Skip to content

Instantly share code, notes, and snippets.

Show Gist options
  • Save petermchale/1c15b3860fc55b29b94b3867e93ef7b8 to your computer and use it in GitHub Desktop.
Save petermchale/1c15b3860fc55b29b94b3867e93ef7b8 to your computer and use it in GitHub Desktop.
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "4629d4ce",
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd \n",
"import numpy as np\n",
"import seaborn as sns \n",
"import matplotlib.pyplot as plt \n",
"\n",
"sns.set_context(\"notebook\", font_scale=1.5, rc={\"lines.linewidth\": 2.5})"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "f3e11933",
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAbAAAAEqCAYAAAB0swUPAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAABVcElEQVR4nO3dd3gUVffA8e9JDyX0JkgVBAQUxYKINCliQRDbiwqICurvtb2+KiKKYve1FwSVptgVFAuKAgoIiIpSFZVepEonpJ3fH3cSlmVTNtlkN8n5PM88yd65M3N2CHt25t65V1QVY4wxpriJCncAxhhjTH5YAjPGGFMsWQIzxhhTLFkCM8YYUyxZAjPGGFMsWQIzxhhTLFkCMyaMRGS8iOTpWRYRqS8iKiIjCjmsfBORAV6MHcMdiyn5LIEZY4wpliyBGRNe1wGJ4Q4ihN7AvZ/vwh2IKfliwh2AMaWZqqYCqeGMQUTKq+reUOxLVdOB9FDsy5jc2BWYMXkgIvEico+ILBORZBHZJSJTRaS1X72OXhvQABH5t4is9OqvFJF/B9hvwDYwETlLROaKyEER2SIiLwLlsolNROQGEflJRA6IyF4RmSkinfzqZbWhichlXv2DwAveevXi6Swi87x9bRCRu7z1lUTkdRHZ6q37VESO8TvGUW1gIpLgHfN3b7tdIrJERJ7M6/k3JhC7AjMmFyISC0wDzsTdInsRqIC7/TdXRM5W1R/9Nvs3UBMYDewFrgCeF5HKqvpALsc7Hfja2+5xYBdwOTAxm03e8Pb/ATAOiAf6AdNFpI+qfuJX/yLgZmAU8Aqwx2dda+ACYIx3vEuBx0QkGegPrAFGAMd5+5gInJPT+wFeAq7x6j4DRAONgc65bGdMzlTVFltsyWEBbgMU6O5XngSsA2b5lHX06u4F6viUxwE/4G4X+paPd/8Nj9jv90AK0CTA9gqM8Cnv7ZVd77ePGOBHYDUgXll9r24q0CzA+1QgAzjd77ibvfLn/eo/7W1zvE/ZAK+so0/ZTuDzcP872lLyFruFaEzurgR+A34SkaqZC+7DfTpwloj4d8SYpKobMl+oagru6iMGd4UTkIhUB9oCH6vqygDbB4ptLzDFL7aKwFRc0mrst81nqroimxDmqeoCv+P+AAjwvF/d2d5P//372w2cICItcqlnTFDsFqIxuWuG61m3LYc6VYH1Pq8DJYjl3s+GOewnc91vOWzvH1t5YEsO+6wBrPR5vTK7isCqAGX/eD9XZ1NeJYf9AdyKu825RERWATNxyXWqqmbksq0x2bIEZkzuBFgC3J5DHf/kFujhZMnjsYLZXrxj/yuHfS71e30gh7rZ9iBU18MwkBzfl6p+LCL1gZ5AB1yb2SBgtoic413lGRM0S2DG5O4PoBowI4grhuYBypp5PwNd5WT6y69uoO39Y2sCzFfVfXmMrcip6k7gTeBNERHgMeBOoBfwfjhjM8WXtYEZk7uJuB6FAa/ARKRGgOJ+IlLHp04crjNIOvBpdgdS1a3AfKCXiDQJsH2g2KKAR4OIrciISLSIVPQtU1UFFnkvKxd5UKbEsCswY3L3HNAVeFJEOgMzcF3P6wJdgGSgk982K4EFIvIKrpPFv4BTgZGqup6c3Q7MwnXRf4nD3eiP+v+qqh+IyDjg/0TkZFxy3A7UwXUGOY6c29wKW3lgs4h8gktaW4EGwA24NrSpYYzNFHOlNoF530zfAM4C/gQGqupP4Y3KRCJVTRWR84AbgauAzOe4NuF66E0IsNkLuG72/8YlunXArar6XB6ON09EuuJus92NS5bv457bWhKg/jUiMhO4HhiK6x35N/Cz9zqcDgDP4hL9ObiHsTcDnwCPquqm8IVmirvM50NKHRH5CPef/D+4D6V7gMbqhvYxJl+8EShm4r4QjQ9rMMaUcKWyDUxEygPnAw+o6kFVHeOtOjOMYRljjAlCsUhgIlJHRJ4TkTkisi+n+YZEpJyIPC8im71x5H4UkQv9qjUGdqmq77MzSwjcc8wYY0wEKhYJDNcQfQWwD/gml7qTcePA3Quch3v4c7KI9PSpU5Yjx3/Dex1wsFRjjDGRJ88JTETGeoOMZrf+NBEZG5qwjvKdqlZX1R64wUqzi6EnrqH4WlV9XVVn4AYgnQc85VN1P653lK8kXII0Jt9UdZaqirV/GVP4gumFOAA3QvaCbNY3wCWLawoY01GCeHi0N27ctY99tlURmQCMEZHmqroc9/BnJRGp4XMbsQXwP/8des+wVPQrjsN1Tf4Dm/vIGGPyKhqoBSxU1UMF3Vkou9GXJcwT8+GS0PIACW+x3/q9IvIpMFxE7sANiCq4UcD93QrcX0jxGmNMadQemFPQneSYwESkLm4060xNReTsAFUr4x5M/LOgARVQFQIPVLrTZ32mG3BD2/yDi/vibLrQP4ub8sJXPWDW7NmzqbX4RVj9LT80uIkXNh7Hup2Hh5k7v2UtbuvahPjY6Hy9GWOMKUk2bNhA+/btwT0LWGC5XYENxF19qLcM8xZ/gpsvaGAogiqgnB5sy1rn3TrsmuvOVHfhRkLI4oZygzox/1B/6xdQFhptfZLLT7mUr+r9l2FfrGX7vhSmrctg47TNvHLVKdSu6D/bhjHGlFohaXrJrRPHFFxSGoRLUq/i2rh8l4FAX6CBqr4RiqAKYAeBp3bIHG9tZ4B1+VezJVw2CRLd7mXxe3T/7mK+6hNLm3qVAFiycTcXvTSXJRt2h/TQxhhT2uV4BaaqvwK/AohIPeBDVfWfmiGSLAMuFpEov3awlt7P0Mfe7Hyo0wY+vgn+/Bp2r6Py+71598xbebjmhYxdsIltew9x2Zh5jLryFDo0qRbyEIwxpjTKczd6VX0gwpMXuGfAKnL0jLdXA797PRDzRURGeA9QK/4T+5WvCf0+gHOfhJgE0Ayi5z7NfVtv5enOZRCBAynpDBq/kA9+2hD4AMYYY4ISVC9Ebx6fc3AjWVTh6InsVFVHhig2/2P39X491fvZwZs6fb+qfuGVfY4bh+51EamCSzT9cQP29irI8VV1BDDCi6U+/klMBE6/Hhq0hw+vgy1LYPMv9Nl2BU3OuIs+C48nJU254/1f2ZucysB2DQoSjjHGlHp5HsxXRBrj2sSakv0MrKqqhdLlzrvyCWStqtb3qZcEPIJrl6uIG4njQVWdEsJY6gOrV69eTf369Y+ukHYIZjwE379AZr+RXXU602vDFaxNLgvAyItacNUZ9UIVkjHGRLw1a9bQoEEDcH0m1hR0f8EksGlAR9wQTTNwHSaOoqprCxpUpMs1gWVa/R1MHgJ7NgKQlliV25KvZerBVgDc2LERd3Q7nqiovMw0b4yzZ88etm7dSmpquB+7NMaJjY2levXqJCUl5VgvnAlsH/Ciqt5d0IMWd3lOYAAH/4FPb4dlH2UVvUs37k++gmTi6da8Bs9cdhJl40vt1GwmCHv27GHLli3Url2bxMTErEc6jAkXVeXgwYNs3LiRGjVq5JjEQp3AghnMNwX/dp9SJMdOHDlJrAR9x0LvMRDv/mEv4yu+KnMvLWQVXy3fwsWjvufPrXsLKXJTkmzdupXatWtTpkwZS14mIogIZcqUoXbt2mzdurVIjx1MAvsSaFdYgUQ6VR3hDdIquHEf804ETrwMhsyBum0BqJuxkSnx93Nj9Mes/Hs3578wh0kL1lJaJxg1eZOamkpioj0UbyJPYmJikd/WDiaB3Q60FZH/iEhcYQVUolWqBwM+g87DISqGGNK5M/Zd3ol7iCqpWxg2eSlD3vyJvcnWtmGyZ1deJhKF4+8ymAQ2FzflyBPAfhFZKyKr/Ja/CifMEiQqGs6+AwZNhyrHAXBa1G98mTCUXlFz+HLZFq58/Qd2HUgJc6DGGBPZgklg63Bd0r/DjSK8Cljrt6wLdYAlVu2TYfB30MbNPlOOAzwX9zLPxb7I6vUbuXzMfLbvK/BsA8YYU2IFMxJHR1XtlNtSmMGWOHFl4fxn4Ip3oExVAHpFf88X8XdTcesCLn1lHj+v+yfMQRpT8o0dO5Y6deqQnJyca91nnnmGXr16ceyxxyIiDBgwINu6W7ZsoX///lStWpWyZcvSvn17vv8+0KxNjn+v5l9//RURYfjw4dluM3v2bESEJ5544ojybt26ISKMGDEi4Hbjx49HRAIujz32GAC7d++mUqVKfPzxxwH3EW7BXIGZwnL8uXDjPGjcDYDasoO3Yh/m0l2v0e+V2Xxow08ZU2j27dvHsGHDGDZsGAkJCbnWHz16NJs2baJnz5451k9OTqZLly58++23vPDCC0yePJny5cvTpUsXFi1aBEBaWhoPPvgg27dvP2LbtWvX8vjjj3PiiSfSunVrJkyYQEZG4Hl9x48fT0xMDFdffXVW2fr16/nmm2+y1ufUOWzixInMmzfviCVzXxUqVOA///kPd9xxR2Q+d6iqQS3A2cBDuJHpm3pl5bzyisHur7gsuGGk1HdZvXq1hlRGhuqCMZoxsrrq/Umq9yfp0uEttcvQ0frOD2tDeyxTLC1fvjzcIZQ4L7zwgpYrV07379+fp/rp6elZv1eoUEH79+8fsN5LL72kgP70009ZZcnJydqgQQPt0aOHqqqmpaXpa6+9pq1bt9Ynn3xSa9WqpUOHDtUzzjhDJ0+enBUfoF999dVRx9i/f7+WL19eL7jggiPKH3jgAQX0ggsuUECnT59+1Lbjxo1TQBctWpTj+92yZYvGxMTo22+/nWM91dz/PlevXp35+VlfQ/C5nOcrMBGJFpF3cWMN3oObSuUYb3UabpipG/OdSSOcFqQbfV6JwGnXIYO/g1onAnBC1Fo+jb2HpVOeYtL8NYVyWGMixYoVK7jkkkuoWrUq8fHxtGrVirfeeguA7du3U6dOHTp27Eh6+uHppBYuXEhcXBy33XZbVln9+vW56KKLeOedd2jWrBkJCQk0bdqUSZMmHXXM0aNH07t3b8qUKZOnGKOi8vaxOXnyZFq2bMnJJ5+cVRYfH88VV1zB9OnT2bt3L9HR0QwaNIi5c+fyxRdfsHnzZtavX8/cuXO56KKLAOjXrx/x8fGMHz/+qGN88MEH7N27l2uuuSarTFWZMGECjRo1YvTo0cTExDB27Ng8xRxI9erV6dq1K6NHj873PgpLMLcQ7wIuxnWnb4bPeIiqmowbCb5nSKMrraodD4O+hrNuQxESJJWRseM55rOreez9WRxMCclccMZElMWLF3PaaaexZs0aXnjhBaZOncrpp59Ov379eP3116latSpvv/02c+bM4f777wdg165dXHbZZZx00kk8/vjjR+zvxx9/5J577uGee+7hgw8+oHHjxlx55ZW89957WXU2bNjA0qVL6dChQ8jfz9KlS2nRosVR5a1atSI9PZ0VK1aQnp7OhAkTOOuss+jRowe1atWiTp06tGvXLqvdqVKlSlx00UVMnjyZ3buPnFdw3LhxVK9enfPOOy+rbObMmaxatYoBAwZQq1YtevToweTJk9m1a1fAONPT00lLS8tafL8cZOrYsSOzZ89m797IGnAhmPGLrgYmqupz3kjv/lZgCSx0YuLgnBHIceeQ8v71xO3fSKfoX2m19Eqe33g7Vw+8gVoV7IFW4/nibvh7SbijcGq2hHMfC3qzO+64g6pVqzJr1izKlnWDXnfr1o3t27czbNgwBg4cSPv27XnggQe47777OPvssxk9ejQ7d+7km2++IS7uyMdTN23axLJly2jWrBkAPXv2pGXLlgwfPpxLL70UIKtDRevWrQvyjgPasWMHlStXPqo8s2zHjh2oKmvXrmXatGlUq1aNl156iUcffZQ1a9bwzjvv0KuXm0Tjmmuu4d133+Xdd9/l+uuvB9ywTN9++y233347sbGxWfsfO3YsUVFR9O/fH4CBAwfy6aef8tZbb3HjjUffJGvTps0Rr8uWLcu+ffuOKDv55JNJT09nwYIFnHPOOQU4K6EVTAKrDzyVw/pdQKWCBGMCqH8Wcf/3Pfsm30q5lZOpInu5a9cDvPf0XGpc8hQdWtQPd4QmEvy9BNbOCXcU+ZacnMzMmTO5+eabiY+PJy0tLWtdz549mTJlCr/99hvNmzdn6NChfPvtt1x44YUcOnSIDz74IHN8vSOceOKJWckL3K2/Sy+9lBEjRvD3339Ts2ZNNm3aBEC1akdONJuenn5Ex4eoqKg83zr0ldPDvSJCTEwM991331Hr6tevz913Hx529pxzzqFu3bqMGzcuK4Flds7wvX24e/duPvroI7p06cKxxx4LwAUXXEC1atUYO3ZswAQ2adIkmjRpkvU6OvroCUWqV68OwMaNG3N7y0UqmAS2Fzj668RhxwHbChaOCSixIuX+NZ6UReeSPvV2EjP2cal8zer3u/Plpmfo3s0ufEu9mi1zr1NU8hHLjh07SEtL4+mnn+bpp58OWCezp17m1cX06dM57rjjstqKjgqjZs2jymrUqJF1vJo1a3Lw4EGAo3oTZvYezNS/f/+AbVA5qVKlCjt2HD1px86dOwECXp2tWbMm4L4y3/PIkSP57bffOP7445k4cSKnn346zZs3z6r39ttvc/DgQS6++OIjbhn26dOH0aNHs3jxYlq1anXEvps3b85JJ52U43vJPD+Z5ytSBJPA5gBXisgT/itEpBKuU8e0UAVmjhbX+jJo0Jadb15D5e0LaSB/U2fulczZcB3t+j+MRNuI9qVWPm7ZRZJKlSoRFRXFwIEDGTJkSMA6xx9/POC6iN9yyy2ccsopLFq0iJEjRwZ81unvv/8+qmzLli2ASy4AVau65y937tx5xFXY6NGjj2jvyawXjBNOOIGlS4+exH7JkiVER0fTtGnToPY3cOBAHnroIcaPH0/37t1ZvXr1EVdpQFZnjSFDhgQ8j2PHjuXZZ58N6rhwOOnm5zwUqrx2VwTaAMm4Xoj9gQzgNmAwbnT2/UDzUHSNjMSFouhGn1fpabph6iOacn/lrO72fz3WTg9tXRWeeEyRKcnd6Dt16qSnnHKKpqamZlsnNTVVzzzzTK1bt67u3LlT7733Xo2KitIZM2YcUa9evXoaFRV1xPlKT0/X5s2ba5MmTbLKZs+erYB+9tln+Yo5p270L7744lHd1A8dOqQNGzbU7t275+t4nTp10mOOOUb79eunZcqU0d27d2etW7p0qQJ6+eWX68yZM49aWrdurVWqVNFDhw6pat670auqTpo0SYFc//6Kuht9sB/iPYHNXvLKANK9n38D3UIRUHFYcO2B4Utgng3Lvtc1I5pnJbH9I2rq3vkT3fNkpkQqyQns119/1aSkJG3Xrp1OnDhRZ82apVOmTNHHHntM+/Tpo6qqd955p8bExOj333+vqu45qg4dOmitWrV069atWfuqV6+e1q5dWxs2bKhvvPGGfvrpp3r++ecroO+++25WvUOHDmmZMmV0+PDheY5z4cKF+v777+v777+vZcqU0Y4dO2a99o3h4MGD2qxZM23QoIG+8847+tVXX+l5552nCQkJ+uOPP+brHL3xxhsKqIjoVVdddcS62267LceENGbMGAX0/fffV9XgEti///1vrVGjRq71IjqBqfvwjgfOB/4L3An0BsqEIpjiskRKAlNV3bZzp3766L+ykpjen6T737xSdf+OcIdmCkFJTmCqqn/88YdeddVVWqtWLY2NjdUaNWpox44d9eWXX9bPP/9cRUQfe+yxI7bZtGmTVq9eXXv06KEZ3pe3evXqaa9evfTtt9/Wpk2balxcnDZp0kTfeOONo4559dVXa6tWrfIcY//+/Y+4E+O7zJw584i6mzdv1iuvvFIrVaqkiYmJ2q5dO509e3bwJ8Zz4MABrVChwlHHSklJ0WrVqumpp56a7bZ79+7V8uXL67nnnquqeU9gGRkZWq9ePb399ttzja+oE1ieZ2Q2hwU1I3MRSE5NZ/z4MVy84VGqiXtOJK1sLWIuHg0NQ/98iwmfFStWHNGzzgRWv359TjrpJKZMmZJr3R9//JFTTz2Vn3/+uVC60xd3M2fOpGvXrqxYsYLGjRvnWDe3v89wzshsIlRCbDSDrx3Cqye8yfR099R/zP7NMPFC+HIYpNmo9sZkp02bNvTt25eHH3443KFEpIceeohBgwblmrzCIagEJiL/EpG5IrJVRNIDLGm578UUBhHhrr7t+eH0FxmaOogDGu9WzHsRHdMJtiwPb4DGRLCnnnqKVq1a5Wk0+tJk9+7dnH322YwcOTLcoQSU51uIInIv8ACwBfgBCDjPh6oODFl0ESrSbiH6G/3tX7z/5SyeinmRE6NWAaDR8UjXB+C0wZCPBzJNZLBbiCaSFfUtxGAeHLoRmAX0UNUIHFffZBrcoRFdmlXn32/Wp+fOidwY/THR6Ydg2t3oyq+Qi16GpFrhDtMYYwokmK/iScB7lryKh+Oql+edG87mjxNu5bKU4azPcA9pyqoZ6KgzYcXUMEdojDEFE0wCWwQcW1iBRDoRGSEiKiKKe3A74lVIjOX5K1pz04CruCbhaT5Mbw+AHNwJ714JH98Eh/blshcTaaznsIlE4fi7DCaB3QsMEZGTc61ZAmlRzAdWSDodX50Pbj2XqQ3v46aUm9mt3rxHi96EV86C9QvDG6DJs9jY2Igbj84YcOMk+o6KXxTynMBU9VtgEDBfRL4VkQkiMtZveb3wQjUFUaFMLK9e3YaEk/rS/dDjzE0/wa34ZzWM7Q6zHoN060Qa6apXr87GjRs5cOCAXYmZiKCqHDhwgI0bN2aNWl9UgumFeDpusN4KOVRTVT16LP4SJtJ7Iebm3YXruHfyYvrL5/w35l3iM59+qHMq9BkDlRuGN0CToz179rB161ZSU6052kSG2NhYqlevTlJSUo71wtkL8TkgFegFzFbVXQU9uAmPy06tyzEVExnyRgxzU1rwXOyLNInaCBsWwivt4dzH4aR+kMNcRiZ8kpKScv2gMKY0CKYNrBXwP1Wdasmr+GvfuBrvDm7LtrJNuCDlYcaldXcrUva5zh3vXQUHdoY3SGOMyUEwCWwrkFJYgZii16J2BSbfeCZ1q1fmgbT+XJ1yF1u1olu5Yiq83Bb+mhHWGI0xJjvBJLCxuAktbdbEEuTYymX4/Jb2DO7QkNl6It0PPcaX6W3cyn1/wxu9YdpQSLUhdowxkSWYBDYHN/fXfBG5RkQ6icjZ/kshxWkKUWx0FEPPbcaYq9qQGl+Zwam3cWfqdRzEm2Z9/svwaif4++jZZY0xJlyC6YWY4Vfkv6FgvRCLvXU7DnDl6wtYt/MA9WUzoxJfoVnGH25ldBx0uR/OuNHGUzTGBC3UvRCDSWD981JPVScUKKIIJSIjgPt9y0piAgPYk5zKvZOX8smvm4ghjdviPuaGqMlE4X2HadABer8CSceEN1BjTLEStgRmDivJV2CZ0tIzuP+TZUxasA6Ak2UlLySMorZucRUSKsIFz8EJF4UtRmNM8WITWpoiERMdxcheLbj3vGaUi4/hZ21Ct4OP8F6aN8Nz8i54vz9MuRGS94Q1VmNM6RTshJZlReQBEVksIvu8ZbE30G3ZwgrShEdUlHBt+4bMG9qZwWc3JCW6DHemDWZIyq3siyrvKv0yyY2nuG5BeIM1xpQ6eU5gIlIZN5HlcKAmbnT6RUAN4D7gB6+OKWHKJ8QytGczpt/WgZa1KzAt4zS6HHiUX2JPchV2rYVxPWDGw5BuwxsZY4pGMFdgDwJNgf8Daqlqe1VtDxwD3AQcD4wIeYQmYtSvWpa3rjudE4+tyBYq03vvHTyu/cmIjgPNgO+ecAMD7/gr3KEaY0qBYBLYhcBrqvqyqqZnFqpquqqOwj3ofFGI4zMRpnxCLO8NPoNL29RBiWLUoe5clPIweysc7yps/MmNp/jTBLAOQsaYQhRMAquBu2WYnZ+9OqaEi4+J5rE+rRh6blOiBBan1qbNlqH8WOsKVyF1P0y9Gd7pB/u3hzdYY0yJFUwC2wK0zmF9a6+OKQWiooTBHRrx7OWtiYuO4hBx9F19AbfGjSA5wZsT6PfPYNSZ8MfX4Q3WGFMiBZPApgKDRGSwiGRtJyJRInI9cA3wSagDNJHtwhOP4d3BZ9CkRjkApuxpwhm7RrKqWhdXYd8WmHQxfP5fSLWZhI0xoRPMSBxVgHlAI2Ab8Lu36nigGvAncKaq7iiEOCNKaXiQOVhp6Rm8vXA9T0z7jb3JaYDy7PHL6bX5OSRln6tU9Xi4+DWo1SqssRpjwiNsDzJ7iakN8BiwAzjVW7YDjwKnlobkZQKLiY7iqjPqMena00lKiAGEW38/ge7Jj7A64QRXafvv8GpnmPscZPgPrWmMMcGxoaTywa7AcrZi8x6unfAjG3e5W4bRpHNj9MfcFjuZKLwOrPXbu/EUK9QJY6TGmKJkQ0mZiNesVhIz7ujAmKtO4azjqpJONC+k96HPofvZILVcpTWzXQePJR+EN1hjTLEV9BWYiHQFGgNVcFOo+FJVHRmi2CJKaRqNPpRUlSe+/J3xc9dwMDWdMiTzyXGfctyGjw5XanUZ9HwSEiqEL1BjTKEL53QqTYHJQBOOTlyZbD4wE1BqeganPfw1/xxwQ00NbfgX1+58mujkf1yFCnWhz2iod2YYozTGFKZw3kIcDRwL3AqcDDQIsDQsaECmZIqNjuKxi1sh3lefR1c14oxdD7E4oY0r2L0Oxp8H3zwIaSnhC9QYU2wEk8BOA55U1RdU9RdVXRtoKaxATfHX/YSaPHvZSTSt6Uay30Yleu26lftT+5MqsW48xdlPwetdYfsfYY7WGBPpgklgO3Bd5o3Jt14n1eaLW9ozdkAbzm9VCyWKCend6Zn8MCu0nqu0+Rc3nuLC1208RWNMtoJJYO9gg/WaEBAROjetwYv/OpmPbjyTpjXL84fWodehBxmddh4ZCKQdhM9uh7cvh33bwh2yMSYCBdOJIx74AEgDngfWAOn+9VR1XQjji0jWiSO0VJUvl/3NPZOXsnN/Cm2jlvF07ChqyU5XoWw16PUSNOke3kCNMQUSzk4cqcAy3LQqX+OGjlodYDEmKCJCjxa1+OGeLrRvXJV5GSfQ/dBjfJp+hquwfxu8dSl8ejukHAhvsMaYiBETRN3HgdtxU6rMAf4plIhMqRUTHcXYAafy6uxVPP3VSv4v9d98k96ah+PHU0YPwo+vuweg+7wKx5wU7nCNMWEWzC3ELcBsVe1buCFFPruFWPhWbN7DgHE/sGXPIerINp6NG0Ub+c2tjIqBTsOg3S0QVeIfOzSmxAjnLcQywFcFPaAxedGsVhIfDDmT0xtUZoNW49JD9/JE6qVkSAxkpME3D8CEC2BXiW9yNcZkI5gENh84obACMcbfsZXL8O7gtlx7VgMyiOLl9IvolTyCXWW87vZr58Kos2Dx++EN1BgTFsEksP8Al4lIn8IKxphAhp3XjGvaNQBgiTak7c77+bXmxW7lod3w0bXwwSA4uCt8QRpjilwwbWAzcENJNQQ24noc+nejV1XtEtIII5C1gYXHuLmrefLL3zmQ4v7sukb/zLOJr1M2zetPlFTHTdHSoH0YozTGZCecbWANcb0W1+ESV11sLERThAa2a8DHN7UjNtoNqDg9/WQ67HuERfGnuQp7Nrh2sen32XiKxpQCNqFlPtgVWHjNX7WDb1du46OfN7BlzyFAGV7jewbue52o9GRXqWZLuPh1qHZ8WGM1xhxmE1qaUu+MhlW4q0dTXvrXySTGRgPCyC3t6HpgJEsy6rtKfy+B0WfDD6/aeIrGlFCWwEyx1aZ+ZWbe0ZHaFRMB+Etr0yflQV5Ou9AbTzEZPr8DJl0Ce7eEOVpjTKhZAjPFWs0KCcy4owMv9zuZe89rRnx8Ak+kXc4Vh+5lo1Z1lf6cDqPawm+fhzdYY0xIWQLLIxEZISIqIoqN+RhR4mOi6dmyFte2b8jb151B05rlWaDNOPfQo0xJ92Z4PrAD3rkCpt4CKfvDG7AxJiQsgeWRqo5QVVFVwfW4NBGoZZ0KTLv1bB66qAV7KMutqf/HzSk3sUfLuAo/jXdzjW38KaxxGmMKzhKYKZGuPKMev9zXlaSEGD7JaMe5hx5lQUZTt3LnX/B6N/juScg4akYgY0wxYQnMlFgVy8Txy33deO7yk9hINa5IuZfHUi8nPXM8xRkPwbie8M+acIdqjMmHoBKYiESLyNUi8qaITBeR1l55Ja+8duGEaUz+REUJvU6qzUv/OpkMongl/UIuTH6AbfHeeIrr57vxFH9527rbG1PM5DmBiUgZ4FtgPNAL6AxU8lbvAR4DbghxfMaExHmtavHCFa0BWKYNaL97BBPTurqVKXthyhD4YCAc2BnGKI0xwQjmCmwE0AbojRsySjJXqGo68BFgc76biHXBiccw5qpTqJEUTzLx3Jc2kAEp/2WbJrkKyybDqHaw6tvwBmqMyZNgEtglwBhV/RjICLD+T6B+KIIyprB0O6Emc+7qzOirTgFgVkZrehx6nHkx3niKezfBxAvhy2GQdiiMkRpjchNMAjsG+DWH9QeA8gULx5jCFxsdRfcTarLgni4cX6M8O6jAFftuYUzSv9EYN6oH816EVzvD1hXhDdYYk61gEtgOIKdOGicAmwoWjjFFp0ZSAm9ffwZ1KiUCwiNb29Jl/0h+zfAmVdiyFEZ3gPmvQEagmw7GmHAKJoF9Awz0OnMcQUQaANcA00IVmDFFoXLZON6+7oys16v0GC5OGcELaReRrgLph2DaXTCpL+z9O4yRGmP8BTOh5XHAj7jJLN8GHgCews0NNsT72VpV1xdOqJHDplMpebbuTebLpX+z91AaHy/axO9b9tJGfuOZ2FEcG7XNVUqsDBc+D80uCG+wxhRToZ5OJaj5wETkFGAs0NJv1VLgKlXNqY2sxLAEVvI9Me03Xp71F+U5wIjYCVwcPTtr3V91+lCu1/+oUa1KGCM0pvgJawLL2kikBdAM15X+D1VdVNBAihNLYKXD1j3JPD/jD96cv47zoubzSOxrVJADAKzJqMGYqkO5deAVVC+fEOZIjSkewpbARORsYIWqbstmfVWguap+V9CgIp0lsNJl/qod3PfxUpJ3rOdReZl20csASNMoXkzvQ/3ew2lepwrVysVTqWxcmKM1JnKFM4Gl424TvpXN+suAt1Q1uqBBRTpLYKXX2u17WfTuw5y79VXiJQ2AnzOO49bUm9gWcwxvXXc6retWymUvxpROoU5gwfRClFzWRxP4AWdjSox6Vctz0U2PkTLwazbGuvEUT476k8/jhnJ+xjdcM+4HklNthHtjikKwo9HndLl2JrC9ALEYU2yUr9+a2ncuYFvzgQCUk2SejB3DI2lP8tB7c8IcnTGlQ463EEXkFuAW72V9YBsQaDrbSkASMFZVrwtxjBHHbiGaI/z5NemTbyB6/1YAtmhFxle/G2nUiZu7NCYhtsTfVTcmT4r6FuIuYK23gBuNY63fsgaYDQzncLIzpvQ47hyib5zPP3W7AVBDdnHXtrupMmcEJw7/hD3JqWEO0JiSKZhOHKuBW1T1k8INKfLZFZgJSJUZbz9F25VPkkgyAL9lHMutqTcx+NIL6N26TpgDNCa8IuI5sNLOEpjJ0Y6/OPjuNSRu/QWAQxrDE2mXMbvyJZx3Yh1u7nIcIrn1iTKm5AlnL0TAPQ8mIg+JyKsi0tQrK+eVVyxoQMYUe1UakTj4aw60/Q8ZRBEvaQyPncR9u4bx1tfzmb58S7gjNKZECGZG5mgReReYCdyDG7z3GG91GjAFuDHUARpTLEXHUqb7fUQN+pJ9Zdytw7Oil/Fl/F1MnvQyd3+4mL+27eNQmnW5Nya/grkCuwu4GLidw8NIAaCqycBkoGdIozOmuDv2NMrdMh9OuhKAirKfUXHPccqiYfR66guOv3caizfsCm+MxhRTwSSwq4GJqvocgZ/3WgE0CklUxpQk8eXhopdI6TOO/VFuztdLYr7j87ihnCwrufDFuezcnxLmII0pfoJJYPWBeTms34V7HiziicgDIrJcRDJE5PJwx2NKh7hWfSh76w+k1DsbgLpR23g/7gFui3mfkZ+UiokcjAmpYBLYXqByDuuPwz3oXBz8gXtm7YdwB2JKmaRjiOv/MXR/BI2OI1qUW2ImM+C3wexcvwLrFWxM3gWTwOYAV0qA/r8iUgnXqWNmqAIrTKr6pqpOB+9hHWOKUlQUtL0JuX4We5IaA3Ci/EX8ax24+97/8u4Pa8nIsERmTG6CSWAPA42BGcD5XtmJIjIY+BkoCzwWzMFFpI6IPCcic0Rkn4ioiHTMpm45EXleRDaLyEER+VFELgzmeMZElBonUOam7/ggrhcAZeUQj8e+SsWp1/DJ/CVhDs6YyJfnBKaqPwJ9gKbAOK/4f8AoIBHorarLgzz+ccAVwD7gm1zqTgb6AfcC5wHLgckiYj0fTbEVE1+GdjeN5suTR7FFXRNy9+gfOfPLC9j56+dhjs6YyBYTTGVV/dwbhaIrPjMyA1+q6oF8HP87Va0OICIXAQGvqLwkdQ7QR1Une2UzgYbAU8DnPnW/ANpnc7wHVfWJfMRpTKGpVSGRWhf+C87pwcIXr+bUA7OpLrtg8hWsWXwlseeOJD6hLFXLxYc7VGMiSlAJDEBVDwGfekuBqGpe5w/rDewGPvbZVkVkAjBGRJpnXv2p6rkFjcuXN7pIRb9iG9TOhF6ZyjT990fc8dC9jIiZQDlJpv5fb7Ly+Zlcl3oTZ5/dhbvPbRruKI2JGEEPJRUmLYDlARLeYp/1eSYisSKSgHv/sSKSICLZnYtbgdV+y+xgjmdMXpVPjGP4sIe5TJ7kpwzXwaNJ1EamxA0nfc5zDBq3gNXbA81oZEzpk+0VmIjMyMf+VFW7FCCe7FQBVgYo3+mzPhivAv2939sDE4FOwKwAdZ8FxvuV1cGSmCkkFcrE8sl9VzFjWWeWLhlF85WjiJN0hsW+xferfuGZD+7h+SEXhDtMY8Iup1uIDcl5BuaillMsQcWpqgOAAXmsuwv3kHYWG0ncFLboKKFryzrQ8mF0/UXsnDSAyskbODN6OSdsvp6v3xtOWvPedGtek6go+3s0pVO2CUxV6xdhHLnZQeCrrMwHq3cGWGdMiSDHnkrl2xaw5+P/krT8LSrIAc5ZPpQPl3zGaVxDh5bHAXDSsRW4qm398AZrTBEqLm1gy4BmAdqpWno/lxZxPMYUrfhyJF06ivHHPsxOLQfAxdFzmBJ1J+sWfc2HP29g+MfLaHTP5zw9faWN6GFKhXwlMBE5XkTO9ZbjQx1UAJNxPQH9b/xfDfyej+fPgiYiI7wHrRXXkcOYIjdg0P8Rc9N8/q7WDoA6sp134h/ijph3iSWN9Azl+W/+oMHQz5m8aEOYozWmcAU1I7OIdAZewD3M7Os34GZVze1h5ED77Ov9eipwJzACd8W1X1W/8OoI7kHnVl6d1bhOGFcDvVR1arDHLQibkdmEXUYGLHwVvhoO6YcA+DPmOK7fP4RVekxWtdZ1K/K/S06kYdWy1nZrwi7UMzLnOYF5yWsacAiYhBsJQ4DmuNE0EoAeqhpU70XviiaQtb7tcCKSBDwC9MVdjS3HPZg8JZjjhYIlMBMxtq6AD6+DLW7oqfToBB5KvZJxKZ3wmbKPq9vW48FeQT1tYkzIhTOBzQdqA2eo6ka/dXWA+cB6VW1b0KAinSUwE1HSDsGMkfD9i2R2yP2r0llcurkfO6gAQEJsFM9cehIiQuWycbSpV8l6L5oiF+oEFkwbWCtgtH/yAlDVDcBo4MSCBmSMCVJMPHR7CK7+GJJqA9DonzksqDSc50/ZCkByagY3TPqZIW/+xKWj5/H2wnXhjNiYkAgmge3GzQmWnT34PS9VklgnDhPxGnaAG+bCCb0BiDm4nQuX3cpz5d4ggUNHVH1j3lo+X7KZ71ZuIyUtryO6GRNZgrmF+DxwGnCWqqb5rYvFjUyxQFVvCXmUEcZuIZqIpgqL34XP7oAU953zUMXj2Nj5eV7/K4lJC468+mpaszyvDziV2hUTwxGtKUXCeQvxFdyDz9+JyCUi0lJEWojIpcB3QDTwiojU9V0KGqAxJkgicOLl7mqsrmuSjt/1Jw2nXMjtiZ9RJvbI6r/9vZcuT81i466DYQjWmPwL5gosA9dCLBw9dFNma/BRO1PV6IIEGInsCswUGxnpMOcZmPUoZLgbJ2nHtmXt2c8wdW00z379R1bVO7o14f86Nw5XpKYUCGcvxBHkY2xEVX0g2G0inSUwU+xs/Ak+uh52/Olex1eA855ifZ3zaP/EzKxqHwxpS5v6lbPZiTEFE7YEZg6zBGaKpZT98OUw+Gnc4bIWfXk6bjDPf78tq+jik+vwv0ta2YPPJuQsgYWJdwV6v2+ZJTBTLP32OXzyf3BgBwCaVJurdg5iTtrhAXbKJ8TQuHo5rmvfkHNb1gpXpKaECXsCE5HGQGPc6PBHfUVT1YkFDSrS2RWYKfb2bnFJ7I+vAFCEbypfzg2bziXVb5KK5Q92p0xc0JO3G3OUsPVCFJFaIvIVbtzDqcAE3ESPvsu4wFsbYyJK+Rrwr/eg5/8gJgFBOWfn28yv9gj9Gh7ZG/GtBfbQs4lMwXSjH4ObtfhZ4GLvd/+lc4jjM8YUFhE47ToY/B3UbAVAlb2/8fDWm1hxwXoy+2z9uXUf6RnW1GAiTzC9EPcDo1T1jsINKfLZLURT4qSlwMyHYe5zZCauhbFtuGHvILZTgcTYaB7v24oLTzwm5/0Yk4NwPsi8D/izoAc0xkSgmDjo+gAM+BQqHAvAqak/Mi3+LrpE/cTB1HRufnsRg9/4kcFv/Mi7NpaiiQDBJLBPgXMKKxBjTASofxYMmQMtLwGgquzh9bineDjmdRJJ5stlW/hy2Rbu+nAJ3/+1PczBmtIumAT2H6CBiDwjIg3FHhIxpmRKrAgXvwZ9XnMPPAP9Yr5hepnhtJRVWdX+9eoClmzYHaYgjQkiganqLlzPw5uBP4A0EUn3W9Jy3EkxZqPRm1Kn1SVwwxyo1w6AOhkb+SRxBEPLfUoUbgT7C16cw9CPllgnDxMWwXTiuBN4FNgC/AD8E6ieqg4MWXQRyjpxmFIlIx2+fx5mPAwZqQAszGjCbak3skGrAzCsZzOubd/ARu8wOQrnWIjrgZVAD1VNLeiBizNLYKZU2vQLfHQdbF8JwEEpw7BDV/NRRntAeOXKk+nRwkbtMNkLZy/EysB7pT15GVNqHXMSXP8tnHotAIl6gKfjXuHF2BeowD5uf+/X8MZnSp1gEtivgM3vZUxpFlcGznsK/vU+lK0GwPnR85kWfzcnpi22OcVMkQomgQ0DrheRNoUVjDGmmGjSDW6YB03OBaCW7OTtuIf5feLNkHYozMGZ0iKYETqvAjYC80VkHrAKSPero6o6KFTBGWMiWLlqcMXbpCx4nfQvhpIoKXTe+R57XviVRaf+j31JjSkTF03bRlVIiC1x89qaCBDsjMy50ZI4A7M/68RhzJHuHP0h/TY+xIlR7jmxQxrLo2lXMCG9G1ecXp9HercMc4QmEoS6E0eer8BUNZjbjSVOoPnAjDHOFed25rJXYrkp6kNujP6YeEllROxEOkX9wiNL/s3TZeOOqF8uIYa+pxxLZb9yY4JhE1rmg12BGXO0f/ansG3fIRI3LaDmjFuI3bsBgJ1ajqGp1/FlxqlH1L+szbE83rdVOEI1YRLObvQAiHOyiPT1lpNtWCljTKWycTSpUZ5jW59D7E3fs+/4vgBUln2MjnuGx2PHUFaSs+p/89tWHv1iBSu37A1XyKaYCyqBiUgP4C9gIfCutywE/hSR7qEPzxhTLCVUoNwVr0PfsZDgxlO8LHoWy2qOZMTJBwDYvu8Qo79dxS3v/BK+OE2xFsyMzO2AT4BKwPPA9d7ynFf2iYicWRhBGmOKqRYXww3fQ/327vU/q+m/YjAjkqaSGOOaL37/ew/Pfr2SX9bvCl+cplgKphfil0Az4HRV3ey3rhawAFiuqj1CHmWEsTYwY4KUkQHzXoRvHswaT3FHpZPo/Xd/1mkNAMrHx/DDsHNIjCvxHZlLrXC2gZ0OjPFPXgBe2avAGQUNyBhTAkVFQbub4boZUK0pAFX++YVp8fdwSfQsQNl7KI23fljHF0s288WSzXy7chspaXl5eseUVsE8yBwH5NTauserY4wxgdVqBdfPgun3ww+jKcNBnowdQ6eoX7gndRAjP11+RPV+p9flYXuGzGQjmCuwFcDlInJU0vPKLvPqGGNM9mIToecT0O9DKOduH/aM/oFp8XdzVtSSI6outgkzTQ6CSWCjcLcRvxGR80SkgbecD3zjrXu5MII0xpRAjc9xHTyOPw+AmvIPb8Y9ys+nfkPXJq7n4p5km/zCZC+YkTheE5HGwB3AWQGqPKmqr4csMmNMyVe2Klw+CX6eCNPuhtQDVF7yOiMTZrFOrmPrwUbhjtBEsKCeA1PVu3A9Ee8GRgNjgLuAZqp6d+jDixwiMkJEVEQUWB3ueIwpMUTglP4wZA7UPgWAmsl/8UncvfRN+QTN8B8z3BjHhpLKB+tGb0whSU+F754k49snicL1QEyv34HoPq9A0jFhDs4UVNi60XvtXRfksP4C74PdGGPyJzoWOt3D9DMmsDajuita8y283BaWTQlvbCbiBHML8WHgzhzW/wcYWbBwjDEGUmq1oWfKo7yX1sEVJO+C9/vDlBsheU9YYzORI5gEdhbwZQ7rvwLaFywcY4yBpMRY9pPInWmD+avjS5BQ0a34ZRK8chasWxDW+ExkCCaBVQf+zmH9VqBGwcIxxhhISjjcQfrXpI5w4zxo2NEV7FoL43rAjIddm5kptYJJYLuAnPq0HkfOI3UYY0yeJCXGZv1++3u/sj6tIlw5Gbo/AtFxoBnw3RMwtjvs+Ct8gZqwCiaBzQauE5Ga/iu8smuBOaEKzBhTetWumHjE63mrdrjxFNve5Iaiqt7crdj4E7zSHn6aANajutQJthNHOWCRiNwhIueISBcRuQNY5K17pDCCNMaULgmx0cwb2jnr9Q+rdzLr9638sz8FapwA182EM25yK1P3w9Sb4d0rYf+OMEVswiGo58C8YaPGAVWAzA0F2A4MUtWpIY8wAtlzYMYUjZMe/IpdBw63c1UpG8ecuzofnnLlrxmuZ+Jeb5KMcjWg18tumCoTccI5nQqq+ilQF+iDG41jKNAbqFdakpcxpuh0aFLtiNc79qfw17Z9hwsadXbjKTa70L3etwUmXQyf3wmpB4swUhMONhJHPtgVmDFFIyNDWb55D8s37eHODxcD8L9LTqRtoypH1CsTE0WlPz6AL+6EFC/BVWsKfV51U7iYiBDqK7Bg5gMzxpgiFRUltKhdgYplDvdKvOP9X4+qJwIP9jqLq4bMho8Gw4YfYNtv8Gpn6HIftP0/1wnElChB/YuKyOUiMldEtopIeoAlrbACDTcbzNeY8KmRlECNpPhs16vC54s3Q+WGMPAL6HgPSDRkpML04TDxQti9oQgjNkUhz7cQReS/wGPADmC+9/MoqjowZNFFKLuFaEzR2/DPAb7/a8fh7mOeNxesZfGG3TSuXo7pt3c4vGL9QvjoOvjH+76ZUAHOfwZaXFx0QZsjhPMW4k3AAqCLqlrrqDGmSNWpVIZL25Q5qvyXDbtYvGE3f2zdR0aGEhUlbsWxp7opWqbdDYvegOTd8ME1sPIrNyN0QoUifgcm1IK5hVgTeNOSlzEmklTyaR+b+9f2I1fGl4NeL8Jlb0JiZVe2+B0YdRasnVeEUZrCEEwC+xOoWEhxGGNMvnRuWj3r97U7DgSu1OwC192+kfdw9O51ML4nfPOgjadYjAWTwJ4CBolI+cIKxhhjgtWi9uFbgTv3p2RfMakW9PsQejwO0fFuPMXZT8HrXWH7H0UQqQm1YNrA0nEjzq8QkbG4nnhHzfWtqhNDFJsxxuQqPiaa8vEx7D2UxutzVjPll42UiYvmv92bHvUgNFFRcMYQaNgBPrwWtiyFTYtg9NnQ/WE4ZaDrk2+KhWB6IWbkoZqqanTBQop81gvRmMjS87nZLN985ESXZzSszDvXt81+o7RDMGMkfP/C4bIm58KFL0C5atlvZ/ItnL0QOxX0YMYYUxge6t2CN+evJSUtgx/X/MPfe5LZczCXx1Jj4qHbQ3BcV5g8BPZugpVfwKi2bjzFJt2KJniTb3lOYKr6bWEGYowx+XVy3UqcXLcSADe99TOfLd5MctpRLRyBNewAN34Pn94GyybD/m3w1iVw6rXQdSTEHd1130QGG1vFGFOiJMS4VozklDwmMIDEStB3HPQeDXFeP7WFr8GYDrDpl9AHaUIi2yswEbna+/UNVVWf1zmyThzGmHBKiHXfy5PT8tJs70METrwc6raFyYNh3TzYvhJe6wKdhkG7WyCqxDfxFys53UIcjxu05R0gxed1Tl10FLAEZowJm4RY7wosNYgrMF+V6sGAz2DOMzDrUchIg28egD+/ht6vQMW6IYzWFEROCawTgKqm+L42xphIlnUFlpqOqiL56RYfFQ1n3wGNOsFH18OOP2HtXDeCx3lPQatLQhy1yY9sE5h/pw3rxGGMKQ4y28AyFFLTlbiYAjzXVfsUGPwdfDkMfhoHh3bDR9fCymkukSVWDE3QJl+sE4cxpkRJjDvcTnXN+IUF32FcWbjgWbj8bSjjTaS59AMY1Q7WzCn4/k2+WQIzxpQox1Uvl/X7nD+3cyAlRNMUNu0JN8yDxt7zYXs2wPjzYfr9kJbDEFam0FgCM8aUKB2aVKP7CTWyXu9NDuE8u+VrwL/eg57/g5gEQGHus66n4rbfQ3cckyeWwIwxJYqIcH6rY7Je7zkY4tHmReC061zbWM1WruzvxW48xR9eddNDmyJhCcwYU+KUTzjcP21PKK/AfFU7Hq79BtrdCgikJcPnd8Bbl8K+rYVzTHMES2B5JCIjRERFRHEj8RtjIlRS4uFJLi8dPY/Gwz6n45MzWbN9f2gPFBMHXR+AAZ9CUh1X9sdX8HJb+P2L0B7LHCXPCUxEVonIhTmsP19EVoUmrMijqiNUVVRVgAbhjscYk71jK5UhJsp1n0/PUFLTlTU7DvDF0r8L54D1z4Ib5kKLvu71ge3w9uUw9VZICXHSNFmCuQKrD5TLYX1ZoF6BojHGmBCoVj6ecQNP5caOjbixYyOivWS2N7kQZ19OrAh9X4c+r0F8kiv7aZxrG9v4c+EdtxQL5S3EGkA283kbY0zRat+4Gnf2aMqdPZpmtYntO1RI7WG+Wl3irsbqtXOvd/zpZn3+7knIyOfwViagHKdTEZGzgY4+RX1E5LgAVSsDlwO/hCwyY4wJkXLxMew6kMq+wurQ4a9iXeg/FeY+BzMfduMpzngI/vga+oyGSvWLJo4SLrf5wDoB93u/K9DHWwL5E7gtRHEZY0zIlIt3H3V/70nmjy17AahbpQzxMYU4unxUNLS/HRp1hg+vhR1/wPr53niK/4NWl7ku+SbfRHN4ZkFEKgAVcSPQrwJuBT72q6bAPlXdWTghRh4RqQ+sXr16NfXr1w9zNMaY3PQd9T0/rv3niLIaSfHMvKMjZeKCmZg+n1IOwPThbo6xTCf0hvOfcXORlRJr1qyhQYMGAA1UdU1B95djG5iq7lbVtd6BOgHveK99l3WlKXkZY4qflnUqHFW2Zc8hlm3aUzQBxJVxg//+6z0oW82VLZvsxlNcZeOk51eeO3Go6reqetTTeSJyioh0FZGE0IZmjDGhMfTcZowbeCov/qs1d3RrklV+IJhZm0OhSXc3nmKTHu71no0wsRd8dS+kHSraWEqAYJ4Du0NEpvqVvQX8AEwDlohIjYAbG2NMGMXFRNHp+Oqc3+oYujQ7/DF1oCh6JforVw2ueMfdPoxJBBS+fwFe7QJbVxR9PMVYMN3oLwfWZb4Qkc5e2TvAMKAWcGdIozPGmBAr69Pmtb+or8AyiUCba2DIbKh1kivbsgTGdIQFo208xTwK9kHm33xeXwRsBq5U1ceAV4ALQhaZMcYUgjLxh3sehmyqlfyq2hiu/Rra3wES5cZT/OJOePNi2FtIo4aUIMF0vynLkQ8qdwa+1sPdGJcDN4QqMGOMKQy+V2Bz/tie9XtsdBTnNKtBtfLxRRtQdCx0GQ7HdYGPBsPudfDXN248xQufh2Z2XZCdYBLYRqAVgIjUA5oDT/usrwRYK6QxJqIlxEYRJZCh8NXyLXy1fEvWuo/qb+D9IWeGJ7B6Z8INc+DzO2HxO3BwJ7x7JbS+Cno8BvE5jeRXOgVzC3EqMEREXgQ+wCWrz3zWtwDWhC40Y4wJPRHhota1A65btS3MA+8mVHAjdfQd634HWPQGvHIWbPgxvLFFoBwfZD6iokglXOLqhEtet6rqaG9dIq497HVV/U8hxRox7EFmY4q/XQdSSM9wn39Pfvk77yxcT4XEWH69v1uYI/Ps3gCTh8Ca2e61REOHu6D9fyC6CB6+LgRF+iCzL1X9R1W74EbmSMpMXj46AA8XNCBjjCkKFcvEUaVcPFXKxWcNNZWWnhHmqHxUqANXfwJdR0JULGg6zHoExp0LO0vszFVByVMCE5FyIjJDRAap6h5VPWJOAlU9qKq/2ogcxpjiKDrajUmYlhFh3dejoqDdzXDdDKjW1JVt+AFeaQ+L3iz13e3zlMBUdR9waiHHYowxYREb5T4KIy6BZarVCq6fBacNdq9T9sHHN8F7V8OB0nvdEEwnjl+AZoUUhzHGhE20z+zNee0XUORiE6HnE9DvQyjnjSay4hMYdSb8NSO8sYVJMAnsfuA6EelUWMEYY0w4xEYfntYkYq/CMjU+B274Ho4/z73euxne6A3ThkJqcnhjK2LBdGW5EjeU1Nci8iuwkqNnYFZVHRSq4IwxpihERx3+Lp+eocQW4jRhIVG2Klw+CX6eCNPuhtQDMP9lN7L9xa9CjRPCHWGRCCaBDfD5/SRv8aeAJTBjTLHiewWWmp5BQsRnMNx4iqf0h/pnwUfXwcafYOsyN57iOSPg9BtcJ5ASLJhu9FF5WIrBv7oxxhwpsw0MyHo2rNio0giu+RLOvtONp5ieAl/eA2/2hj2bwh1doSrZ6dkYY/IgJsr3CqyYJTBw4yl2HgYDp0HFeq5s1SzXwWP5x2ENrTBZAjPGlHox0Ue2gRVbdU+HIXPgpH7u9cF/XFf7KTfCob3hja0QZNsGJiJjcW1a16tquvc6NxHfiUNE4nFTv3QFygM/A/+nqsvCGpgxJmyio45sAyvWEpLgopehcTeYegsk74JfJsHaudB7jEtyJUROnTgG4BLYDUA6R3biyE5x6MQRA6wCzsCN33gLMAVoHMaYjDFh5NuJo1hfgfk64SI49jQ3nuLqb+GfNTCuB5z9X7dEx4Y7wgLL9hZiZqcMVU3xeV3sO3Go6n5VHamqG1Q1HXgRaCQiVcIdmzEmPHy70adlFPMrMF9Jx8BVU6D7IxAdB5oB3z4OY3vAjr/CHV2BZZvARGSsiJzu8/psEakWyoOLSB0ReU5E5ojIPhFREemYTd1yIvK8iGwWkYMi8qOIXBiCMM4EtqrqjhDsyxhTDMVGFaMHmYMVFQVtb4LrZkL15q5s449uPMWfJhTr8RRz6sQxAGjk83omrt0olI4DrgD2Ad/kUncy0A+4FzgPNwP0ZBHpmd+Di0hFYDRwT373YYwp/nzbwEZ8soxHPl9Bcmp6GCMqBDVbuCR2xo3udep+mHqzmzRzf/H8/p5TG9h2oIbPa8muYgF8p6rVAUTkIiDgFZWXpM4B+qjqZK9sJtAQeAr43KfuF0D7bI73oKo+4dVLwLV9faqq2XZQ8ZJcRb/iegAbNmzI6b0ZY4qJvdt3krbbzcw8Z9EW5iyCauyha/MauWxZDDUdDIkt4avhsH8rzP8EFn8P3Ua6h6ILkc9nZkiam7Kd0FJEpuASwUTgH2AE8BGwOIf9qaqOzFcgLoFNBjqp6iy/da8ClwCVVTXDp/w6YAxwgqouD+JY0cCHwH7gSs1h9E4RGYEbB9IYY0xonKuq0wq6k5wSWH1gAnAW7upLyf0qTPPbkSOXBDbP2/eZfuWnA/OBy1T1vSCONRaoDZzvP7dZgLoVOfoKrCHulmcH3PiQpVkdYDbuy05pvyS1c3GYnYvD7FwcVhf4FjheVVcWdGfZ3kL0pnvuICJxQE1gDXArEI7HuqvgBg/2t9NnfZ6ISD1gIJAM/COSlZPPVdXZ/vVVdRewy28fmb+uC8W02MWZz7nYYOfCzkUmOxeH2bk4zOdcpIRif7kO5ut1o18nIhOABaq6NhQHzoecusrkuRuNF39htOcZY4wpQnkejV5VBxZmILnYQeCrrMrez9I7JakxxpRSxWUsxGVAMxHxj7el93NpEcdjjDEmzIpLApuM60hxgV/51cDvwfRADJFdwAP4tY2VUruwc5FpF3YuMu3CzkWmXdi5yLSLEJ6LbHshFhUR6ev9eipwJ667/jJgv6p+4dURXK+/Vl6d1UB/XALrpapTizhsY4wxYRYJCSy7ANaqan2feknAI0Bf3NXYctyDyVMKOURjjDERKOwJzBhjjMmP4tIGViQKMmCwiDQSkSkisltE9orI5yLSvLBjLiz5PRcicpY3EPQvIpKawxV2sVGAc3GtiHwiImu97f7w9hPSQbGLUgHOxSARmSsi20QkRUTWi8jbpfH/iN8+RERmeAOZP1tIoRa6AvxdjPDeu//yd16OawnsSPkaMFhEquOetK+Pa5u7AtfF/1sRqVOYARei/A6e3AXoCPwJ/FKI8RWl/J6LB4A9wFCgB/A0cCmw0BvhpTjK77moCnwNXIcbFHw4cBKwQESOK7RoC1coBhi/DmhaCLEVtYKei65AW58lb9upqi3uNmpP3APRvX3KBJgDrMhl2yeAg8AxPmVVcB9eo8L93or4XET5/P6s+xML/3sK07moHqCsg7e/f4f7vRXluchmf029/d0X7vcWjnOBG85uF3Cxt69nw/2+ivpc4DrtKVAxP8e2K7DDegO78RkqS90ZngA0zeVWR29guqpu8tl2BzAV6FM44RaqfJ8L9RlsuYQoyLnYGqB4ofezOF6ZF+T/SCDbvZ85jkcaoUJxLkbhZuT4sHBCLDKh/rvIM0tgh7UAlgf4AF7ss/4oIpKImzct0MPUi4Hq3i3G4iRf56KECvW56Oz9LI4P3xf4XIhItIjEi8jxwGvAFtwHXXFToHMhIlcAnYCbCiG2ohaK/yMrRCTda0N7Na+fmZbADqtC4CGpchswuBLucjk/20aq/J6Lkihk50JEKgPPA38AeZ49IYKE4lxswQ2k/RvQDDf7xKacN4lI+T4XIlIVeA4YpqrrCyG2olaQv4u/cBMKD8S1g70MXA7MF5FKuR04z2MhlhIFGTA4JIMNR5CS9n4KosDnQkTK4CZQrQycraqHQhBXOBT0XHQBEnFTEt0KzBSRLqq6LASxFbX8novncYMxvBjacMIqX+dCVd/wK5ohIvOBr3BXpw/ldFBLYIfld8Dgf3D/QCVpsGEbPPmwAp8L7zbzJ0BroLuq5jQpbCQr8LlQ1V+9X+eLyCe4q9FHgF4hibDo5OtciEhX4DLcreQkn+lFAOK93qn7VDUtdKEWupB+XqjqdBHZjOuNmCO7hXhYvgYMVtWDwCoC3+dtCWzLpjE/ktngyYcV6FyISAKucbstbgLV70MfYpEJ6d+Fqu7DdbduEoLYilp+z8UJuM/dWbgvv5kLwBDv93NCGmnhK4zPiygg1w5hlsAOK8iAwZOBriJSM7PAa++4APgoxHEWhUgbPDmc8n0uRCQed9uwPW7Mzm8LKcaiEtK/C+//yIm4ZwaLm/yeiw9wnTf8F4APvd9/CHWwhSzUfxfdgBrA/Fwrh/sZgkhZcB0xZuC69l6D+0Maj/sWcIFPvVn4Pdvkney/gZ9xt0LOA+bhLq3rhvu9FfG5qIYbr7Iv8Cnu9mrm6zbhfm9FfC6meu//AeAMv6VRuN9bEZ+LX4D/AOd72w3GfXM/AJwW7vdWlOcim/0V5+fACvJ3sQi4DfcsWVfgfmAv7tZyxVyPHe43H0kLkIRrWP0b11PqZ+AivzoB/yCBxrhbRXuAfcAXwAnhfk9FfS5wo3BoNsv4cL+vIj4X2Z2H0nguXsHdStqDe+5rAzAJaBHu91TU5yKbfRXbBFbAv4u3vWS1H0jB9Up8Bqicl+PaYL7GGGOKJWsDM8YYUyxZAjPGGFMsWQIzxhhTLFkCM8YYUyxZAjPGGFMsWQIzxhhTLFkCMxHPm2J8fLjjCAWfKdTr+5QN8Mo65nOf9b3tR4QmyiP2XVVEJorIJu8Ys0J9DGPyywbzNcaHl0Q64h4q3RXOWCLEU7jBZx/Gjfm5JbzhGHOYJTBTHCQC6UV0rI644WzG46Z7L+26Al+q6oPhDsQYf3YL0UQkEUkUkRgAVU1W1eI47XxJUJM8TochIuULORZjjmAJzOSJiJzrtYHcnM36eSKyTURivdenich4EVkpIgdEZK+IzBWR3gG2He/tu5qIjBWRLbix0ep4649qAxORy0TkExFZJyKHRGS7iEwRkVYB9r9GRGaJSFMR+cyLZbeIfOA3g8B43NUXwGrvuLm2LQXzXoMhIvEico+ILBORZBHZJSJTRaR1EPu4TETmeDEdEJEFItI3D9uNEBHFDdTa3+dcDPDWq/eeu3j734cbvDhz+zYiMtn7dzkkIr+LyLDMLyV+x+olIou897heRB4Uka6+x/ONybf90GfdmkDtcyJyjoh85Z27ZBFZLCJDsts+t78Rn/pJIvKwiKzw9rvDOw+Xe+uf92JtHGDbWiKSJiKvZ3P6TR7ZLUSTV18Bm3FTJDzvu8L7T3oG8LzPlVJvoCnwHrAWN+Fdf+AjEemnqm8FOMZ03GCgI4GyuEGRs/N/uCuDMd42jYDrgbkicrKq/uFXvzZuMNHJwH9x03gMxg1C2s2rM9p73Rs3QvZ2rzy3CSjz815z5H0RmAacCbyBGyi1AnCd9x7PVtUfc9nHQ8Awbz/DcaOD9wbeF5H/U9WXctj8I9w0J28As3HnGcB3PrM2wMXAq8AEn+P2xJ3nP3FtaDtx86E9CJwEXOJTtzduGpE13vo03PTy5+f03vJCRK7HDSI8H9eGtx93S3SUiDRS1f/6bZKXvxHETTo5Bze31wfAKCAaN2Hp+cA7uL+lf+NGZx/qd5z+Xn1LYAUV7lGMbSk+C/AkbtTs5n7lI73yk33KygbYvgzwO7Dcr3y8t/2b2Rz3qNHbs9l/M+AQ8LJf+RpvH5f6lb/klTf1KRvhldUP4rwE816P2j8wwCvr6FN2m1fW3W/7JGAdMMunrL5Xd4RP2cle2SMBYpuCGxW+fB7eW8CR8zk8qv45fuUJuC8U3wExfusy31NH73W09162A1V96lXAfRFQYEBe/m28f2Pfc1ILNyr6WwHqPodrU23kt31e/0Ze9squD7DvKJ/fvwc2BTgPK/3/LmzJ32K3EE0wMr9lX51ZICICXAksVdWfM8tVdb9PnTIiUgX3oT4DN3trUoD9/y+vgWTuX5wkEakKbMMljdMDbLJJVd/zK5vh/Twur8fNKRYvnry+19xcCfwG/CSuK3tV7z3G4a5UzxKRxBy274f7kJ3gu723j0+A8uRhyvZc/KqqX/uVdcXNjzcOqOh33M+9OplXM6cAxwLjVDXzahdV3Y27ciqIvkA88HqA9z8V13zSxW+bXP9GxM06fDmwAnfleQRV9Z1FeAwukZ6bWSAiZ+OmXrKrrxCwW4gmz1R1qYgsAvqJyD3ef9azcVcAR9yOEZHqwEO4CT6rB9hdRdxVgK+VeY3Fawcaies1WNZv9eoAm6wKULbD+1klr8fNJpb8vNfcNMP1vtyWQ52qwPocthdcEsxOjSBj8hfo36uZ93NsHo7b0PsZKMaCzvqdGYd/gg0UR6a8/I1UBSoB09S7nMrBu8CzwCAOtw8Ows17NTGXbU0eWAIzwZqA+0/ZGffhcDXudsykzAreVdlXuA+R54GFwG6v3kDgXwToQKSqB/ISgIjUxd2i2oNLYr/j2jfUi61cgM1y6oYveTluNrHk673mZdfAEuD2HOrklNwEdz7OJfv3viwfcfkK9O+VeS7/i5uFOZBNfnUDJYJA/yY5JQz/z7LM7a/Gtd0G4p+w8vI3klPMR1DVgyLyJjDY6whyAHdl+Imq5vRvZ/LIEpgJ1lu4trCrRWQu7j/kdFX1/ZBohWsAf1BV7/fdWESuDUEMvXFJ6kJVnem3/yq4drD8CnaG18J6r38A1YAZfrelgtm+B7BOVVcUII78HBdgf4Dbi/7+8n42C7AuUFlmd/7KuDYrAEQkAXer7s8AcWzPQxzB2Ab8g+uMkhdjgJtwiXQ37tay3T4MEWsDM0Hxvjl+AfTBtbMk4dMDzZP5TfaIb9Ei0gKXfAoqu/1fh3tuqSAyez5WLmAsBX2vE3HvJeAVmIjkdvvvDe/nIyISHWD7QLc6Q+FLYCtwt4gcdQ7FPd+X+bzYT8AGYKDXNpVZJwk4qqs7h29ZnuNXfhtHf5a9h/si80CgtkIRqSAi8Xl4P0fwvky8DTQXkUEB9it+9RcDP+B6Iw7CdVr5KtjjmsDsCszkxwTgQlwX6d3Ax37rV+BuT90pIpm98ZrguiQvxfWQK4gvcLdj3hCRF3HfiNsBPXHf6gvydz3f+/m4iEzC9WRbqqpLs6lfWO/1OVyHiCdFpDOuM8EeoC6u80Ey0Cm7jVV1oYjcDzwA/CIi7+Nu3dXCdZ7oiesQElKqul9Ersb1dPxdRMbirowq4h416INL7LNUNV1EbsMlmx9E5FVcN/prcG1Pdf12/zWuvexB70p7NXAW7hGO7b4VVXWDiNwAvAasEJE3cD0bqwEtgYuA5vhcyQXhXtwt9NdEpBuuS73gutHHAFf51R/jxQHwQD6vqE0g4e4GaUvxW3AffDtwt9tezaZOPeB93C2XA7hvob0J3I18vPtTzPZ4gbrRn4374NiLG/LpM6AF7jmeNX511+DTxdqnvCN+XbW98jtx7SOp+HVPD8F7DVQ2AL9u9F55DHAzrl1tv7f8gWtv7OZTr352cQLn4a6KduKuSNbjvgDckMd/65y60R9V7rO+BfAmsBHXaWELrlv5cKCyX90+uPayzPhG4pJ3oH+bJrjn2g54/+7v4Z7fyu7fuB3uua6tXhybgJnAf4CEAvyNVASewCXnFNz/h9n4dcP36pblcLtovXD//y1Ji3gn2BhjIoa4QZVnAgNVdXxYgykg71blZmChqnYPdzwlibWBGWNM4eqH63o/OtyBlDTWBmaMMYVARC7A3V4egXuuzb+t2BSQJTBjjCkcLwDH4HpbXquqRTUlUKlhbWDGGGOKJWsDM8YYUyxZAjPGGFMsWQIzxhhTLFkCM8YYUyxZAjPGGFMsWQIzxhhTLP0/g6dPqBmNxPUAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def plot(df, vaf_label, coverage_label, title, alpha): \n",
" # read coverage \n",
" df['log10_coverage'] = np.log10(df[coverage_label])\n",
" ax = df.hist(column='log10_coverage', bins=100)\n",
" ax = ax[0,0] \n",
" ax.set_title(title)\n",
" ax.set_xlabel('log10(read coverage)')\n",
" ax.set_ylabel('number of variants')\n",
" ax.set_xscale('linear')\n",
" ax.set_xlim([1, 5])\n",
" \n",
" \n",
" # site frequency spectrum: \n",
" plt.figure()\n",
" df['log10_vaf'] = np.log10(df[vaf_label])\n",
" ax = df.hist(column='log10_vaf', bins=100)\n",
" ax = ax[0,0] \n",
" ax.set_xlim([-5, np.log10(0.5)])\n",
" ax.set_yscale('log')\n",
" ax.set_xlabel('log10(variant allele frequency)')\n",
" ax.set_ylabel('number of variants')\n",
" ax.set_title(title)\n",
" \n",
" # neutral expectation calculation: \n",
" counts, bin_edges = np.histogram(df[vaf_label], bins=1000, density=False)\n",
" total_counts = sum(counts)\n",
" probabilities = counts/total_counts \n",
" left_edges, right_edges = bin_edges[:-1], bin_edges[1:]\n",
" bin_centers = (left_edges + right_edges)/2\n",
" terms = probabilities * bin_centers\n",
" sum_of_terms = np.sum(terms)\n",
" partial_sum_of_terms = sum_of_terms - np.cumsum(terms)\n",
" # EQ 2 of PNAS article ( https://www.pnas.org/doi/10.1073/pnas.1516123113 ): \n",
" first_incomplete_moment = partial_sum_of_terms/sum_of_terms \n",
"\n",
" neutral_expectation = np.exp(-alpha*bin_centers) # EQ 2 of PNAS article\n",
" \n",
" # compare first incomplete moment with \"prediction\"\n",
" plt.figure()\n",
" plt.plot(bin_centers, first_incomplete_moment)\n",
" plt.plot(bin_centers, neutral_expectation, label=f'exp(-{alpha}*VAF)')\n",
" plt.yscale('log')\n",
" plt.xscale('linear')\n",
" plt.xlim([0, 0.5])\n",
" plt.ylim([1e-2, 1e0])\n",
" plt.xlabel('variant allele frequency')\n",
" plt.ylabel('first incomplete moment')\n",
" plt.legend()\n",
" plt.title(title)\n",
"\n",
"# epidermis data: \n",
"# https://www.pnas.org/doi/suppl/10.1073/pnas.1516123113/suppl_file/pnas.1516123113.sd01.xlsx\n",
"plot(\n",
" df = pd.read_csv('pnas.1516123113.sd01.reformatted.csv'), \n",
" vaf_label = 'vaf',\n",
" coverage_label = 'cov',\n",
" title = 'epidermis',\n",
" alpha = 10\n",
")\n",
"\n",
"# sperm-seq data: \n",
"# https://quinlangroup.slack.com/archives/C01RESNBTG8/p1662580084578029?thread_ts=1662503053.367609&cid=C01RESNBTG8\n",
"plot(\n",
" df = pd.read_csv('clonality_analysis_df.txt', sep='\\t'),\n",
" vaf_label = 'AF',\n",
" coverage_label = 'depth',\n",
" title = 'sperm',\n",
" alpha = 10\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "4dff0d39",
"metadata": {},
"outputs": [],
"source": [
"# Observations:\n",
"\n",
"# 1. the VAF distribution extends to lower VAFs in sperm than epidermis\n",
"# because the read coverage is higher in sperm vs epidermis\n",
"# 2. there is a dearth of variants with VAF > 1e-2 in sperm, \n",
"# resulting in little \"exploration\" of the first incomplete moment \n",
"\n",
"# Possible next steps \n",
"\n",
"# 1. determine whether VAF distribution can be extended up to VAF = 0.5 in sperm,\n",
"# in order to explore more of the first incomplete moment\n",
"# 2. compare first incomplete moment for PAE with that for non-PAE \n",
"# 3. track first incomplete moment over time "
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "fbd662bb",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.7"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 5
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment