{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import os"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "where = os.path.join(os.getcwd(), 'data')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Main figure"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Network - Embryo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109c2d790>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "areas = np.loadtxt(os.path.join(where, 'lumen.dat'), usecols=3)\n",
    "lumen_type = np.loadtxt(os.path.join(where, 'lumen.dat'), usecols=4, dtype=int)\n",
    "coordinates = np.loadtxt(os.path.join(where, 'lumen_coord.dat'))\n",
    "edge_list = np.loadtxt(os.path.join(where, 'lumen_lumen.dat'), usecols=(0, 1), dtype=int)\n",
    "\n",
    "color_list = ['blue', 'red', 'green', 'orange']\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "for i in range(len(coordinates)) :\n",
    "    plt.scatter(coordinates[i, 0], coordinates[i, 1], s=areas[i]*300, color=color_list[lumen_type[i]], zorder=1)\n",
    "for k in range(len(edge_list)) :\n",
    "    plt.plot((coordinates[edge_list[k, 0]][0], coordinates[edge_list[k, 1]][0]), (coordinates[edge_list[k, 0]][1], coordinates[edge_list[k, 1]][1]), color='k', zorder=0, linewidth=3)\n",
    "\n",
    "plt.axis('equal')\n",
    "plt.axis('off')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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rMdyttZf15YWstRbo0zUiIiKB9vd3t/DkxxV855ixnDK9sPcLIpBGy4uISMR48qPt/P7VDZw5cwTXnTAx1OWEzIDD3RhzhDHmyEAUIyIi0l8vfFLFTc+t4sgJufzxKzOJijKhLilkArG2/Fv4PiQMr9EKIiISNv710XZuem4Vc0uyuOeiA4mLGd4d04EI9+OA4fvxSEREQsZay2//t5573yvjqAm53HPRbBLj1NYccLhba98LRCEiIiJ94XR7+Mlzq3l6aSUzizK47+uzh92Ut54EdctXERGRQNjR1Mmhv30LgO8fN57vHzd+WN9j/yK/wt0Y8zFg93eOtXZuQCoSERHZj1dW7eS6p1YAcOf5szhz5ogQVxR+/G25r2HvcM8EDgU6gfmBLEpEROSLGtq7uO3ldTyzrJKZo9L5y9dmUZKTHOqywpJf4W6tvXRfzxtjUoD/Ah8GsCYREZE9vF7Lf5ZW8Jv/rafN4eaaY8bx/ePHExs9vEfE78+A7rlba9uMMX8C7gLuD0xJIiIiPh9uruN3r21gRUUTB5Vk8qsvTWdiwfBbTravAjGgLgNfF72IiEhALNveyO2vb+T9zXUUpifwhy/P4NwDR2nQnJ/8HVB36j6ejgMmAz8E3g5kUSIiMvx4vJY31u7i/gVbWbKtkazkOH562mQuOng0CbGa4tYX/rbcX8I3oO6LH5lcwAvANYEsSkREhpeG9i6+fM+HlNW2MyozkZ+fPoXzDioiJV4ztvvD3z+1Mft4zgHUdO8GJyIi0m8Lt9RTVtvOT06dzGWHlRCjwXID4u9o+W2DXYiIiAxfNa0OAM6dPUrBHgD6ExQRkZD7cEs9ABmJsSGuJDIEYstXlzHGHYhiRERkeHpjbTWARsMHSCBGKtyKdoUTEZEBmFSQysiMxFCXETECsSvcLwNRiIiIDE8uj5cttW0cMykv1KVEDN1zFxGRkNpU3YbLY5mklecCxu+WuzEmFTgLmAAkfPG4tfZHAaxLRESGiY+2+gbTzR6txU4Dxd8V6sbi2xwmEUgGaoGs7usbgWZA4S4iIn32UXkDIzMSGZWZFOpSIoa/3fJ3AB8D+fgGz52KL+gvAtqArw5KdSIiEtG8XstHWxuYNyYr1KVEFH+75ecCVwDO7p/jrLUe4AljTA7wF3x7u4uIiPjtk8om6tq6OGJCTqhLiSj+ttwTgBZrrRdoAEZ85thqYGagCxMRkcj3+ppqYqIMx07MD3UpEcXfcN8IjO5+vBz4pjEmwRgTC1wO7BiM4kREJHJZa7nn3S1MyE8lPUkr0wWSv93yTwIHAI8CPwNeA1oALxANXDoYxYmISORaXdUCwEElGiUfaP5uHHP7Zx4vMsZMA07GN6juLWvt6kGqT0REItRTSyqIj4ni2hMnhrqUiNOvFeqstRXAPwJci4iIDBMOl4fnP6nilGkFpGuzmIDr8Z67MWaGMWavxWr2p/ua+IGXJSIikezllTtpdbg5b05RqEuJSPsbULccmOHvCxljoruvmTrQokREJHJZa/nHgjIm5qdyyNjsUJcTkfbXLW+Ac40xc/x8La1TLyIivXp3Yy3rd7Xyx6/MxBhtKjoYervnfkNQqhARkWHjnne3UJCWwJkzR/R+svRLj+FurVVLXEREAur9TXUsKmvgZ6dPIS5GMTNY9CcrIiJB4fVafvfqekZmJHLRwcWhLieiKdxFRCQonvhoO6uqmrn2hAnEx0SHupyIpnAXEZGgeHzxdgC+NGtkiCuJfP1axEZERKSvSnOTcbo8REdphPxgU8tdRESCornDRYY2iAkKhbuIiARFi8NFmpaaDQq/u+WNMSXARcAEfPu7f4619ryAVSUiIhGn1eFmdHZyqMsYFvwKd2PMbOA9YDu+cF8JpAMlQCWweZDqExGRCNHS6SItQUO9gsHfbvk/AP8BpuFblvZya20pcDhggd8PTnkiIhIJrLW0OFykJqhbPhj8DfcDgH8B3u6fEwCstR8CvwB+G/jSREQkUjhcXlweS1qiWu7B4G+4W6DLWmuBGmD0Z45VAOMDXZiIiESO2lYnALkp2hU8GPwN97XA2O7HC4EfGmPGG2NGAz8CtgxGcSIiEhmqWx0A5KftNR5bBoG//SP38Wlr/SbgdWB998/twJcDXJeIiESQ6haFezD5Fe7W2kc/83idMWYycAiQCCyy1tYMUn0iIhIBqlt83fJ5qeqWD4Z+jWyw1rYBbwS4FhERiVA1rQ7ioqO0Ql2Q+L1CnTFmhjHm38aYLcYYpzHmwO7nbzPGnDJ4JYqIyFBX3ewgNzUeY7SufDD4Fe7d4b0UKAAeAT770csJfDfwpYmISKSoaOykKCsx1GUMG/623H8DPGytPQq47QvHPsE3D15ERGSfttV3MDqr56VnW90efle2k2XN7UGsKnL5G+6TgH93P7ZfONYCZAWsIhERiSjtTjd1bU6Ks5N6POe9xlbu2FbNqcs2ceayTbxS24THfjFuxF/+hnsNUNrDsan41pwXERHZy7b6DgBK9rNpjNPrC/JLRmSz0+niG6vLOfqj9bxU04RVyPeZv+H+JPBLY8zhn3nOGmMmAD8GHg94ZSIiEhG21vm62kfvp+Xu9PpWN/9OcR4L503m3qm+pVWuWFPOSUs3sqChdfALjSD+hvvPgCXAu3zaSn8BWI1vh7hfB740ERGJBI8v3gaw3275xU2+DwBRxhATZTgrL5N35k7iL5OKaXC5+cqKLXxzTTnVTldQah7q/F3Exgmcbow5DjgOyAEagPnWWs13FxGRHmUmxwGQtp8d4RKjfW3NjJjoPc9FG8NXC7M4Ky+Du7bXcOe2aubXt/DzcSO4qDBb0+r2o9dwN8bEA9cDL1lr5wPzB70qERGJGGW17Rw9MXe/56TFRBNtIDl67w7lhOgorh9TwDn5mfxoQwU3bKhkfn0Lf5pYTHacdpnbl1675btb7T8BMga/HBERiSQuj5ctNW1MLEjd73nNbg/pMdH7bY2XJsXz1AFj+cW4Ebxa18LUD1azuKkt0CVHBH/vuS8GDhzMQkREJPKU17XT5fEyqbdwd7lJ/0yXfE+ijOHqojzenDMBgLOWb+aJHfUBqTWS+BvuPwK+bYy5xhhTaoxJNsYkffZrMIsUEZGhaf0u3yj3iflp+z3P13L3v4t9WmoS6w+fxlGZqVy7oYIrV5fj1ZS5PfrSch8L3AlswrdwTesXvkRERD5n3c4WYqIMY/N6nuMOn3bL90VGbAyPzyjlzLwMXqxt4roNFVr4ppu/H5O+wd4r04mIiOzXJxVNTC5MI76X4K7ucjEmve/bwcZEGe6dMprxSfH8qbyaDo+XuyePJiZqeI+k93cq3MP7O26M8WsPP2PMg8DpQI21dlr3c1n4lrYtAcqB86y1jf68noiIhC+P17KyspmzZ43c73nWWqqdbgri+7cdrDGGG8YUkhQdza1bdhAfZfjzpGKihvFUOb+3fP0i43OcMeZ+oNrPyx4GTv7Cczfimy8/Ht80uxv7W5OIiISPLbVttDndHFC0/8lW9S4PLmv7He67fac4jxtKCnhqVyO/3LJjWC9b2+cJgsaYg4Hzga8A+fgWs/mXP9daa98zxpR84emzgKO7H/8TeAffkrYiIjKEfbK9CYADivcf7rucXQAUxA0s3AGuLcmn3uXmnopaRiXEccWo/c+vj1R+hbsxZjq+QP8aMBroAuKAa4G7rbXuAdSQb63d2f14F74PDCIiMsQtr2gkLSGGMfvZMAZgV5cvQgoH2HIHXxf9r8aPpMrZxc2bq5iSnMihmSkDft2hpsdu+e4pbz8xxqzGt2f7dcAa4OvAeMAAywcY7J9jfX0oPfajGGOuMsYsMcYsqa2tDdTbiojIIFhU1sDcMVlE9TK4bYeju+UegHAH31z4uyaPZkxiPFeuKaeq+/WHk/3dc98M/BLftLergQJr7RnW2scJ7NS3amNMIUD395qeTrTW3metnWOtnZObOzy7WkREhoKdzZ1srWvn4NLsXs/d2ukkPsoEpOW+W2pMNA9NG4PD6+WadduG3RS5/YX7Nnyt82n47okfaowZjEV8/wtc0v34Eny7zYmIyBC2cItv1bhDx+b0em5Zp5MxifEBH90+PjmBX48fxcKmdv6+vcd2Y0TqMdyttWOAQ/GNcD8OeBFfK/sf3T/3+WOQMeZfwEJgojGm0hhzOfBb4ARjzCbg+O6fRURkCPtwSz2ZSbG9LjsLUNbhpDSx73Pc/XFeQSan5abzq7KdLG1uH5T3CEf7nQpnrV1krf0eMBI4EXgeOBd4uvuUK40xc/x9M2vt+dbaQmttrLV2lLX2AWttvbX2OGvteGvt8dbahv7+MiIiEnrWWj7cXMe8Mdm93m/3WMu2zi5KkwYn3I0x/H5CEQAXrSwbNt3zfs1zt9Z6rbVvWmsvxzea/Wzgqe7vi40x6waxRhERGULW7WxlR7ODYyb1PjaqwtFFl7WD1nIHyI6L4W9TRtPo9vDoMNlkps+L2FhrXdbaF6y15wN5wMX41psXERHhzXXVGAPHTup9ZvPq1k4ApqQkDmpNZ+dlcHhGCjdurBwWo+f7vUIdgLW2w1r7hLX2zEAVJCIiQ9v8ddUcUJRBbmrvrfHVbZ1EG5iUnDCoNRljuHW8bxnc/9tYOajvFQ4GFO4iIiKftbO5kxWVzRw/2b/1yFa2djAxKYGE6MGPo8kpiVw2Mof5DS1s6XAM+vuFksJdREQC5tevrAdg9ujMXs+11vJWQyvFiXGDXdYe15bkEx8VxW1bdvZ+8hCmcBcRkYDZ0dTJiPQE5o3J6vXciu5734lRwYui3LhYzs7L4JW6Zj6O4KlxCncREQmIioYOlm5r5MKDR2P8WJBmUXe4XjM6uFuK/F/pCADuq4jcZcwV7iIiEhAvfFIFwFkHjPDr/A8b28iMiWbyIA+m+6KcuBi+W5zHy7VNlHU4g/rewaJwFxGRAbPW8uzyKg4qyWRUZpJf13zY1MbBGSkBX3bWH1eOyiU2yvC3CF2WVuEuIiIDtrCsnrLads6bU+TX+ds6nWx3dHFoRmi2Y82Lj+WrBVk8tauB2i5XSGoYTAp3EREZsMcXbSc9MZYzZvrXJf9aXTMAJ+SkDWZZ+3X5qFy6rOXJnZG36rnCXUREBqS6xcErq3dy3pxRJMRG+3XN/+qamZScQMkgLjvbm4nJCRySkcyjO+rxRtia8wp3EREZkBueXom1cOG80X6dX+N0sbCpnfFJwR1Ity+XjMhhu6OLtxtaQ11KQCncRUSk39qcbt7bWEtaQgwlOcl+XfN8TSMAVxX1vrHMYDs1N53cuBge3VEX6lICSuEuIiL99viibQA8evk8v8631vKvnQ0ckJrEQen+fRgYTHFRUZybn8mb9S00uNyhLidgFO4iItIvDpeHfyzYyhHjc5hZlOHXNctbO1jX7uBrhb2vYBcsX87PxG3hxZqmUJcSMAp3ERHpl4c/LKeuzck1x4zz+5q/ba8hLcbXWg4XU1MSmZicwDPVjaEuJWAU7iIi0meN7V3c/fZmjpuUx7zSbL+u2drh5OXaZi4ZkUNqjH+j6oPBGMO5+Zl81NzOts7IWLFO4S4iIn3217c20+508+NTJvl9zZO7GogyvtXhws3Z3T0J/42QrnmFu4iI9Mn6XS08srCc8+YUMSE/1e/r3q5vYU5aMnnxsYNXXD8VJcQxIzVxz+I6Q53CXURE/ObxWm58ZhVpibH8+GT/W+31XW5WtXVydJb/HwaC7ZScdJa2dFDtHPrL0SrcRUTEb7e9vI5PKpr4+elTyEyO8/u6BY2tWOCozPAN95Nz0rHA6/VDv/WucBcREb+U1bbx4AdbiY02fm/ruturdc1kxUYzM82/HeNCYVJyAsUJcTyza+iPmle4i4hIr5xuD9/913Kiowzzrz0a04dtWtvdHl6ra+aM3AyiQ7C9q7+MMSRHR7GouZ12tyfU5QyIwl1ERHr12/+tZ82OFu65aDbF2X1rfb9Q00Sn13JOGM1t78mPxxQCsLC5PcSVDIzCXURE9us/Syp46INyLj20hBOm5Pf5+ms3VACExXKzvTkqK5X4KMN7Q3wjGYW7iIj06OPyBm56bhWHj8vhJ6dN7vP1mzscAJxfmEVUGHfJ75bxG1nVAAAgAElEQVQYHcXB6Sm826hwFxGRCLR+VwtXPrKEoswk7r7gQGKj+x4ZD1fVEWsMN5UWDkKFg+PIrFQ2tDvYNYSnxCncRURkL2W1bVx0/0fEx0Tx8GVzSU/q+8IzLW4P/97ZwJl5GeTGhd/CNT05KjMFgPeGcOtd4S4iIp+zuaaVC/6xGGstj19xcJ8H0O12f2UtrR4vV4fBvu19MSUlkezYGBYo3EVEJBIs3dbIl+9ZiNtreeyKeYzLS+nX67S4PdxbUcvJOWnMSA3fue37EmUM89KT+ahp6I6YV7iLiAgAr67exYX3LyI9MZZnv3UokwvT+v1a91XU0uz2cF1JQQArDJ656clsc3QN2aVoFe4iIsOcx2v5/avr+eZjS5mYn8rT3zy0313xAFWOLu7eXsNpuelMH2Kt9t3mZvim7X00ROe7K9xFRIaxHU2dfP3BxfztnS187aAi/n31IeSmxg/oNW/dsgOL5eaxfVuiNpxMT0kiMcrwUXNbqEvpl5hQFyAiIsFnreXZZVXc8uIa3B7L786dzlcPKh7w686vb+H5miauLcmnOHFgHxJCKTbKMCstmcVDtOWucBcRGWY217Rx60treXdjLXNLsvjDV2YwOnvgq8c1utxcu347E5MT+F5x31eyCzeZsdF82NRGi9tDWkx0qMvpE4W7iMgw0dzp4q/zN/Hwh+Ukxkbz89OncMmhJURHDXzlOGstN26spN7l5tEZpST0Y8GbcHNcdhov1zaztq2TgzP6N2sgVBTuIiIRrrnTxUMfbOWB97fS5nRz3uwibjh5Ijkpges2v6+ylhdqmriptHDITX3ryfFZvtkCK1o7FO4iIhIeqpo6eWzRNh5btI1Wh5sTp+Tz/ePHM3VEekDf5+XaJm7evIPTctP5bnFeQF87lPLiYymMj2Vla2eoS+kzhbuISATxei0Ly+p5ZGE5b6ytBuCkqQVcc+y4gIc6wLKWdi5fXQ7AXyYV92mf96FgZmoiK1o7Ql1GnyncRUQiwLqdLTy/vIr/rtjBzmYHWclxfPOosVx48GhGZiQOynuuaevkwhVljE6I44UDx5MyxAad+WNmahKv1rXQ6vaQOoR+P4W7iMgQ5PZ4Wba9ifnrq5m/robNNW3ERBmOnJDLjadM4qSpBSTEDl4YfdjYxiWrykiNieapA8ZSED90Nobpi93jB1a2dnBYZmqIq/Gfwl1EZAipaOjgFy+u5c11vi732GjDvDHZXHLIaE6bMYKs5LhBr+G56kZ+sH47xQlxPDlzLCMTBv89Q2VGqq/XY0Vrp8JdREQCa3NNG48sLOfJjyvocns558CRnDA5n8PH55CaEJxWs9Pr5ebNO3i4qo556ck8NH0MWbGRHSO5cbEUxMWytm1oDaqL7L8VEZEhrrrFwfX/WcGCTXXERUdx1gEjuO7EiRSkJwS1jhWtHXztky00uj18qyiXm0pHEBuA+fFDweSUBDa0O0JdRp8o3EVEwthji7axYFMd154wgQvmFQd0bro/Wtwe7ijfxb0VtXjxjYj/amFWUGsItYnJCXzYVIfHWqKHyGwAhbuISBjbVN1GaW4y3ztufFDf1+Hx8lBVHXduq6bR7eGiwmx+NraQ9Ajvht+XSckJOL2W8k4nY5OC22PSX8Pvb0lEZAhZs7OZKQPYV72v6rrcPLKjjoeq6qjtcnNMVio3lRYO2a1bA2Fyim9Q3bo2h8JdREQGpryunYqGTq44vHRQ38djLQub2nhqVwP/rWnC4bUck5XKd4rzOHwIjRAfLOOTEjDA+nYHp4e6GD8p3EVEwtSd8zcBcNi47IC/tstr+bi5ndfrm3mhpomdThcp0VF8pSCLK0blMjF5aLRQgyEpOoqSxDjWtw+dEfMKdxGRMGStZWVVM2kJMYzLG3jr2WstmzqcfNTcxnsNbbzb2EKL20usMRydlcot40ZwYnY6iRGwm9tgmJycyPohNGJe4S4iEoaWbW/y7bv+pWl9vtZayw6ni7Vtnaxtc7CkpZ0lze00uj0A5MfFcHpuBsdlp3FkZuqQWlY1VMYnJ/B6fTMurx0SUwAV7iIiYeiutzaRkRTL2bNG9nhOp8fLNoeT8o4uyjudlDu62NjuYG1bJ03dQQ4wNjGeU3LTOSg9mXnpKYxJjIu4DV4GW2liPG4LFY4uSpOCOx2xPxTuIiJhZsGmWt7eUMu3jx5LSvyn/013eb2819jGc9WNPFPduNd16THRjE2K54y8DKakJDIlOYHJKYmkqWU+YGO7A31Lh0PhLiIifeP2eLn5hTUAfOvosVhrea2uhRdrm3i9rplWjxeAozNTmZuRzJjEeEYnxjEmMZ7MYTgHPVjGJPoCvazTGeJK/KN/CSIiYeS2V9ZRVtfOXRfMIjUhloer6rhxYyWZMdGclpvBabnpHJmVSnyUBr4FU1ZsNBkx0ZR1KNxFRKQPVlc189AH5WQlx3Ha9EIAlrW0kx4TzcrDpg2JgVyRyhhDaVL8kGm566OfiEgYaO5wcc0TyyhIS+DNa4/aM+BtY7uTqSmJCvYwUJoYP2Ra7gp3EZEQc7g8XPnIEnY0OfjrBbP27Mne7HKzsrWDeenJIa5QAEqT4qlyuujoHvcQzhTuIiIh5PJ4+d6/lvPxtgZu/+pMDir5dMe1txta8QJHZWkJ2HCQG+e7k71+COztrnAXEQkRh8vD1Y8u5fW11dx8+hROnzHic8cfqKxjZHwsc9VyDwul3SPmtwyB++4aUCciEgK1rU5O/vN71Ld3cdvZ07hw3ujPHd/U7uDjlnZOz00nSgvOhIXdu8M1utwhrqR3armLiATZioomzvjr+9S3d3HLGVP2CnaAv2yrBuCX43peoU6CKzMmmqToKCodrlCX0iu13EVEgsTt8XLPu1v4y/xN5Kcl8PL3DmfqiPS9zlvb1smz1Y18qyiXEQlxIahU9sUYQ1FCHBWOrlCX0iuFu4hIEKzf1cKPn17JispmTp9RyK1nTSMzee/g9ljLdesryIyN4buj80NQqeyPwl1ERKhvc3L7Gxv510fbSU+M5a/nz+KMmSN6PP+CFWUsb+3g7snFZGk52bBTlBDHx83toS6jV/qXIyIyCDq63Dz0QTn3vLuFji4PXz+khB8cP56MpJ672T9obOXdxlZijeGc/MwgViv+KkqIo9ntocXtCesNeRTuIiIB5HR7ePKjCv761mbq2pwcPzmPG0+ZxLi8/c9V39Lh4Ko12xifFM//Zk/Qlqxhqqh7DESlo4sp3aPnw5HCXUQkALrcXp5aUsHf3t7MjmYH88Zkce/FBzJ7dFav127ucHD44vVkx8bw8PQxpIRxi3C42x3uFQp3EZHI1dDexZMfb+exhdvY0ezgwOIMfvflGRw+Lsev1vf69k6O/mgDAE/OLGVsUsJ+z7ddHTjumMXOqVeSPeNk0oumglr5QTOqO9y3d4b3oDqFu4hIH1lrWVHZzOOLtvHCih10ub0cUprNr8+ZzlETcv3uUl/Q0MoVa8rJj4vh8RmlTEtN6vWajfMfYmLnLkqX3ApLbqWBNMqSZtJQcCjxk09l2uTJZKfED/RXlB5kx0aTEGXY4VS4i4hEhIqGDp5fXsVzy6soq2snMTaar8wexSWHljAh3//13z3Wcnv5Lm4vr2Z8UgKPzRhDcaIfgWwtKVteockm87+DHmJE22qSdi5idMsy5pQtgLLfsfrFEl6On0td8cmMmjSXIybkUJgevt3HQ40xhvy4WKq7wnuVOoW7iEgvPF7Lr15ey0MflAMwb0wWVx9VyinTC0lLiO3Ta21sd3DDhgoWN7dzXkEmv5kwiuRoP++xL76HkXXv81vvhVx3ygnERp/ke95anDvXULP0v2Rveo2LWp4mastTrNtUxIOeI1iddSLTJ0/i6Am5HDQmi9hoLU46EIXxsexUy90/xphyoBXwAG5r7ZzQViQiAmW1bfz0+dV8uKWeC+cV862jxzIqs/fu8y9qdXu4e3sNd2+vITk6ijsnF3NeQe+D7QBwO+Gd38L7t/Ne1FxWFF74+YA2hvgR0ygaMQ24CdrrsGueo2TpE/yk+gm8rU/y+qI53L7gZMoSp3PK9ELOmDmCuSVZRGmf+D7Lj49lVWt47wwXNuHe7RhrbV2oixAR2dncyb3vlvHE4u3Ex0bxm3Omc/7c4j6/jsPj5Z876vjLtmoaXB7Ozc/klnEjyI3zs8W/bSE8dDIAjZO+xjc+OZXz8tL2f01yDmbulSTOvRLqNhO1/FFOWvowJzs+YlvcRG5fdipfWzyHgrREvja3iAvmFpOXtv+BfPKpgvhYXq9rwVobtlMWwy3cRURCau2OFh5dVM7TSyuxFs45cCTXnzSRvNS+hV+b28OjO+q5t6KWXV0ujsxM4f9KRzArrQ+t/qqle4KdC5/m0teTcNPED44f7/9r5IyDE36BOepHsOJJRi/6G39x3MEvsqfyj9iL+PObndz11mZOmlrAFUeMYVaxFs/pTUFcLJ1eL60eb9guZBNO4W6B140xFrjXWnvfF08wxlwFXAVQXNz3T9AiIvtS3+bkldW7eHppJSsqmoiLieKrBxVx9ZFjKcrqWxd8bZeLByvreKiqjia3h8MzUrhrSjGHZ/o/4A5HC7xyPaz8N6SOgIufZWtUMSsq3qE0J7nPHzQAiEuGgy6H2ZfCyn+T8fZvuKH2/7hm/FE8lPld7l1Vx8urdnLE+By+f9x45pT4ectgGCqM9/W67HS6wjbcjbU21DUAYIwZaa2tMsbkAW8A37XWvtfT+XPmzLFLliwJXoEiElHanG7mr6vmlVU7eW2Nb3vV8XkpnD+3mHMOHLnfZWK/yFrLqrZOHqis47nqRrqs5eScNL5XnM+B6cl9KKoGlj0CC++CzkaYejac/me88elc8tBHLC5r4L0fHUNBegC60N1O+PgBePvX4HXRddj1/JMzuOf9Curbuzh2Uh4/PW0ypbkpA3+vCLOwqY2zl2/m3zPHclRWHz60DZAxZqm/49HCpuVura3q/l5jjHkOmAv0GO4iIv31k+dW8fji7QDkpcZz8tQCTp5WwFkHjOjTPdQKRxfPVTfy9K5GNnY4SIyK4oIR2Vw5KqfXxWj2cLTAlvmw+lnY8Ap43TDuBDj2JzBiFgB/f3szCzbVcetZUwMT7AAx8XDIt2Hql+DVG4l791dcOeo1Lrr6Pv65znLXW5s59k/vMm9MFg9eehDJ8WETFyG3u+W+yxm++7qHxd+WMSYZiLLWtnY/PhH4ZYjLEpEIVFbbxuOLtxMTZfjXVQczuzjT7xHjXmv5pLWDN+tbeLOuhZVtvhHT89KT+d2EUZyVl0FGbzu5ubtg10rYvhC2vA3lC8DTBUnZMO+bcOAlkDthz+mLy+r50+sbOHPmCC46eHS/f+8epY2A8x6BNc/Bf79H4gNH882z7uLc60/iFy+u4aWVOznmj+9w1wUHMneMuuoB8uMU7v7KB57r/sQcAzxhrX01tCWJSKRp6uji2D+9C8D7Pz62T63gGzdW8nCVbzJPFDAnPZmflBZyZl4Go3tagKarA2rXQ81aqF4LO1dA1RJwO3zHs8bC3Ktg4qlQNA+iP/9fck2rg+/+azmjs5P59TnTB3dk9tSzfT0FT38DnrqY3ONu5q7zf8jXDynh+v+s4Lx7F3Ly1AL+esGsYT9PPjE6ioyYaHZ1Kdz3y1pbBswMdR0iErl2NndyyG/eAuDmM6b4HezbOp3cumUHL9U2A3D35GKOyU7b/17rDVvhvqPB0fTpczEJkDcF5nwDig/2hXlqQY8v0eZ0881Hl9LicPHI5XNJCUa3eGYJXPoKvPAdmP8LaChj7hl/4X/fP4KfPLeK5z/ZwYX3L+buCw4kN3V4L3GbFxdLjcJdRCR0nl1WybVPrQDg4csO4uiJeb1e80lLB/dX1vJCTRMxxvDjMQV8b3Q+0f60nhf9zRfsh1wDRXMhbypkjYEo/0ZWN3e4uOKRj1lR2cxd589iUkEv89oDKTYBzr3fV+97fwC3g+Sz7+XPX5vFMZPy+PEzKznotjd54TuHMbMoI3h1hZmcuBjqw3gJWoW7iES02lbnnmCff91RjN3P6O8dji7+W9PE4zvr2dThJDk6iq+PyOaa0XkUxvs5et5aKHsHSo6Ak27rc70bdrVy1aNL2NHUyZ1fm8Up0wv7/BoDZgwc+1OITfK14Le+B9eu46wDRjI2N4XT//o+Z939AU9cMY9Dx+UEv74wkBMXw9q28F2lTuEuIhHtD6+tB+CNHx65V7B7rWVlayfvNbYyv76Fxc3tACRGRXHL2BFcOCKb1L7OY17/EtRthMOv7dNlLo+X+xds5c9vbiQtMZYnrzrYr73gB9UR1/qm5H14J7xyA5x+O9NGprPo/47j6w8u5oL7F/Oz06dw+eFjQltnCOTExlCnlruISPAt2FTLU0squfrIUsZ379pW3unkw6Y23m1oZUFjKw0uDwDTUhL58ZgCzsrLpDSpn/eTHc3wvxshZwJM/4pfl1hreW1NNXe8sZEN1a2cPLWAX35pav8WqhkMJ97qmxP/0b2QOwnmXUVBegJPXX0IB/9mPre+tJaS7CSOm5wf6kqDKicuhia3hy6vl7io8BtgqHAXkYhUXtfOd55YzujiNPKnZXPN2m0sam6j0uEbBJUfF8Px2WkclZnKkVmp/q/13hOPG569Glp3wuVv7DXy/YscLg+vrNrJA+9vZc2OFsbkJHPvxbM5aWrPg+xC5uTfQHMFvPpjyJ0IpUeRkRTHxz85ngv+sZhvPb6Mhy89aFh10Wd3D6hscHkoiA+/cA+bFer6SivUiUhP7tu8i9vWVuKKj8Ib5/uPNzs2hoMzkilOiOO8giwmJScEbmqZxwX/PMM3d/3UP8LcK/d5mtvjZcm2Ru55dwvvbqzFWijNSeY7x4zjrANGEBPOU8ycbfCPY30DBb/5PqT4BiU2tnfx1fsWUtnYyTPfOpTJhUEc/BdCL9c2cfnqct6cM4FpqX3fJbA/huQKdSIigfDAxp38vKoaUmM4PjWZk0ZkcnB6CuOS4gdnnnhHAzxzuS/YZ1/6uWC31lLR0MlH5Q0s3FLPW+uraezw9RycMq2Arx9SwsGlWWG7s9jnxKfAVx7yBfxzV8NFz4IxZCbH8cg35nHW3e9zxT+X8MI1h5GTEvnT5HK6W+51rvC8765wF5GIccuHW7invZk4h5cXZo1j1qhBnqq15S14/tvQXgdn3gUHXgzAorJ6nlpSwYeb69nV4luwJj0xlmMn5XHClHyOnJAbnHnrgZY/FU76Nbx8LSx/FA78OgAF6Qncd/Eczrt3IYf+9i1W3nwiCbHhuaFKoOTE+f7+wnU63BD81yUisreHVldxT2cLsV1eXjpkIjNyBnFDj4YyeP1nvpHx2ePh/CepTZ3M/xaW8+jCbWyqaQPg9BmFzB2TxdwxWUzIS/V7mduwNvsy3zr4r/8Uxp+4ZyGemUUZ/Oac6Vz71Ap+8OQn3HPx7BAXOrjUchcRGWRtTje/X1sJmbF8cOQ0igdrpPmu1b5pYauexsYksHP2DTwdeyZvPtvCyso3AZhcmMY5s0bys9OnkJns/85yQ0ZUFJzxF/j7ofDqjfCVh/ccOufAUSzYVMdzy6t4bc2u8BwcGCBpMdHEGhO20+EU7iIypLk9Xr775HIaC2I5PDV50ILds/gfRP/verqiEnkz+Sx+13IC2z5IJ8pUMKs4k+tPnMBxk/OHx4CynHG+OfDv/AbmfQuK5+059LtzZ7Clto0b/rOCqSPSGJUZnMFmwWaMITs2Ri13EZFA63J7+eG/P+ENRwfEpfODiSMG543aamh/5ees9k7h284fMDJjBEfPzmROSRaHj8uJzBZ6bw65BpY8CG/8DL7xmm9VOyAuJoq/nj+Lo/7wDof/7m023XZKxG40kx0XHbYt98j8ExeRiNficHHVo0t4aUM17gnpGODwzEG4z+5x0fDYN4ini5+6v8H7t5zLy987gl+cNY0zZo4YnsEOvtHzx9wEFYvh4/s/d2h0djI/O30KAH98fUMoqguKjJgYmt2eUJexTwp3ERlyNlW38qW7PmDBpjomHF8MwHOzxgX+jdxd7PznZWTtWsDfk7/Fi7dcNjRHuQ+WAy7yfX/let+a+p9x+eFjuGBeMfe+W8bb62sAKKttY/n2xmBXOWgyYqNpcincRUQGxFrLY4u2cdbdH9DicPO186awyuPip6WFHJzR84Yw/dHeVMumP59K4fYXeSTpEi741k9JVrB/XnQMnPlX3+Mtb+11+OenT2FSQSrXPvUJO5s7OfnPCzj7bx8yVBdP+6KMmGia3OqWFxHpt4qGDi56YDE/fX41BxZncv3FM3mwsYnTctP5dnHvW7j6y+Xx8s6rT9Nyx1xGty7jgezrOO+Hd4TPWu/hZsZXIbUQ3vvjXocSYqO5+8IDcbq9HPKbt+jyeAHYWN0W7CoHRUasr1s+HD+s6GOoiIS1VoeLv7+zhfvf30pslOG2s6eRW5rBFWvKmZGayJ2Ti4kKwApvrQ4Xry36hOQFv+IUzztsNSPYfMY/uXz2kQH4LSJYTDyMPRY+edy31W3p0Z87PDY3hbsvPJDLHvp4z3OLyuqZWDCI6xAESUZMNE6vpdNrSYoOrzUMFO4iEraeXVbJr19ZR11bF2fPGskNJ03kQ0cnl68pZ0pKAv+eOZbk6P6vhObxWj4ub+C1xSspXPcQF5pXiTMetk66ipJzbsHEJQfwt4lgJ9zqC/fVz+4V7gDHTMzj3RuOprHDxTVPLGPhlnouObQk2FUGXHr3dsDNbjdJ0eE1sFLhLiJhx1rLHW9s5M63NjN7dCYPXHIQU0em88215bxU28whGck8PG0M6bF9/y+sxeHi8UXbWbqtgc5ty7jM9S9ujl6ONyqK5jGnkXTGrYzJGn77kw9IcjbMvABWP+NbnjZ+7/EPo7OTGZ0NB5dmM39dNV6vHfIr9mV0//trcnkoDLPl9BXuIhJ2vv7gRyzYVMdX5xRx29nT2OlyM/WD1TS7PZyWm87fp4z2ew/t5g4XL63awfaGDhaVNVBTWcZV0S9yXdRaJkdVQDS4Z1xAzFHXk5k9dpB/swg2+1JY8QSseXbPmvP7MiYnmcYOFws213HUhNzg1TcIMrpb7k1hOB1O4S4iYcXh8rBgUx0Avz5nGv+ubuTmTVV4gR+MzufHYwp63EWt1eFiVWUzq6qaWVnVzOqqZrbVdzDBVHBi1BL+mLiS8fG+edfe7PEw748w/cvEJGYG69eLXEVzIWcifPLEfsP9mIl5/OG1DWypaRv64d69OU5TGK5Sp3AXkbDyzLJKAG65eBZnLN/MspYO5qUnc+fkYkYn9tz3uaS8gS/fs3DPz6MyE5k+Mp2LD8jgig8u8D2ZdyBM+hlMPJWo/CmD+nsMO8bA9C/D27dByw5I2/dqgZMLU8lMimX9rpYgFxh46Wq5i4j0rqmjizve2MjoGbncWONb+OTOycV8OT+z1xHxjyzcBsCDl87hgKJMsnavHPfmL3zfT/sTHHTFoNUuwNSzfeG+5nk45Nv7PMUYw8yiDFZUNAe5uMDL/Mw993Cjee4iEhastdzw9EqaO11kjEsHYM1h0zivIKvXYG93unlzXTUXzCvm2En5nwY7wPu3+77P/sZglS675YyHnAnw3u/3e9rMURlsrGmlzRl+3dl9kRIdRRSE5RK0CncRCQt/mb+JN9ZW85UTx7G4vZPrSwrIjvOvc/HhD8vp6PJw3pyizx/Ytdr3vWCGb6tSGXyxSdDZ6Oua78EBxRlYC6sqh3brPcoYvMCLNU2hLmUv+tcuIiH3xOLt/PnNTZw2ZySvxroYnRDHd/xcda6ioYO/v7OF4yblcUBRxqcHrIXXboL4NLjkv5+7pr2pkar1a+lsaw3kryEAZ93t+775zR5PmTnK9/e0ojL8QrE/GsNwCVrdcxeRkGpzuvn1K+s4eHwOz2QDThdvzJlAoh/bhLo8Xq57agUAt5w59fMHP74ftr4Lp98BXxgNf8/VF+95nJyRSfaoYrKLiskZNdr3eFQxCSmBXat+2MifCqkjYNMbPY6az0qOozA9gfU7h/6gumkpiYyIjw11GXtRuItISD2/vIpWj4fqyWngdPL3KaOZnprU63XWWn78zEo+Km/gz189gKKsz1yzdQG8eiOMOwFmX/a569qbPt2V7MgLL6O+cjt1FdtZ9dbruJ3OPceSM7PIHlnUHfZFREXHkDdmLHklpT1OxRN8o+bHHQdrXwCPC6L3HXyTClJZv2vo95ykREfR6gm/e+4KdxEJGYfLw92Ly4k6NJ9NXU7un1rC6XkZvV7n8Vp+/sJqnl1WxQ+Pn8CXZo389GDVUvj3hZA1Fs693xc2n7HyzVcBuOQPd5FTXLLneev10lJXS33l9s99rX77DVxOx57z8krGMvOEU5h0+FHEJSQO7A8gUo0/AZY/ChUfQclh+zxlUmEa72+uo8vtJS5m6N4hTomJpsbpCnUZe1G4y/+3d9/xcRR348c/s9d16t1qlmRZ7hVjY3CjmBIImJbQQw0JJSEQUigJab/n4SEBkpBAaKGX0G1sQrXBNjbuxr1KsiSrn9qd7nR3u/P7406ybJ1syU3F83697nV3u7O7c6PTfm9mZ2cUpdf8dslOiobH4LSZeHlMHqcnxR5yG09rkLv/s46PN1Xxo5lD+MmZHeZxL14Cr30fopLg6rfAsf8PBdfeclbOfYehk0/dL7ADCE0jLjWNuNQ08iee3L5cGgbNrlpc5WVUF+9m65JFfPrME3z5ynOMO/t8Jp0/h6i4Q/8gOaHkzQQEFC/uOrinxxDQJbtr3QxPP/Tfva+KNmnsDs9215eo4K4oSq/YUtnEy143TrPGZ5OHkxd16MG5N5Y3cufraymp8/CbC0Zy47QDxoB/4fzQ8x0rOw2i4mmo54NH/oDJamXWD27pdj6FphGbnEpsciq54yZy8o6amrMAACAASURBVIWXUrFjK2sWzGXV3HdZ+9E8MoaN4Dt33IMzXo10B4R+VKWNhpKvu0zSFtC3VTb36+AeYzapZnlFURQITd4y+901GCPieaQg65CBvcUf5LFPt/PM4iIcFhOv3XIKp+Qn7Z/IUxd6nnBNp8Beu6eYuY/+P5pddVz6q98Rm3z4w54KIcgoHEFG4Qhce8tZ/u4bbFm8kKduvZbpV13PxPMuxGztWzOE9YrBp4aa5ru47p6f4sRiEmytbOaiXsje0eI0abiDquauKMoJLqgbXPXcNwSHxDDSauXirKQu0wZ0g0c/3c6Ti3YBkJ3o4IPbp+0/SE2bjW+Hniffum97fyur5r7L12+9ij0mlsvu+wOZw4/esLOJGZl85457OOWSK/jyledY/NoLfPvZR5x+/a0MOWnyUTtOvzR4Kqz4F1Ssh6xJnVZbTBo5iVEU1Xh6IXNHT4zJhNcwCBoScx+a5U4Fd0VRjhspJQ9+sIl1FgNsJu4fnhWx57kvoPPmylKe/mo35Q1eAP5z61Qm5yVG3rFhwKrnYdB4GDQWr7uZDZ9/zOLXXgAgJjmFq//06DFrNk/MyOTiX/yGkm/XsfDFp3n//37PsKnTOePGHxEVG3dMjtnn5Zwaet6zLGJwh9AMcUW1/Tu4R4c7A3p0nTit74TUvpMTRVEGNN2Q3PfuBt5cVYrz7CwakcxMiNkvTbMvwBMLd/LO6jJq3X5Ozk3gTxePZmZhysFvP9v4NtRshUufo6WpkX/f/WN8zU3YopxceM/95Iwee4w/XcjgseO59uG/svKDd1j+7htU7NzGRT9/gNTc/ONy/D4lJg1is2Dvui6T5CU7Wbyjtl/P7R5jCk0e49YN4vrQ7e4quCuKcsz5Ajp3/2cdCzZUct0Z+TwrWrlrcFqnZswLn1hKUa2HmYUp3H56Qdc19f123hSaHCZ9DIy6hD3Ll+BrbuKCu37JsKnTj9En6prJbOGUS68gd9xEPvjLn3j9wXs57/afUXjKtOOel16XMR4qug7uuclOWoMGFU0+MuP7522FznDNva91quu/NxcqitIvlLpauPTJr1mwoZIHzh+BKysKqyb4Qeb+19o3lDVSVOthzvgMXrxxcvcCO4SGmG3eC+c/BprG1qVf4oiNY+jkU4/Bp+m+9IJCrvmfx0nJzWPe4w/z7ecf92p+esWg8VC3M/QDLIK8ZCcAxf24ab6t5u7pY53qVHBXFOWYWbChgu8+sYRSVwvPXz+JyePTeaeqnhszUxhk29cpzhfQue+9DSREWfj9nNHdP8DaV0I9sk/7KWSfTE1JEbtWr2Dc7PPQwifd3uSMT+DyB/5I7riJfPr031k9//3eztLxlTE+9Fz5bcTVbcF9Wz8eqS7apGruiqKcIOrcrdz+2hpue3UN2QlRzL1jGtMKU/jplj2kWs38ZPC+SWEMQ3L/exvZUN7Iw5eOJdbezQuXu7+EeXdB/iw4/QGklHz67D9wRMcw8Tu9e3OVv7SZvX9cTqDKg8VmZ869D1A45TQWvfRs+wh5J4RB40LPXVx3T4uxA/DEwp3HK0dHXYw5fM29j9Xc1TV3RVGOGn/Q4OXlJfzt8x14/Tr3njOMW2fkYzZp/G5nOVs8Pl4ak0e8JXTq0Q3JA+9v5J01Zdx11lDOHpXevQPt+gJevwqSCuDyF8BkpmrXDiq2b+XMm27DER1zyF0cK9KQ1Dy3EekLUvXYGqJOSiN2dg7f+cm9BP7cyqfPPEGgtZWTzu/Pd3d3U3QqRKdD1aaIqzVNYLdojM7sv3cUOPtozV0Fd0VRjphuSOZvqOCxT7dTVOth+tBkfnPBSIamhYLsO5Uuniyt4frMZM5ODp3Im30B7npjHZ9vrea2WUP46ZlDO+03UFWNZrehxcbu6y2/7rVQjT15KFz3QfuMb7vXrEAIjWFTj03HtaDLh2+bC1OMFWE3oznMCLMAIZBBA73JT6DSg3ddNdIXJHp6aLx797K9eL+tIfasHC648xf8/cbvseilZ8geNebE6EWfUgi127pcPTkviYYW/3HM0NEVFb784+1jQ9Cq4K4oymFrDeq8t6acp77cRXFdC0NTo/n39Scza9i+W9eW1Ddz97ZSpsY7+UNBKODVe/xc+cxydlS7+cNFo7jmlMGdbnXzfvstxVdcCYaBiIrCmpFCyrBqYmJ24bfk0xJ7A9rXa7Hm5GBKSKB47SpSc3KxO4/+VK16s5/K/1vZrbSWDCeJVw7DMTZUBtGnZtAwbzeNHxVjWVvNtb98lJcfvpu5f/kT1/zPXwf+1LLJw2D9GyBlp0l8ADLj7Wze29gLGTs6HOE7PnyG7OWc7E8Fd0VRemxXjZs3Vuzh7dVl1LcEGJMZx1PXTOTsken73a+8rMHNtd8Wkeuw8eyoPCyaoNkX4Af/XsHuWg8v3HAy04d2Hgo2WFdH+V0/A8Mg+c47sLiWERP4FJPmw1WSTNVyL8i/tKf3WM1UjBhMYUUdO886i+Rbf0TcRRei2e2H/RmllASrWmhZV4N72V6ERSN+TgGWQU4MbxDpC6I3tKJFWxEmgRZtwZwShcm5f58Bc4Kd5OtG4t1UR8PcnehvV3Phxffy4dzH+OifjzLn3gcH9hSyKcPA3wzNFZ2GBQbIiHNQ6/bjC+jYLb3fCbKn7OFmeVVzVxSlX6pu8vHRxkrmf1vBimIXZk0we2QaV08ZzGkFSZ0C1LzqBu7cUkK23crb44eQZDVTUufhlpdWsbvGw7+uPalTYJe6jnvhQsruuBOAnD//GmfzR1CzACxWuHY+ibnTiPf7CVZV4S8uxmjxsnzxZ4gdWxh1+tmIjZuo/O1vqfn730m+7cckXH45wmI54DgG0m9g+HWkX0f6dPSmVvSGVoKNfoJVHvxlbgxPAATYRyQRd85gLGnOwy4/x6gkbHmx1L+3E9bVMrHgHFatns/mr75g1MwzD3u/fV5yYei5Zlvk4B6+v72i0dfee74/MQmBTRN4DRXcFUXpB6SUbK9ys3hHDZ9srmJlsQspYWhqNPeeM4zLJ2WRGtO5ZmxIyV9Lqni4qJKTY538e0weSRYT76wu43fzNqFpghdumMy0ocmh9D4fnq+X0bJ6FY3zV2PJPgXH5B8QPT6bqNV3YQgLvtir8ERdj5xvQwZWYwTCwdmr4WuVbCnbSVb0MKz6bBg+G0uhRBo6nnXgWf916IdH24+PQ7WemgTmZAf24YlYc2JwjEzCFHN0JoLRoiwkXjUcz4pK8j+AkugNfPHvf5EzZhwxiclH5Rh9Tsqw0HPtdhhyeqfVmQmh4F5e7+2XwR3Armmq5q4oSt/2yaZKPt5UxeIdNVQ3twIwLC2Gn545lPPHDGrvJBdJRaufOzfvYUmDm0vSEnh0WDZldS38fP5mFm2r4aTBCTz2vfEMCjaz9/77cX/1FXpNbWhjk5WY7z4BgLBqOJqfBCmpc/4Lw5KFQEPYNbQYK2arhjBrGJ4AG3cvQ5cBJp95KdEJ6eEYLpBIAnv20PLNNwRdLmx5eTinT0dzRmF4g5gTHQibhmY1IWwmTLE2THFWtCgL4hgOhSqEIHrKICwpDqY818RHu57hi6ee5KL7Hjxmx+xV0Wlgi4XaHRFXt41MV97QcjxzdVQ5NA2fqrkritJXvbe2jJ+9uZ44h4UZhSlMH5rM9KHJDIo7+NCgupS8WF7LfTvKAXh0eDYz7A4een8j/1lVisNi4vczM7nIVIP74YfY9elnSK8X56mnYr/0UiyZ2ejeQnybG0j54RhsrIeX5sGEa0i56LtdHrdi5zY2f/QVY844h9yrpkZIkYe84VTqXniB2if+gWfJ8wz6wx9IuOjsIymmo8KWH8+Qn53ByD9uYcP6RRR9uYK8mQNwJjkhIH4wNOyJuDo1NjTdb3VT6/HM1VHlMAm8qkOdoih9TbMvwGOf7uD5pUVMGpzAKzdP6VbnJikli1zN/Gl3BRvdXpwmjYdTU9jw6kK+WLeZLHctT9o85NWXo/+nhL2AFhtL3AUXkHTLzVhzcgjWeal/ZwetuxuIPTcXW1oQHrkwdICzftflsX0eNx898SjOxERmXHNDl+mExULyLbcQO3s25b/4JeU//Skt111L2s9/jujledfNyQ6m/+oWNvx0Ee/+8/fcMeQ1bFmxvZqnYyI+B1y7I66ymU3E2s3UuvtvcFfN8oqi9CkNLX5eWV7Cv5cW42rxc/WUHB68YOQhA7shJf+pdPFUaQ1bPT7SLGbmGDbWfl3O5uVPcsWORaGEJhOWrExsBQU4Lr+UqIkTsY8Zg2a1Eqz1Uv/BTjwrqxAmQcLlhTiHGvDIkNC2N3wEzsjXofVggPl//T8aqyu5/IE/YYs69LVaa24uua+8TNWf/0z9Sy/TunkLWf94AlNc7w6g4kiPY9ol17Lk3ZdZ9/d3mXT/lZjCtdkBIz4Hdi/q8na45Bgbte7+e6+7w6Sa5RVF6WVB3WDprjreX1vOfzdW4g3ozCxM4WezCxmfHX/QbV2BIG9WuHhxby3FXj8mCYP3+qjcVMfmxkruKf6CMbvX4Dz/fNJuvw1rVtZ+tWPDG8S3yYVnbTWt2+sBwiO4DcbsWg7P/jiU8Py/wODIE7/4fV5e/fXPcO0t4+xbf0LWyO6PRS+sVtLvuw/H2HFU/PrXFF91NTnPPoNl0KBu7+NYOPnyy9i4+DM2VnzF4BfGkvqjcWjW/ndbWJficyDggRYXOJM6rU6OtlHTj2vuDlVzVxSlN9S6W1m8o4Yvt9Xw/rq9AMTazcyZkMF1U3MZMajrpuCmoM6HVfW8XlrLSq8PAFHfirXcTcHW3VzgL+PU8m+J270V4XCQfPfdJN10I8JkwmgJ0FpSj7+kCd+OBvylTWCAKd5G1PgUYs/JxWxphkW/hlXPhYaTvXUxDIo8/3pjdRWv3n833qZGzrzpNsaccXjXzuMuOB9zagplt91OyQ+uZ/DLL2FJSzusfR0NmmbilMuv4L//fIw9u77FNi+GhEs7j9jXb8XnhJ4bSiIG95RoG1sqIs8c1x/YNY2aQKC3s7EfFdwVZYDRDcnOajdr99Szdk8Da0vr2V7lBiDJacWsCX5+zjBuOC0Xm7lz7bCqycfHpS4+r23kW6+XCltokA6b20tmTR3nLlzEGZU7Sa8uQWsNBXvbyBHE3nUX8d//Hhh2XG9ux1/mRneF1iPAkhVDzKxs7IUJWHNiEV4XLHoAVj4DwgRTfgxn/gasUZ3yZBg63376X5a8+RJGUOf0H9zC+LO/0yndiy++SFFREcOHDyc1NZWUlBRSU1NJSkrCbN7/dOecPJmc555lz403see6HzD41VcwJ/fe7WjDT5vJ4tdfpMi0mYyVQ7AOjsE5qZtj7fd1bcG9sRQyJ3ZanRxt7d81d5PA51Md6hRFOQoCukF5vZcd1W52VDezo8rN9qpmdtW48QVCTYTxURYmZMdz4bgMZhamMiojdr8R5ADcQZ11zS0sczUzb9l6KuOiaQpPvGIVQeYsWsjsFUsYXrwLTUpMiYlYBw/GPutyHGPHEjVxApbM0LCyelMrFQ+vAMAxJhnL5HSsmdFYs2LQHObQNdfyNTD/ZVj/OgR9UDAbzvl/oTHIDxAMBNi6ZBGrPnyPurI95Iwey1m33EFCeufBUFpaWigqKgKgpqaGbdu2IWXohGsymcjIyCArK6v9ERcXh2PcOLKfeYY9N95I2R13kvPiC2i23rnebTKbGXvmOSx75w3cmdPg7R3YhyUetXvse1VcVui5oTTi6uRoG82+YL8dpc5h0tQgNoqiHFpQN3B5/NS4W1mzp4Hyei8Wk6Cs3ktZfQvl9V4qm3x0vPtmUJydoWkxTM1PYsSgWCYOTiA3Kap95DgpJdX+IFs8Xra6fWzx+Hir0oVk37gu2SaDyVs3Mj7oZ6b0kZcQi2lkHqZpE7FmZmLJycEUYSx0o1XHs6KS5oWh250SLhmKc3K41qkHYe9a2PExbHgb6ouQJhul5pEUR08hc8Sl5MTk0DaGnGHolG3eyLZli9nxzdd4m5tIycnlgrt+ReEpp0UcqrW1tZW33noLTdO49dZbSUtLIxAIUFdXR3V1NRUVFZSVlbFixQqWLVsGQHR0NIWFheTn55P8hz9Qf++9VDzwIBn/93CvDQc75sxzWPb266y1fsV0eRGN83eTeMXwXsnLUeVIAJMVPNURVyfHhH5Q1Xn87fe99yfqmruinGB0Q+L2BWn0BmjyBWhqf963bEWRi2+KXEzNT6LO00qt2099ix95QCufJmBQnIPMBAenDEkiKyGKrAQHBanRDE2NJsZuQUpJbSDIHq+fNd5W3itpptjbyha3jw1ub6f8ja6rZei3azll42pyy0qxXH4+tjM34vPtxRo9jFprClZbAJvVwGTyEo0Jh56DyeTA8Ou0FjXi21RHy7oapF/HNjSe+LNTseg7Ydk7UPI1FC2G1kYQGuROxz3mRj7+chfFG3cBm1i5LDQdaFRsHPboGJpddQR8Xsw2G0MmTmb06bMZPHZCxIAbCATYtGkTCxcupKmpiYsuuoi08LVzi8VCeno66enpjB0buoYfDAaprKxk8+bNVFZWsmnTJtasWQOA+Yrvk791GyOef55R116LtRduk4tJTEYzmdi7eyvOG27Ds6gc+/BEosanHve8HFVCgDMV3F0E9+hQcK9tbu2Xwd2uqZq7ohw3UkoMCUHDwB80COiSgB567deN9tehZxla1vZe37eNP6iHnnWD1oCON6DT4tfx+kPPLQEdn1+nJRBsX96Wxh88+D+8JmivfbcEdPKSnZycm0hytI3kGBsp0VZi7BaibGbSk6NwGwbV/gDV/iCVrQE2+wMscjdRWVfH1w3uiMdIFxJdN7jYVcWgot1kbt7E8E1rSWxuRNegbGQ62uxC4ian4Gp8BW9DKy21dhq0WsxRAcz2YOd8++KwtSRjb3ES5bHgSPTjDNQTVV2J+bkq2toC/LYUGmPGs9UtqDbl4NkoqVnwCZrZzJCTpuBtbqJy1w4MPUhLUyMtjQ0gBKljPaRP2kqUxYaMiae2toHo6Am0tBi4XC5qa2spKSmhqKiI1tZWUlNTuf766xk8ePBBy9tsNrc3ywPous7evXspKipi7dq1bB8+jO2lpcz73/8lOzub/Px88vPzycjIYP369bjdbmbMmHGIb96ROe/2u5n/t0dwZ7oRgOuNbaEZ5o7hqHnHRXTXwT0hKtRu0+DtW53SusuqCYIH/hrvZf02uNc1u3nhy6+6XH+wYpaHSCTp+p8o4joZ8WWP8oQ8+HEJr5PI9hqdlPveSwRIiSR0D3JoWWi/RoeDy3Aaud/2oX3v227fMQwp2jJ3wPE67qPDfg94j+yQLrzAkGAYEl1KdAMMJLouMaRENyS6BMMI1XqlDKeTEsNoSyPQw6/b9yMlMvw6aBBOG6mYD3GCPMgfqW1bu8VElEXDbjWFX5uwW00kOMw4LCbsVisOi4bDasJqMWGzmrDYzFhsJjSzhmYWoAEaBAW0BA08uo4naNAQ0NkbDLA56KfR30RDraBRCjxosLNznmxGkCS/l6TWZgoRFEcnc/P6D0irLSGtoZxUXxVWEUBGQTAKPHE2vCdZqTvTjDs5CrOtCQt7gD3U1JjxlyRi2p7N8EHjsPq92AJNxMiv8ZoGE3TU4Y9qIGBz43PU4HXU4k4zUW/R2r+QlmYwqtNx1Q+itCaH5oZoRJkfLeBHC9Rgbgn9ADGCQXatWYE5NoGo5HSGLV9JgseHxZC0JDohupFWBzTlrcdX/E37521qSsbni8ZVl0UwOIGRI0cyZswY8vLyDqsp3WQykZ2dTXZ2NjNmzKClrIyVP7yVmoIh1KamsnDhQhYuXLjfNi0tLcyePRuT6dhcG84/aTJmq41tK5Yy9fuXUv/mNrwba4ka23n2vH4lOhUayyOuinOEgntTPw3uFiHwh89XfWWGv34b3K0Uka13PSrVgCYOeO7jQj8EtC6fDQShscAP/TDQwvsMbW+goWPCwISOhoGpfZne4XXH9fsvj7x+CyPZxgjO5r8EMBPEQqDDI/TeTDNW6jF3WLZvvR+BX1hAl9ASCD0OwiSDOHETjbv9eQjN+y1z4iaORuKpJwEXUaIFYQM69gGbsO+lN/xo+0OYA34SgkGsgQC2egsOn8BiGCS73Ji9AR5O9LNkZANzmpdTIAMUyABJgQBR+i6kzAVzBiIuE2IHQcwgZHw+vpgY6nx7cTWspTawEiOviLiCPcTopTSXOqnfGUtTSQyGsCOcoY569sLRWKJjSdtdxOAvv8TqaaHk/GlE+7fi3FuNdY0J51IT8RrUpmVQXWjFfmYciWk+gvo2UlOLsdl2kpr6HdLSxhy1E2pUVhbjbrwhdO39rLMwX3stRUVF1NbWUllZidlsZvny5VRXV3PFFVcck6Z7q91B/sST2fHNUs74wQ9pXhRF0yclOEYlI0z95J8+kujUUN+LCGLDwb2xnwZ3qyaQhP7VzX3kT9Rvg/sev4m7SruewOLIIt/+2/aoseWgJ5mjl6ejt23ndbLDOnGQTy8P47NqhhtDcxKquoYCdqjMOj7Y91qE00RYHt5j+3K537q29RLQAaPDvjrsJ+I2AkklNhayGIkIl4Om1yO0BDQ0RGgaEzTAhMAEWBFoMvTaBJglmJFYpIFV6Fh0DauU2GRomU1K7IbEKg3shsQS3kZDIKQgiEEUFkwyfCwpMEkNQTpmmUCQAtxoCC2INeDEZFgwGxY0acFkWDDplvZl5kAU0rAREJJWLUCT0PFqAVyWZqotjRQ5KliftIMmsweAZ+LjMcS+v/04zzBGePPIr8libEkhcXrHTnU6gjSSOJdY4wyCogVvwk68qRuxDFpLXO5eNMNOUusZJDXMwFTnx7d9Db5VHyIbGjDynFRfHcCS8QWtQEL6xQzN/TXBTbtpXrgIy4cfkvrlXvxLKmkqyGPK3+bitu2iqno+ZWWvUFr6PMnJZ5KbeztxseMO8p3snrhLLqH6scfZ+4tfMmz1KkaP3n+QnPz8fObNm8fLL7/M1Vdfjf0I5ozvypBJU9i+fAk1e4qIPSsH16tb8W1z4RjZ+R7xfsOZCp4aMHTQ9m/1aK+5+/pncLeEz0d+KTH3kVpXvw3uqa0Gt+30RFwnoXOQlfuewq3QEf8EEUNZ+0yRBwt1h/4RcLBgKLvK0AH77ZhOin3rZIeY1TGN0dZTusO+5YHbd5wJMxzjgppAM+S+/bVt1/Z+X0vsfvk58FiRVJubSNY7XB7o+BD7mr+NDp+97cq1BIwO+Y30aMtDx206H2PffjsdQ3SxbyGoMJeQEpQY4f0bQhJEwwB0AQHAF16nt6eJUCBtvyW0zqt6Q4w/iuzmVIY2TmasKxOkTr21idUpO2iweai1VPNm0nZkOOAPbUhllGsQ42rTGeR14DBHg+7BrlmxahaiKzVidk8A01R8abU056+jJuNjatI/IoYppCRfRvSsOQS1evyxVSQ0lVAmfPhzhpKdPguLIxHryUlEnXwyqffcjXvpUnY8+mcSt+6g5LzLSZgzh5G3/wZjuI3yslcoK3+FVasuIT39YgoKfoXNevj3qwtNI+Phhym9+WZcr75G8g9v2W/9xIkTsdlsvPPOO7z66qtcd911WA6YL/5IDR4zHoDib9cy+buXocVa8XxT0b+De3QaSCM0Sl30/pcYbGYNq0mjydu5f0d/YA33hwgYBpj6xj91vw3uMS7BrLf6bfb7gSPvHNK+h46xTYTXCEI/wNp+MLRXokWHCvWh1nd+LzutD6cJX+OWmghVqzWxL7hq4feaDD/v/16En6UGwiRD680Qb22iiehQrV6ELhqI9gsNofdtFxAkBhIJQmIIiRTh/hFChvoxiNCPFqN9OfjDWRWajkULYgA+aQYR3p8m2tok0EXoaDqhHxP7PYfXN2kaacEgdimxS4nFgISgRqquY0XDRSMtlNGSYMeLg0TsZHjttLgT8AbTaPJrbI12Ue9ooDKmgffzq3k/fz0FtZKppZLpJWAJClrrJXqqAN2CFu1EeKKILo7C4RtPS0YD7vRVNKevxFVdQGDPdIbKkSSXFTB2jxk2APOreSvhU/bG7OSkadOZOvoiYmbMYOKMGXz+yJ/wvz8XPphL0/wFJN18M7k330pOzs0UlzzJnj3PU1f3FaNGPkJS0szD/u5GTzsN52mnUfPooyReew2aY/8e3KNGjQLgrbfe4r333uOyyy5D047eSd0Zn0DK4DxKvl3LlDmX4zw5neYv9hB0+TAnHv2WguPCkRB69jV2Cu5CCGIdln7bLG/uUHPvK/ptdNwbncRDU7q+5n7wOnY4TTf+Dt3ZT3eIQ/zRu3scgUTIfemFbKvn7lsuwr3Y2huqpWx/TafX+/ZJh/T7jtVh/x331SkP++fnwDzslz8p0aSBKfysYaC1vZah1ybZeVloG6N9mUlKNCNCOoz9tjcZBmapY9GDoWcjiMXQu1XeB+PGjBR+vCYrPrMNn8kaepittJosxLe6yW+qYMmgMZTGpOK2OEIPaxQeix23JQq3xU6zNYoWsx0t/MMgVCZtPQzaHhJTMIjQQi2aQkjMBLEJP3bhx9b20AJYRSsWLYBF8+PEi03zgZBEWZrxiBasJg924cWKF5tsxWYEyQz4MOHCYUCmbhBr6Njb2jLarjPYwEDg9jlp9MWws97J5047S+ICvJzs5eUJkGdkc0ZLI2PcRVjQcWsaOuCyR1NlimW7y0KZyc7psV4mpW1DDKpnVP5JOOJHEWwQVC8tprG0ivENeZxaPw7f662UySUsmbyBmbPncOa997M0J4dFb7zCDGsctf/4B00LFpDx50coGHUv6WkXsnHTXaxbfyN5eXeRl3vHYV+PT/rhD/EsXUr1Y4+Rft99ndaPGjWKxsZGPvnkExYvXszMmYf/YyKSwWMnsGbBXIJ+P86T0mj+fA/eDbXEzMw6qsc5buzhIY59jRFXxzrMSnbqKgAAF1ZJREFU/bZZ3hr+YRfoQ9O+9tvgbtfMjOxixqjDuT59qNDbrTbzA952lQt5yBSRl4fqdAfJyyGP15We7VN2fNFlsYj903Z4LQ52rIg93LubIa39ckzbT4x9x9r3rAuBSUqE1NGkgZAGmhFEGAaa1NGMIJrU25drho6QOiYZxGQEMesBzHorZt0fehgBzLofS3hZjO4n0e9nUFMFANMqNmBUiHAXwMgCmgW3LQa3NYZmeyzN1hgabbHEe13sTC6gOC6bWkciAWEhqBvowiAoJG4haRCSIBBEEESgs6/j4aEFESYv0rCj2feimZsQtiaEuRmHqZ4E0UiiqY5UrZZ0PUB6MEhGUDIo0ExhsIEZjT60Rskqu41/xMex1r6Hl6IEp+kFNMdM5RunD+H/FpNei40ABcEgU90+ppQ1MSxKZ0ehwcottzJmczOJjQEygUxAWgQtg2+hyDWE+NpRzFoxnvUbP+adMTWcP/sysstK+XTlci7+zf0E//UsxVdcSdovf0niNVdz8qT32LrtAYqKHqfVt5fhw/+IED3v2e6cMhlhs+H5+usue0FPnTqViooKFi5cSHJycnuN/mjIKBzOqnnvUl28m4zC4Vgyo2nZ2J+De3j2PV9DxNVxDku/7i0PEFA19yOXkZPMb/95Y29nQ+knpGy7nS98m1+H1weu2/c+vCx8L6GUIA3ZfkufNCLvL9K6gC9Aw5464qKC6E3N6M1NGM3NyOZmZFMDlgYX8Q0uYl110OhC1JWgtYQm0phcvqL9c7Ra4/A6kvHak/E4B9ESl40vIRvDGY8waSBA9xu0ePyhgC8giCQgwCskQQE+IQmYBTLKTNAmCFjj8ZsEO1uiiDKZcLUEcLfq+IFGoJjQT6PUWDNJsQaO2GakpQKPaQuuwGoyAs3k+wOc64/l9oY63oix8klcPenBuTxX5EIwjBU5l5I48TLOzx9OosUMfg80VxJfv5F15f/LunFmxujTSPFEQUIu4uSbcEYlMhowti+h8t33Gdo0nXHfDGPRlg+pm2ImZk8qny9byDVvvkHN735P1R//SKC0lNRf/oKRIx7Bbs+kuPgJAIYP/3+HVYNP+/WvqXzoIVqWLcN5audZ6oQQnH/++WzYsIG33nqLwsLCo3b9Pb0gNBxv5a7tZBQOxzEmmab/FhNs8GGO74dN8+3BvYuau91CQ0v/nPa1/Zq7Cu6KcnyJ8LX4g7YaHGNZI3rWGUoGAviLi9GbmgiUl+MvLcVfWoavaA/+PTuhat/93wGLk2ZnJo1xQ/DnjCR30gQGjRpEWl4sQgh8LQFaW4K0egJ43QE8Da2461tx1/tw17fS0tjKdBk+HQgrjmQ79iwn5nQ7VWZJ0CIodrVQXOthR6lGk88JFGDSLsSZZKYkvoHd9o3siv4IYfKRTTQ+U4Bb081c3bCXe7c9htj2OEtiJ7Bz5BXMOu0q8pOG4EgawqTBp7Nu/Q1saF7O+BnPkph42n7loBVOI+PeUzCW/IOazz5jWvPFNH3h5c3BO0n8Zi/LP/mQmU/8nar/+V9cL76I4fOR/tBvGZL/M5AGxSX/xGKJp6Dglz3+m8VecD6VDz1E+b2/oHDpkohp7HY73//+93nzzTdZsGABF110UY+PE0lMYjJRcfGUbtrAxPMuxDEqiab/FuPb6iL6lM5j6/d5hwjuDouJykDfGuWtu9pr7qpZXlGUQxEWC7ah4Wk/Tzqp0/pgfT2t23fQun07vm3bsK/bQMKujxElHyGXaDTFDGZ30mgYfxqZs8ZTeEo6zrjIk6LoukFjlRdXhQdXhYfa0mYqdzbiXVuHBiTEWZk4LoXs07IYPCaRao+fb8sa2VjeyPqyRlYXG3j8U9DEFPLTBLbErVTK94BWXo13sCZhKj8ulkxs2sSM5b+gfM0jvDziBs495yekRMUyftzzrFl7FRs23sHkk+ficGTvn0GTGW3mT0nLWUzg9fsRntu4tfoa5ud8wOqP5jLh3AtIu/8+NIeDumeewZQQT+pdd5GffzeBYAMle54mOnoE6ekX9uhvYIqOJnrWLHxbtiANA9FFp7kRI0Zgt9tZu3YtZ555JtERxt8/HC2NDexcGRoL35zswBRnpXVX48AM7lYT3sCR94XpDW01d9WhTlGUI2ZOSMA8ZTLOKZPbl+luN96162hZtQrLoiXEbZsHRfPw/DeNhRlTMZ9+HqPOH03W8IT9mqlNJo3EDCeJGc72ZVJKGqu97N3ZQMnGOrYuq2DjV+WYLRpjz8hm2ulZnDMqNDlMQDdYu6eBxTtq+HhTJWs3DwN+xejcVmqjnmaLLOf+/Bhusv4W++YlTAus4tr1/8ee7a+waNafmDXlEsaOeYoVKy9kw8Y7mXTS22hahNNT3nQsP36J7H9fSrXrer7LHFZEf8y/n/4tdz3wL1Lu/hl6Qz11T/0L+/ARxJ57DoVDH8Tt3s7WbQ8QHz8Ju71ngTH2vHNxL1qEb+NGHGMjzzMPcMMNN/Dkk0+ybNkyZs+e3aNjdGXsWefy7Wf/JRgIYLZYsOXH49te36dGQus2S3gq38bIM8PZLf03uPfFmnvfuCFPUZSjwhQdTfT0aaT+7C6GfvA2BV9+SfpDvyW+YBBDdr1P9nM/ZseP7+E/d33A7nU1B92XEIL4tChGnpbBebeO4aa/TGfGFYWk5say5uMSXvjVUr6Ztxu/L4jFpDE5L5F7zh7Gx3fNYMFPpjNnfAYbi21Ubr6TpNaLadabedz7N3ZOzWdB2h28xCXYgjqzPrqBZS/diGZKYvjw/0dz8wbKyl/uOmMJuWg3fUBa0vPYLGuZlDSb5F0WXlrxLEII0h98EMe4cVTcfz+Byko0zcqokX9BSoOt2x5onwa2u5zhseQ9Xy87aLq0tDRGjRrFypUraW09OnOTZw4PddBrrAp1zrQNicPwBAjWdJ4EqM9r+zGy8tmIqx0WEz5/Pw3ubTV3FdwVRTkeLGmpJFxxBQVvvU7+/A9JvPJK0mtXM+aT+9l5z4N88s+VeBq7F4jMVhNjZmVx8T0T+d59J5MxNJ5V84t5848rKN9e355OCMHIjFgev2IC639zNvfMLqSm7FSCdWcC8FbF2zwT9QyO8d/h6cD3WBo7m6m736H0n2cRbT+JpMQZ7N79OIFAfVdZgbgsxDVvkOT4OyZzFVOTL+TruW+zomIFwmol48+PIHWdyt/9HiklDkcWQ4bcQ13dl9TWfdGjMjQnJGAbWkDL6tWHTDtlyhT8fj+bN2/u0TG6kpgR6hnv2lsGgDUrNCpnYG/kSYL6hZFzIi52WLX+X3PvQ83yKrgrygnCNmQIg37zAEM//4z4yy8na+9XpPzrpyy4+3X27oh8e1JXUnJiuPieiVx8z0Ramvy8/+haNiwq65QuLsrCnWcO5bN7ZnJq0lUEWwaDYcev6zzlf4rx06bwadNo5mbeTmbTDlzPfYchmT9C192Ulr1yiEwMQ7v4UVK132HRrFzpvpgHljyA2+/Gmp1Nyp134l64kJbw/O1ZmdfgsOdQVPTXHtfeHSedhHfNGqR+8OCTnZ1NUlISa9dGHkO9pxIzMgFw7Q1NuGJOcYBJ4K+IPDpnn5c4BCJdbgHsZhNBIzRzY39TFwiNrLe6qe/8XVRwV5QTjCUtlYzfP0Tua6/iTI5m5LI/s/wXTx2ymT6SjKHxXP/wNAC+emM7W76uiJhuUJyDZ687mQmOW0Hzkyin0RoM8mTTk0yaOok15Vbmj7if1KZiXO/9HqSkqOhxDOMQ9z2P+C6WcVPx6R8zxD6SpDILz298HoCEa6/BnJZGzd+fQEqJplnIzb2d5uZN1Nd/3aPP6Rg7DsPjwV+y56DphBCMHj2a0tJSWlpaenSMSKyOKGxOJ25XbWj/Jg1LahSB/hrczXYI+iKuclhDYxH0x9p7riPUUXVIVOQOq71BBXdFOUFFTZjAkHffwjlpEsO3vMSaP75I2baDNIV3weYw86MnZpE9IoFFr26lqqgpYjohBK9d/10mJpyDS1vKUPlzqjxVfGr+lLy8PLZt9/DW6HsYvHcJw3yh0d5c9UsPnYGzfkea4x0CRis/bLyMV7a8gsvnQrNaSbr5Zrxr1+ILN5OnpX0XszmGiop3e/YZhxYA4N+965BpCwoKkFKyfv36Hh2jK874RDz1+/4u5rQogjVH/sOhV1i6Du5GuDWlP153t4WvuQfVNXdFUfoCU1wcOf96Esf48YzY8jKL//o53uaeDyRiMmucffNoomKtLHptK8ZBTnK/nXkrQugsKV/K6Qk/54uyL0iZlIKu61i14XyZOIWktR9jMxzUVH986IPHZRI3dQ6V3g3k+3Ix/EHm7ZoXWnXhdxFWK43vvR/Kp8lGWuoFVNf8F13vfqc3a14+AE0LFhwybWZmqCn9wHngD1d0QgLuBlf7e3OcDb3Jj+xDgaTbzHYIRi73ndWhfgSufjiQjS18i2SruubemRDiXCHENiHETiHEr3o7P4pyotAcDrL++jimKDs5a19h1YLiw9qP3Wnh1EsKqC11U7y+tst0Q+KHMCJxJJaYjewsySYrOotXil9h4sSJbF6/ni0n/QxH0ENWQwINjWu6d/CJ1+EPrsKEmTnmc9uDuykuDuf06bi//LI9aVLy6RiGj6amdd3+bKbo0C2CzYu+PERK0DSNzMxMEhISur3/gzmw5m6Kt4EuMdz9cKhWs63LmvupQ0LDiVv7yKxqPdFWc2/tQz+4+kQpitDAz/8AzgNGAlcKIUb2bq4U5cRhSUsl5Ue3kli/jZIF3+D3Hd7Um0MmpuCMt7F1eeRr722yYjIxRZWwrryKM9KuYUPtBtKGpAEQUxNgbcxwYsvraGnZSSAQuZl/P+mjccaUYUiD0wIT2Fa/jYbwGOa2/DwCpaW07go1qcfHnQwI6htWHGSHndkKC3FOndqttOXl5VRVVfW4414kUfEJtDQ2tO/LFB6IKNgQOUj2aWY7BCLn2xQOkHofCpDdZW+rufehzoDiaHz5jjgTQkwFHpJSnhN+/2sAKeX/dLXNpEmT5KpVq45TDhVl4AvW17Nj6ql4otJoKZhCTNLhjV/eWN2CtzmAM77rzkV7LUXssm1E9w3CatgQwoeGCREayJ904SJBNNGkOQjK7o+11eXwwn3gPKcMbD7N1j6DY/syh50fPRN52OLDIYRYLaWc1J20fWWEukyg47BFZcCUAxMJIX4I/BAgJyfn+ORMUU4Q5oQEnDNnIr9agmPDh4e9n/aZuiMPRAZAEjBKSGDvQfZkJTRDff/rYKWciDr3JahI6b27GvpKcO8WKeXTwNMQqrn3cnYUZcDJ+ddTvZ0FRRkwxvTisfvENXegHOg4U0RWeJmiKIqiKD3UV4L7SmCoECJPCGEFrgDm9nKeFEVRFKVf6hPN8lLKoBDiDuBjwAQ8L6Xc1MvZUhRFUZR+qU8EdwAp5QLg0CNEKIqiKIpyUH2lWV5RFEVRlKNEBXdFURRFGWBUcFcURVGUAUYFd0VRFEUZYFRwVxRFUZQBRgV3RVEURRlgVHBXFEVRlAFGBXdFURRFGWBUcFcURVGUAUYFd0VRFEUZYFRwVxRFUZQBRgV3RVEURRlgVHBXFEVRlAFGBXdFURRFGWCElLK383BYhBA1QEkPN4sDGg/zkD3Z9lBpD7a+q3WRlh+47MD3yUDtQXN6dBxJufZk++6k62nZHu6y/lC2/eE7G2mZKttDr1PngxPzfDBUShnXrZRSyhPmATx9PLY9VNqDre9qXaTlBy6L8H5VXy/XnmzfnXQ9LdvDXdYfyrY/fGdV2arzweFur84HB3+caM3y847TtodKe7D1Xa2LtPzAZUfy+Y7EkR63u9t3J11Py/ZIlh0PA/07251jHysDvWz7Y7n2ZHt1PjiIftssrxyaEGKVlHJSb+djIFJle+yosj02VLkeO32xbE+0mvuJ5unezsAApsr22FFle2yocj12+lzZqpq7oiiKogwwquauKIqiKAOMCu6KoiiKMsCo4K4oiqIoA4wK7icoIcQcIcQzQog3hRBn93Z+BhIhRL4Q4jkhxNu9nZf+TgjhFEK8GP6uXt3b+RlI1Pf02OkL51cV3PshIcTzQohqIcTGA5afK4TYJoTYKYT41cH2IaV8X0p5C/Aj4PvHMr/9yVEq291SypuObU77rx6W8SXA2+Hv6oXHPbP9TE/KVn1Pe6aHZdvr51cV3PunF4BzOy4QQpiAfwDnASOBK4UQI4UQY4QQHx7wSO2w6QPh7ZSQFzh6ZatE9gLdLGMgCygNJ9OPYx77qxfoftkqPfMCPS/bXju/mnvjoMqRkVJ+JYTIPWDxZGCnlHI3gBDiDeAiKeX/ABccuA8hhAD+F/hISrnm2Oa4/zgaZascXE/KGCgjFODXoSojh9TDst18fHPXv/WkbIUQW+jl86v6Zxk4MtlXw4HQSTHzIOnvBM4CLhNC/OhYZmwA6FHZCiGShBBPAROEEL8+1pkbILoq43eBS4UQT9J7Q372dxHLVn1Pj4quvre9fn5VNfcTlJTyb8DfejsfA5GUso7QtTblCEkpPcANvZ2PgUh9T4+dvnB+VTX3gaMcyO7wPiu8TDlyqmyPPVXGx44q22Onz5atCu4Dx0pgqBAiTwhhBa4A5vZyngYKVbbHnirjY0eV7bHTZ8tWBfd+SAjxOrAMGCaEKBNC3CSlDAJ3AB8DW4D/SCk39WY++yNVtseeKuNjR5XtsdPfylZNHKMoiqIoA4yquSuKoijKAKOCu6IoiqIMMCq4K4qiKMoAo4K7oiiKogwwKrgriqIoygCjgruiKIqiDDAquCuKoijKAKOCu6L0IUII2Y3HLCHE9eHX0b2Y1xc65OnxXszHrA75qO2tfChKX6ImjlGUvmVqh9cO4Avgj8D8Dss3A5vCaVuOX9Yi2kpoYpeKXszDGkJlcTMwpxfzoSh9hgruitKHSCmXt73uUCvf1XF5BzXHJ1cH5ekib8eNlLIJWC6EOLc386EofYlqlleUfujAZnkhRG74/RVCiH8LIZrC419fE17/CyHEXiFEjRDiYSGEdsD+Rgsh5gshmsOPt4QQ6YeZt6lCiLlCiAohhEcIsU4IcXU3tlskhHj7gGVtTe6jDycvinKiUsFdUQaWhwk1kV8KLAZeFEL8BZgM3Ag8DvwC+F7bBkKIAmApYAeuAa4HRgHzhBDiMPIwOLy/m4DvAu8A/xZCXHl4H0lRlJ5SzfKKMrB8IaW8D0AI8Q1wGXAhMFxKqQP/FUJcBFwMvBHe5rdAJXCelNIf3vZbQtfTv8P+1/sPSUrZtl/CPw6+IjTP9S3A64f/0RRF6S5Vc1eUgeXzthfha9E1wJfhwN5mJ5DZ4f1ZwHuAIYQwCyHMQBFQDEzqaQaEEAlCiL8JIUqAQPjxQ6Cwp/tSFOXwqOCuKANLwwHv/V0ss3d4nwz8kn2BuO2RD2QfRh5eAL4PPAKcDZwMPH/AMRVFOYZUs7yiKC5CNfdnI6zr0X3jQgg7cAFwu5TyqQ7Lu1OR8AHWA5Yl9OT4iqKEqOCuKMrnhDrQrZZSyiPcl41Qi2Br2wIhRAyh6/6H2ncZMOOAZWcfYX4U5YSkmuUVRXkIGAPMF0JcFr797OrwCHSzerIjKWUjsBL4jRDiUiHExcBnQGPHdEKIwUKIoBDiug6L3wOGCiEeE0KcJYT4E9Dp3nUhxE4hxHM9+oSKcoJRwV1RTnBSyu3AKYRGu3sa+Aj4HaHa987D2OVVwG7gJeCvhG6Fe+mANAIw0eEcJKWcD9xHqIf/e4RuqftphP2bw9sqitIFceStcIqinIiEEC8Aown9MDCklEYv5aPth8JvgNuklMm9kQ9F6UtUzV1RlCNxEqGe9Y/2Yh5mhvPwYC/mQVH6FFVzVxTlsAghcgndRgdQJaUs7aV8xADDwm8DUsr1vZEPRelLVHBXFEVRlAFGNcsriqIoygCjgruiKIqiDDAquCuKoijKAKOCu6IoiqIMMCq4K4qiKMoA8/8BvKjyXjXvekAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106c7b790>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "area_dynamics = np.loadtxt(os.path.join(where, 'out/area.dat'))\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "plt.xscale('log')\n",
    "for i in range(len(area_dynamics[0])-1) :\n",
    "    plt.plot(area_dynamics[:, 0], area_dynamics[:, i+1])\n",
    "\n",
    "plt.xlabel('Time [a.u.]', fontsize=15)\n",
    "plt.ylabel('Area [a.u.]', fontsize=15)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Diagram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b5fa6d0>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "beta, delta = np.loadtxt(os.path.join(where, 'beta_vs_delta.dat'), unpack=True)\n",
    "\n",
    "fig = plt.figure(figsize=(10, 10))\n",
    "ax = fig.add_subplot(111)\n",
    "plt.locator_params(nbins=5)\n",
    "\n",
    "ax.plot(beta, delta, linewidth=5, color='k', zorder=10)\n",
    "ax.text(x=0.3, y=-0.1, s='1 => 2', fontsize=30)\n",
    "ax.text(x=-0.5, y=0.1, s='1 <= 2', fontsize=30)\n",
    "ax.set_ylabel(r'$\\delta=\\frac{\\gamma_{2}-\\gamma_{1}}{\\gamma_{2}+\\gamma_{1}}$', fontsize=30)\n",
    "\n",
    "ax.set_xlabel(r'$\\beta=\\frac{A_{2}-A_{1}}{A_{2}+A_{1}}$', fontsize=30)\n",
    "\n",
    "ax.grid()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Area Evolution (with pumping, $\\lambda_p = 3.10^{-3}$)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10db76290>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "t, w, l = np.loadtxt(os.path.join(where, 'average_evolution_jp1e-3.dat'), unpack=True)\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "plt.xscale('log')\n",
    "\n",
    "index = [i for i in range(10000)] + [10000+i*500 for i in range(58)]\n",
    "\n",
    "plt.scatter(t[index], w[index], color='purple', marker='s', label = 'Winner')\n",
    "plt.scatter(t[index], l[index], color='orange', marker='^', label='Loosers')\n",
    "\n",
    "plt.xlabel('Time [a.u]', fontsize=20)\n",
    "plt.ylabel('Area [a.u]', fontsize=20)\n",
    "\n",
    "plt.legend(fontsize=20)\n",
    "\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Probability"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b1c1350>"
      ]
     },
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      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "d_jp1e3, p_jp1e3 = np.loadtxt(os.path.join(where, 'pbty_delta_swelling_jp1e-3.dat'), unpack=True)\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "plt.locator_params(nbins=6)\n",
    "plt.grid()\n",
    "\n",
    "plt.plot(d_jp1e3, p_jp1e3, color='#FF0000', label = 'Pumping, $\\lambda_p=10^{-3}$', marker='x', linestyle='--', markersize=10)\n",
    "\n",
    "plt.legend(fontsize=20)\n",
    "\n",
    "plt.xlabel('Tension asymmetry $\\delta = (\\gamma_2-\\gamma_1)/(\\gamma_2+\\gamma_1)$', fontsize=20)\n",
    "plt.ylabel('Prob. to win at TE-ICM interface', fontsize=20)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Supplementary figure"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Diagram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b44d990>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "beta2, Gamma = np.loadtxt(os.path.join(where, 'beta_vs_Gamma.dat'), unpack=True)\n",
    "\n",
    "fig = plt.figure(figsize=(10, 10))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "plt.locator_params(nbins=5)\n",
    "\n",
    "ax.plot(beta2[:2001], Gamma[:2001], linewidth=5, color='k', zorder=10)\n",
    "ax.plot(beta2[2001:], Gamma[2001:], linewidth=5, color='k', zorder=10)\n",
    "ax.text(x=0.1, y=0.2, s='1 => 2', fontsize=30)\n",
    "ax.text(x=-0.2, y=-0.3, s='1 <= 2', fontsize=30)\n",
    "ax.set_xlabel(r'$\\beta=\\frac{A_{2}-A_{1}}{A_{2}+A_{1}}$', fontsize=30)\n",
    "\n",
    "ax.set_ylabel(r'$\\Gamma=\\frac{\\gamma_{c2}-\\gamma_{c1}}{\\gamma_{c2}+\\gamma_{c1}}$', fontsize=30)\n",
    "\n",
    "plt.grid()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Probability vs $\\Gamma$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10dbbfed0>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "G_jp1e3, pG_jp1e3 = np.loadtxt(os.path.join(where, 'pbty_Gamma_swelling_jp1e-3.dat'), unpack=True)\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "plt.locator_params(nbins=6)\n",
    "plt.grid()\n",
    "\n",
    "plt.plot(G_jp1e3, pG_jp1e3, color='#0093E1', label = 'Pumping, $\\lambda_p=10^{-3}$', marker='o', linestyle='--')\n",
    "\n",
    "plt.legend(fontsize=20)\n",
    "\n",
    "plt.xlabel('Contact tension asymmetry $\\Gamma = (\\gamma_{c2}-\\gamma_{c1})/(\\gamma_{c2}+\\gamma_{c1})$', fontsize=20)\n",
    "plt.ylabel('Prob. to win at TE-ICM interface', fontsize=20)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Supplementary text"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Winning diagram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106104bd0>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import mpl_toolkits.mplot3d.art3d as art3d\n",
    "\n",
    "X, Y, Z = np.loadtxt(os.path.join(where, '3d_beta_mat.txt')), np.loadtxt(os.path.join(where, '3d_Gamma_mat.txt')), np.loadtxt(os.path.join(where, '3d_delta_mat.txt'))\n",
    "\n",
    "fig = plt.figure(figsize=(10, 10))\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "plt.locator_params(nbins=4)\n",
    "ax.plot_surface(X, Y, Z, color='purple', alpha=1.0, shade=False)\n",
    "\n",
    "ax.set_xlabel(r'$\\beta$', fontsize=30)\n",
    "ax.xaxis.set_rotate_label(False)\n",
    "\n",
    "ax.set_ylabel(r'$\\Gamma$', fontsize=30)\n",
    "ax.yaxis.set_rotate_label(False)\n",
    "\n",
    "ax.set_zlabel(r'$\\delta$', fontsize=30)\n",
    "ax.zaxis.set_rotate_label(False)\n",
    "\n",
    "ax.view_init(30, -130)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Noisy networks"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Probability vs $\\delta$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1096b4b50>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "a, b = np.loadtxt(os.path.join(where, 'pbty_last_DELTA_asymmetry_regular.txt'), unpack=True)\n",
    "c, d, e = np.loadtxt(os.path.join(where, 'pbty_last_DELTA_asymmetry_noisy.txt'), unpack=True)\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "plt.locator_params(nbins=4)\n",
    "plt.grid()\n",
    "\n",
    "plt.plot(a, b, linestyle='--', color='k', markersize=10, marker='x')\n",
    "plt.errorbar(c, d, e, linestyle='', color='r', marker='o')\n",
    "\n",
    "plt.xlabel('Tension asymmetry $\\delta = (\\gamma_2-\\gamma_1)/(\\gamma_2+\\gamma_1)$', fontsize=20)\n",
    "plt.ylabel('Prob. to win at TE-ICM interface', fontsize=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Probability vs $\\Gamma$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1095f5950>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "a, b = np.loadtxt(os.path.join(where, 'pbty_last_GAMMA_asymmetry_regular.txt'), unpack=True)\n",
    "c, d, e = np.loadtxt(os.path.join(where, 'pbty_last_GAMMA_asymmetry_noisy.txt'), unpack=True)\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "plt.locator_params(nbins=4)\n",
    "plt.grid()\n",
    "\n",
    "plt.plot(a[2:-3], b[2:-3], linestyle='--', color='k', marker='x', markersize=10)\n",
    "plt.errorbar(c, d, e, linestyle='', color='r', marker='o')\n",
    "\n",
    "plt.xlabel('Contact tension asymmetry $\\Gamma = (\\gamma_{c2}-\\gamma_{c1})/(\\gamma_{c2}+\\gamma_{c1})$', fontsize=20)\n",
    "plt.ylabel('Proba. to win at TE-ICM interface', fontsize=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sigma (Initial volume)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1096b4e90>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "a, b = np.loadtxt(os.path.join(where, 'pbty_distrib_sigma0.1_asymmetry.dat'), unpack=True)\n",
    "c, d = np.loadtxt(os.path.join(where, 'pbty_distrib_sigma0.5_asymmetry.dat'), unpack=True)\n",
    "e, f = np.loadtxt(os.path.join(where, 'pbty_distrib_sigma1.0_asymmetry.dat'), unpack=True)\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "plt.locator_params(nbins=4)\n",
    "plt.grid()\n",
    "\n",
    "plt.plot(a, b, color='#3188FA', label = '$\\sigma$ = 0.1', marker='o')\n",
    "plt.plot(c[1:], d[1:], color = '#FF9E00', label = '$\\sigma$ = 0.5', marker='o')\n",
    "plt.plot(e, f, color = '#02AE42', label = '$\\sigma$ = 1.0', marker='o')\n",
    "\n",
    "plt.legend(fontsize=20)\n",
    "\n",
    "plt.xlabel('Tension asymmetry $\\delta = (\\gamma_2-\\gamma_1)/(\\gamma_2+\\gamma_1)$', fontsize=20)\n",
    "plt.ylabel('Proba. to win at TE-ICM interface', fontsize=20)\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Topology"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bb3a990>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "d_tr2, p_tr2 = np.loadtxt(os.path.join(where, 'TRI_2layer_asymmetry.dat'), unpack=True)\n",
    "d_tr3, p_tr3 = np.loadtxt(os.path.join(where, 'TRI_3layer_asymmetry.dat'), unpack=True)\n",
    "\n",
    "d_he2, p_he2 = np.loadtxt(os.path.join(where, 'HEX_2layer_asymmetry.dat'), unpack=True)\n",
    "d_he3, p_he3 = np.loadtxt(os.path.join(where, 'HEX_3layer_asymmetry.dat'), unpack=True)\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "plt.locator_params(nbins=6)\n",
    "plt.grid()\n",
    "\n",
    "plt.plot(d_tr2[1:], p_tr2[1:], color='#3188FA', label = '2 TRI', marker='>', linestyle='--')\n",
    "plt.plot(d_tr3[1:], p_tr3[1:], color='#0000FF', label = '3 TRI', marker='>', linestyle='--')\n",
    "\n",
    "plt.plot(d_he2[:-1], p_he2[:-1], color='#FF0000', label = '2 HEX', marker='H', linestyle='--')\n",
    "plt.plot(d_he3[1:], p_he3[1:], color='#FAA500', label = '3 HEX', marker='H', linestyle='--')\n",
    "\n",
    "plt.legend(fontsize=20)\n",
    "\n",
    "plt.xlabel('Tension asymmetry $\\delta = (\\gamma_2-\\gamma_1)/(\\gamma_2+\\gamma_1)$', fontsize=20)\n",
    "plt.ylabel('Prob. to win at TE-ICM interface', fontsize=20)\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pumping"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Evolution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b45af50>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d784810>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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B1QSz66+IHbuCYOSYiMiwtWRLNUeVjiE7s4dfz+FWKF8C005KXmC9SO38+wN9EfhLbCTXRuCTBMnuXjO7CtgCfDiF8YmIDKqmtjCrKmr59Kkzey64fRlEWtOmvwT6kEzMbBRwAXAokNv5dXf/ZiKBuPvrwMIuXjozkfOKiAwVSzZXE446J8wc23PBLbHlEKcNsWRiZrMIFnPMAwoIRl4dEnt/NVALJJRMRERGusUb95AZMhb21vm+dTGUzIWCkuQEFod4+0yuB14lGJprwHkEieUyoAH4yKBEJyIygizesIejpo6hIKeHv/OjEdj6clo1cUH8yeR44PdAa+x5trtH3P1OglWDbxyM4ERERoqG1jArKmo5sbcmrsrV0FqbVp3vEH8yyQXq3D0K7AUmd3htJXDUQAcmIjKSvLp5L5Goc+KsXpLJxn8G92UnD35QfRBvMnkLmB57vAz4rJnlmlkWcBWwfTCCExEZKV7asIesDOPYab30l2xYFPSXFJUmJ7A4xZtM7gaOjj3+LvBOoA6oJxiu+/0Bj0xEZARZvHEPx0wtJi+7h0Ub25uDkVyzzkheYHGKd6HHX3Z4/JKZzQfOIeiEf9rdVw5SfCIiw97exjZWVNTy1bMO7bnglhch3AKz02/GRL8mLbr7NuDmAY5FRGREen79btzh1EN7WQ5qw9OQkQPT06u/BHpo5jKzI83soMmJPYm9JyfxsERERo5n36piTH4WC6b0sh7X+kXBkODs/OQE1gc99ZksA46M90RmlhF7zxGJBiUiMlK4O8+tq+Lk2SVkhHrYv6S2AqrWwKz0a+KCnpu5DLjYzLpa4qQr6bI3iojIkLF2Vz276lo5bU4cTVyQlv0l0HufyTeSEoWIyAj17FvBHkzvOrSXpVE2LILCiTD+8CRE1XfdJhN3V01DRGSQPf1mJfMmjmJSUQ/7vYdbYd1TMP8i6Gkr3xRSwhARSZGapjZe3VzNWYf1siP5pmehrR7mfSA5gfWDkomISIo8s7aKSNQ56/BeksmahyG7EGacmpzA+kHJREQkRZ5cs4txo3I4sqchwdEIrH0M5rwHsvo0WyOplExERFKgLRzln2urOHPeeEI9DQne9go0VsG89ycvuH5QMhERSYGXNu6hoTXce3/Jm49ARjbMOTs5gfWTkomISAo8vnIHBdkZnDKnhyHB7kEymXEa5I5OXnD90Jc94MsIdlbsbg/4Dw9YVCIiw1g4EuWJVbs487AJ5Gb1sEpwxVKo3gzvuiZpsfVXvHvAHwc8C2wlSCbLgSKgDCgH1g9SfCIiw87Lm/ayt7GN8xZM6rngivuChR0PPz85gSUg3maunwP3AfMJllm5yt1nAqcADvxscMITERl+Hl2xg/zsDE6f28MSKpEwrHwADn0v5PayAGQaiDeZHA3cBURjz3MB3P1F4AfAdQMfmojI8NMeifLEyp2cMW98z01cm54JRnEdOTR6EOJNJg60ubsDlezfwhdgGzBnoAMTERmOnl+3mz2NbVxw9JSeCy6/D3KKYPZ7khNYguJNJquBWbHHi4GvmtkcM5sOfBPYMBjBiYgMN39bVsGY/CxO62kjrNaGYBTX4een9UTFjuIdzXUT+2sj1wL/B7wZe94IXDLAcYmIDDsNrWH+b/VOLjmulOzMHv6WX/VXaGuAYy5LXnAJincP+D91eLzGzA4DTiTYA/4ld68cpPhERIaNv6/cSUt7lIuO6aWJa+ntUDIXpr4zOYENgP7uAd8APDnAsYiIDGv3vrqNGSUFHDutuPtCO1dCxRJ470/Sdrn5rsQ9Az62v/s9ZrbBzFrN7NjY8f80s3MHL0QRkaFvY1UDr2zey4cWlmI9JYnXbg/mlhx1afKCGwBxJZNYslgKTATuALI6vNwKfHHgQxMRGT7uW1pORsi45NjS7gu1NsAb9wQd7/mHJC+4ARBvzeQnwG3ufhrwn51ee51gHkrCzCzDzJaZ2SOx5zPM7GUzWx+rFWUPxOeIiCRTWzjK/UvLeffccYwf3cPorDfugtZaOP7q5AU3QOJNJvOAe2KPvdNrdcBApdAvA2s6PP8pcL27zwaqgasG6HNERJLm8ZU7qKpv5WMnTO++UDQKL/0OphwHpe9IXnADJN5kUgnM7Oa1IwjW7EqImZUC7wP+EHtuwBnA/bEitwMXJvo5IiLJ5O7c8vwmZo4r4LQ5PcwtWf8k7N0AJ3x+SHW87xNvMrkb+KGZndLhmJvZocC3gL8MQCw3EEyA3Ldky1igxt3DseflQC/j6URE0strW6tZXl7LJ08q63kTrMW/gVGT4fALkhfcAIo3mXwXWAL8k/21kAeBlQQrCP84kSDM7P1Apbsv7ef7rzazJWa2pKqqKpFQREQG1K0vbGZ0biYf7KnjvXwpbPonnPBZyMjqvlwai3fSYivwfjM7EzgTKAH2AovcfSDmm5wMnG9m5xEsIjkauBEYY2aZsdpJKVDRTXw3EczSZ+HChZ37dEREUmJ7TTN/X7mTT50yg4KcHn7dPvcLyB0DC69MXnADrNdkYmY5wDXAI+6+CFg00EG4+3eA78Q+73TgGnf/mJndR7BUy93AFQS1IRGRIeGOxVtwdz5+Yg8d77tWwdpH4bRvQ86o5AU3wHpt5orVSv4fMGbwwznIt4Cvmdl6gj6UW1IQg4hIn9W1tHPny1s4Z/5ESovzuy/47M8hqwDe+ZnkBTcI4l1O5WXgWII+k0Hl7s8Az8QebwSOH+zPFBEZaLc+v4m6ljCfP31294W2vw6r/ganfmPITVLsLN5k8k3gTjNrBx4DdtFpvom7Nw1wbCIiQ1Jtczu3PL+Jsw+fwPwpPeyS+PR/BH0lJw39RUT6UjMB+BVBx3hXetgyTERk5Lj1+U3Ut4T58lk97Bu4+flgbslZPxgS2/L2Jt5kciUHz3wXEZFOapvbufWFTbz3iAkcMbmbJBGNwhPXwujSIbl0SlfiHRp8W0+vm9nQHBgtIjLAbnluI/UtYb50Zg+1kjfugh1vwAf/ANk9dM4PIXEvQd+ZBc40sz8Q9KGIiIxo22uauem5jZy3YGL3tZLmanjq+zBlISwYPpvU9nlzLDM7Afgo8CFgAsHkxbsGOC4RkSHnp39/k6jDd849rPtCT30fmnbDx+4dkmtwdSeuZGJmCwgSyKUEe8G3AdnA14DfdFg/S0RkRFqyeS8Pvr6dL54xm6mHdNN0tWUxLL0NTvwCTD4mqfENtm6bucxsppn9PzNbSbBnydeBVcDlwBzAgGVKJCIy0kWjzg8eXs3E0bl87vRZXRcKt8LDX4aiaXD6d5IbYBL0VDNZTzCC62XgM8AD7l4NYGZDfxybiMgAufvVbayoqOWGjxxNfnY3v1afvwF2r4V/uQ9yCpMbYBL01AG/haD2MR84HTjJzPrcxyIiMpxtr2nmx4+t4cSZY7ng6MndFFoWLJsy/2I49OzkBpgk3SYTd58BnATcRrBS8MPALjO7OfZc805EZERzd77z1xVEos5PLz4S66pDvbUe7r8SCsfDef+V/CCTpMehwe7+krt/iWBTqrOB/wUuZv/uh582s4WDG6KISHq6f2k5/3yrim+dM5dpY7vpdH/061C9GS7+w5Bff6sncc0zcfeouz/l7lcRDAe+CLg3dv+yma3p8QQiIsNMeXUTP3pkNceXHcLlJ5Z1Xej1u2D5PXDat2D6SUmNL9n6PGnR3dvd/UF3/ygwHvg4sG7AIxMRSVNt4ShfuHMZ7vDzDx3Z9Xa8O96AR78G008OVgUe5vo9Ax6ClYLd/U53P3+gAhIRSXc/f+JNXt9Ww3UXH8n0sQUHF2iohLv+BfKK4ZI/Qmj4r4Or0VkiIn3w5Opd3PzcJi4/cTrvO3LSwQXCrXD3x6B5L1z5dxg1IflBpoCSiYhInNbsqOMrdy9jwZQirj2viyVTolF48AtQ/gp86HaYdFTyg0yRhJq5RERGisr6Fq667VUKczO5+fKF5GZ1arpyh8e/CSvuhTO+C0dcmJpAU0Q1ExGRXjS1hfn07Uuobmrnvs+eyMSi3IML/eM/4dWbg10T3/X15AeZYqqZiIj0oKU9wqfvWMKKilpuvPTorrfhffbnwe3Yy+E9PxpWqwHHSzUTEZFutIYjfPbPS3lxwx7+65KjOPuIiQcWcIdFP4Dnr4cjPwLvv2FEJhJQMhER6VJLe4Qv3Pkaz6yt4icfXMDFx5UeWCAahb9/C165CY77JLzvlxAauY09SiYiIp3Ut7Tz6TuW8NLGvfzowvl89PhpBxZoa4K/XQ1rHg72Jjn7P0ZsjWQfJRMRkQ6q6lv55G2v8OaOem689GguOHrKgQXqd8FdlwYrAb/3J3DC50Z8IgElExGRt60or+XqPy2huqmNm69YyLvnjj+wwNaX4L5PQEstXPoXmPe+lMSZjkZuA5+ISAcPvl7BJb9/kZAZ93/2pAMTiTss/i3c9j7IzIUrn1Ai6UQ1ExEZ0ZrawvzokdXc9co2ji87hN9ediwlhTn7C9TvDGa1r38S5r4PLvwt5I1JXcBpSslEREaslRW1fPnuZWzc3cjnTp/F195zKFkZsQYbd1j5ADx2DbS3wLk/g+OvVv9IN5RMRGTEaWmPcMNT67j5uY2MLcjmz1e9k5Nnl+wvsGcDPPYN2LAIJh8LH7wJSuakLuAhQMlEREYMd+cfayv5wcOr2bKniQ8vLOXa8w5jTH52UKC9JZiA+Pz1kJEN5/wU3vEpyNCvyt6kxRUys6nAHQS7ODpwk7vfaGaHAPcAZcBm4MPuXp2qOEVk6Fqzo47/fHQNz6/fzYySAu781Ds5aV9tJBIOdkR85jqo3QrzL4b3/hhGTez5pPK2tEgmQBj4uru/ZmajgKVm9iTwCWCRu19nZt8Gvg18K4VxisgQs76ynl8tWs/Dy7czOjeL773/cC47YTrZmaFgFvuah4JFGne/BZOPgQt+DTNPS3XYQ05aJBN33wHsiD2uj+0pPwW4ADg9Vux24BmUTEQkDu2RKN9+YAV/XVZOXlYGnzl1Fp89bWbQpBVuhWX3weLfQOVqGDcPPvJnmPd+dbD3U1okk47MrAw4BngZmBBLNAA7CZrBunrP1cDVANOmTeuqiIiMMLe/uJkHXivnU6fM4PPvns0hBdnQuBv+eSu8cjM0VsL4I+Ci/4EFHxoRW+sOprRKJmZWCDwAfMXd66zDXwju7mbmXb3P3W8CbgJYuHBhl2VEZOTYVdfC9U++xRnzxvNv5x4ajMpa9idY+3eItsOcs+GEz8PM01UTGSBpk0zMLIsgkfzF3f8aO7zLzCa5+w4zmwRUpi5CERkKwpEo19z3BuFolF9MfAquvwwadkJ+CbzzM8GeI+PmpjrMYSctkokFVZBbgDXu/ssOLz0EXAFcF7t/MAXhicgQEY5E+fI9r/Pcut384YwIxS9eBzNOg/f9IqiNZGanOsRhKy2SCXAy8HFghZm9Hjt2LUESudfMrgK2AB9OUXwikubawlG+ft8bPLp8B9eeN4+zmm4J5op85E+Q28XuiDKg0iKZuPvzQHcNl2cmMxYRGXp21bXw+b+8xtIt1Xz73Hlc/a6ZcP2DMOsMJZIkSYtkIiLSX/94s5JvPrCchpYw//3RY/jAUZOhfAnUlcMZ/5bq8EYMJRMRGZL2Nrbxw4dX8b+vb2f2+EL+dNXxzJs4Onhx6W3BUvFzz0lpjCOJkomIDClt4Sh3vbKVGxeto76lnS+dOYd/ffcscjJj80SqN8Mbd8NxV0BecUpjHUmUTERkSAhHojy8fDu/fPIttu1t5oSZh/D984/YXxuBYHmUR68JOt5P+Vrqgh2BlExEJK01tIa599Vt3PrCJsqrmzli8mhuv3IBp84pwTpPOHzhhmATq3N/DkVTuj6hDAolExFJO+7O69tquPuVbTy8fDtNbREWTi/m3953OGcfPoFQqIvBnyvuh6d/BEd8EI7/dPKDHuGUTEQkLbg76yobeHzFTh5dsZ23djWQl5XBB46axL+8czpHT+1mq1x3WHJrsCPitBPh/P/WEikpoGQiImnh2r+t5K5XtmIGC6cX8+OLFvCBoyYxKjer+ze1NcIjXw32Ipl9Fnz4DsguSF7Q8jYlExFJudqmdu5bso0PHDWZ777vMMaPzu35De4tPihTAAAV20lEQVSw+n/hye9BzTY4/Vo49Rqt/JtCSiYiknK3vrCJcNT5zKkze04kkXZY83CwD0nFEpgwHz7xCJSdkrxgpUtKJiKSUs+v281v/rGe84+azPwpXSx94g4Vr8Gqv8LKB6B+BxSXwQduhGM+rtpImlAyEZGUefiN7Xz93jeYPb6QH104f/8Lddth07Ow4R+w8ZlgCflQFsw+E95/A8x5j5JImlEyEZGka2wN86tF6/ifZzfyjrJibr7saIrW3A1vPgrblwXJAyB/bLCE/OyzYN77IK+bEV2SckomIpI04UiUR5bv4LrH36SyromvH97I5ya8TObvPwENu6B4Bsw8DSYfA9NPggkLIBRKddgSByUTERl0uxtaeXBZOf947jkmN67kuoK3OKVoOZkbq2FTBhz63mAHxEPP0RyRIUrJREQGnEfaqdi4hrUrl1Cz4RUm1K3gQ7aBq6wZssCzxmOzzwmar2a+GwrGpjpkSZCSiYgkprUB3/Yy1W8+R335KrL2rqOkbRulhCkFIoTYM2o2kekXw6EnQ+k7sENmHdR89afFm3lh/R7GFmZTUpjDuFE5lI0tYPb4QiaMzjl4HS5JK0omIhK/tibYu4FoxTJq1y3GK5Ywpn49IaIUuVHn49mQUcrq4neSP+UIps89milzj2N8N7PSm9rCvLq5mgeWlvPQG9spyM4gOzNEdVP7AeVG5WRyxJTRnDizhFPmlHDstDFKLmnG3D3VMQyohQsX+pIlS1IdhsjQ1rgbtr8Oe9YRqVpHy861hPZuIK95x9tFaj2fN6KzeCtrLu2TFnLIEWdw3OzJjB+VQ2NbhIaWMPWtYRpawjS0hqlrbmdXXSs765rZWdvCpt2NbNnbhDuMys3ko8dP4xvvnUtWRoj2SJTdDa1sqmpkfVUD6ysbeG1rNau21+EOUw/J46JjSrnshGmMH9XLbHmJi5ktdfeF/X6/komIdBRd8xjh+z9FdqQRgDrPZ6NPCm7RSbSMnkHe1KOZMXcBC8tKmHpIHj97Yi1/WryFhtZwr+cvKcxmwuhcph2Sz7yJo1lQOpqTZpWQm9X7vJGapjYWrankb8sqeGHDbnIyQ1x58gy+dOacuN4v3VMy6UTJRKQf2hph4zM0Pf878sufY2W0jD8WfprMCYcxYeIUZk0YxaxxhcwcV0B+9v7W8S17GvnNP9Zz75Jyzpg3ngVTihiVm0lhTiaFsftRuZkU5GQyKjeLksLs/TsiJmjT7kZufOot/vf17cwsKeB3lx3H3ImjBuTcI5GSSSdKJiK9iEahehNUroZdq2ne+CLZ5S+SEW1jpxfzp+i5THjPl/n4u+ZiZrg7jW0RqupbqahuZtPuBt7cWc/ijXvYWNVIRsi47F1lnHF8KWX5OUzJySazq/1GBskL63fz1Xtep7ktwk2XL+TEWRoZ1h9KJp0omciI1t4CjZXQWAUNVcF9YyXh2p207tmC12wjt24jmZEWAKIYG6OTeCZ6FEuyFlI77h1MHDuahtYgeexuCG4t7dEDPqYwJ5N3lBVz4syxzDl0LN/Zsp3NzW0AZBhMyclmXkEux4zO55jR+RxfVEh+xuBNPtxe08wVt77CztoW/vavJzF7vGoofaVk0omSiaSbptZ2Wur34g1VRNsaiba3Eg23EQ23Eg234uG2/bdI8JxwO9FIK9H2ViLtrXh7C7Q1Ym2NhMJNZIQbyQw3kR1tIjvSTE60mVxvJouD+ywihNhjo9lsE9lqE9hsE3nLStloU9hiE2gJ5QQZIBTcCvMyKcjPIi83i7ycDPJzMsnLySA3K4P83EzyczNpxNndHubNxhYq28IUZWbwlekTKMrMYGtLG5ubW1nV0My6plYAckPGyWNGcd64Ii6aUDwoiaWippkLfv0ChTkZPPKld1GYo8GqfaFk0omSiSRFSy3U74TG3bQ17ubVmkYe3tHK9lYIR8N4NAwewYhi5riFiMZukQ6Po3RxzKyL1zKIWIhIh/uuzudmb7/PzYLbAC5HkmGQbSFKsjMZl53JjLwc3lFUwEXjx1CUdfAv77pwhKW1jSzaW8dTe+rY3NzGmMwMPl06js9PG0/eACeVVzbt5SM3LebjJ0znhxfM7/0N8jYlk06UTGRARNqhoRJqt0HNVqjZgldvIVK9Bd+7hUjddv5v1Du5e+J5vDB+Ia2ZOQDktDYTikYxd8yjhGL3FnVCHt1/LFYmOBYr497Fa1FC0Y6vx8pHO5y783mi+5+HPEpGJEJGpJ3MSISMcJjMSJiMSHC/73FOKERBbi4FuTkU5uUzOj+PooICSiZOYlzpVMZPnU7BqNEJze1wd16pbeT326p4fHctpblZ3DBvGqcUD2yT1Hf/N9ixcdHXT2P6WO26GC8lk06UTCQuLbVQsTSYS1G/k6bqHYTrK7HGKrJa9hBqraO+PYf6cA47KGZT1mRWFc5m3agZlI+ZwrYJ02nPyiGvuZFDN65kzK49UFtAbnQyRdEQE7IymTdtDIWjsoliEHU86ngUoh78YvWogwf94cFziAYv4lEnGjWi0SiR9iiRtgjhcJRIe5hwOIKHHcehu5sHK7Tnj84if3QWuYUhcvMhvyiD/KIMsnMg0t5GuK2VcFsbLY0NNNfX0VxfR0t9Pc31dTTWVNPe2vL2JRs3fQbTjzyGGUcfx9TDF2AJ1HherG7gm29tY2NTK/8+ezKfmTo+sX/PDirrWjj5p0/z8RPK+N4HDh+w8w53SiadKJlIl1pqg30x1i8iuvVlbPdajOBnfydjeM1nsSprBhuzp7Bh1DRqCoupLxxNQ0ER7VnZb58mFAkzuqaG4t01jN/VSFlNBpPHTObQCSVMnT6aktJCSkpHUTAme1BnaEejTiQcJdIWJdweobUpTGtTOy0NYVqa2mlpaKe5vo2G6lbq97bQsLeFxro2Yl+Z7NwMJs0ZQ9mCEsoWjKWw+OCJf+5Ow9497Cnfys4N69i68g22r11NJBymeNJkFn7gg8w//T2EMvo31LcxHOFLb27l0apafn/4dC6cUJzIJTnAv975Gi+s380r155FdqZWHY6HkkknSibDS1ukjfq2ehraG2hoa6Ap3IRhhCxEyEKYGSGCx+FIlMqaWiqqKqit2UNDYx3NjXsJtzbQ5k5jKJ/qzCKqssZRm1NMY+4YmnKLaM/JO+Azs1tbyK1vIrc5TEGTU9QcoqQpi7Jm4+jiUZTOKmLGUeMYN30UoSQOgU1UuD3C3u2N7N7WQOXWerat3kPd7qDmMe3wQzj2nOlMntPzMiXtrS2sf/UlXnvsQXZuWMf4slmc98VrGFs6tX8xRZ0Ll63jraYWnlo4l2l5Of06T2d/X7mTz/55Kfd+5kSOn3HIgJxzuBv2ycTMzgFuBDKAP7j7dT2VP27hcb745cUHHHMO/o5dfe+uynVXtstyfXh/lzEl+vndlIv3s9yDppOoR4l6lIhHiEajRNn/OOIRHD/g+b7y+97THg7THg3THnXaou20hFtpDrfSHG6mua2JptYGGurraWhrpKmtmab2JprCjTRHm2j1FlppoZ02wqE2ohaJ67snxA0jAyNEhofIIYscyyE3lEt+Zj6jc4oYO6qYspIy5h4ylyPGHsGkwkmEbGj/xevuVO9sYsNrlax4ppzm+namzx/LGZcfRv7o7F7f+9ZLL7Dolt8SjUb46A9/ztjSaf2KY0tzK2e9upbjiwr5y1Ez+3WOzmqb2jnmR//Hl86cw1fOOnRAzjncDetkYmYZwFvAe4By4FXgo+6+urv3FE/J8zM/N6vTiQ4u19W37vJKWO9lPM4/Trsqd9D54o01js/s8vMMorGbd7qPhro4Fnvssdc7Hkt034kMNzIJkUmIHA+RQybZZJDjGW/f55BB9r57Msjy4Bd4iEhwi42YCnmEzGg7mdGgQ5koEDU8GsIjwX0UI2oQDnlws+AWCbVioSZaQ1HqM6Auw6kPhWi0EM0ho9WMSBffNY9cxmWWMCN/OmXFZcyZdBhzx81lZtFMsjN6/mWcbsJtEVb8s4KXH9pIYXEOF339WAqKeq8l1Fbu5K7vfoOs3Fyu+K/fkpmV1a/P/+Xmnfxs005eOuEwygaodnL+r58nNzODez974oCcb7hLNJmk+0Ds44H17r4RwMzuBi4Auk0mU/bAj/6chL9mBQA3h7eTS+ygdbiFwCxIh2Zg+55HLHie5YSyPbjPckK5UUJ5TmZ+lIz8KJlFEUIZvN2/YQSfZ/j+mxEkFPO3P6vLWB0ghHsIorF7D9HmeTRExhP1ENmhJrKtibyManJsf+dzGNialcmq3BxW5mWzNCeHDRnO1nA52+rKebb2BXxLUDaLTBaMmc9Zc87m3BnnUpJXMrAXfRBkZmdwzHumMXFmEQ/duIwnb13NBV85utd+n6LxEznnc1/hgZ/8O2tffJYjTjuzX59/wfgx/GzTTl6sbhiwZHLirLHc+vwmmtrCBywBI4Mj3WsmlwDnuPunYs8/DrzT3b/Q3XtmjJ/k3//wJ/cf6Or7ece/9v2Au7cfeqeD7P9d6R0biTr8+e8Hn3z/e/2gUl3EdeDRg8q4x6LwA4t6hw844Hi04+AecH97+CgOFgmGnoJjUYfYcNJ95fAoId9/Hjvo9S5u++J0j+WTWNnYYxxCOO2hTAwnt72N3HArOeE28tpbKGxrIsP3z7YOWwYbi0upyi8mGkspEbquKQDkeZQ8i2IWBYuCOU4UQlEgSigUxUL7/tgwPJIRXNN9l7aDkDtZhMmmnWzC5Hkr+bSS7y0U0ozhVGVksSErh92ZTnYURkeGdtNXKkVizYbW9f8OicPWWTO45hcP9eu9w71mEhczuxq4GmDatGlc8esfpzgicXe8tZVIbR2RmhoitTXBfU0N7RXbaXrlFdqqqghnQnMog8aMfPZkFPBWRgntRMluj5DX1s6o5lYmNexgan3FwZ9hQd0kiuGxyXsRyyDC/l/oBh2a4zpmC++Y4eMSxWgglwZyqaKIHNrJo5X5hGkzaAgZkWT08QxbunaJ2lnamLLPTvdkUgF0HCZSGjt2AHe/CbgJgtFcyQlNemJmWG4uodxcsiYM3BwCEeneu1L42eleJ38VmGNmM8wsG7gU6F8dTkREBk1a10zcPWxmXwCeIBgafKu7r0pxWCIi0klaJxMAd38MeCzVcYiISPfSvZlLRESGACUTERFJmJKJiIgkTMlEREQSpmQiIiIJS+vlVPrDzKqALUARUNvhpY7POz4uAXYPYAidPzeRst29Hu/xVFyDvnz/eMr35Rr0dqyn65Gqa9Df79/da+nwM9BdbP0tO9x/BuIpn8g1iPdnYK6793/bS3cfljfgpu6ed3q8ZDA/N5Gy3b0e7/FUXIO+fP+Bvga9HevleqTkGvT3+8d7DUba/4Oh+DMw2NcgWT8Dw7mZ6+Eennd+bTA/N5Gy3b0e7/FUXIO+nncgr0Fvx3q7PgMlGT8D3b2WDj8DfT33SP8ZiKd8ItcgKT8Dw66Zq6/MbIknsFLmcKBroGsw0r8/6Bok+v2Hc80kXjelOoA0oGugazDSvz/oGiT0/Ud8zURERBKnmomIiCRMyURERBKmZCIiIglTMumBmV1oZjeb2T1mdnaq40kFM5tpZreY2f2pjiVZzKzAzG6P/dt/LNXxpMJI/HfvSP/3wcwOM7Pfm9n9Zva5Xt8wUJN00u0G3ApUAis7HT8HWAusB74d57mKgVtS/Z1SfA3uT/X3Sda1AD4OfCD2+J5Ux57Kn4eh/u8+AN9/SP7fH+BrEAL+3Ou5U/3lBvGinQoc2/GiEezWuAGYCWQDbwCHAwuARzrdxnd43y+AY1P9nVJ8DYb0L5U+XovvAEfHytyZ6thTcQ2Gy7/7AHz/Ifl/f6CuAXA+8DjwL72dO+13Wuwvd3/WzMo6HT4eWO/uGwHM7G7gAnf/CfD+zucwMwOuAx5399cGN+KBNxDXYLjoy7UAyoFS4HWGUVNwH6/B6uRGN/j68v3NbA1D+P9+d/r6M+DuDwEPmdmjwJ09nXvY/EeJ0xRgW4fn5bFj3fkicBZwiZl9djADS6I+XQMzG2tmvweOMbPvDHZwSdbdtfgrcLGZ/Y7BXXIkHXR5DYb5v3tH3f0MDMf/+93p7mfgdDP7lZn9D3FsnT5sayYDwd1/Bfwq1XGkkrvvAYb7f6YDuHsj8MlUx5FKI/HfvSP93wd3fwZ4Jt7yI61mUgFM7fC8NHZsJNE12E/XQtdgpH9/GKBrMNKSyavAHDObYWbZwKXAQymOKdl0DfbTtdA1GOnfHwboGgzbZGJmdwGLgblmVm5mV7l7GPgC8ASwBrjX3VelMs7BpGuwn66FrsFI//4wuNdACz2KiEjChm3NREREkkfJREREEqZkIiIiCVMyERGRhCmZiIhIwpRMREQkYUomMiyYmcdxO93MPhF7XJjCWG/rENMNKYzj9A5x7E5VHDI8aG0uGS5O7PA4D3ga+A/g0Q7HVwOrYmWbkhdal94kWP9rRwpjeI3gWnwKuDCFccgwoGQiw4K7v7TvcYdax4aOxzuoSk5UPWrsJrakcfc64CUzOyeVccjwoGYuGVE6N3OZWVns+aVm9kczq4stM3FZ7PVvmtl2M6sys5+aWajT+eab2aNmVh+73WdmE/sZ24lm9pCZ7TCzRjN7PZ5tg83smc7b63Zowprfn1hE+krJRCTwU4Imp4uB54DbzewXBBsHXQncAHwT+PC+N5jZbOAFIBe4DPgEcATwcGxjtb6aHjvfVcAHgAeAP5rZR/v3lUSSR81cIoGn3f1aADN7GbiEYMvSee4eAf5uZhcAFwF3x97z78BO4Fx3b4u9dzlBf8h5HNhf0yt333fefbt8PkuwHPingbv6/9VEBp9qJiKBRfsexPoSqoB/xhLJPus5cFfKs4C/AVEzyzSzTGATsBlY2NcAzKw4trPdFqA9drsaOLSv5xJJNiUTkUBNp+dt3RzL7fC8BPgW+3/x77vN5MDNhuJ1G/AR4OfA2cA7gFs7faZIWlIzl0j/7SWomfyhi9f6NG/DzHKB9wP/6u6/73A8nj/4WoDsTseK+/L5IolSMhHpv0UEHe5LPfGNgXIIWgpa9x0ws1EE/Ta9nbscOLXTsbMTjEekT9TMJdJ/3wcWAI+a2SWx4bgfi81wP70vJ3L3WoLtU79nZheb2UXAU0Btx3JmNt3MwmZ2eYfDfyPYdvV6MzvLzP4TOGjuiJmtN7Nb+vQNReKkZCLST+7+FnACwWz6m4DHgR8Q1C7W9+OU/wJsBO4AbiQYGnxHpzIGZNDh/667PwpcSzAC7W8EQ4y/3MX5M2PvFRlw2rZXJMnM7DZgPkEiirp7NEVx7EtM3wM+7+4lqYhDhgfVTERS4ziCkV+/TGEMp8Vi+G4KY5BhQjUTkSQzszKCYcUAu9x9W4riGAXMjT1td/c3UhGHDA9KJiIikjA1c4mISMKUTEREJGFKJiIikjAlExERSZiSiYiIJEzJREREEvb/Adl0zyq+K9o1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d4605d0>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "a0 = np.loadtxt(os.path.join(where, 'area_jp0.dat'))\n",
    "a1 = np.loadtxt(os.path.join(where, 'area_jp1e-3.dat'))\n",
    "a2 = np.loadtxt(os.path.join(where, 'area_jp5e-3.dat'))\n",
    "\n",
    "plt.xscale('log')\n",
    "for i in range(len(a0[0])-1) :\n",
    "    plt.plot(a0[:, 0], a0[:, i+1])\n",
    "plt.xlabel('Time [a.u.]', fontsize=15)\n",
    "plt.ylabel('Area [a.u.]', fontsize=15)\n",
    "plt.title('$\\lambda_{p}=0$', fontsize=15)\n",
    "plt.show()\n",
    "\n",
    "plt.xscale('log')\n",
    "for i in range(len(a1[0])-1) :\n",
    "    plt.plot(a1[:, 0], a1[:, i+1])\n",
    "plt.xlabel('Time [a.u.]', fontsize=15)\n",
    "plt.ylabel('Area [a.u.]', fontsize=15)\n",
    "plt.title('$\\lambda_{p}=1.10^{-3}$', fontsize=15)\n",
    "plt.show()\n",
    "\n",
    "plt.xscale('log')\n",
    "for i in range(len(a2[0])-1) :\n",
    "    plt.plot(a2[:270, 0], a2[:270, i+1])\n",
    "plt.xlabel('Time [a.u.]', fontsize=15)\n",
    "plt.ylabel('Area [a.u.]', fontsize=15)\n",
    "plt.title('$\\lambda_{p}=5.10^{-3}$', fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Probability vs $\\delta$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b5fcc50>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "d_he2, p_he2 = np.loadtxt(os.path.join(where, 'HEX_2layer_asymmetry.dat'), unpack=True)\n",
    "d_jp1e3, p_jp1e3 = np.loadtxt(os.path.join(where, 'pbty_delta_swelling_jp1e-3.dat'), unpack=True)\n",
    "d_jp3e3, p_jp3e3 = np.loadtxt(os.path.join(where, 'pbty_delta_swelling_jp3e-3.dat'), unpack=True)\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "plt.locator_params(nbins=6)\n",
    "plt.grid()\n",
    "\n",
    "plt.plot(d_he2, p_he2, color='#0093E1', label = 'No pumping', linestyle='--', marker='o')\n",
    "plt.plot(d_jp1e3, p_jp1e3, color='#FF0000', label = 'Pumping, $\\lambda_p=10^{-3}$', marker='x', linestyle='--', markersize=10)\n",
    "#plt.plot(d_jp3e3, p_jp3e3, color='#7A6AE8', label = 'Pumping, $\\lambda_p=3.10^{-3}$', marker='H', linestyle='--')\n",
    "\n",
    "plt.legend(fontsize=20)\n",
    "\n",
    "plt.xlabel('Tension asymmetry $\\delta = (\\gamma_2-\\gamma_1)/(\\gamma_2+\\gamma_1)$', fontsize=20)\n",
    "plt.ylabel('Prob. to win at TE-ICM interface', fontsize=20)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Probability vs $\\Gamma$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109babe10>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "G_he2, pG_he2 = np.loadtxt(os.path.join(where, 'pbty_last_GAMMA_asymmetry_regular.txt'), unpack=True)\n",
    "G_jp1e3, pG_jp1e3 = np.loadtxt(os.path.join(where, 'pbty_Gamma_swelling_jp1e-3.dat'), unpack=True)\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "plt.locator_params(nbins=6)\n",
    "plt.grid()\n",
    "\n",
    "plt.plot(G_he2[2:-3], pG_he2[2:-3], color='#FF0000', label = 'No pumping', marker='x', linestyle='--', markersize=10)\n",
    "plt.plot(G_jp1e3, pG_jp1e3, color='#0093E1', label = 'Pumping, $\\lambda_p=10^{-3}$', marker='o', linestyle='--')\n",
    "#plt.plot(d_jp3e3, p_jp3e3, color='#7A6AE8', label = 'Pumping, $\\lambda_p=3.10^{-3}$', marker='H', linestyle='--')\n",
    "\n",
    "plt.legend(fontsize=20)\n",
    "\n",
    "plt.xlabel('Contact tension asymmetry $\\Gamma = (\\gamma_{c2}-\\gamma_{c1})/(\\gamma_{c2}+\\gamma_{c1})$', fontsize=20)\n",
    "plt.ylabel('Prob. to win at TE-ICM interface', fontsize=20)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}