diff --git a/404.html b/404.html
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@@ -59,7 +59,7 @@
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-  postUpdate: '2024-02-01 17时19分47秒 17:19:47'
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diff --git a/about/index.html b/about/index.html
index a6e2dc28..3b9910c9 100644
--- a/about/index.html
+++ b/about/index.html
@@ -210,7 +210,7 @@ <h3 id="作者声明">作者声明</h3>
 <p>嘿嘿！靓仔，今天也要有个好心情哦！</p>
 <h3 id="联系作者">联系作者</h3>
 <p>通过页面底部的按钮，跳转到一些联系方式找到我吧～</p>
-</div><hr/><div id="post-comment"><div class="comment-head"><div class="comment-headline"><i class="fas fa-comments fa-fw"></i><span> 评论</span></div></div><div class="comment-wrap"><div><div id="twikoo-wrap"></div></div></div></div></div><div class="aside-content" id="aside-content"><div class="card-widget card-info"><div class="is-center"><div class="avatar-img"><img src="https://cravatar.cn/avatar/6fa57e21db3ba5961f18a8ae75d0a081" onerror="this.onerror=null;this.src='/img/err_img404.gif'" alt="avatar"/></div><div class="author-info__name">drluo</div><div class="author-info__description"></div></div><div class="card-info-data site-data is-center"><a href="/archives/"><div class="headline">文章</div><div class="length-num">57</div></a><a href="/tags/"><div class="headline">标签</div><div class="length-num">37</div></a><a href="/categories/"><div class="headline">分类</div><div class="length-num">16</div></a></div><a id="card-info-btn" target="_blank" rel="noopener" href="https://github.com/luoy-oss"><i class="fab fa-github"></i><span>送上星星</span></a><div class="card-info-social-icons is-center"><a class="social-icon" href="https://github.com/luoy-oss" target="_blank" title="Github"><i class="fab fa-github"></i></a><a class="social-icon" href="mailto:wang2557657882@gmail.com" target="_blank" title="Email"><i class="fas fa-envelope"></i></a></div></div><div class="card-widget card-announcement"><div class="item-headline"><i class="fas fa-bullhorn fa-shake"></i><span>公告</span></div><div class="announcement_content">一二七七...唔</div></div><!--标签--><div class="card-widget card-tags"><div class="item-headline"><i class="fas fa-tags"></i><span>标签</span></div><div class="card-tag-cloud"><a href="/tags/PyTorch/" style="font-size: 1.15em; 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diff --git a/archives/2021/04/index.html b/archives/2021/04/index.html
index be6320d7..546880fa 100644
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index 98c01038..423c0f0f 100644
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alt="avatar"/></div><div class="author-info__name">drluo</div><div class="author-info__description"></div></div><div class="card-info-data site-data is-center"><a href="/archives/"><div class="headline">文章</div><div class="length-num">57</div></a><a href="/tags/"><div class="headline">标签</div><div class="length-num">37</div></a><a href="/categories/"><div class="headline">分类</div><div class="length-num">16</div></a></div><a id="card-info-btn" target="_blank" rel="noopener" href="https://github.com/luoy-oss"><i class="fab fa-github"></i><span>送上星星</span></a><div class="card-info-social-icons is-center"><a class="social-icon" href="https://github.com/luoy-oss" target="_blank" title="Github"><i class="fab fa-github"></i></a><a class="social-icon" href="mailto:wang2557657882@gmail.com" target="_blank" title="Email"><i class="fas fa-envelope"></i></a></div></div><div class="card-widget card-announcement"><div class="item-headline"><i class="fas fa-bullhorn 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115, 108)">夸父计划</a><a href="/tags/AIR%E5%AE%9E%E9%AA%8C%E5%AE%A4/" style="font-size: 1.15em; color: rgb(126, 155, 47)">AIR实验室</a><a href="/tags/C%E8%AF%AD%E8%A8%80%E8%80%83%E6%A0%B8/" style="font-size: 1.15em; color: rgb(11, 90, 196)">C语言考核</a><a href="/tags/%E4%B8%8E%E6%88%91%E6%9C%89%E5%85%B3/" style="font-size: 1.15em; color: rgb(53, 115, 170)">与我有关</a><a href="/tags/%E6%B4%9B%E8%B0%B7/" style="font-size: 1.15em; color: rgb(95, 7, 197)">洛谷</a><a href="/tags/gitee/" style="font-size: 1.15em; color: rgb(71, 19, 96)">gitee</a><a href="/tags/Java/" style="font-size: 1.15em; color: rgb(32, 60, 22)">Java</a><a href="/tags/HTML/" style="font-size: 1.15em; color: rgb(120, 38, 134)">HTML</a><a href="/tags/JavaScript/" style="font-size: 1.15em; color: rgb(12, 57, 196)">JavaScript</a></div></div><div class="sticky_layout"><!--最新文章--><!--!=partial('includes/widget/card_recent_post', {}, {cache: true})--><!----><!--最新文章--><!--分类--><!-- !=partial('includes/widget/card_categories', {}, {cache: 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45)">stack</a><a href="/tags/%E5%A4%B8%E7%88%B6%E8%AE%A1%E5%88%92/" style="font-size: 1.15em; color: rgb(147, 115, 108)">夸父计划</a><a href="/tags/AIR%E5%AE%9E%E9%AA%8C%E5%AE%A4/" style="font-size: 1.15em; color: rgb(126, 155, 47)">AIR实验室</a><a href="/tags/C%E8%AF%AD%E8%A8%80%E8%80%83%E6%A0%B8/" style="font-size: 1.15em; color: rgb(11, 90, 196)">C语言考核</a><a href="/tags/%E4%B8%8E%E6%88%91%E6%9C%89%E5%85%B3/" style="font-size: 1.15em; color: rgb(53, 115, 170)">与我有关</a><a href="/tags/%E6%B4%9B%E8%B0%B7/" style="font-size: 1.15em; color: rgb(95, 7, 197)">洛谷</a><a href="/tags/gitee/" style="font-size: 1.15em; color: rgb(71, 19, 96)">gitee</a><a href="/tags/Java/" style="font-size: 1.15em; color: rgb(32, 60, 22)">Java</a><a href="/tags/HTML/" style="font-size: 1.15em; color: rgb(120, 38, 134)">HTML</a><a href="/tags/JavaScript/" style="font-size: 1.15em; color: rgb(12, 57, 196)">JavaScript</a></div></div><div class="sticky_layout"><!--最新文章--><!--!=partial('includes/widget/card_recent_post', {}, 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diff --git a/archives/page/4/index.html b/archives/page/4/index.html
index 1215d6c5..85cd105b 100644
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@@ -59,7 +59,7 @@
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@@ -182,4 +182,4 @@
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diff --git a/archives/page/5/index.html b/archives/page/5/index.html
index 484be651..92fe8f8d 100644
--- a/archives/page/5/index.html
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@@ -59,7 +59,7 @@
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+  postUpdate: '2024-02-01 17时21分58秒 17:21:58'
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@@ -182,4 +182,4 @@
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@@ -59,7 +59,7 @@
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@@ -182,4 +182,4 @@
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class="article-sort-item"><a class="article-sort-item-img" href="/posts/5491" title="【LeetCode 1617】统计子树中城市之间最大距离"><img src="/img/cover/BiTree.webp" alt="【LeetCode 1617】统计子树中城市之间最大距离" onerror="this.onerror=null;this.src='/img/err_img404.jpg'"></a><div class="article-sort-item-info"><div class="article-sort-item-time"><i class="far fa-calendar-alt"></i><time class="post-meta-date-created" datetime="2023-03-12T09:08:27.000Z" title="发表于 2023-03-12 17时08分27秒 17:08:27">2023-03-12 17时08分27秒</time></div><a class="article-sort-item-title" href="/posts/5491" title="【LeetCode 1617】统计子树中城市之间最大距离">【LeetCode 1617】统计子树中城市之间最大距离</a></div></div><div class="article-sort-item"><a class="article-sort-item-img" href="/posts/27662" title="C语言学习相关"><img src="/img/cover/%E4%B8%83%E4%B8%83.webp" alt="C语言学习相关" onerror="this.onerror=null;this.src='/img/err_img404.jpg'"></a><div class="article-sort-item-info"><div class="article-sort-item-time"><i class="far fa-calendar-alt"></i><time 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style="font-size: 1.15em; color: rgb(180, 77, 47)">高精度</a><a href="/tags/%E6%BB%9A%E5%8A%A8%E6%95%B0%E7%BB%84/" style="font-size: 1.15em; color: rgb(79, 42, 21)">滚动数组</a><a href="/tags/%E4%BC%98%E5%8C%96/" style="font-size: 1.15em; color: rgb(42, 165, 88)">优化</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.3em; color: rgb(27, 51, 79)">二叉树</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%90%9C%E7%B4%A2%E6%A0%91/" style="font-size: 1.15em; color: rgb(53, 198, 9)">二叉搜索树</a><a href="/tags/%E5%B9%B3%E8%A1%A1%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.15em; color: rgb(198, 24, 193)">平衡二叉树</a><a href="/tags/%E6%A0%88/" style="font-size: 1.15em; color: rgb(34, 7, 186)">栈</a><a href="/tags/%E5%9B%BE/" style="font-size: 1.25em; color: rgb(182, 70, 67)">图</a><a href="/tags/stack/" style="font-size: 1.15em; color: rgb(186, 121, 45)">stack</a><a href="/tags/%E5%A4%B8%E7%88%B6%E8%AE%A1%E5%88%92/" style="font-size: 1.15em; color: rgb(147, 115, 108)">夸父计划</a><a 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diff --git a/categories/CH32/index.html b/categories/CH32/index.html
index eff96d51..2380d9da 100644
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class="menus_item_child"><li><a class="site-page child" href="/tags/"><i class="fa-fw fas fa-tags"></i><span> 标签</span></a></li><li><a class="site-page child" href="/categories/"><i class="fa-fw fas fa-folder-open"></i><span> 分类</span></a></li><li><a class="site-page child" href="/archives/"><i class="fa-fw fas fa-archive"></i><span> 时间轴</span></a></li></ul></div><div class="menus_item"><a class="site-page" href="/about/"><i class="fa-fw fas fa-heart"></i><span> 关于</span></a></div><div class="menus_item"><a class="site-page" href="/message/"><i class="fa-fw fas fa-comment"></i><span> 留言板</span></a></div></div><div id="toggle-menu"><a class="site-page" href="javascript:void(0);"><i class="fas fa-bars fa-fw"></i></a></div></div></nav><div id="page-site-info"><h1 id="site-title">CH32</h1></div></header><main class="layout" id="content-inner"><div id="category"><div class="article-sort-title">分类 - CH32</div><div class="article-sort"><div class="article-sort-item year">2023</div><div class="article-sort-item"><a class="article-sort-item-img" href="/posts/57388" title="CH32(F10X F20X)"><img src="/img/cover/stm32.webp" alt="CH32(F10X F20X)" onerror="this.onerror=null;this.src='/img/err_img404.jpg'"></a><div class="article-sort-item-info"><div class="article-sort-item-time"><i class="far fa-calendar-alt"></i><time class="post-meta-date-created" datetime="2023-03-11T14:01:12.000Z" title="发表于 2023-03-11 22时01分12秒 22:01:12">2023-03-11 22时01分12秒</time></div><a class="article-sort-item-title" href="/posts/57388" title="CH32(F10X F20X)">CH32(F10X F20X)</a></div></div></div><nav id="pagination"><div class="pagination"><span class="page-number current">1</span></div></nav></div><div class="aside-content" id="aside-content"><div class="card-widget card-info"><div class="is-center"><div class="avatar-img"><img src="https://cravatar.cn/avatar/6fa57e21db3ba5961f18a8ae75d0a081" onerror="this.onerror=null;this.src='/img/err_img404.gif'" alt="avatar"/></div><div class="author-info__name">drluo</div><div class="author-info__description"></div></div><div class="card-info-data site-data is-center"><a href="/archives/"><div class="headline">文章</div><div class="length-num">57</div></a><a href="/tags/"><div class="headline">标签</div><div class="length-num">37</div></a><a href="/categories/"><div class="headline">分类</div><div class="length-num">16</div></a></div><a id="card-info-btn" target="_blank" rel="noopener" href="https://github.com/luoy-oss"><i class="fab fa-github"></i><span>送上星星</span></a><div class="card-info-social-icons is-center"><a class="social-icon" href="https://github.com/luoy-oss" target="_blank" title="Github"><i class="fab fa-github"></i></a><a class="social-icon" href="mailto:wang2557657882@gmail.com" target="_blank" title="Email"><i class="fas fa-envelope"></i></a></div></div><div class="card-widget card-announcement"><div class="item-headline"><i class="fas fa-bullhorn fa-shake"></i><span>公告</span></div><div class="announcement_content">一二七七...唔</div></div><!--标签--><div class="card-widget card-tags"><div class="item-headline"><i class="fas fa-tags"></i><span>标签</span></div><div class="card-tag-cloud"><a href="/tags/PyTorch/" style="font-size: 1.15em; color: rgb(136, 188, 88)">PyTorch</a><a href="/tags/Python/" style="font-size: 1.35em; color: rgb(60, 126, 55)">Python</a><a href="/tags/NLP/" style="font-size: 1.15em; color: rgb(190, 47, 79)">NLP</a><a href="/tags/STL/" style="font-size: 1.15em; color: rgb(145, 46, 19)">STL</a><a href="/tags/%E6%A0%BC%E5%BC%8F%E5%8C%96%E8%BE%93%E5%87%BA/" style="font-size: 1.15em; color: rgb(27, 102, 6)">格式化输出</a><a href="/tags/C%E8%AF%AD%E8%A8%80/" style="font-size: 1.4em; color: rgb(40, 95, 80)">C语言</a><a href="/tags/C/" style="font-size: 1.45em; color: rgb(123, 62, 157)">C++</a><a href="/tags/%E6%B7%B1%E5%BA%A6%E5%AD%A6%E4%B9%A0/" style="font-size: 1.25em; color: rgb(67, 0, 41)">深度学习</a><a href="/tags/%E7%A5%9E%E7%BB%8F%E7%BD%91%E7%BB%9C/" style="font-size: 1.15em; color: rgb(40, 112, 58)">神经网络</a><a href="/tags/Linux/" style="font-size: 1.15em; color: rgb(88, 79, 186)">Linux</a><a href="/tags/edgeboard-FZ3A/" style="font-size: 1.15em; color: rgb(180, 140, 168)">edgeboard-FZ3A</a><a href="/tags/Paddle/" style="font-size: 1.15em; color: rgb(65, 35, 125)">Paddle</a><a href="/tags/yolo/" style="font-size: 1.15em; color: rgb(94, 193, 101)">yolo</a><a href="/tags/tree/" style="font-size: 1.2em; color: rgb(109, 167, 113)">tree</a><a href="/tags/%E6%A0%91/" style="font-size: 1.35em; color: rgb(30, 58, 112)">树</a><a href="/tags/%E5%9B%9E%E6%BA%AF/" style="font-size: 1.2em; color: rgb(163, 113, 91)">回溯</a><a href="/tags/%E6%9E%9A%E4%B8%BE/" style="font-size: 1.15em; color: rgb(173, 24, 200)">枚举</a><a href="/tags/pta/" style="font-size: 1.2em; color: rgb(18, 60, 104)">pta</a><a href="/tags/%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92/" style="font-size: 1.2em; color: rgb(90, 78, 102)">动态规划</a><a href="/tags/%E9%AB%98%E7%B2%BE%E5%BA%A6/" style="font-size: 1.15em; color: rgb(80, 4, 188)">高精度</a><a href="/tags/%E6%BB%9A%E5%8A%A8%E6%95%B0%E7%BB%84/" style="font-size: 1.15em; color: rgb(157, 140, 36)">滚动数组</a><a href="/tags/%E4%BC%98%E5%8C%96/" style="font-size: 1.15em; color: rgb(93, 62, 142)">优化</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.3em; color: rgb(183, 84, 68)">二叉树</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%90%9C%E7%B4%A2%E6%A0%91/" style="font-size: 1.15em; color: rgb(134, 78, 196)">二叉搜索树</a><a href="/tags/%E5%B9%B3%E8%A1%A1%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.15em; color: rgb(70, 2, 44)">平衡二叉树</a><a href="/tags/%E6%A0%88/" style="font-size: 1.15em; color: rgb(125, 48, 152)">栈</a><a href="/tags/stack/" style="font-size: 1.15em; color: rgb(48, 3, 85)">stack</a><a href="/tags/%E5%9B%BE/" style="font-size: 1.25em; color: rgb(169, 62, 23)">图</a><a href="/tags/AIR%E5%AE%9E%E9%AA%8C%E5%AE%A4/" style="font-size: 1.15em; color: rgb(47, 88, 28)">AIR实验室</a><a href="/tags/C%E8%AF%AD%E8%A8%80%E8%80%83%E6%A0%B8/" style="font-size: 1.15em; color: rgb(115, 80, 97)">C语言考核</a><a href="/tags/%E5%A4%B8%E7%88%B6%E8%AE%A1%E5%88%92/" style="font-size: 1.15em; color: rgb(146, 60, 62)">夸父计划</a><a href="/tags/%E4%B8%8E%E6%88%91%E6%9C%89%E5%85%B3/" style="font-size: 1.15em; color: rgb(162, 66, 95)">与我有关</a><a href="/tags/%E6%B4%9B%E8%B0%B7/" style="font-size: 1.15em; color: rgb(85, 16, 133)">洛谷</a><a href="/tags/gitee/" style="font-size: 1.15em; color: rgb(65, 137, 74)">gitee</a><a href="/tags/Java/" style="font-size: 1.15em; color: rgb(194, 194, 10)">Java</a><a href="/tags/HTML/" style="font-size: 1.15em; color: rgb(180, 155, 30)">HTML</a><a href="/tags/JavaScript/" style="font-size: 1.15em; color: rgb(68, 37, 117)">JavaScript</a></div></div><div class="sticky_layout"><!--最新文章--><!--!=partial('includes/widget/card_recent_post', {}, {cache: true})--><!----><!--最新文章--><!--分类--><!-- !=partial('includes/widget/card_categories', {}, {cache: true}) 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留言板</span></a></div></div></div></div><div class="page" id="body-wrap"><header class="not-home-page" id="page-header" style="background-image: url('/img/bg.jpg')"><nav id="nav"><span id="blog-info"><a href="/" title="洛屿的小站"><img class="site-icon" src="/img/drluoLogo.png"/></a></span><div id="menus"><div id="search-button"><a class="site-page social-icon search" href="javascript:void(0);"><i class="fas fa-search fa-fw"></i><span> 搜索</span></a></div><div class="menus_items"><div class="menus_item"><a class="site-page" href="/"><i class="fa-fw fas fa-home"></i><span> 首页</span></a></div><div class="menus_item"><a class="site-page" href="/links/"><i class="fa-fw fas fa-link"></i><span> 友链</span></a></div><div class="menus_item"><a class="site-page" href="/music/"><i class="fa-fw fas fa-music"></i><span> 音乐</span></a></div><div class="menus_item"><a class="site-page group" href="javascript:void(0);"><i class="fa-fw fas fa-list"></i><span> 清单</span><i class="fas fa-chevron-down"></i></a><ul class="menus_item_child"><li><a class="site-page child" href="/tags/"><i class="fa-fw fas fa-tags"></i><span> 标签</span></a></li><li><a class="site-page child" href="/categories/"><i class="fa-fw fas fa-folder-open"></i><span> 分类</span></a></li><li><a class="site-page child" href="/archives/"><i class="fa-fw fas fa-archive"></i><span> 时间轴</span></a></li></ul></div><div class="menus_item"><a class="site-page" href="/about/"><i class="fa-fw fas fa-heart"></i><span> 关于</span></a></div><div class="menus_item"><a class="site-page" href="/message/"><i class="fa-fw fas fa-comment"></i><span> 留言板</span></a></div></div><div id="toggle-menu"><a class="site-page" href="javascript:void(0);"><i class="fas fa-bars fa-fw"></i></a></div></div></nav><div id="page-site-info"><h1 id="site-title">CH32</h1></div></header><main class="layout" id="content-inner"><div id="category"><div class="article-sort-title">分类 - CH32</div><div class="article-sort"><div class="article-sort-item year">2023</div><div 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href="/tags/AIR%E5%AE%9E%E9%AA%8C%E5%AE%A4/" style="font-size: 1.15em; color: rgb(126, 155, 47)">AIR实验室</a><a href="/tags/C%E8%AF%AD%E8%A8%80%E8%80%83%E6%A0%B8/" style="font-size: 1.15em; color: rgb(11, 90, 196)">C语言考核</a><a href="/tags/%E4%B8%8E%E6%88%91%E6%9C%89%E5%85%B3/" style="font-size: 1.15em; color: rgb(53, 115, 170)">与我有关</a><a href="/tags/%E6%B4%9B%E8%B0%B7/" style="font-size: 1.15em; color: rgb(95, 7, 197)">洛谷</a><a href="/tags/gitee/" style="font-size: 1.15em; color: rgb(71, 19, 96)">gitee</a><a href="/tags/Java/" style="font-size: 1.15em; color: rgb(32, 60, 22)">Java</a><a href="/tags/HTML/" style="font-size: 1.15em; color: rgb(120, 38, 134)">HTML</a><a href="/tags/JavaScript/" style="font-size: 1.15em; color: rgb(12, 57, 196)">JavaScript</a></div></div><div class="sticky_layout"><!--最新文章--><!--!=partial('includes/widget/card_recent_post', {}, {cache: true})--><!----><!--最新文章--><!--分类--><!-- !=partial('includes/widget/card_categories', {}, {cache: true}) --><!--归档--><!-- 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diff --git a/categories/KEIL/index.html b/categories/KEIL/index.html
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rgb(142, 165, 95)">神经网络</a><a href="/tags/%E6%B7%B1%E5%BA%A6%E5%AD%A6%E4%B9%A0/" style="font-size: 1.25em; color: rgb(196, 93, 8)">深度学习</a><a href="/tags/Linux/" style="font-size: 1.15em; color: rgb(126, 15, 18)">Linux</a><a href="/tags/edgeboard-FZ3A/" style="font-size: 1.15em; color: rgb(77, 104, 94)">edgeboard-FZ3A</a><a href="/tags/Paddle/" style="font-size: 1.15em; color: rgb(199, 198, 107)">Paddle</a><a href="/tags/yolo/" style="font-size: 1.15em; color: rgb(87, 107, 167)">yolo</a><a href="/tags/tree/" style="font-size: 1.2em; color: rgb(12, 12, 89)">tree</a><a href="/tags/%E6%A0%91/" style="font-size: 1.35em; color: rgb(1, 70, 22)">树</a><a href="/tags/%E5%9B%9E%E6%BA%AF/" style="font-size: 1.2em; color: rgb(105, 68, 34)">回溯</a><a href="/tags/%E6%9E%9A%E4%B8%BE/" style="font-size: 1.15em; color: rgb(4, 18, 24)">枚举</a><a href="/tags/pta/" style="font-size: 1.2em; color: rgb(82, 44, 174)">pta</a><a href="/tags/%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92/" style="font-size: 1.2em; color: 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diff --git a/categories/Linux/index.html b/categories/Linux/index.html
index 9832f912..b1958cb0 100644
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href="/tags/%E7%A5%9E%E7%BB%8F%E7%BD%91%E7%BB%9C/" style="font-size: 1.15em; color: rgb(40, 112, 58)">神经网络</a><a href="/tags/Linux/" style="font-size: 1.15em; color: rgb(88, 79, 186)">Linux</a><a href="/tags/edgeboard-FZ3A/" style="font-size: 1.15em; color: rgb(180, 140, 168)">edgeboard-FZ3A</a><a href="/tags/Paddle/" style="font-size: 1.15em; color: rgb(65, 35, 125)">Paddle</a><a href="/tags/yolo/" style="font-size: 1.15em; color: rgb(94, 193, 101)">yolo</a><a href="/tags/tree/" style="font-size: 1.2em; color: rgb(109, 167, 113)">tree</a><a href="/tags/%E6%A0%91/" style="font-size: 1.35em; color: rgb(30, 58, 112)">树</a><a href="/tags/%E5%9B%9E%E6%BA%AF/" style="font-size: 1.2em; color: rgb(163, 113, 91)">回溯</a><a href="/tags/%E6%9E%9A%E4%B8%BE/" style="font-size: 1.15em; color: rgb(173, 24, 200)">枚举</a><a href="/tags/pta/" style="font-size: 1.2em; color: rgb(18, 60, 104)">pta</a><a href="/tags/%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92/" style="font-size: 1.2em; color: rgb(90, 78, 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diff --git a/categories/Paddle/index.html b/categories/Paddle/index.html
index b72431dc..a9e2be9f 100644
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diff --git a/categories/easyx/index.html b/categories/easyx/index.html
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style="font-size: 1.25em; color: rgb(196, 93, 8)">深度学习</a><a href="/tags/Linux/" style="font-size: 1.15em; color: rgb(126, 15, 18)">Linux</a><a href="/tags/edgeboard-FZ3A/" style="font-size: 1.15em; color: rgb(77, 104, 94)">edgeboard-FZ3A</a><a href="/tags/Paddle/" style="font-size: 1.15em; color: rgb(199, 198, 107)">Paddle</a><a href="/tags/yolo/" style="font-size: 1.15em; color: rgb(87, 107, 167)">yolo</a><a href="/tags/tree/" style="font-size: 1.2em; color: rgb(12, 12, 89)">tree</a><a href="/tags/%E6%A0%91/" style="font-size: 1.35em; color: rgb(1, 70, 22)">树</a><a href="/tags/%E5%9B%9E%E6%BA%AF/" style="font-size: 1.2em; color: rgb(105, 68, 34)">回溯</a><a href="/tags/%E6%9E%9A%E4%B8%BE/" style="font-size: 1.15em; color: rgb(4, 18, 24)">枚举</a><a href="/tags/pta/" style="font-size: 1.2em; color: rgb(82, 44, 174)">pta</a><a href="/tags/%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92/" style="font-size: 1.2em; color: rgb(70, 70, 49)">动态规划</a><a href="/tags/%E9%AB%98%E7%B2%BE%E5%BA%A6/" style="font-size: 1.15em; color: rgb(180, 77, 47)">高精度</a><a href="/tags/%E6%BB%9A%E5%8A%A8%E6%95%B0%E7%BB%84/" style="font-size: 1.15em; color: rgb(79, 42, 21)">滚动数组</a><a href="/tags/%E4%BC%98%E5%8C%96/" style="font-size: 1.15em; color: rgb(42, 165, 88)">优化</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.3em; color: rgb(27, 51, 79)">二叉树</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%90%9C%E7%B4%A2%E6%A0%91/" style="font-size: 1.15em; color: rgb(53, 198, 9)">二叉搜索树</a><a href="/tags/%E5%B9%B3%E8%A1%A1%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.15em; color: rgb(198, 24, 193)">平衡二叉树</a><a href="/tags/%E6%A0%88/" style="font-size: 1.15em; color: rgb(34, 7, 186)">栈</a><a href="/tags/%E5%9B%BE/" style="font-size: 1.25em; color: rgb(182, 70, 67)">图</a><a href="/tags/stack/" style="font-size: 1.15em; color: rgb(186, 121, 45)">stack</a><a href="/tags/%E5%A4%B8%E7%88%B6%E8%AE%A1%E5%88%92/" style="font-size: 1.15em; color: rgb(147, 115, 108)">夸父计划</a><a 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style="font-size: 1.25em; color: rgb(196, 93, 8)">深度学习</a><a href="/tags/Linux/" style="font-size: 1.15em; color: rgb(126, 15, 18)">Linux</a><a href="/tags/edgeboard-FZ3A/" style="font-size: 1.15em; color: rgb(77, 104, 94)">edgeboard-FZ3A</a><a href="/tags/Paddle/" style="font-size: 1.15em; color: rgb(199, 198, 107)">Paddle</a><a href="/tags/yolo/" style="font-size: 1.15em; color: rgb(87, 107, 167)">yolo</a><a href="/tags/tree/" style="font-size: 1.2em; color: rgb(12, 12, 89)">tree</a><a href="/tags/%E6%A0%91/" style="font-size: 1.35em; color: rgb(1, 70, 22)">树</a><a href="/tags/%E5%9B%9E%E6%BA%AF/" style="font-size: 1.2em; color: rgb(105, 68, 34)">回溯</a><a href="/tags/%E6%9E%9A%E4%B8%BE/" style="font-size: 1.15em; color: rgb(4, 18, 24)">枚举</a><a href="/tags/pta/" style="font-size: 1.2em; color: rgb(82, 44, 174)">pta</a><a href="/tags/%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92/" style="font-size: 1.2em; color: rgb(70, 70, 49)">动态规划</a><a href="/tags/%E9%AB%98%E7%B2%BE%E5%BA%A6/" 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diff --git a/categories/index.html b/categories/index.html
index 37d56e18..c8b86817 100644
--- a/categories/index.html
+++ b/categories/index.html
@@ -184,7 +184,7 @@
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style="font-size: 1.15em; color: rgb(180, 77, 47)">高精度</a><a href="/tags/%E6%BB%9A%E5%8A%A8%E6%95%B0%E7%BB%84/" style="font-size: 1.15em; color: rgb(79, 42, 21)">滚动数组</a><a href="/tags/%E4%BC%98%E5%8C%96/" style="font-size: 1.15em; color: rgb(42, 165, 88)">优化</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.3em; color: rgb(27, 51, 79)">二叉树</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%90%9C%E7%B4%A2%E6%A0%91/" style="font-size: 1.15em; color: rgb(53, 198, 9)">二叉搜索树</a><a href="/tags/%E5%B9%B3%E8%A1%A1%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.15em; color: rgb(198, 24, 193)">平衡二叉树</a><a href="/tags/%E6%A0%88/" style="font-size: 1.15em; color: rgb(34, 7, 186)">栈</a><a href="/tags/%E5%9B%BE/" style="font-size: 1.25em; color: rgb(182, 70, 67)">图</a><a href="/tags/stack/" style="font-size: 1.15em; color: rgb(186, 121, 45)">stack</a><a href="/tags/%E5%A4%B8%E7%88%B6%E8%AE%A1%E5%88%92/" style="font-size: 1.15em; color: rgb(147, 115, 108)">夸父计划</a><a 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diff --git "a/categories/\346\235\202\350\260\210/index.html" "b/categories/\346\235\202\350\260\210/index.html"
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diff --git a/index.html b/index.html
index ae01427e..ebb2832f 100644
--- a/index.html
+++ b/index.html
@@ -59,7 +59,7 @@
   isHome: true,
   isHighlightShrink: false,
   isToc: false,
-  postUpdate: '2024-02-01 17时19分48秒 17:19:48'
+  postUpdate: '2024-02-01 17时21分58秒 17:21:58'
 }</script><noscript><style type="text/css">
   #nav {
     opacity: 1
@@ -221,7 +221,7 @@
 构造函数定义如下：
 12345678# Config 类定义，输入为 Noneclass paddle.inference.Config()# Config 类定义，输入为其他 Config 对象class paddle.inference.Config(config: Config)# Config 类定义，输入分别为模型文件路径和参数文件路径class paddle.inference.Config(prog_file: str, params_file: str)
 代码示例：
-12345678# 引用 paddle inference 预测库import paddle.inference as paddle_infer# 创建 configconfig = paddle_infer.Config(&quot;./mobilenet.pdmodel&quot;, &quot;./mobilenet.pdipara ...</div></div></div><div class="recent-post-item"><div class="post_cover left"><a href="/posts/35609" title="随便写的一些东西"><img class="post-bg" src="/img/cover/luoy.jpg" onerror="this.onerror=null;this.src='/img/err_img404.jpg'" alt="随便写的一些东西"></a></div><div class="recent-post-info"><a class="article-title" href="/posts/35609" title="随便写的一些东西">随便写的一些东西</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time class="post-meta-date-created" datetime="2024-01-05T06:45:45.000Z" title="发表于 2024-01-05 14时45分45秒 14:45:45">2024-01-05 14时45分45秒</time><span class="article-meta-separator">|</span><i class="fas fa-history"></i><span class="article-meta-label">更新于</span><time class="post-meta-date-updated" datetime="2024-02-01T09:19:40.561Z" title="更新于 2024-02-01 17时19分40秒 17:19:40">2024-02-01 17时19分40秒</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/%E6%88%91/">我</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/Python/">Python</a><span class="article-meta-link">•</span><a class="article-meta__tags" href="/tags/C%E8%AF%AD%E8%A8%80/">C语言</a><span class="article-meta-link">•</span><a class="article-meta__tags" href="/tags/C/">C++</a><span class="article-meta-link">•</span><a class="article-meta__tags" href="/tags/Java/">Java</a><span class="article-meta-link">•</span><a class="article-meta__tags" href="/tags/HTML/">HTML</a><span class="article-meta-link">•</span><a class="article-meta__tags" href="/tags/JavaScript/">JavaScript</a></span></div><div class="content">
+12345678# 引用 paddle inference 预测库import paddle.inference as paddle_infer# 创建 configconfig = paddle_infer.Config(&quot;./mobilenet.pdmodel&quot;, &quot;./mobilenet.pdipara ...</div></div></div><div class="recent-post-item"><div class="post_cover left"><a href="/posts/35609" title="随便写的一些东西"><img class="post-bg" src="/img/cover/luoy.jpg" onerror="this.onerror=null;this.src='/img/err_img404.jpg'" alt="随便写的一些东西"></a></div><div class="recent-post-info"><a class="article-title" href="/posts/35609" title="随便写的一些东西">随便写的一些东西</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time class="post-meta-date-created" datetime="2024-01-05T06:45:45.000Z" title="发表于 2024-01-05 14时45分45秒 14:45:45">2024-01-05 14时45分45秒</time><span class="article-meta-separator">|</span><i class="fas fa-history"></i><span class="article-meta-label">更新于</span><time class="post-meta-date-updated" datetime="2024-02-01T09:21:51.490Z" title="更新于 2024-02-01 17时21分51秒 17:21:51">2024-02-01 17时21分51秒</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/%E6%88%91/">我</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/Python/">Python</a><span class="article-meta-link">•</span><a class="article-meta__tags" href="/tags/C%E8%AF%AD%E8%A8%80/">C语言</a><span class="article-meta-link">•</span><a class="article-meta__tags" href="/tags/C/">C++</a><span class="article-meta-link">•</span><a class="article-meta__tags" href="/tags/Java/">Java</a><span class="article-meta-link">•</span><a class="article-meta__tags" href="/tags/HTML/">HTML</a><span class="article-meta-link">•</span><a class="article-meta__tags" href="/tags/JavaScript/">JavaScript</a></span></div><div class="content">
 爱来自ZZULI❤drluo
 
 
@@ -450,7 +450,7 @@
 在上方代码1中，auto int x = 10;和int x = 10;是等效的：
 这是因为 int x = 10; 默认就是一个自动变量，编译器会根据上下文自动识别它为自动变量。
 同样，例如下方代码（记作代码2）：
-1234567891011#include &lt;stdio.h&gt;int main() &#123;    auto int x = 10; // 可以省略 &quot;auto&quot;，因为它是默认的存储类 ...</div></div></div><nav id="pagination"><div class="pagination"><span class="page-number current">1</span><a class="page-number" href="/page/2/#content-inner">2</a><span class="space">&hellip;</span><a class="page-number" href="/page/6/#content-inner">6</a><a class="extend next" rel="next" href="/page/2/#content-inner"><i class="fas fa-chevron-right fa-fw"></i></a></div></nav></div><div class="aside-content" id="aside-content"><div class="card-widget card-info"><div class="is-center"><div class="avatar-img"><img src="https://cravatar.cn/avatar/6fa57e21db3ba5961f18a8ae75d0a081" onerror="this.onerror=null;this.src='/img/err_img404.gif'" alt="avatar"/></div><div class="author-info__name">drluo</div><div class="author-info__description"></div></div><div class="card-info-data site-data is-center"><a href="/archives/"><div class="headline">文章</div><div class="length-num">57</div></a><a href="/tags/"><div class="headline">标签</div><div class="length-num">37</div></a><a href="/categories/"><div class="headline">分类</div><div class="length-num">16</div></a></div><a id="card-info-btn" target="_blank" rel="noopener" href="https://github.com/luoy-oss"><i class="fab fa-github"></i><span>送上星星</span></a><div class="card-info-social-icons is-center"><a class="social-icon" href="https://github.com/luoy-oss" target="_blank" title="Github"><i class="fab fa-github"></i></a><a class="social-icon" href="mailto:wang2557657882@gmail.com" target="_blank" title="Email"><i class="fas fa-envelope"></i></a></div></div><div class="card-widget card-announcement"><div class="item-headline"><i class="fas fa-bullhorn fa-shake"></i><span>公告</span></div><div class="announcement_content">一二七七...唔</div></div><!--标签--><div class="card-widget card-tags"><div class="item-headline"><i class="fas fa-tags"></i><span>标签</span></div><div class="card-tag-cloud"><a href="/tags/PyTorch/" style="font-size: 1.15em; 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diff --git a/links/index.html b/links/index.html
index fccef858..8215e599 100644
--- a/links/index.html
+++ b/links/index.html
@@ -511,7 +511,7 @@ <h3 id="不来跟我交易一波吗♥">不来跟我交易一波吗♥</h3>
               <div class="flink-item-desc" title="物物而物不物于物">物物而物不物于物</div>
             </a>
           </div></div></div>
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diff --git a/message/index.html b/message/index.html
index ad02ca0f..e4a7d7aa 100644
--- a/message/index.html
+++ b/message/index.html
@@ -192,7 +192,7 @@
 <strong><center>嘿嘿，这样就不用担心会被别人知道自己是谁了！</center></strong><br>
 <strong><center>当然当然，一些快乐的事情也可以来这里分享的！</center></strong><br>
 <strong><center>( ๑´•ω•) &quot;(ㆆᴗㆆ)</center></strong></p>
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diff --git a/music/index.html b/music/index.html
index 5fa6c9a0..5247292b 100644
--- a/music/index.html
+++ b/music/index.html
@@ -184,7 +184,7 @@
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     }
     detectApple()
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 二、安装CUDA
 你的显卡必须是NVDIA显卡！！！
 
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diff --git a/page/4/index.html b/page/4/index.html
index 7901be5d..dc33671f 100644
--- a/page/4/index.html
+++ b/page/4/index.html
@@ -59,7 +59,7 @@
   isHome: true,
   isHighlightShrink: false,
   isToc: false,
-  postUpdate: '2024-02-01 17时19分48秒 17:19:48'
+  postUpdate: '2024-02-01 17时21分58秒 17:21:58'
 }</script><noscript><style type="text/css">
   #nav {
     opacity: 1
@@ -203,7 +203,13 @@
 中序遍历，左-&gt;根-&gt;右
 这两个的特性
 我们可以尝试凭借前序遍历的根结点（叶子结点也可以看错左右儿子为空的根）将中序遍历的左右根依次拆分成左右两块，针对左右两块再次递归操作
-12345678910111213141516171819void _find(string InOrderStr, string PreOrderStr)&#123;	if (PreOrderStr.empty())return;//针对前序遍历序列（拆分出的序列的）的根结点访问结束        char root = PreOrderStr[0];    PreOrderStr.erase(PreOrderStr.begin());//根结点取出，作为拆分标识        int rootidx = InOrderStr.find(root);        string leftIn = InOrderStr.substr(0,rootidx);	 ...</div></div></div><div class="recent-post-item"><div class="post_cover left"><a href="/posts/63105" title="二叉树的遍历"><img class="post-bg" src="/img/cover/BiTree.webp" onerror="this.onerror=null;this.src='/img/err_img404.jpg'" alt="二叉树的遍历"></a></div><div class="recent-post-info"><a class="article-title" href="/posts/63105" title="二叉树的遍历">二叉树的遍历</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time class="post-meta-date-created" datetime="2023-02-14T11:57:32.000Z" title="发表于 2023-02-14 19时57分32秒 19:57:32">2023-02-14 19时57分32秒</time><span class="article-meta-separator">|</span><i class="fas fa-history"></i><span class="article-meta-label">更新于</span><time class="post-meta-date-updated" datetime="2023-10-09T12:06:33.898Z" title="更新于 2023-10-09 20时06分33秒 20:06:33">2023-10-09 20时06分33秒</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/C/">C++</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/%E6%A0%91/">树</a><span class="article-meta-link">•</span><a class="article-meta__tags" href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/">二叉树</a></span></div><div class="content">先序遍历
+12345678910111213141516171819void _find(string InOrderStr, string PreOrderStr)&#123;	if (PreOrderStr.empty())return;//针对前序遍历序列（拆分出的序列的）的根结点访问结束        char root = PreOrderStr[0];    PreOrderStr.erase(PreOrderStr.begin());//根结点取出，作为拆分标识        int rootidx = InOrderStr.find(root);        string leftIn = InOrderStr.substr(0,rootidx);	 ...</div></div></div><div class="recent-post-item"><div class="post_cover left"><a href="/posts/50176" title="二叉树的同构"><img class="post-bg" src="/img/cover/BiTree.webp" onerror="this.onerror=null;this.src='/img/err_img404.jpg'" alt="二叉树的同构"></a></div><div class="recent-post-info"><a class="article-title" href="/posts/50176" title="二叉树的同构">二叉树的同构</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time class="post-meta-date-created" datetime="2023-02-14T11:57:32.000Z" title="发表于 2023-02-14 19时57分32秒 19:57:32">2023-02-14 19时57分32秒</time><span class="article-meta-separator">|</span><i class="fas fa-history"></i><span class="article-meta-label">更新于</span><time class="post-meta-date-updated" datetime="2023-10-09T12:06:33.901Z" title="更新于 2023-10-09 20时06分33秒 20:06:33">2023-10-09 20时06分33秒</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/C/">C++</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/%E6%A0%91/">树</a><span class="article-meta-link">•</span><a class="article-meta__tags" href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/">二叉树</a></span></div><div class="content">关于二叉树的同构
+
+
+
+一种可行的方法(基于数组的二叉树)
+
+123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105struct ArrTree &#123;	char data;	int left;	int right;&#125;A1T[100], A2T[100];//bool check[100];//////////////////////////////////////////////////////////////////////////////////构建函数，基于数组的二叉树//////////////////////////*构建输入的例子：可以从根结点开始8A 1 2B 3 4C 5 -D - -E 6 -G  ...</div></div></div><div class="recent-post-item"><div class="post_cover right"><a href="/posts/63105" title="二叉树的遍历"><img class="post-bg" src="/img/cover/BiTree.webp" onerror="this.onerror=null;this.src='/img/err_img404.jpg'" alt="二叉树的遍历"></a></div><div class="recent-post-info"><a class="article-title" href="/posts/63105" title="二叉树的遍历">二叉树的遍历</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time class="post-meta-date-created" datetime="2023-02-14T11:57:32.000Z" title="发表于 2023-02-14 19时57分32秒 19:57:32">2023-02-14 19时57分32秒</time><span class="article-meta-separator">|</span><i class="fas fa-history"></i><span class="article-meta-label">更新于</span><time class="post-meta-date-updated" datetime="2023-10-09T12:06:33.898Z" title="更新于 2023-10-09 20时06分33秒 20:06:33">2023-10-09 20时06分33秒</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/C/">C++</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/%E6%A0%91/">树</a><span class="article-meta-link">•</span><a class="article-meta__tags" href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/">二叉树</a></span></div><div class="content">先序遍历
 
 根-&gt;左子树-&gt;右子树
 
@@ -217,13 +223,7 @@
 
 左子树-&gt;右子树-&gt;根
 
-1234567void BiTree::PostOrder(BiNode* B) &#123;	if (B) &#123;		PreOrder(B-&gt;left);		PreOrder(B-&gt;r ...</div></div></div><div class="recent-post-item"><div class="post_cover right"><a href="/posts/50176" title="二叉树的同构"><img class="post-bg" src="/img/cover/BiTree.webp" onerror="this.onerror=null;this.src='/img/err_img404.jpg'" alt="二叉树的同构"></a></div><div class="recent-post-info"><a class="article-title" href="/posts/50176" title="二叉树的同构">二叉树的同构</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time class="post-meta-date-created" datetime="2023-02-14T11:57:32.000Z" title="发表于 2023-02-14 19时57分32秒 19:57:32">2023-02-14 19时57分32秒</time><span class="article-meta-separator">|</span><i class="fas fa-history"></i><span class="article-meta-label">更新于</span><time class="post-meta-date-updated" datetime="2023-10-09T12:06:33.901Z" title="更新于 2023-10-09 20时06分33秒 20:06:33">2023-10-09 20时06分33秒</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/C/">C++</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/%E6%A0%91/">树</a><span class="article-meta-link">•</span><a class="article-meta__tags" href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/">二叉树</a></span></div><div class="content">关于二叉树的同构
-
-
-
-一种可行的方法(基于数组的二叉树)
-
-123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105struct ArrTree &#123;	char data;	int left;	int right;&#125;A1T[100], A2T[100];//bool check[100];//////////////////////////////////////////////////////////////////////////////////构建函数，基于数组的二叉树//////////////////////////*构建输入的例子：可以从根结点开始8A 1 2B 3 4C 5 -D - -E 6 -G  ...</div></div></div><div class="recent-post-item"><div class="post_cover left"><a href="/posts/30396" title="树的表示"><img class="post-bg" src="/img/cover/%E4%B8%83%E4%B8%83.webp" onerror="this.onerror=null;this.src='/img/err_img404.jpg'" alt="树的表示"></a></div><div class="recent-post-info"><a class="article-title" href="/posts/30396" title="树的表示">树的表示</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time class="post-meta-date-created" datetime="2023-02-14T11:47:54.000Z" title="发表于 2023-02-14 19时47分54秒 19:47:54">2023-02-14 19时47分54秒</time><span class="article-meta-separator">|</span><i class="fas fa-history"></i><span class="article-meta-label">更新于</span><time class="post-meta-date-updated" datetime="2023-10-09T12:06:33.907Z" title="更新于 2023-10-09 20时06分33秒 20:06:33">2023-10-09 20时06分33秒</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/C/">C++</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/%E6%A0%91/">树</a></span></div><div class="content">链表实现
+1234567void BiTree::PostOrder(BiNode* B) &#123;	if (B) &#123;		PreOrder(B-&gt;left);		PreOrder(B-&gt;r ...</div></div></div><div class="recent-post-item"><div class="post_cover left"><a href="/posts/30396" title="树的表示"><img class="post-bg" src="/img/cover/%E4%B8%83%E4%B8%83.webp" onerror="this.onerror=null;this.src='/img/err_img404.jpg'" alt="树的表示"></a></div><div class="recent-post-info"><a class="article-title" href="/posts/30396" title="树的表示">树的表示</a><div class="article-meta-wrap"><span class="post-meta-date"><i class="far fa-calendar-alt"></i><span class="article-meta-label">发表于</span><time class="post-meta-date-created" datetime="2023-02-14T11:47:54.000Z" title="发表于 2023-02-14 19时47分54秒 19:47:54">2023-02-14 19时47分54秒</time><span class="article-meta-separator">|</span><i class="fas fa-history"></i><span class="article-meta-label">更新于</span><time class="post-meta-date-updated" datetime="2023-10-09T12:06:33.907Z" title="更新于 2023-10-09 20时06分33秒 20:06:33">2023-10-09 20时06分33秒</time></span><span class="article-meta"><span class="article-meta-separator">|</span><i class="fas fa-inbox"></i><a class="article-meta__categories" href="/categories/C/">C++</a></span><span class="article-meta tags"><span class="article-meta-separator">|</span><i class="fas fa-tag"></i><a class="article-meta__tags" href="/tags/%E6%A0%91/">树</a></span></div><div class="content">链表实现
 stDo.webp)
 图中右下角的样式不统一，若统一为3项，则有大量空间浪费，不妨如此这般
 
@@ -306,7 +306,7 @@
 将其中的启动文件放到我们创建的项目中，记得分文件夹
 STM32F10x_StdPeriph_Lib_V3.5.0\Libraries\CMSIS\CM3\DeviceSupport\ST\STM32F10x
 
-目录下的stm32f10x.h是STM32的外设寄存器描述文件，用于描述STM32有哪些寄存器和 ...</div></div></div><nav id="pagination"><div class="pagination"><a class="extend prev" rel="prev" href="/page/3/#content-inner"><i class="fas fa-chevron-left fa-fw"></i></a><a class="page-number" href="/">1</a><span class="space">&hellip;</span><a class="page-number" href="/page/3/#content-inner">3</a><span class="page-number current">4</span><a class="page-number" href="/page/5/#content-inner">5</a><a class="page-number" href="/page/6/#content-inner">6</a><a class="extend next" rel="next" href="/page/5/#content-inner"><i class="fas fa-chevron-right fa-fw"></i></a></div></nav></div><div class="aside-content" id="aside-content"><div class="card-widget card-info"><div class="is-center"><div class="avatar-img"><img src="https://cravatar.cn/avatar/6fa57e21db3ba5961f18a8ae75d0a081" onerror="this.onerror=null;this.src='/img/err_img404.gif'" alt="avatar"/></div><div class="author-info__name">drluo</div><div class="author-info__description"></div></div><div class="card-info-data site-data is-center"><a href="/archives/"><div class="headline">文章</div><div class="length-num">57</div></a><a href="/tags/"><div class="headline">标签</div><div class="length-num">37</div></a><a href="/categories/"><div class="headline">分类</div><div class="length-num">16</div></a></div><a id="card-info-btn" target="_blank" rel="noopener" href="https://github.com/luoy-oss"><i class="fab fa-github"></i><span>送上星星</span></a><div class="card-info-social-icons is-center"><a class="social-icon" href="https://github.com/luoy-oss" target="_blank" title="Github"><i class="fab fa-github"></i></a><a class="social-icon" href="mailto:wang2557657882@gmail.com" target="_blank" title="Email"><i class="fas fa-envelope"></i></a></div></div><div class="card-widget card-announcement"><div class="item-headline"><i class="fas fa-bullhorn fa-shake"></i><span>公告</span></div><div class="announcement_content">一二七七...唔</div></div><!--标签--><div class="card-widget card-tags"><div class="item-headline"><i class="fas fa-tags"></i><span>标签</span></div><div class="card-tag-cloud"><a href="/tags/PyTorch/" style="font-size: 1.15em; 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diff --git a/page/5/index.html b/page/5/index.html
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 输入：
 12git remote rm origingit remote add origin 仓库地址
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 Deploy to remote sites
 1$ hexo deploy
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diff --git a/posts/1746.html b/posts/1746.html
index 48ac603d..e97126eb 100644
--- a/posts/1746.html
+++ b/posts/1746.html
@@ -434,7 +434,7 @@ <h2 id="pragma">#pragma</h2>
 <p>最好的做法是避免使用 <code>#pragma</code>，除非绝对需要特定的编译器行为。</p>
 <p>如果需要进行特定的编译器配置，<strong>最好在编译器选项中进行配置，而不是依赖 <code>#pragma</code></strong></p>
 </blockquote>
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onerror="this.onerror=null;this.src='/img/err_img404.gif'" alt="avatar"/></div><div class="author-info__name">drluo</div><div class="author-info__description"></div></div><div class="card-info-data site-data is-center"><a href="/archives/"><div class="headline">文章</div><div class="length-num">57</div></a><a href="/tags/"><div class="headline">标签</div><div class="length-num">37</div></a><a href="/categories/"><div class="headline">分类</div><div class="length-num">16</div></a></div><a id="card-info-btn" target="_blank" rel="noopener" href="https://github.com/luoy-oss"><i class="fab fa-github"></i><span>送上星星</span></a><div class="card-info-social-icons is-center"><a class="social-icon" href="https://github.com/luoy-oss" target="_blank" title="Github"><i class="fab fa-github"></i></a><a class="social-icon" href="mailto:wang2557657882@gmail.com" target="_blank" title="Email"><i class="fas fa-envelope"></i></a></div></div><div class="sticky_layout"><div class="card-widget" id="card-toc"><div class="item-headline"><i class="fas fa-stream"></i><span>目录</span><span class="toc-percentage"></span></div><div class="toc-content is-expand"><ol class="toc"><li class="toc-item toc-level-1"><a class="toc-link"><span class="toc-number">1.</span> <span class="toc-text">什么是预处理？</span></a><ol class="toc-child"><li class="toc-item toc-level-2"><a class="toc-link" href="#include"><span class="toc-number">1.1.</span> <span class="toc-text">#include</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#define"><span class="toc-number">1.2.</span> <span class="toc-text">#define</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#undef"><span class="toc-number">1.3.</span> <span class="toc-text">#undef</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#ifdef-%E5%92%8C-ifndef"><span class="toc-number">1.4.</span> <span class="toc-text">#ifdef 和 ifndef</span></a><ol class="toc-child"><li class="toc-item toc-level-3"><a class="toc-link" href="#%E8%AF%A6%E5%B0%BD%E8%A7%A3%E9%87%8A%EF%BC%9A"><span class="toc-number">1.4.1.</span> <span class="toc-text">详尽解释：</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E7%A4%BA%E4%BE%8B%E4%BB%A3%E7%A0%81%EF%BC%9A"><span class="toc-number">1.4.2.</span> <span class="toc-text">示例代码：</span></a></li></ol></li><li class="toc-item toc-level-2"><a class="toc-link" href="#if%EF%BC%8C-else%EF%BC%8C-elif%EF%BC%8C-endif"><span class="toc-number">1.5.</span> <span class="toc-text">#if，#else，#elif，#endif</span></a><ol class="toc-child"><li class="toc-item toc-level-3"><a class="toc-link" href="#if"><span class="toc-number">1.5.1.</span> <span class="toc-text">#if</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#else"><span class="toc-number">1.5.2.</span> <span class="toc-text">#else</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#elif"><span class="toc-number">1.5.3.</span> <span class="toc-text">#elif</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#endif"><span class="toc-number">1.5.4.</span> <span class="toc-text">#endif</span></a></li></ol></li><li class="toc-item toc-level-2"><a class="toc-link" href="#error"><span class="toc-number">1.6.</span> <span class="toc-text">#error</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#pragma"><span class="toc-number">1.7.</span> <span class="toc-text">#pragma</span></a></li></ol></li></ol></div></div></div></div></main><footer id="footer" style="background-image: url('/img/cover/%E4%B8%83%E4%B8%83.webp')"><div id="footer-wrap"><div class="copyright">&copy;2021 - 2024 By drluo</div><div class="framework-info"><span>框架 </span><a target="_blank" rel="noopener" href="https://hexo.io">Hexo</a><span class="footer-separator">|</span><span>主题 </span><a target="_blank" rel="noopener" href="https://github.com/jerryc127/hexo-theme-butterfly">Butterfly</a></div><div 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fa-stream"></i><span>目录</span><span class="toc-percentage"></span></div><div class="toc-content is-expand"><ol class="toc"><li class="toc-item toc-level-1"><a class="toc-link"><span class="toc-number">1.</span> <span class="toc-text">什么是预处理？</span></a><ol class="toc-child"><li class="toc-item toc-level-2"><a class="toc-link" href="#include"><span class="toc-number">1.1.</span> <span class="toc-text">#include</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#define"><span class="toc-number">1.2.</span> <span class="toc-text">#define</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#undef"><span class="toc-number">1.3.</span> <span class="toc-text">#undef</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#ifdef-%E5%92%8C-ifndef"><span class="toc-number">1.4.</span> <span class="toc-text">#ifdef 和 ifndef</span></a><ol class="toc-child"><li class="toc-item toc-level-3"><a class="toc-link" href="#%E8%AF%A6%E5%B0%BD%E8%A7%A3%E9%87%8A%EF%BC%9A"><span class="toc-number">1.4.1.</span> <span class="toc-text">详尽解释：</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E7%A4%BA%E4%BE%8B%E4%BB%A3%E7%A0%81%EF%BC%9A"><span class="toc-number">1.4.2.</span> <span class="toc-text">示例代码：</span></a></li></ol></li><li class="toc-item toc-level-2"><a class="toc-link" href="#if%EF%BC%8C-else%EF%BC%8C-elif%EF%BC%8C-endif"><span class="toc-number">1.5.</span> <span class="toc-text">#if，#else，#elif，#endif</span></a><ol class="toc-child"><li class="toc-item toc-level-3"><a class="toc-link" href="#if"><span class="toc-number">1.5.1.</span> <span class="toc-text">#if</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#else"><span class="toc-number">1.5.2.</span> <span class="toc-text">#else</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#elif"><span class="toc-number">1.5.3.</span> <span class="toc-text">#elif</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#endif"><span class="toc-number">1.5.4.</span> <span class="toc-text">#endif</span></a></li></ol></li><li class="toc-item toc-level-2"><a class="toc-link" href="#error"><span class="toc-number">1.6.</span> <span class="toc-text">#error</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#pragma"><span class="toc-number">1.7.</span> <span class="toc-text">#pragma</span></a></li></ol></li></ol></div></div></div></div></main><footer id="footer" style="background-image: url('/img/cover/%E4%B8%83%E4%B8%83.webp')"><div id="footer-wrap"><div class="copyright">&copy;2021 - 2024 By drluo</div><div class="framework-info"><span>框架 </span><a target="_blank" rel="noopener" href="https://hexo.io">Hexo</a><span class="footer-separator">|</span><span>主题 </span><a target="_blank" rel="noopener" href="https://github.com/jerryc127/hexo-theme-butterfly">Butterfly</a></div><div 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diff --git a/posts/229.html b/posts/229.html
index 4492c355..16aca319 100644
--- a/posts/229.html
+++ b/posts/229.html
@@ -229,7 +229,7 @@ <h2 id="static">static</h2>
 <figure class="highlight c"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br></pre></td><td class="code"><pre><code class="hljs c"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdio.h&gt;</span></span><br><br><span class="hljs-type">void</span> <span class="hljs-title function_">demo</span><span class="hljs-params">()</span> &#123;<br>    <span class="hljs-type">static</span> <span class="hljs-type">int</span> count = <span class="hljs-number">0</span>; <span class="hljs-comment">// 持久性的局部变量</span><br>    count++;<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;count: %d\n&quot;</span>, count);<br>&#125;<br><br><span class="hljs-type">int</span> <span class="hljs-title function_">main</span><span class="hljs-params">()</span> &#123;<br>    demo(); <span class="hljs-comment">// 输出 count: 1</span><br>    demo(); <span class="hljs-comment">// 输出 count: 2</span><br>    <span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br></code></pre></td></tr></table></figure>
 <p>如果上述代码不加<code>static</code>：</p>
 <figure class="highlight c"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br></pre></td><td class="code"><pre><code class="hljs c"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdio.h&gt;</span></span><br><br><span class="hljs-type">void</span> <span class="hljs-title function_">demo</span><span class="hljs-params">()</span> &#123;<br>    <span class="hljs-type">int</span> count = <span class="hljs-number">0</span>; <span class="hljs-comment">// 持久性的局部变量</span><br>    count++;<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;count: %d\n&quot;</span>, count);<br>&#125;<br><br><span class="hljs-type">int</span> <span class="hljs-title function_">main</span><span class="hljs-params">()</span> &#123;<br>    demo(); <span class="hljs-comment">// 输出 count: 1</span><br>    demo(); <span class="hljs-comment">// 输出 count: 1</span><br>    <span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br></code></pre></td></tr></table></figure>
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diff --git a/posts/23650.html b/posts/23650.html
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@@ -326,7 +326,7 @@ <h4 id="return">return</h4>
 <li><code>continue</code> 用于跳过当前循环。</li>
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toc-level-4"><a class="toc-link" href="#break"><span class="toc-number">1.1.0.4.</span> <span class="toc-text">break</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#continue"><span class="toc-number">1.1.0.5.</span> <span class="toc-text">continue</span></a></li></ol></li></ol></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E6%9D%A1%E4%BB%B6%E8%AF%AD%E5%8F%A5%EF%BC%9A"><span class="toc-number">1.2.</span> <span class="toc-text">条件语句：</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#if-%E5%92%8C-else"><span class="toc-number">1.2.0.1.</span> <span class="toc-text">if 和 else</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#else-if"><span class="toc-number">1.2.0.2.</span> <span class="toc-text">else if</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#switch"><span class="toc-number">1.2.0.3.</span> <span class="toc-text">switch</span></a></li><li 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href="#break"><span class="toc-number">1.1.0.4.</span> <span class="toc-text">break</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#continue"><span class="toc-number">1.1.0.5.</span> <span class="toc-text">continue</span></a></li></ol></li></ol></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E6%9D%A1%E4%BB%B6%E8%AF%AD%E5%8F%A5%EF%BC%9A"><span class="toc-number">1.2.</span> <span class="toc-text">条件语句：</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#if-%E5%92%8C-else"><span class="toc-number">1.2.0.1.</span> <span class="toc-text">if 和 else</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#else-if"><span class="toc-number">1.2.0.2.</span> <span class="toc-text">else if</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#switch"><span class="toc-number">1.2.0.3.</span> <span class="toc-text">switch</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#return"><span class="toc-number">1.2.0.4.</span> <span class="toc-text">return</span></a></li></ol></li></ol></li></ol></li></ol></div></div></div></div></main><footer id="footer" style="background-image: url('/img/cover/%E4%B8%83%E4%B8%83.webp')"><div id="footer-wrap"><div class="copyright">&copy;2021 - 2024 By drluo</div><div class="framework-info"><span>框架 </span><a target="_blank" rel="noopener" href="https://hexo.io">Hexo</a><span class="footer-separator">|</span><span>主题 </span><a target="_blank" rel="noopener" href="https://github.com/jerryc127/hexo-theme-butterfly">Butterfly</a></div><div class="footer_custom_text">你好啊, 欢迎来到 <a target="_blank" rel="noopener" href="https://www.drluo.top/">洛屿的小站</a>!</div></div></footer></div><div id="rightside"><div id="rightside-config-hide"><button id="readmode" type="button" title="阅读模式"><i class="fas fa-book-open"></i></button><button id="translateLink" type="button" title="简繁转换">繁</button><button id="darkmode" 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diff --git a/posts/24095.html b/posts/24095.html
index 17187cde..b97d78c3 100644
--- a/posts/24095.html
+++ b/posts/24095.html
@@ -242,7 +242,7 @@ <h3 id="数组指针-Pointer-to-Array">数组指针 (Pointer to Array):</h3>
 <li>指针数组是指向不同数据类型的指针的数组。</li>
 <li>数组指针是指向数组的指针，通常用于处理多维数组。</li>
 </ul>
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class="toc-percentage"></span></div><div class="toc-content is-expand"><ol class="toc"><li class="toc-item toc-level-2"><a class="toc-link" href="#C%E3%80%81C-%E6%95%B0%E7%BB%84%EF%BC%8C%E6%8C%87%E9%92%88%EF%BC%8C%E6%8C%87%E9%92%88%E6%95%B0%E7%BB%84%EF%BC%8C%E6%95%B0%E7%BB%84%E6%8C%87%E9%92%88%E7%9A%84%E5%8C%BA%E5%88%AB"><span class="toc-number">1.</span> <span class="toc-text">C、C++数组，指针，指针数组，数组指针的区别</span></a><ol class="toc-child"><li class="toc-item toc-level-3"><a class="toc-link" href="#%E6%95%B0%E7%BB%84-Array"><span class="toc-number">1.1.</span> <span class="toc-text">数组 (Array):</span></a><ol class="toc-child"><li class="toc-item toc-level-4"><a class="toc-link" href="#%E4%B8%80%E7%BB%B4%E6%95%B0%E7%BB%84"><span class="toc-number">1.1.1.</span> <span class="toc-text">一维数组</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#%E4%BA%8C%E7%BB%B4%E6%95%B0%E7%BB%84"><span class="toc-number">1.1.2.</span> <span class="toc-text">二维数组</span></a></li><li class="toc-item toc-level-4"><a class="toc-link" href="#n%E7%BB%B4%E6%95%B0%E7%BB%84"><span class="toc-number">1.1.3.</span> <span class="toc-text">n维数组</span></a></li></ol></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E6%8C%87%E9%92%88-Pointer"><span class="toc-number">1.2.</span> <span class="toc-text">指针 (Pointer):</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E6%8C%87%E9%92%88%E6%95%B0%E7%BB%84-Array-of-Pointers"><span class="toc-number">1.3.</span> <span class="toc-text">指针数组 (Array of Pointers):</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E6%95%B0%E7%BB%84%E6%8C%87%E9%92%88-Pointer-to-Array"><span class="toc-number">1.4.</span> <span class="toc-text">数组指针 (Pointer to Array):</span></a></li></ol></li></ol></div></div></div></div></main><footer id="footer" style="background-image: url('/img/cover/%E4%B8%83%E4%B8%83.webp')"><div id="footer-wrap"><div class="copyright">&copy;2021 - 2024 By 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diff --git a/posts/28732.html b/posts/28732.html
index e4983a75..1bbbe0de 100644
--- a/posts/28732.html
+++ b/posts/28732.html
@@ -235,7 +235,7 @@ <h1>总结</h1>
 <p><strong>一般来说，应该尽量避免使用 <code>goto</code>，因为它可以导致代码难以理解和维护</strong>。</p>
 <p><strong>初学者通常不需要使用 <code>volatile</code>，而应当谨慎使用 <code>typedef</code></strong></p>
 <p>const<code>和</code>sizeof` 是C语言中非常常见和有用的关键字</p>
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href="#%E4%BD%95%E4%B8%BA%E2%80%9C%E4%B8%8D%E5%BA%94%E8%BF%9B%E8%A1%8C%E4%BC%98%E5%8C%96%EF%BC%9F%E2%80%9D"><span class="toc-number">1.4.1.</span> <span class="toc-text">何为“不应进行优化？”</span></a></li></ol></li><li class="toc-item toc-level-2"><a class="toc-link" href="#goto"><span class="toc-number">1.5.</span> <span class="toc-text">goto</span></a></li></ol></li><li class="toc-item toc-level-1"><a class="toc-link"><span class="toc-number">2.</span> <span class="toc-text">总结</span></a></li></ol></div></div></div></div></main><footer id="footer" style="background-image: url('/img/cover/%E4%B8%83%E4%B8%83.webp')"><div id="footer-wrap"><div class="copyright">&copy;2021 - 2024 By drluo</div><div class="framework-info"><span>框架 </span><a target="_blank" rel="noopener" href="https://hexo.io">Hexo</a><span class="footer-separator">|</span><span>主题 </span><a target="_blank" rel="noopener" href="https://github.com/jerryc127/hexo-theme-butterfly">Butterfly</a></div><div 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fa-stream"></i><span>目录</span><span class="toc-percentage"></span></div><div class="toc-content is-expand"><ol class="toc"><li class="toc-item toc-level-1"><a class="toc-link"><span class="toc-number">1.</span> <span class="toc-text">其它关键字</span></a><ol class="toc-child"><li class="toc-item toc-level-2"><a class="toc-link" href="#const"><span class="toc-number">1.1.</span> <span class="toc-text">const</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#sizeof"><span class="toc-number">1.2.</span> <span class="toc-text">sizeof</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#typedef"><span class="toc-number">1.3.</span> <span class="toc-text">typedef</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#volatile"><span class="toc-number">1.4.</span> <span class="toc-text">volatile</span></a><ol class="toc-child"><li class="toc-item toc-level-3"><a class="toc-link" href="#%E4%BD%95%E4%B8%BA%E2%80%9C%E4%B8%8D%E5%BA%94%E8%BF%9B%E8%A1%8C%E4%BC%98%E5%8C%96%EF%BC%9F%E2%80%9D"><span class="toc-number">1.4.1.</span> <span class="toc-text">何为“不应进行优化？”</span></a></li></ol></li><li class="toc-item toc-level-2"><a class="toc-link" href="#goto"><span class="toc-number">1.5.</span> <span class="toc-text">goto</span></a></li></ol></li><li class="toc-item toc-level-1"><a class="toc-link"><span class="toc-number">2.</span> <span class="toc-text">总结</span></a></li></ol></div></div></div></div></main><footer id="footer" style="background-image: url('/img/cover/%E4%B8%83%E4%B8%83.webp')"><div id="footer-wrap"><div class="copyright">&copy;2021 - 2024 By drluo</div><div class="framework-info"><span>框架 </span><a target="_blank" rel="noopener" href="https://hexo.io">Hexo</a><span class="footer-separator">|</span><span>主题 </span><a target="_blank" rel="noopener" href="https://github.com/jerryc127/hexo-theme-butterfly">Butterfly</a></div><div 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diff --git a/posts/30396.html b/posts/30396.html
index f35ba249..bbf2ca2b 100644
--- a/posts/30396.html
+++ b/posts/30396.html
@@ -195,7 +195,7 @@
 <p>左侧结点存储<strong>儿子</strong>，右侧结点存储<strong>兄弟</strong></p>
 <p>这样的表示方式为：<strong>二叉树</strong></p>
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class="post-meta-date-created" datetime="2024-01-05T06:45:45.000Z" title="发表于 2024-01-05 14时45分45秒 14:45:45">2024-01-05 14时45分45秒</time><span class="post-meta-separator">|</span><i class="fas fa-history fa-fw post-meta-icon"></i><span class="post-meta-label">更新于</span><time class="post-meta-date-updated" datetime="2024-02-01T09:21:51.490Z" title="更新于 2024-02-01 17时21分51秒 17:21:51">2024-02-01 17时21分51秒</time></span><span class="post-meta-categories"><span class="post-meta-separator">|</span><i class="fas fa-inbox fa-fw post-meta-icon"></i><a class="post-meta-categories" href="/categories/%E6%88%91/">我</a></span></div><div class="meta-secondline"><span class="post-meta-separator">|</span><span class="post-meta-wordcount"><i class="far fa-file-word fa-fw post-meta-icon"></i><span class="post-meta-label">字数总计:</span><span class="word-count">5.2k</span><span class="post-meta-separator">|</span><i class="far fa-clock fa-fw post-meta-icon"></i><span class="post-meta-label">预计阅读时长:</span><span>27分钟</span></span></div></div></div></header><main class="layout" id="content-inner"><div id="post"><article class="post-content" id="article-container"><blockquote>
 <p>爱来自ZZULI❤<a href="https://luoy-oss.github.io">drluo</a></p>
 </blockquote>
 <p><img src="/img/page/ZZULI.webp" alt=""></p>
@@ -218,7 +218,7 @@ <h2 id="VOC数据分配">VOC数据分配</h2>
 <h2 id="Paddle模型预测（mobilenet-ssd）">Paddle模型预测（mobilenet_ssd）</h2>
 <figure class="highlight python"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br><span class="line">14</span><br><span class="line">15</span><br><span class="line">16</span><br><span class="line">17</span><br><span class="line">18</span><br><span class="line">19</span><br><span class="line">20</span><br><span class="line">21</span><br><span class="line">22</span><br><span class="line">23</span><br><span class="line">24</span><br><span class="line">25</span><br><span class="line">26</span><br><span class="line">27</span><br><span class="line">28</span><br><span class="line">29</span><br><span 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class="line">92</span><br><span class="line">93</span><br><span class="line">94</span><br><span class="line">95</span><br><span class="line">96</span><br><span class="line">97</span><br><span class="line">98</span><br><span class="line">99</span><br><span class="line">100</span><br><span class="line">101</span><br><span class="line">102</span><br><span class="line">103</span><br><span class="line">104</span><br><span class="line">105</span><br><span class="line">106</span><br><span class="line">107</span><br><span class="line">108</span><br><span class="line">109</span><br><span class="line">110</span><br><span class="line">111</span><br><span class="line">112</span><br><span class="line">113</span><br><span class="line">114</span><br><span class="line">115</span><br><span class="line">116</span><br><span class="line">117</span><br><span class="line">118</span><br><span class="line">119</span><br><span class="line">120</span><br><span class="line">121</span><br><span class="line">122</span><br><span class="line">123</span><br><span class="line">124</span><br><span class="line">125</span><br><span class="line">126</span><br><span class="line">127</span><br></pre></td><td class="code"><pre><code class="hljs python"><span class="hljs-keyword">import</span> cv2<br><span class="hljs-keyword">import</span> numpy <span class="hljs-keyword">as</span> np<br><span class="hljs-comment"># 引用 paddle inference 预测库</span><br><span class="hljs-keyword">import</span> paddle.inference <span class="hljs-keyword">as</span> paddle_infer<br><span class="hljs-keyword">from</span> PIL <span class="hljs-keyword">import</span> Image<br><br><span class="hljs-comment"># 创建 config</span><br>config = paddle_infer.Config(<span class="hljs-string">&quot;./models/mobilenet_ssd/mobilenet-ssd-model&quot;</span>,<br>                             <span class="hljs-string">&quot;./models/mobilenet_ssd/mobilenet-ssd-params&quot;</span>)<br><br><span class="hljs-comment"># 根据 config 创建 predictor</span><br>predictor = paddle_infer.create_predictor(config)<br><br><span class="hljs-comment"># 获取输入 Tensor</span><br>input_names = predictor.get_input_names()<br>input_tensor = predictor.get_input_handle(input_names[<span class="hljs-number">0</span>])<br><br><span class="hljs-built_in">print</span>(input_names)<br><span class="hljs-built_in">print</span>(input_tensor)<br><br><span class="hljs-comment"># 从 CPU 获取数据，设置到 Tensor 内部</span><br>imgPath = <span class="hljs-string">&#x27;./frame/15.jpg&#x27;</span><br><br>cap = cv2.VideoCapture(<span class="hljs-string">&#x27;./models/mobilenet_ssd/sample.mp4&#x27;</span>)<br>frame = []<br><span class="hljs-keyword">while</span> <span class="hljs-literal">True</span>:<br>    ret, frame = cap.read()<br>    <span class="hljs-keyword">if</span> ret == <span class="hljs-literal">False</span>:<br>        <span class="hljs-keyword">break</span><br>    <span class="hljs-comment"># cv2.imwrite(&quot;./frame/frame.jpg&quot;, frame)</span><br>    <span class="hljs-comment"># imgPath = &#x27;./frame/frame.jpg&#x27;</span><br>    im = Image.fromarray(cv2.cvtColor(frame, cv2.COLOR_BGR2RGB))<span class="hljs-comment"># Image.open(imgPath)</span><br>    im = im.resize((<span class="hljs-number">300</span>, <span class="hljs-number">300</span>), Image.BICUBIC)<br><br>    <span class="hljs-comment"># img = cv2.cvtColor(numpy.asarray(im.resize((320, 240), Image.BICUBIC)), cv2.COLOR_RGB2BGR)#cv2.cvtColor(, cv2.COLOR_RGB2BGR)  # 转换代码</span><br>    <span class="hljs-comment"># cv2.imshow(&#x27;img&#x27;, img)  # opencv显示</span><br>    <span class="hljs-comment"># cv2.waitKey()</span><br><br>    im = np.array(im, dtype=np.float32).transpose(<span class="hljs-number">2</span>, <span class="hljs-number">0</span>, <span class="hljs-number">1</span>).reshape((<span class="hljs-number">1</span>, <span class="hljs-number">3</span>, <span class="hljs-number">300</span>, <span class="hljs-number">300</span>))<br>    mean = [<span class="hljs-number">121.636447</span>, <span class="hljs-number">125.696666</span>, <span class="hljs-number">124.807721</span>]<br>    <span class="hljs-comment"># mean = [127.5, 127.5, 127.5]</span><br>    scale = [<span class="hljs-number">0.007843</span>,<br>             <span class="hljs-number">0.007843</span>,<br>             <span class="hljs-number">0.007843</span>]<br>    std = [ <span class="hljs-number">69.480526</span>,<br>            <span class="hljs-number">66.625320</span>,<br>            <span class="hljs-number">50.616609</span>]<br><br>    <span class="hljs-keyword">for</span> ri <span class="hljs-keyword">in</span> <span class="hljs-built_in">range</span>(<span class="hljs-number">0</span>, <span class="hljs-number">300</span>):<br>        im[<span class="hljs-number">0</span>][<span class="hljs-number">0</span>][ri] = (im[<span class="hljs-number">0</span>][<span class="hljs-number">0</span>][ri] / <span class="hljs-number">255</span>)<span class="hljs-comment"># - (scale[0] - mean[0] / 255)</span><br>    <span class="hljs-keyword">for</span> gi <span class="hljs-keyword">in</span> <span class="hljs-built_in">range</span>(<span class="hljs-number">0</span>, <span class="hljs-number">300</span>):<br>        im[<span class="hljs-number">0</span>][<span class="hljs-number">1</span>][gi] = (im[<span class="hljs-number">0</span>][<span class="hljs-number">1</span>][gi] / <span class="hljs-number">255</span>)<span class="hljs-comment"># - (scale[1] - mean[1] / 255)</span><br>    <span class="hljs-keyword">for</span> bi <span class="hljs-keyword">in</span> <span class="hljs-built_in">range</span>(<span class="hljs-number">0</span>, <span class="hljs-number">300</span>):<br>        im[<span class="hljs-number">0</span>][<span class="hljs-number">2</span>][bi] = (im[<span class="hljs-number">0</span>][<span class="hljs-number">2</span>][bi] / <span class="hljs-number">255</span>)<span class="hljs-comment"># - (scale[2] - mean[2] / 255)</span><br><br>    fake_input = im<br><br>    input_tensor1 = predictor.get_input_handle(input_names[<span class="hljs-number">0</span>])<br>    input_tensor1.copy_from_cpu(im)<br>    <span class="hljs-comment">#</span><br>    <span class="hljs-comment"># im = np.asarray([[320.0/240.0, 320.0/320.0]], dtype=np.float32)</span><br>    <span class="hljs-comment"># input_tensor2 = predictor.get_input_handle(input_names[1])</span><br>    <span class="hljs-comment"># input_tensor2.copy_from_cpu(im)</span><br>    <span class="hljs-comment">#</span><br>    <span class="hljs-comment"># im = np.asarray([[608, 608]], dtype=np.float32)</span><br>    <span class="hljs-comment"># input_tensor2 = predictor.get_input_handle(input_names[2])</span><br>    <span class="hljs-comment"># input_tensor2.copy_from_cpu(im)</span><br><br>    <span class="hljs-comment"># 执行预测</span><br>    predictor.run()<br><br>    <span class="hljs-comment"># 获取输出 Tensor</span><br>    output_names = predictor.get_output_names()<br>    output_tensor = predictor.get_output_handle(output_names[<span class="hljs-number">0</span>])<br><br>    <span class="hljs-comment"># 从 Tensor 中获取数据到 CPU</span><br>    output_data = output_tensor.copy_to_cpu()<br><br>    <span class="hljs-comment"># 获取 Tensor 的维度信息</span><br>    output_shape = output_tensor.shape()<br><br>    <span class="hljs-comment"># 获取 Tensor 的数据类型</span><br>    output_type = output_tensor.<span class="hljs-built_in">type</span>()<br><br>    results = []<br>    i = <span class="hljs-number">0</span><br>    img = frame<br>    label_list = [<span class="hljs-string">&quot;background&quot;</span>, <span class="hljs-string">&quot;cone&quot;</span>, <span class="hljs-string">&quot;bridge&quot;</span>, <span class="hljs-string">&quot;pig&quot;</span>, <span class="hljs-string">&quot;tractor&quot;</span>, <span class="hljs-string">&quot;corn&quot;</span>, <span class="hljs-string">&quot;bump&quot;</span>, <span class="hljs-string">&quot;crosswalk&quot;</span>, <span class="hljs-string">&quot; &quot;</span>]<br>    label_list = [<span class="hljs-string">&quot;background&quot;</span>, <span class="hljs-string">&quot;cone&quot;</span>, <span class="hljs-string">&quot;granary&quot;</span>, <span class="hljs-string">&quot;bridge&quot;</span>, <span class="hljs-string">&quot;tractor&quot;</span>, <span class="hljs-string">&quot;corn&quot;</span>, <span class="hljs-string">&quot;pig&quot;</span>, <span class="hljs-string">&quot;crosswalk&quot;</span>, <span class="hljs-string">&quot;bump&quot;</span>]<br>    img = cv2.resize(img, dsize=(<span class="hljs-number">300</span>, <span class="hljs-number">300</span>), fx=<span class="hljs-number">1</span>, fy=<span class="hljs-number">1</span>, interpolation=cv2.INTER_LINEAR)<br>    <span class="hljs-keyword">if</span> <span class="hljs-built_in">len</span>(output_data) &gt; <span class="hljs-number">1</span>:<br>        <span class="hljs-keyword">for</span> data <span class="hljs-keyword">in</span> output_data:<br>            tmp = &#123;&#125;<br>            <span class="hljs-keyword">if</span> data[<span class="hljs-number">1</span>] &gt; <span class="hljs-number">0.9</span>:<br>                tmp[<span class="hljs-string">&#x27;type&#x27;</span>] = data[<span class="hljs-number">0</span>]<br>                tmp[<span class="hljs-string">&#x27;score&#x27;</span>] = data[<span class="hljs-number">1</span>]<br>                tmp[<span class="hljs-string">&#x27;x&#x27;</span>] = data[<span class="hljs-number">2</span>] * <span class="hljs-number">300</span><br>                tmp[<span class="hljs-string">&#x27;y&#x27;</span>] = data[<span class="hljs-number">3</span>] * <span class="hljs-number">300</span><br>                tmp[<span class="hljs-string">&#x27;width&#x27;</span>] = data[<span class="hljs-number">4</span>] * <span class="hljs-number">300</span> - tmp[<span class="hljs-string">&#x27;x&#x27;</span>]<br>                tmp[<span class="hljs-string">&#x27;height&#x27;</span>] = data[<span class="hljs-number">5</span>] * <span class="hljs-number">300</span> - tmp[<span class="hljs-string">&#x27;y&#x27;</span>]<br>                results.insert(i, tmp)<br>                <span class="hljs-comment"># print(tmp)</span><br>                i = i + <span class="hljs-number">1</span><br>        <span class="hljs-keyword">for</span> i <span class="hljs-keyword">in</span> results:<br>            x = <span class="hljs-built_in">int</span>(i[<span class="hljs-string">&#x27;x&#x27;</span>])<br>            xmax =  <span class="hljs-built_in">int</span>(i[<span class="hljs-string">&#x27;x&#x27;</span>] + i[<span class="hljs-string">&#x27;width&#x27;</span>])<br>            y = <span class="hljs-built_in">int</span>(i[<span class="hljs-string">&#x27;y&#x27;</span>])<br>            ymax = <span class="hljs-built_in">int</span>(i[<span class="hljs-string">&#x27;y&#x27;</span>] + i[<span class="hljs-string">&#x27;height&#x27;</span>])<br>            <span class="hljs-comment"># print((x, y), (xmax, ymax))</span><br>            cv2.rectangle(img, (x, y), (xmax, ymax), (<span class="hljs-number">0</span>, <span class="hljs-number">0</span>, <span class="hljs-number">255</span>), <span class="hljs-number">2</span>)<br>            <span class="hljs-comment"># cv2.rectangle(img, (x, ymax), (xmax, y), (255, 0, 0), 2)</span><br>            cv2.putText(img,<br>                        <span class="hljs-built_in">str</span>(label_list[<span class="hljs-built_in">int</span>(i[<span class="hljs-string">&#x27;type&#x27;</span>])]),<br>                        (<span class="hljs-built_in">int</span>(x), <span class="hljs-built_in">int</span>(y)),<br>                        cv2.FONT_HERSHEY_SIMPLEX,<br>                        <span class="hljs-number">0.75</span>,<br>                        (<span class="hljs-number">0</span>, <span class="hljs-built_in">int</span>(i[<span class="hljs-string">&#x27;type&#x27;</span>]) * <span class="hljs-number">30</span>, <span class="hljs-number">255</span>),<br>                        <span class="hljs-number">2</span>)<br>    img = cv2.resize(img, dsize=(<span class="hljs-number">320</span>, <span class="hljs-number">240</span>), fx=<span class="hljs-number">1</span>, fy=<span class="hljs-number">1</span>, interpolation=cv2.INTER_LINEAR)<br>    cv2.imshow(<span class="hljs-string">&#x27;src&#x27;</span>, img)<br>    cv2.waitKey(<span class="hljs-number">1</span>)<br><br><span class="hljs-comment"># 释放中间 Tensor</span><br>predictor.clear_intermediate_tensor()<br><br><span class="hljs-comment"># 释放内存池中的所有临时 Tensor</span><br>predictor.try_shrink_memory()<br></code></pre></td></tr></table></figure>
 <h2 id="xml文件解析（paddle官方数据标注格式下）">xml文件解析（paddle官方数据标注格式下）</h2>
-<figure class="highlight python"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br><span class="line">14</span><br><span class="line">15</span><br><span class="line">16</span><br><span class="line">17</span><br><span class="line">18</span><br><span class="line">19</span><br><span class="line">20</span><br><span class="line">21</span><br><span class="line">22</span><br><span class="line">23</span><br><span class="line">24</span><br><span class="line">25</span><br><span class="line">26</span><br><span class="line">27</span><br><span class="line">28</span><br><span class="line">29</span><br><span class="line">30</span><br><span class="line">31</span><br><span class="line">32</span><br><span class="line">33</span><br><span class="line">34</span><br><span class="line">35</span><br><span class="line">36</span><br><span class="line">37</span><br><span class="line">38</span><br><span class="line">39</span><br><span class="line">40</span><br><span class="line">41</span><br></pre></td><td class="code"><pre><code class="hljs python"><span class="hljs-keyword">import</span> xml.dom.minidom<br><br><span class="hljs-keyword">def</span> <span class="hljs-title function_">getXMLData</span>(<span class="hljs-params">xml_file</span>):<br>    <span class="hljs-comment"># 打开xml文档</span><br>    dom = xml.dom.minidom.parse(xml_file)<br><br>    <span class="hljs-comment"># 得到文档元素对象</span><br>    root = dom.documentElement<br><br>    filename = root.getElementsByTagName(<span class="hljs-string">&#x27;filename&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br><br>    <span class="hljs-comment"># object_num = root.getElementsByTagName(&#x27;object_num&#x27;)[0].firstChild.data</span><br><br>    <span class="hljs-built_in">object</span> = []<br>    <span class="hljs-keyword">for</span> i <span class="hljs-keyword">in</span> root.getElementsByTagName(<span class="hljs-string">&#x27;object&#x27;</span>):<br>        name = i.getElementsByTagName(<span class="hljs-string">&#x27;name&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        difficult = i.getElementsByTagName(<span class="hljs-string">&#x27;difficult&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        bndbox = i.getElementsByTagName(<span class="hljs-string">&#x27;bndbox&#x27;</span>)[<span class="hljs-number">0</span>]<br>        xmin = bndbox.getElementsByTagName(<span class="hljs-string">&#x27;xmin&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        ymin = bndbox.getElementsByTagName(<span class="hljs-string">&#x27;ymin&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        xmax = bndbox.getElementsByTagName(<span class="hljs-string">&#x27;xmax&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        ymax = bndbox.getElementsByTagName(<span class="hljs-string">&#x27;ymax&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br><br>        data = &#123;<span class="hljs-string">&#x27;name&#x27;</span>: name,<br>                <span class="hljs-string">&#x27;difficult&#x27;</span>: difficult,<br>                <span class="hljs-string">&#x27;xmin&#x27;</span>: xmin,<br>                <span class="hljs-string">&#x27;ymin&#x27;</span>: ymin,<br>                <span class="hljs-string">&#x27;xmax&#x27;</span>: xmax,<br>                <span class="hljs-string">&#x27;ymax&#x27;</span>: ymax&#125;<br><br>        <span class="hljs-built_in">object</span>.append(data)<br>    <span class="hljs-comment"># print(root.nodeName)</span><br>    <span class="hljs-comment"># print (filename)</span><br>    <span class="hljs-comment"># print(object)</span><br>    <span class="hljs-keyword">return</span> filename, <span class="hljs-built_in">object</span><br><br><br>data_path = <span class="hljs-string">&#x27;./Car2024/&#x27;</span><br>xml_file = data_path + <span class="hljs-string">&quot;/Annotations/block10.xml&quot;</span><br>filename, <span class="hljs-built_in">object</span> = getXMLData(xml_file)<br><span class="hljs-built_in">print</span>(<span class="hljs-built_in">len</span>(<span class="hljs-built_in">object</span>))<br></code></pre></td></tr></table></figure>
+<figure class="highlight python"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br><span class="line">14</span><br><span class="line">15</span><br><span class="line">16</span><br><span class="line">17</span><br><span class="line">18</span><br><span class="line">19</span><br><span class="line">20</span><br><span class="line">21</span><br><span class="line">22</span><br><span class="line">23</span><br><span class="line">24</span><br><span class="line">25</span><br><span class="line">26</span><br><span class="line">27</span><br><span class="line">28</span><br><span class="line">29</span><br><span class="line">30</span><br><span class="line">31</span><br><span class="line">32</span><br><span class="line">33</span><br><span class="line">34</span><br><span class="line">35</span><br><span class="line">36</span><br><span class="line">37</span><br><span class="line">38</span><br><span class="line">39</span><br><span class="line">40</span><br><span class="line">41</span><br></pre></td><td class="code"><pre><code class="hljs python"><span class="hljs-keyword">import</span> xml.dom.minidom<br><br><span class="hljs-keyword">def</span> <span class="hljs-title function_">getXMLData</span>(<span class="hljs-params">xml_file</span>):<br>    <span class="hljs-comment"># 打开xml文档</span><br>    dom = xml.dom.minidom.parse(xml_file)<br><br>    <span class="hljs-comment"># 得到文档元素对象</span><br>    root = dom.documentElement<br><br>    filename = root.getElementsByTagName(<span class="hljs-string">&#x27;filename&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br><br>    <span class="hljs-comment"># object_num = root.getElementsByTagName(&#x27;object_num&#x27;)[0].firstChild.data</span><br><br>    <span class="hljs-built_in">object</span> = []<br>    <span class="hljs-keyword">for</span> i <span class="hljs-keyword">in</span> root.getElementsByTagName(<span class="hljs-string">&#x27;object&#x27;</span>):<br>        name = i.getElementsByTagName(<span class="hljs-string">&#x27;name&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        <span class="hljs-comment"># difficult = i.getElementsByTagName(&#x27;difficult&#x27;)[0].firstChild.data</span><br>        bndbox = i.getElementsByTagName(<span class="hljs-string">&#x27;bndbox&#x27;</span>)[<span class="hljs-number">0</span>]<br>        xmin = bndbox.getElementsByTagName(<span class="hljs-string">&#x27;xmin&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        ymin = bndbox.getElementsByTagName(<span class="hljs-string">&#x27;ymin&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        xmax = bndbox.getElementsByTagName(<span class="hljs-string">&#x27;xmax&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        ymax = bndbox.getElementsByTagName(<span class="hljs-string">&#x27;ymax&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br><br>        data = &#123;<span class="hljs-string">&#x27;name&#x27;</span>: name,<br>                <span class="hljs-comment"># &#x27;difficult&#x27;: difficult,</span><br>                <span class="hljs-string">&#x27;xmin&#x27;</span>: xmin,<br>                <span class="hljs-string">&#x27;ymin&#x27;</span>: ymin,<br>                <span class="hljs-string">&#x27;xmax&#x27;</span>: xmax,<br>                <span class="hljs-string">&#x27;ymax&#x27;</span>: ymax&#125;<br><br>        <span class="hljs-built_in">object</span>.append(data)<br>    <span class="hljs-comment"># print(root.nodeName)</span><br>    <span class="hljs-comment"># print (filename)</span><br>    <span class="hljs-comment"># print(object)</span><br>    <span class="hljs-keyword">return</span> filename, <span class="hljs-built_in">object</span><br><br><span class="hljs-keyword">if</span> __name__ == <span class="hljs-string">&#x27;__main__&#x27;</span>:<br>    data_path = <span class="hljs-string">&#x27;./Car2024/&#x27;</span><br>    xml_file = data_path + <span class="hljs-string">&quot;/Annotations/block10.xml&quot;</span><br>    filename, <span class="hljs-built_in">object</span> = getXMLData(xml_file)<br>    <span class="hljs-built_in">print</span>(<span class="hljs-built_in">len</span>(<span class="hljs-built_in">object</span>))<br></code></pre></td></tr></table></figure>
 <h1>JAVA</h1>
 <h2 id="Pair-Key-Value">Pair&lt;Key, Value&gt;</h2>
 <figure class="highlight java"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br><span class="line">14</span><br><span class="line">15</span><br><span class="line">16</span><br><span class="line">17</span><br><span class="line">18</span><br><span class="line">19</span><br><span class="line">20</span><br><span class="line">21</span><br><span class="line">22</span><br><span class="line">23</span><br><span class="line">24</span><br><span class="line">25</span><br><span class="line">26</span><br><span class="line">27</span><br><span class="line">28</span><br><span class="line">29</span><br><span class="line">30</span><br><span class="line">31</span><br><span class="line">32</span><br><span class="line">33</span><br><span class="line">34</span><br><span class="line">35</span><br><span class="line">36</span><br><span class="line">37</span><br><span class="line">38</span><br></pre></td><td class="code"><pre><code class="hljs java"><span class="hljs-keyword">package</span> util;<br><br><span class="hljs-keyword">public</span> <span class="hljs-keyword">final</span> <span class="hljs-keyword">class</span> <span class="hljs-title class_">Pair</span>&lt;K, V&gt; &#123;<br><br>    <span class="hljs-keyword">private</span> K key;<br>    <span class="hljs-keyword">private</span> V value;<br><br>    <span class="hljs-keyword">private</span> <span class="hljs-title function_">Pair</span><span class="hljs-params">(K key, V value)</span> &#123;<br>        <span class="hljs-built_in">this</span>.key = key;<br>        <span class="hljs-built_in">this</span>.value = value;<br>    &#125;<br><br>    <span class="hljs-keyword">public</span> <span class="hljs-keyword">static</span> &lt;K, V&gt; Pair&lt;K, V&gt; <span class="hljs-title function_">of</span><span class="hljs-params">(K key, V value)</span> &#123;<br>        <span class="hljs-keyword">return</span> <span class="hljs-keyword">new</span> <span class="hljs-title class_">Pair</span>&lt;&gt;(key, value);<br>    &#125;<br><br>    <span class="hljs-keyword">public</span> K <span class="hljs-title function_">getKey</span><span class="hljs-params">()</span> &#123;<br>        <span class="hljs-keyword">return</span> key;<br>    &#125;<br><br>    <span class="hljs-keyword">public</span> V <span class="hljs-title function_">getValue</span><span class="hljs-params">()</span> &#123;<br>        <span class="hljs-keyword">return</span> value;<br>    &#125;<br><br>    <span class="hljs-meta">@Override</span><br>    <span class="hljs-keyword">public</span> String <span class="hljs-title function_">toString</span><span class="hljs-params">()</span> &#123;<br>        <span class="hljs-keyword">if</span> (key == <span class="hljs-literal">null</span> &amp;&amp; value == <span class="hljs-literal">null</span>) <span class="hljs-keyword">return</span> <span class="hljs-string">&quot;&quot;</span>;<br>        <span class="hljs-keyword">if</span> (key == <span class="hljs-literal">null</span> &amp;&amp; value <span class="hljs-keyword">instanceof</span> String) <span class="hljs-keyword">return</span> value.toString();<br>        <span class="hljs-keyword">if</span> (value == <span class="hljs-literal">null</span> &amp;&amp; key <span class="hljs-keyword">instanceof</span> String) <span class="hljs-keyword">return</span> key.toString();<br>        <span class="hljs-keyword">if</span> (key == <span class="hljs-literal">null</span> || value == <span class="hljs-literal">null</span>) <span class="hljs-keyword">return</span> <span class="hljs-string">&quot;&quot;</span>;<br>        <span class="hljs-keyword">return</span> key.toString() + value.toString();<br>    &#125;<br><br>    <span class="hljs-keyword">public</span> <span class="hljs-type">boolean</span> <span class="hljs-title function_">equals</span><span class="hljs-params">(Pair&lt;K, V&gt; obj)</span> &#123;<br>        <span class="hljs-keyword">if</span> (obj == <span class="hljs-literal">null</span>) <span class="hljs-keyword">return</span> <span class="hljs-literal">false</span>;<br>        <span class="hljs-keyword">return</span> obj.getKey().equals(getKey()) &amp;&amp; obj.getValue().equals(getValue());<br>    &#125;<br>&#125;<br></code></pre></td></tr></table></figure>
@@ -247,7 +247,7 @@ <h2 id="midi播放可视化2">midi播放可视化2</h2>
 <p><a target="_blank" rel="noopener" href="https://www.drluo.top/friends/self/midivisualization/css/style.css">https://www.drluo.top/friends/self/midivisualization/css/style.css</a></p>
 <p><a target="_blank" rel="noopener" href="https://www.drluo.top/friends/self/midivisualization/js/core.js">https://www.drluo.top/friends/self/midivisualization/js/core.js</a></p>
 <p><a target="_blank" rel="noopener" href="https://www.drluo.top/friends/self/midivisualization/js/index.js">https://www.drluo.top/friends/self/midivisualization/js/index.js</a></p>
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target="_blank" title="Email"><i class="fas fa-envelope"></i></a></div></div><div class="sticky_layout"><div class="card-widget" id="card-toc"><div class="item-headline"><i class="fas fa-stream"></i><span>目录</span><span class="toc-percentage"></span></div><div class="toc-content is-expand"><ol class="toc"><li class="toc-item toc-level-1"><a class="toc-link"><span class="toc-number">1.</span> <span class="toc-text">C&#x2F;C++</span></a><ol class="toc-child"><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%9B%BE%E5%83%8F%E7%BB%8F%E8%BF%87bitset%E5%A4%84%E7%90%86%E4%B8%BA%E4%BA%8C%E8%BF%9B%E5%88%B6%E5%90%8E%E5%86%8D%E8%BD%AC%E4%B8%BAuchar%E6%A0%BC%E5%BC%8F%E4%BE%BF%E4%BA%8E%E4%B8%B2%E5%8F%A3%E5%8F%91%E9%80%81%EF%BC%8C%E5%B9%B6%E6%94%AF%E6%8C%81%E8%A7%A3%E7%A0%81%E4%B8%BAuchar%E6%95%B0%E7%BB%84%EF%BC%88240-320%EF%BC%89-row-col"><span class="toc-number">1.1.</span> <span class="toc-text">图像经过bitset处理为二进制后再转为uchar格式便于串口发送，并支持解码为uchar数组（240 * 320）(row * col)</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E6%8B%BC%E9%9F%B3%E6%8E%92%E5%BA%8F"><span class="toc-number">1.2.</span> <span class="toc-text">拼音排序</span></a></li></ol></li><li class="toc-item toc-level-1"><a class="toc-link"><span class="toc-number">2.</span> <span class="toc-text">Python</span></a><ol class="toc-child"><li class="toc-item toc-level-2"><a class="toc-link" href="#mp42img"><span class="toc-number">2.1.</span> <span class="toc-text">mp42img</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#img2mp4"><span class="toc-number">2.2.</span> <span class="toc-text">img2mp4</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E8%A7%86%E9%A2%91%E5%8A%A0%E9%80%9F"><span class="toc-number">2.3.</span> <span class="toc-text">视频加速</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%9B%BE%E5%83%8FRGB%E5%9D%87%E5%80%BC-%E6%96%B9%E5%B7%AE%E8%AE%A1%E7%AE%97"><span class="toc-number">2.4.</span> <span class="toc-text">图像RGB均值&#x2F;方差计算</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#VOC%E6%95%B0%E6%8D%AE%E7%B1%BB%E5%88%AB%E7%BB%9F%E8%AE%A1"><span class="toc-number">2.5.</span> <span class="toc-text">VOC数据类别统计</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#VOC%E6%95%B0%E6%8D%AE%E5%88%86%E9%85%8D"><span class="toc-number">2.6.</span> <span class="toc-text">VOC数据分配</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#Paddle%E6%A8%A1%E5%9E%8B%E9%A2%84%E6%B5%8B%EF%BC%88mobilenet-ssd%EF%BC%89"><span class="toc-number">2.7.</span> <span class="toc-text">Paddle模型预测（mobilenet_ssd）</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#xml%E6%96%87%E4%BB%B6%E8%A7%A3%E6%9E%90%EF%BC%88paddle%E5%AE%98%E6%96%B9%E6%95%B0%E6%8D%AE%E6%A0%87%E6%B3%A8%E6%A0%BC%E5%BC%8F%E4%B8%8B%EF%BC%89"><span class="toc-number">2.8.</span> <span class="toc-text">xml文件解析（paddle官方数据标注格式下）</span></a></li></ol></li><li class="toc-item toc-level-1"><a class="toc-link"><span class="toc-number">3.</span> <span class="toc-text">JAVA</span></a><ol class="toc-child"><li class="toc-item toc-level-2"><a class="toc-link" href="#Pair-Key-Value"><span class="toc-number">3.1.</span> <span class="toc-text">Pair&lt;Key, Value&gt;</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%AD%97%E7%AC%A6%E4%B8%B2%E5%88%86%E6%AE%B5%E6%8E%92%E5%BA%8F"><span class="toc-number">3.2.</span> <span class="toc-text">字符串分段排序</span></a></li></ol></li><li class="toc-item toc-level-1"><a class="toc-link"><span class="toc-number">4.</span> <span class="toc-text">HTML</span></a><ol class="toc-child"><li class="toc-item toc-level-2"><a class="toc-link" href="#midi%E6%92%AD%E6%94%BE%E5%8F%AF%E8%A7%86%E5%8C%961"><span class="toc-number">4.1.</span> <span class="toc-text">midi播放可视化1</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#midi%E6%92%AD%E6%94%BE%E5%8F%AF%E8%A7%86%E5%8C%962"><span class="toc-number">4.2.</span> <span class="toc-text">midi播放可视化2</span></a></li></ol></li></ol></div></div></div></div></main><footer id="footer" style="background-image: url('/img/cover/luoy.jpg')"><div id="footer-wrap"><div class="copyright">&copy;2021 - 2024 By drluo</div><div class="framework-info"><span>框架 </span><a target="_blank" rel="noopener" href="https://hexo.io">Hexo</a><span class="footer-separator">|</span><span>主题 </span><a target="_blank" rel="noopener" href="https://github.com/jerryc127/hexo-theme-butterfly">Butterfly</a></div><div class="footer_custom_text">你好啊, 欢迎来到 <a target="_blank" rel="noopener" href="https://www.drluo.top/">洛屿的小站</a>!</div></div></footer></div><div id="rightside"><div id="rightside-config-hide"><button id="readmode" type="button" title="阅读模式"><i class="fas fa-book-open"></i></button><button id="translateLink" type="button" title="简繁转换">繁</button><button id="darkmode" type="button" title="要试着换一下颜色模式吗？"><i class="fas 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class="toc-text">图像经过bitset处理为二进制后再转为uchar格式便于串口发送，并支持解码为uchar数组（240 * 320）(row * col)</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E6%8B%BC%E9%9F%B3%E6%8E%92%E5%BA%8F"><span class="toc-number">1.2.</span> <span class="toc-text">拼音排序</span></a></li></ol></li><li class="toc-item toc-level-1"><a class="toc-link"><span class="toc-number">2.</span> <span class="toc-text">Python</span></a><ol class="toc-child"><li class="toc-item toc-level-2"><a class="toc-link" href="#mp42img"><span class="toc-number">2.1.</span> <span class="toc-text">mp42img</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#img2mp4"><span class="toc-number">2.2.</span> <span class="toc-text">img2mp4</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E8%A7%86%E9%A2%91%E5%8A%A0%E9%80%9F"><span class="toc-number">2.3.</span> <span class="toc-text">视频加速</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%9B%BE%E5%83%8FRGB%E5%9D%87%E5%80%BC-%E6%96%B9%E5%B7%AE%E8%AE%A1%E7%AE%97"><span class="toc-number">2.4.</span> <span class="toc-text">图像RGB均值&#x2F;方差计算</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#VOC%E6%95%B0%E6%8D%AE%E7%B1%BB%E5%88%AB%E7%BB%9F%E8%AE%A1"><span class="toc-number">2.5.</span> <span class="toc-text">VOC数据类别统计</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#VOC%E6%95%B0%E6%8D%AE%E5%88%86%E9%85%8D"><span class="toc-number">2.6.</span> <span class="toc-text">VOC数据分配</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#Paddle%E6%A8%A1%E5%9E%8B%E9%A2%84%E6%B5%8B%EF%BC%88mobilenet-ssd%EF%BC%89"><span class="toc-number">2.7.</span> <span class="toc-text">Paddle模型预测（mobilenet_ssd）</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#xml%E6%96%87%E4%BB%B6%E8%A7%A3%E6%9E%90%EF%BC%88paddle%E5%AE%98%E6%96%B9%E6%95%B0%E6%8D%AE%E6%A0%87%E6%B3%A8%E6%A0%BC%E5%BC%8F%E4%B8%8B%EF%BC%89"><span class="toc-number">2.8.</span> <span class="toc-text">xml文件解析（paddle官方数据标注格式下）</span></a></li></ol></li><li class="toc-item toc-level-1"><a class="toc-link"><span class="toc-number">3.</span> <span class="toc-text">JAVA</span></a><ol class="toc-child"><li class="toc-item toc-level-2"><a class="toc-link" href="#Pair-Key-Value"><span class="toc-number">3.1.</span> <span class="toc-text">Pair&lt;Key, Value&gt;</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%AD%97%E7%AC%A6%E4%B8%B2%E5%88%86%E6%AE%B5%E6%8E%92%E5%BA%8F"><span class="toc-number">3.2.</span> <span class="toc-text">字符串分段排序</span></a></li></ol></li><li class="toc-item toc-level-1"><a class="toc-link"><span class="toc-number">4.</span> <span class="toc-text">HTML</span></a><ol class="toc-child"><li class="toc-item toc-level-2"><a class="toc-link" href="#midi%E6%92%AD%E6%94%BE%E5%8F%AF%E8%A7%86%E5%8C%961"><span class="toc-number">4.1.</span> <span class="toc-text">midi播放可视化1</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#midi%E6%92%AD%E6%94%BE%E5%8F%AF%E8%A7%86%E5%8C%962"><span class="toc-number">4.2.</span> <span class="toc-text">midi播放可视化2</span></a></li></ol></li></ol></div></div></div></div></main><footer id="footer" style="background-image: url('/img/cover/luoy.jpg')"><div id="footer-wrap"><div class="copyright">&copy;2021 - 2024 By drluo</div><div class="framework-info"><span>框架 </span><a target="_blank" rel="noopener" href="https://hexo.io">Hexo</a><span class="footer-separator">|</span><span>主题 </span><a target="_blank" rel="noopener" href="https://github.com/jerryc127/hexo-theme-butterfly">Butterfly</a></div><div class="footer_custom_text">你好啊, 欢迎来到 <a target="_blank" rel="noopener" href="https://www.drluo.top/">洛屿的小站</a>!</div></div></footer></div><div id="rightside"><div 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diff --git a/posts/3766.html b/posts/3766.html
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@@ -198,7 +198,7 @@ <h2 id="加载动画">加载动画</h2>
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 <h2 id="辅助函数">辅助函数</h2>
 <figure class="highlight c++"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br><span class="line">14</span><br><span class="line">15</span><br><span class="line">16</span><br><span class="line">17</span><br><span class="line">18</span><br><span class="line">19</span><br><span class="line">20</span><br><span class="line">21</span><br><span class="line">22</span><br><span class="line">23</span><br><span class="line">24</span><br></pre></td><td class="code"><pre><code class="hljs c++"><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;codecvt&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;comutil.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;string&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">pragma</span> comment(lib, <span class="hljs-string">&quot;comsuppw.lib&quot;</span>)</span><br>	<br><span class="hljs-meta">#<span class="hljs-keyword">define</span> _MIN(x,y) (((x)&lt;(y))?(x):(y))</span><br><br><span class="hljs-comment">//wstring转string</span><br><span class="hljs-function">std::string <span class="hljs-title">wstringTostring</span><span class="hljs-params">(<span class="hljs-type">const</span> std::wstring&amp; ws)</span> </span>&#123;<br>    <span class="hljs-type">_bstr_t</span> t = ws.<span class="hljs-built_in">c_str</span>();<br>    <span class="hljs-type">char</span>* pchar = (<span class="hljs-type">char</span>*)t;<br>    std::string result = pchar;<br>    <span class="hljs-keyword">return</span> result;<br>&#125;<br><br><span class="hljs-comment">//string转wstring</span><br><span class="hljs-function">std::wstring <span class="hljs-title">stringTowstring</span><span class="hljs-params">(<span class="hljs-type">const</span> std::string&amp; s)</span> </span>&#123;<br>    <span class="hljs-type">_bstr_t</span> t = s.<span class="hljs-built_in">c_str</span>();<br>    <span class="hljs-type">wchar_t</span>* pwchar = (<span class="hljs-type">wchar_t</span>*)t;<br>    std::wstring result = pwchar;<br>    <span class="hljs-keyword">return</span> result;<br>&#125;<br><br></code></pre></td></tr></table></figure>
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diff --git a/posts/45841.html b/posts/45841.html
index 54a0eaf2..86876d19 100644
--- a/posts/45841.html
+++ b/posts/45841.html
@@ -234,7 +234,7 @@ <h1>平衡二叉树(AVLTree)</h1>
 </ul>
 <p>↓插入NOV，Mar右侧结构被破坏，需要进行调整</p>
 <p>/!/[/]/(/img/page/tree/AVLRR.wepb)</p>
-</article><div class="post-copyright"><div class="post-copyright__author"><span class="post-copyright-meta">文章作者: </span><span class="post-copyright-info"><a href="https://luoy-oss.github.io">drluo</a></span></div><div class="post-copyright__type"><span class="post-copyright-meta">文章链接: </span><span class="post-copyright-info"><a href="https://luoy-oss.github.io/posts/45841">https://luoy-oss.github.io/posts/45841</a></span></div><div class="post-copyright__notice"><span class="post-copyright-meta">版权声明: </span><span class="post-copyright-info">本博客所有文章除特别声明外，均采用 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/" target="_blank">CC BY-NC-SA 4.0</a> 许可协议。转载请注明来自 <a href="https://luoy-oss.github.io" target="_blank">洛屿的小站</a>！</span></div></div><div class="tag_share"><div class="post-meta__tag-list"><a class="post-meta__tags" href="/tags/%E6%A0%91/">树</a><a class="post-meta__tags" href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/">二叉树</a><a class="post-meta__tags" href="/tags/%E4%BA%8C%E5%8F%89%E6%90%9C%E7%B4%A2%E6%A0%91/">二叉搜索树</a><a class="post-meta__tags" href="/tags/%E5%B9%B3%E8%A1%A1%E4%BA%8C%E5%8F%89%E6%A0%91/">平衡二叉树</a></div><div class="post_share"><div class="social-share" data-image="/img/cover/BiTree.webp" data-sites="facebook,twitter,wechat,weibo,qq"></div><link rel="stylesheet" href="/npm/butterfly-extsrc/sharejs/dist/css/share.min.css" media="print" onload="this.media='all'"><script src="/npm/butterfly-extsrc/sharejs/dist/js/social-share.min.js" defer></script></div></div><div class="post-reward"><div class="reward-button"><i class="fas fa-qrcode"></i> 打赏</div><div class="reward-main"><ul class="reward-all"><li class="reward-item"><a href="/img/wechat.jpg" target="_blank"><img class="post-qr-code-img" src="/img/wechat.jpg" alt="wechat"/></a><div class="post-qr-code-desc">wechat</div></li><li class="reward-item"><a href="/img/alipay.jpg" target="_blank"><img class="post-qr-code-img" src="/img/alipay.jpg" alt="alipay"/></a><div 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1617】统计子树中城市之间最大距离</div></div></a></div><div><a href="/posts/30396" title="树的表示"><img class="cover" src="/img/cover/%E4%B8%83%E4%B8%83.webp" alt="cover"><div class="content is-center"><div class="date"><i class="far fa-calendar-alt fa-fw"></i> 2023-02-14 19时47分54秒</div><div class="title">树的表示</div></div></a></div></div></div><hr/><div id="post-comment"><div class="comment-head"><div class="comment-headline"><i class="fas fa-comments fa-fw"></i><span> 评论</span></div></div><div class="comment-wrap"><div><div id="twikoo-wrap"></div></div></div></div></div><div class="aside-content" id="aside-content"><div class="card-widget card-info"><div class="is-center"><div class="avatar-img"><img src="https://cravatar.cn/avatar/6fa57e21db3ba5961f18a8ae75d0a081" onerror="this.onerror=null;this.src='/img/err_img404.gif'" alt="avatar"/></div><div class="author-info__name">drluo</div><div class="author-info__description"></div></div><div class="card-info-data site-data is-center"><a href="/archives/"><div class="headline">文章</div><div class="length-num">57</div></a><a href="/tags/"><div class="headline">标签</div><div class="length-num">37</div></a><a href="/categories/"><div class="headline">分类</div><div class="length-num">16</div></a></div><a id="card-info-btn" target="_blank" rel="noopener" href="https://github.com/luoy-oss"><i class="fab fa-github"></i><span>送上星星</span></a><div class="card-info-social-icons is-center"><a class="social-icon" href="https://github.com/luoy-oss" target="_blank" title="Github"><i class="fab fa-github"></i></a><a class="social-icon" href="mailto:wang2557657882@gmail.com" target="_blank" title="Email"><i class="fas fa-envelope"></i></a></div></div><div class="sticky_layout"><div class="card-widget" id="card-toc"><div class="item-headline"><i class="fas fa-stream"></i><span>目录</span><span class="toc-percentage"></span></div><div class="toc-content is-expand"><ol class="toc"><li class="toc-item toc-level-1"><a class="toc-link"><span class="toc-number">1.</span> <span class="toc-text">性质</span></a><ol class="toc-child"><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%9F%BA%E6%9C%AC%E5%87%BD%E6%95%B0"><span class="toc-number">1.1.</span> <span class="toc-text">基本函数</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#Find"><span class="toc-number">1.2.</span> <span class="toc-text">Find</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#FindMin"><span class="toc-number">1.3.</span> <span class="toc-text">FindMin</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#FindMax"><span class="toc-number">1.4.</span> <span class="toc-text">FindMax</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#Insert"><span class="toc-number">1.5.</span> <span class="toc-text">Insert</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#Delete"><span class="toc-number">1.6.</span> <span class="toc-text">Delete</span></a></li></ol></li><li class="toc-item toc-level-1"><a class="toc-link"><span class="toc-number">2.</span> <span class="toc-text">平衡二叉树(AVLTree)</span></a></li></ol></div></div></div></div></main><footer id="footer" style="background-image: url('/img/cover/BiTree.webp')"><div id="footer-wrap"><div class="copyright">&copy;2021 - 2024 By drluo</div><div class="framework-info"><span>框架 </span><a target="_blank" rel="noopener" href="https://hexo.io">Hexo</a><span class="footer-separator">|</span><span>主题 </span><a target="_blank" rel="noopener" href="https://github.com/jerryc127/hexo-theme-butterfly">Butterfly</a></div><div class="footer_custom_text">你好啊, 欢迎来到 <a target="_blank" rel="noopener" href="https://www.drluo.top/">洛屿的小站</a>!</div></div></footer></div><div id="rightside"><div id="rightside-config-hide"><button id="readmode" type="button" title="阅读模式"><i class="fas fa-book-open"></i></button><button id="translateLink" type="button" 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1617】统计子树中城市之间最大距离</div></div></a></div><div><a href="/posts/30396" title="树的表示"><img class="cover" src="/img/cover/%E4%B8%83%E4%B8%83.webp" alt="cover"><div class="content is-center"><div class="date"><i class="far fa-calendar-alt fa-fw"></i> 2023-02-14 19时47分54秒</div><div class="title">树的表示</div></div></a></div></div></div><hr/><div id="post-comment"><div class="comment-head"><div class="comment-headline"><i class="fas fa-comments fa-fw"></i><span> 评论</span></div></div><div class="comment-wrap"><div><div id="twikoo-wrap"></div></div></div></div></div><div class="aside-content" id="aside-content"><div class="card-widget card-info"><div class="is-center"><div class="avatar-img"><img src="https://cravatar.cn/avatar/6fa57e21db3ba5961f18a8ae75d0a081" onerror="this.onerror=null;this.src='/img/err_img404.gif'" alt="avatar"/></div><div class="author-info__name">drluo</div><div class="author-info__description"></div></div><div class="card-info-data site-data is-center"><a href="/archives/"><div class="headline">文章</div><div class="length-num">57</div></a><a href="/tags/"><div class="headline">标签</div><div class="length-num">37</div></a><a href="/categories/"><div class="headline">分类</div><div class="length-num">16</div></a></div><a id="card-info-btn" target="_blank" rel="noopener" href="https://github.com/luoy-oss"><i class="fab fa-github"></i><span>送上星星</span></a><div class="card-info-social-icons is-center"><a class="social-icon" href="https://github.com/luoy-oss" target="_blank" title="Github"><i class="fab fa-github"></i></a><a class="social-icon" href="mailto:wang2557657882@gmail.com" target="_blank" title="Email"><i class="fas fa-envelope"></i></a></div></div><div class="sticky_layout"><div class="card-widget" id="card-toc"><div class="item-headline"><i class="fas fa-stream"></i><span>目录</span><span class="toc-percentage"></span></div><div class="toc-content is-expand"><ol class="toc"><li class="toc-item toc-level-1"><a class="toc-link"><span class="toc-number">1.</span> <span class="toc-text">性质</span></a><ol class="toc-child"><li class="toc-item toc-level-2"><a class="toc-link" href="#%E5%9F%BA%E6%9C%AC%E5%87%BD%E6%95%B0"><span class="toc-number">1.1.</span> <span class="toc-text">基本函数</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#Find"><span class="toc-number">1.2.</span> <span class="toc-text">Find</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#FindMin"><span class="toc-number">1.3.</span> <span class="toc-text">FindMin</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#FindMax"><span class="toc-number">1.4.</span> <span class="toc-text">FindMax</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#Insert"><span class="toc-number">1.5.</span> <span class="toc-text">Insert</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#Delete"><span class="toc-number">1.6.</span> <span class="toc-text">Delete</span></a></li></ol></li><li class="toc-item toc-level-1"><a class="toc-link"><span class="toc-number">2.</span> <span class="toc-text">平衡二叉树(AVLTree)</span></a></li></ol></div></div></div></div></main><footer id="footer" style="background-image: url('/img/cover/BiTree.webp')"><div id="footer-wrap"><div class="copyright">&copy;2021 - 2024 By drluo</div><div class="framework-info"><span>框架 </span><a target="_blank" rel="noopener" href="https://hexo.io">Hexo</a><span class="footer-separator">|</span><span>主题 </span><a target="_blank" rel="noopener" href="https://github.com/jerryc127/hexo-theme-butterfly">Butterfly</a></div><div class="footer_custom_text">你好啊, 欢迎来到 <a target="_blank" rel="noopener" href="https://www.drluo.top/">洛屿的小站</a>!</div></div></footer></div><div id="rightside"><div id="rightside-config-hide"><button id="readmode" type="button" title="阅读模式"><i class="fas fa-book-open"></i></button><button id="translateLink" type="button" 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diff --git a/posts/48531.html b/posts/48531.html
index 9c4b10de..2b4a4354 100644
--- a/posts/48531.html
+++ b/posts/48531.html
@@ -280,7 +280,7 @@ <h3 id="void">void</h3>
 <p>每种数据类型都有其自身的特性和适用场景。范围和精度限制取决于具体的数据类型和编译器/平台的实现。</p>
 <p>例如，整数类型的范围受到位数的限制，浮点数类型的精度受到<a target="_blank" rel="noopener" href="https://zhuanlan.zhihu.com/p/480834719">IEEE 754标准</a>的限制。</p>
 <p>在程序编写过程中，使用合适的数据类型可以提高程序的性能和可维护性。</p>
-</article><div class="post-copyright"><div class="post-copyright__author"><span class="post-copyright-meta">文章作者: </span><span class="post-copyright-info"><a href="https://luoy-oss.github.io">drluo</a></span></div><div class="post-copyright__type"><span class="post-copyright-meta">文章链接: </span><span class="post-copyright-info"><a href="https://luoy-oss.github.io/posts/48531">https://luoy-oss.github.io/posts/48531</a></span></div><div class="post-copyright__notice"><span class="post-copyright-meta">版权声明: </span><span class="post-copyright-info">本博客所有文章除特别声明外，均采用 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/" target="_blank">CC BY-NC-SA 4.0</a> 许可协议。转载请注明来自 <a href="https://luoy-oss.github.io" target="_blank">洛屿的小站</a>！</span></div></div><div class="tag_share"><div class="post-meta__tag-list"><a class="post-meta__tags" href="/tags/C%E8%AF%AD%E8%A8%80/">C语言</a><a class="post-meta__tags" href="/tags/C/">C++</a></div><div class="post_share"><div class="social-share" data-image="/img/cover/%E4%B8%83%E4%B8%83.webp" data-sites="facebook,twitter,wechat,weibo,qq"></div><link rel="stylesheet" href="/npm/butterfly-extsrc/sharejs/dist/css/share.min.css" media="print" onload="this.media='all'"><script src="/npm/butterfly-extsrc/sharejs/dist/js/social-share.min.js" defer></script></div></div><div class="post-reward"><div class="reward-button"><i class="fas fa-qrcode"></i> 打赏</div><div class="reward-main"><ul class="reward-all"><li class="reward-item"><a href="/img/wechat.jpg" target="_blank"><img class="post-qr-code-img" src="/img/wechat.jpg" alt="wechat"/></a><div class="post-qr-code-desc">wechat</div></li><li class="reward-item"><a href="/img/alipay.jpg" target="_blank"><img class="post-qr-code-img" src="/img/alipay.jpg" alt="alipay"/></a><div class="post-qr-code-desc">alipay</div></li></ul></div></div><nav class="pagination-post" id="pagination"><div class="prev-post pull-left"><a href="/posts/23650" title="C、C++控制语句关键字详解"><img class="cover" 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href="/posts/7618" title="C、C++关键字"><img class="cover" src="/img/cover/%E4%B8%83%E4%B8%83.webp" alt="cover"><div class="content is-center"><div class="date"><i class="far fa-calendar-alt fa-fw"></i> 2023-10-10 20时37分06秒</div><div class="title">C、C++关键字</div></div></a></div><div><a href="/posts/229" title="C、C++存储类型关键字详解"><img class="cover" src="/img/cover/%E4%B8%83%E4%B8%83.webp" alt="cover"><div class="content is-center"><div class="date"><i class="far fa-calendar-alt fa-fw"></i> 2023-10-10 20时40分06秒</div><div class="title">C、C++存储类型关键字详解</div></div></a></div><div><a href="/posts/23650" title="C、C++控制语句关键字详解"><img class="cover" src="/img/cover/%E4%B8%83%E4%B8%83.webp" alt="cover"><div class="content is-center"><div class="date"><i class="far fa-calendar-alt fa-fw"></i> 2023-10-10 20时39分06秒</div><div class="title">C、C++控制语句关键字详解</div></div></a></div><div><a href="/posts/57353" title="C、C++的大括号是必须的部分吗？"><img class="cover" src="/img/cover/%E4%B8%83%E4%B8%83.webp" alt="cover"><div 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class="toc-text">double</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#long"><span class="toc-number">1.0.6.</span> <span class="toc-text">long</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#signed-%E5%92%8C-unsigned"><span class="toc-number">1.0.7.</span> <span class="toc-text">signed 和 unsigned</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#struct"><span class="toc-number">1.0.8.</span> <span class="toc-text">struct</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#enum"><span class="toc-number">1.0.9.</span> <span class="toc-text">enum</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#union"><span class="toc-number">1.0.10.</span> <span class="toc-text">union</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#void"><span class="toc-number">1.0.11.</span> <span 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diff --git a/posts/50176.html b/posts/50176.html
index 4138752b..5dbcc6a5 100644
--- a/posts/50176.html
+++ b/posts/50176.html
@@ -203,7 +203,7 @@
 <p>其中 0 3 4 有在数组中出现，而1没有出现，说明下标1的数组中存的即是根结点</p>
 <p><img src="/img/page/tree/eg1.webp" alt="没有被任何结点指向的结点即为根节点"></p>
 <hr>
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fa-fw"></i> 2023-02-14 19时47分54秒</div><div class="title">树的表示</div></div></a></div></div></div><hr/><div id="post-comment"><div class="comment-head"><div class="comment-headline"><i class="fas fa-comments fa-fw"></i><span> 评论</span></div></div><div class="comment-wrap"><div><div id="twikoo-wrap"></div></div></div></div></div><div class="aside-content" id="aside-content"><div class="card-widget card-info"><div class="is-center"><div class="avatar-img"><img src="https://cravatar.cn/avatar/6fa57e21db3ba5961f18a8ae75d0a081" onerror="this.onerror=null;this.src='/img/err_img404.gif'" alt="avatar"/></div><div class="author-info__name">drluo</div><div class="author-info__description"></div></div><div class="card-info-data site-data is-center"><a href="/archives/"><div class="headline">文章</div><div class="length-num">57</div></a><a href="/tags/"><div class="headline">标签</div><div class="length-num">37</div></a><a href="/categories/"><div class="headline">分类</div><div 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diff --git a/posts/5491.html b/posts/5491.html
index 1ba8500c..7b3903f8 100644
--- a/posts/5491.html
+++ b/posts/5491.html
@@ -221,7 +221,7 @@ <h3 id="提示：">提示：</h3>
 $1 &lt;= ui, vi &lt;= n$<br>
 $题目保证 (ui, vi) 所表示的边互不相同。$</p>
 <figure class="highlight c++"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br><span class="line">14</span><br><span class="line">15</span><br><span class="line">16</span><br><span class="line">17</span><br><span class="line">18</span><br><span class="line">19</span><br><span class="line">20</span><br><span class="line">21</span><br><span class="line">22</span><br><span class="line">23</span><br><span class="line">24</span><br><span class="line">25</span><br><span class="line">26</span><br><span class="line">27</span><br><span class="line">28</span><br><span class="line">29</span><br><span class="line">30</span><br><span class="line">31</span><br><span class="line">32</span><br><span class="line">33</span><br><span class="line">34</span><br><span class="line">35</span><br><span class="line">36</span><br><span class="line">37</span><br><span class="line">38</span><br><span class="line">39</span><br><span class="line">40</span><br><span class="line">41</span><br><span class="line">42</span><br><span class="line">43</span><br><span class="line">44</span><br><span class="line">45</span><br><span class="line">46</span><br><span class="line">47</span><br><span class="line">48</span><br><span class="line">49</span><br><span class="line">50</span><br><span class="line">51</span><br><span class="line">52</span><br><span class="line">53</span><br><span class="line">54</span><br><span class="line">55</span><br><span class="line">56</span><br><span class="line">57</span><br><span class="line">58</span><br></pre></td><td class="code"><pre><code class="hljs c++"><span class="hljs-keyword">class</span> <span class="hljs-title class_">Solution</span> &#123;<br><span class="hljs-keyword">public</span>:<br>	<span class="hljs-function">vector&lt;<span class="hljs-type">int</span>&gt; <span class="hljs-title">countSubgraphsForEachDiameter</span><span class="hljs-params">(<span class="hljs-type">int</span> n, vector&lt;vector&lt;<span class="hljs-type">int</span>&gt;&gt;&amp; edges)</span> </span>&#123;<br>		<span class="hljs-function">vector&lt;<span class="hljs-type">int</span>&gt; <span class="hljs-title">ans</span><span class="hljs-params">(n - <span class="hljs-number">1</span>)</span></span>;<br>		vector&lt;vector&lt;<span class="hljs-type">int</span>&gt;&gt; <span class="hljs-built_in">G</span>(n + <span class="hljs-number">1</span>);<br>		<span class="hljs-function">vector&lt;<span class="hljs-type">int</span>&gt; <span class="hljs-title">vis</span><span class="hljs-params">(n + <span class="hljs-number">1</span>)</span></span>;	<span class="hljs-comment">//访问树</span><br>		<span class="hljs-function">vector&lt;<span class="hljs-type">int</span>&gt; <span class="hljs-title">ins</span><span class="hljs-params">(n + <span class="hljs-number">1</span>)</span></span>;	<span class="hljs-comment">//子树</span><br>		<span class="hljs-type">int</span> dim = <span class="hljs-number">0</span>;<span class="hljs-comment">//直径</span><br><br>		<span class="hljs-keyword">for</span> (<span class="hljs-keyword">auto</span>&amp; e : edges) &#123;<br>			G[e[<span class="hljs-number">0</span>]].<span class="hljs-built_in">push_back</span>(e[<span class="hljs-number">1</span>]);<br>			G[e[<span class="hljs-number">1</span>]].<span class="hljs-built_in">push_back</span>(e[<span class="hljs-number">0</span>]);<br>		&#125;<br>		<br>        <span class="hljs-comment">//深搜，用于统计直径</span><br>        <span class="hljs-comment">//depu是当前节点u的深度，depv是遍历子节点v后返回的子树的深度</span><br>		function&lt;<span class="hljs-type">int</span>(<span class="hljs-type">int</span>)&gt; DFS = [&amp;](<span class="hljs-type">int</span> u) &#123;<br>			<span class="hljs-type">int</span> depu = <span class="hljs-number">0</span>;<br>			vis[u] = <span class="hljs-literal">true</span>;<br>			<span class="hljs-keyword">for</span> (<span class="hljs-keyword">auto</span>&amp; v : G[u]) &#123;<br>				<span class="hljs-keyword">if</span> (!vis[v] &amp;&amp; ins[v]) &#123;<br>					<span class="hljs-type">int</span> depv = <span class="hljs-built_in">DFS</span>(v) + <span class="hljs-number">1</span>;<span class="hljs-comment">//depv为子树的长度</span><br>					dim = <span class="hljs-built_in">max</span>(dim, depu + depv);	<span class="hljs-comment">//如果子树深度+节点u深度&gt;当前直径，更新当前直径，确保最终含有节点u的子树的直径为最大直径</span><br>					depu = <span class="hljs-built_in">max</span>(depu, depv);		<span class="hljs-comment">//子树深度若增加，更新节点u深度</span><br><br>				&#125;<br>			&#125;<br>			<span class="hljs-keyword">return</span> depu;<br>		&#125;;<br>		<br>        <span class="hljs-comment">//回溯函数，用于枚举子树选择</span><br>		function&lt;<span class="hljs-type">void</span>(<span class="hljs-type">int</span>)&gt; _stat = [&amp;](<span class="hljs-type">int</span> i) &#123;<br>			<span class="hljs-keyword">if</span> (i &gt; n) &#123;<span class="hljs-comment">//完成所有节点的0(不在子树中) 1((在子树中)枚举</span><br>				<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> v = <span class="hljs-number">1</span>; v &lt;= n; v++)<br>					<span class="hljs-keyword">if</span> (ins[v]) &#123;<br>						<span class="hljs-keyword">for</span> (<span class="hljs-keyword">auto</span>&amp; vs : vis)vs = <span class="hljs-literal">false</span>;<br>						dim = <span class="hljs-number">0</span>;<span class="hljs-comment">//直径</span><br>						<span class="hljs-built_in">DFS</span>(v);<span class="hljs-comment">//获取子树直径</span><br>						<span class="hljs-keyword">break</span>;<br>					&#125;<br>				<span class="hljs-keyword">if</span> (dim &amp;&amp; vis == ins)<span class="hljs-comment">//获取到直径，且所 选择的树 与 访问树 相同</span><br>					ans[dim - <span class="hljs-number">1</span>]++;<br>				<span class="hljs-keyword">return</span>;<br>			&#125;<br><br>			_stat(i + <span class="hljs-number">1</span>);<span class="hljs-comment">//子树，不选择节点i</span><br>			ins[i] = <span class="hljs-literal">true</span>;<br>			_stat(i + <span class="hljs-number">1</span>);<span class="hljs-comment">//子树，选择节点i</span><br>			ins[i] = <span class="hljs-literal">false</span>;<span class="hljs-comment">//回溯</span><br>		&#125;;<br><br>		_stat(<span class="hljs-number">1</span>);<br>		<span class="hljs-keyword">for</span> (<span class="hljs-keyword">auto</span>&amp; i : ans) &#123;<br>			cout &lt;&lt; i &lt;&lt; <span class="hljs-string">&quot; &quot;</span>;<br>		&#125;<br>		<span class="hljs-keyword">return</span> ans;<br>	&#125;<br>&#125;;<br></code></pre></td></tr></table></figure>
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diff --git a/posts/57353.html b/posts/57353.html
index d4d94237..da47cb84 100644
--- a/posts/57353.html
+++ b/posts/57353.html
@@ -226,7 +226,7 @@
 <p>为了避免这种潜在的问题，建议始终使用大括号来明确地定义代码块，即使在 <code>if</code> 语句中只有一个语句也是如此，这样可以提高代码的可读性和健壮性，降低出错的可能性。例如：</p>
 <figure class="highlight c"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br></pre></td><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">if</span> (x &gt; <span class="hljs-number">10</span>) &#123;<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;x 大于 10&quot;</span>);<br>    y = x * <span class="hljs-number">2</span>;<br>&#125;<br></code></pre></td></tr></table></figure>
 <p>这种方式更清晰，更容易维护，且不容易出现潜在错误。</p>
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diff --git a/posts/57450.html b/posts/57450.html
index 1ab915c9..e52bd545 100644
--- a/posts/57450.html
+++ b/posts/57450.html
@@ -202,7 +202,7 @@ <h2 id="输出-1">输出#1</h2>
 <hr>
 <h1>后序中序转前序(和上方概念类似)</h1>
 <figure class="highlight c++"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br><span class="line">14</span><br><span class="line">15</span><br><span class="line">16</span><br><span class="line">17</span><br><span class="line">18</span><br><span class="line">19</span><br><span class="line">20</span><br><span class="line">21</span><br><span class="line">22</span><br><span class="line">23</span><br><span class="line">24</span><br><span class="line">25</span><br><span class="line">26</span><br><span class="line">27</span><br><span class="line">28</span><br><span class="line">29</span><br><span class="line">30</span><br><span class="line">31</span><br><span class="line">32</span><br><span class="line">33</span><br><span class="line">34</span><br><span class="line">35</span><br><span class="line">36</span><br></pre></td><td class="code"><pre><code class="hljs c++">stack&lt;<span class="hljs-type">char</span>&gt; st;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	string InOrderStr;<br>	string PreOrderStr;<br>	cin &gt;&gt; InOrderStr &gt;&gt; PreOrderStr;<br>	<br>	_find2(InOrderStr, PreOrderStr);<br>	<span class="hljs-keyword">while</span> (!st.<span class="hljs-built_in">empty</span>()) &#123;<br>		cout &lt;&lt; st.<span class="hljs-built_in">top</span>();<br>		st.<span class="hljs-built_in">pop</span>();<br>	&#125;<br><br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br><br><span class="hljs-type">void</span> _find2(string InOrderStr, string PostOrderStr)&#123;<br>	<span class="hljs-keyword">if</span> (PostOrderStr.<span class="hljs-built_in">empty</span>())<span class="hljs-keyword">return</span>;<br>	<span class="hljs-type">char</span> root = PostOrderStr[PostOrderStr.<span class="hljs-built_in">size</span>() - <span class="hljs-number">1</span>];<br>	PostOrderStr.<span class="hljs-built_in">pop_back</span>();<br><br>	<span class="hljs-type">int</span> rootidx = InOrderStr.<span class="hljs-built_in">find</span>(root);<br><br>	string leftIn = InOrderStr.<span class="hljs-built_in">substr</span>(<span class="hljs-number">0</span>, rootidx);<br>	string leftPost = PostOrderStr.<span class="hljs-built_in">substr</span>(<span class="hljs-number">0</span>, rootidx);<br><br>	string rightIn = InOrderStr.<span class="hljs-built_in">substr</span>(rootidx + <span class="hljs-number">1</span>);<br>	string rightPost = PostOrderStr.<span class="hljs-built_in">substr</span>(rootidx);<br><br><br>	_find2(rightIn, rightPost);<br>	_find2(leftIn, leftPost);<br><br>	st.<span class="hljs-built_in">push</span>(root);<br>&#125;<br><br></code></pre></td></tr></table></figure>
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diff --git a/posts/63105.html b/posts/63105.html
index 0d1fd9cd..53eeb099 100644
--- a/posts/63105.html
+++ b/posts/63105.html
@@ -209,7 +209,7 @@ <h1>层序遍历</h1>
 </blockquote>
 <p>通常的遍历，结点在访问后便被丢弃</p>
 <p>要想做到层序的效果，我们需要在访问一个结点时，要注意存下其左右结点（注意判空）</p>
-<figure class="highlight c++"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br></pre></td><td class="code"><pre><code class="hljs c++"><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">BiTree::LevelOrder</span><span class="hljs-params">(BiNode* B)</span> </span>&#123;<br>	BiNode* BQ[<span class="hljs-number">100</span>]; 	<span class="hljs-comment">//队列，用于存放结点</span><br>	BiNode* p;			<span class="hljs-comment">//取出的当前队列最前方结点</span><br>	<span class="hljs-type">int</span> l = <span class="hljs-number">0</span>, r = <span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">if</span>(B) BQ[r++] = B;	<span class="hljs-comment">//判空</span><br><br>	<span class="hljs-keyword">while</span> (l != r) &#123;	<span class="hljs-comment">//跳出循环的条件是队列为空（左右相遇即为空）</span><br>		p = BQ[l++];<br>		cout &lt;&lt; p-&gt;data &lt;&lt; endl;<br>		<span class="hljs-keyword">if</span> (p-&gt;left)BQ[r++] = p-&gt;left;		<span class="hljs-comment">//存入左结点</span><br>		<span class="hljs-keyword">if</span> (p-&gt;right)BQ[r++] = p-&gt;right;	<span class="hljs-comment">//存入右结点</span><br>	&#125;<br>&#125;<br></code></pre></td></tr></table></figure></article><div class="post-copyright"><div class="post-copyright__author"><span class="post-copyright-meta">文章作者: </span><span class="post-copyright-info"><a href="https://luoy-oss.github.io">drluo</a></span></div><div class="post-copyright__type"><span class="post-copyright-meta">文章链接: </span><span class="post-copyright-info"><a 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+<figure class="highlight c++"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br></pre></td><td class="code"><pre><code class="hljs c++"><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">BiTree::LevelOrder</span><span class="hljs-params">(BiNode* B)</span> </span>&#123;<br>	BiNode* BQ[<span class="hljs-number">100</span>]; 	<span class="hljs-comment">//队列，用于存放结点</span><br>	BiNode* p;			<span class="hljs-comment">//取出的当前队列最前方结点</span><br>	<span class="hljs-type">int</span> l = <span class="hljs-number">0</span>, r = <span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">if</span>(B) BQ[r++] = B;	<span class="hljs-comment">//判空</span><br><br>	<span class="hljs-keyword">while</span> (l != r) &#123;	<span class="hljs-comment">//跳出循环的条件是队列为空（左右相遇即为空）</span><br>		p = BQ[l++];<br>		cout &lt;&lt; p-&gt;data &lt;&lt; endl;<br>		<span class="hljs-keyword">if</span> (p-&gt;left)BQ[r++] = p-&gt;left;		<span class="hljs-comment">//存入左结点</span><br>		<span class="hljs-keyword">if</span> (p-&gt;right)BQ[r++] = p-&gt;right;	<span class="hljs-comment">//存入右结点</span><br>	&#125;<br>&#125;<br></code></pre></td></tr></table></figure></article><div class="post-copyright"><div class="post-copyright__author"><span class="post-copyright-meta">文章作者: </span><span class="post-copyright-info"><a href="https://luoy-oss.github.io">drluo</a></span></div><div class="post-copyright__type"><span class="post-copyright-meta">文章链接: </span><span class="post-copyright-info"><a href="https://luoy-oss.github.io/posts/63105">https://luoy-oss.github.io/posts/63105</a></span></div><div class="post-copyright__notice"><span class="post-copyright-meta">版权声明: </span><span class="post-copyright-info">本博客所有文章除特别声明外，均采用 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/" target="_blank">CC BY-NC-SA 4.0</a> 许可协议。转载请注明来自 <a href="https://luoy-oss.github.io" target="_blank">洛屿的小站</a>！</span></div></div><div class="tag_share"><div class="post-meta__tag-list"><a class="post-meta__tags" href="/tags/%E6%A0%91/">树</a><a class="post-meta__tags" href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/">二叉树</a></div><div class="post_share"><div class="social-share" data-image="/img/cover/BiTree.webp" data-sites="facebook,twitter,wechat,weibo,qq"></div><link rel="stylesheet" href="/npm/butterfly-extsrc/sharejs/dist/css/share.min.css" media="print" onload="this.media='all'"><script src="/npm/butterfly-extsrc/sharejs/dist/js/social-share.min.js" defer></script></div></div><div 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diff --git a/posts/633.html b/posts/633.html
index ed0a48b4..1ecd14b3 100644
--- a/posts/633.html
+++ b/posts/633.html
@@ -193,7 +193,7 @@
 <blockquote>
 <p>实现如下，代码解释以注释的方式呈现</p>
 </blockquote>
-<figure class="highlight python"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br><span class="line">14</span><br><span class="line">15</span><br><span class="line">16</span><br><span class="line">17</span><br><span class="line">18</span><br><span class="line">19</span><br><span class="line">20</span><br><span class="line">21</span><br><span class="line">22</span><br><span class="line">23</span><br><span class="line">24</span><br><span class="line">25</span><br><span class="line">26</span><br><span class="line">27</span><br><span class="line">28</span><br><span class="line">29</span><br><span class="line">30</span><br><span class="line">31</span><br><span class="line">32</span><br><span class="line">33</span><br><span class="line">34</span><br><span class="line">35</span><br><span class="line">36</span><br><span class="line">37</span><br><span class="line">38</span><br><span class="line">39</span><br><span class="line">40</span><br><span class="line">41</span><br><span class="line">42</span><br><span class="line">43</span><br><span class="line">44</span><br><span class="line">45</span><br><span class="line">46</span><br><span class="line">47</span><br><span class="line">48</span><br><span class="line">49</span><br><span class="line">50</span><br><span class="line">51</span><br><span class="line">52</span><br><span class="line">53</span><br><span class="line">54</span><br><span class="line">55</span><br><span class="line">56</span><br><span class="line">57</span><br><span class="line">58</span><br><span class="line">59</span><br><span class="line">60</span><br><span class="line">61</span><br><span class="line">62</span><br><span class="line">63</span><br><span class="line">64</span><br><span class="line">65</span><br><span class="line">66</span><br><span class="line">67</span><br><span class="line">68</span><br><span class="line">69</span><br><span class="line">70</span><br><span class="line">71</span><br><span class="line">72</span><br><span class="line">73</span><br><span class="line">74</span><br><span class="line">75</span><br><span class="line">76</span><br><span class="line">77</span><br><span class="line">78</span><br><span class="line">79</span><br><span class="line">80</span><br><span class="line">81</span><br><span class="line">82</span><br><span class="line">83</span><br><span class="line">84</span><br><span class="line">85</span><br><span class="line">86</span><br><span class="line">87</span><br><span class="line">88</span><br><span class="line">89</span><br><span class="line">90</span><br><span class="line">91</span><br><span class="line">92</span><br><span class="line">93</span><br><span class="line">94</span><br><span class="line">95</span><br><span class="line">96</span><br><span class="line">97</span><br><span class="line">98</span><br><span class="line">99</span><br><span class="line">100</span><br><span class="line">101</span><br><span class="line">102</span><br><span class="line">103</span><br><span class="line">104</span><br><span class="line">105</span><br><span class="line">106</span><br><span class="line">107</span><br><span class="line">108</span><br><span class="line">109</span><br><span class="line">110</span><br><span class="line">111</span><br><span class="line">112</span><br><span class="line">113</span><br><span class="line">114</span><br><span class="line">115</span><br><span class="line">116</span><br><span class="line">117</span><br><span class="line">118</span><br><span class="line">119</span><br><span class="line">120</span><br><span class="line">121</span><br><span class="line">122</span><br><span class="line">123</span><br><span class="line">124</span><br><span class="line">125</span><br><span class="line">126</span><br><span class="line">127</span><br><span class="line">128</span><br><span class="line">129</span><br><span class="line">130</span><br><span class="line">131</span><br><span class="line">132</span><br><span class="line">133</span><br><span class="line">134</span><br><span class="line">135</span><br><span class="line">136</span><br><span class="line">137</span><br><span class="line">138</span><br><span class="line">139</span><br><span class="line">140</span><br><span class="line">141</span><br><span class="line">142</span><br><span class="line">143</span><br><span class="line">144</span><br><span class="line">145</span><br><span class="line">146</span><br><span class="line">147</span><br><span class="line">148</span><br><span class="line">149</span><br><span class="line">150</span><br><span class="line">151</span><br><span 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class="line">182</span><br><span class="line">183</span><br><span class="line">184</span><br><span class="line">185</span><br><span class="line">186</span><br><span class="line">187</span><br><span class="line">188</span><br><span class="line">189</span><br><span class="line">190</span><br><span class="line">191</span><br><span class="line">192</span><br><span class="line">193</span><br><span class="line">194</span><br><span class="line">195</span><br><span class="line">196</span><br><span class="line">197</span><br><span class="line">198</span><br><span class="line">199</span><br><span class="line">200</span><br><span class="line">201</span><br><span class="line">202</span><br><span class="line">203</span><br><span class="line">204</span><br><span class="line">205</span><br><span class="line">206</span><br><span class="line">207</span><br><span class="line">208</span><br><span class="line">209</span><br><span class="line">210</span><br><span class="line">211</span><br><span class="line">212</span><br><span class="line">213</span><br><span class="line">214</span><br><span class="line">215</span><br><span class="line">216</span><br><span class="line">217</span><br><span class="line">218</span><br><span class="line">219</span><br><span class="line">220</span><br><span class="line">221</span><br><span class="line">222</span><br><span class="line">223</span><br><span class="line">224</span><br><span class="line">225</span><br><span class="line">226</span><br><span class="line">227</span><br><span class="line">228</span><br><span class="line">229</span><br><span class="line">230</span><br><span class="line">231</span><br><span class="line">232</span><br><span class="line">233</span><br><span class="line">234</span><br><span class="line">235</span><br><span class="line">236</span><br><span class="line">237</span><br><span class="line">238</span><br><span class="line">239</span><br></pre></td><td class="code"><pre><code class="hljs python"><span class="hljs-keyword">import</span> numpy <span class="hljs-keyword">as</span> np<br><span class="hljs-keyword">import</span> torch<br><span class="hljs-keyword">import</span> torch.nn <span class="hljs-keyword">as</span> nn<br><span class="hljs-keyword">import</span> torch.optim <span class="hljs-keyword">as</span> optim<br><span class="hljs-keyword">import</span> torch.nn.functional <span class="hljs-keyword">as</span> F<br><span class="hljs-keyword">import</span> matplotlib.pyplot <span class="hljs-keyword">as</span> plt<br><br><span class="hljs-keyword">class</span> <span class="hljs-title class_">BiLSTM_Attention</span>(nn.Module):<br>    <span class="hljs-keyword">def</span> <span class="hljs-title function_">__init__</span>(<span class="hljs-params">self</span>):<br>        <span class="hljs-built_in">super</span>(BiLSTM_Attention, self).__init__()<br><br>        <span class="hljs-comment"># 嵌入层，用于将文本中的词汇映射为密集向量表示</span><br>        <span class="hljs-comment"># nn.Embedding 是PyTorch提供的用于词嵌入（Word Embedding）的层。</span><br>        <span class="hljs-comment"># vocab_size 是词汇表大小，代表有多少个不同的词汇。</span><br>        <span class="hljs-comment"># embedding_dim 是嵌入向量的维度，它将每个词汇映射到一个具有 embedding_dim 维度的向量空间中</span><br>        self.embedding = nn.Embedding(vocab_size, embedding_dim)<br><br>        <span class="hljs-comment"># 双向LSTM层，处理嵌入后的词向量，生成LSTM输出</span><br>        <span class="hljs-comment"># nn.LSTM 是PyTorch提供的LSTM层。</span><br>        <span class="hljs-comment"># embedding_dim 是嵌入向量的维度，也是LSTM层的输入尺寸（input_size），代表每个时间步的输入特征维度。</span><br>        <span class="hljs-comment"># n_hidden 是LSTM层的隐藏单元数（hidden_size），代表每个时间步的隐藏状态的维度</span><br>        <span class="hljs-comment"># bidirectional=True 表示该LSTM是双向的，即同时考虑正向和反向的序列信息，增加了模型对序列信息的理解能力。</span><br>        <span class="hljs-comment"># 这个LSTM层将用于处理输入的嵌入向量，生成LSTM的输出和最终的隐藏状态</span><br>        self.lstm = nn.LSTM(embedding_dim, n_hidden, bidirectional=<span class="hljs-literal">True</span>)<br><br>        <span class="hljs-comment"># 双向LSTM层，处理嵌入后的词向量，生成LSTM输出</span><br>        <span class="hljs-comment"># nn.Linear 是PyTorch提供的全连接（线性）层。</span><br>        <span class="hljs-comment"># n_hidden * 2 表示输入特征的维度，由于使用了双向LSTM，所以将正向和反向的隐藏状态拼接在一起，维度变为原来的两倍。</span><br>        <span class="hljs-comment"># num_classes 表示分类问题的类别数，因为这是一个二分类任务，所以设为2。</span><br>        <span class="hljs-comment"># 这个输出层将用于将LSTM的输出转换为最终的分类结果。输出为2维，其中一个维度表示负面情感的概率，另一个维度表示正面情感的概率</span><br>        self.out = nn.Linear(n_hidden * <span class="hljs-number">2</span>, num_classes)<br><br>    <span class="hljs-comment"># 该函数用于计算注意力权重，然后根据注意力权重对LSTM输出进行加权平均得到上下文向量</span><br>    <span class="hljs-comment"># lstm_output : LSTM的输出，维度为 [batch_size, n_step, n_hidden * num_directions(=2)]</span><br>    <span class="hljs-comment"># final_state : LSTM最终的隐藏状态，维度为 [num_layers(=1) * num_directions(=2), batch_size, n_hidden]</span><br>    <span class="hljs-keyword">def</span> <span class="hljs-title function_">attention_net</span>(<span class="hljs-params">self, lstm_output, final_state</span>):<br>        <span class="hljs-comment"># final_state 是LSTM在输入序列最后一个时间步的隐藏状态，维度为 [num_layers(=1) * num_directions(=2), batch_size, n_hidden]</span><br>        <span class="hljs-comment"># n_hidden * 2 表示双向LSTM的隐藏状态的维度，乘以2是因为它包含了前向和后向两个方向的隐藏状态。</span><br>        <span class="hljs-comment"># final_state.view(-1, n_hidden * 2, 1) 将 final_state 的维度从 [num_layers * num_directions, batch_size, n_hidden]</span><br>        <span class="hljs-comment"># 转换为 [batch_size, n_hidden * 2, 1]，在第三维度上增加了一个维度，这是为了后续计算注意力权重做准备</span><br>        <span class="hljs-comment"># hidden : [batch_size, n_hidden * num_directions(=2), 1(=n_layer)]</span><br>        hidden = final_state.view(-<span class="hljs-number">1</span>, n_hidden * <span class="hljs-number">2</span>, <span class="hljs-number">1</span>)<br><br>        <span class="hljs-comment"># lstm_output 是LSTM的输出，维度为 [batch_size, n_step, n_hidden * num_directions(=2)]。</span><br>        <span class="hljs-comment"># hidden 是通过上面的操作得到的 final_state 的改变维度后的表示，维度为 [batch_size, n_hidden * 2, 1]。</span><br>        <span class="hljs-comment"># torch.bmm(lstm_output, hidden) 进行矩阵相乘，实现对 lstm_output 和 hidden 进行注意力权重的计算。注意力权重表示LSTM输出中每个时间步对应的重要程度。</span><br>        <span class="hljs-comment"># squeeze(2) 将注意力权重张量的第三个维度（为1维）挤压掉，得到维度为 [batch_size, n_step] 的 attn_weights</span><br>        attn_weights = torch.bmm(lstm_output, hidden).squeeze(<span class="hljs-number">2</span>) <span class="hljs-comment"># attn_weights : [batch_size, n_step]</span><br><br>        <span class="hljs-comment"># F.softmax(attn_weights, 1) 对注意力权重 attn_weights 进行softmax操作，将注意力权重转换为概率分布，使得每个时间步的权重值在0到1之间且和为1</span><br>        soft_attn_weights = F.softmax(attn_weights, <span class="hljs-number">1</span>)<br><br><br>        <span class="hljs-comment"># [batch_size, n_hidden * num_directions(=2), n_step] * [batch_size, n_step, 1] = [batch_size, n_hidden * num_directions(=2), 1]</span><br>        <span class="hljs-comment"># lstm_output.transpose(1, 2) 对LSTM输出进行转置，维度从 [batch_size, n_step, n_hidden * num_directions] 变为 [batch_size, n_hidden * num_directions, n_step]。</span><br>        <span class="hljs-comment"># soft_attn_weights.unsqueeze(2) 将 soft_attn_weights 张量的维度从 [batch_size, n_step] 扩展为 [batch_size, n_step, 1]，以便进行矩阵相乘。</span><br>        <span class="hljs-comment"># torch.bmm(lstm_output.transpose(1, 2), soft_attn_weights.unsqueeze(2)) 实现LSTM输出和注意力权重的加权平均，得到上下文向量。</span><br>        <span class="hljs-comment"># squeeze(2) 将上下文向量张量的第三个维度（为1维）挤压掉，得到维度为 [batch_size, n_hidden * num_directions] 的 context</span><br>        context = torch.bmm(lstm_output.transpose(<span class="hljs-number">1</span>, <span class="hljs-number">2</span>), soft_attn_weights.unsqueeze(<span class="hljs-number">2</span>)).squeeze(<span class="hljs-number">2</span>)<br><br>        <span class="hljs-comment"># 返回上下文向量 context 和注意力权重 soft_attn_weights。</span><br>        <span class="hljs-comment"># context 是根据注意力权重加权平均得到的LSTM输出的上下文向量，用于表示输入序列的重要信息。</span><br>        <span class="hljs-comment"># soft_attn_weights.data.numpy() 将注意力权重 soft_attn_weights 转换为NumPy数组形式并返回，以便后续可视化注意力权重矩阵</span><br>        <span class="hljs-keyword">return</span> context, soft_attn_weights.data.numpy() <span class="hljs-comment"># context : [batch_size, n_hidden * num_directions(=2)]</span><br><br>    <span class="hljs-comment"># 前向传播函数</span><br>    <span class="hljs-comment"># X : 输入的文本序列，维度为 [batch_size, len_seq]</span><br>    <span class="hljs-keyword">def</span> <span class="hljs-title function_">forward</span>(<span class="hljs-params">self, X</span>):<br>        <span class="hljs-comment"># 首先将输入进行嵌入操作，然后交换维度以适应LSTM的输入格式</span><br>        <span class="hljs-comment"># 这里使用了 nn.Embedding 层，将输入的文本序列 X 中的每个词汇（对应的索引）映射为一个密集向量表示。</span><br>        <span class="hljs-comment"># input 变量维度为 [batch_size, len_seq, embedding_dim]</span><br>        <span class="hljs-comment"># 其中 batch_size 表示批次大小，len_seq 表示每个句子中的词汇数，embedding_dim 表示词向量的维度。</span><br>        <span class="hljs-built_in">input</span> = self.embedding(X)<br><br><br>        <span class="hljs-comment"># 交换维度以适应LSTM的输入格式</span><br>        <span class="hljs-comment"># LSTM模型的输入需要将序列长度维度放在第一位，因此这里使用 permute 方法交换了 input 的维度，使其变为 [len_seq, batch_size, embedding_dim]</span><br>        <span class="hljs-built_in">input</span> = <span class="hljs-built_in">input</span>.permute(<span class="hljs-number">1</span>, <span class="hljs-number">0</span>, <span class="hljs-number">2</span>)<br><br><br>        <span class="hljs-comment"># 初始化LSTM的隐藏状态和记忆单元状态为全零张量</span><br>        <span class="hljs-comment"># 这里创建了两个零张量 hidden_state 和 cell_state</span><br>        <span class="hljs-comment"># 用于存储LSTM的初始隐藏状态和记忆单元状态。</span><br>        <span class="hljs-comment"># 这里 1*2 表示LSTM的层数乘以双向LSTM的方向数（正向和反向）</span><br><br>        <span class="hljs-comment"># 维度为：[num_layers(=1) * num_directions(=2), batch_size, n_hidden]</span><br>        hidden_state = torch.zeros(<span class="hljs-number">1</span>*<span class="hljs-number">2</span>, <span class="hljs-built_in">len</span>(X), n_hidden)<br>        <span class="hljs-comment"># 维度为：[num_layers(=1) * num_directions(=2), batch_size, n_hidden]</span><br>        cell_state = torch.zeros(<span class="hljs-number">1</span>*<span class="hljs-number">2</span>, <span class="hljs-built_in">len</span>(X), n_hidden)<br><br>        <span class="hljs-comment"># final_hidden_state, final_cell_state : [num_layers(=1) * num_directions(=2), batch_size, n_hidden]</span><br>        <span class="hljs-comment"># 将嵌入后的序列输入LSTM，得到输出和最终的隐藏状态</span><br>        <span class="hljs-comment"># 这里调用了 nn.LSTM 层 self.lstm 来进行前向传播。</span><br>        <span class="hljs-comment"># output 是LSTM在所有时间步的输出，维度为 [len_seq, batch_size, n_hidden * num_directions(=2)]。</span><br>        <span class="hljs-comment"># final_hidden_state 和 final_cell_state 是LSTM的最终隐藏状态和记忆单元状态，维度均为 [num_layers(=1) * num_directions(=2), batch_size, n_hidden]</span><br>        output, (final_hidden_state, final_cell_state) = self.lstm(<span class="hljs-built_in">input</span>, (hidden_state, cell_state))<br><br><br>        <span class="hljs-comment"># 这里再次使用 permute 方法调整输出维度，使output恢复为 [batch_size, len_seq, n_hidden]</span><br>        output = output.permute(<span class="hljs-number">1</span>, <span class="hljs-number">0</span>, <span class="hljs-number">2</span>)<br><br><br>        <span class="hljs-comment"># 调用 attention_net 函数得到注意力加权的上下文向量。</span><br>        <span class="hljs-comment"># 将上下文向量输入输出层，得到最终的分类结果和注意力权重</span><br>        <span class="hljs-comment"># 这里调用了在 BiLSTM_Attention 类中定义的 attention_net 方法</span><br>        <span class="hljs-comment"># 该方法用于计算注意力权重并将其应用于LSTM输出 output，得到上下文向量 attn_output 和注意力权重矩阵 attention</span><br>        attn_output, attention = self.attention_net(output, final_hidden_state)<br><br>        <span class="hljs-comment"># 将上下文向量输入输出层，得到最终的分类结果和注意力权重</span><br>        <span class="hljs-comment"># 这里将上下文向量 attn_output 输入全连接输出层 self.out，得到最终的分类结果(model)，维度为 [batch_size, num_classes]。</span><br>        <span class="hljs-comment"># 返回注意力权重矩阵(attention)，维度为 [batch_size, n_step]。</span><br>        <span class="hljs-comment"># 注意力权重矩阵表示模型在分类时对文本序列中每个词的关注程度，可以用于可视化和分析模型的注意力行为</span><br>        <span class="hljs-keyword">return</span> self.out(attn_output), attention<br><br><span class="hljs-keyword">if</span> __name__ == <span class="hljs-string">&#x27;__main__&#x27;</span>:<br>    <span class="hljs-comment"># embedding_dim 是嵌入维度，用于表示文本中的每个词汇的密集向量表示。</span><br>    <span class="hljs-comment"># 在自然语言处理任务中，文本数据往往是由离散的词汇组成，而神经网络很难直接处理这种离散形式的数据。</span><br>    <span class="hljs-comment"># 因此，需要将文本中的词汇映射为连续的向量表示，以便神经网络能够处理。</span><br>    <span class="hljs-comment"># 嵌入层（nn.Embedding）就是用来完成这个映射过程的。</span><br>    <span class="hljs-comment"># 它接受一个词汇表的大小（vocab_size）和一个嵌入维度（embedding_dim）作为输入，</span><br>    <span class="hljs-comment"># 然后根据词汇表的大小创建一个随机初始化的嵌入矩阵，其中每个词汇对应一个向量，</span><br>    <span class="hljs-comment"># 向量的维度为 embedding_dim。模型在训练过程中，会根据文本数据对这些嵌入向量进行学习，使得相似的词汇在嵌入空间中距离更近，有更好的表示能力</span><br>    embedding_dim = <span class="hljs-number">2</span><br><br>    <span class="hljs-comment"># n_hidden 表示LSTM隐藏层中的隐藏单元数（也称为隐藏状态的维度）。</span><br>    <span class="hljs-comment"># 在双向LSTM模型中，LSTM层会有两个方向的隐藏状态，所以总的隐藏单元数会是 n_hidden * 2。</span><br>    <span class="hljs-comment"># 在LSTM中，隐藏状态（hidden state）用于存储过去时间步的信息，通过更新和传递隐藏状态，LSTM能够在处理时间序列数据时更好地捕捉长期依赖关系。</span><br>    <span class="hljs-comment"># n_hidden 的值会影响LSTM模型的表示能力和学习能力，过小的值可能会导致模型拟合不足，无法捕获数据的复杂模式，而过大的值可能会增加模型复杂性，使得训练过程变得困难。</span><br>    <span class="hljs-comment"># 通常，对于不同的任务和数据集，合适的 n_hidden 取值会有所差异。</span><br>    <span class="hljs-comment"># 选择合适的 n_hidden 取决于数据集的大小和复杂度，以及任务的复杂性。</span><br>    <span class="hljs-comment"># 常见的做法是通过尝试不同的 n_hidden 值，然后根据在验证集上的性能选择最优的值</span><br>    n_hidden = <span class="hljs-number">5</span><br><br>    <span class="hljs-comment"># num_classes 在这个代码中用于指定文本分类任务的类别数量。在该代码中，文本分类任务有两个类别，即&quot;好&quot;和&quot;不好&quot;，分别用 1 和 0 表示。</span><br>    <span class="hljs-comment"># 在模型的输出层，我们使用 self.out = nn.Linear(n_hidden * 2, num_classes) 这一行代码来定义输出层。</span><br>    <span class="hljs-comment"># 这个输出层是一个全连接层，将 LSTM 输出的特征（n_hidden * 2 维）转换成最终的分类结果（num_classes 维）。</span><br>    <span class="hljs-comment"># 对于本例中的二分类任务，num_classes 为 2，因为我们需要输出两个值（0或1）来表示分类结果。</span><br>    <span class="hljs-comment"># 这样，模型的输出维度就对应着两个类别的概率分布。</span><br><br>    <span class="hljs-comment"># 在训练阶段，模型输出的结果会通过 softmax 函数处理，得到对应类别的概率分布。</span><br>    <span class="hljs-comment"># 例如，如果模型输出 [0.7, 0.3]，则表示模型认为该文本属于&quot;好&quot;的概率为 0.7，属于&quot;不好&quot;的概率为 0.3。最终分类结果会根据概率值选择概率较大的类别，例如这里会选择&quot;好&quot;类别(0.7 &gt; 0.3)。</span><br>    <span class="hljs-comment"># 因此，num_classes 在代码中用于定义输出层的维度，确保模型能够输出正确的类别概率分布，并根据分类结果进行准确的文本分类</span><br>    num_classes = <span class="hljs-number">2</span><br><br>    <span class="hljs-comment"># 3词汇句子</span><br><span class="hljs-comment">#    sentences = [&quot;我 爱 你&quot;, &quot;他 爱 我&quot;, &quot;她 喜欢 篮球&quot;, &quot;她 喜欢 他&quot;, &quot;我 讨厌 你&quot;,&quot;他 讨厌 我&quot;, &quot;我 对不起 你&quot;]</span><br><span class="hljs-comment">#    labels = [1, 1, 1, 1, 0, 0, 0]  # 1 是 好, 0 是 不好. 构建词汇表，并为每个词汇赋予一个唯一的索引</span><br>    sentences = [<span class="hljs-string">&quot;我 爱 你&quot;</span>, <span class="hljs-string">&quot;他 爱 我&quot;</span>, <span class="hljs-string">&quot;她 喜欢 篮球&quot;</span>, <span class="hljs-string">&quot;她 喜欢 他&quot;</span>, <span class="hljs-string">&quot;我 讨厌 你&quot;</span>, <span class="hljs-string">&quot;他 讨厌 我&quot;</span>, <span class="hljs-string">&quot;我 对不起 你&quot;</span>,<br>                 <span class="hljs-string">&quot;我 很高兴&quot;</span>,<span class="hljs-string">&quot;他 很高兴&quot;</span>,<span class="hljs-string">&quot;你 很高兴&quot;</span>,<span class="hljs-string">&quot;我 不高兴&quot;</span>,<span class="hljs-string">&quot;他 不高兴&quot;</span>,<span class="hljs-string">&quot;她 不高兴&quot;</span>]<br>    labels = [<span class="hljs-number">1</span>, <span class="hljs-number">1</span>, <span class="hljs-number">1</span>, <span class="hljs-number">1</span>, <span class="hljs-number">0</span>, <span class="hljs-number">0</span>, <span class="hljs-number">0</span>, <span class="hljs-number">1</span>,<span class="hljs-number">1</span>,<span class="hljs-number">1</span>,<span class="hljs-number">0</span>,<span class="hljs-number">0</span>,<span class="hljs-number">0</span>]<br><br>    <span class="hljs-comment"># Define the maximum sequence length</span><br>    max_seq_length = <span class="hljs-number">6</span><br><br>    <span class="hljs-comment"># 为每个句子添加一个特殊的标记（例如&lt;PAD&gt;），使其与最长句子长度保持一致，以便构成一个批次的张量输入</span><br>    <span class="hljs-keyword">def</span> <span class="hljs-title function_">pad_sequence</span>(<span class="hljs-params">sentence, max_len</span>):<br>        words = sentence.split()<br>        <span class="hljs-keyword">if</span> <span class="hljs-built_in">len</span>(words) &lt; max_len:<br>            words.extend([<span class="hljs-string">&#x27;&lt;PAD&gt;&#x27;</span>] * (max_len - <span class="hljs-built_in">len</span>(words)))<br>        <span class="hljs-keyword">return</span> <span class="hljs-string">&quot; &quot;</span>.join(words[:max_len])<br><br>    <span class="hljs-comment"># 对所有句子进行填充</span><br>    sentences = [pad_sequence(sentence, max_seq_length) <span class="hljs-keyword">for</span> sentence <span class="hljs-keyword">in</span> sentences]<br><br>    <span class="hljs-comment"># 构建词汇表，并为每个词汇赋予一个唯一的索引</span><br>    <span class="hljs-comment"># 这段代码将所有的文本合并成一个字符串，然后按照空格分割成词汇列表。</span><br>    <span class="hljs-comment"># 使用set去重，确保每个词汇只出现一次，然后为每个词汇赋予一个唯一的索引。</span><br>    <span class="hljs-comment"># 构建出词汇表word_dict，其中键是词汇，值是对应的唯一索引，vocab_size表示词汇表的大小</span><br>    word_list = <span class="hljs-string">&quot; &quot;</span>.join(sentences).split()<br>    word_list = <span class="hljs-built_in">list</span>(<span class="hljs-built_in">set</span>(word_list))<br>    word_dict = &#123;w: i <span class="hljs-keyword">for</span> i, w <span class="hljs-keyword">in</span> <span class="hljs-built_in">enumerate</span>(word_list)&#125;<br>    vocab_size = <span class="hljs-built_in">len</span>(word_dict)<br><br>    <span class="hljs-comment"># 创建 BiLSTM_Attention 类的实例 model</span><br>    <span class="hljs-comment"># 创建了一个带有注意力机制的双向LSTM文本分类模型</span><br>    model = BiLSTM_Attention()<br><br>    <span class="hljs-comment"># 定义损失函数 criterion 为交叉熵损失，优化器 optimizer 为Adam优化器</span><br>    <span class="hljs-comment"># 交叉熵损失适用于多分类任务，而Adam优化器是一种常用的优化算法</span><br>    criterion = nn.CrossEntropyLoss()<br>    optimizer = optim.Adam(model.parameters(), lr=<span class="hljs-number">0.001</span>)<br><br>    <span class="hljs-comment"># 准备输入数据 inputs 和目标标签 targets</span><br>    <span class="hljs-comment"># 这段代码首先将每个句子转换为对应的索引序列，并将其转换为PyTorch的LongTensor类型，作为输入数据inputs。</span><br>    <span class="hljs-comment"># targets是标签序列，也转换为PyTorch的LongTensor类型。</span><br>    inputs = torch.LongTensor([np.asarray([word_dict[n] <span class="hljs-keyword">for</span> n <span class="hljs-keyword">in</span> sen.split()]) <span class="hljs-keyword">for</span> sen <span class="hljs-keyword">in</span> sentences])<br>    targets = torch.LongTensor([out <span class="hljs-keyword">for</span> out <span class="hljs-keyword">in</span> labels])  <span class="hljs-comment"># To using Torch Softmax Loss function</span><br><br>    <span class="hljs-comment"># 进行模型训练</span><br>    <span class="hljs-keyword">for</span> epoch <span class="hljs-keyword">in</span> <span class="hljs-built_in">range</span>(<span class="hljs-number">5000</span>):<br>        <span class="hljs-comment"># 在每一轮训练中，首先将优化器的梯度清零（optimizer.zero_grad()）</span><br>        optimizer.zero_grad()<br><br>        <span class="hljs-comment"># 然后将输入数据输入模型，得到模型的输出和注意力权重。</span><br>        output, attention = model(inputs)<br><br>        <span class="hljs-comment"># 计算交叉熵损失</span><br>        loss = criterion(output, targets)<br>        <span class="hljs-keyword">if</span> (epoch + <span class="hljs-number">1</span>) % <span class="hljs-number">1000</span> == <span class="hljs-number">0</span>:<br>            <span class="hljs-built_in">print</span>(<span class="hljs-string">&#x27;Epoch:&#x27;</span>, <span class="hljs-string">&#x27;%04d&#x27;</span> % (epoch + <span class="hljs-number">1</span>), <span class="hljs-string">&#x27;cost =&#x27;</span>, <span class="hljs-string">&#x27;&#123;:.6f&#125;&#x27;</span>.<span class="hljs-built_in">format</span>(loss))<br><br>        <span class="hljs-comment"># 进行反向传播</span><br>        loss.backward()<br><br>        <span class="hljs-comment"># 参数优化</span><br>        optimizer.step()<br><br>    <span class="hljs-comment"># Test</span><br>    <span class="hljs-comment"># 定义一个测试文本 test_text</span><br>    test_text = <span class="hljs-string">&#x27;她 不高兴&#x27;</span><br>    <span class="hljs-comment"># 并转换为张量</span><br>    tests = [np.asarray([word_dict[n] <span class="hljs-keyword">for</span> n <span class="hljs-keyword">in</span> test_text.split()])]<br>    <span class="hljs-comment"># print(tests)</span><br><br>    test_batch = torch.LongTensor(tests)<br><br>    <span class="hljs-comment"># 进行预测</span><br>    predict, _ = model(test_batch)<br>    predict = predict.data.<span class="hljs-built_in">max</span>(<span class="hljs-number">1</span>, keepdim=<span class="hljs-literal">True</span>)[<span class="hljs-number">1</span>]<br>    <span class="hljs-comment"># 根据预测结果，判断测试文本的意义是&quot;好&quot;还是&quot;不好&quot;</span><br>    <span class="hljs-keyword">if</span> predict[<span class="hljs-number">0</span>][<span class="hljs-number">0</span>] == <span class="hljs-number">0</span>:<br>        <span class="hljs-built_in">print</span>(test_text,<span class="hljs-string">&quot;is Bad Mean...&quot;</span>)<br>    <span class="hljs-keyword">else</span>:<br>        <span class="hljs-built_in">print</span>(test_text,<span class="hljs-string">&quot;is Good Mean!!&quot;</span>)<br><br><br>    <span class="hljs-comment"># 可视化注意力权重</span><br>    <span class="hljs-comment"># 这段代码使用Matplotlib绘制了注意力权重矩阵的热力图。</span><br>    <span class="hljs-comment"># 矩阵的横轴表示文本序列中的每个词汇（&quot;first_word&quot;, &quot;second_word&quot;, &quot;third_word&quot;）</span><br>    <span class="hljs-comment"># 纵轴表示输入数据的批次（&quot;batch_1&quot;, &quot;batch_2&quot;, &quot;batch_3&quot;, &quot;batch_4&quot;, &quot;batch_5&quot;, &quot;batch_6&quot;）。</span><br>    <span class="hljs-comment"># 不同颜色的方块表示不同位置的词汇在分类时所受到的注意力程度。</span><br>    <span class="hljs-comment"># 通过该热力图可以观察模型在分类时关注的重要词</span><br>    fig = plt.figure(figsize=(<span class="hljs-number">6</span>, <span class="hljs-number">3</span>)) <span class="hljs-comment"># [batch_size, n_step]</span><br>    ax = fig.add_subplot(<span class="hljs-number">1</span>, <span class="hljs-number">1</span>, <span class="hljs-number">1</span>)<br>    ax.matshow(attention, cmap=<span class="hljs-string">&#x27;viridis&#x27;</span>)<br>    ax.set_xticklabels([<span class="hljs-string">&#x27;&#x27;</span>]+[<span class="hljs-string">&#x27;first_word&#x27;</span>, <span class="hljs-string">&#x27;second_word&#x27;</span>, <span class="hljs-string">&#x27;third_word&#x27;</span>], fontdict=&#123;<span class="hljs-string">&#x27;fontsize&#x27;</span>: <span class="hljs-number">14</span>&#125;, rotation=<span class="hljs-number">90</span>)<br>    ax.set_yticklabels([<span class="hljs-string">&#x27;&#x27;</span>]+[<span class="hljs-string">&#x27;batch_1&#x27;</span>, <span class="hljs-string">&#x27;batch_2&#x27;</span>, <span class="hljs-string">&#x27;batch_3&#x27;</span>, <span class="hljs-string">&#x27;batch_4&#x27;</span>, <span class="hljs-string">&#x27;batch_5&#x27;</span>, <span class="hljs-string">&#x27;batch_6&#x27;</span>], fontdict=&#123;<span class="hljs-string">&#x27;fontsize&#x27;</span>: <span class="hljs-number">14</span>&#125;)<br>    plt.show()<br><br></code></pre></td></tr></table></figure></article><div class="post-copyright"><div class="post-copyright__author"><span class="post-copyright-meta">文章作者: </span><span class="post-copyright-info"><a href="https://luoy-oss.github.io">drluo</a></span></div><div class="post-copyright__type"><span class="post-copyright-meta">文章链接: </span><span class="post-copyright-info"><a href="https://luoy-oss.github.io/posts/633">https://luoy-oss.github.io/posts/633</a></span></div><div class="post-copyright__notice"><span class="post-copyright-meta">版权声明: </span><span class="post-copyright-info">本博客所有文章除特别声明外，均采用 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/" target="_blank">CC BY-NC-SA 4.0</a> 许可协议。转载请注明来自 <a href="https://luoy-oss.github.io" target="_blank">洛屿的小站</a>！</span></div></div><div class="tag_share"><div class="post-meta__tag-list"><a class="post-meta__tags" href="/tags/PyTorch/">PyTorch</a><a class="post-meta__tags" 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class="hljs-keyword">import</span> numpy <span class="hljs-keyword">as</span> np<br><span class="hljs-keyword">import</span> torch<br><span class="hljs-keyword">import</span> torch.nn <span class="hljs-keyword">as</span> nn<br><span class="hljs-keyword">import</span> torch.optim <span class="hljs-keyword">as</span> optim<br><span class="hljs-keyword">import</span> torch.nn.functional <span class="hljs-keyword">as</span> F<br><span class="hljs-keyword">import</span> matplotlib.pyplot <span class="hljs-keyword">as</span> plt<br><br><span class="hljs-keyword">class</span> <span class="hljs-title class_">BiLSTM_Attention</span>(nn.Module):<br>    <span class="hljs-keyword">def</span> <span class="hljs-title function_">__init__</span>(<span class="hljs-params">self</span>):<br>        <span class="hljs-built_in">super</span>(BiLSTM_Attention, self).__init__()<br><br>        <span class="hljs-comment"># 嵌入层，用于将文本中的词汇映射为密集向量表示</span><br>        <span class="hljs-comment"># nn.Embedding 是PyTorch提供的用于词嵌入（Word Embedding）的层。</span><br>        <span class="hljs-comment"># vocab_size 是词汇表大小，代表有多少个不同的词汇。</span><br>        <span class="hljs-comment"># embedding_dim 是嵌入向量的维度，它将每个词汇映射到一个具有 embedding_dim 维度的向量空间中</span><br>        self.embedding = nn.Embedding(vocab_size, embedding_dim)<br><br>        <span class="hljs-comment"># 双向LSTM层，处理嵌入后的词向量，生成LSTM输出</span><br>        <span class="hljs-comment"># nn.LSTM 是PyTorch提供的LSTM层。</span><br>        <span class="hljs-comment"># embedding_dim 是嵌入向量的维度，也是LSTM层的输入尺寸（input_size），代表每个时间步的输入特征维度。</span><br>        <span class="hljs-comment"># n_hidden 是LSTM层的隐藏单元数（hidden_size），代表每个时间步的隐藏状态的维度</span><br>        <span class="hljs-comment"># bidirectional=True 表示该LSTM是双向的，即同时考虑正向和反向的序列信息，增加了模型对序列信息的理解能力。</span><br>        <span class="hljs-comment"># 这个LSTM层将用于处理输入的嵌入向量，生成LSTM的输出和最终的隐藏状态</span><br>        self.lstm = nn.LSTM(embedding_dim, n_hidden, bidirectional=<span class="hljs-literal">True</span>)<br><br>        <span class="hljs-comment"># 双向LSTM层，处理嵌入后的词向量，生成LSTM输出</span><br>        <span class="hljs-comment"># nn.Linear 是PyTorch提供的全连接（线性）层。</span><br>        <span class="hljs-comment"># n_hidden * 2 表示输入特征的维度，由于使用了双向LSTM，所以将正向和反向的隐藏状态拼接在一起，维度变为原来的两倍。</span><br>        <span class="hljs-comment"># num_classes 表示分类问题的类别数，因为这是一个二分类任务，所以设为2。</span><br>        <span class="hljs-comment"># 这个输出层将用于将LSTM的输出转换为最终的分类结果。输出为2维，其中一个维度表示负面情感的概率，另一个维度表示正面情感的概率</span><br>        self.out = nn.Linear(n_hidden * <span class="hljs-number">2</span>, num_classes)<br><br>    <span class="hljs-comment"># 该函数用于计算注意力权重，然后根据注意力权重对LSTM输出进行加权平均得到上下文向量</span><br>    <span class="hljs-comment"># lstm_output : LSTM的输出，维度为 [batch_size, n_step, n_hidden * num_directions(=2)]</span><br>    <span class="hljs-comment"># final_state : LSTM最终的隐藏状态，维度为 [num_layers(=1) * num_directions(=2), batch_size, n_hidden]</span><br>    <span class="hljs-keyword">def</span> <span class="hljs-title function_">attention_net</span>(<span class="hljs-params">self, lstm_output, final_state</span>):<br>        <span class="hljs-comment"># final_state 是LSTM在输入序列最后一个时间步的隐藏状态，维度为 [num_layers(=1) * num_directions(=2), batch_size, n_hidden]</span><br>        <span class="hljs-comment"># n_hidden * 2 表示双向LSTM的隐藏状态的维度，乘以2是因为它包含了前向和后向两个方向的隐藏状态。</span><br>        <span class="hljs-comment"># final_state.view(-1, n_hidden * 2, 1) 将 final_state 的维度从 [num_layers * num_directions, batch_size, n_hidden]</span><br>        <span class="hljs-comment"># 转换为 [batch_size, n_hidden * 2, 1]，在第三维度上增加了一个维度，这是为了后续计算注意力权重做准备</span><br>        <span class="hljs-comment"># hidden : [batch_size, n_hidden * num_directions(=2), 1(=n_layer)]</span><br>        hidden = final_state.view(-<span class="hljs-number">1</span>, n_hidden * <span class="hljs-number">2</span>, <span class="hljs-number">1</span>)<br><br>        <span class="hljs-comment"># lstm_output 是LSTM的输出，维度为 [batch_size, n_step, n_hidden * num_directions(=2)]。</span><br>        <span class="hljs-comment"># hidden 是通过上面的操作得到的 final_state 的改变维度后的表示，维度为 [batch_size, n_hidden * 2, 1]。</span><br>        <span class="hljs-comment"># torch.bmm(lstm_output, hidden) 进行矩阵相乘，实现对 lstm_output 和 hidden 进行注意力权重的计算。注意力权重表示LSTM输出中每个时间步对应的重要程度。</span><br>        <span class="hljs-comment"># squeeze(2) 将注意力权重张量的第三个维度（为1维）挤压掉，得到维度为 [batch_size, n_step] 的 attn_weights</span><br>        attn_weights = torch.bmm(lstm_output, hidden).squeeze(<span class="hljs-number">2</span>) <span class="hljs-comment"># attn_weights : [batch_size, n_step]</span><br><br>        <span class="hljs-comment"># F.softmax(attn_weights, 1) 对注意力权重 attn_weights 进行softmax操作，将注意力权重转换为概率分布，使得每个时间步的权重值在0到1之间且和为1</span><br>        soft_attn_weights = F.softmax(attn_weights, <span class="hljs-number">1</span>)<br><br><br>        <span class="hljs-comment"># [batch_size, n_hidden * num_directions(=2), n_step] * [batch_size, n_step, 1] = [batch_size, n_hidden * num_directions(=2), 1]</span><br>        <span class="hljs-comment"># lstm_output.transpose(1, 2) 对LSTM输出进行转置，维度从 [batch_size, n_step, n_hidden * num_directions] 变为 [batch_size, n_hidden * num_directions, n_step]。</span><br>        <span class="hljs-comment"># soft_attn_weights.unsqueeze(2) 将 soft_attn_weights 张量的维度从 [batch_size, n_step] 扩展为 [batch_size, n_step, 1]，以便进行矩阵相乘。</span><br>        <span class="hljs-comment"># torch.bmm(lstm_output.transpose(1, 2), soft_attn_weights.unsqueeze(2)) 实现LSTM输出和注意力权重的加权平均，得到上下文向量。</span><br>        <span class="hljs-comment"># squeeze(2) 将上下文向量张量的第三个维度（为1维）挤压掉，得到维度为 [batch_size, n_hidden * num_directions] 的 context</span><br>        context = torch.bmm(lstm_output.transpose(<span class="hljs-number">1</span>, <span class="hljs-number">2</span>), soft_attn_weights.unsqueeze(<span class="hljs-number">2</span>)).squeeze(<span class="hljs-number">2</span>)<br><br>        <span class="hljs-comment"># 返回上下文向量 context 和注意力权重 soft_attn_weights。</span><br>        <span class="hljs-comment"># context 是根据注意力权重加权平均得到的LSTM输出的上下文向量，用于表示输入序列的重要信息。</span><br>        <span class="hljs-comment"># soft_attn_weights.data.numpy() 将注意力权重 soft_attn_weights 转换为NumPy数组形式并返回，以便后续可视化注意力权重矩阵</span><br>        <span class="hljs-keyword">return</span> context, soft_attn_weights.data.numpy() <span class="hljs-comment"># context : [batch_size, n_hidden * num_directions(=2)]</span><br><br>    <span class="hljs-comment"># 前向传播函数</span><br>    <span class="hljs-comment"># X : 输入的文本序列，维度为 [batch_size, len_seq]</span><br>    <span class="hljs-keyword">def</span> <span class="hljs-title function_">forward</span>(<span class="hljs-params">self, X</span>):<br>        <span class="hljs-comment"># 首先将输入进行嵌入操作，然后交换维度以适应LSTM的输入格式</span><br>        <span class="hljs-comment"># 这里使用了 nn.Embedding 层，将输入的文本序列 X 中的每个词汇（对应的索引）映射为一个密集向量表示。</span><br>        <span class="hljs-comment"># input 变量维度为 [batch_size, len_seq, embedding_dim]</span><br>        <span class="hljs-comment"># 其中 batch_size 表示批次大小，len_seq 表示每个句子中的词汇数，embedding_dim 表示词向量的维度。</span><br>        <span class="hljs-built_in">input</span> = self.embedding(X)<br><br><br>        <span class="hljs-comment"># 交换维度以适应LSTM的输入格式</span><br>        <span class="hljs-comment"># LSTM模型的输入需要将序列长度维度放在第一位，因此这里使用 permute 方法交换了 input 的维度，使其变为 [len_seq, batch_size, embedding_dim]</span><br>        <span class="hljs-built_in">input</span> = <span class="hljs-built_in">input</span>.permute(<span class="hljs-number">1</span>, <span class="hljs-number">0</span>, <span class="hljs-number">2</span>)<br><br><br>        <span class="hljs-comment"># 初始化LSTM的隐藏状态和记忆单元状态为全零张量</span><br>        <span class="hljs-comment"># 这里创建了两个零张量 hidden_state 和 cell_state</span><br>        <span class="hljs-comment"># 用于存储LSTM的初始隐藏状态和记忆单元状态。</span><br>        <span class="hljs-comment"># 这里 1*2 表示LSTM的层数乘以双向LSTM的方向数（正向和反向）</span><br><br>        <span class="hljs-comment"># 维度为：[num_layers(=1) * num_directions(=2), batch_size, n_hidden]</span><br>        hidden_state = torch.zeros(<span class="hljs-number">1</span>*<span class="hljs-number">2</span>, <span class="hljs-built_in">len</span>(X), n_hidden)<br>        <span class="hljs-comment"># 维度为：[num_layers(=1) * num_directions(=2), batch_size, n_hidden]</span><br>        cell_state = torch.zeros(<span class="hljs-number">1</span>*<span class="hljs-number">2</span>, <span class="hljs-built_in">len</span>(X), n_hidden)<br><br>        <span class="hljs-comment"># final_hidden_state, final_cell_state : [num_layers(=1) * num_directions(=2), batch_size, n_hidden]</span><br>        <span class="hljs-comment"># 将嵌入后的序列输入LSTM，得到输出和最终的隐藏状态</span><br>        <span class="hljs-comment"># 这里调用了 nn.LSTM 层 self.lstm 来进行前向传播。</span><br>        <span class="hljs-comment"># output 是LSTM在所有时间步的输出，维度为 [len_seq, batch_size, n_hidden * num_directions(=2)]。</span><br>        <span class="hljs-comment"># final_hidden_state 和 final_cell_state 是LSTM的最终隐藏状态和记忆单元状态，维度均为 [num_layers(=1) * num_directions(=2), batch_size, n_hidden]</span><br>        output, (final_hidden_state, final_cell_state) = self.lstm(<span class="hljs-built_in">input</span>, (hidden_state, cell_state))<br><br><br>        <span class="hljs-comment"># 这里再次使用 permute 方法调整输出维度，使output恢复为 [batch_size, len_seq, n_hidden]</span><br>        output = output.permute(<span class="hljs-number">1</span>, <span class="hljs-number">0</span>, <span class="hljs-number">2</span>)<br><br><br>        <span class="hljs-comment"># 调用 attention_net 函数得到注意力加权的上下文向量。</span><br>        <span class="hljs-comment"># 将上下文向量输入输出层，得到最终的分类结果和注意力权重</span><br>        <span class="hljs-comment"># 这里调用了在 BiLSTM_Attention 类中定义的 attention_net 方法</span><br>        <span class="hljs-comment"># 该方法用于计算注意力权重并将其应用于LSTM输出 output，得到上下文向量 attn_output 和注意力权重矩阵 attention</span><br>        attn_output, attention = self.attention_net(output, final_hidden_state)<br><br>        <span class="hljs-comment"># 将上下文向量输入输出层，得到最终的分类结果和注意力权重</span><br>        <span class="hljs-comment"># 这里将上下文向量 attn_output 输入全连接输出层 self.out，得到最终的分类结果(model)，维度为 [batch_size, num_classes]。</span><br>        <span class="hljs-comment"># 返回注意力权重矩阵(attention)，维度为 [batch_size, n_step]。</span><br>        <span class="hljs-comment"># 注意力权重矩阵表示模型在分类时对文本序列中每个词的关注程度，可以用于可视化和分析模型的注意力行为</span><br>        <span class="hljs-keyword">return</span> self.out(attn_output), attention<br><br><span class="hljs-keyword">if</span> __name__ == <span class="hljs-string">&#x27;__main__&#x27;</span>:<br>    <span class="hljs-comment"># embedding_dim 是嵌入维度，用于表示文本中的每个词汇的密集向量表示。</span><br>    <span class="hljs-comment"># 在自然语言处理任务中，文本数据往往是由离散的词汇组成，而神经网络很难直接处理这种离散形式的数据。</span><br>    <span class="hljs-comment"># 因此，需要将文本中的词汇映射为连续的向量表示，以便神经网络能够处理。</span><br>    <span class="hljs-comment"># 嵌入层（nn.Embedding）就是用来完成这个映射过程的。</span><br>    <span class="hljs-comment"># 它接受一个词汇表的大小（vocab_size）和一个嵌入维度（embedding_dim）作为输入，</span><br>    <span class="hljs-comment"># 然后根据词汇表的大小创建一个随机初始化的嵌入矩阵，其中每个词汇对应一个向量，</span><br>    <span class="hljs-comment"># 向量的维度为 embedding_dim。模型在训练过程中，会根据文本数据对这些嵌入向量进行学习，使得相似的词汇在嵌入空间中距离更近，有更好的表示能力</span><br>    embedding_dim = <span class="hljs-number">2</span><br><br>    <span class="hljs-comment"># n_hidden 表示LSTM隐藏层中的隐藏单元数（也称为隐藏状态的维度）。</span><br>    <span class="hljs-comment"># 在双向LSTM模型中，LSTM层会有两个方向的隐藏状态，所以总的隐藏单元数会是 n_hidden * 2。</span><br>    <span class="hljs-comment"># 在LSTM中，隐藏状态（hidden state）用于存储过去时间步的信息，通过更新和传递隐藏状态，LSTM能够在处理时间序列数据时更好地捕捉长期依赖关系。</span><br>    <span class="hljs-comment"># n_hidden 的值会影响LSTM模型的表示能力和学习能力，过小的值可能会导致模型拟合不足，无法捕获数据的复杂模式，而过大的值可能会增加模型复杂性，使得训练过程变得困难。</span><br>    <span class="hljs-comment"># 通常，对于不同的任务和数据集，合适的 n_hidden 取值会有所差异。</span><br>    <span class="hljs-comment"># 选择合适的 n_hidden 取决于数据集的大小和复杂度，以及任务的复杂性。</span><br>    <span class="hljs-comment"># 常见的做法是通过尝试不同的 n_hidden 值，然后根据在验证集上的性能选择最优的值</span><br>    n_hidden = <span class="hljs-number">5</span><br><br>    <span class="hljs-comment"># num_classes 在这个代码中用于指定文本分类任务的类别数量。在该代码中，文本分类任务有两个类别，即&quot;好&quot;和&quot;不好&quot;，分别用 1 和 0 表示。</span><br>    <span class="hljs-comment"># 在模型的输出层，我们使用 self.out = nn.Linear(n_hidden * 2, num_classes) 这一行代码来定义输出层。</span><br>    <span class="hljs-comment"># 这个输出层是一个全连接层，将 LSTM 输出的特征（n_hidden * 2 维）转换成最终的分类结果（num_classes 维）。</span><br>    <span class="hljs-comment"># 对于本例中的二分类任务，num_classes 为 2，因为我们需要输出两个值（0或1）来表示分类结果。</span><br>    <span class="hljs-comment"># 这样，模型的输出维度就对应着两个类别的概率分布。</span><br><br>    <span class="hljs-comment"># 在训练阶段，模型输出的结果会通过 softmax 函数处理，得到对应类别的概率分布。</span><br>    <span class="hljs-comment"># 例如，如果模型输出 [0.7, 0.3]，则表示模型认为该文本属于&quot;好&quot;的概率为 0.7，属于&quot;不好&quot;的概率为 0.3。最终分类结果会根据概率值选择概率较大的类别，例如这里会选择&quot;好&quot;类别(0.7 &gt; 0.3)。</span><br>    <span class="hljs-comment"># 因此，num_classes 在代码中用于定义输出层的维度，确保模型能够输出正确的类别概率分布，并根据分类结果进行准确的文本分类</span><br>    num_classes = <span class="hljs-number">2</span><br><br>    <span class="hljs-comment"># 3词汇句子</span><br><span class="hljs-comment">#    sentences = [&quot;我 爱 你&quot;, &quot;他 爱 我&quot;, &quot;她 喜欢 篮球&quot;, &quot;她 喜欢 他&quot;, &quot;我 讨厌 你&quot;,&quot;他 讨厌 我&quot;, &quot;我 对不起 你&quot;]</span><br><span class="hljs-comment">#    labels = [1, 1, 1, 1, 0, 0, 0]  # 1 是 好, 0 是 不好. 构建词汇表，并为每个词汇赋予一个唯一的索引</span><br>    sentences = [<span class="hljs-string">&quot;我 爱 你&quot;</span>, <span class="hljs-string">&quot;他 爱 我&quot;</span>, <span class="hljs-string">&quot;她 喜欢 篮球&quot;</span>, <span class="hljs-string">&quot;她 喜欢 他&quot;</span>, <span class="hljs-string">&quot;我 讨厌 你&quot;</span>, <span class="hljs-string">&quot;他 讨厌 我&quot;</span>, <span class="hljs-string">&quot;我 对不起 你&quot;</span>,<br>                 <span class="hljs-string">&quot;我 很高兴&quot;</span>,<span class="hljs-string">&quot;他 很高兴&quot;</span>,<span class="hljs-string">&quot;你 很高兴&quot;</span>,<span class="hljs-string">&quot;我 不高兴&quot;</span>,<span class="hljs-string">&quot;他 不高兴&quot;</span>,<span class="hljs-string">&quot;她 不高兴&quot;</span>]<br>    labels = [<span class="hljs-number">1</span>, <span class="hljs-number">1</span>, <span class="hljs-number">1</span>, <span class="hljs-number">1</span>, <span class="hljs-number">0</span>, <span class="hljs-number">0</span>, <span class="hljs-number">0</span>, <span class="hljs-number">1</span>,<span class="hljs-number">1</span>,<span class="hljs-number">1</span>,<span class="hljs-number">0</span>,<span class="hljs-number">0</span>,<span class="hljs-number">0</span>]<br><br>    <span class="hljs-comment"># Define the maximum sequence length</span><br>    max_seq_length = <span class="hljs-number">6</span><br><br>    <span class="hljs-comment"># 为每个句子添加一个特殊的标记（例如&lt;PAD&gt;），使其与最长句子长度保持一致，以便构成一个批次的张量输入</span><br>    <span class="hljs-keyword">def</span> <span class="hljs-title function_">pad_sequence</span>(<span class="hljs-params">sentence, max_len</span>):<br>        words = sentence.split()<br>        <span class="hljs-keyword">if</span> <span class="hljs-built_in">len</span>(words) &lt; max_len:<br>            words.extend([<span class="hljs-string">&#x27;&lt;PAD&gt;&#x27;</span>] * (max_len - <span class="hljs-built_in">len</span>(words)))<br>        <span class="hljs-keyword">return</span> <span class="hljs-string">&quot; &quot;</span>.join(words[:max_len])<br><br>    <span class="hljs-comment"># 对所有句子进行填充</span><br>    sentences = [pad_sequence(sentence, max_seq_length) <span class="hljs-keyword">for</span> sentence <span class="hljs-keyword">in</span> sentences]<br><br>    <span class="hljs-comment"># 构建词汇表，并为每个词汇赋予一个唯一的索引</span><br>    <span class="hljs-comment"># 这段代码将所有的文本合并成一个字符串，然后按照空格分割成词汇列表。</span><br>    <span class="hljs-comment"># 使用set去重，确保每个词汇只出现一次，然后为每个词汇赋予一个唯一的索引。</span><br>    <span class="hljs-comment"># 构建出词汇表word_dict，其中键是词汇，值是对应的唯一索引，vocab_size表示词汇表的大小</span><br>    word_list = <span class="hljs-string">&quot; &quot;</span>.join(sentences).split()<br>    word_list = <span class="hljs-built_in">list</span>(<span class="hljs-built_in">set</span>(word_list))<br>    word_dict = &#123;w: i <span class="hljs-keyword">for</span> i, w <span class="hljs-keyword">in</span> <span class="hljs-built_in">enumerate</span>(word_list)&#125;<br>    vocab_size = <span class="hljs-built_in">len</span>(word_dict)<br><br>    <span class="hljs-comment"># 创建 BiLSTM_Attention 类的实例 model</span><br>    <span class="hljs-comment"># 创建了一个带有注意力机制的双向LSTM文本分类模型</span><br>    model = BiLSTM_Attention()<br><br>    <span class="hljs-comment"># 定义损失函数 criterion 为交叉熵损失，优化器 optimizer 为Adam优化器</span><br>    <span class="hljs-comment"># 交叉熵损失适用于多分类任务，而Adam优化器是一种常用的优化算法</span><br>    criterion = nn.CrossEntropyLoss()<br>    optimizer = optim.Adam(model.parameters(), lr=<span class="hljs-number">0.001</span>)<br><br>    <span class="hljs-comment"># 准备输入数据 inputs 和目标标签 targets</span><br>    <span class="hljs-comment"># 这段代码首先将每个句子转换为对应的索引序列，并将其转换为PyTorch的LongTensor类型，作为输入数据inputs。</span><br>    <span class="hljs-comment"># targets是标签序列，也转换为PyTorch的LongTensor类型。</span><br>    inputs = torch.LongTensor([np.asarray([word_dict[n] <span class="hljs-keyword">for</span> n <span class="hljs-keyword">in</span> sen.split()]) <span class="hljs-keyword">for</span> sen <span class="hljs-keyword">in</span> sentences])<br>    targets = torch.LongTensor([out <span class="hljs-keyword">for</span> out <span class="hljs-keyword">in</span> labels])  <span class="hljs-comment"># To using Torch Softmax Loss function</span><br><br>    <span class="hljs-comment"># 进行模型训练</span><br>    <span class="hljs-keyword">for</span> epoch <span class="hljs-keyword">in</span> <span class="hljs-built_in">range</span>(<span class="hljs-number">5000</span>):<br>        <span class="hljs-comment"># 在每一轮训练中，首先将优化器的梯度清零（optimizer.zero_grad()）</span><br>        optimizer.zero_grad()<br><br>        <span class="hljs-comment"># 然后将输入数据输入模型，得到模型的输出和注意力权重。</span><br>        output, attention = model(inputs)<br><br>        <span class="hljs-comment"># 计算交叉熵损失</span><br>        loss = criterion(output, targets)<br>        <span class="hljs-keyword">if</span> (epoch + <span class="hljs-number">1</span>) % <span class="hljs-number">1000</span> == <span class="hljs-number">0</span>:<br>            <span class="hljs-built_in">print</span>(<span class="hljs-string">&#x27;Epoch:&#x27;</span>, <span class="hljs-string">&#x27;%04d&#x27;</span> % (epoch + <span class="hljs-number">1</span>), <span class="hljs-string">&#x27;cost =&#x27;</span>, <span class="hljs-string">&#x27;&#123;:.6f&#125;&#x27;</span>.<span class="hljs-built_in">format</span>(loss))<br><br>        <span class="hljs-comment"># 进行反向传播</span><br>        loss.backward()<br><br>        <span class="hljs-comment"># 参数优化</span><br>        optimizer.step()<br><br>    <span class="hljs-comment"># Test</span><br>    <span class="hljs-comment"># 定义一个测试文本 test_text</span><br>    test_text = <span class="hljs-string">&#x27;她 不高兴&#x27;</span><br>    <span class="hljs-comment"># 并转换为张量</span><br>    tests = [np.asarray([word_dict[n] <span class="hljs-keyword">for</span> n <span class="hljs-keyword">in</span> test_text.split()])]<br>    <span class="hljs-comment"># print(tests)</span><br><br>    test_batch = torch.LongTensor(tests)<br><br>    <span class="hljs-comment"># 进行预测</span><br>    predict, _ = model(test_batch)<br>    predict = predict.data.<span class="hljs-built_in">max</span>(<span class="hljs-number">1</span>, keepdim=<span class="hljs-literal">True</span>)[<span class="hljs-number">1</span>]<br>    <span class="hljs-comment"># 根据预测结果，判断测试文本的意义是&quot;好&quot;还是&quot;不好&quot;</span><br>    <span class="hljs-keyword">if</span> predict[<span class="hljs-number">0</span>][<span class="hljs-number">0</span>] == <span class="hljs-number">0</span>:<br>        <span class="hljs-built_in">print</span>(test_text,<span class="hljs-string">&quot;is Bad Mean...&quot;</span>)<br>    <span class="hljs-keyword">else</span>:<br>        <span class="hljs-built_in">print</span>(test_text,<span class="hljs-string">&quot;is Good Mean!!&quot;</span>)<br><br><br>    <span class="hljs-comment"># 可视化注意力权重</span><br>    <span class="hljs-comment"># 这段代码使用Matplotlib绘制了注意力权重矩阵的热力图。</span><br>    <span class="hljs-comment"># 矩阵的横轴表示文本序列中的每个词汇（&quot;first_word&quot;, &quot;second_word&quot;, &quot;third_word&quot;）</span><br>    <span class="hljs-comment"># 纵轴表示输入数据的批次（&quot;batch_1&quot;, &quot;batch_2&quot;, &quot;batch_3&quot;, &quot;batch_4&quot;, &quot;batch_5&quot;, &quot;batch_6&quot;）。</span><br>    <span class="hljs-comment"># 不同颜色的方块表示不同位置的词汇在分类时所受到的注意力程度。</span><br>    <span class="hljs-comment"># 通过该热力图可以观察模型在分类时关注的重要词</span><br>    fig = plt.figure(figsize=(<span class="hljs-number">6</span>, <span class="hljs-number">3</span>)) <span class="hljs-comment"># [batch_size, n_step]</span><br>    ax = fig.add_subplot(<span class="hljs-number">1</span>, <span class="hljs-number">1</span>, <span class="hljs-number">1</span>)<br>    ax.matshow(attention, cmap=<span class="hljs-string">&#x27;viridis&#x27;</span>)<br>    ax.set_xticklabels([<span class="hljs-string">&#x27;&#x27;</span>]+[<span class="hljs-string">&#x27;first_word&#x27;</span>, <span class="hljs-string">&#x27;second_word&#x27;</span>, <span class="hljs-string">&#x27;third_word&#x27;</span>], fontdict=&#123;<span class="hljs-string">&#x27;fontsize&#x27;</span>: <span class="hljs-number">14</span>&#125;, rotation=<span class="hljs-number">90</span>)<br>    ax.set_yticklabels([<span class="hljs-string">&#x27;&#x27;</span>]+[<span class="hljs-string">&#x27;batch_1&#x27;</span>, <span class="hljs-string">&#x27;batch_2&#x27;</span>, <span class="hljs-string">&#x27;batch_3&#x27;</span>, <span class="hljs-string">&#x27;batch_4&#x27;</span>, <span class="hljs-string">&#x27;batch_5&#x27;</span>, <span class="hljs-string">&#x27;batch_6&#x27;</span>], fontdict=&#123;<span class="hljs-string">&#x27;fontsize&#x27;</span>: <span class="hljs-number">14</span>&#125;)<br>    plt.show()<br><br></code></pre></td></tr></table></figure></article><div class="post-copyright"><div class="post-copyright__author"><span class="post-copyright-meta">文章作者: </span><span class="post-copyright-info"><a href="https://luoy-oss.github.io">drluo</a></span></div><div class="post-copyright__type"><span class="post-copyright-meta">文章链接: </span><span class="post-copyright-info"><a href="https://luoy-oss.github.io/posts/633">https://luoy-oss.github.io/posts/633</a></span></div><div class="post-copyright__notice"><span class="post-copyright-meta">版权声明: </span><span class="post-copyright-info">本博客所有文章除特别声明外，均采用 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/" target="_blank">CC BY-NC-SA 4.0</a> 许可协议。转载请注明来自 <a href="https://luoy-oss.github.io" target="_blank">洛屿的小站</a>！</span></div></div><div class="tag_share"><div class="post-meta__tag-list"><a class="post-meta__tags" href="/tags/PyTorch/">PyTorch</a><a class="post-meta__tags" 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diff --git a/posts/7618.html b/posts/7618.html
index c9270be3..7b6fb835 100644
--- a/posts/7618.html
+++ b/posts/7618.html
@@ -323,7 +323,7 @@ <h2 id="什么是预处理？">什么是预处理？</h2>
 <p>可以留意程序执行后弹出的窗口，在出现错误时，程序的返回值是一个非0数。</p>
 <p>你也可以修改这里的返回值，留意弹出后的窗口所返回的值，可以发现与此处设置的值相同。（前提是你的程序没有错误）</p>
 </blockquote>
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class="toc-text">存储类型关键字</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E5%85%B6%E5%AE%83%E5%85%B3%E9%94%AE%E5%AD%97"><span class="toc-number">1.4.</span> <span class="toc-text">其它关键字</span></a></li></ol></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E4%BB%80%E4%B9%88%E6%98%AF%E9%A2%84%E5%A4%84%E7%90%86%EF%BC%9F"><span class="toc-number">2.</span> <span class="toc-text">什么是预处理？</span></a></li></ol></div></div></div></div></main><footer id="footer" style="background-image: url('/img/cover/%E4%B8%83%E4%B8%83.webp')"><div id="footer-wrap"><div class="copyright">&copy;2021 - 2024 By drluo</div><div class="framework-info"><span>框架 </span><a target="_blank" rel="noopener" href="https://hexo.io">Hexo</a><span class="footer-separator">|</span><span>主题 </span><a target="_blank" rel="noopener" href="https://github.com/jerryc127/hexo-theme-butterfly">Butterfly</a></div><div class="footer_custom_text">你好啊, 欢迎来到 <a target="_blank" rel="noopener" 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alt="cover"><div class="content is-center"><div class="date"><i class="far fa-calendar-alt fa-fw"></i> 2023-10-11 21时27分23秒</div><div class="title">C、C++数组，指针，指针数组，数组指针的区别</div></div></a></div><div><a href="/posts/1746" title="C、C++预处理详解"><img class="cover" src="/img/cover/%E4%B8%83%E4%B8%83.webp" alt="cover"><div class="content is-center"><div class="date"><i class="far fa-calendar-alt fa-fw"></i> 2023-10-10 20时42分17秒</div><div class="title">C、C++预处理详解</div></div></a></div></div></div><hr/><div id="post-comment"><div class="comment-head"><div class="comment-headline"><i class="fas fa-comments fa-fw"></i><span> 评论</span></div></div><div class="comment-wrap"><div><div id="twikoo-wrap"></div></div></div></div></div><div class="aside-content" id="aside-content"><div class="card-widget card-info"><div class="is-center"><div class="avatar-img"><img src="https://cravatar.cn/avatar/6fa57e21db3ba5961f18a8ae75d0a081" onerror="this.onerror=null;this.src='/img/err_img404.gif'" alt="avatar"/></div><div class="author-info__name">drluo</div><div class="author-info__description"></div></div><div class="card-info-data site-data is-center"><a href="/archives/"><div class="headline">文章</div><div class="length-num">57</div></a><a href="/tags/"><div class="headline">标签</div><div class="length-num">37</div></a><a href="/categories/"><div class="headline">分类</div><div class="length-num">16</div></a></div><a id="card-info-btn" target="_blank" rel="noopener" href="https://github.com/luoy-oss"><i class="fab fa-github"></i><span>送上星星</span></a><div class="card-info-social-icons is-center"><a class="social-icon" href="https://github.com/luoy-oss" target="_blank" title="Github"><i class="fab fa-github"></i></a><a class="social-icon" href="mailto:wang2557657882@gmail.com" target="_blank" title="Email"><i class="fas fa-envelope"></i></a></div></div><div class="sticky_layout"><div class="card-widget" id="card-toc"><div class="item-headline"><i class="fas fa-stream"></i><span>目录</span><span class="toc-percentage"></span></div><div class="toc-content is-expand"><ol class="toc"><li class="toc-item toc-level-2"><a class="toc-link" href="#%E4%BB%80%E4%B9%88%E6%98%AF%E5%85%B3%E9%94%AE%E5%AD%97%EF%BC%9F"><span class="toc-number">1.</span> <span class="toc-text">什么是关键字？</span></a><ol class="toc-child"><li class="toc-item toc-level-3"><a class="toc-link" href="#%E6%95%B0%E6%8D%AE%E7%B1%BB%E5%9E%8B%E5%85%B3%E9%94%AE%E5%AD%97"><span class="toc-number">1.1.</span> <span class="toc-text">数据类型关键字</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E6%8E%A7%E5%88%B6%E8%AF%AD%E5%8F%A5%E5%85%B3%E9%94%AE%E5%AD%97"><span class="toc-number">1.2.</span> <span class="toc-text">控制语句关键字</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E5%AD%98%E5%82%A8%E7%B1%BB%E5%9E%8B%E5%85%B3%E9%94%AE%E5%AD%97"><span class="toc-number">1.3.</span> <span class="toc-text">存储类型关键字</span></a></li><li class="toc-item toc-level-3"><a class="toc-link" href="#%E5%85%B6%E5%AE%83%E5%85%B3%E9%94%AE%E5%AD%97"><span class="toc-number">1.4.</span> <span class="toc-text">其它关键字</span></a></li></ol></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E4%BB%80%E4%B9%88%E6%98%AF%E9%A2%84%E5%A4%84%E7%90%86%EF%BC%9F"><span class="toc-number">2.</span> <span class="toc-text">什么是预处理？</span></a></li></ol></div></div></div></div></main><footer id="footer" style="background-image: url('/img/cover/%E4%B8%83%E4%B8%83.webp')"><div id="footer-wrap"><div class="copyright">&copy;2021 - 2024 By drluo</div><div class="framework-info"><span>框架 </span><a target="_blank" rel="noopener" href="https://hexo.io">Hexo</a><span class="footer-separator">|</span><span>主题 </span><a target="_blank" rel="noopener" href="https://github.com/jerryc127/hexo-theme-butterfly">Butterfly</a></div><div class="footer_custom_text">你好啊, 欢迎来到 <a target="_blank" rel="noopener" href="https://www.drluo.top/">洛屿的小站</a>!</div></div></footer></div><div id="rightside"><div id="rightside-config-hide"><button id="readmode" type="button" title="阅读模式"><i class="fas fa-book-open"></i></button><button id="translateLink" type="button" title="简繁转换">繁</button><button id="darkmode" type="button" title="要试着换一下颜色模式吗？"><i class="fas fa-adjust"></i></button><button id="hide-aside-btn" type="button" title="我会变胖变瘦哦！"><i class="fas fa-arrows-alt-h"></i></button></div><div id="rightside-config-show"><button id="rightside_config" type="button" title="设置"><i class="fas fa-cog fa-spin"></i></button><button class="close" id="mobile-toc-button" type="button" title="目录"><i class="fas fa-list-ul"></i></button><a id="to_comment" href="#post-comment" title="直达评论"><i class="fas fa-comments"></i></a><button id="go-up" type="button" title="回到顶部"><span class="scroll-percent"></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src="/js/utils.js"></script><script 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diff --git a/search.xml b/search.xml
index 7908932e..480442d1 100644
--- a/search.xml
+++ b/search.xml
@@ -187,33 +187,6 @@
         <tag>STL</tag>
       </tags>
   </entry>
-  <entry>
-    <title>CSP-S 2021游记</title>
-    <url>/posts/8713.html</url>
-    <content><![CDATA[<hr>
-<blockquote>
-<p><strong>结构体指针三目乱飞，球体体积交怼脸，手算 base64，现学四毛子算法，欢迎来到 CSP2021-S1。</strong></p>
-</blockquote>
-<p>身为蒟蒻的咱，心态平和🤔走的很安详</p>
-<blockquote>
-<p><strong>这里，我想用一下<a href="https://www.luogu.com.cn/user/486119">Naptie</a>大佬的概括</strong></p>
-<p><strong>《平凡的单选题》</strong><br>
-<strong>《acos(0.5)》</strong><br>
-<strong>《d1, d2表示半径》</strong><br>
-<strong>《两球体积交》</strong><br>
-<strong>《含四个整型的结构体重载加号》</strong><br>
-<strong>《int(char(0f))》</strong><br>
-<strong>《Cg==》</strong><br>
-<strong>《手算Base64编解码》</strong><br>
-<strong>《121行代码》</strong><br>
-<strong>《四毛子算法课》</strong><br>
-<strong>《结构体与指针的复杂应用》</strong></p>
-</blockquote>
-]]></content>
-      <categories>
-        <category>杂谈</category>
-      </categories>
-  </entry>
   <entry>
     <title>C++ 格式化输出（前置补0，有效位数，保留小数）</title>
     <url>/posts/26837.html</url>
@@ -338,6 +311,33 @@
         <category>C/C++</category>
       </categories>
   </entry>
+  <entry>
+    <title>CSP-S 2021游记</title>
+    <url>/posts/8713.html</url>
+    <content><![CDATA[<hr>
+<blockquote>
+<p><strong>结构体指针三目乱飞，球体体积交怼脸，手算 base64，现学四毛子算法，欢迎来到 CSP2021-S1。</strong></p>
+</blockquote>
+<p>身为蒟蒻的咱，心态平和🤔走的很安详</p>
+<blockquote>
+<p><strong>这里，我想用一下<a href="https://www.luogu.com.cn/user/486119">Naptie</a>大佬的概括</strong></p>
+<p><strong>《平凡的单选题》</strong><br>
+<strong>《acos(0.5)》</strong><br>
+<strong>《d1, d2表示半径》</strong><br>
+<strong>《两球体积交》</strong><br>
+<strong>《含四个整型的结构体重载加号》</strong><br>
+<strong>《int(char(0f))》</strong><br>
+<strong>《Cg==》</strong><br>
+<strong>《手算Base64编解码》</strong><br>
+<strong>《121行代码》</strong><br>
+<strong>《四毛子算法课》</strong><br>
+<strong>《结构体与指针的复杂应用》</strong></p>
+</blockquote>
+]]></content>
+      <categories>
+        <category>杂谈</category>
+      </categories>
+  </entry>
   <entry>
     <title>CH32(F10X F20X)</title>
     <url>/posts/57388.html</url>
@@ -363,65 +363,6 @@ CS(NSS) 片选管脚</p>
         <category>CH32</category>
       </categories>
   </entry>
-  <entry>
-    <title>C、C++其他关键字详解</title>
-    <url>/posts/28732.html</url>
-    <content><![CDATA[<h1>其它关键字</h1>
-<h2 id="const">const</h2>
-<ul>
-<li><strong>作用</strong>：<code>const</code> 用于声明常量，表示变量的值不可被修改。</li>
-<li><strong>示例</strong>：</li>
-</ul>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">const</span> <span class="hljs-type">int</span> age = <span class="hljs-number">30</span>; <span class="hljs-comment">// 定义一个不可修改的整数常量</span><br>age = <span class="hljs-number">35</span>; <span class="hljs-comment">// 这里会导致编译错误，因为常量不可被修改</span><br></code></pre></td></tr></table></figure>
-<h2 id="sizeof">sizeof</h2>
-<ul>
-<li><strong>作用</strong>：<code>sizeof</code> 用于获取数据类型或变量占用的内存字节数。</li>
-<li><strong>示例</strong>：</li>
-</ul>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">int</span> x = <span class="hljs-number">10</span>;<br><span class="hljs-type">size_t</span> size = <span class="hljs-keyword">sizeof</span>(x); <span class="hljs-comment">// 获取整数变量 x 占用的字节数</span><br><span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;x 占用的字节数为: %zu\n&quot;</span>, size);<br></code></pre></td></tr></table></figure>
-<h2 id="typedef">typedef</h2>
-<ul>
-<li><strong>作用</strong>：<code>typedef</code> 用于创建自定义数据类型的别名。</li>
-<li><strong>示例</strong>：</li>
-</ul>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">typedef</span> <span class="hljs-type">int</span> Age; <span class="hljs-comment">// 创建一个名为 Age 的整数别名</span><br>Age myAge = <span class="hljs-number">25</span>; <span class="hljs-comment">// 使用 Age 别名定义整数变量</span><br></code></pre></td></tr></table></figure>
-<ul>
-<li><strong>另一个示例：</strong></li>
-</ul>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">typedef</span> <span class="hljs-class"><span class="hljs-keyword">struct</span> &#123;</span><br><span class="hljs-type">int</span> x;<br><span class="hljs-type">int</span> y;<br>&#125; Point;<br><br>Point p;<br>p.x = <span class="hljs-number">5</span>;<br><span class="hljs-comment">// 使用自定义的数据类型别名 Point 来声明变量</span><br></code></pre></td></tr></table></figure>
-<h2 id="volatile">volatile</h2>
-<ul>
-<li><strong>作用</strong>：<code>volatile</code> 用于告诉编译器该变量的值可能在编译器控制之外的情况下发生变化（<strong>被修改</strong>），因此不应进行优化。</li>
-<li><strong>示例</strong>：</li>
-</ul>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">volatile</span> <span class="hljs-type">int</span> sensorValue; <span class="hljs-comment">// 定义一个用于传感器值的变量</span><br><span class="hljs-keyword">while</span> (<span class="hljs-number">1</span>) &#123;<br>    <span class="hljs-type">int</span> reading = sensorValue; <span class="hljs-comment">// 读取传感器值</span><br>    <span class="hljs-comment">// 这里编译器不会对 reading 进行优化，以确保每次都读取最新值</span><br>&#125;<br></code></pre></td></tr></table></figure>
-<h3 id="何为“不应进行优化？”">何为“不应进行优化？”</h3>
-<p>具体来说，<strong>不进行优化</strong>意味着编译器不会对这些变量的读取和写入操作进行任何形式的优化，以确保它们在程序中的每次引用都<strong>反映其实际状态</strong>，而不会被优化掉或重排序。</p>
-<p>通常情况下，<code>volatile</code> 用于描述那些<strong>可能被外部因素更改</strong>的变量，如<strong>硬件寄存器</strong>或<strong>多线程程序</strong>中的<strong>共享变量</strong>。</p>
-<p>这些变量可能在<strong>程序之外</strong>的上下文中被更改，例如硬件设备可能会更新某个寄存器的值，或者在多线程环境中，一个线程可能会更改另一个线程正在访问的共享变量。</p>
-<p>因此，编译器不能对这些变量的操作进行优化，以确保程序的行为是可预测的。</p>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">volatile</span> <span class="hljs-type">int</span> sensorValue; <span class="hljs-comment">// 定义一个用于传感器值的 volatile 变量</span><br><br><span class="hljs-keyword">while</span> (<span class="hljs-number">1</span>) &#123;<br>    <span class="hljs-type">int</span> reading = sensorValue; <span class="hljs-comment">// 读取传感器值</span><br>    <span class="hljs-comment">// 编译器不会优化这里的 reading，以确保每次都读取最新的传感器值</span><br>    <span class="hljs-comment">// 这是因为 sensorValue 可能在程序之外的上下文中被更改</span><br>&#125;<br></code></pre></td></tr></table></figure>
-<p>如果不将 <code>sensorValue</code>变量声明为 <code>volatile</code>，编译器可能会认为 <code>reading</code> 的值在循环中不会改变，从而进行优化，导致不正确的行为。</p>
-<p>总之，<code>volatile</code> 关键字用于告诉编译器不要对其修饰的变量进行任何优化，以确保这些变量的值在程序中的每次引用都是最新的。</p>
-<h2 id="goto">goto</h2>
-<ul>
-<li><strong>作用</strong>：<code>goto</code> 用于实现无条件跳转到程序中的标签位置，但通常不推荐使用（goto语句的随性跳转会极大的降低代码可读性，对维护不利，且可能造成逻辑混乱）。</li>
-<li><strong>示例</strong>：</li>
-</ul>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= <span class="hljs-number">10</span>; i++) &#123;<br>    <span class="hljs-keyword">if</span> (i == <span class="hljs-number">5</span>) &#123;<br>        <span class="hljs-keyword">goto</span> jump_here; <span class="hljs-comment">// 无条件跳转到标签位置</span><br>    &#125;<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d\n&quot;</span>, i);<br>&#125;<br><br>jump_here: <span class="hljs-comment">// 标签位置</span><br><span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;Jumped here!\n&quot;</span>);<br></code></pre></td></tr></table></figure>
-<h1>总结</h1>
-<p><strong>一般来说，应该尽量避免使用 <code>goto</code>，因为它可以导致代码难以理解和维护</strong>。</p>
-<p><strong>初学者通常不需要使用 <code>volatile</code>，而应当谨慎使用 <code>typedef</code></strong></p>
-<p>const<code>和</code>sizeof` 是C语言中非常常见和有用的关键字</p>
-]]></content>
-      <categories>
-        <category>C/C++</category>
-      </categories>
-      <tags>
-        <tag>C语言</tag>
-        <tag>C++</tag>
-      </tags>
-  </entry>
   <entry>
     <title>C、C++关键字</title>
     <url>/posts/7618.html</url>
@@ -560,6 +501,65 @@ CS(NSS) 片选管脚</p>
 <p>可以留意程序执行后弹出的窗口，在出现错误时，程序的返回值是一个非0数。</p>
 <p>你也可以修改这里的返回值，留意弹出后的窗口所返回的值，可以发现与此处设置的值相同。（前提是你的程序没有错误）</p>
 </blockquote>
+]]></content>
+      <categories>
+        <category>C/C++</category>
+      </categories>
+      <tags>
+        <tag>C语言</tag>
+        <tag>C++</tag>
+      </tags>
+  </entry>
+  <entry>
+    <title>C、C++其他关键字详解</title>
+    <url>/posts/28732.html</url>
+    <content><![CDATA[<h1>其它关键字</h1>
+<h2 id="const">const</h2>
+<ul>
+<li><strong>作用</strong>：<code>const</code> 用于声明常量，表示变量的值不可被修改。</li>
+<li><strong>示例</strong>：</li>
+</ul>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">const</span> <span class="hljs-type">int</span> age = <span class="hljs-number">30</span>; <span class="hljs-comment">// 定义一个不可修改的整数常量</span><br>age = <span class="hljs-number">35</span>; <span class="hljs-comment">// 这里会导致编译错误，因为常量不可被修改</span><br></code></pre></td></tr></table></figure>
+<h2 id="sizeof">sizeof</h2>
+<ul>
+<li><strong>作用</strong>：<code>sizeof</code> 用于获取数据类型或变量占用的内存字节数。</li>
+<li><strong>示例</strong>：</li>
+</ul>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">int</span> x = <span class="hljs-number">10</span>;<br><span class="hljs-type">size_t</span> size = <span class="hljs-keyword">sizeof</span>(x); <span class="hljs-comment">// 获取整数变量 x 占用的字节数</span><br><span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;x 占用的字节数为: %zu\n&quot;</span>, size);<br></code></pre></td></tr></table></figure>
+<h2 id="typedef">typedef</h2>
+<ul>
+<li><strong>作用</strong>：<code>typedef</code> 用于创建自定义数据类型的别名。</li>
+<li><strong>示例</strong>：</li>
+</ul>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">typedef</span> <span class="hljs-type">int</span> Age; <span class="hljs-comment">// 创建一个名为 Age 的整数别名</span><br>Age myAge = <span class="hljs-number">25</span>; <span class="hljs-comment">// 使用 Age 别名定义整数变量</span><br></code></pre></td></tr></table></figure>
+<ul>
+<li><strong>另一个示例：</strong></li>
+</ul>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">typedef</span> <span class="hljs-class"><span class="hljs-keyword">struct</span> &#123;</span><br><span class="hljs-type">int</span> x;<br><span class="hljs-type">int</span> y;<br>&#125; Point;<br><br>Point p;<br>p.x = <span class="hljs-number">5</span>;<br><span class="hljs-comment">// 使用自定义的数据类型别名 Point 来声明变量</span><br></code></pre></td></tr></table></figure>
+<h2 id="volatile">volatile</h2>
+<ul>
+<li><strong>作用</strong>：<code>volatile</code> 用于告诉编译器该变量的值可能在编译器控制之外的情况下发生变化（<strong>被修改</strong>），因此不应进行优化。</li>
+<li><strong>示例</strong>：</li>
+</ul>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">volatile</span> <span class="hljs-type">int</span> sensorValue; <span class="hljs-comment">// 定义一个用于传感器值的变量</span><br><span class="hljs-keyword">while</span> (<span class="hljs-number">1</span>) &#123;<br>    <span class="hljs-type">int</span> reading = sensorValue; <span class="hljs-comment">// 读取传感器值</span><br>    <span class="hljs-comment">// 这里编译器不会对 reading 进行优化，以确保每次都读取最新值</span><br>&#125;<br></code></pre></td></tr></table></figure>
+<h3 id="何为“不应进行优化？”">何为“不应进行优化？”</h3>
+<p>具体来说，<strong>不进行优化</strong>意味着编译器不会对这些变量的读取和写入操作进行任何形式的优化，以确保它们在程序中的每次引用都<strong>反映其实际状态</strong>，而不会被优化掉或重排序。</p>
+<p>通常情况下，<code>volatile</code> 用于描述那些<strong>可能被外部因素更改</strong>的变量，如<strong>硬件寄存器</strong>或<strong>多线程程序</strong>中的<strong>共享变量</strong>。</p>
+<p>这些变量可能在<strong>程序之外</strong>的上下文中被更改，例如硬件设备可能会更新某个寄存器的值，或者在多线程环境中，一个线程可能会更改另一个线程正在访问的共享变量。</p>
+<p>因此，编译器不能对这些变量的操作进行优化，以确保程序的行为是可预测的。</p>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">volatile</span> <span class="hljs-type">int</span> sensorValue; <span class="hljs-comment">// 定义一个用于传感器值的 volatile 变量</span><br><br><span class="hljs-keyword">while</span> (<span class="hljs-number">1</span>) &#123;<br>    <span class="hljs-type">int</span> reading = sensorValue; <span class="hljs-comment">// 读取传感器值</span><br>    <span class="hljs-comment">// 编译器不会优化这里的 reading，以确保每次都读取最新的传感器值</span><br>    <span class="hljs-comment">// 这是因为 sensorValue 可能在程序之外的上下文中被更改</span><br>&#125;<br></code></pre></td></tr></table></figure>
+<p>如果不将 <code>sensorValue</code>变量声明为 <code>volatile</code>，编译器可能会认为 <code>reading</code> 的值在循环中不会改变，从而进行优化，导致不正确的行为。</p>
+<p>总之，<code>volatile</code> 关键字用于告诉编译器不要对其修饰的变量进行任何优化，以确保这些变量的值在程序中的每次引用都是最新的。</p>
+<h2 id="goto">goto</h2>
+<ul>
+<li><strong>作用</strong>：<code>goto</code> 用于实现无条件跳转到程序中的标签位置，但通常不推荐使用（goto语句的随性跳转会极大的降低代码可读性，对维护不利，且可能造成逻辑混乱）。</li>
+<li><strong>示例</strong>：</li>
+</ul>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= <span class="hljs-number">10</span>; i++) &#123;<br>    <span class="hljs-keyword">if</span> (i == <span class="hljs-number">5</span>) &#123;<br>        <span class="hljs-keyword">goto</span> jump_here; <span class="hljs-comment">// 无条件跳转到标签位置</span><br>    &#125;<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d\n&quot;</span>, i);<br>&#125;<br><br>jump_here: <span class="hljs-comment">// 标签位置</span><br><span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;Jumped here!\n&quot;</span>);<br></code></pre></td></tr></table></figure>
+<h1>总结</h1>
+<p><strong>一般来说，应该尽量避免使用 <code>goto</code>，因为它可以导致代码难以理解和维护</strong>。</p>
+<p><strong>初学者通常不需要使用 <code>volatile</code>，而应当谨慎使用 <code>typedef</code></strong></p>
+<p>const<code>和</code>sizeof` 是C语言中非常常见和有用的关键字</p>
 ]]></content>
       <categories>
         <category>C/C++</category>
@@ -623,171 +623,67 @@ CS(NSS) 片选管脚</p>
       </tags>
   </entry>
   <entry>
-    <title>C、C++数据类型关键字详解</title>
-    <url>/posts/48531.html</url>
-    <content><![CDATA[<h1>数据类型关键字</h1>
-<p>以下是对每个C语言数据类型关键字的详细解释，包括其包括特性、用法以及可能的范围和精度限制。</p>
-<h3 id="char">char</h3>
+    <title>C、C++控制语句关键字详解</title>
+    <url>/posts/23650.html</url>
+    <content><![CDATA[<h1>控制语句关键字</h1>
+<p>下面是关于循环语句和条件语句的详细解释，包括特性、用法以及示例代码。我将注释来解释每个示例的执行流程，以及这些语句通常在哪些方面使用。</p>
+<h2 id="循环语句：">循环语句：</h2>
+<h4 id="for">for</h4>
 <ul>
-<li>特性：<code>char</code>（字符型）用于存储单个字符，通常占用1个字节的内存空间。它可以表示ASCII字符集中的字符。范围通常为-128到127。</li>
-<li>用法：通常用于存储字符或小整数值。</li>
-<li>示例代码：<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">char</span> letter = <span class="hljs-string">&#x27;A&#x27;</span>; <span class="hljs-comment">// 定义一个字符变量并赋值</span><br></code></pre></td></tr></table></figure>
+<li>
+<p>特性：<code>for</code> 循环用于重复执行一段代码，通常在已知循环次数的情况下使用。</p>
 </li>
-</ul>
-<h3 id="short">short</h3>
-<ul>
-<li>特性：<code>short</code>（短整型）用于存储整数值，通常占用2个字节的内存空间。范围通常为-32768到32767。</li>
-<li>用法：适用于节省内存空间但需要存储整数的情况。</li>
-<li>示例代码：<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">short</span> temperature = <span class="hljs-number">-10</span>; <span class="hljs-comment">// 定义一个短整数变量并赋值</span><br></code></pre></td></tr></table></figure>
+<li>
+<p>用法示例：</p>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; <span class="hljs-number">5</span>; i++) &#123; <span class="hljs-comment">// 初始化；条件；迭代</span><br>    <span class="hljs-comment">// 循环体代码</span><br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d\n&quot;</span>, i); <span class="hljs-comment">// 打印当前循环次数</span><br>&#125;<br></code></pre></td></tr></table></figure>
+<p>示例中的<code>for</code>循环会执行5次。</p>
+<p>最终打印出0到4这五个数字：</p>
+<blockquote>
+<p>0</p>
+<p>1</p>
+<p>2</p>
+<p>3</p>
+<p>4</p>
+<blockquote></blockquote>
+</blockquote>
+<p>for常用于在一个范围内进行循环。</p>
 </li>
 </ul>
-<h3 id="int">int</h3>
+<h4 id="while">while</h4>
 <ul>
 <li>
-<p>特性：<code>int</code>（整型）用于存储整数值，通常占用4个字节的内存空间。这是最常用的整数类型。范围通常为-2147483648到2147483647。</p>
-</li>
-<li>
-<p>用法：通常用于存储整数，执行基本数学运算等。</p>
+<p>特性：<code>while</code> 循环用于根据条件重复执行一段代码，通常在循环次数不确定的情况下使用。</p>
 </li>
 <li>
-<p>示例代码：</p>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">int</span> count = <span class="hljs-number">100</span>; <span class="hljs-comment">// 定义一个整数变量并赋值</span><br></code></pre></td></tr></table></figure>
-<p>int类型在计算过程中，会仅保留整数位，比如：</p>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">int</span> a = <span class="hljs-number">3</span>;<br>a = a/<span class="hljs-number">2</span>;<br><span class="hljs-comment">//经过a/2计算后，3/2=1.5,实际上a被赋予的值是1</span><br></code></pre></td></tr></table></figure>
+<p>用法示例：</p>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">int</span> i = <span class="hljs-number">0</span>;<br><span class="hljs-keyword">while</span> (i &lt; <span class="hljs-number">5</span>) &#123; <span class="hljs-comment">// 条件</span><br>    <span class="hljs-comment">// 循环体代码</span><br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d\n&quot;</span>, i); <span class="hljs-comment">// 打印当前循环次数</span><br>    i++; <span class="hljs-comment">// 迭代</span><br>&#125;<br></code></pre></td></tr></table></figure>
+<p>示例中的<code>while</code>循环会执行直到<code>i</code>不再小于5为止。</p>
+<p>这个示例也会打印出0到4这五个数字。</p>
+<p>while常用于需要不确定次数的循环。</p>
 </li>
 </ul>
-<h3 id="float">float</h3>
+<h4 id="do…while">do…while</h4>
 <ul>
-<li>特性：<code>float</code>（单精度浮点型）用于存储浮点数，通常占用4个字节的内存空间。它具有单精度（约6-7位有效数字）。</li>
-<li>用法：用于存储小数或具有小数部分的数值。</li>
-<li>示例代码：<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">float</span> pi = <span class="hljs-number">3.14</span>; <span class="hljs-comment">// 定义一个单精度浮点数变量并赋值为 3.14</span><br></code></pre></td></tr></table></figure>
+<li>
+<p>特性：<code>do...while</code> 循环与<code>while</code>循环类似，不同之处在于它先执行一次循环体，然后再检查条件。</p>
 </li>
-</ul>
-<h3 id="double">double</h3>
-<ul>
-<li>特性：<code>double</code>（双精度浮点型）用于存储双精度浮点数，通常占用8个字节的内存空间。它具有更高的精度（约15-16位有效数字）。</li>
-<li>用法：用于存储需要高精度的浮点数。</li>
-<li>示例代码：<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">double</span> salary = <span class="hljs-number">2.71828</span>; <span class="hljs-comment">// 定义一个双精度浮点数变量并赋值为 2.71828</span><br></code></pre></td></tr></table></figure>
+<li>
+<p>用法示例：</p>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">int</span> i = <span class="hljs-number">0</span>;<br><span class="hljs-keyword">do</span> &#123;<br>    <span class="hljs-comment">// 循环体代码</span><br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d\n&quot;</span>, i); <span class="hljs-comment">// 打印当前循环次数</span><br>    i++; <span class="hljs-comment">// 迭代</span><br>&#125; <span class="hljs-keyword">while</span> (i &lt; <span class="hljs-number">5</span>); <span class="hljs-comment">// 条件</span><br></code></pre></td></tr></table></figure>
+<p>示例中的<code>do...while</code>循环至少会执行一次循环体，然后重复执行，直到条件不再满足。</p>
+<p>这个示例也会打印出0到4这五个数字，但至少会执行一次循环体。</p>
 </li>
 </ul>
-<h3 id="long">long</h3>
+<h4 id="break">break</h4>
 <ul>
-<li>特性：<code>long</code>（长整型）用于存储长整数，通常占用4个或8个字节的内存空间，具体大小取决于编译器和平台。通常用1long long`去声明一个长整数。</li>
-<li>用法：用于存储大整数值。</li>
-<li>示例代码：<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">long</span> <span class="hljs-type">long</span> population = <span class="hljs-number">8000000L</span>; <span class="hljs-comment">// 定义一个长整数变量并赋值，L表示值为长整数</span><br></code></pre></td></tr></table></figure>
-</li>
-</ul>
-<h3 id="signed-和-unsigned">signed 和 unsigned</h3>
-<ul>
-<li>特性：这两个关键字用于指定整数的符号性质。<code>signed</code>用于表示有符号整数，可以表示正数、负数和零；<code>unsigned</code>用于表示无符号整数，只能表示非负整数。</li>
-<li>用法：根据需求选择合适的符号性质。</li>
-<li>示例代码：<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">signed</span> <span class="hljs-type">int</span> temperature = <span class="hljs-number">-5</span>; <span class="hljs-comment">// 有符号整数</span><br><span class="hljs-type">unsigned</span> <span class="hljs-type">int</span> score = <span class="hljs-number">95</span>; <span class="hljs-comment">// 无符号整数</span><br></code></pre></td></tr></table></figure>
-</li>
-</ul>
-<h3 id="struct">struct</h3>
-<ul>
-<li>特性：<code>struct</code>（结构体）用于定义自定义的数据类型，可以包含多个不同类型的成员变量。</li>
-<li>用法：用于组织和存储多个相关数据项。</li>
-<li>示例代码：<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-class"><span class="hljs-keyword">struct</span> <span class="hljs-title">Point</span> &#123;</span><br>    <span class="hljs-type">int</span> x;<br>    <span class="hljs-type">int</span> y;<br>&#125;;<br><span class="hljs-class"><span class="hljs-keyword">struct</span> <span class="hljs-title">Point</span> <span class="hljs-title">p1</span> =</span> &#123;<span class="hljs-number">2</span>, <span class="hljs-number">3</span>&#125;; <span class="hljs-comment">// 定义一个结构体变量</span><br></code></pre></td></tr></table></figure>
-</li>
-</ul>
-<h3 id="enum">enum</h3>
-<ul>
-<li>特性：<code>enum</code>（枚举类型）用于创建一个有限集合的命名整数常量。</li>
-<li>用法：用于提高代码可读性，将整数值与有意义的标识符关联起来。</li>
-<li>示例代码：<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-class"><span class="hljs-keyword">enum</span> <span class="hljs-title">Days</span> &#123;</span> Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday &#125;;<br><span class="hljs-class"><span class="hljs-keyword">enum</span> <span class="hljs-title">Days</span> <span class="hljs-title">today</span> =</span> Tuesday; <span class="hljs-comment">// 使用枚举值</span><br></code></pre></td></tr></table></figure>
-</li>
-</ul>
-<h3 id="union">union</h3>
-<pre><code>- 特性：`union`（联合体）用于在相同的内存位置存储不同类型的数据，但只能同时存储其中一个成员。
-    - 用法：用于节省内存空间，但需要同时存储不同类型的数据。
-    - 示例代码：
-  <figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-class"><span class="hljs-keyword">union</span> <span class="hljs-title">Data</span> &#123;</span><br>    <span class="hljs-type">int</span> i;<br>    <span class="hljs-type">float</span> f;<br>&#125;;<br><span class="hljs-class"><span class="hljs-keyword">union</span> <span class="hljs-title">Data</span> <span class="hljs-title">value</span>;</span><br>value.i = <span class="hljs-number">42</span>; <span class="hljs-comment">// 存储整数</span><br></code></pre></td></tr></table></figure>
-</code></pre>
-<h3 id="void">void</h3>
-<pre><code>- 特性：`void`用于表示没有特定数据类型的值，通常用于函数的返回类型和指针类型。
-    - 用法：
-  - 函数返回类型：用于表示函数不返回任何值。
-  - 指针类型：用于创建通用指针（`void*`），可以指向任何类型的数据。
-    
-    - 示例代码：
-    
-      <figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">void</span> <span class="hljs-title function_">printMessage</span><span class="hljs-params">()</span> &#123;<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;Hello, World!\n&quot;</span>);<br>&#125;<br><span class="hljs-type">void</span>* ptr; <span class="hljs-comment">// 定义一个通用指针</span><br><span class="hljs-type">int</span> x = <span class="hljs-number">10</span>;<br>ptr = &amp;x; <span class="hljs-comment">// 将通用指针指向一个整数</span><br></code></pre></td></tr></table></figure>
-</code></pre>
-<p>每种数据类型都有其自身的特性和适用场景。范围和精度限制取决于具体的数据类型和编译器/平台的实现。</p>
-<p>例如，整数类型的范围受到位数的限制，浮点数类型的精度受到<a href="https://zhuanlan.zhihu.com/p/480834719">IEEE 754标准</a>的限制。</p>
-<p>在程序编写过程中，使用合适的数据类型可以提高程序的性能和可维护性。</p>
-]]></content>
-      <categories>
-        <category>C/C++</category>
-      </categories>
-      <tags>
-        <tag>C语言</tag>
-        <tag>C++</tag>
-      </tags>
-  </entry>
-  <entry>
-    <title>C、C++控制语句关键字详解</title>
-    <url>/posts/23650.html</url>
-    <content><![CDATA[<h1>控制语句关键字</h1>
-<p>下面是关于循环语句和条件语句的详细解释，包括特性、用法以及示例代码。我将注释来解释每个示例的执行流程，以及这些语句通常在哪些方面使用。</p>
-<h2 id="循环语句：">循环语句：</h2>
-<h4 id="for">for</h4>
-<ul>
-<li>
-<p>特性：<code>for</code> 循环用于重复执行一段代码，通常在已知循环次数的情况下使用。</p>
-</li>
-<li>
-<p>用法示例：</p>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; <span class="hljs-number">5</span>; i++) &#123; <span class="hljs-comment">// 初始化；条件；迭代</span><br>    <span class="hljs-comment">// 循环体代码</span><br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d\n&quot;</span>, i); <span class="hljs-comment">// 打印当前循环次数</span><br>&#125;<br></code></pre></td></tr></table></figure>
-<p>示例中的<code>for</code>循环会执行5次。</p>
-<p>最终打印出0到4这五个数字：</p>
-<blockquote>
-<p>0</p>
-<p>1</p>
-<p>2</p>
-<p>3</p>
-<p>4</p>
-<blockquote></blockquote>
-</blockquote>
-<p>for常用于在一个范围内进行循环。</p>
-</li>
-</ul>
-<h4 id="while">while</h4>
-<ul>
-<li>
-<p>特性：<code>while</code> 循环用于根据条件重复执行一段代码，通常在循环次数不确定的情况下使用。</p>
-</li>
-<li>
-<p>用法示例：</p>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">int</span> i = <span class="hljs-number">0</span>;<br><span class="hljs-keyword">while</span> (i &lt; <span class="hljs-number">5</span>) &#123; <span class="hljs-comment">// 条件</span><br>    <span class="hljs-comment">// 循环体代码</span><br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d\n&quot;</span>, i); <span class="hljs-comment">// 打印当前循环次数</span><br>    i++; <span class="hljs-comment">// 迭代</span><br>&#125;<br></code></pre></td></tr></table></figure>
-<p>示例中的<code>while</code>循环会执行直到<code>i</code>不再小于5为止。</p>
-<p>这个示例也会打印出0到4这五个数字。</p>
-<p>while常用于需要不确定次数的循环。</p>
-</li>
-</ul>
-<h4 id="do…while">do…while</h4>
-<ul>
-<li>
-<p>特性：<code>do...while</code> 循环与<code>while</code>循环类似，不同之处在于它先执行一次循环体，然后再检查条件。</p>
-</li>
-<li>
-<p>用法示例：</p>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">int</span> i = <span class="hljs-number">0</span>;<br><span class="hljs-keyword">do</span> &#123;<br>    <span class="hljs-comment">// 循环体代码</span><br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d\n&quot;</span>, i); <span class="hljs-comment">// 打印当前循环次数</span><br>    i++; <span class="hljs-comment">// 迭代</span><br>&#125; <span class="hljs-keyword">while</span> (i &lt; <span class="hljs-number">5</span>); <span class="hljs-comment">// 条件</span><br></code></pre></td></tr></table></figure>
-<p>示例中的<code>do...while</code>循环至少会执行一次循环体，然后重复执行，直到条件不再满足。</p>
-<p>这个示例也会打印出0到4这五个数字，但至少会执行一次循环体。</p>
-</li>
-</ul>
-<h4 id="break">break</h4>
-<ul>
-<li>
-<p>特性：<code>break</code> 语句用于在循环内部提前退出循环，无论循环条件是否满足。</p>
-</li>
-<li>
-<p>用法示例：</p>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; <span class="hljs-number">10</span>; i++) &#123;<br>    <span class="hljs-keyword">if</span> (i == <span class="hljs-number">5</span>) &#123;<br>        <span class="hljs-keyword">break</span>; <span class="hljs-comment">// 提前退出循环</span><br>    &#125;<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d\n&quot;</span>, i);<br>&#125;<br></code></pre></td></tr></table></figure>
-<p>示例中，当<code>i</code>等于5时，<code>break</code>会终止整个<code>for</code>循环的执行。</p>
-<p><code>break</code> 通常用于退出循环，但也可以在<code>switch</code>语句中用于终止<code>case</code>分支的执行。</p>
+<li>
+<p>特性：<code>break</code> 语句用于在循环内部提前退出循环，无论循环条件是否满足。</p>
+</li>
+<li>
+<p>用法示例：</p>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; <span class="hljs-number">10</span>; i++) &#123;<br>    <span class="hljs-keyword">if</span> (i == <span class="hljs-number">5</span>) &#123;<br>        <span class="hljs-keyword">break</span>; <span class="hljs-comment">// 提前退出循环</span><br>    &#125;<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d\n&quot;</span>, i);<br>&#125;<br></code></pre></td></tr></table></figure>
+<p>示例中，当<code>i</code>等于5时，<code>break</code>会终止整个<code>for</code>循环的执行。</p>
+<p><code>break</code> 通常用于退出循环，但也可以在<code>switch</code>语句中用于终止<code>case</code>分支的执行。</p>
 </li>
 </ul>
 <h4 id="continue">continue</h4>
@@ -877,46 +773,100 @@ CS(NSS) 片选管脚</p>
       </tags>
   </entry>
   <entry>
-    <title>C、C++的大括号是必须的部分吗？</title>
-    <url>/posts/57353.html</url>
-    <content><![CDATA[<p>在作为一名初学者，你可能看到一些课程中，对于判断或者循环部分，会使用类似这样的两种方式：</p>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-comment">// 方式1</span><br><span class="hljs-keyword">if</span>(a &gt; <span class="hljs-number">1</span>)&#123;<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;a &gt; 1&quot;</span>);<br>&#125;<br><span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i&lt; <span class="hljs-number">10</span>; i++) &#123;<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d\n&quot;</span>, i);<br>&#125;<br><span class="hljs-comment">// 方式2</span><br><span class="hljs-keyword">if</span>(a &gt; <span class="hljs-number">1</span>) <br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;a &gt; 1&quot;</span>);<br><span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i&lt; <span class="hljs-number">10</span>; i++)<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d\n&quot;</span>, i);<br></code></pre></td></tr></table></figure>
-<p>并且你会发现，对于这两种方式，他们的效果一样。</p>
-<p>那么大括号{}括起来和不括起来有什么区别呢？</p>
-<hr>
-<p>在C语言中，<code>if</code>语句后面的圆括号<code>()</code>内的表达式决定了条件是否为真。</p>
-<p>当条件为真时，<code>if</code>语句后面的代码块将被执行。</p>
-<p>这个代码块可以是<strong>单个语句</strong>，也可以是用大括号<code>&#123;&#125;</code><strong>括起来的多个语句</strong>。</p>
-<p>下面我来解释两种写法的差异：</p>
- <figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++">  <span class="hljs-keyword">if</span>(a &gt; <span class="hljs-number">1</span>) &#123; <br><span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;条件为真时执行的代码&quot;</span>); <br>  &#125;<br></code></pre></td></tr></table></figure>
-<blockquote>
-<p>这种写法使用了大括号<code>&#123;&#125;</code>，将一组语句组成了一个代码块。如果条件<code>a &gt; 1</code>为真，那么大括号内的所有语句都将被执行。</p>
-</blockquote>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-keyword">if</span>(a &gt; <span class="hljs-number">1</span>) <br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;条件为真时执行的代码&quot;</span>);<br></code></pre></td></tr></table></figure>
-<blockquote>
-<p>这种写法没有使用大括号<code>&#123;&#125;</code>，只包含了一个单独的语句。如果条件<code>a &gt; 1</code>为真，那么仅仅执行紧随其后的这个语句。</p>
-</blockquote>
-<p>所以，对于<strong>这种情况</strong>，两种写法的效果是一样的，只不过一种是用大括号明确地定义了一个代码块，另一种是单独的语句。</p>
-<p>这种用大括号括起来的部分通常被称为代码块或语句块，它可以包含一个或多个语句，用于组织多条语句以在特定条件下执行。使用大括号可以增加代码的可读性，并避免潜在的歧义，特别是在多条语句的情况下。</p>
-<p>不过在<strong>某些简单情况下</strong>，可以选择不使用大括号，但这通常<strong>不被推荐</strong>，因为它可能导致代码在以后的修改中出现问题。</p>
-<p>如果在 <code>if</code> 语句中不使用大括号括起来代码块，你可能会遇到以下问题：</p>
-<ol>
+    <title>C、C++数据类型关键字详解</title>
+    <url>/posts/48531.html</url>
+    <content><![CDATA[<h1>数据类型关键字</h1>
+<p>以下是对每个C语言数据类型关键字的详细解释，包括其包括特性、用法以及可能的范围和精度限制。</p>
+<h3 id="char">char</h3>
+<ul>
+<li>特性：<code>char</code>（字符型）用于存储单个字符，通常占用1个字节的内存空间。它可以表示ASCII字符集中的字符。范围通常为-128到127。</li>
+<li>用法：通常用于存储字符或小整数值。</li>
+<li>示例代码：<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">char</span> letter = <span class="hljs-string">&#x27;A&#x27;</span>; <span class="hljs-comment">// 定义一个字符变量并赋值</span><br></code></pre></td></tr></table></figure>
+</li>
+</ul>
+<h3 id="short">short</h3>
+<ul>
+<li>特性：<code>short</code>（短整型）用于存储整数值，通常占用2个字节的内存空间。范围通常为-32768到32767。</li>
+<li>用法：适用于节省内存空间但需要存储整数的情况。</li>
+<li>示例代码：<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">short</span> temperature = <span class="hljs-number">-10</span>; <span class="hljs-comment">// 定义一个短整数变量并赋值</span><br></code></pre></td></tr></table></figure>
+</li>
+</ul>
+<h3 id="int">int</h3>
+<ul>
 <li>
-<p><strong>逻辑错误</strong>：最常见的问题是逻辑错误。如果你不小心缩进了代码，以使其看起来好像属于 <code>if</code> 语句，但实际上不是，这可能会导致代码不按预期运行。</p>
+<p>特性：<code>int</code>（整型）用于存储整数值，通常占用4个字节的内存空间。这是最常用的整数类型。范围通常为-2147483648到2147483647。</p>
 </li>
 <li>
-<p><strong>可读性差</strong>：缺少大括号会使代码的结构不够清晰，降低了可读性。其他开发人员阅读代码时可能会难以理解哪些代码是条件成立时执行的。</p>
+<p>用法：通常用于存储整数，执行基本数学运算等。</p>
 </li>
 <li>
-<p><strong>维护问题</strong>：如果以后需要在条件成立时执行多个语句，你可能会忘记添加大括号，从而导致错误。这种错误很难发现，并且可能导致严重的问题。</p>
+<p>示例代码：</p>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">int</span> count = <span class="hljs-number">100</span>; <span class="hljs-comment">// 定义一个整数变量并赋值</span><br></code></pre></td></tr></table></figure>
+<p>int类型在计算过程中，会仅保留整数位，比如：</p>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">int</span> a = <span class="hljs-number">3</span>;<br>a = a/<span class="hljs-number">2</span>;<br><span class="hljs-comment">//经过a/2计算后，3/2=1.5,实际上a被赋予的值是1</span><br></code></pre></td></tr></table></figure>
 </li>
-</ol>
-<p>例如，考虑以下代码：</p>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">if</span> (x &gt; <span class="hljs-number">10</span>)<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;x 大于 10&quot;</span>);<br>    y = x * <span class="hljs-number">2</span>;<br></code></pre></td></tr></table></figure>
-<p>在这个示例中，<code>printf</code> 看起来好像是条件成立时执行的，但实际上，只有 <code>printf</code> 会受到 <code>if</code> 语句的条件影响。<code>y = x * 2</code> 不受条件控制，这可能不是你的意图。</p>
-<p>为了避免这种潜在的问题，建议始终使用大括号来明确地定义代码块，即使在 <code>if</code> 语句中只有一个语句也是如此，这样可以提高代码的可读性和健壮性，降低出错的可能性。例如：</p>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">if</span> (x &gt; <span class="hljs-number">10</span>) &#123;<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;x 大于 10&quot;</span>);<br>    y = x * <span class="hljs-number">2</span>;<br>&#125;<br></code></pre></td></tr></table></figure>
-<p>这种方式更清晰，更容易维护，且不容易出现潜在错误。</p>
+</ul>
+<h3 id="float">float</h3>
+<ul>
+<li>特性：<code>float</code>（单精度浮点型）用于存储浮点数，通常占用4个字节的内存空间。它具有单精度（约6-7位有效数字）。</li>
+<li>用法：用于存储小数或具有小数部分的数值。</li>
+<li>示例代码：<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">float</span> pi = <span class="hljs-number">3.14</span>; <span class="hljs-comment">// 定义一个单精度浮点数变量并赋值为 3.14</span><br></code></pre></td></tr></table></figure>
+</li>
+</ul>
+<h3 id="double">double</h3>
+<ul>
+<li>特性：<code>double</code>（双精度浮点型）用于存储双精度浮点数，通常占用8个字节的内存空间。它具有更高的精度（约15-16位有效数字）。</li>
+<li>用法：用于存储需要高精度的浮点数。</li>
+<li>示例代码：<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">double</span> salary = <span class="hljs-number">2.71828</span>; <span class="hljs-comment">// 定义一个双精度浮点数变量并赋值为 2.71828</span><br></code></pre></td></tr></table></figure>
+</li>
+</ul>
+<h3 id="long">long</h3>
+<ul>
+<li>特性：<code>long</code>（长整型）用于存储长整数，通常占用4个或8个字节的内存空间，具体大小取决于编译器和平台。通常用1long long`去声明一个长整数。</li>
+<li>用法：用于存储大整数值。</li>
+<li>示例代码：<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">long</span> <span class="hljs-type">long</span> population = <span class="hljs-number">8000000L</span>; <span class="hljs-comment">// 定义一个长整数变量并赋值，L表示值为长整数</span><br></code></pre></td></tr></table></figure>
+</li>
+</ul>
+<h3 id="signed-和-unsigned">signed 和 unsigned</h3>
+<ul>
+<li>特性：这两个关键字用于指定整数的符号性质。<code>signed</code>用于表示有符号整数，可以表示正数、负数和零；<code>unsigned</code>用于表示无符号整数，只能表示非负整数。</li>
+<li>用法：根据需求选择合适的符号性质。</li>
+<li>示例代码：<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">signed</span> <span class="hljs-type">int</span> temperature = <span class="hljs-number">-5</span>; <span class="hljs-comment">// 有符号整数</span><br><span class="hljs-type">unsigned</span> <span class="hljs-type">int</span> score = <span class="hljs-number">95</span>; <span class="hljs-comment">// 无符号整数</span><br></code></pre></td></tr></table></figure>
+</li>
+</ul>
+<h3 id="struct">struct</h3>
+<ul>
+<li>特性：<code>struct</code>（结构体）用于定义自定义的数据类型，可以包含多个不同类型的成员变量。</li>
+<li>用法：用于组织和存储多个相关数据项。</li>
+<li>示例代码：<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-class"><span class="hljs-keyword">struct</span> <span class="hljs-title">Point</span> &#123;</span><br>    <span class="hljs-type">int</span> x;<br>    <span class="hljs-type">int</span> y;<br>&#125;;<br><span class="hljs-class"><span class="hljs-keyword">struct</span> <span class="hljs-title">Point</span> <span class="hljs-title">p1</span> =</span> &#123;<span class="hljs-number">2</span>, <span class="hljs-number">3</span>&#125;; <span class="hljs-comment">// 定义一个结构体变量</span><br></code></pre></td></tr></table></figure>
+</li>
+</ul>
+<h3 id="enum">enum</h3>
+<ul>
+<li>特性：<code>enum</code>（枚举类型）用于创建一个有限集合的命名整数常量。</li>
+<li>用法：用于提高代码可读性，将整数值与有意义的标识符关联起来。</li>
+<li>示例代码：<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-class"><span class="hljs-keyword">enum</span> <span class="hljs-title">Days</span> &#123;</span> Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday &#125;;<br><span class="hljs-class"><span class="hljs-keyword">enum</span> <span class="hljs-title">Days</span> <span class="hljs-title">today</span> =</span> Tuesday; <span class="hljs-comment">// 使用枚举值</span><br></code></pre></td></tr></table></figure>
+</li>
+</ul>
+<h3 id="union">union</h3>
+<pre><code>- 特性：`union`（联合体）用于在相同的内存位置存储不同类型的数据，但只能同时存储其中一个成员。
+    - 用法：用于节省内存空间，但需要同时存储不同类型的数据。
+    - 示例代码：
+  <figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-class"><span class="hljs-keyword">union</span> <span class="hljs-title">Data</span> &#123;</span><br>    <span class="hljs-type">int</span> i;<br>    <span class="hljs-type">float</span> f;<br>&#125;;<br><span class="hljs-class"><span class="hljs-keyword">union</span> <span class="hljs-title">Data</span> <span class="hljs-title">value</span>;</span><br>value.i = <span class="hljs-number">42</span>; <span class="hljs-comment">// 存储整数</span><br></code></pre></td></tr></table></figure>
+</code></pre>
+<h3 id="void">void</h3>
+<pre><code>- 特性：`void`用于表示没有特定数据类型的值，通常用于函数的返回类型和指针类型。
+    - 用法：
+  - 函数返回类型：用于表示函数不返回任何值。
+  - 指针类型：用于创建通用指针（`void*`），可以指向任何类型的数据。
+    
+    - 示例代码：
+    
+      <figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-type">void</span> <span class="hljs-title function_">printMessage</span><span class="hljs-params">()</span> &#123;<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;Hello, World!\n&quot;</span>);<br>&#125;<br><span class="hljs-type">void</span>* ptr; <span class="hljs-comment">// 定义一个通用指针</span><br><span class="hljs-type">int</span> x = <span class="hljs-number">10</span>;<br>ptr = &amp;x; <span class="hljs-comment">// 将通用指针指向一个整数</span><br></code></pre></td></tr></table></figure>
+</code></pre>
+<p>每种数据类型都有其自身的特性和适用场景。范围和精度限制取决于具体的数据类型和编译器/平台的实现。</p>
+<p>例如，整数类型的范围受到位数的限制，浮点数类型的精度受到<a href="https://zhuanlan.zhihu.com/p/480834719">IEEE 754标准</a>的限制。</p>
+<p>在程序编写过程中，使用合适的数据类型可以提高程序的性能和可维护性。</p>
 ]]></content>
       <categories>
         <category>C/C++</category>
@@ -1251,17 +1201,67 @@ CS(NSS) 片选管脚</p>
       </tags>
   </entry>
   <entry>
-    <title>C语言学习相关</title>
-    <url>/posts/27662.html</url>
-    <content><![CDATA[<h2 id="函数递归">函数递归</h2>
+    <title>C、C++的大括号是必须的部分吗？</title>
+    <url>/posts/57353.html</url>
+    <content><![CDATA[<p>在作为一名初学者，你可能看到一些课程中，对于判断或者循环部分，会使用类似这样的两种方式：</p>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-comment">// 方式1</span><br><span class="hljs-keyword">if</span>(a &gt; <span class="hljs-number">1</span>)&#123;<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;a &gt; 1&quot;</span>);<br>&#125;<br><span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i&lt; <span class="hljs-number">10</span>; i++) &#123;<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d\n&quot;</span>, i);<br>&#125;<br><span class="hljs-comment">// 方式2</span><br><span class="hljs-keyword">if</span>(a &gt; <span class="hljs-number">1</span>) <br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;a &gt; 1&quot;</span>);<br><span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i&lt; <span class="hljs-number">10</span>; i++)<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d\n&quot;</span>, i);<br></code></pre></td></tr></table></figure>
+<p>并且你会发现，对于这两种方式，他们的效果一样。</p>
+<p>那么大括号{}括起来和不括起来有什么区别呢？</p>
+<hr>
+<p>在C语言中，<code>if</code>语句后面的圆括号<code>()</code>内的表达式决定了条件是否为真。</p>
+<p>当条件为真时，<code>if</code>语句后面的代码块将被执行。</p>
+<p>这个代码块可以是<strong>单个语句</strong>，也可以是用大括号<code>&#123;&#125;</code><strong>括起来的多个语句</strong>。</p>
+<p>下面我来解释两种写法的差异：</p>
+ <figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++">  <span class="hljs-keyword">if</span>(a &gt; <span class="hljs-number">1</span>) &#123; <br><span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;条件为真时执行的代码&quot;</span>); <br>  &#125;<br></code></pre></td></tr></table></figure>
 <blockquote>
-<p>函数递归，简单的理解就是，自己调用自己，直到遇到边界条件，停止递归</p>
+<p>这种写法使用了大括号<code>&#123;&#125;</code>，将一组语句组成了一个代码块。如果条件<code>a &gt; 1</code>为真，那么大括号内的所有语句都将被执行。</p>
 </blockquote>
-<p>比如我们想实现一个阶乘函数</p>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-type">int</span> n = <span class="hljs-number">5</span>;<span class="hljs-comment">//求n!  这里是5!</span><br><br><br><span class="hljs-comment">//不使用递归，一种可行的做法是这样</span><br><span class="hljs-type">int</span> ans = <span class="hljs-number">1</span>;<br><span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= n; i++) &#123;<br>    ans *= i;<br>&#125;<br><span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d! = %d&quot;</span>, n, ans);<br><br><br><span class="hljs-comment">//使用递归</span><br><span class="hljs-type">int</span> _n(<span class="hljs-type">int</span> x) &#123;<br>	<span class="hljs-keyword">if</span> (x == <span class="hljs-number">0</span>)<span class="hljs-keyword">return</span> <span class="hljs-number">1</span>;<br>	<span class="hljs-keyword">return</span> x * _n(x - <span class="hljs-number">1</span>);<br>&#125;<br><span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d! = %d&quot;</span>, n, _n(n));<br><span class="hljs-comment">/*</span><br><span class="hljs-comment">对于 _n(5)，我们拆分一下它自己调用自己的过程↓</span><br><span class="hljs-comment">_n(5)</span><br><span class="hljs-comment"> 5 * _n(4)</span><br><span class="hljs-comment">	 4 * _n(3)</span><br><span class="hljs-comment">		 3 * _n(2)</span><br><span class="hljs-comment">			 2 * _n(1)</span><br><span class="hljs-comment">				 1 * _n(0)</span><br><span class="hljs-comment">					 1</span><br><span class="hljs-comment">达到边界，返回值为：5*4*3*2*1*1的   结果   (是，结果，不是这个计算式)</span><br><span class="hljs-comment">*/</span><br></code></pre></td></tr></table></figure>
-<h2 id="define和const的区别">define和const的区别</h2>
-<h3 id="define：">define：</h3>
-<ul>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-keyword">if</span>(a &gt; <span class="hljs-number">1</span>) <br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;条件为真时执行的代码&quot;</span>);<br></code></pre></td></tr></table></figure>
+<blockquote>
+<p>这种写法没有使用大括号<code>&#123;&#125;</code>，只包含了一个单独的语句。如果条件<code>a &gt; 1</code>为真，那么仅仅执行紧随其后的这个语句。</p>
+</blockquote>
+<p>所以，对于<strong>这种情况</strong>，两种写法的效果是一样的，只不过一种是用大括号明确地定义了一个代码块，另一种是单独的语句。</p>
+<p>这种用大括号括起来的部分通常被称为代码块或语句块，它可以包含一个或多个语句，用于组织多条语句以在特定条件下执行。使用大括号可以增加代码的可读性，并避免潜在的歧义，特别是在多条语句的情况下。</p>
+<p>不过在<strong>某些简单情况下</strong>，可以选择不使用大括号，但这通常<strong>不被推荐</strong>，因为它可能导致代码在以后的修改中出现问题。</p>
+<p>如果在 <code>if</code> 语句中不使用大括号括起来代码块，你可能会遇到以下问题：</p>
+<ol>
+<li>
+<p><strong>逻辑错误</strong>：最常见的问题是逻辑错误。如果你不小心缩进了代码，以使其看起来好像属于 <code>if</code> 语句，但实际上不是，这可能会导致代码不按预期运行。</p>
+</li>
+<li>
+<p><strong>可读性差</strong>：缺少大括号会使代码的结构不够清晰，降低了可读性。其他开发人员阅读代码时可能会难以理解哪些代码是条件成立时执行的。</p>
+</li>
+<li>
+<p><strong>维护问题</strong>：如果以后需要在条件成立时执行多个语句，你可能会忘记添加大括号，从而导致错误。这种错误很难发现，并且可能导致严重的问题。</p>
+</li>
+</ol>
+<p>例如，考虑以下代码：</p>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">if</span> (x &gt; <span class="hljs-number">10</span>)<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;x 大于 10&quot;</span>);<br>    y = x * <span class="hljs-number">2</span>;<br></code></pre></td></tr></table></figure>
+<p>在这个示例中，<code>printf</code> 看起来好像是条件成立时执行的，但实际上，只有 <code>printf</code> 会受到 <code>if</code> 语句的条件影响。<code>y = x * 2</code> 不受条件控制，这可能不是你的意图。</p>
+<p>为了避免这种潜在的问题，建议始终使用大括号来明确地定义代码块，即使在 <code>if</code> 语句中只有一个语句也是如此，这样可以提高代码的可读性和健壮性，降低出错的可能性。例如：</p>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-keyword">if</span> (x &gt; <span class="hljs-number">10</span>) &#123;<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;x 大于 10&quot;</span>);<br>    y = x * <span class="hljs-number">2</span>;<br>&#125;<br></code></pre></td></tr></table></figure>
+<p>这种方式更清晰，更容易维护，且不容易出现潜在错误。</p>
+]]></content>
+      <categories>
+        <category>C/C++</category>
+      </categories>
+      <tags>
+        <tag>C语言</tag>
+        <tag>C++</tag>
+      </tags>
+  </entry>
+  <entry>
+    <title>C语言学习相关</title>
+    <url>/posts/27662.html</url>
+    <content><![CDATA[<h2 id="函数递归">函数递归</h2>
+<blockquote>
+<p>函数递归，简单的理解就是，自己调用自己，直到遇到边界条件，停止递归</p>
+</blockquote>
+<p>比如我们想实现一个阶乘函数</p>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-type">int</span> n = <span class="hljs-number">5</span>;<span class="hljs-comment">//求n!  这里是5!</span><br><br><br><span class="hljs-comment">//不使用递归，一种可行的做法是这样</span><br><span class="hljs-type">int</span> ans = <span class="hljs-number">1</span>;<br><span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= n; i++) &#123;<br>    ans *= i;<br>&#125;<br><span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d! = %d&quot;</span>, n, ans);<br><br><br><span class="hljs-comment">//使用递归</span><br><span class="hljs-type">int</span> _n(<span class="hljs-type">int</span> x) &#123;<br>	<span class="hljs-keyword">if</span> (x == <span class="hljs-number">0</span>)<span class="hljs-keyword">return</span> <span class="hljs-number">1</span>;<br>	<span class="hljs-keyword">return</span> x * _n(x - <span class="hljs-number">1</span>);<br>&#125;<br><span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%d! = %d&quot;</span>, n, _n(n));<br><span class="hljs-comment">/*</span><br><span class="hljs-comment">对于 _n(5)，我们拆分一下它自己调用自己的过程↓</span><br><span class="hljs-comment">_n(5)</span><br><span class="hljs-comment"> 5 * _n(4)</span><br><span class="hljs-comment">	 4 * _n(3)</span><br><span class="hljs-comment">		 3 * _n(2)</span><br><span class="hljs-comment">			 2 * _n(1)</span><br><span class="hljs-comment">				 1 * _n(0)</span><br><span class="hljs-comment">					 1</span><br><span class="hljs-comment">达到边界，返回值为：5*4*3*2*1*1的   结果   (是，结果，不是这个计算式)</span><br><span class="hljs-comment">*/</span><br></code></pre></td></tr></table></figure>
+<h2 id="define和const的区别">define和const的区别</h2>
+<h3 id="define：">define：</h3>
+<ul>
 <li><code>define</code> 是一个预处理指令，通常在 C 和 C++ 这类编程语言中使用。</li>
 <li>它用于定义编译时常量，这意味着在编译程序之前就将其值固定下来。</li>
 <li><code>define</code> 通常用于创建符号常量（宏常量），例如：<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-meta">#<span class="hljs-keyword">define</span> MAX_VALUE 100</span><br></code></pre></td></tr></table></figure>
@@ -1294,42 +1294,6 @@ CS(NSS) 片选管脚</p>
         <category>C++</category>
       </categories>
   </entry>
-  <entry>
-    <title>GMD09601-0.96OLED显示屏</title>
-    <url>/posts/24495.html</url>
-    <content><![CDATA[<h1>GMD09601-0.96OLED显示屏</h1>
-<blockquote>
-<p>驱动芯片：SSD1306</p>
-<p>支持接口：SPI/IIC</p>
-<p>分辨率：128*64</p>
-</blockquote>
-<h2 id="接口定义">接口定义</h2>
-<ul>
-<li>GND：电源地</li>
-<li>VDD：电源正（3.3V ~ 5V）</li>
-<li>SCK：时钟线</li>
-<li>SDA：数据线</li>
-<li>RES：复位线</li>
-<li>DC：数据/命令</li>
-<li>CS：片选</li>
-</ul>
-<h1>对于096 OLED屏幕接线</h1>
-<h2 id="F207">F207</h2>
-<blockquote>
-<p>GND 电源地<br>
-VCC 电源正（3.3～5V）<br>
-D0(SCL) SCK管脚<br>
-D1(SDA) MOSI管脚<br>
-RES(RST) 用来复位（低电平复位）<br>
-DC(D/C) 数据和命令控制管脚 1表示数据 0表示命令<br>
-CS(NSS) 片选管脚</p>
-</blockquote>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">GND	-&gt;	GND<br>VCC	-&gt;	3V3<br>D0	-&gt;	PA5<br>D1	-&gt;	PA7<br>RES	-&gt;	PA4<br>DC	-&gt;	PA6<br>CS	-&gt;	NONE<br></code></pre></td></tr></table></figure>
-]]></content>
-      <categories>
-        <category>STM32</category>
-      </categories>
-  </entry>
   <entry>
     <title>C语言神经网络房价预测系统</title>
     <url>/posts/29111.html</url>
@@ -1434,6 +1398,153 @@ CS(NSS) 片选管脚</p>
         <category>C/C++</category>
       </categories>
   </entry>
+  <entry>
+    <title>GMD09601-0.96OLED显示屏</title>
+    <url>/posts/24495.html</url>
+    <content><![CDATA[<h1>GMD09601-0.96OLED显示屏</h1>
+<blockquote>
+<p>驱动芯片：SSD1306</p>
+<p>支持接口：SPI/IIC</p>
+<p>分辨率：128*64</p>
+</blockquote>
+<h2 id="接口定义">接口定义</h2>
+<ul>
+<li>GND：电源地</li>
+<li>VDD：电源正（3.3V ~ 5V）</li>
+<li>SCK：时钟线</li>
+<li>SDA：数据线</li>
+<li>RES：复位线</li>
+<li>DC：数据/命令</li>
+<li>CS：片选</li>
+</ul>
+<h1>对于096 OLED屏幕接线</h1>
+<h2 id="F207">F207</h2>
+<blockquote>
+<p>GND 电源地<br>
+VCC 电源正（3.3～5V）<br>
+D0(SCL) SCK管脚<br>
+D1(SDA) MOSI管脚<br>
+RES(RST) 用来复位（低电平复位）<br>
+DC(D/C) 数据和命令控制管脚 1表示数据 0表示命令<br>
+CS(NSS) 片选管脚</p>
+</blockquote>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">GND	-&gt;	GND<br>VCC	-&gt;	3V3<br>D0	-&gt;	PA5<br>D1	-&gt;	PA7<br>RES	-&gt;	PA4<br>DC	-&gt;	PA6<br>CS	-&gt;	NONE<br></code></pre></td></tr></table></figure>
+]]></content>
+      <categories>
+        <category>STM32</category>
+      </categories>
+  </entry>
+  <entry>
+    <title>C语言实现波士顿房价预测</title>
+    <url>/posts/37594.html</url>
+    <content><![CDATA[<p>波士顿房价预测是一个经典的机器学习任务，类似于程序员世界的“Hello World”。和大家对房价的普遍认知相同，波士顿地区的房价受诸多因素影响。该数据集统计了13种可能影响房价的因素和该类型房屋的均价，期望构建一个基于13个因素进行房价预测的模型，如 下图所示。</p>
+<p><img src="https://ai-studio-static-online.cdn.bcebos.com/abce0cb2a92f4e679c6855cfa520491597171533a0b0447e8d51d904446e213e" alt="波士顿房价影响因素示意图"></p>
+<p>对于预测问题，可以根据预测输出的类型是连续的实数值，还是离散的标签，区分为回归任务和分类任务。<strong>因为房价是一个连续值，所以房价预测显然是一个回归任务</strong>。下面我们尝试用最简单的<strong>线性回归模型</strong>解决这个问题，并用神经网络来实现这个模型。</p>
+<h2 id="线性回归模型">线性回归模型</h2>
+<p>假设房价和各影响因素之间能够用线性关系来描述：<br>
+$$<br>
+y = \sum_{j=1}^M w_jx_j + b (公式1)<br>
+$$<br>
+模型的求解即是通过数据拟合出每个$w_j$和$b$。其中，$w_j$和$b$分别表示该线性模型的权重和偏置。一维情况下，$w_j$ 和 $b$ 是直线的斜率和截距。</p>
+<p>线性回归模型使用<strong>均方误差</strong>作为损失函数（Loss），用以衡量预测房价和真实房价的差异，公式如下（其中$\widehat Y_i$为预测值 $Y_i$为实际值）：<br>
+$$<br>
+s = \frac{1}{n}\sum_{i=1}^n (\widehat Y_i - Y_i)^2 (公式2)<br>
+$$</p>
+<hr>
+<p><strong>思考：</strong></p>
+<p>为什么要以均方误差作为损失函数？即将模型在每个训练样本上的预测误差加和，来衡量整体样本的准确性。这是因为损失函数的设计不仅仅要考虑“合理性”，同样需要考虑“易解性”，这个问题在后面的内容中会详细阐述。</p>
+<hr>
+<p>神经网络的标准结构中每个神经元由加权和与非线性变换构成，然后将多个神经元分层的摆放并连接形成神经网络。线性回归模型可以认为是神经网络模型的一种极简特例，是一个只有加权和、没有非线性变换的神经元（无需形成网络），如 <strong>图2</strong> 所示。</p>
+<p><img src="https://ai-studio-static-online.cdn.bcebos.com/f9117a5a34d44b1eab85147e62b4e6295e485e48d79d4a03adaa14a447ffd230" alt="线性回归模型的神经网络结构"></p>
+<p><strong>以上内容复制自<a href="https://aistudio.baidu.com/aistudio/projectdetail/5984433">飞桨AI Studio - 人工智能学习与实训社区 (baidu.com)</a></strong></p>
+<hr>
+<h2 id="程序编写概要：">程序编写概要：</h2>
+<blockquote>
+<ol>
+<li>
+<p>编写一个 C 语言程序，基于以往房价影响数据训练出房价预测模型，从而预测以后房价。</p>
+</li>
+<li>
+<p>使用用户给出的housing.data数据，该数据每份有14项，前13项为房价影响因素，最后一项为同类型房价中位数。对获得数据进行归一化处理，确保步长不影响模型效果。</p>
+</li>
+<li>
+<p>使用输入层13层，隐藏层2层，输出层1层的简易神经网络。</p>
+</li>
+<li>
+<p>采用训练集：测试集=8：2。</p>
+</li>
+<li>
+<p>实现必要的错误检查和处理机制，防止无效的输入和计算。</p>
+</li>
+<li>
+<p>将程序按照模块化设计原则进行组织，使得代码结构清晰、易于理解和扩展。</p>
+</li>
+<li>
+<p>使用注释对程序进行说明，包括每个函数的作用、输入输出参数、算法思路等。</p>
+</li>
+<li>
+<p>程序的函数声明位于.h文件中，函数具体实现位于.c文件中。</p>
+</li>
+<li>
+<p>进行充分的测试，验证程序在各种情况下的正确性和稳定性。</p>
+</li>
+</ol>
+</blockquote>
+<h2 id="系统功能分析">系统功能分析</h2>
+<blockquote>
+<ol>
+<li>
+<p>系统分为四大块：数据分配模块、模型训练模块、模型质量检验模块、预测模块。</p>
+</li>
+<li>
+<p>使用如下神经网络架构实现房价预测模型的训练。</p>
+<blockquote>
+<p>输入层：13</p>
+<p>隐藏层：2</p>
+<p>输出层：1</p>
+</blockquote>
+</li>
+<li>
+<p>数据分配模块：应对整体数据按照8：2分类比分配，分别为训练集和测试集。</p>
+</li>
+<li>
+<p>模型训练模块：载入训练集，对训练集中的数据进行归一化处理后，获取相应数据集和标签集，对模型参数初始化后开始训练，训练的轮次及学习率需在训练前设置，模型训练完成后，导出模型。</p>
+</li>
+<li>
+<p>模型质量检验模块：导入训练好的模型，依照模型参数，对测试集中的数据进行归一化处理后，依照用户所给标准，检验模型质量。</p>
+</li>
+<li>
+<p>预测模块：导入训练好的模型，依照模型参数，对用户所给的数据进行归一化处理后，进行房价预测，并给出99%-50%预测下的房价区间。</p>
+</li>
+</ol>
+</blockquote>
+<h1>数据分配源码</h1>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&quot;global_define.h&quot;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdio.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdlib.h&gt;</span></span><br><br><span class="hljs-type">double</span> data[SIZE][LABELS];<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;请输入数据文件路径：&quot;</span>);<br>	<span class="hljs-type">char</span> datafile[<span class="hljs-number">101</span>];<br>	<span class="hljs-built_in">scanf</span>(<span class="hljs-string">&quot;%s&quot;</span>, datafile);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;开始载入数据...\n&quot;</span>);<br>	FILE* fdata = <span class="hljs-built_in">fopen</span>(datafile, <span class="hljs-string">&quot;r&quot;</span>);<br>	<span class="hljs-keyword">if</span> (fdata == <span class="hljs-literal">NULL</span>) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;文件%s打开失败，程序即将退出..&quot;</span>, datafile);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">-11</span>);<br>	&#125;<br>	<span class="hljs-type">int</span> ysize = <span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">while</span> (!<span class="hljs-built_in">feof</span>(fdata)) &#123;<br>		<span class="hljs-comment">//按着每行14份数据为一组进行分割</span><br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; LABELS; i++) &#123;<br>			<span class="hljs-comment">//fscanf_s(fdata, &quot;%lf&quot;, &amp;data[ysize][i]);</span><br>			<span class="hljs-built_in">fscanf</span>(fdata, <span class="hljs-string">&quot;%lf&quot;</span>, &amp;data[ysize][i]);<br>		&#125;<br>		ysize++;<br>	&#125;<br>	<span class="hljs-built_in">fclose</span>(fdata);<br><br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;开始分配训练数据...\n&quot;</span>);<br>	FILE* train = <span class="hljs-built_in">fopen</span>(<span class="hljs-string">&quot;train.data&quot;</span>, <span class="hljs-string">&quot;w&quot;</span>);<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		<span class="hljs-keyword">if</span> (i)<span class="hljs-built_in">fprintf</span>(train, <span class="hljs-string">&quot;\n&quot;</span>);<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = <span class="hljs-number">0</span>; j &lt; LABELS; j++) &#123;<br>			<span class="hljs-built_in">fprintf</span>(train, <span class="hljs-string">&quot;%lf &quot;</span>, data[i][j]);<br>		&#125;<br>	&#125;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;训练数据分配完毕！.\n&quot;</span>);<br>	<span class="hljs-built_in">fclose</span>(train);<br><br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;开始分配测试数据...\n&quot;</span>);<br>	FILE* eval = <span class="hljs-built_in">fopen</span>(<span class="hljs-string">&quot;eval.data&quot;</span>, <span class="hljs-string">&quot;w&quot;</span>);<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; EVAL_SIZE; i++) &#123;<br>		<span class="hljs-keyword">if</span>(i)<span class="hljs-built_in">fprintf</span>(eval, <span class="hljs-string">&quot;\n&quot;</span>);<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = <span class="hljs-number">0</span>; j &lt; LABELS; j++) &#123;<br>			<span class="hljs-built_in">fprintf</span>(eval, <span class="hljs-string">&quot;%lf &quot;</span>, data[i + TRAIN_SIZE][j]);<br>		&#125;<br>	&#125;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;测试数据分配完毕！\n&quot;</span>);<br>	<span class="hljs-built_in">fclose</span>(eval);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;数据处理完成！\n&quot;</span>);<br>	<span class="hljs-built_in">system</span>(<span class="hljs-string">&quot;pause&quot;</span>);<br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br><br><br></code></pre></td></tr></table></figure>
+<hr>
+<h1>训练源码</h1>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&quot;global_define.h&quot;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdio.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdlib.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;math.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">define</span> M_PI 3.14159265358979323846</span><br><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">normal_random</span><span class="hljs-params">()</span> </span>&#123;<br>	<span class="hljs-type">double</span> u1 = <span class="hljs-built_in">rand</span>() / (RAND_MAX + <span class="hljs-number">1.0</span>);<br>	<span class="hljs-type">double</span> u2 = <span class="hljs-built_in">rand</span>() / (RAND_MAX + <span class="hljs-number">1.0</span>);<br>	<span class="hljs-type">double</span> z = <span class="hljs-built_in">sqrt</span>(<span class="hljs-number">-2.0</span> * <span class="hljs-built_in">log</span>(u1)) * <span class="hljs-built_in">sin</span>(<span class="hljs-number">2.0</span> * M_PI * u2);<br>	<span class="hljs-keyword">return</span> z;<br>&#125;<br><span class="hljs-keyword">struct</span> <span class="hljs-title class_">Pair</span> &#123;<br>	<span class="hljs-type">double</span>* first;<br>	<span class="hljs-type">double</span> second;<br>&#125;;<br><br><span class="hljs-keyword">typedef</span> <span class="hljs-keyword">struct</span> <span class="hljs-title class_">Pair</span> Pair;<br><span class="hljs-type">const</span> <span class="hljs-type">int</span> iterations = <span class="hljs-number">40000</span>;<br><span class="hljs-type">const</span> <span class="hljs-type">int</span> log_step = <span class="hljs-number">50</span>;<br><span class="hljs-type">double</span> learningrate = <span class="hljs-number">0.00125</span>;<br><span class="hljs-type">double</span> data[SIZE][LABELS];<br><span class="hljs-type">double</span> train_data[TRAIN_SIZE][LABELS];<br><span class="hljs-type">double</span> maximums[LABELS] = &#123; <span class="hljs-number">0.0</span> &#125;;<br><span class="hljs-type">double</span> minimums[LABELS] = &#123; <span class="hljs-number">0.0</span> &#125;;<br><span class="hljs-type">double</span> avgs[LABELS] = &#123; <span class="hljs-number">0.0</span> &#125;;<br><span class="hljs-type">int</span> init = <span class="hljs-number">0</span>;<br><span class="hljs-type">double</span> w[DATA_SIZE] = &#123;<br>	<span class="hljs-number">1.76405235</span>,<br>	<span class="hljs-number">0.40015721</span>,<br>	<span class="hljs-number">0.97873798</span>,<br>	<span class="hljs-number">2.2408932</span>,<br>	<span class="hljs-number">1.86755799</span>,<br>	<span class="hljs-number">-0.97727788</span>,<br>	<span class="hljs-number">0.95008842</span>,<br>	<span class="hljs-number">-0.15135721</span>,<br>	<span class="hljs-number">-0.10321885</span>,<br>	<span class="hljs-number">0.4105985</span>,<br>	<span class="hljs-number">0.14404357</span>,<br>	<span class="hljs-number">1.45427351</span>,<br>	<span class="hljs-number">0.76103773</span>, &#125;;<br><span class="hljs-type">double</span> b = <span class="hljs-number">0</span>;<br><span class="hljs-comment">////////////////////////////</span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&quot;array.h&quot;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&quot;dataprocess.h&quot;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&quot;Network.h&quot;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&quot;vectorcomputation.h&quot;</span></span><br><span class="hljs-comment">////////////////////////////</span><br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	<span class="hljs-built_in">printhello</span>(<span class="hljs-number">1</span>);<br>	<span class="hljs-built_in">load_data</span>();<br>	<span class="hljs-comment">//数据集 TRAIN_SIZE * SIZE</span><br>	<span class="hljs-type">double</span> x[TRAIN_SIZE][DATA_SIZE];<br>	<span class="hljs-comment">//double** x = (double**)malloc(sizeof(double*) * TRAIN_SIZE);</span><br>	<span class="hljs-comment">//for (int i = 0; i &lt; TRAIN_SIZE; i++) &#123;</span><br>	<span class="hljs-comment">//	x[i] = (double*)malloc(SIZE * sizeof(double));</span><br>	<span class="hljs-comment">//&#125;</span><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = <span class="hljs-number">0</span>; j &lt; DATA_SIZE; j++) &#123;<br>			x[i][j] = train_data[i][j];<br>		&#125;<br>	&#125;<br><br>	<span class="hljs-comment">//标签集 TRAIN_SIZE * 1</span><br>	<span class="hljs-type">double</span> y[TRAIN_SIZE];<br>	<span class="hljs-comment">//double* y = (double*)malloc(sizeof(double) * TRAIN_SIZE);</span><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		y[i] = train_data[i][DATA_SIZE];<br>	&#125;<br>	__init__();<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;按下任意按键以开始训练...\n&quot;</span>);<br>	<span class="hljs-built_in">system</span>(<span class="hljs-string">&quot;pause&quot;</span>);<br><br>	<span class="hljs-built_in">train</span>(x, y);<br><br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br><br><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">////////////////////////////////__ARRAY_H__//////////////////////////////////</span><br><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">getsum</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span>* arr, <span class="hljs-type">const</span> <span class="hljs-type">int</span> size)</span> </span>&#123;<br>	<span class="hljs-type">double</span> ans = <span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; size; i++) &#123;<br>		ans += arr[i];<br>	&#125;<br>	<span class="hljs-keyword">return</span> ans;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">getavg</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span>* arr, <span class="hljs-type">const</span> <span class="hljs-type">int</span> size)</span> </span>&#123;<br>	<span class="hljs-keyword">return</span> <span class="hljs-built_in">getsum</span>(arr, size) / (<span class="hljs-type">double</span>)size;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">getmax_col</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> arr[TRAIN_SIZE][LABELS], <span class="hljs-type">const</span> <span class="hljs-type">int</span> col)</span> </span>&#123;<br>	<span class="hljs-type">double</span> ans = <span class="hljs-number">-23333</span>;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		<span class="hljs-keyword">if</span> (arr[i][col] &gt; ans) &#123;<br>			ans = arr[i][col];<br>		&#125;<br>	&#125;<br><br>	<span class="hljs-keyword">return</span> ans;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">getmin_col</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> arr[TRAIN_SIZE][LABELS], <span class="hljs-type">const</span> <span class="hljs-type">int</span> col)</span> </span>&#123;<br>	<span class="hljs-type">double</span> ans = <span class="hljs-number">23333</span>;<br><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		<span class="hljs-keyword">if</span> (arr[i][col] &lt; ans) &#123;<br>			ans = arr[i][col];<br>		&#125;<br>	&#125;<br><br>	<span class="hljs-keyword">return</span> ans;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">getsum_row</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> arr[TRAIN_SIZE][LABELS], <span class="hljs-type">const</span> <span class="hljs-type">int</span> col)</span> </span>&#123;<br>	<span class="hljs-type">double</span> ans = <span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		ans += arr[i][col];<br>	&#125;<br>	<span class="hljs-keyword">return</span> ans;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">getavg_col</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> arr[TRAIN_SIZE][LABELS], <span class="hljs-type">const</span> <span class="hljs-type">int</span> col)</span> </span>&#123;<br>	<span class="hljs-keyword">return</span> <span class="hljs-built_in">getsum_row</span>(arr, col) / (<span class="hljs-type">double</span>)TRAIN_SIZE;<br>&#125;<br><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////__DATAPROCESS_H__///////////////////////////////</span><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">load_data</span><span class="hljs-params">()</span> </span>&#123;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;开始载入数据...\n&quot;</span>);<br>	<span class="hljs-type">const</span> <span class="hljs-type">char</span>* datafile = <span class="hljs-string">&quot;train.data&quot;</span>;<br>	FILE* fdata = <span class="hljs-built_in">fopen</span>(datafile, <span class="hljs-string">&quot;r&quot;</span>);<br>	<span class="hljs-keyword">if</span> (fdata == <span class="hljs-literal">NULL</span>) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;文件%s打开失败，程序即将退出..&quot;</span>, datafile);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">-11</span>);<br>	&#125;<br>	<span class="hljs-type">int</span> ysize = <span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">while</span> (!<span class="hljs-built_in">feof</span>(fdata)) &#123;<br>		<span class="hljs-comment">//按着每行14份数据为一组进行分割</span><br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; LABELS; i++) &#123;<br>			<span class="hljs-built_in">fscanf</span>(fdata, <span class="hljs-string">&quot;%lf&quot;</span>, &amp;data[ysize][i]);<br>		&#125;<br>		ysize++;<br>	&#125;<br><br>	<span class="hljs-built_in">fclose</span>(fdata);<br><br>	<span class="hljs-comment">//	copy(data, data_slice, 0, 0, TRAIN_SIZE, LABELS);</span><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = <span class="hljs-number">0</span>; j &lt; LABELS; j++) &#123;<br>			train_data[i][j] = data[i][j];<br>		&#125;<br>	&#125;<br><br>	<span class="hljs-comment">//for (int i = 0; i &lt; TRAIN_SIZE * LABELS; i++) &#123;</span><br>	<span class="hljs-comment">//	printf(&quot;%lf &quot;, train_data[i / 14][i % 14]);</span><br>	<span class="hljs-comment">//	if (i % 14 == 0)printf(&quot;\n&quot;);</span><br>	<span class="hljs-comment">//&#125;</span><br><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; LABELS; i++) &#123;<br>		maximums[i] = <span class="hljs-built_in">getmax_col</span>(train_data, i);<br>		minimums[i] = <span class="hljs-built_in">getmin_col</span>(train_data, i);<br>		avgs[i] = <span class="hljs-built_in">getavg_col</span>(train_data, i);<br>		<span class="hljs-comment">//printf(&quot;%lf %lf %lf\n&quot;, maximums[i], minimums[i], avgs[i]);</span><br>	&#125;<br>	<br>	<span class="hljs-comment">//归一化</span><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> x = <span class="hljs-number">0</span>; x &lt; TRAIN_SIZE; x++) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> y = <span class="hljs-number">0</span>; y &lt; DATA_SIZE; y++) &#123;<br>			<span class="hljs-keyword">if</span> (maximums[y] - minimums[y] == <span class="hljs-number">0</span>)<span class="hljs-keyword">continue</span>;<br>			data[x][y] = (data[x][y] - minimums[y]) / (maximums[y] - minimums[y]);<br>		&#125;<br>	&#125;<br><br>	<span class="hljs-comment">/*for (int y = 0; y &lt; TRAIN_SIZE; y++) &#123;</span><br><span class="hljs-comment">		printf(&quot;%.5lf &quot;, data[y][0]);</span><br><span class="hljs-comment">	&#125;</span><br><span class="hljs-comment">	printf(&quot;\n&quot;);*/</span><br><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = <span class="hljs-number">0</span>; j &lt; LABELS; j++) &#123;<br>			train_data[i][j] = data[i][j];<br>		&#125;<br>	&#125;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;数据载入完成\n&quot;</span>);<br>&#125;<br><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">///////////////////////////////__NETWORK_H__/////////////////////////////////</span><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 初始化</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-type">void</span> __init__() &#123;<br>	init = <span class="hljs-number">1</span>;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;***w***\n&quot;</span>);<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		<span class="hljs-comment">//w[i] = 1.0 * normal_random();</span><br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%.2lf &quot;</span>, w[i]);<br>	&#125;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\n&quot;</span>);<br>	b = <span class="hljs-number">0.0</span>;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;初始化完成\n&quot;</span>);<br>&#125;<br><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 前向计算</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;x&quot;&gt;数据集，大小为TRAIN_SIZE * DATA_SIZE&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;z&quot;&gt;用于接受返回值的数组，其值为基于当前w b计算得来的预测值&lt;/param&gt;</span><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">forward</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> x[TRAIN_SIZE][DATA_SIZE], <span class="hljs-type">double</span> z[TRAIN_SIZE])</span> </span>&#123;<br>	<span class="hljs-keyword">if</span> (!init) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;网络未进行初始化！--forward 错误代码：-1&quot;</span>);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">-1</span>);<br>	&#125;<br><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		z[i] = <span class="hljs-built_in">vectordot</span>(x[i], w) + b;<br>		<span class="hljs-comment">//printf(&quot;%lf\n&quot;,z[i]);</span><br>	&#125;<br>&#125;<br><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 计算损失</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;z&quot;&gt;当前w b下的预测值[将用于与标签值比较]，大小为TRAIN_SIZE&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;y&quot;&gt;标签值，大小为TRAIN_SIZE&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;returns&gt;一个double，代表预测值与实际值的误差，误差越小，返回值越小&lt;/returns&gt;</span><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">loss</span><span class="hljs-params">(<span class="hljs-type">double</span> z[TRAIN_SIZE],<span class="hljs-type">const</span> <span class="hljs-type">double</span> y[TRAIN_SIZE])</span> </span>&#123;<br>	<span class="hljs-keyword">if</span> (!init) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;网络未进行初始化！--loss 错误代码：-2&quot;</span>);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">-2</span>);<br>	&#125;<br>	<span class="hljs-comment">//printf(&quot;::vectorsub &quot;);</span><br>	<span class="hljs-type">double</span> error[TRAIN_SIZE];<br>	<span class="hljs-built_in">vectorsub</span>(z, y, error);<br>	<span class="hljs-comment">/*for (int i = 0; i &lt; TRAIN_SIZE; i++) &#123;</span><br><span class="hljs-comment">		printf(&quot;%lf &quot;, z[i]);</span><br><span class="hljs-comment">	&#125;</span><br><span class="hljs-comment">	printf(&quot;\n&quot;);*/</span><br><br>	<span class="hljs-comment">//printf(&quot;::vectormultiply  &quot;);</span><br>	<span class="hljs-type">double</span> cost[TRAIN_SIZE];<br>	<span class="hljs-built_in">vectormultiply</span>(error, error, cost);<br>	<br>	<span class="hljs-comment">/*for (int i = 0; i &lt; TRAIN_SIZE; i++) &#123;</span><br><span class="hljs-comment">		printf(&quot;%.3lf &quot;, cost[i]);</span><br><span class="hljs-comment">	&#125;</span><br><span class="hljs-comment">	printf(&quot;\n***********************************\n&quot;);*/</span><br>	<br>	<span class="hljs-type">double</span> dcost = <span class="hljs-built_in">getavg</span>(cost, TRAIN_SIZE);<br><br>	<span class="hljs-keyword">return</span> dcost;<br>&#125;<br><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 梯度计算</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;x&quot;&gt;数据集，大小为TRAIN_SIZE * DATA_SIZE&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;y&quot;&gt;标签集，大小为TRAIN_SIZE&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;returns&gt;返回Pair 第一项为梯度w 第二项为梯度b&lt;/returns&gt;</span><br><span class="hljs-function">Pair <span class="hljs-title">gradient</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> x[TRAIN_SIZE][DATA_SIZE], <span class="hljs-type">const</span> <span class="hljs-type">double</span> y[TRAIN_SIZE])</span> </span>&#123;<br>	<span class="hljs-keyword">if</span> (!init) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;网络未进行初始化！--gradient 错误代码：-3&quot;</span>);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">-3</span>);<br>	&#125;<br>	<span class="hljs-comment">//printf(&quot;gradient::forward\n&quot;);</span><br>	<span class="hljs-comment">//z : 404 * 1</span><br>	<span class="hljs-comment">//y : 404 * 1</span><br>	<span class="hljs-comment">//x : 404 * 13</span><br>	<span class="hljs-type">double</span> z[TRAIN_SIZE];<br>	forward(x, z);<br>	<span class="hljs-comment">/*for (int i = 0; i &lt; TRAIN_SIZE; i++) &#123;</span><br><span class="hljs-comment">		printf(&quot;%.3lf &quot;, z[i]);</span><br><span class="hljs-comment">	&#125;</span><br><span class="hljs-comment">	printf(&quot;\n&quot;);*/</span><br><br><br>	<span class="hljs-comment">//printf(&quot;gradient::sub\n&quot;);</span><br>	<span class="hljs-type">double</span> tgradient_b[TRAIN_SIZE];<br><br>	<span class="hljs-built_in">vectorsub</span>(z, y, tgradient_b);<br><br>	<span class="hljs-comment">/*for (int i = 0; i &lt; TRAIN_SIZE; i++) &#123;</span><br><span class="hljs-comment">		printf(&quot;%lf %d\n&quot;, tgradient_b[i], i);</span><br><span class="hljs-comment">	&#125;*/</span><br><br>	<span class="hljs-comment">//printf(&quot;gradient::multiply2\n&quot;);</span><br>	<br>	<span class="hljs-type">double</span> tgradient_w[TRAIN_SIZE][DATA_SIZE];<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = <span class="hljs-number">0</span>; j &lt; DATA_SIZE; j++) &#123;<br>			tgradient_w[i][j] = tgradient_b[i] * x[i][j];<br>			<span class="hljs-comment">//printf(&quot;%.2lf &quot;, tgradient_w[i][j]);</span><br>		&#125;<br>		<span class="hljs-comment">//printf(&quot;\n&quot;);</span><br>	&#125;<br><br>	<span class="hljs-comment">//for (int i = 0; i &lt; TRAIN_SIZE; i++) &#123;</span><br>	<span class="hljs-comment">//	vectormultiply(tgradient_b, x[i], tgradient_w[i]);</span><br>	<span class="hljs-comment">//&#125;</span><br><br>	<span class="hljs-comment">//printf(&quot;end multiply\n&quot;);</span><br><br>	<span class="hljs-type">double</span> gradient_w[DATA_SIZE];<br>	<span class="hljs-comment">//列均值</span><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		<span class="hljs-type">double</span> sum = <span class="hljs-number">0.0</span>;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> x = <span class="hljs-number">0</span>; x &lt; TRAIN_SIZE; x++) &#123;<br>			sum += tgradient_w[x][i];<br>			<span class="hljs-comment">//printf(&quot;::gra%lf %d\n&quot;, tgradient_w[x][i], i);</span><br>		&#125;<br>		gradient_w[i] = sum / (<span class="hljs-type">double</span>)TRAIN_SIZE;<br>	&#125;<br>	<span class="hljs-comment">//printf(&quot;end avg\n&quot;);</span><br><br>	<span class="hljs-type">double</span> gradient_b = <span class="hljs-built_in">getavg</span>(tgradient_b, TRAIN_SIZE);<br>	<span class="hljs-comment">/*for (int i = 0; i &lt; TRAIN_SIZE; i++) &#123;</span><br><span class="hljs-comment">		free(tgradient_w[i]);</span><br><span class="hljs-comment">	&#125;</span><br><span class="hljs-comment">	free(tgradient_w);</span><br><span class="hljs-comment">	free(tgradient_b);</span><br><span class="hljs-comment">	free(z);*/</span><br>	<span class="hljs-comment">//printf(&quot;%lf\n&quot;, gradient_b);</span><br>	<span class="hljs-keyword">return</span> (Pair) &#123; gradient_w, gradient_b &#125;;<br>&#125;<br><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 更新权重w, b</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;gradient_w&quot;&gt;线性的回归的斜率&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;gradient_b&quot;&gt;线性回归的坐标轴位移&lt;/param&gt;</span><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">update</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> gradient_w[DATA_SIZE], <span class="hljs-type">const</span> <span class="hljs-type">double</span> gradient_b)</span> </span>&#123;<br>	<span class="hljs-keyword">if</span> (!init) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;网络未进行初始化！--update 错误代码：-4&quot;</span>);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">-4</span>);<br>	&#125;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		w[i] -= learningrate * gradient_w[i];<br>	&#125;<br>	b -= learningrate * gradient_b;<br>&#125;<br><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 训练主体</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;x&quot;&gt;数据集，大小为TRAIN_SIZE * DATA_SIZE&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;y&quot;&gt;标签集，大小为TRAIN_SIZE&lt;/param&gt;</span><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">train</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> x[TRAIN_SIZE][DATA_SIZE], <span class="hljs-type">const</span> <span class="hljs-type">double</span> y[TRAIN_SIZE])</span> </span>&#123;<br>	<span class="hljs-keyword">if</span> (!init) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;网络未进行初始化！--train 错误代码：-5&quot;</span>);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">-5</span>);<br>	&#125;<br>	<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;开始训练\n&quot;</span>);<br>	<span class="hljs-type">double</span> L = <span class="hljs-number">-1</span>;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; iterations; i++) &#123;<br>		<span class="hljs-keyword">if</span> (i == iterations * <span class="hljs-number">0.3</span>) &#123;<br>			learningrate /= <span class="hljs-number">2</span>;<br>		&#125;<br>		<span class="hljs-keyword">if</span> (i == iterations * <span class="hljs-number">0.5</span>) &#123;<br>			learningrate /= <span class="hljs-number">2</span>;<br>		&#125;<br>		<span class="hljs-keyword">if</span> (i == iterations * <span class="hljs-number">0.8</span>) &#123;<br>			learningrate /= <span class="hljs-number">2</span>;<br>		&#125;<br>		<span class="hljs-comment">//printf(&quot;进行forward \n&quot;);</span><br>		<span class="hljs-type">double</span> z[TRAIN_SIZE];<br>		forward(x, z);<br>		<span class="hljs-comment">//printf(&quot;计算loss \n&quot;);</span><br>		L = <span class="hljs-built_in">loss</span>(z, y)/<span class="hljs-number">100</span>;<br>		<span class="hljs-comment">/*for (int i = 0; i &lt; TRAIN_SIZE; i++) &#123;</span><br><span class="hljs-comment">			printf(&quot;%lf %lf\n&quot;, z[i], y[i]);</span><br><span class="hljs-comment">		&#125;*/</span><br><br>		<span class="hljs-comment">//printf(&quot;开始gradient \n&quot;);</span><br>		Pair pair = <span class="hljs-built_in">gradient</span>(x, y);<br>		<span class="hljs-type">double</span>* gradient_w = pair.first;<br>		<span class="hljs-type">double</span> gradient_b = pair.second;<br>		<span class="hljs-comment">//printf(&quot;进行更新\n&quot;);</span><br>		<span class="hljs-built_in">update</span>(gradient_w, gradient_b);<br>		<span class="hljs-keyword">if</span> ((i + <span class="hljs-number">1</span>) % log_step == <span class="hljs-number">0</span>) &#123;<br>			<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;&gt;  iter %d, loss %.10lf lr %lf\n&quot;</span>, i, L, learningrate);<br>		&#125;<br>	&#125;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;训练完成，共训练轮次：%d轮 最终得到的参数为：\n&quot;</span>, iterations);<br>	<span class="hljs-comment">//printf(&quot;************gradient_w************\n&quot;);</span><br>	<span class="hljs-built_in">printgradientw</span>();<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36mw[%2d] = %64.60lf\033[m\n&quot;</span>, i, w[i]);<br>	&#125;<br>	<span class="hljs-comment">//printf(&quot;\n************gradient_b************:\n&quot;);</span><br>	<span class="hljs-built_in">printgradientb</span>();<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m  b   = %64.60lf\033[m\n\n&quot;</span>, b);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;基于该参数的模型预测损失为：%lf\n&quot;</span>, L);<br>	<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;正在导出模型...\n&quot;</span>);<br>	FILE* fout = <span class="hljs-built_in">fopen</span>(<span class="hljs-string">&quot;train_finish.luoy&quot;</span>, <span class="hljs-string">&quot;w&quot;</span>);<br>	<span class="hljs-keyword">if</span> (fout == <span class="hljs-literal">NULL</span>) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;模型导出错误，程序即将退出&quot;</span>);<br>		<span class="hljs-built_in">system</span>(<span class="hljs-string">&quot;pause&quot;</span>);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">-12</span>);<br>	&#125;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		<span class="hljs-built_in">fprintf</span>(fout, <span class="hljs-string">&quot;%.60lf &quot;</span>, w[i]);<br>	&#125;<br>	<span class="hljs-built_in">fprintf</span>(fout, <span class="hljs-string">&quot;\n&quot;</span>);<br>	<span class="hljs-built_in">fprintf</span>(fout, <span class="hljs-string">&quot;%.60lf&quot;</span>, b);<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; LABELS; i++) &#123;<br>		<span class="hljs-built_in">fprintf</span>(fout,<span class="hljs-string">&quot;\n%lf %lf %lf&quot;</span>, maximums[i], minimums[i], avgs[i]);<br>	&#125;<br>	<span class="hljs-built_in">fclose</span>(fout);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;模型导出完成！\n&quot;</span>);<br>	<br>	<span class="hljs-built_in">printbye</span>(<span class="hljs-number">1</span>);<br>	<span class="hljs-built_in">printhello</span>(<span class="hljs-number">1</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;按任意键退出...\n&quot;</span>);<br>	<span class="hljs-built_in">system</span>(<span class="hljs-string">&quot;pause&quot;</span>);<br>&#125;<br><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">///////////////////////////__VECTORCOMPUTATION_H__///////////////////////////</span><br><span class="hljs-comment">//add, subtract, multiply and divide</span><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 两个DATA_SIZE大小的一纬向量相乘，返回一个两个向量每项乘积之和</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;x&quot;&gt;向量1&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;arr&quot;&gt;向量2&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;returns&gt;&lt;/returns&gt;</span><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">vectordot</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> x[DATA_SIZE], <span class="hljs-type">const</span> <span class="hljs-type">double</span> arr[DATA_SIZE])</span> </span>&#123;<br>	<span class="hljs-type">double</span> ans = <span class="hljs-number">0</span>;<br><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		ans += x[i] * arr[i];<br>	&#125;<br>	<span class="hljs-keyword">return</span> ans;<br>&#125;<br><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 两个一维向量相减，返回一维向量</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;x&quot;&gt;减数&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;y&quot;&gt;被减数&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;ans&quot;&gt;用于接收返回值的数组&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;returns&gt;&lt;/returns&gt;</span><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">vectorsub</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> x[TRAIN_SIZE], <span class="hljs-type">const</span> <span class="hljs-type">double</span> y[TRAIN_SIZE], <span class="hljs-type">double</span> ans[TRAIN_SIZE])</span> </span>&#123;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		ans[i] = x[i] - y[i];<br>	&#125;<br>&#125;<br><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 两个一维向量相乘</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;x&quot;&gt;向量1&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;y&quot;&gt;向量2&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;ans&quot;&gt;用于接收返回值的数组&lt;/param&gt;</span><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">vectormultiply</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> x[TRAIN_SIZE], <span class="hljs-type">const</span> <span class="hljs-type">double</span> y[TRAIN_SIZE], <span class="hljs-type">double</span> ans[TRAIN_SIZE])</span> </span>&#123;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		ans[i] = x[i] * y[i];<br>	&#125;<br>&#125;<br><br><br></code></pre></td></tr></table></figure>
+<hr>
+<blockquote>
+<p>预测部分：</p>
+<blockquote>
+<p>载入模型数据</p>
+<p>获取用于预测的数据</p>
+<p>基于模型参数对获取到的数据进行归一化处理</p>
+<p>获取预测结果（这里采用了写死的方式，没有进行复杂的操作）</p>
+</blockquote>
+</blockquote>
+<h1>预测源码</h1>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&quot;global_define.h&quot;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdio.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdlib.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;string.h&gt;</span></span><br><br><span class="hljs-keyword">struct</span> <span class="hljs-title class_">Model</span> &#123;<br>	<span class="hljs-type">double</span> w[DATA_SIZE];<br>	<span class="hljs-type">double</span> b;<br>&#125;model;<br><br><span class="hljs-type">const</span> <span class="hljs-type">char</span>* label_list[LABELS] = &#123;<br>	<span class="hljs-string">&quot;CRIM&quot;</span>,<span class="hljs-string">&quot;ZN&quot;</span>,<span class="hljs-string">&quot;INDUS&quot;</span>,<span class="hljs-string">&quot;CHAS&quot;</span>,<span class="hljs-string">&quot;NOX&quot;</span>,<span class="hljs-string">&quot;RM&quot;</span>,<br>	<span class="hljs-string">&quot;AGE&quot;</span>,<span class="hljs-string">&quot;DIS&quot;</span>,<span class="hljs-string">&quot;RAD&quot;</span>,<span class="hljs-string">&quot;TAX&quot;</span>,<span class="hljs-string">&quot;PTRATIO&quot;</span>,<span class="hljs-string">&quot;B&quot;</span>,<span class="hljs-string">&quot;LSTAT&quot;</span>,<span class="hljs-string">&quot;MEDV&quot;</span><br>&#125;;<br><span class="hljs-type">double</span> maximums[LABELS] = &#123; <span class="hljs-number">0.0</span> &#125;;<br><span class="hljs-type">double</span> minimums[LABELS] = &#123; <span class="hljs-number">0.0</span> &#125;;<br><span class="hljs-type">double</span> avgs[LABELS] = &#123; <span class="hljs-number">0.0</span> &#125;;<br><span class="hljs-type">double</span> predict_data[DATA_SIZE];<br><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">get_data</span><span class="hljs-params">()</span></span>;<br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">load_model</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">char</span>* file_path)</span></span>;<br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">predict</span><span class="hljs-params">()</span></span>;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	<span class="hljs-type">char</span> model[<span class="hljs-number">100</span>];<br>	<span class="hljs-built_in">printhello</span>(<span class="hljs-number">2</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;请输入要使用的模型(可以不带模型后缀,默认为train_finish.luoy)：&quot;</span>);<br>	<span class="hljs-built_in">gets_s</span>(model, <span class="hljs-number">100</span>);<br>	<span class="hljs-keyword">if</span> (<span class="hljs-built_in">strstr</span>(model, <span class="hljs-string">&quot;.luoy&quot;</span>) == <span class="hljs-literal">NULL</span>) &#123;<br>		<span class="hljs-built_in">strcat</span>(model, <span class="hljs-string">&quot;.luoy&quot;</span>);<br>	&#125;<br>	<span class="hljs-keyword">if</span> (<span class="hljs-built_in">strcmp</span>(model, <span class="hljs-string">&quot;&quot;</span>)) &#123;<br>		<span class="hljs-built_in">strcpy</span>(model, <span class="hljs-string">&quot;train_finish.luoy&quot;</span>);<br>	&#125;<br>	<span class="hljs-built_in">load_model</span>(model);<br>	<span class="hljs-built_in">get_data</span>();<br>	<span class="hljs-built_in">predict</span>();<br>	<span class="hljs-built_in">system</span>(<span class="hljs-string">&quot;pause&quot;</span>);<br><br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">get_data</span><span class="hljs-params">()</span> </span>&#123;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;请输入要预测的数据...\n&quot;</span>);<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;请输入%s：&quot;</span>, label_list[i]);<br>		<span class="hljs-built_in">scanf</span>(<span class="hljs-string">&quot;%lf&quot;</span>, &amp;predict_data[i]);<br>	&#125;<br>	<br>	<span class="hljs-comment">//归一化</span><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> y = <span class="hljs-number">0</span>; y &lt; DATA_SIZE; y++) &#123;<br>		<span class="hljs-keyword">if</span> (maximums[y] - minimums[y] == <span class="hljs-number">0</span>)<span class="hljs-keyword">continue</span>;<br>		predict_data[y] = (predict_data[y] - minimums[y]) / (maximums[y] - minimums[y]);<br>	&#125;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;数据获取完成\n&quot;</span>);<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">load_model</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">char</span>* file_path)</span> </span>&#123;<br>	FILE* file = <span class="hljs-built_in">fopen</span>(file_path, <span class="hljs-string">&quot;r&quot;</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;加载模型%s\n&quot;</span>, file_path);<br>	<span class="hljs-keyword">if</span> (file == <span class="hljs-literal">NULL</span>) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;未找到模型%s\n&quot;</span>, file_path);<br>		<span class="hljs-built_in">system</span>(<span class="hljs-string">&quot;pause&quot;</span>);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">1</span>);<br>	&#125;<br><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		<span class="hljs-built_in">fscanf</span>(file, <span class="hljs-string">&quot;%lf&quot;</span>, &amp;model.w[i]);<br>	&#125;<br>	<span class="hljs-built_in">fscanf</span>(file, <span class="hljs-string">&quot;%lf&quot;</span>, &amp;model.b);<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; LABELS; i++) &#123;<br>		<span class="hljs-built_in">fscanf</span>(file, <span class="hljs-string">&quot;%lf%lf%lf&quot;</span>, &amp;maximums[i], &amp;minimums[i], &amp;avgs[i]);<br>	&#125;<br>	<span class="hljs-built_in">fclose</span>(file);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;模型加载完成\n&quot;</span>);<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">predict</span><span class="hljs-params">()</span> </span>&#123;<br>	<span class="hljs-type">double</span> ans = <span class="hljs-number">0.0</span>;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		ans += predict_data[i] * model.w[i];<br>	&#125;<br>	ans += model.b;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;根据所给参数：\n&quot;</span>);<br>    <span class="hljs-comment">//这里采用了写死的方式，没有进行复杂的操作</span><br>    <span class="hljs-comment">//后面的+ -参数为当前训练数据的最优参数。</span><br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于99%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">7.2</span>, ans + <span class="hljs-number">7.2</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于98%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">6.04</span>, ans + <span class="hljs-number">6.04</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于97%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">5.77</span>, ans + <span class="hljs-number">5.77</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于94%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">5.1</span>, ans + <span class="hljs-number">5.1</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于91%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">4.59</span>, ans + <span class="hljs-number">4.59</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于89%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">4.2</span>, ans + <span class="hljs-number">4.2</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于83%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">3.9</span>, ans + <span class="hljs-number">3.9</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于76%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">3.6</span>, ans + <span class="hljs-number">3.6</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于67%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">3</span>, ans + <span class="hljs-number">3</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于60%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">2.6</span>, ans + <span class="hljs-number">2.6</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于50%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">2.08</span>, ans + <span class="hljs-number">2.08</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;该地区房价可能为%10lf\033[m\n&quot;</span>,ans);<br>	<span class="hljs-built_in">printbye</span>(<span class="hljs-number">2</span>);<br>	<span class="hljs-built_in">printhello</span>(<span class="hljs-number">2</span>);<br>&#125;<br><br></code></pre></td></tr></table></figure>
+<h1>训练数据housing.data</h1>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-number">41.529200</span> <span class="hljs-number">0.000000</span> <span class="hljs-number">18.100000</span> <span class="hljs-number">0.000000</span> <span class="hljs-number">0.693000</span> <span class="hljs-number">5.531000</span> <span class="hljs-number">85.400000</span> <span class="hljs-number">1.607400</span> <span class="hljs-number">24.000000</span> <span class="hljs-number">666.000000</span> <span class="hljs-number">20.200000</span> <span class="hljs-number">329.460000</span> <span class="hljs-number">27.380000</span> <span class="hljs-number">6.375000</span> <br><span class="hljs-number">67.920800</span> <span class="hljs-number">0.000000</span> <span class="hljs-number">18.100000</span> <span class="hljs-number">0.000000</span> <span class="hljs-number">0.693000</span> <span class="hljs-number">5.683000</span> <span class="hljs-number">100.000000</span> <span class="hljs-number">1.425400</span> <span class="hljs-number">24.000000</span> <span class="hljs-number">666.000000</span> <span class="hljs-number">20.200000</span> <span class="hljs-number">384.970000</span> <span class="hljs-number">22.980000</span> <span class="hljs-number">3.750000</span> <br><span class="hljs-number">20.716200</span> <span class="hljs-number">0.000000</span> <span class="hljs-number">18.100000</span> <span class="hljs-number">0.000000</span> <span class="hljs-number">0.659000</span> <span class="hljs-number">4.138000</span> <span class="hljs-number">100.000000</span> <span class="hljs-number">1.178100</span> <span class="hljs-number">24.000000</span> <span class="hljs-number">666.000000</span> <span class="hljs-number">20.200000</span> <span class="hljs-number">370.220000</span> <span class="hljs-number">23.340000</span> <span class="hljs-number">8.925000</span> <br><span class="hljs-number">11.951100</span> <span class="hljs-number">0.000000</span> <span class="hljs-number">18.100000</span> <span class="hljs-number">0.000000</span> <span class="hljs-number">0.659000</span> <span class="hljs-number">5.608000</span> <span class="hljs-number">100.000000</span> <span class="hljs-number">1.285200</span> <span class="hljs-number">24.000000</span> <span class="hljs-number">666.000000</span> <span class="hljs-number">20.200000</span> <span class="hljs-number">332.090000</span> <span class="hljs-number">12.130000</span> <span class="hljs-number">20.925000</span> <br><span class="hljs-number">7.403890</span> <span class="hljs-number">0.000000</span> <span class="hljs-number">18.100000</span> <span class="hljs-number">0.000000</span> <span class="hljs-number">0.597000</span> <span class="hljs-number">5.617000</span> <span class="hljs-number">97.900000</span> <span class="hljs-number">1.454700</span> <span class="hljs-number">24.000000</span> <span class="hljs-number">666.000000</span> <span class="hljs-number">20.200000</span> <span 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+]]></content>
+      <categories>
+        <category>C/C++</category>
+      </categories>
+      <tags>
+        <tag>神经网络</tag>
+      </tags>
+  </entry>
   <entry>
     <title>Linux普通用户不能使用TAB键、上下键</title>
     <url>/posts/40823.html</url>
@@ -1456,60 +1567,45 @@ CS(NSS) 片选管脚</p>
       </categories>
   </entry>
   <entry>
-    <title>Paddle环境搭建</title>
-    <url>/posts/50624.html</url>
-    <content><![CDATA[<blockquote>
-<p><strong>此文章以python的搭建为例</strong></p>
-</blockquote>
-<hr>
-<h1>一、安装Anaconda</h1>
-<p><a href="https://www.anaconda.com/">https://www.anaconda.com</a></p>
-<p><img src="/img/page/%E7%99%BE%E5%BA%A6Paddle/anaconda1.png" alt=""></p>
-<p><strong>注意勾选All User</strong></p>
-<p><img src="/img/page/%E7%99%BE%E5%BA%A6Paddle/anaconda1.png" alt=""></p>
-<p>这里<strong>最好是勾选第一个选项</strong>，其目的是将anaconda添加到系统变量中，这样我们可以直接通过cmd调用conda，更加方便</p>
-<p>然后你就可以使用anaconda来设置不同的环境</p>
-<p>比如这里我们建一个专门用于Paddle的环境(控制台输入)</p>
-<p><code>conda create -n PaddleDetection python==3.7</code>创建PaddleDetection环境，并要求其为python3.7版本</p>
-<p><code>conda activate PaddleDetection</code>进入所创建的PaddleDetection环境中</p>
-<p>![](/img/page/百度Paddle/conda activate.png)</p>
-<p>当目录左侧有（xxxxx）显示时，就表明你已进入该环境，可以基于该环境进行操作，pip install  / pip uninstall的操作也只会影响该环境</p>
-<p>注意：当左侧显示(base)时，这是默认环境</p>
-<hr>
-<h1>二、安装CUDA</h1>
-<h2 id="你的显卡必须是NVDIA显卡！！！">你的显卡必须是NVDIA显卡！！！</h2>
+    <title>NOIonline</title>
+    <url>/posts/34336.html</url>
+    <content><![CDATA[<h2 id="愤怒的小-N（angry）-CCF-NOI-Online-能力测试-提高组-2021第一题">愤怒的小 N（angry）-	CCF NOI Online 能力测试 提高组 2021第一题</h2>
+<p><strong>【题目描述】</strong><br>
+极度愤怒的小 N 通关了一款游戏来泄愤。<br>
+这款游戏共有 n 关，分别为第 0 关、第 1 关、第 2 关、···、第 n−1 关。这些关卡中有一些是普通关卡，另一些则是奖励关卡。 这款游戏中普通关卡与奖励关卡的分布比较特殊。如果用字符 a 表示普通关卡，用 字符 b 表示奖励关卡，那么第 0 关、第 1 关、第 2 关、···、第 n−1 关依次排列形成 的字符串是一个无穷字符串 s 的前缀，且 s 可以按照如下方式构造：</p>
 <blockquote>
-<p>你可以在<a href="https://developer.nvidia.com/%E6%89%BE%E5%88%B0CUDA%E7%9A%84%E4%B8%8B%E8%BD%BD">https://developer.nvidia.com/找到CUDA的下载</a></p>
-<p>但是请注意<strong>30系列的显卡必须使用CUDA11.0以上的版本</strong>，百度Paddle支持的版本为：CUDA 11.7 11.6 11.2 10.2</p>
+<ol>
+<li>初始时 s 为包含单个字符 a 的字符串。</li>
+<li>将 s 的每个字符 a 替换成字符 b，每个字符 b 替换成字符 a 得到字符串 t，然后 将 t 拼接到 s 后。</li>
+<li>不断执行 2. 得到的字符串就是最终的 s。</li>
+</ol>
 </blockquote>
-<p>CUDA安装时，请注意该界面：</p>
-<p><img src="/img/page/%E7%99%BE%E5%BA%A6Paddle/cuda.png" alt=""></p>
-<p>对于其中的展开项，如果<strong>当前版本比新版本要高</strong>，<strong>不需要勾选</strong></p>
-<p>当你完成的CUDA的安装，你还需要下载相应CUDA版本的cudnn，这样CUDA才能正常工作</p>
-<p><a href="https://developer.nvidia.cn/rdp/cudnn-archive">cuDNN Archive | NVIDIA 开发者</a></p>
-<p>将所下载的cudnn解压后的四个文件，复制到cuda的安装路径即可</p>
-<p><strong>请注意cudnn和CUDA版本的对应关系</strong></p>
-<p><img src="/img/page/%E7%99%BE%E5%BA%A6Paddle/cudnn.png" alt=""></p>
-<p>当你完成了上述安装步骤后，可以在cmd中输入<code>nvcc -V</code>来检验CUDA是否安装成功</p>
+<p>可以发现 s = abbabaabbaababba···，所以这款游戏的第 0 关是普通关卡，第 1 关 是奖励关卡，第 2 关是奖励关卡，第 3 关是普通关卡，以此类推。 通过游戏的第 i 关可以得到 f(i) 分，其中 f(x) = a0 + a1x + a2x2 +···+ ak−1xk−1 是一个固定的 k−1 次多项式。 小 N 通关时一气之下通过了所有奖励关卡而忽略了所有普通关卡，然后就把游戏 卸载了。现在回想起来，他想要知道他在卸载游戏前的总得分对 10⁹ + 7 取模后的结果。<br>
+<strong>【输入格式】</strong> 从文件 <a href="http://angry.in">angry.in</a> 中读入数据。 第一行一个正整数 n，表示游戏的关卡数目。为方便，n 以二进制表示给出。 第二行一个正整数 k，表示多项式的次数加一。 第三行 k 个非负整数，分别为 a0,a1,a2,…,ak−1，表示多项式的各项系数。<br>
+<strong>【输出格式】</strong> 输出到文件 angry.out 中。 一行一个非负整数，表示小 N 卸载游戏前的总得分对 109 + 7 取模后的结果。<br>
+<strong>【样例 1 输入】</strong><br>
+1 1000 2 3 3 3 2 1<br>
+<strong>【样例 1 输出】</strong><br>
+1 110<br>
+<strong>【样例 1 解释】</strong><br>
+这款游戏共有 8 关，通关第 i 关可以得到 (3 + 2i + i2) 分。第 1,2,4,7 关为奖励关， 小 N 通过这几关分别得到了 6,11,27,66 分，共 110 分。<br>
+<strong>【样例 2 输入】</strong></p>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">11111100101 <br>4<br>2 0 2 1<br></code></pre></td></tr></table></figure>
+<p><strong>【样例 2 输出】</strong></p>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">143901603<br></code></pre></td></tr></table></figure>
+<p><strong>【样例 3 输入】</strong></p>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">1001011001101001 <br>16<br>1 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1<br></code></pre></td></tr></table></figure>
+<p><strong>【样例 3 输出】</strong></p>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">184740992<br></code></pre></td></tr></table></figure>
+<p><strong>【数据范围与提示】</strong> 对于所有测试点：0 ≤log₂n &lt; 5×10⁵，1 ≤ k ≤ 500，0 ≤ ai &lt; 10⁹ + 7，a的第k-1项≠ 0。</p>
 <hr>
-<h1>三、安装Paddle</h1>
-<p><a href="https://www.paddlepaddle.org.cn/">飞桨PaddlePaddle-源于产业实践的开源深度学习平台</a></p>
-<p><img src="/img/page/%E7%99%BE%E5%BA%A6Paddle/paddle.png" alt=""></p>
-<p>复制所给命令运行即可**（最好是在我们第一步创建的PaddleDetection的独立环境中运行，这样可以保证环境之间的互不干扰）**</p>
-<p>执行命令，等待安装</p>
-<p>安装完成后，执行以下的Python代码，检查是否成功调用GPU资源</p>
-<figure class="highlight python"><table><tr><td class="code"><pre><code class="hljs python"><span class="hljs-keyword">import</span> paddle<br>paddle.utils.run_check()<br></code></pre></td></tr></table></figure>
-<p>出现：</p>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">PaddlePaddle works well on 1 GPU.<br>PaddlePaddle works well on 1 GPUs.<br>PaddlePaddle is installed successfully! Let&#x27;s start deep learning with PaddlePaddle now.<br></code></pre></td></tr></table></figure>
-<p><strong>意味着你已经完成了以上所有环境的配置！</strong></p>
+<h3 id="我的代码">我的代码</h3>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;iostream&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;string.h&gt;</span></span><br><span class="hljs-keyword">using</span> <span class="hljs-keyword">namespace</span> std;<br><span class="hljs-meta">#<span class="hljs-keyword">define</span> RLL register long long</span><br><span class="hljs-meta">#<span class="hljs-keyword">define</span> LL long long</span><br><span class="hljs-meta">#<span class="hljs-keyword">define</span> VALUE 1000000007</span><br><br><span class="hljs-type">int</span> n;<br><span class="hljs-type">int</span> x[<span class="hljs-number">512</span>],k;<br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">getn</span><span class="hljs-params">(LL num)</span></span>&#123;<br>	<span class="hljs-keyword">return</span> (num)?<span class="hljs-number">1</span>+<span class="hljs-built_in">getn</span>(num/<span class="hljs-number">10</span>):<span class="hljs-number">0</span>;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">BtoD</span><span class="hljs-params">(LL num)</span></span>&#123;<br>	<span class="hljs-type">int</span> dec=<span class="hljs-number">0</span>,i=<span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">while</span>(num)&#123;<br>		dec+=(num%<span class="hljs-number">10</span>)*(<span class="hljs-number">1</span>&lt;&lt;i++);<br>		num/=<span class="hljs-number">10</span>;<br>	&#125;<br>	<span class="hljs-keyword">return</span> dec;<br>&#125;<br><br><span class="hljs-comment">//这一一般的求幂（的模）</span><br><span class="hljs-function">LL <span class="hljs-title">normalExponentiation</span><span class="hljs-params">(<span class="hljs-type">int</span> base,<span class="hljs-type">int</span> power)</span></span>&#123;<br>    LL res=<span class="hljs-number">1</span>;<br>    <span class="hljs-keyword">for</span>(<span class="hljs-type">int</span> i=<span class="hljs-number">1</span>;i&lt;=power;i++)&#123;<br>        res*=base;<br>        res%=VALUE;<br>    &#125;<br>    <span class="hljs-keyword">return</span> res%VALUE;<br>&#125;<br><span class="hljs-comment">//老快了</span><br><span class="hljs-function">LL <span class="hljs-title">fastExponentiation</span><span class="hljs-params">(LL base,LL power)</span> </span>&#123;<br>    LL res = <span class="hljs-number">1</span>;<br>    <span class="hljs-keyword">while</span> (power &gt; <span class="hljs-number">0</span>) &#123;<br>        <span class="hljs-keyword">if</span> (power &amp; <span class="hljs-number">1</span>) &#123;<span class="hljs-comment">//此处等价于if(power%2==1)</span><br>            res = res * base % VALUE;<br>        &#125;<br>        power &gt;&gt;= <span class="hljs-number">1</span>;<span class="hljs-comment">//此处等价于power=power/2</span><br>        base = (base * base) % VALUE;<br>    &#125;<br>    <span class="hljs-keyword">return</span> res;<br>&#125;<br><br><span class="hljs-function">LL <span class="hljs-title">getScore</span><span class="hljs-params">(<span class="hljs-type">int</span> i)</span></span>&#123;<br>	<span class="hljs-comment">//第i个关卡</span><br>	LL res=<span class="hljs-number">0</span>,power;<br>	<span class="hljs-keyword">for</span>(<span class="hljs-type">int</span> l=<span class="hljs-number">0</span>;l&lt;k;l++)&#123;<br>		power=x[l];<br>		<span class="hljs-keyword">if</span>(x[l])<br>			res+=<span class="hljs-built_in">fastExponentiation</span>(i,l);<span class="hljs-comment">//比normalExponentiation快了好多好多好多好多 </span><br>	&#125;<br>	<span class="hljs-keyword">return</span> res;<br>&#125;<br><br><span class="hljs-function">string <span class="hljs-title">mades</span><span class="hljs-params">(string s)</span></span>&#123;<br>	string news=s;<br>	<span class="hljs-keyword">for</span>(<span class="hljs-type">int</span> i=<span class="hljs-number">0</span>;i&lt;n;i++)&#123;<br>		<span class="hljs-keyword">for</span>(<span class="hljs-type">int</span> j=<span class="hljs-number">0</span>;j&lt;s.<span class="hljs-built_in">size</span>();j++)<br>			news+=(s[j]==<span class="hljs-string">&#x27;a&#x27;</span>)?<span class="hljs-string">&quot;b&quot;</span>:<span class="hljs-string">&quot;a&quot;</span>;<br>		s=news;<br>	&#125;<br>	<span class="hljs-keyword">return</span> news;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	LL num;<br>	cin&gt;&gt;num&gt;&gt;k;<br>	n=<span class="hljs-built_in">getn</span>(num);<br>	<span class="hljs-keyword">for</span>(<span class="hljs-type">int</span> i=<span class="hljs-number">0</span>;i&lt;k;i++)cin&gt;&gt;x[i];<br>	string s=<span class="hljs-built_in">mades</span>(<span class="hljs-string">&quot;a&quot;</span>);<br>	RLL ScoreSum=<span class="hljs-number">0</span>;<br>	<span class="hljs-type">int</span> max=<span class="hljs-built_in">BtoD</span>(num);<br>	<span class="hljs-keyword">for</span>(<span class="hljs-type">int</span> i=<span class="hljs-number">0</span>;i&lt;max;i++)<br>		<span class="hljs-keyword">if</span>(s[i]==<span class="hljs-string">&#x27;b&#x27;</span>)&#123;<br>			ScoreSum+=<span class="hljs-built_in">getScore</span>(i);<br>		&#125;<br>	cout&lt;&lt;<span class="hljs-string">&quot;SUM:&quot;</span>&lt;&lt;ScoreSum%VALUE;<br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br></code></pre></td></tr></table></figure>
+<p><strong>这里的<em>fastExponentiation</em>其实有更好的方法，但是没从本子那边拿到（我自己也想不出来😥）</strong></p>
 ]]></content>
       <categories>
-        <category>Paddle</category>
+        <category>C++</category>
       </categories>
-      <tags>
-        <tag>Python</tag>
-        <tag>深度学习</tag>
-      </tags>
   </entry>
   <entry>
     <title>KEIL各版本镜像和STM的KeilPACK包下载</title>
@@ -2108,177 +2204,123 @@ CS(NSS) 片选管脚</p>
 <a href="http://www.oryx-embedded.com/download/pack/Oryx-Embedded.Middleware.1.7.4.pack">http://www.oryx-embedded.com/download/pack/Oryx-Embedded.Middleware.1.7.4.pack</a><br>
 <a href="https://realtimelogic.com/downloads/arm-mdk-packs/RealTimeLogic.SharkSSL-Lite.38.9.8.pack">https://realtimelogic.com/downloads/arm-mdk-packs/RealTimeLogic.SharkSSL-Lite.38.9.8.pack</a><br>
 <a href="https://realtimelogic.com/downloads/arm-mdk-packs/RealTimeLogic.SharkSSL-Lite.38.9.8.pack">https://realtimelogic.com/downloads/arm-mdk-packs/RealTimeLogic.SharkSSL-Lite.38.9.8.pack</a><br>
-<a href="https://realtimelogic.com/downloads/arm-mdk-packs/RealTimeLogic.SMQ.38.9.8.pack">https://realtimelogic.com/downloads/arm-mdk-packs/RealTimeLogic.SMQ.38.9.8.pack</a><br>
-<a href="https://realtimelogic.com/downloads/arm-mdk-packs/RealTimeLogic.SMQ.38.9.8.pack">https://realtimelogic.com/downloads/arm-mdk-packs/RealTimeLogic.SMQ.38.9.8.pack</a><br>
-<a href="http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F1_DFP.1.0.1.pack">http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F1_DFP.1.0.1.pack</a><br>
-<a href="http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F1_DFP.1.0.1.pack">http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F1_DFP.1.0.1.pack</a><br>
-<a href="http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F2_DFP.1.2.3.pack">http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F2_DFP.1.2.3.pack</a><br>
-<a href="http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F2_DFP.1.2.3.pack">http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F2_DFP.1.2.3.pack</a><br>
-<a href="http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F7_DFP.1.2.2.pack">http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F7_DFP.1.2.2.pack</a><br>
-<a href="http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F7_DFP.1.2.2.pack">http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F7_DFP.1.2.2.pack</a><br>
-<a href="http://software-dl.ti.com/msp430/msp430_public_sw/mcu/msp430/mspkeil/latest/exports/TexasInstruments.MSP432P4xx_DFP.2.2.1.pack">http://software-dl.ti.com/msp430/msp430_public_sw/mcu/msp430/mspkeil/latest/exports/TexasInstruments.MSP432P4xx_DFP.2.2.1.pack</a><br>
-<a href="http://software-dl.ti.com/msp430/msp430_public_sw/mcu/msp430/mspkeil/latest/exports/TexasInstruments.MSP432P4xx_DFP.2.2.1.pack">http://software-dl.ti.com/msp430/msp430_public_sw/mcu/msp430/mspkeil/latest/exports/TexasInstruments.MSP432P4xx_DFP.2.2.1.pack</a><br>
-<a href="http://www.ixys.com/Zilog/packs/Zilog.ZNEO32_DFP.1.0.2.pack">http://www.ixys.com/Zilog/packs/Zilog.ZNEO32_DFP.1.0.2.pack</a><br>
-<a href="http://www.ixys.com/Zilog/packs/Zilog.ZNEO32_DFP.1.0.2.pack">http://www.ixys.com/Zilog/packs/Zilog.ZNEO32_DFP.1.0.2.pack</a><br>
-我们提供的链接中，STM32F1系列并没有写2.2.0版本，如果想下载2.2.0版本怎么办呢，直接修改链接中版本号就行了，其它链接也是同理，Enjoy！</p>
-<p><img src="/img/page/stm32/%E8%8A%AF%E7%89%87%E4%B9%8B%E5%AE%B6.png" alt=""></p>
-<p><a href="https://mp.weixin.qq.com/s/hsxQFctG3LXMvCpxcRWE2g">芯片之家</a></p>
-]]></content>
-      <categories>
-        <category>KEIL</category>
-      </categories>
-  </entry>
-  <entry>
-    <title>C语言实现波士顿房价预测</title>
-    <url>/posts/37594.html</url>
-    <content><![CDATA[<p>波士顿房价预测是一个经典的机器学习任务，类似于程序员世界的“Hello World”。和大家对房价的普遍认知相同，波士顿地区的房价受诸多因素影响。该数据集统计了13种可能影响房价的因素和该类型房屋的均价，期望构建一个基于13个因素进行房价预测的模型，如 下图所示。</p>
-<p><img src="https://ai-studio-static-online.cdn.bcebos.com/abce0cb2a92f4e679c6855cfa520491597171533a0b0447e8d51d904446e213e" alt="波士顿房价影响因素示意图"></p>
-<p>对于预测问题，可以根据预测输出的类型是连续的实数值，还是离散的标签，区分为回归任务和分类任务。<strong>因为房价是一个连续值，所以房价预测显然是一个回归任务</strong>。下面我们尝试用最简单的<strong>线性回归模型</strong>解决这个问题，并用神经网络来实现这个模型。</p>
-<h2 id="线性回归模型">线性回归模型</h2>
-<p>假设房价和各影响因素之间能够用线性关系来描述：<br>
-$$<br>
-y = \sum_{j=1}^M w_jx_j + b (公式1)<br>
-$$<br>
-模型的求解即是通过数据拟合出每个$w_j$和$b$。其中，$w_j$和$b$分别表示该线性模型的权重和偏置。一维情况下，$w_j$ 和 $b$ 是直线的斜率和截距。</p>
-<p>线性回归模型使用<strong>均方误差</strong>作为损失函数（Loss），用以衡量预测房价和真实房价的差异，公式如下（其中$\widehat Y_i$为预测值 $Y_i$为实际值）：<br>
-$$<br>
-s = \frac{1}{n}\sum_{i=1}^n (\widehat Y_i - Y_i)^2 (公式2)<br>
-$$</p>
-<hr>
-<p><strong>思考：</strong></p>
-<p>为什么要以均方误差作为损失函数？即将模型在每个训练样本上的预测误差加和，来衡量整体样本的准确性。这是因为损失函数的设计不仅仅要考虑“合理性”，同样需要考虑“易解性”，这个问题在后面的内容中会详细阐述。</p>
-<hr>
-<p>神经网络的标准结构中每个神经元由加权和与非线性变换构成，然后将多个神经元分层的摆放并连接形成神经网络。线性回归模型可以认为是神经网络模型的一种极简特例，是一个只有加权和、没有非线性变换的神经元（无需形成网络），如 <strong>图2</strong> 所示。</p>
-<p><img src="https://ai-studio-static-online.cdn.bcebos.com/f9117a5a34d44b1eab85147e62b4e6295e485e48d79d4a03adaa14a447ffd230" alt="线性回归模型的神经网络结构"></p>
-<p><strong>以上内容复制自<a href="https://aistudio.baidu.com/aistudio/projectdetail/5984433">飞桨AI Studio - 人工智能学习与实训社区 (baidu.com)</a></strong></p>
-<hr>
-<h2 id="程序编写概要：">程序编写概要：</h2>
-<blockquote>
-<ol>
-<li>
-<p>编写一个 C 语言程序，基于以往房价影响数据训练出房价预测模型，从而预测以后房价。</p>
-</li>
-<li>
-<p>使用用户给出的housing.data数据，该数据每份有14项，前13项为房价影响因素，最后一项为同类型房价中位数。对获得数据进行归一化处理，确保步长不影响模型效果。</p>
-</li>
-<li>
-<p>使用输入层13层，隐藏层2层，输出层1层的简易神经网络。</p>
-</li>
-<li>
-<p>采用训练集：测试集=8：2。</p>
-</li>
-<li>
-<p>实现必要的错误检查和处理机制，防止无效的输入和计算。</p>
-</li>
-<li>
-<p>将程序按照模块化设计原则进行组织，使得代码结构清晰、易于理解和扩展。</p>
-</li>
-<li>
-<p>使用注释对程序进行说明，包括每个函数的作用、输入输出参数、算法思路等。</p>
-</li>
-<li>
-<p>程序的函数声明位于.h文件中，函数具体实现位于.c文件中。</p>
-</li>
-<li>
-<p>进行充分的测试，验证程序在各种情况下的正确性和稳定性。</p>
-</li>
-</ol>
-</blockquote>
-<h2 id="系统功能分析">系统功能分析</h2>
-<blockquote>
-<ol>
-<li>
-<p>系统分为四大块：数据分配模块、模型训练模块、模型质量检验模块、预测模块。</p>
-</li>
-<li>
-<p>使用如下神经网络架构实现房价预测模型的训练。</p>
-<blockquote>
-<p>输入层：13</p>
-<p>隐藏层：2</p>
-<p>输出层：1</p>
-</blockquote>
-</li>
-<li>
-<p>数据分配模块：应对整体数据按照8：2分类比分配，分别为训练集和测试集。</p>
-</li>
-<li>
-<p>模型训练模块：载入训练集，对训练集中的数据进行归一化处理后，获取相应数据集和标签集，对模型参数初始化后开始训练，训练的轮次及学习率需在训练前设置，模型训练完成后，导出模型。</p>
-</li>
-<li>
-<p>模型质量检验模块：导入训练好的模型，依照模型参数，对测试集中的数据进行归一化处理后，依照用户所给标准，检验模型质量。</p>
-</li>
-<li>
-<p>预测模块：导入训练好的模型，依照模型参数，对用户所给的数据进行归一化处理后，进行房价预测，并给出99%-50%预测下的房价区间。</p>
-</li>
-</ol>
-</blockquote>
-<h1>数据分配源码</h1>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&quot;global_define.h&quot;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdio.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdlib.h&gt;</span></span><br><br><span class="hljs-type">double</span> data[SIZE][LABELS];<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;请输入数据文件路径：&quot;</span>);<br>	<span class="hljs-type">char</span> datafile[<span class="hljs-number">101</span>];<br>	<span class="hljs-built_in">scanf</span>(<span class="hljs-string">&quot;%s&quot;</span>, datafile);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;开始载入数据...\n&quot;</span>);<br>	FILE* fdata = <span class="hljs-built_in">fopen</span>(datafile, <span class="hljs-string">&quot;r&quot;</span>);<br>	<span class="hljs-keyword">if</span> (fdata == <span class="hljs-literal">NULL</span>) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;文件%s打开失败，程序即将退出..&quot;</span>, datafile);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">-11</span>);<br>	&#125;<br>	<span class="hljs-type">int</span> ysize = <span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">while</span> (!<span class="hljs-built_in">feof</span>(fdata)) &#123;<br>		<span class="hljs-comment">//按着每行14份数据为一组进行分割</span><br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; LABELS; i++) &#123;<br>			<span class="hljs-comment">//fscanf_s(fdata, &quot;%lf&quot;, &amp;data[ysize][i]);</span><br>			<span class="hljs-built_in">fscanf</span>(fdata, <span class="hljs-string">&quot;%lf&quot;</span>, &amp;data[ysize][i]);<br>		&#125;<br>		ysize++;<br>	&#125;<br>	<span class="hljs-built_in">fclose</span>(fdata);<br><br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;开始分配训练数据...\n&quot;</span>);<br>	FILE* train = <span class="hljs-built_in">fopen</span>(<span class="hljs-string">&quot;train.data&quot;</span>, <span class="hljs-string">&quot;w&quot;</span>);<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		<span class="hljs-keyword">if</span> (i)<span class="hljs-built_in">fprintf</span>(train, <span class="hljs-string">&quot;\n&quot;</span>);<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = <span class="hljs-number">0</span>; j &lt; LABELS; j++) &#123;<br>			<span class="hljs-built_in">fprintf</span>(train, <span class="hljs-string">&quot;%lf &quot;</span>, data[i][j]);<br>		&#125;<br>	&#125;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;训练数据分配完毕！.\n&quot;</span>);<br>	<span class="hljs-built_in">fclose</span>(train);<br><br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;开始分配测试数据...\n&quot;</span>);<br>	FILE* eval = <span class="hljs-built_in">fopen</span>(<span class="hljs-string">&quot;eval.data&quot;</span>, <span class="hljs-string">&quot;w&quot;</span>);<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; EVAL_SIZE; i++) &#123;<br>		<span class="hljs-keyword">if</span>(i)<span class="hljs-built_in">fprintf</span>(eval, <span class="hljs-string">&quot;\n&quot;</span>);<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = <span class="hljs-number">0</span>; j &lt; LABELS; j++) &#123;<br>			<span class="hljs-built_in">fprintf</span>(eval, <span class="hljs-string">&quot;%lf &quot;</span>, data[i + TRAIN_SIZE][j]);<br>		&#125;<br>	&#125;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;测试数据分配完毕！\n&quot;</span>);<br>	<span class="hljs-built_in">fclose</span>(eval);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;数据处理完成！\n&quot;</span>);<br>	<span class="hljs-built_in">system</span>(<span class="hljs-string">&quot;pause&quot;</span>);<br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br><br><br></code></pre></td></tr></table></figure>
-<hr>
-<h1>训练源码</h1>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&quot;global_define.h&quot;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdio.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdlib.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;math.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">define</span> M_PI 3.14159265358979323846</span><br><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">normal_random</span><span class="hljs-params">()</span> </span>&#123;<br>	<span class="hljs-type">double</span> u1 = <span class="hljs-built_in">rand</span>() / (RAND_MAX + <span class="hljs-number">1.0</span>);<br>	<span class="hljs-type">double</span> u2 = <span class="hljs-built_in">rand</span>() / (RAND_MAX + <span class="hljs-number">1.0</span>);<br>	<span class="hljs-type">double</span> z = <span class="hljs-built_in">sqrt</span>(<span class="hljs-number">-2.0</span> * <span class="hljs-built_in">log</span>(u1)) * <span class="hljs-built_in">sin</span>(<span class="hljs-number">2.0</span> * M_PI * u2);<br>	<span class="hljs-keyword">return</span> z;<br>&#125;<br><span class="hljs-keyword">struct</span> <span class="hljs-title class_">Pair</span> &#123;<br>	<span class="hljs-type">double</span>* first;<br>	<span class="hljs-type">double</span> second;<br>&#125;;<br><br><span class="hljs-keyword">typedef</span> <span class="hljs-keyword">struct</span> <span class="hljs-title class_">Pair</span> Pair;<br><span class="hljs-type">const</span> <span class="hljs-type">int</span> iterations = <span class="hljs-number">40000</span>;<br><span class="hljs-type">const</span> <span class="hljs-type">int</span> log_step = <span class="hljs-number">50</span>;<br><span class="hljs-type">double</span> learningrate = <span class="hljs-number">0.00125</span>;<br><span class="hljs-type">double</span> data[SIZE][LABELS];<br><span class="hljs-type">double</span> train_data[TRAIN_SIZE][LABELS];<br><span class="hljs-type">double</span> maximums[LABELS] = &#123; <span class="hljs-number">0.0</span> &#125;;<br><span class="hljs-type">double</span> minimums[LABELS] = &#123; <span class="hljs-number">0.0</span> &#125;;<br><span class="hljs-type">double</span> avgs[LABELS] = &#123; <span class="hljs-number">0.0</span> &#125;;<br><span class="hljs-type">int</span> init = <span class="hljs-number">0</span>;<br><span class="hljs-type">double</span> w[DATA_SIZE] = &#123;<br>	<span class="hljs-number">1.76405235</span>,<br>	<span class="hljs-number">0.40015721</span>,<br>	<span class="hljs-number">0.97873798</span>,<br>	<span class="hljs-number">2.2408932</span>,<br>	<span class="hljs-number">1.86755799</span>,<br>	<span class="hljs-number">-0.97727788</span>,<br>	<span class="hljs-number">0.95008842</span>,<br>	<span class="hljs-number">-0.15135721</span>,<br>	<span class="hljs-number">-0.10321885</span>,<br>	<span class="hljs-number">0.4105985</span>,<br>	<span class="hljs-number">0.14404357</span>,<br>	<span class="hljs-number">1.45427351</span>,<br>	<span class="hljs-number">0.76103773</span>, &#125;;<br><span class="hljs-type">double</span> b = <span class="hljs-number">0</span>;<br><span class="hljs-comment">////////////////////////////</span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&quot;array.h&quot;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&quot;dataprocess.h&quot;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&quot;Network.h&quot;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&quot;vectorcomputation.h&quot;</span></span><br><span class="hljs-comment">////////////////////////////</span><br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	<span class="hljs-built_in">printhello</span>(<span class="hljs-number">1</span>);<br>	<span class="hljs-built_in">load_data</span>();<br>	<span class="hljs-comment">//数据集 TRAIN_SIZE * SIZE</span><br>	<span class="hljs-type">double</span> x[TRAIN_SIZE][DATA_SIZE];<br>	<span class="hljs-comment">//double** x = (double**)malloc(sizeof(double*) * TRAIN_SIZE);</span><br>	<span class="hljs-comment">//for (int i = 0; i &lt; TRAIN_SIZE; i++) &#123;</span><br>	<span class="hljs-comment">//	x[i] = (double*)malloc(SIZE * sizeof(double));</span><br>	<span class="hljs-comment">//&#125;</span><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = <span class="hljs-number">0</span>; j &lt; DATA_SIZE; j++) &#123;<br>			x[i][j] = train_data[i][j];<br>		&#125;<br>	&#125;<br><br>	<span class="hljs-comment">//标签集 TRAIN_SIZE * 1</span><br>	<span class="hljs-type">double</span> y[TRAIN_SIZE];<br>	<span class="hljs-comment">//double* y = (double*)malloc(sizeof(double) * TRAIN_SIZE);</span><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		y[i] = train_data[i][DATA_SIZE];<br>	&#125;<br>	__init__();<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;按下任意按键以开始训练...\n&quot;</span>);<br>	<span class="hljs-built_in">system</span>(<span class="hljs-string">&quot;pause&quot;</span>);<br><br>	<span class="hljs-built_in">train</span>(x, y);<br><br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br><br><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">////////////////////////////////__ARRAY_H__//////////////////////////////////</span><br><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">getsum</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span>* arr, <span class="hljs-type">const</span> <span class="hljs-type">int</span> size)</span> </span>&#123;<br>	<span class="hljs-type">double</span> ans = <span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; size; i++) &#123;<br>		ans += arr[i];<br>	&#125;<br>	<span class="hljs-keyword">return</span> ans;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">getavg</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span>* arr, <span class="hljs-type">const</span> <span class="hljs-type">int</span> size)</span> </span>&#123;<br>	<span class="hljs-keyword">return</span> <span class="hljs-built_in">getsum</span>(arr, size) / (<span class="hljs-type">double</span>)size;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">getmax_col</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> arr[TRAIN_SIZE][LABELS], <span class="hljs-type">const</span> <span class="hljs-type">int</span> col)</span> </span>&#123;<br>	<span class="hljs-type">double</span> ans = <span class="hljs-number">-23333</span>;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		<span class="hljs-keyword">if</span> (arr[i][col] &gt; ans) &#123;<br>			ans = arr[i][col];<br>		&#125;<br>	&#125;<br><br>	<span class="hljs-keyword">return</span> ans;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">getmin_col</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> arr[TRAIN_SIZE][LABELS], <span class="hljs-type">const</span> <span class="hljs-type">int</span> col)</span> </span>&#123;<br>	<span class="hljs-type">double</span> ans = <span class="hljs-number">23333</span>;<br><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		<span class="hljs-keyword">if</span> (arr[i][col] &lt; ans) &#123;<br>			ans = arr[i][col];<br>		&#125;<br>	&#125;<br><br>	<span class="hljs-keyword">return</span> ans;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">getsum_row</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> arr[TRAIN_SIZE][LABELS], <span class="hljs-type">const</span> <span class="hljs-type">int</span> col)</span> </span>&#123;<br>	<span class="hljs-type">double</span> ans = <span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		ans += arr[i][col];<br>	&#125;<br>	<span class="hljs-keyword">return</span> ans;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">getavg_col</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> arr[TRAIN_SIZE][LABELS], <span class="hljs-type">const</span> <span class="hljs-type">int</span> col)</span> </span>&#123;<br>	<span class="hljs-keyword">return</span> <span class="hljs-built_in">getsum_row</span>(arr, col) / (<span class="hljs-type">double</span>)TRAIN_SIZE;<br>&#125;<br><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////__DATAPROCESS_H__///////////////////////////////</span><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">load_data</span><span class="hljs-params">()</span> </span>&#123;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;开始载入数据...\n&quot;</span>);<br>	<span class="hljs-type">const</span> <span class="hljs-type">char</span>* datafile = <span class="hljs-string">&quot;train.data&quot;</span>;<br>	FILE* fdata = <span class="hljs-built_in">fopen</span>(datafile, <span class="hljs-string">&quot;r&quot;</span>);<br>	<span class="hljs-keyword">if</span> (fdata == <span class="hljs-literal">NULL</span>) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;文件%s打开失败，程序即将退出..&quot;</span>, datafile);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">-11</span>);<br>	&#125;<br>	<span class="hljs-type">int</span> ysize = <span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">while</span> (!<span class="hljs-built_in">feof</span>(fdata)) &#123;<br>		<span class="hljs-comment">//按着每行14份数据为一组进行分割</span><br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; LABELS; i++) &#123;<br>			<span class="hljs-built_in">fscanf</span>(fdata, <span class="hljs-string">&quot;%lf&quot;</span>, &amp;data[ysize][i]);<br>		&#125;<br>		ysize++;<br>	&#125;<br><br>	<span class="hljs-built_in">fclose</span>(fdata);<br><br>	<span class="hljs-comment">//	copy(data, data_slice, 0, 0, TRAIN_SIZE, LABELS);</span><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = <span class="hljs-number">0</span>; j &lt; LABELS; j++) &#123;<br>			train_data[i][j] = data[i][j];<br>		&#125;<br>	&#125;<br><br>	<span class="hljs-comment">//for (int i = 0; i &lt; TRAIN_SIZE * LABELS; i++) &#123;</span><br>	<span class="hljs-comment">//	printf(&quot;%lf &quot;, train_data[i / 14][i % 14]);</span><br>	<span class="hljs-comment">//	if (i % 14 == 0)printf(&quot;\n&quot;);</span><br>	<span class="hljs-comment">//&#125;</span><br><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; LABELS; i++) &#123;<br>		maximums[i] = <span class="hljs-built_in">getmax_col</span>(train_data, i);<br>		minimums[i] = <span class="hljs-built_in">getmin_col</span>(train_data, i);<br>		avgs[i] = <span class="hljs-built_in">getavg_col</span>(train_data, i);<br>		<span class="hljs-comment">//printf(&quot;%lf %lf %lf\n&quot;, maximums[i], minimums[i], avgs[i]);</span><br>	&#125;<br>	<br>	<span class="hljs-comment">//归一化</span><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> x = <span class="hljs-number">0</span>; x &lt; TRAIN_SIZE; x++) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> y = <span class="hljs-number">0</span>; y &lt; DATA_SIZE; y++) &#123;<br>			<span class="hljs-keyword">if</span> (maximums[y] - minimums[y] == <span class="hljs-number">0</span>)<span class="hljs-keyword">continue</span>;<br>			data[x][y] = (data[x][y] - minimums[y]) / (maximums[y] - minimums[y]);<br>		&#125;<br>	&#125;<br><br>	<span class="hljs-comment">/*for (int y = 0; y &lt; TRAIN_SIZE; y++) &#123;</span><br><span class="hljs-comment">		printf(&quot;%.5lf &quot;, data[y][0]);</span><br><span class="hljs-comment">	&#125;</span><br><span class="hljs-comment">	printf(&quot;\n&quot;);*/</span><br><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = <span class="hljs-number">0</span>; j &lt; LABELS; j++) &#123;<br>			train_data[i][j] = data[i][j];<br>		&#125;<br>	&#125;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;数据载入完成\n&quot;</span>);<br>&#125;<br><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">///////////////////////////////__NETWORK_H__/////////////////////////////////</span><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 初始化</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-type">void</span> __init__() &#123;<br>	init = <span class="hljs-number">1</span>;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;***w***\n&quot;</span>);<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		<span class="hljs-comment">//w[i] = 1.0 * normal_random();</span><br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;%.2lf &quot;</span>, w[i]);<br>	&#125;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\n&quot;</span>);<br>	b = <span class="hljs-number">0.0</span>;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;初始化完成\n&quot;</span>);<br>&#125;<br><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 前向计算</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;x&quot;&gt;数据集，大小为TRAIN_SIZE * DATA_SIZE&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;z&quot;&gt;用于接受返回值的数组，其值为基于当前w b计算得来的预测值&lt;/param&gt;</span><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">forward</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> x[TRAIN_SIZE][DATA_SIZE], <span class="hljs-type">double</span> z[TRAIN_SIZE])</span> </span>&#123;<br>	<span class="hljs-keyword">if</span> (!init) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;网络未进行初始化！--forward 错误代码：-1&quot;</span>);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">-1</span>);<br>	&#125;<br><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		z[i] = <span class="hljs-built_in">vectordot</span>(x[i], w) + b;<br>		<span class="hljs-comment">//printf(&quot;%lf\n&quot;,z[i]);</span><br>	&#125;<br>&#125;<br><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 计算损失</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;z&quot;&gt;当前w b下的预测值[将用于与标签值比较]，大小为TRAIN_SIZE&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;y&quot;&gt;标签值，大小为TRAIN_SIZE&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;returns&gt;一个double，代表预测值与实际值的误差，误差越小，返回值越小&lt;/returns&gt;</span><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">loss</span><span class="hljs-params">(<span class="hljs-type">double</span> z[TRAIN_SIZE],<span class="hljs-type">const</span> <span class="hljs-type">double</span> y[TRAIN_SIZE])</span> </span>&#123;<br>	<span class="hljs-keyword">if</span> (!init) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;网络未进行初始化！--loss 错误代码：-2&quot;</span>);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">-2</span>);<br>	&#125;<br>	<span class="hljs-comment">//printf(&quot;::vectorsub &quot;);</span><br>	<span class="hljs-type">double</span> error[TRAIN_SIZE];<br>	<span class="hljs-built_in">vectorsub</span>(z, y, error);<br>	<span class="hljs-comment">/*for (int i = 0; i &lt; TRAIN_SIZE; i++) &#123;</span><br><span class="hljs-comment">		printf(&quot;%lf &quot;, z[i]);</span><br><span class="hljs-comment">	&#125;</span><br><span class="hljs-comment">	printf(&quot;\n&quot;);*/</span><br><br>	<span class="hljs-comment">//printf(&quot;::vectormultiply  &quot;);</span><br>	<span class="hljs-type">double</span> cost[TRAIN_SIZE];<br>	<span class="hljs-built_in">vectormultiply</span>(error, error, cost);<br>	<br>	<span class="hljs-comment">/*for (int i = 0; i &lt; TRAIN_SIZE; i++) &#123;</span><br><span class="hljs-comment">		printf(&quot;%.3lf &quot;, cost[i]);</span><br><span class="hljs-comment">	&#125;</span><br><span class="hljs-comment">	printf(&quot;\n***********************************\n&quot;);*/</span><br>	<br>	<span class="hljs-type">double</span> dcost = <span class="hljs-built_in">getavg</span>(cost, TRAIN_SIZE);<br><br>	<span class="hljs-keyword">return</span> dcost;<br>&#125;<br><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 梯度计算</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;x&quot;&gt;数据集，大小为TRAIN_SIZE * DATA_SIZE&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;y&quot;&gt;标签集，大小为TRAIN_SIZE&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;returns&gt;返回Pair 第一项为梯度w 第二项为梯度b&lt;/returns&gt;</span><br><span class="hljs-function">Pair <span class="hljs-title">gradient</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> x[TRAIN_SIZE][DATA_SIZE], <span class="hljs-type">const</span> <span class="hljs-type">double</span> y[TRAIN_SIZE])</span> </span>&#123;<br>	<span class="hljs-keyword">if</span> (!init) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;网络未进行初始化！--gradient 错误代码：-3&quot;</span>);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">-3</span>);<br>	&#125;<br>	<span class="hljs-comment">//printf(&quot;gradient::forward\n&quot;);</span><br>	<span class="hljs-comment">//z : 404 * 1</span><br>	<span class="hljs-comment">//y : 404 * 1</span><br>	<span class="hljs-comment">//x : 404 * 13</span><br>	<span class="hljs-type">double</span> z[TRAIN_SIZE];<br>	forward(x, z);<br>	<span class="hljs-comment">/*for (int i = 0; i &lt; TRAIN_SIZE; i++) &#123;</span><br><span class="hljs-comment">		printf(&quot;%.3lf &quot;, z[i]);</span><br><span class="hljs-comment">	&#125;</span><br><span class="hljs-comment">	printf(&quot;\n&quot;);*/</span><br><br><br>	<span class="hljs-comment">//printf(&quot;gradient::sub\n&quot;);</span><br>	<span class="hljs-type">double</span> tgradient_b[TRAIN_SIZE];<br><br>	<span class="hljs-built_in">vectorsub</span>(z, y, tgradient_b);<br><br>	<span class="hljs-comment">/*for (int i = 0; i &lt; TRAIN_SIZE; i++) &#123;</span><br><span class="hljs-comment">		printf(&quot;%lf %d\n&quot;, tgradient_b[i], i);</span><br><span class="hljs-comment">	&#125;*/</span><br><br>	<span class="hljs-comment">//printf(&quot;gradient::multiply2\n&quot;);</span><br>	<br>	<span class="hljs-type">double</span> tgradient_w[TRAIN_SIZE][DATA_SIZE];<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = <span class="hljs-number">0</span>; j &lt; DATA_SIZE; j++) &#123;<br>			tgradient_w[i][j] = tgradient_b[i] * x[i][j];<br>			<span class="hljs-comment">//printf(&quot;%.2lf &quot;, tgradient_w[i][j]);</span><br>		&#125;<br>		<span class="hljs-comment">//printf(&quot;\n&quot;);</span><br>	&#125;<br><br>	<span class="hljs-comment">//for (int i = 0; i &lt; TRAIN_SIZE; i++) &#123;</span><br>	<span class="hljs-comment">//	vectormultiply(tgradient_b, x[i], tgradient_w[i]);</span><br>	<span class="hljs-comment">//&#125;</span><br><br>	<span class="hljs-comment">//printf(&quot;end multiply\n&quot;);</span><br><br>	<span class="hljs-type">double</span> gradient_w[DATA_SIZE];<br>	<span class="hljs-comment">//列均值</span><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		<span class="hljs-type">double</span> sum = <span class="hljs-number">0.0</span>;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> x = <span class="hljs-number">0</span>; x &lt; TRAIN_SIZE; x++) &#123;<br>			sum += tgradient_w[x][i];<br>			<span class="hljs-comment">//printf(&quot;::gra%lf %d\n&quot;, tgradient_w[x][i], i);</span><br>		&#125;<br>		gradient_w[i] = sum / (<span class="hljs-type">double</span>)TRAIN_SIZE;<br>	&#125;<br>	<span class="hljs-comment">//printf(&quot;end avg\n&quot;);</span><br><br>	<span class="hljs-type">double</span> gradient_b = <span class="hljs-built_in">getavg</span>(tgradient_b, TRAIN_SIZE);<br>	<span class="hljs-comment">/*for (int i = 0; i &lt; TRAIN_SIZE; i++) &#123;</span><br><span class="hljs-comment">		free(tgradient_w[i]);</span><br><span class="hljs-comment">	&#125;</span><br><span class="hljs-comment">	free(tgradient_w);</span><br><span class="hljs-comment">	free(tgradient_b);</span><br><span class="hljs-comment">	free(z);*/</span><br>	<span class="hljs-comment">//printf(&quot;%lf\n&quot;, gradient_b);</span><br>	<span class="hljs-keyword">return</span> (Pair) &#123; gradient_w, gradient_b &#125;;<br>&#125;<br><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 更新权重w, b</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;gradient_w&quot;&gt;线性的回归的斜率&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;gradient_b&quot;&gt;线性回归的坐标轴位移&lt;/param&gt;</span><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">update</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> gradient_w[DATA_SIZE], <span class="hljs-type">const</span> <span class="hljs-type">double</span> gradient_b)</span> </span>&#123;<br>	<span class="hljs-keyword">if</span> (!init) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;网络未进行初始化！--update 错误代码：-4&quot;</span>);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">-4</span>);<br>	&#125;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		w[i] -= learningrate * gradient_w[i];<br>	&#125;<br>	b -= learningrate * gradient_b;<br>&#125;<br><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 训练主体</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;x&quot;&gt;数据集，大小为TRAIN_SIZE * DATA_SIZE&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;y&quot;&gt;标签集，大小为TRAIN_SIZE&lt;/param&gt;</span><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">train</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> x[TRAIN_SIZE][DATA_SIZE], <span class="hljs-type">const</span> <span class="hljs-type">double</span> y[TRAIN_SIZE])</span> </span>&#123;<br>	<span class="hljs-keyword">if</span> (!init) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;网络未进行初始化！--train 错误代码：-5&quot;</span>);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">-5</span>);<br>	&#125;<br>	<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;开始训练\n&quot;</span>);<br>	<span class="hljs-type">double</span> L = <span class="hljs-number">-1</span>;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; iterations; i++) &#123;<br>		<span class="hljs-keyword">if</span> (i == iterations * <span class="hljs-number">0.3</span>) &#123;<br>			learningrate /= <span class="hljs-number">2</span>;<br>		&#125;<br>		<span class="hljs-keyword">if</span> (i == iterations * <span class="hljs-number">0.5</span>) &#123;<br>			learningrate /= <span class="hljs-number">2</span>;<br>		&#125;<br>		<span class="hljs-keyword">if</span> (i == iterations * <span class="hljs-number">0.8</span>) &#123;<br>			learningrate /= <span class="hljs-number">2</span>;<br>		&#125;<br>		<span class="hljs-comment">//printf(&quot;进行forward \n&quot;);</span><br>		<span class="hljs-type">double</span> z[TRAIN_SIZE];<br>		forward(x, z);<br>		<span class="hljs-comment">//printf(&quot;计算loss \n&quot;);</span><br>		L = <span class="hljs-built_in">loss</span>(z, y)/<span class="hljs-number">100</span>;<br>		<span class="hljs-comment">/*for (int i = 0; i &lt; TRAIN_SIZE; i++) &#123;</span><br><span class="hljs-comment">			printf(&quot;%lf %lf\n&quot;, z[i], y[i]);</span><br><span class="hljs-comment">		&#125;*/</span><br><br>		<span class="hljs-comment">//printf(&quot;开始gradient \n&quot;);</span><br>		Pair pair = <span class="hljs-built_in">gradient</span>(x, y);<br>		<span class="hljs-type">double</span>* gradient_w = pair.first;<br>		<span class="hljs-type">double</span> gradient_b = pair.second;<br>		<span class="hljs-comment">//printf(&quot;进行更新\n&quot;);</span><br>		<span class="hljs-built_in">update</span>(gradient_w, gradient_b);<br>		<span class="hljs-keyword">if</span> ((i + <span class="hljs-number">1</span>) % log_step == <span class="hljs-number">0</span>) &#123;<br>			<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;&gt;  iter %d, loss %.10lf lr %lf\n&quot;</span>, i, L, learningrate);<br>		&#125;<br>	&#125;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;训练完成，共训练轮次：%d轮 最终得到的参数为：\n&quot;</span>, iterations);<br>	<span class="hljs-comment">//printf(&quot;************gradient_w************\n&quot;);</span><br>	<span class="hljs-built_in">printgradientw</span>();<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36mw[%2d] = %64.60lf\033[m\n&quot;</span>, i, w[i]);<br>	&#125;<br>	<span class="hljs-comment">//printf(&quot;\n************gradient_b************:\n&quot;);</span><br>	<span class="hljs-built_in">printgradientb</span>();<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m  b   = %64.60lf\033[m\n\n&quot;</span>, b);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;基于该参数的模型预测损失为：%lf\n&quot;</span>, L);<br>	<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;正在导出模型...\n&quot;</span>);<br>	FILE* fout = <span class="hljs-built_in">fopen</span>(<span class="hljs-string">&quot;train_finish.luoy&quot;</span>, <span class="hljs-string">&quot;w&quot;</span>);<br>	<span class="hljs-keyword">if</span> (fout == <span class="hljs-literal">NULL</span>) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;模型导出错误，程序即将退出&quot;</span>);<br>		<span class="hljs-built_in">system</span>(<span class="hljs-string">&quot;pause&quot;</span>);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">-12</span>);<br>	&#125;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		<span class="hljs-built_in">fprintf</span>(fout, <span class="hljs-string">&quot;%.60lf &quot;</span>, w[i]);<br>	&#125;<br>	<span class="hljs-built_in">fprintf</span>(fout, <span class="hljs-string">&quot;\n&quot;</span>);<br>	<span class="hljs-built_in">fprintf</span>(fout, <span class="hljs-string">&quot;%.60lf&quot;</span>, b);<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; LABELS; i++) &#123;<br>		<span class="hljs-built_in">fprintf</span>(fout,<span class="hljs-string">&quot;\n%lf %lf %lf&quot;</span>, maximums[i], minimums[i], avgs[i]);<br>	&#125;<br>	<span class="hljs-built_in">fclose</span>(fout);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;模型导出完成！\n&quot;</span>);<br>	<br>	<span class="hljs-built_in">printbye</span>(<span class="hljs-number">1</span>);<br>	<span class="hljs-built_in">printhello</span>(<span class="hljs-number">1</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;按任意键退出...\n&quot;</span>);<br>	<span class="hljs-built_in">system</span>(<span class="hljs-string">&quot;pause&quot;</span>);<br>&#125;<br><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">///////////////////////////__VECTORCOMPUTATION_H__///////////////////////////</span><br><span class="hljs-comment">//add, subtract, multiply and divide</span><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 两个DATA_SIZE大小的一纬向量相乘，返回一个两个向量每项乘积之和</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;x&quot;&gt;向量1&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;arr&quot;&gt;向量2&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;returns&gt;&lt;/returns&gt;</span><br><span class="hljs-function"><span class="hljs-type">double</span> <span class="hljs-title">vectordot</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> x[DATA_SIZE], <span class="hljs-type">const</span> <span class="hljs-type">double</span> arr[DATA_SIZE])</span> </span>&#123;<br>	<span class="hljs-type">double</span> ans = <span class="hljs-number">0</span>;<br><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		ans += x[i] * arr[i];<br>	&#125;<br>	<span class="hljs-keyword">return</span> ans;<br>&#125;<br><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 两个一维向量相减，返回一维向量</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;x&quot;&gt;减数&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;y&quot;&gt;被减数&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;ans&quot;&gt;用于接收返回值的数组&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;returns&gt;&lt;/returns&gt;</span><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">vectorsub</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> x[TRAIN_SIZE], <span class="hljs-type">const</span> <span class="hljs-type">double</span> y[TRAIN_SIZE], <span class="hljs-type">double</span> ans[TRAIN_SIZE])</span> </span>&#123;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		ans[i] = x[i] - y[i];<br>	&#125;<br>&#125;<br><br><span class="hljs-comment">/// &lt;summary&gt;</span><br><span class="hljs-comment">/// 两个一维向量相乘</span><br><span class="hljs-comment">/// &lt;/summary&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;x&quot;&gt;向量1&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;y&quot;&gt;向量2&lt;/param&gt;</span><br><span class="hljs-comment">/// &lt;param name=&quot;ans&quot;&gt;用于接收返回值的数组&lt;/param&gt;</span><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">vectormultiply</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">double</span> x[TRAIN_SIZE], <span class="hljs-type">const</span> <span class="hljs-type">double</span> y[TRAIN_SIZE], <span class="hljs-type">double</span> ans[TRAIN_SIZE])</span> </span>&#123;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; TRAIN_SIZE; i++) &#123;<br>		ans[i] = x[i] * y[i];<br>	&#125;<br>&#125;<br><br><br></code></pre></td></tr></table></figure>
-<hr>
-<blockquote>
-<p>预测部分：</p>
-<blockquote>
-<p>载入模型数据</p>
-<p>获取用于预测的数据</p>
-<p>基于模型参数对获取到的数据进行归一化处理</p>
-<p>获取预测结果（这里采用了写死的方式，没有进行复杂的操作）</p>
-</blockquote>
+<a href="https://realtimelogic.com/downloads/arm-mdk-packs/RealTimeLogic.SMQ.38.9.8.pack">https://realtimelogic.com/downloads/arm-mdk-packs/RealTimeLogic.SMQ.38.9.8.pack</a><br>
+<a href="https://realtimelogic.com/downloads/arm-mdk-packs/RealTimeLogic.SMQ.38.9.8.pack">https://realtimelogic.com/downloads/arm-mdk-packs/RealTimeLogic.SMQ.38.9.8.pack</a><br>
+<a href="http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F1_DFP.1.0.1.pack">http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F1_DFP.1.0.1.pack</a><br>
+<a href="http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F1_DFP.1.0.1.pack">http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F1_DFP.1.0.1.pack</a><br>
+<a href="http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F2_DFP.1.2.3.pack">http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F2_DFP.1.2.3.pack</a><br>
+<a href="http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F2_DFP.1.2.3.pack">http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F2_DFP.1.2.3.pack</a><br>
+<a href="http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F7_DFP.1.2.2.pack">http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F7_DFP.1.2.2.pack</a><br>
+<a href="http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F7_DFP.1.2.2.pack">http://liveupdate.sonix.com.tw/sonix/develop_tool/MCU/DFP/SONiX.SN32F7_DFP.1.2.2.pack</a><br>
+<a href="http://software-dl.ti.com/msp430/msp430_public_sw/mcu/msp430/mspkeil/latest/exports/TexasInstruments.MSP432P4xx_DFP.2.2.1.pack">http://software-dl.ti.com/msp430/msp430_public_sw/mcu/msp430/mspkeil/latest/exports/TexasInstruments.MSP432P4xx_DFP.2.2.1.pack</a><br>
+<a href="http://software-dl.ti.com/msp430/msp430_public_sw/mcu/msp430/mspkeil/latest/exports/TexasInstruments.MSP432P4xx_DFP.2.2.1.pack">http://software-dl.ti.com/msp430/msp430_public_sw/mcu/msp430/mspkeil/latest/exports/TexasInstruments.MSP432P4xx_DFP.2.2.1.pack</a><br>
+<a href="http://www.ixys.com/Zilog/packs/Zilog.ZNEO32_DFP.1.0.2.pack">http://www.ixys.com/Zilog/packs/Zilog.ZNEO32_DFP.1.0.2.pack</a><br>
+<a href="http://www.ixys.com/Zilog/packs/Zilog.ZNEO32_DFP.1.0.2.pack">http://www.ixys.com/Zilog/packs/Zilog.ZNEO32_DFP.1.0.2.pack</a><br>
+我们提供的链接中，STM32F1系列并没有写2.2.0版本，如果想下载2.2.0版本怎么办呢，直接修改链接中版本号就行了，其它链接也是同理，Enjoy！</p>
+<p><img src="/img/page/stm32/%E8%8A%AF%E7%89%87%E4%B9%8B%E5%AE%B6.png" alt=""></p>
+<p><a href="https://mp.weixin.qq.com/s/hsxQFctG3LXMvCpxcRWE2g">芯片之家</a></p>
+]]></content>
+      <categories>
+        <category>KEIL</category>
+      </categories>
+  </entry>
+  <entry>
+    <title>PaddleDetection</title>
+    <url>/posts/5959.html</url>
+    <content><![CDATA[<blockquote>
+<p>爱来自ZZULI❤<a href="https://luoy-oss.github.io">drluo</a></p>
 </blockquote>
-<h1>预测源码</h1>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&quot;global_define.h&quot;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdio.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdlib.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;string.h&gt;</span></span><br><br><span class="hljs-keyword">struct</span> <span class="hljs-title class_">Model</span> &#123;<br>	<span class="hljs-type">double</span> w[DATA_SIZE];<br>	<span class="hljs-type">double</span> b;<br>&#125;model;<br><br><span class="hljs-type">const</span> <span class="hljs-type">char</span>* label_list[LABELS] = &#123;<br>	<span class="hljs-string">&quot;CRIM&quot;</span>,<span class="hljs-string">&quot;ZN&quot;</span>,<span class="hljs-string">&quot;INDUS&quot;</span>,<span class="hljs-string">&quot;CHAS&quot;</span>,<span class="hljs-string">&quot;NOX&quot;</span>,<span class="hljs-string">&quot;RM&quot;</span>,<br>	<span class="hljs-string">&quot;AGE&quot;</span>,<span class="hljs-string">&quot;DIS&quot;</span>,<span class="hljs-string">&quot;RAD&quot;</span>,<span class="hljs-string">&quot;TAX&quot;</span>,<span class="hljs-string">&quot;PTRATIO&quot;</span>,<span class="hljs-string">&quot;B&quot;</span>,<span class="hljs-string">&quot;LSTAT&quot;</span>,<span class="hljs-string">&quot;MEDV&quot;</span><br>&#125;;<br><span class="hljs-type">double</span> maximums[LABELS] = &#123; <span class="hljs-number">0.0</span> &#125;;<br><span class="hljs-type">double</span> minimums[LABELS] = &#123; <span class="hljs-number">0.0</span> &#125;;<br><span class="hljs-type">double</span> avgs[LABELS] = &#123; <span class="hljs-number">0.0</span> &#125;;<br><span class="hljs-type">double</span> predict_data[DATA_SIZE];<br><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">get_data</span><span class="hljs-params">()</span></span>;<br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">load_model</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">char</span>* file_path)</span></span>;<br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">predict</span><span class="hljs-params">()</span></span>;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	<span class="hljs-type">char</span> model[<span class="hljs-number">100</span>];<br>	<span class="hljs-built_in">printhello</span>(<span class="hljs-number">2</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;请输入要使用的模型(可以不带模型后缀,默认为train_finish.luoy)：&quot;</span>);<br>	<span class="hljs-built_in">gets_s</span>(model, <span class="hljs-number">100</span>);<br>	<span class="hljs-keyword">if</span> (<span class="hljs-built_in">strstr</span>(model, <span class="hljs-string">&quot;.luoy&quot;</span>) == <span class="hljs-literal">NULL</span>) &#123;<br>		<span class="hljs-built_in">strcat</span>(model, <span class="hljs-string">&quot;.luoy&quot;</span>);<br>	&#125;<br>	<span class="hljs-keyword">if</span> (<span class="hljs-built_in">strcmp</span>(model, <span class="hljs-string">&quot;&quot;</span>)) &#123;<br>		<span class="hljs-built_in">strcpy</span>(model, <span class="hljs-string">&quot;train_finish.luoy&quot;</span>);<br>	&#125;<br>	<span class="hljs-built_in">load_model</span>(model);<br>	<span class="hljs-built_in">get_data</span>();<br>	<span class="hljs-built_in">predict</span>();<br>	<span class="hljs-built_in">system</span>(<span class="hljs-string">&quot;pause&quot;</span>);<br><br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">get_data</span><span class="hljs-params">()</span> </span>&#123;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;请输入要预测的数据...\n&quot;</span>);<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;请输入%s：&quot;</span>, label_list[i]);<br>		<span class="hljs-built_in">scanf</span>(<span class="hljs-string">&quot;%lf&quot;</span>, &amp;predict_data[i]);<br>	&#125;<br>	<br>	<span class="hljs-comment">//归一化</span><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> y = <span class="hljs-number">0</span>; y &lt; DATA_SIZE; y++) &#123;<br>		<span class="hljs-keyword">if</span> (maximums[y] - minimums[y] == <span class="hljs-number">0</span>)<span class="hljs-keyword">continue</span>;<br>		predict_data[y] = (predict_data[y] - minimums[y]) / (maximums[y] - minimums[y]);<br>	&#125;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;数据获取完成\n&quot;</span>);<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">load_model</span><span class="hljs-params">(<span class="hljs-type">const</span> <span class="hljs-type">char</span>* file_path)</span> </span>&#123;<br>	FILE* file = <span class="hljs-built_in">fopen</span>(file_path, <span class="hljs-string">&quot;r&quot;</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;加载模型%s\n&quot;</span>, file_path);<br>	<span class="hljs-keyword">if</span> (file == <span class="hljs-literal">NULL</span>) &#123;<br>		<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;未找到模型%s\n&quot;</span>, file_path);<br>		<span class="hljs-built_in">system</span>(<span class="hljs-string">&quot;pause&quot;</span>);<br>		<span class="hljs-built_in">exit</span>(<span class="hljs-number">1</span>);<br>	&#125;<br><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		<span class="hljs-built_in">fscanf</span>(file, <span class="hljs-string">&quot;%lf&quot;</span>, &amp;model.w[i]);<br>	&#125;<br>	<span class="hljs-built_in">fscanf</span>(file, <span class="hljs-string">&quot;%lf&quot;</span>, &amp;model.b);<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; LABELS; i++) &#123;<br>		<span class="hljs-built_in">fscanf</span>(file, <span class="hljs-string">&quot;%lf%lf%lf&quot;</span>, &amp;maximums[i], &amp;minimums[i], &amp;avgs[i]);<br>	&#125;<br>	<span class="hljs-built_in">fclose</span>(file);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;模型加载完成\n&quot;</span>);<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">predict</span><span class="hljs-params">()</span> </span>&#123;<br>	<span class="hljs-type">double</span> ans = <span class="hljs-number">0.0</span>;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; DATA_SIZE; i++) &#123;<br>		ans += predict_data[i] * model.w[i];<br>	&#125;<br>	ans += model.b;<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;根据所给参数：\n&quot;</span>);<br>    <span class="hljs-comment">//这里采用了写死的方式，没有进行复杂的操作</span><br>    <span class="hljs-comment">//后面的+ -参数为当前训练数据的最优参数。</span><br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于99%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">7.2</span>, ans + <span class="hljs-number">7.2</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于98%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">6.04</span>, ans + <span class="hljs-number">6.04</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于97%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">5.77</span>, ans + <span class="hljs-number">5.77</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于94%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">5.1</span>, ans + <span class="hljs-number">5.1</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于91%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">4.59</span>, ans + <span class="hljs-number">4.59</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于89%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">4.2</span>, ans + <span class="hljs-number">4.2</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于83%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">3.9</span>, ans + <span class="hljs-number">3.9</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于76%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">3.6</span>, ans + <span class="hljs-number">3.6</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于67%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">3</span>, ans + <span class="hljs-number">3</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于60%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">2.6</span>, ans + <span class="hljs-number">2.6</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;基于50%%概率预测，该地区房价范围为(%9lf,%10lf)\033[m\n&quot;</span>, ans - <span class="hljs-number">2.08</span>, ans + <span class="hljs-number">2.08</span>);<br>	<span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;\033[36m&gt;&gt;&gt;该地区房价可能为%10lf\033[m\n&quot;</span>,ans);<br>	<span class="hljs-built_in">printbye</span>(<span class="hljs-number">2</span>);<br>	<span class="hljs-built_in">printhello</span>(<span class="hljs-number">2</span>);<br>&#125;<br><br></code></pre></td></tr></table></figure>
-<h1>训练数据housing.data</h1>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-number">41.529200</span> <span class="hljs-number">0.000000</span> <span class="hljs-number">18.100000</span> <span class="hljs-number">0.000000</span> <span class="hljs-number">0.693000</span> <span class="hljs-number">5.531000</span> <span class="hljs-number">85.400000</span> <span class="hljs-number">1.607400</span> <span class="hljs-number">24.000000</span> <span class="hljs-number">666.000000</span> <span class="hljs-number">20.200000</span> <span class="hljs-number">329.460000</span> <span class="hljs-number">27.380000</span> <span class="hljs-number">6.375000</span> <br><span class="hljs-number">67.920800</span> <span class="hljs-number">0.000000</span> <span class="hljs-number">18.100000</span> <span class="hljs-number">0.000000</span> <span class="hljs-number">0.693000</span> <span class="hljs-number">5.683000</span> <span class="hljs-number">100.000000</span> <span 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+<p><img src="/img/page/ZZULI.webp" alt=""></p>
+<h1>1. Config 类定义<a href="https://www.paddlepaddle.org.cn/inference/api_reference/python_api_doc/Config/ConfigClass.html#config">¶</a></h1>
+<p><code>Config</code> 类为用于配置构建 <code>Predictor</code> 对象的配置信息，如模型路径、是否开启 gpu 等等。</p>
+<p>构造函数定义如下：</p>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext"># Config 类定义，输入为 None<br>class paddle.inference.Config()<br><br># Config 类定义，输入为其他 Config 对象<br>class paddle.inference.Config(config: Config)<br><br># Config 类定义，输入分别为模型文件路径和参数文件路径<br>class paddle.inference.Config(prog_file: str, params_file: str)<br></code></pre></td></tr></table></figure>
+<p>代码示例：</p>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext"># 引用 paddle inference 预测库<br>import paddle.inference as paddle_infer<br><br># 创建 config<br>config = paddle_infer.Config(&quot;./mobilenet.pdmodel&quot;, &quot;./mobilenet.pdiparams&quot;)<br><br># 根据 config 创建 predictor<br>predictor = paddle_infer.create_predictor(config)<br></code></pre></td></tr></table></figure>
+<h1>2. 设置预测模型<a href="https://www.paddlepaddle.org.cn/inference/api_reference/python_api_doc/Config/ModelConfig.html#shezhiyucemoxing">¶</a></h1>
+<h2 id="2-1-从文件中加载预测模型¶">2.1. 从文件中加载预测模型<a href="https://www.paddlepaddle.org.cn/inference/api_reference/python_api_doc/Config/ModelConfig.html#congwenjianzhongjiazaiyucemoxing">¶</a></h2>
+<p>API定义如下：</p>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext"># 设置模型文件路径，当需要从磁盘加载模型时使用<br># 参数：prog_file_path - 模型文件路径<br>#      params_file_path - 参数文件路径<br># 返回：None<br>paddle.inference.Config.set_model(prog_file_path: str, params_file_path: str)<br><br># 设置模型文件路径<br># 参数：x - 模型文件路径<br># 返回：None<br>paddle.inference.Config.set_prog_file(x: str)<br><br># 设置参数文件路径<br># 参数：x - 参数文件路径<br># 返回：None<br>paddle.inference.Config.set_params_file(x: str)<br><br># 获取模型文件路径<br># 参数：None<br># 返回：str - 模型文件路径<br>paddle.inference.Config.prog_file()<br><br># 获取参数文件路径<br># 参数：None<br># 返回：str - 参数文件路径<br>paddle.inference.Config.params_file()<br></code></pre></td></tr></table></figure>
+<p>代码示例：</p>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext"># 引用 paddle inference 预测库<br>import paddle.inference as paddle_infer<br><br># 创建 config<br>config = paddle_infer.Config()<br><br># 通过 API 设置模型文件夹路径<br>config.set_prog_file(&quot;./mobilenet_v2.pdmodel&quot;)<br>config.set_params_file(&quot;./mobilenet_v2.pdiparams&quot;)<br><br># 通过 API 获取 config 中的模型文件和参数文件路径<br>print(config.prog_file())<br>print(config.params_file())<br><br># 根据 config 创建 predictor<br>predictor = paddle_infer.create_predictor(config)<br></code></pre></td></tr></table></figure>
+<h2 id="2-2-从内存中加载预测模型¶">2.2. 从内存中加载预测模型<a href="https://www.paddlepaddle.org.cn/inference/api_reference/python_api_doc/Config/ModelConfig.html#congneicunzhongjiazaiyucemoxing">¶</a></h2>
+<p>API定义如下：</p>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext"># 从内存加载模型<br># 参数：prog_buffer - 内存中模型结构数据<br>#      prog_buffer_size - 内存中模型结构数据的大小<br>#      params_buffer - 内存中模型参数数据<br>#      params_buffer_size - 内存中模型参数数据的大小<br># 返回：None<br>paddle.inference.Config.set_model_buffer(prog_buffer: str, prog_buffer_size: int, <br>                                         params_buffer: str, params_buffer_size: int)<br><br># 判断是否从内存中加载模型<br># 参数：None<br># 返回：bool - 是否从内存中加载模型<br>paddle.inference.Config.model_from_memory()<br></code></pre></td></tr></table></figure>
+<p>代码示例：</p>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext"># 引用 paddle inference 预测库<br>import paddle.inference as paddle_infer<br><br># 创建 config<br>config = paddle_infer.Config()<br><br># 加载模型文件到内存<br>with open(&#x27;./mobilenet_v2.pdmodel&#x27;, &#x27;rb&#x27;) as prog_file:<br>    prog_data=prog_file.read()<br>    <br>with open(&#x27;./mobilenet_v2.pdiparams&#x27;, &#x27;rb&#x27;) as params_file:<br>    params_data=params_file.read()<br><br># 从内存中加载模型<br>config.set_model_buffer(prog_data, len(prog_data), params_data, len(params_data))<br><br># 通过 API 获取 config 中 model_from_memory 的值 - True<br>print(config.model_from_memory())<br><br># 根据 config 创建 predictor<br>predictor = paddle_infer.create_predictor(config)<br></code></pre></td></tr></table></figure>
+<h1>重要内容</h1>
+<h2 id="paddlepaddle中">paddlepaddle中</h2>
+<ul>
+<li>DynamicDimension ：表示动态维度，一般是1</li>
+<li>im_shape：图像经过resize后的大小，表示为H,W, DynamicDimension 表示batch维度</li>
+<li>image：输入网络的图像，DynamicDimension 表示batch维度，如果输入图像大小为变长，则H,W为None</li>
+<li>scale_factor：输入图像大小比真实图像大小，表示为scale_y, scale_x</li>
+<li>multiclass_nms3_0.tmp_0：bbox, NMS的输出，形状为[N, 6], 其中N为预测框的个数，6为[class_id, score, x1, y1, x2, y2]</li>
+<li>multiclass_nms3_0.tmp_2：bbox_num, 每张图片对应预测框的个数，例如batch_size为2，输出为[N1, N2], 表示第一张图包含N1个预测框，第二张图包含N2个预测框，并且预测框的总个数和NMS输出的第一维N相同</li>
+</ul>
 ]]></content>
       <categories>
-        <category>C/C++</category>
+        <category>Paddle</category>
       </categories>
       <tags>
-        <tag>神经网络</tag>
+        <tag>Python</tag>
       </tags>
   </entry>
   <entry>
-    <title>NOIonline</title>
-    <url>/posts/34336.html</url>
-    <content><![CDATA[<h2 id="愤怒的小-N（angry）-CCF-NOI-Online-能力测试-提高组-2021第一题">愤怒的小 N（angry）-	CCF NOI Online 能力测试 提高组 2021第一题</h2>
-<p><strong>【题目描述】</strong><br>
-极度愤怒的小 N 通关了一款游戏来泄愤。<br>
-这款游戏共有 n 关，分别为第 0 关、第 1 关、第 2 关、···、第 n−1 关。这些关卡中有一些是普通关卡，另一些则是奖励关卡。 这款游戏中普通关卡与奖励关卡的分布比较特殊。如果用字符 a 表示普通关卡，用 字符 b 表示奖励关卡，那么第 0 关、第 1 关、第 2 关、···、第 n−1 关依次排列形成 的字符串是一个无穷字符串 s 的前缀，且 s 可以按照如下方式构造：</p>
+    <title>Paddle环境搭建</title>
+    <url>/posts/50624.html</url>
+    <content><![CDATA[<blockquote>
+<p><strong>此文章以python的搭建为例</strong></p>
+</blockquote>
+<hr>
+<h1>一、安装Anaconda</h1>
+<p><a href="https://www.anaconda.com/">https://www.anaconda.com</a></p>
+<p><img src="/img/page/%E7%99%BE%E5%BA%A6Paddle/anaconda1.png" alt=""></p>
+<p><strong>注意勾选All User</strong></p>
+<p><img src="/img/page/%E7%99%BE%E5%BA%A6Paddle/anaconda1.png" alt=""></p>
+<p>这里<strong>最好是勾选第一个选项</strong>，其目的是将anaconda添加到系统变量中，这样我们可以直接通过cmd调用conda，更加方便</p>
+<p>然后你就可以使用anaconda来设置不同的环境</p>
+<p>比如这里我们建一个专门用于Paddle的环境(控制台输入)</p>
+<p><code>conda create -n PaddleDetection python==3.7</code>创建PaddleDetection环境，并要求其为python3.7版本</p>
+<p><code>conda activate PaddleDetection</code>进入所创建的PaddleDetection环境中</p>
+<p>![](/img/page/百度Paddle/conda activate.png)</p>
+<p>当目录左侧有（xxxxx）显示时，就表明你已进入该环境，可以基于该环境进行操作，pip install  / pip uninstall的操作也只会影响该环境</p>
+<p>注意：当左侧显示(base)时，这是默认环境</p>
+<hr>
+<h1>二、安装CUDA</h1>
+<h2 id="你的显卡必须是NVDIA显卡！！！">你的显卡必须是NVDIA显卡！！！</h2>
 <blockquote>
-<ol>
-<li>初始时 s 为包含单个字符 a 的字符串。</li>
-<li>将 s 的每个字符 a 替换成字符 b，每个字符 b 替换成字符 a 得到字符串 t，然后 将 t 拼接到 s 后。</li>
-<li>不断执行 2. 得到的字符串就是最终的 s。</li>
-</ol>
+<p>你可以在<a href="https://developer.nvidia.com/%E6%89%BE%E5%88%B0CUDA%E7%9A%84%E4%B8%8B%E8%BD%BD">https://developer.nvidia.com/找到CUDA的下载</a></p>
+<p>但是请注意<strong>30系列的显卡必须使用CUDA11.0以上的版本</strong>，百度Paddle支持的版本为：CUDA 11.7 11.6 11.2 10.2</p>
 </blockquote>
-<p>可以发现 s = abbabaabbaababba···，所以这款游戏的第 0 关是普通关卡，第 1 关 是奖励关卡，第 2 关是奖励关卡，第 3 关是普通关卡，以此类推。 通过游戏的第 i 关可以得到 f(i) 分，其中 f(x) = a0 + a1x + a2x2 +···+ ak−1xk−1 是一个固定的 k−1 次多项式。 小 N 通关时一气之下通过了所有奖励关卡而忽略了所有普通关卡，然后就把游戏 卸载了。现在回想起来，他想要知道他在卸载游戏前的总得分对 10⁹ + 7 取模后的结果。<br>
-<strong>【输入格式】</strong> 从文件 <a href="http://angry.in">angry.in</a> 中读入数据。 第一行一个正整数 n，表示游戏的关卡数目。为方便，n 以二进制表示给出。 第二行一个正整数 k，表示多项式的次数加一。 第三行 k 个非负整数，分别为 a0,a1,a2,…,ak−1，表示多项式的各项系数。<br>
-<strong>【输出格式】</strong> 输出到文件 angry.out 中。 一行一个非负整数，表示小 N 卸载游戏前的总得分对 109 + 7 取模后的结果。<br>
-<strong>【样例 1 输入】</strong><br>
-1 1000 2 3 3 3 2 1<br>
-<strong>【样例 1 输出】</strong><br>
-1 110<br>
-<strong>【样例 1 解释】</strong><br>
-这款游戏共有 8 关，通关第 i 关可以得到 (3 + 2i + i2) 分。第 1,2,4,7 关为奖励关， 小 N 通过这几关分别得到了 6,11,27,66 分，共 110 分。<br>
-<strong>【样例 2 输入】</strong></p>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">11111100101 <br>4<br>2 0 2 1<br></code></pre></td></tr></table></figure>
-<p><strong>【样例 2 输出】</strong></p>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">143901603<br></code></pre></td></tr></table></figure>
-<p><strong>【样例 3 输入】</strong></p>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">1001011001101001 <br>16<br>1 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1<br></code></pre></td></tr></table></figure>
-<p><strong>【样例 3 输出】</strong></p>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">184740992<br></code></pre></td></tr></table></figure>
-<p><strong>【数据范围与提示】</strong> 对于所有测试点：0 ≤log₂n &lt; 5×10⁵，1 ≤ k ≤ 500，0 ≤ ai &lt; 10⁹ + 7，a的第k-1项≠ 0。</p>
+<p>CUDA安装时，请注意该界面：</p>
+<p><img src="/img/page/%E7%99%BE%E5%BA%A6Paddle/cuda.png" alt=""></p>
+<p>对于其中的展开项，如果<strong>当前版本比新版本要高</strong>，<strong>不需要勾选</strong></p>
+<p>当你完成的CUDA的安装，你还需要下载相应CUDA版本的cudnn，这样CUDA才能正常工作</p>
+<p><a href="https://developer.nvidia.cn/rdp/cudnn-archive">cuDNN Archive | NVIDIA 开发者</a></p>
+<p>将所下载的cudnn解压后的四个文件，复制到cuda的安装路径即可</p>
+<p><strong>请注意cudnn和CUDA版本的对应关系</strong></p>
+<p><img src="/img/page/%E7%99%BE%E5%BA%A6Paddle/cudnn.png" alt=""></p>
+<p>当你完成了上述安装步骤后，可以在cmd中输入<code>nvcc -V</code>来检验CUDA是否安装成功</p>
 <hr>
-<h3 id="我的代码">我的代码</h3>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;iostream&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;string.h&gt;</span></span><br><span class="hljs-keyword">using</span> <span class="hljs-keyword">namespace</span> std;<br><span class="hljs-meta">#<span class="hljs-keyword">define</span> RLL register long long</span><br><span class="hljs-meta">#<span class="hljs-keyword">define</span> LL long long</span><br><span class="hljs-meta">#<span class="hljs-keyword">define</span> VALUE 1000000007</span><br><br><span class="hljs-type">int</span> n;<br><span class="hljs-type">int</span> x[<span class="hljs-number">512</span>],k;<br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">getn</span><span class="hljs-params">(LL num)</span></span>&#123;<br>	<span class="hljs-keyword">return</span> (num)?<span class="hljs-number">1</span>+<span class="hljs-built_in">getn</span>(num/<span class="hljs-number">10</span>):<span class="hljs-number">0</span>;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">BtoD</span><span class="hljs-params">(LL num)</span></span>&#123;<br>	<span class="hljs-type">int</span> dec=<span class="hljs-number">0</span>,i=<span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">while</span>(num)&#123;<br>		dec+=(num%<span class="hljs-number">10</span>)*(<span class="hljs-number">1</span>&lt;&lt;i++);<br>		num/=<span class="hljs-number">10</span>;<br>	&#125;<br>	<span class="hljs-keyword">return</span> dec;<br>&#125;<br><br><span class="hljs-comment">//这一一般的求幂（的模）</span><br><span class="hljs-function">LL <span class="hljs-title">normalExponentiation</span><span class="hljs-params">(<span class="hljs-type">int</span> base,<span class="hljs-type">int</span> power)</span></span>&#123;<br>    LL res=<span class="hljs-number">1</span>;<br>    <span class="hljs-keyword">for</span>(<span class="hljs-type">int</span> i=<span class="hljs-number">1</span>;i&lt;=power;i++)&#123;<br>        res*=base;<br>        res%=VALUE;<br>    &#125;<br>    <span class="hljs-keyword">return</span> res%VALUE;<br>&#125;<br><span class="hljs-comment">//老快了</span><br><span class="hljs-function">LL <span class="hljs-title">fastExponentiation</span><span class="hljs-params">(LL base,LL power)</span> </span>&#123;<br>    LL res = <span class="hljs-number">1</span>;<br>    <span class="hljs-keyword">while</span> (power &gt; <span class="hljs-number">0</span>) &#123;<br>        <span class="hljs-keyword">if</span> (power &amp; <span class="hljs-number">1</span>) &#123;<span class="hljs-comment">//此处等价于if(power%2==1)</span><br>            res = res * base % VALUE;<br>        &#125;<br>        power &gt;&gt;= <span class="hljs-number">1</span>;<span class="hljs-comment">//此处等价于power=power/2</span><br>        base = (base * base) % VALUE;<br>    &#125;<br>    <span class="hljs-keyword">return</span> res;<br>&#125;<br><br><span class="hljs-function">LL <span class="hljs-title">getScore</span><span class="hljs-params">(<span class="hljs-type">int</span> i)</span></span>&#123;<br>	<span class="hljs-comment">//第i个关卡</span><br>	LL res=<span class="hljs-number">0</span>,power;<br>	<span class="hljs-keyword">for</span>(<span class="hljs-type">int</span> l=<span class="hljs-number">0</span>;l&lt;k;l++)&#123;<br>		power=x[l];<br>		<span class="hljs-keyword">if</span>(x[l])<br>			res+=<span class="hljs-built_in">fastExponentiation</span>(i,l);<span class="hljs-comment">//比normalExponentiation快了好多好多好多好多 </span><br>	&#125;<br>	<span class="hljs-keyword">return</span> res;<br>&#125;<br><br><span class="hljs-function">string <span class="hljs-title">mades</span><span class="hljs-params">(string s)</span></span>&#123;<br>	string news=s;<br>	<span class="hljs-keyword">for</span>(<span class="hljs-type">int</span> i=<span class="hljs-number">0</span>;i&lt;n;i++)&#123;<br>		<span class="hljs-keyword">for</span>(<span class="hljs-type">int</span> j=<span class="hljs-number">0</span>;j&lt;s.<span class="hljs-built_in">size</span>();j++)<br>			news+=(s[j]==<span class="hljs-string">&#x27;a&#x27;</span>)?<span class="hljs-string">&quot;b&quot;</span>:<span class="hljs-string">&quot;a&quot;</span>;<br>		s=news;<br>	&#125;<br>	<span class="hljs-keyword">return</span> news;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	LL num;<br>	cin&gt;&gt;num&gt;&gt;k;<br>	n=<span class="hljs-built_in">getn</span>(num);<br>	<span class="hljs-keyword">for</span>(<span class="hljs-type">int</span> i=<span class="hljs-number">0</span>;i&lt;k;i++)cin&gt;&gt;x[i];<br>	string s=<span class="hljs-built_in">mades</span>(<span class="hljs-string">&quot;a&quot;</span>);<br>	RLL ScoreSum=<span class="hljs-number">0</span>;<br>	<span class="hljs-type">int</span> max=<span class="hljs-built_in">BtoD</span>(num);<br>	<span class="hljs-keyword">for</span>(<span class="hljs-type">int</span> i=<span class="hljs-number">0</span>;i&lt;max;i++)<br>		<span class="hljs-keyword">if</span>(s[i]==<span class="hljs-string">&#x27;b&#x27;</span>)&#123;<br>			ScoreSum+=<span class="hljs-built_in">getScore</span>(i);<br>		&#125;<br>	cout&lt;&lt;<span class="hljs-string">&quot;SUM:&quot;</span>&lt;&lt;ScoreSum%VALUE;<br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br></code></pre></td></tr></table></figure>
-<p><strong>这里的<em>fastExponentiation</em>其实有更好的方法，但是没从本子那边拿到（我自己也想不出来😥）</strong></p>
+<h1>三、安装Paddle</h1>
+<p><a href="https://www.paddlepaddle.org.cn/">飞桨PaddlePaddle-源于产业实践的开源深度学习平台</a></p>
+<p><img src="/img/page/%E7%99%BE%E5%BA%A6Paddle/paddle.png" alt=""></p>
+<p>复制所给命令运行即可**（最好是在我们第一步创建的PaddleDetection的独立环境中运行，这样可以保证环境之间的互不干扰）**</p>
+<p>执行命令，等待安装</p>
+<p>安装完成后，执行以下的Python代码，检查是否成功调用GPU资源</p>
+<figure class="highlight python"><table><tr><td class="code"><pre><code class="hljs python"><span class="hljs-keyword">import</span> paddle<br>paddle.utils.run_check()<br></code></pre></td></tr></table></figure>
+<p>出现：</p>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">PaddlePaddle works well on 1 GPU.<br>PaddlePaddle works well on 1 GPUs.<br>PaddlePaddle is installed successfully! Let&#x27;s start deep learning with PaddlePaddle now.<br></code></pre></td></tr></table></figure>
+<p><strong>意味着你已经完成了以上所有环境的配置！</strong></p>
 ]]></content>
       <categories>
-        <category>C++</category>
+        <category>Paddle</category>
       </categories>
+      <tags>
+        <tag>Python</tag>
+        <tag>深度学习</tag>
+      </tags>
   </entry>
   <entry>
     <title>Predict.py的编写</title>
@@ -2409,6 +2451,45 @@ $$</p>
         <tag>深度学习</tag>
       </tags>
   </entry>
+  <entry>
+    <title>STM32GPIO八种输入输出模式</title>
+    <url>/posts/36643.html</url>
+    <content><![CDATA[<h2 id="STM32-GPIO"><strong>STM32</strong> GPIO</h2>
+<p><img src="/img/page/stm32GPIO/gpio.png" alt="img"></p>
+<h2 id="1-GPIO-MODE-AIN-模拟输入">1. GPIO_MODE_AIN 模拟输入</h2>
+<p>输入信号不经施密特触发器直接接入，<strong>输入信号为模拟量</strong>而非数字量，其余输入方式输入数字量。</p>
+<h2 id="2-GPIO-MODE-IN-FLOATING-浮空输入">2. GPIO_MODE_IN_FLOATING 浮空输入</h2>
+<p>输入信号经过施密特触发器接入输入数据存储器。<strong>当无信号输入时，电压不确定</strong>。因为浮空输入既<strong>高阻输入</strong>，可以认为输入端口阻抗无穷大，这样可以检测到微弱的信号。（相当于电压表测电压，如果电压表内阻不够大而外部阻抗比较大，则电压表分压会比较小）。此时输入高电平即高电平，输入低电平即低电平。但是外界没有输入时输入电平却容易受到外界电磁以及各种玄学干扰的影响。如按键采用浮空输入，则在按键按下时输入电平为低，但是当松开按键时输入端口悬空，外界有微弱的干扰都会被端口检测到。此时端口可能高，也可能低。</p>
+<h2 id="3-GPIO-MODE-IPD-下拉输入">3. GPIO_MODE_IPD 下拉输入</h2>
+<p>浮空输入在外界没有输入时状态不确定，可能对电路造成干扰。为了使得电路更加稳定，不出现没有输入时端口的输入数据被干扰 （比如手碰一下电压就发生变化）。这时就需要下拉电阻（或上拉电阻）,此电阻与端口输入阻抗相比仍然较小。有输入信号时端口读取输入信号，<strong>无输入信号时端口电平被拉到低电平（高电平）</strong>。</p>
+<h2 id="4-GPIO-MODE-IPU-上拉输入">4. GPIO_MODE_IPU 上拉输入</h2>
+<p>上拉输入与下拉输入类似，只是<strong>无输入信号时端口电平被拉到高电平</strong>。例如按键信号，当按下时输入低电平，松开时电平被拉到高电平。这样就不会出现按键松开时端口电平不确定的情况。即不知道时按下还是松开。</p>
+<h2 id="5-GPIO-MODE-OUT-OD-开漏输出">5. GPIO-MODE_OUT_OD 开漏输出</h2>
+<p><img src="/img/page/stm32GPIO/od.png" alt="img"></p>
+<p>开漏输出即<strong>漏极开路输出</strong>。这种输出方式指场效应管漏极开路输出。<strong>需要接上拉电阻才能输出1</strong>。漏极经上拉电阻接到电源，栅极输出0时，场效应管截止（阻抗无线大），电压被分到场效应管上，此时输出为1。当栅极输出1时，场效应管导通，输出端口相当于接地，此时输出0。开漏输出高电平时是由外接电源输出的，因此可以实现高于输出端口电压的输出。可以实现电平的转换。<strong>开漏输出可以实现线与功能</strong>，方法是多个输出共接一个上拉电阻。但是漏极开路输出<strong>上升沿慢</strong>，因为上升沿是外接电源对上拉电阻以及外接负载充电。当上拉电阻较大或者负载容性较大时时间常数较大，充电较慢。<strong>需要较快反映时可以采用下降沿触发</strong>，此时没有电阻接入，电路的时间常数较小，充电较快。</p>
+<h2 id="6-GPIO-MODE-OUT-PP-推挽输出">6. GPIO_MODE_OUT_PP 推挽输出</h2>
+<p><img src="/img/page/stm32GPIO/pp.png" alt="img"></p>
+<p><strong>推挽输出既可以输出1，又可以输出0</strong>。但是无法调节输出电压，因为输出高低电平均为三极管输入端电压，此电压在由芯片内部供电，无法改变。推挽输出任意时刻只有一路工作。上图为输出高电平时电路工作状态。只有三极管导通电阻，无外接电阻。因此推挽输出<strong>损耗小、速度快</strong>。</p>
+<h2 id="7-GPIO-MODE-AF-OD-复用开漏输出">7. GPIO_MODE_AF_OD 复用开漏输出</h2>
+<p>STM32单片机内部有其他的外设，比如定时器、DAC等。复用开漏输出与普通开漏输出区别在于，开漏输出输出的是输出数据寄存器中的数据，<strong>复用开漏输出输出的是来自外设的数据</strong>。</p>
+<h2 id="8-GOIO-MODE-AF-PP-复用推挽输出">8. GOIO_MODE_AF_PP 复用推挽输出</h2>
+<p><strong>复用推挽输出原理与复用开漏输出原理相同</strong></p>
+<p>文章转载自知乎<a href="https://zhuanlan.zhihu.com/p/113367004">STM32 GPIO八种输入输出模式 - 知乎 (zhihu.com)</a></p>
+]]></content>
+      <categories>
+        <category>STM32</category>
+      </categories>
+  </entry>
+  <entry>
+    <title>STM32阵列按键</title>
+    <url>/posts/47966.html</url>
+    <content><![CDATA[<h1>阵列按键</h1>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-function"><span class="hljs-type">uint8_t</span> <span class="hljs-title">Key_GetNum</span><span class="hljs-params">(<span class="hljs-type">void</span>)</span> </span>&#123;<br>    <span class="hljs-type">uint8_t</span> keyNum = <span class="hljs-number">0</span>;<br><br>   <span class="hljs-comment">/*</span><br><span class="hljs-comment">       在Key_init()中</span><br><span class="hljs-comment">       设置所有行为高电平，列为输入下拉模式（IPD）</span><br><span class="hljs-comment">       GPIO_SetBits(GPIOB, Key_ROW1 | Key_ROW2 | Key_ROW3 | Key_ROW4);</span><br><span class="hljs-comment">       GPIO_ResetBits(GPIOA, Key_Pin_A_All);</span><br><span class="hljs-comment">       GPIO_ResetBits(GPIOC, Key_Pin_C_All);</span><br><span class="hljs-comment">	*/</span><br>	<span class="hljs-built_in">GPIO_SetBits</span>(GPIOB, Key_ROW4);<br>	<span class="hljs-built_in">GPIO_ResetBits</span>(GPIOB, Key_ROW1);<br>	<span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL1) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL1) == Bit_RESET);<br>		keyNum = <span class="hljs-number">1</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL2) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL2) == Bit_RESET);<br>		keyNum = <span class="hljs-number">5</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL3) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL3) == Bit_RESET);<br>		keyNum = <span class="hljs-number">9</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL4) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL4) == Bit_RESET);<br>		keyNum = <span class="hljs-number">13</span>;<br>	&#125;<br>	<span class="hljs-comment">// 等待一段时间，避免检测到多个按键同时按下</span><br>	<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>    <br>	<span class="hljs-built_in">GPIO_SetBits</span>(GPIOB, Key_ROW1);<br>	<span class="hljs-built_in">GPIO_ResetBits</span>(GPIOB, Key_ROW2);<br>	<span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL1) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL1) == Bit_RESET);<br>		keyNum = <span class="hljs-number">2</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL2) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL2) == Bit_RESET);<br>		keyNum = <span class="hljs-number">6</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL3) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL3) == Bit_RESET);<br>		keyNum = <span class="hljs-number">10</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL4) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL4) == Bit_RESET);<br>		keyNum = <span class="hljs-number">14</span>;<br>	&#125;<br>	<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>    <br>	<span class="hljs-built_in">GPIO_SetBits</span>(GPIOB, Key_ROW2);<br>	<span class="hljs-built_in">GPIO_ResetBits</span>(GPIOB, Key_ROW3);<br>	<span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL1) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL1) == Bit_RESET);<br>		keyNum = <span class="hljs-number">3</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL2) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL2) == Bit_RESET);<br>		keyNum = <span class="hljs-number">7</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL3) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL3) == Bit_RESET);<br>		keyNum = <span class="hljs-number">11</span>;	<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL4) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL4) == Bit_RESET);<br>		keyNum = <span class="hljs-number">15</span>;<br>	&#125;<br>	<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>    <br>	<span class="hljs-built_in">GPIO_SetBits</span>(GPIOB, Key_ROW3);<br>	<span class="hljs-built_in">GPIO_ResetBits</span>(GPIOB, Key_ROW4);<br>	<span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL1) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL1) == Bit_RESET);<br>		keyNum = <span class="hljs-number">4</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL2) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL2) == Bit_RESET);<br>		keyNum = <span class="hljs-number">8</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL3) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL3) == Bit_RESET);<br>		keyNum = <span class="hljs-number">12</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL4) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL4) == Bit_RESET);<br>		keyNum = <span class="hljs-number">16</span>;<br>	&#125;<br>    <span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>    <br>	<span class="hljs-keyword">return</span> keyNum;<br>&#125;<br><br></code></pre></td></tr></table></figure>
+]]></content>
+      <categories>
+        <category>STM32</category>
+      </categories>
+  </entry>
   <entry>
     <title>STM32开发相关</title>
     <url>/posts/9904.html</url>
@@ -2515,88 +2596,14 @@ $$</p>
 <p><img src="/img/page/stm32/%E5%B7%A5%E7%A8%8B7.png" alt=""></p>
 <p><img src="/img/page/stm32/%E5%B7%A5%E7%A8%8B8.png" alt=""></p>
 <p><img src="/img/page/stm32/%E5%B7%A5%E7%A8%8B9.png" alt=""></p>
-<p><a id='ac6'></a></p>
-<h3 id="AC6编译器对中文支持不好">AC6编译器对中文支持不好</h3>
-<p>项目文件目录若有中文路径，头文件等都无法读取，项目内中文也会被报错</p>
-<p>可参考：<a href="https://blog.csdn.net/weixin_42378319/article/details/108796095">keil 使用AC6 中文警告解决办法</a></p>
-]]></content>
-      <categories>
-        <category>STM32</category>
-      </categories>
-  </entry>
-  <entry>
-    <title>STM32阵列按键</title>
-    <url>/posts/47966.html</url>
-    <content><![CDATA[<h1>阵列按键</h1>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-function"><span class="hljs-type">uint8_t</span> <span class="hljs-title">Key_GetNum</span><span class="hljs-params">(<span class="hljs-type">void</span>)</span> </span>&#123;<br>    <span class="hljs-type">uint8_t</span> keyNum = <span class="hljs-number">0</span>;<br><br>   <span class="hljs-comment">/*</span><br><span class="hljs-comment">       在Key_init()中</span><br><span class="hljs-comment">       设置所有行为高电平，列为输入下拉模式（IPD）</span><br><span class="hljs-comment">       GPIO_SetBits(GPIOB, Key_ROW1 | Key_ROW2 | Key_ROW3 | Key_ROW4);</span><br><span class="hljs-comment">       GPIO_ResetBits(GPIOA, Key_Pin_A_All);</span><br><span class="hljs-comment">       GPIO_ResetBits(GPIOC, Key_Pin_C_All);</span><br><span class="hljs-comment">	*/</span><br>	<span class="hljs-built_in">GPIO_SetBits</span>(GPIOB, Key_ROW4);<br>	<span class="hljs-built_in">GPIO_ResetBits</span>(GPIOB, Key_ROW1);<br>	<span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL1) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL1) == Bit_RESET);<br>		keyNum = <span class="hljs-number">1</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL2) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL2) == Bit_RESET);<br>		keyNum = <span class="hljs-number">5</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL3) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL3) == Bit_RESET);<br>		keyNum = <span class="hljs-number">9</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL4) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL4) == Bit_RESET);<br>		keyNum = <span class="hljs-number">13</span>;<br>	&#125;<br>	<span class="hljs-comment">// 等待一段时间，避免检测到多个按键同时按下</span><br>	<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>    <br>	<span class="hljs-built_in">GPIO_SetBits</span>(GPIOB, Key_ROW1);<br>	<span class="hljs-built_in">GPIO_ResetBits</span>(GPIOB, Key_ROW2);<br>	<span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL1) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL1) == Bit_RESET);<br>		keyNum = <span class="hljs-number">2</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL2) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL2) == Bit_RESET);<br>		keyNum = <span class="hljs-number">6</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL3) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL3) == Bit_RESET);<br>		keyNum = <span class="hljs-number">10</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL4) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL4) == Bit_RESET);<br>		keyNum = <span class="hljs-number">14</span>;<br>	&#125;<br>	<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>    <br>	<span class="hljs-built_in">GPIO_SetBits</span>(GPIOB, Key_ROW2);<br>	<span class="hljs-built_in">GPIO_ResetBits</span>(GPIOB, Key_ROW3);<br>	<span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL1) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL1) == Bit_RESET);<br>		keyNum = <span class="hljs-number">3</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL2) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL2) == Bit_RESET);<br>		keyNum = <span class="hljs-number">7</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL3) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL3) == Bit_RESET);<br>		keyNum = <span class="hljs-number">11</span>;	<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL4) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL4) == Bit_RESET);<br>		keyNum = <span class="hljs-number">15</span>;<br>	&#125;<br>	<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>    <br>	<span class="hljs-built_in">GPIO_SetBits</span>(GPIOB, Key_ROW3);<br>	<span class="hljs-built_in">GPIO_ResetBits</span>(GPIOB, Key_ROW4);<br>	<span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL1) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL1) == Bit_RESET);<br>		keyNum = <span class="hljs-number">4</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL2) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOA, Key_COL2) == Bit_RESET);<br>		keyNum = <span class="hljs-number">8</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL3) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL3) == Bit_RESET);<br>		keyNum = <span class="hljs-number">12</span>;<br>	&#125; <span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL4) == Bit_RESET &amp;&amp; keyNum == <span class="hljs-number">0</span>) &#123;<span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>		<span class="hljs-keyword">while</span>(<span class="hljs-built_in">GPIO_ReadInputDataBit</span>(GPIOC, Key_COL4) == Bit_RESET);<br>		keyNum = <span class="hljs-number">16</span>;<br>	&#125;<br>    <span class="hljs-built_in">Delay_ms</span>(<span class="hljs-number">10</span>);<br>    <br>	<span class="hljs-keyword">return</span> keyNum;<br>&#125;<br><br></code></pre></td></tr></table></figure>
-]]></content>
-      <categories>
-        <category>STM32</category>
-      </categories>
-  </entry>
-  <entry>
-    <title>PaddleDetection</title>
-    <url>/posts/5959.html</url>
-    <content><![CDATA[<blockquote>
-<p>爱来自ZZULI❤<a href="https://luoy-oss.github.io">drluo</a></p>
-</blockquote>
-<p><img src="/img/page/ZZULI.webp" alt=""></p>
-<h1>1. Config 类定义<a href="https://www.paddlepaddle.org.cn/inference/api_reference/python_api_doc/Config/ConfigClass.html#config">¶</a></h1>
-<p><code>Config</code> 类为用于配置构建 <code>Predictor</code> 对象的配置信息，如模型路径、是否开启 gpu 等等。</p>
-<p>构造函数定义如下：</p>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext"># Config 类定义，输入为 None<br>class paddle.inference.Config()<br><br># Config 类定义，输入为其他 Config 对象<br>class paddle.inference.Config(config: Config)<br><br># Config 类定义，输入分别为模型文件路径和参数文件路径<br>class paddle.inference.Config(prog_file: str, params_file: str)<br></code></pre></td></tr></table></figure>
-<p>代码示例：</p>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext"># 引用 paddle inference 预测库<br>import paddle.inference as paddle_infer<br><br># 创建 config<br>config = paddle_infer.Config(&quot;./mobilenet.pdmodel&quot;, &quot;./mobilenet.pdiparams&quot;)<br><br># 根据 config 创建 predictor<br>predictor = paddle_infer.create_predictor(config)<br></code></pre></td></tr></table></figure>
-<h1>2. 设置预测模型<a href="https://www.paddlepaddle.org.cn/inference/api_reference/python_api_doc/Config/ModelConfig.html#shezhiyucemoxing">¶</a></h1>
-<h2 id="2-1-从文件中加载预测模型¶">2.1. 从文件中加载预测模型<a href="https://www.paddlepaddle.org.cn/inference/api_reference/python_api_doc/Config/ModelConfig.html#congwenjianzhongjiazaiyucemoxing">¶</a></h2>
-<p>API定义如下：</p>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext"># 设置模型文件路径，当需要从磁盘加载模型时使用<br># 参数：prog_file_path - 模型文件路径<br>#      params_file_path - 参数文件路径<br># 返回：None<br>paddle.inference.Config.set_model(prog_file_path: str, params_file_path: str)<br><br># 设置模型文件路径<br># 参数：x - 模型文件路径<br># 返回：None<br>paddle.inference.Config.set_prog_file(x: str)<br><br># 设置参数文件路径<br># 参数：x - 参数文件路径<br># 返回：None<br>paddle.inference.Config.set_params_file(x: str)<br><br># 获取模型文件路径<br># 参数：None<br># 返回：str - 模型文件路径<br>paddle.inference.Config.prog_file()<br><br># 获取参数文件路径<br># 参数：None<br># 返回：str - 参数文件路径<br>paddle.inference.Config.params_file()<br></code></pre></td></tr></table></figure>
-<p>代码示例：</p>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext"># 引用 paddle inference 预测库<br>import paddle.inference as paddle_infer<br><br># 创建 config<br>config = paddle_infer.Config()<br><br># 通过 API 设置模型文件夹路径<br>config.set_prog_file(&quot;./mobilenet_v2.pdmodel&quot;)<br>config.set_params_file(&quot;./mobilenet_v2.pdiparams&quot;)<br><br># 通过 API 获取 config 中的模型文件和参数文件路径<br>print(config.prog_file())<br>print(config.params_file())<br><br># 根据 config 创建 predictor<br>predictor = paddle_infer.create_predictor(config)<br></code></pre></td></tr></table></figure>
-<h2 id="2-2-从内存中加载预测模型¶">2.2. 从内存中加载预测模型<a href="https://www.paddlepaddle.org.cn/inference/api_reference/python_api_doc/Config/ModelConfig.html#congneicunzhongjiazaiyucemoxing">¶</a></h2>
-<p>API定义如下：</p>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext"># 从内存加载模型<br># 参数：prog_buffer - 内存中模型结构数据<br>#      prog_buffer_size - 内存中模型结构数据的大小<br>#      params_buffer - 内存中模型参数数据<br>#      params_buffer_size - 内存中模型参数数据的大小<br># 返回：None<br>paddle.inference.Config.set_model_buffer(prog_buffer: str, prog_buffer_size: int, <br>                                         params_buffer: str, params_buffer_size: int)<br><br># 判断是否从内存中加载模型<br># 参数：None<br># 返回：bool - 是否从内存中加载模型<br>paddle.inference.Config.model_from_memory()<br></code></pre></td></tr></table></figure>
-<p>代码示例：</p>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext"># 引用 paddle inference 预测库<br>import paddle.inference as paddle_infer<br><br># 创建 config<br>config = paddle_infer.Config()<br><br># 加载模型文件到内存<br>with open(&#x27;./mobilenet_v2.pdmodel&#x27;, &#x27;rb&#x27;) as prog_file:<br>    prog_data=prog_file.read()<br>    <br>with open(&#x27;./mobilenet_v2.pdiparams&#x27;, &#x27;rb&#x27;) as params_file:<br>    params_data=params_file.read()<br><br># 从内存中加载模型<br>config.set_model_buffer(prog_data, len(prog_data), params_data, len(params_data))<br><br># 通过 API 获取 config 中 model_from_memory 的值 - True<br>print(config.model_from_memory())<br><br># 根据 config 创建 predictor<br>predictor = paddle_infer.create_predictor(config)<br></code></pre></td></tr></table></figure>
-<h1>重要内容</h1>
-<h2 id="paddlepaddle中">paddlepaddle中</h2>
-<ul>
-<li>DynamicDimension ：表示动态维度，一般是1</li>
-<li>im_shape：图像经过resize后的大小，表示为H,W, DynamicDimension 表示batch维度</li>
-<li>image：输入网络的图像，DynamicDimension 表示batch维度，如果输入图像大小为变长，则H,W为None</li>
-<li>scale_factor：输入图像大小比真实图像大小，表示为scale_y, scale_x</li>
-<li>multiclass_nms3_0.tmp_0：bbox, NMS的输出，形状为[N, 6], 其中N为预测框的个数，6为[class_id, score, x1, y1, x2, y2]</li>
-<li>multiclass_nms3_0.tmp_2：bbox_num, 每张图片对应预测框的个数，例如batch_size为2，输出为[N1, N2], 表示第一张图包含N1个预测框，第二张图包含N2个预测框，并且预测框的总个数和NMS输出的第一维N相同</li>
-</ul>
-]]></content>
-      <categories>
-        <category>Paddle</category>
-      </categories>
-      <tags>
-        <tag>Python</tag>
-      </tags>
-  </entry>
-  <entry>
-    <title>easy库的使用</title>
-    <url>/posts/3766.html</url>
-    <content><![CDATA[<h1><a href="https://easyx.cn/">C++easy库</a></h1>
-<h2 id="加载动画">加载动画</h2>
-<p>easyx库本身并没有给出gif的加载函数，所以我们需要通过另一种方式实现gif的“<strong>播放</strong>”</p>
-<blockquote>
-<p>通过将gif图提取出相应关键帧，然后对关键帧进行逐帧播放</p>
-</blockquote>
-<p>以下是代码示例</p>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;graphics.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;conio.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdio.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;iostream&gt;</span></span><br><br>IMAGE images[<span class="hljs-number">92</span>];<span class="hljs-comment">//92张关键帧</span><br><span class="hljs-type">bool</span> isLoaded = <span class="hljs-number">0</span>;<br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">loadImg</span><span class="hljs-params">()</span> </span>&#123;<br>    <span class="hljs-type">wchar_t</span> filename[<span class="hljs-number">20</span>];<br>    <span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; <span class="hljs-number">92</span>; i++) &#123;<br>        <span class="hljs-comment">//这里我是将原有的gif图拆分为了92张关键帧</span><br>        <span class="hljs-built_in">wsprintf</span>(filename, _T(<span class="hljs-string">&quot;../gif/%d.png&quot;</span>), i + <span class="hljs-number">1</span>);<br>        <span class="hljs-built_in">loadimage</span>(&amp;images[i], filename, <span class="hljs-number">1080</span>, <span class="hljs-number">810</span>);<span class="hljs-comment">//读相关图片，并设置读入大小为1080*810</span><br>    &#125;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">loading</span><span class="hljs-params">()</span> </span>&#123;<br>    std::cout &lt;&lt; <span class="hljs-string">&quot;窗口初始化中...&quot;</span> &lt;&lt; std::endl;<br>    <span class="hljs-comment">// 加载关键帧图片</span><br>    <span class="hljs-keyword">if</span> (!isLoaded) &#123;<br>        isLoaded = <span class="hljs-number">1</span>;<br>        <span class="hljs-built_in">loadImg</span>();<br>    &#125;<br>    HWND hwnd = <span class="hljs-built_in">initgraph</span>(<span class="hljs-number">1080</span>, <span class="hljs-number">810</span>); <span class="hljs-comment">// 初始化绘图窗口大小</span><br>    <span class="hljs-built_in">MoveWindow</span>(hwnd, <span class="hljs-number">380</span>, <span class="hljs-number">200</span>, <span class="hljs-number">1096</span>, <span class="hljs-number">849</span>, <span class="hljs-literal">false</span>);<br>	<br>    <span class="hljs-comment">//采用批量绘制，防闪烁</span><br>    <span class="hljs-built_in">BeginBatchDraw</span>();<span class="hljs-comment">//批量绘制开始</span><br><br>    <span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; <span class="hljs-number">92</span>; i++) &#123;<br>        <span class="hljs-built_in">cleardevice</span>(); 				<span class="hljs-comment">// 清空屏幕</span><br>        <span class="hljs-built_in">putimage</span>(<span class="hljs-number">0</span>, <span class="hljs-number">0</span>, &amp;images[i]);	<span class="hljs-comment">// 绘制当前帧图片</span><br>        <span class="hljs-built_in">FlushBatchDraw</span>();			<span class="hljs-comment">// 批量绘制刷新</span><br>        <span class="hljs-built_in">Sleep</span>(<span class="hljs-number">25</span>); 					<span class="hljs-comment">// 控制每帧显示时间，单位为毫秒</span><br>    &#125;<br>    <span class="hljs-built_in">EndBatchDraw</span>();<span class="hljs-comment">//批量绘制结束</span><br>    std::cout &lt;&lt; <span class="hljs-string">&quot;窗口初始化完毕&quot;</span> &lt;&lt; std::endl;<br>&#125;<br><br></code></pre></td></tr></table></figure>
-<hr>
-<h2 id="辅助函数">辅助函数</h2>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;codecvt&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;comutil.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;string&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">pragma</span> comment(lib, <span class="hljs-string">&quot;comsuppw.lib&quot;</span>)</span><br>	<br><span class="hljs-meta">#<span class="hljs-keyword">define</span> _MIN(x,y) (((x)&lt;(y))?(x):(y))</span><br><br><span class="hljs-comment">//wstring转string</span><br><span class="hljs-function">std::string <span class="hljs-title">wstringTostring</span><span class="hljs-params">(<span class="hljs-type">const</span> std::wstring&amp; ws)</span> </span>&#123;<br>    <span class="hljs-type">_bstr_t</span> t = ws.<span class="hljs-built_in">c_str</span>();<br>    <span class="hljs-type">char</span>* pchar = (<span class="hljs-type">char</span>*)t;<br>    std::string result = pchar;<br>    <span class="hljs-keyword">return</span> result;<br>&#125;<br><br><span class="hljs-comment">//string转wstring</span><br><span class="hljs-function">std::wstring <span class="hljs-title">stringTowstring</span><span class="hljs-params">(<span class="hljs-type">const</span> std::string&amp; s)</span> </span>&#123;<br>    <span class="hljs-type">_bstr_t</span> t = s.<span class="hljs-built_in">c_str</span>();<br>    <span class="hljs-type">wchar_t</span>* pwchar = (<span class="hljs-type">wchar_t</span>*)t;<br>    std::wstring result = pwchar;<br>    <span class="hljs-keyword">return</span> result;<br>&#125;<br><br></code></pre></td></tr></table></figure>
+<p><a id='ac6'></a></p>
+<h3 id="AC6编译器对中文支持不好">AC6编译器对中文支持不好</h3>
+<p>项目文件目录若有中文路径，头文件等都无法读取，项目内中文也会被报错</p>
+<p>可参考：<a href="https://blog.csdn.net/weixin_42378319/article/details/108796095">keil 使用AC6 中文警告解决办法</a></p>
 ]]></content>
       <categories>
-        <category>easyx</category>
+        <category>STM32</category>
       </categories>
-      <tags>
-        <tag>C++</tag>
-      </tags>
   </entry>
   <entry>
     <title>edgeboardFZ3A相关问题</title>
@@ -2644,6 +2651,47 @@ set(SERIAL_INCLUDE_DIR “/usr/include/serial”)</p>
         <tag>edgeboard-FZ3A</tag>
       </tags>
   </entry>
+  <entry>
+    <title>easy库的使用</title>
+    <url>/posts/3766.html</url>
+    <content><![CDATA[<h1><a href="https://easyx.cn/">C++easy库</a></h1>
+<h2 id="加载动画">加载动画</h2>
+<p>easyx库本身并没有给出gif的加载函数，所以我们需要通过另一种方式实现gif的“<strong>播放</strong>”</p>
+<blockquote>
+<p>通过将gif图提取出相应关键帧，然后对关键帧进行逐帧播放</p>
+</blockquote>
+<p>以下是代码示例</p>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;graphics.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;conio.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdio.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;iostream&gt;</span></span><br><br>IMAGE images[<span class="hljs-number">92</span>];<span class="hljs-comment">//92张关键帧</span><br><span class="hljs-type">bool</span> isLoaded = <span class="hljs-number">0</span>;<br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">loadImg</span><span class="hljs-params">()</span> </span>&#123;<br>    <span class="hljs-type">wchar_t</span> filename[<span class="hljs-number">20</span>];<br>    <span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; <span class="hljs-number">92</span>; i++) &#123;<br>        <span class="hljs-comment">//这里我是将原有的gif图拆分为了92张关键帧</span><br>        <span class="hljs-built_in">wsprintf</span>(filename, _T(<span class="hljs-string">&quot;../gif/%d.png&quot;</span>), i + <span class="hljs-number">1</span>);<br>        <span class="hljs-built_in">loadimage</span>(&amp;images[i], filename, <span class="hljs-number">1080</span>, <span class="hljs-number">810</span>);<span class="hljs-comment">//读相关图片，并设置读入大小为1080*810</span><br>    &#125;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">loading</span><span class="hljs-params">()</span> </span>&#123;<br>    std::cout &lt;&lt; <span class="hljs-string">&quot;窗口初始化中...&quot;</span> &lt;&lt; std::endl;<br>    <span class="hljs-comment">// 加载关键帧图片</span><br>    <span class="hljs-keyword">if</span> (!isLoaded) &#123;<br>        isLoaded = <span class="hljs-number">1</span>;<br>        <span class="hljs-built_in">loadImg</span>();<br>    &#125;<br>    HWND hwnd = <span class="hljs-built_in">initgraph</span>(<span class="hljs-number">1080</span>, <span class="hljs-number">810</span>); <span class="hljs-comment">// 初始化绘图窗口大小</span><br>    <span class="hljs-built_in">MoveWindow</span>(hwnd, <span class="hljs-number">380</span>, <span class="hljs-number">200</span>, <span class="hljs-number">1096</span>, <span class="hljs-number">849</span>, <span class="hljs-literal">false</span>);<br>	<br>    <span class="hljs-comment">//采用批量绘制，防闪烁</span><br>    <span class="hljs-built_in">BeginBatchDraw</span>();<span class="hljs-comment">//批量绘制开始</span><br><br>    <span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; <span class="hljs-number">92</span>; i++) &#123;<br>        <span class="hljs-built_in">cleardevice</span>(); 				<span class="hljs-comment">// 清空屏幕</span><br>        <span class="hljs-built_in">putimage</span>(<span class="hljs-number">0</span>, <span class="hljs-number">0</span>, &amp;images[i]);	<span class="hljs-comment">// 绘制当前帧图片</span><br>        <span class="hljs-built_in">FlushBatchDraw</span>();			<span class="hljs-comment">// 批量绘制刷新</span><br>        <span class="hljs-built_in">Sleep</span>(<span class="hljs-number">25</span>); 					<span class="hljs-comment">// 控制每帧显示时间，单位为毫秒</span><br>    &#125;<br>    <span class="hljs-built_in">EndBatchDraw</span>();<span class="hljs-comment">//批量绘制结束</span><br>    std::cout &lt;&lt; <span class="hljs-string">&quot;窗口初始化完毕&quot;</span> &lt;&lt; std::endl;<br>&#125;<br><br></code></pre></td></tr></table></figure>
+<hr>
+<h2 id="辅助函数">辅助函数</h2>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;codecvt&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;comutil.h&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;string&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">pragma</span> comment(lib, <span class="hljs-string">&quot;comsuppw.lib&quot;</span>)</span><br>	<br><span class="hljs-meta">#<span class="hljs-keyword">define</span> _MIN(x,y) (((x)&lt;(y))?(x):(y))</span><br><br><span class="hljs-comment">//wstring转string</span><br><span class="hljs-function">std::string <span class="hljs-title">wstringTostring</span><span class="hljs-params">(<span class="hljs-type">const</span> std::wstring&amp; ws)</span> </span>&#123;<br>    <span class="hljs-type">_bstr_t</span> t = ws.<span class="hljs-built_in">c_str</span>();<br>    <span class="hljs-type">char</span>* pchar = (<span class="hljs-type">char</span>*)t;<br>    std::string result = pchar;<br>    <span class="hljs-keyword">return</span> result;<br>&#125;<br><br><span class="hljs-comment">//string转wstring</span><br><span class="hljs-function">std::wstring <span class="hljs-title">stringTowstring</span><span class="hljs-params">(<span class="hljs-type">const</span> std::string&amp; s)</span> </span>&#123;<br>    <span class="hljs-type">_bstr_t</span> t = s.<span class="hljs-built_in">c_str</span>();<br>    <span class="hljs-type">wchar_t</span>* pwchar = (<span class="hljs-type">wchar_t</span>*)t;<br>    std::wstring result = pwchar;<br>    <span class="hljs-keyword">return</span> result;<br>&#125;<br><br></code></pre></td></tr></table></figure>
+]]></content>
+      <categories>
+        <category>easyx</category>
+      </categories>
+      <tags>
+        <tag>C++</tag>
+      </tags>
+  </entry>
+  <entry>
+    <title>Hello World</title>
+    <url>/posts/16107.html</url>
+    <content><![CDATA[<p>Welcome to <a href="https://hexo.io/">Hexo</a>! This is your very first post. Check <a href="https://hexo.io/docs/">documentation</a> for more info. If you get any problems when using Hexo, you can find the answer in <a href="https://hexo.io/docs/troubleshooting.html">troubleshooting</a> or you can ask me on <a href="https://github.com/hexojs/hexo/issues">GitHub</a>.</p>
+<h2 id="Quick-Start">Quick Start</h2>
+<h3 id="Create-a-new-post">Create a new post</h3>
+<figure class="highlight bash"><table><tr><td class="code"><pre><code class="hljs bash">$ hexo new <span class="hljs-string">&quot;My New Post&quot;</span><br></code></pre></td></tr></table></figure>
+<p>More info: <a href="https://hexo.io/docs/writing.html">Writing</a></p>
+<h3 id="Run-server">Run server</h3>
+<figure class="highlight bash"><table><tr><td class="code"><pre><code class="hljs bash">$ hexo server<br></code></pre></td></tr></table></figure>
+<p>More info: <a href="https://hexo.io/docs/server.html">Server</a></p>
+<h3 id="Generate-static-files">Generate static files</h3>
+<figure class="highlight bash"><table><tr><td class="code"><pre><code class="hljs bash">$ hexo generate<br></code></pre></td></tr></table></figure>
+<p>More info: <a href="https://hexo.io/docs/generating.html">Generating</a></p>
+<h3 id="Deploy-to-remote-sites">Deploy to remote sites</h3>
+<figure class="highlight bash"><table><tr><td class="code"><pre><code class="hljs bash">$ hexo deploy<br></code></pre></td></tr></table></figure>
+<p>More info: <a href="https://hexo.io/docs/one-command-deployment.html">Deployment</a></p>
+]]></content>
+  </entry>
   <entry>
     <title>yolo和paddle模型常见输出参数</title>
     <url>/posts/40355.html</url>
@@ -2697,6 +2745,14 @@ set(SERIAL_INCLUDE_DIR “/usr/include/serial”)</p>
         <tag>yolo</tag>
       </tags>
   </entry>
+  <entry>
+    <title>一个特别的日子</title>
+    <url>/posts/21795.html</url>
+    <content><![CDATA[]]></content>
+      <categories>
+        <category>我</category>
+      </categories>
+  </entry>
   <entry>
     <title>《树》</title>
     <url>/posts/11924.html</url>
@@ -2807,25 +2863,6 @@ $题目保证 (ui, vi) 所表示的边互不相同。$</p>
         <tag>枚举</tag>
       </tags>
   </entry>
-  <entry>
-    <title>Hello World</title>
-    <url>/posts/16107.html</url>
-    <content><![CDATA[<p>Welcome to <a href="https://hexo.io/">Hexo</a>! This is your very first post. Check <a href="https://hexo.io/docs/">documentation</a> for more info. If you get any problems when using Hexo, you can find the answer in <a href="https://hexo.io/docs/troubleshooting.html">troubleshooting</a> or you can ask me on <a href="https://github.com/hexojs/hexo/issues">GitHub</a>.</p>
-<h2 id="Quick-Start">Quick Start</h2>
-<h3 id="Create-a-new-post">Create a new post</h3>
-<figure class="highlight bash"><table><tr><td class="code"><pre><code class="hljs bash">$ hexo new <span class="hljs-string">&quot;My New Post&quot;</span><br></code></pre></td></tr></table></figure>
-<p>More info: <a href="https://hexo.io/docs/writing.html">Writing</a></p>
-<h3 id="Run-server">Run server</h3>
-<figure class="highlight bash"><table><tr><td class="code"><pre><code class="hljs bash">$ hexo server<br></code></pre></td></tr></table></figure>
-<p>More info: <a href="https://hexo.io/docs/server.html">Server</a></p>
-<h3 id="Generate-static-files">Generate static files</h3>
-<figure class="highlight bash"><table><tr><td class="code"><pre><code class="hljs bash">$ hexo generate<br></code></pre></td></tr></table></figure>
-<p>More info: <a href="https://hexo.io/docs/generating.html">Generating</a></p>
-<h3 id="Deploy-to-remote-sites">Deploy to remote sites</h3>
-<figure class="highlight bash"><table><tr><td class="code"><pre><code class="hljs bash">$ hexo deploy<br></code></pre></td></tr></table></figure>
-<p>More info: <a href="https://hexo.io/docs/one-command-deployment.html">Deployment</a></p>
-]]></content>
-  </entry>
   <entry>
     <title>一道集众多技巧于一身的题目——《密文游戏》</title>
     <url>/posts/26220.html</url>
@@ -3079,41 +3116,31 @@ $$</p>
       </tags>
   </entry>
   <entry>
-    <title>一个特别的日子</title>
-    <url>/posts/21795.html</url>
-    <content><![CDATA[]]></content>
-      <categories>
-        <category>我</category>
-      </categories>
-  </entry>
-  <entry>
-    <title>STM32GPIO八种输入输出模式</title>
-    <url>/posts/36643.html</url>
-    <content><![CDATA[<h2 id="STM32-GPIO"><strong>STM32</strong> GPIO</h2>
-<p><img src="/img/page/stm32GPIO/gpio.png" alt="img"></p>
-<h2 id="1-GPIO-MODE-AIN-模拟输入">1. GPIO_MODE_AIN 模拟输入</h2>
-<p>输入信号不经施密特触发器直接接入，<strong>输入信号为模拟量</strong>而非数字量，其余输入方式输入数字量。</p>
-<h2 id="2-GPIO-MODE-IN-FLOATING-浮空输入">2. GPIO_MODE_IN_FLOATING 浮空输入</h2>
-<p>输入信号经过施密特触发器接入输入数据存储器。<strong>当无信号输入时，电压不确定</strong>。因为浮空输入既<strong>高阻输入</strong>，可以认为输入端口阻抗无穷大，这样可以检测到微弱的信号。（相当于电压表测电压，如果电压表内阻不够大而外部阻抗比较大，则电压表分压会比较小）。此时输入高电平即高电平，输入低电平即低电平。但是外界没有输入时输入电平却容易受到外界电磁以及各种玄学干扰的影响。如按键采用浮空输入，则在按键按下时输入电平为低，但是当松开按键时输入端口悬空，外界有微弱的干扰都会被端口检测到。此时端口可能高，也可能低。</p>
-<h2 id="3-GPIO-MODE-IPD-下拉输入">3. GPIO_MODE_IPD 下拉输入</h2>
-<p>浮空输入在外界没有输入时状态不确定，可能对电路造成干扰。为了使得电路更加稳定，不出现没有输入时端口的输入数据被干扰 （比如手碰一下电压就发生变化）。这时就需要下拉电阻（或上拉电阻）,此电阻与端口输入阻抗相比仍然较小。有输入信号时端口读取输入信号，<strong>无输入信号时端口电平被拉到低电平（高电平）</strong>。</p>
-<h2 id="4-GPIO-MODE-IPU-上拉输入">4. GPIO_MODE_IPU 上拉输入</h2>
-<p>上拉输入与下拉输入类似，只是<strong>无输入信号时端口电平被拉到高电平</strong>。例如按键信号，当按下时输入低电平，松开时电平被拉到高电平。这样就不会出现按键松开时端口电平不确定的情况。即不知道时按下还是松开。</p>
-<h2 id="5-GPIO-MODE-OUT-OD-开漏输出">5. GPIO-MODE_OUT_OD 开漏输出</h2>
-<p><img src="/img/page/stm32GPIO/od.png" alt="img"></p>
-<p>开漏输出即<strong>漏极开路输出</strong>。这种输出方式指场效应管漏极开路输出。<strong>需要接上拉电阻才能输出1</strong>。漏极经上拉电阻接到电源，栅极输出0时，场效应管截止（阻抗无线大），电压被分到场效应管上，此时输出为1。当栅极输出1时，场效应管导通，输出端口相当于接地，此时输出0。开漏输出高电平时是由外接电源输出的，因此可以实现高于输出端口电压的输出。可以实现电平的转换。<strong>开漏输出可以实现线与功能</strong>，方法是多个输出共接一个上拉电阻。但是漏极开路输出<strong>上升沿慢</strong>，因为上升沿是外接电源对上拉电阻以及外接负载充电。当上拉电阻较大或者负载容性较大时时间常数较大，充电较慢。<strong>需要较快反映时可以采用下降沿触发</strong>，此时没有电阻接入，电路的时间常数较小，充电较快。</p>
-<h2 id="6-GPIO-MODE-OUT-PP-推挽输出">6. GPIO_MODE_OUT_PP 推挽输出</h2>
-<p><img src="/img/page/stm32GPIO/pp.png" alt="img"></p>
-<p><strong>推挽输出既可以输出1，又可以输出0</strong>。但是无法调节输出电压，因为输出高低电平均为三极管输入端电压，此电压在由芯片内部供电，无法改变。推挽输出任意时刻只有一路工作。上图为输出高电平时电路工作状态。只有三极管导通电阻，无外接电阻。因此推挽输出<strong>损耗小、速度快</strong>。</p>
-<h2 id="7-GPIO-MODE-AF-OD-复用开漏输出">7. GPIO_MODE_AF_OD 复用开漏输出</h2>
-<p>STM32单片机内部有其他的外设，比如定时器、DAC等。复用开漏输出与普通开漏输出区别在于，开漏输出输出的是输出数据寄存器中的数据，<strong>复用开漏输出输出的是来自外设的数据</strong>。</p>
-<h2 id="8-GOIO-MODE-AF-PP-复用推挽输出">8. GOIO_MODE_AF_PP 复用推挽输出</h2>
-<p><strong>复用推挽输出原理与复用开漏输出原理相同</strong></p>
-<p>文章转载自知乎<a href="https://zhuanlan.zhihu.com/p/113367004">STM32 GPIO八种输入输出模式 - 知乎 (zhihu.com)</a></p>
+    <title>二叉树的同构</title>
+    <url>/posts/50176.html</url>
+    <content><![CDATA[<h1>关于二叉树的同构</h1>
+<p><img src="/img/page/tree/Isomorphism.webp" alt=""></p>
+<hr>
+<blockquote>
+<p><strong>一种可行的方法(基于数组的二叉树)</strong></p>
+</blockquote>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-keyword">struct</span> <span class="hljs-title class_">ArrTree</span> &#123;<br>	<span class="hljs-type">char</span> data;<br>	<span class="hljs-type">int</span> left;<br>	<span class="hljs-type">int</span> right;<br>&#125;A1T[<span class="hljs-number">100</span>], A2T[<span class="hljs-number">100</span>];<span class="hljs-comment">//</span><br><span class="hljs-type">bool</span> check[<span class="hljs-number">100</span>];<br><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////构建函数，基于数组的二叉树/////////////////////////</span><br><br><span class="hljs-comment">/*</span><br><span class="hljs-comment">构建输入的例子：</span><br><span class="hljs-comment">可以从根结点开始</span><br><span class="hljs-comment">8</span><br><span class="hljs-comment">A 1 2</span><br><span class="hljs-comment">B 3 4</span><br><span class="hljs-comment">C 5 -</span><br><span class="hljs-comment">D - -</span><br><span class="hljs-comment">E 6 -</span><br><span class="hljs-comment">G 7 -</span><br><span class="hljs-comment">F - -</span><br><span class="hljs-comment">H - -</span><br><span class="hljs-comment"></span><br><span class="hljs-comment"></span><br><span class="hljs-comment">可以不从根结点开始</span><br><span class="hljs-comment">8</span><br><span class="hljs-comment">G - 4</span><br><span class="hljs-comment">B 7 6</span><br><span class="hljs-comment">F - -</span><br><span class="hljs-comment">A 5 1</span><br><span class="hljs-comment">H - -</span><br><span class="hljs-comment">C 0 -</span><br><span class="hljs-comment">D - -</span><br><span class="hljs-comment">E 2 -</span><br><span class="hljs-comment"></span><br><span class="hljs-comment">*/</span><br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">AtBuild</span><span class="hljs-params">(ArrTree AT[])</span> </span>&#123;<br>	<span class="hljs-type">int</span> root = <span class="hljs-number">0</span>;<br><br>	<span class="hljs-type">int</span> n;<br>	cin &gt;&gt; n;<br><br>	<span class="hljs-type">char</span> left, right;<br>	<span class="hljs-keyword">if</span> (n) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; n; i++)check[i] = <span class="hljs-literal">false</span>;<br><br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; n; i++) &#123;<br>			cin &gt;&gt; AT[i].data &gt;&gt; left &gt;&gt; right;<br>			<span class="hljs-keyword">if</span> (left != <span class="hljs-string">&#x27;-&#x27;</span>) &#123;<br>				AT[i].left = left - <span class="hljs-string">&#x27;0&#x27;</span>;<br>				check[AT[i].left] = <span class="hljs-number">1</span>;<br>			&#125;<br>			<span class="hljs-keyword">else</span> &#123;<br>				AT[i].left = <span class="hljs-number">-1</span>;<br>			&#125;<br><br>			<span class="hljs-keyword">if</span> (right != <span class="hljs-string">&#x27;-&#x27;</span>) &#123;<br>				AT[i].right = right - <span class="hljs-string">&#x27;0&#x27;</span>;<br>				check[AT[i].right] = <span class="hljs-number">1</span>;<br>			&#125;<br>			<span class="hljs-keyword">else</span> &#123;<br>				AT[i].right = <span class="hljs-number">-1</span>;<br>			&#125;<br>		&#125;<br>	<br>        <br>        <span class="hljs-comment">// 没有被任何结点指向的结点即为根节点</span><br>        <span class="hljs-comment">// 例子见下方图片</span><br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; n; i++) &#123;<br>			<span class="hljs-keyword">if</span> (!check[i]) &#123;<br>				root = i;<br>				<span class="hljs-keyword">break</span>;<br>			&#125;<br>		&#125;<br>        <br>	&#125;<br>	<br>	<span class="hljs-keyword">return</span> root;<br>&#125;<br><br><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">//////////////////////////同构检查函数/////////////////////////////</span><br><br><span class="hljs-function"><span class="hljs-type">bool</span> <span class="hljs-title">Isomorphic</span><span class="hljs-params">(ArrTree* AT1, ArrTree* AT2, <span class="hljs-type">int</span> ATR1, <span class="hljs-type">int</span> ATR2)</span></span>&#123;<br>    <span class="hljs-comment">// 同构返回1，不同构返回2</span><br>    <br>    <br>	<span class="hljs-keyword">if</span> (ATR1 == <span class="hljs-number">-1</span> &amp;&amp; ATR2 == <span class="hljs-number">-1</span>)<br>		<span class="hljs-keyword">return</span> <span class="hljs-literal">true</span>;<br>	<span class="hljs-keyword">if</span> ((ATR1 == <span class="hljs-number">-1</span> &amp;&amp; ATR2 == <span class="hljs-number">-1</span>) || ATR1 != <span class="hljs-number">-1</span> &amp;&amp; ATR2 == <span class="hljs-number">-1</span>)<br>		<span class="hljs-keyword">return</span> <span class="hljs-literal">false</span>;<br>	<span class="hljs-keyword">if</span> (AT1[ATR1].left == <span class="hljs-number">-1</span> &amp;&amp; AT2[ATR2].left == <span class="hljs-number">-1</span>)<br>		<span class="hljs-keyword">return</span> <span class="hljs-built_in">Isomorphic</span>(AT1, AT2, AT1[ATR1].right, AT2[ATR2].right);<br>	<span class="hljs-keyword">if</span> ((AT1[ATR1].left != <span class="hljs-number">-1</span> &amp;&amp; AT2[ATR2].left != <span class="hljs-number">-1</span>) &amp;&amp; (AT1[AT1[ATR1].left].data == AT2[AT2[ATR2].left].data))<br>		<span class="hljs-keyword">return</span> (<span class="hljs-built_in">Isomorphic</span>(AT1, AT2, AT1[ATR1].left, AT2[ATR2].left)<br>			&amp;&amp; <span class="hljs-built_in">Isomorphic</span>(AT1, AT2, AT1[ATR1].right, AT2[ATR2].right));<br>	<span class="hljs-keyword">else</span><br>		<span class="hljs-built_in">return</span> (<span class="hljs-built_in">Isomorphic</span>(AT1, AT2, AT1[ATR1].left, AT2[ATR2].right)<br>			&amp;&amp; <span class="hljs-built_in">Isomorphic</span>(AT1, AT2, AT1[ATR1].right, AT2[ATR2].left));<br>&#125;<br><br></code></pre></td></tr></table></figure>
+<hr>
+<blockquote>
+<p><strong>没有被任何结点指向的结点即为根节点</strong> 示例</p>
+</blockquote>
+<p>存在的结点为0 1 3 4</p>
+<p>其中 0 3 4 有在数组中出现，而1没有出现，说明下标1的数组中存的即是根结点</p>
+<p><img src="/img/page/tree/eg1.webp" alt="没有被任何结点指向的结点即为根节点"></p>
+<hr>
 ]]></content>
       <categories>
-        <category>STM32</category>
+        <category>C++</category>
       </categories>
+      <tags>
+        <tag>树</tag>
+        <tag>二叉树</tag>
+      </tags>
   </entry>
   <entry>
     <title>二叉树的遍历</title>
@@ -3148,33 +3175,6 @@ $$</p>
         <tag>二叉树</tag>
       </tags>
   </entry>
-  <entry>
-    <title>二叉树的同构</title>
-    <url>/posts/50176.html</url>
-    <content><![CDATA[<h1>关于二叉树的同构</h1>
-<p><img src="/img/page/tree/Isomorphism.webp" alt=""></p>
-<hr>
-<blockquote>
-<p><strong>一种可行的方法(基于数组的二叉树)</strong></p>
-</blockquote>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-keyword">struct</span> <span class="hljs-title class_">ArrTree</span> &#123;<br>	<span class="hljs-type">char</span> data;<br>	<span class="hljs-type">int</span> left;<br>	<span class="hljs-type">int</span> right;<br>&#125;A1T[<span class="hljs-number">100</span>], A2T[<span class="hljs-number">100</span>];<span class="hljs-comment">//</span><br><span class="hljs-type">bool</span> check[<span class="hljs-number">100</span>];<br><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////构建函数，基于数组的二叉树/////////////////////////</span><br><br><span class="hljs-comment">/*</span><br><span class="hljs-comment">构建输入的例子：</span><br><span class="hljs-comment">可以从根结点开始</span><br><span class="hljs-comment">8</span><br><span class="hljs-comment">A 1 2</span><br><span class="hljs-comment">B 3 4</span><br><span class="hljs-comment">C 5 -</span><br><span class="hljs-comment">D - -</span><br><span class="hljs-comment">E 6 -</span><br><span class="hljs-comment">G 7 -</span><br><span class="hljs-comment">F - -</span><br><span class="hljs-comment">H - -</span><br><span class="hljs-comment"></span><br><span class="hljs-comment"></span><br><span class="hljs-comment">可以不从根结点开始</span><br><span class="hljs-comment">8</span><br><span class="hljs-comment">G - 4</span><br><span class="hljs-comment">B 7 6</span><br><span class="hljs-comment">F - -</span><br><span class="hljs-comment">A 5 1</span><br><span class="hljs-comment">H - -</span><br><span class="hljs-comment">C 0 -</span><br><span class="hljs-comment">D - -</span><br><span class="hljs-comment">E 2 -</span><br><span class="hljs-comment"></span><br><span class="hljs-comment">*/</span><br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">AtBuild</span><span class="hljs-params">(ArrTree AT[])</span> </span>&#123;<br>	<span class="hljs-type">int</span> root = <span class="hljs-number">0</span>;<br><br>	<span class="hljs-type">int</span> n;<br>	cin &gt;&gt; n;<br><br>	<span class="hljs-type">char</span> left, right;<br>	<span class="hljs-keyword">if</span> (n) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; n; i++)check[i] = <span class="hljs-literal">false</span>;<br><br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; n; i++) &#123;<br>			cin &gt;&gt; AT[i].data &gt;&gt; left &gt;&gt; right;<br>			<span class="hljs-keyword">if</span> (left != <span class="hljs-string">&#x27;-&#x27;</span>) &#123;<br>				AT[i].left = left - <span class="hljs-string">&#x27;0&#x27;</span>;<br>				check[AT[i].left] = <span class="hljs-number">1</span>;<br>			&#125;<br>			<span class="hljs-keyword">else</span> &#123;<br>				AT[i].left = <span class="hljs-number">-1</span>;<br>			&#125;<br><br>			<span class="hljs-keyword">if</span> (right != <span class="hljs-string">&#x27;-&#x27;</span>) &#123;<br>				AT[i].right = right - <span class="hljs-string">&#x27;0&#x27;</span>;<br>				check[AT[i].right] = <span class="hljs-number">1</span>;<br>			&#125;<br>			<span class="hljs-keyword">else</span> &#123;<br>				AT[i].right = <span class="hljs-number">-1</span>;<br>			&#125;<br>		&#125;<br>	<br>        <br>        <span class="hljs-comment">// 没有被任何结点指向的结点即为根节点</span><br>        <span class="hljs-comment">// 例子见下方图片</span><br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; n; i++) &#123;<br>			<span class="hljs-keyword">if</span> (!check[i]) &#123;<br>				root = i;<br>				<span class="hljs-keyword">break</span>;<br>			&#125;<br>		&#125;<br>        <br>	&#125;<br>	<br>	<span class="hljs-keyword">return</span> root;<br>&#125;<br><br><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">/////////////////////////////////////////////////////////////////</span><br><span class="hljs-comment">//////////////////////////同构检查函数/////////////////////////////</span><br><br><span class="hljs-function"><span class="hljs-type">bool</span> <span class="hljs-title">Isomorphic</span><span class="hljs-params">(ArrTree* AT1, ArrTree* AT2, <span class="hljs-type">int</span> ATR1, <span class="hljs-type">int</span> ATR2)</span></span>&#123;<br>    <span class="hljs-comment">// 同构返回1，不同构返回2</span><br>    <br>    <br>	<span class="hljs-keyword">if</span> (ATR1 == <span class="hljs-number">-1</span> &amp;&amp; ATR2 == <span class="hljs-number">-1</span>)<br>		<span class="hljs-keyword">return</span> <span class="hljs-literal">true</span>;<br>	<span class="hljs-keyword">if</span> ((ATR1 == <span class="hljs-number">-1</span> &amp;&amp; ATR2 == <span class="hljs-number">-1</span>) || ATR1 != <span class="hljs-number">-1</span> &amp;&amp; ATR2 == <span class="hljs-number">-1</span>)<br>		<span class="hljs-keyword">return</span> <span class="hljs-literal">false</span>;<br>	<span class="hljs-keyword">if</span> (AT1[ATR1].left == <span class="hljs-number">-1</span> &amp;&amp; AT2[ATR2].left == <span class="hljs-number">-1</span>)<br>		<span class="hljs-keyword">return</span> <span class="hljs-built_in">Isomorphic</span>(AT1, AT2, AT1[ATR1].right, AT2[ATR2].right);<br>	<span class="hljs-keyword">if</span> ((AT1[ATR1].left != <span class="hljs-number">-1</span> &amp;&amp; AT2[ATR2].left != <span class="hljs-number">-1</span>) &amp;&amp; (AT1[AT1[ATR1].left].data == AT2[AT2[ATR2].left].data))<br>		<span class="hljs-keyword">return</span> (<span class="hljs-built_in">Isomorphic</span>(AT1, AT2, AT1[ATR1].left, AT2[ATR2].left)<br>			&amp;&amp; <span class="hljs-built_in">Isomorphic</span>(AT1, AT2, AT1[ATR1].right, AT2[ATR2].right));<br>	<span class="hljs-keyword">else</span><br>		<span class="hljs-built_in">return</span> (<span class="hljs-built_in">Isomorphic</span>(AT1, AT2, AT1[ATR1].left, AT2[ATR2].right)<br>			&amp;&amp; <span class="hljs-built_in">Isomorphic</span>(AT1, AT2, AT1[ATR1].right, AT2[ATR2].left));<br>&#125;<br><br></code></pre></td></tr></table></figure>
-<hr>
-<blockquote>
-<p><strong>没有被任何结点指向的结点即为根节点</strong> 示例</p>
-</blockquote>
-<p>存在的结点为0 1 3 4</p>
-<p>其中 0 3 4 有在数组中出现，而1没有出现，说明下标1的数组中存的即是根结点</p>
-<p><img src="/img/page/tree/eg1.webp" alt="没有被任何结点指向的结点即为根节点"></p>
-<hr>
-]]></content>
-      <categories>
-        <category>C++</category>
-      </categories>
-      <tags>
-        <tag>树</tag>
-        <tag>二叉树</tag>
-      </tags>
-  </entry>
   <entry>
     <title>二叉树的遍历序列转换</title>
     <url>/posts/57450.html</url>
@@ -3201,68 +3201,6 @@ $$</p>
         <tag>二叉树</tag>
       </tags>
   </entry>
-  <entry>
-    <title>回溯</title>
-    <url>/posts/60046.html</url>
-    <content><![CDATA[<h1>1</h1>
-<h3 id="题目描述">题目描述</h3>
-<p>赛场内 <em>n</em> (0&lt;<em>n</em>≤10) 名短跑运动员正在参加百米短跑比赛。赛场外有 <em>m</em> (0&lt;<em>m</em>≤100) 名热心观众，他们每人都对比赛结果作出了 2 个预测。比赛结束后，运动员的名次各不相同，但令人惊奇的是每位观众都猜对了一半。请问这些运动员取得的实际名次是多少？</p>
-<p>例如场内有 4 名运动员参加比赛，场外 3 名观众的预测分别为：</p>
-<ul>
-<li>1 号运动员名次为 1，2 号运动员名次为 3</li>
-<li>3 号运动员名次为 1，4 号运动员名次为 4</li>
-<li>4 号运动员名次为 2，1 号运动员名次为 3</li>
-</ul>
-<p>由每人猜对一半推理可知：</p>
-<ul>
-<li>1 号运动员名次为 4</li>
-<li>2 号运动员名次为 3</li>
-<li>3 号运动员名次为 1</li>
-<li>4 号运动员名次为 2</li>
-</ul>
-<p>请编写程序，根据观众的预测来推算运动员的实际名次。</p>
-<h3 id="输入格式">输入格式</h3>
-<blockquote>
-<p>两个正整数 <em>n</em> 和 <em>m</em> (运动员人数、观众人数)<br>
-随后有 <em>m</em> 行数据，每行包含 4 个整数，为 <em>m</em> 位观众的预测<br>
-每行包含的 4 个整数 <em>x</em>1、<em>r</em>1 和 <em>x</em>2、<em>r</em>2 表示该观众的两个预测：<br>
-<em>x</em>1 号运动员名次为 <em>r</em>1，<em>x</em>2 号运动员名次为 <em>r</em>2</p>
-</blockquote>
-<p>说明：</p>
-<ul>
-<li><em>n</em> 名运行员的编号为从 1 到 <em>n</em> 的正整数，无重号和跳号。</li>
-<li><em>n</em> 名运动员的名次为从 1 到 <em>n</em> 的正整数，无并列的情况。</li>
-</ul>
-<h3 id="输出格式">输出格式</h3>
-<blockquote>
-<p>若问题无解，则输出 None。<br>
-若问题有解，则输出多行数据，每一行表示一个答案，按字典序输出。<br>
-每一行包含 <em>n</em> 个整数，分别是 1 ~ <em>n</em> 号运动员取得的实际名次。</p>
-</blockquote>
-<h3 id="样例-1">样例 #1</h3>
-<h4 id="样例输入-1">样例输入 #1</h4>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">4 3<br>1 1 2 3<br>3 1 4 4<br>4 2 1 3<br></code></pre></td></tr></table></figure>
-<h4 id="样例输出-1">样例输出 #1</h4>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">4 3 1 2<br></code></pre></td></tr></table></figure>
-<h4 id="样例输入-2">样例输入 #2</h4>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">4 3<br>3 4 2 1<br>4 3 3 2<br>1 4 2 3<br></code></pre></td></tr></table></figure>
-<h4 id="样例输出-2">样例输出 #2</h4>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">None<br></code></pre></td></tr></table></figure>
-<h4 id="样例输入-3">样例输入 #3</h4>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">4 3<br>2 4 4 1<br>4 2 2 3<br>3 4 1 1<br></code></pre></td></tr></table></figure>
-<h4 id="样例输出-3">样例输出 #3</h4>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">1 4 3 2<br>2 3 4 1<br></code></pre></td></tr></table></figure>
-<h2 id="AC代码"><strong>AC代码</strong></h2>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;iostream&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;algorithm&gt;</span></span><br><span class="hljs-keyword">using</span> <span class="hljs-keyword">namespace</span> std;<br><br><span class="hljs-type">int</span> audienceGuess[<span class="hljs-number">101</span>][<span class="hljs-number">5</span>];<span class="hljs-comment">//观众猜测</span><br><span class="hljs-type">bool</span> guessTrue[<span class="hljs-number">11</span>];<span class="hljs-comment">//猜测成立</span><br><span class="hljs-type">int</span> n, m;<br><span class="hljs-type">int</span> ansSchemes;<span class="hljs-comment">//结果数量 10! = 3628800</span><br><br><span class="hljs-keyword">struct</span> &#123;<br>	<span class="hljs-type">int</span> rank;<br>	<span class="hljs-type">int</span> failNum;<br>	<span class="hljs-type">int</span> guess[<span class="hljs-number">101</span>];<br>&#125;athletes[<span class="hljs-number">11</span>];<br><span class="hljs-comment">//rank[]为每个方案运动员的名次，sum保存每个方案运动员名次的十进制整数 </span><br><span class="hljs-keyword">struct</span> <span class="hljs-title class_">Guess</span> &#123;<br>	<span class="hljs-type">int</span> rank[<span class="hljs-number">11</span>];<br>&#125; ans[<span class="hljs-number">368800</span>];<br><br><span class="hljs-function"><span class="hljs-type">bool</span> <span class="hljs-title">checkRank</span><span class="hljs-params">(<span class="hljs-type">int</span> index, <span class="hljs-type">int</span> rank)</span> </span>&#123;<br>	<span class="hljs-type">int</span> i;<br>	<span class="hljs-keyword">for</span> (i = <span class="hljs-number">0</span>; i &lt; athletes[index].failNum; i++) &#123;<br>		<span class="hljs-keyword">if</span> (athletes[index].guess[i] == rank) &#123;<br>			<span class="hljs-keyword">return</span> <span class="hljs-literal">false</span>;<br>		&#125;<br>	&#125;<br>	<span class="hljs-keyword">return</span> <span class="hljs-literal">true</span>;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">fix</span><span class="hljs-params">(<span class="hljs-type">int</span> index)</span> </span>&#123;<span class="hljs-comment">//回溯法把剩余没有名次的运动员根据约束条件补齐 </span><br>	<span class="hljs-keyword">if</span> (index &gt; n) &#123;<br>		<span class="hljs-comment">//保存其中一种结果</span><br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= n; i++) &#123;<br>			ans[ansSchemes].rank[i] = athletes[i].rank;<br>		&#125;<br>		ansSchemes++;<br>	&#125;<br>	<span class="hljs-keyword">else</span> &#123;<br><br>		<span class="hljs-comment">//当前运动员没有名次</span><br>		<span class="hljs-keyword">if</span> (athletes[index].rank == <span class="hljs-number">0</span>) &#123;<br>			<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= n; i++) &#123;<br>				<span class="hljs-keyword">if</span> (!guessTrue[i] &amp;&amp; <span class="hljs-built_in">checkRank</span>(index, i)) &#123;<span class="hljs-comment">//名次i未被标记且第index个运动员的名次i不在假名次中 </span><br>					athletes[index].rank = i;<br>					guessTrue[i] = <span class="hljs-literal">true</span>;<br>					<span class="hljs-built_in">fix</span>(index + <span class="hljs-number">1</span>);<br>					athletes[index].rank = <span class="hljs-number">0</span>;<br>					guessTrue[i] = <span class="hljs-literal">false</span>;<br>				&#125;<br>			&#125;<br>		&#125;<br>		<span class="hljs-keyword">else</span> &#123;<br>			<span class="hljs-built_in">fix</span>(index + <span class="hljs-number">1</span>);<br>		&#125;<br>	&#125;<br>&#125;<br><br><span class="hljs-comment">//嗨嗨嗨，回溯</span><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">assump</span><span class="hljs-params">(<span class="hljs-type">int</span> index)</span> </span>&#123;<br>	<span class="hljs-keyword">if</span> (index &lt; m) &#123;<br>		<span class="hljs-comment">//index号预测情况模拟</span><br>		<span class="hljs-comment">//真 假 i = 0</span><br>		<span class="hljs-comment">//假 真 i = 1</span><br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; <span class="hljs-number">2</span>; i++) &#123;<br>			<span class="hljs-comment">//两位观众预测相同</span><br>			<span class="hljs-type">int</span> gsI1 = <span class="hljs-number">1</span> + <span class="hljs-number">2</span> * i, gsI2 = <span class="hljs-number">2</span> + <span class="hljs-number">2</span> * i;<br>			<span class="hljs-type">int</span> gsI3 = <span class="hljs-number">3</span> - <span class="hljs-number">2</span> * i, gsI4 = <span class="hljs-number">4</span> - <span class="hljs-number">2</span> * i;<br>			<span class="hljs-keyword">if</span> (athletes[audienceGuess[index][gsI1]].rank == audienceGuess[index][gsI2]) &#123;<br>				<span class="hljs-keyword">if</span> (<span class="hljs-built_in">checkRank</span>(audienceGuess[index][gsI3], audienceGuess[index][gsI4])) &#123;<br>					athletes[audienceGuess[index][gsI3]].<br>						guess[athletes[audienceGuess[index][gsI3]].failNum] = audienceGuess[index][gsI4];<br>					athletes[audienceGuess[index][gsI3]].failNum++;<br><br>					<span class="hljs-built_in">assump</span>(index + <span class="hljs-number">1</span>);<br><br>					athletes[audienceGuess[index][gsI3]].<br>						guess[athletes[audienceGuess[index][gsI3]].failNum] = <span class="hljs-number">0</span>;<br>					athletes[audienceGuess[index][gsI3]].failNum--;<br>				&#125;<br>				<span class="hljs-keyword">else</span> &#123;<br>					<span class="hljs-built_in">assump</span>(index + <span class="hljs-number">1</span>);<br>				&#125;<br>			&#125;<br>			<span class="hljs-comment">//两位观众预测不相同</span><br>			<span class="hljs-keyword">else</span> &#123;<br>				<span class="hljs-keyword">if</span> ((!guessTrue[audienceGuess[index][gsI2]] &amp;&amp;<br>					athletes[audienceGuess[index][gsI1]].rank == <span class="hljs-number">0</span> &amp;&amp;<br>					<span class="hljs-built_in">checkRank</span>(audienceGuess[index][gsI1], audienceGuess[index][gsI2])<br>					) || index == <span class="hljs-number">0</span>) &#123;<br>					athletes[audienceGuess[index][gsI1]].rank = audienceGuess[index][gsI2];<br>					guessTrue[audienceGuess[index][gsI2]] = <span class="hljs-literal">true</span>;<br>					athletes[audienceGuess[index][gsI3]].<br>						guess[athletes[audienceGuess[index][gsI3]].failNum] = audienceGuess[index][gsI4];<br>					athletes[audienceGuess[index][gsI3]].failNum++;<br><br>					<span class="hljs-built_in">assump</span>(index + <span class="hljs-number">1</span>);<br><br>					athletes[audienceGuess[index][gsI1]].rank = <span class="hljs-number">0</span>;<br>					guessTrue[audienceGuess[index][gsI2]] = <span class="hljs-literal">false</span>;<br>					athletes[audienceGuess[index][gsI3]].<br>						guess[athletes[audienceGuess[index][gsI3]].failNum] = <span class="hljs-number">0</span>;<br>					athletes[audienceGuess[index][gsI3]].failNum--;<br>				&#125;<br>			&#125;<br>		&#125;<br>	&#125;<br>	<span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (index == m) &#123;<br>		<span class="hljs-built_in">fix</span>(<span class="hljs-number">1</span>);<br>	&#125;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">cmp</span><span class="hljs-params">(<span class="hljs-type">const</span> Guess&amp; a, <span class="hljs-type">const</span> Guess&amp; b)</span> </span>&#123;<br>	<span class="hljs-type">int</span> suma = <span class="hljs-number">0</span>, sumb = <span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= n; i++) &#123;<br>		suma = suma * <span class="hljs-number">10</span> + a.rank[i];<br>		sumb = sumb * <span class="hljs-number">10</span> + b.rank[i];<br>	&#125;<br>	<span class="hljs-keyword">return</span> suma &gt; sumb;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	ios::<span class="hljs-built_in">sync_with_stdio</span>(<span class="hljs-literal">false</span>);<br>	cin.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br>	cout.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br><br>	cin &gt;&gt; n &gt;&gt; m;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; m; i++) &#123;<br>		cin &gt;&gt; audienceGuess[i][<span class="hljs-number">1</span>] &gt;&gt; audienceGuess[i][<span class="hljs-number">2</span>] &gt;&gt; audienceGuess[i][<span class="hljs-number">3</span>] &gt;&gt; audienceGuess[i][<span class="hljs-number">4</span>];<br>	&#125;<br><br>	<span class="hljs-built_in">assump</span>(<span class="hljs-number">0</span>);<br><br>	<span class="hljs-keyword">if</span> (ansSchemes == <span class="hljs-number">0</span>) &#123;<br>		cout &lt;&lt; <span class="hljs-string">&quot;None&quot;</span>;<br>		<span class="hljs-keyword">goto</span> end;<br>	&#125;<br><br>	<span class="hljs-built_in">sort</span>(ans, ans + ansSchemes - <span class="hljs-number">1</span>, cmp);<br><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; ansSchemes; i++) &#123;<br>		<span class="hljs-keyword">if</span> (i)cout &lt;&lt; endl;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = <span class="hljs-number">1</span>; j &lt;= n; j++) &#123;<br>			<span class="hljs-keyword">if</span> (j &gt; <span class="hljs-number">1</span>)cout &lt;&lt; <span class="hljs-string">&quot; &quot;</span>;<br>			cout &lt;&lt; ans[i].rank[j];<br>		&#125;<br>	&#125;<br>end:;<br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br></code></pre></td></tr></table></figure>
-]]></content>
-      <categories>
-        <category>C++</category>
-      </categories>
-      <tags>
-        <tag>回溯</tag>
-        <tag>pta</tag>
-      </tags>
-  </entry>
   <entry>
     <title>单调栈</title>
     <url>/posts/33564.html</url>
@@ -3310,23 +3248,98 @@ $$</p>
 <p>完全适合用单调栈(的概念)去做</p>
 <p>上代码解释</p>
 <blockquote>
-<p>注：这不是AC代码，它没有对大数据的情况进行处理，会卡TLE(代码运行超时)</p>
+<p>注：这不是AC代码，它没有对大数据的情况进行处理，会卡TLE(代码运行超时)</p>
+</blockquote>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-comment">//请牢记，这是一个  单调递减栈</span><br><span class="hljs-comment">//下方的ac样例也是  单调递减栈</span><br>stack&lt;<span class="hljs-type">int</span>&gt; st;<br><span class="hljs-type">int</span> ans = <span class="hljs-number">0</span>;<br><br><span class="hljs-type">void</span> _add(<span class="hljs-type">const</span> <span class="hljs-type">int</span>&amp; x) &#123;<br>	<span class="hljs-type">int</span> lap = <span class="hljs-number">1</span>;<br>    <br>    <span class="hljs-comment">//栈非空 新值大于栈顶值（不符合我们单调递减栈的要求）</span><br>    <br>    <span class="hljs-comment">/*1号循环*/</span><br>    <span class="hljs-keyword">while</span> (!st.<span class="hljs-built_in">empty</span>() &amp;&amp; x &gt;= st.<span class="hljs-built_in">top</span>()) &#123;<br>        <span class="hljs-comment">//如果新值和栈顶值相同（相邻且身高一样的情况），更新答案(ans)</span><br>		<span class="hljs-keyword">if</span> (st.<span class="hljs-built_in">top</span>() == x)lap++;<br>        <br>        <span class="hljs-comment">//新值是满足大于等于栈顶值的，更新答案(ans)</span><br>		ans++;<br>        <br>        <span class="hljs-comment">//通过循环依次pop出小于等于新值的栈顶元素(维护单调递减栈)</span><br>		st.<span class="hljs-built_in">pop</span>();<br>	&#125;<br><br>    <span class="hljs-comment">//当经过上方的</span><br>    <span class="hljs-comment">//		“循环依次pop出小于等于新值的栈顶元素” 操作之后</span><br>    <span class="hljs-comment">//如果堆栈中还有元素存在，此元素一定比插入的新值要大</span><br>    <span class="hljs-comment">//而且我们pop出了 小于等于新值栈顶元素 ，此元素和新值是可以互相看见的</span><br>    <span class="hljs-comment">//↑↑↑这里即是满足了：	“如果他们之间没有人比a或b高”</span><br>	<span class="hljs-keyword">if</span> (!st.<span class="hljs-built_in">empty</span>())ans++;<br>	<br>    <br>    <span class="hljs-comment">//针对重复的元素，要重新填会到堆栈中</span><br>    <span class="hljs-comment">//也就是因为该操作，对于大数据的身高重复情况非常不友好</span><br>    <span class="hljs-comment">//当堆栈相邻元素皆为一样身高时</span><br>    <span class="hljs-comment">//每次/*1号循环*/都会将重复的元素先pop再push</span><br>    <span class="hljs-comment">//这是一种累赘且耗时的操作，所以下方的AC代码以此优化</span><br>    <span class="hljs-comment">/*2号循环*/</span><span class="hljs-keyword">while</span> (lap--)st.<span class="hljs-built_in">push</span>(x);		<br>    <br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	ios::<span class="hljs-built_in">sync_with_stdio</span>(<span class="hljs-literal">false</span>);<br>	cin.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br>	cout.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br>    <br>	<span class="hljs-type">int</span> n;<br>	cin &gt;&gt; n;<br>	<span class="hljs-type">int</span> x;<br>	<span class="hljs-keyword">while</span> (n--) &#123;<br>		cin &gt;&gt; x;<br>		_add(x);<br>	&#125;<br>	cout &lt;&lt; ans;<br>    <br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br><br></code></pre></td></tr></table></figure>
+<blockquote>
+<p>注：这是AC代码</p>
+<p>能过大数据的一大原因就在</p>
+<blockquote>
+<p>代码第35行<code>pa.second += st.top().second;</code>的操作</p>
+<p>将相邻的同类数据给合并起来，而不是像上方的80分代码那样~~<strong>先pop再push</strong>~~</p>
+</blockquote>
+</blockquote>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;iostream&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stack&gt;</span></span><br><span class="hljs-keyword">using</span> <span class="hljs-keyword">namespace</span> std;<br><br><span class="hljs-comment">//pair:  first 高度   second 高度的出现次数</span><br>stack&lt; pair&lt;<span class="hljs-type">int</span>, <span class="hljs-type">long</span> <span class="hljs-type">long</span>&gt; &gt; st;<br><br><span class="hljs-comment">//你需要铭记的是：</span><br><span class="hljs-comment">//		我们这里维护的是一个 单调递减 的堆栈，栈顶为最小值</span><br><span class="hljs-comment">//		针对新插入元素大于栈顶的情况，需要进行处理，并对答案进行更新(ans)</span><br><br><span class="hljs-comment">//n的数量级可以达到5 * 1e5 当这些人高度都一样时，结果为：124999750000</span><br><span class="hljs-comment">//爆int了！！！(っ °Д °;)っ</span><br><span class="hljs-type">long</span> <span class="hljs-type">long</span> ans = <span class="hljs-number">0</span>;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	ios::<span class="hljs-built_in">sync_with_stdio</span>(<span class="hljs-literal">false</span>);<br>	cin.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br>	cout.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br>    <br>	<span class="hljs-type">int</span> n;<br>	cin &gt;&gt; n;<br>	<span class="hljs-type">int</span> x;<br>	<span class="hljs-keyword">while</span> (n--) &#123;<br>		cin &gt;&gt; x;<br>		<span class="hljs-function">pair&lt;<span class="hljs-type">int</span>, <span class="hljs-type">long</span> <span class="hljs-type">long</span>&gt; <span class="hljs-title">pa</span><span class="hljs-params">(x, <span class="hljs-number">1ll</span>)</span></span>;<br>        <br>        <span class="hljs-comment">//栈非空 新值大于栈顶值（不符合我们单调递减栈的要求）</span><br>		<span class="hljs-keyword">while</span> (!st.<span class="hljs-built_in">empty</span>() &amp;&amp; x &gt;= st.<span class="hljs-built_in">top</span>().first) &#123;<br>			<span class="hljs-comment">/*新值和栈顶值相同（相邻且身高一样的情况）*/</span><br>			<span class="hljs-keyword">if</span> (st.<span class="hljs-built_in">top</span>().first == x)&#123;<br>                <br>			<span class="hljs-comment">//因为在while循环中，我们会通过循环依次pop出小于等于新值的栈顶元素</span><br>			<span class="hljs-comment">//所以这里是对相同元素的一个统计，这样的优化避免了上方的TLE(代码运行超时)情况</span><br>				pa.second += st.<span class="hljs-built_in">top</span>().second;<br>			&#125;<br>            <br>            <span class="hljs-comment">//新值是满足大于等于栈顶值的，更新答案(ans)</span><br>			ans += st.<span class="hljs-built_in">top</span>().second;<br><br>			st.<span class="hljs-built_in">pop</span>();<span class="hljs-comment">//通过循环依次pop出小于等于新值的栈顶元素(维护单调递减栈)</span><br>		&#125;<br><br>        <br>        <span class="hljs-comment">//当经过上方的</span><br>        <span class="hljs-comment">//		“循环依次pop出小于等于新值的栈顶元素” 操作之后</span><br>        <span class="hljs-comment">//如果堆栈中还有元素存在，此元素一定比插入的新值要大</span><br>        <span class="hljs-comment">//而且我们pop出了 小于等于新值栈顶元素 ，此元素和新值是可以互相看见的</span><br>        <span class="hljs-comment">//↑↑↑这里即是满足了：	“如果他们之间没有人比a或b高”</span><br>		<span class="hljs-keyword">if</span> (!st.<span class="hljs-built_in">empty</span>())ans++;<br><br>        <span class="hljs-comment">//将新值加入到堆栈中</span><br>		st.<span class="hljs-built_in">push</span>(pa);<br>	&#125;<br><br>	cout &lt;&lt; ans;<br><br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br></code></pre></td></tr></table></figure>]]></content>
+      <categories>
+        <category>C++</category>
+      </categories>
+      <tags>
+        <tag>栈</tag>
+      </tags>
+  </entry>
+  <entry>
+    <title>图的表示</title>
+    <url>/posts/3155.html</url>
+    <content><![CDATA[<h1>邻接矩阵实现</h1>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">define</span> MAXN 10001</span><br><span class="hljs-type">int</span> G[MAXN][MAXN], Nv, Ne;<br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">BuildG</span><span class="hljs-params">()</span> </span>&#123;<br>	<span class="hljs-type">int</span> u, v, w;<br>	cin &gt;&gt; Nv;<br>	<span class="hljs-comment">/*CreateGraph*/</span><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; Nv; i++) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = <span class="hljs-number">0</span>; j &lt; Nv; j++) &#123;<br>			G[i][j] = <span class="hljs-number">0</span>;<br>		&#125;<br>	&#125;<br>	cin &gt;&gt; Ne;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; Ne; i++) &#123;<br>		cin &gt;&gt; u &gt;&gt; v &gt;&gt; w;<br>		<span class="hljs-comment">/*InsertEdge*/</span><br>		G[u][v] = w;<br>		G[v][u] = w;<span class="hljs-comment">//针对无向图，双向建边</span><br>	&#125;<br>&#125;<br></code></pre></td></tr></table></figure>
+]]></content>
+      <categories>
+        <category>C++</category>
+      </categories>
+      <tags>
+        <tag>图</tag>
+      </tags>
+  </entry>
+  <entry>
+    <title>回溯</title>
+    <url>/posts/60046.html</url>
+    <content><![CDATA[<h1>1</h1>
+<h3 id="题目描述">题目描述</h3>
+<p>赛场内 <em>n</em> (0&lt;<em>n</em>≤10) 名短跑运动员正在参加百米短跑比赛。赛场外有 <em>m</em> (0&lt;<em>m</em>≤100) 名热心观众，他们每人都对比赛结果作出了 2 个预测。比赛结束后，运动员的名次各不相同，但令人惊奇的是每位观众都猜对了一半。请问这些运动员取得的实际名次是多少？</p>
+<p>例如场内有 4 名运动员参加比赛，场外 3 名观众的预测分别为：</p>
+<ul>
+<li>1 号运动员名次为 1，2 号运动员名次为 3</li>
+<li>3 号运动员名次为 1，4 号运动员名次为 4</li>
+<li>4 号运动员名次为 2，1 号运动员名次为 3</li>
+</ul>
+<p>由每人猜对一半推理可知：</p>
+<ul>
+<li>1 号运动员名次为 4</li>
+<li>2 号运动员名次为 3</li>
+<li>3 号运动员名次为 1</li>
+<li>4 号运动员名次为 2</li>
+</ul>
+<p>请编写程序，根据观众的预测来推算运动员的实际名次。</p>
+<h3 id="输入格式">输入格式</h3>
+<blockquote>
+<p>两个正整数 <em>n</em> 和 <em>m</em> (运动员人数、观众人数)<br>
+随后有 <em>m</em> 行数据，每行包含 4 个整数，为 <em>m</em> 位观众的预测<br>
+每行包含的 4 个整数 <em>x</em>1、<em>r</em>1 和 <em>x</em>2、<em>r</em>2 表示该观众的两个预测：<br>
+<em>x</em>1 号运动员名次为 <em>r</em>1，<em>x</em>2 号运动员名次为 <em>r</em>2</p>
 </blockquote>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-comment">//请牢记，这是一个  单调递减栈</span><br><span class="hljs-comment">//下方的ac样例也是  单调递减栈</span><br>stack&lt;<span class="hljs-type">int</span>&gt; st;<br><span class="hljs-type">int</span> ans = <span class="hljs-number">0</span>;<br><br><span class="hljs-type">void</span> _add(<span class="hljs-type">const</span> <span class="hljs-type">int</span>&amp; x) &#123;<br>	<span class="hljs-type">int</span> lap = <span class="hljs-number">1</span>;<br>    <br>    <span class="hljs-comment">//栈非空 新值大于栈顶值（不符合我们单调递减栈的要求）</span><br>    <br>    <span class="hljs-comment">/*1号循环*/</span><br>    <span class="hljs-keyword">while</span> (!st.<span class="hljs-built_in">empty</span>() &amp;&amp; x &gt;= st.<span class="hljs-built_in">top</span>()) &#123;<br>        <span class="hljs-comment">//如果新值和栈顶值相同（相邻且身高一样的情况），更新答案(ans)</span><br>		<span class="hljs-keyword">if</span> (st.<span class="hljs-built_in">top</span>() == x)lap++;<br>        <br>        <span class="hljs-comment">//新值是满足大于等于栈顶值的，更新答案(ans)</span><br>		ans++;<br>        <br>        <span class="hljs-comment">//通过循环依次pop出小于等于新值的栈顶元素(维护单调递减栈)</span><br>		st.<span class="hljs-built_in">pop</span>();<br>	&#125;<br><br>    <span class="hljs-comment">//当经过上方的</span><br>    <span class="hljs-comment">//		“循环依次pop出小于等于新值的栈顶元素” 操作之后</span><br>    <span class="hljs-comment">//如果堆栈中还有元素存在，此元素一定比插入的新值要大</span><br>    <span class="hljs-comment">//而且我们pop出了 小于等于新值栈顶元素 ，此元素和新值是可以互相看见的</span><br>    <span class="hljs-comment">//↑↑↑这里即是满足了：	“如果他们之间没有人比a或b高”</span><br>	<span class="hljs-keyword">if</span> (!st.<span class="hljs-built_in">empty</span>())ans++;<br>	<br>    <br>    <span class="hljs-comment">//针对重复的元素，要重新填会到堆栈中</span><br>    <span class="hljs-comment">//也就是因为该操作，对于大数据的身高重复情况非常不友好</span><br>    <span class="hljs-comment">//当堆栈相邻元素皆为一样身高时</span><br>    <span class="hljs-comment">//每次/*1号循环*/都会将重复的元素先pop再push</span><br>    <span class="hljs-comment">//这是一种累赘且耗时的操作，所以下方的AC代码以此优化</span><br>    <span class="hljs-comment">/*2号循环*/</span><span class="hljs-keyword">while</span> (lap--)st.<span class="hljs-built_in">push</span>(x);		<br>    <br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	ios::<span class="hljs-built_in">sync_with_stdio</span>(<span class="hljs-literal">false</span>);<br>	cin.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br>	cout.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br>    <br>	<span class="hljs-type">int</span> n;<br>	cin &gt;&gt; n;<br>	<span class="hljs-type">int</span> x;<br>	<span class="hljs-keyword">while</span> (n--) &#123;<br>		cin &gt;&gt; x;<br>		_add(x);<br>	&#125;<br>	cout &lt;&lt; ans;<br>    <br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br><br></code></pre></td></tr></table></figure>
-<blockquote>
-<p>注：这是AC代码</p>
-<p>能过大数据的一大原因就在</p>
+<p>说明：</p>
+<ul>
+<li><em>n</em> 名运行员的编号为从 1 到 <em>n</em> 的正整数，无重号和跳号。</li>
+<li><em>n</em> 名运动员的名次为从 1 到 <em>n</em> 的正整数，无并列的情况。</li>
+</ul>
+<h3 id="输出格式">输出格式</h3>
 <blockquote>
-<p>代码第35行<code>pa.second += st.top().second;</code>的操作</p>
-<p>将相邻的同类数据给合并起来，而不是像上方的80分代码那样~~<strong>先pop再push</strong>~~</p>
-</blockquote>
+<p>若问题无解，则输出 None。<br>
+若问题有解，则输出多行数据，每一行表示一个答案，按字典序输出。<br>
+每一行包含 <em>n</em> 个整数，分别是 1 ~ <em>n</em> 号运动员取得的实际名次。</p>
 </blockquote>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;iostream&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stack&gt;</span></span><br><span class="hljs-keyword">using</span> <span class="hljs-keyword">namespace</span> std;<br><br><span class="hljs-comment">//pair:  first 高度   second 高度的出现次数</span><br>stack&lt; pair&lt;<span class="hljs-type">int</span>, <span class="hljs-type">long</span> <span class="hljs-type">long</span>&gt; &gt; st;<br><br><span class="hljs-comment">//你需要铭记的是：</span><br><span class="hljs-comment">//		我们这里维护的是一个 单调递减 的堆栈，栈顶为最小值</span><br><span class="hljs-comment">//		针对新插入元素大于栈顶的情况，需要进行处理，并对答案进行更新(ans)</span><br><br><span class="hljs-comment">//n的数量级可以达到5 * 1e5 当这些人高度都一样时，结果为：124999750000</span><br><span class="hljs-comment">//爆int了！！！(っ °Д °;)っ</span><br><span class="hljs-type">long</span> <span class="hljs-type">long</span> ans = <span class="hljs-number">0</span>;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	ios::<span class="hljs-built_in">sync_with_stdio</span>(<span class="hljs-literal">false</span>);<br>	cin.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br>	cout.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br>    <br>	<span class="hljs-type">int</span> n;<br>	cin &gt;&gt; n;<br>	<span class="hljs-type">int</span> x;<br>	<span class="hljs-keyword">while</span> (n--) &#123;<br>		cin &gt;&gt; x;<br>		<span class="hljs-function">pair&lt;<span class="hljs-type">int</span>, <span class="hljs-type">long</span> <span class="hljs-type">long</span>&gt; <span class="hljs-title">pa</span><span class="hljs-params">(x, <span class="hljs-number">1ll</span>)</span></span>;<br>        <br>        <span class="hljs-comment">//栈非空 新值大于栈顶值（不符合我们单调递减栈的要求）</span><br>		<span class="hljs-keyword">while</span> (!st.<span class="hljs-built_in">empty</span>() &amp;&amp; x &gt;= st.<span class="hljs-built_in">top</span>().first) &#123;<br>			<span class="hljs-comment">/*新值和栈顶值相同（相邻且身高一样的情况）*/</span><br>			<span class="hljs-keyword">if</span> (st.<span class="hljs-built_in">top</span>().first == x)&#123;<br>                <br>			<span class="hljs-comment">//因为在while循环中，我们会通过循环依次pop出小于等于新值的栈顶元素</span><br>			<span class="hljs-comment">//所以这里是对相同元素的一个统计，这样的优化避免了上方的TLE(代码运行超时)情况</span><br>				pa.second += st.<span class="hljs-built_in">top</span>().second;<br>			&#125;<br>            <br>            <span class="hljs-comment">//新值是满足大于等于栈顶值的，更新答案(ans)</span><br>			ans += st.<span class="hljs-built_in">top</span>().second;<br><br>			st.<span class="hljs-built_in">pop</span>();<span class="hljs-comment">//通过循环依次pop出小于等于新值的栈顶元素(维护单调递减栈)</span><br>		&#125;<br><br>        <br>        <span class="hljs-comment">//当经过上方的</span><br>        <span class="hljs-comment">//		“循环依次pop出小于等于新值的栈顶元素” 操作之后</span><br>        <span class="hljs-comment">//如果堆栈中还有元素存在，此元素一定比插入的新值要大</span><br>        <span class="hljs-comment">//而且我们pop出了 小于等于新值栈顶元素 ，此元素和新值是可以互相看见的</span><br>        <span class="hljs-comment">//↑↑↑这里即是满足了：	“如果他们之间没有人比a或b高”</span><br>		<span class="hljs-keyword">if</span> (!st.<span class="hljs-built_in">empty</span>())ans++;<br><br>        <span class="hljs-comment">//将新值加入到堆栈中</span><br>		st.<span class="hljs-built_in">push</span>(pa);<br>	&#125;<br><br>	cout &lt;&lt; ans;<br><br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br></code></pre></td></tr></table></figure>]]></content>
+<h3 id="样例-1">样例 #1</h3>
+<h4 id="样例输入-1">样例输入 #1</h4>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">4 3<br>1 1 2 3<br>3 1 4 4<br>4 2 1 3<br></code></pre></td></tr></table></figure>
+<h4 id="样例输出-1">样例输出 #1</h4>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">4 3 1 2<br></code></pre></td></tr></table></figure>
+<h4 id="样例输入-2">样例输入 #2</h4>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">4 3<br>3 4 2 1<br>4 3 3 2<br>1 4 2 3<br></code></pre></td></tr></table></figure>
+<h4 id="样例输出-2">样例输出 #2</h4>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">None<br></code></pre></td></tr></table></figure>
+<h4 id="样例输入-3">样例输入 #3</h4>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">4 3<br>2 4 4 1<br>4 2 2 3<br>3 4 1 1<br></code></pre></td></tr></table></figure>
+<h4 id="样例输出-3">样例输出 #3</h4>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">1 4 3 2<br>2 3 4 1<br></code></pre></td></tr></table></figure>
+<h2 id="AC代码"><strong>AC代码</strong></h2>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;iostream&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;algorithm&gt;</span></span><br><span class="hljs-keyword">using</span> <span class="hljs-keyword">namespace</span> std;<br><br><span class="hljs-type">int</span> audienceGuess[<span class="hljs-number">101</span>][<span class="hljs-number">5</span>];<span class="hljs-comment">//观众猜测</span><br><span class="hljs-type">bool</span> guessTrue[<span class="hljs-number">11</span>];<span class="hljs-comment">//猜测成立</span><br><span class="hljs-type">int</span> n, m;<br><span class="hljs-type">int</span> ansSchemes;<span class="hljs-comment">//结果数量 10! = 3628800</span><br><br><span class="hljs-keyword">struct</span> &#123;<br>	<span class="hljs-type">int</span> rank;<br>	<span class="hljs-type">int</span> failNum;<br>	<span class="hljs-type">int</span> guess[<span class="hljs-number">101</span>];<br>&#125;athletes[<span class="hljs-number">11</span>];<br><span class="hljs-comment">//rank[]为每个方案运动员的名次，sum保存每个方案运动员名次的十进制整数 </span><br><span class="hljs-keyword">struct</span> <span class="hljs-title class_">Guess</span> &#123;<br>	<span class="hljs-type">int</span> rank[<span class="hljs-number">11</span>];<br>&#125; ans[<span class="hljs-number">368800</span>];<br><br><span class="hljs-function"><span class="hljs-type">bool</span> <span class="hljs-title">checkRank</span><span class="hljs-params">(<span class="hljs-type">int</span> index, <span class="hljs-type">int</span> rank)</span> </span>&#123;<br>	<span class="hljs-type">int</span> i;<br>	<span class="hljs-keyword">for</span> (i = <span class="hljs-number">0</span>; i &lt; athletes[index].failNum; i++) &#123;<br>		<span class="hljs-keyword">if</span> (athletes[index].guess[i] == rank) &#123;<br>			<span class="hljs-keyword">return</span> <span class="hljs-literal">false</span>;<br>		&#125;<br>	&#125;<br>	<span class="hljs-keyword">return</span> <span class="hljs-literal">true</span>;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">fix</span><span class="hljs-params">(<span class="hljs-type">int</span> index)</span> </span>&#123;<span class="hljs-comment">//回溯法把剩余没有名次的运动员根据约束条件补齐 </span><br>	<span class="hljs-keyword">if</span> (index &gt; n) &#123;<br>		<span class="hljs-comment">//保存其中一种结果</span><br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= n; i++) &#123;<br>			ans[ansSchemes].rank[i] = athletes[i].rank;<br>		&#125;<br>		ansSchemes++;<br>	&#125;<br>	<span class="hljs-keyword">else</span> &#123;<br><br>		<span class="hljs-comment">//当前运动员没有名次</span><br>		<span class="hljs-keyword">if</span> (athletes[index].rank == <span class="hljs-number">0</span>) &#123;<br>			<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= n; i++) &#123;<br>				<span class="hljs-keyword">if</span> (!guessTrue[i] &amp;&amp; <span class="hljs-built_in">checkRank</span>(index, i)) &#123;<span class="hljs-comment">//名次i未被标记且第index个运动员的名次i不在假名次中 </span><br>					athletes[index].rank = i;<br>					guessTrue[i] = <span class="hljs-literal">true</span>;<br>					<span class="hljs-built_in">fix</span>(index + <span class="hljs-number">1</span>);<br>					athletes[index].rank = <span class="hljs-number">0</span>;<br>					guessTrue[i] = <span class="hljs-literal">false</span>;<br>				&#125;<br>			&#125;<br>		&#125;<br>		<span class="hljs-keyword">else</span> &#123;<br>			<span class="hljs-built_in">fix</span>(index + <span class="hljs-number">1</span>);<br>		&#125;<br>	&#125;<br>&#125;<br><br><span class="hljs-comment">//嗨嗨嗨，回溯</span><br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">assump</span><span class="hljs-params">(<span class="hljs-type">int</span> index)</span> </span>&#123;<br>	<span class="hljs-keyword">if</span> (index &lt; m) &#123;<br>		<span class="hljs-comment">//index号预测情况模拟</span><br>		<span class="hljs-comment">//真 假 i = 0</span><br>		<span class="hljs-comment">//假 真 i = 1</span><br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; <span class="hljs-number">2</span>; i++) &#123;<br>			<span class="hljs-comment">//两位观众预测相同</span><br>			<span class="hljs-type">int</span> gsI1 = <span class="hljs-number">1</span> + <span class="hljs-number">2</span> * i, gsI2 = <span class="hljs-number">2</span> + <span class="hljs-number">2</span> * i;<br>			<span class="hljs-type">int</span> gsI3 = <span class="hljs-number">3</span> - <span class="hljs-number">2</span> * i, gsI4 = <span class="hljs-number">4</span> - <span class="hljs-number">2</span> * i;<br>			<span class="hljs-keyword">if</span> (athletes[audienceGuess[index][gsI1]].rank == audienceGuess[index][gsI2]) &#123;<br>				<span class="hljs-keyword">if</span> (<span class="hljs-built_in">checkRank</span>(audienceGuess[index][gsI3], audienceGuess[index][gsI4])) &#123;<br>					athletes[audienceGuess[index][gsI3]].<br>						guess[athletes[audienceGuess[index][gsI3]].failNum] = audienceGuess[index][gsI4];<br>					athletes[audienceGuess[index][gsI3]].failNum++;<br><br>					<span class="hljs-built_in">assump</span>(index + <span class="hljs-number">1</span>);<br><br>					athletes[audienceGuess[index][gsI3]].<br>						guess[athletes[audienceGuess[index][gsI3]].failNum] = <span class="hljs-number">0</span>;<br>					athletes[audienceGuess[index][gsI3]].failNum--;<br>				&#125;<br>				<span class="hljs-keyword">else</span> &#123;<br>					<span class="hljs-built_in">assump</span>(index + <span class="hljs-number">1</span>);<br>				&#125;<br>			&#125;<br>			<span class="hljs-comment">//两位观众预测不相同</span><br>			<span class="hljs-keyword">else</span> &#123;<br>				<span class="hljs-keyword">if</span> ((!guessTrue[audienceGuess[index][gsI2]] &amp;&amp;<br>					athletes[audienceGuess[index][gsI1]].rank == <span class="hljs-number">0</span> &amp;&amp;<br>					<span class="hljs-built_in">checkRank</span>(audienceGuess[index][gsI1], audienceGuess[index][gsI2])<br>					) || index == <span class="hljs-number">0</span>) &#123;<br>					athletes[audienceGuess[index][gsI1]].rank = audienceGuess[index][gsI2];<br>					guessTrue[audienceGuess[index][gsI2]] = <span class="hljs-literal">true</span>;<br>					athletes[audienceGuess[index][gsI3]].<br>						guess[athletes[audienceGuess[index][gsI3]].failNum] = audienceGuess[index][gsI4];<br>					athletes[audienceGuess[index][gsI3]].failNum++;<br><br>					<span class="hljs-built_in">assump</span>(index + <span class="hljs-number">1</span>);<br><br>					athletes[audienceGuess[index][gsI1]].rank = <span class="hljs-number">0</span>;<br>					guessTrue[audienceGuess[index][gsI2]] = <span class="hljs-literal">false</span>;<br>					athletes[audienceGuess[index][gsI3]].<br>						guess[athletes[audienceGuess[index][gsI3]].failNum] = <span class="hljs-number">0</span>;<br>					athletes[audienceGuess[index][gsI3]].failNum--;<br>				&#125;<br>			&#125;<br>		&#125;<br>	&#125;<br>	<span class="hljs-keyword">else</span> <span class="hljs-keyword">if</span> (index == m) &#123;<br>		<span class="hljs-built_in">fix</span>(<span class="hljs-number">1</span>);<br>	&#125;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">cmp</span><span class="hljs-params">(<span class="hljs-type">const</span> Guess&amp; a, <span class="hljs-type">const</span> Guess&amp; b)</span> </span>&#123;<br>	<span class="hljs-type">int</span> suma = <span class="hljs-number">0</span>, sumb = <span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= n; i++) &#123;<br>		suma = suma * <span class="hljs-number">10</span> + a.rank[i];<br>		sumb = sumb * <span class="hljs-number">10</span> + b.rank[i];<br>	&#125;<br>	<span class="hljs-keyword">return</span> suma &gt; sumb;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	ios::<span class="hljs-built_in">sync_with_stdio</span>(<span class="hljs-literal">false</span>);<br>	cin.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br>	cout.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br><br>	cin &gt;&gt; n &gt;&gt; m;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; m; i++) &#123;<br>		cin &gt;&gt; audienceGuess[i][<span class="hljs-number">1</span>] &gt;&gt; audienceGuess[i][<span class="hljs-number">2</span>] &gt;&gt; audienceGuess[i][<span class="hljs-number">3</span>] &gt;&gt; audienceGuess[i][<span class="hljs-number">4</span>];<br>	&#125;<br><br>	<span class="hljs-built_in">assump</span>(<span class="hljs-number">0</span>);<br><br>	<span class="hljs-keyword">if</span> (ansSchemes == <span class="hljs-number">0</span>) &#123;<br>		cout &lt;&lt; <span class="hljs-string">&quot;None&quot;</span>;<br>		<span class="hljs-keyword">goto</span> end;<br>	&#125;<br><br>	<span class="hljs-built_in">sort</span>(ans, ans + ansSchemes - <span class="hljs-number">1</span>, cmp);<br><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; ansSchemes; i++) &#123;<br>		<span class="hljs-keyword">if</span> (i)cout &lt;&lt; endl;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = <span class="hljs-number">1</span>; j &lt;= n; j++) &#123;<br>			<span class="hljs-keyword">if</span> (j &gt; <span class="hljs-number">1</span>)cout &lt;&lt; <span class="hljs-string">&quot; &quot;</span>;<br>			cout &lt;&lt; ans[i].rank[j];<br>		&#125;<br>	&#125;<br>end:;<br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br></code></pre></td></tr></table></figure>
+]]></content>
       <categories>
         <category>C++</category>
       </categories>
       <tags>
-        <tag>栈</tag>
+        <tag>回溯</tag>
+        <tag>pta</tag>
       </tags>
   </entry>
   <entry>
@@ -3363,10 +3376,93 @@ $$</p>
       </tags>
   </entry>
   <entry>
-    <title>图的表示</title>
-    <url>/posts/3155.html</url>
-    <content><![CDATA[<h1>邻接矩阵实现</h1>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">define</span> MAXN 10001</span><br><span class="hljs-type">int</span> G[MAXN][MAXN], Nv, Ne;<br><span class="hljs-function"><span class="hljs-type">void</span> <span class="hljs-title">BuildG</span><span class="hljs-params">()</span> </span>&#123;<br>	<span class="hljs-type">int</span> u, v, w;<br>	cin &gt;&gt; Nv;<br>	<span class="hljs-comment">/*CreateGraph*/</span><br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; Nv; i++) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = <span class="hljs-number">0</span>; j &lt; Nv; j++) &#123;<br>			G[i][j] = <span class="hljs-number">0</span>;<br>		&#125;<br>	&#125;<br>	cin &gt;&gt; Ne;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; Ne; i++) &#123;<br>		cin &gt;&gt; u &gt;&gt; v &gt;&gt; w;<br>		<span class="hljs-comment">/*InsertEdge*/</span><br>		G[u][v] = w;<br>		G[v][u] = w;<span class="hljs-comment">//针对无向图，双向建边</span><br>	&#125;<br>&#125;<br></code></pre></td></tr></table></figure>
+    <title>夸父计划--源空间</title>
+    <url>/posts/34206.html</url>
+    <content><![CDATA[<h1><strong>夸父计划–源空间</strong></h1>
+<p>“咱这才刚建成空间站，‘夸父’计划就要施行了？”</p>
+<p>“国家做了这个决定，肯定是有原因的，出行前不是说了吗，太阳活动骤减，地面部分探测数据无法进行演算，需要进行近距离观测。这事关乎着我们人类的安危！”</p>
+<p>“先别闲聊了！你们俩赶紧过来帮忙！'夸父’不行了！”</p>
+<p>空间站上，陈星、赵庆方、陈建成正紧张有序地推进着’夸父’号的在轨建设，听到陈建成的声音，其余两人迅速赶到了连接枢纽，看到闪着红光的’夸父’，陈星、赵庆方两两相视，“他果然又不看说明书”。</p>
+<p>&quot; ‘夸父’ 是在自动校验电路，这时候你不要靠近&quot;陈星朝陈建成传话到。</p>
+<p>&quot;那，那为什么连个燃料装填口都没有啊！“陈建成敲了敲一旁的&quot;夸父”，隔着面罩都能猜到，他现在又是一脸懵逼的表情。</p>
+<p>&quot;不要拿常识去猜测，'夸父’用的是曲率引擎，能源预填充。不过我实在没想到，国家竟然已经完成了1级曲率引擎的理论实际转向，明明曲率泡很难维持……航行速度理论可达1c(1光速)，虽然眼前这个是半成品，但那3%效率也够我们在三个小时之内到达水星了&quot;赵庆方想把右手扶在下巴上，结果摸到了圆圆的面罩，无奈只能叉起了手。</p>
+<p>&quot;给，操作手册。&quot;随着陈星将面前的文件划出，陈建成的面罩显示出了《'夸父’计划操作手册》。</p>
+<p>&quot;其实我有看的，嗯，当时考的时候我可是满分！&quot;陈建成抬了抬自己的头，双手叉在腰上。</p>
+<p>&quot;噗，确实，在座的都是。赶紧完成外部构件吧，电路校验完就准备安装，国家是希望我们越早完成越好的。&quot;陈星一边传话，一边忙着手里的工作。</p>
+<p>……建设工作一共持续了3个月……</p>
+<p>“通知地面部分，这里是天宫，我们已经完成了’夸父’的在轨建设，比预计时间节约了4小时35分钟”</p>
+<p>“这里是北京航天飞行控制中心指挥大厅，你们做的很棒，根据上级指示，可以进行’夸父’计划。”</p>
+<p>“陈星收到！”，“陈建成收到！”，&quot;赵庆方收到！&quot;伴随着短暂的数据确认，航天员们穿上了印有’夸父’字样的航天服，这件衣服相比于以往的航天服，显得苗条了不少……</p>
+<p>“通知地面部分，飞船即将加速脱离天链卫星通信范围，我们将严格按照计划抛出中继通信点。”</p>
+<p>(2小时52分钟后)&quot;通知地面部分，我等已避开水星重力场范围，‘夸父’已成功定轨！舰载‘逐日号’已准备完毕，请求开始探测。&quot;赵庆方紧盯着屏幕上的距离标识，等候地面下一步指示。</p>
+<p>“可以进行探测。”，“夸父收到”，“通知，已解除逐日号固定构件。”……</p>
+<p>&quot;陈建成，一定要避免太阳引力场捕获！非必要前提下禁止使用人工操作！&quot;陈星非常严肃的向陈建成传话道。&quot;好嘞老大！得令！&quot;陈建成的眼神变得犀利起来。</p>
+<p>“赵庆方，我们已到达预定位置，可以与’夸父’同步。”</p>
+<p>&quot;指令收到，已开始远望观测同步，数据获取中。&quot;赵庆方紧张的盯着面前的屏幕，上面显现出了1%的字样。</p>
+<p>(43小时后)“通知地面部分，数据已经收集完毕，已通知‘逐日’号返航。”</p>
+<p>“收到，你们辛苦了，请依照计划，抛出空间锚点后返航。”</p>
+<p>&quot;嘿咻，老大，终于干完了，我这都腰酸背痛……不对劲！老大！空间坐标104u,1179u,901u发现异常空间波动，据智能推算97%概率为人工虫洞，同时还发现与其相连的能量传输通路，地点是……可恶！是太阳！&quot;陈建成刚想给陈星发一个么么哒的表情，突如其来的异常却打断了他，“老大，咱们要不要？”</p>
+<p>&quot;嘶，人工虫洞？那应该早会被’夸父’发现，难道……&quot;陈星眉头紧锁，脑中的猜测不断被建立又不断被驳倒。</p>
+<p>“3号你说这会不会是？”，“咱们想到一块去了，1号。”</p>
+<p>&quot;啊？你们在打什么哑语？我怎么听不懂。&quot;陈建成听得一脸懵逼。</p>
+<p>“这是一个更高级文明建立的’虫洞’，如果不是你恰巧从它旁边经过，凭我们现在的检测手段根本无法发现”，陈星长舒了一口气，但表情依旧严肃。“’夸父’，替我转接地面。通知地面部分，想必你们已经知晓当前的情况，根据智能推算，太阳的能源如果依靠该虫洞以指数型传输，我们只剩下10天的时间……’夸父’计划航天员1号，陈星，请求进入虫洞！”</p>
+<p>“’夸父’计划航天员3号，赵庆方，请求进入虫洞！”</p>
+<p>“老大，老三，这种事不带我可不行，’夸父’计划航天员2号，陈建成，请求进入虫洞！”</p>
+<p>&quot;……&quot;沉默，良久的沉默。每个人都清楚面对未知这是一种多么危险的行为。</p>
+<p>“这里是北京航天飞行控制中心指挥大厅，我是总司令，我们将无条件支持你们的选择，你们的背后不仅是中国，还有整个地球……航天员陈星、赵庆方、陈建成，我以最高权限，批准进入。此指令不再重复，即刻执行。”</p>
+<p>……随着飞船信号的消失，陈星、赵庆方和陈建成同时到了一个，奇怪的光亮空间……</p>
+]]></content>
+      <categories>
+        <category>小说</category>
+      </categories>
+      <tags>
+        <tag>夸父计划</tag>
+      </tags>
+  </entry>
+  <entry>
+    <title>拓扑排序</title>
+    <url>/posts/22315.html</url>
+    <content><![CDATA[<h1>什么是拓扑排序？</h1>
+<p>在图论中，<strong>拓扑排序</strong>（Topological Sorting）是一个有向无环图（DAG, Directed Acyclic Graph）的所有顶点的线性序列。且该序列必须满足下面两个条件：</p>
+<p>每个顶点出现且只出现一次</p>
+<p>若存在一条从顶点 A 到顶点 B 的路径，那么在序列中顶点 A 出现在顶点 B 的前面</p>
+<p><strong>有向无环图（DAG）才有拓扑排序，非DAG图没有拓扑排序一说</strong></p>
+<h1>拓扑排序有什么用？</h1>
+<blockquote>
+<p><strong>它可以用来解决形如：</strong></p>
+<p>有n个任务需要完成，每个任务有一个耗时和一个前置任务列表，前置任务完成后才能开始当前任务。求完成所有任务的最短时间</p>
+<p>这样<strong>具有依赖关系</strong>的问题</p>
+</blockquote>
+<h1>拓扑排序的实现</h1>
+<blockquote>
+<p>实现拓扑排序的关键就是<strong>维护一个入度为0的顶点的集合</strong></p>
+</blockquote>
+<hr>
+<h2 id="Eg：P1113-杂务">Eg：<a href="https://www.luogu.com.cn/problem/P1113">P1113 杂务</a></h2>
+<h2 id="题目描述">题目描述</h2>
+<p><code>John</code>的农场在给奶牛挤奶前有很多杂务要完成，每一项杂务都需要一定的时间来完成它。比如：他们要将奶牛集合起来，将他们赶进牛棚，为奶牛清洗乳房以及一些其它工作。尽早将所有杂务完成是必要的，因为这样才有更多时间挤出更多的牛奶。当然，有些杂务必须在另一些杂务完成的情况下才能进行。比如：只有将奶牛赶进牛棚才能开始为它清洗乳房，还有在未给奶牛清洗乳房之前不能挤奶。我们把这些工作称为完成本项工作的准备工作。至少有一项杂务不要求有准备工作，这个可以最早着手完成的工作，标记为杂务$1$。<code>John</code>有需要完成的$n$个杂务的清单，并且这份清单是有一定顺序的，杂务$k(k&gt;1)$的准备工作只可能在杂务$1$至$k-1$中。</p>
+<p>写一个程序从$1$到$n$读入每个杂务的工作说明。计算出所有杂务都被完成的最短时间。当然互相没有关系的杂务可以同时工作，并且，你可以假定<code>John</code>的农场有足够多的工人来同时完成任意多项任务。</p>
+<h2 id="输入格式">输入格式</h2>
+<p>第1行：一个整数$n$，必须完成的杂务的数目($3 \le n \le 10,000$)；</p>
+<p>第$2$至$(n+1)$行： 共有$n$行，每行有一些用$1$个空格隔开的整数，分别表示：</p>
+<p>* 工作序号($1$至$n$,在输入文件中是有序的)；</p>
+<p>* 完成工作所需要的时间$len(1 \le len \le 100)$；</p>
+<p>* 一些必须完成的准备工作，总数不超过$100$个，由一个数字$0$结束。有些杂务没有需要准备的工作只描述一个单独的$0$，整个输入文件中不会出现多余的空格。</p>
+<h2 id="输出格式">输出格式</h2>
+<p>一个整数，表示完成所有杂务所需的最短时间。</p>
+<h2 id="样例-1">样例 #1</h2>
+<h3 id="样例输入-1">样例输入 #1</h3>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">7<br>1 5 0<br>2 2 1 0<br>3 3 2 0<br>4 6 1 0<br>5 1 2 4 0<br>6 8 2 4 0<br>7 4 3 5 6 0<br></code></pre></td></tr></table></figure>
+<h3 id="样例输出-1">样例输出 #1</h3>
+<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">23<br></code></pre></td></tr></table></figure>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;iostream&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;vector&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;queue&gt;</span></span><br><span class="hljs-keyword">using</span> <span class="hljs-keyword">namespace</span> std;<br><br><span class="hljs-meta">#<span class="hljs-keyword">define</span> MAXN 10001		</span><br>vector&lt;<span class="hljs-type">int</span>&gt; followUpTask[MAXN];<span class="hljs-comment">//邻接表存图，对于下标为i的节点，其存储的为i的后续任务</span><br><span class="hljs-type">int</span> inDrgee[MAXN];	<span class="hljs-comment">//入度</span><br><span class="hljs-type">int</span> timeNeed[MAXN];	<span class="hljs-comment">//任务所需时间</span><br><span class="hljs-type">int</span> timeOver[MAXN];	<span class="hljs-comment">//第i号任务总耗时</span><br><br><span class="hljs-type">int</span> n;	<span class="hljs-comment">//图的节点数</span><br><br><span class="hljs-type">int</span> _max(<span class="hljs-type">int</span> a, <span class="hljs-type">int</span> b) &#123;<br>	<span class="hljs-keyword">return</span> a &gt; b ? a : b;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">tuopu</span><span class="hljs-params">()</span> </span>&#123;<br>	queue&lt;<span class="hljs-type">int</span>&gt; q;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= n; i++) &#123;<br>		<span class="hljs-keyword">if</span> (!inDrgee[i]) &#123;	<span class="hljs-comment">//统计入度为0的点，放入队列，准备拓扑排序</span><br>			q.<span class="hljs-built_in">push</span>(i);<br>			timeOver[i] = timeNeed[i];	<span class="hljs-comment">//对于入度为0的点，它的总耗时就是自己任务所需时间</span><br>		&#125;<br>	&#125;<br><br>	<span class="hljs-keyword">while</span> (q.<span class="hljs-built_in">size</span>()) &#123;<br>		<span class="hljs-comment">//pre 存取的是入度为0的点(任务可以独立进行，或任务前置任务已经完成的任务点)</span><br>		<span class="hljs-type">int</span> pre = q.<span class="hljs-built_in">front</span>(); q.<span class="hljs-built_in">pop</span>();<br><br>		<span class="hljs-comment">//对于pre的后续任务，我们进行一个遍历</span><br>		<span class="hljs-keyword">for</span> (<span class="hljs-keyword">auto</span>&amp; crt : followUpTask[pre]) &#123;<br>			<span class="hljs-comment">//后续任务的耗时等于：max( 后续任务耗时 , pre任务+后续任务耗时 )</span><br>			timeOver[crt] = _max(timeOver[crt], timeOver[pre] + timeNeed[crt]);<br><br>			<span class="hljs-comment">//如果该后续任务的所有前置均完成（入度为0），将该后续任务放入队列，作为拓扑排序的新节点</span><br>			<span class="hljs-keyword">if</span> (!--inDrgee[crt])q.<span class="hljs-built_in">push</span>(crt);<br>		&#125;<br>	&#125;<br><br>	<span class="hljs-type">int</span> ans = <span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= n; i++) &#123;<br>		ans = _max(ans, timeOver[i]);<br>	&#125;<br><br><br>	<span class="hljs-keyword">return</span> ans;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	ios::<span class="hljs-built_in">sync_with_stdio</span>(<span class="hljs-literal">false</span>);<br>	cin.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br>	cout.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br><br>	cin &gt;&gt; n;<br><br>	<span class="hljs-type">int</span> idx;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= n; i++) &#123;<br>		cin &gt;&gt; idx &gt;&gt; timeNeed[i];<br><br>		<span class="hljs-type">int</span> preTask;<br>		cin &gt;&gt; preTask;<br>		<span class="hljs-keyword">while</span> (preTask) &#123;<br>			<span class="hljs-comment">//反向存储</span><br>			<span class="hljs-comment">//对于前置任务preTask，存储其后续任务</span><br>			followUpTask[preTask].<span class="hljs-built_in">push_back</span>(i);<br>			inDrgee[i]++;	<span class="hljs-comment">//后续任务入度加一</span><br>			cin &gt;&gt; preTask;<br>		&#125;<br>	&#125;<br><br>	cout &lt;&lt; <span class="hljs-built_in">tuopu</span>();<br>	<br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br></code></pre></td></tr></table></figure>
+<p>自问自答：</p>
+<blockquote>
+<p>Q：为什么是取max？</p>
+<p>A：因为任务是<strong>不限制人数的可并行完成模式</strong>，在已经计算出每个任务所需耗时后，所有任务中的最大耗时即为完成所有任务的最短耗时</p>
+</blockquote>
+<h2 id="利用拓扑排序思维的不建图实现（硬性要求1号任务不需要前置任务）">利用拓扑排序思维的不建图实现（硬性要求1号任务不需要前置任务）</h2>
+<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;iostream&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;vector&gt;</span></span><br><span class="hljs-keyword">using</span> <span class="hljs-keyword">namespace</span> std;<br><br><span class="hljs-type">int</span> itime[<span class="hljs-number">10001</span>];<br><span class="hljs-type">int</span> finishTime[<span class="hljs-number">10001</span>];<br>vector&lt;<span class="hljs-type">int</span>&gt; prepare[<span class="hljs-number">10001</span>];<br><br><span class="hljs-type">int</span> _max(<span class="hljs-type">int</span> a, <span class="hljs-type">int</span> b) &#123;<br>	<span class="hljs-keyword">return</span> a &gt; b ? a : b;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	ios::<span class="hljs-built_in">sync_with_stdio</span>(<span class="hljs-literal">false</span>);<br>	cin.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br>	cout.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br>	<span class="hljs-type">int</span> n;<br>	cin &gt;&gt; n;<br><br>	<span class="hljs-type">int</span> idx;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= n; i++) &#123;<br>		cin &gt;&gt; idx &gt;&gt; itime[i];<br><br>		<span class="hljs-type">int</span> prepa;<br>		cin &gt;&gt; prepa;<br>		<span class="hljs-keyword">while</span> (prepa) &#123;<br>			prepare[i].<span class="hljs-built_in">push_back</span>(prepa);<br>			cin &gt;&gt; prepa;<br>		&#125;<br>	&#125;<br><br><br>	<span class="hljs-type">int</span> ans = <span class="hljs-number">0</span>;<br>	finishTime[<span class="hljs-number">1</span>] = itime[<span class="hljs-number">1</span>];<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">2</span>; i &lt;= n; i++) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-keyword">auto</span>&amp; t : prepare[i]) &#123;<br>			finishTime[i] = _max(finishTime[i], finishTime[t] + itime[i]);<br>		&#125;<br>		ans = _max(ans, finishTime[i]);<br>	&#125;<br><br>	cout &lt;&lt; ans;<br>	<br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br><br></code></pre></td></tr></table></figure>
 ]]></content>
       <categories>
         <category>C++</category>
@@ -3503,126 +3599,69 @@ $$</p>
 <li>
 <p>不可以引用除stdio.h之外的头文件库。</p>
 </li>
-<li>
-<p>若使用排序，排序函数应手动实现。</p>
-</li>
-</ul>
-<blockquote>
-<p>以下四种思路均可得分</p>
-</blockquote>
-<h3 id="思路一（两个函数）">思路一（两个函数）</h3>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-meta">#<span class="hljs-keyword">include</span><span class="hljs-string">&lt;stdio.h&gt;</span></span><br><span class="hljs-type">int</span> <span class="hljs-title function_">getMax</span><span class="hljs-params">(<span class="hljs-type">int</span> arr[], <span class="hljs-type">int</span> sz)</span> &#123;<br>    <span class="hljs-type">int</span> max = arr[<span class="hljs-number">0</span>];<br>    <span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt; sz; i++) &#123;<br>        <span class="hljs-keyword">if</span> (max &lt; arr[i]) &#123;<br>            max = arr[i];<br>        &#125;<br>    &#125;<br>    <span class="hljs-keyword">return</span> max;<br>&#125;<br><br><span class="hljs-type">int</span> <span class="hljs-title function_">getMin</span><span class="hljs-params">(<span class="hljs-type">int</span> arr[], <span class="hljs-type">int</span> sz)</span> &#123;<br>    <span class="hljs-type">int</span> min = arr[<span class="hljs-number">0</span>];<br>    <span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt; sz; i++) &#123;<br>        <span class="hljs-keyword">if</span> (min &gt; arr[i]) &#123;<br>            min = arr[i];<br>        &#125;<br>    &#125;<br>    <span class="hljs-keyword">return</span> min;<br>&#125;<br><span class="hljs-type">int</span> <span class="hljs-title function_">main</span><span class="hljs-params">()</span><br>&#123;<br>    <span class="hljs-type">int</span> b, c;<br>    <span class="hljs-type">int</span> arr[] = &#123; <span class="hljs-number">1</span>,<span class="hljs-number">2</span>,<span class="hljs-number">3</span>,<span class="hljs-number">4</span>,<span class="hljs-number">5</span>,<span class="hljs-number">-1</span>,<span class="hljs-number">-2</span>,<span class="hljs-number">-3</span>,<span class="hljs-number">-4</span>,<span class="hljs-number">-5</span> &#125;;<br>    <span class="hljs-type">int</span> sz = <span class="hljs-keyword">sizeof</span> arr / <span class="hljs-keyword">sizeof</span> arr[<span class="hljs-number">0</span>];<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;最大值为%d\n&quot;</span>, getMax(arr, sz));<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;最小值为%d\n&quot;</span>, getMin(arr, sz));<br>    <span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br></code></pre></td></tr></table></figure>
-<h3 id="思路二-一个函数，指针实现">思路二(一个函数，指针实现)</h3>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdio.h&gt;</span></span><br><br><span class="hljs-type">void</span> <span class="hljs-title function_">findMinMax</span><span class="hljs-params">(<span class="hljs-type">int</span> arr[], <span class="hljs-type">int</span> size, <span class="hljs-type">int</span>* min, <span class="hljs-type">int</span>* max)</span> &#123;<br>    *min = *max = arr[<span class="hljs-number">0</span>];<br><br>    <span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt; size; i++) &#123;<br>        <span class="hljs-keyword">if</span> (arr[i] &gt; *max) &#123;<br>            *max = arr[i];<br>        &#125;<br>        <span class="hljs-keyword">if</span> (arr[i] &lt; *min) &#123;<br>            *min = arr[i];<br>        &#125;<br>    &#125;<br>&#125;<br><br><span class="hljs-type">int</span> <span class="hljs-title function_">main</span><span class="hljs-params">()</span> &#123;<br>    <span class="hljs-type">int</span> <span class="hljs-built_in">array</span>[] = &#123; <span class="hljs-number">7</span>,<span class="hljs-number">89</span>,<span class="hljs-number">76</span>,<span class="hljs-number">-34</span>,<span class="hljs-number">-9</span>,<span class="hljs-number">123</span>,<span class="hljs-number">26</span>,<span class="hljs-number">421</span>,<span class="hljs-number">124</span>,<span class="hljs-number">87</span>,<span class="hljs-number">7</span> &#125;;<br>    <span class="hljs-type">int</span> size = <span class="hljs-keyword">sizeof</span>(<span class="hljs-built_in">array</span>) / <span class="hljs-keyword">sizeof</span>(<span class="hljs-built_in">array</span>[<span class="hljs-number">0</span>]);<br>    <span class="hljs-type">int</span> minValue, maxValue;<br><br>    findMinMax(<span class="hljs-built_in">array</span>, size, &amp;minValue, &amp;maxValue);<br><br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;最小值为: %d\n&quot;</span>, minValue);<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;最大值为: %d\n&quot;</span>, maxValue);<br><br>    <span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br><br></code></pre></td></tr></table></figure>
-<h3 id="思路三-（一个函数，结构体实现）">思路三 （一个函数，结构体实现）</h3>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-meta">#<span class="hljs-keyword">include</span><span class="hljs-string">&lt;stdio.h&gt;</span></span><br><br><span class="hljs-keyword">typedef</span> <span class="hljs-class"><span class="hljs-keyword">struct</span> <span class="hljs-title">VALUE</span>&#123;</span><br>	<span class="hljs-type">int</span> max;<br>	<span class="hljs-type">int</span> min;<br>&#125;VALUE;<br><br>VALUE <span class="hljs-title function_">findMinMax</span><span class="hljs-params">(<span class="hljs-type">int</span> arr[], <span class="hljs-type">int</span> sz)</span><br>&#123;<br>    VALUE value = &#123; <span class="hljs-number">0</span>,<span class="hljs-number">0</span> &#125;;<br>    <span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt; sz; i++) &#123;<br>        <span class="hljs-keyword">if</span> (arr[i] &gt; value.max) &#123;<br>            value.max = arr[i];<br>        &#125;<br>        <span class="hljs-keyword">if</span> (arr[i] &lt; value.min) &#123;<br>            value.min = arr[i];<br>        &#125;<br>    &#125;<br>    <span class="hljs-keyword">return</span> value;<br>&#125;<br><br><br><span class="hljs-type">int</span> <span class="hljs-title function_">main</span><span class="hljs-params">()</span><br>&#123;<br>	<span class="hljs-type">int</span> arr[] = &#123; <span class="hljs-number">7</span>,<span class="hljs-number">89</span>,<span class="hljs-number">76</span>,<span class="hljs-number">-34</span>,<span class="hljs-number">123</span>,<span class="hljs-number">26</span>,<span class="hljs-number">421</span>,<span class="hljs-number">124</span>,<span class="hljs-number">87</span>,<span class="hljs-number">7</span> &#125;;<br>	<span class="hljs-type">int</span> sz = <span class="hljs-keyword">sizeof</span>(arr) / <span class="hljs-keyword">sizeof</span>(arr[<span class="hljs-number">0</span>]);<br><br>    VALUE value = findMinMax(arr, sz);<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;最大值为%d\n&quot;</span>, value.max);<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;最小值为%d\n&quot;</span>, value.min);<br>    <span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br></code></pre></td></tr></table></figure>
-<h3 id="思路四（一个函数，排序实现）">思路四（一个函数，排序实现）</h3>
-<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-meta">#<span class="hljs-keyword">include</span><span class="hljs-string">&lt;stdio.h&gt;</span></span><br><span class="hljs-type">void</span> _sort(<span class="hljs-type">int</span> arr[], <span class="hljs-type">int</span> sz)<br>&#123;<br>	<span class="hljs-type">int</span> temp = <span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; sz; i++) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = i + <span class="hljs-number">1</span>; j &lt; sz; j++) &#123;<br>			<span class="hljs-keyword">if</span> (arr[i] &gt; arr[j]) &#123;<br>				temp = arr[i];<br>				arr[i] = arr[j];<br>				arr[j] = temp;<br>			&#125;<br>		&#125;<br>	&#125;<br>&#125;<br><br><br><span class="hljs-type">int</span> <span class="hljs-title function_">main</span><span class="hljs-params">()</span><br>&#123;<br>	<span class="hljs-type">int</span> arr[] = &#123; <span class="hljs-number">7</span>,<span class="hljs-number">89</span>,<span class="hljs-number">76</span>,<span class="hljs-number">-34</span>,<span class="hljs-number">123</span>,<span class="hljs-number">26</span>,<span class="hljs-number">421</span>,<span class="hljs-number">124</span>,<span class="hljs-number">87</span>,<span class="hljs-number">7</span> &#125;;<br>	<span class="hljs-type">int</span> sz = <span class="hljs-keyword">sizeof</span>(arr) / <span class="hljs-keyword">sizeof</span>(arr[<span class="hljs-number">0</span>]);<br>	_sort(arr, sz);<br><br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;最大值为%d\n&quot;</span>, arr[sz - <span class="hljs-number">1</span>]);<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;最小值为%d\n&quot;</span>, arr[<span class="hljs-number">0</span>]);<br>    <span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br><br></code></pre></td></tr></table></figure>
-]]></content>
-      <categories>
-        <category>C/C++</category>
-      </categories>
-      <tags>
-        <tag>AIR实验室</tag>
-        <tag>C语言考核</tag>
-      </tags>
-  </entry>
-  <entry>
-    <title>夸父计划--源空间</title>
-    <url>/posts/34206.html</url>
-    <content><![CDATA[<h1><strong>夸父计划–源空间</strong></h1>
-<p>“咱这才刚建成空间站，‘夸父’计划就要施行了？”</p>
-<p>“国家做了这个决定，肯定是有原因的，出行前不是说了吗，太阳活动骤减，地面部分探测数据无法进行演算，需要进行近距离观测。这事关乎着我们人类的安危！”</p>
-<p>“先别闲聊了！你们俩赶紧过来帮忙！'夸父’不行了！”</p>
-<p>空间站上，陈星、赵庆方、陈建成正紧张有序地推进着’夸父’号的在轨建设，听到陈建成的声音，其余两人迅速赶到了连接枢纽，看到闪着红光的’夸父’，陈星、赵庆方两两相视，“他果然又不看说明书”。</p>
-<p>&quot; ‘夸父’ 是在自动校验电路，这时候你不要靠近&quot;陈星朝陈建成传话到。</p>
-<p>&quot;那，那为什么连个燃料装填口都没有啊！“陈建成敲了敲一旁的&quot;夸父”，隔着面罩都能猜到，他现在又是一脸懵逼的表情。</p>
-<p>&quot;不要拿常识去猜测，'夸父’用的是曲率引擎，能源预填充。不过我实在没想到，国家竟然已经完成了1级曲率引擎的理论实际转向，明明曲率泡很难维持……航行速度理论可达1c(1光速)，虽然眼前这个是半成品，但那3%效率也够我们在三个小时之内到达水星了&quot;赵庆方想把右手扶在下巴上，结果摸到了圆圆的面罩，无奈只能叉起了手。</p>
-<p>&quot;给，操作手册。&quot;随着陈星将面前的文件划出，陈建成的面罩显示出了《'夸父’计划操作手册》。</p>
-<p>&quot;其实我有看的，嗯，当时考的时候我可是满分！&quot;陈建成抬了抬自己的头，双手叉在腰上。</p>
-<p>&quot;噗，确实，在座的都是。赶紧完成外部构件吧，电路校验完就准备安装，国家是希望我们越早完成越好的。&quot;陈星一边传话，一边忙着手里的工作。</p>
-<p>……建设工作一共持续了3个月……</p>
-<p>“通知地面部分，这里是天宫，我们已经完成了’夸父’的在轨建设，比预计时间节约了4小时35分钟”</p>
-<p>“这里是北京航天飞行控制中心指挥大厅，你们做的很棒，根据上级指示，可以进行’夸父’计划。”</p>
-<p>“陈星收到！”，“陈建成收到！”，&quot;赵庆方收到！&quot;伴随着短暂的数据确认，航天员们穿上了印有’夸父’字样的航天服，这件衣服相比于以往的航天服，显得苗条了不少……</p>
-<p>“通知地面部分，飞船即将加速脱离天链卫星通信范围，我们将严格按照计划抛出中继通信点。”</p>
-<p>(2小时52分钟后)&quot;通知地面部分，我等已避开水星重力场范围，‘夸父’已成功定轨！舰载‘逐日号’已准备完毕，请求开始探测。&quot;赵庆方紧盯着屏幕上的距离标识，等候地面下一步指示。</p>
-<p>“可以进行探测。”，“夸父收到”，“通知，已解除逐日号固定构件。”……</p>
-<p>&quot;陈建成，一定要避免太阳引力场捕获！非必要前提下禁止使用人工操作！&quot;陈星非常严肃的向陈建成传话道。&quot;好嘞老大！得令！&quot;陈建成的眼神变得犀利起来。</p>
-<p>“赵庆方，我们已到达预定位置，可以与’夸父’同步。”</p>
-<p>&quot;指令收到，已开始远望观测同步，数据获取中。&quot;赵庆方紧张的盯着面前的屏幕，上面显现出了1%的字样。</p>
-<p>(43小时后)“通知地面部分，数据已经收集完毕，已通知‘逐日’号返航。”</p>
-<p>“收到，你们辛苦了，请依照计划，抛出空间锚点后返航。”</p>
-<p>&quot;嘿咻，老大，终于干完了，我这都腰酸背痛……不对劲！老大！空间坐标104u,1179u,901u发现异常空间波动，据智能推算97%概率为人工虫洞，同时还发现与其相连的能量传输通路，地点是……可恶！是太阳！&quot;陈建成刚想给陈星发一个么么哒的表情，突如其来的异常却打断了他，“老大，咱们要不要？”</p>
-<p>&quot;嘶，人工虫洞？那应该早会被’夸父’发现，难道……&quot;陈星眉头紧锁，脑中的猜测不断被建立又不断被驳倒。</p>
-<p>“3号你说这会不会是？”，“咱们想到一块去了，1号。”</p>
-<p>&quot;啊？你们在打什么哑语？我怎么听不懂。&quot;陈建成听得一脸懵逼。</p>
-<p>“这是一个更高级文明建立的’虫洞’，如果不是你恰巧从它旁边经过，凭我们现在的检测手段根本无法发现”，陈星长舒了一口气，但表情依旧严肃。“’夸父’，替我转接地面。通知地面部分，想必你们已经知晓当前的情况，根据智能推算，太阳的能源如果依靠该虫洞以指数型传输，我们只剩下10天的时间……’夸父’计划航天员1号，陈星，请求进入虫洞！”</p>
-<p>“’夸父’计划航天员3号，赵庆方，请求进入虫洞！”</p>
-<p>“老大，老三，这种事不带我可不行，’夸父’计划航天员2号，陈建成，请求进入虫洞！”</p>
-<p>&quot;……&quot;沉默，良久的沉默。每个人都清楚面对未知这是一种多么危险的行为。</p>
-<p>“这里是北京航天飞行控制中心指挥大厅，我是总司令，我们将无条件支持你们的选择，你们的背后不仅是中国，还有整个地球……航天员陈星、赵庆方、陈建成，我以最高权限，批准进入。此指令不再重复，即刻执行。”</p>
-<p>……随着飞船信号的消失，陈星、赵庆方和陈建成同时到了一个，奇怪的光亮空间……</p>
-]]></content>
-      <categories>
-        <category>小说</category>
-      </categories>
-      <tags>
-        <tag>夸父计划</tag>
-      </tags>
-  </entry>
-  <entry>
-    <title>拓扑排序</title>
-    <url>/posts/22315.html</url>
-    <content><![CDATA[<h1>什么是拓扑排序？</h1>
-<p>在图论中，<strong>拓扑排序</strong>（Topological Sorting）是一个有向无环图（DAG, Directed Acyclic Graph）的所有顶点的线性序列。且该序列必须满足下面两个条件：</p>
-<p>每个顶点出现且只出现一次</p>
-<p>若存在一条从顶点 A 到顶点 B 的路径，那么在序列中顶点 A 出现在顶点 B 的前面</p>
-<p><strong>有向无环图（DAG）才有拓扑排序，非DAG图没有拓扑排序一说</strong></p>
-<h1>拓扑排序有什么用？</h1>
-<blockquote>
-<p><strong>它可以用来解决形如：</strong></p>
-<p>有n个任务需要完成，每个任务有一个耗时和一个前置任务列表，前置任务完成后才能开始当前任务。求完成所有任务的最短时间</p>
-<p>这样<strong>具有依赖关系</strong>的问题</p>
-</blockquote>
-<h1>拓扑排序的实现</h1>
-<blockquote>
-<p>实现拓扑排序的关键就是<strong>维护一个入度为0的顶点的集合</strong></p>
-</blockquote>
-<hr>
-<h2 id="Eg：P1113-杂务">Eg：<a href="https://www.luogu.com.cn/problem/P1113">P1113 杂务</a></h2>
-<h2 id="题目描述">题目描述</h2>
-<p><code>John</code>的农场在给奶牛挤奶前有很多杂务要完成，每一项杂务都需要一定的时间来完成它。比如：他们要将奶牛集合起来，将他们赶进牛棚，为奶牛清洗乳房以及一些其它工作。尽早将所有杂务完成是必要的，因为这样才有更多时间挤出更多的牛奶。当然，有些杂务必须在另一些杂务完成的情况下才能进行。比如：只有将奶牛赶进牛棚才能开始为它清洗乳房，还有在未给奶牛清洗乳房之前不能挤奶。我们把这些工作称为完成本项工作的准备工作。至少有一项杂务不要求有准备工作，这个可以最早着手完成的工作，标记为杂务$1$。<code>John</code>有需要完成的$n$个杂务的清单，并且这份清单是有一定顺序的，杂务$k(k&gt;1)$的准备工作只可能在杂务$1$至$k-1$中。</p>
-<p>写一个程序从$1$到$n$读入每个杂务的工作说明。计算出所有杂务都被完成的最短时间。当然互相没有关系的杂务可以同时工作，并且，你可以假定<code>John</code>的农场有足够多的工人来同时完成任意多项任务。</p>
-<h2 id="输入格式">输入格式</h2>
-<p>第1行：一个整数$n$，必须完成的杂务的数目($3 \le n \le 10,000$)；</p>
-<p>第$2$至$(n+1)$行： 共有$n$行，每行有一些用$1$个空格隔开的整数，分别表示：</p>
-<p>* 工作序号($1$至$n$,在输入文件中是有序的)；</p>
-<p>* 完成工作所需要的时间$len(1 \le len \le 100)$；</p>
-<p>* 一些必须完成的准备工作，总数不超过$100$个，由一个数字$0$结束。有些杂务没有需要准备的工作只描述一个单独的$0$，整个输入文件中不会出现多余的空格。</p>
-<h2 id="输出格式">输出格式</h2>
-<p>一个整数，表示完成所有杂务所需的最短时间。</p>
-<h2 id="样例-1">样例 #1</h2>
-<h3 id="样例输入-1">样例输入 #1</h3>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">7<br>1 5 0<br>2 2 1 0<br>3 3 2 0<br>4 6 1 0<br>5 1 2 4 0<br>6 8 2 4 0<br>7 4 3 5 6 0<br></code></pre></td></tr></table></figure>
-<h3 id="样例输出-1">样例输出 #1</h3>
-<figure class="highlight plaintext"><table><tr><td class="code"><pre><code class="hljs plaintext">23<br></code></pre></td></tr></table></figure>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;iostream&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;vector&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;queue&gt;</span></span><br><span class="hljs-keyword">using</span> <span class="hljs-keyword">namespace</span> std;<br><br><span class="hljs-meta">#<span class="hljs-keyword">define</span> MAXN 10001		</span><br>vector&lt;<span class="hljs-type">int</span>&gt; followUpTask[MAXN];<span class="hljs-comment">//邻接表存图，对于下标为i的节点，其存储的为i的后续任务</span><br><span class="hljs-type">int</span> inDrgee[MAXN];	<span class="hljs-comment">//入度</span><br><span class="hljs-type">int</span> timeNeed[MAXN];	<span class="hljs-comment">//任务所需时间</span><br><span class="hljs-type">int</span> timeOver[MAXN];	<span class="hljs-comment">//第i号任务总耗时</span><br><br><span class="hljs-type">int</span> n;	<span class="hljs-comment">//图的节点数</span><br><br><span class="hljs-type">int</span> _max(<span class="hljs-type">int</span> a, <span class="hljs-type">int</span> b) &#123;<br>	<span class="hljs-keyword">return</span> a &gt; b ? a : b;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">tuopu</span><span class="hljs-params">()</span> </span>&#123;<br>	queue&lt;<span class="hljs-type">int</span>&gt; q;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= n; i++) &#123;<br>		<span class="hljs-keyword">if</span> (!inDrgee[i]) &#123;	<span class="hljs-comment">//统计入度为0的点，放入队列，准备拓扑排序</span><br>			q.<span class="hljs-built_in">push</span>(i);<br>			timeOver[i] = timeNeed[i];	<span class="hljs-comment">//对于入度为0的点，它的总耗时就是自己任务所需时间</span><br>		&#125;<br>	&#125;<br><br>	<span class="hljs-keyword">while</span> (q.<span class="hljs-built_in">size</span>()) &#123;<br>		<span class="hljs-comment">//pre 存取的是入度为0的点(任务可以独立进行，或任务前置任务已经完成的任务点)</span><br>		<span class="hljs-type">int</span> pre = q.<span class="hljs-built_in">front</span>(); q.<span class="hljs-built_in">pop</span>();<br><br>		<span class="hljs-comment">//对于pre的后续任务，我们进行一个遍历</span><br>		<span class="hljs-keyword">for</span> (<span class="hljs-keyword">auto</span>&amp; crt : followUpTask[pre]) &#123;<br>			<span class="hljs-comment">//后续任务的耗时等于：max( 后续任务耗时 , pre任务+后续任务耗时 )</span><br>			timeOver[crt] = _max(timeOver[crt], timeOver[pre] + timeNeed[crt]);<br><br>			<span class="hljs-comment">//如果该后续任务的所有前置均完成（入度为0），将该后续任务放入队列，作为拓扑排序的新节点</span><br>			<span class="hljs-keyword">if</span> (!--inDrgee[crt])q.<span class="hljs-built_in">push</span>(crt);<br>		&#125;<br>	&#125;<br><br>	<span class="hljs-type">int</span> ans = <span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= n; i++) &#123;<br>		ans = _max(ans, timeOver[i]);<br>	&#125;<br><br><br>	<span class="hljs-keyword">return</span> ans;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	ios::<span class="hljs-built_in">sync_with_stdio</span>(<span class="hljs-literal">false</span>);<br>	cin.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br>	cout.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br><br>	cin &gt;&gt; n;<br><br>	<span class="hljs-type">int</span> idx;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= n; i++) &#123;<br>		cin &gt;&gt; idx &gt;&gt; timeNeed[i];<br><br>		<span class="hljs-type">int</span> preTask;<br>		cin &gt;&gt; preTask;<br>		<span class="hljs-keyword">while</span> (preTask) &#123;<br>			<span class="hljs-comment">//反向存储</span><br>			<span class="hljs-comment">//对于前置任务preTask，存储其后续任务</span><br>			followUpTask[preTask].<span class="hljs-built_in">push_back</span>(i);<br>			inDrgee[i]++;	<span class="hljs-comment">//后续任务入度加一</span><br>			cin &gt;&gt; preTask;<br>		&#125;<br>	&#125;<br><br>	cout &lt;&lt; <span class="hljs-built_in">tuopu</span>();<br>	<br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br></code></pre></td></tr></table></figure>
-<p>自问自答：</p>
+<li>
+<p>若使用排序，排序函数应手动实现。</p>
+</li>
+</ul>
 <blockquote>
-<p>Q：为什么是取max？</p>
-<p>A：因为任务是<strong>不限制人数的可并行完成模式</strong>，在已经计算出每个任务所需耗时后，所有任务中的最大耗时即为完成所有任务的最短耗时</p>
+<p>以下四种思路均可得分</p>
 </blockquote>
-<h2 id="利用拓扑排序思维的不建图实现（硬性要求1号任务不需要前置任务）">利用拓扑排序思维的不建图实现（硬性要求1号任务不需要前置任务）</h2>
-<figure class="highlight c++"><table><tr><td class="code"><pre><code class="hljs c++"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;iostream&gt;</span></span><br><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;vector&gt;</span></span><br><span class="hljs-keyword">using</span> <span class="hljs-keyword">namespace</span> std;<br><br><span class="hljs-type">int</span> itime[<span class="hljs-number">10001</span>];<br><span class="hljs-type">int</span> finishTime[<span class="hljs-number">10001</span>];<br>vector&lt;<span class="hljs-type">int</span>&gt; prepare[<span class="hljs-number">10001</span>];<br><br><span class="hljs-type">int</span> _max(<span class="hljs-type">int</span> a, <span class="hljs-type">int</span> b) &#123;<br>	<span class="hljs-keyword">return</span> a &gt; b ? a : b;<br>&#125;<br><br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span> </span>&#123;<br>	ios::<span class="hljs-built_in">sync_with_stdio</span>(<span class="hljs-literal">false</span>);<br>	cin.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br>	cout.<span class="hljs-built_in">tie</span>(<span class="hljs-number">0</span>);<br>	<span class="hljs-type">int</span> n;<br>	cin &gt;&gt; n;<br><br>	<span class="hljs-type">int</span> idx;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt;= n; i++) &#123;<br>		cin &gt;&gt; idx &gt;&gt; itime[i];<br><br>		<span class="hljs-type">int</span> prepa;<br>		cin &gt;&gt; prepa;<br>		<span class="hljs-keyword">while</span> (prepa) &#123;<br>			prepare[i].<span class="hljs-built_in">push_back</span>(prepa);<br>			cin &gt;&gt; prepa;<br>		&#125;<br>	&#125;<br><br><br>	<span class="hljs-type">int</span> ans = <span class="hljs-number">0</span>;<br>	finishTime[<span class="hljs-number">1</span>] = itime[<span class="hljs-number">1</span>];<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">2</span>; i &lt;= n; i++) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-keyword">auto</span>&amp; t : prepare[i]) &#123;<br>			finishTime[i] = _max(finishTime[i], finishTime[t] + itime[i]);<br>		&#125;<br>		ans = _max(ans, finishTime[i]);<br>	&#125;<br><br>	cout &lt;&lt; ans;<br>	<br>	<span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br><br></code></pre></td></tr></table></figure>
+<h3 id="思路一（两个函数）">思路一（两个函数）</h3>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-meta">#<span class="hljs-keyword">include</span><span class="hljs-string">&lt;stdio.h&gt;</span></span><br><span class="hljs-type">int</span> <span class="hljs-title function_">getMax</span><span class="hljs-params">(<span class="hljs-type">int</span> arr[], <span class="hljs-type">int</span> sz)</span> &#123;<br>    <span class="hljs-type">int</span> max = arr[<span class="hljs-number">0</span>];<br>    <span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt; sz; i++) &#123;<br>        <span class="hljs-keyword">if</span> (max &lt; arr[i]) &#123;<br>            max = arr[i];<br>        &#125;<br>    &#125;<br>    <span class="hljs-keyword">return</span> max;<br>&#125;<br><br><span class="hljs-type">int</span> <span class="hljs-title function_">getMin</span><span class="hljs-params">(<span class="hljs-type">int</span> arr[], <span class="hljs-type">int</span> sz)</span> &#123;<br>    <span class="hljs-type">int</span> min = arr[<span class="hljs-number">0</span>];<br>    <span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt; sz; i++) &#123;<br>        <span class="hljs-keyword">if</span> (min &gt; arr[i]) &#123;<br>            min = arr[i];<br>        &#125;<br>    &#125;<br>    <span class="hljs-keyword">return</span> min;<br>&#125;<br><span class="hljs-type">int</span> <span class="hljs-title function_">main</span><span class="hljs-params">()</span><br>&#123;<br>    <span class="hljs-type">int</span> b, c;<br>    <span class="hljs-type">int</span> arr[] = &#123; <span class="hljs-number">1</span>,<span class="hljs-number">2</span>,<span class="hljs-number">3</span>,<span class="hljs-number">4</span>,<span class="hljs-number">5</span>,<span class="hljs-number">-1</span>,<span class="hljs-number">-2</span>,<span class="hljs-number">-3</span>,<span class="hljs-number">-4</span>,<span class="hljs-number">-5</span> &#125;;<br>    <span class="hljs-type">int</span> sz = <span class="hljs-keyword">sizeof</span> arr / <span class="hljs-keyword">sizeof</span> arr[<span class="hljs-number">0</span>];<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;最大值为%d\n&quot;</span>, getMax(arr, sz));<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;最小值为%d\n&quot;</span>, getMin(arr, sz));<br>    <span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br></code></pre></td></tr></table></figure>
+<h3 id="思路二-一个函数，指针实现">思路二(一个函数，指针实现)</h3>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;stdio.h&gt;</span></span><br><br><span class="hljs-type">void</span> <span class="hljs-title function_">findMinMax</span><span class="hljs-params">(<span class="hljs-type">int</span> arr[], <span class="hljs-type">int</span> size, <span class="hljs-type">int</span>* min, <span class="hljs-type">int</span>* max)</span> &#123;<br>    *min = *max = arr[<span class="hljs-number">0</span>];<br><br>    <span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt; size; i++) &#123;<br>        <span class="hljs-keyword">if</span> (arr[i] &gt; *max) &#123;<br>            *max = arr[i];<br>        &#125;<br>        <span class="hljs-keyword">if</span> (arr[i] &lt; *min) &#123;<br>            *min = arr[i];<br>        &#125;<br>    &#125;<br>&#125;<br><br><span class="hljs-type">int</span> <span class="hljs-title function_">main</span><span class="hljs-params">()</span> &#123;<br>    <span class="hljs-type">int</span> <span class="hljs-built_in">array</span>[] = &#123; <span class="hljs-number">7</span>,<span class="hljs-number">89</span>,<span class="hljs-number">76</span>,<span class="hljs-number">-34</span>,<span class="hljs-number">-9</span>,<span class="hljs-number">123</span>,<span class="hljs-number">26</span>,<span class="hljs-number">421</span>,<span class="hljs-number">124</span>,<span class="hljs-number">87</span>,<span class="hljs-number">7</span> &#125;;<br>    <span class="hljs-type">int</span> size = <span class="hljs-keyword">sizeof</span>(<span class="hljs-built_in">array</span>) / <span class="hljs-keyword">sizeof</span>(<span class="hljs-built_in">array</span>[<span class="hljs-number">0</span>]);<br>    <span class="hljs-type">int</span> minValue, maxValue;<br><br>    findMinMax(<span class="hljs-built_in">array</span>, size, &amp;minValue, &amp;maxValue);<br><br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;最小值为: %d\n&quot;</span>, minValue);<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;最大值为: %d\n&quot;</span>, maxValue);<br><br>    <span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br><br></code></pre></td></tr></table></figure>
+<h3 id="思路三-（一个函数，结构体实现）">思路三 （一个函数，结构体实现）</h3>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-meta">#<span class="hljs-keyword">include</span><span class="hljs-string">&lt;stdio.h&gt;</span></span><br><br><span class="hljs-keyword">typedef</span> <span class="hljs-class"><span class="hljs-keyword">struct</span> <span class="hljs-title">VALUE</span>&#123;</span><br>	<span class="hljs-type">int</span> max;<br>	<span class="hljs-type">int</span> min;<br>&#125;VALUE;<br><br>VALUE <span class="hljs-title function_">findMinMax</span><span class="hljs-params">(<span class="hljs-type">int</span> arr[], <span class="hljs-type">int</span> sz)</span><br>&#123;<br>    VALUE value = &#123; <span class="hljs-number">0</span>,<span class="hljs-number">0</span> &#125;;<br>    <span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>; i &lt; sz; i++) &#123;<br>        <span class="hljs-keyword">if</span> (arr[i] &gt; value.max) &#123;<br>            value.max = arr[i];<br>        &#125;<br>        <span class="hljs-keyword">if</span> (arr[i] &lt; value.min) &#123;<br>            value.min = arr[i];<br>        &#125;<br>    &#125;<br>    <span class="hljs-keyword">return</span> value;<br>&#125;<br><br><br><span class="hljs-type">int</span> <span class="hljs-title function_">main</span><span class="hljs-params">()</span><br>&#123;<br>	<span class="hljs-type">int</span> arr[] = &#123; <span class="hljs-number">7</span>,<span class="hljs-number">89</span>,<span class="hljs-number">76</span>,<span class="hljs-number">-34</span>,<span class="hljs-number">123</span>,<span class="hljs-number">26</span>,<span class="hljs-number">421</span>,<span class="hljs-number">124</span>,<span class="hljs-number">87</span>,<span class="hljs-number">7</span> &#125;;<br>	<span class="hljs-type">int</span> sz = <span class="hljs-keyword">sizeof</span>(arr) / <span class="hljs-keyword">sizeof</span>(arr[<span class="hljs-number">0</span>]);<br><br>    VALUE value = findMinMax(arr, sz);<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;最大值为%d\n&quot;</span>, value.max);<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;最小值为%d\n&quot;</span>, value.min);<br>    <span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br></code></pre></td></tr></table></figure>
+<h3 id="思路四（一个函数，排序实现）">思路四（一个函数，排序实现）</h3>
+<figure class="highlight c"><table><tr><td class="code"><pre><code class="hljs c"><span class="hljs-meta">#<span class="hljs-keyword">include</span><span class="hljs-string">&lt;stdio.h&gt;</span></span><br><span class="hljs-type">void</span> _sort(<span class="hljs-type">int</span> arr[], <span class="hljs-type">int</span> sz)<br>&#123;<br>	<span class="hljs-type">int</span> temp = <span class="hljs-number">0</span>;<br>	<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>; i &lt; sz; i++) &#123;<br>		<span class="hljs-keyword">for</span> (<span class="hljs-type">int</span> j = i + <span class="hljs-number">1</span>; j &lt; sz; j++) &#123;<br>			<span class="hljs-keyword">if</span> (arr[i] &gt; arr[j]) &#123;<br>				temp = arr[i];<br>				arr[i] = arr[j];<br>				arr[j] = temp;<br>			&#125;<br>		&#125;<br>	&#125;<br>&#125;<br><br><br><span class="hljs-type">int</span> <span class="hljs-title function_">main</span><span class="hljs-params">()</span><br>&#123;<br>	<span class="hljs-type">int</span> arr[] = &#123; <span class="hljs-number">7</span>,<span class="hljs-number">89</span>,<span class="hljs-number">76</span>,<span class="hljs-number">-34</span>,<span class="hljs-number">123</span>,<span class="hljs-number">26</span>,<span class="hljs-number">421</span>,<span class="hljs-number">124</span>,<span class="hljs-number">87</span>,<span class="hljs-number">7</span> &#125;;<br>	<span class="hljs-type">int</span> sz = <span class="hljs-keyword">sizeof</span>(arr) / <span class="hljs-keyword">sizeof</span>(arr[<span class="hljs-number">0</span>]);<br>	_sort(arr, sz);<br><br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;最大值为%d\n&quot;</span>, arr[sz - <span class="hljs-number">1</span>]);<br>    <span class="hljs-built_in">printf</span>(<span class="hljs-string">&quot;最小值为%d\n&quot;</span>, arr[<span class="hljs-number">0</span>]);<br>    <span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br><br></code></pre></td></tr></table></figure>
 ]]></content>
       <categories>
-        <category>C++</category>
+        <category>C/C++</category>
       </categories>
       <tags>
-        <tag>图</tag>
+        <tag>AIR实验室</tag>
+        <tag>C语言考核</tag>
       </tags>
   </entry>
+  <entry>
+    <title>易语言json操作</title>
+    <url>/posts/7608.html</url>
+    <content><![CDATA[<h1>易语言 操作json</h1>
+<p>这里用到的是精易模块的json类<br>
+现在我们就来讲一下，json各种格式用json类来取值的方法：</p>
+<h4 id="1-单一键值对（取出单个value）"><strong>1. 单一键值对（取出单个value）</strong></h4>
+<figure class="highlight json"><table><tr><td class="code"><pre><code class="hljs json"><span class="hljs-punctuation">&#123;</span><br>	<span class="hljs-attr">&quot;name&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-string">&quot;丁丁&quot;</span><span class="hljs-punctuation">,</span><br>	<span class="hljs-attr">&quot;age&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-number">22</span><br><span class="hljs-punctuation">&#125;</span><br></code></pre></td></tr></table></figure>
+<p><img src="/img/page/e/1901769-ced07c8990b4d88e.png" alt="img"></p>
+<h4 id="2-数组之数值-遍历数组中的数值"><strong>2. 数组之数值(遍历数组中的数值)</strong></h4>
+<figure class="highlight json"><table><tr><td class="code"><pre><code class="hljs json"><span class="hljs-punctuation">&#123;</span><br>	<span class="hljs-attr">&quot;num&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-punctuation">[</span><span class="hljs-number">1</span><span class="hljs-punctuation">,</span> <span class="hljs-number">2</span><span class="hljs-punctuation">,</span> <span class="hljs-number">3</span><span class="hljs-punctuation">,</span> <span class="hljs-number">4</span><span class="hljs-punctuation">]</span><br><span class="hljs-punctuation">&#125;</span><br></code></pre></td></tr></table></figure>
+<p><img src="/img/page/e/1901769-041173f3892d0595.png" alt="img"></p>
+<h4 id="3-数组之键值对（遍历数组中某个key的value）"><strong>3. 数组之键值对（遍历数组中某个key的value）</strong></h4>
+<figure class="highlight json"><table><tr><td class="code"><pre><code class="hljs json"><span class="hljs-punctuation">&#123;</span><br>	<span class="hljs-attr">&quot;student&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-punctuation">[</span><span class="hljs-punctuation">&#123;</span><br>			<span class="hljs-attr">&quot;name&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-string">&quot;丁丁&quot;</span><span class="hljs-punctuation">,</span><br>			<span class="hljs-attr">&quot;age&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-number">22</span><br>		<span class="hljs-punctuation">&#125;</span><span class="hljs-punctuation">,</span><br>		<span class="hljs-punctuation">&#123;</span><br>			<span class="hljs-attr">&quot;name&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-string">&quot;yanyu&quot;</span><span class="hljs-punctuation">,</span><br>			<span class="hljs-attr">&quot;age&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-number">20</span><br>		<span class="hljs-punctuation">&#125;</span><br>	<span class="hljs-punctuation">]</span><br><span class="hljs-punctuation">&#125;</span><br></code></pre></td></tr></table></figure>
+<p><img src="/img/page/e/1901769-34a521a1adebd48f.png" alt="img"></p>
+<h4 id="4-键值对套键值对-3的其他一个部分；遍历一个键值对的所有value"><strong>4. 键值对套键值对(3的其他一个部分；遍历一个键值对的所有value)</strong></h4>
+<figure class="highlight json"><table><tr><td class="code"><pre><code class="hljs json"><span class="hljs-punctuation">&#123;</span><br>	<span class="hljs-attr">&quot;student&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-punctuation">&#123;</span><br>		<span class="hljs-attr">&quot;name&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-string">&quot;丁丁&quot;</span><span class="hljs-punctuation">,</span><br>		<span class="hljs-attr">&quot;age&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-number">22</span><br>	<span class="hljs-punctuation">&#125;</span><br><span class="hljs-punctuation">&#125;</span><br></code></pre></td></tr></table></figure>
+<p><img src="/img/page/e/1901769-97a29706a808c8d4.png" alt="img"></p>
+<h4 id="5-类-json-取通用属性（支持a-b-c-0-或者-0-a-b-取所有Name值）"><strong>5. 类_json 取通用属性（支持a.b.c[0]或者[0].a.b; 取所有Name值）</strong></h4>
+<p>如果现在只是为了取某一个值，并不需要遍历，那么可以使用该方法</p>
+<figure class="highlight json"><table><tr><td class="code"><pre><code class="hljs json"><span class="hljs-punctuation">&#123;</span><br>	<span class="hljs-attr">&quot;name&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-string">&quot;丁丁&quot;</span><span class="hljs-punctuation">,</span><br>	<span class="hljs-attr">&quot;person&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-punctuation">&#123;</span><br>		<span class="hljs-attr">&quot;name&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-string">&quot;yanyu&quot;</span><span class="hljs-punctuation">,</span><br>		<span class="hljs-attr">&quot;age&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-number">20</span><br>	<span class="hljs-punctuation">&#125;</span><span class="hljs-punctuation">,</span><br>	<span class="hljs-attr">&quot;student&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-punctuation">[</span><span class="hljs-punctuation">&#123;</span><br>		<span class="hljs-attr">&quot;name&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-string">&quot;丁昌江&quot;</span><span class="hljs-punctuation">,</span><br>		<span class="hljs-attr">&quot;age&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-number">22</span><br>	<span class="hljs-punctuation">&#125;</span><span class="hljs-punctuation">]</span><br><span class="hljs-punctuation">&#125;</span><br><span class="hljs-punctuation">&#125;</span><br></code></pre></td></tr></table></figure>
+<p><img src="/img/page/e/1901769-ff969610e13ed1e2.png" alt="img"></p>
+<h4 id="最后">最后</h4>
+<p>OK！到这儿就差不多讲完了json的读取操作，其他的呢？<br>
+添加json属性 删除属性 修改属性这些操作请各位看官自己琢磨了；<br>
+我相信有了上面的基础，应该不难了吧</p>
+<p><img src="/img/page/e/1901769-a23cff8c078f4b90.png" alt="img"></p>
+<h4 id="补充：">补充：</h4>
+<ul>
+<li>取成员属性不管是数值还是字符串，取到的都是字符类型<br>
+如果要取数值，请使用“取成员数值()”</li>
+<li>如果要获取修改后的内容，请直接使用json去操作</li>
+</ul>
+<p><img src="/img/page/e/1901769-bc52971a2dc23ba8.png" alt="img"></p>
+]]></content>
+      <categories>
+        <category>易语言</category>
+      </categories>
+  </entry>
   <entry>
     <title>最短路</title>
     <url>/posts/19070.html</url>
@@ -3697,6 +3736,25 @@ $$</p>
         <tag>图</tag>
       </tags>
   </entry>
+  <entry>
+    <title>树的表示</title>
+    <url>/posts/30396.html</url>
+    <content><![CDATA[<h1>链表实现</h1>
+<p><img src="/img/page/tree!%5Bimg%5D(file:///C:%5CUsers%5Cdrluo%5CAppData%5CRoaming%5CTencent%5CQQTempSys)A%5BY)I~%5D(ZC9Z%5B3Y)IDK7LK.gif" alt="">stDo.webp)</p>
+<p>图中右下角的样式不统一，若统一为3项，则有大量空间浪费，不妨如此这般</p>
+<p><img src="/img/page/tree/SonAndBro.webp" alt=""></p>
+<p><img src="/img/page/tree/SonAndBroEG.webp" alt=""></p>
+<p>左侧结点存储<strong>儿子</strong>，右侧结点存储<strong>兄弟</strong></p>
+<p>这样的表示方式为：<strong>二叉树</strong></p>
+<p><img src="/img/page/tree/Binarytree.webp" alt=""></p>
+]]></content>
+      <categories>
+        <category>C++</category>
+      </categories>
+      <tags>
+        <tag>树</tag>
+      </tags>
+  </entry>
   <entry>
     <title>杂谈</title>
     <url>/posts/12326.html</url>
@@ -3752,64 +3810,6 @@ $$</p>
         <tag>与我有关</tag>
       </tags>
   </entry>
-  <entry>
-    <title>树的表示</title>
-    <url>/posts/30396.html</url>
-    <content><![CDATA[<h1>链表实现</h1>
-<p><img src="/img/page/tree!%5Bimg%5D(file:///C:%5CUsers%5Cdrluo%5CAppData%5CRoaming%5CTencent%5CQQTempSys)A%5BY)I~%5D(ZC9Z%5B3Y)IDK7LK.gif" alt="">stDo.webp)</p>
-<p>图中右下角的样式不统一，若统一为3项，则有大量空间浪费，不妨如此这般</p>
-<p><img src="/img/page/tree/SonAndBro.webp" alt=""></p>
-<p><img src="/img/page/tree/SonAndBroEG.webp" alt=""></p>
-<p>左侧结点存储<strong>儿子</strong>，右侧结点存储<strong>兄弟</strong></p>
-<p>这样的表示方式为：<strong>二叉树</strong></p>
-<p><img src="/img/page/tree/Binarytree.webp" alt=""></p>
-]]></content>
-      <categories>
-        <category>C++</category>
-      </categories>
-      <tags>
-        <tag>树</tag>
-      </tags>
-  </entry>
-  <entry>
-    <title>易语言json操作</title>
-    <url>/posts/7608.html</url>
-    <content><![CDATA[<h1>易语言 操作json</h1>
-<p>这里用到的是精易模块的json类<br>
-现在我们就来讲一下，json各种格式用json类来取值的方法：</p>
-<h4 id="1-单一键值对（取出单个value）"><strong>1. 单一键值对（取出单个value）</strong></h4>
-<figure class="highlight json"><table><tr><td class="code"><pre><code class="hljs json"><span class="hljs-punctuation">&#123;</span><br>	<span class="hljs-attr">&quot;name&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-string">&quot;丁丁&quot;</span><span class="hljs-punctuation">,</span><br>	<span class="hljs-attr">&quot;age&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-number">22</span><br><span class="hljs-punctuation">&#125;</span><br></code></pre></td></tr></table></figure>
-<p><img src="/img/page/e/1901769-ced07c8990b4d88e.png" alt="img"></p>
-<h4 id="2-数组之数值-遍历数组中的数值"><strong>2. 数组之数值(遍历数组中的数值)</strong></h4>
-<figure class="highlight json"><table><tr><td class="code"><pre><code class="hljs json"><span class="hljs-punctuation">&#123;</span><br>	<span class="hljs-attr">&quot;num&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-punctuation">[</span><span class="hljs-number">1</span><span class="hljs-punctuation">,</span> <span class="hljs-number">2</span><span class="hljs-punctuation">,</span> <span class="hljs-number">3</span><span class="hljs-punctuation">,</span> <span class="hljs-number">4</span><span class="hljs-punctuation">]</span><br><span class="hljs-punctuation">&#125;</span><br></code></pre></td></tr></table></figure>
-<p><img src="/img/page/e/1901769-041173f3892d0595.png" alt="img"></p>
-<h4 id="3-数组之键值对（遍历数组中某个key的value）"><strong>3. 数组之键值对（遍历数组中某个key的value）</strong></h4>
-<figure class="highlight json"><table><tr><td class="code"><pre><code class="hljs json"><span class="hljs-punctuation">&#123;</span><br>	<span class="hljs-attr">&quot;student&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-punctuation">[</span><span class="hljs-punctuation">&#123;</span><br>			<span class="hljs-attr">&quot;name&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-string">&quot;丁丁&quot;</span><span class="hljs-punctuation">,</span><br>			<span class="hljs-attr">&quot;age&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-number">22</span><br>		<span class="hljs-punctuation">&#125;</span><span class="hljs-punctuation">,</span><br>		<span class="hljs-punctuation">&#123;</span><br>			<span class="hljs-attr">&quot;name&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-string">&quot;yanyu&quot;</span><span class="hljs-punctuation">,</span><br>			<span class="hljs-attr">&quot;age&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-number">20</span><br>		<span class="hljs-punctuation">&#125;</span><br>	<span class="hljs-punctuation">]</span><br><span class="hljs-punctuation">&#125;</span><br></code></pre></td></tr></table></figure>
-<p><img src="/img/page/e/1901769-34a521a1adebd48f.png" alt="img"></p>
-<h4 id="4-键值对套键值对-3的其他一个部分；遍历一个键值对的所有value"><strong>4. 键值对套键值对(3的其他一个部分；遍历一个键值对的所有value)</strong></h4>
-<figure class="highlight json"><table><tr><td class="code"><pre><code class="hljs json"><span class="hljs-punctuation">&#123;</span><br>	<span class="hljs-attr">&quot;student&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-punctuation">&#123;</span><br>		<span class="hljs-attr">&quot;name&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-string">&quot;丁丁&quot;</span><span class="hljs-punctuation">,</span><br>		<span class="hljs-attr">&quot;age&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-number">22</span><br>	<span class="hljs-punctuation">&#125;</span><br><span class="hljs-punctuation">&#125;</span><br></code></pre></td></tr></table></figure>
-<p><img src="/img/page/e/1901769-97a29706a808c8d4.png" alt="img"></p>
-<h4 id="5-类-json-取通用属性（支持a-b-c-0-或者-0-a-b-取所有Name值）"><strong>5. 类_json 取通用属性（支持a.b.c[0]或者[0].a.b; 取所有Name值）</strong></h4>
-<p>如果现在只是为了取某一个值，并不需要遍历，那么可以使用该方法</p>
-<figure class="highlight json"><table><tr><td class="code"><pre><code class="hljs json"><span class="hljs-punctuation">&#123;</span><br>	<span class="hljs-attr">&quot;name&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-string">&quot;丁丁&quot;</span><span class="hljs-punctuation">,</span><br>	<span class="hljs-attr">&quot;person&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-punctuation">&#123;</span><br>		<span class="hljs-attr">&quot;name&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-string">&quot;yanyu&quot;</span><span class="hljs-punctuation">,</span><br>		<span class="hljs-attr">&quot;age&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-number">20</span><br>	<span class="hljs-punctuation">&#125;</span><span class="hljs-punctuation">,</span><br>	<span class="hljs-attr">&quot;student&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-punctuation">[</span><span class="hljs-punctuation">&#123;</span><br>		<span class="hljs-attr">&quot;name&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-string">&quot;丁昌江&quot;</span><span class="hljs-punctuation">,</span><br>		<span class="hljs-attr">&quot;age&quot;</span><span class="hljs-punctuation">:</span> <span class="hljs-number">22</span><br>	<span class="hljs-punctuation">&#125;</span><span class="hljs-punctuation">]</span><br><span class="hljs-punctuation">&#125;</span><br><span class="hljs-punctuation">&#125;</span><br></code></pre></td></tr></table></figure>
-<p><img src="/img/page/e/1901769-ff969610e13ed1e2.png" alt="img"></p>
-<h4 id="最后">最后</h4>
-<p>OK！到这儿就差不多讲完了json的读取操作，其他的呢？<br>
-添加json属性 删除属性 修改属性这些操作请各位看官自己琢磨了；<br>
-我相信有了上面的基础，应该不难了吧</p>
-<p><img src="/img/page/e/1901769-a23cff8c078f4b90.png" alt="img"></p>
-<h4 id="补充：">补充：</h4>
-<ul>
-<li>取成员属性不管是数值还是字符串，取到的都是字符类型<br>
-如果要取数值，请使用“取成员数值()”</li>
-<li>如果要获取修改后的内容，请直接使用json去操作</li>
-</ul>
-<p><img src="/img/page/e/1901769-bc52971a2dc23ba8.png" alt="img"></p>
-]]></content>
-      <categories>
-        <category>易语言</category>
-      </categories>
-  </entry>
   <entry>
     <title>模拟与高精度</title>
     <url>/posts/63704.html</url>
@@ -3992,65 +3992,6 @@ int main() &#123;
         <category>杂谈</category>
       </categories>
   </entry>
-  <entry>
-    <title>记一次gitee本地推送</title>
-    <url>/posts/1022.html</url>
-    <content><![CDATA[<h1>序言</h1>
-<p>上传项目到gitee的时候，遇到了一些奇奇怪怪的BUG，导致最终无法正确上传项目<br>
-此文章旨在利用Git命令行(用cmd也可以)的方式将代码从本地仓库上传到远程仓库</p>
-<h1>第一步 本地目录进入git</h1>
-<p><img src="/img/page/%E8%AE%B0%E4%B8%80%E6%AC%A1gitee%E6%9C%AC%E5%9C%B0%E6%8E%A8%E9%80%81/1.png" alt=""></p>
-<p>然后用下方代码初始化git，输入完以后就可以看到该目录下多了一个*.git*的隐藏文件</p>
-<figure class="highlight javascript"><table><tr><td class="code"><pre><code class="hljs javascript">git init<br></code></pre></td></tr></table></figure>
-<h1>第二步 将本地项目工作区的所有文件添加到暂存区</h1>
-<p>小数点 <strong>.</strong> ，意为添加文件夹下的所有文件<br>
-把 <strong>.</strong> 改为指定文件名即可添加项目中的指定文件</p>
-<figure class="highlight javascript"><table><tr><td class="code"><pre><code class="hljs javascript">git add .<br></code></pre></td></tr></table></figure>
-<h1>第三步 将暂存区的文件提交到本地仓库</h1>
-<p>这里的注释一般用作  <strong>提醒用户此次代码提交做的更改</strong></p>
-<figure class="highlight javascript"><table><tr><td class="code"><pre><code class="hljs javascript">git commit -m <span class="hljs-string">&quot;此次提交的注释&quot;</span><br></code></pre></td></tr></table></figure>
-<h1>创建gitee仓库</h1>
-<p>此步骤可以先做好</p>
-<h1>第五步 将本地代码仓库关联到 gitee 上</h1>
-<figure class="highlight javascript"><table><tr><td class="code"><pre><code class="hljs javascript">git remote add origin 仓库地址<br></code></pre></td></tr></table></figure>
-<p><img src="/img/page/%E8%AE%B0%E4%B8%80%E6%AC%A1gitee%E6%9C%AC%E5%9C%B0%E6%8E%A8%E9%80%81/2.png" alt="仓库地址"></p>
-<p>这此处的地址即为仓库地址</p>
-<p>在这一步时如果出现错误<code>error:remote origin already exists</code></p>
-<p><img src="/img/page/%E8%AE%B0%E4%B8%80%E6%AC%A1gitee%E6%9C%AC%E5%9C%B0%E6%8E%A8%E9%80%81/3.png" alt="仓库地址"></p>
-<p>输入：</p>
-<figure class="highlight javascript"><table><tr><td class="code"><pre><code class="hljs javascript">git remote rm origin<br>git remote add origin 仓库地址<br></code></pre></td></tr></table></figure>
-<p>即可解决</p>
-<h1>第六步 将代码由本地仓库上传到 gitee远程仓库</h1>
-<h2 id="6-1-获取远程库与本地同步合并">6.1 获取远程库与本地同步合并</h2>
-<p>如果远程库不为空必须做这一步，否则后面的提交可能会失败</p>
-<p>原因是  gitee 中的 <a href="http://README.md">README.md</a> 文件不在本地仓库中，可以通过该命令进行代码合并</p>
-<figure class="highlight javascript"><table><tr><td class="code"><pre><code class="hljs javascript">git pull --rebase origin master  <br></code></pre></td></tr></table></figure>
-<p>可能会遇到：</p>
-<p><img src="/img/page/%E8%AE%B0%E4%B8%80%E6%AC%A1gitee%E6%9C%AC%E5%9C%B0%E6%8E%A8%E9%80%81/4.png" alt="仓库地址"></p>
-<p>这时输入<code>git rebase --continue</code>后再输入<code>git pull --rebase origin master  </code>即可</p>
-<p><img src="/img/page/%E8%AE%B0%E4%B8%80%E6%AC%A1gitee%E6%9C%AC%E5%9C%B0%E6%8E%A8%E9%80%81/5.png" alt="仓库地址"></p>
-<h2 id="6-2-把当前分支-master-推送到远程">6.2 把当前分支 master 推送到远程</h2>
-<p>执行此命令后有可能会让输入用户名、密码</p>
-<figure class="highlight javascript"><table><tr><td class="code"><pre><code class="hljs javascript">git push -u origin master<br></code></pre></td></tr></table></figure>
-<p>执行完之后如果无错误就上传成功了（这里的 master 是 gitee 默认的分支</p>
-<blockquote>
-<p>如果本地的当前分支不是master，就用<code>git checkout master</code>切换到master分支</p>
-</blockquote>
-<blockquote>
-<p>如果想用本地当前分支上传代码，就用<code>git checkout 当前分支名称</code>切换成当前分支名即可</p>
-</blockquote>
-<h1>第七步 完成</h1>
-<h1>后记</h1>
-<p>如果后续仓库内容做了更新，就只需：</p>
-<figure class="highlight javascript"><table><tr><td class="code"><pre><code class="hljs javascript">git add .<br>git commit -m <span class="hljs-string">&quot;此次提交的注释&quot;</span><br>git remote rm origin<br>git remote add origin 仓库地址<br>git pull --rebase origin master  <br>git push -u origin master<br></code></pre></td></tr></table></figure>
-]]></content>
-      <categories>
-        <category>git</category>
-      </categories>
-      <tags>
-        <tag>gitee</tag>
-      </tags>
-  </entry>
   <entry>
     <title>百度Paddle模型训练</title>
     <url>/posts/62432.html</url>
@@ -4141,6 +4082,65 @@ int main() &#123;
         <tag>深度学习</tag>
       </tags>
   </entry>
+  <entry>
+    <title>记一次gitee本地推送</title>
+    <url>/posts/1022.html</url>
+    <content><![CDATA[<h1>序言</h1>
+<p>上传项目到gitee的时候，遇到了一些奇奇怪怪的BUG，导致最终无法正确上传项目<br>
+此文章旨在利用Git命令行(用cmd也可以)的方式将代码从本地仓库上传到远程仓库</p>
+<h1>第一步 本地目录进入git</h1>
+<p><img src="/img/page/%E8%AE%B0%E4%B8%80%E6%AC%A1gitee%E6%9C%AC%E5%9C%B0%E6%8E%A8%E9%80%81/1.png" alt=""></p>
+<p>然后用下方代码初始化git，输入完以后就可以看到该目录下多了一个*.git*的隐藏文件</p>
+<figure class="highlight javascript"><table><tr><td class="code"><pre><code class="hljs javascript">git init<br></code></pre></td></tr></table></figure>
+<h1>第二步 将本地项目工作区的所有文件添加到暂存区</h1>
+<p>小数点 <strong>.</strong> ，意为添加文件夹下的所有文件<br>
+把 <strong>.</strong> 改为指定文件名即可添加项目中的指定文件</p>
+<figure class="highlight javascript"><table><tr><td class="code"><pre><code class="hljs javascript">git add .<br></code></pre></td></tr></table></figure>
+<h1>第三步 将暂存区的文件提交到本地仓库</h1>
+<p>这里的注释一般用作  <strong>提醒用户此次代码提交做的更改</strong></p>
+<figure class="highlight javascript"><table><tr><td class="code"><pre><code class="hljs javascript">git commit -m <span class="hljs-string">&quot;此次提交的注释&quot;</span><br></code></pre></td></tr></table></figure>
+<h1>创建gitee仓库</h1>
+<p>此步骤可以先做好</p>
+<h1>第五步 将本地代码仓库关联到 gitee 上</h1>
+<figure class="highlight javascript"><table><tr><td class="code"><pre><code class="hljs javascript">git remote add origin 仓库地址<br></code></pre></td></tr></table></figure>
+<p><img src="/img/page/%E8%AE%B0%E4%B8%80%E6%AC%A1gitee%E6%9C%AC%E5%9C%B0%E6%8E%A8%E9%80%81/2.png" alt="仓库地址"></p>
+<p>这此处的地址即为仓库地址</p>
+<p>在这一步时如果出现错误<code>error:remote origin already exists</code></p>
+<p><img src="/img/page/%E8%AE%B0%E4%B8%80%E6%AC%A1gitee%E6%9C%AC%E5%9C%B0%E6%8E%A8%E9%80%81/3.png" alt="仓库地址"></p>
+<p>输入：</p>
+<figure class="highlight javascript"><table><tr><td class="code"><pre><code class="hljs javascript">git remote rm origin<br>git remote add origin 仓库地址<br></code></pre></td></tr></table></figure>
+<p>即可解决</p>
+<h1>第六步 将代码由本地仓库上传到 gitee远程仓库</h1>
+<h2 id="6-1-获取远程库与本地同步合并">6.1 获取远程库与本地同步合并</h2>
+<p>如果远程库不为空必须做这一步，否则后面的提交可能会失败</p>
+<p>原因是  gitee 中的 <a href="http://README.md">README.md</a> 文件不在本地仓库中，可以通过该命令进行代码合并</p>
+<figure class="highlight javascript"><table><tr><td class="code"><pre><code class="hljs javascript">git pull --rebase origin master  <br></code></pre></td></tr></table></figure>
+<p>可能会遇到：</p>
+<p><img src="/img/page/%E8%AE%B0%E4%B8%80%E6%AC%A1gitee%E6%9C%AC%E5%9C%B0%E6%8E%A8%E9%80%81/4.png" alt="仓库地址"></p>
+<p>这时输入<code>git rebase --continue</code>后再输入<code>git pull --rebase origin master  </code>即可</p>
+<p><img src="/img/page/%E8%AE%B0%E4%B8%80%E6%AC%A1gitee%E6%9C%AC%E5%9C%B0%E6%8E%A8%E9%80%81/5.png" alt="仓库地址"></p>
+<h2 id="6-2-把当前分支-master-推送到远程">6.2 把当前分支 master 推送到远程</h2>
+<p>执行此命令后有可能会让输入用户名、密码</p>
+<figure class="highlight javascript"><table><tr><td class="code"><pre><code class="hljs javascript">git push -u origin master<br></code></pre></td></tr></table></figure>
+<p>执行完之后如果无错误就上传成功了（这里的 master 是 gitee 默认的分支</p>
+<blockquote>
+<p>如果本地的当前分支不是master，就用<code>git checkout master</code>切换到master分支</p>
+</blockquote>
+<blockquote>
+<p>如果想用本地当前分支上传代码，就用<code>git checkout 当前分支名称</code>切换成当前分支名即可</p>
+</blockquote>
+<h1>第七步 完成</h1>
+<h1>后记</h1>
+<p>如果后续仓库内容做了更新，就只需：</p>
+<figure class="highlight javascript"><table><tr><td class="code"><pre><code class="hljs javascript">git add .<br>git commit -m <span class="hljs-string">&quot;此次提交的注释&quot;</span><br>git remote rm origin<br>git remote add origin 仓库地址<br>git pull --rebase origin master  <br>git push -u origin master<br></code></pre></td></tr></table></figure>
+]]></content>
+      <categories>
+        <category>git</category>
+      </categories>
+      <tags>
+        <tag>gitee</tag>
+      </tags>
+  </entry>
   <entry>
     <title>部署博客那些事</title>
     <url>/posts/33186.html</url>
@@ -4381,7 +4381,7 @@ int main() &#123;
 <h2 id="Paddle模型预测（mobilenet-ssd）">Paddle模型预测（mobilenet_ssd）</h2>
 <figure class="highlight python"><table><tr><td class="code"><pre><code class="hljs python"><span class="hljs-keyword">import</span> cv2<br><span class="hljs-keyword">import</span> numpy <span class="hljs-keyword">as</span> np<br><span class="hljs-comment"># 引用 paddle inference 预测库</span><br><span class="hljs-keyword">import</span> paddle.inference <span class="hljs-keyword">as</span> paddle_infer<br><span class="hljs-keyword">from</span> PIL <span class="hljs-keyword">import</span> Image<br><br><span class="hljs-comment"># 创建 config</span><br>config = paddle_infer.Config(<span class="hljs-string">&quot;./models/mobilenet_ssd/mobilenet-ssd-model&quot;</span>,<br>                             <span class="hljs-string">&quot;./models/mobilenet_ssd/mobilenet-ssd-params&quot;</span>)<br><br><span class="hljs-comment"># 根据 config 创建 predictor</span><br>predictor = paddle_infer.create_predictor(config)<br><br><span class="hljs-comment"># 获取输入 Tensor</span><br>input_names = predictor.get_input_names()<br>input_tensor = predictor.get_input_handle(input_names[<span class="hljs-number">0</span>])<br><br><span class="hljs-built_in">print</span>(input_names)<br><span class="hljs-built_in">print</span>(input_tensor)<br><br><span class="hljs-comment"># 从 CPU 获取数据，设置到 Tensor 内部</span><br>imgPath = <span class="hljs-string">&#x27;./frame/15.jpg&#x27;</span><br><br>cap = cv2.VideoCapture(<span class="hljs-string">&#x27;./models/mobilenet_ssd/sample.mp4&#x27;</span>)<br>frame = []<br><span class="hljs-keyword">while</span> <span class="hljs-literal">True</span>:<br>    ret, frame = cap.read()<br>    <span class="hljs-keyword">if</span> ret == <span class="hljs-literal">False</span>:<br>        <span class="hljs-keyword">break</span><br>    <span class="hljs-comment"># cv2.imwrite(&quot;./frame/frame.jpg&quot;, frame)</span><br>    <span class="hljs-comment"># imgPath = &#x27;./frame/frame.jpg&#x27;</span><br>    im = Image.fromarray(cv2.cvtColor(frame, cv2.COLOR_BGR2RGB))<span class="hljs-comment"># Image.open(imgPath)</span><br>    im = im.resize((<span class="hljs-number">300</span>, <span class="hljs-number">300</span>), Image.BICUBIC)<br><br>    <span class="hljs-comment"># img = cv2.cvtColor(numpy.asarray(im.resize((320, 240), Image.BICUBIC)), cv2.COLOR_RGB2BGR)#cv2.cvtColor(, cv2.COLOR_RGB2BGR)  # 转换代码</span><br>    <span class="hljs-comment"># cv2.imshow(&#x27;img&#x27;, img)  # opencv显示</span><br>    <span class="hljs-comment"># cv2.waitKey()</span><br><br>    im = np.array(im, dtype=np.float32).transpose(<span class="hljs-number">2</span>, <span class="hljs-number">0</span>, <span class="hljs-number">1</span>).reshape((<span class="hljs-number">1</span>, <span class="hljs-number">3</span>, <span class="hljs-number">300</span>, <span class="hljs-number">300</span>))<br>    mean = [<span class="hljs-number">121.636447</span>, <span class="hljs-number">125.696666</span>, <span class="hljs-number">124.807721</span>]<br>    <span class="hljs-comment"># mean = [127.5, 127.5, 127.5]</span><br>    scale = [<span class="hljs-number">0.007843</span>,<br>             <span class="hljs-number">0.007843</span>,<br>             <span class="hljs-number">0.007843</span>]<br>    std = [ <span class="hljs-number">69.480526</span>,<br>            <span class="hljs-number">66.625320</span>,<br>            <span class="hljs-number">50.616609</span>]<br><br>    <span class="hljs-keyword">for</span> ri <span class="hljs-keyword">in</span> <span class="hljs-built_in">range</span>(<span class="hljs-number">0</span>, <span class="hljs-number">300</span>):<br>        im[<span class="hljs-number">0</span>][<span class="hljs-number">0</span>][ri] = (im[<span class="hljs-number">0</span>][<span class="hljs-number">0</span>][ri] / <span class="hljs-number">255</span>)<span class="hljs-comment"># - (scale[0] - mean[0] / 255)</span><br>    <span class="hljs-keyword">for</span> gi <span class="hljs-keyword">in</span> <span class="hljs-built_in">range</span>(<span class="hljs-number">0</span>, <span class="hljs-number">300</span>):<br>        im[<span class="hljs-number">0</span>][<span class="hljs-number">1</span>][gi] = (im[<span class="hljs-number">0</span>][<span class="hljs-number">1</span>][gi] / <span class="hljs-number">255</span>)<span class="hljs-comment"># - (scale[1] - mean[1] / 255)</span><br>    <span class="hljs-keyword">for</span> bi <span class="hljs-keyword">in</span> <span class="hljs-built_in">range</span>(<span class="hljs-number">0</span>, <span class="hljs-number">300</span>):<br>        im[<span class="hljs-number">0</span>][<span class="hljs-number">2</span>][bi] = (im[<span class="hljs-number">0</span>][<span class="hljs-number">2</span>][bi] / <span class="hljs-number">255</span>)<span class="hljs-comment"># - (scale[2] - mean[2] / 255)</span><br><br>    fake_input = im<br><br>    input_tensor1 = predictor.get_input_handle(input_names[<span class="hljs-number">0</span>])<br>    input_tensor1.copy_from_cpu(im)<br>    <span class="hljs-comment">#</span><br>    <span class="hljs-comment"># im = np.asarray([[320.0/240.0, 320.0/320.0]], dtype=np.float32)</span><br>    <span class="hljs-comment"># input_tensor2 = predictor.get_input_handle(input_names[1])</span><br>    <span class="hljs-comment"># input_tensor2.copy_from_cpu(im)</span><br>    <span class="hljs-comment">#</span><br>    <span class="hljs-comment"># im = np.asarray([[608, 608]], dtype=np.float32)</span><br>    <span class="hljs-comment"># input_tensor2 = predictor.get_input_handle(input_names[2])</span><br>    <span class="hljs-comment"># input_tensor2.copy_from_cpu(im)</span><br><br>    <span class="hljs-comment"># 执行预测</span><br>    predictor.run()<br><br>    <span class="hljs-comment"># 获取输出 Tensor</span><br>    output_names = predictor.get_output_names()<br>    output_tensor = predictor.get_output_handle(output_names[<span class="hljs-number">0</span>])<br><br>    <span class="hljs-comment"># 从 Tensor 中获取数据到 CPU</span><br>    output_data = output_tensor.copy_to_cpu()<br><br>    <span class="hljs-comment"># 获取 Tensor 的维度信息</span><br>    output_shape = output_tensor.shape()<br><br>    <span class="hljs-comment"># 获取 Tensor 的数据类型</span><br>    output_type = output_tensor.<span class="hljs-built_in">type</span>()<br><br>    results = []<br>    i = <span class="hljs-number">0</span><br>    img = frame<br>    label_list = [<span class="hljs-string">&quot;background&quot;</span>, <span class="hljs-string">&quot;cone&quot;</span>, <span class="hljs-string">&quot;bridge&quot;</span>, <span class="hljs-string">&quot;pig&quot;</span>, <span class="hljs-string">&quot;tractor&quot;</span>, <span class="hljs-string">&quot;corn&quot;</span>, <span class="hljs-string">&quot;bump&quot;</span>, <span class="hljs-string">&quot;crosswalk&quot;</span>, <span class="hljs-string">&quot; &quot;</span>]<br>    label_list = [<span class="hljs-string">&quot;background&quot;</span>, <span class="hljs-string">&quot;cone&quot;</span>, <span class="hljs-string">&quot;granary&quot;</span>, <span class="hljs-string">&quot;bridge&quot;</span>, <span class="hljs-string">&quot;tractor&quot;</span>, <span class="hljs-string">&quot;corn&quot;</span>, <span class="hljs-string">&quot;pig&quot;</span>, <span class="hljs-string">&quot;crosswalk&quot;</span>, <span class="hljs-string">&quot;bump&quot;</span>]<br>    img = cv2.resize(img, dsize=(<span class="hljs-number">300</span>, <span class="hljs-number">300</span>), fx=<span class="hljs-number">1</span>, fy=<span class="hljs-number">1</span>, interpolation=cv2.INTER_LINEAR)<br>    <span class="hljs-keyword">if</span> <span class="hljs-built_in">len</span>(output_data) &gt; <span class="hljs-number">1</span>:<br>        <span class="hljs-keyword">for</span> data <span class="hljs-keyword">in</span> output_data:<br>            tmp = &#123;&#125;<br>            <span class="hljs-keyword">if</span> data[<span class="hljs-number">1</span>] &gt; <span class="hljs-number">0.9</span>:<br>                tmp[<span class="hljs-string">&#x27;type&#x27;</span>] = data[<span class="hljs-number">0</span>]<br>                tmp[<span class="hljs-string">&#x27;score&#x27;</span>] = data[<span class="hljs-number">1</span>]<br>                tmp[<span class="hljs-string">&#x27;x&#x27;</span>] = data[<span class="hljs-number">2</span>] * <span class="hljs-number">300</span><br>                tmp[<span class="hljs-string">&#x27;y&#x27;</span>] = data[<span class="hljs-number">3</span>] * <span class="hljs-number">300</span><br>                tmp[<span class="hljs-string">&#x27;width&#x27;</span>] = data[<span class="hljs-number">4</span>] * <span class="hljs-number">300</span> - tmp[<span class="hljs-string">&#x27;x&#x27;</span>]<br>                tmp[<span class="hljs-string">&#x27;height&#x27;</span>] = data[<span class="hljs-number">5</span>] * <span class="hljs-number">300</span> - tmp[<span class="hljs-string">&#x27;y&#x27;</span>]<br>                results.insert(i, tmp)<br>                <span class="hljs-comment"># print(tmp)</span><br>                i = i + <span class="hljs-number">1</span><br>        <span class="hljs-keyword">for</span> i <span class="hljs-keyword">in</span> results:<br>            x = <span class="hljs-built_in">int</span>(i[<span class="hljs-string">&#x27;x&#x27;</span>])<br>            xmax =  <span class="hljs-built_in">int</span>(i[<span class="hljs-string">&#x27;x&#x27;</span>] + i[<span class="hljs-string">&#x27;width&#x27;</span>])<br>            y = <span class="hljs-built_in">int</span>(i[<span class="hljs-string">&#x27;y&#x27;</span>])<br>            ymax = <span class="hljs-built_in">int</span>(i[<span class="hljs-string">&#x27;y&#x27;</span>] + i[<span class="hljs-string">&#x27;height&#x27;</span>])<br>            <span class="hljs-comment"># print((x, y), (xmax, ymax))</span><br>            cv2.rectangle(img, (x, y), (xmax, ymax), (<span class="hljs-number">0</span>, <span class="hljs-number">0</span>, <span class="hljs-number">255</span>), <span class="hljs-number">2</span>)<br>            <span class="hljs-comment"># cv2.rectangle(img, (x, ymax), (xmax, y), (255, 0, 0), 2)</span><br>            cv2.putText(img,<br>                        <span class="hljs-built_in">str</span>(label_list[<span class="hljs-built_in">int</span>(i[<span class="hljs-string">&#x27;type&#x27;</span>])]),<br>                        (<span class="hljs-built_in">int</span>(x), <span class="hljs-built_in">int</span>(y)),<br>                        cv2.FONT_HERSHEY_SIMPLEX,<br>                        <span class="hljs-number">0.75</span>,<br>                        (<span class="hljs-number">0</span>, <span class="hljs-built_in">int</span>(i[<span class="hljs-string">&#x27;type&#x27;</span>]) * <span class="hljs-number">30</span>, <span class="hljs-number">255</span>),<br>                        <span class="hljs-number">2</span>)<br>    img = cv2.resize(img, dsize=(<span class="hljs-number">320</span>, <span class="hljs-number">240</span>), fx=<span class="hljs-number">1</span>, fy=<span class="hljs-number">1</span>, interpolation=cv2.INTER_LINEAR)<br>    cv2.imshow(<span class="hljs-string">&#x27;src&#x27;</span>, img)<br>    cv2.waitKey(<span class="hljs-number">1</span>)<br><br><span class="hljs-comment"># 释放中间 Tensor</span><br>predictor.clear_intermediate_tensor()<br><br><span class="hljs-comment"># 释放内存池中的所有临时 Tensor</span><br>predictor.try_shrink_memory()<br></code></pre></td></tr></table></figure>
 <h2 id="xml文件解析（paddle官方数据标注格式下）">xml文件解析（paddle官方数据标注格式下）</h2>
-<figure class="highlight python"><table><tr><td class="code"><pre><code class="hljs python"><span class="hljs-keyword">import</span> xml.dom.minidom<br><br><span class="hljs-keyword">def</span> <span class="hljs-title function_">getXMLData</span>(<span class="hljs-params">xml_file</span>):<br>    <span class="hljs-comment"># 打开xml文档</span><br>    dom = xml.dom.minidom.parse(xml_file)<br><br>    <span class="hljs-comment"># 得到文档元素对象</span><br>    root = dom.documentElement<br><br>    filename = root.getElementsByTagName(<span class="hljs-string">&#x27;filename&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br><br>    <span class="hljs-comment"># object_num = root.getElementsByTagName(&#x27;object_num&#x27;)[0].firstChild.data</span><br><br>    <span class="hljs-built_in">object</span> = []<br>    <span class="hljs-keyword">for</span> i <span class="hljs-keyword">in</span> root.getElementsByTagName(<span class="hljs-string">&#x27;object&#x27;</span>):<br>        name = i.getElementsByTagName(<span class="hljs-string">&#x27;name&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        difficult = i.getElementsByTagName(<span class="hljs-string">&#x27;difficult&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        bndbox = i.getElementsByTagName(<span class="hljs-string">&#x27;bndbox&#x27;</span>)[<span class="hljs-number">0</span>]<br>        xmin = bndbox.getElementsByTagName(<span class="hljs-string">&#x27;xmin&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        ymin = bndbox.getElementsByTagName(<span class="hljs-string">&#x27;ymin&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        xmax = bndbox.getElementsByTagName(<span class="hljs-string">&#x27;xmax&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        ymax = bndbox.getElementsByTagName(<span class="hljs-string">&#x27;ymax&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br><br>        data = &#123;<span class="hljs-string">&#x27;name&#x27;</span>: name,<br>                <span class="hljs-string">&#x27;difficult&#x27;</span>: difficult,<br>                <span class="hljs-string">&#x27;xmin&#x27;</span>: xmin,<br>                <span class="hljs-string">&#x27;ymin&#x27;</span>: ymin,<br>                <span class="hljs-string">&#x27;xmax&#x27;</span>: xmax,<br>                <span class="hljs-string">&#x27;ymax&#x27;</span>: ymax&#125;<br><br>        <span class="hljs-built_in">object</span>.append(data)<br>    <span class="hljs-comment"># print(root.nodeName)</span><br>    <span class="hljs-comment"># print (filename)</span><br>    <span class="hljs-comment"># print(object)</span><br>    <span class="hljs-keyword">return</span> filename, <span class="hljs-built_in">object</span><br><br><br>data_path = <span class="hljs-string">&#x27;./Car2024/&#x27;</span><br>xml_file = data_path + <span class="hljs-string">&quot;/Annotations/block10.xml&quot;</span><br>filename, <span class="hljs-built_in">object</span> = getXMLData(xml_file)<br><span class="hljs-built_in">print</span>(<span class="hljs-built_in">len</span>(<span class="hljs-built_in">object</span>))<br></code></pre></td></tr></table></figure>
+<figure class="highlight python"><table><tr><td class="code"><pre><code class="hljs python"><span class="hljs-keyword">import</span> xml.dom.minidom<br><br><span class="hljs-keyword">def</span> <span class="hljs-title function_">getXMLData</span>(<span class="hljs-params">xml_file</span>):<br>    <span class="hljs-comment"># 打开xml文档</span><br>    dom = xml.dom.minidom.parse(xml_file)<br><br>    <span class="hljs-comment"># 得到文档元素对象</span><br>    root = dom.documentElement<br><br>    filename = root.getElementsByTagName(<span class="hljs-string">&#x27;filename&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br><br>    <span class="hljs-comment"># object_num = root.getElementsByTagName(&#x27;object_num&#x27;)[0].firstChild.data</span><br><br>    <span class="hljs-built_in">object</span> = []<br>    <span class="hljs-keyword">for</span> i <span class="hljs-keyword">in</span> root.getElementsByTagName(<span class="hljs-string">&#x27;object&#x27;</span>):<br>        name = i.getElementsByTagName(<span class="hljs-string">&#x27;name&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        <span class="hljs-comment"># difficult = i.getElementsByTagName(&#x27;difficult&#x27;)[0].firstChild.data</span><br>        bndbox = i.getElementsByTagName(<span class="hljs-string">&#x27;bndbox&#x27;</span>)[<span class="hljs-number">0</span>]<br>        xmin = bndbox.getElementsByTagName(<span class="hljs-string">&#x27;xmin&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        ymin = bndbox.getElementsByTagName(<span class="hljs-string">&#x27;ymin&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        xmax = bndbox.getElementsByTagName(<span class="hljs-string">&#x27;xmax&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br>        ymax = bndbox.getElementsByTagName(<span class="hljs-string">&#x27;ymax&#x27;</span>)[<span class="hljs-number">0</span>].firstChild.data<br><br>        data = &#123;<span class="hljs-string">&#x27;name&#x27;</span>: name,<br>                <span class="hljs-comment"># &#x27;difficult&#x27;: difficult,</span><br>                <span class="hljs-string">&#x27;xmin&#x27;</span>: xmin,<br>                <span class="hljs-string">&#x27;ymin&#x27;</span>: ymin,<br>                <span class="hljs-string">&#x27;xmax&#x27;</span>: xmax,<br>                <span class="hljs-string">&#x27;ymax&#x27;</span>: ymax&#125;<br><br>        <span class="hljs-built_in">object</span>.append(data)<br>    <span class="hljs-comment"># print(root.nodeName)</span><br>    <span class="hljs-comment"># print (filename)</span><br>    <span class="hljs-comment"># print(object)</span><br>    <span class="hljs-keyword">return</span> filename, <span class="hljs-built_in">object</span><br><br><span class="hljs-keyword">if</span> __name__ == <span class="hljs-string">&#x27;__main__&#x27;</span>:<br>    data_path = <span class="hljs-string">&#x27;./Car2024/&#x27;</span><br>    xml_file = data_path + <span class="hljs-string">&quot;/Annotations/block10.xml&quot;</span><br>    filename, <span class="hljs-built_in">object</span> = getXMLData(xml_file)<br>    <span class="hljs-built_in">print</span>(<span class="hljs-built_in">len</span>(<span class="hljs-built_in">object</span>))<br></code></pre></td></tr></table></figure>
 <h1>JAVA</h1>
 <h2 id="Pair-Key-Value">Pair&lt;Key, Value&gt;</h2>
 <figure class="highlight java"><table><tr><td class="code"><pre><code class="hljs java"><span class="hljs-keyword">package</span> util;<br><br><span class="hljs-keyword">public</span> <span class="hljs-keyword">final</span> <span class="hljs-keyword">class</span> <span class="hljs-title class_">Pair</span>&lt;K, V&gt; &#123;<br><br>    <span class="hljs-keyword">private</span> K key;<br>    <span class="hljs-keyword">private</span> V value;<br><br>    <span class="hljs-keyword">private</span> <span class="hljs-title function_">Pair</span><span class="hljs-params">(K key, V value)</span> &#123;<br>        <span class="hljs-built_in">this</span>.key = key;<br>        <span class="hljs-built_in">this</span>.value = value;<br>    &#125;<br><br>    <span class="hljs-keyword">public</span> <span class="hljs-keyword">static</span> &lt;K, V&gt; Pair&lt;K, V&gt; <span class="hljs-title function_">of</span><span class="hljs-params">(K key, V value)</span> &#123;<br>        <span class="hljs-keyword">return</span> <span class="hljs-keyword">new</span> <span class="hljs-title class_">Pair</span>&lt;&gt;(key, value);<br>    &#125;<br><br>    <span class="hljs-keyword">public</span> K <span class="hljs-title function_">getKey</span><span class="hljs-params">()</span> &#123;<br>        <span class="hljs-keyword">return</span> key;<br>    &#125;<br><br>    <span class="hljs-keyword">public</span> V <span class="hljs-title function_">getValue</span><span class="hljs-params">()</span> &#123;<br>        <span class="hljs-keyword">return</span> value;<br>    &#125;<br><br>    <span class="hljs-meta">@Override</span><br>    <span class="hljs-keyword">public</span> String <span class="hljs-title function_">toString</span><span class="hljs-params">()</span> &#123;<br>        <span class="hljs-keyword">if</span> (key == <span class="hljs-literal">null</span> &amp;&amp; value == <span class="hljs-literal">null</span>) <span class="hljs-keyword">return</span> <span class="hljs-string">&quot;&quot;</span>;<br>        <span class="hljs-keyword">if</span> (key == <span class="hljs-literal">null</span> &amp;&amp; value <span class="hljs-keyword">instanceof</span> String) <span class="hljs-keyword">return</span> value.toString();<br>        <span class="hljs-keyword">if</span> (value == <span class="hljs-literal">null</span> &amp;&amp; key <span class="hljs-keyword">instanceof</span> String) <span class="hljs-keyword">return</span> key.toString();<br>        <span class="hljs-keyword">if</span> (key == <span class="hljs-literal">null</span> || value == <span class="hljs-literal">null</span>) <span class="hljs-keyword">return</span> <span class="hljs-string">&quot;&quot;</span>;<br>        <span class="hljs-keyword">return</span> key.toString() + value.toString();<br>    &#125;<br><br>    <span class="hljs-keyword">public</span> <span class="hljs-type">boolean</span> <span class="hljs-title function_">equals</span><span class="hljs-params">(Pair&lt;K, V&gt; obj)</span> &#123;<br>        <span class="hljs-keyword">if</span> (obj == <span class="hljs-literal">null</span>) <span class="hljs-keyword">return</span> <span class="hljs-literal">false</span>;<br>        <span class="hljs-keyword">return</span> obj.getKey().equals(getKey()) &amp;&amp; obj.getValue().equals(getValue());<br>    &#125;<br>&#125;<br></code></pre></td></tr></table></figure>
diff --git "a/tags/AIR\345\256\236\351\252\214\345\256\244/index.html" "b/tags/AIR\345\256\236\351\252\214\345\256\244/index.html"
index b749de9a..551135c5 100644
--- "a/tags/AIR\345\256\236\351\252\214\345\256\244/index.html"
+++ "b/tags/AIR\345\256\236\351\252\214\345\256\244/index.html"
@@ -59,7 +59,7 @@
   isHome: false,
   isHighlightShrink: false,
   isToc: false,
-  postUpdate: '2024-02-01 17时19分48秒 17:19:48'
+  postUpdate: '2024-02-01 17时21分58秒 17:21:58'
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   #nav {
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@@ -182,4 +182,4 @@
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     detectApple()
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diff --git a/tags/HTML/index.html b/tags/HTML/index.html
index bf3b2e83..a10def3c 100644
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class="menus_item_child"><li><a class="site-page child" href="/tags/"><i class="fa-fw fas fa-tags"></i><span> 标签</span></a></li><li><a class="site-page child" href="/categories/"><i class="fa-fw fas fa-folder-open"></i><span> 分类</span></a></li><li><a class="site-page child" href="/archives/"><i class="fa-fw fas fa-archive"></i><span> 时间轴</span></a></li></ul></div><div class="menus_item"><a class="site-page" href="/about/"><i class="fa-fw fas fa-heart"></i><span> 关于</span></a></div><div class="menus_item"><a class="site-page" href="/message/"><i class="fa-fw fas fa-comment"></i><span> 留言板</span></a></div></div><div id="toggle-menu"><a class="site-page" href="javascript:void(0);"><i class="fas fa-bars fa-fw"></i></a></div></div></nav><div id="page-site-info"><h1 id="site-title">edgeboard-FZ3A</h1></div></header><main class="layout" id="content-inner"><div id="tag"><div class="article-sort-title">标签 - edgeboard-FZ3A</div><div class="article-sort"><div class="article-sort-item year">2023</div><div class="article-sort-item"><a class="article-sort-item-img" href="/posts/31267" title="edgeboardFZ3A相关问题"><img src="/img/cover/paddlepaddle.webp" alt="edgeboardFZ3A相关问题" onerror="this.onerror=null;this.src='/img/err_img404.jpg'"></a><div class="article-sort-item-info"><div class="article-sort-item-time"><i class="far fa-calendar-alt"></i><time class="post-meta-date-created" datetime="2023-06-09T06:03:48.000Z" title="发表于 2023-06-09 14时03分48秒 14:03:48">2023-06-09 14时03分48秒</time></div><a class="article-sort-item-title" href="/posts/31267" title="edgeboardFZ3A相关问题">edgeboardFZ3A相关问题</a></div></div></div><nav id="pagination"><div class="pagination"><span class="page-number current">1</span></div></nav></div><div class="aside-content" id="aside-content"><div class="card-widget card-info"><div class="is-center"><div class="avatar-img"><img src="https://cravatar.cn/avatar/6fa57e21db3ba5961f18a8ae75d0a081" onerror="this.onerror=null;this.src='/img/err_img404.gif'" 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102)">动态规划</a><a href="/tags/%E9%AB%98%E7%B2%BE%E5%BA%A6/" style="font-size: 1.15em; color: rgb(80, 4, 188)">高精度</a><a href="/tags/%E6%BB%9A%E5%8A%A8%E6%95%B0%E7%BB%84/" style="font-size: 1.15em; color: rgb(157, 140, 36)">滚动数组</a><a href="/tags/%E4%BC%98%E5%8C%96/" style="font-size: 1.15em; color: rgb(93, 62, 142)">优化</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.3em; color: rgb(183, 84, 68)">二叉树</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%90%9C%E7%B4%A2%E6%A0%91/" style="font-size: 1.15em; color: rgb(134, 78, 196)">二叉搜索树</a><a href="/tags/%E5%B9%B3%E8%A1%A1%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.15em; color: rgb(70, 2, 44)">平衡二叉树</a><a href="/tags/%E6%A0%88/" style="font-size: 1.15em; color: rgb(125, 48, 152)">栈</a><a href="/tags/stack/" style="font-size: 1.15em; color: rgb(48, 3, 85)">stack</a><a href="/tags/%E5%9B%BE/" style="font-size: 1.25em; color: rgb(169, 62, 23)">图</a><a href="/tags/AIR%E5%AE%9E%E9%AA%8C%E5%AE%A4/" style="font-size: 1.15em; color: 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year">2023</div><div class="article-sort-item"><a class="article-sort-item-img" href="/posts/31267" title="edgeboardFZ3A相关问题"><img src="/img/cover/paddlepaddle.webp" alt="edgeboardFZ3A相关问题" onerror="this.onerror=null;this.src='/img/err_img404.jpg'"></a><div class="article-sort-item-info"><div class="article-sort-item-time"><i class="far fa-calendar-alt"></i><time class="post-meta-date-created" datetime="2023-06-09T06:03:48.000Z" title="发表于 2023-06-09 14时03分48秒 14:03:48">2023-06-09 14时03分48秒</time></div><a class="article-sort-item-title" href="/posts/31267" title="edgeboardFZ3A相关问题">edgeboardFZ3A相关问题</a></div></div></div><nav id="pagination"><div class="pagination"><span class="page-number current">1</span></div></nav></div><div class="aside-content" id="aside-content"><div class="card-widget card-info"><div class="is-center"><div class="avatar-img"><img src="https://cravatar.cn/avatar/6fa57e21db3ba5961f18a8ae75d0a081" onerror="this.onerror=null;this.src='/img/err_img404.gif'" 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href="/tags/%E6%B7%B1%E5%BA%A6%E5%AD%A6%E4%B9%A0/" style="font-size: 1.25em; color: rgb(196, 93, 8)">深度学习</a><a href="/tags/Linux/" style="font-size: 1.15em; color: rgb(126, 15, 18)">Linux</a><a href="/tags/edgeboard-FZ3A/" style="font-size: 1.15em; color: rgb(77, 104, 94)">edgeboard-FZ3A</a><a href="/tags/Paddle/" style="font-size: 1.15em; color: rgb(199, 198, 107)">Paddle</a><a href="/tags/yolo/" style="font-size: 1.15em; color: rgb(87, 107, 167)">yolo</a><a href="/tags/tree/" style="font-size: 1.2em; color: rgb(12, 12, 89)">tree</a><a href="/tags/%E6%A0%91/" style="font-size: 1.35em; color: rgb(1, 70, 22)">树</a><a href="/tags/%E5%9B%9E%E6%BA%AF/" style="font-size: 1.2em; color: rgb(105, 68, 34)">回溯</a><a href="/tags/%E6%9E%9A%E4%B8%BE/" style="font-size: 1.15em; color: rgb(4, 18, 24)">枚举</a><a href="/tags/pta/" style="font-size: 1.2em; color: rgb(82, 44, 174)">pta</a><a href="/tags/%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92/" style="font-size: 1.2em; color: rgb(70, 70, 49)">动态规划</a><a 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diff --git a/tags/index.html b/tags/index.html
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@@ -184,7 +184,7 @@
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-    })(window)</script><link rel="stylesheet" href="/self/androidstudio.css"><meta name="generator" content="Hexo 6.3.0"></head><body><link rel="stylesheet" href="/npm/pace-js/themes/blue/pace-theme-minimal.min.css"/><script src="/npm/pace-js/pace.min.js"></script><div id="web_bg"></div><div id="sidebar"><div id="menu-mask"></div><div id="sidebar-menus"><div class="avatar-img is-center"><img src="https://cravatar.cn/avatar/6fa57e21db3ba5961f18a8ae75d0a081" onerror="onerror=null;src='/img/err_img404.gif'" alt="avatar"/></div><div class="sidebar-site-data site-data is-center"><a href="/archives/"><div class="headline">文章</div><div class="length-num">57</div></a><a href="/tags/"><div class="headline">标签</div><div class="length-num">37</div></a><a href="/categories/"><div class="headline">分类</div><div class="length-num">16</div></a></div><hr/><div class="menus_items"><div class="menus_item"><a class="site-page" href="/"><i class="fa-fw fas fa-home"></i><span> 首页</span></a></div><div class="menus_item"><a class="site-page" href="/links/"><i class="fa-fw fas fa-link"></i><span> 友链</span></a></div><div class="menus_item"><a class="site-page" href="/music/"><i class="fa-fw fas fa-music"></i><span> 音乐</span></a></div><div class="menus_item"><a class="site-page group" href="javascript:void(0);"><i class="fa-fw fas fa-list"></i><span> 清单</span><i class="fas fa-chevron-down"></i></a><ul class="menus_item_child"><li><a class="site-page child" href="/tags/"><i class="fa-fw fas fa-tags"></i><span> 标签</span></a></li><li><a class="site-page child" href="/categories/"><i class="fa-fw fas fa-folder-open"></i><span> 分类</span></a></li><li><a class="site-page child" href="/archives/"><i class="fa-fw fas fa-archive"></i><span> 时间轴</span></a></li></ul></div><div class="menus_item"><a class="site-page" href="/about/"><i class="fa-fw fas fa-heart"></i><span> 关于</span></a></div><div class="menus_item"><a class="site-page" href="/message/"><i class="fa-fw fas fa-comment"></i><span> 留言板</span></a></div></div></div></div><div class="page" id="body-wrap"><header class="not-home-page" id="page-header" style="background-image: url('/img/bg.jpg')"><nav id="nav"><span id="blog-info"><a href="/" title="洛屿的小站"><img class="site-icon" src="/img/drluoLogo.png"/></a></span><div id="menus"><div id="search-button"><a class="site-page social-icon search" href="javascript:void(0);"><i class="fas fa-search fa-fw"></i><span> 搜索</span></a></div><div class="menus_items"><div class="menus_item"><a class="site-page" href="/"><i class="fa-fw fas fa-home"></i><span> 首页</span></a></div><div class="menus_item"><a class="site-page" href="/links/"><i class="fa-fw fas fa-link"></i><span> 友链</span></a></div><div class="menus_item"><a class="site-page" href="/music/"><i class="fa-fw fas fa-music"></i><span> 音乐</span></a></div><div class="menus_item"><a class="site-page group" href="javascript:void(0);"><i class="fa-fw fas fa-list"></i><span> 清单</span><i class="fas fa-chevron-down"></i></a><ul class="menus_item_child"><li><a class="site-page child" href="/tags/"><i class="fa-fw fas fa-tags"></i><span> 标签</span></a></li><li><a class="site-page child" href="/categories/"><i class="fa-fw fas fa-folder-open"></i><span> 分类</span></a></li><li><a class="site-page child" href="/archives/"><i class="fa-fw fas fa-archive"></i><span> 时间轴</span></a></li></ul></div><div class="menus_item"><a class="site-page" href="/about/"><i class="fa-fw fas fa-heart"></i><span> 关于</span></a></div><div class="menus_item"><a class="site-page" href="/message/"><i class="fa-fw fas fa-comment"></i><span> 留言板</span></a></div></div><div id="toggle-menu"><a class="site-page" href="javascript:void(0);"><i class="fas fa-bars fa-fw"></i></a></div></div></nav><div id="page-site-info"><h1 id="site-title">标签</h1></div></header><main class="layout" id="content-inner"><div id="page"><div class="tag-cloud-list is-center"><a href="/tags/AIR%E5%AE%9E%E9%AA%8C%E5%AE%A4/" style="font-size: 1.2em; color: rgb(182, 23, 28)">AIR实验室</a><a href="/tags/C/" style="font-size: 2.1em; color: rgb(118, 65, 47)">C++</a><a href="/tags/C%E8%AF%AD%E8%A8%80/" style="font-size: 1.95em; color: rgb(166, 155, 29)">C语言</a><a href="/tags/C%E8%AF%AD%E8%A8%80%E8%80%83%E6%A0%B8/" style="font-size: 1.2em; color: rgb(33, 17, 95)">C语言考核</a><a href="/tags/HTML/" style="font-size: 1.2em; color: rgb(101, 66, 23)">HTML</a><a href="/tags/Java/" style="font-size: 1.2em; color: rgb(183, 39, 187)">Java</a><a href="/tags/JavaScript/" style="font-size: 1.2em; color: rgb(125, 16, 31)">JavaScript</a><a href="/tags/Linux/" style="font-size: 1.2em; color: rgb(99, 194, 150)">Linux</a><a href="/tags/NLP/" style="font-size: 1.2em; color: rgb(176, 103, 70)">NLP</a><a href="/tags/Paddle/" style="font-size: 1.2em; color: rgb(20, 51, 118)">Paddle</a><a href="/tags/PyTorch/" style="font-size: 1.2em; color: rgb(57, 38, 97)">PyTorch</a><a href="/tags/Python/" style="font-size: 1.8em; color: rgb(99, 118, 20)">Python</a><a href="/tags/STL/" style="font-size: 1.2em; color: rgb(154, 26, 31)">STL</a><a href="/tags/edgeboard-FZ3A/" style="font-size: 1.2em; color: rgb(176, 187, 199)">edgeboard-FZ3A</a><a href="/tags/gitee/" style="font-size: 1.2em; color: rgb(132, 92, 4)">gitee</a><a href="/tags/pta/" style="font-size: 1.35em; color: rgb(105, 50, 32)">pta</a><a href="/tags/stack/" style="font-size: 1.2em; color: rgb(30, 80, 187)">stack</a><a href="/tags/tree/" style="font-size: 1.35em; color: rgb(159, 161, 178)">tree</a><a href="/tags/yolo/" style="font-size: 1.2em; color: rgb(192, 25, 163)">yolo</a><a href="/tags/%E4%B8%8E%E6%88%91%E6%9C%89%E5%85%B3/" style="font-size: 1.2em; color: rgb(79, 165, 123)">与我有关</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%90%9C%E7%B4%A2%E6%A0%91/" style="font-size: 1.2em; color: rgb(140, 11, 105)">二叉搜索树</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.65em; color: rgb(16, 72, 58)">二叉树</a><a href="/tags/%E4%BC%98%E5%8C%96/" style="font-size: 1.2em; color: rgb(92, 92, 76)">优化</a><a href="/tags/%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92/" style="font-size: 1.35em; color: rgb(100, 185, 6)">动态规划</a><a href="/tags/%E5%9B%9E%E6%BA%AF/" style="font-size: 1.35em; color: rgb(77, 57, 14)">回溯</a><a href="/tags/%E5%9B%BE/" style="font-size: 1.5em; color: rgb(166, 34, 183)">图</a><a href="/tags/%E5%A4%B8%E7%88%B6%E8%AE%A1%E5%88%92/" style="font-size: 1.2em; color: rgb(161, 139, 107)">夸父计划</a><a href="/tags/%E5%B9%B3%E8%A1%A1%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.2em; color: rgb(44, 73, 8)">平衡二叉树</a><a href="/tags/%E6%9E%9A%E4%B8%BE/" style="font-size: 1.2em; color: rgb(100, 52, 0)">枚举</a><a href="/tags/%E6%A0%88/" style="font-size: 1.2em; color: rgb(24, 170, 152)">栈</a><a href="/tags/%E6%A0%91/" style="font-size: 1.8em; color: rgb(27, 6, 185)">树</a><a href="/tags/%E6%A0%BC%E5%BC%8F%E5%8C%96%E8%BE%93%E5%87%BA/" style="font-size: 1.2em; color: rgb(112, 36, 84)">格式化输出</a><a href="/tags/%E6%B4%9B%E8%B0%B7/" style="font-size: 1.2em; color: rgb(63, 36, 177)">洛谷</a><a href="/tags/%E6%B7%B1%E5%BA%A6%E5%AD%A6%E4%B9%A0/" style="font-size: 1.5em; color: rgb(89, 116, 99)">深度学习</a><a href="/tags/%E6%BB%9A%E5%8A%A8%E6%95%B0%E7%BB%84/" style="font-size: 1.2em; color: rgb(50, 36, 6)">滚动数组</a><a href="/tags/%E7%A5%9E%E7%BB%8F%E7%BD%91%E7%BB%9C/" style="font-size: 1.2em; color: rgb(112, 60, 193)">神经网络</a><a href="/tags/%E9%AB%98%E7%B2%BE%E5%BA%A6/" style="font-size: 1.2em; color: rgb(43, 147, 123)">高精度</a></div><hr/><div id="post-comment"><div class="comment-head"><div class="comment-headline"><i class="fas fa-comments fa-fw"></i><span> 评论</span></div></div><div class="comment-wrap"><div><div id="twikoo-wrap"></div></div></div></div></div><div class="aside-content" id="aside-content"><div class="card-widget card-info"><div class="is-center"><div class="avatar-img"><img src="https://cravatar.cn/avatar/6fa57e21db3ba5961f18a8ae75d0a081" onerror="this.onerror=null;this.src='/img/err_img404.gif'" alt="avatar"/></div><div class="author-info__name">drluo</div><div class="author-info__description"></div></div><div class="card-info-data site-data is-center"><a href="/archives/"><div class="headline">文章</div><div class="length-num">57</div></a><a href="/tags/"><div class="headline">标签</div><div class="length-num">37</div></a><a href="/categories/"><div class="headline">分类</div><div class="length-num">16</div></a></div><a id="card-info-btn" target="_blank" rel="noopener" href="https://github.com/luoy-oss"><i class="fab fa-github"></i><span>送上星星</span></a><div class="card-info-social-icons is-center"><a class="social-icon" href="https://github.com/luoy-oss" target="_blank" title="Github"><i class="fab fa-github"></i></a><a class="social-icon" href="mailto:wang2557657882@gmail.com" target="_blank" title="Email"><i class="fas fa-envelope"></i></a></div></div><div class="card-widget card-announcement"><div class="item-headline"><i class="fas fa-bullhorn fa-shake"></i><span>公告</span></div><div class="announcement_content">一二七七...唔</div></div><!--标签--><div class="card-widget card-tags"><div class="item-headline"><i class="fas fa-tags"></i><span>标签</span></div><div class="card-tag-cloud"><a href="/tags/PyTorch/" style="font-size: 1.15em; color: rgb(136, 188, 88)">PyTorch</a><a href="/tags/Python/" style="font-size: 1.35em; color: rgb(60, 126, 55)">Python</a><a href="/tags/NLP/" style="font-size: 1.15em; color: rgb(190, 47, 79)">NLP</a><a href="/tags/STL/" style="font-size: 1.15em; color: rgb(145, 46, 19)">STL</a><a href="/tags/%E6%A0%BC%E5%BC%8F%E5%8C%96%E8%BE%93%E5%87%BA/" style="font-size: 1.15em; color: rgb(27, 102, 6)">格式化输出</a><a href="/tags/C%E8%AF%AD%E8%A8%80/" style="font-size: 1.4em; color: rgb(40, 95, 80)">C语言</a><a href="/tags/C/" style="font-size: 1.45em; color: rgb(123, 62, 157)">C++</a><a href="/tags/%E6%B7%B1%E5%BA%A6%E5%AD%A6%E4%B9%A0/" style="font-size: 1.25em; color: rgb(67, 0, 41)">深度学习</a><a href="/tags/%E7%A5%9E%E7%BB%8F%E7%BD%91%E7%BB%9C/" style="font-size: 1.15em; color: rgb(40, 112, 58)">神经网络</a><a href="/tags/Linux/" style="font-size: 1.15em; color: rgb(88, 79, 186)">Linux</a><a href="/tags/edgeboard-FZ3A/" style="font-size: 1.15em; color: rgb(180, 140, 168)">edgeboard-FZ3A</a><a href="/tags/Paddle/" style="font-size: 1.15em; color: rgb(65, 35, 125)">Paddle</a><a href="/tags/yolo/" style="font-size: 1.15em; color: rgb(94, 193, 101)">yolo</a><a href="/tags/tree/" style="font-size: 1.2em; color: rgb(109, 167, 113)">tree</a><a href="/tags/%E6%A0%91/" style="font-size: 1.35em; color: rgb(30, 58, 112)">树</a><a href="/tags/%E5%9B%9E%E6%BA%AF/" style="font-size: 1.2em; color: rgb(163, 113, 91)">回溯</a><a href="/tags/%E6%9E%9A%E4%B8%BE/" style="font-size: 1.15em; color: rgb(173, 24, 200)">枚举</a><a href="/tags/pta/" style="font-size: 1.2em; color: rgb(18, 60, 104)">pta</a><a href="/tags/%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92/" style="font-size: 1.2em; color: rgb(90, 78, 102)">动态规划</a><a href="/tags/%E9%AB%98%E7%B2%BE%E5%BA%A6/" style="font-size: 1.15em; color: rgb(80, 4, 188)">高精度</a><a href="/tags/%E6%BB%9A%E5%8A%A8%E6%95%B0%E7%BB%84/" style="font-size: 1.15em; color: rgb(157, 140, 36)">滚动数组</a><a href="/tags/%E4%BC%98%E5%8C%96/" style="font-size: 1.15em; color: rgb(93, 62, 142)">优化</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.3em; color: rgb(183, 84, 68)">二叉树</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%90%9C%E7%B4%A2%E6%A0%91/" style="font-size: 1.15em; color: rgb(134, 78, 196)">二叉搜索树</a><a href="/tags/%E5%B9%B3%E8%A1%A1%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.15em; color: rgb(70, 2, 44)">平衡二叉树</a><a href="/tags/%E6%A0%88/" style="font-size: 1.15em; color: rgb(125, 48, 152)">栈</a><a href="/tags/stack/" style="font-size: 1.15em; color: rgb(48, 3, 85)">stack</a><a href="/tags/%E5%9B%BE/" style="font-size: 1.25em; color: rgb(169, 62, 23)">图</a><a href="/tags/AIR%E5%AE%9E%E9%AA%8C%E5%AE%A4/" style="font-size: 1.15em; color: rgb(47, 88, 28)">AIR实验室</a><a href="/tags/C%E8%AF%AD%E8%A8%80%E8%80%83%E6%A0%B8/" style="font-size: 1.15em; color: rgb(115, 80, 97)">C语言考核</a><a href="/tags/%E5%A4%B8%E7%88%B6%E8%AE%A1%E5%88%92/" style="font-size: 1.15em; color: rgb(146, 60, 62)">夸父计划</a><a href="/tags/%E4%B8%8E%E6%88%91%E6%9C%89%E5%85%B3/" style="font-size: 1.15em; color: rgb(162, 66, 95)">与我有关</a><a href="/tags/%E6%B4%9B%E8%B0%B7/" style="font-size: 1.15em; 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color: rgb(199, 198, 107)">Paddle</a><a href="/tags/yolo/" style="font-size: 1.15em; color: rgb(87, 107, 167)">yolo</a><a href="/tags/tree/" style="font-size: 1.2em; color: rgb(12, 12, 89)">tree</a><a href="/tags/%E6%A0%91/" style="font-size: 1.35em; color: rgb(1, 70, 22)">树</a><a href="/tags/%E5%9B%9E%E6%BA%AF/" style="font-size: 1.2em; color: rgb(105, 68, 34)">回溯</a><a href="/tags/%E6%9E%9A%E4%B8%BE/" style="font-size: 1.15em; color: rgb(4, 18, 24)">枚举</a><a href="/tags/pta/" style="font-size: 1.2em; color: rgb(82, 44, 174)">pta</a><a href="/tags/%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92/" style="font-size: 1.2em; color: rgb(70, 70, 49)">动态规划</a><a href="/tags/%E9%AB%98%E7%B2%BE%E5%BA%A6/" style="font-size: 1.15em; color: rgb(180, 77, 47)">高精度</a><a href="/tags/%E6%BB%9A%E5%8A%A8%E6%95%B0%E7%BB%84/" style="font-size: 1.15em; color: rgb(79, 42, 21)">滚动数组</a><a href="/tags/%E4%BC%98%E5%8C%96/" style="font-size: 1.15em; color: rgb(42, 165, 88)">优化</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.3em; color: rgb(27, 51, 79)">二叉树</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%90%9C%E7%B4%A2%E6%A0%91/" style="font-size: 1.15em; color: rgb(53, 198, 9)">二叉搜索树</a><a href="/tags/%E5%B9%B3%E8%A1%A1%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.15em; color: rgb(198, 24, 193)">平衡二叉树</a><a href="/tags/%E6%A0%88/" style="font-size: 1.15em; color: rgb(34, 7, 186)">栈</a><a href="/tags/%E5%9B%BE/" style="font-size: 1.25em; color: rgb(182, 70, 67)">图</a><a href="/tags/stack/" style="font-size: 1.15em; color: rgb(186, 121, 45)">stack</a><a href="/tags/%E5%A4%B8%E7%88%B6%E8%AE%A1%E5%88%92/" style="font-size: 1.15em; color: rgb(147, 115, 108)">夸父计划</a><a href="/tags/AIR%E5%AE%9E%E9%AA%8C%E5%AE%A4/" style="font-size: 1.15em; color: rgb(126, 155, 47)">AIR实验室</a><a href="/tags/C%E8%AF%AD%E8%A8%80%E8%80%83%E6%A0%B8/" style="font-size: 1.15em; color: rgb(11, 90, 196)">C语言考核</a><a href="/tags/%E4%B8%8E%E6%88%91%E6%9C%89%E5%85%B3/" style="font-size: 1.15em; color: rgb(53, 115, 170)">与我有关</a><a href="/tags/%E6%B4%9B%E8%B0%B7/" style="font-size: 1.15em; color: rgb(95, 7, 197)">洛谷</a><a href="/tags/gitee/" style="font-size: 1.15em; color: rgb(71, 19, 96)">gitee</a><a href="/tags/Java/" style="font-size: 1.15em; color: rgb(32, 60, 22)">Java</a><a href="/tags/HTML/" style="font-size: 1.15em; color: rgb(120, 38, 134)">HTML</a><a href="/tags/JavaScript/" style="font-size: 1.15em; color: rgb(12, 57, 196)">JavaScript</a></div></div><div class="sticky_layout"><!--最新文章--><!--!=partial('includes/widget/card_recent_post', {}, {cache: true})--><!----><!--最新文章--><!--分类--><!-- !=partial('includes/widget/card_categories', {}, {cache: true}) --><!--归档--><!-- !=partial('includes/widget/card_archives', {}, {cache: true})--><!--网站资讯 --><div class="card-widget card-webinfo"><div class="item-headline"><i class="fas fa-chart-line"></i><span>网站资讯</span></div><div class="webinfo"><div class="webinfo-item"><div class="item-name">文章数目 :</div><div class="item-count">57</div></div><div class="webinfo-item"><div class="item-name">网站运行时间 :</div><div class="item-count" id="runtimeshow" data-publishDate="2021-04-03T10:23:22.000Z"><i class="fa-solid fa-spinner fa-spin"></i></div></div><div class="webinfo-item"><div class="item-name">本站总字数 :</div><div class="item-count">82.8k</div></div><div class="webinfo-item"><div class="item-name">上次更新还是在 :</div><div class="item-count" id="last-push-date" data-lastPushDate="2024-02-01T09:21:58.214Z"><i class="fa-solid fa-spinner fa-spin"></i></div></div></div></div><!----></div></div></main><footer id="footer" style="background-image: url('/img/bg.jpg')"><div id="footer-wrap"><div class="copyright">&copy;2021 - 2024 By drluo</div><div class="framework-info"><span>框架 </span><a target="_blank" rel="noopener" href="https://hexo.io">Hexo</a><span class="footer-separator">|</span><span>主题 </span><a target="_blank" rel="noopener" href="https://github.com/jerryc127/hexo-theme-butterfly">Butterfly</a></div><div class="footer_custom_text">你好啊, 欢迎来到 <a target="_blank" rel="noopener" href="https://www.drluo.top/">洛屿的小站</a>!</div></div></footer></div><div id="rightside"><div id="rightside-config-hide"><button id="translateLink" type="button" title="简繁转换">繁</button><button id="darkmode" type="button" title="要试着换一下颜色模式吗？"><i class="fas fa-adjust"></i></button><button id="hide-aside-btn" type="button" title="我会变胖变瘦哦！"><i class="fas fa-arrows-alt-h"></i></button></div><div id="rightside-config-show"><button id="rightside_config" type="button" title="设置"><i class="fas fa-cog fa-spin"></i></button><a id="to_comment" href="#post-comment" title="直达评论"><i class="fas fa-comments"></i></a><button id="go-up" type="button" title="回到顶部"><span class="scroll-percent"></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src="/js/utils.js"></script><script src="/js/main.js"></script><script src="/js/tw_cn.js"></script><script src="/npm/@fancyapps/ui/dist/fancybox.umd.min.js"></script><script src="/npm/instant.page/instantpage.min.js" type="module"></script><div class="js-pjax"><script>if (!window.MathJax) {
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style="font-size: 1.15em; color: rgb(40, 112, 58)">神经网络</a><a href="/tags/Linux/" style="font-size: 1.15em; color: rgb(88, 79, 186)">Linux</a><a href="/tags/edgeboard-FZ3A/" style="font-size: 1.15em; color: rgb(180, 140, 168)">edgeboard-FZ3A</a><a href="/tags/Paddle/" style="font-size: 1.15em; color: rgb(65, 35, 125)">Paddle</a><a href="/tags/yolo/" style="font-size: 1.15em; color: rgb(94, 193, 101)">yolo</a><a href="/tags/tree/" style="font-size: 1.2em; color: rgb(109, 167, 113)">tree</a><a href="/tags/%E6%A0%91/" style="font-size: 1.35em; color: rgb(30, 58, 112)">树</a><a href="/tags/%E5%9B%9E%E6%BA%AF/" style="font-size: 1.2em; color: rgb(163, 113, 91)">回溯</a><a href="/tags/%E6%9E%9A%E4%B8%BE/" style="font-size: 1.15em; color: rgb(173, 24, 200)">枚举</a><a href="/tags/pta/" style="font-size: 1.2em; color: rgb(18, 60, 104)">pta</a><a href="/tags/%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92/" style="font-size: 1.2em; color: rgb(90, 78, 102)">动态规划</a><a href="/tags/%E9%AB%98%E7%B2%BE%E5%BA%A6/" style="font-size: 1.15em; color: rgb(80, 4, 188)">高精度</a><a href="/tags/%E6%BB%9A%E5%8A%A8%E6%95%B0%E7%BB%84/" style="font-size: 1.15em; color: rgb(157, 140, 36)">滚动数组</a><a href="/tags/%E4%BC%98%E5%8C%96/" style="font-size: 1.15em; color: rgb(93, 62, 142)">优化</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.3em; color: rgb(183, 84, 68)">二叉树</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%90%9C%E7%B4%A2%E6%A0%91/" style="font-size: 1.15em; color: rgb(134, 78, 196)">二叉搜索树</a><a href="/tags/%E5%B9%B3%E8%A1%A1%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.15em; color: rgb(70, 2, 44)">平衡二叉树</a><a href="/tags/%E6%A0%88/" style="font-size: 1.15em; color: rgb(125, 48, 152)">栈</a><a href="/tags/stack/" style="font-size: 1.15em; color: rgb(48, 3, 85)">stack</a><a href="/tags/%E5%9B%BE/" style="font-size: 1.25em; color: rgb(169, 62, 23)">图</a><a href="/tags/AIR%E5%AE%9E%E9%AA%8C%E5%AE%A4/" style="font-size: 1.15em; color: rgb(47, 88, 28)">AIR实验室</a><a 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1.15em; color: rgb(71, 19, 96)">gitee</a><a href="/tags/Java/" style="font-size: 1.15em; color: rgb(32, 60, 22)">Java</a><a href="/tags/HTML/" style="font-size: 1.15em; color: rgb(120, 38, 134)">HTML</a><a href="/tags/JavaScript/" style="font-size: 1.15em; color: rgb(12, 57, 196)">JavaScript</a></div></div><div class="sticky_layout"><!--最新文章--><!--!=partial('includes/widget/card_recent_post', {}, {cache: true})--><!----><!--最新文章--><!--分类--><!-- !=partial('includes/widget/card_categories', {}, {cache: true}) --><!--归档--><!-- !=partial('includes/widget/card_archives', {}, {cache: true})--><!--网站资讯 --><div class="card-widget card-webinfo"><div class="item-headline"><i class="fas fa-chart-line"></i><span>网站资讯</span></div><div class="webinfo"><div class="webinfo-item"><div class="item-name">文章数目 :</div><div class="item-count">57</div></div><div class="webinfo-item"><div class="item-name">网站运行时间 :</div><div class="item-count" id="runtimeshow" data-publishDate="2021-04-03T10:23:22.000Z"><i 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class="menus_item_child"><li><a class="site-page child" href="/tags/"><i class="fa-fw fas fa-tags"></i><span> 标签</span></a></li><li><a class="site-page child" href="/categories/"><i class="fa-fw fas fa-folder-open"></i><span> 分类</span></a></li><li><a class="site-page child" href="/archives/"><i class="fa-fw fas fa-archive"></i><span> 时间轴</span></a></li></ul></div><div class="menus_item"><a class="site-page" href="/about/"><i class="fa-fw fas fa-heart"></i><span> 关于</span></a></div><div class="menus_item"><a class="site-page" href="/message/"><i class="fa-fw fas fa-comment"></i><span> 留言板</span></a></div></div><div id="toggle-menu"><a class="site-page" href="javascript:void(0);"><i class="fas fa-bars fa-fw"></i></a></div></div></nav><div id="page-site-info"><h1 id="site-title">stack</h1></div></header><main class="layout" id="content-inner"><div id="tag"><div class="article-sort-title">标签 - stack</div><div class="article-sort"><div class="article-sort-item year">2023</div><div class="article-sort-item"><a class="article-sort-item-img" href="/posts/3817" title="大杂烩"><img src="/img/cover/fixed.webp" alt="大杂烩" onerror="this.onerror=null;this.src='/img/err_img404.jpg'"></a><div class="article-sort-item-info"><div class="article-sort-item-time"><i class="far fa-calendar-alt"></i><time class="post-meta-date-created" datetime="2023-02-14T06:28:32.000Z" title="发表于 2023-02-14 14时28分32秒 14:28:32">2023-02-14 14时28分32秒</time></div><a class="article-sort-item-title" href="/posts/3817" title="大杂烩">大杂烩</a></div></div></div><nav id="pagination"><div class="pagination"><span class="page-number current">1</span></div></nav></div><div class="aside-content" id="aside-content"><div class="card-widget card-info"><div class="is-center"><div class="avatar-img"><img src="https://cravatar.cn/avatar/6fa57e21db3ba5961f18a8ae75d0a081" onerror="this.onerror=null;this.src='/img/err_img404.gif'" alt="avatar"/></div><div class="author-info__name">drluo</div><div class="author-info__description"></div></div><div class="card-info-data site-data is-center"><a href="/archives/"><div class="headline">文章</div><div class="length-num">57</div></a><a href="/tags/"><div class="headline">标签</div><div class="length-num">37</div></a><a href="/categories/"><div class="headline">分类</div><div class="length-num">16</div></a></div><a id="card-info-btn" target="_blank" rel="noopener" href="https://github.com/luoy-oss"><i class="fab fa-github"></i><span>送上星星</span></a><div class="card-info-social-icons is-center"><a class="social-icon" href="https://github.com/luoy-oss" target="_blank" title="Github"><i class="fab fa-github"></i></a><a class="social-icon" href="mailto:wang2557657882@gmail.com" target="_blank" title="Email"><i class="fas fa-envelope"></i></a></div></div><div class="card-widget card-announcement"><div class="item-headline"><i class="fas fa-bullhorn fa-shake"></i><span>公告</span></div><div class="announcement_content">一二七七...唔</div></div><!--标签--><div class="card-widget card-tags"><div class="item-headline"><i class="fas fa-tags"></i><span>标签</span></div><div class="card-tag-cloud"><a href="/tags/PyTorch/" style="font-size: 1.15em; color: rgb(136, 188, 88)">PyTorch</a><a href="/tags/Python/" style="font-size: 1.35em; color: rgb(60, 126, 55)">Python</a><a href="/tags/NLP/" style="font-size: 1.15em; color: rgb(190, 47, 79)">NLP</a><a href="/tags/STL/" style="font-size: 1.15em; color: rgb(145, 46, 19)">STL</a><a href="/tags/%E6%A0%BC%E5%BC%8F%E5%8C%96%E8%BE%93%E5%87%BA/" style="font-size: 1.15em; color: rgb(27, 102, 6)">格式化输出</a><a href="/tags/C%E8%AF%AD%E8%A8%80/" style="font-size: 1.4em; color: rgb(40, 95, 80)">C语言</a><a href="/tags/C/" style="font-size: 1.45em; color: rgb(123, 62, 157)">C++</a><a href="/tags/%E6%B7%B1%E5%BA%A6%E5%AD%A6%E4%B9%A0/" style="font-size: 1.25em; color: rgb(67, 0, 41)">深度学习</a><a href="/tags/%E7%A5%9E%E7%BB%8F%E7%BD%91%E7%BB%9C/" style="font-size: 1.15em; color: rgb(40, 112, 58)">神经网络</a><a href="/tags/Linux/" style="font-size: 1.15em; color: rgb(88, 79, 186)">Linux</a><a href="/tags/edgeboard-FZ3A/" style="font-size: 1.15em; color: rgb(180, 140, 168)">edgeboard-FZ3A</a><a href="/tags/Paddle/" style="font-size: 1.15em; color: rgb(65, 35, 125)">Paddle</a><a href="/tags/yolo/" style="font-size: 1.15em; color: rgb(94, 193, 101)">yolo</a><a href="/tags/tree/" style="font-size: 1.2em; color: rgb(109, 167, 113)">tree</a><a href="/tags/%E6%A0%91/" style="font-size: 1.35em; color: rgb(30, 58, 112)">树</a><a href="/tags/%E5%9B%9E%E6%BA%AF/" style="font-size: 1.2em; color: rgb(163, 113, 91)">回溯</a><a href="/tags/%E6%9E%9A%E4%B8%BE/" style="font-size: 1.15em; color: rgb(173, 24, 200)">枚举</a><a href="/tags/pta/" style="font-size: 1.2em; color: rgb(18, 60, 104)">pta</a><a href="/tags/%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92/" style="font-size: 1.2em; color: rgb(90, 78, 102)">动态规划</a><a href="/tags/%E9%AB%98%E7%B2%BE%E5%BA%A6/" style="font-size: 1.15em; color: rgb(80, 4, 188)">高精度</a><a href="/tags/%E6%BB%9A%E5%8A%A8%E6%95%B0%E7%BB%84/" style="font-size: 1.15em; color: rgb(157, 140, 36)">滚动数组</a><a href="/tags/%E4%BC%98%E5%8C%96/" style="font-size: 1.15em; color: rgb(93, 62, 142)">优化</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.3em; color: rgb(183, 84, 68)">二叉树</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%90%9C%E7%B4%A2%E6%A0%91/" style="font-size: 1.15em; color: rgb(134, 78, 196)">二叉搜索树</a><a href="/tags/%E5%B9%B3%E8%A1%A1%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.15em; color: rgb(70, 2, 44)">平衡二叉树</a><a href="/tags/%E6%A0%88/" style="font-size: 1.15em; color: rgb(125, 48, 152)">栈</a><a href="/tags/stack/" style="font-size: 1.15em; color: rgb(48, 3, 85)">stack</a><a href="/tags/%E5%9B%BE/" style="font-size: 1.25em; color: rgb(169, 62, 23)">图</a><a href="/tags/AIR%E5%AE%9E%E9%AA%8C%E5%AE%A4/" style="font-size: 1.15em; color: rgb(47, 88, 28)">AIR实验室</a><a href="/tags/C%E8%AF%AD%E8%A8%80%E8%80%83%E6%A0%B8/" style="font-size: 1.15em; color: rgb(115, 80, 97)">C语言考核</a><a href="/tags/%E5%A4%B8%E7%88%B6%E8%AE%A1%E5%88%92/" style="font-size: 1.15em; color: rgb(146, 60, 62)">夸父计划</a><a href="/tags/%E4%B8%8E%E6%88%91%E6%9C%89%E5%85%B3/" style="font-size: 1.15em; color: rgb(162, 66, 95)">与我有关</a><a href="/tags/%E6%B4%9B%E8%B0%B7/" style="font-size: 1.15em; color: rgb(85, 16, 133)">洛谷</a><a href="/tags/gitee/" style="font-size: 1.15em; color: rgb(65, 137, 74)">gitee</a><a href="/tags/Java/" style="font-size: 1.15em; color: rgb(194, 194, 10)">Java</a><a href="/tags/HTML/" style="font-size: 1.15em; color: rgb(180, 155, 30)">HTML</a><a href="/tags/JavaScript/" style="font-size: 1.15em; color: rgb(68, 37, 117)">JavaScript</a></div></div><div class="sticky_layout"><!--最新文章--><!--!=partial('includes/widget/card_recent_post', {}, {cache: true})--><!----><!--最新文章--><!--分类--><!-- !=partial('includes/widget/card_categories', {}, {cache: true}) 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style="font-size: 1.15em; color: rgb(180, 77, 47)">高精度</a><a href="/tags/%E6%BB%9A%E5%8A%A8%E6%95%B0%E7%BB%84/" style="font-size: 1.15em; color: rgb(79, 42, 21)">滚动数组</a><a href="/tags/%E4%BC%98%E5%8C%96/" style="font-size: 1.15em; color: rgb(42, 165, 88)">优化</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.3em; color: rgb(27, 51, 79)">二叉树</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%90%9C%E7%B4%A2%E6%A0%91/" style="font-size: 1.15em; color: rgb(53, 198, 9)">二叉搜索树</a><a href="/tags/%E5%B9%B3%E8%A1%A1%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.15em; color: rgb(198, 24, 193)">平衡二叉树</a><a href="/tags/%E6%A0%88/" style="font-size: 1.15em; color: rgb(34, 7, 186)">栈</a><a href="/tags/%E5%9B%BE/" style="font-size: 1.25em; color: rgb(182, 70, 67)">图</a><a href="/tags/stack/" style="font-size: 1.15em; color: rgb(186, 121, 45)">stack</a><a href="/tags/%E5%A4%B8%E7%88%B6%E8%AE%A1%E5%88%92/" style="font-size: 1.15em; color: rgb(147, 115, 108)">夸父计划</a><a 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style="font-size: 1.25em; color: rgb(196, 93, 8)">深度学习</a><a href="/tags/Linux/" style="font-size: 1.15em; color: rgb(126, 15, 18)">Linux</a><a href="/tags/edgeboard-FZ3A/" style="font-size: 1.15em; color: rgb(77, 104, 94)">edgeboard-FZ3A</a><a href="/tags/Paddle/" style="font-size: 1.15em; color: rgb(199, 198, 107)">Paddle</a><a href="/tags/yolo/" style="font-size: 1.15em; color: rgb(87, 107, 167)">yolo</a><a href="/tags/tree/" style="font-size: 1.2em; color: rgb(12, 12, 89)">tree</a><a href="/tags/%E6%A0%91/" style="font-size: 1.35em; color: rgb(1, 70, 22)">树</a><a href="/tags/%E5%9B%9E%E6%BA%AF/" style="font-size: 1.2em; color: rgb(105, 68, 34)">回溯</a><a href="/tags/%E6%9E%9A%E4%B8%BE/" style="font-size: 1.15em; color: rgb(4, 18, 24)">枚举</a><a href="/tags/pta/" style="font-size: 1.2em; color: rgb(82, 44, 174)">pta</a><a href="/tags/%E5%8A%A8%E6%80%81%E8%A7%84%E5%88%92/" style="font-size: 1.2em; color: rgb(70, 70, 49)">动态规划</a><a href="/tags/%E9%AB%98%E7%B2%BE%E5%BA%A6/" 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href="/tags/AIR%E5%AE%9E%E9%AA%8C%E5%AE%A4/" style="font-size: 1.15em; color: rgb(126, 155, 47)">AIR实验室</a><a href="/tags/C%E8%AF%AD%E8%A8%80%E8%80%83%E6%A0%B8/" style="font-size: 1.15em; color: rgb(11, 90, 196)">C语言考核</a><a href="/tags/%E4%B8%8E%E6%88%91%E6%9C%89%E5%85%B3/" style="font-size: 1.15em; color: rgb(53, 115, 170)">与我有关</a><a href="/tags/%E6%B4%9B%E8%B0%B7/" style="font-size: 1.15em; color: rgb(95, 7, 197)">洛谷</a><a href="/tags/gitee/" style="font-size: 1.15em; color: rgb(71, 19, 96)">gitee</a><a href="/tags/Java/" style="font-size: 1.15em; color: rgb(32, 60, 22)">Java</a><a href="/tags/HTML/" style="font-size: 1.15em; color: rgb(120, 38, 134)">HTML</a><a href="/tags/JavaScript/" style="font-size: 1.15em; color: rgb(12, 57, 196)">JavaScript</a></div></div><div class="sticky_layout"><!--最新文章--><!--!=partial('includes/widget/card_recent_post', {}, {cache: true})--><!----><!--最新文章--><!--分类--><!-- !=partial('includes/widget/card_categories', {}, {cache: true}) --><!--归档--><!-- 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diff --git "a/tags/\344\272\214\345\217\211\346\240\221/index.html" "b/tags/\344\272\214\345\217\211\346\240\221/index.html"
index df157199..9fd2498a 100644
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+  postUpdate: '2024-02-01 17时21分58秒 17:21:58'
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@@ -182,4 +182,4 @@
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rgb(47, 88, 28)">AIR实验室</a><a href="/tags/C%E8%AF%AD%E8%A8%80%E8%80%83%E6%A0%B8/" style="font-size: 1.15em; color: rgb(115, 80, 97)">C语言考核</a><a href="/tags/%E5%A4%B8%E7%88%B6%E8%AE%A1%E5%88%92/" style="font-size: 1.15em; color: rgb(146, 60, 62)">夸父计划</a><a href="/tags/%E4%B8%8E%E6%88%91%E6%9C%89%E5%85%B3/" style="font-size: 1.15em; color: rgb(162, 66, 95)">与我有关</a><a href="/tags/%E6%B4%9B%E8%B0%B7/" style="font-size: 1.15em; color: rgb(85, 16, 133)">洛谷</a><a href="/tags/gitee/" style="font-size: 1.15em; color: rgb(65, 137, 74)">gitee</a><a href="/tags/Java/" style="font-size: 1.15em; color: rgb(194, 194, 10)">Java</a><a href="/tags/HTML/" style="font-size: 1.15em; color: rgb(180, 155, 30)">HTML</a><a href="/tags/JavaScript/" style="font-size: 1.15em; color: rgb(68, 37, 117)">JavaScript</a></div></div><div class="sticky_layout"><!--最新文章--><!--!=partial('includes/widget/card_recent_post', {}, {cache: true})--><!----><!--最新文章--><!--分类--><!-- !=partial('includes/widget/card_categories', 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115, 108)">夸父计划</a><a href="/tags/AIR%E5%AE%9E%E9%AA%8C%E5%AE%A4/" style="font-size: 1.15em; color: rgb(126, 155, 47)">AIR实验室</a><a href="/tags/C%E8%AF%AD%E8%A8%80%E8%80%83%E6%A0%B8/" style="font-size: 1.15em; color: rgb(11, 90, 196)">C语言考核</a><a href="/tags/%E4%B8%8E%E6%88%91%E6%9C%89%E5%85%B3/" style="font-size: 1.15em; color: rgb(53, 115, 170)">与我有关</a><a href="/tags/%E6%B4%9B%E8%B0%B7/" style="font-size: 1.15em; color: rgb(95, 7, 197)">洛谷</a><a href="/tags/gitee/" style="font-size: 1.15em; color: rgb(71, 19, 96)">gitee</a><a href="/tags/Java/" style="font-size: 1.15em; color: rgb(32, 60, 22)">Java</a><a href="/tags/HTML/" style="font-size: 1.15em; color: rgb(120, 38, 134)">HTML</a><a href="/tags/JavaScript/" style="font-size: 1.15em; color: rgb(12, 57, 196)">JavaScript</a></div></div><div class="sticky_layout"><!--最新文章--><!--!=partial('includes/widget/card_recent_post', {}, {cache: true})--><!----><!--最新文章--><!--分类--><!-- !=partial('includes/widget/card_categories', {}, {cache: 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class="author-info__name">drluo</div><div class="author-info__description"></div></div><div class="card-info-data site-data is-center"><a href="/archives/"><div class="headline">文章</div><div class="length-num">57</div></a><a href="/tags/"><div class="headline">标签</div><div class="length-num">37</div></a><a href="/categories/"><div class="headline">分类</div><div class="length-num">16</div></a></div><a id="card-info-btn" target="_blank" rel="noopener" href="https://github.com/luoy-oss"><i class="fab fa-github"></i><span>送上星星</span></a><div class="card-info-social-icons is-center"><a class="social-icon" href="https://github.com/luoy-oss" target="_blank" title="Github"><i class="fab fa-github"></i></a><a class="social-icon" href="mailto:wang2557657882@gmail.com" target="_blank" title="Email"><i class="fas fa-envelope"></i></a></div></div><div class="card-widget card-announcement"><div class="item-headline"><i class="fas fa-bullhorn fa-shake"></i><span>公告</span></div><div 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style="font-size: 1.15em; color: rgb(80, 4, 188)">高精度</a><a href="/tags/%E6%BB%9A%E5%8A%A8%E6%95%B0%E7%BB%84/" style="font-size: 1.15em; color: rgb(157, 140, 36)">滚动数组</a><a href="/tags/%E4%BC%98%E5%8C%96/" style="font-size: 1.15em; color: rgb(93, 62, 142)">优化</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.3em; color: rgb(183, 84, 68)">二叉树</a><a href="/tags/%E4%BA%8C%E5%8F%89%E6%90%9C%E7%B4%A2%E6%A0%91/" style="font-size: 1.15em; color: rgb(134, 78, 196)">二叉搜索树</a><a href="/tags/%E5%B9%B3%E8%A1%A1%E4%BA%8C%E5%8F%89%E6%A0%91/" style="font-size: 1.15em; color: rgb(70, 2, 44)">平衡二叉树</a><a href="/tags/%E6%A0%88/" style="font-size: 1.15em; color: rgb(125, 48, 152)">栈</a><a href="/tags/stack/" style="font-size: 1.15em; color: rgb(48, 3, 85)">stack</a><a href="/tags/%E5%9B%BE/" style="font-size: 1.25em; color: rgb(169, 62, 23)">图</a><a href="/tags/AIR%E5%AE%9E%E9%AA%8C%E5%AE%A4/" style="font-size: 1.15em; color: rgb(47, 88, 28)">AIR实验室</a><a href="/tags/C%E8%AF%AD%E8%A8%80%E8%80%83%E6%A0%B8/" style="font-size: 1.15em; color: rgb(115, 80, 97)">C语言考核</a><a href="/tags/%E5%A4%B8%E7%88%B6%E8%AE%A1%E5%88%92/" style="font-size: 1.15em; color: rgb(146, 60, 62)">夸父计划</a><a href="/tags/%E4%B8%8E%E6%88%91%E6%9C%89%E5%85%B3/" style="font-size: 1.15em; color: rgb(162, 66, 95)">与我有关</a><a href="/tags/%E6%B4%9B%E8%B0%B7/" style="font-size: 1.15em; color: rgb(85, 16, 133)">洛谷</a><a href="/tags/gitee/" style="font-size: 1.15em; color: rgb(65, 137, 74)">gitee</a><a href="/tags/Java/" style="font-size: 1.15em; color: rgb(194, 194, 10)">Java</a><a href="/tags/HTML/" style="font-size: 1.15em; color: rgb(180, 155, 30)">HTML</a><a href="/tags/JavaScript/" style="font-size: 1.15em; color: rgb(68, 37, 117)">JavaScript</a></div></div><div class="sticky_layout"><!--最新文章--><!--!=partial('includes/widget/card_recent_post', {}, {cache: true})--><!----><!--最新文章--><!--分类--><!-- !=partial('includes/widget/card_categories', {}, {cache: true}) 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index 25e72f01..e88f29d5 100644
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