diff --git a/.github/workflows/deploy.yml b/.github/workflows/deploy.yml
index 8e9ef6b7b..68234f3dd 100644
--- a/.github/workflows/deploy.yml
+++ b/.github/workflows/deploy.yml
@@ -18,10 +18,10 @@ jobs:
     - uses: actions/checkout@v2
 
     # Install dependencies
-    - name: Set up Python 3.7
+    - name: Set up Python 3.10.16
       uses: actions/setup-python@v1
       with:
-        python-version: 3.7
+        python-version: 3.10.16
 
     - name: Install dependencies
       run: |
diff --git a/README.md b/README.md
index 0724dd3b1..0b5b2e403 100644
--- a/README.md
+++ b/README.md
@@ -33,3 +33,12 @@ To build locally, `pip install -r requirements.txt` and then `jupyter-book build
 **Follow the build instructions on the Jupyter Book guide**. The guide has
 information for how to use the Jupyter Book CLI to build this book. You can find
 the [Jupyter Book build instructions here](https://jupyterbook.org/start/build.html).
+
+**Creating a PDF of the book**
+I had already installed latex on my machine; this is needed.
+- Create Virtual Environment using environment.yaml or requirements.txt
+- python3 -m pip install packaging
+- jupyter-book build . --builder latex
+- cd _build/latex
+- make
+- It will save the pdf to _build/latex -- look for the pdf in the folder
\ No newline at end of file
diff --git a/chapters/14/1/Properties_of_the_Mean.ipynb b/chapters/14/1/Properties_of_the_Mean.ipynb
index 1cca3ad31..8967118bd 100644
--- a/chapters/14/1/Properties_of_the_Mean.ipynb
+++ b/chapters/14/1/Properties_of_the_Mean.ipynb
@@ -199,13 +199,16 @@
     "\n",
     "To see this, notice that the mean can be calculated in different ways.\n",
     "\n",
-    "$$\\begin{align*}\n",
-    "\\mbox{mean} ~ &=~ 4.25 \\\\ \\\\\n",
-    "&=~ \\frac{2 + 3 + 3 + 9}{4} \\\\ \\\\\n",
-    "&=~ 2 \\cdot \\frac{1}{4} ~~ + ~~ 3 \\cdot \\frac{1}{4} ~~ + ~~ 3 \\cdot \\frac{1}{4} ~~ + ~~ 9 \\cdot \\frac{1}{4} \\\\ \\\\\n",
-    "&=~ 2 \\cdot \\frac{1}{4} ~~ + ~~ 3 \\cdot \\frac{2}{4} ~~ + ~~ 9 \\cdot \\frac{1}{4} \\\\ \\\\\n",
-    "&=~ 2 \\cdot 0.25 ~~ + ~~ 3 \\cdot 0.5 ~~ + ~~ 9 \\cdot 0.25\n",
-    "\\end{align*}$$\n",
+    "\n",
+    "\\begin{align*}\n",
+    "\\text{mean} &= 4.25 \\\\\n",
+    "&= \\frac{2 + 3 + 3 + 9}{4} \\\\\n",
+    "&= 2 \\cdot \\frac{1}{4} + 3 \\cdot \\frac{1}{4} + 3 \\cdot \\frac{1}{4} + 9 \\cdot \\frac{1}{4} \\\\\n",
+    "&= 2 \\cdot \\frac{1}{4} + 3 \\cdot \\frac{2}{4} + 9 \\cdot \\frac{1}{4} \\\\\n",
+    "&= 2 \\cdot 0.25 + 3 \\cdot 0.5 + 9 \\cdot 0.25\n",
+    "\\end{align*}\n",
+    "\n",
+    "\n",
     "\n",
     "The last expression is an example of a general fact: when we calculate the mean, each distinct value in the collection is *weighted* by the proportion of times it appears in the collection.\n",
     "\n",
@@ -275,7 +278,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": 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",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]
@@ -313,7 +316,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]
@@ -363,7 +366,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]
@@ -442,7 +445,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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bdyW7d+9WmzZtLIXsZjm8lOXk5CgyMlLz5s0rcTWD2WxWQkKCoqOjFR4ersDAQCUkJCg3N1crVqxwYGIAAJxLtWrVSrw2DENms/mKh9z+vMyNcHFx0SeffKKkpCS1adNGH374oe644w7LYbtq1app4MCBWrJkiQoLC7Vs2TINHTq0zMyXs/x12uXz4q70nsvLVK1atdS0y+8rLi5W/fr1tXnz5hI/O3bssOxZLMu1DuWWtX1vhMMPX14uXV27dtXrr79umX748GFlZGSoW7dulmnu7u4KDQ3Vtm3bNGLEiCuOl5aWZvfMN8LWuUw1C1VUVGjTMe2lsLDQLr8XZ/1dl3dsV9tjm964gIAAR0co11q1aqXi4mJt377dcvjy3Llz2rNnjwYPHixJcnV1VVFR0XWNaxiGOnXqpE6dOmnSpEnq3LmzPvnkEwUFBUn64xBmp06dtHDhQuXm5qpPnz62/WBWateunTIzM1WlShU1bdr0isvcyOf/8/iJiYk6ffq0TfaWObSULVq0SAcPHtSCBaUvNc7IyJAkmUymEtNNJpNOnDhx1TGd8Q84LS3N5rlys1Ll4uLwTm2VqlWr2vzz22Obgu1qD2xTOJKfn5969eqlZ555RnPmzFHt2rU1ffp01axZU/3795ck+fr6Kj8/X8nJyWrbtq3c3d1Vo0aNq465Y8cObdy4Ud27d5fJZNLu3bt17NgxtWzZ0rKMv7+/OnfurKlTp6pPnz6qVauW3T/rldx3333q3LmzBg8erJdfflkBAQHKzMzUV199ZTkEe72f/8/69eunN998U0OGDNHUqVPl4+OjPXv2yNPTU/fee+9153XY4cu0tDRNmzZN7733XomrMf7qr7tXzWbzDe9yBQCgspk/f77uuOMODRo0SN27d9fFixe1YsUKy4nvISEheuKJJzRy5Ej5+fmVOiH/r2rVqqVt27YpIiJCwcHBmjJlimJiYhQREVFiuaFDh6qgoOCKhy5vFcMwlJiYqHvuuUfjxo3TnXfeqREjRujAgQO6/fbbJV3/5/8zDw8PrVmzRrfffrsGDhyou+66S3FxcTfcU4zs7GzbHhC10kcffaSxY8eWOGGvqKhIhmGoSpUqSklJ0Z133qkNGzbojjvusCwzYMAA3XbbbXrnnXccEfuG2GtP2dHtL9p0THtp3OlledYLsumY7H2wD7ar7bFNy4+cnBzVrl271PSKfkd/e5kzZ44+/PBD7dy509FRnM7VvmsOO/4VFhZW6qqGsWPHys/PT+PHj5e/v7+8vb2VnJxsKWX5+fn69ttvNW3aNEdEBgBUQuZqdStESbpVcnNzlZaWpnfeeUfPPvuso+OUKw4rZZfvnPtnNWrUUJ06dSyXzUZFRWn27NkKCAiQv7+/Zs2aJQ8PD/Xr188RkQEAqPC++eYby/lmV3KtZ0TGxMRo5cqVevjhh696UR6uzKnPFB83bpwuXryomJgYy81jk5KSVLNmTUdHAwCgQurQoYM2b958w+9PSEhQQkKCDRNVHk5VytasWVPitWEYio2NVWxsrIMSAQBQubi7u6t58+aOjlEpWX315datW0vcsfevTp8+ra1bt9okFAAAQGVjdSnr3bu3kpOTrzr/66+/Vu/evW0SCgAAoLKxupRd61ECBQUFqlLF4U9tAgDghlStWlV5eXk2f3QOcJnZbFZeXl6pR0NdVuY5ZefOnVNOTo7l9ZkzZ3T06NFSy2VnZ2vlypWWG7EBAFDeeHh46NKlSzp37pyjo6ACc3NzU/Xq1a84r8xSNn/+fMvzKK910r3ZbNYLL7xwk1EBAHCc6tWrX/UfTMDeyixl9913n9zc3GQ2mzVt2jT16dPH8rDRywzDUI0aNdShQwd17NjRrmEBAAAqqjJLWefOndW5c2dJ0qVLl9S7d2+1adPmlgQDAACoTKy+T9nkyZPtmQMAAKBSu2op+/jjjyVJAwcOlGEYltfXMmjQINskAwAAqESuWsrGjBkjwzDUt29fubq6asyYMdcczDAMShkAAMANuGop+/HHHyVJrq6uJV4DAADA9q5aynx9fct8DQAAANvhFvwAAABOwOqrLyVp48aNWrRokdLT03X27NlSj6IwDEO7du2yaUAAAIDKwOpSlpCQoOeff1716tVTx44d1bp1a3vmAgAAqFSsLmXx8fHq0qWLVq5caTn5HwAAALZh9Tllp0+fVp8+fShkAAAAdmB1KWvfvr2OHDlizywAAACVltWl7NVXX9XSpUu1adMme+YBAAColKw+pywuLk61atXSo48+Kj8/PzVu3FguLi4lljEMQ4mJiTYPCQAAUNFZXcr27dsnwzDUqFEjXbp0SQcOHCi1jGEYNg0HAABQWVhdylJTU+2ZAwAAoFLjjv4AAABOwOo9ZUePHrVqucaNG99wGAAAgMrK6lLWtm1bq84ZO3PmzE0FAgAAqIysLmVvv/12qVJWVFSkw4cP69///rfq16+vUaNG2TwgAABAZWB1KRsyZMhV50VHR6tbt27Kzc21SSgAAIDKxiYn+nt6emrIkCGaP3++LYYDAACodGx29WW1atV04sQJWw0HAABQqdiklKWmpuqdd95Ry5YtbTEcAABApXPTV1/m5OTo3Llz8vT0VHx8vE3DAQAAVBZWl7IuXbqUKmWGYcjLy0vNmzdX37595eXlZfWK33vvPf3zn/+03P+sVatWmjBhgnr27ClJMpvNeu2117Ro0SJlZ2crODhYs2bNUuvWra1eBwAAQHlhdSlLSEiw6Yp9fHz08ssvy8/PT8XFxfr44481ZMgQbdy4Uf/1X/+luXPnKj4+XvHx8QoICNDrr7+uxx57TDt27FDNmjVtmgUAAMDRHPaYpbCwMD344INq3ry5/P399cILL8jT01M7duyQ2WxWQkKCoqOjFR4ersDAQCUkJCg3N1crVqxwVGQAAAC7cYpnXxYVFWnlypXKy8tTp06ddPjwYWVkZKhbt26WZdzd3RUaGqpt27Y5MCkAAIB9WH340h5+/vln9ejRQ/n5+fLw8NCSJUvUpk0bS/EymUwlljeZTNe87UZaWprd8t4MW+cy1SxUUVGhTce0l8LCQrv8Xpz1d13esV1tj2164wICAhwdAbhlHFrKAgICtHnzZuXk5GjVqlWKiorS6tWrLfP/emGB2Wy+5vM3nfEPOC0tzea5crNS5eLi0F+f1apWrWrzz2+PbQq2qz2wTQFYy6H/qru6uqp58+aSpA4dOuj777/X/PnzNWHCBElSZmamGjVqZFk+Kyur1N4zAACAisCqc8ry8/M1Y8YMbdiwwa5hiouLVVBQoCZNmsjb21vJycklMnz77bcKCQmxawYAAABHsGpPmZubm9588029/vrrNlvxSy+9pB49eqhhw4aWqyq3bNmixMREGYahqKgozZ49WwEBAfL399esWbPk4eGhfv362SwDAACAs7D68GVQUJAOHjxosxVnZGToySefVGZmpmrVqqU2bdpoxYoV6t69uyRp3LhxunjxomJiYiw3j01KSuIeZQAAoEKyupRNnTpVw4cP11133WW56/7NuNbNaA3DUGxsrGJjY296XQAAAM7O6lL21ltvycvLS4MGDZKPj4+aNm0qd3f3EssYhqHExESbhwQAAKjorC5l+/btk2EYlqshjxw5UmqZa92uAgAAAFdmdSlLTU21Zw4AAIBKzSkeswQAAFDZXVcpKyoqUmJiop5++mlFRETop59+kiRlZ2frk08+0cmTJ+0SEgAAoKKzupTl5OSoR48eGj16tD799FOtX79ep0+fliTVrFlTzz//vN599127BQUAAKjIrC5lL7/8svbt26fly5dr165dMpvNlnkuLi7q3bu31q9fb5eQAAAAFZ3VpWzNmjV68skn9cADD1zxKks/Pz8dPXrUpuEAAAAqC6tLWXZ2tpo1a3bV+WazWQUFBTYJBQAAUNlYXcp8fX21Z8+eq87funWr/P39bRIKAACgsrG6lPXv31+LFy/W1q1bLdMuH8ZcsGCBVq9ercGDB9s+IQAAQCVg9c1jn3nmGX333Xd65JFH5O/vL8MwNHnyZJ05c0YZGRkKCwvT6NGj7ZkVAACgwrK6lFWrVk2JiYlavny5/vd//1eGYaiwsFDt2rVTnz59NGDAAB6zBAAAcIOsLmWX9e/fX/3797dHFgAAgErrukuZJP3000+W2180btxYbdq0qTB7yS6cO67igtM2HdNUs1C5WbZ9dmjxpQybjmdP+ZcKdPiXwzYdMzevQD/beExJqlenlrxNdWw+LmBLxu+nZRRlOzqGVcwuXjJXq+voGEC5cF2lbOXKlXrxxRd1/Phxy81jDcOQj4+PXnzxxQqxB6244LSObn/RpmMWFRXKxeWG+m+FcOjoSc1a8oVNx8zLy5OHh4dNx5Skqf8zhFIGp2cUZcvt1AJHx7BKvmk0pQywktVN4aOPPtLTTz+tgIAAvfzyy/L395fZbNavv/6qxYsXa/To0SooKNCQIUPsmRcAAKBCsrqUvfHGGwoODtbq1avl5uZWYl5kZKR69eqlN954g1IGAABwA6y+T9mxY8fUv3//UoVMktzc3BQREaHjx4/bNBwAAEBlYXUpa9WqlU6cOHHV+cePH1fLli1tEgoAAKCysbqUTZs2TYsWLdInn3xSat7KlSu1ePFiTZ8+3abhAAAAKgurzymbN2+e6tatq5EjR2ry5Mlq1qyZDMPQwYMHderUKfn5+emtt97SW2+9ZXmPYRhKTEy0S3AAAICKxOpStm/fPhmGoUaNGkmS5fyx6tWrq1GjRrp06ZL2799f4j0V5d5lAAAA9mZ1KUtNte3NTwEAAPD/WX1OGQAAAOyHUgYAAOAEKGUAAABOgFIGAADgBChlAAAAToBSBgAA4ASsLmXt2rXT559/ftX569atU7t27WwSCgAAoLKxupQdOXJEeXl5V52fl5eno0ePWr3iN954Q/fff78aN24sPz8/RUREaM+ePSWWMZvNiouLU6tWrdSgQQOFhYVp7969Vq8DAACgvLiuw5dl3aH/wIEDqlmzptVjbdmyRSNHjtQXX3yhVatWqWrVqnr00Ud19uxZyzJz585VfHy8ZsyYoQ0bNshkMumxxx7T+fPnryc2AACA0yvzjv5Lly7Vxx9/bHk9a9YsLVq0qNRy2dnZ2rNnj3r27Gn1ipOSkkq8XrBggXx9fZWSkqKHH35YZrNZCQkJio6OVnh4uCQpISFBAQEBWrFihUaMGGH1ugAAAJxdmaUsLy9PGRkZltc5OTkqLi4usYxhGKpRo4aGDx+uyZMn33CQ3NxcFRcXy8vLS5J0+PBhZWRkqFu3bpZl3N3dFRoaqm3btlHKAABAhVJmKYuMjFRkZKQkqW3btnrttdfUq1cvuwSZPHmygoKC1KlTJ0mylEGTyVRiOZPJpBMnTlx1nLS0tJvKYapZqKKiwpsa40rsMWZ5UVRUVOb5iDfKHmPm5uXe9HeovKvsn98ebL1NG9a5oCI7fP/t4aJ7ro4dvfHPHxAQYMM0gHOz+oHku3fvtluI5557TikpKVq3bp1cXFxKzPvreWxms7nMc9tu9g84NytVLi5WbxarFBUV2nzM8sTFxUUeHh42HTMvL8/mY0qSp4enAgKa2Hzc8iItLY1/BG3MHtu0Sv6vcrto+++/Pbh4eiqgnp+jYwDlwnU3hfPnz+u3337T2bNnZTabS83v0qXLdY0XGxurpKQkffbZZ2ratKllure3tyQpMzNTjRo1skzPysoqtfcMAACgvLO6lJ09e1aTJk3SJ598oqKiolLzL+/BOnPmjNUrnzRpkpKSkrR69Wq1aNGixLwmTZrI29tbycnJuuOOOyRJ+fn5+vbbbzVt2jSr1wEAAFAeWF3KnnnmGa1evVqRkZHq0qWL5YT8GzVhwgQtW7ZMS5YskZeXl+UcMg8PD3l6esowDEVFRWn27NkKCAiQv7+/Zs2aJQ8PD/Xr1++m1g0AAOBsrC5lX331lUaPHq1XX33VJiteuHChJFlud3HZpEmTFBsbK0kaN26cLl68qJiYGGVnZys4OFhJSUnXdT80AACA8sDqUubq6io/P9udrJmdnX3NZQzDUGxsrKWkAQAAVFRW39E/PDxc69evt2cWAACASmpV+IcAAA/wSURBVMvqUvb3v/9dJ0+e1FNPPaUdO3bo5MmTOnXqVKkfAAAAXD+rD18GBwfLMAzt2rVLiYmJV13ueq6+BAAAwB+sLmUTJ04s86atAAAAuHFWlzJOtgcAALAfq88p+7OioiKdOXNGhYWV93mOAAAAtnRdpez777/Xo48+Kh8fH/n7+2vr1q2SpNOnT2vAgAH6+uuv7RISAACgorO6lG3fvl29evXSoUOHNHDgwBLPvaxbt65yc3P14Ycf2iUkAABARWd1KZs+fbr8/Py0bds2TZ06tdT8e+65R999951NwwEAAFQWVpey77//Xo8//rjc3NyueBVmw4YNLc+vBAAAwPWxupRVqVJFVapcffGMjAy5u7vbJBQAAEBlY3Upa9++vdatW3fFeQUFBVq+fLk6depks2AAAACVidWlbPz48dq0aZOefvpppaamSpJOnjypr776So888ogOHTqkZ5991m5BAQAAKjKrbx57//33a8GCBYqJidHSpUslSVFRUTKbzapdu7YWLlyoO++8025BAQAAKjKrS5kk9evXT7169VJycrJ+/fVXFRcXq1mzZurevbs8PT3tlREAAKDCu65SJkk1atRQWFiYPbIAAABUWlafU/b5558rJibmqvNjYmKueiEAAAAAymZ1KZs3b54uXLhw1fn5+fmaO3euTUIBAABUNlaXsj179qh9+/ZXnd+uXTvt27fPJqEAAAAqG6tLWWFhoS5evHjV+RcvXtSlS5dsEgoAAKCysbqUBQYGatWqVSouLi41r7i4WKtWrVKrVq1sGg4AAKCysLqUPfXUU9q5c6cGDRqkXbt26dKlS7p06ZJ27dqlwYMHa+fOnRo9erQ9swIAAFRYVt8So2/fvjp06JDi4uK0fv16SZJhGDKbzTIMQ5MmTVJERITdggIAAFRk13WfsgkTJqhfv3767LPPlJ6eLrPZrGbNmql3795q2rSpnSICAABUfFaVskuXLikpKUktWrRQcHCw/v73v9s7FwAAQKVi1Tll1atX17hx4ywPIgcAAIBtWX2if0BAgDIyMuyZBQAAoNKyupRNnDhR7733nn7++Wd75gEAAKiUrD7Rf9OmTTKZTLr33nvVqVMnNWvWTO7u7iWWMQxDs2bNsnlIAACAis7qUvbBBx9Y/jslJUUpKSmllqGUAQAA3BirS9nZs2ftmQMAAKBSs/qcMgAAANjPdZeylJQUvf7664qJidGBAwckSXl5edq5c6fOnTt3XWNt3bpVAwcOVOvWreXl5aWPPvqoxHyz2ay4uDi1atVKDRo0UFhYmPbu3Xu9kQEAAJye1aWsoKBAjz/+uHr16qW4uDi9//77OnbsmCTJxcVF/fr107vvvntdK8/Ly1NgYKBee+21UhcNSNLcuXMVHx+vGTNmaMOGDTKZTHrsscd0/vz561oPAACAs7O6lMXFxemLL77QzJkztWPHDpnNZss8Nzc3Pfroo1q7du11rbxHjx6aOnWqwsPDVaVKyShms1kJCQmKjo5WeHi4AgMDlZCQoNzcXK1YseK61gMAAODsrC5ly5cv19/+9jeNHDlSt912W6n5AQEBSk9Pt1mww4cPKyMjQ926dbNMc3d3V2hoqLZt22az9QAAADgDq6++PHXqlIKCgq46v3r16srLy7NJKEmWpweYTKYS000mk06cOHHV96Wlpd3Uek01C1VUVHhTY1yJPcYsL4qKimz63bjMHmPm5uXe9HeovKvsn98ebL1NG9a5oCI7fP/t4aJ7ro4dvfHPHxAQYMM0gHOzupR5e3uXuSds586datKkiS0ylWAYRonXZrO51LQ/u9k/4NysVLm4WL1ZrFJUVGjzMcsTFxcXeXh42HTMvLw8m48pSZ4engoIsP33uLxIS0vjH0Ebs8c2rZL/q9wu2v77bw8unp4KqOfn6BhAuWD14ctHHnlE//znPy1XXEr/vzCtXbtWy5cvV58+fWwWzNvbW5KUmZlZYnpWVlapvWcAAADlndWlbNKkSWrcuLG6du2qUaNGyTAMvfHGG3rggQc0ZMgQtW/fXuPGjbNZsCZNmsjb21vJycmWafn5+fr2228VEhJis/UAAAA4A6tLWc2aNfXll19q/PjxOnXqlNzc3JSSkqK8vDzFxsbqs88+k5ub23WtPDc3V7t379bu3btVXFys3377Tbt379bRo0dlGIaioqI0Z84crVq1Snv27NGYMWPk4eGhfv36XfcHBQAAcGbXdaKTm5ubnn32WT377LM2WfkPP/yg3r17W17HxcUpLi5OgwYNUkJCgsaNG6eLFy8qJiZG2dnZCg4OVlJSkmrWrGmT9QMAADiLa5ayS5cu6fPPP1d6erpuu+029ezZUw0aNLDJyu+55x5lZ2dfdb5hGIqNjVVsbKxN1gcAAOCsyixlGRkZ6tWrlw4dOmS5WWyNGjWUmJioLl263JKAAAAAlUGZ55S98sorSk9P15gxY7Rs2TLFxcXJzc1NEydOvFX5AAAAKoUy95Rt2LBBgwYN0iuvvGKZVr9+fY0aNUrHjh1Tw4YN7R4QAACgMihzT1lGRkap20907txZZrNZv/32m12DAQAAVCZllrKioqJSt7m4/Do/P99+qQAAACqZa159mZ6erp07d1penzt3TtIfjw7x9PQstXxwcLAN4wEAAFQO1yxll+8d9ld/Pdn/8jMpz5w5Y7t0AAAAlUSZpSw+Pv5W5QAAAKjUyixlgwcPvlU5AAAAKjWrn30JAAAA+6GUAQAAOAFKGQAAgBOglAEAADgBShkAAIAToJQBAAA4AUoZAACAE6CUAQAAOAFKGQAAgBOglAEAADgBShkAAIAToJQBAAA4AUoZAACAE6CUAQAAOAFKGQAAgBOglAEAADgBShkAAIAToJQBAAA4AUoZAACAE6CUAQAAOAFKGQAAgBOglAEAADiBclHKFi5cqLZt28rb21tdu3bVN9984+hIAAAANuX0pSwpKUmTJ0/Ws88+q02bNqlTp07q37+/jh496uhoAAAANuP0pSw+Pl6DBw/W8OHD1bJlS82cOVPe3t764IMPHB0NAADAZpy6lBUUFGjXrl3q1q1biendunXTtm3bHJQKAADA9qo6OkBZTp8+raKiIplMphLTTSaTMjMzr/ietLS0m1qnyctTt9/xwk2NUZ7lXyySm7uLTcesVb+tlnUOs+mYsI+AgABHR6hw7LFNi6s3U75ptM3HtYcLv1fX0aM3/v9lvpOoTJy6lF1mGEaJ12azudS0y5zxDzgtLc0pc/3V5s3H9fjj67V06YPq0sXH0XHKZO02dbm0WR5nH1denaUqqt7lFiQr38rLd7U8scs2Naqo2M3PtmPaiZubFFDT0SmA8sGpD1/WrVtXLi4upfaKZWVlldp7hps3Y8b3yskpUFzc946OYjPVc2fIMOeoem6co6MAAFAmpy5lrq6uat++vZKTk0tMT05OVkhIiINSVUybNx9XamqWJCk19bS2bj3u4EQ3z+XSZrn8nvrHf/+eKpdLWx2cCACAq3PqUiZJY8eO1dKlS7V48WLt379fkyZN0smTJzVixAhHR6tQ/thL9rskVZi9ZdVzZ6iKOUeSVIW9ZQAAJ+f055T16dNHZ86c0cyZM5WRkaHWrVsrMTFRvr6+jo5WYfx5L9lll/eWOfu5ZVfz571klmn/t7eMc8sAAM7I6feUSdKoUaOUmpqqzMxMff311+rShX9UbenPe8kuK+97y/68l+wy9pYBAJxZuShlsJ8r7SW7rLyeW3alvWSWeZxbBgBwUk5/+BL29csv2QoNvf2Ktxgxm83aty+73B3CrFL4i4pcQ1WkK902xawqhfs4hAkAcDqUskpu5MhAjRwZ6OgYNvW7x0j97jHS0TEAALguHL4EAABwApQyAAAAJ0ApAwAAcAKUMgAAACdAKQMAAHAClDIAAAAnQCkDAABwApQyAAAAJ0ApAwAAcAKUMgAAACdgZGdnmx0dAgAAoLJjTxkAAIAToJQBAAA4AUoZAACAE6CUAQAAOAFKGQAAgBOglNnBG2+8ofvvv1+NGzeWn5+fIiIitGfPHkfHqlBmz54tLy8vxcTEODpKuXfy5Ek99dRT8vPzk7e3t0JCQrRlyxZHxyrXioqK9Morr6ht27by9vZW27Zt9corr6iwsNDR0QA4saqODlARbdmyRSNHjtQdd9whs9msf/zjH3r00Ue1bds21alTx9Hxyr0dO3Zo0aJFatOmjaOjlHvZ2dnq2bOnOnfurMTERNWtW1eHDx+WyWRydLRybc6cOVq4cKESEhIUGBion3/+WVFRUXJ1ddXEiRMdHQ+Ak6KU2UFSUlKJ1wsWLJCvr69SUlL08MMPOyhVxZCTk6PIyEjNmzdPr7/+uqPjlHtvvfWWGjRooAULFlimNW3a1HGBKojt27froYcesvy9N2nSRA8//LB27tzp4GQAnBmHL2+B3NxcFRcXy8vLy9FRyr3o6GiFh4era9eujo5SIaxZs0bBwcEaMWKE/P39dffdd+vdd9+V2cw9pW9G586dtWXLFv3yyy+SpH379mnz5s168MEHHZwMgDNjT9ktMHnyZAUFBalTp06OjlKuLVq0SAcPHiyxVwc3Jz09Xe+//77GjBmj6OhopaamatKkSZKkJ5980sHpyq/o6Gjl5uYqJCRELi4uKiws1IQJEzRq1ChHRwPgxChldvbcc88pJSVF69atk4uLi6PjlFtpaWmaNm2a1q5dK1dXV0fHqTCKi4vVoUMHvfjii5Kkdu3a6eDBg1q4cCGl7CYkJSXp3//+txYuXKhWrVopNTVVkydPlq+vr4YNG+boeACcFKXMjmJjY5WUlKTPPvuM83Ru0vbt23X69GndddddlmlFRUX65ptv9MEHH+j48eOqXr26AxOWT97e3mrZsmWJaS1atNBvv/3moEQVw9SpU/X000+rb9++kqQ2bdro6NGjevPNNyllAK6KUmYnkyZNUlJSklavXq0WLVo4Ok65FxYWpg4dOpSYNnbsWPn5+Wn8+PHsPbtBnTt31oEDB0pMO3DggBo3buygRBXDhQsXSu0Zd3FxUXFxsYMSASgPKGV2MGHCBC1btkxLliyRl5eXMjIyJEkeHh7y9PR0cLryycvLq9SFEjVq1FCdOnUUGBjooFTl35gxY9SjRw/NmjVLffr00e7du/Xuu+/qhRdecHS0cu2hhx7SnDlz1KRJE7Vq1Uq7d+9WfHy8Bg4c6OhoAJyYkZ2dzWVWNna1qywnTZqk2NjYW5ym4goLC1NgYKBmzpzp6Cjl2hdffKFp06bpwIEDatSokSIjIzV69GgZhuHoaOXW+fPn9eqrr2r16tXKysqSt7e3+vbtq4kTJ8rNzc3R8QA4KUoZAACAE+A+ZQAAAE6AUgYAAOAEKGUAAABOgFIGAADgBChlAAAAToBSBgAA4AQoZQAAAE6AUgYAAOAEKGUAAABO4P8BT/nIBc9oamMAAAAASUVORK5CYII=\n",
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",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]
@@ -518,7 +521,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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viMViuLm5QS6Xq2wnPT0dUqkUNjY2kEql2LNnj9J4TEwMLC0tlX6GDh2q8/yIiEiYtL6JaNy4cSp34YpEIlhaWuKJJ57AzJkzYWlpqdPOU1NTERUVhbfffhtjxoxBYmIiAgMDcfz4cbXPk966dQv+/v546qmncPDgQZSUlCAsLAzdu3fHK6+8AgAoLS3F7NmzMX/+fGzbtg3Hjx/HihUrYGVlBT8/PwBAbm4uFi5ciFWrVmHatGnYs2cPFixYgK+++gqjRo1S7M/R0RF79+5V/P7wu3+JiKjr0rqBymSydt/51q1bMW/ePAQFBQEA4uLicODAAcjlcqxdu1YlfteuXbh79y5kMhksLCwwfPhwFBcXIyEhAeHh4RCJRNixYwckEgni4uIAAE5OTsjPz8eWLVsUDVQmk2HChAmIiIhQxGRnZ0Mmk2H79u2K/ZmamkIsFrf7vImIqPMz2Kv86uvrUVBQAG9vb6Xl3t7eyMnJUbtObm4uxo4dCwsLC8UyHx8fXLt2DZcuXVLEPLxNHx8fnDx5Evfv3wcA5OXlqY15eL+lpaVwdnaGq6srFi5ciNLSUr3mSkREwqP1GWh7q6qqQmNjI6ytrZWWW1tbo6KiQu06FRUVsLOzU4lvGXNwcEBFRQUmTpyoEtPQ0ICqqipIJBKUl5e3ud9Ro0YhISEBjo6OqKysRFxcHCZPnozjx4+jb9++rc6rpKSkzbnrE2tIt2vrUVtb2+r4w2MNjQ0a49Xv47ZR/D2MIYf2IJR5AJyLMRLKPADNc3F0dNS4rsEaaIuHP1dtbm7W+MpAdfEPL9c35rfLnn32WaXxUaNGwd3dHcnJyQgPD281v7b+4C1KSkq0jjW0M8WX0KNHD7VjtbW1KmOmJqatxremZ4+ecHQcqHeO7aEz1UQTocwD4FyMkVDmAfz+uRjsEq6VlRVMTExUzjYrKytVzg5b2NjYqI0Hfj0TbS3G1NRUceYoFot12i/w4GURw4YNw4ULF7SYHRERCZ3BGqiZmRnc3d2RmZmptDwzMxNSqVTtOp6enjh27Bjq6uqU4m1tbTFw4EBFzKFDh1S26eHhgW7dugEARo8erdN+AaCurg4lJSW8qYiIiABo2UDr6uoQGxuLgwcPtuvOw8LCkJycjKSkJBQVFSEyMhJlZWUIDg4GAERHR2P69OmK+FmzZsHCwgKhoaEoLCxERkYGNm3ahNDQUMXl1+DgYFy9ehVRUVEoKipCUlKSymXXJUuWICsrC/Hx8SguLkZ8fDyys7OxdOlSRcw//vEPHD58GKWlpcjPz0dQUBDu3LmDuXPntuvfgIiIOietPgM1NzfHO++8g40bN7brzgMCAlBdXY24uDiUl5fD2dkZKSkpsLe3BwCUlZXh4sWLivjevXsjLS0NERERmDRpEiwtLREWFqbUHB0cHJCSkoLVq1dDLpdDIpEgNjZW8QgLAEilUsjlcqxfvx4xMTEYNGgQ5HK50jOgV69eRUhICKqqqtCvXz+MGjUK33zzjSI3IiLq2rS+iWjEiBEd8vlfSEhIq1+Dpu7ZUxcXF+zbt0/jNsePH4+srCyNMX5+fkpN9WHq3l5ERETUQuvPQNesWYOkpCR89dVXHZkPERFRp6D1Geh7770HS0tLzJ07F3Z2dnBwcFB6oQHw4NGQlJSUdk+SiIjI2GjdQM+ePQuRSITHH38cAPDTTz+pxGh6fpOIiEhItG6gp0+f7sg8iIiIOhWDPQdKRETUmenUQBsbG5GSkoLw8HDMmTMHP/74IwCgpqYGaWlpKCsr65AkiYiIjI3WDfTmzZuYPHkyFi9ejPT0dHzzzTeoqqoCADz22GN4/fXXsW3btg5LlIiIyJho/RlodHQ0zp49i127dsHDwwNDhgxRjJmYmGDatGn45ptvsGbNmg5JlIRNJHrw0npd9OvTC2LrPh2UERGRZlo30C+++AIvv/wynnnmGVRXV6uMDx48GP/973/bNTnqOm7+cgeb5Gk6rbPmb/PZQInIYLS+hFtTU4NBgwa1Ot7c3Iz6+vp2SYqIiMjYad1A7e3tUVhY2Or4kSNHlC7rEhERCZnWl3ADAwOxadMmTJs2Dc7OzgB+fXHCBx98gL179+Jf//pXx2TZRZRfv4HKG7e0judngEREhqN1A3311VeRn5+P6dOnY8iQIRCJRIiKikJ1dTXKy8sxdepULF68uCNzFbzKG7ew7r1PtI7nZ4BERIajdQPt1q0bUlJSsGvXLnz++ecQiURoaGiAm5sbAgICMHv2bL7KrxPQ9SwXAO7xs20iIhVaN9AWgYGBCAwM7Ihc6A+g61kuAPx9oX8HZUNE1Hnp3EAB4Mcff8Tly5cBAAMGDICLiwvPPomIqEvRqYHu3r0ba9euxdWrV9Hc3AzgwY1EdnZ2WLt2Lc9MiYioy9C6gX7yyScIDw+Ho6MjoqOjMWTIEDQ3N+P8+fNISkrC4sWLUV9fj/nz53dkvkREREZB6wYaHx+PkSNHYu/evTA3N1caW7RoEXx9fREfH88GSkREXYLWL1L4+eefERgYqNI8AcDc3Bxz5szB1atXdU4gMTERrq6uEIvF8PLywtGjRzXGnzlzBr6+vpBIJHB2dkZsbKzicnKLw4cPw8vLC2KxGG5ubpDL5SrbSU9Ph1QqhY2NDaRSKfbs2dPqPt9++21YWlritdde03l+REQkTFo30GHDhuHatWutjl+9ehVOTk467Tw1NRVRUVFYsWIFsrKy4OnpicDAQMUNSg+7desW/P39YWNjg4MHD2LDhg3YvHkztmzZoogpLS3F7Nmz4enpiaysLCxfvhwrV65Eenq6IiY3NxcLFy5EYGAgsrOzERgYiAULFiA/P19ln3l5edi5cydcXFx0mhsREQmb1g103bp12LlzJ9LSVF/4vXv3biQlJeHNN9/Uaedbt27FvHnzEBQUBCcnJ8TFxUEsFqs9YwSAXbt24e7du5DJZBg+fDj8/PywbNkyJCQkKM5Cd+zYAYlEgri4ODg5OSEoKAhz585VarIymQwTJkxAREQEnJycEBERgfHjx0Mmkynt7+bNm1i0aBE2b94MS0tLneZGRETCpnUD3bx5M6ysrPDSSy/ByckJzz33HJ5//nk4OTlh0aJF6NevH9577z3Fc6KBgYGYPXt2q9urr69HQUEBvL29lZZ7e3sjJydH7Tq5ubkYO3YsLCwsFMt8fHxw7do1XLp0SRHz8DZ9fHxw8uRJ3L9/H8CDs0p1MQ/v9+9//zv8/Pzg5eXVxl+HiIi6Gq1vIjp79ixEIhEef/xxAFB83vnoo4/i8ccfx71791BUVKS0jqZnQ6uqqtDY2Ahra2ul5dbW1qioqFC7TkVFBezs7FTiW8YcHBxQUVGBiRMnqsQ0NDSgqqoKEokE5eXlbe53586duHDhAj744INW56BOSUmJ3rG3a+tRW1ur9fq3a2/rtD999gEADY0NGtd5eKyteH32oY4+829Le2/PUIQyD4BzMUZCmQegeS6Ojo4a19W6gZ4+fVr7jHTwcJNtbm7W2HjVxT+8XN+YlmUlJSVYt24d9u3bBzMzM22nAqDtP3iLkpISldgzxZfQo0cPrffVs0dPODoO1Ck/XfcBAKYmpq2uU1tbqzKmKV6ffbRGn/lroq4mnZFQ5gFwLsZIKPMAfv9c9HoTUXuwsrKCiYmJytlmZWWlytlhCxsbG7XxwK9noq3FmJqaom/fvgAAsViscb+5ubmoqqrC2LFjFeONjY04evQo5HI5rl69ikcffVTXKRMRkYBo/RloezMzM4O7uzsyMzOVlmdmZkIqlapdx9PTE8eOHUNdXZ1SvK2tLQYOHKiIOXTokMo2PTw80K1bNwDA6NGjNe536tSpOHr0KLKzsxU/Hh4emDlzJrKzs3U+KyUiIuExWAMFgLCwMCQnJyMpKQlFRUWIjIxEWVkZgoODAQDR0dGYPn26In7WrFmwsLBAaGgoCgsLkZGRgU2bNiE0NFRx+TU4OBhXr15FVFQUioqKkJSUhOTkZISHhyu2s2TJEmRlZSE+Ph7FxcWIj49HdnY2li5dCgCwtLTE8OHDlX66d++OPn36YPjw4XzvLxERGe4SLgAEBASguroacXFxKC8vh7OzM1JSUmBvbw8AKCsrw8WLFxXxvXv3RlpaGiIiIjBp0iRYWloiLCxMqTk6ODggJSUFq1evhlwuh0QiQWxsLPz8/BQxUqkUcrkc69evR0xMDAYNGgS5XI5Ro0b9cZMnIqJOzaANFABCQkIQEhKiduzh5zIBwMXFBfv27dO4zfHjxyMrK0tjjJ+fn1JTbcsXX3yhdSwREQmfQS/hEhERdVZan4G6ubkhJiYGvr6+asf379+PyMhI/PDDD+2WHGkmEj14LEUX9+rrOygbIqKuResG+tNPP7X5MH1r77CljnHzlzvYJFd9taImf1/o30HZEBF1LTpdwtV09+m5c+fw2GOP/e6EiIiIOgONZ6DJycn49NNPFb//+9//xs6dO1XiampqUFhYiClTprR/hkSt0PUSdr8+vSC27tOBGRFRV6KxgdbW1qK8vFzx+82bN9HU1KQUIxKJ0L17dwQFBSEqKqpjsiRSQ9dL2Gv+Np8NlIjajcYGumjRIixatAgA4Orqig0bNrR6ExEREVFXovVNRKdOnerIPIiIiDoVnV+k8Msvv+DKlSu4ceOG4ltOfmvcuHHtkhgREZEx07qB3rhxA5GRkUhLS0NjY6PKeMvXgVVXV7drgkRERMZI6wb66quvYu/evVi0aBHGjRsHS0vLjsyLiIjIqGndQL/99lssXrwYb731VkfmQ0RE1Clo/SIFMzMzDB48uCNzISIi6jS0bqB+fn745ptvOjIXIiKiTkPrBvrKK6+grKwMS5YsQV5eHsrKynD9+nWVHyIioq5A689AR44cCZFIhIKCAqSkpLQax7twiYioK9C6ga5cuVLjy+SJiIi6Eq0b6KpVqzoyDyIiok5Fp68za9HY2Ijq6mo0NDT87gQSExPh6uoKsVgMLy8vHD16VGP8mTNn4OvrC4lEAmdnZ8TGxqq8Eenw4cPw8vKCWCyGm5sb5HK5ynbS09MhlUphY2MDqVSKPXv2KI1/+OGHeOqppzBgwAAMGDAAzz77LL766qvfPV8iIhIGnRro999/jxkzZsDOzg5DhgzBkSNHAABVVVWYPXs2vvvuO512npqaiqioKKxYsQJZWVnw9PREYGBgq1/MfevWLfj7+8PGxgYHDx7Ehg0bsHnzZmzZskURU1paitmzZ8PT0xNZWVlYvnw5Vq5cifT0dEVMbm4uFi5ciMDAQGRnZyMwMBALFixAfn6+IsbOzg7R0dH47rvvkJmZiaeffhrz58/Hjz/+qNMciYhImLRuoLm5ufD19cXFixfx4osvKp31WVlZ4fbt2/joo4902vnWrVsxb948BAUFwcnJCXFxcRCLxWrPGAFg165duHv3LmQyGYYPHw4/Pz8sW7YMCQkJinx27NgBiUSCuLg4ODk5ISgoCHPnzlVqsjKZDBMmTEBERAScnJwQERGB8ePHQyaTKWKmTp2KZ599Fk888QSGDBmCN954Az179kReXp5OcyQiImHSuoG++eabGDx4MHJycrBmzRqV8QkTJiidwbWlvr4eBQUF8Pb2Vlru7e2NnJwctevk5uZi7NixsLCwUCzz8fHBtWvXcOnSJUXMw9v08fHByZMncf/+fQBAXl6e2pjW9tvY2Ijdu3ejtrYWnp6eWs+RiIiES+sG+v333+PPf/4zzM3N1d6N279/f6Uv325LVVUVGhsbYW1trbTc2toaFRUVatepqKhQG98ypimmoaEBVVVVAIDy8nKt9nvmzBn0798fNjY2ePXVV/Hxxx/DxcVF6zkSEZFwaX0X7iOPPIJHHmm935aXlyudGWrr4Wbc8q0uusQ/vFzfmIeXOTo6Ijs7Gzdv3kRGRgaWLl2KvXv3Yvjw4a3mV1JS0upYW7G3a+tRW1ur9foNjQ06xXfUOg+PGUteD7tde7vN+uhSP2MmlHkAnIsxEso8AM1zcXR01Liu1g3U3d0d+/fvx+LFi1XG6uvrsWvXLp0ub1pZWcHExETlrK+yslLl7LCFjY2N2njg1zPR1mJMTU3Rt29fAIBYLNZqv2ZmZvGyiI4AACAASURBVHjiiScAAB4eHvj++++RkJCg9Hnqw9r6g7coKSlRiT1TfAk9evTQan0AMDUx1Sm+I9apra1VGTOGvNTp2aMnHB0HtjquriadkVDmAXAuxkgo8wB+/1y0voS7fPlyZGVlITw8HKdPnwYAlJWV4dtvv8X06dNx8eJFrFixQusdm5mZwd3dHZmZmUrLMzMzIZVK1a7j6emJY8eOoa6uTine1tYWAwcOVMQcOnRIZZseHh7o1q0bAGD06NE67bdFU1MT6uvrtZofEREJm9YNdNKkSfjggw/wxRdfwN/fHwCwdOlSBAYG4uzZs0hMTMTo0aN12nlYWBiSk5ORlJSEoqIiREZGoqysDMHBwQCA6OhoTJ8+XRE/a9YsWFhYIDQ0FIWFhcjIyMCmTZsQGhqquPwaHByMq1evIioqCkVFRUhKSkJycjLCw8MV21myZAmysrIQHx+P4uJixMfHIzs7G0uXLlXE/POf/8TRo0dx6dIlnDlzBtHR0Th8+DACAwN1miMREQmT1pdwgQcNzNfXF5mZmTh//jyampowaNAg+Pj4oGfPnjrvPCAgANXV1YiLi0N5eTmcnZ2RkpICe3t7AA/OcC9evKiI7927N9LS0hAREYFJkybB0tISYWFhSs3RwcEBKSkpWL16NeRyOSQSCWJjY+Hn56eIkUqlkMvlWL9+PWJiYjBo0CDI5XKMGjVKEVNeXo6XX34ZFRUV6NWrF1xcXPDZZ5/Bx8dH53kSEZHw6NRAAaB79+6YOnVquyUQEhKCkJAQtWO/fS6zhYuLC/bt26dxm+PHj0dWVpbGGD8/P6Wmqs2+iYiIWmh9CffLL7/Ea6+91ur4a6+9hv3797dLUkRERMZO6wa6efNm3Llzp9Xxuro6vPvuu+2SFBERkbHTuoEWFhbC3d291XE3NzecPXu2XZIiIiIydlo30IaGBty9e7fV8bt37+LevXvtkhQREZGx07qBDh8+HBkZGWhqalIZa2pqQkZGBoYNG9auyRERERkrrRvokiVLcOLECcydOxcFBQW4d+8e7t27h4KCAsybNw8nTpxQ+5YiIiIiIdL6MZaZM2fi4sWLiImJwTfffAPgwftkW94hGxkZiTlz5nRYokRERMZEp+dAIyIiMGvWLOzZswelpaVobm7GoEGDMG3aNDg4OHRQikRERMZHqwZ67949pKamYujQoRg5ciReeeWVjs6LiIjIqGn1Geijjz6KZcuWKV4iT0RE1NVpfQnX0dFRpy/MJjI2ItGDr4xrze3aepXxfn16QWzdp6NTI6JOSOsGunLlSqxYsQIvvPACXFxcOjInog5x85c72CRPa3Vc3XebrvnbfDZQIlJL6waalZUFa2trPP300/D09MSgQYNgYWGhFCMSifDvf/+73ZMkIiIyNlo3ULlcrvj/x48fx/Hjx1Vi2ECJiKir0LqB3rhxoyPzICIi6lS0fhMRERER/UrnL9Q+fvw4srKycP36dSxevBhDhgxBbW0tzp49C0dHR/Tq1asj8iQiIjIqWjfQ+vp6LFy4EF9++aXi9X0vvPAChgwZAhMTE8yaNQthYWGIiIjoyHyJiIiMgtaXcGNiYvDVV18hLi4OeXl5aG5uVoyZm5tjxowZ2LdvX4ckSUREZGy0bqC7du3CggUL8NJLL6Fv374q446OjigtLdU5gcTERLi6ukIsFsPLywtHjx7VGH/mzBn4+vpCIpHA2dkZsbGxSs0cAA4fPgwvLy+IxWK4ubkp3UHcIj09HVKpFDY2NpBKpdizZ4/SeHx8PCZNmoQBAwZg8ODBmDNnDgoLC3WeHxERCZPWDfT69esYMWJEq+OPPvooamtrddp5amoqoqKisGLFCmRlZcHT0xOBgYG4fPmy2vhbt27B398fNjY2OHjwIDZs2IDNmzdjy5YtipjS0lLMnj0bnp6eyMrKwvLly7Fy5Uqkp6crYnJzc7Fw4UIEBgYiOzsbgYGBWLBgAfLz8xUxhw8fxksvvYSvvvoKGRkZMDU1xYwZM3g3MhERAdDhM1CxWKzxDPPEiRMYOHCgTjvfunUr5s2bh6CgIABAXFwcDhw4ALlcjrVr16rE79q1C3fv3oVMJoOFhQWGDx+O4uJiJCQkIDw8HCKRCDt27IBEIkFcXBwAwMnJCfn5+diyZQv8/PwAADKZDBMmTFB8Xuvk5ITs7GzIZDJs374dwIPm/lsffPAB7O3tcfz4cTz//PM6zZOIiIRH6zPQ6dOnY8eOHTh37pximUgkAgDs27cPu3btQkBAgNY7rq+vR0FBAby9vZWWe3t7IycnR+06ubm5GDt2rNIbkHx8fHDt2jVcunRJEfPwNn18fHDy5Encv38fAJCXl6c2prX9AsDt27fR1NQES0tLredIRETCpfUZaGRkJLKysuDl5QWpVAqRSIT4+HisW7cO33//PUaOHIlly5ZpveOqqio0NjbC2tpaabm1tTUqKirUrlNRUQE7OzuV+JYxBwcHVFRUYOLEiSoxDQ0NqKqqgkQiQXl5uU77BYCoqCiMGDECnp6eGudVUlKicVxT7O3aep0ugzc0Nuh82bwj1nl4zFjy0if+4fHbtbd1qqmx6Iw5t4ZzMT5CmQegeS6Ojo4a19W6gT722GP4+uuvsXXrVnz++ecwNzfH8ePHMWjQIKxatQqvvPIKzM3Ntc/6/2s5i23R8oiMLvEPL9c3prX9rl69GsePH8f+/fthYmLSam5A23/wFiUlJSqxZ4ovqbzMXBNTE1Od4jtiHXUvYDeGvPSJVzeXnj16wtFRt48mDE3dP1udFedifIQyD+D3z0WnFymYm5tjxYoVWLFihd47bGFlZQUTExOVs77KykqVs8MWNjY2auOBX89EW4sxNTVV3D0sFou13u+qVauQmpqKPXv2wMHBQfsJEhGRoLX5Gei9e/eQlpaGd955Bzt37kRZWVm77NjMzAzu7u7IzMxUWp6ZmQmpVKp2HU9PTxw7dgx1dXVK8ba2toobmDw9PXHo0CGVbXp4eKBbt24AgNGjR2u138jISHz22WfIyMjA0KFD9ZonEREJk8Yz0PLycvj6+uLixYuKy6Ddu3dHSkoKxo0b97t3HhYWhsWLF2PkyJGQSqWQy+UoKytDcHAwACA6OhonTpxARkYGAGDWrFmIjY1FaGgoIiIicO7cOWzatAkrV65UXH4NDg7Ghx9+iKioKAQHByMnJwfJyclITExU7HfJkiXw9fVFfHw8XnjhBezduxfZ2dnYv3+/IiYiIgL//e9/8fHHH8PS0lLxZeI9evRAz549f/fciYioc9PYQNevX4/S0lKEhobi6aefxoULFxAXF4eVK1fiyJEjv3vnAQEBqK6uRlxcHMrLy+Hs7IyUlBTY29sDAMrKynDx4kVFfO/evZGWloaIiAhMmjQJlpaWCAsLQ3h4uCLGwcEBKSkpWL16NeRyOSQSCWJjYxWPsABQNOv169cjJiYGgwYNglwux6hRoxQxLQ33t+sBD85KV61a9bvnTkREnZvGBnrw4EHMnTsX69evVyyzsbFBSEgIfv75Z/Tv3/93JxASEoKQkBC1YzKZTGWZi4tLm68MHD9+PLKysjTG+Pn5qTTH36qpqdG4PhERdW0aPwMtLy9X+VxwzJgxaG5uxpUrVzo0MSIiImOmsYE2NjaqPJrS8vtvb+QhIiLqatp8jKW0tBQnTpxQ/H7r1i0AD56fUXczzciRI9sxPSIiIuPUZgONiYlBTEyMyvKVK1cq/d7yIoLq6ur2y46IiMhIaWygW7du/aPyICIi6lQ0NtB58+b9UXkQERF1Klp/GwsRERH9ig2UiIhID2ygREREemADJSIi0gMbKBERkR7YQImIiPTABkpERKQHNlAiIiI9tPkqP6KuTCQCzhRf0mmdfn16QWzdp4MyIiJjwQZKpMHNX+5gkzxNp3XW/G0+GyhRF8BLuERERHpgAyUiItIDGygREZEeDN5AExMT4erqCrFYDC8vLxw9elRj/JkzZ+Dr6wuJRAJnZ2fExsaiublZKebw4cPw8vKCWCyGm5sb5HK5ynbS09MhlUphY2MDqVSKPXv2KI0fOXIEL774IpydnWFpaYlPPvnk90+WiIgEw6ANNDU1FVFRUVixYgWysrLg6emJwMBAXL58WW38rVu34O/vDxsbGxw8eBAbNmzA5s2bsWXLFkVMaWkpZs+eDU9PT2RlZWH58uVYuXIl0tPTFTG5ublYuHAhAgMDkZ2djcDAQCxYsAD5+fmKmNraWgwfPhwbNmyAhYVFx/0RiIioUzLoXbhbt27FvHnzEBQUBACIi4vDgQMHIJfLsXbtWpX4Xbt24e7du5DJZLCwsMDw4cNRXFyMhIQEhIeHQyQSYceOHZBIJIiLiwMAODk5IT8/H1u2bIGfnx8AQCaTYcKECYiIiFDEZGdnQyaTYfv27QCAyZMnY/LkyQCA0NDQDv9bEBFR52KwM9D6+noUFBTA29tbabm3tzdycnLUrpObm4uxY8cqnRH6+Pjg2rVruHTpkiLm4W36+Pjg5MmTuH//PgAgLy9PbUxr+yUiInqYwc5Aq6qq0NjYCGtra6Xl1tbWqKioULtORUUF7OzsVOJbxhwcHFBRUYGJEyeqxDQ0NKCqqgoSiQTl5eU67VcXJSUlesferq1HbW2t1us3NDboFN9R6zw8Zix56RPfHnO5XXtbp38OOoKh99+eOBfjI5R5AJrn4ujoqHFdg79IQSQSKf3e3Nyssqyt+IeX6xujab/aausP3qKkpEQl9kzxJfTo0UPrfZmamOoU3xHr1NbWqowZQ176xLfXXHr26AlHx4E6rdOe1P2z1VlxLsZHKPMAfv9cDHYJ18rKCiYmJipnfZWVlSpnhy1sbGzUxgO/nom2FmNqaoq+ffsCAMRisU77JSIiepjBGqiZmRnc3d2RmZmptDwzMxNSqVTtOp6enjh27Bjq6uqU4m1tbTFw4EBFzKFDh1S26eHhgW7dugEARo8erdN+iYiIHmbQx1jCwsKQnJyMpKQkFBUVITIyEmVlZQgODgYAREdHY/r06Yr4WbNmwcLCAqGhoSgsLERGRgY2bdqE0NBQxeXX4OBgXL16FVFRUSgqKkJSUhKSk5MRHh6u2M6SJUuQlZWF+Ph4FBcXIz4+HtnZ2Vi6dKki5vbt2zh16hROnTqFpqYmXLlyBadOnWr1ERsiIupaDPoZaEBAAKqrqxEXF4fy8nI4OzsjJSUF9vb2AICysjJcvHhREd+7d2+kpaUhIiICkyZNgqWlJcLCwpSao4ODA1JSUrB69WrI5XJIJBLExsYqHmEBAKlUCrlcjvXr1yMmJgaDBg2CXC7HqFGjFDEnT57EtGnTFL/HxMQgJiYGc+fOhUwm68g/CxERdQIGv4koJCQEISEhasfUNSoXFxfs27dP4zbHjx+PrKwsjTF+fn5KTfVhEyZMQE1NjcZtEBFR12XwBkokNLp+hyi/P5Soc2IDJWpnun6HKL8/lKhzMvjL5ImIiDojNlAiIiI9sIESERHpgQ2UiIhID2ygREREemADJSIi0gMbKBERkR7YQImIiPTABkpERKQHvomIyMB0ffUfwNf/ERkDNlAiA9P11X8AX/9HZAx4CZeIiEgPbKBERER6YAMlIiLSAxsoERGRHthAiYiI9MAGSkREpAc+xtKGxMREvPfeeygvL8ewYcMQExODp556ytBpURen6dnR27X1asf47ChR+2ID1SA1NRVRUVF4++23MWbMGCQmJiIwMBDHjx/HgAEDDJ0edWGanh2tra1Fjx49VJbz2VGi9sUGqsHWrVsxb948BAUFAQDi4uJw4MAByOVyrF271sDZEelG1zce8YyVSDNRTU1Ns6GTMEb19fWwtbXF9u3bMWPGDMXyiIgIFBYW4ssvvzRgdkREZGi8iagVVVVVaGxshLW1tdJya2trVFRUGCgrIiIyFmygbRCJREq/Nzc3qywjIqKuhw20FVZWVjAxMVE526ysrFQ5KyUioq6HDbQVZmZmcHd3R2ZmptLyzMxMSKVSA2VFRETGgnfhahAWFobFixdj5MiRkEqlkMvlKCsrQ3BwsKFTIyIiA2MD1SAgIADV1dWIi4tDeXk5nJ2dkZKSAnt7e0OnRkREBsbHWDrYzz//DLlcjpycHFRUVEAkEsHa2hpjxozBggUL8Pjjjxs6xS7tp59+UqoL/+PI8FgT48OaqMcG2oGOHTuGwMBAiMVieHt7w9raGs3NzaisrERmZibKy8uxa9cujBkzxtCp6qyzH1Bbt25FQkICrl27hubmB4eASCSCra0twsLCEBoaauAMddPZ6wEIryZA568La6IZL+F2oFWrVmHevHnYuHGj2vHIyEisWrVK5UYlYyaEA2rjxo3YvHkzli1bBh8fH6X/sDl48CA2bNiA2tpavPbaa4ZOtU1CqAcgrJoAwqgLa9I2noF2IIlEguzsbDg6OqodLy4uxtNPP42ysrI/ODP9tHVAvfvuu3jllVeM/oBycXHBhg0bMG3aNLXjGRkZiIyMxP/+978/ODPdCKUegHBqAginLqxJ23gG2oHEYjGOHz/eagM9fvw4xGLxH5yV/nbu3ImEhASVA2rAgAHw8PCAo6MjIiMjjf5fDNXV1Rg6dGir446OjqipqfkDM9KPUOoBCKcmgHDqwpq0jc+BdqBXXnkFy5cvx6uvvor09HQcO3YMx48fR3p6Ol599VW89tprWLZsmaHT1JpQDqgnn3wSGzduRH19vcpYfX093n77bTz55JMGyEw3QqkHIJyaAMKpC2vSNl7C7WCpqalISEhAQUEBGhsbAQAmJiZwd3dHWFgY/P39DZyh9qZOnQqJRAKZTAYzMzOlsfr6eoSGhuLatWv44osvDJShdgoLC+Hv74+7d+9i7NixsLGxgUgkQnl5OY4dO4bu3bsjLS0Nzs7Ohk5VI6HUAxBOTQDh1IU1aRsb6B/k/v37qKqqAvDgNYHdunUzcEa6E9IB9csvvyAlJQV5eXmK1zXa2NjA09MTs2bNQq9evQycYduEVA9AGDUBhFUX1kQzNlDSiVAOKKFgPYwT62J8OqImbKDUZd2+fRsFBQWKZ8JsbGzg5uaGnj17Gjq1Los1MT6sSet4Fy7prLMfUA0NDXj99deRlJSEuro6mJiYAAAaGxthbm6OoKAgvPnmm53mMntnrwcgvJoAnb8urEnb2EBJa0I5oF5//XVkZGTg3XffhY+PD6ysrAA8+BL1gwcPYu3atQCADRs2GDLNNgmlHoBwagIIpy6sSdt4CZe0FhkZiYyMDERHR7d6QE2fPt3oD6jBgwdDLpfDy8tL7fihQ4fw0ksv4fz5839wZroRSj0A4dQEEE5dWJO2sYGS1oRyQPXv3x/79+/HiBEj1I6fOnUKzz//PH7++ec/ODPdCKUegHBqAginLqxJ2/giBdJaXV0d+vbt2+p43759UVdX9wdmpJ/x48dj9erVuHbtmsrYtWvX8MYbb2DChAkGyEw3QqkHIJyaAMKpC2vSNp6BktbmzJmDO3fuYNu2bbC1tVUau3btGpYsWQILCwv85z//MVCG2rly5Qpmz56NoqIiODk5wdraGiKRCBUVFSgqKsKwYcOQkpKC/v37GzpVjYRSD0A4NQGEUxfWpG1soKQ1IR1QTU1NOHDggNpnwry9vfHII8Z/cUZI9QCEURNAWHVhTTRjAyWdCOWAEgrWwzixLsanI2rCBkpd1vnz55GTk6P05bpSqRSDBw82dGpdFmtifFiT1vE5UNJZZz+gbt68iSVLlmD//v3o0aMH+vXrh+bmZlRVVeHOnTt47rnn8P7773ea16119noAwqsJ0Pnrwpq0jWegpDWhHFCLFy/GqVOn8M4772DMmDFKYzk5OXj11Vfh6uqK999/30AZakco9QCEUxNAOHVhTdrGBkpaE8oBZW9vj9TUVIwaNUrteG5uLmbNmoWffvrpD85MN0KpByCcmgDCqQtr0jZewiWt7du3r9UDSiqVYtOmTZg1a5YBMmtfneUGj65SD6Dz1AToOnVhTfgiBWpHneWAeu655/C3v/0NeXl5KmN5eXlYtmwZnn/+eQNk1r46Sz2ArlMToPPUhTXRYr12zoMETCgH1MaNG2FnZ4fJkyfD3t4eHh4eePLJJ2Fvb48pU6bAzs4OsbGxhk6zTUKpByCcmgDCqQtr0jZ+Bkpaq6mpQUhICA4cOIDHHnsMVlZWEIlEqKysxO3bt+Hj44MPP/wQlpaWhk5VK0VFRWqfCRs6dKiBM9OO0OoBdP6aAMKrC2vSOjZQ0pkQDighYT2ME+tifNq7Jmyg1CU1Nzfj0KFDKs+EjRkzBl5eXhCJRIZOscthTYwPa6IZGyjpRAgH1NWrVzFnzhycOXNG8V7M5uZmVFZWoqioCCNGjMCnn34KOzs7Q6faJiHUAxBWTQBh1IU1aRsbKGlNKAfU3Llz8csvv+CDDz5QeXn0zz//jCVLluCxxx5DcnKygTLUjlDqAQinJoBw6sKatI0NlLQmlAOqf//+2LdvH1xdXdWO//DDD/D19TX6LwoWSj0A4dQEEE5dWJO28UUKpLWsrCzs27dP7Vf+9O/fH+vXr4evr68BMtONubk5bty40ep4TU0NzM3N/8CM9COUegDCqQkgnLqwJm3jc6CkNaEcUAEBAVi6dCl2796N6upqxfLq6mrs3r0boaGhneJNMUKpByCcmgDCqQtr0jaegZLWWg6oN998E5MmTULfvn0BPDigMjMzsWbNmk5xQL311ltobGzE0qVL0dDQABMTEwBAY2MjTE1N8Ze//AVvvvmmgbNsm1DqAQinJoBw6sKatI2fgZLW6uvrERUVhY8//rjVAyomJgZmZmYGzlQ7t27dwsmTJ3H9+nUAD54Jc3d3N/pvyWghtHoAnb8mgPDqwpq0jg2UdCaEA0pIWA/jxLoYn/auCRsodUm1tbX47LPP1D4TNnPmTPTo0cPQKXY5rInxYU00YwMlnQjhgDp79iz8/f1x+/ZtPPXUU0rPhB07dgw9e/ZEamoqhg0bZuhU2ySEegDCqgkgjLqwJm1jAyWtCeWAeuGFF2BtbQ2ZTKZy511dXR1CQ0NRUVGBvXv3GihD7QilHoBwagIIpy6sSdvYQElrQjmgbG1tkZmZ2erBUlhYCB8fH1y7du0Pzkw3QqkHIJyaAMKpC2vSNj7GQlo7ceIEMjMz1T4vZW5ujoiICPj4+BggM91YWlri3Llzrf6L4fz5853iq6aEUg9AODUBhFMX1qRtbKCkNaEcUH/9618RGhqKkpISTJo0CdbW1hCJRKioqEBmZibeeecdhIWFGTrNNgmlHoBwagIIpy6sSdvYQElrQjmgVq1aBQsLC7z//vtYt26d4lsYmpubIRaLsWLFCixbtszAWbZNKPUAhFMTQDh1YU3axs9ASSebNm3C+++/j/LycpUDaunSpZ3mgGpRWlqq9OW6Dg4Ohk1IR0KrB6Bck759+2LIkCEGzkh3QqtLZz9OgI6pCRso6UUIB5SQCLUe1tbWOHz4MJycnAydil6EWpfOrD1rwgZK7ebKlSuIiYnB1q1bDZ1Km2pqapCTkwNLS0t4enoqfZlubW0ttmzZgsjISANmqJ3CwkLk5eVBKpVi2LBhOHv2LBISEnDv3j3MmTMH3t7ehk5RKytXrlS7PDExEbNmzVJ8PrVx48Y/Mq12UVNTg+TkZFy4cAESiQQvvvgiHn/8cUOn1aajR4/C2toajo6OAB7UIjExEVeuXMGAAQOwaNEiLFy40MBZamfOnDkICAiAn59fu77Inw2U2s3p06fh5eWl9M0Nxuh///sfZsyYgcrKSjQ1NcHNzQ1JSUmwt7cHAFRUVGDYsGFGP4+vv/4a8+fPR8+ePXHnzh18/PHHWLJkCUaMGIGmpiYcOXIEu3fvxsSJEw2dapv69OmDP/3pT+jdu7fS8iNHjsDDwwPdu3eHSCTCnj17DJSh9oYNG4ajR4+ib9++KC0txXPPPYfGxkYMGzYMJSUluHPnDr799lsMHTrU0KlqNHbsWMTGxuLpp5/Ghx9+iOjoaCxevBhDhw5FSUkJtm3bhjfeeAOLFi0ydKpt6tOnD0QiEXr16oU5c+bgr3/9K1xcXH73dtlASWuffvqpxvGWM1BjbzwvvvgiTE1N8cEHH+CXX35BVFQUcnNzsWfPHgwePLjTNNDJkyfj6aefxj/+8Q/s3r0bK1aswEsvvYQ33ngDABAdHY2CggKkpaUZONO2vf3220hKSsKWLVswYcIExfJ+/frh8OHDRv/Sgd/q06cPiouLYW1tjZdeegnl5eX473//ix49eqCurg5BQUEwNzfHzp07DZ2qRhKJBLm5ubC3t8eECROwdOlSzJs3TzH++eef46233kJeXp4Bs9ROnz598N133+Hrr7/Gxx9/jJ9++glPPvkkgoKCEBAQoPebodhASWt9+vRRnAmo09TUhLq6OqNvPEOGDMGePXvg7OysWLZ69WqkpaVhz5496NWrV6dooPb29jh06BCeeOIJNDU1wcbGBt9++y3c3d0BPLi8O2PGDBQXFxs4U+3k5eXh5Zdfhr+/P15//XWYmJh0+gbq5uaG9957D15eXorx/Px8BAUF4cyZMwbMsm1DhgzBZ599Bnd3dzg6OiI1NRUjRoxQjF+8eBFPPfVUp3iRwm9rAgAHDx7Ezp07sW/fPpibm2PmzJkICgpSHDva4hdqk9ZsbW0hk8lw5coVtT/79+83dIpaqa+vV/mPgH/961+YMWMGpk6diqKiIgNlprtHHnlE8b/m5uZKz7L17NkTt27dMlRqOhs9ejQOHTqEixcv4plnnsG5c+cMnZLeWv75un//vuJf2i2sra1RWVlpiLR08uyzz2Lbtm0AgAkTJuDzzz9XGk9NTcXgwYMNkdrv5u3tjZ07d6KwsBArVqxAdna2XvcL8DlQ0pqbmxtOnTqF6dOnqx0XiURobjb+NJnzTAAADKlJREFUCxpDhgzByZMnVc5qYmJi0NTUhPnz5xsoM90MGDAA58+fV9xF+PXXXyvdnPLzzz/DxsbGQNnpp3fv3tixYwd27tyJ5557Dk1NTYZOSS9Tp06FiYkJbt68iZKSEgwfPlwxduXKFVhZWRkwO+3885//xJQpU/D8889j5MiRSEhIwNGjRxWfgebn5+OTTz4xdJq/S79+/bBs2TIsW7YM2dnZOq/PBkpae+WVV1BbW9vq+BNPPNEpbvJ44YUXsHv3bsydO1dlLDY2Fo2Njdi+fbsBMtNNcHAw6uvrFb//9l/SwIOGOn78+D86rXYRFBSEcePGITc3F3Z2doZORycP373ds2dPpd/379+PsWPH/pEp6UUsFuO7777Du+++iy+//BLNzc04ceIErly5gjFjxuCtt96Ch4eHodPUyoABAxRfot2a3372ri1+BkpERKQHfgZKRESkBzZQIiIiPbCBUpdjaWnZ5s9vb9dvS0NDA2JiYnDkyBG9c3rmmWcwc+ZMrWKvX7+ONWvWQCqVwtbWFra2thg3bhzefPNNXL9+Xe8cuqILFy4gJiYGly9fVhkbOnQoXn31VQNkRZ0FbyKiLuebb75R+v3Pf/4z/vSnPyEqKkqxzMzMTOvtNTQ0IDY2Fqamphg3bly75anOjz/+iJkzZ8LU1BRLliyBq6srmpub8cMPP0Aul6O0tLRT3ABlLC5cuIDY2FhMnDgRAwYMUBpLSUnpFF87RobDBkpdzujRo5V+NzMzg5WVlcpyY3Pv3j38+c9/Ru/evbF//3707dtXMTZx4kQsXboUmZmZBsxQWHR9qJ66Hl7CJWrDxx9/jKeeego2NjYYPHgwQkNDFZdK6+rqIJFIAABvvfWW4hLwO++8AwDIzc3F/PnzMXz4cEgkEowePRr/+te/cO/ePZ3zSE1NRWlpKdatW6fUPFuYmZlhypQpit9ramqwfPlyDB06FNbW1hg9erTiwfgW3377LSwtLfH1118jPDwcAwcOhIODA9asWYOmpibk5OTg2Wefha2tLZ566il89913SusvXLgQHh4eOHz4MLy8vCAWi+Hm5oYdO3ao5HfhwgUsXLgQTzzxBMRiMby8vPDVV18pxfzzn/+ElZUVzp8/j4CAANjZ2cHV1RXx8fFKzxjfvHkTK1asgIuLC2xsbODo6Ah/f39cuHBBEbN161Y888wzGDhwIAYOHIgpU6bg4MGDSnOfNWsWAOD5559X1K7l1XTqLuEeP34cL7zwAuzs7NC/f3/4+/ujoKBA7d/k+++/x+TJk2Fra4uRI0fio48+UvmbUOfGM1AiDd5//31ERUVh9uzZiI6OxpUrV7Bu3Tp8//33yMzMhLm5Ob744gtMnToVwcHBineFtrzQoOWdm3/5y1/Qo0cPFBYWYuPGjbh8+TJkMplOuRw6dAiPPvqoVm9MaWhowMyZM1FUVITXX38dQ4cOxZdffomVK1fixo0bKs8qRkREwN/fH//3f//3/9q705Ao1zaA439bRrTUxkzDthG1RFqwIFrIpkbtoBI2VlQoWEEOUpEttEjb1NBkTFnS8qHSrD6oCdpKGVpU9qHFaF+gJDVSMA2jRRvnfBCft8fRlnk78Pae6wcDes+z3g5ecy/PdXPlyhX27t1LS0sLZWVlrFixAn9/f6xWK8nJydy/f1/Vtfnu3TtSU1NZuXIlw4YNIz8/n/T0dLy9vZVx3aqqKgwGA4MGDWLnzp34+vqSn5/P/PnzKSwsxGAwKMdzOBwkJyeTlJTE8uXLOXPmDGazmaFDhyoBb82aNVy7do2MjAyCgoJoaGigoqJClXmpurqalJQUhgwZQmtrK2fPniUxMZGSkhIiIyOVLzMbNmwgKytLSS7+bYrHb1VWVjJz5kxGjRrFwYMHcTgc2Gw24uLiKCsrUy259u7dO0wmE0uXLmXw4MHk5uaybNkyRowYwfjx43/49xN/BgmgQnSjpaWFnTt3YjAYVC23oKAgEhISyM/PJyUlhXHjxgEQGBjo1A3c8Q8f2gPDxIkT8fDwID09nczMTLy8vH76emprawkICPip8dlz585x584djhw5ogQxg8FAc3MzWVlZmEwm1con0dHRbN26FYBp06Zx8eJFDh06RHl5ufKwvFarxWAwUFZWhtFoVPZ9//49+/fvJz4+HmifEFVTU4PFYlHObbFYcHd359y5c8p5DQYD1dXV7NixQxVA29raWLlypVJ3U6dO5cqVK5w6dUopu3XrFvPnzycpKUnZr3OGLKvVqjqmXq/n2bNn5OTkEBkZiY+Pj7IiyogRI37YhW+1WvHy8qKkpERJjjB16lRGjx7Nrl27OHz4sKpOCgsLlWA5YcIE5R4kgP7/kC5cIbrx+PFjGhsbmTt3rqpcr9fj7+//U7Num5qayMjIYMyYMfj7++Pn58fy5cux2+28evXqn7p0bty4gUajISEhQVU+d+5cPn36xN27d1XlUVFRqt9DQkLQarWqTDMd60LW1taqtnV3dyc2NlZVZjQaefnyJQ0NDUB7d+lff/1Fnz59+Pr1q/KaPn06d+/e5fPnz6r9Y2JilJ/d3NwICwujpqZGKRs7diy5ublkZWVx7969LlP+3b59m9mzZxMSEoKvry9+fn7cvHmTFy9edF1pP1BRUUFsbKwqs5BWqyU6Otrps9CxzmwHT09Phg0bproH8eeTACpEN5qamgCUMc5v+fv709jY+MNjLFmyhJMnT5KWlkZxcTHl5eVYLBaAXx4HHTRoEHV1dbS2tv7UtQ8YMMApfVlHbtzO1955tqlGo+myDHAKdn5+fkpS+87nefPmDXa7ncbGRnJzc/Hz81O9LBYLbW1tSl0D9OzZE29vb9Xx3N3dVfW1Z88ekpKSyMnJQa/XExoaysaNG5Vrq6qqIiEhgY8fP2Kz2SgtLaW8vJzIyEiXxp/tdjvNzc0EBAQ4vdfVZ0Gr1Tpt1/kexJ9PunCF6EZHAKmrq3N6r76+3in3bGfNzc2UlpZiNptJTU1Vyju3/n6WXq8nPz+fsrIy1WShrvTr109ZMPzb4FZfXw/Q5SQkV33vPIGBgUpAnDFjBmlpaV0e41eTq3t7e2M2mzGbzVRVVVFcXMy2bdvw8PBgw4YNXLx4kQ8fPnD8+HHVsb+Xy/l7evbsiZeXl3Jf36qvr/+t9Sn+HNICFaIb4eHhaLVaioqKVOVXr16lvr5eeeZTo9Hg5ubm1DL79OkTDoeDXr3+8z3V4XD8cGHy7hiNRnQ6HRs3buyy9dva2sqlS5cAmDx5Ml++fHFK7l9QUICHh8dvTQL+5csXzp8/ryrrWOqqI3hFRUXx8OFDwsPDiYiIcHr17t3b5fPrdDpWrFhBSEgIT548AdrrHlC1wB8/fkxlZaVq3+5a1V2ZNGkSFy5c4OPHj0pZU1MTly9f/sef/xX/m6QFKkQ3NBoNa9euZd26daSlpWE0GqmpqWHbtm2EhYUpY6M9evQgNDSU8+fPExkZibe3N4GBgQQEBDBq1CiysrLo378/Pj4+5ObmKuOCv8rd3Z0TJ05gNBqZMmUKqampjBkzBofDwf3798nJySEiIoKYmBji4uIYN24cy5Yt4+3bt4SGhnLhwgUKCgpYv369agLRf8vHx4e1a9dSV1enzMK9efMmR48eVbbZtGkTBoOB+Ph4Fi9ezODBg2lqauLRo0e8fftWeeznZ+n1embNmkVYWBienp5cvXqV58+fYzKZgPaJUB0tf5PJRG1tLVarVbXcG7Q/qtKjRw/y8vLw9PREo9EwfPhw+vTp43TOdevWMWPGDGbNmsXSpUtpa2vDZrNht9tZvXq1CzUn/nQSQIX4DpPJRN++fTlw4ACnTp3Cy8uLmJgYzGYzHh4eynY2m43169czZ84cWlpa2Lx5M+np6Rw7doxVq1aRnp6Op6cniYmJLFiwgOTkZJeuZ+TIkVy/fp3s7Gzy8vKorq7Gzc2N4OBgEhMTlQDSq1cvioqK2Lp1KzabjcbGRnQ6HZmZmSxZsuS31E0HX19fsrOzycjI4OnTpwQEBLB7927VTF2dTkd5eTlWq5UtW7bQ0NBA//79CQ8Pd2n91UmTJlFYWMjr16+x2+3odDp27drFwoULgfa1aw8ePEhmZibz5s0jODgYi8VCSUkJDx48UI4zcOBArFYr2dnZxMbGYrfbKS0t7XJGbkREBKdPn2b79u2kpqbi5ubG+PHj2bdvn+oRFvHvIcuZCSFctmjRIiorK526RoX4N5AxUCGEEMIFEkCFEEIIF0gXrhBCCOECaYEKIYQQLpAAKoQQQrhAAqgQQgjhAgmgQgghhAskgAohhBAukAAqhBBCuOBvccB7RxJKFgcAAAAASUVORK5CYII=\n",
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",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]
diff --git a/chapters/18/1/More_Likely_than_Not_Binary_Classifier.ipynb b/chapters/18/1/More_Likely_than_Not_Binary_Classifier.ipynb
index 189f9081f..985f3a9c0 100644
--- a/chapters/18/1/More_Likely_than_Not_Binary_Classifier.ipynb
+++ b/chapters/18/1/More_Likely_than_Not_Binary_Classifier.ipynb
@@ -303,34 +303,35 @@
     "\n",
     "**Posterior probabilities.** These are the chances of the two Year categories, *after* we have taken into account information about the Major declaration status. We computed one of these:\n",
     "\n",
-    "The *posterior probability* that the student is a Third Year, given that the student has Declared, is denoted $P(\\text{Third Year} ~\\big{\\vert}~ \\text{Declared})$ and is calculated as follows."
+    "The *posterior probability* that the student is a Third Year, given that the student has Declared, is denoted $P(\\text{Third Year} \\mid \\text{Declared})$ and is calculated as follows."
    ]
   },
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "$$\n",
+    "\n",
     "\\begin{align*}\n",
-    "P(\\mbox{Third Year} ~\\big{\\vert}~ \\mbox{Declared}) \n",
-    "~ &=~ \\frac{ 0.4 \\times 0.8}{0.6 \\times 0.5 ~+~ 0.4 \\times  0.8} \\\\ \\\\\n",
-    "&=~ \\frac{\\mbox{(prior probability of Third Year)} \\times\n",
-    "\\mbox{(likelihood of Declared given Third Year)}}\n",
-    "{\\mbox{total probability of Declared}}\n",
+    "P(\\text{Third Year} \\mid \\text{Declared}) \n",
+    "&= \\frac{0.4 \\times 0.8}{0.6 \\times 0.5 + 0.4 \\times 0.8} \\\\\n",
+    "&= \\frac{\\text{prior probability of Third Year} \\times \n",
+    "\\text{likelihood of Declared given Third Year}}\n",
+    "{\\text{total probability of Declared}}\n",
     "\\end{align*}\n",
-    "$$\n",
+    "\n",
+    "\n",
     "\n",
     "The other posterior probability is\n",
     "\n",
-    "$$\n",
+    "\n",
     "\\begin{align*}\n",
-    "P(\\mbox{Second Year} ~\\big{\\vert}~ \\mbox{Declared})\n",
-    "~ &=~ \\frac{ 0.6 \\times 0.5}{0.6 \\times 0.5 ~+~ 0.4 \\times  0.8} \\\\ \\\\\n",
-    "&=~ \\frac{\\mbox{(prior probability of Second Year)} \\times\n",
-    "\\mbox{(likelihood of Declared given Second Year)}}\n",
-    "{\\mbox{total probability of Declared}}\n",
+    "P(\\text{Second Year} \\mid \\text{Declared})\n",
+    "&= \\frac{0.6 \\times 0.5}{0.6 \\times 0.5 + 0.4 \\times 0.8} \\\\\n",
+    "&= \\frac{\\text{(prior probability of Second Year)} \\times\n",
+    "\\text{(likelihood of Declared given Second Year)}}\n",
+    "{\\text{total probability of Declared}}\n",
     "\\end{align*}\n",
-    "$$"
+    "\n"
    ]
   },
   {