Kaggle-NDSB-2-MXNet-R (3).ipynb

{
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   "source": [
    "# Transforming How We Diagnose Heart Disease\n",
    "\n",
    "\n",
    "Cardiovascular disease, also commonly referred to as heart disease, takes on many forms - heart attacks, stroke, heart failure and arrhythmia - to name a few.  According to a report published on behalf of the American Heart Association, 610,000 Americans die each year from heart disease.\n",
    "\n",
    "Booz | Allen | Hamilton and Kaggle offered the [2015 Data Science Bowl](https://www.kaggle.com/c/second-annual-data-science-bowl) as an opportunity for data scientist to help automate the diagnosis of heart disease through a competition.  Part of the initial overview of the challenge included the following image identifying some of the metrics used for determining heart disease.\n",
    "\n",
    "![alt text](img/fig2.jpg \"Only One Unit of Time That Matters\")\n",
    "\n",
    "End-systolic and end-diastolic volumes yield the ejection fraction (EF) noted above in the image and represented below in the formula where $V_S$ denotes the volumes at systole and $V_D$ denotes the volumes at diastole.  Volumes and EF can be used as an indication of the presence of heart disease.\n",
    "\n",
    "$$100\\cdot\\frac{V_D-V_S}{V_D}$$  \n",
    "\n",
    "In addition, Magnetic Resonance Imaging (MRI) correctly assess the heart's squeezing ability.  However, evaluation of MRIs is a manual, time consuming process - deep neural networks can automate this process.  Variations in anatomy, function, image quality, and acquisition make automated quantification of left ventricle size a challenging problem. You will encounter this variation in the competition dataset, which aims to provide a diverse representation of cases. \n",
    "\n",
    "<img src=\"img/fig8.png\" alt=\"Manual determination of ejection fraction\" style=\"width: 700px;\"/>\n",
    "<p style=\"text-align: center;\">*C.M.S Nambakhsh et al., Medical Image Analysis 17(2013) 1010-1024*</p>\n",
    "\n",
    "\n",
    "## The Dataset\n",
    "The National Heart, Lung, and Blood Institute (NHLBI) provided the MRI images for the Data Science Bowl. The [dataset](https://www.kaggle.com/c/second-annual-data-science-bowl/data) consists of hundreds of cardiac MRI images in [DICOM](https://en.wikipedia.org/wiki/DICOM) format. These 2D cine images contain approximately 30 images across the cardiac cycle. Each slice is acquired on a separate breath hold. This is important since the registration from slice to slice is expected to be imperfect.\n",
    "\n",
    "\n",
    "<img src=\"img/fig3.gif\" alt=\"MRI imaging of heartbeat\" style=\"width: 500px;\"/>\n",
    "\n",
    "The dataset contains patients from young to old, images from numerous hospitals, and hearts from normal to abnormal cardiac function. A computational method which is robust to these variations could both validate and automate the cardiologists' manual measurement of ejection fraction.  Each case has an associated directory of DICOM files. The exact number of images will differ from case to case, either varying in the number of slices, the views which are captured, or the number of frames in the time sequences.\n",
    "\n",
    "The main view for assessing ventricle size is the short axis stack (PSAX), which contains images taken in a plane perpendicular to the long axis (PLAX) of the left ventricle: \n",
    "\n",
    "<img src=\"img/fig6.png\" alt=\"PSAX diagram\" style=\"width: 250px;\"/>\n",
    "<p style=\"text-align: center;\">*image credit: fpnotebook.com*</p>\n",
    "\n",
    "These have the prefix \"sax_\" in the dataset. Most cases also have alternative views."
   ]
  },
  {
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   "metadata": {},
   "source": [
    "## Evaluation\n",
    "Performance is evaluated using the Continuous Ranked Probability Score (CRPS). For each MRI, a cumulative probability distribution is predicted for both the systolic and diastolic volumes (two separate distributions per case). The CRPS is computed as follows:\n",
    "\n",
    "$$CRPS = \\frac{1}{600\\cdot N}\\sum_{m=1}^{N}\\sum_{n=0}^{599} (P(y\\le n)-H(n-V_{m}))^2$$\n",
    "\n",
    "where $P$ is the predicted distribution, $N$ is the number of rows in the test set (equal to twice the number of cases), $V$ is the actual volume (in mL) and $H(x)$ is the Heaviside step function ($H(x\\lt0)=0$ and $H(x\\ge 0)=1$).  While it is not simple to visualize the CRPS, the shaded area on the figure below may be a helpful guide for understanding the error term between the predicted distribution and actual volume:\n",
    "<img src=\"img/fig4.png\" alt=\"CRPS error between predicted and actual volume\" style=\"width: 500px;\"/>\n",
    "Note that the entry will not score if any of the predicted values has $P(y \\le k) > P(y \\le k+1)$ for any $k$.  That is the CDF is non-decreasing."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# End-to-End Deep Learning for NDSB-II\n",
    "\n",
    "In this example, we will show how to use GPU accelerated MXNet library to build an end-to-end deep learning system to help diagnose heart disease.  Keep in mind, this is a very simple model without any network structure optimizations or hyper parameter tuning.  However, it is possible to build fantastic networks based on the example solution.\n",
    "\n",
    "### About MXNet\n",
    "[MXNet](https://github.com/dmlc/mxnet) is a deep learning framework designed for both efficiency and flexibility by DMLC group. MXNet will fully utilize all the resources to solve the problem under limited resource constraint, with a flexible programming interface. You can use it for all purposes of data science and deep learning tasks with R, Julia, Python and more. To run on multiple GPU with huge network, or questions about saving network parameters etc, please refer [MXNet docs](https://mxnet.readthedocs.org/en/latest/)\n",
    "\n",
    "## General Overview of Model\n",
    "### Input Data\n",
    "The dataset itself contains 500 training studies with on average 10 unique SAX observation at various points along the the PLAX of the left ventricle.  That’s roughly 5000 observations in total.  Each of these SAX observation usually contain 30 DICOM images (“frames”) in a time sequence which captures an entire heartbeat (expansion and contraction).   The idea here is to pack each of the 30 image frames of an observation into a 64x64x30 tensor.  While this might sound complicated, just think of stacking playing cards to form a deck.  Each card has the same rectangular dimensions (say, 120x90) and then cards are stacked one on top of the other to form a deck.  It’s the same thing here.  We’re going to take each of the 30 square image frames of 64x64 pixels and stack them one-by-one to form an input “deck” to the deep neural network.  The only difference with the card deck analogy is that the image frames are organized in time so that the video clip of the heartbeat is not all garbled.  This tutorial is based on this simple idea: we first accumulate all suitable observations having 30 frames, then feed to the deep neural network to learn the target directly.\n",
    "\n",
    "The label data set contains only 500 labels. That is, each of the roughly 10 SAX observation for a particular study get the same diastole and systole volume.  Again, each SAX observation of a study is just a different view of the same heart (i.e. a single heartbeat as measured from different cross sections perpendicular to the long axis of the heart).  Therefore, in the data preprocessing step, each label must be duplicated for each unique observation.\n",
    "\n",
    "Additionally, the same 64x64x30 deck of images is used to predict both systole and diastole volumes.  Therefore, we’re going to build a network that ingests each observation tensor to predict systole volume.  Then a separate network that ingests that same image deck to predict diastole volume.\n",
    "\n",
    "Another idea used in this tutorial is taking a frame-by-frame difference to measure change per frame (in time).  By using MXNet symbolic interface, we can dynamically difference the input inside of the network. It helps a little in the final result.\n",
    "\n",
    "### Network Objective\n",
    "For the network, we use the well documented LeNet style convolution network with batch normalization and dropout. This is a basic network with a generic configuration.  In this challenge, we are asked to predict a CDF value of 600 data-point. Therefore the problem is formulated as a regression problem. We ask the neural-net that given a stack of images 64x64x30 to output 600x1 vector - one predicted value for each of the 600 points in the CDF.  Note here that the label is just a single floating point value like 83.3 (mL).  This label is transformed into a step function having 600 discrete values where all the y-values of the CDF with x less than 83 are 0 and all y-values with x greater than 83 are 1.\n",
    "\n",
    "\n",
    "### Preprocessing\n",
    "We first run a preprocessing step, to pack the data into a csv file (```train-64x64-data.csv```).  Each line of this csv file corresponds to a 64 x 64 x 30 tensor, which gives 30 frames of images. We can also use other inputs besides csv. The CSV is used here since this format is common for all languages and is easy to parse.\n",
    "\n",
    "The input dataset is quite big (5293 observations of size 64x64x30). While this data set can likely fit into memory of a big machine, we want to be safe, so we will use the ```CSVIter``` from ```mxnet``` to load data from disk on-the-fly during training, without loading all the data into memory at once.\n",
    "\n",
    "The labels for the training data are stored in ```train-systole.csv``` and ```train-diastole.csv``` where each line is a step function of 0s and 1s as described above. Line ```i``` in the training CSV data file is label by the associated line ```i``` in the label CSV files.  Again, when training the systole network we will use labels from ```train-systole.csv``` and likewise when training the diastole network we will use labels from ```train-diastole.csv```.\n",
    "\n",
    "\n"
   ]
  },
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   "source": [
    "## Code"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we load the necessary libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: mxnet\n",
      "Loading required package: data.table\n",
      "Loading required package: ggplot2\n"
     ]
    }
   ],
   "source": [
    "# import libraries\n",
    "require(mxnet)\n",
    "require(data.table)\n",
    "require(ggplot2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
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   "outputs": [],
   "source": []
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  {
   "cell_type": "code",
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  {
   "cell_type": "code",
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    "Next we define a function that will architect (not trained yet) neural networks.  This network is a classic network that has it's origins from Yann LeCun's paper many years ago and hence has the nastalgic name \"LeNet\".  \n",
    "\n",
    "Notice here that we create a variable using ```mx.symbol.Variable``` which *represents* the input data.  Just like regular variables we can manipulate the ```source``` variable.  For example, the first thing we do to the image data input is to normalize the pixel values. Next we utilize ```mx.symbol.SliceChannel``` so that we can actually access each individual frame of the input.  Recall that the input is 64x64x30 so that each indexed frame is of size 64x64. The purpose of using the frames is so that differences between successive frames can be calculated. That is, instead of training the network parameters using the images directly, the network is trained on the differences between each successive frame.  This is pretty cool since we can actually manipulate the data within the network definition rather than having to preprocess the whole dataset when we want to experiment with a new idea.  Once each frame delta has been computed the individual frames are put back into a 64x64x29 tensor input using ```mxnet:::mx.varg.symbol.Concat```.  Since we've taken successive deltas we actually only have 29 total deltas now!  \n",
    "\n",
    "From here we just chain various layers together, such as ```mx.symbol.Convolution```, to form the network described in LeCun's paper.  There is no magic here.  Feel free to add layers in between or remove layers etc.  That's part of the fun of working with DL; various recipies have been described in papers over the years but you're free to construct anything you'd like.  Play with the network structure to get a feel for how training performance changes. \n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
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   "source": [
    "# Create LeNet style network\n",
    "get.lenet <- function() {\n",
    "    \n",
    "    # create data variable (i.e. symbol)\n",
    "    source <- mx.symbol.Variable(\"data\")\n",
    "    \n",
    "    # normalize values of input data \n",
    "    source <- (source-128) / 128\n",
    "    \n",
    "    # SliceChannel is a symbol that can be indexed just like an array\n",
    "    frames <- mx.symbol.SliceChannel(source, num.outputs = 30);\n",
    "    \n",
    "    # init list of differences\n",
    "    diffs <- list()\n",
    "  \n",
    "    # compute differences for each \"frame\"\n",
    "    for (i in 1:29) {\n",
    "        diffs <- c(diffs, frames[[i + 1]] - frames[[i]])\n",
    "    }\n",
    "  \n",
    "    # set the property for number of arugments in diffs variable\n",
    "    diffs$num.args = 29\n",
    "    \n",
    "    # concatonate frame variables into single variable\n",
    "    source <- mxnet:::mx.varg.symbol.Concat(diffs)\n",
    "    \n",
    "    # convolution layer with 5x5 kernel dimention\n",
    "    net <- mx.symbol.Convolution(source, kernel = c(5, 5), num.filter = 40)\n",
    "    \n",
    "    # normalization layer: simply subtract mean divide by std\n",
    "    net <- mx.symbol.BatchNorm(net, fix.gamma = TRUE)\n",
    "    \n",
    "    # activation layer using Rectified Linear Unit (relu) activation function\n",
    "    net <- mx.symbol.Activation(net, act.type = \"relu\")\n",
    "    \n",
    "    # Max pooling layer with a 2x2 kernel and no overlap since stride is 2x2\n",
    "    net <- mx.symbol.Pooling(net, pool.type = \"max\", kernel = c(2, 2), stride = c(2, 2))\n",
    "    \n",
    "    # continue building the network ...\n",
    "    net <- mx.symbol.Convolution(net, kernel = c(3, 3), num.filter = 40)\n",
    "    net <- mx.symbol.BatchNorm(net, fix.gamma = TRUE)\n",
    "    net <- mx.symbol.Activation(net, act.type = \"relu\")\n",
    "    net <- mx.symbol.Pooling(net, pool.type = \"max\", kernel = c(2, 2), stride = c(2, 2))\n",
    "    \n",
    "    # flatten the features to single variable\n",
    "    flatten <- mx.symbol.Flatten(net)\n",
    "    \n",
    "    # add a drop out layer where 50% of data gets dropped out at training time\n",
    "    flatten <- mx.symbol.Dropout(flatten)\n",
    "    \n",
    "    # add the final fully connected layer for output of dimension 600\n",
    "    fc1 <- mx.symbol.FullyConnected(data = flatten, num.hidden = 600)\n",
    "    \n",
    "    # Name the final layer as softmax so it auto matches the naming of data iterator\n",
    "    # Otherwise we can also change the provide_data in the data iter\n",
    "    return(mx.symbol.LogisticRegressionOutput(data = fc1, name = 'softmax'))\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you want to know more about a particular layer, pull up the help listing for that layer. For example,?mx.symbol.Activation provides the help information for the activation layer where additional functions are listed for use such as 'sigmoid', 'tanh' and so on."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "?mx.symbol.Activation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
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   "source": [
    "Next the training batch size is specified.  The size can be smaller or larger arbitrarily but since we're using GPUs for the training we have to be careful not to use a really large batch size since the GPU has limited memory.  The batch size is also a factor of how large the input images are.  Since each input is a 64x64x30 tensor, 16 is a good size. It is not the end of the world if batch size is too large.  If the batch size is too large, the training command will just fail and complain about something like \"device out of memory\" which is likely your queue to reduce the batch size."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "batch_size <- 16"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we load the training data using an iterator so that we use host memory efficiently.  This is nice since it does not consume huge amounts of data but the trade off is that it does increase the training time since we have to keep loading data over and over. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# CSVIter is used here, since the data can't fit into memory\n",
    "data_train <- mx.io.CSVIter(\n",
    "   data.csv  = \"./train-64x64-data.csv\", data.shape  = c(64, 64, 30),\n",
    "  label.csv  = \"./train-systole.csv\"   , label.shape = 600,\n",
    "  batch.size = batch_size\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lets now initialize a LeNet style network using our network function.  This network has structure but none of the parameters are determined yet.  Think of it as raw materials that will be shaped into meaningful values/parameters during the training phase.  Notice that when this function is called all of the parameters are initialized to random values which does actually consume memory on the system.  If the network has 10 million parameters in it then we have to initialize 10 million values in memory.  Also, all the network parameters must actually fit into the GPU memory also (with the input data too!) so if the network structure is too large then it is possible to run out of memory on the GPU.  So start conservatively and grow the network as you work through the performance requirements. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "network <- get.lenet()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Before we can train the network parameters we must specify a *loss function* also called a *cost function*.  This function tells the training algoritm how closely the current set of parameters reproduce the target output.  In general, for a given cost function the training algorithm will try to choose parameters for which the cost function is minimized.  That is, a lower cost is better than higher cost. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Custom evaluation metric using CRPS.\n",
    "costfun <- function(label, pred) {\n",
    "  pred  <- as.array(pred )\n",
    "  label <- as.array(label)\n",
    "  return(sum((label - pred) ^ 2) / length(label))\n",
    "}\n",
    "\n",
    "# create custom mxnet metric for training\n",
    "mx.metric.CRPS <- mx.metric.custom(\"CRPS\", costfun)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
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  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now you are ready to train your architected network with training data to build a model.  Below we offer two options - use our pretrained model provided in the first code block below that was created with 65 training rounds (epochs) or train your own model in the second code block below using a smaller number of training rounds (five training rounds will likely take 10+ minutes to execute).  Once you feel comfortable, feel free to play around with the learning rate, momentum etc. and see how the training performance changes.\n",
    "\n",
    "NOTE: No changes are needed in the first of two code blocks that follow this explanation and you only need to execute one of the two code blocks.\n",
    "\n",
    "Notice that one of the arguments provided is ```ctx = mx.gpu(0)``` which effectively tells MXNet to use GPU with device id equal to 0.  If you want to perform the training with the CPU instead then set the context to ```ctx=mx.cpu()```.  Furthermore, an array of GPU devices can be passed into the context for multi-gpu training if there are more than one GPU devices present on the machine.  Keep in mind here that using multiple GPU devices for training incurs some overhead - especially with large datasets.  It's not unusual that training time actually increases when using multiple GPU due to the additional data transfer required. So definitely start small and grow the training strategy and always profile execution times etc. to keep an eye on learning performance. \n",
    "\n",
    "If you want to save some time, simply load the pretrained model using the cell below and skip the cell that follows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# load the pretrained result\n",
    "systole_model <- mx.model.load(\"stytole_model_BN\",65)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
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   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Execute the cell above if you would like to use the pretrained results OR execute the code below if you would like to train the model yourself."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Start training with 1 devices\n",
      "[1] Train-CRPS=0.0481666428208255\n",
      "[2] Train-CRPS=0.0343566657126659\n",
      "[3] Train-CRPS=0.0332070162543011\n",
      "[4] Train-CRPS=0.0321378621554776\n",
      "[5] Train-CRPS=0.0310146609299018\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "   user  system elapsed \n",
       "186.356  17.868 699.206 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Training the systole model (this takes a long time).\n",
    "\n",
    "# set the random seed so the results are reproducible\n",
    "mx.set.seed(0)\n",
    "\n",
    "# start the clock\n",
    "start_time <- proc.time()\n",
    "\n",
    "# train the model parameters with the data\n",
    "systole_model <- mx.model.FeedForward.create(\n",
    "  X             = data_train,\n",
    "  ctx           = mx.gpu(0) ,\n",
    "  symbol        = network   ,\n",
    "  num.round     = 5         ,\n",
    "  learning.rate = 0.01      ,\n",
    "  wd            = 0.0001    ,\n",
    "  momentum      = 0.9       ,\n",
    "  eval.metric   = mx.metric.CRPS\n",
    ")\n",
    "\n",
    "# get the time delta\n",
    "proc.time() - start_time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you've trained a network and want to save the results then export the trained model so it can be reloaded without having to perform training phase next time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Save the trained neural network model to disk.\n",
    "# This creates two files: \n",
    "#    1. systole_model-0065.params\n",
    "#    2. systol_model-symbol.json\n",
    "#\n",
    "# WARNING: the 65 here must match num.rounds parameter provided to mx.model.FeedForward.create\n",
    "#          So if the model was saved at 65, then it must be loaded with 65.\n",
    "#\n",
    "mx.model.save(systole_model,\"systole_model_BN\",5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Just to get a better feel for the data, lets extract all the data from the CSV iterator.  Doing this reads in the entire dataset in to host memory.  This can be prohibative with a large dataset.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# this reads in all the data at once (not a great idea, but we can do it)\n",
    "labels <- mx.io.extract(data_train,\"label\")\n",
    "data   <- mx.io.extract(data_train,\"data\" )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Once the data has been loaded we can check the dimensions.  As advertized we have ~ 5000 training samples each of size 64x64x30."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>600</li>\n",
       "\t<li>5293</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 600\n",
       "\\item 5293\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 600\n",
       "2. 5293\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1]  600 5293"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>64</li>\n",
       "\t<li>64</li>\n",
       "\t<li>30</li>\n",
       "\t<li>5293</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 64\n",
       "\\item 64\n",
       "\\item 30\n",
       "\\item 5293\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 64\n",
       "2. 64\n",
       "3. 30\n",
       "4. 5293\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1]   64   64   30 5293"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# \n",
    "dim(labels)\n",
    "dim(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using the trained model we can pass input samples into the model to predict their systolic volume.  To select various samples we index into the data variable ```data[,,,1:20]``` to extract some samples. Notice here we're selecting input data along the 4th dimension.  That is we're selecting ```N``` input samples with dimension 64x64x30 and by leaving the first three index empty we are effectively saying \"give me everything\" along that dimension."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# create index for selecting samples\n",
    "sample_index = c(1:20);\n",
    "\n",
    "# apply the model to just a few data to generate some predictions\n",
    "model_predictions <- predict(systole_model, data[,,,sample_index])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now lets have a look at what was predicted by the model for these input.  Try selecting a different index for the plot to view other predictions and their label.  Don't hesitate to predict more input in the cell above to investigate even further."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.0253854798271933"
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      "text/latex": [
       "0.0253854798271933"
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      "text/plain": [
       "[1] 0.02538548"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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ZrE5leuoE8fvPsuTp0Sr5owAdHROHIEhw8jOlp3crlRI4lOihoqERZWtudCRESV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/Sflj6XZ8pO5ls9kcDod3/gUoPbI/TD5S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\n/wNIQlmVwBZrcAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# have a look at what the label and associated prediction looks like\n",
    "ix = 14;\n",
    "x  <- seq(1, 600, 1)\n",
    "y1 <- model_predictions[,ix]\n",
    "y2 <- labels[,ix]\n",
    "df <- data.frame(volume=x,prediction=y1,label=y2)\n",
    "\n",
    "# basic graphical object\n",
    "ggplot(df, aes(volume)) +\n",
    "  \n",
    "  # the predicted CDF using the trained model\n",
    "  geom_point(aes(y=prediction), color=\"blue\") +  \n",
    "\n",
    "  # the label for this set of images (i.e. systole volume)\n",
    "  geom_line(aes(y=label), color=\"red\", linetype=\"dotted\") + \n",
    "\n",
    "  # make the plot theme simple \n",
    "  theme_bw()\n",
    "\n",
    "# evaluate the cost function for this prediction\n",
    "costfun(labels[,ix],model_predictions[,ix])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice how the prediction(blue curve) is a logistic like curve (CDF) while the label is a step function.  Certainly we can use our cost function to get a sense for how \"close\" the set of predictions are to their labels.  However, notice with this formulation of the problem it's not very easy to look at the prediction and call out what the actual volume predicted is.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.0261575983350666"
      ],
      "text/latex": [
       "0.0261575983350666"
      ],
      "text/markdown": [
       "0.0261575983350666"
      ],
      "text/plain": [
       "[1] 0.0261576"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "costfun(labels[,sample_index],model_predictions[,sample_index])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "batch_size=16\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## OK Now it is your Turn!\n",
    "\n",
    "Lets use what we've learned from creating the ```systole_network``` and create a network to predict diastole volume.\n",
    "\n",
    "Step 1. Create a training data set using the diastole labels \n",
    "\n",
    "Step 2. Create network \n",
    "\n",
    "Step 3. Train the network\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# step 1\n",
    "data_train <- mx.io.CSVIter(\n",
    "   data.csv  = \"./train-64x64-data.csv\", data.shape  = c(64, 64, 30),\n",
    "  label.csv  = \"./train-diastole.csv\"   , label.shape = 600,\n",
    "  batch.size = batch_size\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      ", , 1, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   11   11   11   10   10   10   11   11   12    11    12    12    12\n",
      " [2,]   11   12   11   11   14   11   11   11   12    11    12    12    12\n",
      " [3,]   11   11   11   12   10   12   12   11   12    12    12    12    11\n",
      " [4,]   11   11   12   11   12   11   12   12   12    11    11    11    12\n",
      " [5,]   11   11   12   13   11   12   11   12   12    12    11    11    11\n",
      " [6,]   11   13   11   11   12   11   11   11   11    11    13    10    12\n",
      " [7,]   12   10   12   12   11   11   11   12   11    12    12    12    11\n",
      " [8,]   11   12   10   11   12   12   11   12   12    11    13    12    11\n",
      " [9,]   12   11   11   11   12   12   12   10   12    11    12    11    10\n",
      "[10,]   11   11   12   11   11   11   12   12   10    11    11     9     9\n",
      "[11,]   11   10   13   12   12   11   12    9   10     9     8     8     7\n",
      "[12,]   11   12   11   12   12   10   11    9    8     8     5     4     4\n",
      "[13,]   12   12   11   12   10    9    7    5    5     5     4     4     5\n",
      "[14,]   10   11   12   10    8    6    5    5    4     4     5     7     6\n",
      "[15,]   11   10    9    9    7    5    5    5    5     6    10    34    63\n",
      "[16,]   11    9    7    6    5    5    5    6   13    47    76   102   122\n",
      "[17,]    8    7    6    5    5    6   12   42   74   103   116   140   127\n",
      "[18,]    7    5    5    7    6   41   76  106  134   145   156   120   103\n",
      "[19,]    5    5    6   16   68  105  138  143  161   156   134    79   106\n",
      "[20,]    5    7   28   85  125  147  165  156  149   126    47    87    80\n",
      "[21,]    7   28  100  139  156  160  138  108   70    48    66    57    87\n",
      "[22,]   20   98  154  159  150  139  112   51   21    40    54    73    59\n",
      "[23,]   86  153  154  154  132  116   31   17   26    60    56    63    89\n",
      "[24,]  142  151  148   94   81   71   26   36   41    55    52    26    65\n",
      "[25,]  155  149  110   60   43   21   37   28   88    99    42    40    22\n",
      "[26,]  149  148   72   58   21   40   77   92   82    57    57    17    23\n",
      "[27,]  150  128  104   60   44   37   59   95  100    56    32    23    19\n",
      "[28,]  144  121  122   49   28   45   57   81   86    57    25    24    13\n",
      "[29,]  146  127  100  104   45   68   82   83   61    31    13    15    13\n",
      "[30,]  143  127  123  103   74   79   82   59   50    31    21    13     9\n",
      "[31,]  139  125  108   87   93   90   76   64   54    34    25    12     9\n",
      "[32,]  137  121  103  109   95   98   85   64   54    40    18    10     9\n",
      "[33,]  133  110   95  116  100   78   71   53   44    34    17    10    10\n",
      "[34,]  133  121  100  105   92   73   69   65   51    38    20    12    11\n",
      "[35,]  129  121   86   88   87   76   75   70   61    48    32    11    11\n",
      "[36,]  130  120   81   82   80   88   91   84   72    54    34    12    14\n",
      "[37,]  123  122   86   89   89   88   90   76   65    48    28    13    14\n",
      "[38,]  108  126   96   78   69   71   85   86   68    52    24    20    14\n",
      "[39,]   87  120  104   68   89   70   88   83   64    46    27    15    17\n",
      "[40,]   73  127  119   93   45   47   86   72   69    47    36    25    18\n",
      "[41,]   66  112  127  111   58   19   19   30   48    41    32    38    18\n",
      "[42,]   51   91  106   80   24   22   14   16   18    23    32    36    17\n",
      "[43,]   40   70  115   97   21   14   15   16   17    28    48    42    22\n",
      "[44,]   24   45  108  104   81   15   14   21   25    38    41    33    24\n",
      "[45,]   15   25   78  105   90   35   15   28   37    56    59    41    31\n",
      "[46,]   17   17   39  101   92   66   28   29   55    61    70    50    33\n",
      "[47,]   53   15   26   88   86   66   54   59   71    34    80    65    42\n",
      "[48,]   84   19   25   51   77   66   63   62   53    43    39    58    48\n",
      "[49,]   92   51   27   45   64   57   63   53   63    59    52    31    20\n",
      "[50,]  106   69   23   36   45   54   54   59   58    59    63    55    57\n",
      "[51,]  114   82   14   29   32   46   48   46   49    53    50    43    45\n",
      "[52,]  129   89   24   21   22   28   34   36   38    34    35    33    37\n",
      "[53,]  146   88   49   32   31   28   27   20   18    25    22    20    21\n",
      "[54,]  153  102   72   61   53   34   28   27   19    16    20    31    29\n",
      "[55,]  151  101   82   71   69   51   43   45   27    32    39    41    37\n",
      "[56,]  155  102   81   70   74   70   61   51   48    44    47    50    53\n",
      "[57,]  153  104   73   61   69   67   61   64   69    56    48    52    52\n",
      "[58,]  138   99   60   41   56   60   63   66   68    66    59    53    52\n",
      "[59,]  119   89   54   24   38   52   61   57   63    55    49    47    41\n",
      "[60,]   94   79   43   11   12   24   48   52   46    32    35    33    28\n",
      "[61,]   84   75   35   11    8   10   13   24   29    21    17    17    20\n",
      "[62,]   73   53   22    9    9    9    9    9   12    12    12    13    22\n",
      "[63,]   62   44   21   10    9    9    9    9    8     8     8     9     9\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    12    11    11    10    10     9     8     7     9    19    49    82\n",
      " [2,]    12    11    10    11    10     9     9     8     8     8     9     7\n",
      " [3,]    12    10    10    10    10     9     8     7     7     7     6     7\n",
      " [4,]    13    12    10    10    10     8     9     8     6     7     7     6\n",
      " [5,]    11    11    11     9     9     9     8     8     6     6     6     6\n",
      " [6,]    11    12    10    11    11    10     8     7     6     6     7     6\n",
      " [7,]    13    12    12    11     9     9     8     7     6     6     6     6\n",
      " [8,]    12    11    11    10     9     8     8     6     6     6     6     5\n",
      " [9,]    11     9     8     7     7     7     5     5     5     5     4     5\n",
      "[10,]     9     8     5     4     4     4     4     4     4     4     5     5\n",
      "[11,]     7     6     5     4     4     4     5     7     7     7    19    32\n",
      "[12,]     4     4     5     7     7     6    25    51    56    74    71    69\n",
      "[13,]     6     7     8    30    59    81    91   105    96   107   100    80\n",
      "[14,]    28    38    80   104   129   132   130   115    94    83    60    44\n",
      "[15,]    94   115   123   146   135   124   110    96    67    42    28    20\n",
      "[16,]   127   149   140   125   121   109    94    59    29    17    17    19\n",
      "[17,]   121   101   117   113   103    92    68    21    19    18    17    21\n",
      "[18,]   117    63    59    90    81    80    31    16    23    24    18    23\n",
      "[19,]    94    43    38    76    66    22    11    20    28    29    36    41\n",
      "[20,]    94    75    72    59    35    20    17    30    40    37    42    50\n",
      "[21,]   103    78    68    49    36    19    36    55    51    57    55    61\n",
      "[22,]    83    56    47    42    19    27    57    53    67    66    73    78\n",
      "[23,]    61    46    40    21    13    44    64    67    62    62    62    63\n",
      "[24,]    32    31    19    10    10    43    70    61    48    42    35    31\n",
      "[25,]    24    19     8     7     7    59    75    49    41    33    40    34\n",
      "[26,]    19     9     8     8     8    62    62    38    54    99    92    72\n",
      "[27,]    12     8     9     8     8    43    57    70    98   101   106    87\n",
      "[28,]     9     9     7     7     9    26    49    56   106   120   117   113\n",
      "[29,]    10     8     7     9    11    20    41    43    87   118   119   105\n",
      "[30,]     9     9     8     9     8    12    38    34    53    86    97    95\n",
      "[31,]     9     9     9     9     7    10    37    38    39    34    27    54\n",
      "[32,]    11     9     9     8     7    10    28    38    41    44    38    36\n",
      "[33,]    10     9     8     8     8     8     9    16    25    35    34    44\n",
      "[34,]     9     9     9     9     8     9     8    10     9    10    24    15\n",
      "[35,]    10    11     9     8     9     9    12    10    10    10    11    15\n",
      "[36,]    13    10    10    10    11     9    11    11    10    16    32    66\n",
      "[37,]    13    10    10    10    10    11     9     9    16    44    51    55\n",
      "[38,]    13    11    11    11    10    10    12    16    35    46    38    50\n",
      "[39,]    15    12    11    11    10    10    11    27    47    50    54    50\n",
      "[40,]    16    11    11    11    11    12    15    42    43    48    51    52\n",
      "[41,]    12    14    19    11    10    13    22    50    45    45    46    45\n",
      "[42,]    13    30    27    13    10    16    36    43    43    39    46    41\n",
      "[43,]    16    20    13    12    11    13    33    40    38    35    39    39\n",
      "[44,]    14    14    12    12    12    14    32    41    40    36    38    39\n",
      "[45,]    15    17    13    12    13    16    32    36    38    38    40    41\n",
      "[46,]    16    12    13    14    11    14    32    40    37    38    44    42\n",
      "[47,]    18    13    15    17    13    17    30    35    39    48    48    37\n",
      "[48,]    19    14    14    16    17    19    45    37    34    33    32    34\n",
      "[49,]    22    16    14    17    15    27    38    45    44    47    44    42\n",
      "[50,]    26    14    18    16    18    25    45    36    36    43    39    38\n",
      "[51,]    36    19    22    15    18    24    49    41    27    38    46    45\n",
      "[52,]    31    17    35    25    20    19    20    27    22    30    38    47\n",
      "[53,]    21    16    21    38    30    17    19    22    14    19    25    35\n",
      "[54,]    17    20    13    17    42    32    25    18    20    17    15    18\n",
      "[55,]    28    26    16    15    17    23    31    26    18    16    16    39\n",
      "[56,]    38    26    21    21    19    16    20    18    16    14    14    16\n",
      "[57,]    45    31    25    21    19    16    19    14    14    15    15    24\n",
      "[58,]    47    40    30    21    15    17    19    15    16    13    25    20\n",
      "[59,]    40    37    31    21    17    16    14    18    14    17    12    14\n",
      "[60,]    28    23    23    24    24    18    19    16    13    14    14    14\n",
      "[61,]    22    23    25    36    54    55    61    58    40    22    10    11\n",
      "[62,]    30    30    34    38    45    55    69    72    75    76    55    27\n",
      "[63,]    13    18    29    37    32    42    60    76    95    88    88    85\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]   100   121   132   151   150   150   145   152   154   154   151   159\n",
      " [2,]    21    40    69    96   114   122   131   133   131   135   139   138\n",
      " [3,]     7     7     7     9    25    49    82   109   131   147   149   153\n",
      " [4,]     6     6     6     6     7     8     8     7     7    11    18    21\n",
      " [5,]     6     6     6     6     6     6     6     5     6     6     8     7\n",
      " [6,]     6     6     6     6     6     5     6     5     6     6     6     6\n",
      " [7,]     5     5     5     6     6     5     5     5     5     6     6     6\n",
      " [8,]     5     4     5     7     9    13     8     6     7     7    11    21\n",
      " [9,]     4     4     3     4     8    10     8     8    22    37    35    29\n",
      "[10,]     7     6     5    10    12    19    16    51    57    41    29    23\n",
      "[11,]    42    41    42    30    21    19    47    74    79    59    28    38\n",
      "[12,]    67    57    51    44    41    38    66    83    74    34    96    89\n",
      "[13,]    69    49    27    21    25    21    37    39    16    51    64    72\n",
      "[14,]    25    19    20    22    19    18    20    18    19    21    38    24\n",
      "[15,]    20    26    28    18    17    23    18    16    24    24    26    24\n",
      "[16,]    20    29    28    25    16    19    22    16    31    38    45    48\n",
      "[17,]    20    14    21    27    30    29    27    30    39    51    50    61\n",
      "[18,]    25    33    39    49    55    57    55    55    67    78    74    73\n",
      "[19,]    43    48    47    53    65    73    76    69    84   103   102    97\n",
      "[20,]    54    75    73    73    74    78    93   116   111   120   115    82\n",
      "[21,]    77    71    79    74    64    75    77   109   116   125   126    85\n",
      "[22,]    88    85    69    80    41    96    99   108   119   127   118    37\n",
      "[23,]    71    80    96    94    97    93    91   105   112   109    57    14\n",
      "[24,]    34    42    58    77    85    92    88    95   100    66    14     9\n",
      "[25,]    26    25    32    67    65    47    59    71    38    17    13     7\n",
      "[26,]    58    32    23    37    73    71    57    33    21    13     7     6\n",
      "[27,]    68    49    26    23    35    44    35    43    12     7     6     8\n",
      "[28,]    97    59    41    45    71    98    28    15     8     7     8     8\n",
      "[29,]    99    77    41    53    87    15     9     8     7     9     8     8\n",
      "[30,]    82    47    20    43     5    10     8     8     9     9     9     9\n",
      "[31,]    29    16    14    10    11     9     8     8     9     9    10    10\n",
      "[32,]    29    21    14    18     9     9     9     9     9     9    10    10\n",
      "[33,]    34    13    19    11     9     9     9    10     9    10     9     9\n",
      "[34,]    11    14    39    26    22    24    16    10    13    15    12    13\n",
      "[35,]    49    52    48    39    37    22    21    18    20    18    30    15\n",
      "[36,]    61    54    56    45    36    33    34    28    27    36    28    33\n",
      "[37,]    45    42    46    31    32    31    33    26    23    17    21    37\n",
      "[38,]    32    43    46    28    24    29    19    19    18    15    12    18\n",
      "[39,]    36    40    41    35    30    19    19    16    18    11    11    12\n",
      "[40,]    46    42    38    30    22    23    23    19    17    22    20    16\n",
      "[41,]    47    40    40    40    35    27    21    38    16    19    24    26\n",
      "[42,]    47    37    39    38    42    45    29    25    20    21    29    33\n",
      "[43,]    39    36    39    36    27    18    12    23    30    32    34    26\n",
      "[44,]    39    36    31    32    14    15    24    25    31    23    23    30\n",
      "[45,]    37    35    36    37    21    23    25    30    25    21    23    21\n",
      "[46,]    41    38    41    34    24    19    17    26    23    19    19    19\n",
      "[47,]    39    32    23    22    19    28    20    27    28    19    25    30\n",
      "[48,]    32    26    23    27    23    31    36    34    38    29    30    29\n",
      "[49,]    32    25    31    24    30    40    32    41    40    27    28    36\n",
      "[50,]    32    29    27    25    40    32    30    29    27    34    36    37\n",
      "[51,]    35    35    29    38    34    34    42    32    41    33    35    36\n",
      "[52,]    45    39    33    28    38    39    43    42    41    37    30    26\n",
      "[53,]    30    42    45    35    37    28    21    21    24    25    15    20\n",
      "[54,]    32    11    15    19    19    21    25    27    28    12    63    32\n",
      "[55,]    27    30    34    35    32    32    34    36    36    36    15    40\n",
      "[56,]    19    26    33    32    34    35    34    32    34    33    35    23\n",
      "[57,]    11    16    22    29    33    33    34    36    34    34    33    34\n",
      "[58,]    43    19    16    15    24    32    34    33    32    34    31    34\n",
      "[59,]    35    63    36    21    13    23    32    32    35    33    35    35\n",
      "[60,]    11    27    73    68    44    20    15    25    32    34    35    35\n",
      "[61,]    11    12    11    23    76    87    60    16    16    20    23    23\n",
      "[62,]    16     9    10    11    10     8    52    58    32    24    11     9\n",
      "[63,]    76    38    19    11     9    15    26     9    12    36    51    49\n",
      "[64,]     0    45    52    58    43    10     7     9    13    19    25    21\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   144   146   155   161   153   136   157   154   154   155   162   180\n",
      " [2,]   135   140   145   141   143   145   149   153   157   165   177   172\n",
      " [3,]   152   156   158   157   160   162   159   150   113    53    25    16\n",
      " [4,]    38    43    55    39    18    13    11    10    12     9     6     6\n",
      " [5,]     9     9    11     9     7     6     6     6     5     5     5     5\n",
      " [6,]     6     5     5     6     5     5     5     5     5     5     5     5\n",
      " [7,]     9     9     8     8    10    10     9    10    11    10     9     6\n",
      " [8,]    28    31    36    36    34    30    25    25    27    38    26    12\n",
      " [9,]    27    27    21    25    27    27    28    36    53    76    84    76\n",
      "[10,]    25    31    38    44    42    27    35    73    88   109   105   118\n",
      "[11,]    49    43    43    36    18    32    47    69    94    99   119   131\n",
      "[12,]    64    46    29    14    14    23    33    38    39    44    51    63\n",
      "[13,]    73    37    19    14    14    10    10    11    11    10    10    10\n",
      "[14,]    21    31    15    16    14    11    13    14    12    15    17    12\n",
      "[15,]    24    19    14    10    17    13    14    18    17    16    10    13\n",
      "[16,]    35    30    35    26    12    25    42    54    61    59    25    13\n",
      "[17,]    60    48    42    37    18    50    59    75    73    64    65    70\n",
      "[18,]    76    61    60    40    19    25    17    22    35    37    36    39\n",
      "[19,]    89    83    40    21    11     8     4     5     7     6     5     6\n",
      "[20,]    84    38    14     8     5     4     4     4     4     4     4     4\n",
      "[21,]    36    10     8     5     4     5     4     4     4     4     4     4\n",
      "[22,]    12    13     6     5     4     5     5     5     5     5     5     4\n",
      "[23,]     9     9     5     6     7     6     7     6     7     7     8     8\n",
      "[24,]     7     6     6     6     6     8     9     9     8     9     9     9\n",
      "[25,]     7     7     7     8     8     8    10    10    10    11    10    11\n",
      "[26,]     7     7     9     9     9     9    10     9    10    10     9     9\n",
      "[27,]     8     9     9    10     9     9    10    10    10     9    10    10\n",
      "[28,]     8     9    10     9    11    10    10    10    11    10    10    10\n",
      "[29,]    10    11     9     9     9    11    11    10    10     9    10    10\n",
      "[30,]     9    10     9     8     9     9    10     9     9    10     9    10\n",
      "[31,]     9    10     9     9     9     8     9     9     8     9     9     9\n",
      "[32,]    10     9     9     9     9     9     9     9    11     9     9     9\n",
      "[33,]    10     9     9    10     8     9     9     9     8    10    10     9\n",
      "[34,]    14    16    13    12    11    13    11    10    10    12    15    15\n",
      "[35,]    42    18    20    35    35    24    27    27    19    19    24    25\n",
      "[36,]    39    26    26    39    59    46    34    24    36    35    32    21\n",
      "[37,]    37    26    26    33    34    41    40    34    35    41    18    15\n",
      "[38,]    19    30    31    27    28    26    33    35    33    25    21    25\n",
      "[39,]    15    20    25    21    19    32    34    34    39    11    13    28\n",
      "[40,]    18    18    20    15    17    27    33    31    36    38    23    34\n",
      "[41,]    27    21    17    15    27    30    28    35    14    39    28    25\n",
      "[42,]    30    30    24    29    31    38    39    34    36    20    37    37\n",
      "[43,]    20    21    25    31    36    39    29    13    35    38    35    24\n",
      "[44,]    20    27    32    34    35    25    13    40    50    48    32    17\n",
      "[45,]    20    20    21    34    35    16    27    39    52    43    30    29\n",
      "[46,]    19    23    21    37    17    27    31    46    54    43    37    27\n",
      "[47,]    31    22    34    26    15    19    31    39    49    46    39    37\n",
      "[48,]    35    41    36    16    29    32    13    30    40    38    42    37\n",
      "[49,]    40    39    23    16    33    25    14    12    14    18    13    10\n",
      "[50,]    37    29    20    40    38    17    17    15    18    41    38    35\n",
      "[51,]    29    24    35    54    44    14    26    36    39    33    29    31\n",
      "[52,]    36    51    31    56    47    16    39    40    32    32    30    32\n",
      "[53,]    31    17    44    57    42    24    42    33    30    29    28    32\n",
      "[54,]    29    27    49    56    47    34    39    37    35    29    31    43\n",
      "[55,]    27    35    55    58    33    35    36    34    32    34    42    35\n",
      "[56,]    27    45    57    58    26    41    39    35    34    34    38    41\n",
      "[57,]    33    37    15    57    30    37    37    39    36    40    39    35\n",
      "[58,]    35    33    31    12    29    39    38    42    37    37    40    38\n",
      "[59,]    35    34    35    32    35    39    41    42    41    42    40    38\n",
      "[60,]    35    35    34    27    52    19    36    38    38    40    40    39\n",
      "[61,]    15    23    25    39    67    43    32    26    42    37    29    36\n",
      "[62,]     8    21    34    54    72    81    70    42    31    56    56    43\n",
      "[63,]    42    23    12    13    16    17    11     8    11     9    15    32\n",
      "[64,]    18    13    16    22    21    25    32    29    13    16    24    27\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   183   208   169   120    29    23    16     7     6     6     8     8\n",
      " [2,]    99    33    11    11     7     6     5     5     5     6     7     9\n",
      " [3,]    14     9     6     5     5     6     5     5     5     6     8     8\n",
      " [4,]     6     5     5     5     6     5     4     5     6     6     7     8\n",
      " [5,]     5     5     5     5     5     5     5     5     5     5     7     7\n",
      " [6,]     5     4     4     4     5     4     4     5     5     5     5     6\n",
      " [7,]     5     4     4     3     4     4     4     4     5     4     4     5\n",
      " [8,]     9     7     6     5     5     4     4     4     4     4     4     4\n",
      " [9,]    59    44    31    20    13     8     7     6     6     8     8     8\n",
      "[10,]   107    94    81    85    85    79    65    71    57    43    25    15\n",
      "[11,]   150   150   149   144   132   132   121    89    48    26    41    65\n",
      "[12,]    82    95   103   109   119   118    99    76    28    35    63    89\n",
      "[13,]    12    16    19    24    33    40    36    28    17    41    70    91\n",
      "[14,]    11     9    10     9     9     9     8    13    39    57    66    80\n",
      "[15,]    16    13    14    18    16    16    17    15    21    24    29    44\n",
      "[16,]    13    11     9     8    10    10    12     9    10    17    24    39\n",
      "[17,]    53    34    26    19    13     8     8     8    10    21    31    42\n",
      "[18,]    43    48    36    28    26    29    40    36    12    38    66    83\n",
      "[19,]     6     7    15    26    31    27    27    24    19    53    72    79\n",
      "[20,]     5     6     5     7     5    10    18    20    25    42    53    69\n",
      "[21,]     4     4     4     4     4     6     8     9    46    64    64    60\n",
      "[22,]     6     4     5     5     5     5     4     8    17    38    49    55\n",
      "[23,]     8     6     7     5     6     5     4     4     7    14    22    37\n",
      "[24,]     9     8     8     8     6     5     5     5     8     9    12    29\n",
      "[25,]     9     8     8     7     7     6     6     6     6     8    11    21\n",
      "[26,]     9     8     9     8     8     7     7     6     6     8    14    10\n",
      "[27,]    10     9     9     8     8     7     7     7     7    11    10     9\n",
      "[28,]     9     9     9     8     8     8     8     8     8    15     8    11\n",
      "[29,]     9     9     8     8     8     8     7     7     9    22    15    16\n",
      "[30,]     8     9     9     8     8     8     8     8    11    32    49    10\n",
      "[31,]     9    10     9     9     8     8     8     9    22    49    56    19\n",
      "[32,]     9     8     9     8     8     9     9    13    42    96    43    11\n",
      "[33,]     9     9     9     9     9    10    14    35    52    82    31    11\n",
      "[34,]    15    13    13    11    16    23    27    25    38    45    14    28\n",
      "[35,]    30    36    25    16    31    54    11    15    22    24    24    20\n",
      "[36,]    14    12    18    30    51    27    22    24    21    21    28    15\n",
      "[37,]    32    17    26    30    28    27    21    19    45    33    42    48\n",
      "[38,]    30    29    16    20    33    21    10    20    47    37    16    15\n",
      "[39,]    29    20    17    12    11    12    32    33    33    10    18    11\n",
      "[40,]    37    29    22    31    23    18    13    13    11    12    13    21\n",
      "[41,]    14    17    28    20    27    17    12    18    14    14    10    24\n",
      "[42,]    23    25    35    12    12    11    14    21    21    22    16    12\n",
      "[43,]    16    22    21    16    26    26    23    27    29    15    10    14\n",
      "[44,]    21    23    23    31    30    24    27    28    27    20    18    19\n",
      "[45,]    27    34    31    27    28    33    32    23    14    15    15    17\n",
      "[46,]    30    30    28    29    35    32    29    12    21    32    41    19\n",
      "[47,]    33    29    23    32    32    27    26    20    29    27    16    14\n",
      "[48,]    34    22    23    20    19    20    11    30    22    17    11    10\n",
      "[49,]    13    16    29    14    14    46    41    30    26    14    11    12\n",
      "[50,]    29    36    29    14    65    62    31    15    25    13    14    19\n",
      "[51,]    32    44    46    42    39    54    29    27    26    18    17    16\n",
      "[52,]    32    57    51    49    43    40    34    35    22    16    17    18\n",
      "[53,]    47    65    63    42    36    41    45    33    24    17    19    21\n",
      "[54,]    67    63    53    39    37    36    49    35    21    17    17    30\n",
      "[55,]    47    48    40    35    38    38    51    37    21    24    24    25\n",
      "[56,]    34    32    36    35    38    41    50    39    20    15    13    11\n",
      "[57,]    34    36    37    38    40    45    43    23    13    11    12     8\n",
      "[58,]    35    40    38    41    51    58    36    14    14     9     7     7\n",
      "[59,]    37    39    39    45    54    34    27    12     9     6     7    12\n",
      "[60,]    38    35    49    48    71    44    14     8     6     7     8    12\n",
      "[61,]    44    44    35    24    23    22    16     9     7     7    10    13\n",
      "[62,]    30    20    23    22    20    16    10     7     5     6    12    13\n",
      "[63,]    22    21    25    21    19    18    10     5     4     8    14    10\n",
      "[64,]    27    24    22    22    21    15     8     5     4     7    11    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]     9    12    12\n",
      " [2,]    10    13    11\n",
      " [3,]     9    11    12\n",
      " [4,]     9    11    12\n",
      " [5,]     9    10    11\n",
      " [6,]     8     8    10\n",
      " [7,]     5     7     9\n",
      " [8,]     4     4     4\n",
      " [9,]     7     6     4\n",
      "[10,]    13    11    23\n",
      "[11,]    91   128   165\n",
      "[12,]   123   180   207\n",
      "[13,]   130   165   172\n",
      "[14,]    95   118   154\n",
      "[15,]    58    74   104\n",
      "[16,]    49    54    67\n",
      "[17,]    55    57    51\n",
      "[18,]    86    82    73\n",
      "[19,]    86    86    86\n",
      "[20,]    71    61    70\n",
      "[21,]    58    53    57\n",
      "[22,]    75    73    54\n",
      "[23,]    68    79    56\n",
      "[24,]    48    46    42\n",
      "[25,]    26    22    19\n",
      "[26,]    17    15    10\n",
      "[27,]    12     9     6\n",
      "[28,]    14    15     9\n",
      "[29,]    10    12    19\n",
      "[30,]     8    16    22\n",
      "[31,]     8     7    15\n",
      "[32,]     9    17    19\n",
      "[33,]    11    42    32\n",
      "[34,]    27    25    20\n",
      "[35,]    16    29    34\n",
      "[36,]    24    55    78\n",
      "[37,]    25    21    40\n",
      "[38,]    16    26    27\n",
      "[39,]    28    28    24\n",
      "[40,]    15     9    11\n",
      "[41,]    41    72    62\n",
      "[42,]    36    71    61\n",
      "[43,]    13    10     9\n",
      "[44,]    11    11    10\n",
      "[45,]    12    11    13\n",
      "[46,]    11    10    15\n",
      "[47,]    12    12    16\n",
      "[48,]    12    12    16\n",
      "[49,]    13    15    15\n",
      "[50,]    23    16    17\n",
      "[51,]    24    49    59\n",
      "[52,]    24    35    64\n",
      "[53,]    31    38    41\n",
      "[54,]    34    24    34\n",
      "[55,]    11    13    32\n",
      "[56,]    12    22    10\n",
      "[57,]     8    11     9\n",
      "[58,]    10     8    10\n",
      "[59,]    12    11    15\n",
      "[60,]    14    15    17\n",
      "[61,]    15    16    16\n",
      "[62,]    17    17    20\n",
      "[63,]    11    22    22\n",
      "[64,]     9     9    22\n",
      "\n",
      ", , 2, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   11   11   11   12   12   10   12   11   12    12    12    11    13\n",
      " [2,]   10   11   12   13   12   11   12   12   13    11    12    13    13\n",
      " [3,]   12   11   11   12   12   13   12   12   12    11    11    11    12\n",
      " [4,]   11   10   11   11   10   12   11   10   12    13    12    12    11\n",
      " [5,]   12   11   11   12   12   12   11   12   11    11    12    11    12\n",
      " [6,]   13   11   11   13   11   11   11   12   13    11    12    13    12\n",
      " [7,]   11    9   13   11   11   12   12   13   12    12    12    12    11\n",
      " [8,]   13   11   11   10   11   12   10   11   12    11    10    12    10\n",
      " [9,]   12   10   12   12   12   12   12   12   12    12    12    11    10\n",
      "[10,]   12   10   12   12   12   11   12   11   10    11    11    10    10\n",
      "[11,]   11   12   13   11   11   10   11   10    9     9     7     8     7\n",
      "[12,]   11   13   12   12   11   11   11    9    8     7     5     5     5\n",
      "[13,]   11   11   13   12   10    8    8    7    6     5     5     4     4\n",
      "[14,]   11   11   11   10    8    7    5    5    5     5     5     6     5\n",
      "[15,]   10    9    8    9    6    5    5    4    5     5     9    32    60\n",
      "[16,]   11    9    6    5    5    4    5    7   12    43    74   100   120\n",
      "[17,]    9    7    6    5    5    6   11   40   71   101   114   134   125\n",
      "[18,]    6    6    6    5    5   39   73  104  132   141   152   121   102\n",
      "[19,]    6    5    6   16   66  103  134  139  158   152   133    78   103\n",
      "[20,]    5    6   26   82  124  144  162  152  147   126    48    80    76\n",
      "[21,]    6   25   96  136  151  156  136  107   71    47    63    57    83\n",
      "[22,]   19   94  152  155  147  136  110   51   20    38    52    69    57\n",
      "[23,]   86  149  151  151  130  115   31   15   23    57    53    60    86\n",
      "[24,]  138  151  143   93   79   68   23   36   38    52    53    25    64\n",
      "[25,]  155  146  109   59   39   21   36   28   84    96    44    40    19\n",
      "[26,]  148  143   72   55   24   37   72   87   81    55    56    16    22\n",
      "[27,]  146  126  101   58   44   37   55   94   98    56    29    21    17\n",
      "[28,]  143  120  120   48   27   43   55   78   85    56    25    23    13\n",
      "[29,]  142  124  101  101   44   68   78   81   56    28    12    14    12\n",
      "[30,]  139  125  118   98   72   77   78   58   47    31    20    12     8\n",
      "[31,]  136  122  106   87   91   87   72   63   52    31    23    11     9\n",
      "[32,]  132  116  101  109   91   99   84   60   50    35    17    11    11\n",
      "[33,]  130  107   96  114  101   81   69   50   44    32    15    12     9\n",
      "[34,]  129  117   98  104   90   71   66   64   48    38    18    12    10\n",
      "[35,]  126  119   84   86   86   73   73   70   61    46    25    13    11\n",
      "[36,]  126  119   80   83   83   85   85   80   67    53    32    12    16\n",
      "[37,]  121  121   82   85   88   85   90   75   63    47    24    12    15\n",
      "[38,]  108  123   96   73   68   68   82   86   68    48    22    17    14\n",
      "[39,]   84  119  102   67   87   68   87   83   62    44    26    13    15\n",
      "[40,]   72  126  115   86   43   47   79   70   65    45    34    29    20\n",
      "[41,]   68  109  125  109   56   18   16   25   44    38    31    35    17\n",
      "[42,]   50   89  103   78   22   22   14   17   16    25    35    35    20\n",
      "[43,]   41   69  113   93   21   14   13   14   15    26    46    40    22\n",
      "[44,]   24   48  108  100   77   12   15   17   23    38    41    28    21\n",
      "[45,]   16   23   78  104   90   37   15   25   34    57    61    37    30\n",
      "[46,]   17   18   38   99   87   64   30   29   57    62    70    51    34\n",
      "[47,]   50   16   27   82   86   68   50   58   70    37    80    64    37\n",
      "[48,]   80   21   26   56   74   63   57   60   51    40    43    56    48\n",
      "[49,]   88   48   28   46   63   60   64   51   61    59    51    31    20\n",
      "[50,]  102   67   22   41   49   54   52   58   52    59    64    52    53\n",
      "[51,]  115   80   15   28   34   44   44   44   48    52    46    43    45\n",
      "[52,]  125   85   24   21   21   29   34   34   36    34    36    34    36\n",
      "[53,]  145   88   43   31   27   25   27   22   18    25    21    18    20\n",
      "[54,]  152  101   69   62   55   39   30   29   21    18    21    33    28\n",
      "[55,]  151  103   80   72   67   50   42   44   30    34    39    38    36\n",
      "[56,]  151  103   78   67   69   67   56   49   48    45    47    51    46\n",
      "[57,]  152  101   69   61   69   67   63   61   67    55    49    50    48\n",
      "[58,]  134   96   57   40   53   57   64   67   69    64    59    52    51\n",
      "[59,]  114   88   51   23   35   52   57   58   64    56    49    46    40\n",
      "[60,]   96   78   42   12   12   24   46   48   43    33    37    33    29\n",
      "[61,]   83   73   35   10    8    9   12   24   31    20    16    16    21\n",
      "[62,]   74   52   23    9    9    8    9    9   11    13    12    14    22\n",
      "[63,]   61   45   19    9    9   10   10    9    9     9    10     9     9\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    11    12    12    11    10     9     8     8     8    20    46    78\n",
      " [2,]    12    11    10    10     9     9     9     8     8     8     9     8\n",
      " [3,]    13    11    11    10    10    10    10     8     7     6     7     7\n",
      " [4,]    11    11    11    10    12     9     9     8     7     7     6     7\n",
      " [5,]    10    12    11    10    10     8     8     8     7     6     6     6\n",
      " [6,]    12    11    11    10    11    10     9     8     6     7     6     6\n",
      " [7,]    12    12    11    11    10     9     9     7     6     7     6     6\n",
      " [8,]    12    12    10    10     9     8     8     6     6     5     5     5\n",
      " [9,]    10    10     7     8     7     6     6     5     5     6     5     5\n",
      "[10,]     9     7     6     5     5     5     4     4     4     4     4     5\n",
      "[11,]     6     6     5     4     4     4     4     6     7     7    18    29\n",
      "[12,]     4     4     4     6     5     6    23    46    50    69    69    66\n",
      "[13,]     5     6     7    28    56    80    89   101    93   103    99    79\n",
      "[14,]    27    39    78    99   124   129   126   113    91    82    61    43\n",
      "[15,]    90   111   122   143   131   122   107    92    67    41    28    21\n",
      "[16,]   123   146   137   122   119   106    91    57    28    18    18    20\n",
      "[17,]   118   101   114   112   100    87    67    22    19    18    17    21\n",
      "[18,]   115    63    58    87    77    76    30    15    23    25    18    23\n",
      "[19,]    92    43    35    74    64    22    12    20    29    29    35    39\n",
      "[20,]    92    74    70    59    34    17    18    31    37    36    41    50\n",
      "[21,]   101    76    68    49    35    19    35    52    48    55    52    57\n",
      "[22,]    81    55    47    40    18    23    55    55    68    65    67    70\n",
      "[23,]    58    44    37    17    12    40    64    69    66    60    60    60\n",
      "[24,]    30    29    18     9     8    38    71    64    50    44    37    30\n",
      "[25,]    23    18     8     7     8    52    74    51    36    34    36    28\n",
      "[26,]    18    10     8     8     8    59    59    32    51    86    80    64\n",
      "[27,]    11    10     9     7     9    39    54    62    84    90   103    86\n",
      "[28,]     9     9     7     8    10    25    46    58   103   117   113   104\n",
      "[29,]     9     8     9     9    11    22    36    44    86   119   113    97\n",
      "[30,]     9     8     9     9     7    10    36    30    50    86    93    91\n",
      "[31,]     8     9    10     9     7    11    36    35    37    32    25    49\n",
      "[32,]    11    10     8     8     8    10    29    38    40    42    38    33\n",
      "[33,]    10     9     8     8     8     8     9    19    34    38    34    40\n",
      "[34,]    12    10     9     9     8     9     9    10    10     9    19    26\n",
      "[35,]    10    10     8     9     9    10    14    10    11    10    13    16\n",
      "[36,]    14    12     9     9    12    11    10    12    11    17    24    62\n",
      "[37,]    13     9     9     9    10     9     9    11    16    43    48    52\n",
      "[38,]    12    11    10    10    10     9    11    15    33    43    39    47\n",
      "[39,]    15    11    10    10    11    10    13    26    43    49    53    49\n",
      "[40,]    13    11    11    10    11    11    15    43    44    44    49    50\n",
      "[41,]    12    16    19    13    12    12    16    48    42    42    45    43\n",
      "[42,]    14    28    26    12    12    13    32    43    41    41    41    36\n",
      "[43,]    15    20    14    10    13    15    33    38    36    35    37    38\n",
      "[44,]    15    13    12    13    11    16    31    39    44    39    36    40\n",
      "[45,]    16    17    13    12    12    15    31    36    40    36    42    38\n",
      "[46,]    20    14    13    15    13    13    32    38    34    39    43    42\n",
      "[47,]    15    13    13    16    14    17    27    32    36    44    46    38\n",
      "[48,]    19    15    13    14    17    20    43    37    34    36    33    37\n",
      "[49,]    22    17    13    14    13    24    38    39    43    45    46    40\n",
      "[50,]    28    16    18    15    19    25    37    35    40    41    38    35\n",
      "[51,]    37    13    21    13    18    21    47    45    29    35    46    44\n",
      "[52,]    29    19    32    29    20    18    24    24    21    28    37    39\n",
      "[53,]    19    17    23    36    31    20    17    23    19    20    25    35\n",
      "[54,]    16    19    14    17    37    34    24    17    17    19    16    21\n",
      "[55,]    28    21    15    18    16    20    29    24    19    16    14    33\n",
      "[56,]    38    26    21    20    21    16    17    18    15    15    15    15\n",
      "[57,]    42    33    24    19    19    17    15    13    13    15    15    22\n",
      "[58,]    47    40    28    19    16    19    16    14    16    12    22    19\n",
      "[59,]    40    36    29    20    18    16    14    15    14    14    14    14\n",
      "[60,]    28    25    27    24    23    19    19    18    11    13    13    11\n",
      "[61,]    21    25    25    35    52    52    59    55    39    22    11    11\n",
      "[62,]    29    28    34    38    43    52    67    72    74    73    53    27\n",
      "[63,]    13    19    29    36    33    41    56    74    95    87    85    83\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]    99   114   129   147   147   146   141   150   152   152   148   158\n",
      " [2,]    20    39    67    93   109   119   128   131   129   134   137   136\n",
      " [3,]     7     7     8    10    25    49    78   107   129   143   144   151\n",
      " [4,]     6     7     5     6     7     8     8     7     8     9    16    21\n",
      " [5,]     6     6     6     6     6     6     6     6     7     7     7     8\n",
      " [6,]     6     6     6     6     6     6     6     6     6     6     6     6\n",
      " [7,]     6     6     5     6     6     5     5     5     5     6     7     7\n",
      " [8,]     5     5     5     7     8    13     8     6     7     8    10    20\n",
      " [9,]     5     4     4     4     7    11     8     8    20    35    33    29\n",
      "[10,]     7     6     6     9    11    19    14    48    53    40    28    21\n",
      "[11,]    40    39    40    29    21    19    46    72    74    57    27    38\n",
      "[12,]    65    55    49    43    38    35    63    80    73    35    95    88\n",
      "[13,]    67    49    28    22    24    21    34    40    17    50    63    72\n",
      "[14,]    24    20    20    23    20    18    20    17    19    18    37    25\n",
      "[15,]    21    25    28    17    18    23    19    16    23    23    28    23\n",
      "[16,]    21    28    28    24    15    19    20    15    29    38    47    48\n",
      "[17,]    20    17    21    27    28    29    27    32    41    56    51    62\n",
      "[18,]    26    35    41    51    54    55    54    53    64    81    76    75\n",
      "[19,]    40    47    47    52    63    69    74    60    78   104    97    95\n",
      "[20,]    53    70    69    73    75    78    99   108   106   111   104    76\n",
      "[21,]    74    76    69    75    60    72    88   101   108   115   115    77\n",
      "[22,]    88    81    72    63    38    94    94   102   116   123   100    33\n",
      "[23,]    68    78    91    92    91    91    89   100   107   107    43    13\n",
      "[24,]    33    45    61    77    81    89    79    89    92    47    12     7\n",
      "[25,]    21    24    36    59    61    49    68    64    24    15    14     7\n",
      "[26,]    55    29    22    40    76    72    43    20    14    12     7     7\n",
      "[27,]    66    45    24    25    36    33    44    28    14     7     7     8\n",
      "[28,]    92    51    33    44    77   103     9    15     6     8     8     8\n",
      "[29,]    92    66    31    58    90     5     8     7     9     8     8     8\n",
      "[30,]    75    38    20    47     6     8     8     9     8     9    10     9\n",
      "[31,]    30    16    15    13    10     8     8     8     9     9     8    10\n",
      "[32,]    24    21    15    15     8     9     8     8     9     9     9    10\n",
      "[33,]    37     9    16    10    10    10     9    10     9     9     9     8\n",
      "[34,]    10    11    36    25    22    24    15    12    15    15    12    13\n",
      "[35,]    38    53    51    41    38    23    23    20    17    22    30    15\n",
      "[36,]    61    53    49    45    35    31    35    27    22    31    24    34\n",
      "[37,]    44    43    43    34    31    31    32    25    19    18    20    38\n",
      "[38,]    30    40    48    28    24    30    20    18    15    15    13    17\n",
      "[39,]    40    38    41    33    31    19    18    17    17    12    13    14\n",
      "[40,]    46    37    34    30    25    22    21    20    16    17    20    17\n",
      "[41,]    41    36    35    37    34    31    21    34    16    18    25    26\n",
      "[42,]    46    35    37    34    40    40    29    23    20    23    28    31\n",
      "[43,]    39    34    36    33    28    18    17    25    31    30    34    26\n",
      "[44,]    35    36    33    28    16    17    25    26    31    22    24    27\n",
      "[45,]    37    37    36    35    22    21    22    29    27    19    23    21\n",
      "[46,]    41    38    39    34    22    17    16    27    25    17    19    18\n",
      "[47,]    38    34    25    23    19    27    20    25    25    20    24    27\n",
      "[48,]    34    28    24    22    20    29    35    35    35    27    26    25\n",
      "[49,]    32    26    33    24    27    37    32    38    38    29    28    35\n",
      "[50,]    28    28    26    26    41    34    34    29    28    30    30    38\n",
      "[51,]    31    34    28    35    37    32    39    36    41    33    39    37\n",
      "[52,]    44    40    33    29    38    39    43    39    35    39    33    25\n",
      "[53,]    35    34    40    35    37    31    24    20    22    24    15    20\n",
      "[54,]    29    10    16    16    18    19    27    28    30    13    67    35\n",
      "[55,]    26    30    33    35    32    33    33    36    34    34    17    36\n",
      "[56,]    20    27    30    30    32    33    35    37    35    33    36    19\n",
      "[57,]    12    15    22    27    31    32    33    33    32    36    36    34\n",
      "[58,]    41    19    18    16    24    33    33    35    33    35    32    32\n",
      "[59,]    35    63    34    19    12    21    32    30    36    32    34    35\n",
      "[60,]    11    25    70    67    41    15    14    23    31    34    34    33\n",
      "[61,]    10    12    10    23    74    86    56    16    15    20    20    22\n",
      "[62,]    16    10    10     9     8     8    50    58    34    22    10     9\n",
      "[63,]    76    39    19    10    10    16    24    10    13    37    50    49\n",
      "[64,]     0    44    51    57    43    11     8     8    14    20    22    19\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   143   143   153   158   152   132   152   151   149   149   157   174\n",
      " [2,]   133   137   142   139   141   142   145   149   154   164   173   167\n",
      " [3,]   148   155   156   153   157   160   155   146   109    51    23    15\n",
      " [4,]    37    43    52    38    17    11    14    11    13    10     6     6\n",
      " [5,]     7    10    10     8     7     6     6     7     6     5     6     6\n",
      " [6,]     6     6     6     5     6     6     6     6     6     5     5     5\n",
      " [7,]     8     9     8     9    10    11     9    10    11    10     9     6\n",
      " [8,]    27    29    34    33    31    28    23    24    25    36    25    11\n",
      " [9,]    26    24    21    24    26    26    27    33    50    70    79    72\n",
      "[10,]    24    31    39    43    44    29    33    69    83   105   101   113\n",
      "[11,]    50    44    44    38    17    29    45    67    91    95   114   127\n",
      "[12,]    64    47    28    12    13    20    32    37    39    43    49    60\n",
      "[13,]    74    37    19    13    14    11    11    12    10    10    10    10\n",
      "[14,]    21    31    14    14    14    10    12    13    12    16    17    14\n",
      "[15,]    23    20    14    10    17    14    13    16    16    16    10    14\n",
      "[16,]    35    30    34    26    14    24    39    52    58    57    25    14\n",
      "[17,]    64    49    41    33    18    46    55    72    69    62    64    71\n",
      "[18,]    75    69    59    39    16    22    16    22    34    37    36    39\n",
      "[19,]    84    89    36    18    10     7     4     5     6     6     6     6\n",
      "[20,]    86    32    12     9     5     4     4     4     5     5     4     6\n",
      "[21,]    34    10     7     5     5     4     4     4     4     5     5     4\n",
      "[22,]    11    12     6     5     5     4     4     5     5     5     5     6\n",
      "[23,]    11     9     6     6     6     6     7     7     8     7     7     7\n",
      "[24,]     8     6     6     6     8     7     9     9     9     9    10     9\n",
      "[25,]     6     7     7     7     8     9    10    11     9     9    11    10\n",
      "[26,]     7     7     9    10     9     9    10    10    10    12    10     9\n",
      "[27,]     8     8     9    10    11     9     9    10    10    10    10    10\n",
      "[28,]     9     9     9    10     9     9     9    10    10    10    10    10\n",
      "[29,]     8     9     9     9     9    10     9    10    11     9    10     9\n",
      "[30,]    10     9    10     9     9     9    11    10     9    10     9    10\n",
      "[31,]    10     9     9    10     9    10     9     9     9    10     9    10\n",
      "[32,]     9     9    10     9    10     9    10     9    11    10     9    10\n",
      "[33,]    10     9     9     9     9     9     9    10    10     9    10     9\n",
      "[34,]    15    16    17    14    11    14    13    10    12    13    17    21\n",
      "[35,]    42    18    18    38    40    24    23    28    22    20    23    24\n",
      "[36,]    37    27    26    44    55    45    33    29    34    36    21    18\n",
      "[37,]    33    23    24    30    36    38    42    33    36    39    26    13\n",
      "[38,]    20    30    28    27    25    29    36    31    37    19    23    38\n",
      "[39,]    16    19    23    19    20    32    33    33    44    15    21    31\n",
      "[40,]    19    19    18    16    18    31    30    37    38    38    36    40\n",
      "[41,]    25    21    19    19    29    29    31    34    15    36    30    29\n",
      "[42,]    30    30    26    29    31    34    33    34    27    36    33    33\n",
      "[43,]    19    26    26    34    36    37    28    12    44    49    36    26\n",
      "[44,]    23    28    27    32    33    26    16    47    53    53    37    21\n",
      "[45,]    18    21    24    37    31    16    33    39    58    51    37    39\n",
      "[46,]    21    23    20    33    14    27    34    52    59    55    47    35\n",
      "[47,]    28    22    36    24    23    21    35    52    60    56    51    47\n",
      "[48,]    30    41    34    15    28    23    17    41    53    54    47    44\n",
      "[49,]    41    35    20    18    33    19    12    13    20    24    14    10\n",
      "[50,]    38    26    18    43    37    20    14    13    30    44    38    36\n",
      "[51,]    29    25    36    51    41    13    26    34    36    30    26    33\n",
      "[52,]    39    56    29    55    47    17    36    38    31    27    31    35\n",
      "[53,]    30    15    43    53    43    23    41    32    28    27    28    29\n",
      "[54,]    28    26    49    54    43    34    38    38    36    27    31    42\n",
      "[55,]    30    38    54    58    33    37    34    35    33    35    43    35\n",
      "[56,]    25    43    53    58    26    39    36    34    37    34    40    42\n",
      "[57,]    33    33    14    54    31    36    38    39    35    36    36    36\n",
      "[58,]    34    34    32    14    30    35    39    38    36    39    37    36\n",
      "[59,]    34    34    34    30    28    37    36    37    39    39    37    35\n",
      "[60,]    33    34    32    27    52    18    36    40    39    39    40    41\n",
      "[61,]    16    23    24    37    66    41    33    26    44    38    32    37\n",
      "[62,]     8    20    34    53    67    78    67    39    29    54    48    38\n",
      "[63,]    41    23    11    12    14    15     8     8    11     9    16    31\n",
      "[64,]    17    14    16    21    20    27    29    25    13    15    24    26\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   182   203   167   115    28    20    16     8     7     8     7     8\n",
      " [2,]    96    33    12    11     7     6     6     6     6     7     8     9\n",
      " [3,]    14    10     6     6     6     6     5     6     5     6     7     7\n",
      " [4,]     6     6     5     6     5     6     6     5     5     6     8     7\n",
      " [5,]     5     5     5     5     5     5     5     5     6     6     7     8\n",
      " [6,]     5     5     5     4     5     5     4     4     5     5     6     6\n",
      " [7,]     4     4     4     4     5     4     4     4     4     5     5     5\n",
      " [8,]     8     7     6     5     4     4     4     4     4     4     4     4\n",
      " [9,]    57    43    30    19    13     9     8     6     6     7     8     6\n",
      "[10,]   105    93    80    81    84    77    65    69    56    41    24    15\n",
      "[11,]   146   146   146   140   130   128   118    86    46    27    42    65\n",
      "[12,]    77    91    99   105   114   115    95    72    25    35    62    88\n",
      "[13,]    11    15    17    23    32    38    34    27    15    41    68    90\n",
      "[14,]    11    10    10    10    10     9     8    12    37    54    64    77\n",
      "[15,]    15    13    13    17    17    16    15    14    19    24    28    43\n",
      "[16,]    13    12     9     9    10    11    12     9    10    16    24    38\n",
      "[17,]    54    34    26    19    12     9    10     9    10    21    31    40\n",
      "[18,]    43    47    36    27    26    27    38    35    12    35    68    83\n",
      "[19,]     6     7    14    26    29    25    27    24    16    53    70    79\n",
      "[20,]     5     6     5     6     6    10    17    20    26    42    53    70\n",
      "[21,]     5     5     4     4     4     6     9    13    50    66    66    63\n",
      "[22,]     6     5     5     5     5     5     5    11    21    40    54    60\n",
      "[23,]     7     8     6     5     5     5     5     5     9    18    24    41\n",
      "[24,]    10     8     7     6     6     5     6     6    10    13    10    37\n",
      "[25,]     9     9    10     8     7     7     6     6     6    10    14    27\n",
      "[26,]     9    10     9     8     7     7     7     7     6     9    15    10\n",
      "[27,]    10     9    10     9     8     7     8     6     8    14     9     7\n",
      "[28,]     9    10     9    10     9     7     8     8     7    23    11    14\n",
      "[29,]     8     9     8     9     8     8     9     8     9    26    16    20\n",
      "[30,]     8     9     9     9     7     8     8     9    17    43    44    13\n",
      "[31,]     9     9     8     9     9     8     8     9    27    62    49    21\n",
      "[32,]     9     9     9     8     9     8    10    18    51   101    35    10\n",
      "[33,]     8     9     9     8     8     9    17    36    55    80    30    11\n",
      "[34,]    17    15    13    14    17    33    33    28    41    40    15    30\n",
      "[35,]    32    32    23    15    32    55    12    17    18    25    24    19\n",
      "[36,]    15    10    14    29    50    31    31    26    20    21    24    16\n",
      "[37,]    27    13    29    26    27    26    20    19    47    31    45    49\n",
      "[38,]    32    27    15    23    33    25    12    19    42    38    16    15\n",
      "[39,]    24    16    19    14    12    15    31    34    33    14    14    13\n",
      "[40,]    43    25    28    26    33    21    22    12    14    13    14    19\n",
      "[41,]    14    21    22    21    24    15    12    17    13    12    10    21\n",
      "[42,]    24    25    33    11    10    12    14    23    22    23    15    13\n",
      "[43,]    20    23    19    12    24    24    25    29    28    15    12    15\n",
      "[44,]    19    21    23    33    31    27    30    30    25    22    21    18\n",
      "[45,]    25    30    34    26    27    26    30    23    12    14    17    16\n",
      "[46,]    29    28    32    32    41    35    30    11    21    32    44    20\n",
      "[47,]    34    30    28    36    33    28    27    21    27    29    13    14\n",
      "[48,]    35    23    26    21    16    17    11    29    20    16    10    10\n",
      "[49,]    12    15    28    15    11    41    41    32    27    15    12    13\n",
      "[50,]    26    37    32    15    59    60    32    17    23    11    14    19\n",
      "[51,]    33    47    48    43    41    55    28    27    27    17    16    17\n",
      "[52,]    30    58    49    50    43    40    33    32    24    17    18    16\n",
      "[53,]    45    62    60    42    38    40    45    35    24    17    20    20\n",
      "[54,]    68    65    52    37    35    34    48    35    20    16    17    30\n",
      "[55,]    44    47    39    33    38    37    51    37    21    23    23    23\n",
      "[56,]    35    29    35    35    34    40    51    41    16    15    14    11\n",
      "[57,]    35    33    37    39    38    45    44    22    14    10    12     9\n",
      "[58,]    33    38    37    38    49    58    36    14    14     8     7     7\n",
      "[59,]    39    39    39    44    52    34    25    14     8     6     6    10\n",
      "[60,]    39    34    45    43    70    43    14     8     7     6     8    12\n",
      "[61,]    45    45    34    23    21    20    14     9     6     8    10    13\n",
      "[62,]    27    19    20    23    21    17    10     5     6     7    13    13\n",
      "[63,]    20    20    21    21    19    16     9     7     5     9    12     9\n",
      "[64,]    26    23    21    20    18    14     8     4     4     6    12    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]    10    12    13\n",
      " [2,]    11    11    12\n",
      " [3,]     9    12    13\n",
      " [4,]     9    10    12\n",
      " [5,]     8    10    11\n",
      " [6,]     7     9    10\n",
      " [7,]     7     7     9\n",
      " [8,]     5     5     5\n",
      " [9,]     5     5     5\n",
      "[10,]    13    11    23\n",
      "[11,]    90   124   163\n",
      "[12,]   118   173   201\n",
      "[13,]   126   161   170\n",
      "[14,]    92   114   148\n",
      "[15,]    56    72    99\n",
      "[16,]    48    50    63\n",
      "[17,]    52    55    52\n",
      "[18,]    86    81    73\n",
      "[19,]    83    83    82\n",
      "[20,]    69    58    67\n",
      "[21,]    57    51    56\n",
      "[22,]    71    74    50\n",
      "[23,]    72    75    53\n",
      "[24,]    53    41    37\n",
      "[25,]    24    20    17\n",
      "[26,]    15    13     8\n",
      "[27,]    13     9     5\n",
      "[28,]    14    14    10\n",
      "[29,]    11    13    15\n",
      "[30,]    10    16    23\n",
      "[31,]     8     7    11\n",
      "[32,]    10    18    17\n",
      "[33,]    15    44    31\n",
      "[34,]    23    29    26\n",
      "[35,]    12    27    32\n",
      "[36,]    24    55    70\n",
      "[37,]    25    23    41\n",
      "[38,]    17    27    23\n",
      "[39,]    28    27    24\n",
      "[40,]    18    11    11\n",
      "[41,]    45    71    61\n",
      "[42,]    37    68    60\n",
      "[43,]    12    10     8\n",
      "[44,]    11    10    12\n",
      "[45,]    11    10    13\n",
      "[46,]    12    14    16\n",
      "[47,]    11    10    15\n",
      "[48,]    12    12    16\n",
      "[49,]    13    15    15\n",
      "[50,]    22    18    18\n",
      "[51,]    24    48    56\n",
      "[52,]    23    35    61\n",
      "[53,]    30    36    39\n",
      "[54,]    31    22    35\n",
      "[55,]    11    13    30\n",
      "[56,]    14    22    10\n",
      "[57,]     8    13    10\n",
      "[58,]    12     8    10\n",
      "[59,]    13    12    14\n",
      "[60,]    13    14    16\n",
      "[61,]    14    16    17\n",
      "[62,]    16    17    19\n",
      "[63,]    10    22    22\n",
      "[64,]     8     8    21\n",
      "\n",
      ", , 3, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   11   13   11   12   11   10   12   11   12    11    11    12    12\n",
      " [2,]   12   11   11   11   10   11   11   12   10    11    12    12    12\n",
      " [3,]   12   12   12   11   11   11   12   11   12    12    14    12    11\n",
      " [4,]   11   11   10   13   11   12   12   12   13    12    11    12    10\n",
      " [5,]   10   12   12   10   12   12   11   12   11    11    12    11    13\n",
      " [6,]   11   12   11   12   12   12   10   11   13    11    11    12    12\n",
      " [7,]   11   11   11   10   12   12   12   12   12    12    11    12    12\n",
      " [8,]   11   11   10   11   11   11   12   11   12    12    11    12    11\n",
      " [9,]   14   13   12   11   12   13   12   11   11    10    12    12    11\n",
      "[10,]   13   12   11   11   12   11   12   11   11    11    11     9     9\n",
      "[11,]   12   11   12   10   11   10   10   10    9     8     8     7     7\n",
      "[12,]   11   11   11   10   11   11   10    9    7     7     5     5     4\n",
      "[13,]   12   11   12   11    9    8    8    7    7     6     5     4     4\n",
      "[14,]   11   11   11   10    7    6    5    5    6     5     5     6     6\n",
      "[15,]   10   11   10    7    6    5    5    5    6     7     8    33    59\n",
      "[16,]   11    9    7    6    5    5    5    6   11    42    72    99   118\n",
      "[17,]    9    8    6    5    5    6   11   39   70   101   113   133   124\n",
      "[18,]    6    6    5    6    6   39   74  101  130   141   154   120   102\n",
      "[19,]    5    5    6   16   65  101  133  138  157   151   133    79   104\n",
      "[20,]    5    6   26   82  123  142  161  152  143   123    48    81    75\n",
      "[21,]    6   26   96  135  151  157  136  107   70    47    64    55    83\n",
      "[22,]   21   93  150  155  148  136  109   50   21    38    50    68    61\n",
      "[23,]   83  147  149  152  128  114   31   14   23    55    52    60    86\n",
      "[24,]  136  148  143   93   80   70   27   35   38    50    50    25    64\n",
      "[25,]  154  144  107   58   38   22   36   26   86    97    41    40    18\n",
      "[26,]  145  144   71   55   21   38   74   87   80    54    56    15    21\n",
      "[27,]  148  125  102   58   44   39   57   96   99    55    29    22    14\n",
      "[28,]  140  118  117   46   27   43   55   78   83    56    25    21    15\n",
      "[29,]  142  124   99  100   43   66   79   81   58    30    11    14    10\n",
      "[30,]  140  123  120   98   72   77   81   59   49    32    21    14     9\n",
      "[31,]  136  121  107   87   93   86   71   63   52    34    23    11     9\n",
      "[32,]  133  118   99  109   93   99   85   61   52    36    19    11    12\n",
      "[33,]  129  108   94  115   99   77   68   51   43    34    15    10    10\n",
      "[34,]  129  117  100  104   93   73   66   62   48    38    19    12    10\n",
      "[35,]  126  119   82   82   87   76   73   67   59    44    25    12    10\n",
      "[36,]  126  115   84   80   83   85   86   77   67    57    35    13    13\n",
      "[37,]  118  120   81   84   90   87   88   76   64    47    22    13    15\n",
      "[38,]  107  122   96   69   67   72   84   86   64    47    22    15    13\n",
      "[39,]   85  118  102   66   85   68   87   85   62    42    25    15    17\n",
      "[40,]   72  122  117   86   43   47   77   68   67    46    36    27    21\n",
      "[41,]   65  107  122  106   55   18   19   24   45    38    32    34    15\n",
      "[42,]   53   86  104   73   23   21   14   14   15    23    34    38    17\n",
      "[43,]   36   68  111   91   19   14   14   17   16    25    42    36    21\n",
      "[44,]   26   49  109  101   81   11   11   14   22    38    40    33    26\n",
      "[45,]   16   21   77  104   89   34   16   26   35    53    61    43    27\n",
      "[46,]   16   17   35   98   87   60   25   33   56    58    72    51    35\n",
      "[47,]   53   14   22   84   83   68   52   59   66    36    75    61    37\n",
      "[48,]   78   20   28   51   74   63   59   56   57    43    41    59    45\n",
      "[49,]   91   47   28   42   65   57   63   54   61    60    57    37    19\n",
      "[50,]  104   65   19   39   43   53   51   55   51    57    63    52    52\n",
      "[51,]  115   84   15   28   34   49   47   46   50    50    50    45    50\n",
      "[52,]  128   87   24   20   20   28   31   35   36    34    33    34    37\n",
      "[53,]  142   88   44   34   31   25   25   22   20    25    21    19    18\n",
      "[54,]  150   97   66   67   51   38   30   30   25    16    21    26    29\n",
      "[55,]  152  100   76   67   68   50   41   46   28    34    36    41    36\n",
      "[56,]  152  103   80   64   70   70   60   49   51    44    46    49    47\n",
      "[57,]  149   99   70   60   67   64   64   62   65    55    49    50    49\n",
      "[58,]  136   96   58   39   51   56   64   65   72    64    58    53    48\n",
      "[59,]  115   90   50   23   34   54   56   58   62    59    49    44    43\n",
      "[60,]   94   78   45   12   12   24   48   51   42    33    35    30    28\n",
      "[61,]   80   71   37   10    8   11   14   23   35    21    16    20    20\n",
      "[62,]   74   52   20    8    9    9    8    9   10    12    13    15    23\n",
      "[63,]   60   47   21   10    8    9    9    9    9    10     9     9    11\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    11    10    12    12    10     8     8     8     8    19    45    79\n",
      " [2,]    12    12    10    11    11     9     8     9     7     8     8     7\n",
      " [3,]    11    12    11    10     9    11     8    10     7     6     6     7\n",
      " [4,]    11    12    11    11    10    10     8     7     7     6     6     6\n",
      " [5,]    11    13    11    12    10     9     8     7     7     7     6     6\n",
      " [6,]    11    10    12    10    10     9     9     7     6     6     5     5\n",
      " [7,]    12    12    10    11    10     9     9     7     6     6     6     6\n",
      " [8,]    11    11    11    11     9     9     8     7     6     6     5     5\n",
      " [9,]    10     9     9     8     7     7     6     6     5     5     4     5\n",
      "[10,]     9     7     6     5     5     4     4     4     4     4     5     5\n",
      "[11,]     7     6     5     4     4     4     5     5     7     7    17    29\n",
      "[12,]     4     5     4     5     6     6    23    46    51    69    67    65\n",
      "[13,]     5     6     7    28    57    77    86   100    90   102    97    78\n",
      "[14,]    26    38    76    98   124   128   126   111    91    82    59    44\n",
      "[15,]    89   109   119   141   130   121   107    92    66    41    26    20\n",
      "[16,]   124   144   135   121   116   105    89    55    27    15    17    19\n",
      "[17,]   118    98   112   107    98    85    66    21    17    16    16    21\n",
      "[18,]   114    62    56    86    77    75    28    14    23    26    19    24\n",
      "[19,]    91    43    34    73    63    22    12    19    31    30    34    35\n",
      "[20,]    88    73    68    58    32    19    18    32    37    37    42    50\n",
      "[21,]    99    75    66    48    33    20    33    48    47    60    52    56\n",
      "[22,]    80    54    47    38    19    25    52    52    68    67    65    68\n",
      "[23,]    59    43    36    20    13    36    59    71    67    57    58    59\n",
      "[24,]    31    28    16     9     8    49    73    65    45    44    35    30\n",
      "[25,]    22    17     7     7     7    63    74    43    33    31    31    25\n",
      "[26,]    17    10     7     8     8    67    58    29    42    81    78    61\n",
      "[27,]    12     8     8     8     9    46    53    77    93    90    96    81\n",
      "[28,]     9     8     8     8     9    34    43    43   102   117   114   102\n",
      "[29,]     7     9     8     9    10    25    38    32    84   120   115    94\n",
      "[30,]     9     9     9     9     8    13    42    31    40    71    84    83\n",
      "[31,]     9    10     9     9     7    12    43    37    32    29    27    42\n",
      "[32,]    11     9     9     8     8    10    32    43    42    39    32    30\n",
      "[33,]    11     9     8     8     8     8     9    13    26    27    35    48\n",
      "[34,]    10    10     9     8     9     9     9     9    10    10    17    18\n",
      "[35,]    10    10    10    10    10    11    15    10    11     9    15    18\n",
      "[36,]    13    12    10    10    12    11    10    11     9    14    29    65\n",
      "[37,]    12    10     9    10    10    10    11     9    15    39    50    55\n",
      "[38,]    15    12    10    12    10     9    10    14    32    44    38    46\n",
      "[39,]    15    10    10    12    11    11    12    25    41    48    53    48\n",
      "[40,]    12    11    11    12    10    11    15    37    40    45    50    51\n",
      "[41,]    13    14    20    11    12    12    21    47    44    41    47    42\n",
      "[42,]    15    29    23    13    11    12    33    45    39    37    40    35\n",
      "[43,]    17    19    16    11    12    15    33    42    37    38    39    37\n",
      "[44,]    15    16    13    11    12    17    35    39    40    38    36    38\n",
      "[45,]    18    12    13    11    12    17    31    38    41    37    40    38\n",
      "[46,]    14    13    12    14    13    16    32    42    37    39    47    40\n",
      "[47,]    19    15    13    13    16    18    30    35    36    44    46    40\n",
      "[48,]    18    15    14    13    15    18    38    34    35    32    30    36\n",
      "[49,]    23    17    13    14    16    23    38    37    43    46    47    46\n",
      "[50,]    26    18    17    16    15    22    39    31    36    40    40    39\n",
      "[51,]    37    16    25    15    17    24    50    43    28    37    46    44\n",
      "[52,]    28    20    32    24    20    16    24    24    22    27    36    44\n",
      "[53,]    22    17    28    37    34    21    19    24    16    20    25    38\n",
      "[54,]    19    19    13    13    41    39    26    17    20    18    16    20\n",
      "[55,]    30    23    17    18    17    20    27    25    17    17    15    30\n",
      "[56,]    36    24    21    18    19    15    16    17    15    16    16    15\n",
      "[57,]    40    33    25    20    22    19    16    12    14    12    14    24\n",
      "[58,]    48    41    29    19    15    15    16    14    17    12    25    20\n",
      "[59,]    40    36    29    19    17    15    13    15    14    14    12    16\n",
      "[60,]    27    22    24    25    24    23    19    16    12    13    14    13\n",
      "[61,]    23    22    25    36    50    53    60    56    40    19    12    13\n",
      "[62,]    32    30    33    37    47    55    68    73    73    73    50    26\n",
      "[63,]    12    19    28    34    33    42    55    74    92    86    86    84\n",
      "[64,]     0     0     0     0     1     1     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]    98   117   130   148   146   146   141   149   151   151   146   157\n",
      " [2,]    22    39    63    93   109   117   127   130   130   133   135   137\n",
      " [3,]     7     7     7     9    24    46    79   103   129   143   144   151\n",
      " [4,]     6     6     6     7     7     8     8     7     7    12    19    21\n",
      " [5,]     6     6     6     6     6     6     6     6     6     6     7     8\n",
      " [6,]     6     6     5     6     6     5     6     5     6     5     6     6\n",
      " [7,]     6     6     5     5     6     5     5     6     6     5     5     6\n",
      " [8,]     5     6     5     8     8    14     7     5     7     8     9    19\n",
      " [9,]     5     5     5     4     8    10     8     9    20    35    32    28\n",
      "[10,]     7     6     6     8    11    18    14    49    51    39    28    21\n",
      "[11,]    40    40    40    29    20    18    46    72    76    55    26    38\n",
      "[12,]    64    54    49    44    39    35    62    81    72    34    95    89\n",
      "[13,]    67    49    27    22    24    21    33    38    15    50    64    72\n",
      "[14,]    24    20    20    23    19    19    17    17    18    19    39    26\n",
      "[15,]    19    27    28    19    17    22    19    17    23    25    28    24\n",
      "[16,]    20    30    28    26    16    19    22    17    29    40    51    50\n",
      "[17,]    19    16    22    27    28    30    27    33    43    58    53    61\n",
      "[18,]    26    31    37    49    55    54    54    53    67    78    75    78\n",
      "[19,]    41    47    48    52    63    68    73    57    78   103    88    96\n",
      "[20,]    52    67    69    74    74    76    95   101   104   104    93    85\n",
      "[21,]    74    73    68    73    58    67    90    98   105   111    93    70\n",
      "[22,]    89    80    73    62    39    91    92    96   108   114    83    32\n",
      "[23,]    67    72    85    89    87    87    90    95   102    99    32    12\n",
      "[24,]    32    41    66    78    79    86    76    88    85    36    13     8\n",
      "[25,]    21    25    35    58    61    56    77    64    19    14    10     6\n",
      "[26,]    52    29    24    40    75    72    37    17    13    10     7     7\n",
      "[27,]    64    39    22    24    34    28    46    22    15     8     6     7\n",
      "[28,]    89    45    29    39    73    94     6    16     9     8     7     8\n",
      "[29,]    86    52    28    56    84     5     7     8     7     7     7     9\n",
      "[30,]    57    26    21    42     7     8     7     7     8     8     9    10\n",
      "[31,]    23    17    15    13    10     8     8     8     9    11    10     8\n",
      "[32,]    29    20    15    12     8     8     9     9     9    11    10    10\n",
      "[33,]    32    12    16    10     9    10    10    10     9     8    10    10\n",
      "[34,]    11    11    31    19    19    22    14    12    13    13    12    15\n",
      "[35,]    41    49    47    40    39    23    24    20    19    22    29    14\n",
      "[36,]    60    50    49    43    34    30    33    25    23    31    25    31\n",
      "[37,]    44    42    43    29    32    33    29    24    22    19    21    38\n",
      "[38,]    29    40    45    29    26    33    21    20    15    15    13    18\n",
      "[39,]    35    39    40    34    30    20    19    16    18    16    12    13\n",
      "[40,]    47    35    37    30    26    19    19    17    12    17    20    17\n",
      "[41,]    39    36    34    40    32    28    20    33    15    16    24    29\n",
      "[42,]    42    37    37    35    45    44    31    26    20    22    32    34\n",
      "[43,]    42    36    33    36    30    20    16    21    28    34    32    25\n",
      "[44,]    38    34    34    30    19    15    22    25    29    20    25    26\n",
      "[45,]    37    34    35    34    20    22    24    25    25    21    22    21\n",
      "[46,]    41    38    41    35    22    19    16    23    27    18    19    16\n",
      "[47,]    37    33    21    24    20    25    20    28    25    19    23    29\n",
      "[48,]    34    26    23    27    23    30    33    30    36    27    26    29\n",
      "[49,]    31    25    32    25    26    42    34    37    36    28    26    37\n",
      "[50,]    29    29    25    28    40    33    32    32    27    33    33    37\n",
      "[51,]    36    33    30    37    35    36    40    37    42    34    35    39\n",
      "[52,]    40    39    32    32    40    41    39    39    39    40    31    25\n",
      "[53,]    35    37    43    36    36    30    23    21    21    27    18    19\n",
      "[54,]    35    12    16    18    19    19    23    28    29    12    62    28\n",
      "[55,]    29    35    35    35    34    33    33    33    35    35    19    34\n",
      "[56,]    20    28    29    33    34    31    35    36    37    33    36    23\n",
      "[57,]    12    14    19    27    32    30    34    35    33    34    36    35\n",
      "[58,]    42    19    18    15    24    32    32    36    34    35    36    34\n",
      "[59,]    38    64    37    22    11    22    29    31    33    34    35    34\n",
      "[60,]    11    22    67    69    42    15    15    25    33    34    35    34\n",
      "[61,]    11    10    10    20    75    88    56    16    14    19    22    23\n",
      "[62,]    16    11     9     9     8     7    51    60    31    24    10    10\n",
      "[63,]    76    37    20    10    10    16    25     8    13    37    49    48\n",
      "[64,]     0    43    51    60    45    11     7    10    11    20    25    19\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   144   144   152   158   152   133   152   152   148   150   157   174\n",
      " [2,]   130   135   141   138   140   142   144   149   154   161   173   167\n",
      " [3,]   149   154   154   153   154   160   156   147   110    52    23    15\n",
      " [4,]    38    41    53    37    18    12    13    12    12     9     6     6\n",
      " [5,]     8    10    10     9     8     6     6     6     6     5     5     5\n",
      " [6,]     6     5     6     6     6     5     6     6     5     6     5     5\n",
      " [7,]     8     8     8     8     9    10    10    10    10    10    10     6\n",
      " [8,]    26    28    33    34    31    28    21    23    23    34    25    11\n",
      " [9,]    24    24    23    24    25    27    26    35    49    71    78    72\n",
      "[10,]    25    32    40    45    44    28    35    69    82   105   100   112\n",
      "[11,]    50    45    45    36    18    29    45    64    90    95   115   128\n",
      "[12,]    66    46    28    14    12    21    33    37    37    42    49    60\n",
      "[13,]    73    37    18    13    14     9    11    13    11    11     9    10\n",
      "[14,]    19    32    14    12    12     9    11    13    12    15    16    14\n",
      "[15,]    24    21    13    10    15    13    12    14    16    15    10    14\n",
      "[16,]    35    29    30    23    11    22    38    51    59    58    25    14\n",
      "[17,]    64    48    39    31    19    45    55    72    71    64    66    71\n",
      "[18,]    76    73    56    35    17    18    15    20    34    35    35    38\n",
      "[19,]    79    90    32    18    10     7     5     5     6     6     5     6\n",
      "[20,]    84    29     9     8     6     5     4     4     4     4     4     4\n",
      "[21,]    32    13     6     4     5     4     4     4     4     4     5     4\n",
      "[22,]    10    11     6     5     4     4     5     5     5     5     5     5\n",
      "[23,]    10     8     6     6     7     7     7     7     7     7     8     8\n",
      "[24,]     8     7     6     6     7     9     9     9     9    10    10    10\n",
      "[25,]     6     7     7     7     8     9    10     9     9    10    10    10\n",
      "[26,]     7     8     8     9     8    10     9    10    11     9    10     9\n",
      "[27,]     8     8     9    10    10    10    10    10    10    10    10    10\n",
      "[28,]     8    10    10    10     9    10     9    10    10    10     9     9\n",
      "[29,]     9     9     9    10     9    11    11     9    10    12    10    10\n",
      "[30,]     9    11    10     9     8    10     9     9     9    10    10    11\n",
      "[31,]     8     8     9    10     9     9     9    10     9    10     9     9\n",
      "[32,]     9    10    10     9     8     9    10     8     8    11     9     9\n",
      "[33,]    10    10     9     9     9     9     9     9     9     8     9     9\n",
      "[34,]    15    17    17    14    15    13    13    11    12    14    15    20\n",
      "[35,]    36    17    20    38    32    23    20    28    23    21    22    23\n",
      "[36,]    35    23    27    45    52    43    32    25    33    39    21    18\n",
      "[37,]    30    25    26    28    35    37    40    32    36    41    29    16\n",
      "[38,]    21    29    28    27    28    31    36    36    34    16    26    34\n",
      "[39,]    15    20    25    21    20    34    34    33    44    15    21    28\n",
      "[40,]    18    15    18    15    18    27    29    37    36    34    34    43\n",
      "[41,]    24    19    17    19    30    34    31    37    14    34    34    29\n",
      "[42,]    31    31    23    25    31    32    33    33    31    31    37    35\n",
      "[43,]    15    23    31    34    36    35    29    18    43    45    38    24\n",
      "[44,]    26    27    31    32    35    29    17    44    50    48    34    23\n",
      "[45,]    21    23    20    32    32    17    34    44    54    47    39    37\n",
      "[46,]    18    24    21    32    14    28    37    49    55    50    51    40\n",
      "[47,]    27    20    40    26    27    15    40    50    57    55    48    45\n",
      "[48,]    33    40    34    16    28    23    17    38    47    53    49    41\n",
      "[49,]    42    33    21    18    34    21    14    14    22    22    14    12\n",
      "[50,]    37    27    17    46    35    19    14    12    25    46    42    36\n",
      "[51,]    28    20    35    51    39    12    26    37    36    34    28    34\n",
      "[52,]    43    53    32    55    47    17    34    35    31    29    30    34\n",
      "[53,]    27    14    40    53    42    24    40    30    29    27    27    30\n",
      "[54,]    30    27    46    51    42    36    38    39    34    29    33    44\n",
      "[55,]    27    34    54    57    34    38    37    36    35    37    42    33\n",
      "[56,]    26    45    52    56    25    36    36    32    37    33    38    42\n",
      "[57,]    31    36    14    54    30    37    38    39    36    37    38    36\n",
      "[58,]    34    36    32    13    31    36    40    38    36    39    36    34\n",
      "[59,]    34    35    35    32    27    38    40    38    40    38    40    38\n",
      "[60,]    34    35    32    27    51    19    37    40    41    40    40    38\n",
      "[61,]    17    24    27    40    64    44    35    23    42    37    32    39\n",
      "[62,]     9    20    32    52    66    75    65    38    30    53    50    41\n",
      "[63,]    42    24    11    11    14    14     9     9    11    11    16    32\n",
      "[64,]    17    13    16    20    20    25    30    24    13    14    24    25\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   182   203   165   117    26    18    16     7     7     7     7     9\n",
      " [2,]    96    35    13    12     7     6     5     6     6     6     7     8\n",
      " [3,]    12     9     6     5     6     6     6     6     6     6     7     9\n",
      " [4,]     6     6     6     5     6     5     6     6     6     6     8     8\n",
      " [5,]     6     5     5     6     5     5     5     5     6     7     7     7\n",
      " [6,]     5     5     5     5     4     5     4     5     5     5     5     6\n",
      " [7,]     5     5     4     4     4     5     4     4     4     4     5     5\n",
      " [8,]     7     7     6     5     5     5     4     4     4     4     4     4\n",
      " [9,]    57    43    29    18    13     9     8     5     5     7     8     7\n",
      "[10,]   104    92    80    81    81    76    66    69    56    41    26    15\n",
      "[11,]   145   145   145   139   129   128   116    86    45    26    42    65\n",
      "[12,]    78    92   100   106   114   115    96    74    27    34    61    87\n",
      "[13,]    11    16    18    24    34    38    35    28    16    41    69    89\n",
      "[14,]    12     9    10     9     9     9     9    13    37    52    62    77\n",
      "[15,]    15    15    14    17    17    15    17    14    18    23    29    42\n",
      "[16,]    13    12     9     9    10    10    12     9    11    16    25    36\n",
      "[17,]    54    34    26    18    13     8     7     8    11    19    32    40\n",
      "[18,]    43    47    38    27    25    27    38    34    13    37    64    81\n",
      "[19,]     6     7    13    25    29    26    26    24    16    52    71    79\n",
      "[20,]     5     5     5     6     6    10    16    21    25    42    54    70\n",
      "[21,]     4     4     4     4     5     6     9    13    49    63    65    62\n",
      "[22,]     5     5     5     5     5     5     6    10    19    39    53    60\n",
      "[23,]     7     7     7     6     5     5     4     5     8    18    23    44\n",
      "[24,]     9     9     8     7     6     5     5     5     8    12     9    36\n",
      "[25,]    10     9     8     7     7     7     6     6     6    11    15    27\n",
      "[26,]     9     9     9     8     7     7     7     6     7     9    16    11\n",
      "[27,]     9     9     9     9     8     8     7     7     8    15    10     8\n",
      "[28,]     9    10     9     8     8     9     9     9     7    23    10    12\n",
      "[29,]     9    10     8     9     8     8     9     8    10    26    17    19\n",
      "[30,]     8     8     9     8     8     8     8     7    18    42    44    14\n",
      "[31,]     9     9     9     9     9     8     9     9    25    62    48    19\n",
      "[32,]     9     8     9     8    10     9     8    18    52   101    34    14\n",
      "[33,]    10     9     8     8     8    10    18    33    59    83    31    10\n",
      "[34,]    16    16    12    12    16    34    35    25    40    37    13    25\n",
      "[35,]    29    30    20    16    34    51    13    14    17    24    21    17\n",
      "[36,]    13    10    14    30    49    28    32    28    20    22    27    16\n",
      "[37,]    30    13    28    26    30    26    20    18    45    32    40    49\n",
      "[38,]    33    29    15    21    33    23    13    19    46    36    16    15\n",
      "[39,]    21    14    18    11    14    13    31    33    33    13    14    12\n",
      "[40,]    37    27    28    28    34    20    19    13    11    15    14    19\n",
      "[41,]    20    18    22    18    23    18    11    18    15    13    11    22\n",
      "[42,]    26    24    30    11    10    10    14    23    21    19    12    13\n",
      "[43,]    22    22    17    15    23    22    23    31    25    15    11    15\n",
      "[44,]    19    22    25    32    34    27    27    26    28    22    21    19\n",
      "[45,]    25    29    32    27    24    26    27    24    13    15    19    16\n",
      "[46,]    29    26    32    30    37    31    34    12    23    32    44    20\n",
      "[47,]    34    28    24    32    33    30    27    19    28    27    14    14\n",
      "[48,]    34    23    26    23    19    18    13    29    19    14    11    10\n",
      "[49,]    13    18    28    17    13    41    44    33    27    16    12    11\n",
      "[50,]    29    39    30    16    64    60    32    15    24    14    14    18\n",
      "[51,]    32    44    46    40    42    53    29    26    27    18    17    16\n",
      "[52,]    28    55    50    51    43    41    32    31    22    16    16    16\n",
      "[53,]    43    64    60    42    37    40    45    37    24    20    20    21\n",
      "[54,]    66    63    54    42    36    34    47    34    23    17    16    29\n",
      "[55,]    46    48    41    32    35    34    52    37    21    19    22    24\n",
      "[56,]    33    30    36    36    36    40    51    43    17    14    14    12\n",
      "[57,]    32    34    37    37    38    45    44    21    11    10    11     9\n",
      "[58,]    35    38    36    40    48    59    35    15    15     8     7     8\n",
      "[59,]    37    38    37    45    52    35    25    14     8     6     7    10\n",
      "[60,]    38    33    47    42    71    42    15     8     6     6     7    11\n",
      "[61,]    45    46    35    24    22    21    17    10     6     7    11    13\n",
      "[62,]    28    18    20    22    22    17    11     6     5     6    13    14\n",
      "[63,]    21    21    24    22    18    17    10     7     6     8    12     9\n",
      "[64,]    27    23    21    20    19    15     7     4     3     6    12    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]     9    11    12\n",
      " [2,]    11    11    13\n",
      " [3,]    10    11    11\n",
      " [4,]     8    10    11\n",
      " [5,]     9    10    10\n",
      " [6,]     8     8    10\n",
      " [7,]     6     7     8\n",
      " [8,]     4     5     5\n",
      " [9,]     7     5     5\n",
      "[10,]    13     9    23\n",
      "[11,]    91   124   164\n",
      "[12,]   119   169   201\n",
      "[13,]   126   161   169\n",
      "[14,]    92   113   148\n",
      "[15,]    56    71    99\n",
      "[16,]    48    51    63\n",
      "[17,]    51    54    51\n",
      "[18,]    86    82    72\n",
      "[19,]    82    82    81\n",
      "[20,]    69    59    67\n",
      "[21,]    57    50    55\n",
      "[22,]    70    73    51\n",
      "[23,]    73    76    54\n",
      "[24,]    52    43    37\n",
      "[25,]    23    21    16\n",
      "[26,]    15    14     7\n",
      "[27,]    14    10     6\n",
      "[28,]    15    13     7\n",
      "[29,]     9    14    16\n",
      "[30,]    10    15    22\n",
      "[31,]    10     8    10\n",
      "[32,]    12    18    16\n",
      "[33,]    15    46    28\n",
      "[34,]    22    26    23\n",
      "[35,]    12    29    30\n",
      "[36,]    25    55    74\n",
      "[37,]    24    21    43\n",
      "[38,]    18    24    23\n",
      "[39,]    25    22    22\n",
      "[40,]    17    12    11\n",
      "[41,]    47    71    63\n",
      "[42,]    40    74    57\n",
      "[43,]    13    10     9\n",
      "[44,]    11    11    12\n",
      "[45,]    12    11    13\n",
      "[46,]    11    10    14\n",
      "[47,]    11    13    16\n",
      "[48,]    13    12    15\n",
      "[49,]    12    14    16\n",
      "[50,]    24    15    18\n",
      "[51,]    23    47    55\n",
      "[52,]    21    34    61\n",
      "[53,]    31    35    39\n",
      "[54,]    32    24    32\n",
      "[55,]    12    12    31\n",
      "[56,]    13    23    10\n",
      "[57,]     8    12    11\n",
      "[58,]    12     9    12\n",
      "[59,]    13    12    14\n",
      "[60,]    14    14    15\n",
      "[61,]    13    16    16\n",
      "[62,]    15    17    18\n",
      "[63,]    10    21    22\n",
      "[64,]     9     9    22\n",
      "\n",
      ", , 4, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   10   11   10   11   11   12   11   12   12    12    12    12    11\n",
      " [2,]   10   11   11   12   12   13   11   11   11    10    12    12    11\n",
      " [3,]   12   11   10   11   11   10   12   12   11    12    10    11    12\n",
      " [4,]   10   11   11   10   12   12   11   12   13    11    11    11    10\n",
      " [5,]   12   12   12   12   11   12   11   12   13    11    11    12    12\n",
      " [6,]   11   11   11   11   11   12   11   10   11    11    11    12    12\n",
      " [7,]   13   11   10   12   12   12   12   12   12    12    10    11    11\n",
      " [8,]   13   12   11   11   11   11   13   12   11    12    11    12    11\n",
      " [9,]   11   12   10   12   12   10   12   10   10    10    11    10    11\n",
      "[10,]   11   11   12   12   10   10   13   12   11    12    10    10     9\n",
      "[11,]   11   10   11   11   11   11   12   10   10     8     8     7     8\n",
      "[12,]   12   11   11   11    9   12   10    9    8     7     5     5     5\n",
      "[13,]   10   11   12   12    9    8    8    7    7     6     4     4     4\n",
      "[14,]   12   11   11    9    8    6    5    5    5     4     5     6     6\n",
      "[15,]   11   10    9    7    7    6    5    5    5     6     9    32    56\n",
      "[16,]   11    8    7    5    5    5    5    7   11    42    72    97   119\n",
      "[17,]    9    7    5    5    4    6   10   41   71   101   112   136   125\n",
      "[18,]    6    6    5    6    6   39   74  101  131   141   151   119   100\n",
      "[19,]    6    6    6   15   63  101  133  138  157   149   132    77   103\n",
      "[20,]    5    6   26   82  122  142  160  154  144   124    48    78    75\n",
      "[21,]    6   26   96  135  150  157  135  104   69    48    62    55    82\n",
      "[22,]   20   93  152  156  148  137  110   51   19    38    49    68    58\n",
      "[23,]   84  148  149  147  130  115   33   14   23    54    51    60    86\n",
      "[24,]  137  151  143   95   80   72   26   35   38    51    52    22    64\n",
      "[25,]  155  145  109   60   39   21   36   27   84    98    43    36    19\n",
      "[26,]  145  145   74   55   20   37   75   88   82    54    56    13    21\n",
      "[27,]  146  128  105   61   45   38   56   93   98    56    31    23    16\n",
      "[28,]  142  119  118   48   27   45   55   79   83    57    23    22    15\n",
      "[29,]  143  124   98  100   45   64   76   81   64    27    11    14    11\n",
      "[30,]  139  121  118   99   69   78   81   58   51    30    22    13    10\n",
      "[31,]  134  122  106   86   90   86   72   64   52    35    24    13    10\n",
      "[32,]  133  118   97  108   91   98   85   60   52    35    18    10    10\n",
      "[33,]  130  106   95  115  100   82   69   50   45    36    15    11     9\n",
      "[34,]  131  118  100  102   93   71   66   61   50    37    17    10    10\n",
      "[35,]  124  118   84   82   84   75   75   70   56    44    28    14    10\n",
      "[36,]  126  117   81   81   79   87   89   78   66    54    32    13    13\n",
      "[37,]  120  120   83   85   89   87   90   77   64    46    26    14    14\n",
      "[38,]  106  122   97   74   71   71   82   83   64    48    23    19    11\n",
      "[39,]   84  117  101   63   82   66   83   84   59    41    24    13    17\n",
      "[40,]   72  121  121   88   43   45   81   70   67    48    33    25    22\n",
      "[41,]   64  107  123  105   58   20   20   23   46    36    34    36    16\n",
      "[42,]   48   86  106   76   23   19   17   14   18    23    34    37    16\n",
      "[43,]   38   64  112   86   20   14   14   16   15    24    40    36    24\n",
      "[44,]   24   46  107  105   85   12   13   17   21    39    42    31    22\n",
      "[45,]   13   22   76  103   87   32   16   27   35    53    62    45    30\n",
      "[46,]   16   17   34   97   86   63   28   34   57    61    74    53    34\n",
      "[47,]   52   16   24   83   84   65   51   61   66    35    74    66    39\n",
      "[48,]   79   21   26   51   75   65   60   60   56    43    45    57    46\n",
      "[49,]   93   51   27   42   63   57   59   51   63    56    50    35    23\n",
      "[50,]  106   68   21   37   42   54   53   53   54    56    61    53    51\n",
      "[51,]  117   84   13   27   33   50   46   48   50    52    48    41    44\n",
      "[52,]  130   91   24   17   20   28   35   36   30    33    34    35    37\n",
      "[53,]  145   90   49   32   29   26   25   22   21    25    18    17    18\n",
      "[54,]  152   99   69   63   51   37   35   28   24    17    23    26    28\n",
      "[55,]  150  102   79   69   68   50   45   45   29    34    36    43    39\n",
      "[56,]  154  104   79   65   69   70   58   52   49    40    47    48    48\n",
      "[57,]  150  100   70   57   64   65   64   64   65    52    50    50    49\n",
      "[58,]  134   97   59   38   52   59   62   65   72    65    60    52    50\n",
      "[59,]  118   89   52   23   37   51   55   53   62    55    49    47    43\n",
      "[60,]   94   77   44   13   13   24   47   51   41    32    33    31    26\n",
      "[61,]   79   72   36    9    9   10   14   24   32    21    16    16    19\n",
      "[62,]   75   50   22    9    9    9    9    8   10    11    14    14    21\n",
      "[63,]   59   49   19    9    8    8    8    9    9     9     9     8    10\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    10    11    12     9    10    10     8     8     8    17    48    81\n",
      " [2,]    13    12    12    11    12    10     9     8     8     7     8     7\n",
      " [3,]    13    12    11    11    10     9     8     8     7     8     7     7\n",
      " [4,]    12    12    11    10    10     9     9     7     7     6     6     7\n",
      " [5,]    11    11    11    11    10    10     9     8     6     6     6     6\n",
      " [6,]    13    11    11    10    11     9     8     7     6     7     6     5\n",
      " [7,]    11    11    12    11    11     9     9     7     6     7     6     5\n",
      " [8,]    12    11    11    10     8     8     7     6     6     6     6     5\n",
      " [9,]    10     9     8     8     6     6     6     5     5     5     5     4\n",
      "[10,]     8     7     6     5     4     5     5     4     4     4     4     5\n",
      "[11,]     7     6     5     4     4     4     5     7     7     6    18    28\n",
      "[12,]     5     5     4     6     6     5    23    46    50    68    67    64\n",
      "[13,]     5     7     7    26    56    77    85    98    92   100    97    77\n",
      "[14,]    26    38    76    97   123   127   124   110    90    80    58    43\n",
      "[15,]    88   109   119   140   130   119   105    90    67    40    27    19\n",
      "[16,]   123   141   135   119   115   102    88    55    26    17    17    18\n",
      "[17,]   116    98   110   107    97    85    64    20    18    17    16    20\n",
      "[18,]   113    62    56    83    74    72    29    14    23    26    20    25\n",
      "[19,]    91    45    32    72    63    21    11    19    30    30    40    38\n",
      "[20,]    86    72    68    55    33    17    18    33    37    39    45    50\n",
      "[21,]    98    75    66    47    30    17    32    48    45    66    55    56\n",
      "[22,]    81    54    46    37    16    21    53    55    65    69    66    70\n",
      "[23,]    59    44    36    18    11    30    58    73    67    57    62    65\n",
      "[24,]    31    27    16     8     8    38    76    63    44    43    36    32\n",
      "[25,]    21    16     7     8     7    51    76    42    31    32    26    22\n",
      "[26,]    18     9     8     8     8    58    60    28    31    63    72    52\n",
      "[27,]    11     7     7     8     9    39    49    65    89    95    88    74\n",
      "[28,]     8     9     7     8    10    31    41    35    86   113   111   102\n",
      "[29,]     9     8     8     9     9    24    43    31    63   105   109    93\n",
      "[30,]     9     8     9    10     8    15    46    36    34    39    53    57\n",
      "[31,]     9     9     9     8     7     9    47    41    34    27    27    31\n",
      "[32,]    10    10     9     7     8     8    25    46    49    40    35    35\n",
      "[33,]    11     8     9     8     8     9     9    10    17    24    29    58\n",
      "[34,]    10     9     8     8     9     9     9     9    10    10    14     7\n",
      "[35,]    12    10    10    10    10     9    13     9    10    11    12    17\n",
      "[36,]    15    12    10    11    10    10    10     9    11    17    36    68\n",
      "[37,]    11     9     9    11    10     9    11    10    16    38    44    55\n",
      "[38,]    13    12    10    12    10    10    11    16    31    43    37    42\n",
      "[39,]    15    12    11    11    10    11    13    25    45    47    54    46\n",
      "[40,]    14    11    13    11    10    10    17    40    40    44    47    48\n",
      "[41,]    13    14    23    11    10    12    24    51    40    36    47    43\n",
      "[42,]    15    29    28    14    10    12    33    44    39    39    42    40\n",
      "[43,]    15    19    13    11    12    12    32    40    42    41    39    36\n",
      "[44,]    15    13    14    12    11    16    35    43    40    38    38    41\n",
      "[45,]    14    14    14    12    14    17    31    37    40    34    36    36\n",
      "[46,]    14    12    14    12    14    17    32    41    35    38    45    45\n",
      "[47,]    21    15    14    17    16    16    31    34    34    45    46    38\n",
      "[48,]    19    15    15    15    17    20    40    39    36    31    31    36\n",
      "[49,]    20    14    15    16    14    22    38    42    41    48    42    44\n",
      "[50,]    25    15    19    15    18    21    40    30    35    42    39    39\n",
      "[51,]    35    17    24    16    17    24    49    43    28    40    44    42\n",
      "[52,]    28    22    32    25    17    18    24    27    22    27    38    42\n",
      "[53,]    19    16    26    36    33    19    20    19    15    19    27    34\n",
      "[54,]    19    19    13    13    42    35    25    18    16    19    17    17\n",
      "[55,]    29    24    17    19    15    16    28    24    20    17    15    29\n",
      "[56,]    38    25    22    19    19    15    16    19    16    14    16    17\n",
      "[57,]    38    31    22    18    20    17    15    13    14    16    14    23\n",
      "[58,]    47    39    29    18    17    16    16    16    15    12    21    20\n",
      "[59,]    41    36    30    17    16    15    15    15    15    15    11    15\n",
      "[60,]    28    22    23    23    24    23    19    15    13    12    13    13\n",
      "[61,]    22    21    25    38    49    52    57    58    44    22    12    12\n",
      "[62,]    28    31    33    37    46    54    69    72    76    74    53    25\n",
      "[63,]    11    18    27    33    32    42    57    74    91    85    85    82\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]    99   114   126   147   147   148   141   149   152   153   147   156\n",
      " [2,]    21    38    64    94   110   119   126   131   130   132   137   137\n",
      " [3,]     7     7     7     8    22    44    78   103   129   143   147   152\n",
      " [4,]     6     6     7     6     7     8     8     8     7    10    18    21\n",
      " [5,]     6     6     6     6     6     6     6     6     6     6     7     7\n",
      " [6,]     5     6     6     5     5     6     5     6     7     5     6     6\n",
      " [7,]     5     6     5     6     6     5     6     7     5     6     6     7\n",
      " [8,]     6     5     5     8     8    13     7     6     7     8     9    19\n",
      " [9,]     4     5     4     4     8    10     8     8    20    35    32    28\n",
      "[10,]     6     6     6     8    12    18    14    47    52    40    28    22\n",
      "[11,]    37    39    40    28    20    19    45    72    76    57    25    38\n",
      "[12,]    64    53    49    43    38    36    61    79    73    33    95    89\n",
      "[13,]    66    48    27    22    24    21    32    39    15    51    64    73\n",
      "[14,]    25    19    20    22    20    18    17    17    19    19    36    26\n",
      "[15,]    18    26    28    18    18    23    19    16    23    24    27    24\n",
      "[16,]    19    30    26    26    15    19    22    20    30    40    51    49\n",
      "[17,]    20    16    21    29    30    29    27    33    44    62    55    66\n",
      "[18,]    25    30    40    53    58    58    55    54    66    76    76    78\n",
      "[19,]    43    47    45    50    59    67    69    58    75    90    80    92\n",
      "[20,]    53    63    67    73    72    79    90    92   102   105    85    90\n",
      "[21,]    72    70    71    67    60    61    88    98   106   107    80    66\n",
      "[22,]    88    78    73    67    35    90    90    93   100   110    74    33\n",
      "[23,]    66    70    82    89    88    87    87    94    99    92    33    11\n",
      "[24,]    30    44    70    80    80    87    80    89    84    31    15     8\n",
      "[25,]    19    24    37    60    61    65    82    66    20    14    11     7\n",
      "[26,]    37    25    22    43    77    74    36    18    12    10     7     7\n",
      "[27,]    55    32    21    26    36    30    42    27    14     9     7     8\n",
      "[28,]    83    37    27    35    70    96     6    17     9     7     9     8\n",
      "[29,]    77    36    26    60    81     5     8     7     8     8     7     9\n",
      "[30,]    29    19    25    39    11     7     8     8     8     8    10     8\n",
      "[31,]    20    20    13    15     9     8     7     9     9     8    10    11\n",
      "[32,]    37    19    16    11     9     9     9    10     9     8     9     9\n",
      "[33,]    21    12    14     9     9     9     9    10     9    10     9    11\n",
      "[34,]    12    19    29    19    17    17    14    11    11    14    11    15\n",
      "[35,]    48    47    43    35    34    22    22    20    19    21    27    17\n",
      "[36,]    58    49    50    43    34    29    32    22    27    32    23    34\n",
      "[37,]    43    42    43    32    31    34    30    25    23    20    22    35\n",
      "[38,]    30    35    43    30    27    29    19    19    15    13    13    16\n",
      "[39,]    37    36    37    33    32    16    17    14    15    16    13    15\n",
      "[40,]    42    35    36    35    25    20    20    21    14    21    19    15\n",
      "[41,]    42    38    33    38    36    30    23    34    17    16    25    26\n",
      "[42,]    47    36    37    40    46    44    29    22    19    19    29    33\n",
      "[43,]    35    36    38    39    28    18    14    27    28    30    36    24\n",
      "[44,]    40    36    33    28    18    13    23    32    29    22    23    26\n",
      "[45,]    34    36    35    37    22    22    25    28    29    22    22    19\n",
      "[46,]    42    41    39    34    24    20    18    23    27    17    20    15\n",
      "[47,]    38    34    21    23    19    25    21    24    25    19    24    32\n",
      "[48,]    34    27    27    24    24    32    37    34    37    26    27    30\n",
      "[49,]    34    29    29    26    29    40    34    37    37    27    27    34\n",
      "[50,]    26    30    26    27    40    34    32    33    29    32    34    38\n",
      "[51,]    37    32    27    39    36    34    39    35    40    34    38    37\n",
      "[52,]    41    41    37    32    37    42    39    38    41    39    28    26\n",
      "[53,]    32    39    40    39    37    30    24    21    21    25    16    18\n",
      "[54,]    34    11    18    18    17    21    25    30    28    15    60    27\n",
      "[55,]    30    34    34    36    33    33    35    35    34    35    22    33\n",
      "[56,]    17    29    34    32    34    33    34    36    36    34    34    22\n",
      "[57,]    13    16    23    30    32    31    31    36    34    36    34    34\n",
      "[58,]    43    20    17    15    25    32    33    33    35    35    35    35\n",
      "[59,]    41    65    39    19    11    23    31    35    34    31    33    35\n",
      "[60,]    11    25    69    69    46    20    14    24    32    37    35    34\n",
      "[61,]    11    11     9    21    77    83    54    17    16    19    19    21\n",
      "[62,]    18    10     9     9     9     6    49    60    33    24    10     9\n",
      "[63,]    76    39    19    11    10    16    26    10    11    39    49    47\n",
      "[64,]     0    45    52    61    44    10     9     8    13    20    27    20\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   144   144   153   157   151   133   153   150   151   151   157   176\n",
      " [2,]   132   138   143   139   135   144   144   150   154   162   171   168\n",
      " [3,]   152   152   156   154   158   160   155   147   108    49    22    16\n",
      " [4,]    37    41    52    36    18    11    11    12    12     9     7     7\n",
      " [5,]     9    10     9     9     8     7     7     6     6     6     5     5\n",
      " [6,]     6     6     5     6     6     7     6     6     5     6     5     5\n",
      " [7,]     8     8     8     9     9    10     9    10     9     9    10     5\n",
      " [8,]    25    28    34    33    30    29    22    23    23    35    25    11\n",
      " [9,]    25    25    22    26    25    26    26    35    48    71    78    74\n",
      "[10,]    24    31    40    45    44    29    35    70    83   105   100   112\n",
      "[11,]    51    44    43    36    18    30    46    67    92    96   114   128\n",
      "[12,]    65    48    29    14    12    19    33    36    39    43    50    60\n",
      "[13,]    73    38    20    13    13    10     9    12    11    11    10     9\n",
      "[14,]    20    31    15    13    13     9    12    14    12    15    15    13\n",
      "[15,]    23    20    13    10    15    12    11    15    15    13    10    14\n",
      "[16,]    35    28    30    24    13    23    37    51    59    57    26    16\n",
      "[17,]    68    47    37    31    18    43    53    72    70    63    66    70\n",
      "[18,]    84    75    55    34    15    17    15    21    35    37    37    39\n",
      "[19,]    82    90    29    18    11     6     5     5     6     5     5     6\n",
      "[20,]    89    27     9     8     4     4     5     4     4     4     4     5\n",
      "[21,]    30    14     7     5     4     4     4     4     4     4     4     4\n",
      "[22,]    11    10     5     5     5     5     5     5     5     5     5     5\n",
      "[23,]    11     7     6     6     6     7     7     7     7     7     8     8\n",
      "[24,]     7     6     7     6     8     8     9    10     9     9     9    11\n",
      "[25,]     7     7     6     8     7     8     8     9    10     9    10     9\n",
      "[26,]     7     9     8     9     9    10    10     9    10    10    11    11\n",
      "[27,]     8     9     9     9     9     9    10     9     9    10     9    10\n",
      "[28,]     8     9    10    10    10    10     9    10    10    10     9    10\n",
      "[29,]    10     9    10     9    10    10    12    10     9    11    10     9\n",
      "[30,]     9     9    11    11     9     9    11    10    11    10     9     8\n",
      "[31,]    10     9     8     9     9     9    10     9     9    10     9     8\n",
      "[32,]     9     9     9     9     9     9    10     9     9    11     9     9\n",
      "[33,]    10     9     9     9    10     8     9     9     9    10     8     9\n",
      "[34,]    17    16    15    16    13    14    11    11    12    15    15    19\n",
      "[35,]    34    17    17    41    32    23    21    25    26    19    21    25\n",
      "[36,]    34    22    28    48    56    45    31    28    33    36    21    19\n",
      "[37,]    29    26    23    28    35    38    38    31    35    43    23    16\n",
      "[38,]    17    29    34    26    28    29    36    33    33    15    25    32\n",
      "[39,]    15    19    23    20    20    31    36    35    40    13    19    28\n",
      "[40,]    19    17    17    18    17    29    33    36    40    36    33    47\n",
      "[41,]    27    20    16    18    29    32    31    38    14    33    35    28\n",
      "[42,]    29    32    26    27    29    34    35    28    26    31    39    34\n",
      "[43,]    17    22    28    31    36    35    27    15    38    43    39    26\n",
      "[44,]    18    25    31    36    36    30    19    40    52    41    37    22\n",
      "[45,]    19    22    18    35    36    17    34    41    55    43    36    36\n",
      "[46,]    20    20    21    29    14    29    35    53    56    50    53    38\n",
      "[47,]    31    24    43    25    24    17    39    50    58    54    49    44\n",
      "[48,]    35    39    31    17    30    22    15    39    51    52    52    43\n",
      "[49,]    40    38    21    16    30    20    12    13    19    20    14     9\n",
      "[50,]    35    25    18    43    35    22    12    13    23    44    43    36\n",
      "[51,]    30    20    36    50    39    14    27    33    33    31    29    34\n",
      "[52,]    38    51    30    56    44    18    34    37    31    28    31    32\n",
      "[53,]    27    14    43    54    40    25    40    33    29    27    30    32\n",
      "[54,]    30    26    48    53    40    36    38    39    34    28    31    45\n",
      "[55,]    27    34    49    52    33    37    37    33    33    36    42    29\n",
      "[56,]    21    39    54    56    27    37    37    34    35    34    40    41\n",
      "[57,]    34    36    14    54    29    37    40    38    37    36    37    36\n",
      "[58,]    31    34    34    15    31    36    38    40    37    37    37    35\n",
      "[59,]    34    34    35    34    27    36    38    40    38    41    39    37\n",
      "[60,]    33    33    36    27    50    19    36    39    41    41    39    38\n",
      "[61,]    14    23    28    45    63    43    32    23    43    38    31    39\n",
      "[62,]     9    21    30    50    66    77    64    35    29    57    51    42\n",
      "[63,]    42    23    12    12    16    14     8     9    10    11    16    33\n",
      "[64,]    19    13    15    20    21    25    32    25    13    13    22    24\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   181   200   165   116    27    19    14     7     6     7     6     9\n",
      " [2,]    94    33    12    12     7     7     5     6     6     6     7     8\n",
      " [3,]    13     9     6     5     5     7     6     6     6     5     6     8\n",
      " [4,]     6     5     5     6     6     6     5     6     6     6     7     7\n",
      " [5,]     5     5     5     6     5     5     4     6     6     6     7     6\n",
      " [6,]     5     5     5     5     4     5     4     5     5     5     6     6\n",
      " [7,]     4     4     4     4     4     4     4     4     4     5     5     5\n",
      " [8,]     8     7     6     5     4     4     4     4     5     4     4     4\n",
      " [9,]    55    41    28    18    12     8     7     5     6     8     8     7\n",
      "[10,]   104    90    78    81    80    76    62    69    54    40    26    16\n",
      "[11,]   145   144   147   140   129   128   117    86    46    26    40    64\n",
      "[12,]    79    93   101   109   115   115    99    77    26    33    62    86\n",
      "[13,]    11    17    19    25    35    38    36    28    16    40    68    87\n",
      "[14,]    11    10     9     9     9     9     9    12    35    53    63    77\n",
      "[15,]    15    15    14    17    17    15    17    14    20    23    29    42\n",
      "[16,]    12    10     9     9    10    10    12    10    12    15    24    36\n",
      "[17,]    53    35    26    18    12     9     7     8    10    20    31    41\n",
      "[18,]    44    47    36    27    26    28    37    35    12    35    66    79\n",
      "[19,]     8     7    14    26    28    26    27    24    15    52    71    80\n",
      "[20,]     4     5     5     6     7    12    17    20    26    40    54    71\n",
      "[21,]     5     4     5     4     5     6     9    13    47    64    64    64\n",
      "[22,]     5     6     5     5     5     5     6     8    19    40    52    60\n",
      "[23,]     7     7     7     6     6     5     5     4     7    19    23    45\n",
      "[24,]     8     9     8     7     7     6     5     7    10    11    10    38\n",
      "[25,]     9     7     8     8     8     7     6     5     7    10    15    27\n",
      "[26,]     9     9     8     8     8     7     6     6     7     7    14    13\n",
      "[27,]    10     9     9     9     8     7     7     7     8    14     9     8\n",
      "[28,]     9     9     9     8     8     8     8     8     7    24    13    11\n",
      "[29,]     9     9     9     9     7     8     8     8     9    26    20    20\n",
      "[30,]     8     8     9     9     8     7     8     8    21    41    44    14\n",
      "[31,]     9    10     8     9     9     9     8     8    27    61    49    20\n",
      "[32,]     9     8     9    11    10     8     9    17    51    99    35    13\n",
      "[33,]     8     8     9    10     8     9    19    35    57    84    31    10\n",
      "[34,]    15    15    13    12    16    35    30    23    40    37    13    28\n",
      "[35,]    29    27    19    13    36    49    11    16    20    23    20    19\n",
      "[36,]    14    11    14    31    45    32    34    27    19    21    24    15\n",
      "[37,]    28    14    27    26    32    24    17    18    49    31    43    48\n",
      "[38,]    33    29    15    19    32    26    12    18    42    39    17    14\n",
      "[39,]    25    14    16    12    13    12    30    36    34    15    13    10\n",
      "[40,]    31    28    28    30    32    20    16    14    14    13    15    22\n",
      "[41,]    23    16    25    16    22    16    15    17    14    12    12    24\n",
      "[42,]    23    26    30    11    10    11    15    23    22    18    14    15\n",
      "[43,]    23    23    14    14    23    23    25    29    25    12    10    14\n",
      "[44,]    19    25    26    32    29    27    27    26    27    20    18    16\n",
      "[45,]    24    29    35    29    23    25    29    24    12    14    18    17\n",
      "[46,]    27    29    32    29    34    32    28    10    23    32    41    21\n",
      "[47,]    33    30    28    31    32    30    28    21    28    28    16    11\n",
      "[48,]    34    22    24    21    19    20    11    29    18    17    11     9\n",
      "[49,]    13    17    28    18    11    43    41    32    28    15    12    11\n",
      "[50,]    28    36    32    15    64    61    33    16    25    11    14    17\n",
      "[51,]    33    44    43    40    40    56    25    27    27    19    17    17\n",
      "[52,]    26    57    50    50    44    41    33    32    24    16    17    18\n",
      "[53,]    43    65    61    43    40    41    45    33    23    19    17    19\n",
      "[54,]    69    62    51    40    37    35    49    34    21    19    17    29\n",
      "[55,]    47    47    42    34    35    37    52    38    21    22    22    24\n",
      "[56,]    34    30    36    38    36    39    48    42    18    14    14    10\n",
      "[57,]    32    34    34    37    40    47    43    23    12    10    13     9\n",
      "[58,]    33    39    37    40    47    59    34    15    13     8     7     8\n",
      "[59,]    36    37    39    44    52    37    26    13     9     6     6    11\n",
      "[60,]    37    35    48    44    70    43    14     6     5     7     7    12\n",
      "[61,]    47    44    36    23    21    20    17     9     7     7    11    13\n",
      "[62,]    28    19    22    23    22    17    11     6     5     7    13    13\n",
      "[63,]    22    21    24    21    20    17     9     7     6     7    12    10\n",
      "[64,]    28    23    21    22    19    15     8     6     3     6    12    11\n",
      "      [,62] [,63] [,64]\n",
      " [1,]    10    12    12\n",
      " [2,]    10    10    12\n",
      " [3,]     9    11    12\n",
      " [4,]     9    10    13\n",
      " [5,]     9     9    12\n",
      " [6,]     7     8    11\n",
      " [7,]     5     8     8\n",
      " [8,]     4     4     5\n",
      " [9,]     7     4     6\n",
      "[10,]    12     8    22\n",
      "[11,]    91   123   161\n",
      "[12,]   120   167   200\n",
      "[13,]   125   158   168\n",
      "[14,]    93   115   148\n",
      "[15,]    55    71    99\n",
      "[16,]    48    50    63\n",
      "[17,]    52    54    52\n",
      "[18,]    84    80    73\n",
      "[19,]    84    84    82\n",
      "[20,]    70    59    67\n",
      "[21,]    57    52    56\n",
      "[22,]    70    72    52\n",
      "[23,]    72    76    54\n",
      "[24,]    54    45    40\n",
      "[25,]    25    21    17\n",
      "[26,]    16    15     9\n",
      "[27,]    14     9     6\n",
      "[28,]    14    13     7\n",
      "[29,]    11    14    16\n",
      "[30,]    10    14    21\n",
      "[31,]     8     7    12\n",
      "[32,]    10    22    14\n",
      "[33,]    15    44    30\n",
      "[34,]    21    25    23\n",
      "[35,]    14    28    31\n",
      "[36,]    26    59    71\n",
      "[37,]    24    23    45\n",
      "[38,]    19    26    20\n",
      "[39,]    25    24    23\n",
      "[40,]    19    11    11\n",
      "[41,]    44    68    62\n",
      "[42,]    40    64    56\n",
      "[43,]    11    12     9\n",
      "[44,]    10     9    13\n",
      "[45,]    12    12    12\n",
      "[46,]    10    10    15\n",
      "[47,]    10    11    16\n",
      "[48,]    12    14    15\n",
      "[49,]    12    13    14\n",
      "[50,]    24    17    18\n",
      "[51,]    24    47    55\n",
      "[52,]    23    33    62\n",
      "[53,]    31    36    38\n",
      "[54,]    31    24    33\n",
      "[55,]    11    15    32\n",
      "[56,]    13    23    10\n",
      "[57,]     8    13    11\n",
      "[58,]    12     9    11\n",
      "[59,]    13    11    15\n",
      "[60,]    12    15    15\n",
      "[61,]    14    16    17\n",
      "[62,]    16    17    18\n",
      "[63,]    10    22    23\n",
      "[64,]    10     9    22\n",
      "\n",
      ", , 5, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   10   10   11   11   10   12   10   10   11    10    10    10    10\n",
      " [2,]   11   12   11   13   12   10   12   13   12    12    11    12    11\n",
      " [3,]   11   12   11   11   12   11   12   12   12    12    12    10    12\n",
      " [4,]   11   12   11   11   11   12   12   12   11    13    10    11    11\n",
      " [5,]   12   12   13   13   12   12   11   12   12    11    12    12    13\n",
      " [6,]   13   12   13   12   11   13   12   12   12    12    12    13    13\n",
      " [7,]   12   11   11   10   11   13   12   13   12    11    12    12    12\n",
      " [8,]   11   12   11   11   10   12   13   12   11    13    12    12    12\n",
      " [9,]   12   12   10   13   11   11   12   11   12    11    11    11    11\n",
      "[10,]   12   12   12   11   11   11   12   12   12    11    11    10     9\n",
      "[11,]   12   11   11   12   12   12   13   11   11     9     7     8     8\n",
      "[12,]   12   11   12   12   11   10   11    9    8     7     5     4     4\n",
      "[13,]   11   12   11   10    9    9    7    7    7     6     4     4     4\n",
      "[14,]   11   12   10   10    7    6    5    5    5     5     5     6     6\n",
      "[15,]   12   10    9    8    7    5    5    4    5     6     8    30    59\n",
      "[16,]   10    9    7    5    5    5    5    6   12    42    73   101   120\n",
      "[17,]    9    7    6    5    5    6   11   40   71   102   114   136   126\n",
      "[18,]    5    5    5    5    6   40   74  103  132   141   154   121   100\n",
      "[19,]    5    5    6   16   65  102  135  138  158   153   134    78   103\n",
      "[20,]    5    6   25   84  124  143  161  153  145   127    49    78    77\n",
      "[21,]    7   28   97  137  154  158  136  107   71    49    62    53    83\n",
      "[22,]   19   94  153  157  150  137  113   51   22    37    51    70    59\n",
      "[23,]   86  151  152  152  131  115   34   16   23    59    54    62    88\n",
      "[24,]  140  153  145   95   80   73   27   35   38    52    53    23    65\n",
      "[25,]  158  148  110   60   41   21   36   26   85    96    43    37    19\n",
      "[26,]  148  146   73   57   22   37   74   88   83    55    55    15    21\n",
      "[27,]  149  128  104   61   44   38   58   94  102    58    30    21    15\n",
      "[28,]  143  123  121   50   30   46   53   78   86    56    22    21    14\n",
      "[29,]  143  128  103  102   45   67   80   82   61    30    13    13    10\n",
      "[30,]  139  126  121  102   71   77   81   58   50    30    22    13     9\n",
      "[31,]  139  124  110   89   90   87   73   63   53    33    24    10     9\n",
      "[32,]  135  121   98  115   92   97   86   61   51    37    19    10    10\n",
      "[33,]  133  105   95  116  101   79   70   52   45    34    15    11    10\n",
      "[34,]  135  120  100  103   91   74   68   61   48    36    20    11    12\n",
      "[35,]  126  118   86   83   86   74   74   68   58    44    27    14    11\n",
      "[36,]  127  121   79   82   82   85   88   79   66    55    33    13    14\n",
      "[37,]  121  119   84   86   88   87   91   79   65    45    24    12    14\n",
      "[38,]  107  124  100   77   71   73   83   86   66    47    22    18    14\n",
      "[39,]   84  121  103   66   88   69   88   83   61    40    24    13    15\n",
      "[40,]   72  121  118   84   48   46   83   70   67    44    32    25    20\n",
      "[41,]   63  103  129  111   64   19   20   25   44    36    35    35    17\n",
      "[42,]   49   89  103   79   25   18   15   15   15    24    34    37    18\n",
      "[43,]   43   64  112   94   20   15   14   14   15    26    43    36    23\n",
      "[44,]   25   51  108  103   82   12   14   16   23    39    40    33    23\n",
      "[45,]   15   23   78  102   92   38   16   26   36    50    61    41    29\n",
      "[46,]   17   16   38   98   90   60   33   31   52    61    70    53    35\n",
      "[47,]   53   13   23   82   83   68   54   58   67    35    77    65    34\n",
      "[48,]   82   20   26   53   76   61   64   59   56    41    41    66    47\n",
      "[49,]   87   49   29   44   62   59   64   53   64    60    53    38    22\n",
      "[50,]  102   71   20   34   47   52   53   52   51    53    62    55    53\n",
      "[51,]  116   83   14   27   30   43   44   47   48    56    51    42    44\n",
      "[52,]  129   90   27   18   21   28   36   38   41    41    33    37    35\n",
      "[53,]  147   88   45   33   33   29   26   19   18    22    22    19    19\n",
      "[54,]  155  100   70   65   51   35   28   31   24    18    27    28    30\n",
      "[55,]  151  104   80   70   70   49   43   44   25    34    40    43    37\n",
      "[56,]  159  101   81   68   71   70   58   53   53    43    44    45    47\n",
      "[57,]  150  102   70   64   68   69   67   64   66    55    50    49    53\n",
      "[58,]  137   96   58   40   56   61   63   67   73    64    58    53    53\n",
      "[59,]  117   92   54   25   37   53   58   57   61    55    51    47    43\n",
      "[60,]   97   79   44   12   12   23   47   52   47    34    33    30    26\n",
      "[61,]   83   72   38    9    9   10   13   24   30    21    17    17    20\n",
      "[62,]   75   51   21    9    8    8    9   11    9    11    12    13    23\n",
      "[63,]   61   47   24    8    8    8    9    8    8     9     9     9    10\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    10    10    10    10     9     8    11     8     8    18    48    81\n",
      " [2,]    12    12    11    11     9     9     9     8     8     7     8     8\n",
      " [3,]    12    11    11    13    12    10     9     8     6     7     7     7\n",
      " [4,]    11    12    11    11    11     9     9     7     8     7     6     7\n",
      " [5,]    12    12    11    11    10     9     9     7     7     5     6     6\n",
      " [6,]    13    12    11    10    10    10     9     7     7     6     6     5\n",
      " [7,]    11    13    11    10    11     8     8     7     6     7     6     6\n",
      " [8,]    10    12    10    10     9     8     8     7     6     5     5     5\n",
      " [9,]    10     9     9     7     7     7     6     6     5     5     5     5\n",
      "[10,]     9     7     6     4     5     4     4     4     4     4     5     5\n",
      "[11,]     7     6     5     4     4     4     5     6     6     7    17    27\n",
      "[12,]     5     5     4     5     6     5    22    46    51    68    68    66\n",
      "[13,]     5     6     6    26    56    76    87    98    91   102    97    77\n",
      "[14,]    24    37    75    99   124   126   124   110    89    81    59    41\n",
      "[15,]    89   108   121   140   130   121   106    91    66    39    27    20\n",
      "[16,]   123   143   135   121   116   102    86    55    27    15    16    18\n",
      "[17,]   120    99   112   108    97    84    64    20    17    18    14    18\n",
      "[18,]   112    63    56    85    74    74    28    13    22    24    18    25\n",
      "[19,]    91    40    35    72    62    20    11    18    30    31    45    38\n",
      "[20,]    88    72    66    56    32    14    17    31    38    41    47    51\n",
      "[21,]    97    76    65    46    29    16    31    50    42    64    61    58\n",
      "[22,]    82    55    45    35    15    17    54    56    66    68    68    76\n",
      "[23,]    60    44    35    16    11    23    60    72    67    59    63    66\n",
      "[24,]    29    28    15     8     8    18    80    60    48    39    37    34\n",
      "[25,]    20    16     8     7     7    29    80    43    28    30    26    24\n",
      "[26,]    16     9     7     8     7    34    60    39    38    45    64    51\n",
      "[27,]    13     9     7     8     7    28    48    38    64    90    92    72\n",
      "[28,]     8     7     7     8     9    23    46    31    52   100   108   102\n",
      "[29,]     9     7     8    10    11    19    42    32    35    68    87    79\n",
      "[30,]     8     8     9     9     8    12    45    42    33    31    28    30\n",
      "[31,]    10     8    10     9     8     8    45    46    45    33    25    27\n",
      "[32,]    10    10     8     8     8     8    15    31    40    39    35    43\n",
      "[33,]    13     9     9     9     7     8     9     9     9    14    11    66\n",
      "[34,]    10     9     9     8     8     9     9    11     8     9    10     8\n",
      "[35,]    10    12     8     9    10     9     9    10    10    10    18    23\n",
      "[36,]    14    10    10    14    10     9    10    10    12    21    47    67\n",
      "[37,]    13    10    10    10    11    10    11    10    15    41    45    50\n",
      "[38,]    12    12    12    10    10    10     9    16    33    42    33    39\n",
      "[39,]    13    12    12    11    10    12    13    28    44    45    53    46\n",
      "[40,]    12    12    12    11    10    10    16    46    40    44    49    47\n",
      "[41,]    14    14    22    11    12    13    23    51    41    38    43    39\n",
      "[42,]    16    30    27    13    11    12    32    40    40    40    45    41\n",
      "[43,]    19    21    14    12    12    12    34    42    40    38    34    36\n",
      "[44,]    14    14    13    12    13    17    32    43    41    38    37    41\n",
      "[45,]    15    14    13    11    14    17    31    36    42    32    39    41\n",
      "[46,]    14    12    14    14    13    15    29    43    41    41    45    42\n",
      "[47,]    21    13    13    18    17    17    30    33    32    47    45    37\n",
      "[48,]    21    14    13    15    15    22    40    43    33    30    28    37\n",
      "[49,]    20    17    15    15    14    24    37    41    43    49    46    45\n",
      "[50,]    28    16    18    17    17    23    42    31    38    41    42    36\n",
      "[51,]    38    17    24    16    17    23    46    43    27    37    47    42\n",
      "[52,]    27    22    31    27    17    18    24    29    25    30    36    41\n",
      "[53,]    23    17    24    39    32    19    20    19    14    22    27    36\n",
      "[54,]    18    18    14    17    45    37    25    18    17    18    16    19\n",
      "[55,]    30    27    16    17    16    19    31    26    19    15    15    31\n",
      "[56,]    35    24    22    21    17    13    16    16    17    17    13    14\n",
      "[57,]    44    29    27    20    21    19    15    13    13    15    15    22\n",
      "[58,]    45    39    32    16    18    15    17    14    16    13    23    19\n",
      "[59,]    40    38    27    17    17    15    15    14    14    14    15    16\n",
      "[60,]    26    24    22    23    27    22    20    17    14    13    15    13\n",
      "[61,]    21    22    23    36    50    52    59    58    43    21    12    13\n",
      "[62,]    29    31    33    37    47    56    70    73    76    75    51    26\n",
      "[63,]    12    19    29    37    34    40    55    74    90    88    86    83\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]    99   116   132   150   147   149   144   152   153   155   148   158\n",
      " [2,]    19    39    68    95   112   121   126   132   132   134   138   138\n",
      " [3,]     8     7     8     9    25    45    82   105   129   144   145   154\n",
      " [4,]     6     6     6     7     8     8     8     7     5    10    19    22\n",
      " [5,]     6     6     7     6     6     6     6     6     7     6     7     7\n",
      " [6,]     6     6     6     5     6     5     6     6     6     5     6     6\n",
      " [7,]     6     6     5     6     5     5     5     5     5     6     6     7\n",
      " [8,]     5     6     5     7     8    13     6     6     7     8    10    18\n",
      " [9,]     5     4     4     5     8    10     7     8    20    36    33    27\n",
      "[10,]     6     6     6     9    12    18    14    47    53    40    28    21\n",
      "[11,]    38    41    41    28    20    18    45    73    75    58    27    36\n",
      "[12,]    65    54    49    43    38    35    62    79    74    34    96    89\n",
      "[13,]    66    47    26    20    21    21    33    39    16    50    65    74\n",
      "[14,]    24    19    20    23    20    16    17    17    19    21    38    26\n",
      "[15,]    18    26    27    19    17    24    20    16    23    23    28    25\n",
      "[16,]    19    30    28    25    16    20    22    19    29    41    52    48\n",
      "[17,]    20    15    22    29    31    32    30    35    44    61    54    67\n",
      "[18,]    28    32    39    53    59    57    54    54    65    71    78    81\n",
      "[19,]    43    48    45    51    58    68    67    60    76    83    87    87\n",
      "[20,]    54    63    69    74    78    81    90    88    99    99    79    92\n",
      "[21,]    75    70    80    71    67    66    84    96   100   103    70    67\n",
      "[22,]    88    89    75    68    33    88    91    94    93   105    58    30\n",
      "[23,]    62    79    97    91    93    91    89    96    93    74    31    12\n",
      "[24,]    31    36    51    76    83    88    88    92    75    27    13     8\n",
      "[25,]    21    22    32    56    56    54    75    55    14    14     8     6\n",
      "[26,]    32    20    24    43    70    71    36    20    12     9     6     7\n",
      "[27,]    50    33    22    28    26    29    63    15    13     7     6     7\n",
      "[28,]    83    36    29    52    89    79     7    13     7     6     8     8\n",
      "[29,]    60    27    28    68    54     6     8     8     8     8     8     8\n",
      "[30,]    24    21    29    20    11     8     8     7     8     9     9    10\n",
      "[31,]    27    25    12    12     9     8     8     9     9     9    10     9\n",
      "[32,]    50    10    17     9     9     8     9    10     9    10     9    10\n",
      "[33,]     6    14    10     9     9     8     8     9    10    10    10     9\n",
      "[34,]    11    24    25    17    17    20    16    12    15    12    13    16\n",
      "[35,]    58    44    42    32    33    19    24    22    18    18    28    19\n",
      "[36,]    55    53    54    43    32    27    31    20    27    32    24    35\n",
      "[37,]    40    42    42    31    32    38    28    24    23    22    26    33\n",
      "[38,]    29    33    42    25    22    28    18    18    14    15    14    17\n",
      "[39,]    36    36    39    35    38    16    18    15    17    13    14    13\n",
      "[40,]    41    38    35    35    25    22    18    17    14    20    20    17\n",
      "[41,]    39    39    38    37    37    30    21    33    15    18    25    29\n",
      "[42,]    45    38    40    42    44    39    31    25    20    22    28    32\n",
      "[43,]    37    35    37    34    27    17    16    25    30    33    37    23\n",
      "[44,]    38    32    31    31    14    13    22    28    30    20    21    25\n",
      "[45,]    38    35    39    43    22    25    24    33    26    19    24    21\n",
      "[46,]    40    37    41    34    25    16    18    27    27    18    18    15\n",
      "[47,]    38    38    25    23    19    27    23    29    25    21    27    31\n",
      "[48,]    35    21    27    29    25    30    38    35    35    26    28    31\n",
      "[49,]    35    27    32    26    27    42    34    34    37    28    26    34\n",
      "[50,]    29    28    28    26    39    33    35    31    26    31    36    36\n",
      "[51,]    39    34    32    36    38    40    41    38    41    34    37    39\n",
      "[52,]    43    38    35    33    41    43    43    40    39    37    28    26\n",
      "[53,]    34    39    43    37    35    30    23    22    20    26    17    20\n",
      "[54,]    37    11    16    19    20    21    24    28    26    13    62    33\n",
      "[55,]    26    36    34    34    34    34    35    37    38    38    21    37\n",
      "[56,]    17    27    32    34    33    34    35    37    36    33    34    20\n",
      "[57,]    13    15    23    26    32    33    32    35    36    39    33    32\n",
      "[58,]    41    20    16    16    23    28    33    31    35    35    34    37\n",
      "[59,]    39    65    36    19    11    23    28    33    34    33    35    32\n",
      "[60,]    13    25    66    70    48    21    13    21    32    36    36    34\n",
      "[61,]    12    12     8    22    75    86    55    17    15    19    22    21\n",
      "[62,]    18    11     9     9    10     6    49    59    35    26    10    11\n",
      "[63,]    76    38    18    11     9    15    26    10    13    40    53    49\n",
      "[64,]     0    45    51    59    45    12     8     9    14    19    25    19\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   144   145   153   160   155   136   155   150   152   152   159   176\n",
      " [2,]   133   138   142   140   138   143   147   151   156   165   174   168\n",
      " [3,]   149   154   156   155   159   161   157   147   108    51    22    17\n",
      " [4,]    35    40    51    37    17    11    10    11    13     9     6     6\n",
      " [5,]     8    10    10     9     7     6     6     6     5     5     6     5\n",
      " [6,]     6     5     6     6     6     6     6     6     5     5     6     5\n",
      " [7,]     8     8     9     8     9     9     9    10    10    10     9     5\n",
      " [8,]    25    28    32    34    31    29    24    24    24    36    24    10\n",
      " [9,]    26    24    21    24    25    25    27    35    49    72    79    73\n",
      "[10,]    24    32    40    44    43    29    33    70    85   106   101   112\n",
      "[11,]    49    44    42    35    17    30    47    68    93    97   117   130\n",
      "[12,]    65    47    29    14    12    19    31    37    39    44    51    62\n",
      "[13,]    74    38    18    12    12     9    10    12     9    11    10     9\n",
      "[14,]    22    33    15    13    13     9    12    13    13    14    16    13\n",
      "[15,]    23    20    14    10    15    12    12    17    16    13    11    14\n",
      "[16,]    35    28    31    25    15    23    36    49    57    56    26    16\n",
      "[17,]    67    44    38    33    19    42    52    71    72    62    66    71\n",
      "[18,]    93    74    52    28    15    16    15    21    36    40    39    42\n",
      "[19,]    93    81    32    14     8     7     5     5     7     6     5     5\n",
      "[20,]    92    24     7     6     4     4     4     5     4     4     4     4\n",
      "[21,]    22    11     5     5     4     5     4     5     4     4     5     4\n",
      "[22,]     8     7     5     6     5     5     4     5     5     5     5     5\n",
      "[23,]    10     7     5     6     6     6     7     6     7     8     7     7\n",
      "[24,]     7     6     7     6     7     8     9     9     9     9    10     9\n",
      "[25,]     7     7     7     8     8     9    10    10     9     9    10    12\n",
      "[26,]     7     7     9    10    10     9     9    11    11     9     9     9\n",
      "[27,]     7     9     8     9    10    10     9    10    10    10    12     9\n",
      "[28,]     8     9     8    10    10    10    10    10    10     9     9    10\n",
      "[29,]    10     9    10    11     9    10    11    10     9    10    10     9\n",
      "[30,]     9    10    11    10     9     9    10     9    11     9     9    11\n",
      "[31,]    10    10     9    10    10    10     9     9    10    10     9    10\n",
      "[32,]     9    10     9    10     9    10    11     9    10     9    10     9\n",
      "[33,]    10     9    10    10     9     9     9    10     8    10    11     8\n",
      "[34,]    16    19    17    14    12    12    12    12    14    15    17    21\n",
      "[35,]    34    18    16    44    33    22    28    25    22    16    23    27\n",
      "[36,]    31    23    27    49    55    38    32    26    35    41    19    19\n",
      "[37,]    30    25    24    26    32    37    39    35    39    34    23    18\n",
      "[38,]    17    29    30    25    29    29    34    33    34    12    26    35\n",
      "[39,]    16    19    22    17    18    30    37    36    43    16    20    28\n",
      "[40,]    21    19    17    15    19    31    33    31    32    39    38    44\n",
      "[41,]    28    20    16    20    29    29    31    39    14    33    31    26\n",
      "[42,]    30    31    25    26    30    36    34    20    27    30    40    38\n",
      "[43,]    19    23    26    36    37    31    26    19    38    43    40    22\n",
      "[44,]    21    29    32    34    36    25    19    41    50    47    34    22\n",
      "[45,]    21    22    18    36    32    20    35    44    53    48    33    35\n",
      "[46,]    19    22    22    37    11    28    32    57    54    51    49    34\n",
      "[47,]    31    26    38    26    25    15    42    50    58    51    50    47\n",
      "[48,]    38    42    31    17    32    22    18    39    47    50    50    40\n",
      "[49,]    42    35    20    19    28    19    12    15    20    22    14    10\n",
      "[50,]    35    29    19    41    34    19    14    13    26    45    41    38\n",
      "[51,]    28    19    43    50    41    16    27    36    36    30    29    32\n",
      "[52,]    44    53    28    56    47    19    35    40    30    29    28    34\n",
      "[53,]    28    16    44    53    38    27    39    33    32    27    31    33\n",
      "[54,]    27    24    49    53    40    37    40    37    34    30    30    46\n",
      "[55,]    28    33    53    53    33    40    40    36    34    38    43    36\n",
      "[56,]    24    44    54    55    24    37    35    34    37    34    42    42\n",
      "[57,]    34    36    14    58    28    40    36    38    38    38    37    36\n",
      "[58,]    34    34    32    15    28    38    40    41    36    37    37    36\n",
      "[59,]    35    35    37    31    28    37    38    41    40    41    39    37\n",
      "[60,]    36    34    36    25    55    18    37    39    41    40    39    39\n",
      "[61,]    15    24    27    46    60    44    33    25    44    38    31    42\n",
      "[62,]     8    21    31    48    65    77    67    36    30    57    53    43\n",
      "[63,]    44    22    13    13    15    13     9     8    11    13    17    31\n",
      "[64,]    18    14    16    21    20    27    31    27    15    13    21    25\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   182   199   165   118    26    21    16     6     7     7     7     8\n",
      " [2,]    95    32    12    12     7     6     7     6     5     6     7     9\n",
      " [3,]    13     9     6     6     5     6     6     6     5     6     7     8\n",
      " [4,]     6     6     6     6     6     6     6     6     6     5     7     7\n",
      " [5,]     5     6     6     6     5     5     5     6     6     5     6     7\n",
      " [6,]     5     5     5     5     4     5     5     5     5     6     6     6\n",
      " [7,]     4     4     4     4     5     4     4     5     5     5     5     6\n",
      " [8,]     8     8     6     5     4     4     4     4     4     4     4     4\n",
      " [9,]    57    43    28    18    12     8     7     5     5     8     8     7\n",
      "[10,]   104    90    79    81    80    77    65    69    55    41    25    16\n",
      "[11,]   147   146   147   142   132   130   119    88    48    25    40    64\n",
      "[12,]    79    95   102   109   116   117   100    78    27    35    62    85\n",
      "[13,]    12    17    20    26    36    41    37    30    15    39    67    87\n",
      "[14,]    11     9    10    10    10     9    10    14    36    54    64    78\n",
      "[15,]    16    15    14    18    16    15    16    14    19    23    29    41\n",
      "[16,]    14    13     9     9    10    10    12    10    14    16    24    37\n",
      "[17,]    54    35    27    19    13     8     8     8    10    20    31    41\n",
      "[18,]    47    48    38    29    26    29    39    37    12    37    64    79\n",
      "[19,]     7     7    14    28    31    27    28    26    16    53    72    79\n",
      "[20,]     5     4     5     6     6    12    20    23    25    42    53    71\n",
      "[21,]     5     4     4     4     4     8    10    13    49    64    66    64\n",
      "[22,]     5     5     5     5     5     5     5    10    21    42    52    63\n",
      "[23,]     8     7     6     5     5     5     4     5     8    18    23    45\n",
      "[24,]     8     9     7     7     7     5     5     6     8    14    10    39\n",
      "[25,]    10     8     8     8     6     7     6     6     8    11    16    29\n",
      "[26,]     9    10     9     9     8     7     6     7     7    10    15    13\n",
      "[27,]    10    10     8     8     8     8     7     7     8    14    10     8\n",
      "[28,]     9     9     8     9     9     7     9     8     7    24    12    12\n",
      "[29,]    10     9     9    10     7     8     7     8     9    22    21    18\n",
      "[30,]    11     9     8    10     8     9     8     8    19    44    43    13\n",
      "[31,]     9     9     8     8     8     9     8     9    29    64    47    20\n",
      "[32,]     8    10     8     8     7     7    10    20    54   107    31    13\n",
      "[33,]     8     8     9     9    10    10    25    32    62    71    25    10\n",
      "[34,]    17    15    12    12    15    38    31    27    40    38    15    26\n",
      "[35,]    31    29    20    12    51    41    10    18    24    26    19    14\n",
      "[36,]    15    12    18    40    41    26    32    25    22    21    23    18\n",
      "[37,]    30    16    30    26    30    25    19    16    47    30    47    52\n",
      "[38,]    36    30    17    21    30    19    12    20    42    45    19     8\n",
      "[39,]    24    16    17    12    13    13    38    36    29    19    17    15\n",
      "[40,]    28    27    30    25    28    17    12    14    15    11    12    18\n",
      "[41,]    19    20    22    18    22    17    10    21    16    12    13    25\n",
      "[42,]    22    27    30    10    12    12    13    23    24    23    15    28\n",
      "[43,]    25    22    12    15    22    22    26    30    26    12    10    14\n",
      "[44,]    21    24    27    30    28    27    28    28    27    20    20    20\n",
      "[45,]    23    31    33    28    24    26    27    21    13    14    17    17\n",
      "[46,]    30    28    33    30    34    33    27    12    20    33    41    21\n",
      "[47,]    33    31    25    37    32    30    26    20    26    29    16    14\n",
      "[48,]    29    18    26    18    19    21    12    32    20    19    13     9\n",
      "[49,]    13    16    28    16    14    42    38    35    29    15    12    11\n",
      "[50,]    29    38    30    17    64    63    33    14    25    12    16    18\n",
      "[51,]    36    46    46    40    39    54    24    28    26    19    16    14\n",
      "[52,]    30    57    48    48    48    42    31    32    22    17    16    18\n",
      "[53,]    45    68    62    43    37    42    44    34    22    20    18    19\n",
      "[54,]    71    64    52    41    36    35    48    34    21    19    16    29\n",
      "[55,]    50    47    41    34    36    37    54    40    22    23    25    26\n",
      "[56,]    31    33    36    38    37    41    50    43    18    14    14    11\n",
      "[57,]    34    35    37    38    39    49    44    22    11    11    14     9\n",
      "[58,]    35    39    37    39    48    59    37    15    14     8     6     7\n",
      "[59,]    38    39    38    43    52    35    26    13    10     7     6    11\n",
      "[60,]    39    35    47    45    72    42    14     8     5     5     8    11\n",
      "[61,]    48    45    35    24    22    21    16    10     6     8    10    13\n",
      "[62,]    30    20    23    24    22    18    11     7     6     6    13    14\n",
      "[63,]    23    21    23    22    20    18    11     7     6     8    13    10\n",
      "[64,]    30    25    21    21    20    15     7     5     4     5    11    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]    10    11    11\n",
      " [2,]    10    11    14\n",
      " [3,]     9    12    12\n",
      " [4,]     9    11    11\n",
      " [5,]     9    10    10\n",
      " [6,]     7     8    10\n",
      " [7,]     6     8     8\n",
      " [8,]     5     5     5\n",
      " [9,]     6     5     4\n",
      "[10,]    14     9    20\n",
      "[11,]    90   121   160\n",
      "[12,]   119   166   201\n",
      "[13,]   126   160   169\n",
      "[14,]    94   115   149\n",
      "[15,]    56    73   100\n",
      "[16,]    48    52    65\n",
      "[17,]    51    53    51\n",
      "[18,]    83    80    75\n",
      "[19,]    85    85    85\n",
      "[20,]    71    62    68\n",
      "[21,]    59    51    58\n",
      "[22,]    70    73    52\n",
      "[23,]    75    76    54\n",
      "[24,]    53    45    42\n",
      "[25,]    27    23    19\n",
      "[26,]    16    16    10\n",
      "[27,]    14     9     6\n",
      "[28,]    15    13     7\n",
      "[29,]    11    15    16\n",
      "[30,]    11    16    21\n",
      "[31,]     8     8    11\n",
      "[32,]    10    21    16\n",
      "[33,]    15    41    28\n",
      "[34,]    25    26    25\n",
      "[35,]    15    28    32\n",
      "[36,]    25    55    71\n",
      "[37,]    32    26    39\n",
      "[38,]    14    27    28\n",
      "[39,]    30    26    23\n",
      "[40,]    20    15    14\n",
      "[41,]    48    61    49\n",
      "[42,]    45    62    45\n",
      "[43,]    11     7     9\n",
      "[44,]    12     9    12\n",
      "[45,]    13    12    15\n",
      "[46,]    11    13    15\n",
      "[47,]    10    10    15\n",
      "[48,]    10    12    17\n",
      "[49,]    12    14    15\n",
      "[50,]    22    16    17\n",
      "[51,]    25    46    56\n",
      "[52,]    22    36    64\n",
      "[53,]    30    37    40\n",
      "[54,]    34    22    33\n",
      "[55,]    11    14    35\n",
      "[56,]    13    25    10\n",
      "[57,]     9    12    11\n",
      "[58,]    11     9    11\n",
      "[59,]    14    12    16\n",
      "[60,]    13    15    16\n",
      "[61,]    13    16    17\n",
      "[62,]    15    17    18\n",
      "[63,]    10    21    23\n",
      "[64,]    10    10    22\n",
      "\n",
      ", , 6, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   11   11   12    9   12   12   11   11   12    12    10    10    11\n",
      " [2,]   12   10   11   11   12   12   13   12   11    11    12    14    11\n",
      " [3,]   12   11   10   11   11   11   11   11   11    12    12    12    13\n",
      " [4,]   12   11   12   12   11   13   13   11   11    12    12    12    12\n",
      " [5,]   12   13   11   11   11   12   12   12   12    12    11    12    12\n",
      " [6,]   13   12   11   12   13   12   11   12   12    11    11    12    13\n",
      " [7,]   11   11   12   12   12   10   12   11   12    11    11    10    12\n",
      " [8,]   11   11   11   12   11   12   11   12   11    11    10    12    12\n",
      " [9,]   12   13   11   13   13   11   13   13   12    11    12    11    10\n",
      "[10,]   13   12   10   10   12   11   11   11   12    11    10    10    10\n",
      "[11,]   11   13   10   12   12   11   10   11   10     9     7     8     7\n",
      "[12,]   13   11   13   12   11   12   11    9    9     6     5     5     4\n",
      "[13,]   10   11   12   12   10   10    8    7    7     5     5     5     5\n",
      "[14,]   10   11   11   11    8    6    4    5    5     5     5     6     6\n",
      "[15,]   10   11    9    7    7    5    5    4    5     7     9    31    59\n",
      "[16,]   10    7    7    5    5    4    5    6   12    43    74   101   120\n",
      "[17,]    9    7    5    5    5    6   10   40   72   101   114   136   126\n",
      "[18,]    6    6    5    5    6   39   75  104  133   142   152   121    99\n",
      "[19,]    5    5    6   16   65  102  138  140  159   152   134    75   103\n",
      "[20,]    5    6   25   84  124  144  162  153  146   128    48    79    75\n",
      "[21,]    7   27   99  139  154  158  137  108   71    48    65    54    85\n",
      "[22,]   18   96  153  156  151  138  111   53   23    38    51    70    59\n",
      "[23,]   85  149  153  152  132  116   34   16   23    57    54    61    86\n",
      "[24,]  140  152  147   96   80   71   27   35   38    50    51    24    64\n",
      "[25,]  158  148  109   59   42   23   37   27   89    98    40    39    19\n",
      "[26,]  149  146   74   55   22   39   77   88   83    57    57    16    21\n",
      "[27,]  149  130  103   60   44   39   56   93  101    56    31    21    16\n",
      "[28,]  143  122  124   49   28   45   53   79   84    55    24    22    13\n",
      "[29,]  146  130   99  105   44   68   80   83   59    29    12    12    10\n",
      "[30,]  140  127  121  102   73   77   82   59   51    31    20    13    10\n",
      "[31,]  137  123  109   87   90   88   72   62   53    34    24     9     9\n",
      "[32,]  132  119   99  111   91   99   85   61   50    37    17    10    11\n",
      "[33,]  134  110   93  113  102   80   68   53   43    33    14    11     9\n",
      "[34,]  131  120   98  105   94   72   67   62   49    37    18    13    10\n",
      "[35,]  128  121   84   85   86   74   75   70   60    46    28    13    11\n",
      "[36,]  128  120   80   85   82   84   90   77   69    54    32    13    13\n",
      "[37,]  121  121   87   86   90   89   90   79   66    45    22    13    13\n",
      "[38,]  108  123   97   72   72   70   84   85   63    46    20    17    11\n",
      "[39,]   83  119  102   66   92   67   85   85   61    43    23    15    15\n",
      "[40,]   76  121  118   91   48   49   86   73   65    45    35    26    21\n",
      "[41,]   62  107  129  116   65   17   18   26   46    38    34    37    17\n",
      "[42,]   48   85  105   78   24   19   14   15   14    23    30    33    18\n",
      "[43,]   42   64  115   91   22   13   12   13   14    22    43    35    22\n",
      "[44,]   25   47  104  106   82   13   14   16   25    37    45    29    21\n",
      "[45,]   15   24   77  107   89   28   17   27   35    53    62    42    31\n",
      "[46,]   17   16   35   99   89   59   30   35   53    66    71    53    33\n",
      "[47,]   55   15   25   83   85   69   58   58   72    37    75    63    37\n",
      "[48,]   82   19   26   53   71   63   63   59   54    45    41    61    40\n",
      "[49,]   90   48   26   42   63   54   65   54   63    60    50    39    25\n",
      "[50,]  104   70   23   37   45   54   52   54   52    53    62    55    50\n",
      "[51,]  120   85   14   26   29   44   46   47   46    56    48    42    44\n",
      "[52,]  128   87   24   20   21   27   33   33   41    36    34    34    35\n",
      "[53,]  144   90   43   32   32   28   26   21   19    22    22    19    18\n",
      "[54,]  151   95   71   67   54   37   29   28   20    18    24    26    29\n",
      "[55,]  152  102   79   72   72   51   45   45   27    32    39    42    37\n",
      "[56,]  156  100   83   68   70   69   62   53   49    39    44    48    49\n",
      "[57,]  149  100   72   60   67   67   66   63   68    57    46    52    50\n",
      "[58,]  136   96   59   41   59   60   64   66   69    66    58    52    53\n",
      "[59,]  118   90   53   25   36   55   60   59   63    54    49    42    41\n",
      "[60,]   94   81   43   12   14   29   49   52   46    33    37    32    28\n",
      "[61,]   80   73   35   10   10    9   15   24   29    19    16    17    21\n",
      "[62,]   74   51   23   10    8    9    9   11    8    12    11    13    20\n",
      "[63,]   61   46   25   10    9    9    8    9    9     9     9     9    10\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    10    10    11    11     9     9     9     8     9    21    47    82\n",
      " [2,]    11    13    12    11    10     9     9     7     8     9     8     8\n",
      " [3,]    12    11    12    10    11     9     8     7     7     7     6     7\n",
      " [4,]    11    11    12    10    11     9     8     7     7     7     7     6\n",
      " [5,]    12    12    13    11    10    10     9     8     7     6     7     6\n",
      " [6,]    12    13    10    10    10     9     9     7     6     7     6     6\n",
      " [7,]    13    12    10    11     9     9     8     7     6     6     6     6\n",
      " [8,]    12    12    11    11     9     9     7     6     5     5     6     6\n",
      " [9,]    10    10     8     8     7     6     6     5     5     5     5     4\n",
      "[10,]     9     7     6     5     4     4     4     4     4     4     4     5\n",
      "[11,]     6     6     5     4     4     4     5     6     6     7    19    28\n",
      "[12,]     5     4     4     5     6     6    22    45    51    69    68    66\n",
      "[13,]     5     7     6    27    55    76    87    99    91   100    97    77\n",
      "[14,]    26    36    76    99   122   126   123   108    89    80    59    41\n",
      "[15,]    89   108   118   140   130   119   105    91    65    39    26    19\n",
      "[16,]   122   142   134   121   115   101    87    56    26    14    15    18\n",
      "[17,]   117    99   112   108    97    85    65    20    17    17    15    17\n",
      "[18,]   112    63    55    85    74    73    27    13    23    24    19    28\n",
      "[19,]    91    43    33    71    60    20    11    18    28    32    50    36\n",
      "[20,]    88    72    64    56    32    13    16    29    39    39    48    51\n",
      "[21,]    99    77    64    44    30    13    29    51    44    58    66    62\n",
      "[22,]    83    55    45    35    15    13    55    56    66    67    68    79\n",
      "[23,]    59    44    35    15    10    13    62    70    58    56    58    64\n",
      "[24,]    30    27    15     8     7     9    77    58    42    35    31    31\n",
      "[25,]    22    17     7     9     6    13    76    49    30    26    28    28\n",
      "[26,]    15     9     7     6     7    19    55    42    53    54    59    65\n",
      "[27,]    12     8     9     7     7    21    45    35    38    79   106    96\n",
      "[28,]    10     8     7     7    10    15    39    29    31    68    87    90\n",
      "[29,]     9     9     9     9     9    12    35    37    30    30    33    41\n",
      "[30,]     8     9     9     8     8     8    37    49    39    31    28    25\n",
      "[31,]     9     8    10    11     7     8    30    47    48    43    36    35\n",
      "[32,]    12     9     9     8     7     7    10    14    19    24    31    39\n",
      "[33,]    11     9     9     8     8     8     8    10     9     8    10    33\n",
      "[34,]    10     9     8     8     8     9    11     8     9     9    11    10\n",
      "[35,]    10    10     9     9    10    11     9    12    10    12    20    35\n",
      "[36,]    13     9    10    11    12    11    10     9    10    22    53    67\n",
      "[37,]    12    10     9    11    11    10    11     9    18    37    47    52\n",
      "[38,]    11    12    12    10    12    10    11    19    37    40    37    34\n",
      "[39,]    14    11    12     9    11    10    16    28    41    48    54    50\n",
      "[40,]    12    13    11    12    11    10    19    40    38    41    44    49\n",
      "[41,]    12    14    24    11    13    13    22    47    40    39    41    39\n",
      "[42,]    14    28    25    11    10    14    32    42    44    45    48    40\n",
      "[43,]    17    18    15    12    12    13    35    40    38    42    37    38\n",
      "[44,]    13    14    12    13    13    14    35    41    40    36    37    41\n",
      "[45,]    15    14    13    12    13    17    32    37    40    35    36    40\n",
      "[46,]    15    14    16    14    11    15    32    42    38    41    46    41\n",
      "[47,]    21    13    13    18    15    17    28    35    35    47    46    36\n",
      "[48,]    19    15    15    14    17    20    40    40    37    32    28    33\n",
      "[49,]    21    17    15    14    16    24    39    40    42    44    48    44\n",
      "[50,]    26    16    19    17    16    24    41    33    33    40    42    42\n",
      "[51,]    41    16    21    14    15    23    46    47    27    37    44    38\n",
      "[52,]    28    22    31    27    16    18    24    28    23    31    38    40\n",
      "[53,]    24    18    23    38    32    18    19    21    17    21    27    36\n",
      "[54,]    22    17    13    18    43    40    24    15    15    16    15    20\n",
      "[55,]    30    23    16    15    17    17    28    24    20    16    13    36\n",
      "[56,]    36    25    21    20    17    13    17    16    17    17    14    14\n",
      "[57,]    41    32    26    20    18    19    15    12    16    14    13    21\n",
      "[58,]    44    36    28    18    16    18    18    14    15    12    28    17\n",
      "[59,]    42    38    29    18    14    14    13    14    13    14    13    14\n",
      "[60,]    25    26    21    24    27    23    18    18    13    12    15    13\n",
      "[61,]    24    23    26    36    51    54    61    59    40    21    13    12\n",
      "[62,]    31    31    35    38    45    57    73    71    76    75    50    26\n",
      "[63,]    12    18    30    34    32    43    56    77    91    87    84    83\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]   100   116   131   149   147   148   144   150   154   155   149   159\n",
      " [2,]    20    39    68    95   111   121   128   132   131   134   138   136\n",
      " [3,]     8     8     7    10    23    45    79   106   130   144   145   152\n",
      " [4,]     6     6     6     6     8     8     7     6     5    10    18    20\n",
      " [5,]     6     6     5     6     6     6     6     6     6     6     8     8\n",
      " [6,]     6     6     6     6     5     5     6     6     6     6     6     5\n",
      " [7,]     6     6     6     5     5     6     6     5     5     5     6     7\n",
      " [8,]     5     5     5     6     8    13     7     7     7     8    10    17\n",
      " [9,]     4     4     5     5     8     8     7     8    19    34    32    28\n",
      "[10,]     6     6     6     7    12    20    13    46    53    41    28    21\n",
      "[11,]    38    40    40    28    20    18    45    72    74    58    27    36\n",
      "[12,]    66    54    50    44    37    35    60    79    73    36    97    89\n",
      "[13,]    66    47    26    21    22    21    34    39    17    50    64    74\n",
      "[14,]    24    19    21    22    19    17    17    16    18    20    37    24\n",
      "[15,]    18    26    26    19    17    23    21    17    22    24    28    24\n",
      "[16,]    19    31    29    26    16    19    23    19    29    40    52    48\n",
      "[17,]    20    16    21    27    32    32    27    33    42    57    51    65\n",
      "[18,]    27    28    34    49    54    54    54    53    59    68    83    86\n",
      "[19,]    40    44    45    51    61    69    67    63    78    82    97    89\n",
      "[20,]    54    67    78    79    85    81    90    88    94    85    71   102\n",
      "[21,]    75    75    87    78    77    70    83    92    95    97    67    66\n",
      "[22,]    79    97    73    74    39    96    94    95    88    93    50    20\n",
      "[23,]    58    65   102    95    95    93    97    97    88    47    22    10\n",
      "[24,]    35    35    34    67    84    91    91    91    51    22    12     7\n",
      "[25,]    26    24    26    50    67    46    53    30    18    12     7     6\n",
      "[26,]    37    24    26    43    63    57    38    30    14     7     6     6\n",
      "[27,]    58    37    24    35    34    54    67    21    10     7     7     6\n",
      "[28,]    68    34    31    71    94    33     9     8     7     7     8     8\n",
      "[29,]    25    20    33    68    15     8     7     8     8     9     8     9\n",
      "[30,]    20    24    29    12    10     8     8     7     9     8     9    10\n",
      "[31,]    43    33    13    11     7     8     9     8     9     9     9     9\n",
      "[32,]    64    13    16     8     8     8    10     9    10    11    10    10\n",
      "[33,]     8    14    11     8     9    10    10     9    10    10     9    11\n",
      "[34,]    12    25    21    18    18    20    14    12    19    13    14    15\n",
      "[35,]    58    43    39    35    31    23    21    20    19    20    23    20\n",
      "[36,]    54    49    50    37    33    27    33    21    23    28    27    35\n",
      "[37,]    38    40    40    34    32    36    27    26    20    18    26    32\n",
      "[38,]    27    38    39    25    25    26    22    20    13    14    11    17\n",
      "[39,]    35    42    38    33    33    19    21    15    17    12    12    13\n",
      "[40,]    41    38    37    34    23    21    17    17    16    20    21    18\n",
      "[41,]    41    36    35    36    34    30    24    32    13    22    26    29\n",
      "[42,]    47    37    37    40    43    39    24    27    20    29    34    32\n",
      "[43,]    36    35    37    37    26    18    15    27    31    29    33    24\n",
      "[44,]    37    38    32    28    15    16    27    30    31    23    22    24\n",
      "[45,]    34    36    40    38    19    22    20    29    23    18    22    21\n",
      "[46,]    38    37    40    38    26    18    18    23    23    18    20    18\n",
      "[47,]    40    32    21    21    17    23    20    29    28    20    31    32\n",
      "[48,]    36    26    28    29    24    32    37    34    35    27    26    31\n",
      "[49,]    33    29    36    26    26    40    34    39    40    26    25    36\n",
      "[50,]    32    31    30    29    39    31    36    33    29    33    32    36\n",
      "[51,]    32    32    25    33    37    41    41    36    39    35    37    41\n",
      "[52,]    43    38    33    31    40    42    41    39    40    39    28    29\n",
      "[53,]    30    39    43    35    38    30    20    21    21    29    15    18\n",
      "[54,]    33    10    18    17    17    20    27    29    29    11    62    35\n",
      "[55,]    28    34    34    36    36    33    34    33    36    34    19    36\n",
      "[56,]    18    26    31    35    34    34    36    35    35    33    35    22\n",
      "[57,]    12    14    20    28    31    34    33    33    34    36    33    33\n",
      "[58,]    41    19    19    15    25    29    33    35    35    33    35    34\n",
      "[59,]    37    64    36    21    13    20    30    32    35    35    35    34\n",
      "[60,]    11    25    70    66    45    18    15    24    32    35    35    37\n",
      "[61,]    11    12    10    23    78    90    58    17    16    18    22    22\n",
      "[62,]    17    11    10     9     9     7    51    60    35    24    10     9\n",
      "[63,]    76    38    18    11     9    15    26     7    10    38    52    48\n",
      "[64,]     0    46    51    59    46    10     7     9    13    20    26    20\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   147   147   154   160   154   136   155   155   153   149   158   177\n",
      " [2,]   132   138   145   140   141   144   147   151   157   164   174   171\n",
      " [3,]   149   152   157   154   158   160   157   150   110    52    23    17\n",
      " [4,]    36    40    50    36    16    13    10    11    13     9     6     5\n",
      " [5,]     8     9    10     9     7     6     6     6     6     6     6     5\n",
      " [6,]     6     6     6     6     6     6     6     6     6     5     5     5\n",
      " [7,]     8     9     8     8     8    10     9    10    11    11     9     5\n",
      " [8,]    24    29    33    33    32    29    22    25    24    37    26    12\n",
      " [9,]    26    25    22    25    25    27    26    36    52    73    79    73\n",
      "[10,]    24    31    38    44    42    28    34    70    84   105   102   112\n",
      "[11,]    50    45    42    34    17    30    47    66    91    96   116   128\n",
      "[12,]    64    44    28    14    13    20    32    36    38    42    51    62\n",
      "[13,]    73    36    19    12    13     9    10    12    10    10    10     9\n",
      "[14,]    23    32    15    13    13    10    12    12    13    15    17    13\n",
      "[15,]    24    21    14     9    13    11    12    16    13    12    11    14\n",
      "[16,]    35    28    30    25    13    22    36    48    58    57    25    15\n",
      "[17,]    64    41    37    32    18    41    52    71    73    65    66    70\n",
      "[18,]    95    67    46    20    12    14    16    21    37    40    40    44\n",
      "[19,]   101    58    32    11     9     7     5     5     6     6     6     7\n",
      "[20,]    77    16     6     6     5     4     4     4     4     4     4     5\n",
      "[21,]    15     9     5     4     5     5     5     4     4     4     4     5\n",
      "[22,]     9     6     5     5     5     5     4     5     4     5     5     5\n",
      "[23,]     9     5     5     5     6     6     6     7     7     8     7     7\n",
      "[24,]     6     6     6     6     8     8     8     9    10     9    10    10\n",
      "[25,]     6     7     8     8     7    10     9     9    11    10    10     9\n",
      "[26,]     7     8     8     9     8     9     9    10    11    10    12     9\n",
      "[27,]     8     9     9     9    10    11    10    10    10     9    10    10\n",
      "[28,]     9    10    10    10     9    11    11    10    11    10    10    10\n",
      "[29,]     9     9    10    10    10    10    10    10     9     9    10    10\n",
      "[30,]     9     9    11     9     9     8    11    10    10     9     9     9\n",
      "[31,]     9     9     9     9     9    10    10    10    10    10     9     8\n",
      "[32,]     9     9    10     9     9    11    10    10    10     9     9     9\n",
      "[33,]    10    10    10     9     9     9     8    10    10     9     9    10\n",
      "[34,]    19    21    21    18    15    14    16    12    16    16    20    22\n",
      "[35,]    32    13    17    45    34    20    24    26    21    20    26    25\n",
      "[36,]    32    20    28    47    44    41    32    29    31    43    17    17\n",
      "[37,]    31    25    23    26    32    37    40    31    35    21    23    21\n",
      "[38,]    20    27    28    27    26    28    34    36    35    11    26    36\n",
      "[39,]    15    18    20    18    20    33    34    34    43    24    21    29\n",
      "[40,]    20    17    16    16    25    32    30    33    27    39    37    37\n",
      "[41,]    31    27    18    21    31    33    33    42    26    31    31    29\n",
      "[42,]    27    31    24    28    28    36    33    17    29    34    42    37\n",
      "[43,]    18    25    29    36    39    37    20    20    41    43    39    21\n",
      "[44,]    24    28    29    33    37    23    22    39    49    43    29    17\n",
      "[45,]    21    22    17    36    32    21    38    47    55    48    35    33\n",
      "[46,]    22    22    21    34    15    23    36    53    50    48    48    37\n",
      "[47,]    31    23    39    25    26    13    42    50    55    55    46    45\n",
      "[48,]    39    39    29    14    32    21    20    37    45    45    53    43\n",
      "[49,]    43    35    19    18    27    19    11    14    20    21    15     9\n",
      "[50,]    35    24    18    43    37    19    16    12    32    44    38    38\n",
      "[51,]    28    20    42    50    38    16    26    36    36    29    32    35\n",
      "[52,]    47    58    31    57    41    18    37    36    31    30    34    34\n",
      "[53,]    26    18    47    58    41    26    42    33    28    30    30    34\n",
      "[54,]    26    27    50    54    40    37    43    39    34    26    29    46\n",
      "[55,]    24    35    53    52    30    44    36    36    35    36    44    40\n",
      "[56,]    26    46    54    55    22    40    37    34    37    33    40    42\n",
      "[57,]    32    36    15    61    27    37    38    39    38    38    37    37\n",
      "[58,]    34    33    32    17    28    37    39    40    36    40    37    35\n",
      "[59,]    35    35    36    31    31    36    40    40    40    39    39    37\n",
      "[60,]    35    36    33    26    56    18    36    40    40    40    41    40\n",
      "[61,]    15    28    28    46    59    45    33    25    43    37    31    41\n",
      "[62,]     6    19    29    49    67    78    67    37    32    58    54    45\n",
      "[63,]    44    22    13    12    15    15     9     9    11    12    15    30\n",
      "[64,]    17    13    15    20    20    26    30    26    15    13    22    27\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   181   201   168   118    26    20    16     7     7     7     7     8\n",
      " [2,]    97    32    12    12     7     5     6     6     6     7     7     9\n",
      " [3,]    15     9     6     5     6     7     6     6     5     5     7     7\n",
      " [4,]     5     5     5     5     5     6     6     6     6     6     7     7\n",
      " [5,]     5     6     5     6     5     6     5     6     6     5     6     7\n",
      " [6,]     5     5     5     4     5     5     4     4     5     5     6     6\n",
      " [7,]     4     4     5     4     4     4     4     4     4     5     5     5\n",
      " [8,]     8     7     6     4     4     4     4     4     4     4     5     4\n",
      " [9,]    56    42    28    19    13     8     7     5     5     7     8     7\n",
      "[10,]   103    89    78    82    80    78    65    71    56    41    26    15\n",
      "[11,]   145   145   146   141   131   129   120    88    48    25    39    62\n",
      "[12,]    80    94   102   108   116   118   100    78    27    35    60    84\n",
      "[13,]    11    16    19    25    35    41    38    29    17    38    68    88\n",
      "[14,]    12     9    10    10     9    10     9    14    35    52    63    77\n",
      "[15,]    16    14    15    18    16    15    17    14    19    23    28    42\n",
      "[16,]    14    13    10    10    10    11    13    10    13    17    25    36\n",
      "[17,]    54    34    26    18    13     8     8     8     9    20    32    41\n",
      "[18,]    47    49    38    30    26    30    41    39    12    38    63    77\n",
      "[19,]     7     8    17    28    32    28    30    27    17    52    71    77\n",
      "[20,]     5     4     5     6     6    13    21    24    26    40    53    70\n",
      "[21,]     5     4     4     4     5     8     8    14    48    64    69    64\n",
      "[22,]     5     5     5     5     5     5     5    10    21    42    52    62\n",
      "[23,]     7     7     7     6     5     5     4     5    10    19    24    47\n",
      "[24,]     9     8     7     6     5     5     5     6     9    14    11    40\n",
      "[25,]    10     8     8     8     8     6     6     6     7    11    19    32\n",
      "[26,]     9    10     8     8     8     8     6     6     6    12    15    12\n",
      "[27,]     8    10     9     8     7     8     7     7     8    16     9     8\n",
      "[28,]     9     9     9     8     8     8     7     7     8    24    12    12\n",
      "[29,]     9     9     8     9     8     8     8     8    12    23    16    15\n",
      "[30,]     9    10     9    10     8     8     8     8    21    47    39    13\n",
      "[31,]     8     9     8     9     9     7     8     9    30    70    42    20\n",
      "[32,]     9     8     8     8     8     9     9    25    60   100    27    11\n",
      "[33,]     9     8     9     8     9    10    32    38    67    53    24    10\n",
      "[34,]    20    15    17    10    15    41    33    26    37    31    12    27\n",
      "[35,]    28    31    22    12    65    29    12    19    23    29    27    11\n",
      "[36,]    15    17    16    47    33    23    28    26    20    21    23    17\n",
      "[37,]    30    17    32    22    30    22    21    22    47    26    50    48\n",
      "[38,]    36    32    20    24    34    14    14    21    40    36    20    10\n",
      "[39,]    23    13    17    13    13    14    43    31    18    23    13    19\n",
      "[40,]    27    20    31    27    20    14    11    12    15    10     9    17\n",
      "[41,]    15    22    25    20    25    16    13    21    15    13    18    31\n",
      "[42,]    20    31    31    11    12    11    14    26    25    24    17    32\n",
      "[43,]    23    24    13    16    25    23    27    27    25    13    13    16\n",
      "[44,]    19    23    32    32    26    25    28    28    26    20    18    19\n",
      "[45,]    22    30    35    30    23    25    27    20    11    15    19    17\n",
      "[46,]    30    28    31    32    36    33    28    10    21    33    42    19\n",
      "[47,]    33    30    29    35    31    30    26    20    28    26    15    13\n",
      "[48,]    29    20    27    16    18    15    12    28    21    17    11    11\n",
      "[49,]    13    17    31    19    15    46    40    36    31    13    13    10\n",
      "[50,]    31    38    31    17    66    62    30    16    23    14    14    16\n",
      "[51,]    34    46    46    39    42    58    28    29    24    19    18    14\n",
      "[52,]    28    59    48    53    50    43    35    32    22    16    15    17\n",
      "[53,]    48    67    62    43    38    40    42    38    23    19    21    19\n",
      "[54,]    73    64    55    42    36    35    51    34    21    16    16    31\n",
      "[55,]    49    45    42    34    39    37    51    38    22    19    23    27\n",
      "[56,]    33    30    36    37    37    41    53    44    20    14    17    11\n",
      "[57,]    34    36    37    36    39    47    47    22    11    13    14     8\n",
      "[58,]    33    39    37    41    50    58    37    16    15     9     7     8\n",
      "[59,]    37    39    39    43    52    36    27    14     9     6     6    11\n",
      "[60,]    39    35    49    47    70    42    15     8     6     6     9    10\n",
      "[61,]    48    44    32    24    19    20    15     9     6     8    11    13\n",
      "[62,]    30    19    22    24    23    19    12     6     5     7    13    13\n",
      "[63,]    22    21    24    21    20    18    10     7     6     8    12    11\n",
      "[64,]    28    23    21    22    20    15     8     5     4     5    12    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]     9    12    12\n",
      " [2,]     9    12    13\n",
      " [3,]     9    11    14\n",
      " [4,]    10    11    11\n",
      " [5,]     9     9    12\n",
      " [6,]     7     8    10\n",
      " [7,]     6     7     8\n",
      " [8,]     4     5     5\n",
      " [9,]     6     5     4\n",
      "[10,]    15     9    19\n",
      "[11,]    88   121   161\n",
      "[12,]   117   169   200\n",
      "[13,]   124   159   167\n",
      "[14,]    94   114   149\n",
      "[15,]    57    72   101\n",
      "[16,]    47    51    66\n",
      "[17,]    51    53    51\n",
      "[18,]    82    80    73\n",
      "[19,]    84    86    86\n",
      "[20,]    70    61    67\n",
      "[21,]    59    51    58\n",
      "[22,]    73    72    52\n",
      "[23,]    75    77    52\n",
      "[24,]    53    44    41\n",
      "[25,]    27    23    20\n",
      "[26,]    15    13     9\n",
      "[27,]    11     8     6\n",
      "[28,]    13    13     7\n",
      "[29,]    10    12    15\n",
      "[30,]     8    14    22\n",
      "[31,]     8     8    12\n",
      "[32,]    11    25    19\n",
      "[33,]    20    43    27\n",
      "[34,]    26    27    29\n",
      "[35,]    16    32    42\n",
      "[36,]    22    50    69\n",
      "[37,]    33    28    27\n",
      "[38,]    14    25    27\n",
      "[39,]    29    22    20\n",
      "[40,]    21    27    23\n",
      "[41,]    67    81    61\n",
      "[42,]    66    80    56\n",
      "[43,]    11     6     8\n",
      "[44,]    10    11    12\n",
      "[45,]    12    12    14\n",
      "[46,]    11    10    15\n",
      "[47,]    11    14    16\n",
      "[48,]    12    14    18\n",
      "[49,]    11    14    15\n",
      "[50,]    21    13    16\n",
      "[51,]    26    48    57\n",
      "[52,]    23    35    61\n",
      "[53,]    30    37    42\n",
      "[54,]    35    23    32\n",
      "[55,]    11    14    33\n",
      "[56,]    12    24    12\n",
      "[57,]     9    11    11\n",
      "[58,]    11    10    12\n",
      "[59,]    12    12    15\n",
      "[60,]    14    15    16\n",
      "[61,]    14    16    17\n",
      "[62,]    16    17    18\n",
      "[63,]    10    22    22\n",
      "[64,]    10     9    22\n",
      "\n",
      ", , 7, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   10   11   12   11   12   11   11   10   11    11    11    12    11\n",
      " [2,]   10   12   13   11   12   13   13   12   12    12    12    12    12\n",
      " [3,]   11   12   11   11   11   11   11   11   11    12    11    12    12\n",
      " [4,]   11   11   11   12   11   13   12   12   11    13    11    11    12\n",
      " [5,]   11   11   12   12   11   12   11   12   13    11    13    12    13\n",
      " [6,]   11   12   12   12   11   11   12   11   12    11    12    12    12\n",
      " [7,]   11   12   11   13   13   12   11   11   12    12    12    12    11\n",
      " [8,]   11   12   12   12   13   12   11   11   11    11    12    12    12\n",
      " [9,]   11   12   12   12   12   11   13   12   12    12    11    10    11\n",
      "[10,]   12   12   12   12   11   12   13   11   12    11    11    10     9\n",
      "[11,]   12   11   11   10   10   12   11   10   10    10     9     8     7\n",
      "[12,]   12   13   11   10   12   10   11    9    9     7     5     5     4\n",
      "[13,]   12   12   11   11   10    9    7    7    6     6     5     4     4\n",
      "[14,]   10   12   10   10    8    6    5    5    5     5     5     7     6\n",
      "[15,]   10   10    9    7    7    5    5    4    5     7     8    31    60\n",
      "[16,]   10    9    6    5    4    5    5    6   13    43    73   100   120\n",
      "[17,]    9    6    5    5    5    7   12   40   72   102   114   137   127\n",
      "[18,]    6    6    5    6    5   39   73  104  133   144   154   121   100\n",
      "[19,]    5    4    7   15   65  103  136  142  160   153   136    79   104\n",
      "[20,]    6    6   25   85  125  144  164  157  145   127    47    80    75\n",
      "[21,]    7   26   98  139  155  160  137  109   73    48    64    55    85\n",
      "[22,]   21   94  154  156  150  138  113   50   21    38    52    68    58\n",
      "[23,]   84  150  153  153  131  115   33   15   24    58    55    63    86\n",
      "[24,]  140  153  148   94   80   74   26   36   39    53    52    25    64\n",
      "[25,]  159  149  109   62   41   20   37   29   91    97    41    39    21\n",
      "[26,]  148  147   73   57   20   38   77   88   83    57    56    16    21\n",
      "[27,]  149  129  103   58   46   39   57   95   99    56    30    21    15\n",
      "[28,]  143  123  122   49   27   46   54   81   84    56    24    24    13\n",
      "[29,]  145  128  100  103   45   69   80   81   57    29    13    13    11\n",
      "[30,]  140  126  119  101   71   78   80   59   51    31    19    15    10\n",
      "[31,]  139  123  107   88   92   89   72   65   53    35    23    11     8\n",
      "[32,]  134  121  100  111   93   97   85   60   50    37    19    10    11\n",
      "[33,]  132  107   95  118  103   79   69   50   44    34    15    12    11\n",
      "[34,]  133  122  100  105   94   74   67   62   50    36    19    12    10\n",
      "[35,]  132  121   85   83   84   74   73   71   58    44    27    15    11\n",
      "[36,]  127  119   80   83   82   89   89   75   67    53    35    13    13\n",
      "[37,]  123  122   84   84   88   90   90   76   62    46    23    12    15\n",
      "[38,]  107  122  101   76   70   70   84   86   65    48    20    16    12\n",
      "[39,]   83  117  103   67   90   70   87   84   62    42    23    14    15\n",
      "[40,]   73  121  117   93   49   49   81   72   66    45    30    27    21\n",
      "[41,]   62  107  128  115   69   21   17   23   47    39    32    36    17\n",
      "[42,]   52   91  113   76   22   23   12   14   15    25    32    36    17\n",
      "[43,]   41   67  113   90   23   14   15   18   15    25    42    43    24\n",
      "[44,]   22   45  108  106   83   12   14   19   22    40    40    32    20\n",
      "[45,]   14   23   79  105   94   34   14   27   33    56    62    42    35\n",
      "[46,]   17   16   36   97   90   62   28   30   56    63    74    50    35\n",
      "[47,]   53   14   22   83   85   69   56   60   67    39    76    63    37\n",
      "[48,]   83   20   26   54   75   67   61   62   54    49    40    57    44\n",
      "[49,]   91   51   28   46   62   57   64   52   65    59    49    34    19\n",
      "[50,]  103   73   20   40   44   52   55   55   53    56    62    53    51\n",
      "[51,]  112   83   15   30   32   49   49   44   47    53    48    41    43\n",
      "[52,]  135   90   24   19   20   30   34   37   37    36    33    33    38\n",
      "[53,]  146   93   48   33   28   27   27   25   22    26    21    22    21\n",
      "[54,]  155   97   71   65   52   36   31   30   20    18    22    30    27\n",
      "[55,]  153  101   79   71   73   53   45   44   28    35    36    42    40\n",
      "[56,]  154  102   83   67   73   66   59   53   52    38    44    48    49\n",
      "[57,]  152  103   70   61   66   67   65   62   65    54    47    51    49\n",
      "[58,]  137   99   61   41   57   59   64   68   68    62    57    53    53\n",
      "[59,]  117   87   51   24   37   54   60   60   61    53    53    47    44\n",
      "[60,]   94   83   44   12   13   25   51   51   45    33    35    33    28\n",
      "[61,]   82   72   37    9    9   11   13   22   32    21    17    18    20\n",
      "[62,]   75   50   24   10    9    8    9   10    9    13    11    13    23\n",
      "[63,]   61   45   22   10    9    9    9    7    9     9    10    10    10\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    10    10    10    10    10     9     9     9     8    20    45    79\n",
      " [2,]    12    12    11    11    10     9     8     8     7     8     7     7\n",
      " [3,]    12    12    12    10     9     9     9     8     7     7     7     7\n",
      " [4,]    11    12    10    10    10     9     8     8     7     8     6     6\n",
      " [5,]    12    11    11    11    10     9     8     7     7     6     6     5\n",
      " [6,]    12    12    12     9    10     9     9     7     6     6     6     7\n",
      " [7,]    13    11    10    11    10     9     8     7     6     6     6     6\n",
      " [8,]    12    11    11    10     7     7     8     6     5     6     6     6\n",
      " [9,]    10     9     8     7     6     6     6     5     5     5     5     5\n",
      "[10,]     8     7     6     5     5     4     5     4     4     4     4     5\n",
      "[11,]     7     5     5     4     4     4     4     6     7     7    16    26\n",
      "[12,]     4     4     4     6     7     6    22    45    51    67    67    67\n",
      "[13,]     5     6     7    27    55    77    88   100    90   100    96    79\n",
      "[14,]    26    36    77    98   124   128   124   110    88    79    61    43\n",
      "[15,]    91   109   119   140   131   119   105    91    64    40    25    20\n",
      "[16,]   123   144   134   120   115   101    87    54    27    16    16    18\n",
      "[17,]   118    99   112   106    96    83    65    20    18    19    16    17\n",
      "[18,]   115    61    55    84    74    74    28    14    22    24    19    28\n",
      "[19,]    91    44    32    71    60    21    11    18    28    30    50    38\n",
      "[20,]    88    72    66    56    33    15    14    30    38    40    48    54\n",
      "[21,]   100    75    63    46    28    13    28    52    49    55    71    71\n",
      "[22,]    81    54    45    34    16    12    49    60    67    70    72    80\n",
      "[23,]    60    44    35    16     9     8    52    69    58    50    63    58\n",
      "[24,]    30    27    15     8     7     7    64    65    42    37    32    31\n",
      "[25,]    22    17     8     7     7     8    66    55    32    27    31    31\n",
      "[26,]    14    10     7     7     7    12    45    42    36    57    59    67\n",
      "[27,]    11     8    10     8     9    14    36    39    29    62    94   109\n",
      "[28,]     8     8     7     8     8    10    27    37    31    37    45    59\n",
      "[29,]     9     8     8     8     9     9    24    45    37    27    26    23\n",
      "[30,]     7    10    12     9     9     7    21    55    46    40    34    29\n",
      "[31,]     8     9     9     9     8     8    19    33    40    37    35    38\n",
      "[32,]    11     9     9     8     8     8     8     8    10    12    12    25\n",
      "[33,]    11    10     7     8     9     8     8     9     8     7     9    12\n",
      "[34,]    11    11     9    10     9    11    10    10    10    10    11    12\n",
      "[35,]    10    10    10    10    17    11    10    14    10    11    22    43\n",
      "[36,]    11    10    10    10    11    11    12     9    11    25    51    62\n",
      "[37,]    11    10    10    10    15    11    10    11    22    35    43    53\n",
      "[38,]    13    10    12    12    12    11    13    19    33    38    37    33\n",
      "[39,]    17    14    12    10    11    11    16    31    45    48    52    46\n",
      "[40,]    12    13    12    10    10    11    17    40    42    44    46    45\n",
      "[41,]    12    13    24    13    13    12    23    45    44    41    44    42\n",
      "[42,]    16    24    21    12    11    13    34    40    37    43    43    40\n",
      "[43,]    17    19    12    12    12    13    32    43    39    41    34    43\n",
      "[44,]    15    13    12    13    13    17    36    42    42    39    38    44\n",
      "[45,]    15    16    12    13    13    14    36    37    39    38    38    40\n",
      "[46,]    17    12    13    14    12    15    33    43    38    40    44    41\n",
      "[47,]    18    14    13    16    13    16    28    35    38    49    43    39\n",
      "[48,]    24    15    15    13    15    24    39    35    36    31    29    38\n",
      "[49,]    24    15    15    16    14    23    38    38    41    43    45    43\n",
      "[50,]    25    16    21    14    16    23    43    35    35    42    40    36\n",
      "[51,]    36    19    22    14    18    24    44    45    28    40    43    38\n",
      "[52,]    30    21    33    27    18    18    25    28    26    29    38    42\n",
      "[53,]    24    17    24    37    33    20    19    22    17    21    28    37\n",
      "[54,]    18    16    15    16    46    37    26    18    16    18    16    15\n",
      "[55,]    32    24    15    18    16    19    27    27    21    19    14    33\n",
      "[56,]    36    25    21    19    18    16    20    17    17    15    16    16\n",
      "[57,]    43    31    28    19    20    18    15    11    16    14    14    21\n",
      "[58,]    49    37    29    20    17    15    17    15    16    12    22    18\n",
      "[59,]    40    36    31    20    15    15    14    14    14    15    13    14\n",
      "[60,]    27    23    23    27    26    23    19    16    14    14    15    13\n",
      "[61,]    21    21    27    36    50    56    61    57    43    23    11    12\n",
      "[62,]    31    28    35    39    46    57    71    73    75    76    54    26\n",
      "[63,]    13    20    28    34    35    44    58    74    95    87    83    85\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]   100   118   130   147   149   150   144   151   153   158   153   160\n",
      " [2,]    22    38    67    97   111   122   129   133   132   133   137   137\n",
      " [3,]     8     7     7    10    25    45    80   105   131   143   148   152\n",
      " [4,]     5     6     5     7     8     9     9     6     7    12    19    23\n",
      " [5,]     6     6     6     6     6     6     6     7     6     6     8     8\n",
      " [6,]     5     5     5     6     6     6     6     6     5     5     6     6\n",
      " [7,]     5     5     6     5     6     5     5     5     5     6     6     6\n",
      " [8,]     5     5     4     6     8    12     8     6     7     8     9    16\n",
      " [9,]     5     4     4     5     8     9     8     8    21    34    31    27\n",
      "[10,]     6     6     6     8    11    19    13    46    51    40    27    21\n",
      "[11,]    38    39    41    29    20    18    47    71    75    57    27    33\n",
      "[12,]    65    55    49    43    38    35    61    79    74    34    95    88\n",
      "[13,]    67    47    26    22    22    21    31    38    16    50    63    73\n",
      "[14,]    25    19    20    22    19    17    18    15    20    19    35    24\n",
      "[15,]    20    26    26    19    18    22    22    16    22    23    27    22\n",
      "[16,]    19    30    29    27    16    21    22    19    27    38    48    48\n",
      "[17,]    22    17    23    27    30    32    26    33    42    52    51    64\n",
      "[18,]    25    25    31    45    54    52    52    51    56    70    85    91\n",
      "[19,]    38    46    46    52    67    74    67    65    78    83   103   102\n",
      "[20,]    57    71    86    86    93    87    94    86    89    74    75   126\n",
      "[21,]    81    86    85    84    76    72    85    91    93    90    77    55\n",
      "[22,]    84    90    77    82    54   103   101    95    93    75    51    16\n",
      "[23,]    64    59    93    98    97    96   100    94    74    41    16    10\n",
      "[24,]    35    35    41    63    78    88    90    82    35    15     9     7\n",
      "[25,]    27    28    28    52    76    62    40    25    14    12     6     6\n",
      "[26,]    36    26    26    36    48    38    42    26    11     6     7     6\n",
      "[27,]    75    35    29    44    57    93    30    27     7     6     7     7\n",
      "[28,]    44    28    39    81    96     9     8     7     7     6     8     8\n",
      "[29,]    24    22    45    59     5     9     8     8     7     7     9     8\n",
      "[30,]    31    30    19    15     8     8     8     8    10     9    10     9\n",
      "[31,]    57    20    21     9     7     8     8    10     8     9    10     9\n",
      "[32,]    41    17    11     9     9     8     8     9     9     9    10     8\n",
      "[33,]    11    10     9    10     9     9    11    10    10    10     9     9\n",
      "[34,]    16    27    19    17    19    16    13    12    20    15    16    16\n",
      "[35,]    59    41    37    39    29    28    18    22    25    25    21    24\n",
      "[36,]    56    48    49    36    32    29    28    21    23    29    27    35\n",
      "[37,]    38    46    41    34    32    36    27    26    18    18    25    32\n",
      "[38,]    29    41    37    29    26    24    19    18    14    14    12    18\n",
      "[39,]    37    35    39    33    32    20    16    14    14    14    16    13\n",
      "[40,]    40    39    38    33    25    21    20    19    18    20    20    18\n",
      "[41,]    42    41    38    35    35    26    22    31    16    19    25    30\n",
      "[42,]    46    38    39    40    45    38    25    23    20    25    29    30\n",
      "[43,]    35    35    34    36    19    15    14    32    29    34    35    23\n",
      "[44,]    34    40    33    28    13    15    27    30    29    25    22    26\n",
      "[45,]    37    38    37    34    20    23    22    27    27    22    25    19\n",
      "[46,]    39    37    41    34    24    16    18    24    26    18    18    19\n",
      "[47,]    43    34    21    22    19    23    22    30    27    21    30    31\n",
      "[48,]    34    27    22    26    23    31    35    33    35    27    29    31\n",
      "[49,]    30    27    31    26    24    41    36    37    36    26    27    35\n",
      "[50,]    31    28    28    30    39    29    32    31    27    37    30    38\n",
      "[51,]    35    36    30    37    35    38    39    37    40    34    35    36\n",
      "[52,]    40    39    32    31    38    40    40    41    40    36    29    28\n",
      "[53,]    31    37    37    36    38    31    20    18    22    26    18    16\n",
      "[54,]    26    10    17    20    20    22    25    29    29    14    63    33\n",
      "[55,]    30    31    34    34    32    35    33    36    36    35    20    40\n",
      "[56,]    19    27    32    32    33    31    36    38    38    35    34    24\n",
      "[57,]    13    18    19    27    33    34    31    35    34    36    35    32\n",
      "[58,]    41    21    17    15    25    30    33    32    34    34    34    35\n",
      "[59,]    38    65    36    20    13    23    32    34    35    34    35    34\n",
      "[60,]    11    27    70    69    44    21    16    24    32    36    35    36\n",
      "[61,]    12    13     9    20    77    88    59    16    14    18    19    21\n",
      "[62,]    19    11     9     9     9     7    49    62    34    26    10     9\n",
      "[63,]    76    40    20    11     9    15    25     9    10    37    51    48\n",
      "[64,]     0    44    52    60    45    10     9     9    11    21    26    20\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   146   146   154   162   152   137   156   151   152   151   158   177\n",
      " [2,]   133   139   143   138   141   143   149   152   157   165   177   171\n",
      " [3,]   148   153   160   155   161   162   157   148   110    51    24    17\n",
      " [4,]    36    38    50    36    16    12    12    12    14     9     7     6\n",
      " [5,]     8     9    11    10     7     7     6     6     6     6     6     6\n",
      " [6,]     6     6     6     6     6     6     6     5     6     5     5     5\n",
      " [7,]     8     8     7     8     9     9     8    10     9    10     9     5\n",
      " [8,]    24    28    32    32    30    28    22    24    24    36    24    11\n",
      " [9,]    25    22    21    24    26    27    27    36    53    72    80    73\n",
      "[10,]    23    31    38    42    43    29    34    71    84   105   101   113\n",
      "[11,]    48    44    42    33    17    30    47    68    93    99   116   128\n",
      "[12,]    62    42    27    14    13    21    32    37    37    43    51    62\n",
      "[13,]    70    36    18    12    12    11     9    12    11    10     9     9\n",
      "[14,]    23    30    14    14    13    10    13    14    14    16    16    13\n",
      "[15,]    23    21    13    10    15    13    12    15    12    14    11    15\n",
      "[16,]    32    27    27    24    13    23    37    47    57    57    25    16\n",
      "[17,]    62    37    39    31    21    43    51    71    74    65    67    72\n",
      "[18,]    95    64    40    15    11    14    15    22    37    40    41    45\n",
      "[19,]   110    43    28    10     9     6     6     5     6     6     6     6\n",
      "[20,]    52    11     6     6     4     4     4     4     4     4     4     4\n",
      "[21,]    12     7     5     5     5     5     5     5     4     4     5     5\n",
      "[22,]     9     5     6     6     5     5     5     4     5     5     5     5\n",
      "[23,]     6     5     6     6     5     7     6     7     6     7     7     7\n",
      "[24,]     6     6     6     7     7     7     9     9    10     9    10     9\n",
      "[25,]     6     6     7     7     9     9     9    10    10    10     9    10\n",
      "[26,]     7     8    10    10     9    11    10    10    10    10    10     9\n",
      "[27,]     7     8    10    10    10    10    10    11    10    10    10     9\n",
      "[28,]     9     8    10    10    10    10    10    11    10     9    11     9\n",
      "[29,]    11     9     9    10    10     9    10    10     8    11    10     9\n",
      "[30,]    10     9    10    10    10    10    10    10    10    11     8    10\n",
      "[31,]    10    10    10    10    10    10     9     9    10    10     9     9\n",
      "[32,]     9    10     9    10     9     9    10    10    12    11     9     8\n",
      "[33,]     9    10     9    10     9     8     9     9    10     9     9     9\n",
      "[34,]    21    21    24    19    19    14    17    15    18    17    23    22\n",
      "[35,]    29    14    18    48    39    17    21    26    20    21    26    26\n",
      "[36,]    31    21    28    43    42    41    30    32    32    44    16    15\n",
      "[37,]    28    26    25    26    30    34    38    31    36    17    22    24\n",
      "[38,]    22    31    30    25    25    30    37    37    36    13    25    34\n",
      "[39,]    15    19    22    18    20    33    38    35    41    31    22    28\n",
      "[40,]    23    17    15    16    24    32    31    33    21    41    42    36\n",
      "[41,]    30    22    18    22    33    32    32    43    34    32    33    31\n",
      "[42,]    26    33    22    24    33    34    35    14    30    34    44    32\n",
      "[43,]    17    23    29    39    35    34    17    26    40    45    35    23\n",
      "[44,]    22    25    28    32    40    18    23    41    48    45    29    21\n",
      "[45,]    20    25    22    38    28    23    38    46    53    43    32    30\n",
      "[46,]    23    22    24    34    17    22    39    56    54    48    49    40\n",
      "[47,]    31    25    41    23    27    16    42    49    55    53    47    47\n",
      "[48,]    43    42    25    16    32    18    21    34    46    46    56    46\n",
      "[49,]    41    36    20    20    27    19    12    17    20    22    14    12\n",
      "[50,]    36    23    21    43    34    22    17    12    35    48    44    41\n",
      "[51,]    28    18    43    51    38    14    27    34    36    31    32    35\n",
      "[52,]    51    59    33    55    41    19    35    38    32    31    32    34\n",
      "[53,]    29    17    47    57    40    25    41    34    29    29    28    36\n",
      "[54,]    25    27    53    56    37    37    43    42    34    28    32    48\n",
      "[55,]    26    38    53    56    31    43    37    36    33    37    43    36\n",
      "[56,]    24    44    57    56    25    39    37    35    36    37    40    43\n",
      "[57,]    31    34    15    61    29    37    38    41    37    38    38    37\n",
      "[58,]    33    36    33    15    26    37    39    41    36    39    37    36\n",
      "[59,]    36    35    36    31    32    37    39    40    41    38    38    35\n",
      "[60,]    34    34    33    27    62    20    36    40    40    42    41    38\n",
      "[61,]    18    26    29    47    58    45    33    25    44    38    30    40\n",
      "[62,]     7    20    30    47    67    78    66    37    31    57    52    42\n",
      "[63,]    44    21    10    12    14    15     9     9    11    10    16    29\n",
      "[64,]    18    16    17    21    20    23    31    26    14    13    22    26\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   186   203   167   118    28    20    18     6     6     7     7     8\n",
      " [2,]    96    31    11    12     8     6     7     5     6     6     7     9\n",
      " [3,]    14    10     6     6     6     6     6     5     6     6     7     8\n",
      " [4,]     6     5     5     5     6     5     6     6     6     6     7     7\n",
      " [5,]     6     5     5     5     5     5     6     5     6     6     6     7\n",
      " [6,]     5     5     5     4     4     5     4     5     5     5     5     6\n",
      " [7,]     4     5     5     4     4     5     4     4     4     5     5     6\n",
      " [8,]     8     7     5     4     4     4     4     4     4     5     4     5\n",
      " [9,]    56    41    28    19    12     9     7     5     5     7     8     7\n",
      "[10,]   103    89    78    82    81    77    63    70    58    41    26    15\n",
      "[11,]   146   145   146   141   132   130   120    86    48    26    40    63\n",
      "[12,]    80    94   103   108   116   118   101    77    27    35    60    86\n",
      "[13,]    12    16    19    24    36    41    38    30    16    40    69    88\n",
      "[14,]    11     9    10    10    10    10    10    15    34    53    64    78\n",
      "[15,]    16    14    15    17    17    14    17    14    21    24    29    43\n",
      "[16,]    13    13    10     9    10    11    12     9    12    16    24    37\n",
      "[17,]    54    34    26    20    13     9     9     7     9    19    31    41\n",
      "[18,]    47    50    38    30    28    30    41    37    11    39    64    80\n",
      "[19,]     6     8    17    29    33    28    30    27    17    51    72    77\n",
      "[20,]     5     5     5     5     6    14    22    26    27    42    54    69\n",
      "[21,]     5     4     4     5     6     8     8    14    47    64    69    63\n",
      "[22,]     5     5     5     5     5     5     6    10    22    44    54    63\n",
      "[23,]     7     6     6     5     5     4     4     4    10    20    25    49\n",
      "[24,]    10     8     8     7     5     5     5     5     9    14    12    42\n",
      "[25,]    10     9     8     7     8     6     6     6     6    10    19    31\n",
      "[26,]     9    11     9     8     7     7     7     7     6    10    14    14\n",
      "[27,]     9    10     9     8     8     7     7     8     8    15    11     8\n",
      "[28,]     8     8     8     8     9     8     8     8     9    24    11    12\n",
      "[29,]    10    10     9    10     8     8     8     8    13    26    17    15\n",
      "[30,]    10    10     8    10     8     8     7     8    22    48    34    12\n",
      "[31,]    10     9     9     8     9     7     9    10    33    77    38    17\n",
      "[32,]     8     9     8     8     9     9    12    27    69    89    23    11\n",
      "[33,]    10     9    11    10     9    11    34    40    66    45    24    13\n",
      "[34,]    20    15    18    10    16    43    33    25    33    25    13    27\n",
      "[35,]    25    30    22    15    73    20    12    18    24    33    31    10\n",
      "[36,]    13    16    14    53    32    25    26    24    23    22    32    24\n",
      "[37,]    30    19    29    23    27    24    16    24    44    28    49    43\n",
      "[38,]    39    29    22    27    30    11    13    23    42    24    24    11\n",
      "[39,]    22    12    21    12    13    20    41    34    13    19    13    24\n",
      "[40,]    21    14    30    24    15    14    12    12    15    11     9    16\n",
      "[41,]    16    23    23    21    23    16    13    23    21    11    18    38\n",
      "[42,]    18    31    29    10    11    12    15    26    24    22    17    36\n",
      "[43,]    22    23    10    21    27    25    29    27    26    12    12    17\n",
      "[44,]    16    26    33    30    30    26    25    27    28    23    19    20\n",
      "[45,]    24    29    32    32    23    28    27    21    11    15    20    19\n",
      "[46,]    29    27    37    32    33    32    31    10    20    33    44    24\n",
      "[47,]    34    29    30    30    30    32    24    19    26    28    12    13\n",
      "[48,]    30    24    25    17    23    18    11    28    21    15    11    12\n",
      "[49,]    13    20    29    21    17    47    39    33    32    14    12     9\n",
      "[50,]    32    37    31    18    67    65    31    15    25    14    11    17\n",
      "[51,]    33    46    46    38    42    58    28    27    26    20    18    17\n",
      "[52,]    30    60    48    55    50    43    35    36    23    17    16    17\n",
      "[53,]    48    65    62    43    39    42    43    36    25    19    18    20\n",
      "[54,]    73    63    54    43    35    35    50    34    23    18    19    34\n",
      "[55,]    47    48    41    33    37    36    53    38    22    22    24    23\n",
      "[56,]    34    32    37    38    36    41    51    43    19    15    21    10\n",
      "[57,]    35    36    37    36    38    48    47    22    11    13    14     7\n",
      "[58,]    35    39    38    40    51    61    35    15    13    12     6     9\n",
      "[59,]    37    39    41    46    56    36    24    12     8     7     6    12\n",
      "[60,]    39    35    46    48    71    39    14     8     5     5     9    11\n",
      "[61,]    47    43    33    25    20    20    15    10     6     7    10    13\n",
      "[62,]    30    21    23    22    22    17    10     5     6     8    12    14\n",
      "[63,]    22    20    23    21    19    17    11     6     5     7    12    11\n",
      "[64,]    28    24    23    21    20    15     6     4     4     6    12    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]     9    11    13\n",
      " [2,]    11    11    14\n",
      " [3,]     8    12    12\n",
      " [4,]    10    10    11\n",
      " [5,]     8     9    12\n",
      " [6,]     7     9     9\n",
      " [7,]     5     8     8\n",
      " [8,]     4     5     5\n",
      " [9,]     6     5     5\n",
      "[10,]    13     8    21\n",
      "[11,]    90   121   160\n",
      "[12,]   118   172   199\n",
      "[13,]   124   161   168\n",
      "[14,]    94   114   150\n",
      "[15,]    56    74   101\n",
      "[16,]    49    52    65\n",
      "[17,]    52    53    51\n",
      "[18,]    81    79    72\n",
      "[19,]    83    85    85\n",
      "[20,]    69    61    67\n",
      "[21,]    59    49    57\n",
      "[22,]    73    69    53\n",
      "[23,]    74    77    53\n",
      "[24,]    51    45    42\n",
      "[25,]    27    21    19\n",
      "[26,]    16    13     7\n",
      "[27,]    11     8     5\n",
      "[28,]    12    12     7\n",
      "[29,]    11    14    15\n",
      "[30,]    10    14    21\n",
      "[31,]     8    11    11\n",
      "[32,]    10    26    20\n",
      "[33,]    24    39    26\n",
      "[34,]    29    26    34\n",
      "[35,]    19    37    52\n",
      "[36,]    25    56    72\n",
      "[37,]    32    30    25\n",
      "[38,]    14    25    26\n",
      "[39,]    25    23    20\n",
      "[40,]    30    44    31\n",
      "[41,]    71    81    66\n",
      "[42,]    71    81    57\n",
      "[43,]    10     7     8\n",
      "[44,]    12    12    13\n",
      "[45,]    11    10    14\n",
      "[46,]    11    12    16\n",
      "[47,]    13    13    17\n",
      "[48,]    13    12    17\n",
      "[49,]    13    14    17\n",
      "[50,]    23    17    15\n",
      "[51,]    22    49    56\n",
      "[52,]    23    36    62\n",
      "[53,]    32    36    44\n",
      "[54,]    33    25    34\n",
      "[55,]    11    14    33\n",
      "[56,]    12    23    10\n",
      "[57,]     9    12    11\n",
      "[58,]    12     9    11\n",
      "[59,]    12    12    15\n",
      "[60,]    14    15    16\n",
      "[61,]    14    16    17\n",
      "[62,]    16    17    18\n",
      "[63,]    10    21    23\n",
      "[64,]    10    10    23\n",
      "\n",
      ", , 8, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   11   11   12   11   13   11   11   11   10    11    13    13    10\n",
      " [2,]   11   12   11   11   11   12   12   12   10    12    12    11    12\n",
      " [3,]   12   11   11   12   11   13   12   11   12    10    11    12    13\n",
      " [4,]   12   12   11   11   11   12   11   12   11    11    12    12    12\n",
      " [5,]   12   11   11   12   11   12   12   11   12    13    12    10    12\n",
      " [6,]   13   12   12   12   11   12   12   13   12    12    11    12    11\n",
      " [7,]   11   11   13   12   11   11   11   11   11    10    11    12    11\n",
      " [8,]   11   11   12   12   11   12   12   11   11    12    11    12    11\n",
      " [9,]   11   12   13   11   11   12   11   12   12    11    12    11    12\n",
      "[10,]   11   11   11   11   12   12   12   12   12    11     9    10    10\n",
      "[11,]   12   11   12   11   11   11   11   10   10     9     9     7     7\n",
      "[12,]   11   10   11   12   11   11   10    8    7     7     6     4     5\n",
      "[13,]   11   11   12   10    9    9    7    7    7     5     5     4     5\n",
      "[14,]   11   11   12   10    8    6    5    5    5     5     4     6     6\n",
      "[15,]   12    9    9    8    6    5    4    4    5     6     9    31    59\n",
      "[16,]   10    8    6    5    5    5    5    6   11    43    72    99   120\n",
      "[17,]    8    7    6    5    5    7   11   40   71   102   112   135   124\n",
      "[18,]    6    5    5    5    5   39   72  102  133   142   155   120   102\n",
      "[19,]    5    5    7   16   65  103  133  140  159   155   134    78   105\n",
      "[20,]    5    7   26   82  123  143  163  155  147   127    48    80    74\n",
      "[21,]    7   27   96  138  154  160  139  111   74    51    64    56    84\n",
      "[22,]   19   94  155  157  149  136  112   53   21    37    52    70    58\n",
      "[23,]   85  150  152  153  132  117   34   15   24    57    53    62    88\n",
      "[24,]  139  152  146   93   81   76   28   35   40    51    50    23    67\n",
      "[25,]  157  149  108   61   39   23   35   27   87    99    42    39    20\n",
      "[26,]  147  146   74   58   21   38   78   91   81    56    58    15    19\n",
      "[27,]  150  128  104   60   45   37   55   93  100    57    32    21    16\n",
      "[28,]  142  122  122   50   27   44   55   78   86    55    23    21    14\n",
      "[29,]  142  124  101  103   44   68   79   81   57    28    13    12    10\n",
      "[30,]  141  127  119  100   71   79   79   59   48    32    19    13     8\n",
      "[31,]  138  124  108   88   94   87   73   65   53    34    23    12    10\n",
      "[32,]  134  119  102  111   94   98   85   61   53    37    18     9    11\n",
      "[33,]  131  108   93  115  102   79   67   50   45    35    17    11     9\n",
      "[34,]  130  120  103  103   93   72   68   63   50    37    19    12    10\n",
      "[35,]  128  117   83   83   86   72   73   69   59    44    27    14    12\n",
      "[36,]  127  117   79   80   83   87   89   76   67    52    34    14    12\n",
      "[37,]  123  119   84   85   88   88   89   73   63    44    25    11    14\n",
      "[38,]  106  122  100   74   69   68   82   86   62    47    21    17    11\n",
      "[39,]   85  117  106   68   87   69   85   85   63    41    25    15    15\n",
      "[40,]   74  123  116   92   49   50   82   69   66    46    32    23    20\n",
      "[41,]   63  108  123  114   61   18   18   25   44    38    31    34    17\n",
      "[42,]   52   91  107   75   22   20   16   15   14    25    34    36    16\n",
      "[43,]   41   67  108   90   23   13   14   14   14    25    39    40    23\n",
      "[44,]   23   49  107  103   81   10   13   15   25    41    40    34    24\n",
      "[45,]   13   22   81  105   94   36   18   26   34    55    63    41    31\n",
      "[46,]   18   16   40   98   86   65   28   32   54    62    72    48    33\n",
      "[47,]   49   15   23   79   80   70   55   63   66    35    78    63    39\n",
      "[48,]   83   21   24   55   73   63   59   58   58    49    41    55    44\n",
      "[49,]   89   49   31   42   65   55   64   49   65    60    46    37    20\n",
      "[50,]  104   69   21   41   47   56   52   54   53    59    62    54    50\n",
      "[51,]  111   82   14   28   31   48   51   50   49    53    50    41    47\n",
      "[52,]  132   89   24   20   22   30   34   36   37    38    34    39    37\n",
      "[53,]  147   90   49   33   27   22   26   21   23    23    20    19    21\n",
      "[54,]  150  100   73   62   53   34   30   29   18    18    24    28    30\n",
      "[55,]  154  102   80   71   70   49   45   43   29    34    36    43    35\n",
      "[56,]  153  101   80   66   70   67   56   52   50    41    44    48    49\n",
      "[57,]  151  102   70   59   68   64   66   63   66    53    49    48    54\n",
      "[58,]  136   97   58   41   55   55   62   66   65    62    55    52    51\n",
      "[59,]  117   89   52   23   36   55   58   57   64    53    48    48    43\n",
      "[60,]   95   81   42   13   12   26   52   52   44    33    35    32    27\n",
      "[61,]   81   70   35   10    9   11   15   24   34    21    18    19    20\n",
      "[62,]   76   51   21   10   10    9    9    9   10    13    11    13    22\n",
      "[63,]   59   47   22    9    9    8    8   10    9     9     9     8     8\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    11    10    11    10     9    10     9     8    10    21    47    77\n",
      " [2,]    11    11    11    11     9     8     9     7     8     8     8     7\n",
      " [3,]    12    12    10    10     9     9     8     8     7     7     7     8\n",
      " [4,]    11    12    11    12    10    10     8     7     7     6     6     6\n",
      " [5,]    11    12    11    10     9     9     9     7     7     6     6     6\n",
      " [6,]    11    11    13    10    10    10     8     7     6     6     7     6\n",
      " [7,]    12    10    10    10    10     9     7     8     6     6     6     6\n",
      " [8,]    11    10    11    11    10     7     7     6     6     5     6     5\n",
      " [9,]    10     8     9     7     6     7     6     5     5     5     4     5\n",
      "[10,]     9     7     5     5     5     4     4     4     4     4     4     5\n",
      "[11,]     6     6     5     4     4     4     4     6     7     7    15    27\n",
      "[12,]     4     4     5     5     7     5    21    46    49    66    67    65\n",
      "[13,]     5     6     7    27    55    76    86    98    90   100    97    78\n",
      "[14,]    25    36    75    98   123   127   125   108    88    81    61    44\n",
      "[15,]    89   108   119   140   131   119   106    90    65    40    26    19\n",
      "[16,]   123   145   137   122   114   102    86    56    28    15    17    18\n",
      "[17,]   120    99   111   109    98    85    66    21    17    18    16    19\n",
      "[18,]   114    62    55    85    72    72    29    14    21    24    18    30\n",
      "[19,]    91    43    33    71    61    21     9    17    29    32    51    38\n",
      "[20,]    87    72    65    55    33    16    13    28    38    39    48    55\n",
      "[21,]    99    75    64    47    28    12    21    51    50    51    66    79\n",
      "[22,]    82    57    45    34    13     9    48    63    65    70    70    88\n",
      "[23,]    60    45    36    15     9     8    29    71    56    54    60    60\n",
      "[24,]    30    30    16     7     7     6    39    71    47    38    32    33\n",
      "[25,]    21    17     8     8     7     7    41    60    37    29    34    31\n",
      "[26,]    17    10     8     7     8    10    33    47    33    39    78    53\n",
      "[27,]    11     8     8     7     8    10    24    45    32    41    66    93\n",
      "[28,]     9     9     7     8     9     9    19    42    36    29    23    33\n",
      "[29,]     9     8     8     8    10     8    14    49    44    35    30    25\n",
      "[30,]     9     9    10     7     7     7    11    49    48    44    37    41\n",
      "[31,]     9    10     9     9     7     8    10    19    24    23    29    30\n",
      "[32,]    12    11     8     7     8     7     8     8     9    10     9    17\n",
      "[33,]    11     9     9     9     9     9     9    10     7     8     9     9\n",
      "[34,]    10     9     9    12     9    10     9     9    15    10    10    13\n",
      "[35,]    10    10    10    11    31    10     9    15    10    13    18    46\n",
      "[36,]    11    10    11    10    15    10    11    12    11    24    49    60\n",
      "[37,]    11    10    10    11    11    10    10    11    21    35    45    51\n",
      "[38,]    12    11    11    11    11    11    11    14    33    37    36    32\n",
      "[39,]    13    14    12    13    10    12    14    27    45    46    54    48\n",
      "[40,]    12    12    12    12    13    10    17    45    41    41    43    48\n",
      "[41,]    14    15    27    12    15    11    24    44    43    41    45    42\n",
      "[42,]    16    26    20    12    12    12    32    38    38    40    44    40\n",
      "[43,]    15    18    13    14    12    14    31    41    40    36    32    42\n",
      "[44,]    13    11    14    13    13    15    35    41    41    37    38    44\n",
      "[45,]    15    14    12    13    15    15    36    39    39    39    39    40\n",
      "[46,]    15    12    15    15    13    15    33    42    38    40    45    40\n",
      "[47,]    17    15    14    16    14    16    28    38    38    50    45    35\n",
      "[48,]    22    13    16    12    15    21    39    37    35    33    31    36\n",
      "[49,]    23    15    13    13    14    23    41    40    43    43    43    45\n",
      "[50,]    29    19    18    17    18    23    45    34    36    44    39    34\n",
      "[51,]    35    19    21    16    17    25    46    46    27    36    42    40\n",
      "[52,]    31    20    30    27    18    19    25    32    28    27    38    41\n",
      "[53,]    20    17    23    37    34    19    20    18    16    23    28    37\n",
      "[54,]    20    17    14    16    42    37    28    15    17    18    15    15\n",
      "[55,]    35    25    18    17    15    20    28    22    21    20    15    30\n",
      "[56,]    34    26    17    20    19    14    18    16    15    14    15    18\n",
      "[57,]    41    30    29    18    22    19    16    13    13    13    14    26\n",
      "[58,]    49    40    29    18    15    17    16    16    15    12    20    19\n",
      "[59,]    40    39    32    18    18    15    15    16    15    15    12    17\n",
      "[60,]    26    22    22    23    24    20    19    17    11    12    14    15\n",
      "[61,]    24    23    27    35    51    58    59    56    43    21    13    14\n",
      "[62,]    31    30    35    37    49    55    71    74    74    73    53    26\n",
      "[63,]    12    20    28    35    34    45    59    76    94    88    86    83\n",
      "[64,]     0     0     0     0     0     1     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]    98   114   129   147   147   150   143   153   154   156   150   158\n",
      " [2,]    20    40    65    91   111   121   130   134   130   133   138   136\n",
      " [3,]     8     7     8     9    24    46    81   106   129   144   147   153\n",
      " [4,]     6     7     6     7     7     8     8     7     8    11    17    21\n",
      " [5,]     6     6     6     6     6     6     5     6     6     7     8     8\n",
      " [6,]     6     6     6     6     6     6     6     6     6     6     6     6\n",
      " [7,]     6     6     6     5     7     6     6     5     5     6     6     6\n",
      " [8,]     5     5     5     7     7    13     6     6     7     8    10    16\n",
      " [9,]     5     4     4     5     8     7     9     9    17    33    30    27\n",
      "[10,]     5     6     5     8    12    16    14    44    49    38    27    22\n",
      "[11,]    38    37    40    28    19    18    46    71    73    56    27    33\n",
      "[12,]    64    54    49    43    39    36    62    79    74    33    92    85\n",
      "[13,]    67    49    29    22    22    21    34    39    17    47    61    72\n",
      "[14,]    26    19    21    21    19    17    19    16    17    20    33    23\n",
      "[15,]    19    25    25    18    18    23    21    16    22    24    26    23\n",
      "[16,]    19    28    30    28    16    20    23    18    26    37    47    47\n",
      "[17,]    21    18    22    27    29    31    25    31    40    47    53    64\n",
      "[18,]    27    25    30    43    53    50    49    49    53    70    88    92\n",
      "[19,]    36    45    45    52    68    77    68    68    78    90   109   112\n",
      "[20,]    59    74    91    91    99    88    98    86    86    75    89   141\n",
      "[21,]    86    96    84    89    68    76    87    90    97    77    86    39\n",
      "[22,]    97    88    88    89    72   104   101    95    95    63    50    12\n",
      "[23,]    63    59    62    95    98    98    97    90    57    46    16     8\n",
      "[24,]    36    36    38    62    68    65    79    62    36    12     7     6\n",
      "[25,]    29    28    28    51    74    62    38    33    11     9     5     6\n",
      "[26,]    36    28    30    33    34    36    58    15    11     6     7     7\n",
      "[27,]    81    31    40    60    77    93     9    23     7     6     7     7\n",
      "[28,]    24    28    47    90    79     7     8     7     8     6     8     8\n",
      "[29,]    27    33    55    32     7     7     6     7     8     7     7     8\n",
      "[30,]    45    44    14    15     8     7     7     8     8     9     9     9\n",
      "[31,]    71    10    20     9     8     7     8     9     9    10     9     9\n",
      "[32,]    17    21    10     9     9     9     9     9     9     8    10     9\n",
      "[33,]    15    12    10    10    10     9     9    10     9     9    10    10\n",
      "[34,]    22    24    20    16    20    16    13    14    20    13    17    15\n",
      "[35,]    65    38    36    42    30    25    16    20    24    26    15    27\n",
      "[36,]    55    48    48    35    28    29    26    27    24    23    29    36\n",
      "[37,]    42    46    41    34    30    40    25    25    16    20    22    32\n",
      "[38,]    27    43    37    26    31    23    17    14    13    11    13    14\n",
      "[39,]    36    37    39    37    31    17    16    16    16    13    12    15\n",
      "[40,]    41    39    36    32    24    19    23    18    16    21    19    22\n",
      "[41,]    43    41    40    36    33    29    23    33    16    20    28    34\n",
      "[42,]    46    38    38    42    43    38    24    24    25    28    27    29\n",
      "[43,]    35    35    35    36    20    16    15    26    29    31    35    19\n",
      "[44,]    40    41    35    28    14    15    28    29    31    24    22    25\n",
      "[45,]    35    38    36    36    21    25    18    29    23    21    21    19\n",
      "[46,]    42    38    35    36    25    16    17    25    25    21    16    20\n",
      "[47,]    38    31    23    25    23    21    21    27    26    20    24    31\n",
      "[48,]    35    27    27    28    25    33    33    31    35    26    29    34\n",
      "[49,]    29    28    32    23    25    38    34    40    37    29    31    35\n",
      "[50,]    32    30    24    30    40    31    33    34    28    35    33    31\n",
      "[51,]    34    33    29    38    36    40    36    34    37    32    35    34\n",
      "[52,]    41    43    34    32    37    45    43    40    41    36    26    28\n",
      "[53,]    32    39    36    34    36    27    21    18    22    30    18    21\n",
      "[54,]    26    12    17    21    22    24    27    33    29    14    63    37\n",
      "[55,]    29    34    33    35    34    34    31    35    33    32    18    40\n",
      "[56,]    18    25    29    32    35    31    36    34    36    33    32    23\n",
      "[57,]    13    16    20    29    32    32    30    33    35    37    34    34\n",
      "[58,]    41    21    14    15    28    32    33    35    33    35    37    37\n",
      "[59,]    38    64    38    21    12    23    31    35    34    35    34    35\n",
      "[60,]    11    27    71    69    46    23    16    24    32    34    34    36\n",
      "[61,]    11    11    10    20    75    85    57    15    17    17    21    20\n",
      "[62,]    16    11    10    10     9     7    51    61    34    25     9     8\n",
      "[63,]    76    40    19    11     9    16    27     9     9    36    51    49\n",
      "[64,]     0    46    52    59    45    10     7     8    12    20    24    20\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   143   143   152   160   156   137   154   151   153   154   159   178\n",
      " [2,]   134   137   144   138   142   142   147   151   156   165   176   168\n",
      " [3,]   150   154   158   153   158   160   156   149   109    50    24    16\n",
      " [4,]    34    40    49    36    15    14    10    12    12    10     6     6\n",
      " [5,]     8     9    11     8     8     6     6     6     6     5     5     6\n",
      " [6,]     6     5     6     6     6     6     6     6     5     4     7     5\n",
      " [7,]     7     8     8     9     8     9     9    10     9     9     9     6\n",
      " [8,]    24    26    33    33    31    29    22    24    24    35    24    11\n",
      " [9,]    23    23    20    23    24    27    26    34    53    71    80    73\n",
      "[10,]    23    30    37    41    41    28    35    70    85   106   101   110\n",
      "[11,]    46    41    39    32    18    31    47    69    92    97   117   127\n",
      "[12,]    59    40    26    14    13    21    32    37    38    45    51    62\n",
      "[13,]    64    33    17    13    11    10    10    11    10    10    11     9\n",
      "[14,]    22    30    13    14    13     9    13    14    13    17    16    13\n",
      "[15,]    23    19    14    10    15    13    12    14    12    14    10    15\n",
      "[16,]    31    27    28    23    12    25    36    48    56    54    22    14\n",
      "[17,]    58    36    38    30    23    44    52    71    73    64    67    72\n",
      "[18,]    92    61    34    12    11    13    15    22    39    41    41    46\n",
      "[19,]   103    36    25    10     8     7     5     5     7     6     6     6\n",
      "[20,]    38    10     5     5     4     4     4     4     5     4     4     4\n",
      "[21,]    13     7     5     4     5     5     4     4     4     4     4     4\n",
      "[22,]     7     5     5     5     5     5     5     5     5     5     5     5\n",
      "[23,]     5     5     5     6     6     6     6     8     8     8     7     7\n",
      "[24,]     6     6     6     6     6     9     7     8    10     9    10    10\n",
      "[25,]     6     7     7     7     9    10     9    10     9    11     9     9\n",
      "[26,]     7     8     9    10    10    10    11    11    12    10    10    10\n",
      "[27,]     8     9    10     9    11    11    12    11    11    10    10     9\n",
      "[28,]     8    10     9    11    10    10    10    10    11    10    10     9\n",
      "[29,]     9     9     9     9    10     9     9     9     8    11     9     9\n",
      "[30,]    10    10     9     9    10     9     9    10     9     9     9    10\n",
      "[31,]     9    10    10     9     9    10     9     9    10     9    10     9\n",
      "[32,]    10     9     9     8     9     9    10    11    10    10     9     8\n",
      "[33,]     9    10     9     9     9    10    10    10     9    11     9     9\n",
      "[34,]    24    25    25    20    16    15    19    17    18    18    24    19\n",
      "[35,]    25    15    23    54    34    21    18    25    20    23    23    23\n",
      "[36,]    27    21    29    41    42    43    34    32    34    40    15    12\n",
      "[37,]    27    25    24    24    29    37    37    35    36    12    19    26\n",
      "[38,]    21    29    29    25    29    31    39    33    33    15    24    35\n",
      "[39,]    19    17    18    13    20    32    35    32    37    28    22    24\n",
      "[40,]    22    17    15    17    23    34    33    33    17    39    39    36\n",
      "[41,]    31    22    21    27    33    34    30    47    39    32    33    31\n",
      "[42,]    29    30    23    25    35    36    39    12    25    37    49    34\n",
      "[43,]    19    23    29    36    36    36    16    26    41    45    33    23\n",
      "[44,]    21    24    26    35    39    18    25    43    50    44    27    19\n",
      "[45,]    20    22    22    39    26    21    36    51    50    41    34    31\n",
      "[46,]    24    24    26    36    19    19    41    56    55    48    48    40\n",
      "[47,]    30    31    37    22    25    16    44    48    52    51    49    43\n",
      "[48,]    41    42    27    14    28    19    21    34    48    47    54    41\n",
      "[49,]    39    36    19    20    26    21    12    19    20    22    13     9\n",
      "[50,]    33    22    19    40    33    20    13    12    33    47    44    42\n",
      "[51,]    29    18    46    54    38    13    27    38    35    30    29    34\n",
      "[52,]    49    57    35    52    41    20    38    39    31    30    30    33\n",
      "[53,]    26    19    45    55    38    27    43    34    28    29    31    35\n",
      "[54,]    22    26    53    55    37    36    43    39    32    28    35    47\n",
      "[55,]    23    35    56    55    31    38    38    37    34    37    41    37\n",
      "[56,]    24    43    57    55    25    39    36    36    38    37    39    40\n",
      "[57,]    32    34    15    58    27    43    37    40    36    41    38    37\n",
      "[58,]    33    35    34    17    28    38    41    41    37    39    36    34\n",
      "[59,]    35    35    33    33    34    34    40    41    39    38    38    37\n",
      "[60,]    35    34    31    26    63    18    37    40    41    42    41    41\n",
      "[61,]    15    23    28    49    55    44    34    22    43    40    29    41\n",
      "[62,]     8    20    29    46    64    76    64    36    34    55    55    40\n",
      "[63,]    43    21    12    13    15    13     9    10    11    10    15    31\n",
      "[64,]    18    14    16    23    21    27    31    25    15    12    22    25\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   181   205   168   116    26    19    16     6     6     6     8     8\n",
      " [2,]    96    33    12    14     7     7     6     6     6     6     7     8\n",
      " [3,]    13     8     6     5     5     6     6     6     5     5     7     9\n",
      " [4,]     6     6     5     5     5     6     5     6     6     6     7     8\n",
      " [5,]     5     5     6     5     5     5     5     6     5     5     6     7\n",
      " [6,]     5     5     5     4     5     5     4     5     4     5     6     6\n",
      " [7,]     5     4     4     4     4     4     4     5     4     5     5     4\n",
      " [8,]     8     7     6     6     5     4     4     4     4     4     4     4\n",
      " [9,]    55    41    29    17    12     9     6     5     5     8     7     7\n",
      "[10,]   102    89    78    80    81    76    64    69    55    42    26    16\n",
      "[11,]   145   145   146   140   129   130   119    86    49    26    43    63\n",
      "[12,]    80    95   102   108   116   118   101    77    27    34    60    85\n",
      "[13,]    12    16    19    25    35    41    38    29    17    38    67    87\n",
      "[14,]    11     9    10     9     9    10    10    15    36    51    64    79\n",
      "[15,]    16    15    15    18    17    14    17    13    19    23    28    42\n",
      "[16,]    14    13    10     9     9    10    12     8    12    16    25    36\n",
      "[17,]    53    34    26    20    13     8     8     8    11    20    30    41\n",
      "[18,]    49    50    37    30    28    32    41    38    12    38    65    79\n",
      "[19,]     7     9    19    30    33    30    30    27    18    51    73    77\n",
      "[20,]     6     5     5     6     7    15    24    26    28    42    53    69\n",
      "[21,]     4     5     5     5     5     6     8    16    48    63    70    63\n",
      "[22,]     6     5     5     5     5     5     6     9    23    44    52    62\n",
      "[23,]     7     7     6     5     5     5     5     5    11    21    26    50\n",
      "[24,]     9     8     8     6     6     5     5     5    10    15    15    42\n",
      "[25,]     9     9     9     7     7     6     6     6     7    10    19    30\n",
      "[26,]     9    10     8     7     8     7     8     7     6    10    15    13\n",
      "[27,]    10    10     9     8     8     8     7     8     8    17    10     9\n",
      "[28,]    10    10     9     8     8     7     7     8     8    21     9    13\n",
      "[29,]     9     9     7     9     8     8     9     9    15    25    15    14\n",
      "[30,]    10    10     9     9     8     9     8     9    24    48    36    13\n",
      "[31,]    10     8     8     9     9     9     8    12    31    73    35    15\n",
      "[32,]    10     8     9     9     9    10    10    30    71    87    20    11\n",
      "[33,]    10     9     8     8     9    10    34    40    65    41    23    15\n",
      "[34,]    20    16    17    11    17    45    27    22    29    23    11    26\n",
      "[35,]    25    31    18    16    72    18    13    18    25    35    32    10\n",
      "[36,]    11    16    13    51    28    21    20    25    23    24    38    26\n",
      "[37,]    32    21    30    25    28    26    19    22    43    26    46    41\n",
      "[38,]    42    25    22    27    28    13    15    21    41    16    21     9\n",
      "[39,]    20    11    21    13    14    21    41    30    14    19    13    20\n",
      "[40,]    24    13    29    19    12    10    14    11    13    12    12    15\n",
      "[41,]    15    26    19    21    21    13    13    23    19    10    22    43\n",
      "[42,]    22    28    27    11    12    15    20    28    24    20    18    38\n",
      "[43,]    22    23    12    25    27    26    30    26    23    13    11    17\n",
      "[44,]    18    23    30    30    30    25    24    27    26    24    20    22\n",
      "[45,]    25    31    32    30    24    29    28    20    11    15    21    19\n",
      "[46,]    29    28    33    29    31    33    29    10    20    33    40    22\n",
      "[47,]    34    28    28    32    28    29    24    22    27    21    13    12\n",
      "[48,]    32    23    28    18    23    20    11    25    18    17    11    11\n",
      "[49,]    12    18    29    17    17    49    41    33    35    14    12    11\n",
      "[50,]    32    38    28    19    64    66    28    14    23    12    13    19\n",
      "[51,]    34    46    50    39    44    56    29    27    26    18    16    17\n",
      "[52,]    29    60    50    53    47    41    34    33    24    18    16    17\n",
      "[53,]    51    66    60    43    38    39    45    35    23    20    19    20\n",
      "[54,]    72    63    53    42    36    35    49    36    21    19    18    31\n",
      "[55,]    47    46    40    35    35    35    53    36    21    19    23    24\n",
      "[56,]    33    30    36    37    36    41    51    44    19    16    18    11\n",
      "[57,]    35    37    36    38    39    48    44    22    11    14    14     8\n",
      "[58,]    35    38    38    39    49    58    37    15    14    13     7     9\n",
      "[59,]    39    39    38    45    54    36    27    13     8     6     6    11\n",
      "[60,]    39    37    50    48    69    40    13     7     6     6     9    11\n",
      "[61,]    48    44    33    24    19    19    16     9     6     8    10    13\n",
      "[62,]    29    20    22    23    21    17    11     7     5     6    12    14\n",
      "[63,]    21    21    21    21    19    17    11     7     5     8    12    11\n",
      "[64,]    30    25    23    21    19    14     8     5     3     6    12    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]     9    11    13\n",
      " [2,]    10    12    12\n",
      " [3,]    10    11    12\n",
      " [4,]     8    10    11\n",
      " [5,]     8     9    10\n",
      " [6,]     6     8    11\n",
      " [7,]     5     8    10\n",
      " [8,]     4     4     5\n",
      " [9,]     7     5     5\n",
      "[10,]    11     7    20\n",
      "[11,]    91   123   161\n",
      "[12,]   119   172   198\n",
      "[13,]   124   159   167\n",
      "[14,]    93   115   149\n",
      "[15,]    57    74   100\n",
      "[16,]    48    52    64\n",
      "[17,]    52    53    52\n",
      "[18,]    82    80    71\n",
      "[19,]    82    84    84\n",
      "[20,]    69    62    69\n",
      "[21,]    57    49    57\n",
      "[22,]    74    69    52\n",
      "[23,]    74    78    54\n",
      "[24,]    50    44    40\n",
      "[25,]    25    20    18\n",
      "[26,]    16    12     7\n",
      "[27,]    13     8     5\n",
      "[28,]    12    13     7\n",
      "[29,]     9    15    16\n",
      "[30,]    10    16    19\n",
      "[31,]     8    12    12\n",
      "[32,]     9    26    22\n",
      "[33,]    22    33    24\n",
      "[34,]    29    27    34\n",
      "[35,]    20    41    60\n",
      "[36,]    29    52    67\n",
      "[37,]    35    30    23\n",
      "[38,]    14    25    26\n",
      "[39,]    21    22    18\n",
      "[40,]    37    50    32\n",
      "[41,]    72    79    66\n",
      "[42,]    71    81    62\n",
      "[43,]    11     7     9\n",
      "[44,]    11    11    13\n",
      "[45,]    10     9    12\n",
      "[46,]    11     9    14\n",
      "[47,]    11    13    15\n",
      "[48,]    12    11    18\n",
      "[49,]     9    14    15\n",
      "[50,]    23    16    18\n",
      "[51,]    26    48    57\n",
      "[52,]    21    33    60\n",
      "[53,]    32    37    38\n",
      "[54,]    34    24    35\n",
      "[55,]    12    13    33\n",
      "[56,]    12    24    11\n",
      "[57,]     8    12    11\n",
      "[58,]    11     9    11\n",
      "[59,]    12    12    15\n",
      "[60,]    13    15    16\n",
      "[61,]    15    16    17\n",
      "[62,]    16    17    18\n",
      "[63,]    10    22    23\n",
      "[64,]    10     9    23\n",
      "\n",
      ", , 9, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   10   11   11   12   12   11   12   11   10    11    12    12    12\n",
      " [2,]   11   12   11   12   12   13   13   12   12    12    13    13    12\n",
      " [3,]   10   11   12   12   11   12   11   12   11    12    12    11    13\n",
      " [4,]   11   12   11   12   11   12   11   12   12    11    13    11    11\n",
      " [5,]   11   12   12   11   12   11   11   11   10    11    13    11    11\n",
      " [6,]   12   11   11   11   11   12   11   12   12    12    12    11    11\n",
      " [7,]   12   11   11   11   11   12   11   11   11    12    12    11    11\n",
      " [8,]   13   11   12   12   12   11   11   12   11    10    10    11    12\n",
      " [9,]   11   12   11   13   13   11   11   10   10    11    11    10    10\n",
      "[10,]   11   11   12   11   12   12   11   11   12    10    11    11    10\n",
      "[11,]   13   12   12   13   12   11   10   11   10     9     8     7     7\n",
      "[12,]   12   11   11   12   12   11   11    9    8     6     6     5     5\n",
      "[13,]   12   11   11   10    9    9    8    7    6     6     5     4     4\n",
      "[14,]   12   11   11   10    8    6    5    4    5     5     4     7     6\n",
      "[15,]   10   10    9    8    6    5    4    5    5     7     9    31    59\n",
      "[16,]   10    9    7    6    5    5    5    5   11    44    73    99   122\n",
      "[17,]    8    7    6    4    5    5   12   39   72   104   115   135   128\n",
      "[18,]    6    6    5    6    6   38   74  104  134   143   157   125   103\n",
      "[19,]    5    5    6   14   65  104  136  142  162   156   136    79   107\n",
      "[20,]    6    7   24   84  125  147  166  158  148   130    52    81    78\n",
      "[21,]    7   27   97  140  157  161  139  113   74    49    64    58    86\n",
      "[22,]   19   95  158  160  153  141  115   53   21    39    52    72    58\n",
      "[23,]   86  154  157  156  135  120   36   12   23    59    56    63    89\n",
      "[24,]  140  156  148   98   81   77   28   37   40    52    52    25    68\n",
      "[25,]  157  150  112   62   39   22   36   27   89   100    43    39    21\n",
      "[26,]  150  148   77   57   23   37   77   91   84    58    58    14    22\n",
      "[27,]  152  131  103   62   45   39   56   95  102    58    34    22    16\n",
      "[28,]  145  124  126   50   28   45   55   81   88    57    24    23    14\n",
      "[29,]  146  128  101  103   47   69   81   84   60    30    13    11    10\n",
      "[30,]  144  131  124  103   72   80   83   61   49    32    19    14    10\n",
      "[31,]  139  124  111   90   95   89   73   63   54    34    23    10    13\n",
      "[32,]  136  123  103  110   97  103   84   62   53    37    19    10    10\n",
      "[33,]  136  112   94  118  103   82   70   54   45    36    16    12    11\n",
      "[34,]  132  120  101  105   95   71   67   62   49    38    18    11    11\n",
      "[35,]  130  122   85   86   85   76   74   69   58    41    28    15    12\n",
      "[36,]  128  121   83   81   83   86   89   81   67    55    36    14    13\n",
      "[37,]  123  121   85   86   92   89   91   76   65    49    25    11    15\n",
      "[38,]  109  126  100   77   68   71   84   87   66    48    19    18    12\n",
      "[39,]   86  120  106   70   90   69   86   85   62    42    24    14    15\n",
      "[40,]   71  123  120   89   45   45   82   71   67    50    35    23    21\n",
      "[41,]   63  108  127  111   67   20   19   26   51    39    33    32    17\n",
      "[42,]   47   90  104   79   26   23   13   15   17    23    33    37    17\n",
      "[43,]   38   68  113   91   22   13   13   13   14    28    44    43    24\n",
      "[44,]   25   48  106  107   83   15   14   19   25    40    41    33    27\n",
      "[45,]   13   23   79  105   92   33   18   25   39    56    60    41    28\n",
      "[46,]   17   19   36  104   92   63   31   32   58    65    75    52    35\n",
      "[47,]   53   15   24   84   83   70   53   61   66    37    79    66    38\n",
      "[48,]   81   21   30   55   77   65   63   61   58    45    43    59    44\n",
      "[49,]   91   52   27   41   65   59   63   55   67    64    51    36    23\n",
      "[50,]  106   72   20   41   45   58   54   57   53    61    61    56    52\n",
      "[51,]  113   80   16   29   33   47   46   48   48    50    48    42    44\n",
      "[52,]  129   87   25   21   22   32   35   37   38    37    36    37    38\n",
      "[53,]  144   89   44   36   28   20   27   26   24    25    21    20    17\n",
      "[54,]  156  101   71   65   55   36   31   29   19    18    21    27    29\n",
      "[55,]  155  102   77   68   69   49   43   45   26    31    37    36    36\n",
      "[56,]  155   99   82   69   71   66   58   52   52    43    47    49    47\n",
      "[57,]  155  103   72   62   68   66   66   60   66    52    47    48    50\n",
      "[58,]  137  100   59   42   57   58   65   68   69    63    58    52    50\n",
      "[59,]  118   87   54   21   38   54   59   58   63    53    50    49    43\n",
      "[60,]   96   79   43   14   12   26   50   54   46    36    34    31    25\n",
      "[61,]   81   71   35   10    9   10   14   28   32    21    17    20    21\n",
      "[62,]   74   52   23   10   10    9    9    9   10    11    13    13    23\n",
      "[63,]   62   48   23    9   11    9    9    8    9     8     9    10    10\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    10    11    13    10    10     9    10     9     9    19    47    80\n",
      " [2,]    11    11    12    11    10    10     9     8     8     8     8     8\n",
      " [3,]    11    11    12    10    10     9     8     8     7     7     6     6\n",
      " [4,]    12    10    11    10    10     9     8     8     7     7     7     8\n",
      " [5,]    12    11    12    11    11     9     8     8     8     7     7     6\n",
      " [6,]    11    13    13    11    11    10     9     7     6     6     6     6\n",
      " [7,]    11    11    11    12    10     9     9     7     7     6     6     6\n",
      " [8,]    11    10    11    11    10     9     8     7     6     5     5     6\n",
      " [9,]    10    10     9     7     7     6     5     5     5     4     5     5\n",
      "[10,]     9     7     6     5     4     4     4     4     4     4     4     5\n",
      "[11,]     7     6     5     4     4     4     5     6     6     7    16    25\n",
      "[12,]     4     4     5     5     6     5    20    44    50    67    67    67\n",
      "[13,]     5     7     7    28    54    77    87    99    92   100   100    80\n",
      "[14,]    25    37    74    99   125   130   127   111    89    84    63    46\n",
      "[15,]    90   112   120   144   133   121   106    92    68    42    28    20\n",
      "[16,]   125   146   139   123   118   105    89    58    30    17    17    17\n",
      "[17,]   121   102   115   110    98    87    68    23    16    17    15    18\n",
      "[18,]   116    64    57    86    75    74    30    14    22    25    20    31\n",
      "[19,]    93    45    35    72    63    22     9    16    27    32    54    44\n",
      "[20,]    91    74    66    57    35    15    13    26    40    37    51    62\n",
      "[21,]   101    79    66    48    29    14    20    51    54    50    65    84\n",
      "[22,]    83    59    46    36    14     8    43    67    69    66    69    83\n",
      "[23,]    61    44    37    17     9     7    13    77    59    57    53    54\n",
      "[24,]    30    28    16     8     7     6    22    75    54    41    34    35\n",
      "[25,]    22    17     8     7     7     7    28    61    42    32    30    33\n",
      "[26,]    17     9     8     8     7    10    26    48    35    32    68    68\n",
      "[27,]    12     9     9     7     8    10    17    47    37    33    35    55\n",
      "[28,]     9     9     7     8     9     9    12    36    43    36    28    29\n",
      "[29,]     9     7     7    10    12     8     9    46    47    44    37    32\n",
      "[30,]     9     9    10     9     8     8    10    43    45    40    34    41\n",
      "[31,]    10    11     9     9     8     7     8    10    16    15    20    17\n",
      "[32,]    11    12     8     9     8     8     8     8     8     9     9    10\n",
      "[33,]    11     9    11     8     8     8     9    10     8     9     8    11\n",
      "[34,]    10    10     9    11    11    15    10    10    16     9    10    13\n",
      "[35,]    11    11     9    11    34     9    10    13    10    13    18    47\n",
      "[36,]    13    10     9    10    12    10    11    11    13    23    50    65\n",
      "[37,]    11    11    11    10    12    11    11    13    23    38    50    53\n",
      "[38,]    12    12    12    12    10    11    13    17    36    41    40    30\n",
      "[39,]    11    11    12    16    12    10    14    25    44    50    59    53\n",
      "[40,]    11    12    12    12    13    13    17    45    38    43    43    46\n",
      "[41,]    14    14    25    11    12    14    23    43    42    40    41    42\n",
      "[42,]    14    25    19    11    15    12    32    41    41    41    44    42\n",
      "[43,]    16    16    14    13    12    14    33    43    42    40    37    42\n",
      "[44,]    17    14    12    13    13    15    34    45    39    39    40    45\n",
      "[45,]    17    14    12    14    15    17    34    39    35    39    42    35\n",
      "[46,]    16    12    13    15    14    15    34    42    38    45    46    44\n",
      "[47,]    15    12    14    15    14    19    26    36    37    45    44    37\n",
      "[48,]    20    15    14    15    16    20    40    35    39    35    32    36\n",
      "[49,]    24    14    13    16    16    23    39    40    41    45    44    47\n",
      "[50,]    28    18    21    19    17    21    36    31    39    43    42    36\n",
      "[51,]    36    18    23    17    18    21    47    49    26    38    42    39\n",
      "[52,]    32    19    32    27    19    21    24    27    24    31    37    42\n",
      "[53,]    20    17    23    41    36    19    23    20    18    21    27    41\n",
      "[54,]    18    22    15    15    41    37    26    18    19    17    18    15\n",
      "[55,]    30    22    17    18    19    20    29    22    19    19    15    33\n",
      "[56,]    35    29    22    19    19    14    15    17    15    16    15    19\n",
      "[57,]    41    32    25    19    20    19    17    11    13    16    16    24\n",
      "[58,]    46    38    30    19    16    16    20    15    15    13    23    20\n",
      "[59,]    36    36    33    18    16    15    13    14    14    15    14    16\n",
      "[60,]    26    21    24    25    24    21    19    16    13    13    14    12\n",
      "[61,]    23    22    25    36    53    54    60    57    43    22    12    13\n",
      "[62,]    33    31    36    39    48    56    70    73    77    78    53    24\n",
      "[63,]    11    20    27    32    34    44    59    76    96    88    89    84\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]   101   118   133   150   153   152   145   154   154   155   150   158\n",
      " [2,]    21    39    68    94   111   123   130   135   135   136   140   139\n",
      " [3,]     8     8     8     8    23    48    82   107   131   149   150   155\n",
      " [4,]     6     6     6     8     8     8     8     7     8    10    16    21\n",
      " [5,]     6     6     6     6     5     6     6     6     7     6     7     8\n",
      " [6,]     6     6     6     6     6     6     6     6     7     5     5     6\n",
      " [7,]     5     6     5     5     6     6     6     6     5     5     6     7\n",
      " [8,]     6     6     5     9     8    14     7     5     7     8     9    15\n",
      " [9,]     4     5     4     4     8     9     9     8    19    32    32    27\n",
      "[10,]     6     6     6     8    12    17    13    44    49    39    27    21\n",
      "[11,]    38    39    41    29    19    19    48    72    75    58    28    30\n",
      "[12,]    66    56    50    44    42    38    64    81    76    34    90    85\n",
      "[13,]    69    53    30    22    22    21    35    43    16    47    59    68\n",
      "[14,]    27    19    20    20    17    16    19    14    16    19    32    24\n",
      "[15,]    20    24    26    17    17    23    21    17    23    24    26    23\n",
      "[16,]    18    28    31    28    16    20    22    18    27    36    47    48\n",
      "[17,]    21    19    22    27    30    31    24    29    37    47    53    62\n",
      "[18,]    29    26    32    44    54    50    50    50    57    73    94    91\n",
      "[19,]    37    47    47    52    73    81    72    71    79    96   116   122\n",
      "[20,]    63    76    94   102   101    95   101    89    88    83   105   134\n",
      "[21,]    94   103    87    99    62    79    90    91   100    69    97    32\n",
      "[22,]   105    89   104    93    79   105   102    98    94    69    41    12\n",
      "[23,]    59    63    45    82   100   100    94    83    56    47    17     7\n",
      "[24,]    37    41    37    62    68    40    61    49    40    14     6     6\n",
      "[25,]    28    30    35    48    68    50    43    41    13     6     6     6\n",
      "[26,]    41    31    39    42    41    55    82    11     9     6     7     7\n",
      "[27,]    74    35    50    82    94    78    11    16     6     7     8     7\n",
      "[28,]    28    35    56    93    59     8     8     7     7     7     8     9\n",
      "[29,]    37    44    54    16     9     7     7     8     8     8     8     8\n",
      "[30,]    52    57    12    11     8     8     7     8     9     9     9     9\n",
      "[31,]    79     5    18     9     7     9     9     9     9    10     9    10\n",
      "[32,]    14    21     9     8     9     9     9     8     9     9     9     9\n",
      "[33,]    16    11     9     9    10     9     9    10    11    10    10    10\n",
      "[34,]    25    22    21    16    18    17    12    19    20    17    19    15\n",
      "[35,]    70    37    40    38    31    24    15    20    24    27    14    31\n",
      "[36,]    56    53    50    31    29    34    28    25    26    23    32    37\n",
      "[37,]    46    46    41    32    29    41    23    29    16    19    25    32\n",
      "[38,]    29    45    35    27    37    19    18    16    13    14    14    14\n",
      "[39,]    36    35    38    35    28    21    19    15    18    15    14    15\n",
      "[40,]    37    40    38    33    26    23    24    22    15    19    18    23\n",
      "[41,]    39    41    41    39    36    35    25    29    16    18    29    30\n",
      "[42,]    43    38    39    39    44    37    27    24    22    28    30    29\n",
      "[43,]    39    36    37    34    21    17    15    33    32    33    33    22\n",
      "[44,]    39    36    30    29    17    15    30    32    31    26    23    20\n",
      "[45,]    35    36    36    38    23    25    20    29    23    18    21    19\n",
      "[46,]    42    40    37    32    26    15    16    26    28    20    15    19\n",
      "[47,]    39    34    24    24    24    23    21    29    27    21    30    29\n",
      "[48,]    37    29    27    29    27    31    37    33    41    26    30    32\n",
      "[49,]    28    28    32    25    29    41    36    36    37    30    31    38\n",
      "[50,]    33    30    24    27    41    29    31    34    28    37    35    38\n",
      "[51,]    35    33    31    35    34    37    38    37    42    35    36    36\n",
      "[52,]    44    41    35    31    38    45    44    42    39    37    28    27\n",
      "[53,]    35    39    41    31    36    27    19    19    22    30    16    19\n",
      "[54,]    29    10    18    21    22    24    29    34    31    12    59    35\n",
      "[55,]    27    32    34    36    34    37    33    38    36    40    18    39\n",
      "[56,]    19    27    32    31    35    37    34    37    37    35    38    23\n",
      "[57,]    12    17    21    31    33    34    33    34    37    36    35    36\n",
      "[58,]    42    21    19    14    24    30    33    36    36    37    37    35\n",
      "[59,]    36    65    38    22    11    25    32    35    36    35    36    33\n",
      "[60,]    10    24    71    70    48    25    17    25    33    36    38    37\n",
      "[61,]    11    10    10    22    76    87    58    19    14    19    22    21\n",
      "[62,]    16    10     9    11    10     7    50    60    36    25    10     9\n",
      "[63,]    77    40    20     9     9    17    25    10    10    36    50    49\n",
      "[64,]     0    45    52    62    46    10     8     9    13    20    24    19\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   146   147   156   160   156   137   156   156   156   153   160   181\n",
      " [2,]   132   141   147   143   141   145   149   153   158   164   175   171\n",
      " [3,]   151   155   161   157   162   165   162   149   110    52    24    16\n",
      " [4,]    35    40    51    36    16    11    11    12    13     9     7     6\n",
      " [5,]     9     9     9     8     7     6     6     6     6     6     5     5\n",
      " [6,]     6     5     6     5     6     6     6     6     6     5     6     5\n",
      " [7,]     6     8     8     9     9     9     8     9    10     9    10     6\n",
      " [8,]    23    26    32    34    31    29    23    24    25    36    24    12\n",
      " [9,]    25    24    22    24    25    27    29    36    51    72    81    74\n",
      "[10,]    23    29    37    40    39    27    35    73    85   108   103   113\n",
      "[11,]    42    40    38    30    17    32    49    70    94    99   119   130\n",
      "[12,]    57    38    24    13    14    21    33    38    40    45    52    63\n",
      "[13,]    61    30    17    13    12    11     9    12    10    10    11     9\n",
      "[14,]    21    29    14    15    14    10    13    15    15    17    18    12\n",
      "[15,]    24    20    12     9    15    12    13    14    12    14    11    15\n",
      "[16,]    32    26    27    23    12    27    38    48    56    55    22    13\n",
      "[17,]    56    36    38    30    23    45    52    71    72    64    66    73\n",
      "[18,]    89    56    28    12    11    11    15    24    39    42    43    48\n",
      "[19,]    92    34    21    10     8     6     5     5     6     7     6     6\n",
      "[20,]    31     8     5     5     4     4     5     5     4     4     5     4\n",
      "[21,]    11     5     5     5     4     4     4     5     4     4     4     4\n",
      "[22,]     7     5     5     5     5     5     5     5     5     5     5     6\n",
      "[23,]     6     6     5     6     6     6     7     7     7     8     8     8\n",
      "[24,]     7     6     6     6     8     8     9     9     9    10    10    10\n",
      "[25,]     6     6     7     9    10     9    10    10     9    10     9     9\n",
      "[26,]     7     7     9    10    10    10    11    11    10    10    11    11\n",
      "[27,]     7    10    10    10    10    10    10    10    10    10    11     9\n",
      "[28,]    10    10     9    10    10     9    10    10    10     9    11     9\n",
      "[29,]     9     9     9    10    10     8    10    11    10    10     9     9\n",
      "[30,]    10    10     8    10    10    10    10     9     9    10     9     8\n",
      "[31,]    10    10    10     9    10     9    10     9    10    10     9    10\n",
      "[32,]     9    10    10    11     9    10     9     9    10     8    10     9\n",
      "[33,]    10    10    10    11    10     9     9    10     9    11    11    10\n",
      "[34,]    23    22    26    21    17    17    19    15    16    18    22    21\n",
      "[35,]    22    17    27    56    31    22    15    22    17    22    26    22\n",
      "[36,]    25    18    32    39    42    41    33    35    34    37    14    12\n",
      "[37,]    26    24    23    22    29    35    35    33    35    15    20    30\n",
      "[38,]    22    29    31    27    28    30    36    33    33    13    24    35\n",
      "[39,]    21    18    19    16    19    35    35    37    36    30    21    27\n",
      "[40,]    22    18    18    18    25    30    34    34    15    38    40    35\n",
      "[41,]    33    24    18    27    35    32    29    46    45    27    29    31\n",
      "[42,]    30    27    22    29    34    35    38    14    29    37    53    34\n",
      "[43,]    21    27    34    35    37    42    14    37    40    45    37    24\n",
      "[44,]    24    25    25    34    40    12    24    43    47    41    26    19\n",
      "[45,]    21    21    20    37    24    20    39    50    49    38    33    30\n",
      "[46,]    24    27    25    33    22    20    41    53    53    47    51    36\n",
      "[47,]    31    29    36    23    25    13    45    48    54    50    48    42\n",
      "[48,]    39    43    31    15    27    20    23    35    51    47    53    41\n",
      "[49,]    42    34    17    20    26    19    14    18    22    21    13    11\n",
      "[50,]    34    22    19    39    30    21    14    11    32    45    42    41\n",
      "[51,]    29    21    46    49    37    15    28    40    35    29    34    36\n",
      "[52,]    55    53    30    57    41    19    36    41    32    28    31    35\n",
      "[53,]    27    21    46    54    37    28    45    36    32    32    30    37\n",
      "[54,]    25    26    53    55    39    40    45    43    34    30    34    49\n",
      "[55,]    24    36    54    58    31    42    42    40    37    40    43    37\n",
      "[56,]    25    43    56    55    24    40    36    38    38    35    41    42\n",
      "[57,]    33    35    16    58    27    39    36    41    37    39    38    36\n",
      "[58,]    35    36    34    17    29    39    42    43    38    39    39    37\n",
      "[59,]    32    35    38    32    33    37    43    42    40    40    38    39\n",
      "[60,]    35    35    34    26    64    21    36    40    41    42    40    41\n",
      "[61,]    14    26    29    50    60    45    33    25    45    38    32    42\n",
      "[62,]     9    22    30    47    65    78    64    36    35    55    57    42\n",
      "[63,]    45    22    11    11    14    14     8    10    12    11    15    30\n",
      "[64,]    17    14    17    21    21    27    31    28    14    13    22    25\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   183   208   167   118    28    19    16     8     6     8     7     9\n",
      " [2,]    96    32    14    12     8     6     7     6     6     6     8     8\n",
      " [3,]    14     9     6     6     6     7     7     5     6     5     7     9\n",
      " [4,]     5     6     6     6     5     6     5     5     6     6     7     8\n",
      " [5,]     5     5     5     6     5     5     5     5     6     7     6     7\n",
      " [6,]     5     5     5     5     4     6     5     6     5     6     6     6\n",
      " [7,]     5     4     4     4     4     4     4     4     4     5     5     5\n",
      " [8,]     8     7     5     5     4     4     4     4     4     4     4     4\n",
      " [9,]    57    42    30    19    12     8     6     6     6     7     8     8\n",
      "[10,]   104    89    79    80    82    77    65    70    57    42    26    17\n",
      "[11,]   148   147   148   143   132   132   121    86    48    27    40    64\n",
      "[12,]    81    96   103   110   117   120   102    79    28    33    60    85\n",
      "[13,]    12    18    20    25    36    41    37    29    18    39    69    88\n",
      "[14,]    10     9    10    10    10    11    11    17    35    51    64    78\n",
      "[15,]    16    15    14    17    18    15    17    15    20    24    29    41\n",
      "[16,]    14    13     9     9    10    10    11    10    12    17    25    37\n",
      "[17,]    53    34    27    19    11     9     8     8    11    20    32    43\n",
      "[18,]    50    49    37    30    29    32    43    40    12    39    67    81\n",
      "[19,]     6     9    19    33    35    30    33    27    18    53    74    78\n",
      "[20,]     5     5     5     5     8    16    24    27    29    43    55    71\n",
      "[21,]     4     4     4     4     5     7     9    16    50    63    71    63\n",
      "[22,]     5     5     5     5     5     5     6    10    23    44    53    64\n",
      "[23,]     8     7     6     6     5     5     5     5    12    21    28    50\n",
      "[24,]     9     9     7     7     5     5     5     6     9    17    16    45\n",
      "[25,]     9     8     9     7     7     7     6     6     9     9    19    31\n",
      "[26,]    10    10     9     9     7     8     6     7     7    12    14    13\n",
      "[27,]    10    10     9     9     9     7     8     8     9    18    12    10\n",
      "[28,]     8     9    10     9     8     9     8     8     9    18     9    12\n",
      "[29,]     9     9     9     9     8     8     8     8    16    32    14    16\n",
      "[30,]     9    11     9     9     8     8     8     9    23    49    38    12\n",
      "[31,]    11     9     9    10     9     8     8    13    34    77    33    17\n",
      "[32,]     9     9     9     9     7     9    10    30    71    84    20    11\n",
      "[33,]    10     9     9    10    10    10    35    43    65    41    25    15\n",
      "[34,]    21    16    17    10    19    43    25    25    32    23    11    27\n",
      "[35,]    25    29    21    17    73    16    13    15    22    36    34    15\n",
      "[36,]    12    16    18    52    30    24    18    22    23    24    41    29\n",
      "[37,]    30    20    30    26    30    28    21    30    43    28    39    37\n",
      "[38,]    42    21    22    30    26    13    15    22    40    14    19    10\n",
      "[39,]    21    11    19    12    12    22    45    33    13    21    13    25\n",
      "[40,]    22    13    27    19    16    11    14    11    16    14    12    17\n",
      "[41,]    16    23    25    25    19    13    14    21    17    12    19    48\n",
      "[42,]    26    31    27    11    13    14    18    27    26    21    15    38\n",
      "[43,]    19    25    11    23    27    26    30    28    26    14    14    17\n",
      "[44,]    13    20    36    30    28    26    27    29    31    25    22    21\n",
      "[45,]    26    32    31    32    25    28    26    21    16    20    20    19\n",
      "[46,]    28    30    33    33    31    34    30    11    22    33    40    22\n",
      "[47,]    35    29    29    30    27    29    31    20    23    23    13    14\n",
      "[48,]    33    26    27    21    21    21    11    26    18    15    11    12\n",
      "[49,]    15    20    31    16    19    51    42    31    36    17    14    10\n",
      "[50,]    29    41    31    18    63    67    30    14    22    14    11    18\n",
      "[51,]    34    44    48    41    44    56    26    30    26    18    18    16\n",
      "[52,]    32    58    50    53    50    43    35    35    23    17    16    18\n",
      "[53,]    49    68    60    44    41    43    45    36    23    18    19    19\n",
      "[54,]    70    65    56    43    38    37    48    35    22    18    16    33\n",
      "[55,]    49    47    41    34    34    38    55    37    20    19    24    25\n",
      "[56,]    34    32    37    38    37    41    50    43    18    13    17    14\n",
      "[57,]    36    36    38    39    38    48    45    23    12    14    16     8\n",
      "[58,]    34    36    39    40    50    59    37    15    13    13     7     9\n",
      "[59,]    40    41    40    45    57    35    28    12     9     7     5    11\n",
      "[60,]    41    38    50    48    71    39    14     7     5     6    10    11\n",
      "[61,]    50    45    36    24    22    20    16     9     6     7    10    13\n",
      "[62,]    28    21    23    23    23    18    11     7     5     6    13    14\n",
      "[63,]    21    20    23    21    19    17    10     7     7     7    13    11\n",
      "[64,]    30    24    23    22    19    15     8     5     4     5    11    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]    10    12    13\n",
      " [2,]    10    12    12\n",
      " [3,]     9    10    13\n",
      " [4,]     9    11    12\n",
      " [5,]     9    10    11\n",
      " [6,]     7     9    10\n",
      " [7,]     6     7     9\n",
      " [8,]     4     5     5\n",
      " [9,]     7     6     4\n",
      "[10,]    14     8    20\n",
      "[11,]    89   124   162\n",
      "[12,]   119   174   200\n",
      "[13,]   128   161   169\n",
      "[14,]    94   116   150\n",
      "[15,]    57    74   101\n",
      "[16,]    49    52    65\n",
      "[17,]    53    55    54\n",
      "[18,]    83    83    73\n",
      "[19,]    84    86    86\n",
      "[20,]    70    63    70\n",
      "[21,]    58    49    58\n",
      "[22,]    78    68    53\n",
      "[23,]    75    78    53\n",
      "[24,]    50    45    40\n",
      "[25,]    26    20    20\n",
      "[26,]    15    11     7\n",
      "[27,]    12     9     6\n",
      "[28,]    12    13     8\n",
      "[29,]    10    15    15\n",
      "[30,]    10    15    19\n",
      "[31,]     8    12    15\n",
      "[32,]    11    26    22\n",
      "[33,]    23    31    19\n",
      "[34,]    27    26    35\n",
      "[35,]    22    44    64\n",
      "[36,]    28    49    68\n",
      "[37,]    34    30    23\n",
      "[38,]    15    28    26\n",
      "[39,]    21    20    16\n",
      "[40,]    41    57    37\n",
      "[41,]    77    83    69\n",
      "[42,]    72    83    63\n",
      "[43,]    11     9    10\n",
      "[44,]    13    11    12\n",
      "[45,]    12    10    12\n",
      "[46,]    11     9    14\n",
      "[47,]    10    12    17\n",
      "[48,]    13    11    16\n",
      "[49,]    11    14    16\n",
      "[50,]    22    16    16\n",
      "[51,]    25    52    57\n",
      "[52,]    24    36    62\n",
      "[53,]    33    37    42\n",
      "[54,]    32    24    36\n",
      "[55,]    12    15    35\n",
      "[56,]    12    23    10\n",
      "[57,]     7    12    11\n",
      "[58,]    11    10    12\n",
      "[59,]    12    13    15\n",
      "[60,]    14    15    17\n",
      "[61,]    14    17    17\n",
      "[62,]    17    19    19\n",
      "[63,]    10    21    23\n",
      "[64,]    10     9    23\n",
      "\n",
      ", , 10, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   11   11   13   12   12   12   10   10   11    10    10    11    10\n",
      " [2,]   10   12   10   12   12   12   12   12   12    13    11    11    11\n",
      " [3,]   11   12   12   12   12   12   12   10   11    12    11    12    12\n",
      " [4,]   11   12   11   13   12   13   11   12   13    10    10    12    11\n",
      " [5,]   12   11   12   14   12   12   14   13   13    12    12    12    11\n",
      " [6,]   12   12   10   12   12   12   12   11   13    11    12    12    12\n",
      " [7,]   11   13   11   12   11   12   13   13   11    11    11    11    12\n",
      " [8,]   12   13   12   12   13   11   12   12   11    13    11    12    11\n",
      " [9,]   11   12   11   12   13   12   12   12   11    13    10    13    11\n",
      "[10,]   12   11   11   12   11   11   12   11   11    10    10     9    10\n",
      "[11,]   11   13   12   11   11   11   11   10   10    10     8     7     7\n",
      "[12,]   11   12   12   12   12   12   12    8    8     7     5     5     5\n",
      "[13,]   12   12   11   10    9    9    8    7    6     5     4     5     4\n",
      "[14,]   12   10   12   10    8    6    5    5    5     5     5     6     6\n",
      "[15,]   10    9    9    8    6    5    5    5    5     6     8    28    58\n",
      "[16,]   10    9    6    5    4    4    5    5   11    43    73    98   119\n",
      "[17,]    9    7    6    5    5    6   10   40   72   101   113   137   129\n",
      "[18,]    6    5    5    6    5   37   72  102  133   142   155   124   100\n",
      "[19,]    5    5    7   13   64  102  135  140  162   155   136    78   105\n",
      "[20,]    5    7   24   83  124  145  164  156  147   128    53    77    78\n",
      "[21,]    7   25   95  138  153  160  137  112   74    49    63    57    86\n",
      "[22,]   19   93  153  157  151  139  115   55   21    37    51    72    60\n",
      "[23,]   84  151  153  153  133  121   34   11   24    58    54    62    88\n",
      "[24,]  138  154  146  100   79   77   27   35   39    52    53    22    66\n",
      "[25,]  157  149  112   62   43   21   37   26   88   101    44    39    20\n",
      "[26,]  149  146   75   57   23   37   76   89   82    57    56    18    21\n",
      "[27,]  149  131  101   61   46   36   56   96  101    58    35    22    16\n",
      "[28,]  145  124  121   51   27   44   55   81   87    58    25    22    14\n",
      "[29,]  146  127  100  103   43   68   80   83   60    31    14    13    10\n",
      "[30,]  141  128  119  100   69   77   83   61   52    33    21    13     8\n",
      "[31,]  138  123  108   90   90   90   76   64   52    33    24    11    11\n",
      "[32,]  133  120  102  110   95  100   85   60   51    37    20    11     9\n",
      "[33,]  133  112   94  117  103   79   70   55   43    36    16    10    10\n",
      "[34,]  133  122  101  101   95   73   68   64   48    38    18    11    12\n",
      "[35,]  130  120   85   85   85   72   76   68   58    42    27    14    14\n",
      "[36,]  129  122   83   82   83   86   89   81   67    56    32    12    13\n",
      "[37,]  120  123   85   87   92   89   89   78   66    45    22    12    14\n",
      "[38,]  106  124   98   73   70   70   84   85   65    50    23    17    11\n",
      "[39,]   84  118  104   66   89   69   83   85   60    38    26    14    15\n",
      "[40,]   71  122  117   97   47   44   83   72   68    50    31    22    23\n",
      "[41,]   61  107  126  112   67   17   19   25   48    39    32    35    14\n",
      "[42,]   48   88  105   77   27   25   15   14   15    24    33    36    17\n",
      "[43,]   39   64  116   96   22   13   13   14   14    27    46    37    23\n",
      "[44,]   26   48  106  105   82   12   14   17   25    37    39    30    24\n",
      "[45,]   15   20   75  106   90   37   17   28   34    51    62    41    27\n",
      "[46,]   18   18   37  100   89   57   28   28   56    64    70    54    35\n",
      "[47,]   53   15   28   85   82   70   50   60   66    33    75    66    40\n",
      "[48,]   79   21   29   53   76   65   59   63   59    44    42    62    46\n",
      "[49,]   86   53   27   43   66   59   65   55   63    62    50    37    21\n",
      "[50,]  106   69   20   36   47   55   53   57   56    59    62    56    54\n",
      "[51,]  116   83   14   27   36   47   47   44   51    55    52    42    46\n",
      "[52,]  131   89   25   19   23   28   38   35   39    37    35    35    37\n",
      "[53,]  143   90   45   33   28   26   26   26   23    24    19    18    21\n",
      "[54,]  154   98   64   63   52   34   31   28   19    19    21    24    30\n",
      "[55,]  152   99   79   70   69   48   42   45   25    28    37    39    38\n",
      "[56,]  154  101   85   70   71   68   56   49   49    42    44    46    46\n",
      "[57,]  150   99   71   64   70   67   63   60   66    54    47    48    48\n",
      "[58,]  134   96   60   41   55   60   65   67   68    65    59    54    51\n",
      "[59,]  119   89   51   20   36   52   58   54   63    53    50    47    42\n",
      "[60,]   95   77   44   15   13   25   47   52   43    30    35    33    26\n",
      "[61,]   83   72   34    9    9    9   13   23   32    23    17    17    21\n",
      "[62,]   72   53   21   10    8    9    9   10   10    10    11    13    22\n",
      "[63,]   61   46   24    9    8    8    9    9   10     8    10    10     9\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    11    11    10    10     9     9     8     9     8    18    46    79\n",
      " [2,]    11    11    12    12    10     9    10     8     8     8     8     7\n",
      " [3,]    12    12    12    11    10    10     9     7     8     7     7     7\n",
      " [4,]    11    11    12    11    10    10     8     8     7     6     7     6\n",
      " [5,]    12    11    13    12    11    10     9     8     6     6     6     7\n",
      " [6,]    11    12    12    11    10     9     9     7     7     5     6     6\n",
      " [7,]    12    12    11    11    10     9     7     7     6     6     6     6\n",
      " [8,]    11    10    12    10     9     9     7     6     6     6     5     6\n",
      " [9,]    10    10     9     8     7     6     5     5     5     5     4     5\n",
      "[10,]     9     8     6     5     4     5     5     4     4     4     4     4\n",
      "[11,]     7     6     5     4     4     4     4     6     6     7    15    25\n",
      "[12,]     5     4     4     5     6     5    20    42    50    67    67    65\n",
      "[13,]     5     6     5    27    52    74    86   100    91   100    98    80\n",
      "[14,]    23    35    74    97   124   130   127   112    90    84    62    45\n",
      "[15,]    88   110   120   143   132   122   107    92    69    44    29    19\n",
      "[16,]   124   145   139   122   118   104    90    60    31    15    16    16\n",
      "[17,]   121   100   114   110   100    88    68    23    15    18    15    18\n",
      "[18,]   116    67    55    87    75    76    33    14    20    24    19    29\n",
      "[19,]    92    42    34    73    65    24     9    15    26    32    51    45\n",
      "[20,]    88    75    67    57    35    18    14    25    41    39    50    63\n",
      "[21,]   102    79    67    49    31    14    17    49    56    55    63    80\n",
      "[22,]    82    58    46    37    14     9    30    66    72    64    71    77\n",
      "[23,]    61    44    37    15     9     7     8    73    61    54    53    46\n",
      "[24,]    33    29    17     7     7     7    11    73    59    44    33    32\n",
      "[25,]    22    17     8     7     7     7    20    56    44    32    29    35\n",
      "[26,]    16     9     9     7     8    10    24    44    40    30    51    78\n",
      "[27,]    14     9     7     7     9    10    14    38    38    31    29    30\n",
      "[28,]    10     9     8     8     9     8    10    30    42    37    29    31\n",
      "[29,]     8     9     8     9    11     7     7    36    52    46    41    35\n",
      "[30,]    10     9    11     8     8     8     8    35    42    36    30    36\n",
      "[31,]     8     9     9     8     7     8     7     8     9    11    11    10\n",
      "[32,]    10     9     9     8     9     8     7    10     8     8     8    10\n",
      "[33,]    13     9    10     8     7     8     9    11     8     9     9    11\n",
      "[34,]    10     9    10    11    10    19    10    11    17     9    10    13\n",
      "[35,]    11    11     9    10    23     9    12    15    10    14    15    48\n",
      "[36,]    11    11    10     9    10    12     9    10    12    24    52    67\n",
      "[37,]    11    11    11    11    11    11    11    12    21    37    56    55\n",
      "[38,]    13    12    12    12    10    11    11    16    33    42    48    27\n",
      "[39,]    14    11    13    12    12    12    12    29    47    52    60    52\n",
      "[40,]    13    13    12    11    14    14    16    40    38    40    45    46\n",
      "[41,]    13    15    26    14    12    13    26    45    44    42    41    45\n",
      "[42,]    16    26    20    13    15    13    32    39    41    40    43    42\n",
      "[43,]    17    19    13    12    14    14    31    40    42    40    40    40\n",
      "[44,]    14    14    13    14    13    14    35    42    38    38    40    43\n",
      "[45,]    15    13    13    12    11    16    35    38    35    39    43    42\n",
      "[46,]    16    12    13    16    12    14    31    41    40    44    43    40\n",
      "[47,]    16    12    13    15    15    15    26    39    39    49    43    34\n",
      "[48,]    19    13    14    14    16    21    44    40    38    36    34    38\n",
      "[49,]    22    14    13    16    16    19    39    37    38    44    43    43\n",
      "[50,]    32    19    21    15    16    22    39    32    34    44    40    37\n",
      "[51,]    39    19    23    17    15    22    42    49    29    39    42    39\n",
      "[52,]    34    21    32    25    18    17    25    25    25    25    36    39\n",
      "[53,]    22    18    23    38    33    21    21    20    16    20    28    40\n",
      "[54,]    20    16    15    18    38    38    25    17    18    18    16    18\n",
      "[55,]    25    24    17    17    17    17    28    23    22    18    12    32\n",
      "[56,]    35    26    21    21    17    15    17    18    16    17    14    16\n",
      "[57,]    38    27    27    19    20    16    16    13    12    15    15    24\n",
      "[58,]    43    39    27    19    15    17    18    14    14    13    23    17\n",
      "[59,]    38    36    30    18    13    16    13    16    14    16    11    15\n",
      "[60,]    25    20    25    26    26    22    20    15    13    12    12    12\n",
      "[61,]    22    20    27    37    52    53    59    58    41    23    12    14\n",
      "[62,]    31    31    36    38    47    55    70    74    74    76    54    26\n",
      "[63,]    11    18    27    35    34    43    56    75    94    88    84    83\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]    98   117   131   149   149   151   143   153   154   155   151   160\n",
      " [2,]    18    39    66    93   109   120   129   135   132   136   140   138\n",
      " [3,]     6     8     6     9    23    47    79   107   132   144   148   154\n",
      " [4,]     6     6     6     7     8     8     8     7     8    10    16    19\n",
      " [5,]     6     5     6     6     6     6     7     6     6     6     7     7\n",
      " [6,]     6     6     6     6     6     6     6     6     6     5     5     6\n",
      " [7,]     6     6     5     6     6     5     5     6     5     6     7     7\n",
      " [8,]     6     5     5     7     8    12     7     5     6     8     9    15\n",
      " [9,]     5     5     4     6     8     9    10     8    18    33    32    28\n",
      "[10,]     6     6     6     7    12    17    13    43    50    38    27    20\n",
      "[11,]    37    37    40    29    21    17    48    71    75    60    28    30\n",
      "[12,]    65    56    50    42    39    38    63    81    75    37    85    83\n",
      "[13,]    70    53    29    22    21    20    37    44    17    44    56    65\n",
      "[14,]    26    19    19    20    17    18    19    15    15    17    30    22\n",
      "[15,]    18    22    24    18    16    23    21    17    22    23    27    23\n",
      "[16,]    18    28    30    27    15    20    23    19    25    36    45    48\n",
      "[17,]    21    21    22    26    30    30    23    27    35    47    54    60\n",
      "[18,]    28    26    32    44    54    48    49    51    58    74    97    88\n",
      "[19,]    39    48    48    50    74    84    75    73    78    98   118   122\n",
      "[20,]    64    75    90   106   103    96    97    90    93    87   109   121\n",
      "[21,]    92   104    86    97    60    79    86    91   101    69    99    26\n",
      "[22,]    97    86    98    94    84   104   100    96    86    75    35    12\n",
      "[23,]    53    63    52    68    94    97    91    76    59    44    17     7\n",
      "[24,]    35    40    40    54    68    37    56    46    39    16     7     6\n",
      "[25,]    28    29    38    45    59    45    50    48    16     7     7     6\n",
      "[26,]    43    31    44    56    55    77    89    14     9     6     6     6\n",
      "[27,]    42    38    52    88   104    70    17    13     6     7     7     8\n",
      "[28,]    30    37    59    93    41     9     9     6     7     7     8     8\n",
      "[29,]    43    50    49     8     9     6     7     7     7     8     7     9\n",
      "[30,]    48    59    11    12     7     7     7     9     8     8     9     9\n",
      "[31,]    65     5    16     8     7     8     8     8     9     9     9     9\n",
      "[32,]    13    16     9     9     8     8     9     8     8     9     9     9\n",
      "[33,]    17    11     8     9     8     8    10    11    10    10    10    10\n",
      "[34,]    23    22    22    18    18    16    12    24    19    15    18    16\n",
      "[35,]    71    42    42    39    31    26    15    21    24    26    16    29\n",
      "[36,]    56    54    48    33    27    33    31    26    25    22    32    37\n",
      "[37,]    48    45    41    31    32    38    23    23    15    19    21    30\n",
      "[38,]    29    43    37    26    37    21    17    18    14    15    14    15\n",
      "[39,]    35    39    39    35    29    19    15    15    17    15    14    15\n",
      "[40,]    34    35    36    35    25    24    24    21    14    19    19    24\n",
      "[41,]    41    42    40    37    31    28    28    25    16    20    31    31\n",
      "[42,]    45    38    37    38    43    37    27    26    19    31    26    32\n",
      "[43,]    42    34    35    32    22    19    14    29    29    28    36    23\n",
      "[44,]    38    36    33    28    14    15    27    29    30    26    25    22\n",
      "[45,]    37    37    38    34    21    20    18    28    22    18    21    18\n",
      "[46,]    42    37    39    30    28    15    19    27    26    16    14    19\n",
      "[47,]    41    36    22    24    18    25    25    30    28    20    28    30\n",
      "[48,]    34    28    27    28    22    30    34    35    36    29    27    33\n",
      "[49,]    35    26    35    25    31    43    34    37    38    29    33    38\n",
      "[50,]    29    31    23    31    42    28    32    33    29    36    35    33\n",
      "[51,]    31    32    29    36    37    40    41    39    40    37    36    36\n",
      "[52,]    42    39    33    29    36    43    44    40    39    41    30    28\n",
      "[53,]    30    38    37    32    32    26    17    19    21    25    15    19\n",
      "[54,]    25    13    22    19    21    23    23    34    31    14    61    37\n",
      "[55,]    28    33    33    35    32    34    34    34    33    36    20    33\n",
      "[56,]    18    26    31    33    33    34    36    39    37    34    36    25\n",
      "[57,]    13    14    18    30    32    30    30    35    37    37    34    33\n",
      "[58,]    43    19    17    14    23    30    34    37    36    34    34    35\n",
      "[59,]    37    63    38    21    12    26    32    34    35    33    35    35\n",
      "[60,]    13    25    71    68    46    21    18    24    32    35    36    37\n",
      "[61,]    10    10    11    23    77    88    60    19    17    20    23    22\n",
      "[62,]    20    11    10    10     9     8    48    58    33    25     9     9\n",
      "[63,]    74    38    18     9     9    16    26     8     9    35    50    49\n",
      "[64,]     0    43    51    63    46    11     7     9    12    19    24    19\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   145   146   154   160   156   136   156   151   153   150   157   176\n",
      " [2,]   132   137   145   142   141   144   147   151   156   163   174   170\n",
      " [3,]   151   154   155   153   159   161   156   148   109    49    25    15\n",
      " [4,]    33    41    51    34    15    11    12    12    11     9     7     6\n",
      " [5,]     9    10     8     9     7     6     6     5     5     6     6     6\n",
      " [6,]     6     6     6     6     6     6     6     6     6     4     6     6\n",
      " [7,]     7     7     7     8     8     8     9     8     9     9     9     5\n",
      " [8,]    23    27    30    32    32    30    24    25    26    35    24    12\n",
      " [9,]    25    24    22    25    25    26    27    33    48    72    79    73\n",
      "[10,]    22    27    36    40    39    27    35    71    87   105   102   112\n",
      "[11,]    39    38    36    30    17    32    48    69    94    98   117   128\n",
      "[12,]    54    35    24    12    14    22    34    38    39    45    50    62\n",
      "[13,]    58    30    17    13    14    11     9    12    11    10    10     9\n",
      "[14,]    21    28    13    15    14    10    13    14    14    15    17    12\n",
      "[15,]    23    20    12    10    16    13    13    13    11    13    12    16\n",
      "[16,]    30    27    26    20    12    29    39    48    56    54    22    14\n",
      "[17,]    53    34    36    27    25    48    53    71    73    62    65    72\n",
      "[18,]    86    54    24    10    14    14    16    24    39    42    43    48\n",
      "[19,]    78    31    20    10     8     6     5     6     7     7     6     6\n",
      "[20,]    27     7     6     4     4     4     4     4     4     4     4     5\n",
      "[21,]     9     5     4     4     4     5     4     4     4     5     5     4\n",
      "[22,]     6     5     5     5     5     5     5     5     5     5     5     5\n",
      "[23,]     5     5     5     6     6     6     7     7     7     6     7     8\n",
      "[24,]     5     6     6     6     8     8    10     9     9     9    11    10\n",
      "[25,]     6     6     7     7     8     8     9     9    10     9    11     9\n",
      "[26,]     7     7     8    10     9     9    10    10    10    10    10     9\n",
      "[27,]     7     9     8     9    10    10    10    10    10    10    10    10\n",
      "[28,]     9    11     9    11    10    10    10    10    10    10    10    11\n",
      "[29,]    10    10    10    10    10    11    11    10    10    10    10    10\n",
      "[30,]     9     9    10    10    10    11    10    10     9     9    10     8\n",
      "[31,]    10     9    10     9     9     9     9    10    11    10     9     9\n",
      "[32,]    10     9     9     9    10     9     9     9     9     9     9     9\n",
      "[33,]    10    10    10     9     9     9     9     9     8    11    11     9\n",
      "[34,]    26    21    24    22    15    15    16    15    14    20    22    21\n",
      "[35,]    18    14    28    52    31    24    21    20    16    22    25    24\n",
      "[36,]    25    18    29    40    39    41    33    34    35    40    15    13\n",
      "[37,]    28    21    23    26    28    36    35    34    36    15    20    31\n",
      "[38,]    22    30    28    23    29    31    34    35    37    16    24    36\n",
      "[39,]    19    20    20    18    18    35    33    35    37    31    20    24\n",
      "[40,]    23    17    16    17    25    29    32    32    12    40    45    29\n",
      "[41,]    32    26    18    26    32    30    32    43    45    30    26    30\n",
      "[42,]    31    31    23    26    35    34    39    14    32    39    49    34\n",
      "[43,]    20    28    35    37    35    39    16    38    43    44    38    24\n",
      "[44,]    21    26    30    35    41    13    27    44    46    43    27    19\n",
      "[45,]    19    21    21    35    22    18    42    47    45    40    30    25\n",
      "[46,]    26    25    26    34    20    22    39    54    54    44    49    40\n",
      "[47,]    32    31    37    20    25    18    40    45    52    47    48    40\n",
      "[48,]    39    39    30    18    27    19    25    37    51    49    50    39\n",
      "[49,]    38    35    21    20    21    19    15    18    25    21    13    11\n",
      "[50,]    34    22    20    37    30    19    18    13    31    42    41    40\n",
      "[51,]    28    20    45    49    35    17    27    39    32    29    31    37\n",
      "[52,]    51    54    27    55    41    17    36    39    30    32    32    33\n",
      "[53,]    24    21    49    55    38    28    41    34    28    31    29    37\n",
      "[54,]    25    23    54    54    40    36    43    44    35    29    32    48\n",
      "[55,]    22    36    54    53    30    42    38    39    34    36    43    36\n",
      "[56,]    24    45    58    54    24    39    38    36    38    36    42    44\n",
      "[57,]    32    36    15    56    28    39    39    41    37    40    37    35\n",
      "[58,]    33    35    36    18    25    40    40    41    38    39    37    36\n",
      "[59,]    36    35    35    29    32    35    39    39    39    40    38    39\n",
      "[60,]    34    36    34    27    64    21    36    41    41    42    43    41\n",
      "[61,]    13    29    30    52    56    43    34    24    42    40    34    41\n",
      "[62,]    10    21    26    45    67    78    65    37    32    57    54    44\n",
      "[63,]    43    22    12    14    14    13     9     8    10    12    14    30\n",
      "[64,]    17    13    16    21    22    26    32    29    16    12    22    27\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   181   205   165   116    28    19    17     8     7     6     7     7\n",
      " [2,]    95    32    13    12     7     6     6     6     5     6     7     8\n",
      " [3,]    14     9     6     6     7     6     6     5     6     6     7     7\n",
      " [4,]     5     5     5     5     5     6     5     5     5     6     7     8\n",
      " [5,]     5     5     5     5     5     5     6     5     5     6     7     7\n",
      " [6,]     5     5     5     5     5     5     5     5     5     5     6     6\n",
      " [7,]     5     4     4     4     4     4     4     4     5     5     5     5\n",
      " [8,]     8     8     5     5     4     4     4     5     4     4     5     4\n",
      " [9,]    56    43    28    18    13     8     7     6     6     8     7     7\n",
      "[10,]   103    89    78    80    82    77    62    70    55    42    26    15\n",
      "[11,]   146   146   146   141   131   131   122    87    48    25    39    62\n",
      "[12,]    80    94   103   109   116   119   100    77    27    34    60    84\n",
      "[13,]    11    16    20    25    35    41    37    28    18    39    69    88\n",
      "[14,]    12     9    10     9     9     9    11    16    35    50    63    77\n",
      "[15,]    16    15    12    17    18    16    17    16    20    24    31    42\n",
      "[16,]    14    12     9     9    10    11    11     9    12    18    25    37\n",
      "[17,]    53    33    25    20    13     8     8     8    11    21    34    42\n",
      "[18,]    50    50    38    29    29    31    42    39    10    37    65    81\n",
      "[19,]     7     9    20    32    34    30    32    27    19    51    71    76\n",
      "[20,]     5     5     6     6     8    15    22    25    29    43    54    70\n",
      "[21,]     4     4     5     4     5     6     7    16    50    61    70    62\n",
      "[22,]     5     5     5     5     5     5     5     9    24    45    50    62\n",
      "[23,]     7     6     7     5     4     5     5     5    12    21    28    50\n",
      "[24,]     9     8     8     6     6     5     5     6     9    17    15    44\n",
      "[25,]    10     9     8     9     6     7     6     6     8     9    18    31\n",
      "[26,]     9     9     8     8     7     7     7     6     7    13    13    13\n",
      "[27,]     9     9    10     9     8     6     7     8     8    17    11    12\n",
      "[28,]     9     9     8    10     8     8     8     7     8    19     8    13\n",
      "[29,]    11     8     9     9     7     8     9     9    15    30    14    15\n",
      "[30,]     8    10     9     9     8     8     7     8    23    51    34    12\n",
      "[31,]    10     9     8     9     8     7     7    13    34    73    32    16\n",
      "[32,]    10    10     8     8     8     9    10    32    76    78    19     9\n",
      "[33,]     8     9    10     9     8    10    33    40    63    42    29    17\n",
      "[34,]    26    18    17    10    19    42    24    24    30    25    14    25\n",
      "[35,]    23    30    19    19    70    13    13    15    24    32    34    16\n",
      "[36,]    11    16    17    52    28    24    19    23    24    24    40    30\n",
      "[37,]    32    25    31    26    29    24    22    26    41    26    40    37\n",
      "[38,]    40    19    21    27    29    13    16    25    38    16    19     9\n",
      "[39,]    18    11    17    16    13    25    41    30    14    18    12    25\n",
      "[40,]    20    16    27    17    12    13    14    12    11    11    12    15\n",
      "[41,]    16    22    22    24    18    13    15    21    17    12    21    46\n",
      "[42,]    24    33    27    11    12    12    19    26    23    19    21    35\n",
      "[43,]    19    22    10    26    26    25    28    30    28    13    14    15\n",
      "[44,]    12    20    36    28    27    24    27    26    28    25    24    21\n",
      "[45,]    23    32    33    31    26    28    28    21    13    18    21    22\n",
      "[46,]    31    29    31    33    33    33    32    11    22    31    39    20\n",
      "[47,]    33    31    32    28    28    30    26    18    25    24    12    15\n",
      "[48,]    30    24    27    19    21    20    10    29    19    15    10    10\n",
      "[49,]    14    19    31    16    15    51    42    30    37    16    12    10\n",
      "[50,]    32    37    31    19    63    68    29    14    24    12    13    17\n",
      "[51,]    33    42    47    39    42    59    28    27    26    20    16    18\n",
      "[52,]    31    57    51    56    51    44    35    35    23    16    17    18\n",
      "[53,]    50    68    61    45    39    44    44    34    22    18    17    20\n",
      "[54,]    74    62    52    42    36    35    47    32    21    18    18    34\n",
      "[55,]    47    48    43    33    37    37    56    39    20    19    26    24\n",
      "[56,]    33    32    37    39    36    42    51    41    17    14    18    12\n",
      "[57,]    33    36    37    38    39    47    46    22    13    14    15     8\n",
      "[58,]    32    37    37    40    49    58    36    15    13    12     6     8\n",
      "[59,]    39    39    39    42    55    34    24    12     8     6     6    11\n",
      "[60,]    39    38    49    47    72    40    14     8     5     6     8    12\n",
      "[61,]    48    47    33    26    23    20    16    10     7     7    11    13\n",
      "[62,]    28    19    21    23    22    18    10     7     5     7    12    14\n",
      "[63,]    20    20    23    21    20    17     9     7     5     8    13    11\n",
      "[64,]    28    24    22    22    20    15     8     5     4     5    12    11\n",
      "      [,62] [,63] [,64]\n",
      " [1,]     9    11    14\n",
      " [2,]    10    13    13\n",
      " [3,]    10    11    13\n",
      " [4,]     9    10    11\n",
      " [5,]     8     9    10\n",
      " [6,]     7     8    11\n",
      " [7,]     5     7     8\n",
      " [8,]     4     5     5\n",
      " [9,]     6     5     4\n",
      "[10,]    13     8    23\n",
      "[11,]    89   123   161\n",
      "[12,]   118   172   199\n",
      "[13,]   125   161   167\n",
      "[14,]    93   114   149\n",
      "[15,]    56    73    99\n",
      "[16,]    48    52    65\n",
      "[17,]    54    55    53\n",
      "[18,]    83    80    73\n",
      "[19,]    84    86    86\n",
      "[20,]    70    64    69\n",
      "[21,]    58    48    60\n",
      "[22,]    79    65    53\n",
      "[23,]    75    78    51\n",
      "[24,]    48    44    40\n",
      "[25,]    27    20    20\n",
      "[26,]    15    13     9\n",
      "[27,]    13     9     7\n",
      "[28,]    15    13     8\n",
      "[29,]    11    15    16\n",
      "[30,]    10    17    19\n",
      "[31,]     7    12    14\n",
      "[32,]    11    26    22\n",
      "[33,]    24    29    20\n",
      "[34,]    22    27    37\n",
      "[35,]    21    42    63\n",
      "[36,]    27    52    65\n",
      "[37,]    33    29    22\n",
      "[38,]    15    29    27\n",
      "[39,]    21    21    15\n",
      "[40,]    38    58    37\n",
      "[41,]    71    83    70\n",
      "[42,]    72    86    67\n",
      "[43,]     8     7     9\n",
      "[44,]    12    11    12\n",
      "[45,]    12    10    13\n",
      "[46,]    10    10    14\n",
      "[47,]    10    12    17\n",
      "[48,]    13    14    16\n",
      "[49,]    12    14    17\n",
      "[50,]    20    16    16\n",
      "[51,]    24    50    56\n",
      "[52,]    24    35    62\n",
      "[53,]    32    36    44\n",
      "[54,]    32    26    33\n",
      "[55,]    10    15    36\n",
      "[56,]    14    24    10\n",
      "[57,]     8    11    10\n",
      "[58,]    11     9    10\n",
      "[59,]    12    12    15\n",
      "[60,]    14    15    17\n",
      "[61,]    14    16    17\n",
      "[62,]    16    17    19\n",
      "[63,]    10    22    24\n",
      "[64,]    10    10    22\n",
      "\n",
      ", , 11, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]    9   13   12   12   10   13   13   12   12    12    12    12    12\n",
      " [2,]   13   12   11   12   14   12   12   12   11    11    13    12    11\n",
      " [3,]   13   13   13   12   12   11   12   14   13    13    12    12    13\n",
      " [4,]   11   12   12   12   12   12   11   10   15    12    12    12    11\n",
      " [5,]   12   11   10   11   13   12   11   11   14    13    12    12    13\n",
      " [6,]   11   13   11   11   11   13   13   12   11    12    11    12    13\n",
      " [7,]   13   10   12   12   12   12   12   13   11    12    11    12    12\n",
      " [8,]   12   12   13   12   12   12   12   11   12    13    12    12    12\n",
      " [9,]   12   12   12   11   12   12   12   11   11    12    11    11    11\n",
      "[10,]   12   13   12   12   12   12   11   11   10    10    12    10    10\n",
      "[11,]   12   11   12   12   11   11   10   12   12     9     8     8     7\n",
      "[12,]   12   12   13   12   12   10   11    9    9     7     5     5     5\n",
      "[13,]   13   13   12   12   10    9    8    7    6     6     4     4     4\n",
      "[14,]   12   12   11    9    9    6    5    5    5     4     4     7     6\n",
      "[15,]   11   10    9    8    6    5    5    4    5     6     9    30    59\n",
      "[16,]    9    8    6    6    5    5    5    6   11    43    73    99   122\n",
      "[17,]    9    7    6    5    5    6   10   41   73   102   115   139   131\n",
      "[18,]    7    5    5    5    6   39   73  102  133   144   157   127   103\n",
      "[19,]    5    5    6   14   64  102  139  143  164   156   141    81   107\n",
      "[20,]    6    7   24   84  126  147  166  160  151   132    55    81    78\n",
      "[21,]    7   24   97  140  156  163  140  109   75    51    65    56    86\n",
      "[22,]   19   94  156  159  153  140  117   57   21    38    53    74    62\n",
      "[23,]   84  154  157  156  137  121   37   13   22    59    57    63    89\n",
      "[24,]  141  158  148  102   82   79   27   36   39    53    54    24    68\n",
      "[25,]  161  151  113   64   44   24   36   27   89   100    46    41    21\n",
      "[26,]  150  149   76   58   24   40   77   91   83    57    59    17    21\n",
      "[27,]  152  135  106   64   45   38   58   97  105    61    35    23    18\n",
      "[28,]  147  126  123   53   26   47   54   80   88    59    28    24    16\n",
      "[29,]  147  130  103  107   46   68   84   86   59    32    14    12    10\n",
      "[30,]  145  131  123  106   73   78   84   58   49    31    21    13    10\n",
      "[31,]  142  127  110   94   94   92   76   67   53    34    26    12    10\n",
      "[32,]  137  123  103  114   98  101   88   64   53    38    19    10     9\n",
      "[33,]  135  112   95  119  106   82   71   54   44    36    14    11    10\n",
      "[34,]  135  126  101  107   97   76   68   66   53    39    20    13     9\n",
      "[35,]  129  121   89   84   86   75   75   70   59    43    27    14    11\n",
      "[36,]  129  122   86   83   85   89   93   82   69    55    36    13    11\n",
      "[37,]  121  124   86   88   92   90   90   80   66    45    26    12    14\n",
      "[38,]  109  123  104   78   73   70   87   86   70    50    21    19    14\n",
      "[39,]   86  122  106   68   89   71   89   85   64    44    26    13    14\n",
      "[40,]   71  124  123   97   50   51   84   69   69    49    32    24    25\n",
      "[41,]   63  107  128  115   65   19   25   26   48    37    30    38    15\n",
      "[42,]   50   89  110   86   26   21   15   16   15    20    35    32    17\n",
      "[43,]   38   68  115   95   24   15   16   15   13    27    48    40    24\n",
      "[44,]   25   48  106  110   85   14   14   17   25    38    42    33    22\n",
      "[45,]   14   22   77  106   93   39   16   25   34    51    58    41    31\n",
      "[46,]   19   22   38  101   89   61   29   29   52    62    74    54    37\n",
      "[47,]   55   14   27   84   86   72   51   56   67    39    78    67    39\n",
      "[48,]   80   22   29   58   77   66   63   61   56    51    42    63    49\n",
      "[49,]   92   50   34   45   67   60   64   59   62    61    54    40    26\n",
      "[50,]  107   70   23   36   46   55   55   58   58    59    61    57    52\n",
      "[51,]  113   85   15   31   33   50   49   45   52    56    53    46    46\n",
      "[52,]  135   95   29   20   22   31   35   41   39    39    35    38    41\n",
      "[53,]  147   90   45   34   28   26   29   26   21    24    21    21    21\n",
      "[54,]  156  100   70   64   54   32   31   29   23    19    24    24    28\n",
      "[55,]  152  101   77   72   72   52   49   45   27    30    34    39    36\n",
      "[56,]  158  102   84   70   75   69   58   53   50    45    44    46    46\n",
      "[57,]  151  103   76   63   68   68   64   63   68    55    46    49    48\n",
      "[58,]  139   98   61   43   56   60   66   67   70    64    56    52    50\n",
      "[59,]  117   92   53   21   36   51   59   59   63    54    48    44    42\n",
      "[60,]   94   80   42   13   13   25   50   54   46    35    35    33    31\n",
      "[61,]   83   73   35    9    9   10   16   27   33    21    15    20    19\n",
      "[62,]   74   50   23   10    8    9   10   10    9    13    13    12    21\n",
      "[63,]   61   47   26   11    9    9   10    9    9     8     9    10    12\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    10    11    11    10     9    10     9     9     8    21    48    81\n",
      " [2,]    11    12    11    11    11     9     9     8     8     7     8     7\n",
      " [3,]    11    13    12    12    10     9     9     8     7     7     7     7\n",
      " [4,]    11    12    12    13    11     9     8     8     6     8     6     7\n",
      " [5,]    12    13    11    12     9     9     9     8     7     7     7     7\n",
      " [6,]    13    13    12    11     9     9     8     7     6     6     6     6\n",
      " [7,]    12    11    12    12    10     9     8     7     7     6     6     6\n",
      " [8,]    12    12    11    10     9     8     7     6     6     6     6     6\n",
      " [9,]    10     9     9     7     7     7     6     5     4     5     4     4\n",
      "[10,]     9     8     6     4     5     4     4     4     4     4     4     5\n",
      "[11,]     7     6     5     4     4     4     5     5     6     7    15    26\n",
      "[12,]     4     4     4     6     7     5    19    44    52    68    68    66\n",
      "[13,]     5     5     7    26    54    77    87   102    94   101   101    84\n",
      "[14,]    24    36    76   100   126   133   131   115    94    86    65    48\n",
      "[15,]    91   111   123   146   134   125   110    94    73    45    30    21\n",
      "[16,]   126   148   141   127   122   109    95    64    33    18    17    18\n",
      "[17,]   124   104   115   112   105    91    73    26    16    17    15    17\n",
      "[18,]   118    70    57    89    79    78    35    13    21    24    18    29\n",
      "[19,]    96    46    32    76    66    24    12    16    23    29    51    48\n",
      "[20,]    91    78    72    58    39    20    13    23    40    38    49    64\n",
      "[21,]   103    82    70    52    33    14    16    48    59    60    66    78\n",
      "[22,]    85    59    48    38    15    10    22    68    76    66    69    80\n",
      "[23,]    63    46    38    17    10     8     7    69    65    55    54    45\n",
      "[24,]    32    31    17     8     8     7     8    70    66    45    32    33\n",
      "[25,]    24    20     9     8     8     7    16    53    47    34    32    36\n",
      "[26,]    18    10     9     7     9    10    19    36    42    29    42    78\n",
      "[27,]    12    10     8     7    10     8    11    29    41    32    29    25\n",
      "[28,]    10     9     7     7     9     9     9    27    42    39    31    28\n",
      "[29,]     8     8     9    10    10     8     7    27    52    48    42    39\n",
      "[30,]     9     9    10     9     8     8     7    30    38    37    30    35\n",
      "[31,]     9    10    10     9     8     8     7     8     8     9    11     9\n",
      "[32,]    11     9     9     8     8     9     8     9     8     8     7     7\n",
      "[33,]    12     9    10     9     9     8    10    10     9    10     7    11\n",
      "[34,]    10    10    10    12    12    23    10    11    18    10    10    12\n",
      "[35,]    10    10    10    11    17    10    11    17     9    12    16    54\n",
      "[36,]    13     9    10    10    10    13    10    11    12    25    54    69\n",
      "[37,]    11     9    11     9    11    11    12    12    24    40    62    56\n",
      "[38,]    13    12    13    15    12    12    14    17    35    45    58    27\n",
      "[39,]    14    12    12    12    12    11    14    30    52    56    62    51\n",
      "[40,]    14    14    11    12    14    18    17    43    43    44    48    46\n",
      "[41,]    13    17    25    12    13    14    25    44    43    42    42    48\n",
      "[42,]    13    27    19    13    16    13    37    40    43    47    44    41\n",
      "[43,]    16    16    13    12    15    16    34    41    42    39    37    45\n",
      "[44,]    15    14    12    13    12    14    37    43    41    35    39    44\n",
      "[45,]    14    14    12    13    13    13    32    41    36    41    41    41\n",
      "[46,]    18    13    14    19    13    14    31    43    39    44    45    38\n",
      "[47,]    19    14    13    17    13    19    27    37    36    50    45    36\n",
      "[48,]    21    14    15    17    16    23    45    40    35    37    34    37\n",
      "[49,]    26    15    14    14    15    22    35    40    45    43    46    46\n",
      "[50,]    32    18    19    15    18    24    44    29    34    42    41    39\n",
      "[51,]    42    17    23    18    16    21    43    51    31    41    45    40\n",
      "[52,]    36    21    36    26    16    19    25    27    23    28    37    45\n",
      "[53,]    23    17    25    37    31    21    19    19    14    19    25    34\n",
      "[54,]    18    19    13    15    38    37    25    19    17    18    15    18\n",
      "[55,]    31    23    18    19    17    18    27    25    20    18    15    32\n",
      "[56,]    36    24    23    20    17    14    15    18    16    16    16    15\n",
      "[57,]    40    33    25    18    21    17    17    13    12    15    14    28\n",
      "[58,]    46    37    28    19    16    17    17    16    14    14    23    19\n",
      "[59,]    39    34    29    18    18    17    14    15    19    14    12    15\n",
      "[60,]    24    25    27    28    26    20    18    16    12    14    12    12\n",
      "[61,]    23    21    28    34    52    55    57    59    42    23    12    12\n",
      "[62,]    30    36    35    37    47    59    71    75    76    75    55    25\n",
      "[63,]    12    18    33    39    37    43    57    79    97    87    84    86\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]   101   120   132   152   152   153   145   154   157   156   152   162\n",
      " [2,]    20    39    68    96   111   123   132   137   135   136   141   141\n",
      " [3,]     8     8     7     9    25    47    82   107   129   146   150   156\n",
      " [4,]     7     6     7     6     9     9     7     7     7    10    17    19\n",
      " [5,]     6     6     6     7     6     5     6     6     6     6     8     8\n",
      " [6,]     6     6     6     6     6     6     6     6     6     6     6     6\n",
      " [7,]     5     6     5     6     6     6     6     6     6     6     6     7\n",
      " [8,]     5     4     5     8     8    12     8     5     6     8     9    15\n",
      " [9,]     4     4     4     5     8     8    10     8    18    34    32    29\n",
      "[10,]     5     6     5     7    12    15    13    44    52    41    30    21\n",
      "[11,]    36    36    40    29    21    18    51    75    76    61    30    28\n",
      "[12,]    67    57    52    45    41    40    66    83    76    37    84    82\n",
      "[13,]    71    54    31    23    22    22    36    46    17    42    55    63\n",
      "[14,]    28    20    20    21    17    17    20    15    16    16    30    21\n",
      "[15,]    19    22    22    16    17    22    20    15    21    24    26    23\n",
      "[16,]    17    28    30    28    16    20    23    19    25    35    45    46\n",
      "[17,]    21    19    21    26    30    31    25    28    37    49    54    59\n",
      "[18,]    29    25    31    45    54    50    49    52    62    78    99    86\n",
      "[19,]    41    50    50    56    78    95    86    77    78    96   118   125\n",
      "[20,]    68    78    91   108   104    97    95    93   100    85   109   114\n",
      "[21,]    92   105    93    94    63    73    85    93    98    74   100    25\n",
      "[22,]    89    87    92   101    95   104   100    92    76    78    34    10\n",
      "[23,]    51    63    57    55    87    92    88    75    58    44    18     7\n",
      "[24,]    36    37    42    49    72    51    52    45    41    18     7     6\n",
      "[25,]    29    29    37    43    51    44    58    59    17     8     7     6\n",
      "[26,]    54    34    42    59    62    91    91    13     9     7     7     6\n",
      "[27,]    25    36    46    81   106    72    23    11     6     7     7     8\n",
      "[28,]    30    39    55    90    38    12     8     6     6     7     7     8\n",
      "[29,]    41    49    50    11     8     8     7     8     8     8     8     9\n",
      "[30,]    44    59     9    13     8     7     8     8     8    10     9     7\n",
      "[31,]    53     5    15     8     8     8     9     9     9     8    10    11\n",
      "[32,]    11    15     9     9     8     9     9     9     8    10     9    10\n",
      "[33,]    15    10     9     8     9     9    10    10     9     8     9    11\n",
      "[34,]    25    24    23    19    19    18    11    23    17    15    18    17\n",
      "[35,]    75    43    45    42    30    25    17    23    22    27    16    32\n",
      "[36,]    55    57    48    33    27    32    29    26    23    25    35    39\n",
      "[37,]    48    49    43    31    36    41    26    23    14    22    24    30\n",
      "[38,]    30    45    36    28    37    19    18    17    14    12    12    14\n",
      "[39,]    37    36    36    37    30    19    17    18    18    15    16    16\n",
      "[40,]    36    39    37    34    24    22    23    19    14    21    21    25\n",
      "[41,]    44    43    40    39    36    28    25    31    15    21    32    31\n",
      "[42,]    47    38    40    40    45    36    28    26    23    30    30    32\n",
      "[43,]    37    35    36    34    21    16    15    30    33    31    32    25\n",
      "[44,]    40    36    35    30    15    16    28    32    27    28    21    21\n",
      "[45,]    37    37    42    35    25    25    21    31    23    21    22    20\n",
      "[46,]    42    35    38    31    26    17    19    29    27    20    16    21\n",
      "[47,]    40    34    25    24    18    28    22    32    29    18    27    30\n",
      "[48,]    33    26    28    30    27    32    35    34    39    29    26    35\n",
      "[49,]    30    27    32    24    28    42    33    40    35    29    32    38\n",
      "[50,]    32    31    28    30    42    34    34    35    29    36    35    36\n",
      "[51,]    32    29    26    37    39    43    45    38    40    35    36    35\n",
      "[52,]    45    39    29    27    37    42    44    41    39    36    31    29\n",
      "[53,]    29    38    38    38    35    26    19    16    22    27    16    22\n",
      "[54,]    29    11    20    21    22    28    28    33    28    13    58    37\n",
      "[55,]    28    36    33    37    34    36    36    36    36    33    20    35\n",
      "[56,]    18    28    31    33    35    36    36    38    36    37    34    23\n",
      "[57,]    14    15    20    28    33    32    34    35    37    41    38    32\n",
      "[58,]    49    21    16    15    25    32    32    33    36    34    35    35\n",
      "[59,]    37    66    38    20    12    23    32    34    35    34    33    37\n",
      "[60,]    10    26    72    71    43    19    18    23    32    37    37    36\n",
      "[61,]    10    12    11    21    78    91    62    17    16    19    22    20\n",
      "[62,]    19    11     9    10     9     9    47    59    35    25    11     9\n",
      "[63,]    77    41    20    12    10    16    26    10     8    33    53    50\n",
      "[64,]     0    45    52    63    43    11     7     9    13    19    24    20\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   148   148   157   162   158   138   159   154   154   155   158   179\n",
      " [2,]   135   139   146   142   144   148   149   155   159   166   178   172\n",
      " [3,]   153   157   161   156   161   164   161   151   111    54    23    18\n",
      " [4,]    35    39    50    34    16    12    12    13    12     9     7     6\n",
      " [5,]    10     9     9     8     8     6     6     6     6     5     6     6\n",
      " [6,]     6     6     7     6     6     6     6     6     6     5     5     5\n",
      " [7,]     7     8     8     9     8     9     9     9     9     9     9     6\n",
      " [8,]    23    26    31    35    33    30    24    25    26    36    24    11\n",
      " [9,]    25    25    21    25    25    26    26    34    48    73    80    73\n",
      "[10,]    21    28    35    40    40    29    36    73    86   107   103   112\n",
      "[11,]    38    36    34    28    18    33    50    70    96   100   120   130\n",
      "[12,]    51    34    23    13    14    23    35    40    40    46    53    64\n",
      "[13,]    56    29    16    15    15    12    11    12    10    11    10     9\n",
      "[14,]    22    27    14    17    14    10    12    14    14    15    17    12\n",
      "[15,]    23    20    13    10    17    14    14    13    10    13    12    15\n",
      "[16,]    30    27    27    18    10    31    40    51    58    57    23    14\n",
      "[17,]    53    34    36    25    31    52    56    73    73    64    67    72\n",
      "[18,]    82    52    22     9    15    15    17    24    39    44    45    49\n",
      "[19,]    76    29    20    10     8     6     5     6     7     8     6     7\n",
      "[20,]    25     6     5     5     4     4     4     5     4     5     4     5\n",
      "[21,]     9     5     5     4     4     4     4     4     5     4     5     4\n",
      "[22,]     6     4     5     5     6     5     5     5     5     6     5     5\n",
      "[23,]     6     6     6     6     6     6     7     7     7     8     8     8\n",
      "[24,]     6     7     6     5     7     8     9     9    10    11    11    10\n",
      "[25,]     6     7     8     8     9    10    10    10    10     9    10    11\n",
      "[26,]     6     9     9     9    10     9    10    10    11    11    10    10\n",
      "[27,]     8     8     9    11    11    10    11    11    10    10    10    10\n",
      "[28,]     9    10    10    10    11    10    10    10    10    10    11     9\n",
      "[29,]    10    10     9    11     9    10     9    10     9    10     9     9\n",
      "[30,]    10    10    10     9    10    10    10    10     9    10    10     8\n",
      "[31,]     9     9    10    10    10    10    11    10    10    10     9     9\n",
      "[32,]    10     9     9     9    10     9    10    10    10    10     9    10\n",
      "[33,]     9     9    10     9    10    10    10     9    10    10    12    10\n",
      "[34,]    22    18    20    18    17    16    15    14    14    19    23    22\n",
      "[35,]    20    16    31    51    29    24    21    21    18    25    24    24\n",
      "[36,]    24    21    30    43    39    43    33    33    35    39    16    13\n",
      "[37,]    27    22    23    23    30    37    36    35    35    16    18    27\n",
      "[38,]    24    29    28    26    26    31    33    38    36    12    28    34\n",
      "[39,]    18    19    19    18    18    36    34    37    36    33    17    24\n",
      "[40,]    25    18    16    18    28    31    33    35    13    35    43    34\n",
      "[41,]    30    21    22    28    32    31    33    46    50    33    25    26\n",
      "[42,]    27    30    22    28    36    37    39    17    32    36    53    36\n",
      "[43,]    23    25    29    34    39    40    14    40    42    45    39    25\n",
      "[44,]    21    26    29    36    36    13    28    43    45    41    28    18\n",
      "[45,]    21    21    25    39    23    19    40    52    47    39    31    20\n",
      "[46,]    25    25    24    33    24    20    41    55    56    49    50    39\n",
      "[47,]    33    36    38    20    25    19    45    46    54    48    48    40\n",
      "[48,]    41    41    28    17    27    18    23    38    51    50    50    40\n",
      "[49,]    35    37    20    22    20    17    17    15    21    19    16    10\n",
      "[50,]    37    25    18    37    29    24    20    13    32    45    46    42\n",
      "[51,]    29    18    48    53    36    15    27    39    37    32    33    35\n",
      "[52,]    57    53    31    56    41    20    37    36    31    30    32    34\n",
      "[53,]    26    21    49    55    35    29    43    33    31    29    30    34\n",
      "[54,]    22    24    54    58    40    37    45    43    34    28    32    50\n",
      "[55,]    22    37    56    56    26    42    38    36    34    37    48    35\n",
      "[56,]    24    47    58    57    21    40    40    36    37    36    42    45\n",
      "[57,]    33    37    17    60    27    38    40    41    37    41    39    37\n",
      "[58,]    32    34    34    18    28    40    42    43    37    40    37    34\n",
      "[59,]    36    37    34    30    34    37    42    41    39    39    38    38\n",
      "[60,]    34    36    34    26    65    20    37    43    43    40    40    41\n",
      "[61,]    16    29    31    55    57    44    35    23    43    39    32    41\n",
      "[62,]     9    21    28    45    68    80    67    40    33    56    54    43\n",
      "[63,]    45    23    12    13    13    14     9     9    11    12    14    30\n",
      "[64,]    18    15    16    20    19    24    32    26    15    14    21    26\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   187   208   171   121    28    19    17     8     7     6     8     8\n",
      " [2,]    97    36    14    12     7     7     6     6     6     7     7     8\n",
      " [3,]    14     9     6     6     6     7     6     5     5     6     6     8\n",
      " [4,]     6     6     5     5     6     6     6     6     6     6     7     8\n",
      " [5,]     5     5     6     6     5     5     6     6     6     6     6     8\n",
      " [6,]     5     5     5     5     4     5     5     5     6     5     5     6\n",
      " [7,]     4     4     4     4     4     5     4     5     4     5     5     6\n",
      " [8,]     7     7     6     5     5     4     4     4     4     4     4     4\n",
      " [9,]    56    43    28    19    12    10     7     6     6     7     8     7\n",
      "[10,]   102    90    79    81    83    79    66    71    56    42    27    15\n",
      "[11,]   147   148   150   143   133   132   122    89    48    25    42    64\n",
      "[12,]    81    96   104   110   119   119   101    77    27    36    61    87\n",
      "[13,]    12    17    19    25    36    42    38    28    20    41    71    91\n",
      "[14,]    12    10     9    10    10     9    11    17    38    54    63    79\n",
      "[15,]    16    14    14    18    17    16    17    15    21    26    30    43\n",
      "[16,]    14    13     9    10    10    10    11    10    12    18    26    38\n",
      "[17,]    54    34    26    20    13     7     7     9    11    21    35    43\n",
      "[18,]    50    51    37    30    27    31    42    36    11    40    67    82\n",
      "[19,]     7    10    20    32    36    31    31    26    20    53    72    78\n",
      "[20,]     6     6     6     5     8    16    24    27    30    43    56    71\n",
      "[21,]     4     5     4     4     5     7     8    15    51    64    69    62\n",
      "[22,]     5     5     5     4     5     4     5     8    23    45    52    64\n",
      "[23,]     7     7     7     6     5     5     5     5    11    21    28    51\n",
      "[24,]    10     9     8     7     5     5     4     6    10    16    15    44\n",
      "[25,]    10     8     8     8     7     6     7     7     8     7    19    29\n",
      "[26,]     9    10     9     9     8     7     7     7     6    13    14    14\n",
      "[27,]     9    10    10     9     8     8     7     7     9    16    12    11\n",
      "[28,]     9    10     9     8     8     8     8     8    10    18     9    13\n",
      "[29,]    10    10     9     9     8     9     8     9    16    31    15    17\n",
      "[30,]     9     9     9     9     9     9     7     8    25    48    37    14\n",
      "[31,]    10     9     9     8     9     8     7    12    32    78    33    15\n",
      "[32,]     9     9     9    10     9     8    10    32    80    78    21    10\n",
      "[33,]     9    10     8    10    10    11    34    40    61    43    25    12\n",
      "[34,]    21    17    17    11    18    45    24    23    32    26    13    25\n",
      "[35,]    26    32    18    18    71    13    16    17    23    32    28    13\n",
      "[36,]    11    17    17    53    29    23    20    21    22    25    40    28\n",
      "[37,]    31    24    31    29    30    25    18    26    43    29    45    44\n",
      "[38,]    41    22    20    33    29    13    14    24    42    18    20    12\n",
      "[39,]    21    11    19    15    14    23    44    31    13    20    13    23\n",
      "[40,]    18    16    25    17    13    11    16    11    13    12    13    17\n",
      "[41,]    19    23    26    25    19    11    12    24    17    12    18    44\n",
      "[42,]    29    35    25    13    11    15    21    28    26    22    18    32\n",
      "[43,]    18    24    11    29    27    24    31    31    29    12    13    17\n",
      "[44,]    14    17    35    28    25    27    28    28    29    26    20    20\n",
      "[45,]    25    35    34    28    24    29    29    21    13    20    22    21\n",
      "[46,]    30    35    33    32    34    35    33    10    19    35    44    21\n",
      "[47,]    36    31    31    30    27    30    28    19    28    22    12    14\n",
      "[48,]    28    23    26    20    22    21    12    27    19    17    11     9\n",
      "[49,]     9    22    33    17    15    52    42    33    38    16    13    10\n",
      "[50,]    34    38    30    15    63    67    30    14    24    14    15    20\n",
      "[51,]    34    46    48    38    43    58    30    29    26    23    18    18\n",
      "[52,]    30    59    52    59    52    45    37    36    24    16    18    18\n",
      "[53,]    51    64    62    43    44    39    46    36    24    18    16    22\n",
      "[54,]    74    62    54    42    36    37    49    35    21    17    18    30\n",
      "[55,]    47    49    41    32    37    39    54    40    21    22    23    24\n",
      "[56,]    34    30    36    39    36    42    53    46    19    14    19    12\n",
      "[57,]    33    35    36    39    40    48    45    20    11    15    13     9\n",
      "[58,]    34    40    37    41    50    60    38    14    14    13     7     7\n",
      "[59,]    39    41    42    46    55    36    27    13     8     8     6    13\n",
      "[60,]    43    39    49    46    70    40    15     9     6     6     9    12\n",
      "[61,]    49    46    34    25    22    21    15    10     7     7    11    14\n",
      "[62,]    30    19    23    23    21    18    12     7     5     7    13    14\n",
      "[63,]    23    20    23    21    21    18    10     7     5     7    13    11\n",
      "[64,]    30    23    23    23    20    16     8     5     4     5    12    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]    10    11    12\n",
      " [2,]    10    12    13\n",
      " [3,]    10    12    12\n",
      " [4,]     9    11    11\n",
      " [5,]     9     9    10\n",
      " [6,]     7     9    10\n",
      " [7,]     6     8     8\n",
      " [8,]     4     5     5\n",
      " [9,]     6     5     4\n",
      "[10,]    12     9    23\n",
      "[11,]    92   128   165\n",
      "[12,]   120   176   203\n",
      "[13,]   129   164   170\n",
      "[14,]    95   118   152\n",
      "[15,]    57    74   101\n",
      "[16,]    49    53    65\n",
      "[17,]    55    56    53\n",
      "[18,]    85    81    76\n",
      "[19,]    86    87    88\n",
      "[20,]    72    65    70\n",
      "[21,]    59    48    60\n",
      "[22,]    81    67    55\n",
      "[23,]    76    79    51\n",
      "[24,]    48    45    42\n",
      "[25,]    26    22    22\n",
      "[26,]    15    14     9\n",
      "[27,]    13     9     6\n",
      "[28,]    12    12     9\n",
      "[29,]    11    15    14\n",
      "[30,]    11    14    21\n",
      "[31,]     9    12    14\n",
      "[32,]    11    27    21\n",
      "[33,]    25    30    19\n",
      "[34,]    24    27    37\n",
      "[35,]    22    47    63\n",
      "[36,]    28    51    68\n",
      "[37,]    37    29    21\n",
      "[38,]    17    28    30\n",
      "[39,]    23    22    18\n",
      "[40,]    34    50    32\n",
      "[41,]    76    84    73\n",
      "[42,]    72    90    70\n",
      "[43,]    12    11     9\n",
      "[44,]    11     9    12\n",
      "[45,]    13    10    14\n",
      "[46,]    10     9    14\n",
      "[47,]    11    12    17\n",
      "[48,]    13    13    17\n",
      "[49,]    12    13    15\n",
      "[50,]    22    18    18\n",
      "[51,]    25    50    56\n",
      "[52,]    24    34    64\n",
      "[53,]    33    38    43\n",
      "[54,]    37    25    33\n",
      "[55,]    10    15    35\n",
      "[56,]    14    24    11\n",
      "[57,]     9    12    12\n",
      "[58,]    12    10    10\n",
      "[59,]    12    12    15\n",
      "[60,]    14    15    17\n",
      "[61,]    14    17    18\n",
      "[62,]    16    17    18\n",
      "[63,]    10    21    24\n",
      "[64,]    10     9    22\n",
      "\n",
      ", , 12, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]    9   11   10   12   13   12   11   11   10    11    11    11    10\n",
      " [2,]   11   12   10   12   12   12   11   13   13    11    12    12    11\n",
      " [3,]   11   12   11   11   11   13   11   12   13    12    11    13    13\n",
      " [4,]   11   13   11   11   11   11   11   11   13    12    11    13    13\n",
      " [5,]   12   12   11   11   11   10   11   12   13    13    11    12    11\n",
      " [6,]   12   11   12   11   10   13   11   12   12    12    11    11    12\n",
      " [7,]   12   12   12   12   12   12   11   11   13    11    11    11    12\n",
      " [8,]   11   14   11   12   11   13   12   14   11    11    12    11    11\n",
      " [9,]   12   11   12   11   12   12   11   13   12    12    11    11    10\n",
      "[10,]   12   11   11   12   12   11   10   12   12    11    11    11     9\n",
      "[11,]   12   13   12   12   11   12   12   10    9     8     8     7     7\n",
      "[12,]   11   12   13   12   12   13   10    9    8     8     5     5     4\n",
      "[13,]   13   13   11   11    9    9    8    7    7     5     6     4     5\n",
      "[14,]   12   11   11   10    8    7    5    5    5     4     5     6     6\n",
      "[15,]   11   10    9    8    7    5    5    4    5     6     8    31    60\n",
      "[16,]   10    8    7    6    5    5    5    6   11    43    73   101   120\n",
      "[17,]    8    7    6    5    4    5   10   40   71   101   113   139   129\n",
      "[18,]    7    6    5    5    6   37   74  101  132   143   158   127   103\n",
      "[19,]    5    5    6   14   65  103  137  142  162   156   139    79   106\n",
      "[20,]    6    6   24   83  124  145  164  159  149   131    55    80    78\n",
      "[21,]    6   25   96  138  157  162  140  113   76    51    66    56    86\n",
      "[22,]   19   93  155  160  151  140  116   57   23    38    52    73    60\n",
      "[23,]   83  152  155  155  134  120   38   13   23    58    55    65    88\n",
      "[24,]  141  157  148  102   82   80   27   35   39    52    54    26    69\n",
      "[25,]  160  150  114   65   45   23   35   29   89   101    44    41    22\n",
      "[26,]  151  150   75   58   24   39   77   89   85    57    58    17    21\n",
      "[27,]  151  134  104   64   45   38   56   95  103    60    35    23    19\n",
      "[28,]  147  123  124   51   27   45   55   81   89    59    28    23    14\n",
      "[29,]  147  131  104  107   46   69   80   83   62    32    14    13    12\n",
      "[30,]  143  129  120  102   72   79   83   61   52    31    21    15    10\n",
      "[31,]  140  129  110   91   91   89   76   64   55    35    24    11    11\n",
      "[32,]  138  121  104  113   96  103   88   63   55    38    20    12    10\n",
      "[33,]  135  113   96  119  103   82   71   54   43    35    14    10    10\n",
      "[34,]  133  123  102  106   96   76   67   64   49    40    22    12    11\n",
      "[35,]  130  122   88   84   87   76   74   69   60    44    28    14    11\n",
      "[36,]  126  122   86   82   84   89   90   81   66    56    33    15    13\n",
      "[37,]  122  123   87   88   90   92   92   80   66    45    27    13    13\n",
      "[38,]  105  125  105   80   75   74   83   88   66    48    23    20    13\n",
      "[39,]   87  119  106   68   94   71   87   85   68    43    23    14    14\n",
      "[40,]   72  123  120   95   51   47   81   70   68    50    35    27    21\n",
      "[41,]   61  108  127  112   60   19   22   27   49    40    32    34    17\n",
      "[42,]   48   88  103   79   27   20   15   15   19    22    36    37    19\n",
      "[43,]   39   66  114   94   22   12   15   15   16    26    47    41    24\n",
      "[44,]   25   45  107  108   86   14   13   16   25    36    42    33    23\n",
      "[45,]   15   23   77  107   97   34   17   26   34    56    63    40    29\n",
      "[46,]   18   18   37   99   92   63   30   31   54    65    76    56    35\n",
      "[47,]   53   17   21   83   86   70   57   57   69    39    77    68    40\n",
      "[48,]   83   25   27   55   79   64   57   62   54    49    44    63    47\n",
      "[49,]   96   50   30   41   67   61   68   54   64    63    49    39    22\n",
      "[50,]  106   70   21   38   44   56   56   55   55    57    62    59    53\n",
      "[51,]  120   86   14   30   35   47   47   49   52    55    56    46    49\n",
      "[52,]  129   90   24   20   27   31   35   38   40    37    38    40    39\n",
      "[53,]  148   86   48   34   28   27   29   26   19    24    25    18    17\n",
      "[54,]  153  100   73   65   54   35   28   27   20    16    21    25    29\n",
      "[55,]  151   99   78   74   74   53   45   46   26    31    33    36    37\n",
      "[56,]  160  104   78   69   73   67   59   50   50    44    47    47    46\n",
      "[57,]  150  100   74   62   69   68   62   60   64    54    49    49    51\n",
      "[58,]  138   98   61   42   54   61   65   66   71    65    58    52    51\n",
      "[59,]  118   88   53   22   34   50   60   60   67    56    49    46    42\n",
      "[60,]   96   80   45   12   12   26   47   53   42    34    35    31    27\n",
      "[61,]   84   71   37   10    9    9   15   24   30    20    18    17    19\n",
      "[62,]   73   53   22   10    9    9   11   10   10    12    10    13    23\n",
      "[63,]   59   46   22   11    9    9    8    9    9     9     9     9     9\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    12    11    11    11     9     8     9     9     8    16    46    79\n",
      " [2,]    13    12    11    11    11     9     9     9     8     8     7     6\n",
      " [3,]    11    12    11    10    10    10     9     8     7     7     7     6\n",
      " [4,]    11    11    12    12    11    10     8     8     7     6     7     6\n",
      " [5,]    13    12    12    11    10    10     9     8     7     6     7     7\n",
      " [6,]    13    13    10    10    11    10     9     8     7     6     7     6\n",
      " [7,]    12    12    11    12    11     9     8     7     6     6     5     6\n",
      " [8,]    12    11    10     9     9     8     7     6     5     6     5     5\n",
      " [9,]    11    10     8     8     6     6     6     5     5     5     4     4\n",
      "[10,]     9     7     6     4     4     4     4     4     4     4     4     5\n",
      "[11,]     6     6     5     4     4     5     5     6     7     6    15    25\n",
      "[12,]     5     5     4     6     7     5    20    43    51    68    69    66\n",
      "[13,]     5     6     7    25    54    76    89   103    95   104   103    83\n",
      "[14,]    23    35    76   101   127   132   132   116    95    86    67    49\n",
      "[15,]    90   111   122   145   135   125   112    98    73    45    32    21\n",
      "[16,]   126   149   141   128   123   110    95    65    33    17    17    19\n",
      "[17,]   122   104   116   113   104    93    75    28    17    16    15    18\n",
      "[18,]   118    70    56    90    81    82    37    15    21    23    19    32\n",
      "[19,]    94    51    34    76    67    25    11    15    23    30    51    46\n",
      "[20,]    90    78    70    59    39    23    15    23    41    38    50    67\n",
      "[21,]   102    82    69    53    33    14    14    47    57    62    69    77\n",
      "[22,]    85    60    48    40    17    11    23    68    75    69    66    79\n",
      "[23,]    64    48    39    17     9     8     7    74    64    54    51    43\n",
      "[24,]    32    31    16     8     8     6     7    78    63    42    30    28\n",
      "[25,]    22    20     9     8     7     7    17    56    47    32    26    31\n",
      "[26,]    18     9     9     8     7     9    18    41    40    24    34    73\n",
      "[27,]    12     9     9     8     8     9    13    31    40    28    27    23\n",
      "[28,]     9     8     7     7    10     9     8    27    41    35    28    24\n",
      "[29,]     9     8     8     9    10     9     8    30    53    50    42    33\n",
      "[30,]     9     8     9     8     9     7     8    31    47    47    34    34\n",
      "[31,]    10    10     9     9     7     7     7     9    10    11    13    13\n",
      "[32,]    11    10     9     8     8     9     9     9     7     8     7     9\n",
      "[33,]    11     9     9     8    10     9     8    10    10     9     9    11\n",
      "[34,]    11     8     9    11    11    19    10    12    22     9     8    14\n",
      "[35,]    10    11     9    11    18    10    10    16    10    12    16    46\n",
      "[36,]    11    10    10    10    10    12    10    10    11    26    57    73\n",
      "[37,]    11     9    10    10    11    11    13    13    22    41    62    55\n",
      "[38,]    13    11    12    13    11    12    12    16    39    51    55    32\n",
      "[39,]    15    12    12    13    13    11    15    31    53    55    60    46\n",
      "[40,]    13    12    11    11    13    16    16    41    41    48    49    47\n",
      "[41,]    15    14    25    13    14    11    24    46    44    38    42    46\n",
      "[42,]    15    25    20    13    14    15    35    40    45    43    45    43\n",
      "[43,]    16    16    14    13    15    13    35    41    42    38    40    42\n",
      "[44,]    16    14    12    14    13    14    35    40    43    35    38    45\n",
      "[45,]    14    14    13    13    14    15    35    38    38    40    40    39\n",
      "[46,]    17    13    13    13    13    16    30    39    38    39    44    42\n",
      "[47,]    19    15    12    15    14    17    26    37    37    47    43    37\n",
      "[48,]    21    12    14    14    15    23    41    35    34    35    26    37\n",
      "[49,]    23    18    13    14    14    22    38    38    44    47    46    45\n",
      "[50,]    30    18    21    19    18    22    39    33    36    42    43    38\n",
      "[51,]    41    16    23    19    17    24    41    46    30    34    45    40\n",
      "[52,]    35    22    30    29    18    17    23    27    28    30    33    40\n",
      "[53,]    19    18    23    35    31    19    18    20    16    18    26    33\n",
      "[54,]    17    20    13    16    39    34    27    17    17    19    14    23\n",
      "[55,]    29    24    17    18    17    17    26    26    20    18    14    35\n",
      "[56,]    34    25    23    20    18    13    17    17    14    14    15    16\n",
      "[57,]    44    31    24    20    21    18    13    11    16    15    14    24\n",
      "[58,]    46    36    32    20    16    19    16    15    17    13    22    17\n",
      "[59,]    38    37    28    20    18    16    14    14    15    14    12    17\n",
      "[60,]    25    26    25    29    28    25    22    20    12    15    13    13\n",
      "[61,]    23    24    27    34    52    54    61    58    45    21    11    13\n",
      "[62,]    32    33    38    41    48    59    73    77    75    76    55    27\n",
      "[63,]    11    16    28    39    34    42    57    75    94    89    85    85\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]   103   120   133   151   149   151   144   153   156   158   153   159\n",
      " [2,]    20    39    68    95   111   121   131   136   135   136   141   139\n",
      " [3,]     7     7     7     8    22    46    81   106   127   146   150   154\n",
      " [4,]     6     7     6     6     7     8     9     9     7     9    17    20\n",
      " [5,]     7     6     6     5     6     6     5     7     7     7     7     7\n",
      " [6,]     6     6     5     6     5     5     5     6     6     6     6     5\n",
      " [7,]     6     6     6     5     6     6     5     6     6     6     6     6\n",
      " [8,]     6     6     6     7     8    12     7     6     7     8     9    15\n",
      " [9,]     4     5     4     5     7     8    10     7    17    31    32    28\n",
      "[10,]     5     6     6     8    12    14    13    44    51    41    30    21\n",
      "[11,]    34    36    41    29    21    18    51    75    77    62    30    28\n",
      "[12,]    66    58    52    45    42    41    69    83    78    37    83    80\n",
      "[13,]    72    55    31    24    22    23    36    47    17    41    55    64\n",
      "[14,]    28    20    19    20    18    16    21    17    16    18    28    21\n",
      "[15,]    19    21    23    17    16    23    20    15    20    23    26    22\n",
      "[16,]    19    28    30    28    16    21    24    19    27    35    44    44\n",
      "[17,]    22    21    24    27    29    30    24    29    36    48    52    57\n",
      "[18,]    29    27    33    46    54    52    50    53    63    79    94    82\n",
      "[19,]    43    54    56    59    78    97    94    78    77    84   111   123\n",
      "[20,]    68    77    90   100   104    96    88    92   100    81   103   124\n",
      "[21,]    89   103    94    86    71    55    78    88    96    74    93    28\n",
      "[22,]    81    82    90   105    99    99    97    86    72    70    45    10\n",
      "[23,]    45    56    52    48    79    76    70    68    56    46    20     8\n",
      "[24,]    32    31    35    37    64    63    44    45    43    16     9     6\n",
      "[25,]    28    24    27    33    37    36    57    72    11     8     6     6\n",
      "[26,]    65    33    32    46    58    90    92     9    10     7     6     7\n",
      "[27,]    27    33    34    63   106    72    20    11     6     7     7     7\n",
      "[28,]    23    26    38    76    36     9     7     6     6     8     9     8\n",
      "[29,]    34    42    47    14     8     8     6     7     9     8    10     9\n",
      "[30,]    41    61     9    14     7     8     8     8     8     8     9     9\n",
      "[31,]    57     6    18     9     7     8     8     8     9     9    10    10\n",
      "[32,]    12    17     9     8     8     9     9     8    10    10     9    10\n",
      "[33,]    17     9     8     9    10     9    10    10     9    10     8    10\n",
      "[34,]    21    25    24    17    16    16    12    22    19    17    17    17\n",
      "[35,]    76    46    45    42    29    26    15    25    22    27    16    29\n",
      "[36,]    58    60    53    33    28    36    31    26    26    22    34    37\n",
      "[37,]    46    50    41    31    33    43    28    23    13    22    26    29\n",
      "[38,]    30    44    39    31    34    20    20    17    13    16    13    17\n",
      "[39,]    37    35    33    37    28    17    17    14    17    16    14    13\n",
      "[40,]    37    40    39    32    22    22    23    20    15    25    21    22\n",
      "[41,]    47    45    38    39    36    29    25    24    14    21    32    28\n",
      "[42,]    45    41    41    38    44    41    25    26    25    29    26    31\n",
      "[43,]    40    35    35    34    20    18    15    34    34    31    35    23\n",
      "[44,]    40    39    30    28    16    14    27    31    27    24    22    15\n",
      "[45,]    33    37    37    38    23    25    20    30    23    18    21    16\n",
      "[46,]    41    40    37    32    22    17    19    27    27    20    15    21\n",
      "[47,]    35    34    25    26    20    25    26    30    26    20    29    30\n",
      "[48,]    37    27    27    27    26    34    39    35    37    29    25    33\n",
      "[49,]    31    25    31    23    29    40    32    39    34    26    37    37\n",
      "[50,]    28    31    26    31    43    31    31    34    28    36    36    36\n",
      "[51,]    34    31    29    35    34    40    38    38    39    37    37    36\n",
      "[52,]    43    39    35    33    37    43    41    36    41    38    32    30\n",
      "[53,]    26    38    40    35    32    26    18    19    20    26    16    22\n",
      "[54,]    23    16    20    20    23    26    28    31    29    13    57    34\n",
      "[55,]    29    35    38    40    34    34    37    40    35    35    19    37\n",
      "[56,]    17    26    32    34    36    35    37    37    38    35    36    20\n",
      "[57,]    12    17    19    31    31    33    34    34    36    38    34    34\n",
      "[58,]    43    20    18    15    25    31    31    32    34    32    36    33\n",
      "[59,]    37    63    40    19    10    23    32    33    36    35    34    36\n",
      "[60,]    10    24    69    71    44    22    16    22    33    35    36    36\n",
      "[61,]    12    12    11    20    73    88    62    18    15    19    21    22\n",
      "[62,]    20    12    10    10     9     7    48    61    35    27    11    10\n",
      "[63,]    77    40    21    10    10    16    27     9    10    35    51    48\n",
      "[64,]     0    45    52    60    47    11     7     8    12    20    24    20\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   147   147   156   164   156   137   158   153   155   155   161   179\n",
      " [2,]   135   140   146   142   144   148   150   155   158   166   177   172\n",
      " [3,]   151   157   161   156   159   165   159   150   109    50    25    16\n",
      " [4,]    35    38    49    33    15    11    13    10    12     9     6     6\n",
      " [5,]     7    10    10     8     8     7     7     6     5     6     6     6\n",
      " [6,]     5     6     6     6     5     5     6     6     5     5     5     5\n",
      " [7,]     7     8     8     8     9    10     9     9     9    11    10     7\n",
      " [8,]    22    28    34    34    33    30    24    25    26    36    24    12\n",
      " [9,]    26    26    22    26    26    26    28    34    50    72    80    73\n",
      "[10,]    21    27    34    39    40    27    36    73    85   107   102   113\n",
      "[11,]    36    35    33    28    19    35    51    71    95   102   119   130\n",
      "[12,]    50    34    22    13    14    23    35    40    41    46    53    63\n",
      "[13,]    54    27    16    16    15    13    11    12    11    10    11     9\n",
      "[14,]    23    26    14    18    14    10    12    14    14    15    17    13\n",
      "[15,]    22    17    11     9    18    14    14    13    12    14    11    14\n",
      "[16,]    28    26    26    17    11    32    41    52    59    57    23    14\n",
      "[17,]    50    32    33    24    33    52    56    74    73    65    68    75\n",
      "[18,]    77    53    19     8    17    13    16    24    39    45    44    49\n",
      "[19,]    85    29    19    10     7     6     6     6     7     6     6     6\n",
      "[20,]    29     6     5     5     5     4     5     5     4     4     5     6\n",
      "[21,]     8     6     5     4     5     5     4     5     5     4     4     4\n",
      "[22,]     5     5     5     5     5     5     5     5     4     5     5     5\n",
      "[23,]     6     5     5     6     7     6     7     7     8     9     8     8\n",
      "[24,]     6     6     6     7     7     8     9     9     9    10     9    11\n",
      "[25,]     6     6     8     8     9     9     9    10    10    10    10    11\n",
      "[26,]     7     7     9     9    11     9    10     9    10    10     9    11\n",
      "[27,]     8     9    10    10    10    10    10    11    10    11    10    10\n",
      "[28,]     8    10    10    10    10    11    10    11    10    10    10    10\n",
      "[29,]    10    10    10    10    10    11     9    10    10     9     9    10\n",
      "[30,]    10     9    10    10    10    10    10    10     9     9     9     8\n",
      "[31,]    10    11     9    10    10    10    10     9     9     9     9     9\n",
      "[32,]    10    10    10    11    10     9     9    10     8     9    10     9\n",
      "[33,]     9    11    10    10    11     8     9    10     9    10     9    10\n",
      "[34,]    22    17    21    19    16    14    14    13    18    18    22    20\n",
      "[35,]    18    16    29    53    30    24    23    20    17    25    23    27\n",
      "[36,]    23    21    28    44    38    42    33    34    37    39    16    10\n",
      "[37,]    26    25    23    23    30    37    37    36    35    12    22    25\n",
      "[38,]    24    31    28    25    27    32    33    39    36    17    26    34\n",
      "[39,]    15    18    20    17    22    33    37    36    38    28    18    20\n",
      "[40,]    23    20    16    18    28    31    34    32    12    38    43    34\n",
      "[41,]    31    23    23    27    29    31    29    43    47    34    27    27\n",
      "[42,]    30    26    26    30    36    37    41    18    34    42    54    37\n",
      "[43,]    19    28    32    34    42    38    14    46    41    42    41    24\n",
      "[44,]    25    23    29    39    39    13    27    47    41    39    27    19\n",
      "[45,]    19    21    22    39    20    21    39    57    47    35    30    23\n",
      "[46,]    22    24    25    32    25    21    39    53    57    47    49    40\n",
      "[47,]    32    30    37    20    25    18    39    42    53    45    45    39\n",
      "[48,]    42    41    27    16    25    20    21    33    53    50    53    43\n",
      "[49,]    38    35    21    20    21    20    19    15    25    19    17    12\n",
      "[50,]    37    24    21    42    29    23    17    15    34    48    44    42\n",
      "[51,]    28    18    45    50    35    12    26    41    39    34    33    34\n",
      "[52,]    58    55    29    55    44    19    38    38    30    30    35    34\n",
      "[53,]    26    20    45    54    33    29    44    32    30    31    31    35\n",
      "[54,]    21    23    53    58    38    38    46    41    32    28    33    48\n",
      "[55,]    21    39    53    55    29    43    41    38    35    38    42    33\n",
      "[56,]    22    45    57    57    24    38    38    37    35    36    40    44\n",
      "[57,]    33    34    18    61    26    38    37    43    38    40    37    37\n",
      "[58,]    35    35    33    19    28    39    41    41    38    41    37    35\n",
      "[59,]    35    35    36    33    32    38    41    42    39    38    39    35\n",
      "[60,]    36    33    34    26    66    19    35    40    42    41    40    40\n",
      "[61,]    16    26    33    52    53    47    35    23    44    40    33    43\n",
      "[62,]     9    25    28    44    67    79    65    40    32    57    55    42\n",
      "[63,]    45    25    12    11    15    13     9     9    10    13    15    30\n",
      "[64,]    18    15    16    20    19    25    31    26    17    15    20    26\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   186   208   168   118    28    19    17     7     6     7     7     8\n",
      " [2,]    96    33    12    13     7     6     6     5     6     5     9     9\n",
      " [3,]    14     9     6     6     6     6     6     6     5     6     7     8\n",
      " [4,]     5     5     6     6     6     5     5     5     5     6     8     8\n",
      " [5,]     5     5     5     5     5     6     6     5     5     5     7     8\n",
      " [6,]     5     5     5     5     5     5     5     5     5     5     6     7\n",
      " [7,]     5     4     4     4     4     4     4     5     4     4     5     5\n",
      " [8,]     8     7     5     5     5     5     4     4     4     4     4     4\n",
      " [9,]    55    41    28    18    12    10     8     5     7     7     8     7\n",
      "[10,]   104    89    77    79    81    77    65    70    57    41    26    15\n",
      "[11,]   148   147   147   143   131   132   122    87    47    26    43    66\n",
      "[12,]    82    96   104   110   119   118   100    75    26    36    63    90\n",
      "[13,]    12    16    19    26    37    41    37    28    19    42    72    93\n",
      "[14,]    12    10     9     9    10    11    11    17    38    55    65    80\n",
      "[15,]    15    14    14    18    17    16    17    15    21    25    30    44\n",
      "[16,]    13    13     9     9    11    10    11    10    13    18    27    39\n",
      "[17,]    55    33    26    21    13     7     6     8    11    21    35    43\n",
      "[18,]    51    52    38    30    28    31    42    36    13    42    70    84\n",
      "[19,]     8    11    20    32    34    29    30    27    21    54    74    79\n",
      "[20,]     6     5     6     5     8    16    23    25    30    45    55    71\n",
      "[21,]     4     4     5     4     5     7     8    16    50    62    69    64\n",
      "[22,]     5     5     5     4     5     4     6    10    23    44    50    66\n",
      "[23,]     7     7     6     6     6     5     5     5    11    20    27    52\n",
      "[24,]    10     9     8     7     6     6     6     5     9    17    15    45\n",
      "[25,]     9     9    10     9     8     6     6     6     8     9    19    30\n",
      "[26,]    10     9     9     8     8     8     7     7     6    13    12    15\n",
      "[27,]     9     9     9     9     8     7     7     8    10    20    12    10\n",
      "[28,]    10     9     8     7     8     9     8     8     8    17    10    14\n",
      "[29,]    10     9     9     9     8     8     8     9    18    33    15    15\n",
      "[30,]     9     8     9     9     9     8     8    10    25    49    35    13\n",
      "[31,]     9    10     9     9     8     9    10    14    32    74    32    16\n",
      "[32,]     8     8     8     9     8     9     9    30    81    81    18    11\n",
      "[33,]     9    10    10    10    10    11    33    37    63    42    26    14\n",
      "[34,]    21    17    17     9    17    45    25    23    37    28    15    23\n",
      "[35,]    29    31    19    17    72    14    14    13    23    31    28    14\n",
      "[36,]    11    18    16    51    30    21    19    21    21    25    35    24\n",
      "[37,]    29    25    31    28    30    25    17    29    44    27    47    43\n",
      "[38,]    37    22    21    29    27    11    15    23    40    19    20    12\n",
      "[39,]    22    12    19    14    13    23    44    31    12    20    13    24\n",
      "[40,]    16    14    24    16    15    14    15    13    17    11    14    14\n",
      "[41,]    23    22    26    25    18    11    14    20    17    11    15    41\n",
      "[42,]    25    30    22    13    12    13    18    29    24    20    19    30\n",
      "[43,]    17    22    11    28    26    26    32    34    27    12    13    17\n",
      "[44,]    16    18    32    27    27    27    26    29    24    23    23    20\n",
      "[45,]    27    32    34    32    25    26    28    20    13    17    21    20\n",
      "[46,]    30    36    32    32    33    32    34    10    20    34    43    23\n",
      "[47,]    32    32    30    31    27    33    27    18    24    24    12    12\n",
      "[48,]    29    23    26    19    21    22    12    30    20    15    10    10\n",
      "[49,]    11    22    33    15    16    49    43    34    37    15    13    11\n",
      "[50,]    31    39    29    15    63    67    29    15    25    14    14    19\n",
      "[51,]    33    47    47    39    44    57    28    27    26    19    16    16\n",
      "[52,]    29    60    52    62    54    45    34    35    25    19    17    16\n",
      "[53,]    53    68    64    48    42    42    47    38    24    18    19    21\n",
      "[54,]    73    63    56    42    37    36    49    37    21    18    18    31\n",
      "[55,]    45    46    39    32    37    37    53    39    21    22    23    25\n",
      "[56,]    34    30    36    39    37    42    51    43    17    14    18    13\n",
      "[57,]    34    35    39    38    40    47    46    22    12    11    14     8\n",
      "[58,]    35    40    38    42    51    61    36    15    13    11     7     8\n",
      "[59,]    40    40    42    47    57    37    27    14     9     7     6    11\n",
      "[60,]    41    38    49    48    72    41    16     8     6     6     9    12\n",
      "[61,]    47    46    35    25    22    22    16     9     7     7    10    14\n",
      "[62,]    29    20    23    23    22    20    12     6     5     6    13    14\n",
      "[63,]    23    21    25    21    20    17    10     7     5     7    12    11\n",
      "[64,]    30    24    22    22    21    15     8     5     4     5    12    11\n",
      "      [,62] [,63] [,64]\n",
      " [1,]    10    11    11\n",
      " [2,]    10    12    14\n",
      " [3,]     9    11    13\n",
      " [4,]     8    11    11\n",
      " [5,]     9     9    11\n",
      " [6,]     7     9    10\n",
      " [7,]     5     8     8\n",
      " [8,]     4     4     5\n",
      " [9,]     5     5     5\n",
      "[10,]    12     7    22\n",
      "[11,]    94   128   164\n",
      "[12,]   123   179   204\n",
      "[13,]   130   163   169\n",
      "[14,]    96   118   152\n",
      "[15,]    58    74   100\n",
      "[16,]    49    53    66\n",
      "[17,]    54    57    54\n",
      "[18,]    86    82    75\n",
      "[19,]    85    88    87\n",
      "[20,]    70    65    69\n",
      "[21,]    58    51    59\n",
      "[22,]    81    67    55\n",
      "[23,]    77    78    50\n",
      "[24,]    46    45    40\n",
      "[25,]    28    20    23\n",
      "[26,]    15    13     8\n",
      "[27,]    12     8     6\n",
      "[28,]    13    12     8\n",
      "[29,]    11    15    16\n",
      "[30,]    10    16    21\n",
      "[31,]     8    12    14\n",
      "[32,]    11    27    17\n",
      "[33,]    25    34    22\n",
      "[34,]    25    30    35\n",
      "[35,]    22    46    63\n",
      "[36,]    26    53    67\n",
      "[37,]    36    27    25\n",
      "[38,]    16    31    28\n",
      "[39,]    21    23    18\n",
      "[40,]    29    38    28\n",
      "[41,]    75    89    73\n",
      "[42,]    70    92    73\n",
      "[43,]    14    10    10\n",
      "[44,]    13    10    14\n",
      "[45,]    12    10    15\n",
      "[46,]    10     9    15\n",
      "[47,]    10    12    17\n",
      "[48,]    12    13    16\n",
      "[49,]    11    14    14\n",
      "[50,]    22    16    18\n",
      "[51,]    25    50    56\n",
      "[52,]    24    35    64\n",
      "[53,]    32    37    41\n",
      "[54,]    35    24    34\n",
      "[55,]    11    14    34\n",
      "[56,]    13    24     9\n",
      "[57,]     9    11    10\n",
      "[58,]    11     9    12\n",
      "[59,]    13    12    15\n",
      "[60,]    13    16    17\n",
      "[61,]    14    17    17\n",
      "[62,]    15    16    18\n",
      "[63,]    11    22    23\n",
      "[64,]    10     9    23\n",
      "\n",
      ", , 13, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   10   12   12   12   11   11   12   12   12    13    11    11    11\n",
      " [2,]   11   11   12   11   12   13   11   12   11    12    11    13    12\n",
      " [3,]   11   13   13   13   13   12   12   11   11    13    12    12    11\n",
      " [4,]   12   10   11   13   12   11   11   12   12    13    11    13    13\n",
      " [5,]   12   11   12   10   11   12   12   11   11    11    13    12    11\n",
      " [6,]   12   11   12   11   11   12   11   12   11    12    10    12    13\n",
      " [7,]   12   12   13   11   13   12   12   12   11    13    11    11    11\n",
      " [8,]   13   12   11   11   11   12   11   13   12    13    12    12    11\n",
      " [9,]   11   13   12   12   12   11   12   13   12    11    11    11    11\n",
      "[10,]   13   13   12   13   11   13   11   12   11    11    11    11     9\n",
      "[11,]   12   12   12   13   11   10   10   11   10     9     8     7     7\n",
      "[12,]   12   10   12   11   10   10   11   10    8     7     5     4     4\n",
      "[13,]   11   10   12   12    9    9    8    8    6     5     5     4     5\n",
      "[14,]   11   11   12   11    8    7    5    5    5     4     4     6     6\n",
      "[15,]   12   11   10    8    7    5    5    4    5     6     8    31    59\n",
      "[16,]   10    9    7    5    5    5    5    6   11    42    74    99   121\n",
      "[17,]    8    8    6    5    5    6   10   40   72   101   114   138   128\n",
      "[18,]    6    6    5    5    5   38   73  102  133   144   157   125   102\n",
      "[19,]    5    4    6   14   64  102  137  142  162   156   138    79   108\n",
      "[20,]    6    6   25   82  124  145  166  157  150   130    52    79    77\n",
      "[21,]    7   25   96  139  155  162  141  112   75    50    66    57    86\n",
      "[22,]   19   94  154  158  150  139  116   55   21    38    53    73    59\n",
      "[23,]   86  150  155  154  134  121   36   12   24    59    55    63    88\n",
      "[24,]  141  154  145  100   81   76   24   33   38    53    52    23    66\n",
      "[25,]  161  149  112   63   44   23   36   28   87   103    46    41    19\n",
      "[26,]  152  149   73   57   22   39   75   90   83    56    58    17    21\n",
      "[27,]  152  133  104   63   45   39   55   94  102    59    32    24    17\n",
      "[28,]  148  126  123   52   27   46   54   80   87    58    26    22    15\n",
      "[29,]  147  131  104  106   44   70   81   83   62    33    15    14    11\n",
      "[30,]  143  131  121  104   73   76   81   61   53    31    21    14    10\n",
      "[31,]  141  130  108   90   92   89   75   65   53    36    22    11    10\n",
      "[32,]  135  123  104  113   95  100   87   65   56    38    21    10    10\n",
      "[33,]  132  110   98  120  104   81   71   55   46    37    17    11    10\n",
      "[34,]  133  126  102  106   95   76   68   63   51    39    19    11    10\n",
      "[35,]  134  120   89   87   88   75   78   73   60    47    29    12    10\n",
      "[36,]  130  122   82   83   84   88   89   81   70    57    33    14    14\n",
      "[37,]  122  122   87   87   91   90   93   78   67    46    28    13    14\n",
      "[38,]  106  125  102   78   73   72   86   85   65    47    20    22    15\n",
      "[39,]   84  121  104   71   93   71   90   86   63    41    26    12    14\n",
      "[40,]   73  123  121   92   48   47   83   69   68    48    33    27    22\n",
      "[41,]   64  107  128  113   71   18   17   28   47    41    33    34    18\n",
      "[42,]   49   90  107   80   24   23   14   16   15    21    34    43    18\n",
      "[43,]   38   63  115   96   23   15   14   13   15    27    44    43    23\n",
      "[44,]   23   44  106  108   89   17   13   16   23    35    41    33    24\n",
      "[45,]   15   23   79  106   93   37   15   29   32    52    60    41    31\n",
      "[46,]   16   19   35  100   92   64   32   32   53    66    75    53    34\n",
      "[47,]   53   17   28   87   86   71   56   59   69    40    74    64    39\n",
      "[48,]   87   23   26   52   77   68   62   62   58    48    40    58    44\n",
      "[49,]   95   50   31   43   69   60   64   55   62    65    53    34    22\n",
      "[50,]  104   70   18   38   47   58   55   59   57    59    65    58    56\n",
      "[51,]  116   87   15   32   34   50   47   46   52    51    49    44    46\n",
      "[52,]  132   90   26   19   20   27   39   38   42    35    36    35    37\n",
      "[53,]  151   89   48   34   31   26   28   26   21    25    20    21    19\n",
      "[54,]  154  103   72   67   54   36   28   28   21    16    23    27    30\n",
      "[55,]  154  103   79   68   70   50   44   45   28    32    38    42    37\n",
      "[56,]  159  103   85   70   71   66   56   53   49    45    46    49    49\n",
      "[57,]  153  100   72   59   68   65   61   60   68    57    49    49    54\n",
      "[58,]  135   98   59   46   56   60   64   68   70    65    56    52    51\n",
      "[59,]  119   90   54   25   36   50   57   61   66    56    48    44    42\n",
      "[60,]   97   82   45   12   13   25   49   54   45    32    37    31    29\n",
      "[61,]   84   74   36   11    9    9   15   22   33    22    19    19    20\n",
      "[62,]   76   52   26   10   10    9    9   10   11    13    13    13    21\n",
      "[63,]   63   47   22   10    9    8    8   10    9     9     8    10    11\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    11    11    11    11     9    10     8     9     8    17    44    78\n",
      " [2,]    12    11    11    11    12    10     9     8     8     8     8     7\n",
      " [3,]    12    10    11    11    10     9     8     9     7     8     6     7\n",
      " [4,]    13    11    13    11    10    10    10     8     7     7     6     6\n",
      " [5,]    12    11    11    11    11    10     8     8     7     6     6     7\n",
      " [6,]    12    11    12    11    10    10     8     8     6     7     6     6\n",
      " [7,]    13    11    11    11    10     9     9     7     7     6     5     5\n",
      " [8,]    12    12    11    10    10     8     8     7     6     6     5     5\n",
      " [9,]    11     9     9     8     7     7     6     5     5     5     5     5\n",
      "[10,]     8     7     6     5     4     5     4     4     5     4     4     5\n",
      "[11,]     6     6     5     4     5     4     4     5     7     6    14    25\n",
      "[12,]     5     4     4     5     7     5    20    43    51    68    68    67\n",
      "[13,]     5     6     7    26    55    78    90   104    97   106   103    83\n",
      "[14,]    23    36    76   101   127   135   133   118    97    88    65    49\n",
      "[15,]    90   113   121   146   137   127   114    99    73    47    31    21\n",
      "[16,]   124   149   140   128   123   111    98    67    34    18    17    17\n",
      "[17,]   122   104   114   115   107    96    77    30    18    17    16    17\n",
      "[18,]   118    70    57    93    82    84    39    15    19    23    19    31\n",
      "[19,]    95    44    34    78    70    27    13    16    24    31    47    47\n",
      "[20,]    90    78    70    59    40    25    17    22    41    39    56    69\n",
      "[21,]   102    82    70    54    35    17    15    47    57    59    73    77\n",
      "[22,]    84    60    49    41    19    10    28    67    75    75    69    73\n",
      "[23,]    65    47    39    19    11     8     7    77    66    57    51    42\n",
      "[24,]    34    33    17     8     7     6    11    80    58    43    28    25\n",
      "[25,]    24    18     7     7     7     6    19    65    47    30    27    34\n",
      "[26,]    18    11     9     9     8     9    19    46    38    31    43    74\n",
      "[27,]    14     8     9     7     8    11    14    38    36    27    37    43\n",
      "[28,]     9     9     8     7     9     9     9    26    39    31    26    25\n",
      "[29,]    10     8     9    10    11     8     8    33    49    43    36    28\n",
      "[30,]     9     9     9     9     8     7     9    37    52    53    41    36\n",
      "[31,]     9     9     9    10     7     8     8     9    14    18    22    27\n",
      "[32,]    10    10     9     8     9     8     8     8     8     9     9     9\n",
      "[33,]    11    10     9     9    10     9     8    10    10    11     9    11\n",
      "[34,]    11     9    10    12    10    17    10     9    19    10    13    15\n",
      "[35,]    11    11     9    11    24    11    11    17    11    13    17    45\n",
      "[36,]    13    10    10    11    10    14     9    10    13    25    56    70\n",
      "[37,]    12    12    13    10    12    11    12    13    20    39    65    56\n",
      "[38,]    13    10    11    13    11    11    11    19    38    54    62    32\n",
      "[39,]    15    12    13    12    13    11    15    28    56    54    62    49\n",
      "[40,]    13    12    13    11    14    14    16    43    39    45    46    47\n",
      "[41,]    14    15    24    12    12    14    26    48    45    37    41    44\n",
      "[42,]    16    25    20    12    15    13    35    42    44    40    43    44\n",
      "[43,]    18    21    14    12    14    14    34    44    41    41    35    37\n",
      "[44,]    15    14    13    14    13    18    35    44    40    38    36    40\n",
      "[45,]    14    14    13    13    12    15    35    37    39    39    43    40\n",
      "[46,]    15    15    13    16    13    15    33    43    41    40    47    37\n",
      "[47,]    20    15    12    15    15    14    29    38    40    45    45    34\n",
      "[48,]    20    13    15    16    15    20    40    36    38    29    29    37\n",
      "[49,]    27    15    15    17    17    21    35    37    42    44    47    48\n",
      "[50,]    30    18    19    19    19    21    39    33    37    40    44    38\n",
      "[51,]    39    18    21    17    16    20    42    50    26    36    45    40\n",
      "[52,]    31    23    27    27    19    20    24    26    26    26    34    41\n",
      "[53,]    21    19    23    35    34    20    21    19    17    21    28    31\n",
      "[54,]    20    17    14    16    41    33    26    19    18    20    15    20\n",
      "[55,]    28    23    16    19    16    16    26    25    16    16    16    33\n",
      "[56,]    38    26    20    20    17    13    16    16    14    15    14    16\n",
      "[57,]    43    32    25    19    20    18    16    12    15    14    14    23\n",
      "[58,]    47    39    28    20    18    20    17    13    16    12    26    20\n",
      "[59,]    38    39    28    21    17    15    14    16    15    14    15    16\n",
      "[60,]    28    25    24    26    26    21    20    16    13    14    14    13\n",
      "[61,]    24    22    26    36    51    54    59    58    43    21    11    11\n",
      "[62,]    32    34    37    38    47    57    72    75    75    75    55    27\n",
      "[63,]    13    18    27    38    33    43    56    77    93    87    84    85\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]    98   119   130   148   147   150   144   153   155   156   153   161\n",
      " [2,]    19    39    69    96   111   123   130   135   135   137   139   138\n",
      " [3,]     9     7     8     8    24    44    81   106   128   144   146   155\n",
      " [4,]     7     6     6     7     8     7     8     9     8     9    15    20\n",
      " [5,]     6     6     6     6     6     6     6     6     6     7     7     8\n",
      " [6,]     6     5     7     6     6     6     6     6     5     6     6     5\n",
      " [7,]     6     6     5     6     6     6     6     6     6     5     6     7\n",
      " [8,]     6     5     5     7     7    11     7     6     8     8    10    15\n",
      " [9,]     5     5     4     5     8     7     9     8    17    32    35    30\n",
      "[10,]     5     6     6     8    11    15    13    44    51    43    30    21\n",
      "[11,]    36    38    42    30    22    18    52    76    77    63    31    29\n",
      "[12,]    68    59    52    46    43    43    67    83    79    38    81    77\n",
      "[13,]    73    55    32    22    21    21    38    47    18    40    52    61\n",
      "[14,]    28    20    18    20    18    15    21    17    16    16    27    21\n",
      "[15,]    18    22    23    16    17    23    22    16    21    23    25    22\n",
      "[16,]    19    28    30    27    16    21    23    19    27    35    44    44\n",
      "[17,]    22    21    23    26    29    30    24    28    38    48    52    57\n",
      "[18,]    27    29    35    47    59    55    54    55    61    75    88    80\n",
      "[19,]    52    62    59    62    73    91    94    77    73    77    96   117\n",
      "[20,]    63    74    82    88    95    88    77    89    93    87    94   130\n",
      "[21,]    82    95    88    81    68    44    74    82    92    79    80    38\n",
      "[22,]    84    72    84    99    93    91    89    82    77    61    57    12\n",
      "[23,]    41    46    44    40    71    62    47    54    47    44    20     7\n",
      "[24,]    25    26    29    32    55    60    39    44    44    15    10     6\n",
      "[25,]    33    23    23    27    30    23    56    82     8     8     6     7\n",
      "[26,]    62    40    30    40    57    99    85    10     8     6     7     6\n",
      "[27,]    62    53    30    57   111    60    24    11     7     7     7     8\n",
      "[28,]    19    26    32    75    25    11     7     7     7     8     8     8\n",
      "[29,]    29    38    45    11     8     7     8     8     7     7     7     9\n",
      "[30,]    44    64     9    11     8     7     8     8     9    10     9     9\n",
      "[31,]    66     8    19     7     7     7     9     8    10     9    10    10\n",
      "[32,]    12    20    10     9     8    10     9    10    10    10    10     9\n",
      "[33,]    16    12     8    10     9     9     9    10    10    10     9     9\n",
      "[34,]    17    25    23    19    16    19    12    20    21    15    17    17\n",
      "[35,]    79    45    49    41    29    25    16    25    22    24    17    31\n",
      "[36,]    59    58    53    33    29    33    29    27    25    22    33    39\n",
      "[37,]    48    48    44    33    32    40    27    25    14    19    24    32\n",
      "[38,]    29    41    38    31    32    17    17    17    15    13    14    17\n",
      "[39,]    34    35    36    37    28    18    18    16    18    17    15    14\n",
      "[40,]    31    36    35    33    26    23    22    20    17    21    20    23\n",
      "[41,]    46    44    37    39    37    29    25    31    16    21    29    28\n",
      "[42,]    45    39    42    37    46    37    24    24    22    29    25    31\n",
      "[43,]    39    36    37    34    20    18    13    29    28    32    37    23\n",
      "[44,]    39    38    30    27    13    13    31    31    23    24    20    17\n",
      "[45,]    36    37    37    30    24    22    19    29    21    18    23    19\n",
      "[46,]    41    36    35    31    25    18    16    28    26    20    17    21\n",
      "[47,]    36    33    24    25    20    26    25    31    29    22    30    32\n",
      "[48,]    35    24    27    25    28    35    40    38    38    29    29    35\n",
      "[49,]    37    27    33    27    29    41    34    36    33    29    37    37\n",
      "[50,]    31    29    26    31    43    32    31    35    29    38    34    34\n",
      "[51,]    36    34    30    36    37    39    40    38    40    41    39    36\n",
      "[52,]    43    41    35    32    37    43    42    39    41    36    28    27\n",
      "[53,]    28    40    40    37    35    21    17    17    21    29    17    22\n",
      "[54,]    27    15    20    21    26    30    30    32    28    12    58    39\n",
      "[55,]    28    36    34    38    35    35    35    36    38    37    19    33\n",
      "[56,]    20    27    29    31    35    36    37    36    37    36    35    21\n",
      "[57,]    14    15    21    29    34    34    33    37    35    38    36    36\n",
      "[58,]    43    21    17    15    24    30    32    33    37    33    35    36\n",
      "[59,]    40    63    39    21    11    24    30    33    35    36    37    37\n",
      "[60,]    13    26    69    72    46    23    12    23    34    34    37    36\n",
      "[61,]     9    11    11    21    77    88    60    20    17    18    22    20\n",
      "[62,]    20    11    10    10     9     7    49    62    35    28    10    10\n",
      "[63,]    79    41    21    11     9    15    26     7    10    36    51    49\n",
      "[64,]     0    44    51    62    44    10     8     9    13    20    26    19\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   147   149   158   165   158   138   157   154   155   152   159   180\n",
      " [2,]   134   139   147   142   142   147   149   154   158   165   176   172\n",
      " [3,]   152   155   159   156   159   161   159   150   111    50    25    16\n",
      " [4,]    34    39    50    35    17    15    12    11    12    10     7     6\n",
      " [5,]     8     8    10     9     8     6     6     7     7     6     6     6\n",
      " [6,]     6     7     6     6     6     6     6     6     6     6     4     5\n",
      " [7,]     7     9     8     7     8     9     9    10     9    11    10     6\n",
      " [8,]    23    27    33    33    32    29    24    26    25    35    23    11\n",
      " [9,]    27    27    22    27    26    26    27    36    49    69    80    75\n",
      "[10,]    22    27    34    38    38    26    36    71    85   108   102   113\n",
      "[11,]    36    34    33    28    19    34    50    71    96   101   119   130\n",
      "[12,]    48    32    21    13    15    22    35    39    42    46    53    63\n",
      "[13,]    52    26    16    16    16    13    11    11    10    10    10     9\n",
      "[14,]    21    23    15    17    14     9    11    14    14    15    16    13\n",
      "[15,]    22    18    13    10    19    14    14    14    12    14    11    14\n",
      "[16,]    27    25    24    16    12    34    44    52    61    59    23    14\n",
      "[17,]    50    31    32    21    35    56    58    75    76    65    68    75\n",
      "[18,]    77    56    17     9    17    13    16    23    37    42    44    48\n",
      "[19,]   102    32    20    10     8     6     6     6     7     7     6     6\n",
      "[20,]    37     8     5     5     5     5     4     5     5     4     5     5\n",
      "[21,]     8     6     5     5     5     5     4     4     5     4     4     4\n",
      "[22,]     8     5     5     4     5     5     4     5     5     5     5     6\n",
      "[23,]     5     5     4     6     6     7     6     7     7     8     9     9\n",
      "[24,]     5     5     6     6     7     7     9     8    10     9    10    11\n",
      "[25,]     6     7     7     7     9     8     9    10    10    10    10    10\n",
      "[26,]     7     9     9    10    10    10    11    10    12    10     9    10\n",
      "[27,]     8    11    10     9    11    11    10    11    10    10    11    10\n",
      "[28,]    10     9     9    11     8    10    11    10    10    10    11    10\n",
      "[29,]     9    10     9    12     9    11    10     9    11    10    10    10\n",
      "[30,]     9    10    10    10    10    11    10     9    11    10    10     9\n",
      "[31,]     9    10     8     9    10     9     9    10    10     9     9     8\n",
      "[32,]    10     9     9    10    10    10    10    10    11    10    10     9\n",
      "[33,]    12    11    10     9    10     9     9     9    10    10    12     9\n",
      "[34,]    22    18    19    16    16    16    13    12    14    18    21    22\n",
      "[35,]    20    16    29    51    28    25    22    20    19    22    23    26\n",
      "[36,]    22    24    30    41    40    41    29    35    38    43    14    12\n",
      "[37,]    28    24    22    26    32    36    37    35    38    14    22    26\n",
      "[38,]    24    31    29    26    25    29    33    37    38    16    23    33\n",
      "[39,]    17    19    19    16    22    33    37    35    37    34    17    18\n",
      "[40,]    21    16    16    16    30    33    32    32    11    36    41    34\n",
      "[41,]    33    26    23    31    33    30    30    44    51    36    24    26\n",
      "[42,]    34    28    19    28    37    40    39    24    31    37    55    41\n",
      "[43,]    20    28    32    37    40    38    15    40    39    41    37    22\n",
      "[44,]    28    23    27    39    40    12    27    46    43    38    26    19\n",
      "[45,]    18    21    21    41    19    19    40    54    54    43    29    23\n",
      "[46,]    24    26    29    28    24    23    39    55    58    45    47    35\n",
      "[47,]    34    33    36    20    26    22    39    40    49    45    44    37\n",
      "[48,]    41    41    26    16    25    19    28    32    48    50    50    40\n",
      "[49,]    39    34    21    19    23    22    19    16    22    18    17    11\n",
      "[50,]    35    21    20    40    29    22    19    14    35    46    44    37\n",
      "[51,]    31    20    45    50    37    12    28    42    38    34    37    37\n",
      "[52,]    61    52    32    57    39    20    35    40    33    33    31    33\n",
      "[53,]    23    20    46    57    36    32    45    33    30    29    33    35\n",
      "[54,]    21    25    54    54    36    38    44    43    34    30    32    50\n",
      "[55,]    21    36    55    54    28    42    41    39    34    38    43    35\n",
      "[56,]    21    45    57    56    25    40    38    38    37    36    43    43\n",
      "[57,]    34    37    17    59    26    39    39    44    38    38    37    38\n",
      "[58,]    33    34    35    22    27    40    42    41    38    39    37    36\n",
      "[59,]    37    37    36    33    31    37    40    39    40    40    37    36\n",
      "[60,]    36    36    35    26    66    20    35    39    42    42    40    40\n",
      "[61,]    15    26    32    54    52    49    33    21    45    38    30    40\n",
      "[62,]     9    20    28    45    68    77    66    39    33    55    54    44\n",
      "[63,]    47    23    13    11    15    14     9     9    12    10    15    30\n",
      "[64,]    19    16    16    23    21    27    31    27    15    13    21    27\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   186   206   168   118    26    20    16     7     6     6     7     9\n",
      " [2,]    95    33    14    14     8     7     6     6     7     6     7     9\n",
      " [3,]    14    10     6     5     6     7     6     6     5     6     7     9\n",
      " [4,]     6     6     5     5     5     5     6     6     5     6     6     8\n",
      " [5,]     5     5     5     5     4     5     5     5     6     7     7     8\n",
      " [6,]     5     5     5     5     4     4     6     5     5     5     6     6\n",
      " [7,]     5     4     4     4     3     4     4     4     4     4     5     5\n",
      " [8,]     7     7     6     5     5     4     4     4     5     4     4     4\n",
      " [9,]    57    42    28    17    12     9     6     6     5     8     8     8\n",
      "[10,]   104    90    79    79    82    78    65    70    55    40    25    14\n",
      "[11,]   149   148   148   143   131   131   120    85    45    26    43    67\n",
      "[12,]    82    97   105   109   119   119   100    75    26    36    65    90\n",
      "[13,]    11    16    19    26    36    41    38    26    20    44    74    94\n",
      "[14,]    11    10    10     9    10    10    11    16    39    56    65    81\n",
      "[15,]    15    15    14    18    17    16    16    15    21    25    31    44\n",
      "[16,]    14    13    10    10    10    10    11    10    13    19    27    39\n",
      "[17,]    54    33    26    22    12     8     7     8    12    23    36    44\n",
      "[18,]    49    52    38    29    27    30    41    37    12    40    67    86\n",
      "[19,]     7    10    20    32    34    29    29    26    20    55    75    79\n",
      "[20,]     5     5     5     6     8    16    23    25    31    44    54    71\n",
      "[21,]     5     4     5     4     6     6     7    15    51    63    71    64\n",
      "[22,]     5     5     4     5     4     5     6    10    24    44    47    65\n",
      "[23,]     8     7     7     6     5     5     5     5    11    20    26    51\n",
      "[24,]    10     8     8     7     7     6     6     6    10    17    16    43\n",
      "[25,]     9     8     8     8     7     7     7     6     8     8    19    30\n",
      "[26,]    10     9    10     7     8     8     7     6     7    14    15    14\n",
      "[27,]     9     9     8     8     9     8     7     7     9    19    12     9\n",
      "[28,]     9    10     9     9     8     7     8     8     9    16    11    16\n",
      "[29,]    10     9     9    10     8     8     9     8    18    28    15    16\n",
      "[30,]     8     8     9     9     9     8     8    10    26    48    32    16\n",
      "[31,]    10    10     8     8    10     8     8    13    32    72    31    15\n",
      "[32,]    10     9     9     8     9     7    10    27    77    79    18    11\n",
      "[33,]    10     9    10    10    10    10    33    41    68    48    24    11\n",
      "[34,]    19    17    16    10    16    34    25    25    41    30    15    24\n",
      "[35,]    28    31    14    16    68    12    15    14    25    32    24    11\n",
      "[36,]    11    18    17    52    29    20    21    22    20    21    28    17\n",
      "[37,]    27    29    28    30    29    27    18    30    45    28    49    45\n",
      "[38,]    36    18    19    28    25    13    13    23    43    24    21    13\n",
      "[39,]    24    10    15    16    13    22    47    34    14    22    12    23\n",
      "[40,]    21    19    28    16    16    13    14    11    16    10    13    15\n",
      "[41,]    18    21    30    25    21    13    13    19    18    11    12    40\n",
      "[42,]    22    34    26    10    14    14    19    28    23    23    16    26\n",
      "[43,]    17    25    11    26    27    26    29    29    29    14    12    16\n",
      "[44,]    18    20    34    28    27    27    27    26    26    22    21    21\n",
      "[45,]    27    32    32    29    25    28    27    19    12    15    24    20\n",
      "[46,]    31    37    33    32    32    34    31    11    20    34    42    23\n",
      "[47,]    33    31    30    31    28    31    25    19    27    27    14    16\n",
      "[48,]    29    26    27    22    20    23    12    29    18    15    12    11\n",
      "[49,]    10    19    33    13    16    53    42    32    35    17    11    11\n",
      "[50,]    31    35    29    16    70    68    26    15    27    16    14    17\n",
      "[51,]    29    44    46    39    45    55    27    27    27    19    19    18\n",
      "[52,]    32    62    51    58    53    45    35    38    23    17    16    16\n",
      "[53,]    52    66    63    46    40    39    44    35    26    20    20    20\n",
      "[54,]    73    63    55    43    38    38    49    35    22    17    17    31\n",
      "[55,]    46    45    40    33    37    37    54    38    23    21    23    24\n",
      "[56,]    34    30    34    37    36    42    52    44    18    16    18    11\n",
      "[57,]    35    36    37    37    40    49    47    22    12    12    17     9\n",
      "[58,]    37    42    39    42    50    60    36    16    14    13     7     8\n",
      "[59,]    40    40    41    47    55    36    27    13    10     7     6    12\n",
      "[60,]    41    38    49    47    73    41    14     7     7     7     9    11\n",
      "[61,]    48    46    35    24    22    21    17     9     7     7    10    14\n",
      "[62,]    29    18    23    23    23    18    11     6     5     7    12    13\n",
      "[63,]    22    21    23    21    20    17    11     8     5     7    13    10\n",
      "[64,]    29    23    23    22    20    16     8     5     4     6    12    11\n",
      "      [,62] [,63] [,64]\n",
      " [1,]     9    11    14\n",
      " [2,]    10    10    12\n",
      " [3,]    10    11    14\n",
      " [4,]     9    11    12\n",
      " [5,]     9     9    10\n",
      " [6,]     6     8    10\n",
      " [7,]     6     7     8\n",
      " [8,]     4     4     5\n",
      " [9,]     6     5     4\n",
      "[10,]    12     9    23\n",
      "[11,]    95   129   167\n",
      "[12,]   124   181   204\n",
      "[13,]   133   166   171\n",
      "[14,]    97   119   153\n",
      "[15,]    59    73   101\n",
      "[16,]    51    53    65\n",
      "[17,]    54    57    53\n",
      "[18,]    87    83    75\n",
      "[19,]    84    87    87\n",
      "[20,]    70    66    71\n",
      "[21,]    60    50    62\n",
      "[22,]    81    68    52\n",
      "[23,]    76    78    49\n",
      "[24,]    47    47    40\n",
      "[25,]    28    19    21\n",
      "[26,]    15    13     7\n",
      "[27,]    13     8     6\n",
      "[28,]    13    13     7\n",
      "[29,]    13    15    17\n",
      "[30,]    10    18    22\n",
      "[31,]     8    14    15\n",
      "[32,]    10    27    21\n",
      "[33,]    30    33    20\n",
      "[34,]    23    27    34\n",
      "[35,]    21    44    54\n",
      "[36,]    25    55    68\n",
      "[37,]    35    25    29\n",
      "[38,]    15    32    29\n",
      "[39,]    25    23    24\n",
      "[40,]    22    26    22\n",
      "[41,]    70    91    75\n",
      "[42,]    67    91    74\n",
      "[43,]    13     9     9\n",
      "[44,]    10    11    13\n",
      "[45,]    11    10    14\n",
      "[46,]     9     9    14\n",
      "[47,]    11    10    16\n",
      "[48,]    11    14    15\n",
      "[49,]    13    13    15\n",
      "[50,]    23    17    18\n",
      "[51,]    26    48    58\n",
      "[52,]    24    37    64\n",
      "[53,]    32    38    41\n",
      "[54,]    35    24    34\n",
      "[55,]    10    15    34\n",
      "[56,]    15    24     9\n",
      "[57,]     8    13    11\n",
      "[58,]    11     9    12\n",
      "[59,]    13    13    16\n",
      "[60,]    13    15    17\n",
      "[61,]    15    16    18\n",
      "[62,]    17    16    18\n",
      "[63,]    11    21    24\n",
      "[64,]     9     9    22\n",
      "\n",
      ", , 14, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   10   11   11   12   10   12   11   10   10    12    11    10    11\n",
      " [2,]   11   12   11   11   11   11   10   12   12    11    11    12    12\n",
      " [3,]   11   11   10   11   12   11   12   12   11    11    11    12    11\n",
      " [4,]   11   11   11   13   13   11   10   13   12    13    12    11     9\n",
      " [5,]   11   11   10   11   12   12   12   11   11    12    10    11    12\n",
      " [6,]   11   12   13   12   11   12   11   12   12    12    10    11    11\n",
      " [7,]   12   13   11   12   10   10   11   11   12    11    11    13    11\n",
      " [8,]   11   12   11   12   11   11   10   12   11    10    11    10    10\n",
      " [9,]   11   11   11   11   12   13   12   11   11    10    10    11    11\n",
      "[10,]   11   11   10   11   12   10   11   12   11    11    10     9     9\n",
      "[11,]   12   11   13   12   11   12   10   10    9     9     8     7     7\n",
      "[12,]   12   11   12   11   11   10   10   10    8     5     5     4     5\n",
      "[13,]   10   10   11   10    9    8    8    7    6     5     5     5     4\n",
      "[14,]   11   12   12   10    7    5    5    5    4     4     5     7     6\n",
      "[15,]   13   10    9    8    6    5    5    5    6     7     8    29    55\n",
      "[16,]   11    8    6    6    6    5    5    6   10    40    71    95   119\n",
      "[17,]   10    7    5    5    5    6   10   37   68    97   112   133   125\n",
      "[18,]    6    5    5    5    5   34   71   99  128   138   151   121   101\n",
      "[19,]    5    5    7   14   62   98  131  135  155   150   133    78   103\n",
      "[20,]    5    6   24   79  121  141  159  151  143   126    50    79    76\n",
      "[21,]    7   23   95  134  149  156  136  108   71    50    63    56    83\n",
      "[22,]   18   91  150  154  148  136  114   53   22    37    51    71    58\n",
      "[23,]   82  146  148  152  130  117   35   11   23    59    54    61    88\n",
      "[24,]  134  150  143   97   80   77   26   32   39    51    53    23    67\n",
      "[25,]  154  145  109   62   41   23   34   28   85    97    45    37    19\n",
      "[26,]  147  143   70   56   22   37   75   85   80    55    58    17    21\n",
      "[27,]  147  130  100   62   43   39   54   94  102    58    30    22    17\n",
      "[28,]  143  122  119   50   29   43   52   76   84    57    24    23    15\n",
      "[29,]  142  126   98  101   42   69   77   80   59    30    15    13    12\n",
      "[30,]  138  126  115  101   74   77   80   58   50    31    21    14     9\n",
      "[31,]  137  124  106   88   89   90   74   65   53    35    23    11     8\n",
      "[32,]  133  119   99  108   95   97   87   63   54    38    20    11    11\n",
      "[33,]  129  107   93  114   99   79   69   54   44    34    18     9    10\n",
      "[34,]  129  121   99  105   93   74   67   63   50    38    20    12    11\n",
      "[35,]  126  119   85   82   83   74   76   69   58    44    27    13    10\n",
      "[36,]  125  120   81   82   82   86   86   78   68    54    32    11    12\n",
      "[37,]  116  120   87   85   89   87   92   76   66    46    24    12    14\n",
      "[38,]  105  121   97   76   71   67   86   85   64    48    19    17    14\n",
      "[39,]   81  118  104   68   86   70   86   84   62    40    24    13    16\n",
      "[40,]   72  120  117   88   51   44   81   67   65    47    33    25    20\n",
      "[41,]   60  108  125  112   69   22   19   26   45    34    32    35    16\n",
      "[42,]   50   82  102   76   21   18   14   15   16    22    32    35    19\n",
      "[43,]   39   63  113   92   19   14   13   14   16    24    40    44    24\n",
      "[44,]   23   45  104  102   85   11   11   18   19    37    38    30    22\n",
      "[45,]   14   22   76  104   88   37   15   27   38    50    61    40    30\n",
      "[46,]   16   15   37   96   85   58   33   27   54    60    67    51    36\n",
      "[47,]   52   17   29   79   84   73   55   62   67    36    70    66    39\n",
      "[48,]   81   22   23   51   74   65   61   62   58    43    40    61    46\n",
      "[49,]   93   50   27   40   65   59   63   52   66    61    55    38    22\n",
      "[50,]  103   68   19   35   48   56   52   58   55    61    62    53    52\n",
      "[51,]  111   84   15   29   32   48   46   48   51    56    49    43    47\n",
      "[52,]  127   82   23   18   21   28   37   34   38    38    34    36    37\n",
      "[53,]  146   87   46   30   29   27   28   25   18    26    23    20    18\n",
      "[54,]  151   98   67   63   48   34   29   26   18    18    24    28    28\n",
      "[55,]  148   98   75   67   69   48   40   40   26    32    37    40    36\n",
      "[56,]  152  102   79   67   71   66   53   53   50    44    46    50    47\n",
      "[57,]  150   98   72   59   65   64   60   62   63    55    47    46    48\n",
      "[58,]  134   97   58   42   53   56   61   64   70    65    57    53    50\n",
      "[59,]  115   88   49   21   36   46   58   58   61    56    47    42    43\n",
      "[60,]   92   77   44   12   12   23   48   51   43    35    35    32    26\n",
      "[61,]   78   69   36    9    9    9   13   20   28    18    17    20    20\n",
      "[62,]   71   48   25    9    8    9    9    8    9    11    10    13    19\n",
      "[63,]   59   45   23    9    8    9    9    9    9     9     9     9     9\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    10    10    11    10     9     8    10     9     7    18    42    78\n",
      " [2,]    11    11    11    10    10    10     9     7     7     7     8     7\n",
      " [3,]    11    10    11    10     9     9     8     8     7     6     7     7\n",
      " [4,]    10    12    12     9    11     8     9     7     6     6     6     7\n",
      " [5,]    12    11    12    10    10    10     9     6     7     7     6     5\n",
      " [6,]    11    11    12    10    10     9     8     7     7     6     6     6\n",
      " [7,]    11    11    11    11     9     8     7     7     6     6     6     5\n",
      " [8,]    12    11    12    11     9     8     7     6     6     6     5     4\n",
      " [9,]    11    10     9     8     6     6     6     5     5     5     5     5\n",
      "[10,]    10     8     7     5     4     3     4     4     3     4     4     5\n",
      "[11,]     6     5     4     4     4     4     5     6     6     7    14    25\n",
      "[12,]     4     4     4     6     7     4    17    42    49    68    68    66\n",
      "[13,]     5     6     5    23    54    76    86   101    93   103   100    81\n",
      "[14,]    23    36    74    98   124   130   130   116    96    86    64    47\n",
      "[15,]    88   109   118   142   134   126   113    98    72    44    31    21\n",
      "[16,]   122   144   138   125   120   107    94    65    35    17    17    18\n",
      "[17,]   119   102   113   111   104    94    77    29    15    16    15    18\n",
      "[18,]   115    66    56    89    82    83    41    15    18    22    19    27\n",
      "[19,]    91    45    34    75    69    28    15    15    24    28    39    47\n",
      "[20,]    87    76    69    61    40    23    17    21    39    36    55    66\n",
      "[21,]    98    79    68    53    35    19    14    48    48    58    71    73\n",
      "[22,]    82    58    48    40    18    11    28    62    70    74    61    71\n",
      "[23,]    63    48    39    18    10     8    14    74    65    53    54    43\n",
      "[24,]    33    29    17     8     7     6    23    73    54    40    27    22\n",
      "[25,]    23    18     7     7     7     7    31    66    44    30    44    40\n",
      "[26,]    18    10     9     7     7     9    24    50    45    54    65    68\n",
      "[27,]    13     8     8     7     8     9    15    38    35    54    77    64\n",
      "[28,]     9     7     8     7     9     9     9    32    36    44    54    63\n",
      "[29,]     9     7     8     9    10     7     7    34    41    35    32    29\n",
      "[30,]     9     9     9     9     8     9     9    35    42    48    45    36\n",
      "[31,]     8     9     9    10     7     7     8    12    25    32    30    25\n",
      "[32,]    10     9     8     7     8     8     7     8     8     8     8    12\n",
      "[33,]    11    10     9     8     9     8     8    12     9     8     9    11\n",
      "[34,]    10    10     9     9     8    13     8     9    14    10    13    15\n",
      "[35,]    10    10     9    11    27     9    10    15     9    14    13    39\n",
      "[36,]    11    10     9     9     9    11    11    10    11    24    56    68\n",
      "[37,]    11    11    11    10    10    10    11    11    19    43    61    56\n",
      "[38,]    14    10    12    13    10    10     9    16    34    49    56    31\n",
      "[39,]    17    11    12    13    11    11    11    30    56    55    60    53\n",
      "[40,]    12    11    11    10    11    13    13    44    40    44    45    44\n",
      "[41,]    13    15    25    11    11    12    24    46    45    40    42    45\n",
      "[42,]    15    28    20    12    14    12    34    42    44    43    41    42\n",
      "[43,]    17    20    15    12    11    13    32    44    40    42    36    36\n",
      "[44,]    14    13    13    14    14    16    36    42    37    38    37    38\n",
      "[45,]    13    15    12    12    13    14    31    37    39    39    36    39\n",
      "[46,]    17    14    13    12    12    14    31    40    38    37    43    38\n",
      "[47,]    18    13    12    15    13    15    27    34    36    43    46    40\n",
      "[48,]    21    12    13    15    12    17    37    38    35    34    27    36\n",
      "[49,]    22    15    14    14    15    22    35    39    41    45    45    45\n",
      "[50,]    28    16    21    19    17    21    39    32    35    42    39    36\n",
      "[51,]    34    20    23    15    14    21    46    44    29    37    42    41\n",
      "[52,]    34    19    30    24    19    16    27    26    23    26    34    42\n",
      "[53,]    22    19    22    32    33    20    19    19    15    20    26    31\n",
      "[54,]    20    18    13    15    39    31    28    19    18    18    15    19\n",
      "[55,]    29    25    16    21    14    17    26    22    17    18    14    30\n",
      "[56,]    35    24    22    18    16    14    15    15    18    15    13    16\n",
      "[57,]    39    32    26    17    18    18    15    13    13    14    14    20\n",
      "[58,]    49    39    27    16    15    16    18    14    17    11    23    19\n",
      "[59,]    38    38    27    17    17    15    15    15    15    15    11    15\n",
      "[60,]    30    24    24    24    26    20    18    18    12    13    13    13\n",
      "[61,]    21    21    27    34    50    52    61    57    42    21    11    12\n",
      "[62,]    32    30    37    37    47    56    71    73    74    75    53    25\n",
      "[63,]    12    19    29    34    29    43    54    77    96    86    83    82\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]    96   116   129   146   145   149   141   148   151   153   145   155\n",
      " [2,]    21    39    65    92   108   118   127   131   131   131   135   134\n",
      " [3,]     7     7     7    10    25    43    78   102   125   141   141   149\n",
      " [4,]     6     6     6     7     8     9     8     7     5     9    17    19\n",
      " [5,]     6     6     5     5     6     6     6     5     6     7     7     7\n",
      " [6,]     5     5     5     6     6     6     6     5     5     5     6     6\n",
      " [7,]     5     5     5     5     5     5     6     5     6     6     5     6\n",
      " [8,]     5     5     5     8     7    12     6     6     7     9    10    16\n",
      " [9,]     4     4     4     4     7     7     9     9    19    32    34    30\n",
      "[10,]     5     6     6     8    11    13    13    43    52    41    30    21\n",
      "[11,]    37    37    40    29    22    20    52    76    76    61    31    28\n",
      "[12,]    66    58    51    45    42    42    68    82    77    37    78    75\n",
      "[13,]    71    53    31    23    22    22    38    46    18    38    51    59\n",
      "[14,]    27    20    18    20    16    15    22    17    16    16    27    19\n",
      "[15,]    18    20    22    17    16    22    20    15    21    22    25    21\n",
      "[16,]    17    26    28    26    16    19    22    17    27    31    40    44\n",
      "[17,]    21    20    21    25    28    31    23    28    35    47    52    56\n",
      "[18,]    27    30    39    53    61    57    56    54    59    66    76    75\n",
      "[19,]    54    61    56    55    65    81    86    70    66    75    77   103\n",
      "[20,]    61    72    78    82    83    81    68    92    89    93    81   110\n",
      "[21,]    78    87    79    81    63    36    68    74    84    87    67    55\n",
      "[22,]    79    68    80    96    87    90    82    78    80    53    58    16\n",
      "[23,]    42    38    39    40    68    63    58    61    47    34    17     7\n",
      "[24,]    19    22    23    27    50    56    42    37    37    14    12     6\n",
      "[25,]    42    30    19    24    28    21    44    80    10    11     6     6\n",
      "[26,]    54    64    44    38    63    98    87     6    10     7     6     7\n",
      "[27,]    94    90    39    57   106    65    20    11     6     6     6     7\n",
      "[28,]    55    57    31    80    28    10     7     7     7     8     7     8\n",
      "[29,]    25    27    39    15     7     8     7     8     7     7     7     9\n",
      "[30,]    37    52    10    11     7     9     8     8     9     9     8     9\n",
      "[31,]    54    19    24     8     7     8     9     8     9    10     8     9\n",
      "[32,]    16    23     9     8     8     8     8     9     9     8     8     9\n",
      "[33,]    19    11     9     9     8     9    10     9     9     9    10    10\n",
      "[34,]    16    26    25    20    15    16    13    20    20    16    14    15\n",
      "[35,]    77    48    49    41    25    23    14    26    24    25    16    31\n",
      "[36,]    56    55    53    30    29    35    30    26    25    22    32    38\n",
      "[37,]    43    46    39    31    32    38    28    25    16    21    22    30\n",
      "[38,]    28    38    38    30    34    19    18    18    14    15    13    17\n",
      "[39,]    32    37    36    35    28    18    16    13    17    14    15    15\n",
      "[40,]    34    37    35    32    22    18    24    20    15    19    19    23\n",
      "[41,]    45    40    38    37    37    32    27    26    15    22    30    28\n",
      "[42,]    44    39    38    38    45    37    22    25    24    28    26    29\n",
      "[43,]    41    34    34    33    22    16    17    31    30    29    37    22\n",
      "[44,]    37    34    35    25    14    15    24    30    26    21    21    18\n",
      "[45,]    34    36    36    33    23    21    17    28    21    17    20    20\n",
      "[46,]    43    36    34    29    25    18    18    24    25    19    15    21\n",
      "[47,]    37    34    23    24    20    28    25    29    29    19    31    30\n",
      "[48,]    32    23    25    26    24    32    38    35    37    27    25    33\n",
      "[49,]    31    28    30    25    29    42    32    35    33    27    33    40\n",
      "[50,]    33    29    28    28    39    30    30    30    26    36    34    35\n",
      "[51,]    33    34    30    37    39    38    38    34    40    37    37    38\n",
      "[52,]    46    41    36    33    38    41    40    39    39    37    32    27\n",
      "[53,]    28    39    37    34    33    24    17    20    21    29    17    23\n",
      "[54,]    26    13    20    21    23    26    30    32    30    14    59    33\n",
      "[55,]    26    33    34    36    35    35    33    35    33    34    17    32\n",
      "[56,]    18    27    31    30    31    33    35    37    36    34    36    24\n",
      "[57,]    12    14    17    28    34    33    33    34    34    35    34    33\n",
      "[58,]    43    20    15    15    22    31    35    34    35    36    34    35\n",
      "[59,]    37    65    36    19    10    22    28    33    34    33    35    35\n",
      "[60,]    10    23    68    66    44    23    15    22    33    34    35    36\n",
      "[61,]    11    12     9    20    74    87    58    18    16    16    19    19\n",
      "[62,]    18    11     9    10    10     7    49    63    33    26     9    10\n",
      "[63,]    76    40    20     8     9    14    26     8     9    36    49    48\n",
      "[64,]     0    43    50    59    45    10     8     9    11    18    25    20\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   143   144   154   158   152   133   155   153   149   149   159   173\n",
      " [2,]   130   136   142   137   138   140   143   149   154   162   171   166\n",
      " [3,]   147   151   153   153   156   157   154   146   106    47    23    13\n",
      " [4,]    34    37    46    34    17    15    12    10    11     9     6     6\n",
      " [5,]     9     9     9     8     6     6     7     6     6     5     5     6\n",
      " [6,]     5     5     5     6     5     5     6     5     6     5     5     5\n",
      " [7,]     7     9     8     9     8     8     8     8     9    10     9     6\n",
      " [8,]    23    27    34    34    34    30    23    24    24    34    23    10\n",
      " [9,]    26    26    22    25    25    24    26    34    48    69    78    73\n",
      "[10,]    21    26    33    38    37    26    34    69    84   104    99   109\n",
      "[11,]    35    32    32    28    19    34    49    68    95    98   116   127\n",
      "[12,]    45    31    21    13    14    22    35    40    40    43    50    62\n",
      "[13,]    49    26    16    16    16    12    10    11    11    11    11     8\n",
      "[14,]    19    23    16    19    14     9    11    13    13    15    16    13\n",
      "[15,]    22    19    11     9    20    15    15    14    13    15    10    13\n",
      "[16,]    27    24    24    14    11    32    44    52    61    58    23    15\n",
      "[17,]    50    30    32    21    33    58    56    76    74    64    64    71\n",
      "[18,]    75    58    21    10    17    13    14    19    35    41    42    45\n",
      "[19,]   111    36    21    11     8     6     5     5     6     6     5     7\n",
      "[20,]    52    13     6     6     4     4     4     5     4     4     5     4\n",
      "[21,]    10     5     5     5     5     5     4     4     5     5     5     4\n",
      "[22,]     8     5     4     5     5     5     5     5     5     5     5     4\n",
      "[23,]     6     4     6     5     5     7     7     7     7     7     7     7\n",
      "[24,]     5     6     6     6     7     8     8     9     8    10    10     9\n",
      "[25,]     7     7     7     7     8     9    10     9    11    10     9    10\n",
      "[26,]     7     7     8    10     9     9     9     9    10    11    10    10\n",
      "[27,]     8     8     9    11    10    11     9    12     9    11    10     9\n",
      "[28,]     9     9     9     9    10    10    10     9     9    10    10     9\n",
      "[29,]    10    10    10    10    10    10    10    10     9     9    10    10\n",
      "[30,]     8    10    10     9    11    10    11    10    10     9    10    11\n",
      "[31,]     9     9     9     8     9     9     9     9    10    10     9     9\n",
      "[32,]    10     9    10    10     9     9    10     9     8    10    10     9\n",
      "[33,]    10    10     9    10     9     9     8     9     9     9    11     9\n",
      "[34,]    21    16    20    17    16    15    12    11    12    15    22    19\n",
      "[35,]    21    14    30    49    28    25    24    20    19    22    25    24\n",
      "[36,]    23    21    28    45    42    38    29    34    38    46    18    12\n",
      "[37,]    26    23    21    23    31    35    35    36    37    13    21    28\n",
      "[38,]    20    27    28    24    25    28    34    36    38    15    24    33\n",
      "[39,]    17    17    19    16    23    35    33    34    36    30    17    13\n",
      "[40,]    22    16    15    15    27    30    28    32    11    35    45    39\n",
      "[41,]    31    22    21    28    32    30    29    41    57    33    25    21\n",
      "[42,]    30    29    21    24    34    37    35    22    29    33    48    41\n",
      "[43,]    21    28    33    33    37    37    13    41    43    39    33    22\n",
      "[44,]    22    23    28    38    37    12    26    40    48    37    27    22\n",
      "[45,]    20    19    20    38    18    21    35    51    51    40    31    21\n",
      "[46,]    26    27    28    28    26    22    38    52    56    42    47    34\n",
      "[47,]    29    32    34    21    27    22    35    37    43    43    42    36\n",
      "[48,]    41    40    25    16    26    19    24    32    46    53    50    32\n",
      "[49,]    37    31    22    20    25    19    19    13    21    18    16    11\n",
      "[50,]    36    21    21    37    26    21    18    13    29    43    43    38\n",
      "[51,]    29    18    44    49    36    13    25    40    35    30    35    35\n",
      "[52,]    58    48    32    53    37    19    34    33    31    26    29    33\n",
      "[53,]    26    21    46    54    38    29    44    35    28    29    29    34\n",
      "[54,]    18    24    50    54    35    38    41    42    35    28    33    47\n",
      "[55,]    20    36    52    56    28    41    41    36    35    36    41    36\n",
      "[56,]    26    41    56    52    23    40    38    35    36    35    40    42\n",
      "[57,]    32    35    17    56    25    38    39    40    36    36    36    37\n",
      "[58,]    31    33    31    21    27    36    38    40    39    40    35    35\n",
      "[59,]    38    35    36    33    31    33    39    39    40    39    37    38\n",
      "[60,]    34    34    34    24    64    21    37    40    42    41    40    39\n",
      "[61,]    15    26    32    53    51    46    32    23    45    38    30    41\n",
      "[62,]     9    23    26    44    66    76    66    35    33    56    55    40\n",
      "[63,]    43    23    11    13    13    15    10     9    10    11    14    30\n",
      "[64,]    18    14    14    20    21    26    30    26    17    14    22    25\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   179   198   164   114    26    19    16     6     6     6     7     8\n",
      " [2,]    93    32    12    13     7     6     6     5     6     6     6     8\n",
      " [3,]    13    10     6     5     6     6     6     6     5     5     6     8\n",
      " [4,]     6     5     5     5     5     5     5     5     6     5     7     8\n",
      " [5,]     5     4     5     5     4     5     5     5     5     6     7     7\n",
      " [6,]     5     5     5     4     5     4     5     5     5     5     6     6\n",
      " [7,]     4     4     4     4     4     5     3     5     4     4     5     5\n",
      " [8,]     7     7     5     4     4     4     3     4     3     3     4     4\n",
      " [9,]    55    41    27    16    12     8     7     5     7     7     8     8\n",
      "[10,]   101    87    77    78    80    75    62    69    54    40    25    14\n",
      "[11,]   145   145   144   139   128   127   117    83    43    25    42    65\n",
      "[12,]    79    93   103   107   114   115    98    73    26    36    63    86\n",
      "[13,]    11    16    20    24    34    41    37    25    19    42    72    91\n",
      "[14,]    11     9    10    10    10     9    10    17    39    53    64    79\n",
      "[15,]    15    13    13    15    16    15    16    15    20    25    32    43\n",
      "[16,]    13    12    10    10    11    10    11     9    13    18    26    38\n",
      "[17,]    54    32    25    19    14     9     7     8    12    23    33    43\n",
      "[18,]    46    49    36    29    26    29    38    33    13    39    67    82\n",
      "[19,]     7     8    18    31    32    28    29    25    18    53    72    76\n",
      "[20,]     6     5     5     5     7    14    21    23    29    42    51    68\n",
      "[21,]     4     4     4     4     4     5     7    15    50    61    68    63\n",
      "[22,]     5     6     5     5     5     4     5    10    21    42    46    62\n",
      "[23,]     7     7     6     5     4     5     4     4     9    20    24    49\n",
      "[24,]     9     8     7     7     7     5     5     6    11    16    14    43\n",
      "[25,]     9     9     8     8     6     5     6     6     7     9    17    29\n",
      "[26,]     9     9    10     8     8     7     6     7     7    12    13    14\n",
      "[27,]     8    11     9     8     7     7     8     7     9    17    12     9\n",
      "[28,]    10     9    10     9     8     7     8     7     9    19     9    13\n",
      "[29,]     9     9     9     8     9     8     7     8    14    27    17    16\n",
      "[30,]     9     8     7     8     8     9     7     8    23    47    32    15\n",
      "[31,]     9     9    10     8     8     8     8    12    30    72    32    15\n",
      "[32,]    10    10     9     8     9     8     8    28    79    76    19    10\n",
      "[33,]    10     9     9     9     8     9    30    37    67    48    23    10\n",
      "[34,]    17    18    14     9    15    34    26    25    40    31    14    24\n",
      "[35,]    30    29    13    16    68    14    13    16    24    28    23    10\n",
      "[36,]    10    15    14    49    29    19    23    22    16    19    22    16\n",
      "[37,]    28    25    27    24    26    28    19    27    46    25    49    44\n",
      "[38,]    35    19    18    27    27    11    12    23    42    28    17    12\n",
      "[39,]    22    11    16    13    12    21    46    33    13    22    11    20\n",
      "[40,]    25    16    28    17    16    14    15    14    14    11    10    18\n",
      "[41,]    17    17    29    25    22    16    15    20    17    11    14    39\n",
      "[42,]    24    35    24    13    11    11    15    24    21    20    14    17\n",
      "[43,]    15    24     9    23    26    27    26    28    29    13    12    14\n",
      "[44,]    15    20    34    29    27    25    28    28    25    22    21    22\n",
      "[45,]    29    34    28    27    26    25    26    20    12    15    19    16\n",
      "[46,]    30    32    31    32    32    32    31    11    20    31    40    20\n",
      "[47,]    32    30    33    30    27    30    23    19    27    27    14    13\n",
      "[48,]    30    22    24    22    19    21    13    25    18    16    11    12\n",
      "[49,]    11    23    30    14    16    49    39    33    34    15    11    10\n",
      "[50,]    29    38    28    18    65    67    26    13    24    12    15    18\n",
      "[51,]    29    42    45    36    41    54    27    28    26    19    15    16\n",
      "[52,]    30    59    51    57    53    41    35    34    22    15    17    18\n",
      "[53,]    53    69    62    44    38    42    46    33    23    18    17    17\n",
      "[54,]    71    61    53    41    37    36    47    33    22    16    16    28\n",
      "[55,]    46    45    43    34    36    37    52    37    20    20    22    23\n",
      "[56,]    35    30    35    37    36    39    49    45    18    13    17    11\n",
      "[57,]    33    35    37    37    38    47    45    21    11    11    14     9\n",
      "[58,]    34    40    37    41    49    58    35    15    14    11     7     7\n",
      "[59,]    39    39    39    44    55    33    25    13     9     7     6    11\n",
      "[60,]    40    36    47    45    68    42    14     7     6     6     9    11\n",
      "[61,]    47    46    35    25    22    20    16     8     6     6     9    13\n",
      "[62,]    28    18    23    23    21    18    11     6     5     6    11    13\n",
      "[63,]    20    21    23    21    19    16    10     7     5     6    12    10\n",
      "[64,]    27    23    23    22    20    15     7     4     3     5    11    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]    10    12    13\n",
      " [2,]     9    10    12\n",
      " [3,]     8    11    12\n",
      " [4,]     8    10    12\n",
      " [5,]     8     9    11\n",
      " [6,]     7     8     9\n",
      " [7,]     6     8     7\n",
      " [8,]     4     4     5\n",
      " [9,]     7     5     4\n",
      "[10,]    10     8    23\n",
      "[11,]    91   125   162\n",
      "[12,]   121   174   197\n",
      "[13,]   129   160   164\n",
      "[14,]    94   115   148\n",
      "[15,]    57    72    97\n",
      "[16,]    50    52    63\n",
      "[17,]    54    56    52\n",
      "[18,]    83    79    73\n",
      "[19,]    81    85    84\n",
      "[20,]    69    63    69\n",
      "[21,]    58    50    59\n",
      "[22,]    80    65    52\n",
      "[23,]    74    77    46\n",
      "[24,]    46    44    37\n",
      "[25,]    28    19    19\n",
      "[26,]    15    11     7\n",
      "[27,]    13     7     5\n",
      "[28,]    14    13     7\n",
      "[29,]    11    16    17\n",
      "[30,]     9    14    21\n",
      "[31,]     7    12    12\n",
      "[32,]    11    26    21\n",
      "[33,]    29    31    22\n",
      "[34,]    22    30    32\n",
      "[35,]    18    39    48\n",
      "[36,]    25    58    69\n",
      "[37,]    31    23    28\n",
      "[38,]    13    28    27\n",
      "[39,]    27    25    26\n",
      "[40,]    19    19    17\n",
      "[41,]    67    88    75\n",
      "[42,]    60    88    73\n",
      "[43,]    12     7     9\n",
      "[44,]    12     8    10\n",
      "[45,]    11    10    13\n",
      "[46,]    10    13    15\n",
      "[47,]    10    11    17\n",
      "[48,]    13    12    15\n",
      "[49,]    12    13    15\n",
      "[50,]    23    17    17\n",
      "[51,]    24    47    54\n",
      "[52,]    24    35    61\n",
      "[53,]    31    36    43\n",
      "[54,]    33    24    33\n",
      "[55,]    10    14    33\n",
      "[56,]    13    23    10\n",
      "[57,]     7    12    10\n",
      "[58,]    11     9    11\n",
      "[59,]    13    12    15\n",
      "[60,]    14    15    16\n",
      "[61,]    13    16    17\n",
      "[62,]    15    17    18\n",
      "[63,]    10    21    23\n",
      "[64,]     9     9    21\n",
      "\n",
      ", , 15, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   10   11   12   11   11   10   10   12   11    10    10    11    11\n",
      " [2,]   12   12   11   11   11   12   12   12   13    11    11    13    12\n",
      " [3,]   12   12   11   11   12   12   12   12   11    12    12    11    12\n",
      " [4,]   11   11   13   12   13   11   11   10   11    12    12    13    11\n",
      " [5,]   10   11   12   11   11   13   13   13   11    12    12    12    11\n",
      " [6,]   12   12   11   11   12   12   12   12   11    13    11    13    12\n",
      " [7,]   11   11   12   11   12   11   12   12   12    11    12    12    13\n",
      " [8,]   11   11   12   11   11   11   13   13   12    12    12    13    11\n",
      " [9,]   13   12   12   12   13   12   12   12   11    11    10    11    10\n",
      "[10,]   11   12   12   11   11   12   12   10   12    10    10    10    10\n",
      "[11,]   13   11   12   11   12   11   12   11   11     9     8     8     7\n",
      "[12,]   13   12   12   11   11   10    9   10    8     6     6     4     4\n",
      "[13,]   12   12   10   10   10    8    7    7    6     5     5     4     5\n",
      "[14,]   11   10   11   10    7    6    5    5    4     5     6     7     7\n",
      "[15,]   10   10   10    8    6    4    4    5    5     7    10    30    57\n",
      "[16,]    9    9    7    5    5    5    5    7   12    41    72    98   119\n",
      "[17,]    8    7    5    4    5    6   10   39   70   100   113   136   126\n",
      "[18,]    6    5    6    5    6   37   71  100  131   140   153   122   101\n",
      "[19,]    6    6    6   14   63  100  132  135  156   152   134    79   104\n",
      "[20,]    5    7   24   80  121  141  160  154  144   127    51    79    75\n",
      "[21,]    6   24   95  134  150  157  136  109   71    47    62    58    85\n",
      "[22,]   20   91  151  155  147  136  113   53   22    38    52    69    59\n",
      "[23,]   82  147  149  152  131  117   34   15   22    56    55    63    86\n",
      "[24,]  138  151  143   97   81   77   27   32   39    49    51    25    67\n",
      "[25,]  156  147  110   62   43   23   37   29   84    99    44    40    20\n",
      "[26,]  147  147   73   57   18   37   72   87   81    55    58    17    21\n",
      "[27,]  148  130  102   62   45   39   55   93  100    58    33    23    17\n",
      "[28,]  142  123  120   52   27   43   53   81   88    57    24    23    15\n",
      "[29,]  143  127  101  104   45   66   78   83   59    31    12    14    12\n",
      "[30,]  137  127  120  102   71   77   79   58   51    33    22    14     9\n",
      "[31,]  137  125  106   91   92   91   74   63   52    37    24    11    10\n",
      "[32,]  133  121  100  110   96   98   85   63   52    38    21    10    10\n",
      "[33,]  133  109   95  118  104   80   68   52   44    35    17    11     9\n",
      "[34,]  129  121   98  103   92   74   69   63   52    41    23    12    11\n",
      "[35,]  126  119   87   82   83   74   78   72   59    45    28    11    10\n",
      "[36,]  127  121   79   80   84   86   89   79   71    55    34    12    12\n",
      "[37,]  119  120   88   84   92   87   90   78   65    46    24    13    16\n",
      "[38,]  107  123   97   76   69   67   85   86   64    51    21    17    12\n",
      "[39,]   83  118  104   64   91   70   88   85   63    41    25    13    15\n",
      "[40,]   68  121  116   92   50   49   83   71   66    49    37    29    25\n",
      "[41,]   61  106  126  114   65   20   19   27   45    37    33    35    15\n",
      "[42,]   51   86  105   71   20   20   13   14   17    22    32    40    16\n",
      "[43,]   38   66  114   94   23   13   14   13   13    29    44    44    24\n",
      "[44,]   22   45  106  106   83   14   14   20   25    37    39    31    22\n",
      "[45,]   15   22   76  103   92   38   17   25   35    54    59    43    30\n",
      "[46,]   18   19   39   96   88   60   32   30   57    61    70    50    38\n",
      "[47,]   54   15   25   80   86   72   52   58   69    36    76    67    40\n",
      "[48,]   82   23   25   52   75   65   58   64   56    45    42    63    45\n",
      "[49,]   93   52   25   44   65   61   62   55   63    60    54    39    26\n",
      "[50,]  104   69   20   36   43   53   50   58   54    63    62    55    53\n",
      "[51,]  114   84   15   27   33   48   46   44   50    54    47    42    48\n",
      "[52,]  130   89   25   19   18   29   34   32   39    37    38    38    40\n",
      "[53,]  148   92   47   32   27   21   25   25   18    24    22    22    19\n",
      "[54,]  154  100   69   63   54   35   29   28   20    18    21    26    31\n",
      "[55,]  152  102   79   68   70   47   37   41   28    33    34    40    37\n",
      "[56,]  154  102   81   67   68   66   56   50   48    43    43    47    46\n",
      "[57,]  152  104   70   63   67   64   63   59   66    51    48    47    52\n",
      "[58,]  136   99   61   41   57   56   61   66   72    66    57    53    51\n",
      "[59,]  116   86   52   21   39   51   57   55   63    54    47    42    42\n",
      "[60,]   93   78   44   13   13   24   46   50   43    36    35    30    27\n",
      "[61,]   82   74   36    9    9   10   14   23   28    23    15    20    19\n",
      "[62,]   73   50   19    9   10   10    8   10   10    11    12    12    22\n",
      "[63,]   58   47   22    9    8    8    9    9    8     9    10     9    10\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    12    10    11    11     9    10    10     9     7    16    44    78\n",
      " [2,]    13    12    11    10    10     8     9     8     8     7     8     8\n",
      " [3,]    13    12    11    11    10     9     8     9     8     7     8     8\n",
      " [4,]    12    12    10    11    10     9     8     8     7     6     6     7\n",
      " [5,]    12    11    13    11     9     9    10     7     7     6     6     6\n",
      " [6,]    12    12    12    10     9     9     8     7     7     6     6     6\n",
      " [7,]    13    11    12    11    11     9     8     7     6     6     6     6\n",
      " [8,]    10    11    10    10    10     8     8     7     6     6     6     5\n",
      " [9,]    10     9     8     8     7     6     7     5     5     4     5     5\n",
      "[10,]     8     7     6     5     5     4     4     4     4     4     4     5\n",
      "[11,]     6     6     5     4     4     5     5     6     8     7    15    26\n",
      "[12,]     5     4     4     6     7     5    20    45    50    71    70    67\n",
      "[13,]     5     7     7    25    55    77    89   105    97   106   104    84\n",
      "[14,]    24    37    75   100   128   133   133   119    98    89    67    49\n",
      "[15,]    90   111   123   144   137   127   115   101    75    46    31    21\n",
      "[16,]   125   146   138   125   122   112    98    66    35    16    16    18\n",
      "[17,]   120   104   116   113   106    97    80    30    15    16    15    16\n",
      "[18,]   115    68    58    91    82    87    41    16    17    23    19    27\n",
      "[19,]    93    48    34    77    69    27    14    14    25    28    35    47\n",
      "[20,]    91    77    68    63    40    27    20    24    38    33    52    62\n",
      "[21,]   100    82    69    55    37    21    18    49    42    60    68    69\n",
      "[22,]    84    59    48    41    20    12    36    58    67    66    63    67\n",
      "[23,]    62    47    38    17    12     8    39    72    62    51    48    40\n",
      "[24,]    33    28    18     8     7     6    50    68    50    40    27    29\n",
      "[25,]    23    18     8     8     6     7    60    63    41    38    62    58\n",
      "[26,]    16     9     9     7     7    10    40    55    70    85    78    58\n",
      "[27,]    11     8     9     7     8     9    27    42    62   100   125    81\n",
      "[28,]     9     9     8     7     9     8    13    38    41    93   102    94\n",
      "[29,]    10     8     8     8     9     7     9    39    41    45    52    75\n",
      "[30,]     8     8     8     9     8     8    10    38    37    39    38    27\n",
      "[31,]     9     9     9     9     7     8    10    25    42    47    46    34\n",
      "[32,]    10    11     8     8     8     9     8     8     9    15    21    24\n",
      "[33,]    12    10     9     9     9     8     8    11     9     9     7    10\n",
      "[34,]     9     8     9    10     9    10     9    10    12    11    11    10\n",
      "[35,]     9    10     8    12    24    11    10    14    13    11    17    30\n",
      "[36,]    13    10     9     9    13    10    11    12    13    24    51    69\n",
      "[37,]    13     9    10    10    10    12     9    11    20    41    61    55\n",
      "[38,]    13    10    12    11    11    11    11    15    33    49    52    33\n",
      "[39,]    15    11    11    14    11    11    15    27    56    53    59    52\n",
      "[40,]    14    13    12    11    11    11    13    44    45    46    49    42\n",
      "[41,]    14    14    25    12    13    11    24    51    41    41    47    43\n",
      "[42,]    14    31    24    13    11    12    33    42    46    43    44    40\n",
      "[43,]    15    18    12    11    12    14    32    42    40    42    36    37\n",
      "[44,]    15    14    13    12    13    12    34    43    43    39    38    38\n",
      "[45,]    16    16    13    14    13    14    30    40    39    36    35    37\n",
      "[46,]    15    14    15    14    11    14    33    42    34    40    45    40\n",
      "[47,]    20    13    13    15    15    14    29    32    35    44    45    35\n",
      "[48,]    22    15    13    16    14    24    38    37    34    33    31    33\n",
      "[49,]    28    16    13    15    16    22    39    38    42    43    45    41\n",
      "[50,]    29    17    20    16    17    19    39    33    35    41    41    40\n",
      "[51,]    41    17    20    19    14    18    45    40    28    41    45    42\n",
      "[52,]    35    23    31    26    17    17    22    27    24    25    32    44\n",
      "[53,]    22    19    22    34    31    18    17    18    14    19    24    32\n",
      "[54,]    15    18    14    17    39    34    28    17    17    19    13    16\n",
      "[55,]    31    25    17    16    18    15    31    25    20    15    16    25\n",
      "[56,]    33    26    21    17    16    14    14    16    16    16    13    17\n",
      "[57,]    41    31    25    18    18    20    14    12    14    14    16    25\n",
      "[58,]    46    35    28    19    15    16    18    14    16    12    25    18\n",
      "[59,]    39    38    28    19    15    15    14    15    15    15    12    17\n",
      "[60,]    25    22    24    25    22    24    19    19    13    14    13    14\n",
      "[61,]    22    20    26    34    50    54    62    58    43    22    12    11\n",
      "[62,]    32    35    33    38    48    54    72    73    76    75    54    26\n",
      "[63,]    12    18    28    34    32    41    55    73    96    87    86    82\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]    98   116   129   147   145   148   142   149   153   154   147   157\n",
      " [2,]    19    37    66    95   110   119   129   132   131   133   136   135\n",
      " [3,]     7     7     7     9    24    47    79   104   129   143   147   151\n",
      " [4,]     6     6     7     5     8     8     8     6     5     7    16    20\n",
      " [5,]     6     6     6     6     6     6     7     6     7     7     7     8\n",
      " [6,]     6     6     7     6     6     6     7     6     6     6     6     6\n",
      " [7,]     6     6     5     6     7     6     6     6     6     7     6     6\n",
      " [8,]     5     6     5     7     8    12     7     6     7     8    10    17\n",
      " [9,]     4     5     4     5     9     8     9     9    18    35    36    32\n",
      "[10,]     6     6     6     8    11    13    14    44    52    42    31    23\n",
      "[11,]    38    38    42    31    22    21    53    78    80    62    32    30\n",
      "[12,]    68    59    52    47    45    44    69    84    79    37    80    76\n",
      "[13,]    74    54    31    23    22    23    39    47    18    38    50    62\n",
      "[14,]    28    20    19    19    17    16    23    16    16    17    27    20\n",
      "[15,]    19    22    22    17    16    22    19    14    21    22    24    22\n",
      "[16,]    17    27    28    27    16    20    22    18    29    34    42    42\n",
      "[17,]    20    20    21    26    29    29    26    30    38    51    52    56\n",
      "[18,]    30    33    41    54    62    56    55    53    59    63    71    73\n",
      "[19,]    55    57    54    52    66    81    88    70    65    75    73    82\n",
      "[20,]    61    70    78    80    88    76    60   110    94   104    86    83\n",
      "[21,]    73    93    78    79    58    39    70    86    91    98    75    64\n",
      "[22,]    71    71    86   100    95    91    76    81    86    74    50    23\n",
      "[23,]    36    36    40    55    92    77    75    78    65    36    25    13\n",
      "[24,]    29    25    22    35    57    57    38    36    29    19    16     7\n",
      "[25,]    67    43    24    24    39    56    59    53    23    15     9     6\n",
      "[26,]    57    82    76    32    50    83   101    10    12     7     7     7\n",
      "[27,]    97   102    73    54   100   104    11    17     8     7     6     7\n",
      "[28,]   103   125    45    58    68     7     9     7     7     6     7     9\n",
      "[29,]    59    43    29    36     8    10     7     8     8     8     7     9\n",
      "[30,]    30    29    24    10     8     8     8     9     8     9    10    10\n",
      "[31,]    45    33    21     8     7     9     8     8     8     9     9     9\n",
      "[32,]    52    20    10     9     7     9    10    10     9     9     9    10\n",
      "[33,]    15    10    11    10    12    10    10    10    10     9    11    10\n",
      "[34,]    12    28    27    26    19    19    13    18    21    15    16    15\n",
      "[35,]    75    50    52    41    31    28    18    28    27    30    16    28\n",
      "[36,]    59    55    53    32    30    34    33    26    28    23    32    39\n",
      "[37,]    40    45    41    32    30    39    27    25    17    22    22    29\n",
      "[38,]    26    36    39    31    33    19    18    19    13    14    12    17\n",
      "[39,]    33    33    36    35    29    19    17    14    14    14    16    13\n",
      "[40,]    34    39    37    34    26    18    22    20    14    22    21    27\n",
      "[41,]    45    42    37    39    34    28    24    30    17    20    29    29\n",
      "[42,]    43    36    40    39    46    36    22    25    23    31    29    29\n",
      "[43,]    38    39    32    35    19    17    13    32    33    30    34    23\n",
      "[44,]    35    34    34    29    16    14    29    29    24    22    22    19\n",
      "[45,]    37    36    35    33    22    25    17    27    20    18    19    18\n",
      "[46,]    44    39    38    31    23    17    22    32    28    21    17    19\n",
      "[47,]    36    31    21    22    20    25    24    30    27    20    30    31\n",
      "[48,]    29    23    24    25    26    34    38    37    37    27    24    31\n",
      "[49,]    31    29    30    27    30    41    29    36    33    27    34    37\n",
      "[50,]    31    32    29    32    39    32    32    31    24    31    33    34\n",
      "[51,]    35    32    36    35    36    40    42    37    43    36    37    35\n",
      "[52,]    44    41    39    32    39    40    43    42    44    37    26    30\n",
      "[53,]    26    38    38    33    32    23    19    19    22    32    17    25\n",
      "[54,]    26    15    18    21    25    26    29    34    33    15    56    33\n",
      "[55,]    24    31    32    35    32    33    35    39    38    35    19    34\n",
      "[56,]    17    25    31    32    34    36    37    35    35    35    33    22\n",
      "[57,]    13    13    19    27    30    32    36    32    35    36    36    34\n",
      "[58,]    43    21    16    14    24    33    34    34    35    35    35    35\n",
      "[59,]    39    64    38    23    11    20    30    32    35    34    36    36\n",
      "[60,]    10    23    71    71    48    23    16    23    30    33    34    37\n",
      "[61,]    11    10     9    21    75    84    61    19    17    17    20    21\n",
      "[62,]    16    11     9    10     9     7    50    60    36    28    11    10\n",
      "[63,]    75    39    20    11     9    16    28     9    10    36    48    50\n",
      "[64,]     0    44    51    59    45    11     8     9    11    19    25    20\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   145   145   155   159   152   133   154   153   151   152   160   174\n",
      " [2,]   131   136   144   137   141   142   146   152   156   162   175   169\n",
      " [3,]   150   153   155   153   157   161   157   147   109    48    25    14\n",
      " [4,]    34    39    48    35    16    13     9    10    11    10     6     6\n",
      " [5,]     9     9    10     8     7     6     6     6     6     5     6     5\n",
      " [6,]     6     6     5     6     5     5     6     6     5     5     5     5\n",
      " [7,]     7    10     9     9     8     8     8     9     9     9     9     5\n",
      " [8,]    25    28    35    34    34    30    23    24    24    35    24    10\n",
      " [9,]    29    28    22    26    25    25    27    35    48    71    77    71\n",
      "[10,]    23    26    33    38    38    26    35    71    83   105   100   110\n",
      "[11,]    35    33    32    29    19    33    49    69    95    99   117   128\n",
      "[12,]    47    32    23    13    15    23    35    38    41    45    51    63\n",
      "[13,]    50    26    17    16    16    12    11    12    11    11    10    10\n",
      "[14,]    20    24    16    20    14     8    12    13    13    14    16    13\n",
      "[15,]    23    18    10     9    19    16    17    15    14    14    10    13\n",
      "[16,]    27    25    27    15    11    33    46    52    62    59    26    15\n",
      "[17,]    52    35    36    30    31    60    56    77    75    65    66    71\n",
      "[18,]    74    63    40    14    20    15    12    19    33    39    41    43\n",
      "[19,]    97    54    25    15    10     7     5     6     7     6     5     6\n",
      "[20,]    80    24     9     5     4     4     5     4     5     5     5     5\n",
      "[21,]    20     7     6     5     5     4     4     4     4     4     5     4\n",
      "[22,]     8     5     4     5     5     5     5     5     4     4     6     5\n",
      "[23,]     6     6     5     6     6     6     6     7     7     7     7     7\n",
      "[24,]     6     6     6     6     7     8     9     9     9    11     9    10\n",
      "[25,]     6     7     8     8     9     9     9    11    11    10    11    10\n",
      "[26,]     7     8     9     9     9     9    10    10    10    10    10    10\n",
      "[27,]     8     9     9    10    10     9    11     9    10    10     9    10\n",
      "[28,]     9     9    10     9    10    10    10     9     9     9    11    11\n",
      "[29,]     9     9     9    10    10     9    10    10     9    10     9    10\n",
      "[30,]    10    10     9     9    10    10     9     9     9    10     9     8\n",
      "[31,]    10     8     9    10    10     9    10    11     9    10     8    10\n",
      "[32,]     9     9     8     9     8     8    10     9     9     9    10     9\n",
      "[33,]     9     9     9     9    10     9     9    10    10    10     9     8\n",
      "[34,]    20    20    22    15    13    11    12    12    13    15    19    16\n",
      "[35,]    23    17    28    48    30    24    25    22    17    22    25    27\n",
      "[36,]    26    22    30    47    42    40    28    33    38    46    19    12\n",
      "[37,]    27    24    23    26    29    36    34    35    35    15    21    29\n",
      "[38,]    21    29    29    28    26    30    38    38    36    16    24    34\n",
      "[39,]    17    20    21    19    20    33    34    35    35    27    21    15\n",
      "[40,]    24    16    15    17    29    34    32    32    12    37    41    40\n",
      "[41,]    31    28    23    27    29    30    30    39    55    35    25    17\n",
      "[42,]    28    26    21    26    36    39    37    23    33    38    49    42\n",
      "[43,]    20    24    31    31    37    35    13    48    44    41    32    22\n",
      "[44,]    23    24    25    40    38    13    31    43    43    34    26    21\n",
      "[45,]    22    19    24    41    20    26    32    46    46    38    31    23\n",
      "[46,]    26    23    26    31    23    22    40    51    53    44    55    38\n",
      "[47,]    30    30    33    19    23    19    32    37    47    46    42    35\n",
      "[48,]    39    39    23    16    27    21    22    29    49    49    48    39\n",
      "[49,]    36    35    20    19    26    17    17    14    22    16    14    14\n",
      "[50,]    35    24    20    38    27    19    18    15    34    40    39    39\n",
      "[51,]    30    19    44    49    36    12    25    40    39    33    32    36\n",
      "[52,]    59    47    35    56    39    20    37    37    31    29    30    32\n",
      "[53,]    25    18    48    53    35    26    43    34    30    28    31    36\n",
      "[54,]    20    23    51    57    37    39    44    44    34    31    36    46\n",
      "[55,]    22    35    50    53    28    42    41    37    33    38    42    35\n",
      "[56,]    22    40    58    55    21    40    38    34    36    35    39    43\n",
      "[57,]    33    36    16    56    25    39    39    42    36    39    37    36\n",
      "[58,]    32    34    35    18    27    36    37    41    38    40    37    36\n",
      "[59,]    36    35    34    31    36    33    41    39    40    39    40    37\n",
      "[60,]    36    35    34    26    66    19    36    40    41    42    41    40\n",
      "[61,]    19    24    30    53    48    46    31    25    44    40    29    42\n",
      "[62,]     9    22    28    44    66    78    67    38    30    55    52    42\n",
      "[63,]    45    23    11    13    15    14     9     8    11    13    17    29\n",
      "[64,]    18    14    15    20    22    26    31    25    16    15    20    25\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   181   204   167   117    26    20    16     7     6     7     7     8\n",
      " [2,]    94    33    12    12     7     6     6     6     6     6     7     8\n",
      " [3,]    13     9     5     5     6     6     6     5     6     5     8     8\n",
      " [4,]     5     6     6     6     5     6     5     6     6     6     6     7\n",
      " [5,]     5     5     5     5     5     5     6     5     6     5     6     8\n",
      " [6,]     5     4     5     5     5     5     5     5     5     5     5     6\n",
      " [7,]     4     4     4     4     4     5     4     4     5     4     4     5\n",
      " [8,]     8     7     6     5     5     4     4     4     4     5     4     4\n",
      " [9,]    54    41    27    17    12     9     7     5     6     8     8     7\n",
      "[10,]   102    89    78    78    80    76    63    68    55    41    24    15\n",
      "[11,]   147   147   146   140   131   128   118    83    44    26    42    64\n",
      "[12,]    80    94   103   109   115   116    98    74    26    37    64    88\n",
      "[13,]    11    15    19    25    35    40    36    26    21    45    74    92\n",
      "[14,]    12    10    10     9    10    11    10    16    40    54    65    80\n",
      "[15,]    14    13    13    18    17    16    16    15    20    26    31    44\n",
      "[16,]    13    12    12     9     9    10    10    10    13    20    27    39\n",
      "[17,]    55    34    26    21    13     7     7     8    12    23    35    43\n",
      "[18,]    46    48    37    29    28    30    40    36    13    40    70    82\n",
      "[19,]     7     9    17    28    31    27    29    25    19    52    71    77\n",
      "[20,]     6     5     6     6     6    13    21    22    29    43    51    69\n",
      "[21,]     4     4     5     5     5     5     7    14    49    62    67    62\n",
      "[22,]     5     5     6     4     4     4     5     8    20    42    47    63\n",
      "[23,]     7     7     6     5     5     4     4     5    10    19    23    48\n",
      "[24,]    10     9     7     6     5     5     5     6    11    18    14    42\n",
      "[25,]    10     7     9     8     7     5     6     6     7     7    17    30\n",
      "[26,]    10     9    11     8     6     7     6     6     6    12    13    14\n",
      "[27,]     8     9     9     9     8     8     7     7     7    16    12    10\n",
      "[28,]    10    10     9     9     9     9     8     8     8    15    11    12\n",
      "[29,]     9    10     9     8     8     7     8     8    13    29    18    18\n",
      "[30,]     9     9     9     8     8     9     7     8    22    49    32    12\n",
      "[31,]     9     8     9     9     9     8     8    11    31    72    35    18\n",
      "[32,]     9     8     8     8     9     9     9    25    71    80    20    10\n",
      "[33,]    10     9     9     9     9     9    28    39    67    48    23     9\n",
      "[34,]    19    17    16     9    15    39    28    26    42    35    16    26\n",
      "[35,]    29    31    15    16    70    12    12    15    23    29    22    10\n",
      "[36,]    12    17    14    51    30    19    24    22    12    20    20    16\n",
      "[37,]    29    29    28    26    27    26    20    26    46    26    53    46\n",
      "[38,]    34    22    16    28    27    14    12    23    42    27    19    11\n",
      "[39,]    21    11    16    13    12    20    48    31    16    22    11    22\n",
      "[40,]    28    17    30    17    19    14    13    13    16    12    11    14\n",
      "[41,]    19    22    33    27    23    16    12    21    15    11    14    40\n",
      "[42,]    25    33    22    16    11    11    16    27    22    22    15    19\n",
      "[43,]    12    25    11    25    27    28    26    28    28    14    12    15\n",
      "[44,]    16    19    36    27    27    26    27    25    28    23    22    18\n",
      "[45,]    28    34    29    29    25    24    24    17    13    17    20    18\n",
      "[46,]    31    32    30    31    32    34    30    11    19    31    42    21\n",
      "[47,]    31    31    33    31    27    29    28    18    27    27    13    12\n",
      "[48,]    30    25    22    19    20    22    14    29    16    18    12    11\n",
      "[49,]    11    22    33    15    14    53    39    34    31    14    11     9\n",
      "[50,]    31    42    27    18    68    67    29    14    24    12    13    17\n",
      "[51,]    34    44    46    37    46    55    25    29    27    19    15    17\n",
      "[52,]    30    60    50    57    50    41    35    35    25    18    16    17\n",
      "[53,]    49    71    63    45    40    42    45    35    23    18    17    19\n",
      "[54,]    70    65    56    43    38    36    48    33    22    17    17    32\n",
      "[55,]    47    45    41    35    38    37    52    39    23    20    22    24\n",
      "[56,]    34    31    34    36    38    42    50    45    18    14    17    11\n",
      "[57,]    36    35    38    38    39    48    44    22    11    11    17     8\n",
      "[58,]    33    41    35    40    48    60    37    16    16    11     7     8\n",
      "[59,]    39    42    40    45    53    34    25    14     8     6     6    11\n",
      "[60,]    41    38    46    44    68    42    14     7     5     7     8    11\n",
      "[61,]    47    46    35    25    20    21    16    10     6     8    10    14\n",
      "[62,]    29    20    23    23    23    18    10     6     6     7    11    13\n",
      "[63,]    20    22    24    22    19    17    10     6     5     8    12    10\n",
      "[64,]    28    23    23    22    21    16     7     5     3     5    11    13\n",
      "      [,62] [,63] [,64]\n",
      " [1,]    10    11    13\n",
      " [2,]     9    12    11\n",
      " [3,]     9    11    13\n",
      " [4,]     9    11    11\n",
      " [5,]     9     9    11\n",
      " [6,]     6     8    10\n",
      " [7,]     5     7     7\n",
      " [8,]     4     5     5\n",
      " [9,]     7     6     5\n",
      "[10,]    12     8    22\n",
      "[11,]    94   128   164\n",
      "[12,]   125   179   199\n",
      "[13,]   130   164   168\n",
      "[14,]    96   117   149\n",
      "[15,]    59    73   100\n",
      "[16,]    50    52    65\n",
      "[17,]    54    56    52\n",
      "[18,]    82    81    74\n",
      "[19,]    84    86    85\n",
      "[20,]    71    63    69\n",
      "[21,]    58    48    60\n",
      "[22,]    76    65    53\n",
      "[23,]    75    78    47\n",
      "[24,]    48    47    42\n",
      "[25,]    30    21    22\n",
      "[26,]    16    13     9\n",
      "[27,]    13     9     7\n",
      "[28,]    14    14     7\n",
      "[29,]    11    15    15\n",
      "[30,]    10    16    21\n",
      "[31,]     7    11    13\n",
      "[32,]    13    25    19\n",
      "[33,]    29    33    22\n",
      "[34,]    23    26    30\n",
      "[35,]    17    39    47\n",
      "[36,]    26    57    72\n",
      "[37,]    28    25    29\n",
      "[38,]    14    28    26\n",
      "[39,]    27    24    24\n",
      "[40,]    20    20    15\n",
      "[41,]    66    87    76\n",
      "[42,]    59    90    71\n",
      "[43,]    11     6     7\n",
      "[44,]    12    12    11\n",
      "[45,]    12    10    12\n",
      "[46,]     9    10    15\n",
      "[47,]     9    11    17\n",
      "[48,]    13    13    15\n",
      "[49,]    12    15    13\n",
      "[50,]    22    17    19\n",
      "[51,]    24    46    54\n",
      "[52,]    24    36    61\n",
      "[53,]    30    35    42\n",
      "[54,]    34    24    33\n",
      "[55,]    11    14    32\n",
      "[56,]    12    23    11\n",
      "[57,]     9    13    11\n",
      "[58,]    11     9    10\n",
      "[59,]    13    13    15\n",
      "[60,]    14    15    16\n",
      "[61,]    14    16    16\n",
      "[62,]    16    16    18\n",
      "[63,]    11    21    23\n",
      "[64,]    10    10    23\n",
      "\n",
      ", , 16, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   10   12   11   11   10   11   11   12   12    12    11    10    12\n",
      " [2,]   11   12   13   12   12   11   12   12   11    12    13    12    12\n",
      " [3,]   12   12   12   12   13   12   12   11   12    12    12    12    12\n",
      " [4,]   13   11   12   12   12   11   13   11   11    12    12    11    12\n",
      " [5,]   11   11   13   13   11   12   12   11   13    11    14    12    10\n",
      " [6,]   11   11   12   10   13   12   12   13   12    12    12    12    12\n",
      " [7,]   12   12   12   12   11   13   13   12   11    13    10    12    11\n",
      " [8,]   13   11   11   10   12   12   11   13   11    11    12    13    11\n",
      " [9,]   13   11   12   12   12   12   13   12   13    11    10    10    11\n",
      "[10,]   12   13   12   12   11   12   12   11   12    10    12    10    10\n",
      "[11,]   11   12   14   12   11   11   12   10   10    10     8     7     7\n",
      "[12,]   12   12   11   11   11   11   11   10    8     7     5     5     5\n",
      "[13,]   13   11   12   11   10    9    8    8    6     5     5     4     5\n",
      "[14,]   12   11   11   10    7    6    6    5    5     4     6     7     7\n",
      "[15,]   11   11    9    8    6    5    5    5    4     7     9    31    59\n",
      "[16,]   10    8    7    6    6    5    5    7   12    45    74   102   122\n",
      "[17,]    9    7    6    5    6    7   10   40   72   104   115   139   127\n",
      "[18,]    6    5    6    6    6   40   74  101  133   143   156   124   105\n",
      "[19,]    5    5    7   15   65  102  136  141  161   155   137    80   106\n",
      "[20,]    5    7   25   83  126  145  163  157  147   128    48    81    76\n",
      "[21,]    7   25   99  138  155  162  139  111   73    48    67    57    86\n",
      "[22,]   20   96  155  158  151  138  113   52   21    38    51    72    59\n",
      "[23,]   85  149  154  153  131  119   32   16   23    59    57    64    89\n",
      "[24,]  139  154  145   98   80   75   27   37   40    52    53    26    68\n",
      "[25,]  157  147  109   63   43   24   38   30   90   100    44    41    20\n",
      "[26,]  148  148   75   57   22   39   74   89   82    57    56    17    23\n",
      "[27,]  151  131  102   61   46   37   56   97  102    57    34    24    17\n",
      "[28,]  143  123  123   51   28   46   55   83   88    58    25    22    16\n",
      "[29,]  145  130  101  108   48   68   81   85   61    31    13    14    11\n",
      "[30,]  143  129  123  104   73   79   83   60   53    34    21    15    10\n",
      "[31,]  136  126  108   89   93   90   74   65   55    36    28    13     9\n",
      "[32,]  137  122  103  113   97   97   90   60   55    40    20    11    10\n",
      "[33,]  135  111   99  118  104   82   72   53   48    37    17    12    11\n",
      "[34,]  133  124  101  105   93   74   69   68   54    41    20    12    10\n",
      "[35,]  129  122   87   85   85   73   78   74   62    47    27    12    11\n",
      "[36,]  127  125   82   83   84   88   91   80   72    57    35    14    15\n",
      "[37,]  123  123   87   86   93   91   93   80   69    46    26    14    13\n",
      "[38,]  107  127  100   81   69   73   87   90   68    51    22    18    13\n",
      "[39,]   87  119  103   65   91   73   88   84   65    45    24    15    19\n",
      "[40,]   73  125  119   90   48   49   83   73   71    52    37    26    23\n",
      "[41,]   60  109  129  115   64   18   17   24   49    37    35    37    15\n",
      "[42,]   50   88  112   75   20   22   15   15   19    23    35    38    16\n",
      "[43,]   40   66  116   93   24   14   14   15   14    28    42    39    26\n",
      "[44,]   27   46  107  109   86   12   13   15   23    40    45    33    23\n",
      "[45,]   13   24   81  105   92   36   17   25   38    55    64    43    32\n",
      "[46,]   18   20   38  102   91   63   31   34   56    62    72    54    37\n",
      "[47,]   52   14   28   83   88   72   55   61   74    37    78    68    43\n",
      "[48,]   86   23   26   52   75   67   62   66   56    47    43    64    47\n",
      "[49,]   96   50   28   44   61   59   63   55   67    64    59    39    27\n",
      "[50,]  103   71   20   38   46   54   55   58   57    61    68    58    54\n",
      "[51,]  118   87   14   31   36   51   48   48   48    55    52    43    50\n",
      "[52,]  136   90   26   19   21   31   37   37   39    39    38    39    42\n",
      "[53,]  148   84   51   32   29   27   30   26   21    24    24    21    16\n",
      "[54,]  154  101   73   65   52   34   28   29   22    19    24    24    29\n",
      "[55,]  156  103   75   71   74   50   39   45   27    32    38    41    34\n",
      "[56,]  157  106   85   68   67   65   60   51   52    45    47    46    49\n",
      "[57,]  155  104   70   60   66   67   65   62   68    54    46    50    51\n",
      "[58,]  139  101   61   40   56   59   61   63   69    66    58    54    53\n",
      "[59,]  118   89   55   24   37   51   63   62   65    58    50    47    43\n",
      "[60,]   96   82   45   12   12   24   48   52   43    35    33    33    26\n",
      "[61,]   83   75   38   10   10    9   13   22   31    22    18    18    20\n",
      "[62,]   77   52   22   10    9    9   10   10   11    12    13    14    23\n",
      "[63,]   60   48   22    9    8    9   10   10    9     9     9    10    11\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    11    12    11     9     9     9     9     8     8    17    47    83\n",
      " [2,]    12    11    10    11    10     9     9     8     8     8     8     8\n",
      " [3,]    11    12    11    12    10     9     8     9     7     8     7     7\n",
      " [4,]    12    13    12    12    10    10     8     7     7     6     7     6\n",
      " [5,]    12    12    13    12    11     9     8     7     7     7     6     6\n",
      " [6,]    12    13    14    11    10     9     9     7     6     6     6     7\n",
      " [7,]    13    11    12    12    10    10     8     7     6     7     6     6\n",
      " [8,]    11    11    12    10     9     8     7     7     6     7     6     6\n",
      " [9,]    12    10     8     8     7     6     6     6     4     4     5     4\n",
      "[10,]     9     8     6     5     4     4     4     4     5     4     4     5\n",
      "[11,]     7     6     4     4     4     5     5     6     7     7    16    30\n",
      "[12,]     4     5     5     7     8     5    23    48    55    75    74    71\n",
      "[13,]     6     7     8    29    58    83    95   111   101   110   107    88\n",
      "[14,]    26    37    79   103   132   140   138   122   102    91    68    50\n",
      "[15,]    93   115   125   151   142   131   119   105    77    48    30    21\n",
      "[16,]   127   150   143   130   127   115   101    68    35    18    17    18\n",
      "[17,]   123   105   118   118   110   101    82    29    17    17    16    18\n",
      "[18,]   120    68    61    94    85    91    40    17    18    23    21    29\n",
      "[19,]    92    46    33    81    73    29    15    15    26    29    38    47\n",
      "[20,]    92    78    73    63    41    29    22    23    38    32    53    58\n",
      "[21,]   104    83    71    56    41    24    24    50    38    66    67    64\n",
      "[22,]    84    60    50    44    23    15    42    54    66    68    61    65\n",
      "[23,]    62    49    40    20    15    10    61    73    61    50    46    41\n",
      "[24,]    31    32    18     9     8     7    73    67    49    38    29    36\n",
      "[25,]    23    19     7     9     7     7    82    60    37    50    75    66\n",
      "[26,]    19    11     8     7     6    10    59    61    84    97    86    54\n",
      "[27,]    13     8     8     8     8    10    42    45    86   128   137    98\n",
      "[28,]    10     7     8     8    10    10    25    42    61   124   116   101\n",
      "[29,]    10     8     8     9     9     7    17    37    36    62    99   123\n",
      "[30,]     9     7     9    10     9     8    15    41    41    37    38    40\n",
      "[31,]     9    10     9     8     7     7    19    37    44    48    42    36\n",
      "[32,]    10     9    10     8     8     8     9    10    20    33    33    33\n",
      "[33,]    11     9     9     9     9     9     9     9     7     9     9    21\n",
      "[34,]    11     9     9     9    10    10    12    10     9    10    10     9\n",
      "[35,]    12    11     9     9    16    12     9    13    10    12    18    19\n",
      "[36,]    14    10     9    10    12    10    12    10    11    18    45    64\n",
      "[37,]    14    10    11    11    14    10    11    11    19    42    57    49\n",
      "[38,]    14    11    11    11    11    10    10    16    35    51    49    30\n",
      "[39,]    17    12    13    11    11    12    16    26    55    52    61    52\n",
      "[40,]    12    12    11    11    11    12    14    46    47    46    47    46\n",
      "[41,]    12    13    21    13    14    12    23    49    41    45    46    46\n",
      "[42,]    16    29    20    12    12    14    37    43    47    43    48    39\n",
      "[43,]    15    21    13    12    12    16    38    46    43    40    38    36\n",
      "[44,]    13    15    13    12    13    14    36    42    40    42    41    42\n",
      "[45,]    16    14    13    12    12    15    34    43    41    40    42    41\n",
      "[46,]    17    14    13    15    13    16    32    41    35    40    46    43\n",
      "[47,]    17    13    15    14    14    17    28    34    35    45    45    34\n",
      "[48,]    20    16    13    15    16    23    37    38    34    34    29    33\n",
      "[49,]    27    18    15    17    17    23    40    41    47    47    45    43\n",
      "[50,]    29    15    21    16    20    20    38    30    37    42    40    40\n",
      "[51,]    43    18    20    19    17    21    39    40    24    38    47    41\n",
      "[52,]    33    20    30    21    17    18    23    27    25    25    35    45\n",
      "[53,]    21    19    22    35    31    19    19    19    15    20    28    35\n",
      "[54,]    18    21    14    17    40    36    25    18    19    18    16    17\n",
      "[55,]    29    24    16    17    15    15    29    27    19    18    15    28\n",
      "[56,]    35    28    24    20    18    13    17    17    18    15    13    19\n",
      "[57,]    43    31    25    22    17    17    14    15    15    14    13    23\n",
      "[58,]    49    37    29    18    17    18    17    16    13    12    27    19\n",
      "[59,]    40    34    28    18    17    15    14    14    13    15    12    16\n",
      "[60,]    26    23    26    24    26    22    18    17    11    13    12    12\n",
      "[61,]    23    24    28    39    54    54    63    59    43    20    12    11\n",
      "[62,]    31    31    34    40    48    58    75    76    78    76    55    25\n",
      "[63,]    12    18    29    35    35    41    55    81    96    88    86    83\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]   101   118   130   150   150   150   144   153   157   158   151   164\n",
      " [2,]    20    40    67    97   114   123   131   137   135   135   141   137\n",
      " [3,]     7     7     7     9    25    44    81   109   132   147   150   156\n",
      " [4,]     7     7     6     7     9     9     9     9     6     8    18    22\n",
      " [5,]     5     6     6     6     5     6     6     6     7     7     7     8\n",
      " [6,]     5     6     6     6     6     6     6     7     6     6     6     6\n",
      " [7,]     6     6     5     5     6     6     6     6     6     6     6     6\n",
      " [8,]     6     5     4     7     9    12     7     5     8     9    11    19\n",
      " [9,]     4     5     5     5     8     8    10     9    20    38    37    32\n",
      "[10,]     7     6     6     8    10    13    17    49    56    45    33    23\n",
      "[11,]    41    41    45    31    24    22    55    80    83    65    33    31\n",
      "[12,]    71    61    54    49    45    46    73    89    80    38    81    76\n",
      "[13,]    74    56    31    22    22    22    39    47    18    41    52    61\n",
      "[14,]    28    20    18    19    17    16    22    16    17    19    29    21\n",
      "[15,]    18    23    25    16    17    21    19    15    22    23    25    21\n",
      "[16,]    18    28    29    26    18    21    23    19    31    33    40    43\n",
      "[17,]    22    20    23    28    31    32    24    34    41    51    54    58\n",
      "[18,]    31    34    41    56    63    56    56    54    59    63    68    71\n",
      "[19,]    55    57    53    54    63    83    90    77    65    84    84    76\n",
      "[20,]    59    69    81    72    95    69    74   119    91   111   101    75\n",
      "[21,]    74    94    81    82    53    65    78   104   104   114    98    62\n",
      "[22,]    66    75    93    92    95    84    91    96   106   103    48    29\n",
      "[23,]    34    40    46    72    93    83    84    94    94    48    32    18\n",
      "[24,]    32    26    25    44    67    56    34    45    37    23    19     7\n",
      "[25,]    76    52    31    29    53    76    74    35    28    16     9     6\n",
      "[26,]    59    85    78    25    39    36    78    42    15     7     7     7\n",
      "[27,]    90    97    80    45    88   104    15    26    11     7     8     8\n",
      "[28,]   107   122    66    53    95     8     8     9     8     7     8     8\n",
      "[29,]    87    70    23    53    10     8     8     7     7     8     9     9\n",
      "[30,]    32    26    30     9     7     8     9     8     8     8     9    11\n",
      "[31,]    41    37    12    12     8     9     9     9     9     9     9     9\n",
      "[32,]    68    14    13    10     9     9    10     9    10    11     8    10\n",
      "[33,]    13    15    12    10     9     9    10    10    11     9    10     9\n",
      "[34,]    12    30    29    27    24    20    14    16    21    15    15    15\n",
      "[35,]    67    51    47    42    31    26    20    30    30    26    14    29\n",
      "[36,]    59    51    51    36    31    34    34    30    30    31    33    38\n",
      "[37,]    37    43    41    33    34    43    28    26    18    24    28    34\n",
      "[38,]    24    40    39    33    36    23    19    22    16    15    12    17\n",
      "[39,]    33    35    38    34    33    19    18    15    15    15    15    13\n",
      "[40,]    34    36    38    33    24    21    23    17    14    20    19    27\n",
      "[41,]    45    38    38    37    39    30    23    31    16    21    31    32\n",
      "[42,]    45    39    39    37    43    35    25    26    21    33    34    31\n",
      "[43,]    35    37    36    36    22    17    13    29    32    33    36    21\n",
      "[44,]    36    36    32    28    16    15    25    29    26    23    22    19\n",
      "[45,]    39    37    37    33    22    25    20    30    21    20    20    20\n",
      "[46,]    41    40    39    36    26    20    19    29    27    22    17    20\n",
      "[47,]    39    36    19    24    21    25    29    30    27    20    31    28\n",
      "[48,]    33    29    26    28    24    35    39    36    37    25    26    30\n",
      "[49,]    35    29    31    30    31    40    35    36    34    30    30    36\n",
      "[50,]    32    31    26    31    44    34    32    33    31    34    36    35\n",
      "[51,]    34    33    33    39    34    39    38    39    45    39    39    36\n",
      "[52,]    42    40    37    34    40    42    47    44    41    34    27    26\n",
      "[53,]    26    40    36    30    31    23    22    18    22    27    16    24\n",
      "[54,]    23    13    21    20    26    29    33    32    32    15    59    34\n",
      "[55,]    26    35    33    39    36    35    34    36    35    39    19    32\n",
      "[56,]    19    27    33    32    33    33    35    37    35    36    33    20\n",
      "[57,]    12    17    18    28    31    32    33    32    36    36    36    34\n",
      "[58,]    45    21    17    13    21    32    33    34    36    33    34    34\n",
      "[59,]    40    67    39    22    13    22    32    33    35    34    34    36\n",
      "[60,]    10    25    73    70    45    21    15    23    32    37    36    36\n",
      "[61,]    10    11    10    22    79    91    65    17    14    18    23    20\n",
      "[62,]    16    10    10    10     9     8    51    63    38    27    12     9\n",
      "[63,]    78    39    20    11    10    17    28    11    12    37    54    50\n",
      "[64,]     0    45    51    61    45    11     8     9    11    19    23    19\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   149   148   158   164   157   137   159   156   157   151   161   180\n",
      " [2,]   135   138   146   138   141   146   150   152   159   164   178   171\n",
      " [3,]   155   157   158   158   159   165   160   152   113    50    25    16\n",
      " [4,]    37    41    53    37    18    13    12    11    13    11     7     6\n",
      " [5,]     9     9    10    10     8     6     6     5     6     6     5     6\n",
      " [6,]     6     6     6     6     6     6     6     6     6     6     6     5\n",
      " [7,]     8     8     9     8     9    10     9    10     9    12    10     7\n",
      " [8,]    28    32    36    38    34    30    23    25    24    35    24    10\n",
      " [9,]    29    29    24    26    25    27    29    34    47    73    80    74\n",
      "[10,]    23    27    34    39    38    27    35    72    86   108   104   113\n",
      "[11,]    36    33    34    29    19    32    49    69    96   100   120   131\n",
      "[12,]    49    33    23    13    16    23    34    40    41    45    52    64\n",
      "[13,]    52    27    17    16    16    13    10    11    11    11    11     9\n",
      "[14,]    19    23    15    19    15    11    12    13    13    15    17    12\n",
      "[15,]    23    18    10     9    19    16    18    15    14    13    10    15\n",
      "[16,]    28    27    31    18    12    36    47    55    62    60    26    14\n",
      "[17,]    54    39    41    36    28    64    58    78    77    67    67    74\n",
      "[18,]    72    67    59    18    20    16    16    19    33    38    39    43\n",
      "[19,]    89    77    26    14    11     7     5     5     6     5     5     6\n",
      "[20,]    97    31    10     5     5     4     4     4     4     4     4     5\n",
      "[21,]    28     6     6     5     5     5     5     5     4     5     5     5\n",
      "[22,]     9     5     5     5     5     5     5     5     4     5     4     5\n",
      "[23,]     6     6     5     6     6     7     7     7     7     7     7     8\n",
      "[24,]     6     6     5     6     7     8    10     9     9    10     9     9\n",
      "[25,]     7     6     8     8     9     9    10    10    10    11    10    10\n",
      "[26,]     7     8     9    10    11    11    10    11    10    10    10    11\n",
      "[27,]     9     9    11    11    10     9     9    11    10    10     9     9\n",
      "[28,]     8     9    10    10    10    10    10    10     9     9    10    11\n",
      "[29,]    10    10     9    10    10    10     9     9     9    10    10    11\n",
      "[30,]    10     8     9     9     9     9    10    10     9    10    10     8\n",
      "[31,]    10    10    10     9    10    10    12    10    10    10    10     9\n",
      "[32,]     9    10    10    10     8     9     9     9    10     9    10     9\n",
      "[33,]     9     9    10    10     9     9     9     9    10     9    10     9\n",
      "[34,]    19    17    21    16    13    11    12    13    12    12    17    19\n",
      "[35,]    27    17    26    47    31    25    23    23    14    17    21    28\n",
      "[36,]    30    24    33    47    43    41    25    35    41    49    20    15\n",
      "[37,]    30    28    26    28    30    38    39    38    37    19    24    29\n",
      "[38,]    24    31    27    26    28    31    36    41    39    17    21    33\n",
      "[39,]    17    19    20    22    21    34    37    35    38    31    21    17\n",
      "[40,]    25    18    16    19    29    31    30    31    15    39    41    43\n",
      "[41,]    34    27    20    28    32    32    32    38    46    36    30    18\n",
      "[42,]    30    30    25    30    36    39    36    18    32    33    50    47\n",
      "[43,]    21    24    32    36    37    39    12    44    34    35    32    25\n",
      "[44,]    23    25    32    38    34    14    28    45    36    34    29    21\n",
      "[45,]    20    17    21    41    21    25    34    49    54    42    37    21\n",
      "[46,]    23    23    27    30    24    20    37    48    53    46    49    34\n",
      "[47,]    31    31    39    24    22    17    36    35    50    47    41    32\n",
      "[48,]    42    37    29    18    27    19    24    28    47    50    48    38\n",
      "[49,]    41    34    19    22    26    20    14    12    21    19    16    11\n",
      "[50,]    36    26    19    42    31    19    17    13    28    42    43    40\n",
      "[51,]    28    18    45    51    35    15    28    38    38    34    34    35\n",
      "[52,]    53    46    36    57    40    20    37    38    33    30    32    34\n",
      "[53,]    24    19    46    54    38    28    45    33    30    29    30    34\n",
      "[54,]    22    26    54    56    40    38    44    43    36    30    33    51\n",
      "[55,]    19    33    55    55    28    43    39    39    34    35    43    37\n",
      "[56,]    24    45    57    57    23    40    37    37    38    35    41    44\n",
      "[57,]    34    35    17    58    29    42    40    40    37    40    38    36\n",
      "[58,]    35    35    36    19    25    39    40    43    39    38    38    36\n",
      "[59,]    36    35    39    30    34    36    41    40    43    40    39    39\n",
      "[60,]    36    32    35    24    63    18    36    40    41    43    43    41\n",
      "[61,]    15    25    30    52    50    47    33    23    42    41    29    41\n",
      "[62,]    10    22    29    48    70    79    68    39    31    55    52    42\n",
      "[63,]    42    21    10    14    16    14     9    10    12    12    15    31\n",
      "[64,]    20    16    17    21    22    27    32    26    17    14    22    26\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   187   209   167   120    27    20    18     9     6     7     6     8\n",
      " [2,]    97    34    11    13     8     7     6     6     6     7     8     9\n",
      " [3,]    14    11     6     5     6     6     6     5     6     6     7     8\n",
      " [4,]     6     5     6     6     5     5     6     6     6     5     7     8\n",
      " [5,]     6     5     6     5     5     5     5     5     5     6     6     7\n",
      " [6,]     6     5     5     4     4     4     5     5     5     6     6     6\n",
      " [7,]     4     4     4     4     4     4     4     5     4     4     5     5\n",
      " [8,]     8     8     6     5     5     4     4     4     4     4     4     4\n",
      " [9,]    56    42    28    16    11     7     6     5     6     8     7     7\n",
      "[10,]   105    92    80    80    80    78    67    71    57    41    25    16\n",
      "[11,]   149   149   149   142   133   131   121    86    45    26    43    65\n",
      "[12,]    82    97   105   108   119   118   101    75    28    39    67    91\n",
      "[13,]    11    15    18    25    35    40    35    26    21    45    75    94\n",
      "[14,]    12    10    10    10    10    10    10    17    40    55    68    81\n",
      "[15,]    16    15    14    18    17    15    17    16    22    27    31    46\n",
      "[16,]    14    12     9     9    10    10    12    11    13    19    29    39\n",
      "[17,]    55    34    28    21    13     8     7     8    13    24    36    43\n",
      "[18,]    46    50    37    29    28    30    40    37    13    44    70    84\n",
      "[19,]     7     8    17    27    31    29    29    24    19    54    72    80\n",
      "[20,]     6     5     5     4     6    12    19    21    30    45    50    69\n",
      "[21,]     4     4     5     4     4     5     8    13    50    65    67    63\n",
      "[22,]     5     5     5     5     4     4     5     8    19    42    46    64\n",
      "[23,]     8     7     7     6     5     5     4     5    10    19    22    50\n",
      "[24,]     9     9     7     7     6     6     5     6     9    17    12    41\n",
      "[25,]     9     8     9     7     7     6     6     5     7     9    17    31\n",
      "[26,]    10    11     8     8     8     8     8     7     7    12    12    12\n",
      "[27,]     9    10     9     9     8     8     8     7     6    17    11     9\n",
      "[28,]    10     9     9     8     8     8     8     8     8    20    11    10\n",
      "[29,]     9    10    10     9     8     8     8     8    11    30    16    18\n",
      "[30,]    10     8     9     8     9     9     8     8    22    46    34    15\n",
      "[31,]     9     9     9     9     8     9     8     9    32    69    35    17\n",
      "[32,]     9     9     9     9     9     8     9    24    61    86    23    11\n",
      "[33,]     9     9     8    10     8     9    28    35    69    54    21     9\n",
      "[34,]    19    15    15    10    16    34    26    23    46    35    15    28\n",
      "[35,]    30    34    18    15    72    14    14    17    23    28    27    11\n",
      "[36,]    11    16    14    54    31    19    24    23    15    19    20    16\n",
      "[37,]    31    27    28    24    26    29    21    25    48    29    52    47\n",
      "[38,]    38    25    17    27    27    15    13    23    43    32    20    10\n",
      "[39,]    21    12    19    13    12    19    45    34    17    21    12    23\n",
      "[40,]    31    16    33    21    16    17    12    15    15    13    11    15\n",
      "[41,]    17    19    34    27    27    14    13    19    16    11    17    34\n",
      "[42,]    23    35    22    15    10    12    18    24    26    22    16    19\n",
      "[43,]    13    25    12    26    28    24    29    29    24    13    12    15\n",
      "[44,]    15    17    33    28    25    28    27    28    29    22    20    19\n",
      "[45,]    25    33    33    28    24    26    26    19    13    18    20    20\n",
      "[46,]    32    33    28    29    30    32    30    11    21    33    40    22\n",
      "[47,]    32    29    34    31    31    30    25    17    30    27    14    13\n",
      "[48,]    32    24    24    18    20    23    13    31    17    17    12    10\n",
      "[49,]    13    19    32    15    13    51    42    33    34    15    12    10\n",
      "[50,]    34    40    28    17    69    69    32    14    26    12    12    16\n",
      "[51,]    31    44    45    38    46    56    26    29    30    19    15    17\n",
      "[52,]    31    61    55    60    54    43    35    35    22    19    17    17\n",
      "[53,]    52    70    62    45    40    41    45    35    24    19    18    21\n",
      "[54,]    69    62    53    42    37    34    49    35    22    18    17    33\n",
      "[55,]    47    48    43    34    36    37    55    39    23    22    23    23\n",
      "[56,]    34    32    36    37    35    44    52    43    18    15    17    11\n",
      "[57,]    37    36    39    39    41    49    45    21    13    12    17     8\n",
      "[58,]    33    39    39    41    50    61    39    15    14    10     7     8\n",
      "[59,]    39    41    45    47    56    34    26    13     8     6     7    10\n",
      "[60,]    42    37    47    46    69    40    14     8     6     5     9    12\n",
      "[61,]    48    45    34    24    24    22    17    10     7     7    11    13\n",
      "[62,]    32    21    24    26    23    18    12     6     5     6    12    13\n",
      "[63,]    21    23    24    24    19    17    10     7     6     8    14    11\n",
      "[64,]    28    23    22    21    21    16     8     6     4     6    11    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]    10    10    13\n",
      " [2,]    11    12    12\n",
      " [3,]     9    11    12\n",
      " [4,]     9    11    12\n",
      " [5,]     9    10    12\n",
      " [6,]     7     8    10\n",
      " [7,]     6     7     8\n",
      " [8,]     4     4     5\n",
      " [9,]     7     5     4\n",
      "[10,]    11     8    22\n",
      "[11,]    96   130   166\n",
      "[12,]   125   180   205\n",
      "[13,]   134   168   172\n",
      "[14,]    97   119   153\n",
      "[15,]    59    76   102\n",
      "[16,]    51    54    65\n",
      "[17,]    56    56    53\n",
      "[18,]    85    83    75\n",
      "[19,]    87    90    88\n",
      "[20,]    70    63    71\n",
      "[21,]    59    48    59\n",
      "[22,]    80    69    56\n",
      "[23,]    75    80    51\n",
      "[24,]    49    48    44\n",
      "[25,]    30    23    23\n",
      "[26,]    18    15    10\n",
      "[27,]    11     8     6\n",
      "[28,]    15    14     7\n",
      "[29,]    11    16    17\n",
      "[30,]    10    15    20\n",
      "[31,]     9     9    14\n",
      "[32,]    11    23    19\n",
      "[33,]    28    35    31\n",
      "[34,]    23    27    31\n",
      "[35,]    17    38    45\n",
      "[36,]    26    60    76\n",
      "[37,]    31    22    28\n",
      "[38,]    15    27    28\n",
      "[39,]    27    28    26\n",
      "[40,]    17    19    16\n",
      "[41,]    62    86    75\n",
      "[42,]    59    87    68\n",
      "[43,]    12     7     6\n",
      "[44,]    11    11    12\n",
      "[45,]    13    11    13\n",
      "[46,]    10    11    16\n",
      "[47,]     9    12    14\n",
      "[48,]    12    13    17\n",
      "[49,]    13    16    18\n",
      "[50,]    23    18    17\n",
      "[51,]    25    48    56\n",
      "[52,]    22    36    65\n",
      "[53,]    32    35    39\n",
      "[54,]    38    26    37\n",
      "[55,]    12    14    32\n",
      "[56,]    13    23    12\n",
      "[57,]     9    13    11\n",
      "[58,]    12     9    11\n",
      "[59,]    13    13    15\n",
      "[60,]    14    16    17\n",
      "[61,]    14    17    17\n",
      "[62,]    17    17    18\n",
      "[63,]    12    21    24\n",
      "[64,]    10    10    23\n",
      "\n",
      ", , 17, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   11   10   10   11   11   11   11   11   11    12    12    10    12\n",
      " [2,]   11   12   11   12   12   12   12   13   11    12    11    12    11\n",
      " [3,]   12   11   11   11   11   12   12   12   11    13    10    12    12\n",
      " [4,]   12   11   12   10   12   12   11   12   12    13    10    11    13\n",
      " [5,]   12   12   11   12   12   12   12   11   11    11    13    12    11\n",
      " [6,]   12   11   11   12   11   12   12   12   13    13    12    12    11\n",
      " [7,]   13   12   11   11   11   13   12   10   12    11    12    11    12\n",
      " [8,]   11   11   11   12   12   11   13   11   12    12    12    11    11\n",
      " [9,]   13   11   12   11   11   12   12   12   13    11    11    11    11\n",
      "[10,]   12   12   11   12   11   12   12   12   11    11    12     9    10\n",
      "[11,]   12   13   11   12   13   12   11   11   10     9     8     7     7\n",
      "[12,]   11   12   12   12   11   12   10    9    8     7     5     5     4\n",
      "[13,]   11   12   12   11   10    9    8    7    7     5     5     4     4\n",
      "[14,]   12   12   12    9    8    7    5    5    5     5     5     7     7\n",
      "[15,]   11   11    9    8    6    6    5    5    5     6     9    32    60\n",
      "[16,]   10    9    7    6    5    5    5    6   11    43    73   100   121\n",
      "[17,]    9    8    5    5    5    6   10   41   71   102   116   138   128\n",
      "[18,]    6    5    5    6    5   40   72  102  133   143   156   122   103\n",
      "[19,]    5    6    6   16   65  103  137  140  159   155   135    78   104\n",
      "[20,]    5    6   27   84  124  145  161  155  146   127    48    81    75\n",
      "[21,]    7   26   97  137  152  158  137  105   70    50    64    54    86\n",
      "[22,]   19   95  154  157  149  136  111   52   22    38    53    73    60\n",
      "[23,]   86  152  152  151  132  117   32   16   24    60    56    62    89\n",
      "[24,]  140  153  145   96   79   74   26   37   41    52    52    26    67\n",
      "[25,]  155  145  108   61   41   21   35   28   88    98    43    39    22\n",
      "[26,]  149  146   73   58   22   38   75   89   82    58    57    17    22\n",
      "[27,]  150  130  102   60   44   38   57   95  101    57    32    23    17\n",
      "[28,]  144  123  122   51   29   43   56   84   88    56    25    22    15\n",
      "[29,]  144  127  100  104   46   68   80   83   58    29    13    14    11\n",
      "[30,]  142  129  122  102   72   79   84   61   52    33    20    15     9\n",
      "[31,]  139  124  108   90   92   89   72   65   53    35    26    12     8\n",
      "[32,]  134  120  103  110   95   98   87   62   54    37    20    11    10\n",
      "[33,]  134  111   98  117  105   78   73   54   47    34    18    12    10\n",
      "[34,]  132  122  100  104   96   75   68   63   50    40    20    11    11\n",
      "[35,]  127  121   87   84   85   78   76   72   61    46    28    12    10\n",
      "[36,]  129  120   81   85   84   88   91   80   71    55    34    14    13\n",
      "[37,]  122  122   86   86   92   92   94   78   67    49    27    12    15\n",
      "[38,]  107  124  100   78   69   73   87   90   68    50    18    21    14\n",
      "[39,]   83  120  105   69   91   69   88   84   66    45    26    14    17\n",
      "[40,]   71  124  119   92   50   49   83   75   69    50    36    27    20\n",
      "[41,]   64  109  128  114   59   20   15   26   49    37    31    34    17\n",
      "[42,]   53   89  103   79   25   18   14   15   15    21    34    36    18\n",
      "[43,]   38   64  119   93   22   14   14   17   15    25    44    38    23\n",
      "[44,]   26   45  108  108   82   14   13   16   24    41    43    33    23\n",
      "[45,]   13   26   78  105   94   36   16   24   36    52    65    47    31\n",
      "[46,]   17   18   38  101   90   60   28   32   53    62    73    55    34\n",
      "[47,]   55   15   26   83   90   71   56   58   70    36    77    64    37\n",
      "[48,]   82   21   25   52   79   66   61   62   56    47    46    61    46\n",
      "[49,]   90   49   27   45   67   58   65   51   62    60    54    38    24\n",
      "[50,]  101   69   22   42   45   58   51   59   56    64    66    53    54\n",
      "[51,]  113   84   13   30   32   47   46   45   50    55    52    46    48\n",
      "[52,]  132   89   23   24   23   32   38   38   37    37    36    38    41\n",
      "[53,]  148   90   51   36   30   26   30   25   22    26    24    17    19\n",
      "[54,]  153   99   75   65   49   32   30   27   21    19    22    24    29\n",
      "[55,]  151  101   74   68   72   46   39   45   26    31    34    39    38\n",
      "[56,]  159  106   80   67   72   69   59   49   48    44    44    49    44\n",
      "[57,]  154  100   72   60   66   67   64   62   65    55    46    47    46\n",
      "[58,]  137  101   62   42   56   59   62   66   70    64    57    52    54\n",
      "[59,]  117   88   54   22   33   49   58   59   64    54    51    47    39\n",
      "[60,]   95   82   43   12   12   26   48   48   45    33    34    30    27\n",
      "[61,]   80   74   35    9    9   12   14   23   34    22    17    18    20\n",
      "[62,]   71   49   24   10    8    9    9   10   11    11    12    12    23\n",
      "[63,]   61   44   22   10    8   10    8   10    9    10     9    10    11\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    11    11    11    10    10    10     9     9     8    21    50    85\n",
      " [2,]    12    12    11    10    10     9     8     8     8     7     9     7\n",
      " [3,]    12    13    12    11    11    11    10     8     8     7     7     6\n",
      " [4,]    14    12    12    12    10    10     8     7     6     7     6     6\n",
      " [5,]    12    13    11    12    11     9     8     7     7     7     6     6\n",
      " [6,]    11    13    13    11     9     9     9     7     7     6     6     7\n",
      " [7,]    12    12    11    11    10     9     7     8     6     6     6     5\n",
      " [8,]    12    12    10    10     8     8     7     7     6     6     6     6\n",
      " [9,]    10     9     9     7     7     6     5     5     5     5     5     4\n",
      "[10,]    11     8     6     5     5     4     4     4     4     5     4     6\n",
      "[11,]     7     5     5     4     4     5     5     8     7     6    17    30\n",
      "[12,]     5     4     5     6     9     6    23    49    56    75    74    72\n",
      "[13,]     6     7     8    28    59    83    93   108   101   111   106    87\n",
      "[14,]    25    38    79   105   132   138   137   122   101    90    67    47\n",
      "[15,]    93   115   125   150   140   131   120   104    76    47    30    22\n",
      "[16,]   126   149   143   129   128   115   102    68    34    16    16    18\n",
      "[17,]   121   103   119   119   108   100    80    28    16    16    17    19\n",
      "[18,]   118    66    61    94    84    91    40    16    20    25    19    26\n",
      "[19,]    94    45    36    81    72    30    14    16    26    29    37    51\n",
      "[20,]    92    76    73    64    42    30    21    25    36    32    54    59\n",
      "[21,]   104    81    71    56    42    24    23    51    43    70    66    63\n",
      "[22,]    84    59    49    44    22    16    48    55    66    66    59    66\n",
      "[23,]    62    47    40    20    17    11    62    74    61    49    43    42\n",
      "[24,]    34    29    18     9     9     9    75    65    48    38    29    33\n",
      "[25,]    24    19    10     9     8    11    82    55    35    57    73    51\n",
      "[26,]    18    11     8     8     7    13    69    57    69    87    81    63\n",
      "[27,]    12     9     9     7     8    13    49    49    84   130   134   103\n",
      "[28,]     9     7     8     8     9    11    34    42    69   128   125   101\n",
      "[29,]     8     8     8     9     9     8    26    36    40    90   126   122\n",
      "[30,]     9     9     8     9     8     8    23    40    39    38    34    68\n",
      "[31,]    10     9     9     8     9     8    28    41    41    43    38    33\n",
      "[32,]    10    10     9     8     8     9     9    20    32    39    35    39\n",
      "[33,]    10     9    10     8     8     9     9     9     8     9    10    45\n",
      "[34,]    10     9    10     9     9     9    18    12     8     9    10    11\n",
      "[35,]    12    11    11    11    14    12    10    10    10    13    20    19\n",
      "[36,]    13    12     9    10    11     9    11    10    11    21    45    63\n",
      "[37,]    12    11    10    10    11    10    11    10    22    39    52    51\n",
      "[38,]    12    10    10    11     9    12    11    13    35    44    44    30\n",
      "[39,]    15    12    11    12    10    12    16    29    47    47    55    52\n",
      "[40,]    12    13    11    13    10    12    15    44    44    46    46    43\n",
      "[41,]    13    13    21    14    12    12    24    51    46    43    43    43\n",
      "[42,]    13    25    23    11    10    12    32    43    43    41    45    42\n",
      "[43,]    16    20    13    13    12    14    37    42    45    40    39    38\n",
      "[44,]    13    15    12    13    13    13    35    44    40    40    40    43\n",
      "[45,]    17    14    13    13    12    15    38    38    41    39    37    43\n",
      "[46,]    17    14    11    15    13    16    33    42    35    38    45    38\n",
      "[47,]    16    12    15    16    14    18    29    34    37    46    49    35\n",
      "[48,]    22    15    15    13    16    20    39    41    39    36    29    37\n",
      "[49,]    25    17    14    17    16    21    36    39    42    47    48    44\n",
      "[50,]    30    18    21    16    17    22    39    35    37    44    42    41\n",
      "[51,]    40    19    22    17    16    18    39    41    26    37    45    40\n",
      "[52,]    34    19    30    26    18    17    25    26    22    26    38    45\n",
      "[53,]    20    18    21    34    29    18    21    19    18    19    26    35\n",
      "[54,]    18    17    13    13    41    35    24    19    18    19    13    16\n",
      "[55,]    30    24    16    18    15    19    25    24    20    16    12    26\n",
      "[56,]    33    24    20    17    18    14    16    17    18    15    15    17\n",
      "[57,]    40    30    24    23    19    17    13    12    14    16    14    23\n",
      "[58,]    45    36    28    18    16    16    16    15    14    10    28    18\n",
      "[59,]    41    37    31    19    18    15    13    14    13    15    13    14\n",
      "[60,]    26    24    20    22    26    21    18    17    12    12    12    13\n",
      "[61,]    26    23    29    39    52    54    61    60    43    19    11    12\n",
      "[62,]    31    34    37    40    48    58    71    76    76    75    54    24\n",
      "[63,]    12    20    33    35    33    43    58    76    97    88    85    84\n",
      "[64,]     0     0     0     0     1     1     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]    99   119   132   148   151   152   145   153   156   156   151   162\n",
      " [2,]    20    41    67    95   113   122   128   134   133   134   139   137\n",
      " [3,]     7     7     7    12    27    45    82   107   132   145   147   154\n",
      " [4,]     6     6     6     6     7     8     9     7     6    10    18    22\n",
      " [5,]     6     6     6     5     6     6     6     6     6     8     8     9\n",
      " [6,]     6     6     5     5     6     5     6     6     6     6     6     6\n",
      " [7,]     5     5     5     5     6     5     6     6     6     5     6     7\n",
      " [8,]     5     5     5     7     9    13     7     5     7     9    11    19\n",
      " [9,]     5     4     5     5     9     9     9     9    21    39    36    32\n",
      "[10,]     6     7     6     8    11    13    16    49    56    45    33    23\n",
      "[11,]    40    41    45    31    25    23    55    80    80    65    32    31\n",
      "[12,]    71    61    55    49    46    45    71    87    80    38    83    75\n",
      "[13,]    74    55    31    22    22    23    38    45    18    42    53    61\n",
      "[14,]    27    20    18    19    18    16    23    14    17    18    29    20\n",
      "[15,]    19    24    24    18    16    22    19    15    22    23    24    21\n",
      "[16,]    19    27    27    27    17    20    21    18    30    35    42    43\n",
      "[17,]    21    17    21    26    30    31    24    31    37    49    53    59\n",
      "[18,]    28    36    46    58    65    61    58    54    59    64    67    73\n",
      "[19,]    58    60    53    56    62    79    80    72    67    90    84    78\n",
      "[20,]    60    78    84    79    82    82    95   116    89   108   103    76\n",
      "[21,]    77    72    83    78    51    68    83   109   107   121   112    61\n",
      "[22,]    75    78    69    84    75    82   108   109   112   112    46    30\n",
      "[23,]    36    52    70    90    93    90    91   104   110    60    31    18\n",
      "[24,]    30    31    31    52    60    55    62    65    40    20    18     7\n",
      "[25,]    58    38    29    38    60    74    65    30    21    15    10     7\n",
      "[26,]    67    65    35    26    36    25    51    57    14     7     7     7\n",
      "[27,]    80    81    64    39    66    97    30    23    12     6     7     7\n",
      "[28,]    97   105    66    50   100    12    10    10     7     7     8     7\n",
      "[29,]    93    74    22    55    12     7     7     8     8     8     8     9\n",
      "[30,]    42    25    28     9    10     8     8     8     9     9     8    10\n",
      "[31,]    33    34     9    13     8     8     8     9    10     9     9    10\n",
      "[32,]    63    11    14     9     9     9     9    11    10    10    10    10\n",
      "[33,]     7    16    11    10    10    10    10    10    11    10    10    10\n",
      "[34,]    13    26    29    23    23    23    13    13    23    14    13    15\n",
      "[35,]    64    51    45    43    33    25    24    26    29    26    16    24\n",
      "[36,]    55    49    49    36    30    30    33    30    30    32    31    39\n",
      "[37,]    35    44    40    35    29    40    30    27    20    22    27    38\n",
      "[38,]    25    40    40    27    33    24    20    19    14    12    14    17\n",
      "[39,]    33    32    39    35    30    21    17    16    15    14    15    15\n",
      "[40,]    36    37    35    34    25    21    22    17    13    20    15    23\n",
      "[41,]    44    38    36    38    36    33    24    31    14    19    28    31\n",
      "[42,]    42    39    39    38    43    36    26    26    22    29    28    28\n",
      "[43,]    41    36    37    37    23    18    16    27    26    33    36    16\n",
      "[44,]    36    35    33    31    13    16    24    25    26    23    20    20\n",
      "[45,]    38    38    37    36    23    25    19    31    21    19    25    19\n",
      "[46,]    41    40    36    32    25    16    18    29    29    22    15    21\n",
      "[47,]    39    35    23    23    18    26    22    27    29    21    29    28\n",
      "[48,]    33    27    25    29    24    36    40    37    38    28    29    33\n",
      "[49,]    32    28    31    25    29    42    33    36    37    26    29    36\n",
      "[50,]    34    28    27    33    42    33    33    35    28    37    38    36\n",
      "[51,]    34    37    32    35    35    38    42    39    43    34    36    38\n",
      "[52,]    40    39    34    34    35    42    44    41    44    36    27    24\n",
      "[53,]    27    38    39    31    31    26    18    19    19    29    18    24\n",
      "[54,]    23    13    18    21    23    25    29    29    27    14    57    32\n",
      "[55,]    29    31    37    38    30    33    34    32    36    38    21    37\n",
      "[56,]    17    27    30    36    36    34    35    36    35    36    36    24\n",
      "[57,]    12    16    18    28    31    32    33    33    34    36    34    32\n",
      "[58,]    43    22    17    14    22    31    32    36    35    34    34    36\n",
      "[59,]    37    66    38    20    12    22    31    35    35    31    34    34\n",
      "[60,]     9    27    73    67    44    21    13    24    31    33    34    35\n",
      "[61,]    10    11    11    25    77    87    60    17    15    19    20    20\n",
      "[62,]    18    10     9     9     9     8    51    61    35    27    11     9\n",
      "[63,]    76    41    19    10    10    15    27    10    11    38    51    45\n",
      "[64,]     0    45    51    58    44    11     8     8    12    20    24    20\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   147   147   156   162   154   136   155   153   156   153   161   177\n",
      " [2,]   132   140   146   139   141   146   147   151   157   164   176   170\n",
      " [3,]   153   154   156   155   159   162   158   149   111    49    25    17\n",
      " [4,]    36    40    50    34    16    12    10    10    13    10     6     6\n",
      " [5,]     9     8    10     9     7     6     6     6     5     5     5     6\n",
      " [6,]     5     6     6     5     6     6     6     5     5     5     5     5\n",
      " [7,]     8     8     8     9     9     9    10    10     9    10    10     6\n",
      " [8,]    27    31    37    38    36    31    24    24    23    36    24    11\n",
      " [9,]    30    29    24    25    26    27    28    33    52    72    79    74\n",
      "[10,]    23    26    35    39    38    26    34    70    84   105   102   113\n",
      "[11,]    36    33    34    28    18    33    47    68    94    98   119   129\n",
      "[12,]    50    33    23    12    15    22    33    39    38    44    52    63\n",
      "[13,]    54    27    17    15    15    11    11    12    11    11     9    10\n",
      "[14,]    19    24    15    18    13    10    12    13    14    15    15    12\n",
      "[15,]    23    19    11    10    18    15    16    16    15    13    10    13\n",
      "[16,]    29    27    31    20    12    34    46    54    64    60    26    13\n",
      "[17,]    56    42    44    38    26    62    58    76    74    65    65    69\n",
      "[18,]    72    68    68    22    18    15    14    18    33    36    38    43\n",
      "[19,]    87    87    30    13    13     7     5     6     7     6     5     6\n",
      "[20,]    96    30     9     5     5     5     4     5     5     5     4     5\n",
      "[21,]    32     6     5     5     5     5     4     5     4     4     4     4\n",
      "[22,]    10     6     5     5     4     5     5     5     5     6     5     5\n",
      "[23,]     6     5     6     5     6     7     6     7     7     7     8     8\n",
      "[24,]     5     6     6     6     8     7     8    10    10    11    10     9\n",
      "[25,]     7     6     7     9     9     9    10    10     9     9    11    10\n",
      "[26,]     8     8     9     9    10     9    10     9    11     9     9     9\n",
      "[27,]     9     8    10    11    11    11    10    11    10    10    10    11\n",
      "[28,]     9     9    10    10    11    11    10    10    11     9     9     9\n",
      "[29,]    10     9     9    10    10    11    11    10    11    11     9    10\n",
      "[30,]    10    10     9    10    11     9    10     9    10    10    10     9\n",
      "[31,]    10    10    10    10     9     9    10    10    10     8    10     9\n",
      "[32,]     9     9    10    10     9     9     9    10     9    10    11     8\n",
      "[33,]    10     9    10    11    10     9    10     9     9     9     9    10\n",
      "[34,]    16    19    19    15    11    14    13    12    12    13    16    20\n",
      "[35,]    27    15    23    46    32    23    22    22    17    20    23    27\n",
      "[36,]    32    23    32    45    45    41    21    35    43    50    20    15\n",
      "[37,]    29    29    23    25    32    36    41    38    41    29    25    28\n",
      "[38,]    22    32    29    26    30    30    38    39    34    12    19    31\n",
      "[39,]    15    19    22    20    19    33    38    34    39    23    23    17\n",
      "[40,]    22    20    17    17    24    30    27    31    21    38    37    43\n",
      "[41,]    30    24    18    26    35    33    32    41    43    33    27    19\n",
      "[42,]    31    28    24    27    33    39    38    13    26    31    46    41\n",
      "[43,]    20    27    31    35    37    40    11    38    29    36    30    20\n",
      "[44,]    25    27    27    35    39    17    24    42    42    38    30    21\n",
      "[45,]    20    20    20    40    27    22    34    49    52    46    34    23\n",
      "[46,]    21    25    23    31    17    21    34    49    55    44    45    31\n",
      "[47,]    32    30    38    21    21    17    32    33    40    41    41    30\n",
      "[48,]    39    35    29    19    28    21    21    29    43    45    45    35\n",
      "[49,]    41    35    19    21    27    26    14    11    16    18    18    10\n",
      "[50,]    34    24    17    39    32    20    20    18    26    44    42    37\n",
      "[51,]    28    19    44    50    36    14    26    39    41    35    36    37\n",
      "[52,]    51    47    34    57    44    20    36    33    31    30    31    32\n",
      "[53,]    27    23    51    54    38    26    44    35    31    29    29    33\n",
      "[54,]    22    24    51    56    37    38    41    41    35    29    35    52\n",
      "[55,]    20    36    52    55    29    39    38    38    34    36    46    36\n",
      "[56,]    23    45    55    57    25    38    36    37    39    38    43    42\n",
      "[57,]    32    37    18    57    26    42    42    40    36    38    39    35\n",
      "[58,]    32    32    33    18    29    36    38    43    40    40    37    35\n",
      "[59,]    34    36    36    31    35    35    37    41    41    43    40    38\n",
      "[60,]    35    33    31    24    64    19    34    39    41    42    42    41\n",
      "[61,]    16    27    32    50    48    46    31    22    44    37    29    39\n",
      "[62,]     8    21    30    48    70    81    69    39    33    55    52    43\n",
      "[63,]    43    21    13    12    16    15    10     9    11     9    14    31\n",
      "[64,]    18    14    16    20    22    27    31    28    15    14    20    26\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   181   205   169   118    28    21    17     8     7     7     8     9\n",
      " [2,]    95    34    12    12     7     6     5     6     6     6     7     9\n",
      " [3,]    13    10     6     5     6     7     6     6     5     6     7     8\n",
      " [4,]     6     6     5     5     5     6     5     5     6     6     6     8\n",
      " [5,]     5     5     5     5     5     5     5     6     5     6     6     7\n",
      " [6,]     5     4     5     5     5     4     5     4     6     5     5     6\n",
      " [7,]     5     4     4     4     4     4     4     4     5     5     5     6\n",
      " [8,]     8     8     5     5     4     4     4     4     4     4     4     4\n",
      " [9,]    56    41    29    17    11     8     7     6     6     9     8     8\n",
      "[10,]   104    90    80    80    81    77    66    69    55    41    24    15\n",
      "[11,]   148   148   148   141   132   129   119    86    46    26    43    63\n",
      "[12,]    82    96   104   109   117   117    99    74    27    39    65    90\n",
      "[13,]    11    16    18    25    34    39    36    26    20    44    73    95\n",
      "[14,]    11    10    10    10    10     9     9    16    39    56    67    81\n",
      "[15,]    15    14    14    18    17    15    17    16    21    25    31    43\n",
      "[16,]    13    12    10     9    10    11    11    10    13    19    29    40\n",
      "[17,]    54    34    27    20    11     7     7     7    13    22    34    43\n",
      "[18,]    45    45    36    30    26    30    40    35    12    41    68    83\n",
      "[19,]     7     8    16    27    32    27    27    24    18    53    71    80\n",
      "[20,]     6     5     5     6     6    12    19    21    29    44    50    70\n",
      "[21,]     4     4     4     4     4     6     9    14    52    66    68    64\n",
      "[22,]     5     5     6     5     4     4     5     8    18    40    46    63\n",
      "[23,]     7     7     6     6     5     5     5     5     8    18    21    47\n",
      "[24,]     9     9     9     7     6     5     6     6    11    15    11    39\n",
      "[25,]     9     8     9     7     6     6     6     6     7     8    16    29\n",
      "[26,]    11     9     8     8     8     6     6     6     6    10    13    13\n",
      "[27,]     9    10     9     8     9     8     7     7     8    17    10     7\n",
      "[28,]     9     9     9     9     8     9     8     7     9    20    11    11\n",
      "[29,]     8     9    10     9     8     9     8     7    11    28    14    19\n",
      "[30,]    10     8     8     9     8     8     7     8    21    43    37    14\n",
      "[31,]     9     9     9     9     9     8     8     9    28    69    39    16\n",
      "[32,]     7     7    10     8     9     9    10    23    55    91    27    11\n",
      "[33,]     8     9     8     9     8    10    28    36    66    57    24    10\n",
      "[34,]    18    15    15    11    17    34    29    22    44    39    16    26\n",
      "[35,]    32    33    15    14    67    17    10    17    24    29    27    12\n",
      "[36,]    12    17    15    53    32    20    23    24    16    20    21    15\n",
      "[37,]    34    24    28    26    28    32    19    23    45    28    51    46\n",
      "[38,]    36    26    15    21    26    13    12    26    42    36    20     9\n",
      "[39,]    21    14    18    15    12    21    46    34    18    22    11    21\n",
      "[40,]    31    19    30    22    16    13    13    12    17    10    12    15\n",
      "[41,]    19    15    38    24    24    14    13    18    15    11    14    33\n",
      "[42,]    25    31    25    18    12    12    17    25    25    22    14    17\n",
      "[43,]    11    23    12    24    29    26    28    29    26    14    12    17\n",
      "[44,]    13    21    32    27    27    29    28    28    24    22    18    20\n",
      "[45,]    26    34    29    30    27    25    26    22    13    19    20    19\n",
      "[46,]    28    33    30    29    30    34    30    11    20    33    41    20\n",
      "[47,]    30    30    30    31    28    28    27    17    28    25    12    10\n",
      "[48,]    32    24    23    20    20    21    12    30    19    15    11    11\n",
      "[49,]    12    21    29    15    14    52    41    33    34    16    13    11\n",
      "[50,]    33    40    31    15    65    67    32    16    24    12    12    17\n",
      "[51,]    30    45    44    38    44    57    27    29    29    19    16    17\n",
      "[52,]    26    57    52    57    52    44    35    36    22    19    17    18\n",
      "[53,]    51    70    58    45    41    43    44    35    23    19    18    20\n",
      "[54,]    69    64    54    42    35    36    49    34    21    18    18    32\n",
      "[55,]    45    43    41    34    37    35    56    37    22    20    22    24\n",
      "[56,]    34    32    36    37    36    41    50    43    19    14    18    12\n",
      "[57,]    34    36    38    39    40    47    42    22    11    12    15     8\n",
      "[58,]    33    39    38    41    49    60    38    14    13    11     7     7\n",
      "[59,]    37    40    41    45    55    35    27    14    10     6     7    11\n",
      "[60,]    38    37    48    46    68    41    14     9     6     6     9    12\n",
      "[61,]    47    47    35    26    22    20    18     9     6     7    10    13\n",
      "[62,]    31    21    23    23    23    20    12     6     5     6    12    13\n",
      "[63,]    23    22    23    22    19    17    10     7     6     8    14    10\n",
      "[64,]    29    24    21    22    20    16     8     5     3     5    11    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]     9    11    13\n",
      " [2,]     9    11    13\n",
      " [3,]    10    10    12\n",
      " [4,]     9    10    12\n",
      " [5,]     8    10    11\n",
      " [6,]     7     8     9\n",
      " [7,]     6     7     7\n",
      " [8,]     4     4     4\n",
      " [9,]     7     6     4\n",
      "[10,]    12     6    22\n",
      "[11,]    93   128   163\n",
      "[12,]   124   181   202\n",
      "[13,]   131   166   171\n",
      "[14,]    96   119   152\n",
      "[15,]    59    76   101\n",
      "[16,]    49    53    64\n",
      "[17,]    54    55    52\n",
      "[18,]    83    80    74\n",
      "[19,]    84    90    87\n",
      "[20,]    71    63    70\n",
      "[21,]    57    51    61\n",
      "[22,]    79    67    55\n",
      "[23,]    75    79    51\n",
      "[24,]    48    49    42\n",
      "[25,]    28    21    21\n",
      "[26,]    18    15    10\n",
      "[27,]    12     8     6\n",
      "[28,]    15    14     8\n",
      "[29,]    12    14    17\n",
      "[30,]    11    17    23\n",
      "[31,]     8    10    13\n",
      "[32,]    12    22    20\n",
      "[33,]    28    37    32\n",
      "[34,]    23    30    28\n",
      "[35,]    15    36    46\n",
      "[36,]    22    55    72\n",
      "[37,]    32    25    31\n",
      "[38,]    15    26    27\n",
      "[39,]    26    25    26\n",
      "[40,]    22    18    14\n",
      "[41,]    63    85    74\n",
      "[42,]    52    83    63\n",
      "[43,]    11     8     9\n",
      "[44,]    10     8    12\n",
      "[45,]    12    12    14\n",
      "[46,]    11    12    14\n",
      "[47,]    12    11    14\n",
      "[48,]    12    14    15\n",
      "[49,]    13    14    15\n",
      "[50,]    23    18    17\n",
      "[51,]    25    49    57\n",
      "[52,]    24    35    63\n",
      "[53,]    33    35    42\n",
      "[54,]    33    26    34\n",
      "[55,]    12    15    34\n",
      "[56,]    14    24    11\n",
      "[57,]     8    13    12\n",
      "[58,]    11     9    11\n",
      "[59,]    12    12    15\n",
      "[60,]    14    16    17\n",
      "[61,]    14    16    17\n",
      "[62,]    16    16    19\n",
      "[63,]    10    22    22\n",
      "[64,]    10    10    22\n",
      "\n",
      ", , 18, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   11   12   10   11   12   13   13   12   11    11    11    12     9\n",
      " [2,]   12   12   11   13   13   12   12   11   13    12    12    13    11\n",
      " [3,]   12   11   11   12   12   11   12   11   13    12    12    11    12\n",
      " [4,]   11   11   11   12   12   13   11   11   11    11    12    12    11\n",
      " [5,]   11   11   11   12   13   11   12   12   11    13    13    12    12\n",
      " [6,]   11   11   12   13   13   12   11   12   12    11    11    12    12\n",
      " [7,]   11   12   11   12   11   12   11   13   13    12    13    11    11\n",
      " [8,]   12   11   13   11   11   12   12   13   12    13    12    11    11\n",
      " [9,]   12   12   12   11   11   14   12   13   11    10    12    11    12\n",
      "[10,]   12   12   12   12   11   12   11   12   11    12    11    10     9\n",
      "[11,]   12   13   13   12   12   11   10   10   10     9     8     8     7\n",
      "[12,]   12   12   11   12   11   11   10    9    8     7     5     5     4\n",
      "[13,]   12   11   13   11   10    8    8    7    7     6     5     4     5\n",
      "[14,]   12   12   12   11    8    6    5    5    4     5     5     7     7\n",
      "[15,]   12    9    9    8    7    5    5    5    5     6    10    32    60\n",
      "[16,]   12    9    6    6    6    5    5    7   12    43    74   101   121\n",
      "[17,]    9    7    6    5    6    7   12   42   72   102   116   139   128\n",
      "[18,]    6    6    5    6    6   40   74  103  131   142   157   122   102\n",
      "[19,]    5    5    6   15   64  102  136  141  160   153   135    77   105\n",
      "[20,]    6    6   27   84  125  143  164  156  145   128    48    82    78\n",
      "[21,]    6   26   97  138  155  159  137  102   71    48    66    56    86\n",
      "[22,]   20   96  153  158  149  137  110   53   23    37    51    71    60\n",
      "[23,]   85  151  153  152  130  117   33   15   23    61    56    62    88\n",
      "[24,]  140  153  145   96   81   72   27   36   38    54    53    26    68\n",
      "[25,]  156  146  109   60   39   24   37   26   89    97    44    40    21\n",
      "[26,]  147  145   75   57   24   38   76   89   82    58    56    17    22\n",
      "[27,]  148  129  101   60   46   38   56   96   99    58    32    23    17\n",
      "[28,]  144  122  121   50   29   46   56   83   88    57    25    23    14\n",
      "[29,]  144  127  101  103   47   66   80   83   60    30    12    14    12\n",
      "[30,]  142  127  121  102   69   78   84   62   52    33    22    16    10\n",
      "[31,]  139  123  111   88   91   88   76   66   55    34    24    12    10\n",
      "[32,]  134  121  104  112   94  102   85   62   53    37    21    11    10\n",
      "[33,]  134  110   96  117  102   79   69   52   47    34    18    10     9\n",
      "[34,]  134  123  101  104   97   76   68   62   51    38    20    12    11\n",
      "[35,]  128  120   86   85   86   74   77   71   60    47    29    12    11\n",
      "[36,]  131  121   81   84   81   88   87   82   70    53    32    15    13\n",
      "[37,]  122  124   85   86   93   89   94   78   69    46    25    12    14\n",
      "[38,]  107  124  102   77   75   72   86   91   67    46    21    22    13\n",
      "[39,]   83  121  103   65   89   72   86   85   65    42    24    15    17\n",
      "[40,]   74  124  119   89   51   45   83   71   71    49    38    26    20\n",
      "[41,]   64  112  127  108   66   19   23   26   48    38    30    37    15\n",
      "[42,]   51   89  106   74   25   22   15   16   17    22    36    39    16\n",
      "[43,]   41   67  117   92   23   14   14   14   15    25    47    41    21\n",
      "[44,]   27   47  108  107   81   12   13   18   24    40    39    30    21\n",
      "[45,]   16   22   78  106   94   34   17   27   36    54    61    42    33\n",
      "[46,]   17   18   37  101   92   62   29   30   53    62    73    50    37\n",
      "[47,]   51   15   27   87   84   71   51   64   71    38    77    67    42\n",
      "[48,]   83   20   27   57   80   67   63   61   53    46    46    60    45\n",
      "[49,]   93   50   27   43   68   58   65   53   62    60    54    37    22\n",
      "[50,]  100   67   21   41   47   55   56   56   58    62    60    55    57\n",
      "[51,]  116   85   16   28   31   49   51   50   53    53    53    43    47\n",
      "[52,]  130   87   27   21   23   30   39   40   36    38    40    41    40\n",
      "[53,]  149   89   45   33   29   26   28   24   20    27    25    20    18\n",
      "[54,]  153   99   70   66   52   35   25   24   22    17    21    26    29\n",
      "[55,]  150   95   77   70   71   51   41   46   28    29    35    39    35\n",
      "[56,]  157  103   82   71   73   71   58   52   50    44    43    49    47\n",
      "[57,]  153  101   72   62   67   66   63   63   66    56    48    45    49\n",
      "[58,]  135   96   57   41   55   59   63   65   69    65    58    51    49\n",
      "[59,]  116   87   54   20   36   49   57   60   64    54    47    50    41\n",
      "[60,]   96   78   44   13   14   27   48   50   45    31    35    32    28\n",
      "[61,]   82   73   32    9    9   10   14   24   33    22    15    17    21\n",
      "[62,]   72   49   24   10    8    9    9   10   10    11    11    14    23\n",
      "[63,]   61   47   22   11    9    9    9    9   10     9     8     9    10\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    12    10    11    11    10     9     9     8    10    17    46    81\n",
      " [2,]    12    11    11    12    10    10     9     8     9     7     8     8\n",
      " [3,]    11    12    11    10    10    10     9     7     8     7     7     6\n",
      " [4,]    13    11    12    11    10     9     9     8     7     6     7     6\n",
      " [5,]    12    12    13    10    11     9     9     7     7     7     6     6\n",
      " [6,]    12    12    12    11    10     9     9     8     6     6     6     7\n",
      " [7,]    13    11    11    10    10     9     8     7     6     6     6     6\n",
      " [8,]    11    10    12    10     9     8     7     7     5     6     6     6\n",
      " [9,]     9    10    10     7     7     6     6     5     5     5     5     4\n",
      "[10,]     8     8     6     4     5     5     4     4     4     4     5     5\n",
      "[11,]     6     5     5     4     4     4     5     6     7     6    18    27\n",
      "[12,]     4     4     4     6     7     6    23    49    56    75    73    71\n",
      "[13,]     6     7     7    30    60    83    95   110   101   110   106    84\n",
      "[14,]    27    36    80   107   132   138   137   123   101    90    67    47\n",
      "[15,]    93   116   124   150   141   132   120   105    76    44    29    22\n",
      "[16,]   126   150   144   131   129   116   103    66    33    16    16    18\n",
      "[17,]   122   105   120   117   109   101    80    28    15    17    16    16\n",
      "[18,]   119    65    63    95    87    91    38    15    21    25    21    27\n",
      "[19,]    95    42    37    81    73    28    13    15    27    28    37    54\n",
      "[20,]    94    79    74    64    43    29    21    27    37    34    55    61\n",
      "[21,]   103    80    71    57    41    25    24    51    46    70    64    64\n",
      "[22,]    83    58    50    45    23    18    52    55    66    65    62    76\n",
      "[23,]    63    48    40    21    17    17    63    76    64    50    49    51\n",
      "[24,]    31    29    18     9     9    15    74    65    45    41    29    28\n",
      "[25,]    23    18     9     8     8    20    81    53    36    44    60    44\n",
      "[26,]    18    11     7     8     8    24    71    47    46    78    79    75\n",
      "[27,]    13     8     9     8     7    17    53    62    91   123   129   103\n",
      "[28,]     9     8     8     8     9    11    42    47    81   134   132   107\n",
      "[29,]     9     8     8    10    10    10    34    36    66   110   124   108\n",
      "[30,]     9     9     9    10     8     8    29    41    37    39    32    79\n",
      "[31,]     9    10     9     9     7     8    33    40    42    40    31    28\n",
      "[32,]    11     9     9     8     8     9    11    29    44    45    38    44\n",
      "[33,]    10     9     9     9     8     9     8     9     9    12    18    72\n",
      "[34,]    10     9     8     9     9     9    15    11     9     9    10     9\n",
      "[35,]    11    10    10     9    10    11    10    12    11    13    20    17\n",
      "[36,]    14    12     9    12    12    11    10    10    13    20    42    59\n",
      "[37,]    12    10    10    10    11    11    11    10    18    42    47    48\n",
      "[38,]    13    11    11    12    12    12    10    18    37    42    40    32\n",
      "[39,]    15    11    11    12    12    13    15    31    50    50    53    48\n",
      "[40,]    14    11    11    11    11    10    15    46    45    42    43    43\n",
      "[41,]    12    12    24    12    13    13    29    51    47    39    44    43\n",
      "[42,]    14    27    27    11    11    13    36    41    42    43    41    43\n",
      "[43,]    15    22    13    12    12    14    37    43    41    41    39    36\n",
      "[44,]    16    15    14    13    13    16    31    41    42    40    40    44\n",
      "[45,]    15    15    13    13    13    15    36    38    39    41    41    41\n",
      "[46,]    16    12    14    14    13    14    33    42    39    39    48    37\n",
      "[47,]    20    14    13    17    16    17    28    34    38    50    43    35\n",
      "[48,]    23    14    15    15    17    18    39    41    38    33    33    40\n",
      "[49,]    26    16    14    15    14    19    39    39    43    48    46    44\n",
      "[50,]    28    20    21    16    17    21    39    31    39    45    41    39\n",
      "[51,]    36    20    24    16    18    19    43    41    25    36    44    41\n",
      "[52,]    33    21    27    28    17    15    24    26    24    26    34    41\n",
      "[53,]    19    14    21    35    31    21    19    20    18    20    27    35\n",
      "[54,]    19    16    14    18    42    34    20    15    18    17    16    19\n",
      "[55,]    29    26    15    16    15    18    28    27    19    18    15    31\n",
      "[56,]    35    28    22    19    19    14    15    18    15    15    15    17\n",
      "[57,]    40    33    25    19    19    17    13    12    13    15    16    23\n",
      "[58,]    45    35    28    16    14    17    18    14    15    12    22    18\n",
      "[59,]    39    35    30    21    19    16    13    14    14    15    13    16\n",
      "[60,]    27    23    26    25    26    22    20    19    12    12    14    11\n",
      "[61,]    23    24    26    39    54    58    59    59    41    20    10    11\n",
      "[62,]    31    31    38    39    45    56    73    73    77    75    53    25\n",
      "[63,]    11    19    31    38    34    43    56    75    95    87    87    84\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]   100   118   132   150   152   153   144   152   156   157   149   159\n",
      " [2,]    21    41    69    97   114   122   130   133   133   135   139   137\n",
      " [3,]     8     8     7    10    25    50    81   109   132   146   150   151\n",
      " [4,]     7     6     7     6     8     8    10     7     6    10    18    21\n",
      " [5,]     6     6     5     6     6     8     6     7     6     7     7     7\n",
      " [6,]     5     6     6     6     6     6     6     6     6     6     5     5\n",
      " [7,]     5     6     6     6     6     6     5     6     6     6     6     7\n",
      " [8,]     5     5     4     7     9    12     9     6     8     9    11    20\n",
      " [9,]     5     5     5     5     8     8     8     8    22    39    38    35\n",
      "[10,]     6     7     6     8    11    14    18    49    55    45    32    22\n",
      "[11,]    41    41    45    32    24    22    54    80    81    64    32    31\n",
      "[12,]    71    62    55    50    46    44    71    87    79    37    84    77\n",
      "[13,]    73    54    31    22    21    22    38    45    17    42    54    64\n",
      "[14,]    27    20    19    21    18    17    22    14    17    21    31    22\n",
      "[15,]    19    25    25    18    18    23    19    15    22    23    24    22\n",
      "[16,]    19    27    28    25    15    18    22    18    29    34    42    43\n",
      "[17,]    20    15    21    26    31    29    25    31    40    51    54    62\n",
      "[18,]    29    38    48    61    70    61    60    51    59    65    68    75\n",
      "[19,]    60    62    54    56    62    74    76    67    71    96    88    85\n",
      "[20,]    61    80    85    84    78    92   106   113    94   112   103    79\n",
      "[21,]    77    72    88    75    55    80    93   105   109   127   127    62\n",
      "[22,]    73    77    55    84    66    90   114   114   121   126    56    31\n",
      "[23,]    48    65    85    89    95    97   103   113   118    69    31    19\n",
      "[24,]    29    34    38    62    68    70    99   101    55    19    17     7\n",
      "[25,]    41    28    27    48    67    75    61    23    17    13    11     6\n",
      "[26,]    62    47    24    32    48    66    36    52    12     7     7     7\n",
      "[27,]    68    87    51    32    48    89    54    19    11     7     7     7\n",
      "[28,]    91    97    59    54    99    32     9     8     7     7     7     9\n",
      "[29,]   102    82    33    62    22     9     7     9     8     8     8     9\n",
      "[30,]    54    31    29    12    10     7    10     7     8     8     9    10\n",
      "[31,]    30    28     8    13     8     7     9     9     9     9     9     9\n",
      "[32,]    57     8    18     9     8     9     9     9    10    11     9    10\n",
      "[33,]     5    14    12     9     9     9     9    10    11    10     8     9\n",
      "[34,]    15    28    29    23    21    22    13    12    23    15    13    15\n",
      "[35,]    60    54    45    43    34    26    25    28    28    27    23    22\n",
      "[36,]    58    51    50    39    31    31    36    31    29    32    33    41\n",
      "[37,]    33    46    42    36    32    39    28    29    19    25    24    36\n",
      "[38,]    26    37    39    28    31    23    21    19    14    13    15    18\n",
      "[39,]    34    32    39    33    33    19    18    15    14    13    12    13\n",
      "[40,]    36    36    33    36    26    21    22    18    14    17    17    19\n",
      "[41,]    42    40    35    41    35    30    25    32    14    20    29    29\n",
      "[42,]    45    38    39    37    44    34    27    25    20    29    29    27\n",
      "[43,]    35    38    35    35    22    17    14    29    28    30    35    18\n",
      "[44,]    35    34    35    31    16    16    26    29    28    24    21    20\n",
      "[45,]    37    38    37    31    22    27    20    29    21    20    22    19\n",
      "[46,]    41    39    39    31    24    20    20    27    26    20    16    19\n",
      "[47,]    38    35    22    23    19    27    25    30    28    22    29    30\n",
      "[48,]    36    30    28    30    24    33    37    35    39    27    29    32\n",
      "[49,]    31    26    32    24    28    41    34    35    38    26    33    37\n",
      "[50,]    32    28    26    28    44    31    31    35    30    34    34    36\n",
      "[51,]    34    32    33    40    36    37    39    38    42    34    36    40\n",
      "[52,]    39    42    33    31    36    43    42    38    41    36    26    26\n",
      "[53,]    30    39    36    31    33    30    21    21    21    25    16    22\n",
      "[54,]    30    11    20    22    23    26    28    34    28    12    60    36\n",
      "[55,]    27    33    36    36    33    34    35    35    37    36    18    36\n",
      "[56,]    19    29    31    34    34    35    37    35    38    35    34    22\n",
      "[57,]    12    18    19    29    33    31    33    35    35    38    33    35\n",
      "[58,]    44    22    16    15    23    32    33    34    35    34    36    36\n",
      "[59,]    41    68    36    21    11    20    30    35    37    34    34    35\n",
      "[60,]    10    28    73    66    45    20    17    24    30    34    35    36\n",
      "[61,]    10    10     9    23    78    89    59    17    16    19    22    22\n",
      "[62,]    18    10     9    11     9    10    51    62    35    24    10     9\n",
      "[63,]    76    40    18     9     9    16    26    10     9    37    51    47\n",
      "[64,]     0    44    52    61    44    10     9     8    11    20    24    18\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   146   142   154   161   151   134   155   151   153   152   159   177\n",
      " [2,]   133   137   146   140   141   144   147   153   156   165   177   171\n",
      " [3,]   151   154   157   156   161   162   160   149   112    51    24    15\n",
      " [4,]    37    43    53    38    18    14    12    11    13    11     7     6\n",
      " [5,]     9     9    10     9     8     7     6     6     6     6     6     6\n",
      " [6,]     6     6     6     6     6     6     5     6     6     6     5     6\n",
      " [7,]     9     9     9     9     9     9     9    10     9    11     9     6\n",
      " [8,]    27    32    36    37    34    30    24    25    24    36    22    11\n",
      " [9,]    31    28    24    26    25    26    28    34    49    71    79    75\n",
      "[10,]    24    28    34    39    39    27    34    69    83   106   102   112\n",
      "[11,]    37    35    36    30    18    31    47    68    95    98   117   130\n",
      "[12,]    50    35    23    13    14    21    33    38    39    44    51    61\n",
      "[13,]    55    29    17    14    14    11    10    11    11    11    10     9\n",
      "[14,]    20    26    14    18    14    10    12    13    13    15    17    12\n",
      "[15,]    23    18    11     9    18    14    15    15    14    14    11    14\n",
      "[16,]    29    29    32    20    11    32    45    54    64    58    25    15\n",
      "[17,]    57    46    47    38    25    60    58    75    74    64    66    71\n",
      "[18,]    71    70    72    28    19    18    15    18    32    36    37    42\n",
      "[19,]    86    92    31    15    13     8     5     6     7     6     5     6\n",
      "[20,]    91    31    10     6     5     5     5     4     5     4     4     5\n",
      "[21,]    30     6     5     5     5     5     5     4     5     4     4     4\n",
      "[22,]    12     7     5     5     5     4     5     5     5     5     5     5\n",
      "[23,]     8     6     6     6     6     7     6     7     7     7     8     8\n",
      "[24,]     7     6     6     6     7     8     9     9     9    11     9     9\n",
      "[25,]     8     7     8     8     9     9    10     9    10    10     9     9\n",
      "[26,]     8     8     9    10    10     9    11     9    10    10    10    10\n",
      "[27,]     9     9     9     9    10    11     9    10    10    10    10     9\n",
      "[28,]     9     9     8    10    10    10    10    10    11     9     9     9\n",
      "[29,]     9     8     9    10    10    10    10    10    10    11    10    11\n",
      "[30,]    10     8    10    10    10     9     9     9     9    11    10    10\n",
      "[31,]    10     9     9     8     9     9     9    10    11    10    10    10\n",
      "[32,]     9    10    10     8     9    10    10    10    10     9     9     9\n",
      "[33,]     9     9    11     9     9    10     9     9    10    11    11    10\n",
      "[34,]    15    21    16    15    14    14    16    13    13    14    17    19\n",
      "[35,]    30    17    20    42    30    22    23    21    19    19    22    26\n",
      "[36,]    34    25    35    47    50    46    27    36    42    55    23    18\n",
      "[37,]    31    29    25    29    29    36    37    36    38    35    26    21\n",
      "[38,]    19    29    32    26    28    28    36    39    35    13    20    34\n",
      "[39,]    17    20    20    20    21    32    35    34    33    18    25    18\n",
      "[40,]    21    17    16    15    23    33    28    30    30    39    33    41\n",
      "[41,]    31    23    19    23    31    33    28    44    37    34    28    17\n",
      "[42,]    32    28    24    26    33    41    37    11    23    31    47    41\n",
      "[43,]    17    27    29    39    41    40    14    29    27    39    31    20\n",
      "[44,]    20    26    30    37    40    16    24    42    47    40    31    21\n",
      "[45,]    21    21    22    36    30    22    32    50    51    42    34    22\n",
      "[46,]    23    22    22    35    15    19    32    50    45    39    44    35\n",
      "[47,]    31    29    39    25    19    17    28    35    40    39    40    30\n",
      "[48,]    37    39    30    19    29    24    20    27    42    47    44    36\n",
      "[49,]    43    35    19    18    28    23    13    14    14    15    16    11\n",
      "[50,]    34    26    17    42    34    16    19    15    26    40    43    38\n",
      "[51,]    29    18    46    47    39    14    25    36    38    32    35    36\n",
      "[52,]    46    46    32    58    44    18    36    34    27    26    30    36\n",
      "[53,]    27    20    48    55    37    28    43    36    30    31    31    35\n",
      "[54,]    25    22    52    56    40    38    42    42    37    30    34    47\n",
      "[55,]    23    39    52    54    27    40    40    36    33    37    43    36\n",
      "[56,]    24    46    58    56    24    39    38    36    36    35    42    42\n",
      "[57,]    35    35    18    56    25    43    40    40    37    39    40    36\n",
      "[58,]    35    34    32    17    29    37    39    41    39    42    39    35\n",
      "[59,]    32    36    37    30    31    34    38    42    39    39    39    40\n",
      "[60,]    36    33    31    24    62    18    35    41    44    41    41    41\n",
      "[61,]    16    26    30    47    52    47    32    22    42    40    30    38\n",
      "[62,]     9    19    33    50    72    80    70    41    31    54    54    46\n",
      "[63,]    40    21    13    13    16    15     9     8    10    10    15    30\n",
      "[64,]    18    15    15    20    20    26    31    26    16    14    22    26\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   182   204   167   120    30    21    17     7     6     7     7     7\n",
      " [2,]    96    34    13    14     8     6     6     6     6     6     7     9\n",
      " [3,]    14     9     6     6     6     6     6     6     5     6     7     8\n",
      " [4,]     6     5     5     6     6     5     6     5     5     6     6     7\n",
      " [5,]     6     5     5     5     5     5     6     6     6     6     6     7\n",
      " [6,]     5     5     5     5     5     5     5     5     5     5     6     6\n",
      " [7,]     4     3     4     4     4     4     4     4     4     5     4     6\n",
      " [8,]     7     7     6     5     4     5     4     4     4     4     5     4\n",
      " [9,]    55    42    29    17    11     8     7     5     6     9     8     6\n",
      "[10,]   104    89    79    81    81    77    64    69    55    42    26    15\n",
      "[11,]   148   147   148   143   130   130   120    86    45    27    43    65\n",
      "[12,]    81    97   105   109   117   117    99    74    26    37    65    91\n",
      "[13,]    11    16    19    26    35    38    35    26    20    44    72    93\n",
      "[14,]    11     9    10    10    10    10     8    15    41    57    66    80\n",
      "[15,]    16    14    13    17    17    15    16    15    23    25    31    43\n",
      "[16,]    13    11     9     9    11    11    11    11    13    20    28    39\n",
      "[17,]    52    33    26    19    11     7     7     8    13    23    35    43\n",
      "[18,]    42    45    37    29    26    31    40    33    12    44    69    82\n",
      "[19,]     6     8    15    27    31    27    27    23    18    53    71    80\n",
      "[20,]     6     4     5     6     6    12    19    19    29    43    52    70\n",
      "[21,]     4     4     4     4     5     6     8    13    50    65    67    63\n",
      "[22,]     5     5     5     4     4     4     5    10    17    40    46    62\n",
      "[23,]     7     6     6     6     6     5     4     5     8    17    20    46\n",
      "[24,]     9     9     8     7     6     6     5     6    11    15     9    38\n",
      "[25,]     9    10     9     7     7     6     6     6     8     8    14    28\n",
      "[26,]     9    10     9     8     9     7     7     6     7     9    11    12\n",
      "[27,]    10    10     8     8     9     8     9     7     8    15    11     8\n",
      "[28,]     9     9    10     8     8     8     8     8     8    20    11    10\n",
      "[29,]     9    10     9     9     8     8     8     8     9    27    16    17\n",
      "[30,]     9     9     9     8     9     8     7     9    19    41    37    14\n",
      "[31,]     8     9     9    10     9     9     9     9    23    66    42    16\n",
      "[32,]     9     8    10     9    10     8     9    21    58    95    28    12\n",
      "[33,]     9    10     9    11    10    11    25    34    66    64    22    10\n",
      "[34,]    21    14    13    11    16    36    29    25    42    42    15    26\n",
      "[35,]    31    32    16    14    68    22    10    16    23    26    24    12\n",
      "[36,]    13    17    16    51    35    20    24    22    15    21    19    16\n",
      "[37,]    38    22    28    27    26    31    21    20    46    29    54    47\n",
      "[38,]    35    26    15    20    27    16    10    21    43    39    21    13\n",
      "[39,]    22    17    20    13    17    18    48    34    18    20    13    20\n",
      "[40,]    31    21    29    21    14    13    12    12    13    13    12    13\n",
      "[41,]    22    17    37    20    29    15    12    19    15    11    13    36\n",
      "[42,]    25    37    25    15    13    12    18    26    23    22    14    22\n",
      "[43,]    11    22    12    22    29    26    26    30    28    14    12    14\n",
      "[44,]    12    22    35    29    26    27    28    27    26    23    18    22\n",
      "[45,]    21    31    29    29    28    27    26    20    13    18    18    18\n",
      "[46,]    33    33    30    31    31    32    29    11    20    32    41    22\n",
      "[47,]    29    30    31    31    30    28    26    19    29    30    13    14\n",
      "[48,]    32    24    23    18    21    25    13    33    18    17    12    11\n",
      "[49,]    14    19    36    12    14    52    40    33    31    17    14    11\n",
      "[50,]    32    39    29    14    65    69    31    12    27    11    12    18\n",
      "[51,]    32    43    41    38    40    52    26    28    29    18    15    15\n",
      "[52,]    25    58    51    55    49    42    33    35    22    19    16    18\n",
      "[53,]    49    66    59    45    40    42    45    34    22    19    19    22\n",
      "[54,]    66    63    52    40    36    36    48    34    19    18    19    34\n",
      "[55,]    46    45    40    34    35    35    53    37    22    23    22    25\n",
      "[56,]    32    32    36    37    37    42    50    43    18    13    17    11\n",
      "[57,]    33    37    38    38    40    48    44    22    11    12    15     8\n",
      "[58,]    33    39    38    41    47    58    34    14    14    10     8     8\n",
      "[59,]    39    39    41    45    53    35    28    13     8     5     6    12\n",
      "[60,]    40    38    47    48    69    41    14     8     6     6     9    11\n",
      "[61,]    46    47    35    26    23    20    16     9     6     7    10    12\n",
      "[62,]    30    20    23    24    23    19    11     6     5     6    12    14\n",
      "[63,]    21    21    23    23    19    16    11     8     5     8    13    10\n",
      "[64,]    28    22    22    22    21    16     8     5     4     4    12    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]    10    11    12\n",
      " [2,]     9    12    13\n",
      " [3,]    10    11    12\n",
      " [4,]     9    11    12\n",
      " [5,]     8     9    11\n",
      " [6,]     7    10    10\n",
      " [7,]     5     6     8\n",
      " [8,]     4     4     4\n",
      " [9,]     6     5     5\n",
      "[10,]    12     7    22\n",
      "[11,]    92   129   164\n",
      "[12,]   124   179   203\n",
      "[13,]   133   166   173\n",
      "[14,]    97   119   151\n",
      "[15,]    60    75   102\n",
      "[16,]    49    54    67\n",
      "[17,]    54    55    52\n",
      "[18,]    82    81    73\n",
      "[19,]    86    88    87\n",
      "[20,]    70    62    70\n",
      "[21,]    58    50    61\n",
      "[22,]    78    68    53\n",
      "[23,]    74    80    52\n",
      "[24,]    49    49    43\n",
      "[25,]    28    22    21\n",
      "[26,]    18    14     9\n",
      "[27,]    11     7     5\n",
      "[28,]    13    13     8\n",
      "[29,]    12    15    16\n",
      "[30,]    11    15    24\n",
      "[31,]     8     9    14\n",
      "[32,]    10    20    20\n",
      "[33,]    30    40    31\n",
      "[34,]    23    32    25\n",
      "[35,]    15    32    40\n",
      "[36,]    19    56    74\n",
      "[37,]    33    25    33\n",
      "[38,]    14    27    29\n",
      "[39,]    26    25    26\n",
      "[40,]    18    16    13\n",
      "[41,]    58    82    70\n",
      "[42,]    55    80    62\n",
      "[43,]    11     7     9\n",
      "[44,]    11    10    12\n",
      "[45,]    12    12    14\n",
      "[46,]    12    10    16\n",
      "[47,]    10    12    16\n",
      "[48,]    13    13    16\n",
      "[49,]    11    14    16\n",
      "[50,]    22    17    18\n",
      "[51,]    25    49    55\n",
      "[52,]    24    35    63\n",
      "[53,]    33    36    41\n",
      "[54,]    34    23    33\n",
      "[55,]    13    15    34\n",
      "[56,]    13    23    10\n",
      "[57,]     9    12    11\n",
      "[58,]    12     8    12\n",
      "[59,]    13    13    15\n",
      "[60,]    14    15    16\n",
      "[61,]    15    16    18\n",
      "[62,]    16    17    19\n",
      "[63,]    11    22    23\n",
      "[64,]    11    11    22\n",
      "\n",
      ", , 19, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   10   12   11   12   11   11   11   11   13    13    12    11    11\n",
      " [2,]   10   12   12   11   12   12   12   13   12    13    13    12    11\n",
      " [3,]   10   11   11   12   11   12   12   11   12    12    13    13    13\n",
      " [4,]   12   10   12   12   11   12   13   12   12    12    11    11    11\n",
      " [5,]   12   11   11   11   11   11   12   12   12    11    12    12    11\n",
      " [6,]   14   11   12   11   11   12   12   12   11    11    11    12    12\n",
      " [7,]   12   11   10   12   11   12   12   12   13    11    11    13    13\n",
      " [8,]   12   13   13   12   12   12   11   13   12    13    11    13    11\n",
      " [9,]   12   12   12   11   12   13   11   11   11    11    12    11    11\n",
      "[10,]   13   12   11   12   12   11   11   11   12    12    10    10     9\n",
      "[11,]   13   11   11   12   10   12   12   11   10     9     8     8     7\n",
      "[12,]   13   10   10   11   11   11   11   10    8     7     5     4     5\n",
      "[13,]   11   12   12   10    9    9    8    7    6     5     5     4     5\n",
      "[14,]   12   11   11   10    8    5    5    5    4     5     5     6     7\n",
      "[15,]   11   11    9    8    6    4    5    4    5     7    10    32    61\n",
      "[16,]   10    9    6    5    5    5    5    7   12    44    75   102   123\n",
      "[17,]   10    7    6    5    5    7   11   41   72   103   116   141   128\n",
      "[18,]    6    5    4    5    5   40   74  105  131   144   157   121   104\n",
      "[19,]    5    6    6   16   64  103  136  141  161   155   136    81   107\n",
      "[20,]    5    8   28   85  125  144  164  157  146   129    46    82    78\n",
      "[21,]    6   27   99  139  156  159  138  107   73    48    66    56    88\n",
      "[22,]   20   93  155  158  150  138  112   50   22    38    53    72    59\n",
      "[23,]   85  152  152  154  131  117   31   16   24    60    56    64    88\n",
      "[24,]  140  153  145   98   82   73   27   35   39    54    52    25    68\n",
      "[25,]  158  150  108   62   43   22   38   28   88    97    44    40    21\n",
      "[26,]  147  146   74   57   24   39   76   88   85    56    58    18    23\n",
      "[27,]  149  127  101   61   46   37   56   96  101    57    31    23    16\n",
      "[28,]  144  123  124   50   29   46   55   82   87    57    25    23    13\n",
      "[29,]  142  128  101  102   49   66   80   84   62    30    14    14    11\n",
      "[30,]  142  125  121  101   71   80   82   60   51    34    22    14     9\n",
      "[31,]  138  123  110   91   92   91   77   68   56    36    26    13     9\n",
      "[32,]  136  120  103  113   96  101   85   63   55    37    21    10    11\n",
      "[33,]  133  108   94  117  103   80   68   54   45    35    16    12     9\n",
      "[34,]  136  122  101  106   94   74   69   65   51    39    18    11    10\n",
      "[35,]  130  120   88   86   85   76   78   72   62    45    29    13    10\n",
      "[36,]  129  121   84   84   84   91   88   82   71    54    32    14    14\n",
      "[37,]  123  124   86   89   91   90   91   79   68    48    28    11    14\n",
      "[38,]  108  122  102   74   74   74   87   88   68    48    21    18    12\n",
      "[39,]   85  122  104   68   90   69   90   90   64    42    23    13    15\n",
      "[40,]   73  124  117   93   49   46   85   75   71    49    35    25    21\n",
      "[41,]   64  113  133  112   66   21   22   27   49    37    34    36    16\n",
      "[42,]   51   89  106   78   23   21   16   18   17    26    35    40    17\n",
      "[43,]   41   64  117   95   17   13   14   15   13    27    46    41    22\n",
      "[44,]   24   48  110  107   84   11   13   17   27    41    37    32    23\n",
      "[45,]   14   23   79  106   93   29   15   25   35    55    62    41    33\n",
      "[46,]   17   23   38  101   90   61   30   31   54    64    77    55    34\n",
      "[47,]   52   15   23   84   85   74   54   64   72    35    79    67    41\n",
      "[48,]   84   21   26   58   78   64   62   61   57    49    46    63    44\n",
      "[49,]   92   47   28   43   67   60   68   57   71    62    52    40    26\n",
      "[50,]  101   67   20   39   49   54   56   56   56    58    60    54    52\n",
      "[51,]  115   82   15   30   32   49   49   51   53    54    50    46    47\n",
      "[52,]  127   87   25   20   22   32   38   38   41    39    37    35    37\n",
      "[53,]  146   89   46   34   30   25   30   23   20    26    25    16    18\n",
      "[54,]  153   99   74   67   54   34   25   27   18    17    23    27    26\n",
      "[55,]  151  101   80   70   72   50   42   45   28    31    35    39    36\n",
      "[56,]  156  102   82   71   75   70   57   50   49    46    45    50    46\n",
      "[57,]  154  100   70   62   68   69   65   60   65    53    47    48    47\n",
      "[58,]  136   97   59   40   57   59   66   67   68    65    59    51    49\n",
      "[59,]  118   90   55   25   38   56   59   61   62    50    45    48    41\n",
      "[60,]   95   78   44   11   12   27   51   51   45    37    38    30    26\n",
      "[61,]   80   71   35    9   10   10   14   25   32    26    17    18    22\n",
      "[62,]   73   51   21   11    9    9    8   10   11    11    12    14    24\n",
      "[63,]   61   46   23   10    9    9    9    8    9     9    10     9    10\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    11    11    11     9    10     8     8     8     8    19    49    80\n",
      " [2,]    12    12    11    11    10     9     9     8     8     8     8     8\n",
      " [3,]    13    12    12    10    10     9     9     8     7     7     8     7\n",
      " [4,]    11    11    11    11    11    10     8     7     8     7     6     7\n",
      " [5,]    11    10    11    10    12    10     8     8     7     7     6     7\n",
      " [6,]    11    11    11    12    10     8    10     8     7     6     6     6\n",
      " [7,]    12    11    12    12    10     9     9     8     6     7     6     7\n",
      " [8,]    11    12    10    10    10     9     8     7     6     7     6     5\n",
      " [9,]    10    10     8     7     7     6     6     5     5     4     5     4\n",
      "[10,]     8     7     5     5     4     4     4     4     4     4     4     5\n",
      "[11,]     7     6     4     5     4     5     5     6     7     7    18    29\n",
      "[12,]     4     4     4     6     7     6    24    50    55    74    75    72\n",
      "[13,]     7     7     7    30    62    83    96   110   100   111   108    85\n",
      "[14,]    28    39    81   107   133   140   136   123   100    90    65    47\n",
      "[15,]    93   117   128   151   141   133   121   104    76    44    29    22\n",
      "[16,]   129   152   144   131   128   116   102    67    32    18    16    18\n",
      "[17,]   123   104   119   119   110   101    79    26    16    18    16    19\n",
      "[18,]   119    65    63    96    85    92    38    16    20    23    20    28\n",
      "[19,]    94    48    38    82    72    27    13    16    27    29    37    54\n",
      "[20,]    94    77    74    63    41    28    20    28    37    37    55    62\n",
      "[21,]   105    82    70    57    41    25    27    50    48    70    63    62\n",
      "[22,]    84    58    51    45    22    19    53    57    70    69    65    84\n",
      "[23,]    65    48    40    22    15    23    65    76    65    52    56    59\n",
      "[24,]    31    30    18     9     9    24    74    65    45    41    31    28\n",
      "[25,]    24    19    10     8     9    31    81    53    40    36    50    42\n",
      "[26,]    19    12     7     7     8    34    69    41    37    75    82    75\n",
      "[27,]    12     9     8     7     8    24    56    71    96   118   119   103\n",
      "[28,]     9     7     7     8     9    17    44    46    97   136   137   112\n",
      "[29,]    10     8     8    10    10    11    37    37    83   121   128   117\n",
      "[30,]     9     8     9    10     8     8    34    39    37    51    69    99\n",
      "[31,]     9     9    10     9     7     8    37    40    41    35    30    33\n",
      "[32,]    11    10     8     8     7     9    16    36    47    48    43    46\n",
      "[33,]    11     9     8     9     8     8     9     9    15    21    26    75\n",
      "[34,]    10    10     9     8     8     9    11     9     9     8     9     9\n",
      "[35,]    10    12     9     9    11     9    10    11    11    11    20    14\n",
      "[36,]    13    11    10    11    10    11    10    10    11    21    42    57\n",
      "[37,]    12    10    10    10    10    10    10     9    17    42    47    52\n",
      "[38,]    14    11    13    11    11    11    11    16    35    44    41    36\n",
      "[39,]    12    11    11    11    10    12    16    28    48    50    53    51\n",
      "[40,]    13    12    15    11    11    13    16    47    47    43    43    44\n",
      "[41,]    12    15    25    12    13    13    24    52    44    43    46    41\n",
      "[42,]    14    29    29    12    11    13    35    45    41    40    45    44\n",
      "[43,]    17    21    14    12    11    13    34    43    41    40    37    39\n",
      "[44,]    14    13    15    12    12    16    36    44    43    39    36    42\n",
      "[45,]    14    16    13    12    12    16    32    38    43    42    41    41\n",
      "[46,]    16    14    12    14    12    17    33    45    37    42    44    42\n",
      "[47,]    19    14    15    16    16    16    29    37    38    47    44    37\n",
      "[48,]    22    16    15    14    17    19    41    40    34    33    31    41\n",
      "[49,]    25    15    14    14    13    20    39    43    43    44    45    42\n",
      "[50,]    29    18    19    18    17    22    39    33    36    45    39    38\n",
      "[51,]    36    18    21    18    15    18    45    46    28    37    41    44\n",
      "[52,]    35    19    32    28    19    18    20    28    22    27    38    44\n",
      "[53,]    19    18    21    34    29    19    20    21    17    21    28    35\n",
      "[54,]    19    17    14    16    37    35    23    19    17    19    16    21\n",
      "[55,]    31    24    16    17    16    19    29    26    19    18    15    34\n",
      "[56,]    34    26    21    20    15    17    16    16    16    15    16    16\n",
      "[57,]    41    32    25    18    21    19    15    13    14    16    16    24\n",
      "[58,]    48    37    30    16    16    18    16    16    14    13    21    18\n",
      "[59,]    37    36    28    20    17    16    14    13    14    13    15    16\n",
      "[60,]    24    25    23    26    25    22    21    20    12    15    11    14\n",
      "[61,]    23    25    30    37    54    56    59    58    42    19    12    12\n",
      "[62,]    34    36    35    39    45    60    74    74    77    76    54    26\n",
      "[63,]    12    20    29    39    35    44    58    77    99    89    87    85\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]   102   122   134   152   151   151   146   152   156   156   150   160\n",
      " [2,]    20    42    70    98   115   126   130   137   135   136   139   137\n",
      " [3,]     7     7     7     9    25    48    82   108   133   145   149   154\n",
      " [4,]     7     6     6     7     8     8     8     9     9    11    19    23\n",
      " [5,]     6     6     7     6     6     6     7     7     7     6     8     8\n",
      " [6,]     6     6     6     6     6     5     6     6     6     6     7     6\n",
      " [7,]     5     5     6     6     6     5     6     5     6     5     6     6\n",
      " [8,]     5     5     5     8     8    13     7     5     7     9    10    21\n",
      " [9,]     5     5     4     5     8    10     8     8    23    40    38    34\n",
      "[10,]     5     6     6     8    11    14    18    51    55    44    32    23\n",
      "[11,]    41    41    45    32    23    23    53    80    82    64    32    31\n",
      "[12,]    71    61    55    50    46    42    70    87    79    37    85    79\n",
      "[13,]    73    53    30    22    22    24    39    46    16    45    57    66\n",
      "[14,]    26    20    19    21    18    18    21    16    18    19    33    22\n",
      "[15,]    20    25    25    18    18    22    19    16    23    24    23    24\n",
      "[16,]    20    28    28    25    15    19    23    17    31    35    43    45\n",
      "[17,]    20    17    22    27    30    30    26    32    41    51    54    62\n",
      "[18,]    28    39    49    63    69    62    61    54    60    66    69    77\n",
      "[19,]    59    61    53    56    64    73    74    63    73    98    90    89\n",
      "[20,]    62    78    79    83    81    90   105   108   102   114   102    81\n",
      "[21,]    73    79    89    74    65    80    92   112   115   135   133    63\n",
      "[22,]    75    80    59    84    67    95   113   121   125   136    71    32\n",
      "[23,]    55    67    82    89    93   107   117   118   128    81    29    18\n",
      "[24,]    28    39    40    61    75    95   111   117    76    19    18     9\n",
      "[25,]    33    26    27    54    65    72    51    24    16    12    11     7\n",
      "[26,]    60    45    24    36    62    82    38    45    12     9     7     7\n",
      "[27,]    69    87    47    27    37    67    80    19    11     7     7     7\n",
      "[28,]    92    92    69    55    92    62    12    11     8     7     8     9\n",
      "[29,]   103    95    48    59    42     9     8     8     8     9     9     8\n",
      "[30,]    62    46    26    20    10     7     8     8     8     8     9     9\n",
      "[31,]    26    26    10    14     8     8     9     9     9     9     9    10\n",
      "[32,]    49    12    19    10     9     9    10     9    10    11     9    10\n",
      "[33,]     8    14    11     9     9    11    10    10     9     9     9    11\n",
      "[34,]    14    22    29    23    21    19    16    11    18    14    12    15\n",
      "[35,]    54    55    45    42    35    25    22    24    26    25    29    16\n",
      "[36,]    58    48    51    42    29    30    39    28    30    34    32    39\n",
      "[37,]    38    44    40    36    30    38    31    29    22    21    25    39\n",
      "[38,]    26    36    42    30    30    24    17    21    15    13    13    16\n",
      "[39,]    34    34    38    34    31    20    19    18    13    14    15    14\n",
      "[40,]    42    38    38    30    25    21    19    18    15    18    16    17\n",
      "[41,]    41    39    34    42    36    29    22    34    13    19    26    28\n",
      "[42,]    47    35    40    37    45    39    30    27    21    23    32    34\n",
      "[43,]    36    38    40    38    24    16    14    28    30    32    38    22\n",
      "[44,]    36    35    31    28    17    15    25    30    29    22    22    23\n",
      "[45,]    37    36    34    34    20    30    21    31    24    18    23    20\n",
      "[46,]    41    39    41    30    24    21    20    28    24    21    19    20\n",
      "[47,]    41    34    22    26    21    29    25    28    29    18    28    32\n",
      "[48,]    36    29    28    27    22    31    37    38    40    27    28    33\n",
      "[49,]    31    28    31    22    31    42    32    36    34    28    32    39\n",
      "[50,]    30    30    25    32    41    28    32    33    27    33    34    38\n",
      "[51,]    36    33    31    36    35    37    40    38    43    35    37    39\n",
      "[52,]    46    39    34    36    39    46    42    42    40    36    30    26\n",
      "[53,]    32    41    42    33    36    24    19    21    21    23    19    19\n",
      "[54,]    27    12    18    22    20    25    30    31    30    14    69    36\n",
      "[55,]    28    34    34    38    34    34    35    39    39    36    18    36\n",
      "[56,]    17    26    35    31    34    36    36    35    36    34    34    21\n",
      "[57,]    13    18    22    28    33    35    36    36    36    37    35    35\n",
      "[58,]    45    21    17    15    25    32    32    35    35    35    36    37\n",
      "[59,]    38    64    36    20    11    22    32    35    38    35    34    36\n",
      "[60,]    11    25    71    69    43    18    16    24    31    34    36    37\n",
      "[61,]    11    10     9    21    79    88    58    17    16    17    21    21\n",
      "[62,]    17    10     9     9     9    10    51    61    35    25     9     9\n",
      "[63,]    76    42    19    10     9    17    28     9    11    37    49    47\n",
      "[64,]     0    46    52    59    44    10     8    10    11    20    24    18\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   146   147   156   163   153   135   156   152   154   149   158   179\n",
      " [2,]   133   138   147   140   143   145   147   154   157   165   177   171\n",
      " [3,]   152   155   158   158   160   163   161   151   112    52    24    15\n",
      " [4,]    38    42    54    38    18    13    12    11    11    10     6     6\n",
      " [5,]     9    11     9     9     7     7     6     7     6     6     5     6\n",
      " [6,]     6     5     6     5     7     6     5     6     5     5     5     5\n",
      " [7,]     8     8     8     8     9     9     9     9     9    10    10     6\n",
      " [8,]    28    33    36    38    35    30    24    25    25    36    24    11\n",
      " [9,]    30    28    22    26    26    26    27    34    49    72    81    75\n",
      "[10,]    24    27    34    40    40    27    34    71    84   106   103   113\n",
      "[11,]    40    36    36    31    19    31    47    69    93    99   120   130\n",
      "[12,]    51    36    24    13    15    21    33    38    38    44    51    62\n",
      "[13,]    55    28    17    14    14    11     9    11    11    11    10     9\n",
      "[14,]    20    26    15    18    14    10    12    14    13    15    17    13\n",
      "[15,]    22    18    11     9    18    14    17    15    16    14    10    14\n",
      "[16,]    31    29    31    21    10    35    46    54    63    58    25    14\n",
      "[17,]    58    48    47    38    26    59    57    74    74    64    65    71\n",
      "[18,]    70    69    74    31    20    18    15    19    32    36    37    41\n",
      "[19,]    87    97    32    14    13     8     5     5     7     6     5     6\n",
      "[20,]    87    31    12     5     5     4     4     4     4     4     4     5\n",
      "[21,]    30     6     6     5     5     4     5     4     4     5     4     4\n",
      "[22,]    13     8     5     5     5     5     5     4     5     5     5     5\n",
      "[23,]     7     5     5     5     6     7     6     7     7     8     8     8\n",
      "[24,]     7     6     6     7     7     8     9     9     9    11     9     9\n",
      "[25,]     6     8     8     7     8     9     9    10    10    11    10    10\n",
      "[26,]     7     8     9     9    11     9     9    10    10    11    10    11\n",
      "[27,]     7     9    10    10    10    10    10    10     8    10    10    11\n",
      "[28,]     9     8    10     9    10    11    10    10    10     9     9    10\n",
      "[29,]     9     9    10     9    10    10    10     9    10    10     9     8\n",
      "[30,]     9     9     9    10    10    11    10     9    10    10     9     9\n",
      "[31,]     9     9     9     9     9     9    10    10     7     9    10    10\n",
      "[32,]    10     9    10    10     9     9    10    11     9     8     9     8\n",
      "[33,]    10    10    10     9     9    10    10    10    10    10     9    10\n",
      "[34,]    17    21    17    17    14    13    14    13    10    15    19    19\n",
      "[35,]    33    16    16    41    32    22    22    24    18    15    24    27\n",
      "[36,]    37    24    35    48    51    46    27    37    42    49    24    18\n",
      "[37,]    32    29    25    29    32    37    38    36    36    36    27    21\n",
      "[38,]    23    31    30    27    28    31    39    39    32    13    19    30\n",
      "[39,]    15    18    23    18    19    31    35    31    36    18    24    18\n",
      "[40,]    19    21    17    17    22    32    29    31    34    42    25    38\n",
      "[41,]    32    22    17    20    31    32    32    41    33    38    33    18\n",
      "[42,]    32    31    23    27    33    36    39    11    29    40    47    42\n",
      "[43,]    18    24    28    38    36    39    16    33    33    47    30    24\n",
      "[44,]    21    22    31    35    37    17    22    44    38    30    26    23\n",
      "[45,]    19    24    19    37    30    22    33    52    42    32    33    20\n",
      "[46,]    26    26    24    37    13    22    29    46    45    43    44    31\n",
      "[47,]    30    28    39    30    22    21    31    32    43    47    40    29\n",
      "[48,]    39    40    29    15    30    22    21    28    42    45    43    37\n",
      "[49,]    41    38    19    16    29    25    15    15    12    15    14     9\n",
      "[50,]    34    27    17    41    34    18    19    18    25    40    40    39\n",
      "[51,]    29    19    41    47    38    14    25    37    40    36    33    38\n",
      "[52,]    42    50    29    59    42    21    33    39    32    29    29    35\n",
      "[53,]    28    18    48    55    38    24    44    35    29    29    28    36\n",
      "[54,]    25    25    53    58    41    38    43    43    36    31    34    45\n",
      "[55,]    25    35    52    57    28    43    39    38    34    37    45    37\n",
      "[56,]    25    46    56    56    25    40    39    36    37    37    43    43\n",
      "[57,]    33    36    17    56    27    41    40    39    36    39    38    36\n",
      "[58,]    34    34    37    17    28    38    40    42    39    40    39    37\n",
      "[59,]    35    35    38    32    30    38    40    38    38    40    39    38\n",
      "[60,]    35    35    33    28    61    21    36    41    43    42    42    39\n",
      "[61,]    16    22    30    48    51    49    32    21    43    41    30    40\n",
      "[62,]     9    24    33    53    71    78    69    42    30    55    53    42\n",
      "[63,]    43    19    12    14    16    15    10     9    10    10    16    29\n",
      "[64,]    17    15    17    23    21    26    31    27    14    14    23    26\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   188   211   170   121    28    21    18     7     6     6     8     8\n",
      " [2,]    99    35    12    13     9     6     6     7     6     6     7     9\n",
      " [3,]    14     9     6     5     7     6     6     6     5     6     7     8\n",
      " [4,]     5     5     6     5     5     6     6     6     5     6     7     8\n",
      " [5,]     5     6     5     5     5     6     5     5     6     5     6     8\n",
      " [6,]     5     5     5     5     6     5     5     4     5     6     6     6\n",
      " [7,]     5     4     4     4     4     4     4     4     5     4     5     5\n",
      " [8,]     6     7     5     5     4     4     4     4     4     4     4     4\n",
      " [9,]    56    43    29    18    12     7     6     5     6     8     7     7\n",
      "[10,]   104    90    80    82    83    78    62    70    55    40    25    16\n",
      "[11,]   149   148   148   143   133   131   120    86    46    24    43    65\n",
      "[12,]    80    96   104   109   117   119   100    75    27    37    62    89\n",
      "[13,]    11    15    20    25    34    40    36    26    19    45    74    93\n",
      "[14,]    12    10    11    10    10    10     9    16    41    57    67    81\n",
      "[15,]    15    14    14    17    17    17    18    15    21    25    31    42\n",
      "[16,]    12    12    10     9    10    11    11    10    13    19    29    39\n",
      "[17,]    54    34    26    20    13     7     7     8    15    22    35    44\n",
      "[18,]    42    45    35    29    26    31    40    33    12    43    70    82\n",
      "[19,]     6     7    16    26    30    26    26    24    18    53    73    79\n",
      "[20,]     5     5     5     6     6    11    17    19    28    43    49    70\n",
      "[21,]     5     5     4     4     4     6     9    12    50    65    67    64\n",
      "[22,]     5     6     6     4     4     5     5     9    17    39    48    60\n",
      "[23,]     8     7     7     6     5     5     4     5     7    17    21    45\n",
      "[24,]     9     9     8     7     7     5     5     5     9    13    10    38\n",
      "[25,]     9     9     9     8     8     7     6     6     7     7    12    25\n",
      "[26,]     9     9     9     8     8     8     7     6     7     8    11    11\n",
      "[27,]    10     8     8     9     8     8     7     7     8    13    10     8\n",
      "[28,]    10     9    10    10     8     9     8     8     7    17    12    10\n",
      "[29,]     9    10     9     9     8     8     7     7     8    25    17    17\n",
      "[30,]    10     8     9     8     9     7     9     9    17    39    38    14\n",
      "[31,]     9     9     9     8     8     8     8     9    24    62    43    18\n",
      "[32,]    10     9     9     8     9     9     9    19    51   100    32    11\n",
      "[33,]     9     8     8    11     9    10    25    34    63    69    24    10\n",
      "[34,]    22    14    14    11    17    37    32    23    44    41    13    24\n",
      "[35,]    31    34    17    15    69    24    10    17    21    25    26    12\n",
      "[36,]    14    16    17    52    37    18    21    23    12    21    17    16\n",
      "[37,]    39    24    29    31    26    30    21    23    48    30    49    52\n",
      "[38,]    39    27    14    18    28    14    11    23    43    40    19    11\n",
      "[39,]    21    16    21    12    14    17    49    32    20    21    15    19\n",
      "[40,]    26    20    29    22    18    13    14    13    16    10    11    14\n",
      "[41,]    21    18    40    21    26    18    12    19    14    12    12    32\n",
      "[42,]    25    36    27    16    15    12    16    23    24    20    15    23\n",
      "[43,]    13    18    13    24    25    28    27    27    27    12    11    16\n",
      "[44,]    14    21    32    28    28    27    26    27    28    21    19    18\n",
      "[45,]    20    32    30    29    27    28    28    22    14    17    19    18\n",
      "[46,]    33    30    29    30    34    32    30    11    20    34    42    19\n",
      "[47,]    28    30    30    32    29    30    27    19    30    26    14    15\n",
      "[48,]    30    22    23    19    20    24    12    32    19    17    12    11\n",
      "[49,]    14    19    35    14    12    49    41    34    32    16    12    10\n",
      "[50,]    29    41    29    12    65    67    31    13    23    13    13    19\n",
      "[51,]    34    43    46    41    41    55    26    27    25    18    16    15\n",
      "[52,]    28    57    51    54    50    41    36    34    22    16    17    18\n",
      "[53,]    48    71    62    47    38    39    45    32    23    19    19    21\n",
      "[54,]    72    62    54    41    38    35    49    34    19    17    18    34\n",
      "[55,]    45    46    41    34    33    37    53    38    22    21    22    22\n",
      "[56,]    34    31    36    38    38    43    52    43    20    15    15    11\n",
      "[57,]    35    35    39    38    40    47    43    22    11    11    15    10\n",
      "[58,]    34    38    38    41    48    59    35    16    14     8     6     8\n",
      "[59,]    38    40    40    45    53    35    28    13     8     7     6    12\n",
      "[60,]    42    38    48    49    68    42    14     9     6     7     8    11\n",
      "[61,]    45    44    35    27    23    21    15    10     7     8    10    14\n",
      "[62,]    31    21    22    26    24    18    11     6     5     7    12    14\n",
      "[63,]    19    22    24    23    17    18    11     8     5     7    13    11\n",
      "[64,]    29    24    22    22    19    15     9     5     3     5    12    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]    10    12    12\n",
      " [2,]    10    11    13\n",
      " [3,]    10    10    12\n",
      " [4,]     9    10    11\n",
      " [5,]    10    10    11\n",
      " [6,]     7     9    10\n",
      " [7,]     5     7     7\n",
      " [8,]     4     4     4\n",
      " [9,]     7     5     4\n",
      "[10,]    12     8    22\n",
      "[11,]    92   128   166\n",
      "[12,]   123   180   205\n",
      "[13,]   132   167   173\n",
      "[14,]    97   119   153\n",
      "[15,]    60    75   102\n",
      "[16,]    49    52    67\n",
      "[17,]    54    55    52\n",
      "[18,]    83    80    73\n",
      "[19,]    85    87    86\n",
      "[20,]    70    62    72\n",
      "[21,]    59    48    60\n",
      "[22,]    77    68    55\n",
      "[23,]    71    80    53\n",
      "[24,]    49    50    43\n",
      "[25,]    28    20    20\n",
      "[26,]    17    13    10\n",
      "[27,]    11     8     5\n",
      "[28,]    14    14     8\n",
      "[29,]    12    14    17\n",
      "[30,]    11    15    23\n",
      "[31,]     8    11    15\n",
      "[32,]    10    22    18\n",
      "[33,]    24    38    35\n",
      "[34,]    23    32    27\n",
      "[35,]    15    31    38\n",
      "[36,]    18    57    72\n",
      "[37,]    33    23    35\n",
      "[38,]    15    29    26\n",
      "[39,]    27    25    25\n",
      "[40,]    16    15    11\n",
      "[41,]    55    79    70\n",
      "[42,]    52    76    61\n",
      "[43,]    16     8     9\n",
      "[44,]    11    10    13\n",
      "[45,]    12    11    14\n",
      "[46,]    10     9    16\n",
      "[47,]    11    12    16\n",
      "[48,]    13    12    18\n",
      "[49,]    12    13    14\n",
      "[50,]    23    16    18\n",
      "[51,]    25    49    58\n",
      "[52,]    23    37    63\n",
      "[53,]    34    36    42\n",
      "[54,]    33    24    34\n",
      "[55,]    11    13    34\n",
      "[56,]    13    23    11\n",
      "[57,]     8    12    11\n",
      "[58,]    11     9    10\n",
      "[59,]    13    13    15\n",
      "[60,]    14    15    16\n",
      "[61,]    15    17    18\n",
      "[62,]    16    17    19\n",
      "[63,]    11    22    22\n",
      "[64,]    11    11    21\n",
      "\n",
      ", , 20, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   13   10   11   12   11   11   10   11   11    11    12    11    13\n",
      " [2,]   11   11   12   11   12   11   12   13   12    11    12    11    12\n",
      " [3,]   12   11   12   12   12   12   12   13   11    12    12    12    11\n",
      " [4,]   11   12   11   12   11   12   12   12   11    11    12    13    13\n",
      " [5,]   12   12   11   12   12   11   11   11   12    13    11    12    13\n",
      " [6,]   12   10   11   10   11   12   12   12   12    12    13    13    14\n",
      " [7,]   12   12   13   13   12   12   11   12   12    12    11    11    12\n",
      " [8,]   11   13   12   12   10   12   11   13   13    12    12    12    11\n",
      " [9,]   10   11   11   11   11   13   12   12   11    11    11    11    10\n",
      "[10,]   13   13   12   12   12   12   12   12   10     9    11    10     9\n",
      "[11,]   12   12   12   12   11   12   10   10    9     8     8     7     7\n",
      "[12,]   12   11   11   11   11   11   11    9    8     7     5     4     5\n",
      "[13,]   12   12   11   10   10    9    7    8    6     6     5     4     5\n",
      "[14,]   12   12   12   11    8    6    5    5    5     4     5     7     7\n",
      "[15,]   12   10    9    8    7    5    4    5    5     7     9    32    62\n",
      "[16,]   11    8    7    4    5    5    5    7   12    45    76   103   123\n",
      "[17,]    9    7    6    5    5    7   13   42   73   104   117   140   128\n",
      "[18,]    6    5    5    7    5   41   75  104  134   144   157   122   104\n",
      "[19,]    5    5    6   16   66  104  136  142  161   155   136    81   107\n",
      "[20,]    6    7   26   85  127  146  165  157  149   131    46    84    79\n",
      "[21,]    7   26   98  139  158  161  140  110   72    50    68    56    87\n",
      "[22,]   22   97  155  159  150  138  113   52   22    36    53    73    61\n",
      "[23,]   85  153  153  154  134  117   34   16   24    59    55    65    91\n",
      "[24,]  140  153  147   98   79   75   26   35   39    53    52    26    67\n",
      "[25,]  156  150  111   61   42   21   37   29   91    98    44    41    21\n",
      "[26,]  149  147   74   58   21   37   76   90   84    56    55    17    23\n",
      "[27,]  151  128  103   61   45   37   56   96  102    59    30    23    17\n",
      "[28,]  143  123  121   50   30   47   57   81   88    58    27    23    14\n",
      "[29,]  145  127  102  104   47   69   79   81   60    30    13    12    10\n",
      "[30,]  142  128  122  103   74   82   86   61   51    33    21    14    10\n",
      "[31,]  137  127  111   91   93   88   72   68   57    35    24    12     8\n",
      "[32,]  138  123  103  114   95  101   87   62   53    38    18    10    10\n",
      "[33,]  134  109   96  118  101   81   68   53   46    36    18    12    10\n",
      "[34,]  132  122  102  106   95   74   70   67   53    39    20    12    11\n",
      "[35,]  129  121   86   84   87   76   78   71   61    44    28    13    11\n",
      "[36,]  129  122   82   83   83   88   88   84   70    58    35    15    13\n",
      "[37,]  123  124   84   89   94   91   93   78   65    49    25    12    17\n",
      "[38,]  111  124  103   77   72   75   86   88   70    49    19    19    14\n",
      "[39,]   87  122  107   70   91   70   89   88   65    42    26    14    14\n",
      "[40,]   73  122  118   91   48   48   84   77   68    51    35    28    21\n",
      "[41,]   62  112  127  114   68   17   17   28   51    36    34    37    17\n",
      "[42,]   51   90  102   78   26   24   16   18   18    21    34    37    19\n",
      "[43,]   41   68  115   94   22   12   14   12   15    28    48    37    23\n",
      "[44,]   23   49  106  107   83   16   14   19   24    40    43    32    21\n",
      "[45,]   15   28   83  104   95   34   18   28   34    56    58    39    32\n",
      "[46,]   19   19   38  103   91   60   29   30   56    71    76    56    34\n",
      "[47,]   55   18   28   86   88   72   56   66   74    37    80    68    42\n",
      "[48,]   81   22   28   60   79   66   60   62   56    50    45    60    43\n",
      "[49,]   93   50   28   44   65   57   66   52   70    62    57    38    21\n",
      "[50,]  108   68   21   40   47   57   56   63   52    59    64    58    57\n",
      "[51,]  117   82   15   31   31   52   49   49   52    54    49    47    51\n",
      "[52,]  130   87   26   20   24   31   38   38   39    37    35    39    37\n",
      "[53,]  144   91   47   38   35   27   30   22   24    26    22    19    16\n",
      "[54,]  153  100   71   64   57   35   30   29   19    19    22    24    33\n",
      "[55,]  151  100   81   72   71   50   44   45   26    29    35    37    35\n",
      "[56,]  158  103   81   68   73   69   56   50   44    43    45    49    43\n",
      "[57,]  154  100   69   64   69   69   63   61   67    56    50    48    49\n",
      "[58,]  136   95   60   44   58   60   67   69   74    65    57    52    49\n",
      "[59,]  120   93   55   20   39   50   62   60   63    52    50    47    41\n",
      "[60,]   98   80   43   12   13   26   49   53   43    34    38    32    27\n",
      "[61,]   82   74   37    9    9   12   15   22   29    22    17    20    20\n",
      "[62,]   71   51   22   10    9    9    9   10   12    11    13    13    24\n",
      "[63,]   61   46   22   11    8    8    8   10    9     9    10    10    10\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    12    11    10    10    12    10     9     9     8    21    49    83\n",
      " [2,]    12    11    12    11    10     9     8     8     8     8     8     9\n",
      " [3,]    13    12    11    11    11     9     9     8     7     7     7     7\n",
      " [4,]    12    12    12    11     9    10     9     8     7     6     7     7\n",
      " [5,]    12    12    11    12    11     9    10     7     7     7     7     6\n",
      " [6,]    12    12    11    11    11    10     9     8     6     7     6     7\n",
      " [7,]    13    12    12    11    11     9     8     7     6     7     6     6\n",
      " [8,]    11    11    11     9     9     9     8     6     7     5     5     6\n",
      " [9,]    10     9     9     8     7     6     6     5     5     4     5     5\n",
      "[10,]     8     8     6     5     4     4     4     4     4     4     4     5\n",
      "[11,]     7     5     4     4     4     4     5     6     7     7    19    31\n",
      "[12,]     4     5     4     5     7     5    25    51    56    75    75    72\n",
      "[13,]     6     7     7    31    60    83    96   109    99   110   106    85\n",
      "[14,]    27    39    82   105   134   140   137   123   101    90    64    46\n",
      "[15,]    94   117   129   150   142   133   119   104    75    45    30    22\n",
      "[16,]   129   151   146   132   127   115   102    67    32    17    17    19\n",
      "[17,]   123   105   121   118   111   100    79    27    16    19    17    20\n",
      "[18,]   120    66    63    93    85    94    37    15    22    25    20    29\n",
      "[19,]    96    43    37    82    71    26    12    17    28    29    39    56\n",
      "[20,]    95    78    74    63    39    28    20    29    38    38    56    62\n",
      "[21,]   106    79    71    55    41    26    29    51    50    72    63    64\n",
      "[22,]    84    59    51    45    22    19    54    57    72    73    69    84\n",
      "[23,]    63    48    40    21    15    30    66    78    67    57    59    63\n",
      "[24,]    34    32    18     9    10    32    76    66    47    42    31    28\n",
      "[25,]    24    18     8     7     8    40    81    54    40    33    49    43\n",
      "[26,]    18    10     8     8     8    44    67    39    41    78    83    75\n",
      "[27,]    12     8     7     7     7    29    59    72   104   120   114   101\n",
      "[28,]     9     8     7     8    10    20    46    44   103   135   131   121\n",
      "[29,]    10     8     9     9    10    15    39    36    91   123   132   126\n",
      "[30,]     8     9     9     8     9     9    36    37    41    60    91   117\n",
      "[31,]     8    10     9     9     8     9    37    41    41    34    34    44\n",
      "[32,]    11     9     8     8     8     9    21    41    46    49    46    44\n",
      "[33,]    11    10     9     8     8     8     8    10    20    26    31    72\n",
      "[34,]    10     9     8     9    10     9    10    10     9     9    12     6\n",
      "[35,]    11    11     9     9    10    10    10    10    13    11    18    13\n",
      "[36,]    13    10    10    12    10    10    10     9    10    20    42    62\n",
      "[37,]    13    10     9    11     9    11    10    11    15    42    51    52\n",
      "[38,]    13    10    11    10    12    11    10    14    35    47    36    39\n",
      "[39,]    14    11    10    12    12    13    15    28    49    49    53    50\n",
      "[40,]    12    12    13    12    10    12    17    46    43    46    48    46\n",
      "[41,]    13    16    21    10    12    13    25    46    43    43    43    41\n",
      "[42,]    14    28    27    13    12    13    39    45    43    41    43    40\n",
      "[43,]    16    24    15    14    13    13    33    41    44    42    38    41\n",
      "[44,]    15    14    13    12    11    18    34    40    45    38    42    39\n",
      "[45,]    15    15    14    12    11    17    36    42    37    40    40    40\n",
      "[46,]    15    14    13    15    12    15    32    43    40    41    45    43\n",
      "[47,]    18    12    14    14    13    17    30    37    37    49    46    39\n",
      "[48,]    24    17    13    14    15    21    41    38    36    35    30    39\n",
      "[49,]    23    16    15    17    17    20    39    39    44    45    44    40\n",
      "[50,]    29    14    20    19    19    25    41    32    36    43    43    40\n",
      "[51,]    35    19    20    18    18    21    48    42    29    39    44    45\n",
      "[52,]    37    17    34    27    17    17    23    28    24    28    34    45\n",
      "[53,]    24    17    21    33    25    18    21    17    18    19    24    38\n",
      "[54,]    18    18    14    18    40    34    21    18    17    17    15    21\n",
      "[55,]    30    20    15    18    17    19    28    27    20    18    15    34\n",
      "[56,]    33    26    23    19    20    13    19    17    17    16    15    17\n",
      "[57,]    42    30    25    19    20    21    13    12    14    16    18    24\n",
      "[58,]    45    37    30    16    17    19    19    15    18    12    21    15\n",
      "[59,]    38    34    28    19    17    16    15    14    15    15    13    16\n",
      "[60,]    25    23    21    24    24    22    23    22    14    14    13    13\n",
      "[61,]    24    23    27    34    53    57    60    59    40    21    10    13\n",
      "[62,]    30    34    39    39    49    61    71    73    78    76    57    25\n",
      "[63,]    11    20    30    38    35    43    57    76    95    90    85    85\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]   101   121   136   152   152   153   145   154   157   158   150   161\n",
      " [2,]    22    43    70    99   114   124   132   137   133   137   141   140\n",
      " [3,]     8     7     8     8    26    47    84   109   133   148   151   156\n",
      " [4,]     6     6     7     6     7     8     8     8     8    10    19    23\n",
      " [5,]     7     7     6     6     6     6     6     6     7     6     8     9\n",
      " [6,]     6     6     6     6     6     6     6     6     7     6     6     6\n",
      " [7,]     6     6     6     6     6     6     6     6     6     6     6     7\n",
      " [8,]     5     5     6     8     8    13     7     6     6     9    10    21\n",
      " [9,]     4     4     4     4     9     9     8     8    23    41    38    35\n",
      "[10,]     6     6     6     9    12    15    19    52    56    45    32    23\n",
      "[11,]    41    41    44    32    23    23    53    79    83    64    31    33\n",
      "[12,]    71    61    56    49    46    42    70    88    78    36    88    80\n",
      "[13,]    73    54    30    22    22    23    41    43    16    45    58    66\n",
      "[14,]    26    21    20    21    19    18    21    17    19    20    33    23\n",
      "[15,]    19    25    26    18    17    21    19    17    23    26    24    23\n",
      "[16,]    19    28    28    26    15    18    23    16    32    38    44    46\n",
      "[17,]    22    17    23    26    31    29    25    35    43    55    53    62\n",
      "[18,]    30    38    50    63    68    61    61    54    60    67    70    76\n",
      "[19,]    60    60    53    57    65    74    75    63    73   101    94    91\n",
      "[20,]    61    78    80    82    81    88    98   111   106   112   100    83\n",
      "[21,]    72    79    94    74    71    75    88   117   122   137   134    66\n",
      "[22,]    71    80    63    85    60   101   110   119   127   142    92    33\n",
      "[23,]    58    67    87    88    93   109   114   122   132    98    28    18\n",
      "[24,]    29    39    40    61    86   104   115   122    89    21    19    10\n",
      "[25,]    31    26    29    53    65    60    47    30    16    16    12     7\n",
      "[26,]    61    49    28    34    65    80    49    42    13     9     8     6\n",
      "[27,]    74    83    46    26    31    47    85    13    13     7     7     8\n",
      "[28,]    89    86    72    51    90    80    13    10     7     8     8     9\n",
      "[29,]   104    99    54    56    62     9     8     8     7     7     8    10\n",
      "[30,]    56    57    25    26    10     7     8     7     8     9     9    10\n",
      "[31,]    19    27    13    15     8     8     8    10    10     9     9     9\n",
      "[32,]    43    13    17     9    10     9     9     8     9     9    10    10\n",
      "[33,]    11    16    10    10     9    10    11    10    10     8    10    10\n",
      "[34,]    15    21    28    24    22    21    17    13    19    14    14    15\n",
      "[35,]    46    52    45    39    35    26    23    25    24    24    28    18\n",
      "[36,]    59    52    51    48    32    28    37    26    31    35    31    36\n",
      "[37,]    40    44    41    37    30    39    31    25    24    19    24    39\n",
      "[38,]    29    36    43    26    28    25    19    19    17    14    12    16\n",
      "[39,]    35    34    40    36    32    19    18    17    19    15    15    14\n",
      "[40,]    45    36    33    34    26    24    21    22    16    21    22    20\n",
      "[41,]    42    39    35    35    35    33    24    38    15    17    24    26\n",
      "[42,]    49    37    37    40    41    39    28    25    19    26    30    31\n",
      "[43,]    35    34    38    37    24    21    15    27    35    29    37    23\n",
      "[44,]    34    34    36    34    15    16    23    29    26    21    20    27\n",
      "[45,]    36    37    37    34    21    26    20    31    25    18    24    19\n",
      "[46,]    43    40    41    34    25    18    24    24    25    20    21    16\n",
      "[47,]    37    32    22    22    21    26    22    26    28    18    27    29\n",
      "[48,]    32    29    25    25    23    33    38    34    39    28    26    34\n",
      "[49,]    31    26    31    24    35    42    33    40    38    28    31    37\n",
      "[50,]    33    29    27    33    42    30    33    33    30    34    35    36\n",
      "[51,]    37    35    32    35    36    40    40    34    42    35    35    38\n",
      "[52,]    45    42    34    32    37    45    39    42    42    38    30    29\n",
      "[53,]    30    42    41    34    36    24    21    19    24    26    17    19\n",
      "[54,]    27    12    22    20    22    28    29    31    31    12    64    33\n",
      "[55,]    29    33    32    38    33    36    35    36    40    36    18    36\n",
      "[56,]    17    30    32    33    33    35    37    37    39    36    35    21\n",
      "[57,]    12    16    24    30    33    35    34    35    36    36    33    34\n",
      "[58,]    42    21    16    13    26    34    34    34    36    35    36    37\n",
      "[59,]    40    64    39    21    12    24    34    36    37    35    35    36\n",
      "[60,]    12    26    72    66    42    21    17    25    34    34    36    35\n",
      "[61,]    12    11    10    24    80    89    57    15    17    18    24    24\n",
      "[62,]    18    10    10     9     9    11    54    61    34    25    10    10\n",
      "[63,]    76    39    19    13     9    15    26    10    10    40    51    47\n",
      "[64,]     0    47    51    60    45    12     8     8    11    20    26    18\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   147   146   157   163   157   137   158   155   156   149   161   180\n",
      " [2,]   137   141   147   142   142   145   148   154   159   167   176   173\n",
      " [3,]   155   157   160   157   162   165   161   153   113    52    26    16\n",
      " [4,]    41    44    55    39    18    11    11    10    12     9     6     6\n",
      " [5,]     9     9     9     9     7     6     7     7     6     6     5     5\n",
      " [6,]     6     6     6     6     6     6     6     5     5     5     6     5\n",
      " [7,]     8     9     8     9     9    10     9    10     9    10     9     6\n",
      " [8,]    28    32    37    38    35    31    23    25    25    35    23    10\n",
      " [9,]    30    27    24    26    25    26    26    35    52    73    82    74\n",
      "[10,]    23    28    36    41    40    27    35    72    86   109   104   114\n",
      "[11,]    40    36    37    31    19    32    48    69    96   100   120   132\n",
      "[12,]    52    38    25    14    15    21    33    39    40    44    51    63\n",
      "[13,]    58    28    17    15    14    11    10    11    11    11    10     9\n",
      "[14,]    20    26    15    18    14    11    12    14    13    16    17    12\n",
      "[15,]    21    19    11     9    19    14    16    17    15    14    12    15\n",
      "[16,]    31    30    31    22    10    35    47    53    63    60    27    13\n",
      "[17,]    58    47    46    39    25    58    57    76    74    64    64    71\n",
      "[18,]    71    68    72    31    21    20    15    18    31    35    37    39\n",
      "[19,]    89    97    32    14    14     7     5     6     8     6     5     6\n",
      "[20,]    84    32    11     5     5     4     4     4     5     4     4     5\n",
      "[21,]    34     8     5     4     4     5     5     4     4     4     4     4\n",
      "[22,]    14     9     5     4     5     5     5     5     5     5     6     6\n",
      "[23,]     8     6     5     5     6     6     7     8     7     7     7     8\n",
      "[24,]     7     5     6     7     8     9     8    10     9    11     9    10\n",
      "[25,]     6     7     7     7     8     9     9    10    11     9    10    10\n",
      "[26,]     7    10     9    10    10     9    10     9    10    10    10     9\n",
      "[27,]     8     9     9    10    11    11    12    11    10    10    10    10\n",
      "[28,]     9    10     9    10    10    10    10    10    10    10    10     9\n",
      "[29,]    10    10    10    10    11    10     9    10    10    11    10     9\n",
      "[30,]     9     9    10     9    10    10    10    10    11    10    10     9\n",
      "[31,]     8     9    10     9     9    10     9     9    11     9     9     9\n",
      "[32,]    10    10     9     9    10     9    10    10    11     9    10    10\n",
      "[33,]     9     9     9    10     9     9     9     9    10    12     9     9\n",
      "[34,]    18    23    17    15    14    14    13    13    13    16    18    20\n",
      "[35,]    36    19    18    45    39    21    25    28    20    17    24    30\n",
      "[36,]    40    24    30    46    57    48    29    30    38    41    23    19\n",
      "[37,]    36    29    25    32    32    39    37    33    32    41    25    21\n",
      "[38,]    21    30    30    28    31    28    36    39    36    18    19    26\n",
      "[39,]    14    19    23    21    18    31    36    33    38    18    23    18\n",
      "[40,]    23    19    19    17    22    30    30    30    34    46    28    35\n",
      "[41,]    33    22    15    19    25    34    31    41    29    38    38    20\n",
      "[42,]    29    31    24    28    31    36    39    13    28    31    38    41\n",
      "[43,]    18    28    30    41    36    40    17    30    23    29    27    21\n",
      "[44,]    21    28    30    34    39    21    24    39    34    37    26    20\n",
      "[45,]    18    21    19    37    31    23    31    56    54    45    34    21\n",
      "[46,]    24    23    25    37    12    21    33    44    53    43    41    29\n",
      "[47,]    31    26    40    26    19    20    26    32    43    40    39    30\n",
      "[48,]    38    41    29    18    29    25    20    26    38    41    42    34\n",
      "[49,]    39    37    19    17    31    27    14    15    16    20    15    10\n",
      "[50,]    36    24    17    39    35    18    17    15    23    42    40    39\n",
      "[51,]    30    21    42    53    41    14    25    39    37    34    33    38\n",
      "[52,]    43    53    30    59    46    17    34    37    32    29    29    35\n",
      "[53,]    27    19    47    57    36    24    42    34    33    32    31    34\n",
      "[54,]    26    31    55    57    40    38    41    42    37    30    35    47\n",
      "[55,]    28    37    52    57    32    41    39    38    34    36    45    37\n",
      "[56,]    25    45    56    56    24    40    39    37    39    35    42    45\n",
      "[57,]    34    34    16    57    27    42    40    42    38    42    40    38\n",
      "[58,]    32    35    35    16    30    37    39    42    38    39    37    35\n",
      "[59,]    35    36    35    31    33    37    40    39    39    39    39    37\n",
      "[60,]    36    36    34    30    56    20    38    39    43    42    39    40\n",
      "[61,]    17    23    29    45    51    46    33    22    42    40    32    40\n",
      "[62,]     9    23    34    53    71    78    68    41    31    55    56    43\n",
      "[63,]    44    23    11    13    18    19    11     9    13    12    16    32\n",
      "[64,]    18    13    14    24    21    25    31    28    17    13    20    27\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   188   212   171   122    28    20    18     7     6     7     7     8\n",
      " [2,]    98    35    13    13     8     7     6     6     6     6     7     8\n",
      " [3,]    13     8     6     6     6     7     7     6     6     6     7     8\n",
      " [4,]     6     5     5     5     5     6     5     6     6     6     7     8\n",
      " [5,]     6     6     6     5     5     5     6     6     6     6     7     8\n",
      " [6,]     4     5     4     5     5     5     5     5     5     6     6     5\n",
      " [7,]     4     4     4     4     4     4     4     5     5     5     4     5\n",
      " [8,]     7     8     6     5     4     4     4     4     4     4     4     4\n",
      " [9,]    57    43    29    18    13     8     7     6     6     6     8     8\n",
      "[10,]   106    91    81    82    82    79    65    70    56    40    27    16\n",
      "[11,]   152   150   149   143   134   132   122    87    47    25    42    66\n",
      "[12,]    82    97   105   109   119   118   101    76    27    37    64    89\n",
      "[13,]    12    16    21    24    33    40    36    27    19    44    73    93\n",
      "[14,]    11     9    10     9    10     9     9    16    41    57    68    80\n",
      "[15,]    16    15    15    17    17    15    19    16    21    26    32    43\n",
      "[16,]    12    11     9    10    10    11    13    10    14    20    28    38\n",
      "[17,]    54    34    26    19    12     8     7     9    13    23    35    44\n",
      "[18,]    43    48    36    30    27    29    39    35    13    41    70    84\n",
      "[19,]     6     7    16    26    30    27    27    23    17    56    73    80\n",
      "[20,]     5     5     6     5     6    11    19    20    29    42    50    71\n",
      "[21,]     4     5     5     4     3     5     7    10    51    68    68    64\n",
      "[22,]     5     4     5     5     4     5     6    10    16    40    46    60\n",
      "[23,]     6     7     6     6     6     4     4     5     7    17    20    42\n",
      "[24,]     9     9     8     7     6     5     5     6    10    13     8    35\n",
      "[25,]    10     9     8     8     7     7     6     6     7     8    13    25\n",
      "[26,]     9     9     9     9     8     7     7     7     7     9    12    12\n",
      "[27,]     9     9     9     8     8     8     8     8     9    13     9     8\n",
      "[28,]    10    10     9     9     8     8     8     8     7    18    11    10\n",
      "[29,]    11    10     9     8     8     8     9     7     9    27    16    17\n",
      "[30,]     8     9     9     9     8     8     7     7    15    34    38    14\n",
      "[31,]    10    10     9     8     7     8     7     7    25    58    48    17\n",
      "[32,]     8     8     9     8     8     8    10    17    48   103    33    13\n",
      "[33,]     9     9     9    10     9    12    23    36    61    67    28    10\n",
      "[34,]    20    15    15    11    18    38    31    21    43    46    12    24\n",
      "[35,]    31    36    19    18    61    32    10    19    21    28    26    10\n",
      "[36,]    14    15    17    53    39    19    24    23    15    20    16    17\n",
      "[37,]    39    22    27    31    29    31    20    25    49    31    48    47\n",
      "[38,]    37    31    12    20    27    14    11    23    46    41    21    12\n",
      "[39,]    20    16    23    12    15    16    43    30    24    22    14    19\n",
      "[40,]    27    24    28    25    17    15    13    12    13    10    12    15\n",
      "[41,]    20    15    41    24    29    17    14    20    15    14    11    31\n",
      "[42,]    26    36    26    15    14    10    13    24    24    21    14    21\n",
      "[43,]    12    19    15    22    25    27    26    26    25    15    12    15\n",
      "[44,]    12    18    32    26    28    27    27    27    28    23    21    23\n",
      "[45,]    21    30    27    30    29    28    26    20    12    14    20    19\n",
      "[46,]    34    35    29    29    30    34    34    11    23    37    41    20\n",
      "[47,]    29    29    28    36    30    28    26    19    29    30    17    15\n",
      "[48,]    31    19    23    21    19    24    15    32    18    17    13    10\n",
      "[49,]    13    17    33    14    13    53    42    35    32    16    13     9\n",
      "[50,]    29    42    30    14    63    69    30    14    25    13    14    20\n",
      "[51,]    32    45    47    45    41    52    26    26    27    17    17    17\n",
      "[52,]    28    57    51    54    51    42    36    35    21    16    16    17\n",
      "[53,]    48    70    61    43    39    42    47    35    23    19    20    21\n",
      "[54,]    69    59    51    41    36    38    49    34    20    19    19    31\n",
      "[55,]    46    47    42    36    36    36    56    36    22    20    23    23\n",
      "[56,]    35    34    37    37    37    43    51    44    18    14    16    11\n",
      "[57,]    35    36    39    40    40    49    41    24    12    12    15     9\n",
      "[58,]    35    39    36    40    50    58    39    15    13    11     7     8\n",
      "[59,]    41    40    40    46    54    34    26    13     8     7     7    12\n",
      "[60,]    41    40    47    45    68    40    14     8     6     7     8    12\n",
      "[61,]    45    44    35    26    23    20    16    10     8     8     9    13\n",
      "[62,]    30    19    23    24    24    18    12     6     5     7    12    13\n",
      "[63,]    22    22    25    24    21    18    10     8     6     7    13    12\n",
      "[64,]    28    23    22    23    19    15     7     5     4     5    11    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]     9    12    13\n",
      " [2,]    10    12    13\n",
      " [3,]    10    11    13\n",
      " [4,]     9    10    12\n",
      " [5,]     9     9    11\n",
      " [6,]     6     8    10\n",
      " [7,]     5     8     8\n",
      " [8,]     4     4     5\n",
      " [9,]     7     5     4\n",
      "[10,]    12     7    21\n",
      "[11,]    92   126   167\n",
      "[12,]   124   181   206\n",
      "[13,]   131   169   173\n",
      "[14,]    96   120   154\n",
      "[15,]    59    75   103\n",
      "[16,]    51    54    67\n",
      "[17,]    55    55    52\n",
      "[18,]    85    81    74\n",
      "[19,]    87    89    88\n",
      "[20,]    71    62    72\n",
      "[21,]    60    52    60\n",
      "[22,]    79    69    54\n",
      "[23,]    73    83    56\n",
      "[24,]    49    50    44\n",
      "[25,]    29    22    21\n",
      "[26,]    17    14     9\n",
      "[27,]    12     9     5\n",
      "[28,]    16    14     7\n",
      "[29,]    13    13    17\n",
      "[30,]    11    14    22\n",
      "[31,]     9    10    15\n",
      "[32,]     9    20    20\n",
      "[33,]    21    42    36\n",
      "[34,]    25    28    24\n",
      "[35,]    13    29    38\n",
      "[36,]    17    56    76\n",
      "[37,]    32    23    35\n",
      "[38,]    15    26    28\n",
      "[39,]    27    23    24\n",
      "[40,]    17    14    12\n",
      "[41,]    57    74    63\n",
      "[42,]    50    78    58\n",
      "[43,]    13     8     8\n",
      "[44,]    12    11    11\n",
      "[45,]    15    11    14\n",
      "[46,]    10    11    14\n",
      "[47,]    13    11    16\n",
      "[48,]    12    14    19\n",
      "[49,]    12    14    16\n",
      "[50,]    21    17    19\n",
      "[51,]    26    50    58\n",
      "[52,]    24    37    61\n",
      "[53,]    34    39    40\n",
      "[54,]    33    26    35\n",
      "[55,]    11    13    35\n",
      "[56,]    13    25    11\n",
      "[57,]     8    11    11\n",
      "[58,]    12     9    10\n",
      "[59,]    13    12    16\n",
      "[60,]    13    16    16\n",
      "[61,]    14    18    17\n",
      "[62,]    16    17    19\n",
      "[63,]    10    23    23\n",
      "[64,]    10    11    22\n",
      "\n",
      ", , 21, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   11   11   11   11   11   12   11   11   11    10    11    11    11\n",
      " [2,]   12   12   11   11   12   12   12   12   11    12    12    12    12\n",
      " [3,]   10   12   12   13   13   11   12   13   11    13    11    12    11\n",
      " [4,]   12   12   11   12   12   10   12   12   11    12    11    11    13\n",
      " [5,]   11   13   12   11   12   13   13   12   13    11    11    13    11\n",
      " [6,]   12   13   12   12   12   12   11   12   13    12    11    13    13\n",
      " [7,]   13   12   12   12   12   12   13   12   11    13    11    11    14\n",
      " [8,]   11   12   11   12   12   11   11   10   12    13    13    12    12\n",
      " [9,]   11   12   12   11   12   11   11   11   12    12    11    12    11\n",
      "[10,]   12   11   12   12   11   12   12   12   10    11    10    11    10\n",
      "[11,]   11   12   12   12   12   11   12   12    9     9     7     8     7\n",
      "[12,]   12   12   11   13   12   11    9    9    8     6     5     5     4\n",
      "[13,]   11   12   12   11   10    9    8    7    6     6     5     4     5\n",
      "[14,]   12   12   10   10    8    6    5    5    5     4     5     8     8\n",
      "[15,]   10    9    9    8    7    5    4    5    6     7    11    33    60\n",
      "[16,]   11    9    7    5    6    4    5    7   11    45    75   104   124\n",
      "[17,]    9    7    6    5    5    7   12   41   75   102   117   140   129\n",
      "[18,]    6    6    5    6    5   40   74  103  133   145   158   123   105\n",
      "[19,]    5    5    6   16   67  104  137  141  161   155   136    81   107\n",
      "[20,]    6    7   27   85  128  147  166  157  148   128    49    85    77\n",
      "[21,]    7   27   98  139  157  161  140  111   72    47    65    58    88\n",
      "[22,]   20   95  157  159  151  138  114   52   21    39    53    73    61\n",
      "[23,]   87  151  152  154  135  118   31   14   23    58    56    64    92\n",
      "[24,]  141  153  147   98   80   73   27   35   39    53    53    22    66\n",
      "[25,]  157  149  112   62   38   21   37   27   89   100    41    43    20\n",
      "[26,]  150  148   74   58   22   38   75   91   83    56    57    14    22\n",
      "[27,]  152  129  104   62   46   39   57   96  102    58    31    24    18\n",
      "[28,]  145  122  125   51   31   46   57   82   88    57    25    23    14\n",
      "[29,]  145  128  104  103   45   69   81   84   59    31    12    14    11\n",
      "[30,]  143  127  121  105   74   80   83   59   51    33    23    14     9\n",
      "[31,]  139  126  111   91   90   91   72   65   56    36    25    12    10\n",
      "[32,]  137  123  102  109   96  102   86   63   54    38    20    11     9\n",
      "[33,]  134  111   96  118  102   81   72   55   48    36    17    11     9\n",
      "[34,]  134  123  102  109   95   74   71   65   51    40    20    13    11\n",
      "[35,]  130  119   86   86   87   75   77   72   62    43    29    13    11\n",
      "[36,]  128  121   80   83   86   89   89   83   70    60    34    13    13\n",
      "[37,]  124  124   89   90   91   89   94   78   66    50    28    13    14\n",
      "[38,]  112  124  102   75   71   74   88   88   70    49    19    19    12\n",
      "[39,]   89  120  103   69   93   72   87   90   66    44    26    15    16\n",
      "[40,]   71  127  120   94   43   47   83   78   71    51    35    27    23\n",
      "[41,]   66  111  130  112   60   18   19   26   51    39    35    36    15\n",
      "[42,]   54   89  105   79   24   22   13   14   18    26    36    40    18\n",
      "[43,]   36   69  116   89   19   16   14   14   16    26    46    37    25\n",
      "[44,]   25   50  107  104   81   16   13   19   24    40    43    32    24\n",
      "[45,]   16   25   82  109   94   33   16   29   36    53    59    40    31\n",
      "[46,]   18   18   41  102   92   64   32   28   55    63    76    52    34\n",
      "[47,]   53   16   24   85   89   69   57   62   69    37    83    63    39\n",
      "[48,]   82   22   32   55   81   68   64   64   57    49    43    60    44\n",
      "[49,]   93   50   30   46   64   56   69   55   68    64    54    37    29\n",
      "[50,]  106   69   23   41   46   58   55   63   58    59    63    57    60\n",
      "[51,]  115   83   15   28   32   48   46   47   55    57    51    42    49\n",
      "[52,]  132   87   23   21   24   30   39   37   38    37    36    34    36\n",
      "[53,]  148   91   44   31   31   28   30   26   21    28    21    19    18\n",
      "[54,]  153   98   68   63   55   38   29   28   21    18    23    28    30\n",
      "[55,]  153  101   80   70   68   49   42   43   28    32    35    41    36\n",
      "[56,]  157  103   81   68   69   72   62   51   48    43    45    48    48\n",
      "[57,]  152  102   70   61   70   66   63   62   67    53    48    47    47\n",
      "[58,]  135   98   59   42   56   60   65   68   71    65    55    54    54\n",
      "[59,]  120   91   54   22   37   53   64   59   61    53    50    46    44\n",
      "[60,]   93   78   45   14   15   28   49   54   44    35    34    34    27\n",
      "[61,]   81   71   35   10   10   11   14   24   32    20    17    16    20\n",
      "[62,]   71   54   24   11    9    9    8   10   11    12    12    14    23\n",
      "[63,]   59   46   23    9    8    9    8   10   10     8     9    10     9\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    10    11    12    10    10    10    10     9     8    20    49    87\n",
      " [2,]    12    10    11    11    10     9     9     8     7     8     8     7\n",
      " [3,]    11    12    12    11    10     9    10     8     7     7     6     7\n",
      " [4,]    13    12    12    11    10     9     9     8     7     6     6     6\n",
      " [5,]    12    13    12    11    10    10     9     8     7     6     6     6\n",
      " [6,]    12    12    11    11    11    10     8     7     7     6     6     6\n",
      " [7,]    12    10    11    11    10     9     8     7     7     7     6     5\n",
      " [8,]    12    11    11    11    10     9     7     6     5     6     5     6\n",
      " [9,]    11    10     9     8     7     7     6     6     5     4     5     5\n",
      "[10,]     8     8     5     5     5     4     5     4     4     4     4     6\n",
      "[11,]     6     6     5     5     4     4     5     7     7     6    18    30\n",
      "[12,]     4     4     4     6     7     6    25    51    57    75    73    71\n",
      "[13,]     6     8     7    31    60    84    96   109   101   110   107    85\n",
      "[14,]    28    39    80   104   132   140   137   123   100    91    64    46\n",
      "[15,]    93   115   126   150   142   131   118   102    74    43    29    21\n",
      "[16,]   128   153   145   131   126   116   100    64    32    17    18    19\n",
      "[17,]   124   104   120   118   110   100    77    26    16    20    16    19\n",
      "[18,]   119    63    63    94    84    91    35    16    22    25    19    28\n",
      "[19,]    95    41    37    81    70    25    13    17    28    29    39    56\n",
      "[20,]    95    77    75    65    40    25    20    29    37    37    54    61\n",
      "[21,]   104    79    72    53    39    26    31    51    49    72    62    62\n",
      "[22,]    85    60    51    45    22    23    54    57    73    72    70    84\n",
      "[23,]    62    48    42    21    15    35    68    77    67    56    60    62\n",
      "[24,]    34    32    19     8    10    36    75    65    45    41    32    27\n",
      "[25,]    25    17     8     7     8    47    80    51    39    30    46    42\n",
      "[26,]    18     9     8     8     9    52    68    39    41    79    85    80\n",
      "[27,]    12     9     8     7     7    32    59    73   105   120   112   101\n",
      "[28,]     9     8     7     8    10    24    49    44   109   138   124   119\n",
      "[29,]    10     8     8     8    10    17    43    31    88   122   132   124\n",
      "[30,]     9     9    10     9     8    11    37    37    42    63   100   124\n",
      "[31,]    10     9     8     9     8    10    37    39    42    34    36    50\n",
      "[32,]    13    10     8     9     8     8    24    40    46    50    44    42\n",
      "[33,]    11     9     9     8     8     8     9     9    21    30    33    70\n",
      "[34,]    12    10     9     9     8     9    10    10     9    10    15     7\n",
      "[35,]    11    12    10     9     9     9    11    11    11    11    18    14\n",
      "[36,]    14    10     9    12    12    10     9    10    10    19    43    61\n",
      "[37,]    13    10    11    12    10    11    10    10    15    44    51    53\n",
      "[38,]    13    11    11    10    12    10    10    18    35    49    39    41\n",
      "[39,]    17    10     9    10    11    12    12    26    51    53    54    49\n",
      "[40,]    13    14    13    12    11    11    15    43    45    44    52    46\n",
      "[41,]    14    13    23    11    11    13    23    48    43    44    45    42\n",
      "[42,]    16    31    27    12    12    13    36    44    43    41    46    41\n",
      "[43,]    17    21    13    13    12    14    33    43    44    39    40    42\n",
      "[44,]    15    15    13    12    12    17    36    40    40    40    41    43\n",
      "[45,]    15    13    13    12    13    15    36    40    41    40    41    39\n",
      "[46,]    14    15    13    15    14    14    33    45    40    42    45    44\n",
      "[47,]    18    13    13    17    13    16    28    37    38    44    42    38\n",
      "[48,]    22    15    13    12    15    23    42    37    37    32    30    37\n",
      "[49,]    24    16    15    16    16    26    43    42    44    45    46    43\n",
      "[50,]    30    14    19    18    17    24    39    31    35    46    40    39\n",
      "[51,]    40    18    22    14    17    23    50    43    26    36    43    40\n",
      "[52,]    32    20    32    25    18    20    22    29    23    26    35    44\n",
      "[53,]    22    19    23    35    30    20    22    19    16    23    26    36\n",
      "[54,]    17    18    14    18    44    37    24    18    19    19    15    18\n",
      "[55,]    29    26    15    17    19    17    25    26    20    17    15    39\n",
      "[56,]    34    25    20    18    20    16    17    16    19    16    16    18\n",
      "[57,]    41    29    24    19    19    21    15    13    14    17    16    23\n",
      "[58,]    46    40    30    22    19    18    17    15    15    12    24    18\n",
      "[59,]    39    36    32    17    17    15    15    14    17    15    13    15\n",
      "[60,]    25    22    25    24    26    22    21    20    13    15    14    13\n",
      "[61,]    25    25    29    33    51    55    62    60    41    20    12    12\n",
      "[62,]    29    31    36    41    50    59    73    74    76    75    55    26\n",
      "[63,]    13    19    29    35    37    43    59    79    94    90    86    85\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]   104   120   135   151   151   152   147   154   157   160   153   161\n",
      " [2,]    21    40    70    98   116   123   133   136   132   135   140   139\n",
      " [3,]     7     7     8    10    26    49    86   110   134   148   149   155\n",
      " [4,]     6     7     7     7     7     7     8     6     7    10    18    24\n",
      " [5,]     6     6     6     6     6     6     6     6     8     8     8     8\n",
      " [6,]     6     6     5     6     7     6     6     6     6     7     6     6\n",
      " [7,]     6     6     5     6     6     5     6     6     6     6     6     7\n",
      " [8,]     6     5     5     8     8    12     7     6     7     9    12    20\n",
      " [9,]     4     6     5     4     8     9     8     7    22    39    37    33\n",
      "[10,]     6     5     6     9    10    15    18    50    55    44    32    22\n",
      "[11,]    42    43    45    31    23    21    53    79    82    63    31    34\n",
      "[12,]    70    61    54    48    44    41    71    88    78    36    89    81\n",
      "[13,]    73    52    29    22    25    23    40    43    16    45    58    70\n",
      "[14,]    25    22    20    21    20    18    21    17    19    19    33    23\n",
      "[15,]    20    25    25    19    18    22    19    15    23    25    25    22\n",
      "[16,]    19    27    28    25    15    19    23    17    30    37    43    46\n",
      "[17,]    20    15    22    27    29    29    27    34    42    54    52    61\n",
      "[18,]    30    39    50    62    66    59    60    56    62    72    72    76\n",
      "[19,]    57    59    53    57    65    72    74    62    72    99    97    93\n",
      "[20,]    61    79    80    79    80    87    97   113   104   108   102    83\n",
      "[21,]    71    79    97    75    67    76    85   119   125   130   134    71\n",
      "[22,]    74    80    66    87    55    96   111   118   124   141   109    33\n",
      "[23,]    57    68    85    87    96   107   118   124   131   115    28    17\n",
      "[24,]    31    42    41    67    91   110   118   119    96    23    18     9\n",
      "[25,]    28    25    29    54    61    57    41    33    13    14    11     6\n",
      "[26,]    61    46    25    33    68    78    52    35    14    10     7     6\n",
      "[27,]    81    76    45    26    27    31    81     8    14     7     7     7\n",
      "[28,]    86    84    69    47    84    88    13    12     8     8     7     8\n",
      "[29,]   110    96    56    50    67     8     8     9     8     8     9     9\n",
      "[30,]    54    56    20    30     9     8     7     8     7     9     7    10\n",
      "[31,]    21    25    13    15     7     9     8     9     9    10     9    10\n",
      "[32,]    40    13    17    12    10     9     9     8     9     9    10     9\n",
      "[33,]    12    17    13    10    10    10     9    10    10    10    10     9\n",
      "[34,]    14    19    28    26    20    24    17    12    16    17    17    16\n",
      "[35,]    47    52    44    39    35    28    22    23    24    22    28    18\n",
      "[36,]    58    53    49    43    34    28    40    28    32    35    28    35\n",
      "[37,]    42    43    43    38    29    38    31    26    21    20    22    37\n",
      "[38,]    31    38    43    30    31    31    17    17    17    17    12    18\n",
      "[39,]    41    33    35    34    29    20    16    18    17    13    13    15\n",
      "[40,]    47    37    36    36    27    20    22    20    15    19    20    20\n",
      "[41,]    42    38    35    36    32    30    25    37    16    18    27    25\n",
      "[42,]    45    35    36    38    43    43    32    27    22    22    28    31\n",
      "[43,]    37    34    40    32    26    18    14    25    32    30    33    24\n",
      "[44,]    36    38    32    29    17    16    22    30    28    22    24    25\n",
      "[45,]    37    37    37    32    19    24    19    29    21    18    22    17\n",
      "[46,]    43    39    39    33    23    15    20    21    23    19    21    18\n",
      "[47,]    35    34    22    18    20    25    23    31    29    21    27    33\n",
      "[48,]    32    25    28    27    26    34    39    33    35    29    29    34\n",
      "[49,]    32    26    28    23    28    39    36    40    36    26    32    36\n",
      "[50,]    31    29    25    28    41    30    32    34    28    36    31    36\n",
      "[51,]    34    34    30    37    37    37    39    38    43    36    35    37\n",
      "[52,]    43    42    37    34    38    41    42    40    39    37    31    27\n",
      "[53,]    31    36    41    38    36    25    21    21    22    25    17    20\n",
      "[54,]    28    11    19    20    20    26    29    32    28    13    66    37\n",
      "[55,]    32    36    35    37    34    37    36    34    39    35    19    40\n",
      "[56,]    16    26    32    34    31    34    35    34    36    36    32    24\n",
      "[57,]    12    15    20    27    35    35    34    37    37    37    34    31\n",
      "[58,]    42    19    16    12    24    31    36    36    36    35    33    32\n",
      "[59,]    39    64    37    20    11    21    32    36    38    35    36    38\n",
      "[60,]    11    25    70    67    44    17    15    24    31    37    37    37\n",
      "[61,]    11    11     9    23    77    91    58    16    18    21    22    21\n",
      "[62,]    16    11     9     9    10     7    54    61    33    24    10    10\n",
      "[63,]    76    40    17    10     9    15    26     8    12    39    49    48\n",
      "[64,]     0    45    51    58    41    10     9     8    12    21    26    18\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   149   148   159   162   157   139   160   155   153   153   160   178\n",
      " [2,]   134   140   147   141   142   147   150   157   157   165   177   173\n",
      " [3,]   153   155   161   160   163   164   161   152   113    54    25    16\n",
      " [4,]    40    42    56    39    18    14    10    10    12     9     6     6\n",
      " [5,]     9    10    10    10     7     7     7     6     6     5     6     6\n",
      " [6,]     6     6     6     6     7     6     6     6     6     5     5     5\n",
      " [7,]     7     9     8     7     9     9     8     9     8     9     9     6\n",
      " [8,]    29    31    38    37    33    29    23    24    24    36    24    10\n",
      " [9,]    30    28    24    26    25    27    26    35    52    74    80    74\n",
      "[10,]    24    28    34    42    42    28    36    71    85   107   103   114\n",
      "[11,]    41    37    38    31    18    32    48    70    95   100   121   132\n",
      "[12,]    55    38    25    14    14    21    32    39    41    44    52    63\n",
      "[13,]    63    30    17    14    13    10    10    12    11    12    10     9\n",
      "[14,]    20    26    14    18    14    11    12    12    13    16    17    13\n",
      "[15,]    23    19    12    10    17    13    15    16    15    14    11    14\n",
      "[16,]    31    29    31    21    11    32    47    57    64    60    26    15\n",
      "[17,]    58    48    45    36    26    60    58    75    74    65    63    71\n",
      "[18,]    71    66    70    33    21    18    15    17    30    34    37    40\n",
      "[19,]    90    95    32    14    14     8     5     6     6     5     5     5\n",
      "[20,]    82    32    12     5     5     4     4     4     5     4     5     5\n",
      "[21,]    35     9     6     5     4     4     4     4     4     4     4     4\n",
      "[22,]    15     9     6     5     5     5     5     5     5     5     5     5\n",
      "[23,]     8     7     6     5     6     6     7     8     7     8     8     8\n",
      "[24,]     6     6     7     7     7     8     9     9     8    10    10    10\n",
      "[25,]     7     7     8     7     8     9    10    10     8    11     9     9\n",
      "[26,]     7     8     9    10     9     9    10    10     9    10    10    10\n",
      "[27,]     8     8     9    10    10    12    11    10    10    11    10     9\n",
      "[28,]    10     9     9    10    10    10    11    11     9     9    10     9\n",
      "[29,]    10    10    10    11    10    10    10    10     9    10     9    10\n",
      "[30,]     9     9    10     9     9    10    11    10    11    10     9    10\n",
      "[31,]     9    10     9    10    10    11     9     9     9    11    10     8\n",
      "[32,]    10     8    10     9    10    10    10     9    10    10     9    11\n",
      "[33,]    10     8    10     9    10     9     9    10     9    10    10    10\n",
      "[34,]    17    19    17    13    13    13    12    13    13    16    15    20\n",
      "[35,]    39    19    18    45    39    20    27    27    20    21    26    26\n",
      "[36,]    41    25    28    44    57    48    32    29    39    40    26    18\n",
      "[37,]    37    28    28    30    33    36    40    39    38    42    23    19\n",
      "[38,]    21    30    32    28    29    30    37    37    37    20    19    25\n",
      "[39,]    14    18    21    19    19    32    36    32    33    14    24    24\n",
      "[40,]    22    18    19    16    19    30    29    30    36    46    28    37\n",
      "[41,]    32    25    18    20    28    34    31    42    22    36    31    19\n",
      "[42,]    31    33    23    24    31    36    37    19    30    24    32    35\n",
      "[43,]    20    28    29    40    33    38    17    26    18    32    31    25\n",
      "[44,]    23    27    28    31    35    22    26    38    42    40    29    21\n",
      "[45,]    19    21    20    40    30    22    30    47    59    46    31    23\n",
      "[46,]    20    23    25    32    12    21    29    45    46    36    38    28\n",
      "[47,]    33    26    38    33    19    19    27    36    38    37    35    26\n",
      "[48,]    41    40    29    19    30    27    20    22    32    39    44    39\n",
      "[49,]    39    36    19    18    32    25    16    14    16    19    15    10\n",
      "[50,]    35    25    19    42    37    19    18    18    21    40    40    38\n",
      "[51,]    31    24    39    52    40    15    27    36    36    36    34    37\n",
      "[52,]    44    49    29    57    45    19    34    36    33    30    32    34\n",
      "[53,]    27    20    49    57    39    26    43    36    32    31    26    35\n",
      "[54,]    29    29    54    56    41    37    43    39    40    30    35    46\n",
      "[55,]    28    39    52    56    30    42    42    39    36    39    45    34\n",
      "[56,]    27    45    53    55    25    39    37    39    39    37    43    45\n",
      "[57,]    32    36    17    57    28    40    39    39    38    40    40    36\n",
      "[58,]    35    36    34    15    31    38    40    41    37    39    38    36\n",
      "[59,]    36    36    40    33    30    35    38    39    39    40    39    35\n",
      "[60,]    37    36    35    28    56    19    35    40    41    41    40    41\n",
      "[61,]    18    23    30    44    55    45    32    23    42    36    31    39\n",
      "[62,]    10    24    33    54    71    80    70    43    29    54    57    43\n",
      "[63,]    42    23    12    13    17    15    10     8    11    12    14    31\n",
      "[64,]    17    15    17    21    22    26    33    28    14    14    21    25\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   187   206   167   120    26    20    17     7     6     7     7     9\n",
      " [2,]    98    34    12    14     8     7     6     6     6     6     7     8\n",
      " [3,]    14    10     6     6     6     7     6     6     7     6     7     8\n",
      " [4,]     6     7     5     5     6     6     5     6     6     6     8     7\n",
      " [5,]     6     5     5     5     5     5     6     5     6     6     7     8\n",
      " [6,]     5     5     5     5     4     4     5     5     5     5     6     6\n",
      " [7,]     4     4     4     4     4     5     4     4     4     5     5     5\n",
      " [8,]     8     7     6     5     4     4     4     4     4     4     4     4\n",
      " [9,]    57    43    30    18    12     8     6     5     6     7     8     8\n",
      "[10,]   106    92    80    81    82    79    65    71    56    41    26    17\n",
      "[11,]   152   150   149   143   133   133   124    88    46    25    42    67\n",
      "[12,]    81    96   106   110   120   119   100    78    27    37    64    89\n",
      "[13,]    12    16    20    25    33    40    35    26    19    45    75    95\n",
      "[14,]    11    10    10    10    11    10     9    16    40    57    67    81\n",
      "[15,]    16    15    14    17    16    14    18    16    21    25    32    43\n",
      "[16,]    14    13    10     9     9    11    12    11    13    18    28    40\n",
      "[17,]    54    34    26    19    12     8     7     7    13    25    36    44\n",
      "[18,]    42    46    36    28    25    29    39    35    13    40    71    86\n",
      "[19,]     7     7    14    26    30    28    27    25    18    54    71    81\n",
      "[20,]     5     5     5     5     6    11    18    20    27    41    51    70\n",
      "[21,]     4     4     4     4     4     5     8    11    50    69    68    62\n",
      "[22,]     5     5     5     5     4     4     5     9    15    37    50    60\n",
      "[23,]     8     7     6     6     5     4     4     5     7    16    20    42\n",
      "[24,]     9     8     9     7     7     6     5     6     9    11     8    32\n",
      "[25,]    10     9     8     8     7     7     6     6     7     8    12    24\n",
      "[26,]     9     9    11     8     8     7     7     7     7     8    12    10\n",
      "[27,]    10     8     9     9     8     8     7     7     7    11     9     9\n",
      "[28,]     9     8     9     9     9     8     8     9     8    18    11     8\n",
      "[29,]     9    10     9    10     9     9     8     7     9    27    18    17\n",
      "[30,]    10     9     8     9     8     9     8     7    14    33    38    14\n",
      "[31,]     9     9     9     9     8     9     7     8    25    54    45    21\n",
      "[32,]     9     9     8     9     8     8     9    15    47   106    35    14\n",
      "[33,]     8     9     9    10     8    11    20    34    56    71    28    10\n",
      "[34,]    19    16    16    11    20    35    31    24    44    46    12    22\n",
      "[35,]    30    35    16    21    55    36     9    19    21    26    25    14\n",
      "[36,]    13    13    17    52    41    20    23    24    17    18    18    16\n",
      "[37,]    36    23    23    29    30    35    19    24    52    32    51    48\n",
      "[38,]    36    31    12    22    29    18    11    20    46    43    20    12\n",
      "[39,]    23    17    20    11    14    15    45    34    23    19    15    18\n",
      "[40,]    27    24    29    26    17    13    11    13    14    11    14    13\n",
      "[41,]    21    14    42    21    30    19    13    18    19    14    13    30\n",
      "[42,]    23    37    22    16    16    11    13    23    22    22    14    20\n",
      "[43,]    13    18    17    20    28    28    28    25    28    13    12    18\n",
      "[44,]    18    17    32    25    27    26    25    29    28    25    21    19\n",
      "[45,]    23    36    27    31    29    30    28    21    13    12    20    17\n",
      "[46,]    33    35    30    31    30    36    32    11    22    35    44    21\n",
      "[47,]    29    29    28    34    27    29    27    19    31    28    15    13\n",
      "[48,]    34    23    26    21    18    25    15    30    19    17    12    10\n",
      "[49,]    12    19    35    13    12    54    41    36    31    16    13    11\n",
      "[50,]    30    37    32    15    65    65    33    13    27    12    13    20\n",
      "[51,]    32    43    47    42    42    55    26    29    27    18    16    18\n",
      "[52,]    28    57    53    55    47    42    33    32    22    16    18    18\n",
      "[53,]    45    71    63    43    37    42    47    35    23    20    19    18\n",
      "[54,]    68    62    51    41    39    35    50    34    21    17    20    32\n",
      "[55,]    47    47    42    35    36    38    55    38    21    22    24    26\n",
      "[56,]    34    32    35    38    38    42    49    42    18    16    17    12\n",
      "[57,]    35    34    40    40    39    45    47    23    11    13    14     9\n",
      "[58,]    34    40    40    39    48    59    39    16    15    11     7     8\n",
      "[59,]    40    39    41    45    53    36    26    14     9     6     6    11\n",
      "[60,]    39    37    50    48    69    40    14     7     6     7     9    12\n",
      "[61,]    45    46    36    26    24    20    18    11     7     7     9    13\n",
      "[62,]    31    21    21    24    21    18    11     6     5     8    12    14\n",
      "[63,]    20    21    24    24    22    18    12     9     5     7    13    11\n",
      "[64,]    28    22    23    23    19    16     8     5     3     5    12    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]    10    12    12\n",
      " [2,]    10    10    13\n",
      " [3,]    10    12    12\n",
      " [4,]     9    10    11\n",
      " [5,]     7     9    10\n",
      " [6,]     7     9     9\n",
      " [7,]     6     8     7\n",
      " [8,]     5     5     5\n",
      " [9,]     7     5     4\n",
      "[10,]    13     7    22\n",
      "[11,]    93   129   165\n",
      "[12,]   126   182   207\n",
      "[13,]   133   169   173\n",
      "[14,]    97   120   154\n",
      "[15,]    58    75   102\n",
      "[16,]    51    54    66\n",
      "[17,]    56    55    53\n",
      "[18,]    85    82    76\n",
      "[19,]    88    89    86\n",
      "[20,]    71    61    72\n",
      "[21,]    58    53    59\n",
      "[22,]    79    68    53\n",
      "[23,]    72    83    56\n",
      "[24,]    47    50    44\n",
      "[25,]    28    22    21\n",
      "[26,]    18    15    11\n",
      "[27,]    13    10     6\n",
      "[28,]    14    15     6\n",
      "[29,]    11    13    19\n",
      "[30,]    11    15    21\n",
      "[31,]    11     8    15\n",
      "[32,]    10    19    20\n",
      "[33,]    20    42    37\n",
      "[34,]    24    30    22\n",
      "[35,]    13    29    35\n",
      "[36,]    17    59    77\n",
      "[37,]    31    21    35\n",
      "[38,]    16    28    30\n",
      "[39,]    25    26    25\n",
      "[40,]    16    12    10\n",
      "[41,]    57    71    62\n",
      "[42,]    51    78    59\n",
      "[43,]    15     8     8\n",
      "[44,]    13    11    12\n",
      "[45,]    12    10    14\n",
      "[46,]    12    11    15\n",
      "[47,]    13    11    16\n",
      "[48,]    11    13    20\n",
      "[49,]    14    15    17\n",
      "[50,]    24    18    18\n",
      "[51,]    29    49    59\n",
      "[52,]    24    37    62\n",
      "[53,]    34    40    41\n",
      "[54,]    37    25    36\n",
      "[55,]    12    13    34\n",
      "[56,]    14    25    11\n",
      "[57,]     8    13    12\n",
      "[58,]     9     8    10\n",
      "[59,]    13    12    15\n",
      "[60,]    14    17    16\n",
      "[61,]    14    18    18\n",
      "[62,]    16    16    19\n",
      "[63,]    10    22    24\n",
      "[64,]    10    10    21\n",
      "\n",
      ", , 22, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   11   12    9   10   10   12   11   12   11    11    11    11    11\n",
      " [2,]   10   11   11   10   13   11   12   11   10    11    11    11    12\n",
      " [3,]   11   12   11   11   12   11   11   11   11    13    12    12    11\n",
      " [4,]   11   11   14   12   12   11   11   13   12    12    12    12    13\n",
      " [5,]   11   11   11   13   12   11   11   11   12    13    11    12    12\n",
      " [6,]   10   12   12   11   12   11   11   11   11    12    12    12    11\n",
      " [7,]   12   12   11   12   12   12   11   11   12    13    11    12    12\n",
      " [8,]   11   12   12   12   11   12   13   12   11    12    12    11    13\n",
      " [9,]   12   11   11   12   11   11   12   11   11    11    10    10    10\n",
      "[10,]   12   13   11   11   11   13   11   11   13    12    10    10     9\n",
      "[11,]   11   12   11   12   12   11   11   10    9     9     9     7     7\n",
      "[12,]   12   12   10   12   12   11    9   10    8     6     5     5     4\n",
      "[13,]   11   12   12   10   10    8    8    7    6     5     4     4     4\n",
      "[14,]   12   11   11    9    8    6    6    5    5     5     5     6     5\n",
      "[15,]   11   10    9    8    7    6    5    5    6     6     8    31    60\n",
      "[16,]   10    8    6    5    5    4    5    7   11    43    74   101   123\n",
      "[17,]    9    7    5    5    5    5   10   40   72   102   114   138   127\n",
      "[18,]    6    5    5    5    5   38   74  103  132   142   154   121   105\n",
      "[19,]    5    5    8   14   65  103  135  141  160   154   133    79   104\n",
      "[20,]    5    7   25   83  126  145  163  154  145   126    46    83    78\n",
      "[21,]    7   26   98  138  153  158  137  106   71    50    64    57    87\n",
      "[22,]   18   94  155  157  150  137  112   50   21    38    53    73    59\n",
      "[23,]   83  150  153  153  132  118   31   14   22    58    54    61    89\n",
      "[24,]  138  153  143   96   80   75   25   35   38    52    55    26    67\n",
      "[25,]  157  146  109   59   42   21   38   28   86   103    42    39    22\n",
      "[26,]  147  146   72   56   20   38   76   86   82    55    56    17    22\n",
      "[27,]  149  128  102   61   45   39   56   95  100    57    32    24    18\n",
      "[28,]  142  120  122   49   31   46   55   81   85    57    26    26    15\n",
      "[29,]  143  127  104  102   44   67   83   81   61    29    12    15    10\n",
      "[30,]  140  127  122  100   71   77   82   57   51    34    20    16    11\n",
      "[31,]  138  123  109   86   90   88   74   65   56    34    26    12    11\n",
      "[32,]  136  119  101  110   95   99   83   61   56    38    20    10    10\n",
      "[33,]  133  109   95  118  101   79   71   55   47    37    18    11    10\n",
      "[34,]  132  120  100  105   93   71   69   63   50    41    20    13    10\n",
      "[35,]  128  120   85   81   84   74   76   71   61    47    31    12    11\n",
      "[36,]  126  120   79   79   83   85   87   80   71    56    35    14    15\n",
      "[37,]  121  122   86   87   87   87   92   79   67    47    27    12    16\n",
      "[38,]  109  124  100   77   72   73   87   85   67    47    21    18    14\n",
      "[39,]   86  120  102   65   85   71   87   83   65    43    24    14    15\n",
      "[40,]   72  125  118   92   47   45   79   73   70    54    38    24    23\n",
      "[41,]   66  112  130  114   64   20   18   25   50    39    33    41    18\n",
      "[42,]   49   90  107   83   24   23   15   13   14    22    33    39    18\n",
      "[43,]   38   67  117   91   20   13   12   16   17    27    45    42    25\n",
      "[44,]   28   46  106  104   77   16   12   19   25    39    39    34    20\n",
      "[45,]   16   24   80  105   95   34   16   26   38    60    61    41    31\n",
      "[46,]   20   19   39  101   92   62   32   29   54    61    74    51    35\n",
      "[47,]   54   13   24   82   89   71   52   59   71    37    79    65    39\n",
      "[48,]   80   19   27   55   75   68   63   63   54    47    42    59    41\n",
      "[49,]   92   48   28   41   65   60   65   54   66    62    52    33    22\n",
      "[50,]  105   72   18   40   47   54   56   58   54    59    61    56    55\n",
      "[51,]  115   80   14   30   35   45   46   48   51    55    51    42    46\n",
      "[52,]  126   88   24   21   22   29   34   35   39    39    34    35    35\n",
      "[53,]  146   91   47   35   29   26   29   21   19    28    21    18    17\n",
      "[54,]  152   97   71   67   56   33   29   28   18    17    23    28    27\n",
      "[55,]  150  101   78   69   71   51   43   45   27    30    38    40    39\n",
      "[56,]  156  101   83   68   70   69   56   51   47    44    44    48    48\n",
      "[57,]  150  100   72   62   67   64   63   60   66    52    46    49    48\n",
      "[58,]  134   98   60   43   53   58   62   66   71    65    59    53    52\n",
      "[59,]  117   87   54   21   37   54   59   58   62    56    50    46    41\n",
      "[60,]   94   81   42   12   14   26   49   52   43    35    39    32    26\n",
      "[61,]   83   73   35    9    8   11   14   22   31    22    15    20    20\n",
      "[62,]   70   50   23   11    9    8    9   10   11    10    13    14    22\n",
      "[63,]   59   45   24   11    9    9    9    9    9     9    10     8    10\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    11    12    12    11     9     9     8     8     8    19    49    82\n",
      " [2,]    13    11    10    11    10    10     8     8     8     8     7     8\n",
      " [3,]    11    12    11    11    11    10     9     7     7     7     6     7\n",
      " [4,]    12    12    12    11    10    10     8     7     7     7     6     6\n",
      " [5,]    11    12    12    11    11    10     9     7     6     6     7     6\n",
      " [6,]    12    11    12    12    11     9     8     8     6     6     7     6\n",
      " [7,]    12    11    10    10     9     8     7     7     6     6     6     6\n",
      " [8,]    12    10    12    11     9     8     7     6     5     6     6     5\n",
      " [9,]    10     9     9     7     6     6     5     6     6     5     4     4\n",
      "[10,]     9     7     5     4     4     4     4     4     4     4     4     5\n",
      "[11,]     6     5     5     4     4     4     5     7     7     7    19    31\n",
      "[12,]     4     5     5     7     7     5    25    51    56    73    73    71\n",
      "[13,]     6     7     8    30    60    81    93   107    98   109   104    83\n",
      "[14,]    27    38    80   104   131   137   133   120    99    89    64    45\n",
      "[15,]    92   114   126   147   138   130   116   102    71    42    28    22\n",
      "[16,]   127   150   142   128   125   113    98    62    32    17    17    19\n",
      "[17,]   121   103   118   116   108    97    75    25    18    18    15    20\n",
      "[18,]   118    64    61    92    83    87    35    16    22    25    19    27\n",
      "[19,]    91    38    37    80    69    26    11    18    27    28    38    54\n",
      "[20,]    95    73    72    61    38    25    18    30    37    39    52    59\n",
      "[21,]   101    79    70    55    40    25    30    50    54    71    61    63\n",
      "[22,]    84    58    50    45    23    22    55    54    71    72    69    83\n",
      "[23,]    61    48    41    21    13    37    64    74    62    56    60    67\n",
      "[24,]    32    30    17     9    11    40    73    64    44    40    33    27\n",
      "[25,]    23    19     8     7     8    50    79    51    41    30    40    38\n",
      "[26,]    19     9     8     8     9    55    68    37    45    80    84    81\n",
      "[27,]    14     9     7     8     8    35    57    74   106   113   107    95\n",
      "[28,]     9     7     8     8     9    28    49    44   105   132   128   117\n",
      "[29,]     8     8     8    11    10    18    43    31    81   118   121   120\n",
      "[30,]     9     8    10    10     7    11    40    36    40    64   103   116\n",
      "[31,]     8     8     9     8     8     9    39    36    38    35    38    57\n",
      "[32,]    12     9     8     8     8    10    28    40    45    46    40    37\n",
      "[33,]    11     9     8     8     8     8    10     9    23    32    29    63\n",
      "[34,]    10     9     9     8    10     9     9    10     9     9    17     4\n",
      "[35,]    11    11    10     8     9    11    10     9    11    12    16    12\n",
      "[36,]    15    11    10    12    11    10    11    11    12    18    40    58\n",
      "[37,]    14    11    10    12    11     9     9    11    19    42    51    54\n",
      "[38,]    15    11    11    11    10    11    11    17    32    44    39    39\n",
      "[39,]    14    12    11    11    11    12    15    27    49    53    52    48\n",
      "[40,]    14    13    11    12    10    11    13    41    41    40    45    50\n",
      "[41,]    12    15    20    12    13    13    23    50    43    42    45    42\n",
      "[42,]    16    28    28    13    10    14    35    46    43    39    41    37\n",
      "[43,]    15    22    14    13    12    15    35    41    41    40    40    40\n",
      "[44,]    16    15    17    13    12    15    36    45    38    36    37    40\n",
      "[45,]    16    15    13    12    13    15    36    37    39    39    37    42\n",
      "[46,]    15    13    14    13    13    15    33    43    37    39    47    40\n",
      "[47,]    18    13    14    17    17    18    26    37    38    51    43    34\n",
      "[48,]    20    15    16    14    16    20    46    36    35    37    28    39\n",
      "[49,]    25    15    14    17    13    20    43    40    41    48    42    46\n",
      "[50,]    30    17    18    18    16    23    42    33    38    45    43    40\n",
      "[51,]    37    17    20    15    19    22    50    45    24    36    44    39\n",
      "[52,]    32    17    32    26    17    19    23    27    22    29    39    44\n",
      "[53,]    21    17    24    34    30    18    20    18    15    21    25    34\n",
      "[54,]    18    22    14    17    46    37    25    20    18    18    15    18\n",
      "[55,]    31    23    16    15    17    16    30    25    19    17    14    44\n",
      "[56,]    35    24    19    19    18    16    14    16    18    17    14    18\n",
      "[57,]    44    32    26    20    21    19    17    12    16    15    13    25\n",
      "[58,]    48    41    32    20    15    19    17    15    18    12    24    17\n",
      "[59,]    41    35    29    19    15    15    13    14    15    15    12    16\n",
      "[60,]    26    23    24    24    26    22    21    16    12    16    14    15\n",
      "[61,]    24    22    28    34    51    58    60    57    41    21    11    13\n",
      "[62,]    30    33    36    40    50    57    71    75    77    74    51    26\n",
      "[63,]    14    21    27    35    36    44    56    76    93    88    84    83\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]   103   120   133   148   147   149   145   152   156   156   149   157\n",
      " [2,]    21    40    68    98   113   122   131   135   133   133   138   138\n",
      " [3,]     6     8     8    10    27    48    83   107   132   147   147   154\n",
      " [4,]     7     6     6     6     7     7     8     7     6     9    18    22\n",
      " [5,]     6     6     5     6     6     6     6     6     7     7     8     9\n",
      " [6,]     7     6     6     5     6     6     5     7     6     7     6     5\n",
      " [7,]     6     6     5     6     5     5     6     6     6     6     6     8\n",
      " [8,]     6     6     5     7     8    12     7     6     7     8    11    20\n",
      " [9,]     4     5     4     5     8     9     7     7    23    38    37    33\n",
      "[10,]     6     6     6     9    11    16    17    49    54    43    31    22\n",
      "[11,]    41    42    44    30    23    21    50    77    81    61    30    35\n",
      "[12,]    69    59    54    47    44    40    69    87    76    35    88    81\n",
      "[13,]    71    51    28    22    23    22    38    42    16    45    58    71\n",
      "[14,]    25    21    20    22    19    19    21    18    17    19    33    22\n",
      "[15,]    19    24    26    19    19    22    18    15    22    25    26    22\n",
      "[16,]    18    27    27    24    16    20    23    16    32    37    43    46\n",
      "[17,]    21    16    22    26    29    30    28    33    42    54    52    60\n",
      "[18,]    30    38    47    60    63    60    60    54    60    73    74    76\n",
      "[19,]    55    56    51    57    66    72    74    62    74    97    96    93\n",
      "[20,]    59    78    78    77    79    88    98   110   103   107   101    82\n",
      "[21,]    69    81    93    70    69    73    84   113   114   127   136    76\n",
      "[22,]    75    80    66    85    50    93   109   117   123   135   120    33\n",
      "[23,]    58    70    86    88    99   108   118   120   128   126    31    18\n",
      "[24,]    30    44    43    74    93   110   116   116   102    30    18    11\n",
      "[25,]    28    26    31    57    60    49    43    36    14    14    13     7\n",
      "[26,]    58    40    28    32    71    75    57    30    15     9     7     7\n",
      "[27,]    80    67    43    26    27    23    69    10    14     7     6     7\n",
      "[28,]    93    77    63    45    77    90     9    13     8     8     8     8\n",
      "[29,]   112    91    55    48    74     7     9     7     7     8     9     9\n",
      "[30,]    54    51    21    33     8     7     9     8    10    10     9     9\n",
      "[31,]    21    21    13    12     8     8     8     8     9    10    10     8\n",
      "[32,]    37    17    16    11     8     9    10     9    10    10     9    10\n",
      "[33,]    16    15    14    11     9     9     9    10    10     9     9     9\n",
      "[34,]    11    18    30    27    22    21    15    12    17    16    14    12\n",
      "[35,]    48    52    47    37    34    27    22    20    26    22    26    16\n",
      "[36,]    56    53    52    46    34    29    36    24    29    34    29    36\n",
      "[37,]    42    43    44    33    30    36    27    26    19    23    24    39\n",
      "[38,]    31    40    42    27    25    28    18    21    17    13    11    16\n",
      "[39,]    38    37    39    33    32    20    18    16    17    14    13    13\n",
      "[40,]    42    39    38    34    26    22    19    20    15    20    20    20\n",
      "[41,]    44    38    35    35    32    32    24    36    14    16    26    28\n",
      "[42,]    43    36    37    37    43    41    31    22    19    20    26    28\n",
      "[43,]    36    33    38    35    25    15    13    28    32    31    35    24\n",
      "[44,]    33    39    32    30    16    16    23    25    28    22    25    24\n",
      "[45,]    34    39    37    34    21    24    22    29    22    19    22    19\n",
      "[46,]    43    38    41    35    23    17    19    25    26    16    19    20\n",
      "[47,]    34    32    22    22    21    25    20    31    30    21    22    30\n",
      "[48,]    33    28    26    30    26    33    37    37    38    29    32    31\n",
      "[49,]    32    28    31    25    29    40    37    36    39    30    29    39\n",
      "[50,]    34    30    27    32    44    28    35    33    26    34    35    36\n",
      "[51,]    34    33    32    33    37    36    39    40    45    36    37    36\n",
      "[52,]    43    42    36    35    37    42    43    41    41    35    29    23\n",
      "[53,]    30    38    37    37    37    28    22    19    24    23    15    19\n",
      "[54,]    29    10    19    19    22    26    29    32    30    13    62    32\n",
      "[55,]    30    35    35    36    35    37    35    36    35    34    19    40\n",
      "[56,]    17    27    33    35    34    35    33    34    35    34    31    23\n",
      "[57,]    14    15    21    30    31    35    33    35    35    34    34    33\n",
      "[58,]    41    18    17    13    23    32    35    34    34    33    35    34\n",
      "[59,]    38    64    37    18    12    21    30    32    35    35    34    35\n",
      "[60,]    10    26    70    69    42    18    17    26    30    33    37    36\n",
      "[61,]    11    12    10    24    79    89    57    17    16    18    25    23\n",
      "[62,]    16    11    11    10    11     6    50    57    32    25    11    11\n",
      "[63,]    76    40    20    10     8    15    26     8    10    39    51    45\n",
      "[64,]     0    45    51    58    42    10     8     9    13    20    25    19\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   144   147   156   161   156   136   155   153   150   153   159   177\n",
      " [2,]   133   138   145   139   142   144   146   153   154   164   174   171\n",
      " [3,]   152   155   160   154   159   163   162   149   113    52    23    15\n",
      " [4,]    40    47    57    39    18    12    11    12    11     9     6     5\n",
      " [5,]     8    10    10    11     7     6     6     6     6     6     6     5\n",
      " [6,]     5     6     6     6     5     5     6     6     6     5     5     5\n",
      " [7,]     8     9     9     8    10     8     9     9     9     8     8     6\n",
      " [8,]    30    31    37    36    34    30    24    23    24    36    23    10\n",
      " [9,]    29    28    23    26    25    25    26    35    52    73    79    73\n",
      "[10,]    23    28    35    41    41    28    36    71    86   108   103   113\n",
      "[11,]    41    37    38    31    19    32    48    70    93    99   118   130\n",
      "[12,]    56    39    25    14    14    22    32    38    38    43    51    62\n",
      "[13,]    61    31    18    15    15    11    10    11    10    10     9     8\n",
      "[14,]    19    27    14    17    14    11    12    13    14    15    16    12\n",
      "[15,]    22    19    12     9    16    14    15    15    14    13    10    14\n",
      "[16,]    30    29    32    21    10    32    47    55    62    59    27    15\n",
      "[17,]    56    48    42    35    25    60    58    75    73    63    65    71\n",
      "[18,]    70    64    67    34    21    20    15    17    29    35    37    40\n",
      "[19,]    89    91    33    15    14     7     5     6     6     7     5     5\n",
      "[20,]    79    34    12     7     5     4     5     5     4     4     4     4\n",
      "[21,]    36     9     7     5     4     4     5     4     4     4     4     4\n",
      "[22,]    17    10     5     5     4     5     5     5     5     5     5     5\n",
      "[23,]     8     6     6     5     6     7     6     7     7     7     7     7\n",
      "[24,]     7     5     6     6     8     9     8     8     8     9    10     9\n",
      "[25,]     6     8     7     7    10     9    10     8    10    10     9    10\n",
      "[26,]     7     9     9     9    11    10    10    10    10    10     8    10\n",
      "[27,]     8     9    10    10    10    10    10    11    11    10    11     9\n",
      "[28,]    10    10    10    10    10    11    11    11     9    11    10    10\n",
      "[29,]    10     9    10     9    10     9    11     9    10    10     9     9\n",
      "[30,]     9    10    10    10    10    10     9    10    10    10    10    10\n",
      "[31,]    10     9    11    10     9    10     9    10     8     8     9     8\n",
      "[32,]    10     9    10     9    10     9     9    11     9    11    10     9\n",
      "[33,]     9     8     9     8     9     8    10     9     9    11    10     9\n",
      "[34,]    15    21    15    14    12    14    13    13    12    16    14    18\n",
      "[35,]    41    17    18    44    37    23    26    23    18    18    26    25\n",
      "[36,]    37    27    30    45    58    41    36    30    39    40    32    19\n",
      "[37,]    38    27    23    33    35    37    40    35    37    41    19    18\n",
      "[38,]    21    30    33    28    27    28    38    38    35    24    22    24\n",
      "[39,]    14    24    22    18    16    34    33    34    35    12    24    22\n",
      "[40,]    18    18    19    13    18    28    27    30    38    43    22    32\n",
      "[41,]    29    22    17    21    27    31    28    43    19    34    29    25\n",
      "[42,]    30    31    23    27    32    37    37    19    30    25    32    35\n",
      "[43,]    16    26    29    34    35    37    18    24    24    40    33    24\n",
      "[44,]    22    27    27    32    39    24    23    39    45    39    27    19\n",
      "[45,]    21    21    21    37    31    21    28    49    54    39    32    25\n",
      "[46,]    23    22    23    33    14    23    27    47    41    33    38    28\n",
      "[47,]    30    26    39    28    14    20    28    35    35    36    34    26\n",
      "[48,]    40    39    32    19    30    30    18    20    32    37    42    34\n",
      "[49,]    42    37    20    18    32    24    17    12    15    18    15     9\n",
      "[50,]    35    23    20    40    38    17    17    19    21    43    40    39\n",
      "[51,]    29    23    40    54    43    15    31    38    37    34    36    35\n",
      "[52,]    43    54    30    54    46    20    33    38    32    30    31    33\n",
      "[53,]    26    20    50    54    40    24    44    35    30    29    28    33\n",
      "[54,]    29    31    56    56    38    38    43    42    40    30    36    42\n",
      "[55,]    26    38    52    58    29    42    40    36    34    36    43    35\n",
      "[56,]    26    44    55    54    26    37    36    39    35    35    39    44\n",
      "[57,]    31    37    16    56    30    40    37    41    38    39    39    36\n",
      "[58,]    33    35    34    15    30    37    40    38    37    40    36    33\n",
      "[59,]    36    34    36    33    31    36    39    41    36    39    39    38\n",
      "[60,]    36    35    33    25    54    20    37    40    42    42    40    40\n",
      "[61,]    17    23    27    45    57    44    33    22    38    37    31    38\n",
      "[62,]    10    23    32    51    72    79    67    42    29    54    53    43\n",
      "[63,]    40    21    11    14    16    16    10     9    10    10    12    30\n",
      "[64,]    17    15    14    22    23    26    30    27    15    13    20    24\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   183   206   167   117    28    19    18     7     6     7     8     9\n",
      " [2,]    97    36    10    13     9     7     6     6     6     5     7     9\n",
      " [3,]    14     9     7     6     6     6     6     6     5     5     7     9\n",
      " [4,]     6     6     6     6     6     6     5     6     6     6     7     9\n",
      " [5,]     6     6     5     5     5     5     6     6     6     6     6     7\n",
      " [6,]     5     5     5     5     4     5     5     5     5     5     6     6\n",
      " [7,]     5     4     4     4     4     4     4     5     5     5     5     5\n",
      " [8,]     8     6     6     5     5     5     4     4     5     4     4     4\n",
      " [9,]    56    43    29    17    11     9     7     5     7     7     8     7\n",
      "[10,]   104    91    80    81    82    80    65    70    55    41    25    15\n",
      "[11,]   150   148   148   142   133   131   119    86    46    24    41    65\n",
      "[12,]    79    95   104   109   117   118   100    75    27    38    64    88\n",
      "[13,]    10    15    19    26    34    40    35    25    19    44    73    92\n",
      "[14,]    11    10    10     8    10    10     9    16    41    56    66    80\n",
      "[15,]    16    15    14    17    16    16    17    15    22    24    33    43\n",
      "[16,]    13    12    10    10    10     9    11    10    12    20    29    38\n",
      "[17,]    53    34    26    20    13     8     7     8    13    24    35    43\n",
      "[18,]    41    45    37    27    26    28    39    35    12    43    69    84\n",
      "[19,]     6     7    14    26    31    28    27    25    17    54    70    81\n",
      "[20,]     5     4     5     6     6    10    18    20    28    41    49    70\n",
      "[21,]     4     4     4     4     5     6     9    10    48    67    66    62\n",
      "[22,]     5     5     5     5     5     4     5     8    16    37    49    58\n",
      "[23,]     8     7     6     6     5     4     4     4     7    16    20    40\n",
      "[24,]     9     9     9     7     6     5     5     5     8    10    10    33\n",
      "[25,]    10    10     9     8     8     6     6     5     5     6    10    21\n",
      "[26,]    10     9    11     9     6     7     7     6     6     7    12    12\n",
      "[27,]    10    10     9     8     8     8     7     6     7    10     9    10\n",
      "[28,]    10     8     9     8     8     8     8     8     8    16    11     9\n",
      "[29,]    10     9     8     8    10     9     8     7     8    23    17    19\n",
      "[30,]     8    10     8     8     8     9     8     8    12    32    41    13\n",
      "[31,]    10     9     9     8     9     8     8    10    23    51    49    21\n",
      "[32,]     9    10     9     7     8     8     8    16    43   109    36    14\n",
      "[33,]     8     9     8     9     8    11    20    32    57    76    28    10\n",
      "[34,]    20    16    16    13    21    32    31    22    42    43    11    25\n",
      "[35,]    27    34    17    18    52    38     9    20    23    26    24    16\n",
      "[36,]    13    13    18    46    40    18    20    24    14    17    20    15\n",
      "[37,]    41    25    22    28    27    32    24    19    52    34    51    50\n",
      "[38,]    34    30    11    21    32    16    12    20    44    36    20    13\n",
      "[39,]    22    17    19    11    13    12    38    31    26    17    15    15\n",
      "[40,]    25    27    28    28    19    14    12    13    14    13    14    13\n",
      "[41,]    23    15    42    22    29    20    14    19    18    13    13    31\n",
      "[42,]    22    32    21    17    12    10    14    23    23    20    12    17\n",
      "[43,]    13    18    17    20    28    26    31    24    27    14    13    15\n",
      "[44,]    15    17    32    25    28    25    27    28    26    23    22    21\n",
      "[45,]    24    31    26    31    28    30    26    20    12    12    19    16\n",
      "[46,]    32    35    28    31    29    35    29    12    23    34    44    19\n",
      "[47,]    27    28    26    33    27    31    28    22    30    32    15    13\n",
      "[48,]    32    23    25    19    16    26    13    31    20    16    11    10\n",
      "[49,]    14    18    34    16    14    46    38    34    27    15    13    11\n",
      "[50,]    30    38    31    13    62    66    34    12    25    13    13    19\n",
      "[51,]    30    43    44    42    41    57    27    28    27    17    18    16\n",
      "[52,]    31    57    51    54    48    39    34    31    22    17    17    20\n",
      "[53,]    46    69    61    44    36    41    44    36    23    18    19    20\n",
      "[54,]    69    61    49    41    36    35    49    33    22    18    18    31\n",
      "[55,]    44    46    42    34    36    38    52    37    22    23    25    26\n",
      "[56,]    34    30    36    35    39    41    50    46    18    14    18    12\n",
      "[57,]    35    35    36    37    39    46    44    20    11    13    14     9\n",
      "[58,]    33    38    37    40    47    57    37    16    13     9     8     8\n",
      "[59,]    38    40    40    46    52    34    25    14     9     6     6    10\n",
      "[60,]    40    37    50    48    70    43    14     7     6     7    10    11\n",
      "[61,]    44    44    35    26    25    21    17    10     7     8    10    14\n",
      "[62,]    30    21    22    23    22    18    12     7     6     7    12    14\n",
      "[63,]    21    21    22    21    21    17    11     8     5     7    13    11\n",
      "[64,]    28    23    22    22    18    16     8     5     3     4    12    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]    11    12    12\n",
      " [2,]     9    12    12\n",
      " [3,]     9    11    10\n",
      " [4,]     8    10    12\n",
      " [5,]     8    10    11\n",
      " [6,]     6     8    10\n",
      " [7,]     5     7     8\n",
      " [8,]     4     4     4\n",
      " [9,]     8     6     5\n",
      "[10,]    13     8    22\n",
      "[11,]    94   127   164\n",
      "[12,]   123   180   203\n",
      "[13,]   132   167   172\n",
      "[14,]    95   118   152\n",
      "[15,]    58    74   101\n",
      "[16,]    51    53    65\n",
      "[17,]    55    55    50\n",
      "[18,]    85    81    73\n",
      "[19,]    86    88    85\n",
      "[20,]    69    61    70\n",
      "[21,]    57    53    58\n",
      "[22,]    80    69    53\n",
      "[23,]    70    82    56\n",
      "[24,]    47    49    45\n",
      "[25,]    28    22    22\n",
      "[26,]    16    13    11\n",
      "[27,]    13    10     6\n",
      "[28,]    15    14     7\n",
      "[29,]    12    13    17\n",
      "[30,]    10    14    19\n",
      "[31,]     9     8    16\n",
      "[32,]    11    17    18\n",
      "[33,]    16    42    36\n",
      "[34,]    25    30    23\n",
      "[35,]    12    27    33\n",
      "[36,]    15    56    78\n",
      "[37,]    31    22    36\n",
      "[38,]    16    25    29\n",
      "[39,]    24    28    26\n",
      "[40,]    14    11    11\n",
      "[41,]    55    72    63\n",
      "[42,]    49    72    58\n",
      "[43,]    13     8     8\n",
      "[44,]    12    10    10\n",
      "[45,]    10    11    12\n",
      "[46,]    11    13    14\n",
      "[47,]    11    12    17\n",
      "[48,]    12    13    15\n",
      "[49,]    13    14    16\n",
      "[50,]    23    17    17\n",
      "[51,]    22    51    59\n",
      "[52,]    23    35    63\n",
      "[53,]    34    40    43\n",
      "[54,]    34    25    33\n",
      "[55,]    11    13    34\n",
      "[56,]    14    26    10\n",
      "[57,]     8    12    13\n",
      "[58,]    10     9    10\n",
      "[59,]    14    11    15\n",
      "[60,]    13    16    17\n",
      "[61,]    14    17    18\n",
      "[62,]    16    17    18\n",
      "[63,]    11    22    24\n",
      "[64,]    11    10    22\n",
      "\n",
      ", , 23, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   10   10   10   10   10   11   11   13   11    10    11    11    11\n",
      " [2,]   11   12   12   12   11   12   12   14   13    13    12    12    11\n",
      " [3,]   11   12   12   12   11   12   11   12   12    12    11    12    11\n",
      " [4,]   11   11   11   12   12   12   11   12   10    12    13    13    11\n",
      " [5,]   11   12   12   11   12   12   11   12   11    11    11    13    11\n",
      " [6,]   12   12   12   12   12   12   11   12   12    12    13    13    12\n",
      " [7,]   12   13   12   12   11   11   12   12   12    13    11    12    11\n",
      " [8,]   11   11   11   11   12   12   13   11   11    12    12    11    11\n",
      " [9,]   11   11   11   12   11   12   10   11   13    12    11    11    10\n",
      "[10,]   12   11   12   11   13   13   11   11   11    10     9     9     9\n",
      "[11,]   12   12   12   12   13   11   11   10   10     8     8     7     7\n",
      "[12,]   13   13   13   11   11   11   10   10    9     6     5     5     5\n",
      "[13,]   12   12   12   10   10    9    8    7    6     6     4     4     4\n",
      "[14,]   12   11   11    9    7    6    5    5    4     4     6     7     6\n",
      "[15,]   12   10   10    7    6    5    4    5    5     6    10    33    61\n",
      "[16,]   11    7    7    5    5    4    5    7   11    45    74   100   122\n",
      "[17,]    9    7    6    5    5    6   10   39   71   102   115   138   125\n",
      "[18,]    6    5    5    7    6   37   73  104  132   142   153   119   103\n",
      "[19,]    5    5    7   15   63  101  135  140  159   153   133    77   105\n",
      "[20,]    6    7   26   83  125  143  163  155  146   127    46    84    78\n",
      "[21,]    6   26   95  138  154  158  137  108   70    48    65    57    85\n",
      "[22,]   18   93  153  157  149  135  110   50   21    38    53    73    59\n",
      "[23,]   83  147  151  153  133  117   32   13   24    58    55    62    88\n",
      "[24,]  136  151  144   94   80   74   26   35   39    53    54    25    67\n",
      "[25,]  155  144  109   61   43   21   38   28   87    98    43    40    21\n",
      "[26,]  148  146   72   58   23   38   76   90   81    56    55    16    22\n",
      "[27,]  148  128  103   62   44   39   55   94  102    57    31    25    20\n",
      "[28,]  143  120  122   49   31   45   54   79   87    56    23    24    15\n",
      "[29,]  142  126  102  101   46   66   78   81   59    29    15    15    12\n",
      "[30,]  141  125  123   99   69   79   80   59   51    32    21    14     9\n",
      "[31,]  137  124  106   87   91   86   71   63   53    35    24    11    10\n",
      "[32,]  139  120   99  108   90   96   85   62   56    37    19     8     9\n",
      "[33,]  132  108   90  117  103   78   65   53   47    36    20    11    10\n",
      "[34,]  132  119  100  104   93   73   66   63   54    43    21    13    10\n",
      "[35,]  131  120   85   83   83   73   76   75   59    46    31    12    12\n",
      "[36,]  124  119   77   79   80   88   89   81   71    58    32    13    12\n",
      "[37,]  122  123   82   83   85   88   93   76   70    50    27    11    13\n",
      "[38,]  106  121   99   74   73   71   83   88   67    50    21    17    13\n",
      "[39,]   87  118  105   66   89   68   85   83   63    43    26    14    16\n",
      "[40,]   74  122  117   92   42   47   81   71   66    50    37    24    23\n",
      "[41,]   65  111  126  108   63   19   17   24   46    35    33    38    17\n",
      "[42,]   50   89  107   78   23   23   15   15   17    23    35    37    19\n",
      "[43,]   39   67  112   90   21   14   13   16   14    26    38    41    24\n",
      "[44,]   25   47  106  106   83   11   13   18   30    40    39    31    23\n",
      "[45,]   14   24   82  104   90   36   16   28   32    53    61    45    33\n",
      "[46,]   19   17   39  101   89   56   32   32   57    65    73    50    37\n",
      "[47,]   53   15   23   76   84   73   53   61   68    37    76    63    40\n",
      "[48,]   78   22   29   55   77   64   61   58   56    50    43    57    45\n",
      "[49,]   91   50   25   42   66   62   61   53   64    62    55    37    23\n",
      "[50,]  100   67   21   38   47   52   55   57   55    55    61    54    53\n",
      "[51,]  112   79   14   29   34   47   49   46   49    57    52    45    49\n",
      "[52,]  127   91   23   20   23   29   35   33   37    37    35    32    32\n",
      "[53,]  145   85   45   36   27   25   30   23   21    26    21    20    19\n",
      "[54,]  152   97   69   63   52   33   29   27   22    17    25    29    26\n",
      "[55,]  151  101   77   70   68   48   44   45   27    32    37    41    34\n",
      "[56,]  152  103   81   66   70   70   54   52   50    40    45    48    48\n",
      "[57,]  154  102   69   63   65   64   63   62   66    53    47    51    49\n",
      "[58,]  135   97   61   41   56   61   61   66   69    67    63    54    49\n",
      "[59,]  118   86   54   20   35   51   61   58   62    57    51    46    39\n",
      "[60,]   95   78   42   13   13   23   48   52   46    36    37    30    29\n",
      "[61,]   83   72   35    9    8   11   13   22   30    21    17    19    19\n",
      "[62,]   74   49   24   10    9    9    8    9   10    11    12    14    22\n",
      "[63,]   58   42   23    8    8    8    9    9    8     9     9     9     9\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    11    10     9    10    10     8     8     9     9    20    49    82\n",
      " [2,]    11    11    10    11    11     9     9     7     8     8     7     7\n",
      " [3,]    11    12    12    10    11    10     8     7     7     6     6     7\n",
      " [4,]    11    11    10    10    11     9     8     7     7     7     6     6\n",
      " [5,]    12    12    12     9     9     9     8     7     7     6     6     6\n",
      " [6,]    11    13    11    11    10     9     8     7     6     6     6     6\n",
      " [7,]    11    11    11     9     9     9     7     6     6     6     6     6\n",
      " [8,]    11    11    10    10    10     9     8     7     6     6     5     5\n",
      " [9,]    10     9     8     8     7     8     6     5     5     4     5     4\n",
      "[10,]    10     7     6     5     5     4     4     4     5     4     5     5\n",
      "[11,]     7     6     5     5     4     5     5     6     6     7    18    31\n",
      "[12,]     4     5     4     6     7     6    23    49    55    73    71    69\n",
      "[13,]     6     7     7    30    59    82    92   107    97   108   103    82\n",
      "[14,]    25    39    79   105   130   135   132   118    96    87    63    45\n",
      "[15,]    91   112   125   146   135   127   116   101    70    43    28    21\n",
      "[16,]   126   147   140   126   125   111    96    63    31    18    18    19\n",
      "[17,]   119   102   118   115   105    97    73    23    17    18    15    18\n",
      "[18,]   116    64    62    91    81    85    34    16    22    24    20    25\n",
      "[19,]    90    42    36    78    68    24    12    18    28    29    37    51\n",
      "[20,]    92    76    73    62    37    24    18    30    36    38    51    57\n",
      "[21,]   103    77    68    53    38    24    31    51    52    68    60    63\n",
      "[22,]    83    58    48    44    22    23    56    55    70    73    71    84\n",
      "[23,]    59    46    40    20    15    37    64    74    61    59    63    66\n",
      "[24,]    33    31    18     9    10    40    75    63    44    39    33    28\n",
      "[25,]    24    18     9     8     8    51    77    50    40    26    32    34\n",
      "[26,]    18    11     8     6     8    57    67    36    42    83    81    77\n",
      "[27,]    13     8     9     7     7    35    58    72   107   105   103    92\n",
      "[28,]     9     8     7     7     9    25    48    42   106   128   126   116\n",
      "[29,]    10     7     8     9    11    18    42    31    79   114   119   115\n",
      "[30,]     9     9     8     9     8    11    38    36    36    68   104   121\n",
      "[31,]     9     8    10     9     7     9    40    37    38    33    35    62\n",
      "[32,]    10     8     8     7     8    10    28    39    47    46    41    35\n",
      "[33,]     9     8     8     9     8     9     9    13    23    31    30    58\n",
      "[34,]    11     9     9     9     8    10     9    12     9     9    18     5\n",
      "[35,]    10    12    10    10    10     9    11    10    11    10    14    12\n",
      "[36,]    12    10     9    11    13    11    11    10    12    20    40    60\n",
      "[37,]    11    10    10    10     9    10    11    11    20    42    51    52\n",
      "[38,]    17    11    11    10    11    10    10    16    36    43    38    43\n",
      "[39,]    15    12    10    11     9    10    13    26    46    47    50    48\n",
      "[40,]    14    13    11    10    10    10    14    43    45    45    48    47\n",
      "[41,]    13    15    20    11    12    16    24    48    43    41    45    40\n",
      "[42,]    17    25    27    13    11    13    36    45    39    37    42    42\n",
      "[43,]    16    18    15    13    11    15    34    44    39    38    38    43\n",
      "[44,]    16    16    13    15    14    17    35    44    40    43    38    40\n",
      "[45,]    17    15    13    14    14    15    35    39    40    38    41    41\n",
      "[46,]    15    14    14    13    14    16    30    42    37    38    46    39\n",
      "[47,]    18    15    15    15    13    16    27    35    38    46    46    37\n",
      "[48,]    21    15    12    16    17    21    41    40    39    33    28    36\n",
      "[49,]    27    15    12    16    15    25    43    40    42    46    43    41\n",
      "[50,]    26    18    18    16    17    24    45    31    41    42    41    39\n",
      "[51,]    36    18    21    15    15    22    53    43    26    35    45    38\n",
      "[52,]    32    22    34    28    18    21    25    27    21    29    35    40\n",
      "[53,]    19    19    25    38    32    18    18    19    13    20    25    33\n",
      "[54,]    18    18    14    15    44    36    26    18    18    19    16    20\n",
      "[55,]    29    22    15    17    18    18    31    28    20    19    13    40\n",
      "[56,]    35    28    22    20    18    14    14    15    17    14    14    15\n",
      "[57,]    43    34    25    19    19    18    16    12    15    14    13    21\n",
      "[58,]    43    38    33    18    17    19    16    12    16    13    21    18\n",
      "[59,]    38    38    27    18    17    15    15    15    17    18    12    18\n",
      "[60,]    27    25    25    27    24    19    20    16    12    14    13    13\n",
      "[61,]    23    22    28    34    49    52    60    59    41    20    13    13\n",
      "[62,]    32    32    35    39    47    55    70    73    76    76    50    27\n",
      "[63,]    12    19    27    36    36    44    56    76    93    88    83    84\n",
      "[64,]     0     0     0     0     0     1     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]   101   118   129   152   147   149   142   152   154   153   147   156\n",
      " [2,]    21    41    68    95   114   123   130   134   132   134   137   137\n",
      " [3,]     9     8     6     8    25    47    84   105   130   146   147   153\n",
      " [4,]     6     7     7     6     7     8     7     8     8    12    20    23\n",
      " [5,]     6     6     6     6     6     6     6     6     6     7     7     7\n",
      " [6,]     6     6     6     6     6     6     5     6     7     6     6     7\n",
      " [7,]     5     5     5     6     5     5     5     5     6     6     6     7\n",
      " [8,]     5     5     5     7     8    12     7     6     8     7    10    21\n",
      " [9,]     5     4     4     5     8     9     7     8    21    38    35    32\n",
      "[10,]     6     5     5     9    11    16    19    50    55    42    30    21\n",
      "[11,]    42    41    44    29    22    22    51    76    80    61    29    36\n",
      "[12,]    68    59    53    46    44    40    68    85    77    36    87    81\n",
      "[13,]    71    51    29    22    23    22    40    41    15    47    60    68\n",
      "[14,]    27    19    20    22    20    18    21    19    19    19    34    22\n",
      "[15,]    20    24    25    18    18    23    18    15    22    24    26    23\n",
      "[16,]    20    28    27    25    16    20    22    16    32    37    42    45\n",
      "[17,]    21    16    21    26    30    30    28    33    41    53    51    60\n",
      "[18,]    28    36    45    57    61    59    60    55    61    73    73    77\n",
      "[19,]    53    55    51    55    64    72    76    62    74    98    96    93\n",
      "[20,]    58    81    76    74    77    87    99   106   101   111   105    82\n",
      "[21,]    68    80    87    69    69    74    84   108   110   125   129    80\n",
      "[22,]    78    79    74    86    42    92   112   116   118   133   127    33\n",
      "[23,]    61    75    89    90    98   108   117   118   126   130    35    18\n",
      "[24,]    32    45    54    79    98   110   113   117   112    39    20    13\n",
      "[25,]    26    30    34    61    61    49    49    49    14    15    15     6\n",
      "[26,]    54    33    24    33    72    70    56    30    19    10     7     6\n",
      "[27,]    77    61    37    23    25    16    56    19    13     7     7     8\n",
      "[28,]   100    68    55    43    72    90    12    18     7     8     7     9\n",
      "[29,]   111    91    50    47    81     7     9     6     7     8     8     9\n",
      "[30,]    64    48    19    37     7     8     8     8     8     9     9    10\n",
      "[31,]    24    20    14    12     9     9     8     9     9     9    10     9\n",
      "[32,]    35    14    17    11     8     8     9     9     9    10    10    10\n",
      "[33,]    22    16    15    13    11     9    10     9     9     9     9     9\n",
      "[34,]    14    16    32    24    21    22    14    13    14    13    14    15\n",
      "[35,]    49    52    45    40    34    23    24    22    23    21    28    17\n",
      "[36,]    56    54    50    45    34    27    35    27    28    35    27    40\n",
      "[37,]    41    42    41    33    29    35    31    23    20    21    22    36\n",
      "[38,]    31    37    40    27    27    26    18    19    18    16    13    16\n",
      "[39,]    36    37    38    33    34    19    17    20    15    12    13    14\n",
      "[40,]    43    40    35    35    24    19    21    20    14    18    21    19\n",
      "[41,]    44    35    34    34    31    33    26    39    15    19    27    25\n",
      "[42,]    46    37    36    38    43    41    27    26    23    24    28    30\n",
      "[43,]    37    35    35    37    27    18    16    26    29    31    34    22\n",
      "[44,]    34    34    37    32    15    18    21    28    26    25    22    25\n",
      "[45,]    34    35    37    40    22    23    23    27    28    20    22    21\n",
      "[46,]    39    39    37    31    23    19    18    23    26    17    17    16\n",
      "[47,]    37    32    24    23    19    25    21    28    27    20    23    29\n",
      "[48,]    34    25    25    28    25    30    37    36    38    29    27    30\n",
      "[49,]    30    27    35    28    28    42    35    35    39    29    27    35\n",
      "[50,]    31    31    25    28    40    29    32    33    22    35    36    36\n",
      "[51,]    36    35    31    37    35    39    37    34    42    33    36    36\n",
      "[52,]    44    39    31    32    37    38    41    41    41    36    29    25\n",
      "[53,]    32    36    36    34    37    30    25    22    17    25    16    20\n",
      "[54,]    30    12    19    19    22    23    28    31    32    15    66    39\n",
      "[55,]    29    33    36    36    33    33    32    35    34    34    19    40\n",
      "[56,]    19    28    28    35    36    36    33    35    37    35    34    21\n",
      "[57,]    13    17    20    28    31    37    35    33    32    36    33    32\n",
      "[58,]    43    19    18    15    24    33    33    35    33    35    37    33\n",
      "[59,]    35    63    37    20    11    23    32    34    34    33    35    37\n",
      "[60,]    10    27    69    68    43    16    13    26    34    35    36    36\n",
      "[61,]     9    12    11    22    78    90    58    16    15    22    23    21\n",
      "[62,]    17    10    10    10     8     7    50    58    31    24     9     9\n",
      "[63,]    74    38    20     9     9    14    28     8    11    37    50    46\n",
      "[64,]     0    44    51    58    44    10     8     9    12    20    23    19\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   143   145   152   160   153   134   158   154   152   152   159   176\n",
      " [2,]   135   137   145   138   140   144   147   151   155   164   174   170\n",
      " [3,]   151   154   158   155   161   162   155   150   111    53    22    16\n",
      " [4,]    41    44    56    38    17    13    10    10    13    10     6     6\n",
      " [5,]     8     9    10     9     7     7     6     6     5     5     6     5\n",
      " [6,]     5     7     6     6     6     6     6     5     6     5     5     4\n",
      " [7,]     8     9     9     8     9     8    10     9     9     8     8     6\n",
      " [8,]    28    30    37    35    34    31    24    24    24    36    25    11\n",
      " [9,]    27    26    23    26    26    25    27    35    52    72    79    72\n",
      "[10,]    23    29    35    40    40    26    36    70    85   106   103   115\n",
      "[11,]    42    38    37    31    19    32    48    69    94    98   119   129\n",
      "[12,]    55    39    25    13    13    22    33    38    40    45    51    62\n",
      "[13,]    62    32    18    16    14    10    10    12    11    11    10     9\n",
      "[14,]    19    29    15    17    14    10    11    12    13    15    16    12\n",
      "[15,]    22    19    12     9    16    15    16    16    14    14    10    14\n",
      "[16,]    30    29    30    20    10    32    45    54    62    59    25    15\n",
      "[17,]    56    47    41    36    23    57    58    74    72    63    65    69\n",
      "[18,]    70    62    66    36    22    21    15    18    29    33    35    39\n",
      "[19,]    91    87    34    16    14     7     5     6     7     6     5     6\n",
      "[20,]    79    37    13     6     5     5     4     4     5     4     5     5\n",
      "[21,]    36    11     7     5     5     4     4     4     5     4     4     5\n",
      "[22,]    17    10     6     5     5     5     5     5     5     5     5     5\n",
      "[23,]     7     8     6     6     6     7     6     6     7     7     7     7\n",
      "[24,]     7     6     6     6     7     8     9     9     8    10    10    11\n",
      "[25,]     7     7     8     7     8     9    10    10    11     9    10     9\n",
      "[26,]     6     8     8     9    11     9    10    10    10    10    10     9\n",
      "[27,]     9     9     9    11    11    11    11    10    11    10    10    10\n",
      "[28,]     8    10    10    10    10     9     9     9    10    10    10     9\n",
      "[29,]     9    10    10     9    10     9    10     9    10    10    10    10\n",
      "[30,]    10    10    10    10    10    10    10     9    10    10     9     9\n",
      "[31,]     9    10     9     9     9    10    10    10     9    10     9     9\n",
      "[32,]    10     9     9     9    10    10     9     9     9     9     8     8\n",
      "[33,]    10     9     9     9     8     9     9     9    10     9     8     9\n",
      "[34,]    16    20    15    15    12    12    13    10    10    14    16    19\n",
      "[35,]    41    19    21    41    37    21    27    24    18    17    28    25\n",
      "[36,]    38    25    32    42    58    44    36    29    38    41    32    19\n",
      "[37,]    37    25    26    34    37    39    41    35    36    41    18    19\n",
      "[38,]    18    29    32    28    28    27    35    36    32    27    23    23\n",
      "[39,]    14    21    22    18    21    31    34    34    34    13    20    22\n",
      "[40,]    21    16    18    16    18    30    25    30    40    41    16    29\n",
      "[41,]    32    22    19    19    30    34    29    45    17    39    33    27\n",
      "[42,]    28    31    24    29    34    36    39    23    30    30    42    35\n",
      "[43,]    17    25    29    37    34    37    21    25    25    38    31    24\n",
      "[44,]    20    27    31    38    35    24    20    41    36    29    23    17\n",
      "[45,]    20    23    23    36    30    18    30    46    47    36    27    19\n",
      "[46,]    23    23    23    35    13    24    26    44    43    36    37    27\n",
      "[47,]    29    25    38    27    18    22    30    31    42    38    35    31\n",
      "[48,]    34    39    31    17    30    29    17    18    30    39    44    36\n",
      "[49,]    41    38    20    17    31    27    14    13    13    15    14    11\n",
      "[50,]    36    25    18    39    37    20    18    18    23    40    39    36\n",
      "[51,]    27    23    38    54    44    15    24    37    44    36    36    36\n",
      "[52,]    39    50    32    53    46    19    35    37    31    29    29    36\n",
      "[53,]    30    19    47    53    39    25    42    39    29    29    29    34\n",
      "[54,]    29    29    53    54    38    38    43    43    40    30    34    44\n",
      "[55,]    25    34    52    55    31    41    39    37    35    35    42    35\n",
      "[56,]    27    46    57    55    25    38    37    37    35    35    43    42\n",
      "[57,]    32    35    16    57    28    40    37    41    37    41    38    35\n",
      "[58,]    33    35    33    15    31    37    38    40    37    40    37    35\n",
      "[59,]    36    35    36    33    33    35    38    40    38    39    37    36\n",
      "[60,]    37    34    34    27    54    19    35    39    43    40    41    41\n",
      "[61,]    16    22    27    43    60    44    31    24    41    37    30    36\n",
      "[62,]     9    23    34    53    72    79    69    43    28    54    52    41\n",
      "[63,]    38    21    13    14    18    18    10     9    11    11    14    29\n",
      "[64,]    17    14    17    21    22    27    32    28    16    14    19    25\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   180   203   165   117    27    21    16     7     7     7     7     8\n",
      " [2,]    98    35    13    14     9     7     6     6     6     6     7    10\n",
      " [3,]    15     8     6     5     6     7     6     6     6     6     6     7\n",
      " [4,]     5     6     5     6     6     6     5     5     5     6     7     8\n",
      " [5,]     5     5     5     5     5     5     5     5     6     6     6     7\n",
      " [6,]     5     4     5     5     4     5     5     5     5     5     6     7\n",
      " [7,]     5     4     4     4     4     4     5     5     4     4     4     5\n",
      " [8,]     8     6     5     5     5     4     4     4     4     4     4     4\n",
      " [9,]    57    43    31    19    12     9     7     5     6     7     8     8\n",
      "[10,]   104    91    79    81    83    77    65    69    56    40    26    16\n",
      "[11,]   149   147   147   140   132   131   119    86    46    24    41    65\n",
      "[12,]    81    95   103   107   116   116    99    75    27    37    62    88\n",
      "[13,]    11    14    20    25    33    39    35    26    18    44    73    92\n",
      "[14,]    12    10    10     7    11    11     9    15    41    54    67    80\n",
      "[15,]    17    14    14    17    16    15    18    15    22    25    31    42\n",
      "[16,]    13    11     9     9    10    10    11    10    13    19    27    39\n",
      "[17,]    53    34    26    20    12     8     8     8    13    24    36    43\n",
      "[18,]    40    44    36    26    26    29    38    35    13    42    69    84\n",
      "[19,]     6     7    14    26    31    27    28    25    17    53    70    80\n",
      "[20,]     5     4     4     5     5    10    16    21    25    41    49    70\n",
      "[21,]     5     4     4     4     4     5     8    10    47    66    66    62\n",
      "[22,]     6     5     6     5     4     4     5     7    13    35    50    56\n",
      "[23,]     8     7     7     6     5     4     4     4     6    16    21    38\n",
      "[24,]    10     8     7     7     6     5     5     5     8    10     9    30\n",
      "[25,]     8     7     8     8     6     7     6     5     6     8     9    22\n",
      "[26,]     9    10     9     8     7     7     7     6     6     6    13    12\n",
      "[27,]    10     9     9     9     7     6     7     7     7     9     9    10\n",
      "[28,]    11     9     9     8     8     7     8     8     8    14    10    10\n",
      "[29,]     9    10     8     9     9     8     7     7     9    20    20    21\n",
      "[30,]     9     9     9     8     8     8     9     7    10    28    43    14\n",
      "[31,]     8     9     8     8     7     8     8     8    20    48    51    20\n",
      "[32,]     8     9     8     9     7     8    10    13    44   106    38    15\n",
      "[33,]     9     9     9     8     8    11    15    33    53    79    30    11\n",
      "[34,]    18    15    19    14    21    28    28    22    38    45    11    24\n",
      "[35,]    27    38    19    16    47    39     9    18    21    25    25    16\n",
      "[36,]    13    12    18    47    43    20    21    25    17    19    20    18\n",
      "[37,]    39    25    23    29    26    34    21    21    50    32    45    47\n",
      "[38,]    35    32    11    19    34    17    13    21    45    35    21    13\n",
      "[39,]    25    18    18    10    14    12    38    30    27    16    12    14\n",
      "[40,]    25    26    27    26    18    14    12    13    15    12    13    14\n",
      "[41,]    23    13    39    23    30    17    15    19    16    11    13    31\n",
      "[42,]    24    34    20    19    13    12    15    22    23    19    13    17\n",
      "[43,]    10    15    16    18    28    27    27    24    27    13    10    15\n",
      "[44,]    19    15    30    24    27    25    27    25    27    24    19    22\n",
      "[45,]    22    29    24    31    26    26    28    18    13    15    18    18\n",
      "[46,]    33    35    30    27    29    33    29    10    20    33    42    19\n",
      "[47,]    31    27    28    30    29    30    24    21    30    34    17    12\n",
      "[48,]    29    21    25    19    17    26    16    30    21    19    11    11\n",
      "[49,]    14    17    33    13    12    47    38    32    26    15    12    10\n",
      "[50,]    33    39    28    13    62    63    34    11    23    11    13    17\n",
      "[51,]    30    45    45    41    40    54    28    25    27    19    15    16\n",
      "[52,]    31    57    52    53    46    41    33    34    23    16    17    19\n",
      "[53,]    46    69    60    47    40    41    46    35    22    19    19    21\n",
      "[54,]    67    63    51    38    37    36    49    34    22    18    17    30\n",
      "[55,]    44    44    43    33    34    37    50    37    21    22    23    25\n",
      "[56,]    33    33    36    35    37    39    47    45    19    14    14    11\n",
      "[57,]    35    35    37    36    38    45    46    21    12    12    15    10\n",
      "[58,]    31    39    37    41    47    59    37    13    11     9     7     7\n",
      "[59,]    40    39    41    45    54    33    26    14     9     6     6    11\n",
      "[60,]    39    35    48    45    69    42    15     7     6     7     9    12\n",
      "[61,]    44    46    36    26    24    22    17    10     8     8    10    13\n",
      "[62,]    29    18    22    24    22    18    12     7     6     6    12    13\n",
      "[63,]    23    22    23    21    20    17    10     7     6     8    13    11\n",
      "[64,]    28    23    21    22    20    16     9     5     4     4    11    11\n",
      "      [,62] [,63] [,64]\n",
      " [1,]     9    11    13\n",
      " [2,]    10    11    13\n",
      " [3,]     9    11    12\n",
      " [4,]     9    11    13\n",
      " [5,]     9    10    11\n",
      " [6,]     8     8     9\n",
      " [7,]     5     6     7\n",
      " [8,]     4     5     5\n",
      " [9,]     8     6     5\n",
      "[10,]    13     8    22\n",
      "[11,]    92   126   165\n",
      "[12,]   122   174   203\n",
      "[13,]   130   166   170\n",
      "[14,]    95   118   151\n",
      "[15,]    58    74   101\n",
      "[16,]    50    53    64\n",
      "[17,]    54    53    52\n",
      "[18,]    84    80    73\n",
      "[19,]    86    86    84\n",
      "[20,]    70    62    72\n",
      "[21,]    55    54    58\n",
      "[22,]    79    68    54\n",
      "[23,]    67    82    55\n",
      "[24,]    46    50    45\n",
      "[25,]    27    22    23\n",
      "[26,]    16    14    12\n",
      "[27,]    12     9     7\n",
      "[28,]    15    16     7\n",
      "[29,]    12    14    18\n",
      "[30,]    10    13    20\n",
      "[31,]     9     8    18\n",
      "[32,]     9    17    18\n",
      "[33,]    19    40    39\n",
      "[34,]    24    31    22\n",
      "[35,]    14    28    34\n",
      "[36,]    17    53    77\n",
      "[37,]    29    22    37\n",
      "[38,]    14    26    28\n",
      "[39,]    25    26    25\n",
      "[40,]    17    10    10\n",
      "[41,]    52    69    58\n",
      "[42,]    48    71    54\n",
      "[43,]    14    11     9\n",
      "[44,]    13     9    13\n",
      "[45,]    11    11    11\n",
      "[46,]    11    11    13\n",
      "[47,]    11    11    15\n",
      "[48,]    14    13    15\n",
      "[49,]    12    14    16\n",
      "[50,]    24    15    17\n",
      "[51,]    24    50    56\n",
      "[52,]    23    36    62\n",
      "[53,]    34    40    41\n",
      "[54,]    35    26    33\n",
      "[55,]    12    13    35\n",
      "[56,]    13    24    12\n",
      "[57,]     9    13    13\n",
      "[58,]    11     9    10\n",
      "[59,]    13    12    16\n",
      "[60,]    14    16    17\n",
      "[61,]    14    16    17\n",
      "[62,]    16    17    18\n",
      "[63,]    11    22    23\n",
      "[64,]    11    10    22\n",
      "\n",
      ", , 24, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   12   11   11   11   10   11   11   12   12    13    12    11    11\n",
      " [2,]   11   13   12   11   12   12   13   11   11    12    12    13    12\n",
      " [3,]   11   12   11   12   13   12   12   11   12    12    12    11    12\n",
      " [4,]   12   12   12   12   10   11   13   12   11    13    12    12    12\n",
      " [5,]   11   11   13   11   12   11   11   12   11    12    11    12    13\n",
      " [6,]   12   11   12   11   12   11   12   12   11    12    12    12    12\n",
      " [7,]   11   12   12   12   11   12   13   12   12    12    13    13    13\n",
      " [8,]   11   13   12   12   11   13   11   13   13    11    11    12    12\n",
      " [9,]   12   12   11   12   12   10   13   11   11    12    11    12    10\n",
      "[10,]   11   12   11   12   10   11   12   11   10    11    11    10    10\n",
      "[11,]   12   12   11   11   10   12   11   10   10    10     8     8     6\n",
      "[12,]   11   12   11   11   11   10   10    9    9     8     6     5     4\n",
      "[13,]   11   11   12   11   10    8    9    8    7     6     5     4     4\n",
      "[14,]   11   10   11   11    9    5    5    4    5     5     5     7     5\n",
      "[15,]   10   11    9    9    7    5    5    5    5     7    10    31    60\n",
      "[16,]   10    8    7    5    5    5    5    7   11    44    76   102   123\n",
      "[17,]   10    7    5    5    6    7   11   40   73   102   116   138   126\n",
      "[18,]    5    6    5    8    5   37   74  103  133   143   155   121   104\n",
      "[19,]    5    5    7   15   66  103  138  142  159   156   135    79   106\n",
      "[20,]    5    7   25   84  125  145  164  155  147   127    46    85    77\n",
      "[21,]    8   25   97  138  154  160  138  109   71    49    64    56    86\n",
      "[22,]   19   93  153  158  151  139  114   51   20    38    54    73    60\n",
      "[23,]   83  149  152  154  132  118   31   14   24    58    54    63    90\n",
      "[24,]  140  152  147   97   80   76   27   36   40    55    51    24    69\n",
      "[25,]  154  148  108   62   45   22   36   29   88   102    43    39    21\n",
      "[26,]  146  147   75   58   22   39   78   88   84    58    57    17    24\n",
      "[27,]  148  128  104   62   44   37   55   93  103    58    31    23    19\n",
      "[28,]  143  122  123   49   27   46   54   80   89    57    24    26    15\n",
      "[29,]  146  128  103  102   46   68   80   84   60    30    14    15    11\n",
      "[30,]  143  129  123  103   72   78   80   62   48    35    21    15    10\n",
      "[31,]  140  127  109   86   90   87   72   65   56    37    24    12     9\n",
      "[32,]  135  122  100  109   91   94   87   62   56    37    22    10    10\n",
      "[33,]  133  107   93  117  104   80   68   55   50    37    16    11    11\n",
      "[34,]  135  122  101  105   94   73   70   66   53    39    23    11    11\n",
      "[35,]  130  121   87   85   83   73   78   73   63    48    29    15    10\n",
      "[36,]  126  119   78   82   81   85   89   81   69    58    38    12    13\n",
      "[37,]  125  121   83   83   88   88   93   80   69    46    27    12    13\n",
      "[38,]  107  125   99   74   72   74   87   88   70    51    21    22    14\n",
      "[39,]   86  122  105   66   88   67   87   88   66    45    26    13    18\n",
      "[40,]   75  122  119   93   46   46   80   71   67    47    37    30    21\n",
      "[41,]   64  111  129  110   58   17   20   25   46    37    34    38    17\n",
      "[42,]   52   91  106   77   22   20   13   15   17    21    33    38    18\n",
      "[43,]   40   69  114   88   20   13   15   14   15    25    43    40    25\n",
      "[44,]   22   49  104  107   84   12   15   16   24    39    43    33    25\n",
      "[45,]   15   24   83  104   90   29   16   27   33    51    60    41    33\n",
      "[46,]   18   18   36  103   86   58   31   34   56    65    76    53    34\n",
      "[47,]   54   14   22   82   85   71   55   61   66    35    73    70    39\n",
      "[48,]   84   22   28   55   80   64   59   61   58    48    42    63    44\n",
      "[49,]   93   54   27   43   64   63   60   54   63    61    55    42    27\n",
      "[50,]  104   69   18   42   45   55   55   61   54    59    65    55    55\n",
      "[51,]  115   83   14   29   31   47   45   47   50    57    51    45    49\n",
      "[52,]  131   91   23   19   24   28   37   36   36    35    35    36    36\n",
      "[53,]  148   91   49   35   26   25   27   20   20    24    23    21    17\n",
      "[54,]  153   98   71   63   52   38   30   29   23    18    25    28    31\n",
      "[55,]  152  103   81   69   68   50   44   45   29    32    39    40    40\n",
      "[56,]  160  103   82   68   70   69   58   53   56    39    45    51    44\n",
      "[57,]  153  101   70   61   68   65   64   60   66    56    49    52    51\n",
      "[58,]  137   98   60   42   55   63   66   69   73    66    61    53    52\n",
      "[59,]  120   91   54   19   33   55   57   56   62    56    54    48    42\n",
      "[60,]   96   79   44   12   12   25   50   54   48    35    36    31    26\n",
      "[61,]   81   70   36   10    9   10   13   22   29    22    18    20    20\n",
      "[62,]   75   51   21    9    9    9    9   10   10    12    11    15    19\n",
      "[63,]   62   48   24    9    9    9    9    9    9     9     9     9     9\n",
      "[64,]    0    0    0    0    0    0    0    0    0     0     0     0     0\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    12    12    11    12    10     8     8     8     8    23    49    84\n",
      " [2,]    11    12    11    12    11    10     9     8     7     9     8     9\n",
      " [3,]    12    12    11    11    10    10     8     8     7     7     7     7\n",
      " [4,]    13    13    12    11    10    10     9     7     7     7     6     6\n",
      " [5,]    12    11    11    11    11     9     8     7     6     7     6     6\n",
      " [6,]    12    11    12    12    10     9     8     7     6     6     6     6\n",
      " [7,]    14    11    10    10    10     9     8     7     5     6     6     6\n",
      " [8,]    11    12    10    10     9     9     8     7     6     6     5     5\n",
      " [9,]    10    10     9     7     7     6     6     6     5     4     4     5\n",
      "[10,]     8     8     6     5     4     5     4     4     4     5     4     5\n",
      "[11,]     6     6     5     4     4     5     5     6     7     6    19    33\n",
      "[12,]     4     4     5     6     7     5    24    50    56    72    72    70\n",
      "[13,]     6     8     8    31    60    82    93   107    97   107   103    83\n",
      "[14,]    26    39    81   104   131   135   133   119    97    87    63    44\n",
      "[15,]    92   112   126   148   137   128   115    99    71    43    28    22\n",
      "[16,]   125   148   141   128   124   111    96    62    30    19    18    19\n",
      "[17,]   120   103   119   115   104    94    73    24    18    18    15    18\n",
      "[18,]   118    64    61    92    83    85    33    15    22    25    21    24\n",
      "[19,]    92    42    38    78    68    22    11    18    29    29    38    50\n",
      "[20,]    92    75    75    63    38    24    17    29    38    39    49    58\n",
      "[21,]   103    80    69    54    37    23    32    51    52    66    60    64\n",
      "[22,]    85    59    49    43    22    23    56    55    73    72    74    85\n",
      "[23,]    61    48    41    20    15    43    65    74    64    60    63    66\n",
      "[24,]    32    31    18     9    10    42    75    64    47    37    33    32\n",
      "[25,]    25    19     8     9     8    53    76    50    39    26    32    34\n",
      "[26,]    20    11     8     7     8    58    68    37    43    84    86    72\n",
      "[27,]    12     9     9     8     9    37    57    73   106   104    96    94\n",
      "[28,]     9     8     7     8    10    26    49    42   103   126   122   117\n",
      "[29,]     9     8     8    10    11    18    43    35    82   116   124   117\n",
      "[30,]     8     9    10     9     8    11    35    36    38    67   104   116\n",
      "[31,]     9    10     9     9     8     9    41    39    36    31    32    64\n",
      "[32,]    12    10     8     8     9    11    31    39    44    42    39    35\n",
      "[33,]    11     9     8     9     9     8     9    12    26    34    34    54\n",
      "[34,]    11     9    10     9     9     9    10    12     9     9    18     7\n",
      "[35,]    11    10    10     9    10    10    11     9    10     9    13    14\n",
      "[36,]    13    11    11    13    11    10    10    10    11    20    36    64\n",
      "[37,]    11    10    10    11    10    11    11    10    17    46    54    50\n",
      "[38,]    14    11    10    10    10     9    10    17    37    46    36    43\n",
      "[39,]    18    11    11     9    10    12    15    28    50    49    53    50\n",
      "[40,]    13    14    11    11    11    13    15    42    44    43    47    49\n",
      "[41,]    11    15    23    12    13    12    23    51    44    39    45    42\n",
      "[42,]    16    28    27    12    11    15    36    47    38    40    42    40\n",
      "[43,]    17    18    14    13    14    16    35    43    41    41    41    42\n",
      "[44,]    16    15    14    13    13    16    35    42    40    36    42    44\n",
      "[45,]    16    14    13    12    13    17    35    41    40    39    39    39\n",
      "[46,]    18    13    13    14    13    14    37    46    36    41    45    39\n",
      "[47,]    20    15    14    17    14    18    29    33    34    50    45    38\n",
      "[48,]    21    16    14    16    14    21    46    40    38    34    31    38\n",
      "[49,]    26    15    14    14    14    22    44    38    39    47    44    44\n",
      "[50,]    23    19    17    17    19    20    45    31    39    40    42    39\n",
      "[51,]    36    17    26    16    18    21    55    43    27    38    42    36\n",
      "[52,]    33    20    38    24    22    19    27    26    23    29    35    45\n",
      "[53,]    19    17    26    36    31    19    19    19    13    19    29    32\n",
      "[54,]    20    20    15    19    44    36    25    18    20    18    14    22\n",
      "[55,]    29    25    15    15    19    19    26    25    20    16    13    37\n",
      "[56,]    34    27    21    22    19    14    19    19    17    16    15    15\n",
      "[57,]    43    32    25    22    17    19    16    12    14    15    13    22\n",
      "[58,]    47    40    31    16    17    16    19    15    16    14    24    19\n",
      "[59,]    39    39    31    20    17    16    12    14    14    15    13    17\n",
      "[60,]    27    26    25    28    26    19    18    16    12    14    14    14\n",
      "[61,]    23    26    26    38    51    53    62    59    39    19    12    12\n",
      "[62,]    30    32    35    37    45    57    71    75    77    77    54    28\n",
      "[63,]     9    20    27    36    36    43    58    77    92    88    83    84\n",
      "[64,]     0     0     0     0     0     0     0     0     0     0     0     0\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]   103   122   131   151   149   150   145   153   155   154   149   157\n",
      " [2,]    21    42    70    95   113   124   130   135   133   136   140   139\n",
      " [3,]     7     8     7     9    27    49    84   107   132   148   147   153\n",
      " [4,]     6     7     7     7     7     8     7     6     8    13    17    22\n",
      " [5,]     6     6     6     6     5     6     6     6     6     7     7     7\n",
      " [6,]     6     6     6     6     6     6     7     6     6     7     6     6\n",
      " [7,]     6     5     5     6     6     5     6     6     6     6     6     6\n",
      " [8,]     5     5     5     6     8    11     6     6     8     8    10    21\n",
      " [9,]     5     4     4     4     8     9     7     7    22    39    35    32\n",
      "[10,]     6     5     5     9    11    16    16    52    55    42    29    22\n",
      "[11,]    41    41    44    31    22    20    50    76    80    62    30    35\n",
      "[12,]    70    60    53    48    44    40    69    87    76    34    91    84\n",
      "[13,]    72    50    29    23    24    23    38    40    16    48    61    71\n",
      "[14,]    27    20    21    23    20    19    20    16    19    19    35    24\n",
      "[15,]    21    26    26    19    17    23    18    15    23    24    26    22\n",
      "[16,]    19    27    27    25    17    20    21    17    32    38    45    47\n",
      "[17,]    20    15    21    27    30    31    29    32    39    53    51    61\n",
      "[18,]    28    38    44    55    61    58    60    55    63    74    74    76\n",
      "[19,]    53    53    51    55    65    73    76    63    78   100    96    93\n",
      "[20,]    57    79    77    75    78    90    98   107   105   116   106    82\n",
      "[21,]    69    80    81    72    72    71    86   108   111   126   133    86\n",
      "[22,]    82    84    80    80    39    93   115   115   112   132   129    34\n",
      "[23,]    68    80    91    93   102   113   115   112   120   127    45    17\n",
      "[24,]    34    47    66    85   103   110   117   123   126    50    17    14\n",
      "[25,]    27    28    38    64    61    55    63    56    17    12    12     7\n",
      "[26,]    52    29    21    35    70    64    59    31    20    12     8     6\n",
      "[27,]    78    51    33    25    26    23    41    26    14     7     7     7\n",
      "[28,]   105    66    51    41    67    90    17    17     8     8     8     8\n",
      "[29,]   111    86    48    49    85    11     9     7     8     8     9     9\n",
      "[30,]    71    47    21    43     7    10     7     8     9     8     8     9\n",
      "[31,]    22    18    16    11     9     8     9     9     9    10     9    10\n",
      "[32,]    37    19    15    10     9    10    10    10    11    10    10     9\n",
      "[33,]    23    15    15    11     9    10    10    10     9    10     9     9\n",
      "[34,]    15    17    31    25    22    24    14    11    15    13    12    15\n",
      "[35,]    50    54    48    41    36    26    25    21    21    22    28    16\n",
      "[36,]    57    54    52    44    31    27    35    27    29    35    29    36\n",
      "[37,]    39    43    40    34    31    32    29    25    20    19    23    37\n",
      "[38,]    27    40    45    30    27    28    22    19    16    12    12    17\n",
      "[39,]    39    38    41    35    31    20    18    19    16    14    14    16\n",
      "[40,]    47    42    33    36    24    21    20    21    15    17    22    18\n",
      "[41,]    42    39    35    35    35    32    23    35    17    19    26    27\n",
      "[42,]    45    41    40    37    42    42    29    27    21    23    32    33\n",
      "[43,]    40    35    35    38    29    17    17    21    30    30    33    26\n",
      "[44,]    39    38    34    32    19    15    21    29    30    21    21    28\n",
      "[45,]    37    35    36    37    20    26    17    29    24    21    22    18\n",
      "[46,]    37    38    35    30    24    18    21    22    26    19    20    17\n",
      "[47,]    35    28    26    23    22    26    20    23    27    17    25    29\n",
      "[48,]    32    27    26    28    25    29    36    36    41    27    29    31\n",
      "[49,]    34    27    32    26    26    42    33    38    38    30    30    34\n",
      "[50,]    33    30    24    31    41    33    34    33    26    36    36    37\n",
      "[51,]    36    34    32    38    35    36    40    40    42    35    35    38\n",
      "[52,]    43    40    35    30    38    41    44    42    41    38    29    25\n",
      "[53,]    28    40    37    34    33    25    23    20    20    25    18    20\n",
      "[54,]    31    11    19    18    21    24    28    30    28    17    66    35\n",
      "[55,]    29    32    35    34    33    32    33    34    35    35    21    39\n",
      "[56,]    19    28    30    31    33    37    35    39    38    35    33    20\n",
      "[57,]    13    19    21    31    35    35    35    35    35    36    36    33\n",
      "[58,]    44    18    18    17    24    33    34    35    34    35    37    33\n",
      "[59,]    38    67    36    20    11    23    33    32    35    38    34    38\n",
      "[60,]     9    28    70    71    46    18    18    26    33    38    37    37\n",
      "[61,]    11    11    10    23    81    88    59    16    16    20    23    21\n",
      "[62,]    16    11     9     9     9     7    53    59    32    24    10    11\n",
      "[63,]    75    39    20     9     9    17    25     9    12    37    51    47\n",
      "[64,]     0    45    52    59    44    10     8     9    12    21    24    18\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   144   147   156   162   155   137   156   154   155   147   160   177\n",
      " [2,]   134   140   145   140   140   144   148   152   159   164   177   173\n",
      " [3,]   152   155   160   156   162   165   160   150   112    53    22    15\n",
      " [4,]    40    42    54    39    17    14    10    11    13    10     6     6\n",
      " [5,]     8     9     9     9     8     7     6     6     6     6     6     6\n",
      " [6,]     6     6     6     7     6     6     5     6     5     5     5     5\n",
      " [7,]     8    10     9     9     8     9     9     9    10     9     8     6\n",
      " [8,]    29    31    36    36    34    30    23    25    25    36    24    11\n",
      " [9,]    28    27    23    26    26    25    27    36    53    74    81    74\n",
      "[10,]    24    30    36    41    40    26    36    72    87   108   105   115\n",
      "[11,]    45    40    38    31    19    32    49    70    96   100   119   130\n",
      "[12,]    57    39    25    14    15    23    34    39    39    43    52    62\n",
      "[13,]    64    32    17    15    14    10    11    11    10    10    10     8\n",
      "[14,]    20    28    14    18    14    11    12    13    13    14    16    13\n",
      "[15,]    22    20    11     7    17    14    16    18    15    14    10    14\n",
      "[16,]    32    28    30    21    10    32    46    55    63    60    25    14\n",
      "[17,]    58    47    43    36    24    58    59    74    73    64    65    71\n",
      "[18,]    72    62    66    38    21    21    16    19    29    35    35    39\n",
      "[19,]    90    84    37    18    13     7     5     5     6     6     5     5\n",
      "[20,]    80    38    13     7     6     5     5     4     4     4     4     5\n",
      "[21,]    38    13     8     5     5     5     5     5     5     4     4     4\n",
      "[22,]    16    11     6     5     5     5     5     5     6     5     5     5\n",
      "[23,]     8     8     6     5     6     6     7     7     7     7     8     8\n",
      "[24,]     8     6     7     7     7     8     9     9     9    10     9    10\n",
      "[25,]     7     7     6     8     9    10    10    10    10    11    10    10\n",
      "[26,]     7     9     9     9    11    10    10    10    10     9    11     9\n",
      "[27,]     8     8    10    11     9    10    11    10     9     9     9    10\n",
      "[28,]     9    10    10    10    10    10    12    10     9    10     9    10\n",
      "[29,]     9    10    10     9    10    10    10    10    10    11    11     9\n",
      "[30,]     9     9     9    10    11    10    10     9    10    11     9     8\n",
      "[31,]     9    10     9    11    10    10     9     9    10    12     9     9\n",
      "[32,]     9    10    10    10     9     9     9     9    11    10     9     9\n",
      "[33,]    10     9     9     9    10     9    10     9     9    10    10     9\n",
      "[34,]    15    20    15    15    14    12    12    11    12    16    18    18\n",
      "[35,]    41    18    16    44    38    22    30    24    17    16    28    26\n",
      "[36,]    41    24    30    46    58    45    38    25    41    43    33    21\n",
      "[37,]    38    28    28    32    35    39    40    39    39    42    15    17\n",
      "[38,]    20    31    30    28    31    30    36    38    36    33    27    23\n",
      "[39,]    12    21    23    20    20    32    37    35    33    12    20    22\n",
      "[40,]    20    13    15    16    17    32    30    32    41    47    19    31\n",
      "[41,]    32    25    16    17    30    32    31    38    15    32    37    30\n",
      "[42,]    29    31    27    25    31    34    38    24    30    19    38    36\n",
      "[43,]    19    21    26    35    33    38    20    18    23    32    28    20\n",
      "[44,]    21    28    32    35    37    26    20    38    31    33    24    19\n",
      "[45,]    19    23    22    36    28    18    28    42    53    43    30    21\n",
      "[46,]    20    20    20    36    14    22    26    43    50    34    37    26\n",
      "[47,]    31    24    40    29    16    23    27    38    38    32    35    29\n",
      "[48,]    34    42    32    21    32    27    17    17    27    36    41    37\n",
      "[49,]    44    38    21    15    32    27    16    14    16    20    14     9\n",
      "[50,]    36    23    20    39    37    21    20    17    21    37    39    37\n",
      "[51,]    27    21    38    53    44    15    23    33    38    34    33    35\n",
      "[52,]    42    46    30    54    45    16    35    38    34    30    31    35\n",
      "[53,]    27    15    50    55    38    24    45    36    33    29    29    31\n",
      "[54,]    27    28    49    54    40    37    43    42    40    28    35    45\n",
      "[55,]    26    36    54    59    30    40    39    36    35    38    43    39\n",
      "[56,]    26    45    57    56    27    37    36    37    36    35    40    42\n",
      "[57,]    36    34    17    58    26    42    38    42    41    40    40    36\n",
      "[58,]    33    35    33    13    31    36    39    42    37    39    37    34\n",
      "[59,]    38    34    36    31    31    34    39    40    38    39    38    37\n",
      "[60,]    34    35    34    26    55    20    36    41    42    42    42    40\n",
      "[61,]    18    20    27    41    59    45    32    23    41    39    31    36\n",
      "[62,]    10    23    33    54    70    78    67    40    30    53    52    42\n",
      "[63,]    41    23    12    14    17    17    12    10    12    11    14    31\n",
      "[64,]    17    15    16    21    23    25    32    29    17    14    20    26\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   181   207   170   119    26    21    18     7     7     7     7    10\n",
      " [2,]    99    32    12    13     8     7     7     5     6     5     8     9\n",
      " [3,]    13    10     6     6     6     7     7     6     6     6     7     8\n",
      " [4,]     5     6     5     5     5     5     5     5     6     6     7     8\n",
      " [5,]     5     6     5     6     5     6     5     5     5     6     7     7\n",
      " [6,]     5     5     5     4     5     5     5     4     5     5     6     7\n",
      " [7,]     5     4     4     4     4     4     4     4     5     5     5     6\n",
      " [8,]     7     7     6     6     4     4     4     5     4     4     4     4\n",
      " [9,]    58    45    30    19    12     8     7     5     5     7     9     8\n",
      "[10,]   107    92    81    82    84    79    67    69    57    42    27    17\n",
      "[11,]   151   151   149   144   133   132   121    88    47    25    43    66\n",
      "[12,]    81    96   104   110   118   118   100    78    27    38    64    89\n",
      "[13,]    12    15    18    24    33    38    36    26    20    45    73    92\n",
      "[14,]    12    10    11     8    10     9     9    14    40    57    67    80\n",
      "[15,]    15    14    14    17    17    16    19    16    22    24    31    43\n",
      "[16,]    14    11    10    10     9    11    10     9    13    19    29    40\n",
      "[17,]    54    34    26    20    12     6     7     9    14    23    35    42\n",
      "[18,]    41    47    36    28    26    29    39    35    13    42    71    84\n",
      "[19,]     6     7    15    27    30    26    28    26    16    52    69    82\n",
      "[20,]     5     4     5     5     5    10    18    20    25    41    48    69\n",
      "[21,]     4     5     5     4     4     5     7     7    45    64    64    61\n",
      "[22,]     5     5     5     5     4     4     5     7    14    37    51    54\n",
      "[23,]     7     8     7     6     5     4     4     5     6    17    21    37\n",
      "[24,]     9     8     8     7     6     6     5     5     8     9    11    28\n",
      "[25,]     9    10    10     8     7     7     7     6     5     8    10    20\n",
      "[26,]    11    10     8     8     7     7     6     6     6     6    14    11\n",
      "[27,]    11    10     9     8     8     8     6     8     8    10     9    12\n",
      "[28,]    10     9     9     8     8     8     8     8     8    12     9     9\n",
      "[29,]    10    10     8     8     8     9     8     8     8    22    20    18\n",
      "[30,]     9     8     8     8     9     7     9     7    11    28    42    13\n",
      "[31,]     8     9     9     9     8     8     8     7    21    46    54    21\n",
      "[32,]     9     8     9     8     8     8     8    12    39   109    40    13\n",
      "[33,]     9     9     8     8     9    12    15    34    55    81    30    12\n",
      "[34,]    21    16    17    13    17    29    29    23    40    45    11    24\n",
      "[35,]    28    39    18    16    44    39     9    17    19    25    23    16\n",
      "[36,]    13    14    18    42    44    21    20    23    19    19    19    16\n",
      "[37,]    40    26    24    32    30    34    21    18    49    33    45    49\n",
      "[38,]    37    32    11    17    33    17    11    19    47    38    20    15\n",
      "[39,]    29    19    20    11    12    13    46    33    28    16    14    16\n",
      "[40,]    27    26    27    31    16    15    11    16    16    14    14    15\n",
      "[41,]    25    14    43    21    31    17    14    17    16    11    11    28\n",
      "[42,]    23    28    20    19    14    11    15    18    26    20    11    15\n",
      "[43,]    11    15    16    22    31    27    27    26    25    15    10    15\n",
      "[44,]    15    18    31    20    23    26    29    26    26    23    19    19\n",
      "[45,]    25    32    25    31    27    29    26    21    13    12    17    17\n",
      "[46,]    36    33    29    26    31    35    30    11    23    34    41    21\n",
      "[47,]    30    29    26    29    31    28    26    19    34    31    14    13\n",
      "[48,]    30    20    23    20    21    25    16    33    20    16    10    11\n",
      "[49,]    16    17    33    14    12    49    43    32    27    17    13    11\n",
      "[50,]    28    37    31    16    63    65    34    15    22    12    15    19\n",
      "[51,]    31    44    43    41    39    55    25    27    26    20    15    17\n",
      "[52,]    29    56    54    51    46    42    34    33    24    16    18    17\n",
      "[53,]    45    70    58    46    36    39    46    36    24    20    19    20\n",
      "[54,]    69    61    50    38    36    36    48    32    19    17    18    29\n",
      "[55,]    45    46    43    35    35    35    54    35    22    23    22    23\n",
      "[56,]    35    32    34    37    39    39    48    46    17    16    16    10\n",
      "[57,]    34    34    36    36    38    47    45    21    13    10    14     9\n",
      "[58,]    34    39    37    40    46    59    38    15    12    10     7     7\n",
      "[59,]    37    39    39    44    53    35    28    14    10     7     6    12\n",
      "[60,]    39    36    47    46    73    41    15     6     6     6     9    12\n",
      "[61,]    46    46    36    25    24    22    15    11     6     6    10    12\n",
      "[62,]    30    19    22    24    22    17    11     6     6     7    12    14\n",
      "[63,]    21    20    24    22    20    17    11     8     6     8    13    11\n",
      "[64,]    29    23    21    22    21    17     8     4     3     4    11    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]    10    11    13\n",
      " [2,]    10    13    12\n",
      " [3,]     9    11    11\n",
      " [4,]     9    11    11\n",
      " [5,]    10    10    11\n",
      " [6,]     7     8    10\n",
      " [7,]     5     7     8\n",
      " [8,]     4     4     5\n",
      " [9,]     8     7     4\n",
      "[10,]    12     8    24\n",
      "[11,]    93   127   166\n",
      "[12,]   123   180   205\n",
      "[13,]   131   167   173\n",
      "[14,]    96   118   152\n",
      "[15,]    58    75   100\n",
      "[16,]    51    55    66\n",
      "[17,]    56    54    51\n",
      "[18,]    84    80    72\n",
      "[19,]    86    87    85\n",
      "[20,]    69    61    73\n",
      "[21,]    57    54    59\n",
      "[22,]    77    70    54\n",
      "[23,]    69    82    57\n",
      "[24,]    44    49    43\n",
      "[25,]    28    21    19\n",
      "[26,]    17    15    11\n",
      "[27,]    12    10     5\n",
      "[28,]    16    15     9\n",
      "[29,]    12    13    18\n",
      "[30,]     9    14    20\n",
      "[31,]     9     8    18\n",
      "[32,]    10    17    19\n",
      "[33,]    16    39    36\n",
      "[34,]    25    30    20\n",
      "[35,]    11    27    34\n",
      "[36,]    16    55    76\n",
      "[37,]    29    20    40\n",
      "[38,]    15    27    27\n",
      "[39,]    25    25    27\n",
      "[40,]    17    11    11\n",
      "[41,]    55    74    59\n",
      "[42,]    46    70    56\n",
      "[43,]    14    12     9\n",
      "[44,]    10    10    13\n",
      "[45,]    10    11    13\n",
      "[46,]    10    10    14\n",
      "[47,]    11    12    15\n",
      "[48,]    12    15    17\n",
      "[49,]    11    12    16\n",
      "[50,]    23    15    18\n",
      "[51,]    25    48    57\n",
      "[52,]    24    39    62\n",
      "[53,]    33    42    41\n",
      "[54,]    35    27    36\n",
      "[55,]    13    13    36\n",
      "[56,]    13    24    10\n",
      "[57,]     8    10    11\n",
      "[58,]    11     9    11\n",
      "[59,]    12    12    14\n",
      "[60,]    13    15    17\n",
      "[61,]    15    17    17\n",
      "[62,]    16    18    19\n",
      "[63,]    10    22    24\n",
      "[64,]    10    11    22\n",
      "\n",
      ", , 25, 1\n",
      "\n",
      "      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]\n",
      " [1,]   10   14   10   12   12   11   10   11   12    10    10    11    11\n",
      " [2,]   11   11   12   10   11   12   11   11   12    10    11    12    12\n",
      " [3,]   11   13   11   11   11   11   12   11   11    12    11    10    12\n",
      " [4,]   11   11   11   11   12   12   12   11   11    11    10    11    11\n",
      " [5,]   12   11   11   13   12   11   12   11   12    12    12    11    11\n",
      " [6,]   12   12   12   12   11   12   11   12   11    12    12    12    12\n",
      " [7,]   11   10   13   11   12   11   12   11   12    11    12    12    13\n",
      " [8,]   12   11   11   11   12   12   12   12   11    11    11    11    12\n",
      " [9,]   13   11   12   12   12   11   11   12   11    12    10    11    10\n",
      "[10,]   12   13   12   12    9   10   11   11   12    10    11     9     9\n",
      "[11,]   12   11   11   12   11   10   11   11   10     9     8     7     6\n",
      "[12,]   11   11   12   12   11    9   10    9    8     7     6     4     5\n",
      "[13,]   12   12   10   11    9   10    9    6    6     6     5     5     5\n",
      "[14,]   11   11   10   12    8    6    6    5    4     5     6     7     7\n",
      "[15,]   10   10    9    7    6    5    5    5    5     6     9    30    59\n",
      "[16,]   10    8    8    5    5    5    6    6   11    43    73    99   120\n",
      "[17,]    8    7    5    5    6    7   11   41   71    99   112   136   125\n",
      "[18,]    6    5    5    7    6   37   71  102  130   141   153   119   103\n",
      "[19,]    6    6    7   14   64  101  135  139  157   152   132    79   103\n",
      "[20,]    5    8   25   82  124  144  160  153  142   125    45    84    77\n",
      "[21,]    8   24   94  138  151  156  136  106   67    47    66    57    85\n",
      "[22,]   17   93  152  155  148  136  110   50   22    37    49    72    59\n",
      "[23,]   81  148  151  150  131  116   31   13   23    58    56    63    88\n",
      "[24,]  136  150  144   95   80   74   25   34   38    53    53    25    65\n",
      "[25,]  153  145  106   62   44   22   36   28   89    98    41    39    21\n",
      "[26,]  144  144   71   58   23   38   75   86   81    55    56    18    24\n",
      "      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]\n",
      " [1,]    11    10    10    10     9     8     9     8     9    19    48    80\n",
      " [2,]    11    11    10    11    10     9     9     9     8     8     8     8\n",
      " [3,]    13    11    11    11    10     9     9     7     8     6     7     7\n",
      " [4,]    12    11    12    11     9     9     8     8     7     7     6     7\n",
      " [5,]    12    12    11    10    10    10     7     7     5     7     6     7\n",
      " [6,]    11    12    12    10    10    10     9     7     6     6     6     7\n",
      " [7,]    12    11    12    10    10     8     8     7     6     6     6     6\n",
      " [8,]    10    11    11    10    10     9     7     7     6     6     6     5\n",
      " [9,]     9     9     7     7     7     6     6     5     5     5     5     4\n",
      "[10,]     9     8     5     5     4     4     4     4     4     5     4     5\n",
      "[11,]     6     6     4     4     5     4     5     7     6     7    19    31\n",
      "[12,]     4     4     5     7     6     6    24    50    55    71    70    69\n",
      "[13,]     6     7     7    29    57    80    91   105    95   103   101    81\n",
      "[14,]    28    38    78   101   126   132   129   114    95    84    61    43\n",
      "[15,]    90   111   124   144   133   125   111    98    68    40    26    21\n",
      "[16,]   124   145   139   125   121   109    94    60    29    17    18    19\n",
      "[17,]   118   100   115   111   103    93    70    22    17    17    16    18\n",
      "[18,]   115    63    59    91    82    82    32    15    23    24    19    24\n",
      "[19,]    93    46    35    77    68    23    12    17    27    29    37    48\n",
      "[20,]    89    73    72    59    36    23    17    28    36    37    47    55\n",
      "[21,]   100    79    68    52    36    22    31    52    51    65    58    62\n",
      "[22,]    83    57    49    43    20    23    55    55    70    68    73    82\n",
      "[23,]    61    48    39    20    12    42    63    70    63    60    61    66\n",
      "[24,]    31    31    18     9    10    42    72    63    45    37    30    34\n",
      "[25,]    24    19     8     8     8    54    73    50    37    27    30    31\n",
      "[26,]    17    11     7     7     8    59    67    35    44    84    85    68\n",
      "      [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]\n",
      " [1,]   101   118   129   148   146   147   143   152   152   150   147   157\n",
      " [2,]    21    38    67    95   111   120   126   132   131   133   137   137\n",
      " [3,]     7     7     7    11    27    48    83   105   129   145   144   150\n",
      " [4,]     7     6     6     6     7     8     8     6     8    12    20    24\n",
      " [5,]     6     6     6     6     6     6     6     6     6     7     8     7\n",
      " [6,]     6     6     6     6     5     5     6     5     6     7     6     6\n",
      " [7,]     6     5     5     5     6     5     5     5     4     6     6     6\n",
      " [8,]     5     5     4     7     8    12     7     6     8     8    10    20\n",
      " [9,]     4     4     5     5     8     9     8     7    22    37    35    30\n",
      "[10,]     6     5     5     8    11    16    18    50    54    42    30    22\n",
      "[11,]    39    40    42    31    22    20    50    75    76    59    29    35\n",
      "[12,]    68    58    52    46    42    40    66    84    75    34    92    82\n",
      "[13,]    69    49    27    21    22    22    37    40    15    48    59    66\n",
      "[14,]    25    21    20    22    20    18    19    17    18    20    34    23\n",
      "[15,]    20    25    26    18    17    21    18    16    23    24    25    23\n",
      "[16,]    19    26    27    24    16    19    21    16    31    38    44    45\n",
      "[17,]    20    16    21    25    29    32    29    32    39    54    50    59\n",
      "[18,]    28    35    41    54    60    57    58    53    63    74    74    75\n",
      "[19,]    50    51    51    54    64    71    72    63    79   101    96    90\n",
      "[20,]    57    75    73    73    76    89    96   110   107   117   106    80\n",
      "[21,]    71    77    79    71    72    69    85   104   113   123   135    83\n",
      "[22,]    84    83    79    76    34    96   112   107   106   125   128    34\n",
      "[23,]    69    84    96    91   103   112   108   105   114   126    51    17\n",
      "[24,]    35    48    70    91   104   111   117   122   123    55    16    13\n",
      "[25,]    26    27    41    63    60    54    63    62    21    11    12     7\n",
      "[26,]    49    27    22    37    66    67    56    27    20    11     7     6\n",
      "      [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]\n",
      " [1,]   143   144   155   160   152   134   156   151   152   150   156   174\n",
      " [2,]   133   138   142   137   138   143   145   150   155   163   174   169\n",
      " [3,]   149   151   156   153   155   161   156   149   110    51    24    16\n",
      " [4,]    39    42    51    39    18    14    10    11    12    11     6     6\n",
      " [5,]    10    10    11     9     7     6     6     6     6     6     5     5\n",
      " [6,]     5     6     5     5     6     6     6     6     6     5     6     5\n",
      " [7,]     8     9     8     8    10    10     9     9     9     9     8     7\n",
      " [8,]    29    30    35    35    33    30    22    24    26    35    25    11\n",
      " [9,]    27    27    23    25    25    25    27    36    51    74    79    73\n",
      "[10,]    23    29    36    41    40    26    36    73    85   107   103   113\n",
      "[11,]    45    40    38    32    19    31    48    69    93    98   117   130\n",
      "[12,]    58    40    25    14    15    22    34    38    39    44    51    63\n",
      "[13,]    65    32    16    14    13    11    11    11    10    11     9     9\n",
      "[14,]    19    28    15    18    15     9    11    13    12    14    15    12\n",
      "[15,]    22    19    12     8    17    15    16    16    15    14    10    15\n",
      "[16,]    31    29    30    21     9    33    44    55    62    59    26    15\n",
      "[17,]    57    46    41    36    23    56    58    74    72    64    63    70\n",
      "[18,]    70    61    64    38    20    21    16    18    30    35    35    38\n",
      "[19,]    88    82    36    17    12     7     4     5     7     6     6     6\n",
      "[20,]    80    38    12     6     5     5     4     5     5     4     4     5\n",
      "[21,]    37    13     6     5     4     4     5     4     4     4     4     5\n",
      "[22,]    16    10     6     5     5     5     5     5     5     5     5     5\n",
      "[23,]     8     9     6     6     6     6     7     6     8     8     8     7\n",
      "[24,]     7     5     5     6     7     8     9     9     9    10     9    10\n",
      "[25,]     8     7     7     8     8     9    11    10    10     8    11     9\n",
      "[26,]     7     8     9    10     9    10    11    10    11    10    11    10\n",
      "      [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]\n",
      " [1,]   178   202   164   116    25    20    17     7     6     7     7     9\n",
      " [2,]    96    33    12    11     7     6     6     6     7     6     7     9\n",
      " [3,]    13    10     6     6     6     6     6     6     6     6     7     8\n",
      " [4,]     6     6     6     6     6     6     5     6     6     6     8     7\n",
      " [5,]     5     5     6     6     5     5     5     6     6     5     7     8\n",
      " [6,]     5     5     5     5     5     5     5     5     5     5     6     7\n",
      " [7,]     4     4     4     4     4     4     4     4     4     4     5     6\n",
      " [8,]     8     7     5     5     4     4     4     4     4     4     4     4\n",
      " [9,]    57    43    29    19    11     9     7     5     6     7     8     8\n",
      "[10,]   105    91    78    80    80    76    65    70    55    41    25    16\n",
      "[11,]   148   147   147   141   133   129   118    85    46    25    41    64\n",
      "[12,]    81    95   102   108   116   116    98    75    27    35    63    87\n",
      "[13,]    10    15    18    23    33    39    36    26    19    43    73    90\n",
      "[14,]    11    10    10     9    10     9     9    14    40    55    66    78\n",
      "[15,]    15    14    14    17    17    15    17    15    21    24    30    44\n",
      "[16,]    13    11    10     9     9    10    11     9    12    17    27    38\n",
      "[17,]    53    32    26    19    12     8     7     8    12    22    35    42\n",
      "[18,]    40    44    33    26    26    28    39    36    13    43    68    83\n",
      "[19,]     6     7    14    25    30    26    27    24    15    52    68    79\n",
      "[20,]     5     4     6     4     5    10    18    19    24    40    49    70\n",
      "[21,]     5     4     4     4     4     5     7     7    44    63    64    60\n",
      "[22,]     5     5     5     5     5     4     5     7    13    36    49    52\n",
      "[23,]     7     7     7     6     5     4     4     4     6    15    19    33\n",
      "[24,]     9     8     7     6     6     5     5     5     7     9    12    26\n",
      "[25,]     9     9     9     6     7     6     6     6     6     8    10    21\n",
      "[26,]    10    10     9     9     7     6     6     7     7     6    14    12\n",
      "      [,62] [,63] [,64]\n",
      " [1,]     9    12    13\n",
      " [2,]    10    11    13\n",
      " [3,]    10    11    13\n",
      " [4,]    10    10    10\n",
      " [5,]     8     9    11\n",
      " [6,]     7     8    10\n",
      " [7,]     5     7     8\n",
      " [8,]     4     5     5\n",
      " [9,]     8     7     5\n",
      "[10,]    12     8    23\n",
      "[11,]    91   125   164\n",
      "[12,]   120   174   202\n",
      "[13,]   128   163   171\n",
      "[14,]    94   117   149\n",
      "[15,]    57    73    98\n",
      "[16,]    50    52    63\n",
      "[17,]    56    52    50\n",
      "[18,]    84    79    72\n",
      "[19,]    84    86    84\n",
      "[20,]    69    59    69\n",
      "[21,]    55    52    57\n",
      "[22,]    76    68    54\n",
      "[23,]    65    82    56\n",
      "[24,]    45    49    43\n",
      "[25,]    27    22    18\n",
      "[26,]    16    14    10\n",
      "\n",
      " [ reached getOption(\"max.print\") -- omitted 38 row(s) and 158765 matrix slice(s) ]\n"
     ]
    }
   ],
   "source": [
    "print(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Create LeNet style network\n",
    "get.lenet <- function() {\n",
    "    \n",
    "    # create data variable (i.e. symbol)\n",
    "    source <- mx.symbol.Variable(\"data\")\n",
    "    \n",
    "    # normalize values of input data \n",
    "    source <- (source-128) / 128\n",
    "    \n",
    "    # SliceChannel is a symbol that can be indexed just like an array\n",
    "    frames <- mx.symbol.SliceChannel(source, num.outputs = 30);\n",
    "    \n",
    "    # init list of differences\n",
    "    diffs <- list()\n",
    "  \n",
    "    # compute differences for each \"frame\"\n",
    "    for (i in 1:29) {\n",
    "        diffs <- c(diffs, frames[[i + 1]] - frames[[i]])\n",
    "    }\n",
    "  \n",
    "    # set the property for number of arugments in diffs variable\n",
    "    diffs$num.args = 29\n",
    "    \n",
    "    # concatonate frame variables into single variable\n",
    "    source <- mxnet:::mx.varg.symbol.Concat(diffs)\n",
    "    \n",
    "    # convolution layer with 5x5 kernel dimention\n",
    "    net <- mx.symbol.Convolution(source, kernel = c(5, 5), num.filter = 40)\n",
    "    \n",
    "    # activation layer using Rectified Linear Unit (relu) activation function\n",
    "    net <- mx.symbol.Activation(net, act.type = \"relu\")\n",
    "    \n",
    "    # Max pooling layer with a 2x2 kernel and no overlap since stride is 2x2\n",
    "    net <- mx.symbol.Pooling(net, pool.type = \"max\", kernel = c(2, 2), stride = c(2, 2))\n",
    "    \n",
    "    # continue building the network ...\n",
    "    net <- mx.symbol.Convolution(net, kernel = c(3, 3), num.filter = 40)\n",
    "    net <- mx.symbol.Activation(net, act.type = \"relu\")\n",
    "    net <- mx.symbol.Pooling(net, pool.type = \"max\", kernel = c(2, 2), stride = c(2, 2))\n",
    "    \n",
    "    # flatten the features to single variable\n",
    "    flatten <- mx.symbol.Flatten(net)\n",
    "    \n",
    "    # add a drop out layer where 50% of data gets dropped out at training time\n",
    "    flatten <- mx.symbol.Dropout(flatten, p=0.2)\n",
    "    \n",
    "    # add the final fully connected layer for output of dimension 600\n",
    "    fc1 <- mx.symbol.FullyConnected(data = flatten, num.hidden = 600)\n",
    "    \n",
    "    # Name the final layer as softmax so it auto matches the naming of data iterator\n",
    "    # Otherwise we can also change the provide_data in the data iter\n",
    "    return(mx.symbol.LogisticRegressionOutput(data = fc1, name = 'softmax'))\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "?mx.symbol.Activation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "batch_size <- 16"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# step 2\n",
    "network <- get.lenet()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Custom evaluation metric using CRPS.\n",
    "costfun <- function(label, pred) {\n",
    "  pred  <- as.array(pred )\n",
    "  label <- as.array(label)\n",
    "  return(sum((label - pred) ^ 2) / length(label))\n",
    "}\n",
    "\n",
    "# create custom mxnet metric for training\n",
    "mx.metric.CRPS <- mx.metric.custom(\"CRPS\", costfun)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Start training with 1 devices\n",
      "[1] Train-CRPS=0.065289741684146\n",
      "[2] Train-CRPS=0.0512821399910332\n",
      "[3] Train-CRPS=0.0493161115168579\n",
      "[4] Train-CRPS=0.0475276135499684\n",
      "[5] Train-CRPS=0.0456761901207058\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "   user  system elapsed \n",
       "109.448  17.452  55.862 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# step 3\n",
    "mx.set.seed(0)\n",
    "\n",
    "# start the clock\n",
    "start_time <- proc.time()\n",
    "\n",
    "# train the model parameters with the data\n",
    "systole_model <- mx.model.FeedForward.create(\n",
    "  X             = data_train,\n",
    "  ctx           = mx.gpu(0) ,\n",
    "  symbol        = network   ,\n",
    "  num.round     = 5         ,\n",
    "  learning.rate = 0.01      ,\n",
    "  wd            = 0.0001    ,\n",
    "  momentum      = 0.9       ,\n",
    "  eval.metric   = mx.metric.CRPS\n",
    ")\n",
    "\n",
    "# get the time delta\n",
    "proc.time() - start_time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Save the trained neural network model to disk.\n",
    "# This creates two files: \n",
    "#    1. systole_model-0065.params\n",
    "#    2. systol_model-symbol.json\n",
    "#\n",
    "# WARNING: the 65 here must match num.rounds parameter provided to mx.model.FeedForward.create\n",
    "#          So if the model was saved at 65, then it must be loaded with 65.\n",
    "#\n",
    "mx.model.save(systole_model,\"diastole_model_BN\",5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# this reads in all the data at once (not a great idea, but we can do it)\n",
    "labels <- mx.io.extract(data_train,\"label\")\n",
    "data   <- mx.io.extract(data_train,\"data\" )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
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       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 64\n",
       "2. 64\n",
       "3. 30\n",
       "4. 5293\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1]   64   64   30 5293"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# \n",
    "dim(labels)\n",
    "dim(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Start training with 1 devices\n",
      "[1] Train-CRPS=0.178105931461436\n",
      "[2] Train-CRPS=0.0548077347915041\n",
      "[3] Train-CRPS=0.0548650146512343\n",
      "[4] Train-CRPS=0.0547840085574487\n",
      "[5] Train-CRPS=0.0548151605978196\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "   user  system elapsed \n",
       " 97.364  14.624  56.548 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mx.set.seed(0)\n",
    "\n",
    "# start the clock\n",
    "start_time <- proc.time()\n",
    "\n",
    "# train the model parameters with the data\n",
    "diastole_model <- mx.model.FeedForward.create(\n",
    "  X             = data_train,\n",
    "  ctx           = mx.gpu(0) ,\n",
    "  symbol        = network   ,\n",
    "  num.round     = 5         ,\n",
    "  learning.rate = 0.01      ,\n",
    "  wd            = 0.0001    ,\n",
    "  momentum      = 0.9       ,\n",
    "  eval.metric   = mx.metric.CRPS\n",
    ")\n",
    "\n",
    "# get the time delta\n",
    "proc.time() - start_time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "mx.model.save(diastole_model,\"diastole_model_BN\",5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# this reads in all the data at once (not a great idea, but we can do it)\n",
    "labels <- mx.io.extract(data_train,\"label\")\n",
    "data   <- mx.io.extract(data_train,\"data\" )\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# create index for selecting samples\n",
    "sample_index = c(1:20);\n",
    "\n",
    "# apply the model to just a few data to generate some predictions\n",
    "model_predictions <- predict(diastole_model, data[,,,sample_index])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.116958567046592"
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      "text/latex": [
       "0.116958567046592"
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      "text/markdown": [
       "0.116958567046592"
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       "[1] 0.1169586"
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uT1Kj5+32y+GwBUbpWpukvLt7XJt2Or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\n8Y477jh27JjViRCkZsyY0atXrypVqoSFhdWpU+e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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# have a look at what the label and associated prediction looks like\n",
    "ix = 14;\n",
    "x  <- seq(1, 600, 1)\n",
    "y1 <- model_predictions[,ix]\n",
    "y2 <- labels[,ix]\n",
    "df <- data.frame(volume=x,prediction=y1,label=y2)\n",
    "\n",
    "# basic graphical object\n",
    "ggplot(df, aes(volume)) +\n",
    "  \n",
    "  # the predicted CDF using the trained model\n",
    "  geom_point(aes(y=prediction), color=\"blue\") +  \n",
    "\n",
    "  # the label for this set of images (i.e. systole volume)\n",
    "  geom_line(aes(y=label), color=\"red\", linetype=\"dotted\") + \n",
    "\n",
    "  # make the plot theme simple \n",
    "  theme_bw()\n",
    "\n",
    "# evaluate the cost function for this prediction\n",
    "costfun(labels[,ix],model_predictions[,ix])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.0652891142791127"
      ],
      "text/latex": [
       "0.0652891142791127"
      ],
      "text/markdown": [
       "0.0652891142791127"
      ],
      "text/plain": [
       "[1] 0.06528911"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "costfun(labels[,sample_index],model_predictions[,sample_index])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "16"
      ],
      "text/latex": [
       "16"
      ],
      "text/markdown": [
       "16"
      ],
      "text/plain": [
       "[1] 16"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batch_size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "C++ object <0x1818cee0> of class 'MXNativeDataIter' <0x445af40>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_train"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "ERROR",
     "evalue": "Error in parse(text = x, srcfile = src): <text>:1:7: unexpected symbol\n1: print data_train\n          ^\n",
     "output_type": "error",
     "traceback": [
      "Error in parse(text = x, srcfile = src): <text>:1:7: unexpected symbol\n1: print data_train\n          ^\nTraceback:\n"
     ]
    }
   ],
   "source": [
    "print data_train"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "NULL"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dim(data_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Discovery Requires Experimentation ...\n",
    "\n",
    "There are many ways to explore and even improve this model:\n",
    "\n",
    "1. Maybe try removing batch normalization layers ([ref](https://arxiv.org/abs/1502.03167)) [hint: modify get.lenet()]\n",
    "2. Try increasing or decreasing the number of features in the convolution layer [hint: modify ```num.filter``` in get.lenet()]\n",
    "3. How does batch size effect training?\n",
    "4. Have a go at modifying the learning rate and momentum of the training phase [hint: learning.rate, wd, and momentum]\n",
    "5. Notice that the CRPS function uses the residual squared.  What else might we try (hint: try abs in costfun)\n",
    "6. Try using different activation function (i.e. other than relu).  How does this effect performance?\n",
    "7. Maybe try using different pooling functions (i.e. other than max)[hint: use help to see other functions]\n",
    "8. Maybe try removing dropout layer or modifying the percentage dropout (i.e. default is 50%)\n",
    "9. Maybe try double differencing the data or not differencing the data at all\n",
    "10. What are other ways we could formulate the network output (i.e. other than discrete CDF)?"
   ]
  },
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    "# NDSB Competition Results\n",
    "\n",
    "There were nearly [200 participants](https://www.kaggle.com/c/second-annual-data-science-bowl/leaderboard) in the NDSB-II with a variety of different approaches to solving this challange. The CRPS scores for the leaderboard top ten ranged from 0.009485 in first place to 0.012611 in tenth place.  To get a better feel for how your results stackup against the competion, we can create an empirical CDF from the leaderboard CRPS scores\n",
    "<img src=\"img/fig10.png\" alt=\"CRPS ECDF\" style=\"width: 500px;\"/>\n",
    "Therefore, achieving a CRPS score of 0.03 is at about the 80th percentile w.r.t. the overall competition results.  \n",
    "\n",
    "So how much better is a CRPS of 0.009485 than 0.012611?  To get a loose sense for how CRPS effects ejection fraction calculations, the competition provided this infographic to performers\n",
    "\n",
    "<img src=\"img/fig11.png\" alt=\"CRPS ECDF\" style=\"width: 700px;\"/>\n",
    "\n",
    "Analysis of the competion results seem more favorable than this graphic might imply and noted that top performer models agreed well with previous studies of human performance.  For a medical perspective on the competion results check out this [kaggle blog](https://www.kaggle.com/c/second-annual-data-science-bowl/forums/t/19839/a-medical-perspective-on-the-quality-of-the-left-ventricular-volume-and) by Dr. Andrew Arai of the NIH.  Additional analysis of the clinical applicability provided by Jonathan Mulholland of Booze Allen Hamilton [here](http://www.datasciencebowl.com/leading-and-winning-team-submissions-analysis/). These analysis conclude, based on the top four models submitted to the competion, that \"*The models keep the diagnosis categories pretty tightly grouped together. While the models are not right 100% the time, there is a very low probability of a severely abnormal EF being incorrectly categorized in the mild to hyperdynamic range. The normal to mild diagnoses are very likely to stay within their domain ... This is a pretty good sign pointing towards suitability for clinical applications*\"."
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