makes it possible to compile other binary libaries against the CUDA runtime, and use them together with CUDA.jl. The release also brings CUSPARSE improvements, the ability to limit memory use, and many bug fixes and performance improvements.</p>
-<h2 id="jlls_for_cuda_artifacts"><a href="#jlls_for_cuda_artifacts" class="header-anchor">JLLs for CUDA artifacts</a></h2>
-<p>While CUDA.jl has been using binary artifacts for a while, it was manually managing installation and selection of them, i.e., not by using standardised JLL packages. This complicated use of the artifacts by other packages, and made it difficult to build other binary packages against the CUDA runtime.</p>
-<p>With CUDA.jl 4.0, we now use JLLs to load the CUDA driver and runtime. Specifically, there are two JLLs in play: <code>CUDA_Driver_jll</code> and <code>CUDA_Runtime_jll</code>. The former is responsible for loading the CUDA driver library &#40;possibly upgrading it using a forward-compatible version&#41;, and determining the CUDA version that your set-up supports:</p>
-<pre><code class="language-julia-repl">❯ JULIA_DEBUG&#61;CUDA_Driver_jll julia
-julia&gt; using CUDA_Driver_jll
-┌ System CUDA driver found at libcuda.so.1, detected as version 12.0.0
-└ @ CUDA_Driver_jll
-┌ System CUDA driver is recent enough; not using forward-compatible driver
-└ @ CUDA_Driver_jll</code></pre>
-<p>With the driver identified and loaded, <code>CUDA_Runtime_jll</code> can select a compatible toolkit. By default, it uses the latest supported toolkit that is compatible with the driver:</p>
-<pre><code class="language-julia-repl">julia&gt; using CUDA_Runtime_jll
-
-julia&gt; CUDA_Runtime_jll.cuda_toolkits
-10-element Vector&#123;VersionNumber&#125;:
- v&quot;10.2.0&quot;
- v&quot;11.0.0&quot;
- v&quot;11.1.0&quot;
- v&quot;11.2.0&quot;
- v&quot;11.3.0&quot;
- v&quot;11.4.0&quot;
- v&quot;11.5.0&quot;
- v&quot;11.6.0&quot;
- v&quot;11.7.0&quot;
- v&quot;11.8.0&quot;
-
-julia&gt; CUDA_Runtime_jll.host_platform
-Linux x86_64 &#123;cuda&#61;11.8&#125;</code></pre>
-<p>As you can see, the selected CUDA runtime is encoded in the host platform. This makes it possible for Julia to automatically select compatible versions of other binary packages. For example, if we install and load <code>SuiteSparse_GPU_jll</code>, which right now <a href="https://github.com/JuliaPackaging/Yggdrasil/blob/2f5a64d9f61d0f1b619367b03b5cecae979ed6d1/S/SuiteSparse/SuiteSparse_GPU/build_tarballs.jl#L104-L126">provides builds</a> for CUDA 10.2, 11.0 and 12.0, the artifact resolution code knows to load the build for CUDA 11.0 which is compatible with the selected CUDA 11.8 runtime:</p>
-<pre><code class="language-julia">julia&gt; using SuiteSparse_GPU_jll
-
-julia&gt; SuiteSparse_GPU_jll.best_wrapper
-&quot;~/.julia/packages/SuiteSparse_GPU_jll/.../x86_64-linux-gnu-cuda&#43;11.0.jl&quot;</code></pre>
-<p>The change to JLLs requires a breaking change: the <code>JULIA_CUDA_VERSION</code> and <code>JULIA_CUDA_USE_BINARYBUILDER</code> environment variables have been removed, and are replaced by preferences that are set in the current environment. For convenience, you can set these preferences by calling <code>CUDA.set_runtime_version&#33;</code>:</p>
-<pre><code class="language-julia-repl">❯ julia --project
-julia&gt; using CUDA
-julia&gt; CUDA.runtime_version&#40;&#41;
-v&quot;11.8.0&quot;
-
-julia&gt; CUDA.set_runtime_version&#33;&#40;v&quot;11.7&quot;&#41;
-┌ Set CUDA Runtime version preference to 11.7,
-└ please re-start Julia for this to take effect.
-
-❯ julia --project
-julia&gt; using CUDA
-julia&gt; CUDA.runtime_version&#40;&#41;
-v&quot;11.7.0&quot;
-
-julia&gt; using CUDA_Runtime_jll
-julia&gt; CUDA_Runtime_jll.host_platform
-Linux x86_64 &#123;cuda&#61;11.7&#125;</code></pre>
-<p>The changed preference is reflected in the host platform, which means that you can use this mechanism to load a different builds of other binary packages. For example, if you rely on a package or JLL that does not yet have a build for CUDA 12, you could set the preference to <code>v&quot;11.x&quot;</code> to load an available build.</p>
-<p>For discovering a local runtime, you can set the version to <code>&quot;local&quot;</code>, which will replace the use of <code>CUDA_Runtime_jll</code> by <code>CUDA_Runtime_discovery.jl</code>, an API-compatible package that replaces the JLL with a local runtime discovery mechanism:</p>
-<pre><code class="language-julia-repl">❯ julia --project
-julia&gt; CUDA.set_runtime_version&#33;&#40;&quot;local&quot;&#41;
-┌ Set CUDA Runtime version preference to local,
-└ please re-start Julia for this to take effect.
-
-❯ JULIA_DEBUG&#61;CUDA_Runtime_Discovery julia --project
-julia&gt; using CUDA
-┌ Looking for CUDA toolkit via environment variables CUDA_PATH
-└ @ CUDA_Runtime_Discovery
-┌ Looking for binary ptxas in /opt/cuda
-│   all_locations &#61;
-│    2-element Vector&#123;String&#125;:
-│     &quot;/opt/cuda&quot;
-│     &quot;/opt/cuda/bin&quot;
-└ @ CUDA_Runtime_Discovery
-┌ Debug: Found ptxas at /opt/cuda/bin/ptxas
-└ @ CUDA_Runtime_Discovery
-...</code></pre>
-<h2 id="memory_limits"><a href="#memory_limits" class="header-anchor">Memory limits</a></h2>
-<p>By popular demand, support for memory limits has been reinstated. This functionality had been removed after the switch to CUDA memory pools, as the memory pool allocator does not yet support memory limits. Awaiting improvements by NVIDIA, we have added functionality to impose memory limits from the Julia side, in the form of two environment variables:</p>
-<ul>
-<li><p><code>JULIA_CUDA_SOFT_MEMORY_LIMIT</code>: This is an advisory limit, used to configure the memory pool, which will result in the pool being shrunk down to the requested limit at every synchronization point. That means that the pool may temporarily grow beyond the limit. This limit is unavailable when disabling memory pools &#40;with <code>JULIA_CUDA_MEMORY_POOL&#61;none</code>&#41;.</p>
-</li>
-<li><p><code>JULIA_CUDA_HARD_MEMORY_LIMIT</code>: This is a hard limit, checked before every allocation. Doing so is relatively expensive, so it is recommended to use the soft limit instead.</p>
-</li>
-</ul>
-<p>The value of these variables can be formatted as a numer of bytes, optionally followed by a unit, or as a percentage of the total device memory. Examples: <code>100M</code>, <code>50&#37;</code>, <code>1.5GiB</code>, <code>10000</code>.</p>
-<h2 id="cusparse_improvements"><a href="#cusparse_improvements" class="header-anchor">CUSPARSE improvements</a></h2>
-<p>Thanks to the work of <a href="https://github.com/amontoison">@amontoison</a>, the CUSPARSE interface has undergone many improvements:</p>
-<ul>
-<li><p>Better support of the <code>CuSparseMatrixCOO</code> format with, in particular, the addition of <code>CuSparseMatrixCOO * CuVector</code> and <code>CuSparseMatrixCOO * CuMatrix</code> products;</p>
-</li>
-<li><p>Routines specialized for <code>-</code>, <code>&#43;</code>, <code>*</code> operations between sparse matrices &#40;<code>CuSparseMatrixCOO</code>, <code>CuSparseMatrixCSC</code> and <code>CuSparseMatrixCSR</code>&#41; have been interfaced;</p>
-</li>
-<li><p>New generic routines for backward and forward sweeps with sparse triangular matrices are now used by <code>\</code>;</p>
-</li>
-<li><p><code>CuMatrix * CuSparseVector</code> and <code>CuMatrix * CuSparseMatrix</code> products have been added;</p>
-</li>
-<li><p>Conversions between sparse and dense matrices have been updated for using more recent and optimized routines;</p>
-</li>
-<li><p>High-level Julia functions for the new set of sparse BLAS 1 routines such as dot products between <code>CuSparseVector</code>;</p>
-</li>
-<li><p>Add missing dispatchs for <code>mul&#33;</code> and <code>ldiv&#33;</code> functions;</p>
-</li>
-<li><p>Interfacing of almost all new CUSPARSE routines added by the CUDA toolkits <code>v&quot;11.x&quot;</code>.</p>
-</li>
-</ul>
-<h2 id="other_changes"><a href="#other_changes" class="header-anchor">Other changes</a></h2>
-<ul>
-<li><p>Removal of the CUDNN, CUTENSOR, CUTENSORNET and CUSTATEVEC submodules: These have been moved into their own packages, respectively cuDNN.jl, cuTENSOR.jl, cuTensorNet.jl and cuStateVec.jl &#40;note the change in capitalization, now following NVIDIA&#39;s naming scheme&#41;;</p>
-</li>
-<li><p>Removal of the NVTX submodule: NVTX.jl should be used instead, which is a more complete implementation of the NVTX API;</p>
-</li>
-<li><p>Support for CUDA 11.8 &#40;support for CUDA 12.0 is being worked on&#41;;</p>
-</li>
-<li><p>Support for Julia 1.9.</p>
-</li>
-</ul>
-<h2 id="backport_releases"><a href="#backport_releases" class="header-anchor">Backport releases</a></h2>
-<p>Because CUDA.jl 4.0 is a breaking release, two additional releases have been made that backport bugfixes and select features:</p>
-<ul>
-<li><p>CUDA.jl 3.12.1 and 3.12.2: backports of bugfixes since 3.12</p>
-</li>
-<li><p>CUDA.jl 3.13.0: additionally adding the memory limit functionality</p>
-</li>
-</ul>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2023-02-08-oneapi_1.0/index.html b/previews/PR41/post/2023-02-08-oneapi_1.0/index.html
deleted file mode 100644
index 8c1e836..0000000
--- a/previews/PR41/post/2023-02-08-oneapi_1.0/index.html
+++ /dev/null
@@ -1,255 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>oneAPI.jl 1.0: oneMKL, Intel Arc and Julia 1.9 ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>oneAPI.jl 1.0: oneMKL, Intel Arc and Julia 1.9</h1>
-      <i data-feather=calendar></i>
-<time datetime=2023-2-8>Feb 8, 2023</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>The release of oneAPI.jl 1.0 adds integration with the oneAPI Math Kernel Library &#40;oneMKL&#41; to accelerate linear algebra operations on Intel GPUs. It also brings support for Julia 1.9 and Intel Arc GPUs.</p>
-<h2 id="onemkl_integration"><a href="#onemkl_integration" class="header-anchor">oneMKL integration</a></h2>
-<p>oneAPI.jl now uses the Intel oneAPI Math Kernel Library &#40;oneMKL&#41;, automatically downloaded as part of <code>oneAPI_Support_jll.jl</code>, to accelerate a great number of BLAS and LAPACK operations on Intel GPUs. Similar to how it is implemented in our other GPU back-ends, these wrappers are available at different levels of abstraction.</p>
-<p>At the lowest level, we use a C library that wraps the oneMKL C&#43;&#43; APIs. For example, the <code>oneapi::mkl::blas::column_major::gemm</code> function for matrix-matrix multiplication is wrapped by the C functions <code>onemklSgemm</code>, <code>onemklDgemm</code>, etc. These wrappers are used to implement low-level methods like <code>oneMKL.gemm&#33;</code>:</p>
-<pre><code class="language-julia-repl">julia&gt; using oneAPI
-
-julia&gt; A &#61; oneArray&#40;rand&#40;Float32, 2, 3&#41;&#41;;
-2×3 oneMatrix&#123;Float32, oneAPI.oneL0.DeviceBuffer&#125;:
- 0.44302   0.125576  0.859145
- 0.674291  0.428346  0.0400119
-julia&gt; B &#61; oneArray&#40;rand&#40;Float32, 3, 4&#41;&#41;
-3×4 oneMatrix&#123;Float32, oneAPI.oneL0.DeviceBuffer&#125;:
- 0.592748   0.529413   0.0323396  0.659528
- 0.22489    0.0872259  0.253291   0.376519
- 0.0121506  0.591135   0.706755   0.751686
-julia&gt; C &#61; similar&#40;B, &#40;2, 4&#41;&#41;;
-
-julia&gt; oneMKL.gemm&#33;&#40;&#39;N&#39;, &#39;N&#39;, true, A, B, true, C&#41;
-2×4 oneMatrix&#123;Float32, oneAPI.oneL0.DeviceBuffer&#125;:
- 0.301279  0.753365  0.65334   0.985274
- 0.496501  0.417994  0.158581  0.63607
-
-julia&gt; Array&#40;C&#41; ≈ Array&#40;A&#41; * Array&#40;B&#41;
-true</code></pre>
-<p>Of course, these low-level functions aren&#39;t very user-friendly, so we also integrate with Julia&#39;s standard libraries where possible:</p>
-<pre><code class="language-julia-repl">julia&gt; A &#61; oneArray&#40;rand&#40;Float32, 2, 3&#41;&#41;;
-julia&gt; B &#61; oneArray&#40;rand&#40;Float32, 3, 4&#41;&#41;;
-
-julia&gt; using LinearAlgebra
-julia&gt; C &#61; A * B;
-
-julia&gt; Array&#40;C&#41; ≈ Array&#40;A&#41; * Array&#40;B&#41;
-true</code></pre>
-<p>The most frequently used oneMKL BLAS functions have been wrapped and integrated with Julia’s standard linear algebra libraries. If you run into a missing function, please file a request to add it, or take a look at the source and contribute to oneAPI.jl&#33; The current state of the wrappers should make it easy to extend their functionality, as well as form a good basis for integrating with other libraries like oneDNN.</p>
-<h2 id="intel_arc_support"><a href="#intel_arc_support" class="header-anchor">Intel Arc support</a></h2>
-<p>The new Arc series of discrete Intel GPUs are now fully supported by oneAPI.jl. These GPUs offer a significant performance improvement over their integrated predecessors:</p>
-<pre><code class="language-julia-repl">julia&gt; using oneAPI
-julia&gt; oneAPI.versioninfo&#40;&#41;
-1 device:
-- Intel&#40;R&#41; Arc&#40;TM&#41; A770 Graphics &#91;0x56a0&#93;
-
-julia&gt; T &#61; Float32;
-julia&gt; n &#61; p &#61; m &#61; 2048;
-julia&gt; a &#61; oneArray&#40;rand&#40;T, n, p&#41;&#41;;
-julia&gt; b &#61; oneArray&#40;rand&#40;T, p, m&#41;&#41;;
-julia&gt; c &#61; oneArray&#40;zeros&#40;T, n, m&#41;&#41;;
-
-julia&gt; using BenchmarkTools, LinearAlgebra
-julia&gt; bench &#61; @benchmark oneAPI.@sync mul&#33;&#40;c, a, b&#41;
-BenchmarkTools.Trial: 1510 samples with 1 evaluation.
- Range &#40;min … max&#41;:  3.233 ms …  3.791 ms  ┊ GC &#40;min … max&#41;: 0.00&#37; … 0.00&#37;
- Time  &#40;median&#41;:     3.298 ms              ┊ GC &#40;median&#41;:    0.00&#37;
- Time  &#40;mean ± σ&#41;:   3.308 ms ± 48.426 μs  ┊ GC &#40;mean ± σ&#41;:  0.00&#37; ± 0.00&#37;
-
-        ▁▃▄▇█▅▄▃▂   ▁▁▁
-  ▁▁▃▃▅▇██████████████████▇▇▇▅▆▄▅▅▄▂▃▂▂▂▂▂▂▁▂▂▂▁▂▁▂▁▂▂▂▂▁▁▂▂ ▃
-  3.23 ms        Histogram: frequency by time        3.47 ms &lt;
-
- Memory estimate: 272 bytes, allocs estimate: 11.
-
-julia&gt; flops &#61; n*m*&#40;2p-1&#41;
-17175674880
-
-julia&gt; flops / &#40;minimum&#40;bench.times&#41;/1e9&#41;
-5.3131281169900205e12</code></pre>
-<p>For example, here we&#39;re getting over 5 TFlops of Float32 performance, which is over 10x faster than the Intel Xe Graphics G7 we had been previously using for oneAPI.jl development. At the same time, the A770 used above should be able to deliver close to 20 TFlops, so there&#39;s still room for improvement in our software stack.</p>
-<p>To use oneAPI.jl with an Arc series GPU, you need to run Linux 6.2. At the time of writing, that kernel is still in beta, so refer to your distribution&#39;s documentation for how to install it. For example, on Arch Linux you can use the <a href="https://aur.archlinux.org/packages/linux-mainline"><code>linux-mainline</code> package from the AUR</a>, Ubuntu has the <a href="https://wiki.ubuntu.com/Kernel/MainlineBuilds"><code>kernel-ppa</code> archive</a>, Fedora provides the <a href="https://fedoraproject.org/wiki/Kernel_Vanilla_Repositories"><code>stable-rc</code> repository</a>, etc.</p>
-<h2 id="other_changes"><a href="#other_changes" class="header-anchor">Other changes</a></h2>
-<ul>
-<li><p>Support for Julia 1.9 has been added.</p>
-</li>
-</ul>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2023-03-03-metal_0.2/index.html b/previews/PR41/post/2023-03-03-metal_0.2/index.html
deleted file mode 100644
index 4c0e1cc..0000000
--- a/previews/PR41/post/2023-03-03-metal_0.2/index.html
+++ /dev/null
@@ -1,250 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>Metal.jl 0.2: Metal Performance Shaders ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>Metal.jl 0.2: Metal Performance Shaders</h1>
-      <i data-feather=calendar></i>
-<time datetime=2023-3-3>Mar 3, 2023</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>Metal.jl 0.2 marks a significant milestone in the development of the Metal.jl package. The release comes with initial support for the Metal Perform Shaders &#40;MPS&#41; framework for accelerating common operations like matrix multiplications, as well as various improvements for writing Metal kernels in Julia.</p>
-<h2 id="metal_performance_shaders"><a href="#metal_performance_shaders" class="header-anchor">Metal Performance Shaders</a></h2>
-<p>Quoting the <a href="https://developer.apple.com/documentation/metalperformanceshaders">Apple documentation</a>, The Metal Performance Shaders &#40;MPS&#41; framework contains a collection of highly optimized compute and graphics shaders for use in Metal applications. With Metal.jl 0.2, we have added initial support for this framework, and used it to accelerate the matrix multiplication operation:</p>
-<pre><code class="language-julia-repl">julia&gt; using Metal, LinearAlgebra, BenchmarkTools
-julia&gt; n &#61; p &#61; m &#61; 2048
-julia&gt; flops &#61; n*m*&#40;2p-1&#41;
-17175674880
-
-julia&gt; a &#61; MtlArray&#40;rand&#40;Float32, n, p&#41;&#41;;
-julia&gt; b &#61; MtlArray&#40;rand&#40;Float32, p, m&#41;&#41;;
-julia&gt; c &#61; MtlArray&#40;zeros&#40;Float32, n, m&#41;&#41;;
-
-julia&gt; using LinearAlgebra
-julia&gt; bench &#61; @benchmark Metal.@sync mul&#33;&#40;c, a, b&#41;
-BenchmarkTools.Trial: 518 samples with 1 evaluation.
- Range &#40;min … max&#41;:  9.366 ms …  13.354 ms  ┊ GC &#40;min … max&#41;: 0.00&#37; … 0.00&#37;
- Time  &#40;median&#41;:     9.629 ms               ┊ GC &#40;median&#41;:    0.00&#37;
- Time  &#40;mean ± σ&#41;:   9.646 ms ± 192.169 μs  ┊ GC &#40;mean ± σ&#41;:  0.00&#37; ± 0.00&#37;
-
-               ▃▂▅▅▆▆▆▇█▇▇▆▅▄▄▁▁ ▁
-  ▄▁▄▄▄▄▆▆▆▄▄▁▇█████████████████▄█▄▁▆▁▄▁▆▁▇▁▄▄▁▁▄▄▇▁▄▆▄▁▁▁▁▁▄ █
-  9.37 ms      Histogram: log&#40;frequency&#41; by time      10.1 ms &lt;
-
- Memory estimate: 352 bytes, allocs estimate: 12.
-
-julia&gt; flops / &#40;minimum&#40;bench.times&#41;/1e9&#41;
-1.83e12</code></pre>
-<p>The benchmark above shows that on an 8-core M1 Pro matrix multiplication now reaches 1.8 TFLOPS &#40;out of the 2.6TFLOPS of theoretical performance&#41;. The accelerated matrix multiplication is available for a variety of input types, incuding mixed-mode operations, and as shown above is integrated with the LinearAlgebra.jl <code>mul&#33;</code> interface.</p>
-<p>Of course, the MPS framework offers more than just matrix multiplication, and we expect to support more of it in the future. If you have a specific operation you would like to use from Julia, please let us know by opening an issue on the Metal.jl repository.</p>
-<h2 id="gpu_profiling_support"><a href="#gpu_profiling_support" class="header-anchor">GPU profiling support</a></h2>
-<p>To support the development of Metal kernels, <a href="https://github.com/max-Hawkins">Max Hawkins</a> has added support for GPU profiling. Similar to how this works in CUDA.jl, you can run code under the <code>Metal.@profile</code> macro to record its execution. However, this does first require setting the <code>METAL_CAPTURE_ENABLED</code> environment flag <em>before</em> import Metal.jl:</p>
-<pre><code class="language-julia-repl">julia&gt; ENV&#91;&quot;METAL_CAPTURE_ENABLED&quot;&#93; &#61; 1
-
-julia&gt; using Metal
-
-julia&gt; a &#61; mtl&#40;rand&#40;1024, 1024&#41;&#41;
-julia&gt; Metal.@profile sum&#40;a&#41;
-&#91; Info: GPU frame capture saved to jl_metal.gputrace/</code></pre>
-<p>The resulting capture can be opened with Xcode, presenting a timeline that&#39;s similar to other profilers:</p>
-<figure>
-  <img src="/previews/PR41/post/2023-03-03-metal_0.2/xcode.png" alt="XCode viewing a Metal.jl capture trace">
-</figure>
-
-<h2 id="other_improvements"><a href="#other_improvements" class="header-anchor">Other improvements</a></h2>
-<ul>
-<li><p>Julia 1.9 is supported, but requires an up-to-date macOS version &#40;issues have been encountered on macOS 12.4&#41;;</p>
-</li>
-<li><p>An <code>mtl</code> function has been added for converting Julia arrays to Metal arrays, similar to the <code>cu</code> function in CUDA.jl;</p>
-</li>
-<li><p>Multiple GPUs are supported, and the <code>device&#33;</code> function can be used to select one;</p>
-</li>
-<li><p>Coverage for SIMD Group functions has been improved, so it&#39;s is now possible to use <code>simdgroup_load</code>, <code>simdgroup_store</code>, <code>simdgroup_multiply</code>, and <code>simdgroup_multiply_accumulate</code> in kernels functions.</p>
-</li>
-</ul>
-<h2 id="future_work"><a href="#future_work" class="header-anchor">Future work</a></h2>
-<p>Although Metal.jl is now usable for a variety of applications, there is still work to be done before it can be considered production-ready. In particular:</p>
-<ul>
-<li><p>there are known performance issues with <code>mapreduce</code>, and other operations that realy on <code>CartesianIndices</code>;</p>
-</li>
-<li><p>the <code>libcmt</code> wrapper library for interfacing with the Metal APIs is cumbersome to use and improve, and we are looking into native ObjectiveC FFI instead;</p>
-</li>
-<li><p>the MPS wrappers are incomplete, and similar to the Metal APIs requires a replacement to <code>libcmt</code> to be improved;</p>
-</li>
-<li><p>support for atomic operations is missing, which is required to implement a full-featured KernelAbstractions.jl back-end.</p>
-</li>
-</ul>
-<p>Once &#40;most of&#41; these issues are addressed, we should be able to release Metal.jl 1.0.</p>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2023-03-03-metal_0.2/xcode.png b/previews/PR41/post/2023-03-03-metal_0.2/xcode.png
deleted file mode 100644
index 3a59350..0000000
Binary files a/previews/PR41/post/2023-03-03-metal_0.2/xcode.png and /dev/null differ
diff --git a/previews/PR41/post/2023-07-19-oneapi_profiling/index.html b/previews/PR41/post/2023-07-19-oneapi_profiling/index.html
deleted file mode 100644
index 1d03681..0000000
--- a/previews/PR41/post/2023-07-19-oneapi_profiling/index.html
+++ /dev/null
@@ -1,283 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>Profiling oneAPI.jl applications with VTune ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>Profiling oneAPI.jl applications with VTune</h1>
-      <i data-feather=calendar></i>
-<time datetime=2023-7-19>Jul 19, 2023</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>Profiling GPU applications is hard, so this post shows how to use Intel&#39;s VTune Profiler to profile GPU applications written in Julia with oneAPI.jl.</p>
-<p>Because of the asynchronous nature of GPU execution, profiling GPU applications with Julia&#39;s tried and tested tools like <code>@profile</code> or even <code>@time</code> can be misleading: They will only show the time spent on the CPU, and will likely report that your application is spending most of its time waiting for the GPU.</p>
-<p>To get a better understanding of what is happening on the GPU, we need specialized tools. In this post, we&#39;ll show how to use Intel&#39;s VTune Profiler to profile GPU applications written in Julia using oneAPI.jl.</p>
-<h2 id="set-up"><a href="#set-up" class="header-anchor">Set-up</a></h2>
-<p>Start by downloading and installing the <a href="https://www.intel.com/content/www/us/en/developer/tools/oneapi/vtune-profiler-download.html">Intel VTune Profiler</a>. This does not require administrative permissions, and will install in your home folder under the <code>intel</code> directory. On Linux, binaries will appear in <code>~/intel/oneapi/vtune/latest/bin64</code>. There are three that are particularly important:</p>
-<ul>
-<li><p><code>vtune</code>: a command-line tool to profile applications;</p>
-</li>
-<li><p><code>vtune-gui</code>: a graphical user interface to profile applications, or to visualize the results of a command-line profiling session;</p>
-</li>
-<li><p><code>vtune-backend</code>: a daemon that creates a web interface for VTune, which you can use to profile applications both locally and remotely.</p>
-</li>
-</ul>
-<h2 id="hello_vtune"><a href="#hello_vtune" class="header-anchor">Hello VTune&#33;</a></h2>
-<p>Let&#39;s start with a simple example: A Julia program that computes the sum of two arrays &#40;i.e., the <a href="https://github.com/JuliaGPU/oneAPI.jl/blob/master/examples/vadd.jl"><code>vadd</code> example</a> from the oneAPI repository&#41;:</p>
-<pre><code class="language-julia">using oneAPI
-
-function kernel&#40;a, b, c&#41;
-    i &#61; get_global_id&#40;&#41;
-    @inbounds c&#91;i&#93; &#61; a&#91;i&#93; &#43; b&#91;i&#93;
-    return
-end
-
-function vadd&#40;a, b&#41;
-    d_a &#61; oneArray&#40;a&#41;
-    d_b &#61; oneArray&#40;b&#41;
-    d_c &#61; similar&#40;d_a&#41;
-
-    @oneapi items&#61;size&#40;d_c&#41; kernel&#40;d_a, d_b, d_c&#41;
-    Array&#40;d_c&#41;
-end
-
-function main&#40;N&#61;256&#41;
-    a &#61; round.&#40;rand&#40;Float32, N&#41; * 100&#41;
-    b &#61; round.&#40;rand&#40;Float32, N&#41; * 100&#41;
-    c &#61; vadd&#40;a, b&#41;
-end
-main&#40;&#41;</code></pre>
-<p>We&#39;ve tweaked this example to make it more suited for profiling: We&#39;ve enclosed the main application in a function so that it gets compiled, and we&#39;ve increased the array sizes to make the GPU work harder.</p>
-<p>There are several ways to profile this application. We&#39;ll start by demonstrating the command-line interface:</p>
-<pre><code class="language-julia">&#36; vtune -collect gpu-offload julia vadd.jl
-
-vtune: Collection started.
-vtune: Collection stopped.
-
-vtune: Using result path &#96;/home/tim/Julia/pkg/oneAPI/r000gh&#39;
-    GPU Time: 0.002s
-EU Array Stalled/Idle: 100.0&#37; of Elapsed time with GPU busy
- | The percentage of time when the EUs were stalled or idle is high, which has a
- | negative impact on compute-bound applications.
-FPU Utilization: 0.0&#37; of Elapsed time with GPU busy
-...</code></pre>
-<p>This will run the application, and collect a number of GPU-related metrics. A summary is shown in the terminal, and a more detailed report will be written to a directory in the current working directory. You can open that report with the graphical user interface, possibly even on a different machine:</p>
-<pre><code class="language-julia">&#36; vtune-gui r000gh</code></pre>
-<h2 id="instrumenting_the_application"><a href="#instrumenting_the_application" class="header-anchor">Instrumenting the application</a></h2>
-<p>The trace we just collected includes the time spent compiling our application, making it difficult to analyze what is happening. To refine the trace, we can instrument our application with Intel&#39;s Instrumentation and Tracing Technology &#40;ITT&#41; APIs:</p>
-<ul>
-<li><p>only start the profiler when we&#39;re running code of interest;</p>
-</li>
-<li><p>add markers to the trace to indicate what is happening.</p>
-</li>
-</ul>
-<p>We can interface with the ITT APIs using the <a href="https://github.com/JuliaPerf/IntelITT.jl">IntelITT.jl</a> package. Let&#39;s update our example:</p>
-<pre><code class="language-julia">using oneAPI, IntelITT
-
-# same as before
-
-function main&#40;N&#61;256&#41;
-    a &#61; round.&#40;rand&#40;Float32, N&#41; * 100&#41;
-    b &#61; round.&#40;rand&#40;Float32, N&#41; * 100&#41;
-    c &#61; IntelITT.@task &quot;vadd&quot; oneAPI.@sync vadd&#40;a, b&#41;
-end
-
-# warm-up
-main&#40;&#41;
-
-# actual profile
-IntelITT.@collect main&#40;&#41;</code></pre>
-<p>Here, the <code>IntelITT.@collect</code> macro will start and stop the collection, so we should launch VTune with the <code>-start-paused</code> option:</p>
-<pre><code class="language-julia">&#36; vtune -collect gpu-offload -start-paused julia vadd.jl</code></pre>
-<p>In the GUI, we can now clearly see a nicely packed stream of API calls, grouped under the <code>vadd</code> task we added. Note that because API calls are asynchronous, i.e. they return immediately before the GPU has executed them, I grouped them under a <code>oneAPI.@sync</code> call so that the task not only captures the time spent on the CPU, but also the time spent on the GPU. This may not be wanted for your application.</p>
-<p><img src="vtune_timeline.png" alt="VTune timeline" /></p>
-<h2 id="kernel_details"><a href="#kernel_details" class="header-anchor">Kernel details</a></h2>
-<p>The timeline view is great for getting an application-level overview of what is happening, but once you&#39;ve isolated a kernel that doesn&#39;t perform as expected, you may want to switch from the GPU Offload to the GPU Compute Hotspots analysis. Here, you get a more detailed view of what&#39;s happening during execution on the GPU, including the memory bandwidth and execution properties:</p>
-<pre><code class="language-julia">&#36; vtune -collect gpu-hotspots -start-paused julia vadd.jl</code></pre>
-<p><img src="vtune_gpu_hotspots.png" alt="VTune timeline" /></p>
-<p>Many of these analysis can be configured to collect more or less data, at the cost of more or less overhead.</p>
-<h2 id="working_remotely"><a href="#working_remotely" class="header-anchor">Working remotely</a></h2>
-<p>In many cases, your local system will not have a GPU, and you will want to profile an application running on a remote system. As shown above, you can use the <code>vtune</code> CLI to create a trace and open that locally using <code>vtune-gui</code>, however there is an easier way: The <code>vtune-backend</code> daemon.</p>
-<p>Start by launching the VTune back-end on the remote system:</p>
-<pre><code class="language-julia">&#36; vtune-backend --enable-server-profiling --web-port 8443 --log-to-console</code></pre>
-<p>If your remote system is directly reachable, you want to add <code>--allow-remote-access --base-url &quot;https://remoteServer:8443&quot;</code>. However, most people will need to set-up an SSH tunnel:</p>
-<pre><code class="language-julia">&#36; ssh -L 8443:localhost:8443 remoteServer</code></pre>
-<p>You can now access the VTune GUI at <code>https://localhost:8443/</code>. Note that the first time you connect, you will need to do so using the one-time URL that is shown in the terminal where you launched the <code>vtune-backend</code> daemon.</p>
-<p>The web interface that <code>vtune-backend</code> provides is identical to the GUI from <code>vtune-gui</code>: Start by creating a new project, and configuring an analysis: Select the local VTune profile server, enter the path to the Julia executable along with arguments and a working directory, and select the GPU Offload analysis type:</p>
-<p><img src="vtune_webui.png" alt="VTune WebUI" /></p>
-<p>To start the analysis, click the big blue play button. If you use <code>IntelITT.@collect</code> to restrict the trace to the code of interest, use the second button with the pause symbol.</p>
-<h2 id="give_it_a_try"><a href="#give_it_a_try" class="header-anchor">Give it a try&#33;</a></h2>
-<p>Hopefully, this guide has shed some light on how to accurately profile oneAPI.jl applications using Intel&#39;s VTune Profiler. It turns out that one package could significantly benefit from some rigorous profiling: oneAPI.jl&#33; Until now, development has focussed on correctness and usability, leaving considerable room for performance enhancements.</p>
-<p>If you have access to an Intel GPU and want to gain experience profiling GPU applications with VTune, we encourage you to get involved&#33; A good starting point would be analyzing some of oneAPI.jl&#39;s array operations like <code>mapreduce</code> or <code>broadcast</code> to identify potential bottlenecks. For more information or any queries, feel free to open an issue on GitHub, or join the discussion on Slack or Discourse. Your help could make a significant difference&#33;</p>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2023-07-19-oneapi_profiling/vtune_gpu_hotspots.png b/previews/PR41/post/2023-07-19-oneapi_profiling/vtune_gpu_hotspots.png
deleted file mode 100644
index 0e5e116..0000000
Binary files a/previews/PR41/post/2023-07-19-oneapi_profiling/vtune_gpu_hotspots.png and /dev/null differ
diff --git a/previews/PR41/post/2023-07-19-oneapi_profiling/vtune_timeline.png b/previews/PR41/post/2023-07-19-oneapi_profiling/vtune_timeline.png
deleted file mode 100644
index 4321dce..0000000
Binary files a/previews/PR41/post/2023-07-19-oneapi_profiling/vtune_timeline.png and /dev/null differ
diff --git a/previews/PR41/post/2023-07-19-oneapi_profiling/vtune_webui.png b/previews/PR41/post/2023-07-19-oneapi_profiling/vtune_webui.png
deleted file mode 100644
index b6793ea..0000000
Binary files a/previews/PR41/post/2023-07-19-oneapi_profiling/vtune_webui.png and /dev/null differ
diff --git a/previews/PR41/post/2023-09-19-cuda_5.0/index.html b/previews/PR41/post/2023-09-19-cuda_5.0/index.html
deleted file mode 100644
index c74f59e..0000000
--- a/previews/PR41/post/2023-09-19-cuda_5.0/index.html
+++ /dev/null
@@ -1,270 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>CUDA.jl 5.0: Integrated profiler and task synchronization changes ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>CUDA.jl 5.0: Integrated profiler and task synchronization changes</h1>
-      <i data-feather=calendar></i>
-<time datetime=2023-9-19>Sep 19, 2023</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>CUDA.jl 5.0 is an major release that adds an integrated profiler to CUDA.jl, and reworks how tasks are synchronized. The release is slightly breaking, as it changes how local toolkits are handled and raises the minimum Julia and CUDA versions.</p>
-<h2 id="integrated_profiler"><a href="#integrated_profiler" class="header-anchor">Integrated profiler</a></h2>
-<p>The most exciting new feature in CUDA.jl 5.0 is <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2024">the new integrated profiler</a>, which is similar to the <code>@profile</code> macro from the Julia standard library. The profiler can be used by simply prefixing any code that uses the CUDA libraries with <code>CUDA.@profile</code>:</p>
-<pre><code class="language-julia-repl">julia&gt; CUDA.@profile CUDA.rand&#40;1&#41;.&#43;1
-Profiler ran for 268.46 µs, capturing 21 events.
-
-Host-side activity: calling CUDA APIs took 230.79 µs &#40;85.97&#37; of the trace&#41;
-┌──────────┬───────────┬───────┬───────────┬───────────┬───────────┬─────────────────────────┐
-│ Time &#40;&#37;&#41; │      Time │ Calls │  Avg time │  Min time │  Max time │ Name                    │
-├──────────┼───────────┼───────┼───────────┼───────────┼───────────┼─────────────────────────┤
-│   76.47&#37; │ 205.28 µs │     1 │ 205.28 µs │ 205.28 µs │ 205.28 µs │ cudaLaunchKernel        │
-│    5.42&#37; │  14.54 µs │     2 │   7.27 µs │   5.01 µs │   9.54 µs │ cuMemAllocFromPoolAsync │
-│    2.93&#37; │   7.87 µs │     1 │   7.87 µs │   7.87 µs │   7.87 µs │ cuLaunchKernel          │
-│    0.36&#37; │ 953.67 ns │     2 │ 476.84 ns │    0.0 ns │ 953.67 ns │ cudaGetLastError        │
-└──────────┴───────────┴───────┴───────────┴───────────┴───────────┴─────────────────────────┘
-
-Device-side activity: GPU was busy for 2.15 µs &#40;0.80&#37; of the trace&#41;
-┌──────────┬───────────┬───────┬───────────┬───────────┬───────────┬──────────────────────────────
-│ Time &#40;&#37;&#41; │      Time │ Calls │  Avg time │  Min time │  Max time │ Name                        ⋯
-├──────────┼───────────┼───────┼───────────┼───────────┼───────────┼──────────────────────────────
-│    0.44&#37; │   1.19 µs │     1 │   1.19 µs │   1.19 µs │   1.19 µs │ _Z13gen_sequencedI17curandS ⋯
-│    0.36&#37; │ 953.67 ns │     1 │ 953.67 ns │ 953.67 ns │ 953.67 ns │ _Z16broadcast_kernel15CuKer ⋯
-└──────────┴───────────┴───────┴───────────┴───────────┴───────────┴──────────────────────────────
-                                                                                  1 column omitted
-1-element CuArray&#123;Float32, 1, CUDA.Mem.DeviceBuffer&#125;:
- 1.7242923</code></pre>
-<p>The output shown above is a summary of what happened during the execution of the code. It is split into two sections: <strong>host-side activity</strong>, i.e., API calls to the CUDA libraries, and the resulting <strong>device-side activity</strong>. As part of each section, the output shows the time spent and the ratio to the total execution time. These ratios are important, and a good tool to quickly assess the performance of your code. For example, in the above output, we see that most of the time is spent on the host calling the CUDA libraries, and only very little time is actually spent computing things on the GPU. This indicates that the GPU is severely underutilized, which can be solved by increasing the problem size.</p>
-<p>Instead of a summary, it is also possible to view a <strong>chronological trace</strong> by passing the <code>trace&#61;true</code> keyword argument:</p>
-<pre><code class="language-julia-repl">julia&gt; CUDA.@profile trace&#61;true CUDA.rand&#40;1&#41;.&#43;1;
-Profiler ran for 262.98 µs, capturing 21 events.
-
-Host-side activity: calling CUDA APIs took 227.21 µs &#40;86.40&#37; of the trace&#41;
-┌────┬───────────┬───────────┬─────────────────────────┬────────────────────────┐
-│ ID │     Start │      Time │                    Name │ Details                │
-├────┼───────────┼───────────┼─────────────────────────┼────────────────────────┤
-│  5 │   6.44 µs │   9.06 µs │ cuMemAllocFromPoolAsync │ 4 bytes, device memory │
-│  7 │  19.31 µs │ 715.26 ns │        cudaGetLastError │ -                      │
-│  8 │  22.41 µs │ 204.09 µs │        cudaLaunchKernel │ -                      │
-│  9 │ 227.21 µs │    0.0 ns │        cudaGetLastError │ -                      │
-│ 14 │  232.7 µs │   3.58 µs │ cuMemAllocFromPoolAsync │ 4 bytes, device memory │
-│ 18 │ 250.34 µs │   7.39 µs │          cuLaunchKernel │ -                      │
-└────┴───────────┴───────────┴─────────────────────────┴────────────────────────┘
-
-Device-side activity: GPU was busy for 2.38 µs &#40;0.91&#37; of the trace&#41;
-┌────┬───────────┬─────────┬─────────┬────────┬──────┬────────────────────────────────────────────
-│ ID │     Start │    Time │ Threads │ Blocks │ Regs │ Name                                      ⋯
-├────┼───────────┼─────────┼─────────┼────────┼──────┼────────────────────────────────────────────
-│  8 │ 225.31 µs │ 1.19 µs │      64 │     64 │   38 │ _Z13gen_sequencedI17curandStateXORWOWfiXa ⋯
-│ 18 │ 257.73 µs │ 1.19 µs │       1 │      1 │   18 │ _Z16broadcast_kernel15CuKernelContext13Cu ⋯
-└────┴───────────┴─────────┴─────────┴────────┴──────┴────────────────────────────────────────────
-                                                                                  1 column omitted</code></pre>
-<p>Here, we can see a list of events that the profiler captured. Each event has a unique ID, which can be used to corelate host-side and device-side events. For example, we can see that event 8 on the host is a call to <code>cudaLaunchKernel</code>, which corresponds to to the execution of a CURAND kernel on the device.</p>
-<p>The integrated profiler is a great tool to quickly assess the performance of your GPU application, identify bottlenecks, and find opportunities for optimization. For complex applications, however, it is still recommended to use NVIDIA&#39;s NSight Systems or Compute profilers, which provide a more detailed, graphical view of what is happening on the GPU.</p>
-<h2 id="synchronization_on_worker_threads"><a href="#synchronization_on_worker_threads" class="header-anchor">Synchronization on worker threads</a></h2>
-<p>Another noteworthy change affects how tasks are synchronized. To enable concurrent execution, i.e., to make it possible for other Julia tasks to execute while waiting for the GPU to finish, CUDA.jl used to rely on so-called stream callbacks. These callbacks were a significant source of latency, at least 25us per invocation but sometimes <em>much</em> longer, and have also been slated for deprecation and eventual removal from the CUDA toolkit.</p>
-<p>Instead, on Julia 1.9 and later, CUDA.jl <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2025">now uses</a> worker threads to wait for GPU operations to finish. This mechanism is significantly faster, taking around 5us per invocation, but more importantly offers a much more reliable and predictable latency. You can observe this mechanism using the integrated profiler:</p>
-<pre><code class="language-julia-repl">julia&gt; a &#61; CUDA.rand&#40;1024, 1024, 1024&#41;
-julia&gt; CUDA.@profile trace&#61;true CUDA.@sync a .&#43; a
-Profiler ran for 12.29 ms, capturing 527 events.
-
-Host-side activity: calling CUDA APIs took 11.75 ms &#40;95.64&#37; of the trace&#41;
-┌─────┬───────────┬───────────┬────────┬─────────────────────────┐
-│  ID │     Start │      Time │ Thread │                    Name │
-├─────┼───────────┼───────────┼────────┼─────────────────────────┤
-│   5 │   6.91 µs │  13.59 µs │      1 │ cuMemAllocFromPoolAsync │
-│   9 │  36.72 µs │ 199.56 µs │      1 │          cuLaunchKernel │
-│ 525 │ 510.69 µs │  11.75 ms │      2 │     cuStreamSynchronize │
-└─────┴───────────┴───────────┴────────┴─────────────────────────┘</code></pre>
-<p>For some users, this may still be too slow, so we have added two mechanisms that disable nonblocking synchronization and simply block the calling thread until the GPU operation finishes. The first is a global setting, which can be enabled by setting the <code>nonblocking_synchronization</code> preference to <code>false</code>, which can be done using Preferences.jl. <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2060">The second</a> is a fine-grained flag to pass to synchronization functions: <code>synchronize&#40;x; blocking&#61;true&#41;</code>, <code>CUDA.@sync blocking&#61;true
-...</code>, etc. Both these mechanisms should <em>not</em> be used widely, and are only intended for use in latency-critical code, e.g., when benchmarking or profiling.</p>
-<h2 id="local_toolkit_discovery"><a href="#local_toolkit_discovery" class="header-anchor">Local toolkit discovery</a></h2>
-<p>One of the breaking changes involves <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2058">how local toolkits are discovered</a>, when opting out of the use of artifacts. Previously, this could be enabled by calling <code>CUDA.set_runtime_version&#33;&#40;&quot;local&quot;&#41;</code>, which generated a <code>version &#61; &quot;local&quot;</code> preference. We are now changing this into two separate preferences, <code>version</code> and <code>local</code>, where the <code>version</code> preference overrides the version of the CUDA toolkit, and the <code>local</code> preference independently indicates whether to use a local CUDA toolkit or not.</p>
-<p>Concretely, this means that you will now need to call <code>CUDA.set_runtime_version&#33;&#40;local_toolkit&#61;true&#41;</code> to enable the use of a local toolkit. The toolkit version will be auto-detected, but can be overridden by also passing a version: <code>CUDA.set_runtime_version&#33;&#40;version; local_toolkit&#61;true&#41;</code>. This may be necessary when CUDA is not available during precompilation, e.g., on the log-in node of a cluster, or when building a container image.</p>
-<h2 id="raised_minimum_requirements"><a href="#raised_minimum_requirements" class="header-anchor">Raised minimum requirements</a></h2>
-<p>Finally, CUDA.jl 5.0 raises the minimum Julia and CUDA versions. The minimum Julia version is now 1.8, which should be enforced by the Julia package manager. The minimum CUDA toolkit version is now 11.4, but this cannot be enforced by the package manager. As a result, if you need to use an older version of the CUDA toolkit, you will need to pin CUDA.jl to v4.4 or below. <a href="https://github.com/JuliaGPU/CUDA.jl/blob/master/README.md">The README</a> will maintain a table of supported CUDA toolkit versions.</p>
-<p>Most users will not be affected by this change: If you use the artifact-provided CUDA toolkit, you will automatically get the latest version supported by your CUDA driver.</p>
-<h2 id="other_changes"><a href="#other_changes" class="header-anchor">Other changes</a></h2>
-<ul>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/2034">Support for CUDA 12.2</a>;</p>
-</li>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/2040">Memory limits</a> are now enforced by CUDA, resulting in better performance;</p>
-</li>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/1946">Support for Julia 1.10</a> &#40;with help from <a href="https://github.com/dkarrasch">@dkarrasch</a>&#41;;</p>
-</li>
-<li><p>Support for batched <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1975"><code>gemm</code></a>, <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1981"><code>gemv</code></a> and <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2063"><code>svd</code></a> &#40;by <a href="https://github.com/lpawela">@lpawela</a> and <a href="https://github.com/nikopj">@nikopj</a>.</p>
-</li>
-</ul>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/2023-11-07-cuda_5.1/index.html b/previews/PR41/post/2023-11-07-cuda_5.1/index.html
deleted file mode 100644
index cb5c2c2..0000000
--- a/previews/PR41/post/2023-11-07-cuda_5.1/index.html
+++ /dev/null
@@ -1,302 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-   <link rel="stylesheet" href="/previews/PR41/libs/highlight/github.min.css">
- 
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>CUDA.jl 5.1: Unified memory and cooperative groups ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-      <!-- make sure to generate a Hugo-era URI at the root, redirecting to /post/.... -->
-      
-
-      <h1>CUDA.jl 5.1: Unified memory and cooperative groups</h1>
-      <i data-feather=calendar></i>
-<time datetime=2023-11-7>Nov 7, 2023</time><br>
-<i data-feather=edit-2></i>
-Tim Besard
-
-
-      <br><br>
-    
-<!-- Content appended here -->
-
-<p>CUDA.jl 5.1 greatly improves the support of two important parts of the CUDA toolkit: unified memory, for accessing GPU memory on the CPU and vice-versa, and cooperative groups which offer a more modular approach to kernel programming.</p>
-<h1 id="cudajl_51_unified_memory_and_cooperative_groups"><a href="#cudajl_51_unified_memory_and_cooperative_groups" class="header-anchor">CUDA.jl 5.1: Unified memory and cooperative groups</a></h1>
-<p>CUDA.jl 5.1 greatly improves the support of two important parts of the CUDA toolkit: unified memory, for accessing GPU memory on the CPU and vice-versa, and cooperative groups which offer a more modular approach to kernel programming.</p>
-<h2 id="unified_memory"><a href="#unified_memory" class="header-anchor">Unified memory</a></h2>
-<p>Unified memory is a feature of CUDA that allows the programmer to <strong>access memory from both the CPU and GPU</strong>, relying on the driver to move data between the two. This can be useful for a variety of reasons: to avoid explicit memory copies, to use more memory than the GPU has available, or to be able to incrementally port code to the GPU and still have parts of the application run on the CPU.</p>
-<p>CUDA.jl did already support unified memory, but only for the most basic use cases. With CUDA.jl 5.1, it is now easier to allocate unified memory, and more convenient to use that memory from the CPU:</p>
-<pre><code class="language-julia-repl">julia&gt; gpu &#61; cu&#40;&#91;1., 2.&#93;; unified&#61;true&#41;
-2-element CuArray&#123;Float32, 1, CUDA.Mem.UnifiedBuffer&#125;:
- 1.0
- 2.0
-
-julia&gt; # accessing GPU memory from the CPU
-       gpu&#91;1&#93; &#61; 3;
-
-julia&gt; gpu
-2-element CuArray&#123;Float32, 1, CUDA.Mem.UnifiedBuffer&#125;:
- 3.0
- 2.0</code></pre>
-<p>Accessing GPU memory like this used to throw an error, but with CUDA.jl 5.1 it is <strong>safe and efficient to perform scalar iteration on <code>CuArray</code>s backed by unified memory</strong>. This greatly simplifies porting applications to the GPU, as it no longer is a problem when code uses <code>AbstractArray</code> fallbacks from Base that process element by element.</p>
-<p>In addition, CUDA.jl 5.1 also makes it <strong>easier to convert <code>CuArray</code>s to <code>Array</code> objects</strong>. This is important when wanting to use high-performance CPU libraries like BLAS or LAPACK which do not support <code>CuArray</code>s:</p>
-<pre><code class="language-julia-repl">julia&gt; cpu &#61; unsafe_wrap&#40;Array, gpu&#41;
-2-element Vector&#123;Float32&#125;:
- 3.0
- 2.0
-
-julia&gt; LinearAlgebra.BLAS.scal&#33;&#40;2f0, cpu&#41;;
-
-julia&gt; gpu
-2-element CuArray&#123;Float32, 1, CUDA.Mem.UnifiedBuffer&#125;:
- 6.0
- 4.0</code></pre>
-<p>The reverse is also possible: CPU-based <code>Array</code>s can now trivially be converted to <code>CuArray</code> objects for use on the GPU, <strong>without the need to explicitly allocate unified memory</strong>. This further simplifies memory management, as it makes it possible to use the GPU inside of an existing application without having to copy data into a <code>CuArray</code>:</p>
-<pre><code class="language-julia-repl">julia&gt; gpu &#61; unsafe_wrap&#40;CuArray, cpu&#41;
-2-element CuArray&#123;Int64, 1, CUDA.Mem.UnifiedBuffer&#125;:
- 1
- 2
-
-julia&gt; CUDA.@sync gpu .&#43;&#61; 1;
-
-julia&gt; cpu
-2-element Vector&#123;Int64&#125;:
- 2
- 3</code></pre>
-<p>Note that the above methods are prefixed <code>unsafe</code> because of how they require <strong>careful management of object lifetimes</strong>: When creating an <code>Array</code> from a <code>CuArray</code>, the <code>CuArray</code> must be kept alive for as long as the <code>Array</code> is used, and vice-versa when creating a <code>CuArray</code> from an <code>Array</code>. Explicit synchronization &#40;i.e. waiting for the GPU to finish computing&#41; is also required, as CUDA.jl cannot synchronize automatically when accessing GPU memory through a CPU pointer.</p>
-<p>For now, CUDA.jl still defaults to device memory for unspecified allocations. This can be changed using the <code>default_memory</code> <a href="https://github.com/JuliaPackaging/Preferences.jl">preference</a> of the CUDA.jl module, which can be set to either <code>&quot;device&quot;</code>, <code>&quot;unified&quot;</code> or <code>&quot;host&quot;</code>. When these changes have been sufficiently tested, and the remaining rough edges have been smoothed out, we may consider switching the default allocator.</p>
-<h2 id="cooperative_groups"><a href="#cooperative_groups" class="header-anchor">Cooperative groups</a></h2>
-<p>Another major improvement in CUDA.jl 5.1 are the greatly expanded wrappers for the CUDA cooperative groups API. Cooperative groups are a low-level feature of CUDA that make it possible to <strong>write kernels that are more flexible than the traditional approach</strong> of differentiating computations based on thread and block indices. Instead, cooperative groups allow the programmer to use objects representing groups of threads, pass those around, and differentiate computations based on queries on those objects.</p>
-<p>For example, let&#39;s port the example from the <a href="https://developer.nvidia.com/blog/cooperative-groups/">introductory NVIDIA blogpost post</a>, which provides a function to compute the sum of an array in parallel:</p>
-<pre><code class="language-julia">function reduce_sum&#40;group, temp, val&#41;
-    lane &#61; CG.thread_rank&#40;group&#41;
-
-    # Each iteration halves the number of active threads
-    # Each thread adds its partial sum&#91;i&#93; to sum&#91;lane&#43;i&#93;
-    i &#61; CG.num_threads&#40;group&#41; ÷ 2
-    while i &gt; 0
-        temp&#91;lane&#93; &#61; val
-        CG.sync&#40;group&#41;
-        if lane &lt;&#61; i
-            val &#43;&#61; temp&#91;lane &#43; i&#93;
-        end
-        CG.sync&#40;group&#41;
-        i ÷&#61; 2
-    end
-
-    return val  # note: only thread 1 will return full sum
-end</code></pre>
-<p>When the threads of a group call this function, they cooperatively compute the sum of the values passed by each thread in the group. For example, let&#39;s write a kernel that calls this function using a group representing the current thread block:</p>
-<pre><code class="language-julia">function sum_kernel_block&#40;sum::AbstractArray&#123;T&#125;,
-                          input::AbstractArray&#123;T&#125;&#41; where T
-    # have each thread compute a partial sum
-    my_sum &#61; thread_sum&#40;input&#41;
-
-    # perform a cooperative summation
-    temp &#61; CuStaticSharedArray&#40;T, 256&#41;
-    g &#61; CG.this_thread_block&#40;&#41;
-    block_sum &#61; reduce_sum&#40;g, temp, my_sum&#41;
-
-    # combine the block sums
-    if CG.thread_rank&#40;g&#41; &#61;&#61; 1
-        CUDA.@atomic sum&#91;&#93; &#43;&#61; block_sum
-    end
-
-    return
-end
-
-function thread_sum&#40;input::AbstractArray&#123;T&#125;&#41; where T
-    sum &#61; zero&#40;T&#41;
-
-    i &#61; &#40;blockIdx&#40;&#41;.x-1&#41; * blockDim&#40;&#41;.x &#43; threadIdx&#40;&#41;.x
-    stride &#61; blockDim&#40;&#41;.x * gridDim&#40;&#41;.x
-    while i &lt;&#61; length&#40;input&#41;
-        sum &#43;&#61; input&#91;i&#93;
-        i &#43;&#61; stride
-    end
-
-    return sum
-end
-
-n &#61; 1&lt;&lt;24
-threads &#61; 256
-blocks &#61; cld&#40;n, threads&#41;
-
-data &#61; CUDA.rand&#40;n&#41;
-sum &#61; CUDA.fill&#40;zero&#40;eltype&#40;data&#41;&#41;, 1&#41;
-@cuda threads&#61;threads blocks&#61;blocks sum_kernel_block&#40;sum, data&#41;</code></pre>
-<p>This style of programming makes it possible to write kernels that are safer and more modular than traditional kernels. Some CUDA features also require the use of cooperative groups, for example, asynchronous memory copies between global and shared memory are done using the <code>CG.memcpy_async</code> function.</p>
-<p>With CUDA.jl 5.1, it is now possible to use a large part of these APIs from Julia. Support has been added for implicit groups &#40;with the exception of cluster groups and the deprecated multi-grid groups&#41;, all relevant queries on these groups, as well as the many important collective functions, such as <code>shuffle</code>, <code>vote</code>, and <code>memcpy_async</code>. Support for explicit groups is still missing, as are collectives like <code>reduce</code> and <code>invoke</code>. For more information, refer to <a href="https://cuda.juliagpu.org/dev/development/kernel/#Cooperative-groups">the CUDA.jl documentation</a>.</p>
-<h2 id="other_updates"><a href="#other_updates" class="header-anchor">Other updates</a></h2>
-<p>Apart from these two major features, CUDA.jl 5.1 also includes a number of smaller fixes and improvements:</p>
-<ul>
-<li><p>Support for CUDA 12.3</p>
-</li>
-<li><p>Performance improvements related to memory copies, which regressed in CUDA 5.0</p>
-</li>
-<li><p>Improvements to the native profiler &#40;<code>CUDA.@profiler</code>&#41;, now also showing local memory usage, supporting more NVTX metadata, and with better support for Pluto.jl and Jupyter</p>
-</li>
-<li><p>Many CUSOLVER and CUSPARSE improvements by <a href="https://github.com/amontoison">@amontoison</a></p>
-</li>
-</ul>
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-        <script src="/previews/PR41/libs/highlight/highlight.min.js"></script>
-<script>hljs.initHighlightingOnLoad();hljs.configure({tabReplace: '    '});</script>
-
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/index.html b/previews/PR41/post/index.html
deleted file mode 100644
index 40c5ac4..0000000
--- a/previews/PR41/post/index.html
+++ /dev/null
@@ -1,413 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-  
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>Blog ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-<!-- Content appended here -->
-
-
-<h1>
-  Blog
-  <a href=/previews/PR41/post/index.xml><i data-feather=rss></i></a>
-</h1>
-
-<p>
-  <a class=font-125 href="/previews/PR41/post/2023-11-07-cuda_5.1/">
-    CUDA.jl 5.1: Unified memory and cooperative groups
-  </a><span>&nbsp;&#8599;</span>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2023-11-7>Nov 7, 2023</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2023-09-19-cuda_5.0/">
-    CUDA.jl 5.0: Integrated profiler and task synchronization changes
-  </a><span>&nbsp;&#8599;</span>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2023-9-19>Sep 19, 2023</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2023-07-19-oneapi_profiling/">
-    Profiling oneAPI.jl applications with VTune
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2023-7-19>Jul 19, 2023</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2023-03-03-metal_0.2/">
-    Metal.jl 0.2: Metal Performance Shaders
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2023-3-3>Mar 3, 2023</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2023-02-08-oneapi_1.0/">
-    oneAPI.jl 1.0: oneMKL, Intel Arc and Julia 1.9
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2023-2-8>Feb 8, 2023</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2023-02-01-cuda_4.0/">
-    CUDA.jl 4.0
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2023-2-1>Feb 1, 2023</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2022-06-24-metal/">
-    Technical preview: Programming Apple M1 GPUs in Julia with Metal.jl
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2022-6-24>Jun 24, 2022</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2022-04-06-oneapi_update/">
-    oneAPI.jl status update
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2022-4-6>Apr 6, 2022</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2022-01-28-cuda_3.5_3.8/">
-    CUDA.jl 3.5-3.8
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2022-1-28>Jan 28, 2022</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2021-08-13-cuda_3.4/">
-    CUDA.jl 3.4
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2021-8-13>Aug 13, 2021</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2021-06-10-cuda_3.3/">
-    CUDA.jl 3.3
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2021-6-10>Jun 10, 2021</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2021-04-09-cuda_3.0/">
-    CUDA.jl 3.0
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2021-4-9>Apr 9, 2021</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2021-01-08-cuda_2.4_2.5/">
-    CUDA.jl 2.4 and 2.5
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2021-1-8>Jan 8, 2021</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2020-11-05-oneapi_0.1/">
-    Introducing: oneAPI.jl
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2020-11-5>Nov 5, 2020</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2020-10-30-cuda_2.1/">
-    CUDA.jl 2.1
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2020-10-30>Oct 30, 2020</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2020-10-02-cuda_2.0/">
-    CUDA.jl 2.0
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2020-10-2>Oct 2, 2020</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2020-09-28-gemmkernels/">
-    Paper: Flexible Performant GEMM Kernels on GPUs
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2020-9-28>Sep 28, 2020</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2020-07-18-cuda_1.3/">
-    CUDA.jl 1.3 - Multi-device programming
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2020-7-18>Jul 18, 2020</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2020-07-07-cuda_1.1/">
-    CUDA.jl 1.1
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2020-7-7>Jul 7, 2020</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2020-03-25-cudanative_3.0-cuarrays_2.0/">
-    CUDAnative.jl 3.0 and CuArrays.jl 2.0
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2020-3-25>Mar 25, 2020</time><br>
-</p>
-<p>
-  <a class=font-125 href="https://www.hpcwire.com/2020/01/14/julia-programmings-dramatic-rise-in-hpc-and-elsewhere/">
-    Julia's Dramatic Rise in HPC and Elsewhere
-  </a><span>&nbsp;&#8599;</span>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2020-1-14>Jan 14, 2020</time><br>
-</p>
-<p>
-  <a class=font-125 href="https://kshyatt.github.io/post/itensorsgpu/">
-    Accelerating Tensor Computations in Julia with the GPU
-  </a><span>&nbsp;&#8599;</span>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2020-1-5>Jan 5, 2020</time><br>
-</p>
-<p>
-  <a class=font-125 href="/previews/PR41/post/2019-12-12-new_site/">
-    New website for JuliaGPU
-  </a>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2019-12-12>Dec 12, 2019</time><br>
-</p>
-<p>
-  <a class=font-125 href="https://juliacomputing.com/blog/2019/12/03/nvidia-ngc-arm.html">
-    Julia Computing Brings Support for NVIDIA GPU Computing on Arm Powered Servers
-  </a><span>&nbsp;&#8599;</span>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2019-12-3>Dec 3, 2019</time><br>
-</p>
-<p>
-  <a class=font-125 href="https://juliadiffeq.org/2019/12/03/MultiGPU.html">
-    DifferentialEquations.jl v6.9.0 released with automatic Multi-GPU support
-  </a><span>&nbsp;&#8599;</span>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2019-12-3>Dec 3, 2019</time><br>
-</p>
-<p>
-  <a class=font-125 href="https://nextjournal.com/sdanisch/julia-gpu-programming">
-    An Introduction to GPU Programming in Julia
-  </a><span>&nbsp;&#8599;</span>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2019-10-17>Oct 17, 2019</time><br>
-</p>
-<p>
-  <a class=font-125 href="https://my.nps.edu/stories-archive/-/asset_publisher/A2LdkKOlw8D1/content/nps-researchers-partner-on-next-generation-climate-model?inheritRedirect=false">
-    Next Generation Climate Models leverage Julia and GPUs
-  </a><span>&nbsp;&#8599;</span>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2019-3-4>Mar 4, 2019</time><br>
-</p>
-<p>
-  <a class=font-125 href="http://paocweb.mit.edu/about/paoc-spotlights/new-climate-model-to-be-built-from-the-ground-up">
-    New Climate Model to be Built from the Ground Up
-  </a><span>&nbsp;&#8599;</span>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2018-12-12>Dec 12, 2018</time><br>
-</p>
-<p>
-  <a class=font-125 href="https://www.stochasticlifestyle.com/solving-systems-stochastic-pdes-using-gpus-julia/">
-    Solving Systems of Stochastic PDEs and using GPUs in Julia
-  </a><span>&nbsp;&#8599;</span>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2017-12-11>Dec 11, 2017</time><br>
-</p>
-<p>
-  <a class=font-125 href="https://devblogs.nvidia.com/gpu-computing-julia-programming-language/">
-    High-Performance GPU Computing in the Julia Programming Language
-  </a><span>&nbsp;&#8599;</span>
-  <br>
-  <i data-feather=calendar></i>
-  <time datetime=2017-10-25>Oct 25, 2017</time><br>
-</p>
-
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/post/index.xml b/previews/PR41/post/index.xml
deleted file mode 100644
index eb53497..0000000
--- a/previews/PR41/post/index.xml
+++ /dev/null
@@ -1,1826 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-
-<rss version="2.0"
-  xmlns:content="http://purl.org/rss/1.0/modules/content/"
-  xmlns:dc="http://purl.org/dc/elements/1.1/"
-  xmlns:media="http://search.yahoo.com/mrss/"
-  xmlns:atom="http://www.w3.org/2005/Atom"
-  xmlns:georss="http://www.georss.org/georss">
-
-  <channel>
-    <title><![CDATA[JuliaGPU]]></title>
-    <link>https://juliagpu.org</link>
-    <description><![CDATA[High-performance GPU programming in a high-level language.]]></description>
-    <generator>Franklin.jl -- https://github.com/tlienart/Franklin.jl</generator>
-    <atom:link
-      href="https://juliagpu.org/post/index.xml"
-      rel="self"
-      type="application/rss+xml" />
-
-
-<item>
-  <title><![CDATA[CUDA.jl 5.1: Unified memory and cooperative groups]]></title>
-  <link>https://juliagpu.org/post/2023-11-07-cuda_5.1/index.html</link>
-  <guid>https://juliagpu.org/2023-11-07-cuda_5.1/</guid>
-  <description><![CDATA[CUDA.jl 5.1 greatly improves the support of two important parts of the CUDA toolkit: unified memory, for accessing GPU memory on the CPU and vice-versa, and cooperative groups which offer a more modular approach to kernel programming.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>CUDA.jl 5.1 greatly improves the support of two important parts of the CUDA toolkit: unified memory, for accessing GPU memory on the CPU and vice-versa, and cooperative groups which offer a more modular approach to kernel programming.</p>
-<h1 id="cudajl_51_unified_memory_and_cooperative_groups">CUDA.jl 5.1: Unified memory and cooperative groups</h1>
-<p>CUDA.jl 5.1 greatly improves the support of two important parts of the CUDA toolkit: unified memory, for accessing GPU memory on the CPU and vice-versa, and cooperative groups which offer a more modular approach to kernel programming.</p>
-<h2 id="unified_memory">Unified memory</h2>
-<p>Unified memory is a feature of CUDA that allows the programmer to <strong>access memory from both the CPU and GPU</strong>, relying on the driver to move data between the two. This can be useful for a variety of reasons: to avoid explicit memory copies, to use more memory than the GPU has available, or to be able to incrementally port code to the GPU and still have parts of the application run on the CPU.</p>
-<p>CUDA.jl did already support unified memory, but only for the most basic use cases. With CUDA.jl 5.1, it is now easier to allocate unified memory, and more convenient to use that memory from the CPU:</p>
-<pre><code class="language-julia-repl">julia&gt; gpu &#61; cu&#40;&#91;1., 2.&#93;; unified&#61;true&#41;
-2-element CuArray&#123;Float32, 1, CUDA.Mem.UnifiedBuffer&#125;:
- 1.0
- 2.0julia&gt; # accessing GPU memory from the CPU
-       gpu&#91;1&#93; &#61; 3;julia&gt; gpu
-2-element CuArray&#123;Float32, 1, CUDA.Mem.UnifiedBuffer&#125;:
- 3.0
- 2.0</code></pre>
-<p>Accessing GPU memory like this used to throw an error, but with CUDA.jl 5.1 it is <strong>safe and efficient to perform scalar iteration on <code>CuArray</code>s backed by unified memory</strong>. This greatly simplifies porting applications to the GPU, as it no longer is a problem when code uses <code>AbstractArray</code> fallbacks from Base that process element by element.</p>
-<p>In addition, CUDA.jl 5.1 also makes it <strong>easier to convert <code>CuArray</code>s to <code>Array</code> objects</strong>. This is important when wanting to use high-performance CPU libraries like BLAS or LAPACK which do not support <code>CuArray</code>s:</p>
-<pre><code class="language-julia-repl">julia&gt; cpu &#61; unsafe_wrap&#40;Array, gpu&#41;
-2-element Vector&#123;Float32&#125;:
- 3.0
- 2.0julia&gt; LinearAlgebra.BLAS.scal&#33;&#40;2f0, cpu&#41;;julia&gt; gpu
-2-element CuArray&#123;Float32, 1, CUDA.Mem.UnifiedBuffer&#125;:
- 6.0
- 4.0</code></pre>
-<p>The reverse is also possible: CPU-based <code>Array</code>s can now trivially be converted to <code>CuArray</code> objects for use on the GPU, <strong>without the need to explicitly allocate unified memory</strong>. This further simplifies memory management, as it makes it possible to use the GPU inside of an existing application without having to copy data into a <code>CuArray</code>:</p>
-<pre><code class="language-julia-repl">julia&gt; gpu &#61; unsafe_wrap&#40;CuArray, cpu&#41;
-2-element CuArray&#123;Int64, 1, CUDA.Mem.UnifiedBuffer&#125;:
- 1
- 2julia&gt; CUDA.@sync gpu .&#43;&#61; 1;julia&gt; cpu
-2-element Vector&#123;Int64&#125;:
- 2
- 3</code></pre>
-<p>Note that the above methods are prefixed <code>unsafe</code> because of how they require <strong>careful management of object lifetimes</strong>: When creating an <code>Array</code> from a <code>CuArray</code>, the <code>CuArray</code> must be kept alive for as long as the <code>Array</code> is used, and vice-versa when creating a <code>CuArray</code> from an <code>Array</code>. Explicit synchronization &#40;i.e. waiting for the GPU to finish computing&#41; is also required, as CUDA.jl cannot synchronize automatically when accessing GPU memory through a CPU pointer.</p>
-<p>For now, CUDA.jl still defaults to device memory for unspecified allocations. This can be changed using the <code>default_memory</code> <a href="https://github.com/JuliaPackaging/Preferences.jl">preference</a> of the CUDA.jl module, which can be set to either <code>&quot;device&quot;</code>, <code>&quot;unified&quot;</code> or <code>&quot;host&quot;</code>. When these changes have been sufficiently tested, and the remaining rough edges have been smoothed out, we may consider switching the default allocator.</p>
-<h2 id="cooperative_groups">Cooperative groups</h2>
-<p>Another major improvement in CUDA.jl 5.1 are the greatly expanded wrappers for the CUDA cooperative groups API. Cooperative groups are a low-level feature of CUDA that make it possible to <strong>write kernels that are more flexible than the traditional approach</strong> of differentiating computations based on thread and block indices. Instead, cooperative groups allow the programmer to use objects representing groups of threads, pass those around, and differentiate computations based on queries on those objects.</p>
-<p>For example, let&#39;s port the example from the <a href="https://developer.nvidia.com/blog/cooperative-groups/">introductory NVIDIA blogpost post</a>, which provides a function to compute the sum of an array in parallel:</p>
-<pre><code class="language-julia">function reduce_sum&#40;group, temp, val&#41;
-    lane &#61; CG.thread_rank&#40;group&#41;    # Each iteration halves the number of active threads
-    # Each thread adds its partial sum&#91;i&#93; to sum&#91;lane&#43;i&#93;
-    i &#61; CG.num_threads&#40;group&#41; ÷ 2
-    while i &gt; 0
-        temp&#91;lane&#93; &#61; val
-        CG.sync&#40;group&#41;
-        if lane &lt;&#61; i
-            val &#43;&#61; temp&#91;lane &#43; i&#93;
-        end
-        CG.sync&#40;group&#41;
-        i ÷&#61; 2
-    end    return val  # note: only thread 1 will return full sum
-end</code></pre>
-<p>When the threads of a group call this function, they cooperatively compute the sum of the values passed by each thread in the group. For example, let&#39;s write a kernel that calls this function using a group representing the current thread block:</p>
-<pre><code class="language-julia">function sum_kernel_block&#40;sum::AbstractArray&#123;T&#125;,
-                          input::AbstractArray&#123;T&#125;&#41; where T
-    # have each thread compute a partial sum
-    my_sum &#61; thread_sum&#40;input&#41;    # perform a cooperative summation
-    temp &#61; CuStaticSharedArray&#40;T, 256&#41;
-    g &#61; CG.this_thread_block&#40;&#41;
-    block_sum &#61; reduce_sum&#40;g, temp, my_sum&#41;    # combine the block sums
-    if CG.thread_rank&#40;g&#41; &#61;&#61; 1
-        CUDA.@atomic sum&#91;&#93; &#43;&#61; block_sum
-    end    return
-endfunction thread_sum&#40;input::AbstractArray&#123;T&#125;&#41; where T
-    sum &#61; zero&#40;T&#41;    i &#61; &#40;blockIdx&#40;&#41;.x-1&#41; * blockDim&#40;&#41;.x &#43; threadIdx&#40;&#41;.x
-    stride &#61; blockDim&#40;&#41;.x * gridDim&#40;&#41;.x
-    while i &lt;&#61; length&#40;input&#41;
-        sum &#43;&#61; input&#91;i&#93;
-        i &#43;&#61; stride
-    end    return sum
-endn &#61; 1&lt;&lt;24
-threads &#61; 256
-blocks &#61; cld&#40;n, threads&#41;data &#61; CUDA.rand&#40;n&#41;
-sum &#61; CUDA.fill&#40;zero&#40;eltype&#40;data&#41;&#41;, 1&#41;
-@cuda threads&#61;threads blocks&#61;blocks sum_kernel_block&#40;sum, data&#41;</code></pre>
-<p>This style of programming makes it possible to write kernels that are safer and more modular than traditional kernels. Some CUDA features also require the use of cooperative groups, for example, asynchronous memory copies between global and shared memory are done using the <code>CG.memcpy_async</code> function.</p>
-<p>With CUDA.jl 5.1, it is now possible to use a large part of these APIs from Julia. Support has been added for implicit groups &#40;with the exception of cluster groups and the deprecated multi-grid groups&#41;, all relevant queries on these groups, as well as the many important collective functions, such as <code>shuffle</code>, <code>vote</code>, and <code>memcpy_async</code>. Support for explicit groups is still missing, as are collectives like <code>reduce</code> and <code>invoke</code>. For more information, refer to <a href="https://cuda.juliagpu.org/dev/development/kernel/#Cooperative-groups">the CUDA.jl documentation</a>.</p>
-<h2 id="other_updates">Other updates</h2>
-<p>Apart from these two major features, CUDA.jl 5.1 also includes a number of smaller fixes and improvements:</p>
-<ul>
-<li><p>Support for CUDA 12.3</p>
-</li>
-<li><p>Performance improvements related to memory copies, which regressed in CUDA 5.0</p>
-</li>
-<li><p>Improvements to the native profiler &#40;<code>CUDA.@profiler</code>&#41;, now also showing local memory usage, supporting more NVTX metadata, and with better support for Pluto.jl and Jupyter</p>
-</li>
-<li><p>Many CUSOLVER and CUSPARSE improvements by <a href="https://github.com/amontoison">@amontoison</a></p>
-</li>
-</ul>
-]]></content:encoded>
-    
-  <pubDate>Tue, 07 Nov 2023 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[CUDA.jl 5.0: Integrated profiler and task synchronization changes]]></title>
-  <link>https://juliagpu.org/post/2023-09-19-cuda_5.0/index.html</link>
-  <guid>https://juliagpu.org/2023-09-19-cuda_5.0/</guid>
-  <description><![CDATA[CUDA.jl 5.0 is an major release that adds an integrated profiler to CUDA.jl, and reworks how tasks are synchronized. The release is slightly breaking, as it changes how local toolkits are handled and raises the minimum Julia and CUDA versions.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>CUDA.jl 5.0 is an major release that adds an integrated profiler to CUDA.jl, and reworks how tasks are synchronized. The release is slightly breaking, as it changes how local toolkits are handled and raises the minimum Julia and CUDA versions.</p>
-<h2 id="integrated_profiler">Integrated profiler</h2>
-<p>The most exciting new feature in CUDA.jl 5.0 is <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2024">the new integrated profiler</a>, which is similar to the <code>@profile</code> macro from the Julia standard library. The profiler can be used by simply prefixing any code that uses the CUDA libraries with <code>CUDA.@profile</code>:</p>
-<pre><code class="language-julia-repl">julia&gt; CUDA.@profile CUDA.rand&#40;1&#41;.&#43;1
-Profiler ran for 268.46 µs, capturing 21 events.Host-side activity: calling CUDA APIs took 230.79 µs &#40;85.97&#37; of the trace&#41;
-┌──────────┬───────────┬───────┬───────────┬───────────┬───────────┬─────────────────────────┐
-│ Time &#40;&#37;&#41; │      Time │ Calls │  Avg time │  Min time │  Max time │ Name                    │
-├──────────┼───────────┼───────┼───────────┼───────────┼───────────┼─────────────────────────┤
-│   76.47&#37; │ 205.28 µs │     1 │ 205.28 µs │ 205.28 µs │ 205.28 µs │ cudaLaunchKernel        │
-│    5.42&#37; │  14.54 µs │     2 │   7.27 µs │   5.01 µs │   9.54 µs │ cuMemAllocFromPoolAsync │
-│    2.93&#37; │   7.87 µs │     1 │   7.87 µs │   7.87 µs │   7.87 µs │ cuLaunchKernel          │
-│    0.36&#37; │ 953.67 ns │     2 │ 476.84 ns │    0.0 ns │ 953.67 ns │ cudaGetLastError        │
-└──────────┴───────────┴───────┴───────────┴───────────┴───────────┴─────────────────────────┘Device-side activity: GPU was busy for 2.15 µs &#40;0.80&#37; of the trace&#41;
-┌──────────┬───────────┬───────┬───────────┬───────────┬───────────┬──────────────────────────────
-│ Time &#40;&#37;&#41; │      Time │ Calls │  Avg time │  Min time │  Max time │ Name                        ⋯
-├──────────┼───────────┼───────┼───────────┼───────────┼───────────┼──────────────────────────────
-│    0.44&#37; │   1.19 µs │     1 │   1.19 µs │   1.19 µs │   1.19 µs │ _Z13gen_sequencedI17curandS ⋯
-│    0.36&#37; │ 953.67 ns │     1 │ 953.67 ns │ 953.67 ns │ 953.67 ns │ _Z16broadcast_kernel15CuKer ⋯
-└──────────┴───────────┴───────┴───────────┴───────────┴───────────┴──────────────────────────────
-                                                                                  1 column omitted
-1-element CuArray&#123;Float32, 1, CUDA.Mem.DeviceBuffer&#125;:
- 1.7242923</code></pre>
-<p>The output shown above is a summary of what happened during the execution of the code. It is split into two sections: <strong>host-side activity</strong>, i.e., API calls to the CUDA libraries, and the resulting <strong>device-side activity</strong>. As part of each section, the output shows the time spent and the ratio to the total execution time. These ratios are important, and a good tool to quickly assess the performance of your code. For example, in the above output, we see that most of the time is spent on the host calling the CUDA libraries, and only very little time is actually spent computing things on the GPU. This indicates that the GPU is severely underutilized, which can be solved by increasing the problem size.</p>
-<p>Instead of a summary, it is also possible to view a <strong>chronological trace</strong> by passing the <code>trace&#61;true</code> keyword argument:</p>
-<pre><code class="language-julia-repl">julia&gt; CUDA.@profile trace&#61;true CUDA.rand&#40;1&#41;.&#43;1;
-Profiler ran for 262.98 µs, capturing 21 events.Host-side activity: calling CUDA APIs took 227.21 µs &#40;86.40&#37; of the trace&#41;
-┌────┬───────────┬───────────┬─────────────────────────┬────────────────────────┐
-│ ID │     Start │      Time │                    Name │ Details                │
-├────┼───────────┼───────────┼─────────────────────────┼────────────────────────┤
-│  5 │   6.44 µs │   9.06 µs │ cuMemAllocFromPoolAsync │ 4 bytes, device memory │
-│  7 │  19.31 µs │ 715.26 ns │        cudaGetLastError │ -                      │
-│  8 │  22.41 µs │ 204.09 µs │        cudaLaunchKernel │ -                      │
-│  9 │ 227.21 µs │    0.0 ns │        cudaGetLastError │ -                      │
-│ 14 │  232.7 µs │   3.58 µs │ cuMemAllocFromPoolAsync │ 4 bytes, device memory │
-│ 18 │ 250.34 µs │   7.39 µs │          cuLaunchKernel │ -                      │
-└────┴───────────┴───────────┴─────────────────────────┴────────────────────────┘Device-side activity: GPU was busy for 2.38 µs &#40;0.91&#37; of the trace&#41;
-┌────┬───────────┬─────────┬─────────┬────────┬──────┬────────────────────────────────────────────
-│ ID │     Start │    Time │ Threads │ Blocks │ Regs │ Name                                      ⋯
-├────┼───────────┼─────────┼─────────┼────────┼──────┼────────────────────────────────────────────
-│  8 │ 225.31 µs │ 1.19 µs │      64 │     64 │   38 │ _Z13gen_sequencedI17curandStateXORWOWfiXa ⋯
-│ 18 │ 257.73 µs │ 1.19 µs │       1 │      1 │   18 │ _Z16broadcast_kernel15CuKernelContext13Cu ⋯
-└────┴───────────┴─────────┴─────────┴────────┴──────┴────────────────────────────────────────────
-                                                                                  1 column omitted</code></pre>
-<p>Here, we can see a list of events that the profiler captured. Each event has a unique ID, which can be used to corelate host-side and device-side events. For example, we can see that event 8 on the host is a call to <code>cudaLaunchKernel</code>, which corresponds to to the execution of a CURAND kernel on the device.</p>
-<p>The integrated profiler is a great tool to quickly assess the performance of your GPU application, identify bottlenecks, and find opportunities for optimization. For complex applications, however, it is still recommended to use NVIDIA&#39;s NSight Systems or Compute profilers, which provide a more detailed, graphical view of what is happening on the GPU.</p>
-<h2 id="synchronization_on_worker_threads">Synchronization on worker threads</h2>
-<p>Another noteworthy change affects how tasks are synchronized. To enable concurrent execution, i.e., to make it possible for other Julia tasks to execute while waiting for the GPU to finish, CUDA.jl used to rely on so-called stream callbacks. These callbacks were a significant source of latency, at least 25us per invocation but sometimes <em>much</em> longer, and have also been slated for deprecation and eventual removal from the CUDA toolkit.</p>
-<p>Instead, on Julia 1.9 and later, CUDA.jl <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2025">now uses</a> worker threads to wait for GPU operations to finish. This mechanism is significantly faster, taking around 5us per invocation, but more importantly offers a much more reliable and predictable latency. You can observe this mechanism using the integrated profiler:</p>
-<pre><code class="language-julia-repl">julia&gt; a &#61; CUDA.rand&#40;1024, 1024, 1024&#41;
-julia&gt; CUDA.@profile trace&#61;true CUDA.@sync a .&#43; a
-Profiler ran for 12.29 ms, capturing 527 events.Host-side activity: calling CUDA APIs took 11.75 ms &#40;95.64&#37; of the trace&#41;
-┌─────┬───────────┬───────────┬────────┬─────────────────────────┐
-│  ID │     Start │      Time │ Thread │                    Name │
-├─────┼───────────┼───────────┼────────┼─────────────────────────┤
-│   5 │   6.91 µs │  13.59 µs │      1 │ cuMemAllocFromPoolAsync │
-│   9 │  36.72 µs │ 199.56 µs │      1 │          cuLaunchKernel │
-│ 525 │ 510.69 µs │  11.75 ms │      2 │     cuStreamSynchronize │
-└─────┴───────────┴───────────┴────────┴─────────────────────────┘</code></pre>
-<p>For some users, this may still be too slow, so we have added two mechanisms that disable nonblocking synchronization and simply block the calling thread until the GPU operation finishes. The first is a global setting, which can be enabled by setting the <code>nonblocking_synchronization</code> preference to <code>false</code>, which can be done using Preferences.jl. <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2060">The second</a> is a fine-grained flag to pass to synchronization functions: <code>synchronize&#40;x; blocking&#61;true&#41;</code>, <code>CUDA.@sync blocking&#61;true
-...</code>, etc. Both these mechanisms should <em>not</em> be used widely, and are only intended for use in latency-critical code, e.g., when benchmarking or profiling.</p>
-<h2 id="local_toolkit_discovery">Local toolkit discovery</h2>
-<p>One of the breaking changes involves <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2058">how local toolkits are discovered</a>, when opting out of the use of artifacts. Previously, this could be enabled by calling <code>CUDA.set_runtime_version&#33;&#40;&quot;local&quot;&#41;</code>, which generated a <code>version &#61; &quot;local&quot;</code> preference. We are now changing this into two separate preferences, <code>version</code> and <code>local</code>, where the <code>version</code> preference overrides the version of the CUDA toolkit, and the <code>local</code> preference independently indicates whether to use a local CUDA toolkit or not.</p>
-<p>Concretely, this means that you will now need to call <code>CUDA.set_runtime_version&#33;&#40;local_toolkit&#61;true&#41;</code> to enable the use of a local toolkit. The toolkit version will be auto-detected, but can be overridden by also passing a version: <code>CUDA.set_runtime_version&#33;&#40;version; local_toolkit&#61;true&#41;</code>. This may be necessary when CUDA is not available during precompilation, e.g., on the log-in node of a cluster, or when building a container image.</p>
-<h2 id="raised_minimum_requirements">Raised minimum requirements</h2>
-<p>Finally, CUDA.jl 5.0 raises the minimum Julia and CUDA versions. The minimum Julia version is now 1.8, which should be enforced by the Julia package manager. The minimum CUDA toolkit version is now 11.4, but this cannot be enforced by the package manager. As a result, if you need to use an older version of the CUDA toolkit, you will need to pin CUDA.jl to v4.4 or below. <a href="https://github.com/JuliaGPU/CUDA.jl/blob/master/README.md">The README</a> will maintain a table of supported CUDA toolkit versions.</p>
-<p>Most users will not be affected by this change: If you use the artifact-provided CUDA toolkit, you will automatically get the latest version supported by your CUDA driver.</p>
-<h2 id="other_changes">Other changes</h2>
-<ul>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/2034">Support for CUDA 12.2</a>;</p>
-</li>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/2040">Memory limits</a> are now enforced by CUDA, resulting in better performance;</p>
-</li>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/1946">Support for Julia 1.10</a> &#40;with help from <a href="https://github.com/dkarrasch">@dkarrasch</a>&#41;;</p>
-</li>
-<li><p>Support for batched <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1975"><code>gemm</code></a>, <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1981"><code>gemv</code></a> and <a href="https://github.com/JuliaGPU/CUDA.jl/pull/2063"><code>svd</code></a> &#40;by <a href="https://github.com/lpawela">@lpawela</a> and <a href="https://github.com/nikopj">@nikopj</a>.</p>
-</li>
-</ul>
-]]></content:encoded>
-    
-  <pubDate>Tue, 19 Sep 2023 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[Profiling oneAPI.jl applications with VTune]]></title>
-  <link>https://juliagpu.org/post/2023-07-19-oneapi_profiling/index.html</link>
-  <guid>https://juliagpu.org/2023-07-19-oneapi_profiling/</guid>
-  <description><![CDATA[Profiling GPU applications is hard, so this post shows how to use Intel&#39;s VTune Profiler to profile GPU applications written in Julia with oneAPI.jl.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>Profiling GPU applications is hard, so this post shows how to use Intel&#39;s VTune Profiler to profile GPU applications written in Julia with oneAPI.jl.</p>
-<p>Because of the asynchronous nature of GPU execution, profiling GPU applications with Julia&#39;s tried and tested tools like <code>@profile</code> or even <code>@time</code> can be misleading: They will only show the time spent on the CPU, and will likely report that your application is spending most of its time waiting for the GPU.</p>
-<p>To get a better understanding of what is happening on the GPU, we need specialized tools. In this post, we&#39;ll show how to use Intel&#39;s VTune Profiler to profile GPU applications written in Julia using oneAPI.jl.</p>
-<h2 id="set-up">Set-up</h2>
-<p>Start by downloading and installing the <a href="https://www.intel.com/content/www/us/en/developer/tools/oneapi/vtune-profiler-download.html">Intel VTune Profiler</a>. This does not require administrative permissions, and will install in your home folder under the <code>intel</code> directory. On Linux, binaries will appear in <code>~/intel/oneapi/vtune/latest/bin64</code>. There are three that are particularly important:</p>
-<ul>
-<li><p><code>vtune</code>: a command-line tool to profile applications;</p>
-</li>
-<li><p><code>vtune-gui</code>: a graphical user interface to profile applications, or to visualize the results of a command-line profiling session;</p>
-</li>
-<li><p><code>vtune-backend</code>: a daemon that creates a web interface for VTune, which you can use to profile applications both locally and remotely.</p>
-</li>
-</ul>
-<h2 id="hello_vtune">Hello VTune&#33;</h2>
-<p>Let&#39;s start with a simple example: A Julia program that computes the sum of two arrays &#40;i.e., the <a href="https://github.com/JuliaGPU/oneAPI.jl/blob/master/examples/vadd.jl"><code>vadd</code> example</a> from the oneAPI repository&#41;:</p>
-<pre><code class="language-julia">using oneAPIfunction kernel&#40;a, b, c&#41;
-    i &#61; get_global_id&#40;&#41;
-    @inbounds c&#91;i&#93; &#61; a&#91;i&#93; &#43; b&#91;i&#93;
-    return
-endfunction vadd&#40;a, b&#41;
-    d_a &#61; oneArray&#40;a&#41;
-    d_b &#61; oneArray&#40;b&#41;
-    d_c &#61; similar&#40;d_a&#41;    @oneapi items&#61;size&#40;d_c&#41; kernel&#40;d_a, d_b, d_c&#41;
-    Array&#40;d_c&#41;
-endfunction main&#40;N&#61;256&#41;
-    a &#61; round.&#40;rand&#40;Float32, N&#41; * 100&#41;
-    b &#61; round.&#40;rand&#40;Float32, N&#41; * 100&#41;
-    c &#61; vadd&#40;a, b&#41;
-end
-main&#40;&#41;</code></pre>
-<p>We&#39;ve tweaked this example to make it more suited for profiling: We&#39;ve enclosed the main application in a function so that it gets compiled, and we&#39;ve increased the array sizes to make the GPU work harder.</p>
-<p>There are several ways to profile this application. We&#39;ll start by demonstrating the command-line interface:</p>
-<pre><code class="language-julia">&#36; vtune -collect gpu-offload julia vadd.jlvtune: Collection started.
-vtune: Collection stopped.vtune: Using result path &#96;/home/tim/Julia/pkg/oneAPI/r000gh&#39;
-    GPU Time: 0.002s
-EU Array Stalled/Idle: 100.0&#37; of Elapsed time with GPU busy
- | The percentage of time when the EUs were stalled or idle is high, which has a
- | negative impact on compute-bound applications.
-FPU Utilization: 0.0&#37; of Elapsed time with GPU busy
-...</code></pre>
-<p>This will run the application, and collect a number of GPU-related metrics. A summary is shown in the terminal, and a more detailed report will be written to a directory in the current working directory. You can open that report with the graphical user interface, possibly even on a different machine:</p>
-<pre><code class="language-julia">&#36; vtune-gui r000gh</code></pre>
-<h2 id="instrumenting_the_application">Instrumenting the application</h2>
-<p>The trace we just collected includes the time spent compiling our application, making it difficult to analyze what is happening. To refine the trace, we can instrument our application with Intel&#39;s Instrumentation and Tracing Technology &#40;ITT&#41; APIs:</p>
-<ul>
-<li><p>only start the profiler when we&#39;re running code of interest;</p>
-</li>
-<li><p>add markers to the trace to indicate what is happening.</p>
-</li>
-</ul>
-<p>We can interface with the ITT APIs using the <a href="https://github.com/JuliaPerf/IntelITT.jl">IntelITT.jl</a> package. Let&#39;s update our example:</p>
-<pre><code class="language-julia">using oneAPI, IntelITT# same as beforefunction main&#40;N&#61;256&#41;
-    a &#61; round.&#40;rand&#40;Float32, N&#41; * 100&#41;
-    b &#61; round.&#40;rand&#40;Float32, N&#41; * 100&#41;
-    c &#61; IntelITT.@task &quot;vadd&quot; oneAPI.@sync vadd&#40;a, b&#41;
-end# warm-up
-main&#40;&#41;# actual profile
-IntelITT.@collect main&#40;&#41;</code></pre>
-<p>Here, the <code>IntelITT.@collect</code> macro will start and stop the collection, so we should launch VTune with the <code>-start-paused</code> option:</p>
-<pre><code class="language-julia">&#36; vtune -collect gpu-offload -start-paused julia vadd.jl</code></pre>
-<p>In the GUI, we can now clearly see a nicely packed stream of API calls, grouped under the <code>vadd</code> task we added. Note that because API calls are asynchronous, i.e. they return immediately before the GPU has executed them, I grouped them under a <code>oneAPI.@sync</code> call so that the task not only captures the time spent on the CPU, but also the time spent on the GPU. This may not be wanted for your application.</p>
-<p><img src="vtune_timeline.png" alt="VTune timeline" /></p>
-<h2 id="kernel_details">Kernel details</h2>
-<p>The timeline view is great for getting an application-level overview of what is happening, but once you&#39;ve isolated a kernel that doesn&#39;t perform as expected, you may want to switch from the GPU Offload to the GPU Compute Hotspots analysis. Here, you get a more detailed view of what&#39;s happening during execution on the GPU, including the memory bandwidth and execution properties:</p>
-<pre><code class="language-julia">&#36; vtune -collect gpu-hotspots -start-paused julia vadd.jl</code></pre>
-<p><img src="vtune_gpu_hotspots.png" alt="VTune timeline" /></p>
-<p>Many of these analysis can be configured to collect more or less data, at the cost of more or less overhead.</p>
-<h2 id="working_remotely">Working remotely</h2>
-<p>In many cases, your local system will not have a GPU, and you will want to profile an application running on a remote system. As shown above, you can use the <code>vtune</code> CLI to create a trace and open that locally using <code>vtune-gui</code>, however there is an easier way: The <code>vtune-backend</code> daemon.</p>
-<p>Start by launching the VTune back-end on the remote system:</p>
-<pre><code class="language-julia">&#36; vtune-backend --enable-server-profiling --web-port 8443 --log-to-console</code></pre>
-<p>If your remote system is directly reachable, you want to add <code>--allow-remote-access --base-url &quot;https://remoteServer:8443&quot;</code>. However, most people will need to set-up an SSH tunnel:</p>
-<pre><code class="language-julia">&#36; ssh -L 8443:localhost:8443 remoteServer</code></pre>
-<p>You can now access the VTune GUI at <code>https://localhost:8443/</code>. Note that the first time you connect, you will need to do so using the one-time URL that is shown in the terminal where you launched the <code>vtune-backend</code> daemon.</p>
-<p>The web interface that <code>vtune-backend</code> provides is identical to the GUI from <code>vtune-gui</code>: Start by creating a new project, and configuring an analysis: Select the local VTune profile server, enter the path to the Julia executable along with arguments and a working directory, and select the GPU Offload analysis type:</p>
-<p><img src="vtune_webui.png" alt="VTune WebUI" /></p>
-<p>To start the analysis, click the big blue play button. If you use <code>IntelITT.@collect</code> to restrict the trace to the code of interest, use the second button with the pause symbol.</p>
-<h2 id="give_it_a_try">Give it a try&#33;</h2>
-<p>Hopefully, this guide has shed some light on how to accurately profile oneAPI.jl applications using Intel&#39;s VTune Profiler. It turns out that one package could significantly benefit from some rigorous profiling: oneAPI.jl&#33; Until now, development has focussed on correctness and usability, leaving considerable room for performance enhancements.</p>
-<p>If you have access to an Intel GPU and want to gain experience profiling GPU applications with VTune, we encourage you to get involved&#33; A good starting point would be analyzing some of oneAPI.jl&#39;s array operations like <code>mapreduce</code> or <code>broadcast</code> to identify potential bottlenecks. For more information or any queries, feel free to open an issue on GitHub, or join the discussion on Slack or Discourse. Your help could make a significant difference&#33;</p>
-]]></content:encoded>
-    
-  <pubDate>Wed, 19 Jul 2023 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[Metal.jl 0.2: Metal Performance Shaders]]></title>
-  <link>https://juliagpu.org/post/2023-03-03-metal_0.2/index.html</link>
-  <guid>https://juliagpu.org/2023-03-03-metal_0.2/</guid>
-  <description><![CDATA[Metal.jl 0.2 marks a significant milestone in the development of the Metal.jl package. The release comes with initial support for the Metal Perform Shaders &#40;MPS&#41; framework for accelerating common operations like matrix multiplications, as well as various improvements for writing Metal kernels in Julia.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>Metal.jl 0.2 marks a significant milestone in the development of the Metal.jl package. The release comes with initial support for the Metal Perform Shaders &#40;MPS&#41; framework for accelerating common operations like matrix multiplications, as well as various improvements for writing Metal kernels in Julia.</p>
-<h2 id="metal_performance_shaders">Metal Performance Shaders</h2>
-<p>Quoting the <a href="https://developer.apple.com/documentation/metalperformanceshaders">Apple documentation</a>, The Metal Performance Shaders &#40;MPS&#41; framework contains a collection of highly optimized compute and graphics shaders for use in Metal applications. With Metal.jl 0.2, we have added initial support for this framework, and used it to accelerate the matrix multiplication operation:</p>
-<pre><code class="language-julia-repl">julia&gt; using Metal, LinearAlgebra, BenchmarkTools
-julia&gt; n &#61; p &#61; m &#61; 2048
-julia&gt; flops &#61; n*m*&#40;2p-1&#41;
-17175674880julia&gt; a &#61; MtlArray&#40;rand&#40;Float32, n, p&#41;&#41;;
-julia&gt; b &#61; MtlArray&#40;rand&#40;Float32, p, m&#41;&#41;;
-julia&gt; c &#61; MtlArray&#40;zeros&#40;Float32, n, m&#41;&#41;;julia&gt; using LinearAlgebra
-julia&gt; bench &#61; @benchmark Metal.@sync mul&#33;&#40;c, a, b&#41;
-BenchmarkTools.Trial: 518 samples with 1 evaluation.
- Range &#40;min … max&#41;:  9.366 ms …  13.354 ms  ┊ GC &#40;min … max&#41;: 0.00&#37; … 0.00&#37;
- Time  &#40;median&#41;:     9.629 ms               ┊ GC &#40;median&#41;:    0.00&#37;
- Time  &#40;mean ± σ&#41;:   9.646 ms ± 192.169 μs  ┊ GC &#40;mean ± σ&#41;:  0.00&#37; ± 0.00&#37;               ▃▂▅▅▆▆▆▇█▇▇▆▅▄▄▁▁ ▁
-  ▄▁▄▄▄▄▆▆▆▄▄▁▇█████████████████▄█▄▁▆▁▄▁▆▁▇▁▄▄▁▁▄▄▇▁▄▆▄▁▁▁▁▁▄ █
-  9.37 ms      Histogram: log&#40;frequency&#41; by time      10.1 ms &lt; Memory estimate: 352 bytes, allocs estimate: 12.julia&gt; flops / &#40;minimum&#40;bench.times&#41;/1e9&#41;
-1.83e12</code></pre>
-<p>The benchmark above shows that on an 8-core M1 Pro matrix multiplication now reaches 1.8 TFLOPS &#40;out of the 2.6TFLOPS of theoretical performance&#41;. The accelerated matrix multiplication is available for a variety of input types, incuding mixed-mode operations, and as shown above is integrated with the LinearAlgebra.jl <code>mul&#33;</code> interface.</p>
-<p>Of course, the MPS framework offers more than just matrix multiplication, and we expect to support more of it in the future. If you have a specific operation you would like to use from Julia, please let us know by opening an issue on the Metal.jl repository.</p>
-<h2 id="gpu_profiling_support">GPU profiling support</h2>
-<p>To support the development of Metal kernels, <a href="https://github.com/max-Hawkins">Max Hawkins</a> has added support for GPU profiling. Similar to how this works in CUDA.jl, you can run code under the <code>Metal.@profile</code> macro to record its execution. However, this does first require setting the <code>METAL_CAPTURE_ENABLED</code> environment flag <em>before</em> import Metal.jl:</p>
-<pre><code class="language-julia-repl">julia&gt; ENV&#91;&quot;METAL_CAPTURE_ENABLED&quot;&#93; &#61; 1julia&gt; using Metaljulia&gt; a &#61; mtl&#40;rand&#40;1024, 1024&#41;&#41;
-julia&gt; Metal.@profile sum&#40;a&#41;
-&#91; Info: GPU frame capture saved to jl_metal.gputrace/</code></pre>
-<p>The resulting capture can be opened with Xcode, presenting a timeline that&#39;s similar to other profilers:</p>
-<figure>
-  <img src="https://juliagpu.org/post/2023-03-03-metal_0.2/xcode.png" alt="XCode viewing a Metal.jl capture trace">
-</figure><h2 id="other_improvements">Other improvements</h2>
-<ul>
-<li><p>Julia 1.9 is supported, but requires an up-to-date macOS version &#40;issues have been encountered on macOS 12.4&#41;;</p>
-</li>
-<li><p>An <code>mtl</code> function has been added for converting Julia arrays to Metal arrays, similar to the <code>cu</code> function in CUDA.jl;</p>
-</li>
-<li><p>Multiple GPUs are supported, and the <code>device&#33;</code> function can be used to select one;</p>
-</li>
-<li><p>Coverage for SIMD Group functions has been improved, so it&#39;s is now possible to use <code>simdgroup_load</code>, <code>simdgroup_store</code>, <code>simdgroup_multiply</code>, and <code>simdgroup_multiply_accumulate</code> in kernels functions.</p>
-</li>
-</ul>
-<h2 id="future_work">Future work</h2>
-<p>Although Metal.jl is now usable for a variety of applications, there is still work to be done before it can be considered production-ready. In particular:</p>
-<ul>
-<li><p>there are known performance issues with <code>mapreduce</code>, and other operations that realy on <code>CartesianIndices</code>;</p>
-</li>
-<li><p>the <code>libcmt</code> wrapper library for interfacing with the Metal APIs is cumbersome to use and improve, and we are looking into native ObjectiveC FFI instead;</p>
-</li>
-<li><p>the MPS wrappers are incomplete, and similar to the Metal APIs requires a replacement to <code>libcmt</code> to be improved;</p>
-</li>
-<li><p>support for atomic operations is missing, which is required to implement a full-featured KernelAbstractions.jl back-end.</p>
-</li>
-</ul>
-<p>Once &#40;most of&#41; these issues are addressed, we should be able to release Metal.jl 1.0.</p>
-]]></content:encoded>
-    
-  <pubDate>Fri, 03 Mar 2023 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[oneAPI.jl 1.0: oneMKL, Intel Arc and Julia 1.9]]></title>
-  <link>https://juliagpu.org/post/2023-02-08-oneapi_1.0/index.html</link>
-  <guid>https://juliagpu.org/2023-02-08-oneapi_1.0/</guid>
-  <description><![CDATA[The release of oneAPI.jl 1.0 adds integration with the oneAPI Math Kernel Library &#40;oneMKL&#41; to accelerate linear algebra operations on Intel GPUs. It also brings support for Julia 1.9 and Intel Arc GPUs.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>The release of oneAPI.jl 1.0 adds integration with the oneAPI Math Kernel Library &#40;oneMKL&#41; to accelerate linear algebra operations on Intel GPUs. It also brings support for Julia 1.9 and Intel Arc GPUs.</p>
-<h2 id="onemkl_integration">oneMKL integration</h2>
-<p>oneAPI.jl now uses the Intel oneAPI Math Kernel Library &#40;oneMKL&#41;, automatically downloaded as part of <code>oneAPI_Support_jll.jl</code>, to accelerate a great number of BLAS and LAPACK operations on Intel GPUs. Similar to how it is implemented in our other GPU back-ends, these wrappers are available at different levels of abstraction.</p>
-<p>At the lowest level, we use a C library that wraps the oneMKL C&#43;&#43; APIs. For example, the <code>oneapi::mkl::blas::column_major::gemm</code> function for matrix-matrix multiplication is wrapped by the C functions <code>onemklSgemm</code>, <code>onemklDgemm</code>, etc. These wrappers are used to implement low-level methods like <code>oneMKL.gemm&#33;</code>:</p>
-<pre><code class="language-julia-repl">julia&gt; using oneAPIjulia&gt; A &#61; oneArray&#40;rand&#40;Float32, 2, 3&#41;&#41;;
-2×3 oneMatrix&#123;Float32, oneAPI.oneL0.DeviceBuffer&#125;:
- 0.44302   0.125576  0.859145
- 0.674291  0.428346  0.0400119
-julia&gt; B &#61; oneArray&#40;rand&#40;Float32, 3, 4&#41;&#41;
-3×4 oneMatrix&#123;Float32, oneAPI.oneL0.DeviceBuffer&#125;:
- 0.592748   0.529413   0.0323396  0.659528
- 0.22489    0.0872259  0.253291   0.376519
- 0.0121506  0.591135   0.706755   0.751686
-julia&gt; C &#61; similar&#40;B, &#40;2, 4&#41;&#41;;julia&gt; oneMKL.gemm&#33;&#40;&#39;N&#39;, &#39;N&#39;, true, A, B, true, C&#41;
-2×4 oneMatrix&#123;Float32, oneAPI.oneL0.DeviceBuffer&#125;:
- 0.301279  0.753365  0.65334   0.985274
- 0.496501  0.417994  0.158581  0.63607julia&gt; Array&#40;C&#41; ≈ Array&#40;A&#41; * Array&#40;B&#41;
-true</code></pre>
-<p>Of course, these low-level functions aren&#39;t very user-friendly, so we also integrate with Julia&#39;s standard libraries where possible:</p>
-<pre><code class="language-julia-repl">julia&gt; A &#61; oneArray&#40;rand&#40;Float32, 2, 3&#41;&#41;;
-julia&gt; B &#61; oneArray&#40;rand&#40;Float32, 3, 4&#41;&#41;;julia&gt; using LinearAlgebra
-julia&gt; C &#61; A * B;julia&gt; Array&#40;C&#41; ≈ Array&#40;A&#41; * Array&#40;B&#41;
-true</code></pre>
-<p>The most frequently used oneMKL BLAS functions have been wrapped and integrated with Julia’s standard linear algebra libraries. If you run into a missing function, please file a request to add it, or take a look at the source and contribute to oneAPI.jl&#33; The current state of the wrappers should make it easy to extend their functionality, as well as form a good basis for integrating with other libraries like oneDNN.</p>
-<h2 id="intel_arc_support">Intel Arc support</h2>
-<p>The new Arc series of discrete Intel GPUs are now fully supported by oneAPI.jl. These GPUs offer a significant performance improvement over their integrated predecessors:</p>
-<pre><code class="language-julia-repl">julia&gt; using oneAPI
-julia&gt; oneAPI.versioninfo&#40;&#41;
-1 device:
-- Intel&#40;R&#41; Arc&#40;TM&#41; A770 Graphics &#91;0x56a0&#93;julia&gt; T &#61; Float32;
-julia&gt; n &#61; p &#61; m &#61; 2048;
-julia&gt; a &#61; oneArray&#40;rand&#40;T, n, p&#41;&#41;;
-julia&gt; b &#61; oneArray&#40;rand&#40;T, p, m&#41;&#41;;
-julia&gt; c &#61; oneArray&#40;zeros&#40;T, n, m&#41;&#41;;julia&gt; using BenchmarkTools, LinearAlgebra
-julia&gt; bench &#61; @benchmark oneAPI.@sync mul&#33;&#40;c, a, b&#41;
-BenchmarkTools.Trial: 1510 samples with 1 evaluation.
- Range &#40;min … max&#41;:  3.233 ms …  3.791 ms  ┊ GC &#40;min … max&#41;: 0.00&#37; … 0.00&#37;
- Time  &#40;median&#41;:     3.298 ms              ┊ GC &#40;median&#41;:    0.00&#37;
- Time  &#40;mean ± σ&#41;:   3.308 ms ± 48.426 μs  ┊ GC &#40;mean ± σ&#41;:  0.00&#37; ± 0.00&#37;        ▁▃▄▇█▅▄▃▂   ▁▁▁
-  ▁▁▃▃▅▇██████████████████▇▇▇▅▆▄▅▅▄▂▃▂▂▂▂▂▂▁▂▂▂▁▂▁▂▁▂▂▂▂▁▁▂▂ ▃
-  3.23 ms        Histogram: frequency by time        3.47 ms &lt; Memory estimate: 272 bytes, allocs estimate: 11.julia&gt; flops &#61; n*m*&#40;2p-1&#41;
-17175674880julia&gt; flops / &#40;minimum&#40;bench.times&#41;/1e9&#41;
-5.3131281169900205e12</code></pre>
-<p>For example, here we&#39;re getting over 5 TFlops of Float32 performance, which is over 10x faster than the Intel Xe Graphics G7 we had been previously using for oneAPI.jl development. At the same time, the A770 used above should be able to deliver close to 20 TFlops, so there&#39;s still room for improvement in our software stack.</p>
-<p>To use oneAPI.jl with an Arc series GPU, you need to run Linux 6.2. At the time of writing, that kernel is still in beta, so refer to your distribution&#39;s documentation for how to install it. For example, on Arch Linux you can use the <a href="https://aur.archlinux.org/packages/linux-mainline"><code>linux-mainline</code> package from the AUR</a>, Ubuntu has the <a href="https://wiki.ubuntu.com/Kernel/MainlineBuilds"><code>kernel-ppa</code> archive</a>, Fedora provides the <a href="https://fedoraproject.org/wiki/Kernel_Vanilla_Repositories"><code>stable-rc</code> repository</a>, etc.</p>
-<h2 id="other_changes">Other changes</h2>
-<ul>
-<li><p>Support for Julia 1.9 has been added.</p>
-</li>
-</ul>
-]]></content:encoded>
-    
-  <pubDate>Wed, 08 Feb 2023 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[CUDA.jl 4.0]]></title>
-  <link>https://juliagpu.org/post/2023-02-01-cuda_4.0/index.html</link>
-  <guid>https://juliagpu.org/2023-02-01-cuda_4.0/</guid>
-  <description><![CDATA[CUDA.jl 4.0 is a breaking release that introduces the use of JLLs to provide the CUDA toolkit. This makes it possible to compile other binary libaries against the CUDA runtime, and use them together with CUDA.jl. The release also brings CUSPARSE improvements, the ability to limit memory use, and many bug fixes and performance improvements.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>CUDA.jl 4.0 is a breaking release that introduces the use of JLLs to provide the CUDA toolkit. This makes it possible to compile other binary libaries against the CUDA runtime, and use them together with CUDA.jl. The release also brings CUSPARSE improvements, the ability to limit memory use, and many bug fixes and performance improvements.</p>
-<h2 id="jlls_for_cuda_artifacts">JLLs for CUDA artifacts</h2>
-<p>While CUDA.jl has been using binary artifacts for a while, it was manually managing installation and selection of them, i.e., not by using standardised JLL packages. This complicated use of the artifacts by other packages, and made it difficult to build other binary packages against the CUDA runtime.</p>
-<p>With CUDA.jl 4.0, we now use JLLs to load the CUDA driver and runtime. Specifically, there are two JLLs in play: <code>CUDA_Driver_jll</code> and <code>CUDA_Runtime_jll</code>. The former is responsible for loading the CUDA driver library &#40;possibly upgrading it using a forward-compatible version&#41;, and determining the CUDA version that your set-up supports:</p>
-<pre><code class="language-julia-repl">❯ JULIA_DEBUG&#61;CUDA_Driver_jll julia
-julia&gt; using CUDA_Driver_jll
-┌ System CUDA driver found at libcuda.so.1, detected as version 12.0.0
-└ @ CUDA_Driver_jll
-┌ System CUDA driver is recent enough; not using forward-compatible driver
-└ @ CUDA_Driver_jll</code></pre>
-<p>With the driver identified and loaded, <code>CUDA_Runtime_jll</code> can select a compatible toolkit. By default, it uses the latest supported toolkit that is compatible with the driver:</p>
-<pre><code class="language-julia-repl">julia&gt; using CUDA_Runtime_jlljulia&gt; CUDA_Runtime_jll.cuda_toolkits
-10-element Vector&#123;VersionNumber&#125;:
- v&quot;10.2.0&quot;
- v&quot;11.0.0&quot;
- v&quot;11.1.0&quot;
- v&quot;11.2.0&quot;
- v&quot;11.3.0&quot;
- v&quot;11.4.0&quot;
- v&quot;11.5.0&quot;
- v&quot;11.6.0&quot;
- v&quot;11.7.0&quot;
- v&quot;11.8.0&quot;julia&gt; CUDA_Runtime_jll.host_platform
-Linux x86_64 &#123;cuda&#61;11.8&#125;</code></pre>
-<p>As you can see, the selected CUDA runtime is encoded in the host platform. This makes it possible for Julia to automatically select compatible versions of other binary packages. For example, if we install and load <code>SuiteSparse_GPU_jll</code>, which right now <a href="https://github.com/JuliaPackaging/Yggdrasil/blob/2f5a64d9f61d0f1b619367b03b5cecae979ed6d1/S/SuiteSparse/SuiteSparse_GPU/build_tarballs.jl#L104-L126">provides builds</a> for CUDA 10.2, 11.0 and 12.0, the artifact resolution code knows to load the build for CUDA 11.0 which is compatible with the selected CUDA 11.8 runtime:</p>
-<pre><code class="language-julia">julia&gt; using SuiteSparse_GPU_jlljulia&gt; SuiteSparse_GPU_jll.best_wrapper
-&quot;~/.julia/packages/SuiteSparse_GPU_jll/.../x86_64-linux-gnu-cuda&#43;11.0.jl&quot;</code></pre>
-<p>The change to JLLs requires a breaking change: the <code>JULIA_CUDA_VERSION</code> and <code>JULIA_CUDA_USE_BINARYBUILDER</code> environment variables have been removed, and are replaced by preferences that are set in the current environment. For convenience, you can set these preferences by calling <code>CUDA.set_runtime_version&#33;</code>:</p>
-<pre><code class="language-julia-repl">❯ julia --project
-julia&gt; using CUDA
-julia&gt; CUDA.runtime_version&#40;&#41;
-v&quot;11.8.0&quot;julia&gt; CUDA.set_runtime_version&#33;&#40;v&quot;11.7&quot;&#41;
-┌ Set CUDA Runtime version preference to 11.7,
-└ please re-start Julia for this to take effect.❯ julia --project
-julia&gt; using CUDA
-julia&gt; CUDA.runtime_version&#40;&#41;
-v&quot;11.7.0&quot;julia&gt; using CUDA_Runtime_jll
-julia&gt; CUDA_Runtime_jll.host_platform
-Linux x86_64 &#123;cuda&#61;11.7&#125;</code></pre>
-<p>The changed preference is reflected in the host platform, which means that you can use this mechanism to load a different builds of other binary packages. For example, if you rely on a package or JLL that does not yet have a build for CUDA 12, you could set the preference to <code>v&quot;11.x&quot;</code> to load an available build.</p>
-<p>For discovering a local runtime, you can set the version to <code>&quot;local&quot;</code>, which will replace the use of <code>CUDA_Runtime_jll</code> by <code>CUDA_Runtime_discovery.jl</code>, an API-compatible package that replaces the JLL with a local runtime discovery mechanism:</p>
-<pre><code class="language-julia-repl">❯ julia --project
-julia&gt; CUDA.set_runtime_version&#33;&#40;&quot;local&quot;&#41;
-┌ Set CUDA Runtime version preference to local,
-└ please re-start Julia for this to take effect.❯ JULIA_DEBUG&#61;CUDA_Runtime_Discovery julia --project
-julia&gt; using CUDA
-┌ Looking for CUDA toolkit via environment variables CUDA_PATH
-└ @ CUDA_Runtime_Discovery
-┌ Looking for binary ptxas in /opt/cuda
-│   all_locations &#61;
-│    2-element Vector&#123;String&#125;:
-│     &quot;/opt/cuda&quot;
-│     &quot;/opt/cuda/bin&quot;
-└ @ CUDA_Runtime_Discovery
-┌ Debug: Found ptxas at /opt/cuda/bin/ptxas
-└ @ CUDA_Runtime_Discovery
-...</code></pre>
-<h2 id="memory_limits">Memory limits</h2>
-<p>By popular demand, support for memory limits has been reinstated. This functionality had been removed after the switch to CUDA memory pools, as the memory pool allocator does not yet support memory limits. Awaiting improvements by NVIDIA, we have added functionality to impose memory limits from the Julia side, in the form of two environment variables:</p>
-<ul>
-<li><p><code>JULIA_CUDA_SOFT_MEMORY_LIMIT</code>: This is an advisory limit, used to configure the memory pool, which will result in the pool being shrunk down to the requested limit at every synchronization point. That means that the pool may temporarily grow beyond the limit. This limit is unavailable when disabling memory pools &#40;with <code>JULIA_CUDA_MEMORY_POOL&#61;none</code>&#41;.</p>
-</li>
-<li><p><code>JULIA_CUDA_HARD_MEMORY_LIMIT</code>: This is a hard limit, checked before every allocation. Doing so is relatively expensive, so it is recommended to use the soft limit instead.</p>
-</li>
-</ul>
-<p>The value of these variables can be formatted as a numer of bytes, optionally followed by a unit, or as a percentage of the total device memory. Examples: <code>100M</code>, <code>50&#37;</code>, <code>1.5GiB</code>, <code>10000</code>.</p>
-<h2 id="cusparse_improvements">CUSPARSE improvements</h2>
-<p>Thanks to the work of <a href="https://github.com/amontoison">@amontoison</a>, the CUSPARSE interface has undergone many improvements:</p>
-<ul>
-<li><p>Better support of the <code>CuSparseMatrixCOO</code> format with, in particular, the addition of <code>CuSparseMatrixCOO * CuVector</code> and <code>CuSparseMatrixCOO * CuMatrix</code> products;</p>
-</li>
-<li><p>Routines specialized for <code>-</code>, <code>&#43;</code>, <code>*</code> operations between sparse matrices &#40;<code>CuSparseMatrixCOO</code>, <code>CuSparseMatrixCSC</code> and <code>CuSparseMatrixCSR</code>&#41; have been interfaced;</p>
-</li>
-<li><p>New generic routines for backward and forward sweeps with sparse triangular matrices are now used by <code>\</code>;</p>
-</li>
-<li><p><code>CuMatrix * CuSparseVector</code> and <code>CuMatrix * CuSparseMatrix</code> products have been added;</p>
-</li>
-<li><p>Conversions between sparse and dense matrices have been updated for using more recent and optimized routines;</p>
-</li>
-<li><p>High-level Julia functions for the new set of sparse BLAS 1 routines such as dot products between <code>CuSparseVector</code>;</p>
-</li>
-<li><p>Add missing dispatchs for <code>mul&#33;</code> and <code>ldiv&#33;</code> functions;</p>
-</li>
-<li><p>Interfacing of almost all new CUSPARSE routines added by the CUDA toolkits <code>v&quot;11.x&quot;</code>.</p>
-</li>
-</ul>
-<h2 id="other_changes">Other changes</h2>
-<ul>
-<li><p>Removal of the CUDNN, CUTENSOR, CUTENSORNET and CUSTATEVEC submodules: These have been moved into their own packages, respectively cuDNN.jl, cuTENSOR.jl, cuTensorNet.jl and cuStateVec.jl &#40;note the change in capitalization, now following NVIDIA&#39;s naming scheme&#41;;</p>
-</li>
-<li><p>Removal of the NVTX submodule: NVTX.jl should be used instead, which is a more complete implementation of the NVTX API;</p>
-</li>
-<li><p>Support for CUDA 11.8 &#40;support for CUDA 12.0 is being worked on&#41;;</p>
-</li>
-<li><p>Support for Julia 1.9.</p>
-</li>
-</ul>
-<h2 id="backport_releases">Backport releases</h2>
-<p>Because CUDA.jl 4.0 is a breaking release, two additional releases have been made that backport bugfixes and select features:</p>
-<ul>
-<li><p>CUDA.jl 3.12.1 and 3.12.2: backports of bugfixes since 3.12</p>
-</li>
-<li><p>CUDA.jl 3.13.0: additionally adding the memory limit functionality</p>
-</li>
-</ul>
-]]></content:encoded>
-    
-  <pubDate>Wed, 01 Feb 2023 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[Technical preview: Programming Apple M1 GPUs in Julia with Metal.jl]]></title>
-  <link>https://juliagpu.org/post/2022-06-24-metal/index.html</link>
-  <guid>https://juliagpu.org/2022-06-24-metal/</guid>
-  <description><![CDATA[Julia has gained a new GPU back-end: Metal.jl, for working with Apple&#39;s M1   GPUs. The back-end is built on the same foundations that make up existing   GPU packages like CUDA.jl and AMDGPU.jl, so it should be familiar to anybody   who&#39;s already programmed GPUs in Julia. In the following post I&#39;ll demonstrate   some of that functionality and explain how it works.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>Julia has gained a new GPU back-end: Metal.jl, for working with Apple&#39;s M1   GPUs. The back-end is built on the same foundations that make up existing   GPU packages like CUDA.jl and AMDGPU.jl, so it should be familiar to anybody   who&#39;s already programmed GPUs in Julia. In the following post I&#39;ll demonstrate   some of that functionality and explain how it works.</p>
-<p>But first, note that <strong><a href="https://github.com/JuliaGPU/Metal.jl">Metal.jl</a> is under heavy development</strong>: The package is considered experimental for now, as we&#39;re still working on squashing bugs and adding essential functionality. We also haven&#39;t optimized for performance yet. If you&#39;re interesting in using Metal.jl, please consider contributing to its development&#33; Most of the package is written in Julia, and checking-out the source code is a single <code>Pkg.develop</code> away :-&#41;</p>
-<h2 id="quick_start">Quick start</h2>
-<p>Start by getting a hold of the upcoming <a href="https://julialang.org/downloads/#upcoming_release">Julia 1.8</a>, launch it, and enter the package manager by pressing <code>&#93;</code>:</p>
-<pre><code class="language-text">julia&gt; &#93;pkg&gt; add Metal
-  Installed Metal</code></pre>
-<p>Installation is as easy as that, and we&#39;ll automatically download the necessary binary artifacts &#40;a C wrapper for the Metal APIs, and an LLVM back-end&#41;. Then, leave the package manager by pressing backspace, import the Metal package, and e.g. call the <code>versioninfo&#40;&#41;</code> method for some details on the toolchain:</p>
-<pre><code class="language-text">julia&gt; using Metaljulia&gt; Metal.versioninfo&#40;&#41;
-macOS 13.0.0, Darwin 21.3.0Toolchain:
-- Julia: 1.8.0-rc1
-- LLVM: 13.0.11 device:
-- Apple M1 Pro &#40;64.000 KiB allocated&#41;</code></pre>
-<p>And there we go&#33; You&#39;ll note here that I&#39;m using the upcoming macOS 13 &#40;Ventura&#41;; this is currently the only supported operating system. We also only support M-series GPUs, even though Metal does support other GPUs. These choices were made to simplify development, and aren&#39;t technical limitations. In fact, Metal.jl <em>does</em> work on e.g. macOS Monterey with an Intel GPU, but it&#39;s an untested combination that may suffer from bugs.</p>
-<h2 id="array_programming">Array programming</h2>
-<p>Just like our other GPU back-ends, Metal.jl offers an array abstraction that greatly simplifies GPU programming. The abstraction centers around the <code>MtlArray</code> type that can be used to manage memory and perform GPU computations:</p>
-<pre><code class="language-julia"># allocate &#43; initialize
-julia&gt; a &#61; MtlArray&#40;rand&#40;Float32, 2, 2&#41;&#41;
-2×2 MtlArray&#123;Float32, 2&#125;:
- 0.158752  0.836366
- 0.535798  0.153554# perform some GPU-accelerated operations
-julia&gt; b &#61; a * a
-2×2 MtlArray&#123;Float32, 2&#125;:
- 0.473325  0.261202
- 0.167333  0.471702# back to the CPU
-julia&gt; Array&#40;b&#41;
-2×2 Matrix&#123;Float32&#125;:
- 0.473325  0.261202
- 0.167333  0.471702</code></pre>
-<p>Beyond these simple operations, Julia&#39;s higher-order array abstractions can be used to express more complex operations without ever having to write a kernel:</p>
-<pre><code class="language-julia">julia&gt; mapreduce&#40;sin, &#43;, a; dims&#61;1&#41;
-1×2 MtlArray&#123;Float32, 2&#125;:
- 1.15276  0.584146julia&gt; cos.&#40;a .&#43; 2&#41; .* 3
-2×2 MtlArray&#123;Float32, 2&#125;:
- -2.0472   -1.25332
- -2.96594  -2.60351</code></pre>
-<p>Much of this functionality comes from the <a href="https://github.com/JuliaGPU/GPUArrays.jl/">GPUArrays.jl</a> package, which provides vendor-neutral implementations of common array operations. As a result, <code>MtlArray</code> is already pretty capable, and should be usable with realistic array-based applications.</p>
-<h2 id="kernel_programming">Kernel programming</h2>
-<p>Metal.jl&#39;s array operations are implemented in Julia, using our native kernel programming capabilities and accompanying JIT-compiler. A small demonstration:</p>
-<pre><code class="language-julia"># a simple kernel that sets elements of an array to a value
-function memset_kernel&#40;array, value&#41;
-  i &#61; thread_position_in_grid_1d&#40;&#41;
-  if i &lt;&#61; length&#40;array&#41;
-    @inbounds array&#91;i&#93; &#61; value
-  end
-  return
-enda &#61; MtlArray&#123;Float32&#125;&#40;undef, 512&#41;
-@metal threads&#61;512 grid&#61;2 memset_kernel&#40;a, 42&#41;# verify
-@assert all&#40;isequal&#40;42&#41;, Array&#40;a&#41;&#41;</code></pre>
-<p>As can be seen here, we&#39;ve opted to deviate slightly from the Metal Shading Language, instead providing a programming experience that&#39;s similar to Julia&#39;s existing back-ends. Some key differences:</p>
-<ul>
-<li><p>we use intrinsic functions instead of special kernel function arguments to access properties like the thread position, grid size, ...;</p>
-</li>
-<li><p>all types of arguments &#40;buffers, indirect buffers, value-typed inputs&#41; are transparently converted to a GPU-compatible structure<sup id="fnref:1">[1]</sup>;</p>
-</li>
-<li><p>global &#40;task-bound&#41; state is used to keep track of the active device and a queue;</p>
-</li>
-<li><p>compute pipeline set-up and command encoding is hidden behind a single macro.</p>
-</li>
-</ul>
-<p>Behind the scenes, we compile Julia to LLVM IR and use a <a href="https://github.com/JuliaGPU/llvm-metal">tiny LLVM back-end</a> &#40;based on <a href="https://github.com/a2flo">@a2flo</a>&#39;s <a href="https://github.com/a2flo/floor">libfloor</a>&#41; that &#40;re&#41;writes the bitcode to a Metal-compatible library containing LLVM 5 bitcode. You can inspect the generated IR using <code>@device_code_metal</code>:</p>
-<pre><code class="language-julia">julia&gt; @device_code_metal @metal threads&#61;512 grid&#61;2 memset_kernel&#40;a, 42&#41;</code></pre>
-<pre><code class="language-text">&#91;header&#93;
-program_count: 1
-...&#91;program&#93;
-name: julia_memset_kernel
-type: kernel
-...</code></pre>
-<pre><code class="language-llvm">target datalayout &#61; &quot;...&quot;
-target triple &#61; &quot;air64-apple-macosx13.0.0&quot;; the &#40;rewritten&#41; kernel function:
-;  - &#37;value argument passed by reference
-;  - &#37;thread_position_in_grid argument added
-;  - sitofp rewritten to AIR-specific intrinsic
-define void @julia_memset_kernel&#40;
-    &#123; i8 addrspace&#40;1&#41;*, &#91;1 x i64&#93; &#125; addrspace&#40;1&#41;* &#37;array,
-    i64 addrspace&#40;1&#41;* &#37;value,
-    i32 &#37;thread_position_in_grid&#41; &#123;
-  ...
-  &#37;9 &#61; tail call float @air.convert.f.f32.s.i64&#40;i64 &#37;7&#41;
-  ...
-  ret void
-&#125;; minimal required argument metadata
-&#33;air.kernel &#61; &#33;&#123;&#33;10&#125;
-&#33;10 &#61; &#33;&#123;void &#40;&#123; i8 addrspace&#40;1&#41;*, &#91;1 x i64&#93; &#125; addrspace&#40;1&#41;*,
-              i64 addrspace&#40;1&#41;*, i32&#41;* @julia_memset_kernel, &#33;11, &#33;12&#125;
-&#33;12 &#61; &#33;&#123;&#33;13, &#33;14, &#33;15&#125;
-&#33;13 &#61; &#33;&#123;i32 0, &#33;&quot;air.buffer&quot;, &#33;&quot;air.location_index&quot;, i32 0, i32 1,
-       &#33;&quot;air.read_write&quot;, &#33;&quot;air.address_space&quot;, i32 1,
-       &#33;&quot;air.arg_type_size&quot;, i32 16, &#33;&quot;air.arg_type_align_size&quot;, i32 8&#125;
-&#33;14 &#61; &#33;&#123;i32 1, &#33;&quot;air.buffer&quot;, &#33;&quot;air.location_index&quot;, i32 1, i32 1,
-       &#33;&quot;air.read_write&quot;, &#33;&quot;air.address_space&quot;, i32 1,
-       &#33;&quot;air.arg_type_size&quot;, i32 8, &#33;&quot;air.arg_type_align_size&quot;, i32 8&#125;
-&#33;15 &#61; &#33;&#123;i32 0, &#33;&quot;air.thread_position_in_grid&quot;&#125;; other metadata not shown, for brevity</code></pre>
-<p>Shout-out to <a href="https://github.com/max-Hawkins">@max-Hawkins</a> for exploring Metal code generation during his internship at Julia Computing&#33;</p>
-<h2 id="metal_apis_in_julia">Metal APIs in Julia</h2>
-<p>Lacking an Objective C or C&#43;&#43; FFI, we interface with the Metal libraries using <a href="https://github.com/recp/cmt">a shim C library</a>. Most users won&#39;t have to interface with Metal directly – the array abstraction is sufficient for many – but more experienced developers can make use of the high-level wrappers that we&#39;ve designed for the Metal APIs:</p>
-<pre><code class="language-julia">julia&gt; dev &#61; MtlDevice&#40;1&#41;
-MtlDevice:
-  name:             Apple M1 Pro
-  lowpower:         false
-  headless:         false
-  removable:        false
-  unified memory:   truejulia&gt; desc &#61; MtlHeapDescriptor&#40;&#41;
-MtlHeapDescriptor:
-  type:             MtHeapTypeAutomatic
-  storageMode:      MtStorageModePrivate
-  size:             0julia&gt; desc.size &#61; 16384
-16384julia&gt; heap &#61; MtlHeap&#40;dev, desc&#41;
-MtlHeap:
-  type:                 MtHeapTypeAutomatic
-  size:                 16384
-  usedSize:             0
-  currentAllocatedSize: 16384# etc</code></pre>
-<p>These wrappers are based on <a href="https://github.com/PhilipVinc">@PhilipVinc</a>&#39;s excellent work on MetalCore.jl, which formed the basis for &#40;and has been folded into&#41; Metal.jl.</p>
-<h2 id="whats_next">What&#39;s next?</h2>
-<p>The current release of Metal.jl focusses on code generation capabilities, and is meant as a preview for users and developers to try out on their system or with their specific GPU application. It is not production-ready yet, and is lacking some crucial features:</p>
-<ul>
-<li><p>performance optimization</p>
-</li>
-<li><p>integration with Metal Performance Shaders</p>
-</li>
-<li><p>integration / documentation for use with Xcode tools</p>
-</li>
-<li><p>fleshing out the array abstraction based on user feedback</p>
-</li>
-</ul>
-<p><strong>Please consider helping out with any of these&#33;</strong> Since Metal.jl and its dependencies are almost entirely implemented in Julia, any experience with the language is sufficient to contribute. If you&#39;re not certain, or have any questions, please drop by the <code>#gpu</code> channel on <a href="https://julialang.org/slack/">the JuliaLang Slack</a>, ask questions on our <a href="https://discourse.julialang.org/c/domain/gpu/11">Discourse</a>, or chat to us during the <a href="https://julialang.org/community/#events">GPU office hours</a> every other Monday.</p>
-<p>If you encounter any bugs, feel free to let us know on the <a href="https://github.com/JuliaGPU/Metal.jl/issues">Metal.jl issue tracker</a>. For information on upcoming releases, <a href="https://juliagpu.org/post/">subscribe</a> to this website&#39;s blog where we post about significant developments in Julia&#39;s GPU ecosystem.</p>
-<hr />
-<p><table class="fndef" id="fndef:1">
-    <tr>
-        <td class="fndef-backref">[1]</td>
-        <td class="fndef-content">This relies on Metal 3 from macOS 13, which introduced bindless argument</td>
-    </tr>
-</table>
-      buffers, as we didn&#39;t fully figure out how to reliably encode       arbitrarily-nested indirect buffers in argument encoder metadata.</p>
-]]></content:encoded>
-    
-  <pubDate>Fri, 24 Jun 2022 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[oneAPI.jl status update]]></title>
-  <link>https://juliagpu.org/post/2022-04-06-oneapi_update/index.html</link>
-  <guid>https://juliagpu.org/2022-04-06-oneapi_update/</guid>
-  <description><![CDATA[It has been over a year since the last update on oneAPI.jl, the Julia package for programming Intel GPUs &#40;and other accelerators&#41; using the oneAPI toolkit. Since then, the package has been under steady development, and several new features have been added to improve the developer experience and usability of the package.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>It has been over a year since the last update on oneAPI.jl, the Julia package for programming Intel GPUs &#40;and other accelerators&#41; using the oneAPI toolkit. Since then, the package has been under steady development, and several new features have been added to improve the developer experience and usability of the package.</p>
-<h2 id="atomic_intrinsics"><code>@atomic</code> intrinsics</h2>
-<p>oneAPI.jl <a href="https://github.com/JuliaGPU/oneAPI.jl/pull/85">now supports</a> atomic operations, which are required to implement a variety of parallel algorithms. Low-level atomic functions &#40;<code>atomic_add&#33;</code>, <code>atomic_xchg&#33;</code>, etc&#41; are available as unexported methods in the oneAPI module:</p>
-<pre><code class="language-julia">a &#61; oneArray&#40;Int32&#91;0&#93;&#41;function kernel&#40;a&#41;
-    oneAPI.atomic_add&#33;&#40;pointer&#40;a&#41;, Int32&#40;1&#41;&#41;
-    return
-end@oneapi items&#61;256 kernel&#40;a&#41;
-@test Array&#40;a&#41;&#91;1&#93; &#61;&#61; 256</code></pre>
-<p>Note that these methods are only available for those types that are supported by the underlying OpenCL intrinsics. For example, the <code>atomic_add&#33;</code> from above can only be used with <code>Int32</code> and <code>UInt32</code> inputs.</p>
-<p>Most users will instead rely on the higher-level <code>@atomic</code> macro, which can be easily put in front of many array operations to make them behave atomically. To avoid clashing with the new <code>@atomic</code> macro in Julia 1.7, this macro is also unexported:</p>
-<pre><code class="language-julia">a &#61; oneArray&#40;Int32&#91;0&#93;&#41;function kernel&#40;a&#41;
-    oneAPI.@atomic a&#91;1&#93; &#43;&#61; Int32&#40;1&#41;
-    return
-end@oneapi items&#61;256 kernel&#40;a&#41;
-@test Array&#40;a&#41;&#91;1&#93; &#61;&#61; 512</code></pre>
-<p>When used with operations that are supported by OpenCL, this macro will lower to calls like <code>atomic_add&#33;</code>. For other operations, a compare-and-exchange loop will be used. Note that for now, this is still restricted to 32-bit operations, as we do not support the <code>cl_khr_int64_base_atomics</code> extension for 64-bit atomics.</p>
-<h2 id="initial_integration_with_vendor_libraries">Initial integration with vendor libraries</h2>
-<p>One significant missing features is the integration with vendor libraries like oneMKL. These integrations are required to ensure good performance for important operations like matrix multiplication, which currently fall-back to generic implementations in Julia that may not always perform as good.</p>
-<p>To improve this situation, we <a href="https://github.com/JuliaGPU/oneAPI.jl/pull/97">are working on</a> a wrapper library that allows us to integrate with oneMKL and other oneAPI and SYCL libraries. Currently, only matrix multiplication is supported, but once the infrastructural issues are worked out we expect to quickly support many more operations.</p>
-<p>If you need support for specific libraries, please have a look at this PR. As the API surface is significant, we will need help to extend the wrapper library and integrate it with high-level Julia libraries like LinearAlgebra.jl.</p>
-<h2 id="correctness_issues">Correctness issues</h2>
-<p>In porting existing Julia GPU applications to oneAPI.jl, we fixed several issues that caused correctness issues when executing code on Intel GPUs:</p>
-<ul>
-<li><p>when the garbage collector frees GPU memory, <a href="https://github.com/JuliaGPU/oneAPI.jl/pull/157">it now blocks</a> until all outstanding commands &#40;which may include uses of said memory&#41; are completes</p>
-</li>
-<li><p>the <code>barrier</code> function to synchronize threads <a href="https://github.com/JuliaGPU/oneAPI.jl/pull/162">is now</a> marked as <code>convert</code> to avoid LLVM miscompilations</p>
-</li>
-</ul>
-<p>Note that if you are using Tiger Lake hardware, there is currently a <a href="https://github.com/intel/compute-runtime/issues/522">known issue</a> in the back-end Intel compiler that affects oneAPI.jl, causing correctness issues that can be spotted by running the oneAPI.jl test suite.</p>
-<h2 id="future_work">Future work</h2>
-<p>To significantly improve usability of oneAPI.jl, we will add support to the KernelAbstraction.jl package. This library is used by <a href="https://juliahub.com/ui/Packages/KernelAbstractions/aywHT/0.7.2?page&#61;2">many other packages</a> for adding GPU acceleration to algorithms that cannot be easily expressed using only array operations. As such, support for oneAPI.jl will make it possible to use your oneAPI GPUs with all of these packages.</p>
-]]></content:encoded>
-    
-  <pubDate>Wed, 06 Apr 2022 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[CUDA.jl 3.5-3.8]]></title>
-  <link>https://juliagpu.org/post/2022-01-28-cuda_3.5_3.8/index.html</link>
-  <guid>https://juliagpu.org/2022-01-28-cuda_3.5_3.8/</guid>
-  <description><![CDATA[CUDA.jl versions 3.5 to 3.8 have brought several new features to improve performance and productivity. This blog post will highlight a couple: direct copies between devices, better performance by preserving array index types and changing the memory pool, and a much-improved interface to the compute sanitizer utility.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>CUDA.jl versions 3.5 to 3.8 have brought several new features to improve performance and productivity. This blog post will highlight a couple: direct copies between devices, better performance by preserving array index types and changing the memory pool, and a much-improved interface to the compute sanitizer utility.</p>
-<h2 id="copies_between_devices">Copies between devices</h2>
-<p>Typically, when sending data between devices you need to stage through the CPU. CUDA.jl <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1284">now does this automatically</a>, making it possible to directly copy between <code>CuArray</code>s on different devices:</p>
-<pre><code class="language-julia-repl">julia&gt; device&#33;&#40;0&#41;;julia&gt; a &#61; CUDA.rand&#40;2,2&#41;
-2×2 CuArray&#123;Float32, 2, CUDA.Mem.DeviceBuffer&#125;:
- 0.440147  0.986939
- 0.622901  0.698119julia&gt; device&#33;&#40;1&#41;;julia&gt; b &#61; CUDA.zeros&#40;2,2&#41;;julia&gt; copyto&#33;&#40;b, a&#41;
-2×2 CuArray&#123;Float32, 2, CUDA.Mem.DeviceBuffer&#125;:
- 0.440147  0.986939
- 0.622901  0.698119</code></pre>
-<p>When your hardware supports it, CUDA.jl will automatically enable so-called peer-to-peer mode, making it possible to copy data directly without going through the CPU. This can result in significant bandwidth and latency reductions. You can check if this mode of communication is possible:</p>
-<pre><code class="language-julia-repl">julia&gt; src &#61; CuDevice&#40;0&#41;
-CuDevice&#40;0&#41;: NVIDIA A100-PCIE-40GBjulia&gt; dst &#61; CuDevice&#40;1&#41;
-CuDevice&#40;1&#41;: Tesla V100-PCIE-32GBjulia&gt; can_access_peer&#40;src, dst&#41;
-false</code></pre>
-<p>In this case, peer-to-peer communication is not possible because the devices have a different compute capability major revision number. With a compatible device, the function reports <code>true</code>:</p>
-<pre><code class="language-julia">julia&gt; src &#61; CuDevice&#40;1&#41;
-CuDevice&#40;1&#41;: Tesla V100-PCIE-32GBjulia&gt; dst &#61; CuDevice&#40;2&#41;
-CuDevice&#40;2&#41;: Tesla V100-PCIE-16GBjulia&gt; can_access_peer&#40;src, dst&#41;
-true</code></pre>
-<p>Thanks to <a href="https://github.com/kshyatt">@kshyatt</a> for help with this change&#33;</p>
-<h2 id="helper_function_to_use_compute-sanitizer">Helper function to use <code>compute-sanitizer</code></h2>
-<p>The CUDA toolkit comes with a powerful tool to check GPU kernels for common issues like memory errors and race conditions: the <a href="https://docs.nvidia.com/compute-sanitizer/ComputeSanitizer/index.html">compute sanitizer</a>. To make it easier to use this tool, CUDA.jl now ships the binary as part of its artifacts, and <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1340">provides a helper function</a> to restart Julia under the <code>compute-sanitizer</code>. Let&#39;s demonstrate, and trigger a memory error to show what the compute sanitizer can detect:</p>
-<pre><code class="language-julia-repl">julia&gt; using CUDAjulia&gt; CUDA.run_compute_sanitizer&#40;&#41;
-Re-starting your active Julia session...&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61; COMPUTE-SANITIZER
-julia&gt; using CUDAjulia&gt; unsafe_wrap&#40;CuArray, pointer&#40;CuArray&#40;&#91;1&#93;&#41;&#41;, 2&#41; .&#61; 1
-&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61; Invalid __global__ write of size 8 bytes
-&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;     at 0x2a0 in LLVM/src/interop/base.jl:45:julia_broadcast_kernel_1892&#40;CuKernelContext, CuDeviceArray&lt;Int64, &#40;int&#41;1, &#40;int&#41;1&gt;, Broadcasted&lt;void, Tuple&lt;OneTo&lt;Int64&gt;&gt;, _identity, Broadcasted&lt;Int64&gt;&gt;, Int64&#41;
-&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;     by thread &#40;1,0,0&#41; in block &#40;0,0,0&#41;
-&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;     Address 0xa64000008 is out of bounds
-&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;&#61;     and is 1 bytes after the nearest allocation at 0xa64000000 of size 8 bytes</code></pre>
-<p>Other tools are available too, e.g. <code>racecheck</code> for detecting races or <code>synccheck</code> for finding synchronization issues. These tools can be selected using the <code>tool</code> keyword argument to <code>run_compute_sanitizer</code>.</p>
-<h2 id="updated_binary_dependencies">Updated binary dependencies</h2>
-<p>As is common with every release, CUDA.jl now supports newer versions of NVIDIA&#39;s tools and libraries:</p>
-<ul>
-<li><p>CUDA toolkit <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1256">11.5</a> and <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1326">11.6</a></p>
-</li>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/1328">CUDNN 8.3.2</a></p>
-</li>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/1327">CUTENSOR 1.4.0</a></p>
-</li>
-</ul>
-<p>The update to CUDA toolkit 11.6 comes with improved debug info compatibility. If you need to debug Julia GPU code with tools like <code>compute-sanitizer</code> or <code>cuda-gdb</code>, and you need debug info &#40;the equivalent of <code>nvcc -G</code>&#41;, ensure CUDA.jl can use the latest version of the CUDA toolkit.</p>
-<p>To make it easier to use the latest supported toolkit, CUDA.jl <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1182">now implements</a> CUDA&#39;s so-called <strong>Forward Compatibility mode</strong>: When your driver is outdated, CUDA.jl will attempt to load a newer version of the CUDA driver library, enabling use of a newer CUDA toolkit and libraries. Note that this is only supported on select hardware, refer to <a href="https://docs.nvidia.com/deploy/cuda-compatibility/#forward-compatibility-title">the NVIDIA documentation</a> for more details.</p>
-<h2 id="preserving_array_indices">Preserving array indices</h2>
-<p>Julia&#39;s integers are typically 64-bits wide, which can be wasteful when dealing with GPU indexing intrinsics that are typically only 32-bits wide. CUDA.jl&#39;s device array type <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1153">now carefully preserves the type of indices</a> so that 32-bits indices aren&#39;t unnecessarily promoted to 64-bits. With some careful kernel programming &#40;note the use of <code>0x1</code> instead of <code>1</code> below&#41;, this makes it possible to significantly reduce the register pressure surrounding indexing operations, which may be useful in register-constrained situations:</p>
-<pre><code class="language-julia-repl">julia&gt; function memset&#40;arr, val&#41;
-           i &#61; &#40;blockIdx&#40;&#41;.x-0x1&#41; * blockDim&#40;&#41;.x &#43; threadIdx&#40;&#41;.x
-           @inbounds arr&#91;i&#93; &#61; val
-           return
-       endjulia&gt; CUDA.code_ptx&#40;memset, Tuple&#123;CuDeviceArray&#123;Float32,1,AS.Global&#125;,Float32&#125;&#41;
-.func julia_memset&#40;.param .b64 arr, .param .b32 val&#41; &#123;
-        .reg .f32       &#37;f&lt;2&gt;;
-        .reg .b32       &#37;r&lt;5&gt;;
-        .reg .b64       &#37;rd&lt;5&gt;;        ld.param.u64    &#37;rd1, &#91;arr&#93;;
-        ld.param.f32    &#37;f1, &#91;val&#93;;
-        mov.u32         &#37;r1, &#37;ctaid.x;
-        mov.u32         &#37;r2, &#37;ntid.x;
-        mov.u32         &#37;r3, &#37;tid.x;
-        mad.lo.s32      &#37;r4, &#37;r2, &#37;r1, &#37;r3;
-        ld.u64          &#37;rd2, &#91;&#37;rd1&#93;;
-        mul.wide.s32    &#37;rd3, &#37;r4, 4;
-        add.s64         &#37;rd4, &#37;rd2, &#37;rd3;
-        st.global.f32   &#91;&#37;rd4&#93;, &#37;f1;
-        ret;
-&#125;</code></pre>
-<p>On CUDA.jl 3.4, this simple function used 3 more 64-bit registers:</p>
-<pre><code class="language-julia">.func julia_memset&#40;.param .b64 arr, .param .b32 val&#41; &#123;
-        .reg .f32       &#37;f&lt;2&gt;;
-        .reg .b32       &#37;r&lt;5&gt;;
-        .reg .b64       &#37;rd&lt;8&gt;;        ld.param.u64    &#37;rd1, &#91;arr&#93;;
-        ld.param.f32    &#37;f1, &#91;val&#93;;
-        mov.u32         &#37;r1, &#37;ctaid.x;
-        mov.u32         &#37;r2, &#37;ntid.x;
-        mul.wide.u32    &#37;rd2, &#37;r2, &#37;r1;
-        mov.u32         &#37;r3, &#37;tid.x;
-        add.s32         &#37;r4, &#37;r3, 1;
-        cvt.u64.u32     &#37;rd3, &#37;r4;
-        ld.u64          &#37;rd4, &#91;&#37;rd1&#93;;
-        add.s64         &#37;rd5, &#37;rd2, &#37;rd3;
-        shl.b64         &#37;rd6, &#37;rd5, 2;
-        add.s64         &#37;rd7, &#37;rd4, &#37;rd6;
-        st.global.f32   &#91;&#37;rd7&#43;-4&#93;, &#37;f1;
-        ret;
-&#125;</code></pre>
-<h2 id="more_aggressive_memory_management">More aggressive memory management</h2>
-<p>Starting with CUDA 3.8, the memory pool used to allocate <code>CuArray</code>s will be configured differently: The pool will now be <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1344">allowed to use all available GPU memory</a>, whereas previously all cached memory was released at each synchronization point. This can significantly improve performance, and makes synchronization much cheaper.</p>
-<p>This behavior can be observed by calling the <code>memory_status&#40;&#41;</code> function:</p>
-<pre><code class="language-julia-repl">julia&gt; CUDA.memory_status&#40;&#41;
-Effective GPU memory usage: 13.57&#37; &#40;2.001 GiB/14.751 GiB&#41;
-Memory pool usage: 0 bytes &#40;0 bytes reserved&#41;julia&gt; a &#61; CuArray&#123;Float32&#125;&#40;undef, &#40;1024, 1024, 1024&#41;&#41;;
-julia&gt; Base.format_bytes&#40;sizeof&#40;a&#41;&#41;
-&quot;4.000 GiB&quot;julia&gt; a &#61; nothing
-julia&gt; GC.gc&#40;&#41;julia&gt; CUDA.memory_status&#40;&#41;
-Effective GPU memory usage: 40.59&#37; &#40;5.988 GiB/14.751 GiB&#41;
-Memory pool usage: 0 bytes &#40;4.000 GiB reserved&#41;</code></pre>
-<p>So far nothing new. On previous versions of CUDA.jl however, any subsequent synchronization of the GPU &#40;e.g., by copying memory to the CPU&#41; would have resulted in a release of this reserved memory. This is not the case anymore:</p>
-<pre><code class="language-julia-repl">julia&gt; synchronize&#40;&#41;julia&gt; CUDA.memory_status&#40;&#41;
-Effective GPU memory usage: 40.59&#37; &#40;5.988 GiB/14.751 GiB&#41;
-Memory pool usage: 0 bytes &#40;4.000 GiB reserved&#41;</code></pre>
-<p>If you still want to release this memory, you can call the <code>reclaim&#40;&#41;</code> function:</p>
-<pre><code class="language-julia-repl">julia&gt; CUDA.reclaim&#40;&#41;julia&gt; CUDA.memory_status&#40;&#41;
-Effective GPU memory usage: 13.48&#37; &#40;1.988 GiB/14.751 GiB&#41;
-Memory pool usage: 0 bytes &#40;0 bytes reserved&#41;</code></pre>
-<p>With interactive Julia sessions, this function is called periodically so that the GPU&#39;s memory isn&#39;t held on to unnecessarily. Otherwise it shouldn&#39;t be necessary to call this function, as memory is freed automatically when it is needed.</p>
-<h2 id="minor_changes_and_improvements">Minor changes and improvements</h2>
-<ul>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/1217">Bitonic sort</a> is now used instead of quicksort &#40;by <a href="https://github.com/xaellison">@xaellison</a>&#41;.</p>
-</li>
-<li><p><code>CuDeviceArray</code> <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1303">now stores the length of the array</a>, greatly speeding up indexing with high-dimensional arrays.</p>
-</li>
-<li><p>Device intrinsics <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1305">cannot be called on the CPU anymore</a>, protecting against segfaults when something isn&#39;t dispatching correctly.</p>
-</li>
-<li><p>Support for Multi-GPU instances <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1199">has been improved</a>, providing the <code>parent_uuid</code> function to look up the UUID of the parent device.</p>
-</li>
-<li><p><code>randn</code> and <code>randexp</code> <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1236">are now supported in kernel code</a>, which should help with initial support of Distributions.jl-based operations.</p>
-</li>
-</ul>
-]]></content:encoded>
-    
-  <pubDate>Fri, 28 Jan 2022 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[CUDA.jl 3.4]]></title>
-  <link>https://juliagpu.org/post/2021-08-13-cuda_3.4/index.html</link>
-  <guid>https://juliagpu.org/2021-08-13-cuda_3.4/</guid>
-  <description><![CDATA[The latest version of CUDA.jl brings several new features, from improved atomic operations to initial support for arrays with unified memory. The native random number generator introduced in CUDA.jl 3.0 is now the default fallback, and support for memory pools other than the CUDA stream-ordered one has been removed.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>The latest version of CUDA.jl brings several new features, from improved atomic operations to initial support for arrays with unified memory. The native random number generator introduced in CUDA.jl 3.0 is now the default fallback, and support for memory pools other than the CUDA stream-ordered one has been removed.</p>
-<h2 id="streamlined_atomic_operations">Streamlined atomic operations</h2>
-<p>In preparation of integrating with the new standard <code>@atomic</code> macro introduced in Julia 1.7, we have <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1059">streamlined the capabilities of atomic operations in CUDA.jl</a>. The API is now split into two levels: low-level <code>atomic_</code> methods for atomic functionality that&#39;s directly supported by the hardware, and a high-level <code>@atomic</code> macro that tries to perform operations natively or falls back to a loop with compare-and-swap. This fall-back implementation makes it possible to use more complex operations that do not map onto a single atomic operation:</p>
-<pre><code class="language-julia-repl">julia&gt; a &#61; CuArray&#40;&#91;1&#93;&#41;;julia&gt; function kernel&#40;a&#41;
-         CUDA.@atomic a&#91;&#93; &lt;&lt;&#61; 1
-         return
-       endjulia&gt; @cuda threads&#61;16 kernel&#40;a&#41;julia&gt; a
-1-element CuArray&#123;Int64, 1, CUDA.Mem.DeviceBuffer&#125;:
- 65536julia&gt; 1&lt;&lt;16
-65536</code></pre>
-<p>The only requirement is that the types being used are supported by <code>CUDA.atomic_cas&#33;</code>. This includes common types like 32 and 64-bit integers and floating-point numbers, as well as 16-bit numbers on devices with compute capability 7.0 or higher.</p>
-<p>Note that on Julia 1.7 and higher, CUDA.jl <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1097">does not export the <code>@atomic</code> macro anymore</a> to avoid conflicts with the version in Base. That means it is recommended to always fully specify uses of the macro, i.e., use <code>CUDA.@atomic</code> as in the example above.</p>
-<h2 id="arrays_with_unified_memory">Arrays with unified memory</h2>
-<p>You may have noticed that the <code>CuArray</code> type in the example above included an additional parameter, <code>Mem.DeviceBuffer</code>. This has been introduced to support arrays backed by different kinds of buffers. By default, we will use an ordinary device buffer, but it&#39;s now possible to <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1023">allocate arrays backed by unified buffers</a> that can be used on multiple devices:</p>
-<pre><code class="language-julia-repl">julia&gt; a &#61; cu&#40;&#91;0&#93;; unified&#61;true&#41;
-1-element CuArray&#123;Int64, 1, CUDA.Mem.UnifiedBuffer&#125;:
- 0julia&gt; a .&#43;&#61; 1
-1-element CuArray&#123;Int64, 1, CUDA.Mem.UnifiedBuffer&#125;:
- 1julia&gt; device&#33;&#40;1&#41;julia&gt; a .&#43;&#61; 1
-1-element CuArray&#123;Int64, 1, CUDA.Mem.UnifiedBuffer&#125;:
- 2</code></pre>
-<p>Although all operations should work equally well with arrays backed by unified memory, they have not been optimized yet. For example, copying memory to the device could be avoided as the driver can automatically page in unified memory on-demand.</p>
-<h2 id="new_default_random_number_generator">New default random number generator</h2>
-<p>CUDA.jl 3.0 introduced a new random number generator, and starting with CUDA.jl 3.2 performance and quality of this generator was improved up to the point it could be used by applications. A couple of features were still missing though, such as generating normally-distributed random numbers, or support for complex numbers. These features have been <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1082">added in CUDA.jl 3.3</a>, and the generator is now used as the default fallback when CURAND does not support the requested element types.</p>
-<p>Both the performance and quality of this generator is much better than the previous, GPUArrays.jl-based one:</p>
-<pre><code class="language-julia-repl">julia&gt; using BenchmarkTools
-julia&gt; cuda_rng &#61; CUDA.RNG&#40;&#41;;
-julia&gt; gpuarrays_rng &#61; GPUArrays.default_rng&#40;CuArray&#41;;
-julia&gt; a &#61; CUDA.zeros&#40;1024,1024&#41;;julia&gt; @benchmark CUDA.@sync rand&#33;&#40;&#36;cuda_rng, &#36;a&#41;
-BenchmarkTools.Trial: 10000 samples with 1 evaluation.
- Range &#40;min … max&#41;:  17.040 μs …  2.430 ms  ┊ GC &#40;min … max&#41;: 0.00&#37; … 99.04&#37;
- Time  &#40;median&#41;:     18.500 μs              ┊ GC &#40;median&#41;:    0.00&#37;
- Time  &#40;mean ± σ&#41;:   20.604 μs ± 34.734 μs  ┊ GC &#40;mean ± σ&#41;:  1.17&#37; ±  0.99&#37;         ▃▆█▇▇▅▄▂▁
-  ▂▂▂▃▄▆███████████▇▆▆▅▅▄▄▄▃▃▃▃▃▃▃▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▁▂▂ ▄
-  17 μs           Histogram: frequency by time        24.1 μs &lt;julia&gt; @benchmark CUDA.@sync rand&#33;&#40;&#36;gpuarrays_rng, &#36;a&#41;
-BenchmarkTools.Trial: 10000 samples with 1 evaluation.
- Range &#40;min … max&#41;:  72.489 μs …  2.790 ms  ┊ GC &#40;min … max&#41;: 0.00&#37; … 98.44&#37;
- Time  &#40;median&#41;:     74.479 μs              ┊ GC &#40;median&#41;:    0.00&#37;
- Time  &#40;mean ± σ&#41;:   81.211 μs ± 61.598 μs  ┊ GC &#40;mean ± σ&#41;:  0.67&#37; ±  1.40&#37;  █                                                           ▁
-  █▆▃▁▃▃▅▆▅▁▁▁▁▁▃▁▁▁▁▁▁▁▁▁▁▁▄▆▁▁▁▁▁▁▁▁▄▄▃▄▃▁▁▁▁▁▁▁▁▁▃▃▄▆▄▁▄▃▆ █
-  72.5 μs      Histogram: log&#40;frequency&#41; by time       443 μs &lt;</code></pre>
-<pre><code class="language-julia-repl">julia&gt; using RNGTest
-julia&gt; test_cuda_rng &#61; RNGTest.wrap&#40;cuda_rng, UInt32&#41;;
-julia&gt; test_gpuarrays_rng &#61; RNGTest.wrap&#40;gpuarrays_rng, UInt32&#41;;julia&gt; RNGTest.smallcrushTestU01&#40;test_cuda_rng&#41;
- All tests were passedjulia&gt; RNGTest.smallcrushTestU01&#40;test_gpuarrays_rng&#41;
- The following tests gave p-values outside &#91;0.001, 0.9990&#93;:       Test                          p-value
- ----------------------------------------------
-  1  BirthdaySpacings                 eps
-  2  Collision                        eps
-  3  Gap                              eps
-  4  SimpPoker                       1.0e-4
-  5  CouponCollector                  eps
-  6  MaxOft                           eps
-  7  WeightDistrib                    eps
- 10  RandomWalk1 M                   6.0e-4
- ----------------------------------------------
- &#40;eps  means a value &lt; 1.0e-300&#41;:</code></pre>
-<h2 id="removal_of_old_memory_pools">Removal of old memory pools</h2>
-<p>With the new stream-ordered allocator, caching memory allocations at the CUDA library level, much of the need for memory pools to cache memory allocations has disappeared. To simplify the allocation code, we have <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1015">removed support for those Julia-managed memory pools</a> &#40;i.e., <code>binned</code>, <code>split</code> and <code>simple</code>&#41;. You can now only use the <code>cuda</code> memory pool, or use no pool at all by setting the <code>JULIA_CUDA_MEMORY_POOL</code> environment variable to <code>none</code>.</p>
-<p>Not using a memory pool degrades performance, so if you are stuck on an NVIDIA driver that does not support CUDA 11.2, it is advised to remain on CUDA.jl 3.3 until you can upgrade.</p>
-<p>Also note that the new stream-ordered allocator has <a href="https://github.com/JuliaGPU/CUDA.jl/issues/1053">turned out incompatible with legacy cuIpc APIs</a> as used by OpenMPI. If that applies to you, consider disabling the memory pool or reverting to CUDA.jl 3.3 if your application&#39;s allocation pattern benefits from a memory pool.</p>
-<p>Because of this, we will be maintaining CUDA.jl 3.3 longer than usual. All bug fixes in CUDA.jl 3.4 have already been backported to the previous release, which is currently at version 3.3.6.</p>
-<h2 id="device_capability-dependent_kernel_code">Device capability-dependent kernel code</h2>
-<p>Some of the improvements in this release depend on the ability to write generic code that only uses certain hardware features when they are available. To facilitate writing such code, the compiler now embeds metadata in the generated code that can be used to branch on.</p>
-<p>Currently, the device capability and PTX ISA version are embedded and made available using respectively the <code>compute_capability</code> and <code>ptx_isa_version</code> functions. A simplified version number type, constructable using the <code>sv&quot;...&quot;</code> string macro, can be used to test against these properties. For example:</p>
-<pre><code class="language-julia-repl">julia&gt; function kernel&#40;a&#41;
-           a&#91;&#93; &#61; compute_capability&#40;&#41; &gt;&#61; sv&quot;6.0&quot; ? 1 : 2
-           return
-       end
-kernel &#40;generic function with 1 method&#41;julia&gt; CUDA.code_llvm&#40;kernel, Tuple&#123;CuDeviceVector&#123;Float32, AS.Global&#125;&#125;&#41;
-define void @julia_kernel_1&#40;&#123; i8 addrspace&#40;1&#41;*, i64, &#91;1 x i64&#93; &#125;* &#37;0&#41; &#123;
-top:
-  &#37;1 &#61; bitcast &#123; i8 addrspace&#40;1&#41;*, i64, &#91;1 x i64&#93; &#125;* &#37;0 to float addrspace&#40;1&#41;**
-  &#37;2 &#61; load float addrspace&#40;1&#41;*, float addrspace&#40;1&#41;** &#37;1, align 8
-  store float 1.000000e&#43;00, float addrspace&#40;1&#41;* &#37;2, align 4
-  ret void
-&#125;julia&gt; capability&#40;device&#33;&#40;1&#41;&#41;
-v&quot;3.5.0&quot;julia&gt; CUDA.code_llvm&#40;kernel, Tuple&#123;CuDeviceVector&#123;Float32, AS.Global&#125;&#125;&#41;
-define void @julia_kernel_2&#40;&#123; i8 addrspace&#40;1&#41;*, i64, &#91;1 x i64&#93; &#125;* &#37;0&#41; &#123;
-top:
-  &#37;1 &#61; bitcast &#123; i8 addrspace&#40;1&#41;*, i64, &#91;1 x i64&#93; &#125;* &#37;0 to float addrspace&#40;1&#41;**
-  &#37;2 &#61; load float addrspace&#40;1&#41;*, float addrspace&#40;1&#41;** &#37;1, align 8
-  store float 2.000000e&#43;00, float addrspace&#40;1&#41;* &#37;2, align 4
-  ret void
-&#125;</code></pre>
-<p>The branch on the compute capability is completely optimized away. At the same time, this does not require re-inferring the function as the optimization happens at the LLVM level.</p>
-<h2 id="other_changes">Other changes</h2>
-<ul>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/1084">Support for CUDA 11.4 Update 1</a></p>
-</li>
-<li><p>Improved thread safety <a href="https://github.com/JuliaGPU/CUDA.jl/pull/993">&#91;1&#93;</a> <a href="https://github.com/JuliaGPU/CUDA.jl/pull/1074">&#91;2&#93;</a></p>
-</li>
-</ul>
-]]></content:encoded>
-    
-  <pubDate>Fri, 13 Aug 2021 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[CUDA.jl 3.3]]></title>
-  <link>https://juliagpu.org/post/2021-06-10-cuda_3.3/index.html</link>
-  <guid>https://juliagpu.org/2021-06-10-cuda_3.3/</guid>
-  <description><![CDATA[There have been several releases of CUDA.jl in the past couple of months, with many bugfixes and many exciting new features to improve GPU programming in Julia: &lt;code&gt;CuArray&lt;/code&gt; now supports isbits Unions, CUDA.jl can emit debug info for use with NVIDIA tools, and changes to the compiler make it even easier to use the latest version of the CUDA toolkit.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>There have been several releases of CUDA.jl in the past couple of months, with many bugfixes and many exciting new features to improve GPU programming in Julia: <code>CuArray</code> now supports isbits Unions, CUDA.jl can emit debug info for use with NVIDIA tools, and changes to the compiler make it even easier to use the latest version of the CUDA toolkit.</p>
-<h2 id="cuarray_support_for_isbits_unions"><code>CuArray</code> support for isbits Unions</h2>
-<p>Unions are a way to represent values of one type or another, e.g., a value that can be an integer or a floating point. If all possible element types of a Union are so-called bitstypes, which can be stored contiguously in memory, the Union of these types can be stored contiguously too. This kind of optimization is implemented by the Array type, which can store such &quot;isbits Unions&quot; inline, as opposed to storing a pointer to a heap-allocated box. For more details, refer to the <a href="https://docs.julialang.org/en/v1/devdocs/isbitsunionarrays/">Julia documentation</a>.</p>
-<p>With CUDA.jl 3.3, the CuArray GPU array type now <a href="https://github.com/JuliaGPU/CUDA.jl/pull/941">supports this optimization too</a>. That means you can safely allocate CuArrays with isbits union element types and perform GPU-accelerated operations on then:</p>
-<pre><code class="language-julia-repl">julia&gt; a &#61; CuArray&#40;&#91;1, nothing, 3&#93;&#41;
-3-element CuArray&#123;Union&#123;Nothing, Int64&#125;, 1&#125;:
- 1
-  nothing
- 3julia&gt; findfirst&#40;isnothing, a&#41;
-2</code></pre>
-<p>It is also safe to pass these CuArrays to a kernel and use unions there:</p>
-<pre><code class="language-julia-repl">julia&gt; function kernel&#40;a&#41;
-         i &#61; threadIdx&#40;&#41;.x
-         if a&#91;i&#93; &#33;&#61;&#61; nothing
-           a&#91;i&#93; &#43;&#61; 1
-         end
-         return
-       endjulia&gt; @cuda threads&#61;3 kernel&#40;a&#41;julia&gt; a
-3-element CuArray&#123;Union&#123;Nothing, Int64&#125;, 1&#125;:
- 2
-  nothing
- 4</code></pre>
-<p>This feature is especially valuable to represent missing values, and is an important step towards GPU support for DataFrames.jl.</p>
-<h2 id="debug_and_location_information">Debug and location information</h2>
-<p>Another noteworthy addition is the <a href="https://github.com/JuliaGPU/CUDA.jl/pull/891">support for emitting debug and location information</a>. The debug level, set by passing <code>-g &lt;level&gt;</code> to the <code>julia</code> executable, determines how much info is emitted. The default of level 1 only enables location information instructions which should not impact performance. Passing <code>-g0</code> disables this, while passing <code>-g2</code> also enables the output of DWARF debug information and compiles in debug mode.</p>
-<p>Location information is useful for a variety of reasons. Many tools, like the NVIDIA profilers, use it corelate instructions to source code:</p>
-<figure>
-  <img src="https://juliagpu.org/post/2021-06-10-cuda_3.3/nvvp.png" alt="NVIDIA Visual Profiler with source-code location information">
-</figure><p>Debug information can be used to debug compiled code using <code>cuda-gdb</code>:</p>
-<pre><code class="language-julia">&#36; cuda-gdb --args julia -g2 examples/vadd.jl
-&#40;cuda-gdb&#41; set cuda break_on_launch all
-&#40;cuda-gdb&#41; run
-&#91;Switching focus to CUDA kernel 0, grid 1, block &#40;0,0,0&#41;, thread &#40;0,0,0&#41;, device 0, sm 0, warp 0, lane 0&#93;
-macro expansion &#40;&#41; at .julia/packages/LLVM/hHQuD/src/interop/base.jl:74
-74                  Base.llvmcall&#40;&#40;&#36;ir,&#36;fn&#41;, &#36;rettyp, &#36;argtyp, &#36;&#40;args.args...&#41;&#41;&#40;cuda-gdb&#41; bt
-#0  macro expansion &#40;&#41; at .julia/packages/LLVM/hHQuD/src/interop/base.jl:74
-#1  macro expansion &#40;&#41; at .julia/dev/CUDA/src/device/intrinsics/indexing.jl:6
-#2  _index &#40;&#41; at .julia/dev/CUDA/src/device/intrinsics/indexing.jl:6
-#3  blockIdx_x &#40;&#41; at .julia/dev/CUDA/src/device/intrinsics/indexing.jl:56
-#4  blockIdx &#40;&#41; at .julia/dev/CUDA/src/device/intrinsics/indexing.jl:76
-#5  julia_vadd&lt;&lt;&lt;&#40;1,1,1&#41;,&#40;12,1,1&#41;&gt;&gt;&gt; &#40;a&#61;..., b&#61;..., c&#61;...&#41; at .julia/dev/CUDA/examples/vadd.jl:6&#40;cuda-gdb&#41; f 5
-#5  julia_vadd&lt;&lt;&lt;&#40;1,1,1&#41;,&#40;12,1,1&#41;&gt;&gt;&gt; &#40;a&#61;..., b&#61;..., c&#61;...&#41; at .julia/dev/CUDA/examples/vadd.jl:6
-6           i &#61; &#40;blockIdx&#40;&#41;.x-1&#41; * blockDim&#40;&#41;.x &#43; threadIdx&#40;&#41;.x&#40;cuda-gdb&#41; l
-1       using Test
-2
-3       using CUDA
-4
-5       function vadd&#40;a, b, c&#41;
-6           i &#61; &#40;blockIdx&#40;&#41;.x-1&#41; * blockDim&#40;&#41;.x &#43; threadIdx&#40;&#41;.x
-7           c&#91;i&#93; &#61; a&#91;i&#93; &#43; b&#91;i&#93;
-8           return
-9       end
-10</code></pre>
-<h2 id="improved_cuda_compatibility_support">Improved CUDA compatibility support</h2>
-<p>As always, new CUDA.jl releases come with updated support for the CUDA toolkit. CUDA.jl is now compatible with <a href="https://github.com/JuliaGPU/CUDA.jl/pull/858">CUDA 11.3</a>, as well as <a href="https://github.com/JuliaGPU/CUDA.jl/pull/945">CUDA 11.3 Update 1</a>. Users don&#39;t have to do anything to update to these versions, as CUDA.jl will automatically select and download the latest supported version.</p>
-<p>Of course, for CUDA.jl to use the latest versions of the CUDA toolkit, a sufficiently recent version of the NVIDIA driver is required. Before CUDA 11.0, the driver&#39;s CUDA compatibility was a strict lower bound, and every minor CUDA release required a driver update. CUDA 11.0 comes with an enhanced compatibility option that follows semantic versioning, e.g., CUDA 11.3 can be used on an NVIDIA driver that only supports up to CUDA 11.0. CUDA.jl now <a href="https://github.com/JuliaGPU/CUDA.jl/pull/936">follows semantic versioning</a> when selecting a compatible toolkit, making it easier to use the latest version of the CUDA toolkit in Julia.</p>
-<p>For those interested: Implementing semantic versioning required the CUDA.jl compiler to <a href="https://github.com/JuliaGPU/CUDA.jl/pull/892">use <code>ptxas</code> instead of the driver&#39;s embedded JIT</a> to generate GPU machine code. At the same time, many parts of CUDA.jl still use the CUDA driver APIs, so it&#39;s always recommended to keep your NVIDIA driver up-to-date.</p>
-<h2 id="high-level_graph_apis">High-level graph APIs</h2>
-<p>To overcome the cost of launching kernels, CUDA makes it possible to build computational graphs, and execute those graphs with less overhead than the underlying operations. In CUDA.jl we provide easy access to the APIs <a href="https://github.com/JuliaGPU/CUDA.jl/pull/877">to record and execute</a> these graphs:</p>
-<pre><code class="language-julia">A &#61; CUDA.zeros&#40;Int, 1&#41;# ensure the operation is compiled
-A .&#43;&#61; 1# capture
-graph &#61; capture&#40;&#41; do
-    A .&#43;&#61; 1
-end
-@test Array&#40;A&#41; &#61;&#61; &#91;1&#93;   # didn&#39;t change anything# instantiate and launch
-exec &#61; instantiate&#40;graph&#41;
-CUDA.launch&#40;exec&#41;
-@test Array&#40;A&#41; &#61;&#61; &#91;2&#93;# update and instantiate/launch again
-graph′ &#61; capture&#40;&#41; do
-    A .&#43;&#61; 2
-end
-update&#40;exec, graph′&#41;
-CUDA.launch&#40;exec&#41;
-@test Array&#40;A&#41; &#61;&#61; &#91;4&#93;</code></pre>
-<p>This sequence of operations is common enough that we provide a high-level <code>@captured</code> macro wraps that automatically records, updates, instantiates and launches the graph:</p>
-<pre><code class="language-julia">A &#61; CUDA.zeros&#40;Int, 1&#41;for i in 1:2
-    @captured A .&#43;&#61; 1
-end
-@test Array&#40;A&#41; &#61;&#61; &#91;2&#93;</code></pre>
-<h2 id="minor_changes_and_features">Minor changes and features</h2>
-<ul>
-<li><p>CUDA.jl <a href="https://github.com/JuliaGPU/CUDA.jl/pull/842">now supports</a> <code>@atomic</code> multiplication and division &#40;by @yuehhua&#41;</p>
-</li>
-<li><p>Several statistics functions <a href="https://github.com/JuliaGPU/CUDA.jl/pull/509">have been implemented</a> &#40;by @berquist&#41;</p>
-</li>
-<li><p>The device-side random number generator in <a href="https://github.com/JuliaGPU/CUDA.jl/pull/890">is now based on Philox2x</a>, greatly improving quality of randomness &#40;passing BigCrush&#41; while allowing calls to <code>rand&#40;&#41;</code> from divergent threads.</p>
-</li>
-<li><p>Dependent libraries like CUDNN and CUTENSOR <a href="https://github.com/JuliaGPU/CUDA.jl/pull/882">are now only downloaded and initialized</a> when they are used.</p>
-</li>
-<li><p>The <code>synchronize&#40;&#41;</code> function in <a href="https://github.com/JuliaGPU/CUDA.jl/pull/896">now first spins</a> before yielding and sleeping, to improve the latency of short-running operations.</p>
-</li>
-<li><p>Several additional operations are now supported on Float16 inputs, such as <a href="https://github.com/JuliaGPU/CUDA.jl/pull/904">CUSPARSE and CUBLAS</a> operations, and <a href="https://github.com/JuliaGPU/CUDA.jl/pull/871">various math intrinsics</a>.</p>
-</li>
-<li><p>Kepler support &#40;compute capability 3.5&#41; <a href="https://github.com/JuliaGPU/CUDA.jl/pull/923">has been reinstated</a> for the time being.</p>
-</li>
-</ul>
-]]></content:encoded>
-    
-  <pubDate>Thu, 10 Jun 2021 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[CUDA.jl 3.0]]></title>
-  <link>https://juliagpu.org/post/2021-04-09-cuda_3.0/index.html</link>
-  <guid>https://juliagpu.org/2021-04-09-cuda_3.0/</guid>
-  <description><![CDATA[CUDA.jl 3.0 is a significant, semi-breaking release that features greatly improved multi-tasking and multi-threading, support for CUDA 11.2 and its new memory allocator, compiler tooling for GPU method overrides, device-side random number generation and a completely revamped cuDNN interface.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>CUDA.jl 3.0 is a significant, semi-breaking release that features greatly improved multi-tasking and multi-threading, support for CUDA 11.2 and its new memory allocator, compiler tooling for GPU method overrides, device-side random number generation and a completely revamped cuDNN interface.</p>
-<h2 id="improved_multi-tasking_and_multi-threading">Improved multi-tasking and multi-threading</h2>
-<p>Before this release, CUDA operations were enqueued on a single global stream, and many of these operations &#40;like copying memory, or synchronizing execution&#41; were fully blocking. This posed difficulties when using multiple tasks to perform independent operations: Blocking operations prevent all tasks from making progress, and using the same stream introduces unintended dependencies on otherwise independend operations. <strong>CUDA.jl now uses <a href="https://github.com/JuliaGPU/CUDA.jl/pull/662">private streams for each Julia task</a>, and avoids blocking operations where possible, enabling task-based concurrent execution.</strong> It is also possible to use different devices on each task, and there is experimental support for executing those tasks from different threads.</p>
-<p>A <s>picture</s> snippet of code is worth a thousand words, so let&#39;s demonstrate using a computation that uses both a library function &#40;GEMM from CUBLAS&#41; and a native Julia broadcast kernel:</p>
-<pre><code class="language-julia">using CUDA, LinearAlgebrafunction compute&#40;a,b,c&#41;
-    mul&#33;&#40;c, a, b&#41;
-    broadcast&#33;&#40;sin, c, c&#41;
-    synchronize&#40;&#41;
-    c
-end</code></pre>
-<p>To execute multiple invocations of this function concurrently, we can simply use Julia&#39;s task-based programming interfaces and wrap each call to <code>compute</code> in an <code>@async</code> block. Then, we synchronize execution again by wrapping in a <code>@sync</code> block:</p>
-<pre><code class="language-julia">function iteration&#40;a,b,c&#41;
-    results &#61; Vector&#123;Any&#125;&#40;undef, 2&#41;
-    NVTX.@range &quot;computation&quot; @sync begin
-        @async begin
-            results&#91;1&#93; &#61; compute&#40;a,b,c&#41;
-        end
-        @async begin
-            results&#91;2&#93; &#61; compute&#40;a,b,c&#41;
-        end
-    end
-    NVTX.@range &quot;comparison&quot; Array&#40;results&#91;1&#93;&#41; &#61;&#61; Array&#40;results&#91;2&#93;&#41;
-end</code></pre>
-<p>The calls to the <code>@range</code> macro from NVTX, a submodule of CUDA.jl, will visualize the different phases of execution when we profile our program. We now invoke our function using some random data:</p>
-<pre><code class="language-julia">function main&#40;N&#61;1024&#41;
-    a &#61; CUDA.rand&#40;N,N&#41;
-    b &#61; CUDA.rand&#40;N,N&#41;
-    c &#61; CUDA.rand&#40;N,N&#41;    # make sure this data can be used by other tasks&#33;
-    synchronize&#40;&#41;    # warm-up
-    iteration&#40;a,b,c&#41;
-    GC.gc&#40;true&#41;    NVTX.@range &quot;main&quot; iteration&#40;a,b,c&#41;
-end</code></pre>
-<p>The snippet above illustrates one breaking aspect of this release: Because each task uses its own stream, <strong>you now need to synchronize when re-using data in another task.</strong> Although it is unlikely that any user code was relying on the old behavior, it is technically a breaking change, and as such we are bumping the major version of the CUDA.jl package.</p>
-<p>If we profile these our program using NSight Systems, we can see how the execution of both calls to <code>compute</code> was overlapped:</p>
-<figure>
-  <img src="https://juliagpu.org/post/2021-04-09-cuda_3.0/task_based_concurrency.png" alt="Overlapping execution on the GPU using task-based concurrency">
-</figure><p>The region highlighted in green was spent enqueueing operations from the CPU, which includes the call to <code>synchronize&#40;&#41;</code>. This used to be a blocking operation, whereas now it only synchronizes the task-local stream while yielding to the Julia scheduler so that it can continue execution on another task. <strong>For synchronizing the entire device, use the new <code>device_synchronize&#40;&#41;</code> function.</strong></p>
-<p>The remainder of computation was then spent executing kernels. Here, execution was overlapped, but that obviously depends on the exact characteristics of the computations and your GPU. Also note that copying to and from the CPU is always going to block for some time, unless the memory was page-locked. CUDA.jl <a href="https://github.com/JuliaGPU/CUDA.jl/pull/760">now supports</a> locking memory like that using the <code>pin</code> function; for more details refer to <a href="https://juliagpu.github.io/CUDA.jl/dev/usage/multitasking/">the CUDA.jl documentation on tasks and threads</a>.</p>
-<h2 id="cuda_112_and_stream-ordered_allocations">CUDA 11.2 and stream-ordered allocations</h2>
-<p>CUDA.jl now also fully supports CUDA 11.2, and it will default to using that version of the toolkit if your driver supports it. The release came with several new features, such as <a href="https://developer.nvidia.com/blog/enhancing-memory-allocation-with-new-cuda-11-2-features/">the new stream-ordered memory allocator</a>. Without going into details, it is now possible to asynchonously allocate memory, obviating much of the need to cache those allocations in a memory pool. Initial benchmarks have shown nice speed-ups from using this allocator, while lowering memory pressure and thus reducing invocations of the Julia garbage collector.</p>
-<p>When using CUDA 11.2, CUDA.jl will <a href="https://github.com/JuliaGPU/CUDA.jl/pull/679">default to the CUDA-backed memory pool</a> and disable its own caching layer. If you want to compare performance, you can still use the old allocator and caching memory pool by setting the <code>JULIA_CUDA_MEMORY_POOL</code> environment variable to, e.g. <code>binned</code>. On older versions of CUDA, the <code>binned</code> pool is still used by default.</p>
-<h2 id="gpu_method_overrides">GPU method overrides</h2>
-<p>With the new <code>AbstractInterpreter</code> functionality in Julia 1.6, it is now much easier to further customize the Base compiler. This has enabled us to develop <a href="https://github.com/JuliaGPU/GPUCompiler.jl/pull/151">a mechanism for overriding methods with GPU-specific counterparts</a>. It used to be required to explicitly pick CUDA-specific versions, e.g. <code>CUDA.sin</code>, because the Base version performed some GPU-incompatible operation. This was problematic as it did not compose with generic code, and the CUDA-specific versions often lacked support for specific combinations of argument types &#40;for example, <code>CUDA.sin&#40;::Complex&#41;</code> was not supported&#41;.</p>
-<p>With CUDA 3.0, it is possible to <strong>define GPU-specific methods that override an existing definition, without requiring a new function type</strong>. For now, this functionality is private to CUDA.jl, but we expect to make it available to other packages starting with Julia 1.7.</p>
-<p>This functionality has unblocked <em>many</em> issues, as can be seen in the <a href="https://github.com/JuliaGPU/CUDA.jl/pull/750">corresponding pull request</a>. It is now no longer needed to prefix a call with the CUDA module to ensure a GPU-compatible version is used. Furthermore, it also protects users from accidentally calling GPU intrinsics, as doing so will now result in an error instead of a crash:</p>
-<pre><code class="language-text">julia&gt; CUDA.saturate&#40;1f0&#41;
-ERROR: This function is not intended for use on the CPU
-Stacktrace:
- &#91;1&#93; error&#40;s::String&#41;
-   @ Base ./error.jl:33
- &#91;2&#93; saturate&#40;x::Float32&#41;
-   @ CUDA ~/Julia/pkg/CUDA/src/device/intrinsics.jl:23
- &#91;3&#93; top-level scope
-   @ REPL&#91;10&#93;:1</code></pre>
-<h2 id="device-side_random_number_generation">Device-side random number generation</h2>
-<p>As an illustration of the value of GPU method overrides, CUDA.jl now provides a device-side random number generator that is accessible by simply calling <code>rand&#40;&#41;</code> from a kernel:</p>
-<pre><code class="language-julia">julia&gt; function kernel&#40;&#41;
-         @cushow rand&#40;&#41;
-         return
-       end
-kernel &#40;generic function with 1 method&#41;julia&gt; @cuda kernel&#40;&#41;
-rand&#40;&#41; &#61; 0.668274</code></pre>
-<p>This works by overriding the <code>Random.default_rng&#40;&#41;</code> method, and providing a GPU-compatible random number generator: Building on <a href="https://github.com/JuliaGPU/CUDA.jl/pull/772">exploratory work</a> by <a href="https://github.com/S-D-R">@S-D-R</a>, the <a href="https://github.com/JuliaGPU/CUDA.jl/pull/788">current generator</a> is a maximally equidistributed combined Tausworthe RNG that shares 32-bytes of random state across threads in a warp for performance. The generator performs well, but <a href="https://github.com/JuliaGPU/CUDA.jl/issues/803">does not pass</a> the Crush battery of tests, so PRs are welcome here to improve the implementation&#33;</p>
-<p>Note that for host-side operations, e.g. <code>rand&#33;&#40;::CuArray&#41;</code>, the generator is not yet used by default. Instead, we use CURAND whenever possible, and fall back to the slower but more full-featured GPUArrays.jl-generator in other cases.</p>
-<h2 id="revamped_cudnn_interface">Revamped cuDNN interface</h2>
-<p>Finally, the cuDNN wrappers have been <a href="https://github.com/JuliaGPU/CUDA.jl/pull/523">completely revamped</a> by <a href="https://github.com/denizyuret">@denizyuret</a>. The goal of the redesign is to more faithfully map the cuDNN API to more natural Julia functions, so that packages like Knet.jl or NNlib.jl can more easily use advanced cuDNN features without having to resort to low-level C calls. For more details, refer to <a href="https://github.com/JuliaGPU/CUDA.jl/blob/da7c6eee82d6ea0eee1cb75c8589c8a92b0bc474/lib/cudnn/README.md">the design document</a>. As part of this redesign, the high-level wrappers of CUDNN <a href="https://github.com/FluxML/NNlib.jl/pull/286">have been moved to</a> a subpackage of NNlib.jl.</p>
-]]></content:encoded>
-    
-  <pubDate>Fri, 09 Apr 2021 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[CUDA.jl 2.4 and 2.5]]></title>
-  <link>https://juliagpu.org/post/2021-01-08-cuda_2.4_2.5/index.html</link>
-  <guid>https://juliagpu.org/2021-01-08-cuda_2.4_2.5/</guid>
-  <description><![CDATA[CUDA.jl v2.4 and v2.5 are two almost-identical feature releases, respectively for Julia 1.5 and 1.6. These releases feature a greatly improved &lt;code&gt;findmin&lt;/code&gt; and &lt;code&gt;findmax&lt;/code&gt; kernels, an improved interface for kernel introspection, support for CUDA 11.2, and of course many bug fixes.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>CUDA.jl v2.4 and v2.5 are two almost-identical feature releases, respectively for Julia 1.5 and 1.6. These releases feature a greatly improved <code>findmin</code> and <code>findmax</code> kernels, an improved interface for kernel introspection, support for CUDA 11.2, and of course many bug fixes.</p>
-<h2 id="improved_findmin_and_findmax_kernels">Improved <code>findmin</code> and <code>findmax</code> kernels</h2>
-<p>Thanks to <a href="https://github.com/tkf">@tkf</a> and <a href="https://github.com/Ellipse0934">@Ellipse0934</a>, CUDA.jl now <a href="https://github.com/JuliaGPU/CUDA.jl/pull/576">uses a single-pass kernel for finding the minimum or maximum item in a CuArray</a>. This fixes compatibility with <code>NaN</code>-valued elements, while on average improving performance. Depending on the rank, shape and size of the array these improvements vary from a minor regression to order-of-magnitude improvements.</p>
-<h2 id="new_kernel_introspection_interface">New kernel introspection interface</h2>
-<p>It is now possible to obtain a compiled-but-not-launched kernel by passing the <code>launch&#61;false</code> keyword to <code>@cuda</code>. This is useful when you want to reflect, e.g., query the amount of registers, or other kernel properties:</p>
-<pre><code class="language-julia">julia&gt; kernel &#61; @cuda launch&#61;false identity&#40;nothing&#41;
-CUDA.HostKernel&#123;identity,Tuple&#123;Nothing&#125;&#125;&#40;...&#41;julia&gt; CUDA.registers&#40;kernel&#41;
-4</code></pre>
-<p>The old API is still available, and will even be extended in future versions of CUDA.jl for the purpose of compiling device functions &#40;not kernels&#41;:</p>
-<pre><code class="language-julia">julia&gt; kernel &#61; cufunction&#40;identity, Tuple&#123;Nothing&#125;&#41;
-CUDA.HostKernel&#123;identity,Tuple&#123;Nothing&#125;&#125;&#40;...&#41;</code></pre>
-<h2 id="support_for_cuda_112">Support for CUDA 11.2</h2>
-<p>CUDA.jl now supports the latest version of CUDA, version 11.2. Because CUDNN and CUTENSOR are not compatible with this release yet, CUDA.jl won&#39;t automatically switch to it unless you explicitly request so:</p>
-<pre><code class="language-julia">julia&gt; ENV&#91;&quot;JULIA_CUDA_VERSION&quot;&#93; &#61; &quot;11.2&quot;
-&quot;11.2&quot;julia&gt; using CUDAjulia&gt; CUDA.versioninfo&#40;&#41;
-CUDA toolkit 11.2.0, artifact installation
-CUDA driver 11.2.0
-NVIDIA driver 460.27.4</code></pre>
-<p>Alternatively, if you disable use of artifacts through <code>JULIA_CUDA_USE_BINARYBUILDER&#61;false</code>, CUDA 11.2 can be picked up from your local system.</p>
-<h2 id="future_developments">Future developments</h2>
-<p>Due to upstream compiler changes, CUDA.jl 2.4 is expected to be the last release compatible with Julia 1.5. Patch releases are still possible, but are not automatic: If you need a specific bugfix from a future CUDA.jl release, create an issue or PR to backport the change.</p>
-]]></content:encoded>
-    
-  <pubDate>Fri, 08 Jan 2021 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[Introducing: oneAPI.jl]]></title>
-  <link>https://juliagpu.org/post/2020-11-05-oneapi_0.1/index.html</link>
-  <guid>https://juliagpu.org/2020-11-05-oneapi_0.1/</guid>
-  <description><![CDATA[We&#39;re proud to announce the first version of oneAPI.jl, a Julia package for programming accelerators with the &lt;a href&#61;&quot;https://www.oneapi.com/&quot;&gt;oneAPI programming model&lt;/a&gt;. It is currently available for select Intel GPUs, including common integrated ones, and offers a similar experience to CUDA.jl.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>We&#39;re proud to announce the first version of oneAPI.jl, a Julia package for programming accelerators with the <a href="https://www.oneapi.com/">oneAPI programming model</a>. It is currently available for select Intel GPUs, including common integrated ones, and offers a similar experience to CUDA.jl.</p>
-<p>The initial version of this package, v0.1, consists of three key components:</p>
-<ul>
-<li><p>wrappers for the oneAPI Level Zero interfaces;</p>
-</li>
-<li><p>a compiler for Julia source code to SPIR-V IR;</p>
-</li>
-<li><p>and an array interface for convenient data-parallel programming.</p>
-</li>
-</ul>
-<p>In this post, I&#39;ll briefly describe each of these. But first, some essentials.</p>
-<h2 id="installation">Installation</h2>
-<p>oneAPI.jl is currently only supported on 64-bit Linux, using a sufficiently recent kernel, and requires Julia 1.5. Furthermore, it currently only supports a limited set of Intel GPUs: Gen9 &#40;Skylake, Kaby Lake, Coffee Lake&#41;, Gen11 &#40;Ice Lake&#41;, and Gen12 &#40;Tiger Lake&#41;.</p>
-<p>If your Intel CPU has an integrated GPU supported by oneAPI, you can just go ahead and install the oneAPI.jl package:</p>
-<pre><code class="language-julia">pkg&gt; add oneAPI</code></pre>
-<p>That&#39;s right, no additional drivers required&#33; oneAPI.jl ships its own copy of the <a href="https://github.com/intel/compute-runtime">Intel Compute Runtime</a>, which works out of the box on any &#40;sufficiently recent&#41; Linux kernel. The initial download, powered by Julia&#39;s artifact subsystem, might take a while to complete. After that, you can import the package and start using its functionality:</p>
-<pre><code class="language-julia-repl">julia&gt; using oneAPIjulia&gt; oneAPI.versioninfo&#40;&#41;
-Binary dependencies:
-- NEO_jll: 20.42.18209&#43;0
-- libigc_jll: 1.0.5186&#43;0
-- gmmlib_jll: 20.3.2&#43;0
-- SPIRV_LLVM_Translator_jll: 9.0.0&#43;1
-- SPIRV_Tools_jll: 2020.2.0&#43;1Toolchain:
-- Julia: 1.5.2
-- LLVM: 9.0.11 driver:
-- 00007fee-06cb-0a10-1642-ca9f01000000 &#40;v1.0.0, API v1.0.0&#41;1 device:
-- Intel&#40;R&#41; Graphics Gen9</code></pre>
-<h2 id="the_onearray_type">The <code>oneArray</code> type</h2>
-<p>Similar to CUDA.jl&#39;s <code>CuArray</code> type, oneAPI.jl provides an array abstraction that you can use to easily perform data parallel operations on your GPU:</p>
-<pre><code class="language-julia-repl">julia&gt; a &#61; oneArray&#40;zeros&#40;2,3&#41;&#41;
-2×3 oneArray&#123;Float64,2&#125;:
- 0.0  0.0  0.0
- 0.0  0.0  0.0julia&gt; a .&#43; 1
-2×3 oneArray&#123;Float64,2&#125;:
- 1.0  1.0  1.0
- 1.0  1.0  1.0julia&gt; sum&#40;ans; dims&#61;2&#41;
-2×1 oneArray&#123;Float64,2&#125;:
- 3.0
- 3.0</code></pre>
-<p>This functionality builds on the <a href="https://github.com/JuliaGPU/GPUArrays.jl/">GPUArrays.jl</a> package, which means that a lot of operations are supported out of the box. Some are still missing, of course, and we haven&#39;t carefully optimized for performance either.</p>
-<h2 id="kernel_programming">Kernel programming</h2>
-<p>The above array operations are made possible by a compiler that transforms Julia source code into SPIR-V IR for use with oneAPI. Most of this work is part of <a href="https://github.com/JuliaGPU/GPUCompiler.jl">GPUCompiler.jl</a>. In oneAPI.jl, we use this compiler to provide a kernel programming model:</p>
-<pre><code class="language-julia-repl">julia&gt; function vadd&#40;a, b, c&#41;
-           i &#61; get_global_id&#40;&#41;
-           @inbounds c&#91;i&#93; &#61; a&#91;i&#93; &#43; b&#91;i&#93;
-           return
-       endjulia&gt; a &#61; oneArray&#40;rand&#40;10&#41;&#41;;julia&gt; b &#61; oneArray&#40;rand&#40;10&#41;&#41;;julia&gt; c &#61; similar&#40;a&#41;;julia&gt; @oneapi items&#61;10 vadd&#40;a, b, c&#41;julia&gt; @test Array&#40;a&#41; .&#43; Array&#40;b&#41; &#61;&#61; Array&#40;c&#41;
-Test Passed</code></pre>
-<p>Again, the <code>@oneapi</code> macro resembles <code>@cuda</code> from CUDA.jl. One of the differences with the CUDA stack is that we use OpenCL-style built-ins, like <code>get_global_id</code> instead of <code>threadIdx</code> and <code>barrier</code> instead of <code>sync_threads</code>. Other familiar functionality, e.g. to reflect on the compiler, is available as well:</p>
-<pre><code class="language-julia-repl">julia&gt; @device_code_spirv @oneapi vadd&#40;a, b, c&#41;
-; CompilerJob of kernel vadd&#40;oneDeviceArray&#123;Float64,1,1&#125;,
-;                            oneDeviceArray&#123;Float64,1,1&#125;,
-;                            oneDeviceArray&#123;Float64,1,1&#125;&#41;
-; for GPUCompiler.SPIRVCompilerTarget; SPIR-V
-; Version: 1.0
-; Generator: Khronos LLVM/SPIR-V Translator; 14
-; Bound: 46
-; Schema: 0
-               OpCapability Addresses
-               OpCapability Linkage
-               OpCapability Kernel
-               OpCapability Float64
-               OpCapability Int64
-               OpCapability Int8
-          &#37;1 &#61; OpExtInstImport &quot;OpenCL.std&quot;
-               OpMemoryModel Physical64 OpenCL
-               OpEntryPoint Kernel
-               ...
-               OpReturn
-               OpFunctionEnd</code></pre>
-<h2 id="level_zero_wrappers">Level Zero wrappers</h2>
-<p>To interface with the oneAPI driver, we use the <a href="https://github.com/oneapi-src/level-zero">Level Zero API</a>. Wrappers for this API is available under the <code>oneL0</code> submodule of oneAPI.jl:</p>
-<pre><code class="language-julia-repl">julia&gt; using oneAPI.oneL0julia&gt; drv &#61; first&#40;drivers&#40;&#41;&#41;
-ZeDriver&#40;00000000-0000-0000-1642-ca9f01000000, version 1.0.0&#41;julia&gt; dev &#61; first&#40;devices&#40;drv&#41;&#41;
-ZeDevice&#40;GPU, vendor 0x8086, device 0x1912&#41;: Intel&#40;R&#41; Graphics Gen9</code></pre>
-<p>This is a low-level interface, and importing this submodule should not be required for the vast majority of users. It is only useful when you want to perform very specific operations, like submitting an certain operations to the command queue, working with events, etc. In that case, you should refer to the <a href="https://spec.oneapi.com/level-zero/latest/index.html">upstream specification</a>; The wrappers in the <code>oneL0</code> module closely mimic the C APIs.</p>
-<h2 id="status">Status</h2>
-<p>Version 0.1 of oneAPI.jl forms a solid base for future oneAPI developments in Julia. Thanks to the continued effort of generalizing the Julia GPU support in packages like GPUArrays.jl and GPUCompiler.jl, this initial version is already much more usable than early versions of CUDA.jl or AMDGPU.jl ever were.</p>
-<p>That said, there are crucial parts missing. For one, oneAPI.jl does not integrate with any of the vendor libraries like oneMKL or oneDNN. That means several important operations, e.g. matrix-matrix multiplication, will be slow. Hardware support is also limited, and the package currently only works on Linux.</p>
-<p>If you want to contribute to oneAPI.jl, or run into problems, check out the GitHub repository at <a href="https://github.com/JuliaGPU/oneAPI.jl">JuliaGPU/oneAPI.jl</a>. For questions, please use the <a href="https://discourse.julialang.org/c/domain/gpu">Julia Discourse forum</a> under the GPU domain and/or in the #gpu channel of the <a href="https://julialang.org/community/">Julia Slack</a>.</p>
-]]></content:encoded>
-    
-  <pubDate>Thu, 05 Nov 2020 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[CUDA.jl 2.1]]></title>
-  <link>https://juliagpu.org/post/2020-10-30-cuda_2.1/index.html</link>
-  <guid>https://juliagpu.org/2020-10-30-cuda_2.1/</guid>
-  <description><![CDATA[CUDA.jl v2.1 is a bug-fix release, with one new feature: support for cubic texture interpolations. The release also partly reverts a change from v2.0: &lt;code&gt;reshape&lt;/code&gt;, &lt;code&gt;reinterpret&lt;/code&gt; and contiguous &lt;code&gt;view&lt;/code&gt;s now return a &lt;code&gt;CuArray&lt;/code&gt; again.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>CUDA.jl v2.1 is a bug-fix release, with one new feature: support for cubic texture interpolations. The release also partly reverts a change from v2.0: <code>reshape</code>, <code>reinterpret</code> and contiguous <code>view</code>s now return a <code>CuArray</code> again.</p>
-<h2 id="generalized_texture_interpolations">Generalized texture interpolations</h2>
-<p>CUDA&#39;s texture hardware only supports nearest-neighbour and linear interpolation, for other modes one is required to perform the interpolation by hand. In CUDA.jl v2.1 we are generalizing the texture interpolation API so that it is possible to use both hardware-backed and software-implemented interpolation modes in exactly the same way:</p>
-<pre><code class="language-julia"># N is the dimensionality &#40;1, 2 or 3&#41;
-# T is the element type &#40;needs to be supported by the texture hardware&#41;# source array
-src &#61; rand&#40;T, fill&#40;10, N&#41;...&#41;# indices we want to interpolate
-idx &#61; &#91;tuple&#40;rand&#40;1:0.1:10, N&#41;...&#41; for _ in 1:10&#93;# upload to the GPU
-gpu_src &#61; CuArray&#40;src&#41;
-gpu_idx &#61; CuArray&#40;idx&#41;# create a texture array for optimized fetching
-# this is required for N&#61;1, optional for N&#61;2 and N&#61;3
-gpu_src &#61; CuTextureArray&#40;gpu_src&#41;# interpolate using a texture
-gpu_dst &#61; CuArray&#123;T&#125;&#40;undef, size&#40;gpu_idx&#41;&#41;
-gpu_tex &#61; CuTexture&#40;gpu_src; interpolation&#61;CUDA.NearestNeighbour&#40;&#41;&#41;
-broadcast&#33;&#40;gpu_dst, gpu_idx, Ref&#40;gpu_tex&#41;&#41; do idx, tex
-    tex&#91;idx...&#93;
-end# back to the CPU
-dst &#61; Array&#40;gpu_dst&#41;</code></pre>
-<p>Here, we can change the <code>interpolation</code> argument to <code>CuTexture</code> to either <code>NearestNeighbour</code> or <code>LinearInterpolation</code>, both supported by the hardware, or <code>CubicInterpolation</code> which is implemented in software &#40;building on the hardware-supported linear interpolation&#41;.</p>
-<h2 id="partial_revert_of_array_wrapper_changes">Partial revert of array wrapper changes</h2>
-<p>In CUDA.jl v2.0, we changed the behavior of several important array operations to reuse available wrappers in Base: <code>reshape</code> started returning a <code>ReshapedArray</code>, <code>view</code> now returned a <code>SubArray</code>, and <code>reinterpret</code> was reworked to use <code>ReinterpretArray</code>. These changes were made to ensure maximal compatibility with Base&#39;s array type, and to simplify the implementation in CUDA.jl and GPUArrays.jl.</p>
-<p>However, this change turned out to regress the time to precompile and load CUDA.jl. Consequently, the change has been reverted, and these wrappers are now implemented as part of the <code>CuArray</code> type again. Note however that we intend to revisit this change in the future. It is therefore recommended to use the <code>DenseCuArray</code> type alias for methods that need a <code>CuArray</code> backed by contiguous GPU memory. For strided <code>CuArray</code>s, i.e. non-contiguous views, you should use the <code>StridedCuArray</code> alias.</p>
-]]></content:encoded>
-    
-  <pubDate>Fri, 30 Oct 2020 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[CUDA.jl 2.0]]></title>
-  <link>https://juliagpu.org/post/2020-10-02-cuda_2.0/index.html</link>
-  <guid>https://juliagpu.org/2020-10-02-cuda_2.0/</guid>
-  <description><![CDATA[Today we&#39;re releasing CUDA.jl 2.0, a breaking release with several new features. Highlights include initial support for Float16, a switch to CUDA&#39;s new stream model, a much-needed rework of the sparse array support and support for CUDA 11.1.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>Today we&#39;re releasing CUDA.jl 2.0, a breaking release with several new features. Highlights include initial support for Float16, a switch to CUDA&#39;s new stream model, a much-needed rework of the sparse array support and support for CUDA 11.1.</p>
-<p>The release now requires <strong>Julia 1.5</strong>, and assumes a GPU with <strong>compute capability 5.0</strong> or higher &#40;although most of the package will still work with an older GPU&#41;.</p>
-<h2 id="low-_and_mixed-precision_operations">Low- and mixed-precision operations</h2>
-<p>With NVIDIA&#39;s latest GPUs featuring more and more low-precision operations, CUDA.jl <a href="https://github.com/JuliaGPU/CUDA.jl/pull/417">now</a> starts to support these data types. For example, the CUBLAS wrappers can be used with &#40;B&#41;Float16 inputs &#40;running under <code>JULIA_DEBUG&#61;CUBLAS</code> to illustrate the called methods&#41; thanks to the <code>cublasGemmEx</code> API call:</p>
-<pre><code class="language-julia-repl">julia&gt; mul&#33;&#40;CUDA.zeros&#40;Float32,2,2&#41;,
-            cu&#40;rand&#40;Float16,2,2&#41;&#41;,
-            cu&#40;rand&#40;Float16,2,2&#41;&#41;&#41;I&#33; cuBLAS &#40;v11.0&#41; function cublasStatus_t cublasGemmEx&#40;...&#41; called:
-i&#33;  Atype: type&#61;cudaDataType_t; val&#61;CUDA_R_16F&#40;2&#41;
-i&#33;  Btype: type&#61;cudaDataType_t; val&#61;CUDA_R_16F&#40;2&#41;
-i&#33;  Ctype: type&#61;cudaDataType_t; val&#61;CUDA_R_32F&#40;0&#41;
-i&#33;  computeType: type&#61;cublasComputeType_t; val&#61;CUBLAS_COMPUTE_32F&#40;68&#41;2×2 CuArray&#123;Float32,2&#125;:
- 0.481284  0.561241
- 1.12923   1.04541</code></pre>
-<pre><code class="language-julia-repl">julia&gt; using BFloat16sjulia&gt; mul&#33;&#40;CUDA.zeros&#40;BFloat16,2,2&#41;,
-            cu&#40;BFloat16.&#40;rand&#40;2,2&#41;&#41;&#41;,
-            cu&#40;BFloat16.&#40;rand&#40;2,2&#41;&#41;&#41;&#41;I&#33; cuBLAS &#40;v11.0&#41; function cublasStatus_t cublasGemmEx&#40;...&#41; called:
-i&#33;  Atype: type&#61;cudaDataType_t; val&#61;CUDA_R_16BF&#40;14&#41;
-i&#33;  Btype: type&#61;cudaDataType_t; val&#61;CUDA_R_16BF&#40;14&#41;
-i&#33;  Ctype: type&#61;cudaDataType_t; val&#61;CUDA_R_16BF&#40;14&#41;
-i&#33;  computeType: type&#61;cublasComputeType_t; val&#61;CUBLAS_COMPUTE_32F&#40;68&#41;2×2 CuArray&#123;BFloat16,2&#125;:
- 0.300781   0.71875
- 0.0163574  0.0241699</code></pre>
-<p>Alternatively, CUBLAS can be configured to automatically down-cast 32-bit inputs to Float16. This is <a href="https://github.com/JuliaGPU/CUDA.jl/pull/424">now</a> exposed through a task-local CUDA.jl math mode:</p>
-<pre><code class="language-julia-repl">julia&gt; CUDA.math_mode&#33;&#40;CUDA.FAST_MATH; precision&#61;:Float16&#41;julia&gt; mul&#33;&#40;CuArray&#40;zeros&#40;Float32,2,2&#41;&#41;,
-            CuArray&#40;rand&#40;Float32,2,2&#41;&#41;,
-            CuArray&#40;rand&#40;Float32,2,2&#41;&#41;&#41;I&#33; cuBLAS &#40;v11.0&#41; function cublasStatus_t cublasGemmEx&#40;...&#41; called:
-i&#33;  Atype: type&#61;cudaDataType_t; val&#61;CUDA_R_32F&#40;0&#41;
-i&#33;  Btype: type&#61;cudaDataType_t; val&#61;CUDA_R_32F&#40;0&#41;
-i&#33;  Ctype: type&#61;cudaDataType_t; val&#61;CUDA_R_32F&#40;0&#41;
-i&#33;  computeType: type&#61;cublasComputeType_t; val&#61;CUBLAS_COMPUTE_32F_FAST_16F&#40;74&#41;2×2 CuArray&#123;Float32,2&#125;:
- 0.175258  0.226159
- 0.511893  0.331351</code></pre>
-<p>As part of these changes, CUDA.jl now defaults to using tensor cores. This may affect accuracy; use math mode <code>PEDANTIC</code> if you want the old behavior.</p>
-<p>Work is <a href="https://github.com/JuliaGPU/CUDA.jl/issues/391">under way</a> to extend these capabilities to the rest of CUDA.jl, e.g., the CUDNN wrappers, or the native kernel programming capabilities.</p>
-<h2 id="new_default_stream_semantics">New default stream semantics</h2>
-<p>In CUDA.jl 2.0 we&#39;re <a href="https://github.com/JuliaGPU/CUDA.jl/pull/395">switching</a> to CUDA&#39;s <a href="https://developer.nvidia.com/blog/gpu-pro-tip-cuda-7-streams-simplify-concurrency/">simplified stream programming model</a>. This simplifies working with multiple streams, and opens up more possibilities for concurrent execution of GPU operations.</p>
-<h3 id="multi-stream_programming">Multi-stream programming</h3>
-<p>In the old model, the default stream &#40;used by all GPU operations unless specified otherwise&#41; was a special stream whose commands could not be executed concurrently with commands on regular, explicitly-created streams. For example, if we interleave kernels executed on a dedicated stream with ones on the default one, execution was serialized:</p>
-<pre><code class="language-julia">using CUDAN &#61; 1 &lt;&lt; 20function kernel&#40;x, n&#41;
-    tid &#61; threadIdx&#40;&#41;.x &#43; &#40;blockIdx&#40;&#41;.x-1&#41; * blockDim&#40;&#41;.x
-    for i &#61; tid:blockDim&#40;&#41;.x*gridDim&#40;&#41;.x:n
-        x&#91;i&#93; &#61; CUDA.sqrt&#40;CUDA.pow&#40;3.14159f0, i&#41;&#41;
-    end
-    return
-endnum_streams &#61; 8for i in 1:num_streams
-    stream &#61; CuStream&#40;&#41;    data &#61; CuArray&#123;Float32&#125;&#40;undef, N&#41;    @cuda blocks&#61;1 threads&#61;64 stream&#61;stream kernel&#40;data, N&#41;    @cuda kernel&#40;data, 0&#41;
-end</code></pre>
-<figure>
-  <img src="https://juliagpu.org/post/2020-10-02-cuda_2.0/multistream_before.png" alt="Multi-stream programming (old)">
-</figure><p>In the new model, default streams are regular streams and commands issued on them can execute concurrently with those on other streams:</p>
-<figure>
-  <img src="https://juliagpu.org/post/2020-10-02-cuda_2.0/multistream_after.png" alt="Multi-stream programming (new)">
-</figure><h3 id="multi-threading">Multi-threading</h3>
-<p>Another consequence of the new stream model is that each thread gets its own default stream &#40;accessible as <code>CuStreamPerThread&#40;&#41;</code>&#41;. Together with Julia&#39;s threading capabilities, this makes it trivial to group independent work in tasks, benefiting from concurrent execution on the GPU where possible:</p>
-<pre><code class="language-julia">using CUDAN &#61; 1 &lt;&lt; 20function kernel&#40;x, n&#41;
-    tid &#61; threadIdx&#40;&#41;.x &#43; &#40;blockIdx&#40;&#41;.x-1&#41; * blockDim&#40;&#41;.x
-    for i &#61; tid:blockDim&#40;&#41;.x*gridDim&#40;&#41;.x:n
-        x&#91;i&#93; &#61; CUDA.sqrt&#40;CUDA.pow&#40;3.14159f0, i&#41;&#41;
-    end
-    return
-endThreads.@threads for i in 1:Threads.nthreads&#40;&#41;
-    data &#61; CuArray&#123;Float32&#125;&#40;undef, N&#41;
-    @cuda blocks&#61;1 threads&#61;64 kernel&#40;data, N&#41;
-    synchronize&#40;CuDefaultStream&#40;&#41;&#41;
-end</code></pre>
-<figure>
-  <img src="https://juliagpu.org/post/2020-10-02-cuda_2.0/multithread_after.png" alt="Multi-threading (new)">
-</figure><p>With the old model, execution would have been serialized because the default stream was the same across threads:</p>
-<figure>
-  <img src="https://juliagpu.org/post/2020-10-02-cuda_2.0/multithread_before.png" alt="Multi-threading (old)">
-</figure><p>Future improvements will make this behavior configurable, such that users can use a different default stream per task.</p>
-<h2 id="sparse_array_clean-up">Sparse array clean-up</h2>
-<p>As part of CUDA.jl 2.0, the sparse array support <a href="https://github.com/JuliaGPU/CUDA.jl/pull/409">has been refactored</a>, bringing them in line with other array types and their expected behavior. For example, the custom <code>switch2</code> methods have been removed in favor of calls to <code>convert</code> and array constructors:</p>
-<pre><code class="language-julia-repl">julia&gt; using SparseArrays
-julia&gt; using CUDA, CUDA.CUSPARSEjulia&gt; CuSparseMatrixCSC&#40;CUDA.rand&#40;2,2&#41;&#41;
-2×2 CuSparseMatrixCSC&#123;Float32&#125; with 4 stored entries:
-  &#91;1, 1&#93;  &#61;  0.124012
-  &#91;2, 1&#93;  &#61;  0.791714
-  &#91;1, 2&#93;  &#61;  0.487905
-  &#91;2, 2&#93;  &#61;  0.752466julia&gt; CuSparseMatrixCOO&#40;sprand&#40;2,2, 0.5&#41;&#41;
-2×2 CuSparseMatrixCOO&#123;Float64&#125; with 3 stored entries:
-  &#91;1, 1&#93;  &#61;  0.183183
-  &#91;2, 1&#93;  &#61;  0.966466
-  &#91;2, 2&#93;  &#61;  0.064101julia&gt; CuSparseMatrixCSR&#40;ans&#41;
-2×2 CuSparseMatrixCSR&#123;Float64&#125; with 3 stored entries:
-  &#91;1, 1&#93;  &#61;  0.183183
-  &#91;2, 1&#93;  &#61;  0.966466
-  &#91;2, 2&#93;  &#61;  0.064101</code></pre>
-<p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/421">Initial support for the COO sparse matrix type </a> has also been added, along with more <a href="https://github.com/JuliaGPU/CUDA.jl/pull/351">better support for sparse matrix-vector multiplication</a>.</p>
-<h2 id="support_for_cuda_111">Support for CUDA 11.1</h2>
-<p>This release also features support for the brand-new CUDA 11.1. As there is no compatible release of CUDNN or CUTENSOR yet, CUDA.jl won&#39;t automatically select this version, but you can force it to by setting the <code>JULIA_CUDA_VERSION</code> environment variable to <code>11.1</code>:</p>
-<pre><code class="language-julia-repl">julia&gt; ENV&#91;&quot;JULIA_CUDA_VERSION&quot;&#93; &#61; &quot;11.1&quot;julia&gt; using CUDAjulia&gt; CUDA.versioninfo&#40;&#41;
-CUDA toolkit 11.1.0, artifact installationLibraries:
-- CUDNN: missing
-- CUTENSOR: missing</code></pre>
-<h2 id="minor_changes">Minor changes</h2>
-<p>Many other changes are part of this release:</p>
-<ul>
-<li><p>Views, reshapes and array reinterpretations <a href="https://github.com/JuliaGPU/CUDA.jl/pull/437">are now represented</a> by the Base array wrappers, simplifying the CuArray type definition.</p>
-</li>
-<li><p>Various optimizations to <a href="https://github.com/JuliaGPU/CUDA.jl/pull/428">CUFFT</a> and <a href="https://github.com/JuliaGPU/CUDA.jl/pull/321">CUDNN</a> library wrappers.</p>
-</li>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/427">Support</a> for <code>LinearAlgebra.reflect&#33;</code> and <code>rotate&#33;</code></p>
-</li>
-<li><p><a href="https://github.com/JuliaGPU/CUDA.jl/pull/435">Initial support</a> for calling CUDA libraries with strided inputs</p>
-</li>
-</ul>
-]]></content:encoded>
-    
-  <pubDate>Fri, 02 Oct 2020 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[Paper: Flexible Performant GEMM Kernels on GPUs]]></title>
-  <link>https://juliagpu.org/post/2020-09-28-gemmkernels/index.html</link>
-  <guid>https://juliagpu.org/2020-09-28-gemmkernels/</guid>
-  <description><![CDATA[General Matrix Multiplication or GEMM kernels take center place in high performance computing and machine learning. Recent NVIDIA GPUs include GEMM accelerators, such as NVIDIA&#39;s Tensor Cores. In this paper we show how it is possible to program these accelerators from Julia, and present abstractions and interfaces that allow to do so efficiently without sacrificing performance.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>General Matrix Multiplication or GEMM kernels take center place in high performance computing and machine learning. Recent NVIDIA GPUs include GEMM accelerators, such as NVIDIA&#39;s Tensor Cores. In this paper we show how it is possible to program these accelerators from Julia, and present abstractions and interfaces that allow to do so efficiently without sacrificing performance.</p>
-<p>A pre-print of the paper has been published on arXiv: <a href="https://arxiv.org/abs/2009.12263">arXiv:2009.12263</a>. <br/> The source code can be found on GitHub: <a href="https://github.com/thomasfaingnaert/GemmKernels.jl">thomasfaingnaert/GemmKernels.jl</a>.</p>
-<p>With the APIs from GemmKernels.jl, it is possible to instantiate GEMM kernels that perform in the same ball park as, and sometimes even outperform state-of-the-art libraries like CUBLAS and CUTLASS. For example, performing a mixed-precision multiplication of two 16-bit matrixes into a 32-bit accumulator &#40;on different combinations of layouts&#41;:</p>
-<figure>
-  <img src="https://juliagpu.org/post/2020-09-28-gemmkernels/mixed_precision.png" alt="Performance of mixed-precision GEMM">
-</figure><p>The APIs are also highly flexible and allow customization of each step, e.g., to apply the activation function <code>max&#40;x, 0&#41;</code> for implementing a rectified linear unit &#40;ReLU&#41;:</p>
-<pre><code class="language-julia">a &#61; CuArray&#40;rand&#40;Float16, &#40;M, K&#41;&#41;&#41;
-b &#61; CuArray&#40;rand&#40;Float16, &#40;K, N&#41;&#41;&#41;
-c &#61; CuArray&#40;rand&#40;Float32, &#40;M, N&#41;&#41;&#41;
-d &#61; similar&#40;c&#41;conf &#61; GemmKernels.get_config&#40;
-    gemm_shape &#61; &#40;M &#61; M, N &#61; N, K &#61; K&#41;,
-    operator &#61; Operator.WMMAOp&#123;16, 16, 16&#125;,
-    global_a_layout &#61; Layout.AlignedColMajor&#123;Float16&#125;,
-    global_c_layout &#61; Layout.AlignedColMajor&#123;Float32&#125;&#41;GemmKernels.matmul&#40;
-    a, b, c, d, conf;
-    transform_regs_to_shared_d &#61; Transform.Elementwise&#40;x -&gt; max&#40;x, 0&#41;&#41;&#41;</code></pre>
-<p>The GemmKernels.jl framework is written entirely in Julia, demonstrating the high-performance GPU programming capabilities of this language, but at the same time keeping the research accessible and easy to modify or repurpose by other Julia developers.</p>
-]]></content:encoded>
-    
-  <pubDate>Mon, 28 Sep 2020 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Thomas Faingnaert, Tim Besard, Bjorn De Sutter</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[CUDA.jl 1.3 - Multi-device programming]]></title>
-  <link>https://juliagpu.org/post/2020-07-18-cuda_1.3/index.html</link>
-  <guid>https://juliagpu.org/2020-07-18-cuda_1.3/</guid>
-  <description><![CDATA[Today we&#39;re releasing CUDA.jl 1.3, with several new features. The most prominent change is support for multiple GPUs within a single process.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>Today we&#39;re releasing CUDA.jl 1.3, with several new features. The most prominent change is support for multiple GPUs within a single process.</p>
-<h2 id="multi-gpu_programming">Multi-GPU programming</h2>
-<p>With CUDA.jl 1.3, you can finally use multiple CUDA GPUs within a single process. To switch devices you can call <code>device&#33;</code>, query the current device with <code>device&#40;&#41;</code>, or reset it using <code>device_reset&#33;&#40;&#41;</code>:</p>
-<pre><code class="language-julia-repl">julia&gt; collect&#40;devices&#40;&#41;&#41;
-9-element Array&#123;CuDevice,1&#125;:
- CuDevice&#40;0&#41;: Tesla V100-PCIE-32GB
- CuDevice&#40;1&#41;: Tesla V100-PCIE-32GB
- CuDevice&#40;2&#41;: Tesla V100-PCIE-32GB
- CuDevice&#40;3&#41;: Tesla V100-PCIE-32GB
- CuDevice&#40;4&#41;: Tesla V100-PCIE-16GB
- CuDevice&#40;5&#41;: Tesla P100-PCIE-16GB
- CuDevice&#40;6&#41;: Tesla P100-PCIE-16GB
- CuDevice&#40;7&#41;: GeForce GTX 1080 Ti
- CuDevice&#40;8&#41;: GeForce GTX 1080 Tijulia&gt; device&#33;&#40;5&#41;julia&gt; device&#40;&#41;
-CuDevice&#40;5&#41;: Tesla P100-PCIE-16GB</code></pre>
-<p>Let&#39;s define a kernel to show this really works:</p>
-<pre><code class="language-julia-repl">julia&gt; function kernel&#40;&#41;
-           dev &#61; Ref&#123;Cint&#125;&#40;&#41;
-           CUDA.cudaGetDevice&#40;dev&#41;
-           @cuprintln&#40;&quot;Running on device &#36;&#40;dev&#91;&#93;&#41;&quot;&#41;
-           return
-       endjulia&gt; @cuda kernel&#40;&#41;
-Running on device 5julia&gt; device&#33;&#40;0&#41;julia&gt; device&#40;&#41;
-CuDevice&#40;0&#41;: Tesla V100-PCIE-32GBjulia&gt; @cuda kernel&#40;&#41;
-Running on device 0</code></pre>
-<p>Memory allocations, like <code>CuArray</code>s, are implicitly bound to the device they were allocated on. That means you should take care to only use an array when the owning device is active, or you will run into errors:</p>
-<pre><code class="language-julia-repl">julia&gt; device&#40;&#41;
-CuDevice&#40;0&#41;: Tesla V100-PCIE-32GBjulia&gt; a &#61; CUDA.rand&#40;1&#41;
-1-element CuArray&#123;Float32,1&#125;:
- 0.6322775julia&gt; device&#33;&#40;1&#41;julia&gt; a
-ERROR: CUDA error: an illegal memory access was encountered</code></pre>
-<p>Future improvements might make the array type device-aware.</p>
-<h2 id="multitasking_and_multithreading">Multitasking and multithreading</h2>
-<p>Dovetailing with the support for multiple GPUs, is the ability to use these GPUs on separate Julia tasks and threads:</p>
-<pre><code class="language-julia-repl">julia&gt; device&#33;&#40;0&#41;julia&gt; @sync begin
-         @async begin
-           device&#33;&#40;1&#41;
-           println&#40;&quot;Working with &#36;&#40;device&#40;&#41;&#41; on &#36;&#40;current_task&#40;&#41;&#41;&quot;&#41;
-           yield&#40;&#41;
-           println&#40;&quot;Back to device &#36;&#40;device&#40;&#41;&#41; on &#36;&#40;current_task&#40;&#41;&#41;&quot;&#41;
-         end
-         @async begin
-           device&#33;&#40;2&#41;
-           println&#40;&quot;Working with &#36;&#40;device&#40;&#41;&#41; on &#36;&#40;current_task&#40;&#41;&#41;&quot;&#41;
-         end
-       end
-Working with CuDevice&#40;1&#41; on Task @0x00007fc9e6a48010
-Working with CuDevice&#40;2&#41; on Task @0x00007fc9e6a484f0
-Back to device CuDevice&#40;1&#41; on Task @0x00007fc9e6a48010julia&gt; device&#40;&#41;
-CuDevice&#40;0&#41;: Tesla V100-PCIE-32GB</code></pre>
-<p>Each task has its own local GPU state, such as the device it was bound to, handles to libraries like CUBLAS or CUDNN &#40;which means that each task can configure libraries independently&#41;, etc.</p>
-<h2 id="minor_features">Minor features</h2>
-<p>CUDA.jl 1.3 also features some minor changes:</p>
-<ul>
-<li><p>Reinstated compatibility with Julia 1.3</p>
-</li>
-<li><p>Support for CUDA 11.0 Update 1</p>
-</li>
-<li><p>Support for CUDNN 8.0.2</p>
-</li>
-</ul>
-<h2 id="known_issues">Known issues</h2>
-<p>Several operations on sparse arrays have been broken since CUDA.jl 1.2, due to the deprecations that were part of CUDA 11. The next version of CUDA.jl will drop support for CUDA 10.0 or older, which will make it possible to use new cuSPARSE APIs and add back missing functionality.</p>
-]]></content:encoded>
-    
-  <pubDate>Sat, 18 Jul 2020 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[CUDA.jl 1.1]]></title>
-  <link>https://juliagpu.org/post/2020-07-07-cuda_1.1/index.html</link>
-  <guid>https://juliagpu.org/2020-07-07-cuda_1.1/</guid>
-  <description><![CDATA[CUDA.jl 1.1 marks the first feature release after merging several CUDA packages into one. It raises the minimal Julia version to 1.4, and comes with support for the impending 1.5 release.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>CUDA.jl 1.1 marks the first feature release after merging several CUDA packages into one. It raises the minimal Julia version to 1.4, and comes with support for the impending 1.5 release.</p>
-<h2 id="cudajl_replacing_cuarrayscudanativejl">CUDA.jl replacing CuArrays/CUDAnative.jl</h2>
-<p>As <a href="https://discourse.julialang.org/t/psa-cuda-jl-replacing-cuarrays-jl-cudanative-jl-cudadrv-jl-cudaapi-jl-call-for-testing/40205">announced a while back</a>, CUDA.jl is now the new package for programming CUDA GPUs in Julia, replacing CuArrays.jl, CUDAnative.jl, CUDAdrv.jl and CUDAapi.jl. The merged package should be a drop-in replacement: All existing functionality has been ported, and almost all exported functions are still there. Applications like Flux.jl or the DiffEq.jl stack are being updated to support this change.</p>
-<h2 id="cuda_11_support">CUDA 11 support</h2>
-<p>With CUDA.jl 1.1, we support the upcoming release of the CUDA toolkit. This only applies to locally-installed versions of the toolkit, i.e., you need to specify <code>JULIA_CUDA_USE_BINARYBUILDER&#61;false</code> in your environment to pick up the locally-installed release candidate of the CUDA toolkit. New features, like the third-generation tensor cores and its extended type support, or any new APIs, are not yet natively supported by Julia code.</p>
-<h2 id="nvidia_management_library_nvml">NVIDIA Management Library &#40;NVML&#41;</h2>
-<p>CUDA.jl now integrates with the NVIDIA Management Library, or NVML. With this library, it&#39;s possible to query information about the system, any GPU devices, their topology, etc.:</p>
-<pre><code class="language-julia-repl">julia&gt; using CUDAjulia&gt; dev &#61; first&#40;NVML.devices&#40;&#41;&#41;
-CUDA.NVML.Device&#40;Ptr&#123;Nothing&#125; @0x00007f987c7c6e38&#41;julia&gt; NVML.uuid&#40;dev&#41;
-UUID&#40;&quot;b8d5e790-ea4d-f962-e0c3-0448f69f2e23&quot;&#41;julia&gt; NVML.name&#40;dev&#41;
-&quot;Quadro RTX 5000&quot;julia&gt; NVML.power_usage&#40;dev&#41;
-37.863julia&gt; NVML.energy_consumption&#40;dev&#41;
-65330.292</code></pre>
-<h2 id="experimental_texture_support">Experimental: Texture support</h2>
-<p>It is now also possible to use the GPU&#39;s hardware texture support from Julia, albeit using a fairly low-level and still experimental API &#40;many thanks to <a href="https://github.com/cdsousa">@cdsousa</a> for the initial development&#41;. As a demo, let&#39;s start with loading a sample image:</p>
-<pre><code class="language-julia">julia&gt; using Images, TestImages, ColorTypes, FixedPointNumbers
-julia&gt; img &#61; RGBA&#123;N0f8&#125;.&#40;testimage&#40;&quot;lighthouse&quot;&#41;&#41;</code></pre>
-<p>We use RGBA since CUDA&#39;s texture hardware only supports 1, 2 or 4 channels. This support is also currently limited to &quot;plain&quot; types, so let&#39;s reinterpret the image:</p>
-<pre><code class="language-julia">julia&gt; img′ &#61; reinterpret&#40;NTuple&#123;4,UInt8&#125;, img&#41;</code></pre>
-<p>Now we can upload this image to the array, using the <code>CuTextureArray</code> type for optimized storage &#40;normal <code>CuArray</code>s are supported too&#41;, and bind it to a <code>CuTexture</code> object that we can pass to a kernel:</p>
-<pre><code class="language-julia-repl">julia&gt; texturearray &#61; CuTextureArray&#40;img′&#41;julia&gt; texture &#61; CuTexture&#40;texturearray; normalized_coordinates&#61;true&#41;
-512×768 4-channel CuTexture&#40;::CuTextureArray&#41; with eltype NTuple&#123;4,UInt8&#125;</code></pre>
-<p>Let&#39;s write and a kernel that warps this image. Since we specified <code>normalized_coordinates&#61;true</code>, we index the texture using values in <code>&#91;0,1&#93;</code>:</p>
-<pre><code class="language-julia">function warp&#40;dst, texture&#41;
-    tid &#61; threadIdx&#40;&#41;.x &#43; &#40;blockIdx&#40;&#41;.x - 1&#41; * blockDim&#40;&#41;.x
-    I &#61; CartesianIndices&#40;dst&#41;
-    @inbounds if tid &lt;&#61; length&#40;I&#41;
-        i,j &#61; Tuple&#40;I&#91;tid&#93;&#41;
-        u &#61; Float32&#40;i-1&#41; / Float32&#40;size&#40;dst, 1&#41;-1&#41;
-        v &#61; Float32&#40;j-1&#41; / Float32&#40;size&#40;dst, 2&#41;-1&#41;
-        x &#61; u &#43; 0.02f0 * CUDA.sin&#40;30v&#41;
-        y &#61; v &#43; 0.03f0 * CUDA.sin&#40;20u&#41;
-        dst&#91;i,j&#93; &#61; texture&#91;x,y&#93;
-    end
-    return
-end</code></pre>
-<p>The size of the output image determines how many elements we need to process. This needs to be translated to a number of threads and blocks, keeping in mind device and kernel characteristics. We automate this using the occupancy API:</p>
-<pre><code class="language-julia-repl">julia&gt; outimg_d &#61; CuArray&#123;eltype&#40;img′&#41;&#125;&#40;undef, 500, 1000&#41;;julia&gt; function configurator&#40;kernel&#41;
-           config &#61; launch_configuration&#40;kernel.fun&#41;           threads &#61; Base.min&#40;length&#40;outimg_d&#41;, config.threads&#41;
-           blocks &#61; cld&#40;length&#40;outimg_d&#41;, threads&#41;           return &#40;threads&#61;threads, blocks&#61;blocks&#41;
-       endjulia&gt; @cuda config&#61;configurator warp&#40;outimg_d, texture&#41;</code></pre>
-<p>Finally, we fetch and visualize the output:</p>
-<pre><code class="language-julia-repl">julia&gt; outimg &#61; Array&#40;outimg_d&#41;julia&gt; save&#40;&quot;imgwarp.png&quot;, reinterpret&#40;eltype&#40;img&#41;, outimg&#41;&#41;</code></pre>
-<figure>
-  <img src="https://juliagpu.org/post/2020-07-07-cuda_1.1/imgwarp.png" alt="Warped lighthouse">
-</figure><h2 id="minor_features">Minor features</h2>
-<p>The test-suite is now parallelized, using up-to <code>JULIA_NUM_THREADS</code> processes:</p>
-<pre><code class="language-julia">&#36; JULIA_NUM_THREADS&#61;4 julia -e &#39;using Pkg; Pkg.test&#40;&quot;CUDA&quot;&#41;;&#39;                                     |          | ---------------- GPU ---------------- | ---------------- CPU ---------------- |
-Test                        &#40;Worker&#41; | Time &#40;s&#41; | GC &#40;s&#41; | GC &#37; | Alloc &#40;MB&#41; | RSS &#40;MB&#41; | GC &#40;s&#41; | GC &#37; | Alloc &#40;MB&#41; | RSS &#40;MB&#41; |
-initialization                   &#40;2&#41; |     2.52 |   0.00 |  0.0 |       0.00 |   115.00 |   0.05 |  1.8 |     153.13 |   546.27 |
-apiutils                         &#40;4&#41; |     0.55 |   0.00 |  0.0 |       0.00 |   115.00 |   0.02 |  4.0 |      75.86 |   522.36 |
-codegen                          &#40;4&#41; |    14.81 |   0.36 |  2.5 |       0.00 |   157.00 |   0.62 |  4.2 |    1592.28 |   675.15 |
-...
-gpuarrays/mapreduce essentials   &#40;2&#41; |   113.52 |   0.01 |  0.0 |       3.19 |   641.00 |   2.61 |  2.3 |    8232.84 |  2449.35 |
-gpuarrays/mapreduce &#40;old tests&#41;  &#40;5&#41; |   138.35 |   0.01 |  0.0 |     130.20 |   507.00 |   2.94 |  2.1 |    8615.15 |  2353.62 |
-gpuarrays/mapreduce derivatives  &#40;3&#41; |   180.52 |   0.01 |  0.0 |       3.06 |   229.00 |   3.44 |  1.9 |   12262.67 |  1403.39 |Test Summary: |  Pass  Broken  Total
-  Overall     | 11213       3  11216
-    SUCCESS
-    Testing CUDA tests passed</code></pre>
-<p>A copy of <code>Base.versioninfo&#40;&#41;</code> is available to report on the CUDA toolchain and any devices:</p>
-<pre><code class="language-julia-repl">julia&gt; CUDA.versioninfo&#40;&#41;
-CUDA toolkit 10.2.89, artifact installation
-CUDA driver 11.0.0
-NVIDIA driver 450.36.6Libraries:
-- CUBLAS: 10.2.2
-- CURAND: 10.1.2
-- CUFFT: 10.1.2
-- CUSOLVER: 10.3.0
-- CUSPARSE: 10.3.1
-- CUPTI: 12.0.0
-- NVML: 11.0.0&#43;450.36.6
-- CUDNN: 7.6.5 &#40;for CUDA 10.2.0&#41;
-- CUTENSOR: 1.1.0 &#40;for CUDA 10.2.0&#41;Toolchain:
-- Julia: 1.5.0-rc1.0
-- LLVM: 9.0.1
-- PTX ISA support: 3.2, 4.0, 4.1, 4.2, 4.3, 5.0, 6.0, 6.1, 6.3, 6.4
-- Device support: sm_35, sm_37, sm_50, sm_52, sm_53, sm_60, sm_61, sm_62, sm_70, sm_72, sm_751 device&#40;s&#41;:
-- Quadro RTX 5000 &#40;sm_75, 14.479 GiB / 15.744 GiB available&#41;</code></pre>
-<p>CUTENSOR artifacts have been upgraded to version 1.1.0.</p>
-<p>Benchmarking infrastructure based on the Codespeed project has been set-up at <a href="https://speed.juliagpu.org/">speed.juliagpu.org</a> to keep track of the performance of various operations.</p>
-]]></content:encoded>
-    
-  <pubDate>Tue, 07 Jul 2020 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[CUDAnative.jl 3.0 and CuArrays.jl 2.0]]></title>
-  <link>https://juliagpu.org/post/2020-03-25-cudanative_3.0-cuarrays_2.0/index.html</link>
-  <guid>https://juliagpu.org/cudanative_3.0-cuarrays_2.0/</guid>
-  <description><![CDATA[This release of the Julia CUDA stack contains some exciting new features: automatic installation of CUDA using artifacts, full support for GPU method redefinitions, and experimental support for multitasking and multithreading. The release is technically breaking, but most end-users should not be affected.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>This post is located at <a href="https://juliagpu.org/cudanative_3.0-cuarrays_2.0/">/cudanative_3.0-cuarrays_2.0/</a></p>
-<p>This release of the Julia CUDA stack contains some exciting new features: automatic installation of CUDA using artifacts, full support for GPU method redefinitions, and experimental support for multitasking and multithreading. The release is technically breaking, but most end-users should not be affected.</p>
-<h2 id="api_changes">API changes</h2>
-<p>Changes to certain APIs require these releases to be breaking, however, most users should not be affected and chances are you can just bump your Compat entries without any additional changes. Flux.jl users will have to wait a little longer though, as the package uses non-public APIs that have changed and <a href="https://github.com/FluxML/Flux.jl/pull/1050">requires an update</a>.</p>
-<h2 id="artifacts">Artifacts</h2>
-<p>CUDA and its dependencies will now be automatically installed using artifacts generated by BinaryBuilder.jl. This greatly improves usability, and only requires a functioning NVIDIA driver:</p>
-<pre><code class="language-julia-repl">julia&gt; ENV&#91;&quot;JULIA_DEBUG&quot;&#93; &#61; &quot;CUDAnative&quot;julia&gt; using CUDAnativejulia&gt; CUDAnative.version&#40;&#41;
-┌ Debug: Trying to use artifacts...
-└ @ CUDAnative CUDAnative/src/bindeps.jl:52
-┌ Debug: Using CUDA 10.2.89 from an artifact at /depot/artifacts/...
-└ @ CUDAnative CUDAnative/src/bindeps.jl:108
-v&quot;10.2.89&quot;</code></pre>
-<p>Use of a local installation is still possible by setting the environment variable <code>JULIA_CUDA_USE_BINARYBUILDER</code> to false. For more details, refer to <a href="https://cuda.juliagpu.org/stable/installation/overview/">the documentation</a>.</p>
-<p>Relevant PRs: <a href="https://github.com/JuliaGPU/CUDAnative.jl/pull/492">CUDAnative.jl#492</a> and <a href="https://github.com/JuliaGPU/CuArrays.jl/pull/490">CuArrays.jl#490</a></p>
-<h2 id="method_redefinitions">Method redefinitions</h2>
-<p>CUDAnative 3.0 now fully supports method redefinitions, commonly referred to as <a href="https://github.com/JuliaLang/julia/issues/265">Julia issue #265</a>, and makes it possible to use interactive programming tools like Revise.jl:</p>
-<pre><code class="language-julia-repl">julia&gt; child&#40;&#41; &#61; 0
-julia&gt; parent&#40;&#41; &#61; &#40;@cuprintln&#40;child&#40;&#41;&#41;; return&#41;
-julia&gt; @cuda parent&#40;&#41;
-0julia&gt; parent&#40;&#41; &#61; &#40;@cuprintln&#40;child&#40;&#41; &#43; 1&#41;; return&#41;
-julia&gt; @cuda parent&#40;&#41;
-1
-julia&gt; child&#40;&#41; &#61; 1
-julia&gt; @cuda parent&#40;&#41;
-2</code></pre>
-<p>Relevant PRs: <a href="https://github.com/JuliaGPU/CUDAnative.jl/pull/581">CUDAnative.jl#581</a></p>
-<h2 id="experimental_multitasking_and_multithreading">Experimental: Multitasking and multithreading</h2>
-<p>With CUDAnative 3.0 and CuArrays 2.0 you can now use Julia tasks and threads to organize your code. In combination with CUDA streams, this makes it possible to execute kernels and other GPU operations in parallel:</p>
-<pre><code class="language-julia">@sync begin
-    function my_expensive_kernel&#40;&#41;
-        return
-    end
-    @async @cuda stream&#61;CuStream&#40;&#41; my_expensive_kernel&#40;&#41;
-    @async @cuda stream&#61;CuStream&#40;&#41; my_expensive_kernel&#40;&#41;
-end</code></pre>
-<p>Every task, whether it runs on a separate thread or not, can work with a different device, as well as independently work with CUDA libraries like CUBLAS and CUFFT.</p>
-<p>Note that this support is experimental, and lacks certain features to be fully effective. For one, the CuArrays memory allocator is not device-aware, and it is currently not possible to configure the CUDA stream for operations like map or broadcast.</p>
-<p>Relevant PRs: <a href="https://github.com/JuliaGPU/CUDAnative.jl/pull/609">CUDAnative.jl#609</a> and <a href="https://github.com/JuliaGPU/CuArrays.jl/pull/645">CuArrays.jl#645</a></p>
-<h2 id="minor_changes">Minor changes</h2>
-<p>GPU kernels are now name-mangled like C&#43;&#43;, which offers better integration with NVIDIA tools &#40;<a href="https://github.com/JuliaGPU/CUDAnative.jl/pull/559">CUDAnative.jl#559</a>&#41;.</p>
-<p>A better N-dimensional <code>mapreducedim&#33;</code> kernel, properly integrating with all Base interfaces &#40;<a href="https://github.com/JuliaGPU/CuArrays.jl/pull/602">CuArrays.jl#602</a> and <a href="https://github.com/JuliaGPU/GPUArrays.jl/pull/246">GPUArrays#246</a>&#41;.</p>
-<p>A <code>CuIterator</code> type for batching arrays to the GPU &#40;by @jrevels, <a href="https://github.com/JuliaGPU/CuArrays.jl/pull/467">CuArrays.jl#467</a>&#41;.</p>
-<p>Integration with Base&#39;s 5-arg <code>mul&#33;</code> &#40;by @haampie, <a href="https://github.com/JuliaGPU/CuArrays.jl/pull/641">CuArrays.jl#641</a> and <a href="https://github.com/JuliaGPU/GPUArrays.jl/pull/253">GPUArrays#253</a>&#41;.</p>
-<p>Integration with Cthulhu.jl for interactive inspection of generated code &#40;<a href="https://github.com/JuliaGPU/CUDAnative.jl/issues/597">CUDAnative.jl#597</a>&#41;.</p>
-<h2 id="known_issues">Known issues</h2>
-<p>With a release as big as this one there&#39;s bound to be some bugs, e.g., with the installation of artifacts on exotic systems, or due to the many changes to make the libraries thread-safe. If you need absolute stability, please wait for a point release.</p>
-<p>There are also some known issues. CUDAnative is currently not compatible with Julia 1.5 due to Base compiler changes &#40;<a href="https://github.com/JuliaLang/julia/issues/34993">julia#34993</a>&#41;, the new <code>mapreducedim&#33;</code> kernel appears to be slower in some cases &#40;<a href="https://github.com/JuliaGPU/CuArrays.jl/issues/611">CuArrays.jl#611</a>&#41;, and there are some remaining thread-safety issues when using the non-default memory pool &#40;<a href="https://github.com/JuliaGPU/CuArrays.jl/issues/647">CuArrays.jl#647</a>&#41;.</p>
-]]></content:encoded>
-    
-  <pubDate>Wed, 25 Mar 2020 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-
-<item>
-  <title><![CDATA[New website for JuliaGPU]]></title>
-  <link>https://juliagpu.org/post/2019-12-12-new_site/index.html</link>
-  <guid>https://juliagpu.org/new_site/</guid>
-  <description><![CDATA[Welcome to the new landing page for the JuliaGPU organization. This website serves as an introduction to the several packages for programming GPUs in Julia, with pointers to relevant resources for new users.]]></description>  
-  
-  <content:encoded><![CDATA[
-<p>This post is located at <a href="https://juliagpu.org/new_site/">/new_site/</a></p>
-<p>Welcome to the new landing page for the JuliaGPU organization. This website serves as an introduction to the several packages for programming GPUs in Julia, with pointers to relevant resources for new users.</p>
-<p>The sources for this website are hosted at <a href="https://github.com/JuliaGPU/juliagpu.org">GitHub</a> and generated using Hugo, feel free to open an issue or pull request if you think it could be improved.</p>
-]]></content:encoded>
-    
-  <pubDate>Thu, 12 Dec 2019 00:00:00 +0000</pubDate>  
-  
-  
-  <atom:author>
-    <atom:name>Tim Besard</atom:name>
-  </atom:author>
-        
-</item>
-</channel></rss>
\ No newline at end of file
diff --git a/previews/PR41/robots.txt b/previews/PR41/robots.txt
deleted file mode 100644
index 959563f..0000000
--- a/previews/PR41/robots.txt
+++ /dev/null
@@ -1,4 +0,0 @@
-Sitemap: https://juliagpu.org/sitemap.xml
-
-User-agent: *
-Disallow:
diff --git a/previews/PR41/rocm/index.html b/previews/PR41/rocm/index.html
deleted file mode 100644
index c8a03ce..0000000
--- a/previews/PR41/rocm/index.html
+++ /dev/null
@@ -1,203 +0,0 @@
-<!doctype html>
-<html lang="en" class=h-100>
-<head>
-  <meta charset="UTF-8">
-  <meta name="viewport" content="width=device-width,initial-scale=1,shrink-to-fit=no">
-  <meta content="index, follow" name=robots>
-  <link rel="icon" href="/previews/PR41/assets/favicon.ico">
-  <link rel="alternate" type="application/rss+xml" href="/previews/PR41/post/index.xml" title="RSS Feed for JuliaGPU">
-
-  <link rel="stylesheet" href="/previews/PR41/css/bootstrap.min.css">
-  
-  
-
-  <style>
- .hljs {
-     padding: 0;
-     background: 0 0
- }
-.container {
-   max-width: 700px
-}
-
-#nav-border {
-   border-bottom: 1px solid #212529
-}
-
-#main {
-   margin-top: 1em;
-   margin-bottom: 4em
-}
-
-#home-jumbotron {
-   background-color: inherit
-}
-
-#footer .container {
-   padding: 1em 0
-}
-
-#footer a {
-   color: inherit;
-   text-decoration: underline
-}
-
-.font-125 {
-   font-size: 125%
-}
-
-.tag-btn {
-   margin-bottom: .3em
-}
-
-pre {
-   background-color: #f5f5f5;
-   border: 1px solid #ccc;
-   border-radius: 4px;
-   padding: 16px
-}
-
-pre code {
-   padding: 0;
-   font-size: inherit;
-   color: inherit;
-   background-color: transparent;
-   border-radius: 0
-}
-
-code {
-   padding: 2px 4px;
-   font-size: 90%;
-   color: #c7254e;
-   background-color: #f9f2f4;
-   border-radius: 4px
-}
-
-img,
-iframe,
-embed,
-video,
-audio {
-   max-width: 100%
-}
-
-.card-img,
-.card-img-top,
-.card-img-bottom {
-   width: initial
-}
-
-#main h1>a, #main h2>a, #main h3>a {
-   color: inherit;
-   text-decoration: none;
-}
-
-li p {
-   margin: 0
-}
-
-</style>
-
-
-  
-  
-    <title>AMD ROCm ⋅ JuliaGPU</title>
-  
-</head>
-<body class="d-flex flex-column h-100">
-  <div id=nav-border class=container>
-    <nav class="navbar navbar-expand-lg navbar-light justify-content-center">
-        <ul class=navbar-nav>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/"><i data-feather=home></i>Home</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/post/"><i data-feather=file-text></i>Blog</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/learn/"><i data-feather=book-open></i>Learn</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/cuda/">CUDA</a>
-            </li>
-            <li class="nav-item active"><a class=nav-link href="/previews/PR41/rocm/">ROCm</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/oneapi/">oneAPI</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/metal/">Metal</a>
-            </li>
-            <li class="nav-item "><a class=nav-link href="/previews/PR41/other/">Other</a>
-            </li>
-        </ul>
-    </nav>
-</div>
-
-
-  <div class="container">
-    <main id=main>
-
-    
-<!-- Content appended here -->
-
-<h1 id="amd_rocm"><a href="#amd_rocm" class="header-anchor">AMD ROCm</a></h1>
-
-<p>
-  <a href="https://amdgpu.juliagpu.org/stable/">
-    <img src="https://img.shields.io/badge/docs-stable-blue.svg" alt>
-  </a>
-  <a href="https://github.com/JuliaGPU/AMDGPU.jl">
-    <img src="https://img.shields.io/github/stars/JuliaGPU/AMDGPU.jl?style=social" alt>
-  </a>
-</p>
-
-<p>The Julia programming support for AMD GPUs based on the ROCm platform aims to provide similar capabilities as the <a href="/previews/PR41/cuda/">NVIDIA CUDA</a> stack, with support for both low-level kernel programming as well as an array-oriented interface. <a href="https://github.com/JuliaGPU/AMDGPU.jl">AMDGPU.jl</a> offers comparable performance as HIP C&#43;&#43;. The toolchain can easily be installed on latest version of Julia  using the integrated package manager.</p>
-<p>AMDGPU.jl makes it possible to program AMD GPUs at different abstraction levels:</p>
-<ul>
-<li><p>by using the <code>ROCArray</code> type, providing a user-friendly yet powerful abstraction that does not require any GPU programming experience;</p>
-</li>
-<li><p>by writing ROC kernels, with similar performance as kernels written in HIP C&#43;&#43;;</p>
-</li>
-<li><p>by interfacing with HIP APIs and libraries directly, similar level of flexibility you would expect from a C-based programming environment.</p>
-</li>
-</ul>
-<p>The <a href="https://amdgpu.juliagpu.org/stable/">documentation</a> of AMDGPU.jl demonstrates each of these approaches.</p>
-<h1 id="performance"><a href="#performance" class="header-anchor">Performance</a></h1>
-<p>Julia on the CPU is known for its good performance, approaching that of statically compiled languages like C. The same holds for programming AMD GPUs with kernels written using AMDGPU.jl, where we show preliminary performance to approach that of HIP C&#43;&#43; on a memcopy and 2D diffusion kernel:</p>
-
-<div class="card mb-3">
-  <a href="/previews/PR41/assets/img/amdgpu-performance.png">
-    <img src="/previews/PR41/assets/img/amdgpu-performance.png" class=card-img-top alt>
-  </a>
-  <div class=card-body>
-    <p class=card-text>
-      Preliminary performance of a memcopy and 2D diffusion kernel implemented in
-      Julia with AMDGPU.jl and executed on a MI250x GPU.
-    </p>
-  </div>
-</div>
-
-<!-- CONTENT ENDS HERE -->
-      </main>
-    </div> <!-- class="container" -->
-
-
-    
-    
-
-    <footer id=footer class="mt-auto text-center text-muted">
-        <div class=container>Made with <a href=https://franklinjl.org>Franklin.jl</a> and <a href=https://julialang.org>the Julia programming language</a>.</div>
-    </footer>
-
-    <!-- FEATHER -->
-    <script src="/previews/PR41/libs/feather/feather.min.js"></script>
-    <script>feather.replace()</script>
-
-    <!-- GOOGLE ANALYTICS -->
-    <script>
-    window.ga = window.ga || function() {
-        (ga.q = ga.q || []).push(arguments)
-    };
-    ga.l = +new Date;
-    ga('create', 'UA-154489943-1', 'auto');
-    ga('send', 'pageview');
-    </script>
-    <script async src=https://www.google-analytics.com/analytics.js></script>
-
-  </body>
-</html>
diff --git a/previews/PR41/sitemap.xml b/previews/PR41/sitemap.xml
deleted file mode 100644
index 8f5579c..0000000
--- a/previews/PR41/sitemap.xml
+++ /dev/null
@@ -1,58 +0,0 @@
-<?xml version="1.0" encoding="utf-8" standalone="yes" ?>
-<urlset xmlns="http://www.sitemaps.org/schemas/sitemap/0.9">
-
-<url>
-    <loc>https://juliagpu.org/post/index.html</loc>
-    <lastmod>2024-04-21</lastmod>
-    <changefreq>monthly</changefreq>
-    <priority>0.5</priority>
-</url>
-<url>
-    <loc>https://juliagpu.org/rocm/index.html</loc>
-    <lastmod>2024-04-21</lastmod>
-    <changefreq>monthly</changefreq>
-    <priority>0.5</priority>
-</url>
-<url>
-    <loc>https://juliagpu.org/learn/index.html</loc>
-    <lastmod>2024-04-21</lastmod>
-    <changefreq>monthly</changefreq>
-    <priority>0.5</priority>
-</url>
-<url>
-    <loc>https://juliagpu.org/404/index.html</loc>
-    <lastmod>2024-04-21</lastmod>
-    <changefreq>monthly</changefreq>
-    <priority>0.5</priority>
-</url>
-<url>
-    <loc>https://juliagpu.org/cuda/index.html</loc>
-    <lastmod>2024-04-21</lastmod>
-    <changefreq>monthly</changefreq>
-    <priority>0.5</priority>
-</url>
-<url>
-    <loc>https://juliagpu.org/index.html</loc>
-    <lastmod>2024-04-21</lastmod>
-    <changefreq>monthly</changefreq>
-    <priority>0.5</priority>
-</url>
-<url>
-    <loc>https://juliagpu.org/oneapi/index.html</loc>
-    <lastmod>2024-04-21</lastmod>
-    <changefreq>monthly</changefreq>
-    <priority>0.5</priority>
-</url>
-<url>
-    <loc>https://juliagpu.org/metal/index.html</loc>
-    <lastmod>2024-04-21</lastmod>
-    <changefreq>monthly</changefreq>
-    <priority>0.5</priority>
-</url>
-<url>
-    <loc>https://juliagpu.org/other/index.html</loc>
-    <lastmod>2024-04-21</lastmod>
-    <changefreq>monthly</changefreq>
-    <priority>0.5</priority>
-</url>
-</urlset>
diff --git a/sitemap.xml b/sitemap.xml
index 17e3a94..8f5579c 100644
--- a/sitemap.xml
+++ b/sitemap.xml
@@ -3,55 +3,55 @@
 
 <url>
     <loc>https://juliagpu.org/post/index.html</loc>
-    <lastmod>2024-01-02</lastmod>
+    <lastmod>2024-04-21</lastmod>
     <changefreq>monthly</changefreq>
     <priority>0.5</priority>
 </url>
 <url>
     <loc>https://juliagpu.org/rocm/index.html</loc>
-    <lastmod>2024-01-02</lastmod>
+    <lastmod>2024-04-21</lastmod>
     <changefreq>monthly</changefreq>
     <priority>0.5</priority>
 </url>
 <url>
     <loc>https://juliagpu.org/learn/index.html</loc>
-    <lastmod>2024-01-02</lastmod>
+    <lastmod>2024-04-21</lastmod>
     <changefreq>monthly</changefreq>
     <priority>0.5</priority>
 </url>
 <url>
     <loc>https://juliagpu.org/404/index.html</loc>
-    <lastmod>2024-01-02</lastmod>
+    <lastmod>2024-04-21</lastmod>
     <changefreq>monthly</changefreq>
     <priority>0.5</priority>
 </url>
 <url>
     <loc>https://juliagpu.org/cuda/index.html</loc>
-    <lastmod>2024-01-02</lastmod>
+    <lastmod>2024-04-21</lastmod>
     <changefreq>monthly</changefreq>
     <priority>0.5</priority>
 </url>
 <url>
     <loc>https://juliagpu.org/index.html</loc>
-    <lastmod>2024-01-02</lastmod>
+    <lastmod>2024-04-21</lastmod>
     <changefreq>monthly</changefreq>
     <priority>0.5</priority>
 </url>
 <url>
     <loc>https://juliagpu.org/oneapi/index.html</loc>
-    <lastmod>2024-01-02</lastmod>
+    <lastmod>2024-04-21</lastmod>
     <changefreq>monthly</changefreq>
     <priority>0.5</priority>
 </url>
 <url>
     <loc>https://juliagpu.org/metal/index.html</loc>
-    <lastmod>2024-01-02</lastmod>
+    <lastmod>2024-04-21</lastmod>
     <changefreq>monthly</changefreq>
     <priority>0.5</priority>
 </url>
 <url>
     <loc>https://juliagpu.org/other/index.html</loc>
-    <lastmod>2024-01-02</lastmod>
+    <lastmod>2024-04-21</lastmod>
     <changefreq>monthly</changefreq>
     <priority>0.5</priority>
 </url>