{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Interpolation\n", "\n", "Interpolation is a mathematical technique used to estimate values between a discrete set of known data points. It is also commonly employed to approximate an unknown function based on its known values over a certain range.\n", "\n", "The most common types of interpolation are:\n", "\n", "- **Nearest-neighbor**: Uses the value of the closest data point.\n", "- **Linear**: Constructs straight-line segments between consecutive data points.\n", "- **Polynomial**: Fits a polynomial function to the entire dataset.\n", "- **Spline**: Constructs piecewise polynomials that ensure smoothness at the data points." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example\n", "\n", "Let us consider the function $f(x) = \\operatorname{sin}(x)$ as an example. We will evaluate this function over the range $x \\in [0, 6]$ to demonstrate different interpolation techniques." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x values and corresponding f(x):\n", "x = 0.00, f(x) = 0.0000\n", "x = 1.00, f(x) = 0.8415\n", "x = 2.00, f(x) = 0.9093\n", "x = 3.00, f(x) = 0.1411\n", "x = 4.00, f(x) = -0.7568\n", "x = 5.00, f(x) = -0.9589\n", "x = 6.00, f(x) = -0.2794\n" ] } ], "source": [ "import numpy as np\n", "\n", "def f(x):\n", " return np.sin(x)\n", "\n", "npoints = 7\n", "xdat = np.linspace(0,6,npoints)\n", "# xdat = np.random.rand(7) * 6\n", "# xdat = np.sort(xdat)\n", "# print(xdat)\n", "\n", "fdat = f(xdat)\n", "\n", "xref = np.linspace(0,6,100)\n", "fref = f(xref)\n", "\n", "print(\"x values and corresponding f(x):\")\n", "for x, y in zip(xdat, fdat):\n", " print(f\"x = {x:.2f}, f(x) = {y:.4f}\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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YvHkzd+7c0WxPTk5m/Pjxudbv5ubGpUuXtMZxKYrC9OnTOXfuXIFizMuGDRt45513aNy4MWvXrs1zPJuDgwMWFhYcO3ZMa4mU9PR0JkyYkOsYl6pVq6JSqQo18LhDhw7Uq1cv1yVu1q1bx/79+/Hy8iq1we3Dhw9HURTefvttrYQxJiaGTz75RFOmNPn4+GBoaMjhw4dz3R8REcGoUaOwt7fnl19+wdXVlRUrVvDw4UP69++f61ip1NRUTp48SfPmzQucGJXWGK/CfF9KUvZ0HXl9rrNnz+b3339nwIABjBgxgpEjRzJgwAC2b9/OrFmzcj0mu668xiQK/SEtXkKUsG7duuHu7k5oaCiQNceXiYlJgY49deoUL7zwAi1btqRRo0Y4Oztz9+5dNm/eTHp6Ou+++66mrLGxMZMnT2batGk0b96cF154gYyMDHbt2oWzs3OuM5lPmjSJ119/nRYtWtCvXz+MjY0JDg7m3LlzPPfcc2zdurXI1z148GAyMzN56qmnmD17do79bm5uDB06FAMDA8aPH8/nn39O48aN6d27N2lpaQQFBXHv3j38/f01LULZrKysaNOmDfv372fw4MF4enpiaGjI888/n+d4JJVKxfLly+natSv9+/end+/e1K9fn7CwMDZt2oS1tTUrVqzQdNmWtLfeeos//viDzZs307RpU3r27KmZx+vOnTu88847pfpEI2R1ZXbp0oW9e/dy//59rUH26enpDBgwgISEBLZu3UrNmjUB6NGjB//73//4+uuveeedd3Is0r13717S0tLo169fqcZeEIX5vpSkPn36MHHiRP7880/NuM5sR48e5f3338fDw4NFixZpti9atIijR4/ywQcf4OvrS+vWrbWO27lzJ4aGhvTu3btUYhblSJlMWiFEJfPpp58qgAIoFy5cyLMcj82RFR0drbz//vtK+/btFUdHR8XExESpWbOm0qNHD2X79u05js/MzFS++OILpU6dOoqxsbHi6uqqvP3220piYmKu83gpiqIsXbpUadq0qWJhYaFUq1ZN6dOnj/LPP//kOTfX4zEqSu7zeGVfb16vR+tIT09XZs2apXh7eytmZmaKo6OjMnjwYCUqKkozr1JkZKTWOS9duqQ8++yzip2dnaJSqRRAWbp0qaIoT57L6sKFC8rgwYMVJycnxcjISHFyclJefvnlXP9dnjQ/WX5zieUmOTlZmTFjhtKwYUPFzMxMsbKyUjp06KD8+uuvuZYv6Xm8FEVRNm3apADKggULtLZPnjxZAZRJkyblOCYtLU1p3bq1AiibN2/W2jdw4EDFxMREuX37dqHiLA2F+b7kN4/X4z9vivLkz7ZPnz6Kqamp1lxecXFxiru7u2JiYqIcPXo0xzFHjx5VTExMFHd3dyUuLk7rODMzs1znIxP6R6Uoj61bIIQQQm+o1WoaN26MiYkJJ06cKNZM83fu3MHNzY1BgwbluTxWZRESEkKHDh2YPXs2kyZNKlZd8+bNY/z48ezfvx8fH58SilCUV5J4CSGEntu+fTu9evVi3bp1xeoinDhxIkuWLOHixYslsth0RffSSy+xf/9+IiIiirxgfHJyMh4eHrRv3z7HWEShn2RwvRBC6LmePXsyd+7cAs09lRdFUahRowYrV66UpOtfX3/9Na+//jqRkZFFriMqKorRo0fz9ddfl2BkojyTFi8hhBBCiDIiLV5CCCGEEGVEEi8hhBBCiDIiiZcQQgghRBmRCVTLmczMTG7cuIG1tXWxHvsWQgghRNlRFIUHDx7g7Oz8xImZJfEqZ27cuIGrq6uuwxBCCCFEEURHR+Pi4pLnfkm8yhlra2sg6x/OxsZGx9EIIYQQoiASEhJwdXXV3MfzIolXOZPdvWhjYyOJlxBCCFHB5DdMSAbXCyGEEEKUEUm8hBBCCCHKiCReQgghhBBlRBIvIYQQQogyIoPrhRBCD6Snp6NWq3UdhhB6x9jYGENDwxKrTxIvIYSowBISEoiJiSE1NVXXoQihl1QqFba2tjg5OZXIxOaSeAkhRAWVkJDA9evXsbKywt7eHmNjY1nxQogSpCgKiYmJ3L17F3Nzc6pUqVLsOiXxEkKICiomJgYrKytcXFwk4RKilJibm5OamsqdO3ewtbUt9ndNLwfXr1u3jjfffBMfHx9sbGxQqVQMHjy4SHVdu3aN4cOH4+zsjKmpKW5ubkycOJH79+/neUxISAg9e/bEzs4OCwsLmjRpwpw5c2T8hRCixKSnp5OamloiNwIhxJPZ2NigVqtL5D6uly1en376KadOndL8JXjhwoUi1RMeHk779u25c+cOvXv3pn79+hw5coS5c+eyY8cOgoODqVatmtYxmzdvpl+/fpiZmdG/f3/s7OzYunUrkyZNIjg4mLVr15bEJQohKrnsG4CxsbGOIxFC/xkZZaVLGRkZmv8vKr1s8frmm2+4ePEiCQkJfP/990Wu54033uDOnTt8++23bNq0ic8//5w9e/YwadIkwsLC+PDDD7XKJyQkMHLkSAwNDdm7dy9Llizhq6++4uTJk7Rr145169axevXq4l6eEEJoSGuXEKWvJL9nepl4+fv74+npWawPKjw8nJ07d+Lu7s7YsWO19k2fPh1LS0tWrFjBw4cPNdvXrl1LTEwMAwcOpFWrVprtZmZmfPrppwAsWLCgyDEJIYQQomLTy8SrJAQFBQHQrVs3DAy0PyZra2s6dOhAcnIyoaGhOY7p0aNHjvp8fX2xsLDg0KFD8ti3KLb45HQiYxI5fS2ewxGxnLkez/W4ZFLSZRyh0A/Lli1DpVJpXmZmZjg5OeHv78/MmTO5c+dOkes+d+4c06ZNIyoqquQCBqKiorRiNjAwoFq1avTs2ZNDhw4Vur5p06YVuQGhtK5RFJ9ejvEqCWFhYQB4enrmut/T05OdO3dy8eJFunTpku8xRkZGuLu7c/bsWSIiIvD29n7i+RMSErTem5qaYmpqWujrEBWXoihciU3izI14wm49YHJXL80v4Rm/n2PNsWu5HmdubMiOiT7UrmYJQFxSGuYmhpgaldwEgELPqdVw4ADcvAk1aoCPD5TgBJKFsXTpUurXr096ejp37tzh4MGDfPHFF3z99df89ttvPP3004Wu89y5c0yfPh0/Pz/c3NxKPOY333yTQYMGoVarOXv2LNOnT8ff359Dhw7RvHnzAtczcuTIXP+QL4jSvkZRdJJ45SE+Ph4AW1vbXPdnb4+LiyvWMXlxdXXVeh8YGMi0adPyPU5UbIqicOZ6An+cuckfZ24RGZOo2fdiS1dqVbMAwNrMGCtTI6xMjbAwNSQxNYN7iWmkqxWS09XYmv834HrOX5f4JfQKbetU47mmzvRo5ISNmQzIFnnYsAEmTIBrjyT2Li4wdy707Vvm4TRq1Ehr6Ea/fv2YNGkSHTt2pG/fvly6dAlHR8cyj+tJatWqRdu2bQHo0KEDdevWpUuXLixYsIAff/yxwPW4uLjg4uJSWmEKHZGuxiJSFAUo3IC7whwTHR1NfHy85vX+++8XLVBRYaw9Fo3Pl0E8991BFuwNJzImERNDA5q62DKwdS0e/bGZ0subM9O7c/iDLuz5nx+hHzzNxU+f4fS0bux/218rsQq/+5B0tcKBSzG8s+4fWn3yF6NXHGP76ZtkqDN1cKWi3NqwAQICtJMugOvXs7Zv2KCbuB5Tq1YtZs2axYMHD1i0aJFm+7FjxxgwYABubm6Ym5vj5ubGwIEDuXLliqbMsmXLePHFF4Gs8cDZ3YLLli0DYNeuXfTu3RsXFxfMzMyoW7cur732GjExMUWONzsJezSOn376iaZNm2JmZoadnR0vvPAC58+f1zout65GNzc3nn32WXbs2EGLFi0wNzenfv36/PTTTwW+xhMnTvDss8/i4OCAqakpzs7O9OrVi2uP/7uLUiEtXnnIbp3KbsV6XHZX4KOtW0U5Ji82NjbY2NgUPGBRISmKovnFWs3KhGv3kzEzNqBzfQd6NKpB5/oOWJnm/JrmlryrVCqszYyxfqw1a8Xw1kTGJPL7PzfZcuoGl+48ZOe52+w8d5v6TtZsH++DgYE8GVfpqdVZLV3//oGoRVFApYKJE6F3b511Oz6qZ8+eGBoasn//fs22qKgo6tWrx4ABA7Czs+PmzZt8//33PPXUU5w7dw57e3t69erFZ599xgcffMD8+fNp0aIFAB4eHkDWg1Xt2rVj5MiR2NraEhUVxezZs+nYsSOnT58u0vQdly9fBqB69eoAzJw5kw8++ICBAwcyc+ZMYmNjmTZtGu3atePo0aN5DnHJdurUKf73v//x3nvv4ejoyOLFixkxYgR169bF19f3ideYmJhI165dcXd3Z/78+Tg6OnLr1i2CgoJ48OBBoa9NFIGi54KCghRAefnllwt13I8//qgAyujRo3Pd361bNwVQ/vrrL822l19+WQGUX3/9NUf59PR0xcLCQjEyMlJSUlLyPG98fLwCKPHx8YWKV1Qsp6/FKSOWHVW+2RWm2aZWZyo7z95SElPTS+28mZmZyrkb8crM7eeV5h/vVD7ZelZrf3JaRqmdW5Ss5ORk5dy5c0pycnLJVBgUpChZKdaTX0FBJXO+fCxdulQBlKNHj+ZZxtHRUfH29s5zf0ZGhvLw4UPF0tJSmTt3rmb72rVrFUAJyudaMjMzlfT0dOXKlSsKoGzevPmJ5SMjIxVA+eKLL5T09HQlJSVF+fvvv5WnnnpKAZTff/9duX//vmJubq707NlT69irV68qpqamyqBBgzTbAgMDlcdv07Vr11bMzMyUK1euaLYlJycrdnZ2ymuvvZbvNR47dkwBlE2bNj3xWoS2gnzfCnr/lq7GPPj7+wOwc+dOMjO1u2MePHhAcHAw5ubmmiZkgM6dOwOwY8eOHPXt37+fpKQk2rdvL4PkK7H7iWl8uPE0z313kL/O32bloSukZWT9fBkYqOjawBELk9JriFapVHjXsOG9Z+pz8F1/3uzy31/WRyLv0fnrvew4c0vTLS4qkZs3S7ZcGXj85/Thw4e8++671K1bFyMjI4yMjLCysiIxMTFHN15e7ty5w+uvv46rqytGRkYYGxtTu3ZtgALX8e6772JsbIyZmRktW7bk6tWrLFq0SPN0Y3JyMkOHDtU6xtXVlc6dO7N79+5862/WrBm1atXSvDczM8PLy0urKzMvdevWpWrVqrz77rssXLiQc+fOFeiaRMmp9IlXeno6Fy5cIDw8XGu7h4cH3bp1Iyoqivnz52vtCwwMJDExkVdffRVLS0vN9oCAAOzt7Vm9ejXHjh3TbE9JSWHKlCkAjBkzphSvRpRX6kyFnw9fwX/WXn4JvYqiwLNNarDm9XaYGOnma2hhYqQ1CH/10avciE/h9Z//ZsTyY0TfS9JJXEJHatQo2XKlLDExkdjYWJydnTXbBg0axHfffcfIkSP5888/OXLkCEePHqV69eokJyfnW2dmZibdunVjw4YNvPPOO+zevZsjR45w+PBhgALVATBhwgSOHj3K33//TXh4ODdv3mT06NEAxMbGAlAjl8/R2dlZs/9JHl8xBbKefC9IfLa2tuzbt49mzZrxwQcf0LBhQ5ydnQkMDCQ9PT3f40Xx6eUYr02bNrFp0yYAbt26BcChQ4c0f2HY29vz9ddfA3D9+nW8vb2pXbt2jvlOFixYQPv27Rk/fjy7d+/G29ub0NBQgoKC8PLyYsaMGVrlbWxs+PHHHwkICMDPz08zzmDLli2EhYUREBBA//79S/XaRflz+c5DJv12ktPXs8b+1XO0ZtrzDWnnkfOXpy7N6NMYZ1tzFu0PZ8+FO4SEx/BmZ09G+9bB2LDS/42m/3x8sp5evH4993FeKlXWfh+fso8tF7///jtqtRo/Pz8ga2zttm3bCAwM5L333tOUS01N5d69ewWq88yZM5w6dYply5YxZMgQzfbsMVoF5eLiovUk5qOyk6abubQc3rhxA3t7+0KdqygaN27M6tWrURSFf/75h2XLlvHxxx9jbm6u9dmJ0qGXv01PnjzJ8uXLWb58OX/++ScAERERmm3r1q0rUD0eHh4cO3aMoUOHEhoayqxZswgPD2f8+PEcOnQo1786+vTpw759+/D19WX9+vXMmzcPY2NjZs+ezerVq2V5j0ooJV3NhVsJWJsZEfhcA34f37HcJV0A5iaGvNW9Hn9M8KVdnWqkpGfy1Z9hvLjwkLR+VQaGhllTRgA8/nsq+/2cOeViYP3Vq1d56623sLW15bXXXgOyutEVRckxlGPx4sU5FjbOLvN4C1H27+fH63j0ycniateuHebm5vz8889a269du8aePXs080IWV17X+CiVSkXTpk355ptvqFKlCsePHy+Rc4sn08sWr2nTphV4zis3N7cnjmdxdXVl6dKlhTp/hw4d2L59e6GOEfolQ52J0b+tRI1q2jJvYHNa1KqKg42ZjiPLX10HK34d1YbNJ2/w0eYznIyO46/ztxnWwV3XoYnS1rcvrFuX+zxec+boZB6vM2fOkJGRQUZGBnfu3OHAgQMsXboUQ0NDNm7cqHlS0MbGBl9fX7766ivs7e1xc3Nj3759LFmyhCpVqmjV2ahRIwB++OEHrK2tMTMzw93dnfr16+Ph4cF7772HoijY2dmxdetWdu3aVWLXU6VKFaZOncoHH3zAq6++ysCBA4mNjWX69OmYmZkRGBhYIufJ6xoPHTrEggUL6NOnD3Xq1EFRFDZs2EBcXBxdu3YtkXOLfJTYkH9RIuSpxorvaGSs4vvlHuX0tThdh1Js0fcSlS/+OK9kZmbqOhTxmBJ/qvFRGRlZTy/++mvWfzPK/mnX7Kcas18mJiaKg4OD0qlTJ+Wzzz5T7ty5k+OYa9euKf369VOqVq2qWFtbKz169FDOnDmj1K5dWxkyZIhW2Tlz5iju7u6KoaGhAihLly5VFEVRzp07p3Tt2lWxtrZWqlatqrz44ovK1atXFUAJDAx8YszZTzV+9dVX+V7f4sWLlSZNmigmJiaKra2t0rt3b+XsWe2njPN6qrFXr1456uvUqZPSqVOnfK/xwoULysCBAxUPDw/F3NxcsbW1VVq3bq0sW7Ys35grs5J8qlGlKPL4UnmSkJCAra0t8fHxMo9XBbT+72u8t+Ef0tUKXeo7sGToU7oOqUQlpmbw3obTTO3lndV6V46WlqlsUlJSiIyMxN3dHTOz8t+SKkRFVpDvW0Hv33rZ1ShEWcvMVJi1K4z5QVlPx/Zs7MRXAU11HFXJ+/yPC2w9dYPjV+6z1CUer/fHl5ulZYQQoiLQy8H1QpSl5DQ141Yd1yRd4/zr8t3AFljmMuN8RTfSx5069pZcj0um39/pBBs+9pBAOVtaRgghyhtJvIQohvuJaQz48TDbT9/C2FDFrBeb8lb3enq7BE/tapZseK0Nre9c4oGpJUNenM7aRo88hZU9cmHixKxuSCGEEFok8RKiGCxMDbE1N6aqhTG/jGxLv5Yuug6p1FX5O5QVK97huXP7yDA04u1ek1jQJuC/AooC0dFZY7+EEEJokcRLiGIwNTLkh1dasnlsR1q72+k6nLJx8yZm6nTmbv2aNw6tAWBx6xeINbfJUU4IIYQ2/RuEIkQpu3Y/ic0nb/CGnwcqlQozY0NqVbPQdVhl59+lTgxQeGf/CuySE2gfdYpqyQm5lhNCCPEfSbyEKISrsUkM/PEw1+OSMTZUMdrXQ9chlb3HlpYZeXST1u5rtg642JiWm6VlhBCiPJGuRiEK6GZ8sibpqmNvyXNNnfM/SB89YWmZI64N6TZ8PrPfmifzeQkhRC4k8RKiAOKS0nh1yRFN0rX6tbbUsDXXdVi6k720TM2aWpvP1GtJkok5394wYvGBCB0FJ4QQ5Zd0NQqRj6S0DIYtO8qlOw9xsjFjxYjWOFjLTOH07Qu9e2vNXD/cx4eUA5F8uSOMT38/T3VrU3o3q5l/XUIIUUlI4iXEox5bAkfp2JE3fjnOiatx2Jobs2JEa1yqVqKB9PkxNAQ/P61NYzp5cCchlWUhUby19hTVLE3p6Gmvm/iEEKKcka5GIbJt2ABubuDvD4MGgb8/Knd3eqbdwNrUiJ+GPoWXo7Wuoyz3VCoVHz3bgF5NapCuVnht5THOXI/XdViiglm2bBkqlUrzMjIyokaNGgwYMIBLly4Vud7du3fTqlUrLC0tUalUbNq0qeSCrmD27t2r9Rk/+goICMi/glK0fft2pk2blus+Nzc3hg4dWqbxlCRp8RICspKugID/Zl7Pdv06L43pS9dV66hau6puYquADAxUzH6pKfcepnEoIpafDkYyu38zXYclKqClS5dSv359UlJSCA4OZsaMGQQFBXHhwgWqVi3cd1JRFF566SW8vLzYsmULlpaW1KtXr5Qirzg+++wz/P39tbZVq1Ytj9JlY/v27cyfPz/X5Gvjxo1PXIS6vJPESwi1GiZM0Eq69rm3oPGty9glJ4BKRdW3J0JAb3lSrxBMjQxZ9GpLFh+I5M3OdXUdjqigGjVqRKtWrQDw8/NDrVYTGBjIpk2bGDZsWKHqunHjBvfu3eOFF16gS5cu+R9QAOnp6ZoWuYrK09OTtm3b6jqMAmvevLmuQygW6WoU4sABuHZN8/ZEDS9G9Z1C71dnc8uqmiyBUww2ZsZM7uqFseF/v2qUx1sVRalISsvI85WSri6TsqUhOwm7ffu21vZjx47x/PPPY2dnh5mZGc2bN2fNmjWa/dOmTcPFJWtJr3fffReVSoWbm5tm/6VLlxg0aBAODg6Ympri7e3N/Pnztc6R3TW3cuVK/ve//1GzZk1MTU25fPkyAH/99RddunTBxsYGCwsLOnTowO7du7XqmDZtGiqVirNnzzJw4EBsbW1xdHRk+PDhxMdrd8lnZmYyb948mjVrhrm5OVWqVKFt27Zs2bJFq9xvv/1Gu3btsLS0xMrKiu7du3PixIkifLo55dWt5+fnh98j4zuzP5tVq1bx4Ycf4uzsjI2NDU8//TRhYWE5jt+xYwddunTB1tYWCwsLvL29mTlzJgBDhw7VfPaPdn9GRUXlGdPVq1cZPHiw1r/frFmzyMzM1JSJiopCpVLx9ddfM3v2bNzd3bGysqJdu3YcPny4eB9UIVTcFF2IkvLI0jY3rasxuu8U0oxMqHf3Cg4P7+VaThRehjqTT38/j6WpIW93r6/rcPReg4/+zHOff73qLB3WWvO+5Sd/kZxH0tTG3Y7fXmuned/xiyDuJablWraJiy1bxnUsYsQFExkZCYCXl5dmW1BQED169KBNmzYsXLgQW1tbVq9eTf/+/UlKSmLo0KGMHDmSpk2b0rdvX958800GDRqEqakpAOfOnaN9+/bUqlWLWbNm4eTkxJ9//sn48eOJiYkhMDBQK4b333+fdu3asXDhQgwMDHBwcODnn3/m1VdfpXfv3ixfvhxjY2MWLVpE9+7d+fPPP3O0sPXr14/+/fszYsQITp8+zfvvvw/ATz/9pCkzdOhQfv75Z0aMGMHHH3+MiYkJx48f1yQgkNVNOGXKFIYNG8aUKVNIS0vjq6++wsfHhyNHjtCgQYN8P9PMzEwyMjK0thW1Be+DDz6gQ4cOLF68mISEBN59912ee+45zp8/j+G/PQZLlixh1KhRdOrUiYULF+Lg4MDFixc5c+YMAFOnTiUxMZF169Zx6NAhTd018lgN4+7du7Rv3560tDQ++eQT3Nzc2LZtG2+99Rbh4eEsWLBAq/z8+fOpX78+c+bM0ZyvZ8+eREZGYmtrW6TrLgxJvIT498ucbGTK6BemcNfKjnp3o5iz7WsMUHKUE0UTHB7LspAoAOo72VTeCWhFoajVajIyMjRjvD799FN8fX15/vnnNWXeeOMNGjZsyJ49ezQJQ/fu3YmJieGDDz7g1VdfxcXFRZNc1KpVS6trbfLkyVhbW3Pw4EHN2KGuXbuSmprK559/zvjx47XGk3l4eLB27VrN+6SkJCZMmMCzzz7Lxo0bNdt79uxJixYt+OCDDwgNDdW6rhEjRvD2228D8PTTT3P58mV++uknlixZgkql4sCBA6xcuZIPP/yQTz/9VHNcjx49NP8fHR1NYGAg48aN49tvv9Vs79q1K56enkyfPp3ffvst38+4f//+ObZdunSJunULP0SgQYMG/Pzzz5r3hoaGvPTSSxw9epS2bdvy8OFDJk+eTIcOHdizZw+qfydhfjQx9fDwwNHREaBAXaCzZ8/m+vXrhIaG0rp11h8U3bt3R61Ws3DhQiZOnKiVqFtbW7Nt2zZNIujs7Ezr1q35448/GDBgQKGvubAk8RLCxwfFxYW3WwzidA1P7JLiWbz+E6zSkrP2q1RZS+TIEjjF0smrOq/51mHR/gjeXncKd3tLGtUs/b8uK6tzH3fPc5/BYysO/D316QKXPfiufx4lc5YtCY/feL29vdm8ebMmwbp8+TIXLlzg66+/BtBquenZsyfbtm0jLCwMb2/vXOtPSUlh9+7djBkzBgsLixzHf/fddxw+fJhnnnlGs71fv35adYSEhHDv3j2GDBmSo+WoR48efPnllyQmJmJpaanZ/mjiCNCkSRNSUlK4c+cOjo6O/PHHHwCMHTs2z8/mzz//JCMjg1dffVXrvGZmZnTq1ImgoKA8j33UF198QefOnbW2ubq6FujYx+V2XQBXrlyhbdu2hISEkJCQwBtvvKFJuoprz549NGjQQJN0ZRs6dCjff/89e/bs0Uq8evXqpUm6Ho+xLEjiJYShIcvfn8e2q8YYqTP4fuNnuMb/O34k+xfDnDkysL4EvNOjPmG3H7A37C6jVxxj65sdqWZlquuw9JKFScF/vZdW2ZKwYsUKvL29efDgAb/99huLFi1i4MCBmsQke6zXW2+9xVtvvZVrHTExMXnWHxsbS0ZGBvPmzWPevHkFOv7xLq/sGJ40BcO9e/e0Eq/HnxrM7vZMTs76g+/u3bsYGhri5OSUZ53Z533qqady3W9gULBh3HXq1NGMnSuuglwXoBlvVxJiY2O1xutlc3Z21uwvTIylTRIvUemlZWSyIqkKkMiHJ9bT5trZ/3a6uGQlXX376ig6/WJooGLugOa8MD+YiJhEJq85xdKhT2FgUPItJUI/eHt7a5ICf39/1Go1ixcvZt26dQQEBGBvnzU57/vvv0/fPL6nT5oyomrVqhgaGvLKK6/k2brk7u6u9f7xlprsGObNm5dn11h211lBVa9eHbVaza1bt/Ic25R93nXr1lG7du1C1V9QZmZmpKam5tgeExOjOX9hVK9eHYBrjzzQVFzVqlXjZi5jcG/cuAFQpDhLkyReotIzMTJg4xsd+O3YVYZ++hMcHK6ZuR4fH2npKmG25sYsGNyC3t8Fs+/iXRbtj2CMn4euwxIVxJdffsn69ev56KOP6Nu3L/Xq1cPT05NTp07x2WefFbo+CwsL/P39OXHiBE2aNMHExKTQdXTo0IEqVapw7tw5xo0bV+jjc/PMM88wc+ZMvv/+ez7++ONcy3Tv3h0jIyPCw8NzdH+WFDc3N/755x+tbRcvXiQsLKxICU379u2xtbVl4cKFDBgwIM/uxkdboczNn7wubpcuXZg5cybHjx+nRYsWmu0rVqxApVLlmKNM1yTxEgKwtTBmtO+/N//HlsARJa++kw0f927IJ9vOU8tOlmASBVe1alXef/993nnnHX799VcGDx7MokWLeOaZZ+jevTtDhw6lZs2a3Lt3j/Pnz3P8+HGtgfC5mTt3Lh07dsTHx4cxY8bg5ubGgwcPuHz5Mlu3bmXPnj1PPN7Kyop58+YxZMgQ7t27R0BAAA4ODty9e5dTp05x9+5dvv/++0Jdp4+PD6+88gqffvopt2/f5tlnn8XU1JQTJ05gYWHBm2++iZubGx9//DEffvghERER9OjRg6pVq3L79m2OHDmCpaUl06dPL9R5H/fKK68wePBg3njjDfr168eVK1f48ssvNS1XhWVlZcWsWbMYOXIkTz/9NKNGjcLR0ZHLly9z6tQpvvvuOwAaN24MZI0/e+aZZzA0NMwzMZ40aRIrVqygV69efPzxx9SuXZvff/+dBQsWMGbMGK3xXeWBJF6i0lpyMBJzY0MGtnYtsUGeouBeauWKf30HWXBcFNqbb77Jd999x8cff8zAgQPx9/fnyJEjzJgxg4kTJ3L//n2qVatGgwYNeOmll/Ktr0GDBhw/fpxPPvmEKVOmcOfOHapUqYKnpyc9e/YsUEyDBw+mVq1afPnll7z22ms8ePAABwcHmjVrVuTlbZYtW0aLFi1YsmQJy5Ytw9zcnAYNGvDBBx9oyrz//vs0aNCAuXPnsmrVKlJTU3FycuKpp57i9ddfL9J5HzVo0CBu3LjBwoULWbp0KY0aNeL7778vVkI3YsQInJ2d+eKLLxg5ciSKouDm5saQIUO0zhscHMyCBQv4+OOPURSFyMjIXMdyVa9enZCQEN5//33ef/99EhISqFOnDl9++SWTJ08ucpylRaXIbIblSkJCAra2tsTHx1foJRHKu2NR9+j/w2HUmQo/j2gjiziXA/cS06hibizjvQooJSWFyMhI3N3dMTOT5FWI0lSQ71tB798yc72odB6kpDNh9UnUmQq9mznToa5u1yQTEHw5hm7f7GPxwQhdhyKEEKVKrxOva9euMXz4cJydnTE1NcXNzU3TDF0Qy5Yty3Pl9uyX4WMDr7OXJMjrVRaTs4knm7blHNfjknGpas6nfRpJN2M5cCU2iZiHaXz1ZxjnbiToOhwhhCg1ejvGKzw8nPbt23Pnzh169+5N/fr1OXLkCHPnzmXHjh0EBwfnu/p6s2bNciwVke3AgQPs2bNHa1K9RzVt2pQ+ffrk2N6oUaNCX4soOdtP32T98WsYqOCb/s2wNjPWdUgCGNjalaCwO+w6d5tJv51k87gOmBnL06RCCP2jt4nXG2+8wZ07d/j222958803NdsnT57MN998w4cffsjChQufWEezZs1o1qxZrvvatctau2z06NF5Hjtt2rQixS5Kx634FD7YeBqAN/zq8pSbnY4jEtlUKhUz+zbmxNX7hN1+wOxdF/mgZ+4zjQshREWml12N4eHh7Ny5E3d39xwT4k2fPh1LS0tWrFjBw4cPi1T/mTNnOHz4MDVr1qRXr14lEbIoAyHhMSQkp9O4pi0TnvbUdTjiMfZWpnzeN2vpjh8PRHA4IjafI4QQouLRy8Qre32qbt265Vgywdramg4dOpCcnJxj0dKCWrRoEZD1SOzjY7yy3bhxg0WLFvHZZ5+xaNGiHBPQibLXt4ULv73WjjkDmmFsqJc/+hXe0w0cGfCUK4oC/1tzigcp6boOqdyTB9OFKH0l+T3Ty67GsLAwADw9c2/V8PT0ZOfOnVy8eFFrRfSCSE5O5ueff8bAwICRI0fmWW7Xrl3s2rVLa5ufnx/Lly+nVq1a+Z4nIUF7gLGpqalmJl9RdNK9WP5NebYBweEx8m+VD2NjY1QqFYmJifnO7C2EKJ6kpCQg63tXXHqZeMXHxwNga2ub6/7s7XFxcYWue82aNcTFxdGrV69cV2+3sLBg6tSp9OnThzp16gDwzz//MG3aNIKCgujSpQsnT57UWiw1N4/XHRgYKGPGiiAzU+Hjbed4pV1tPKpb6TocUQBWpkZsHdeRKhaFX7qlMjE0NMTW1pa7d++SmpqKjY0NRkZG8pSuECVIURSSkpI0k+rm1ctVGHqZeOUnu8mwKL+gfvjhBwBee+21XPc7ODjkWFfL19eXnTt30rFjR0JDQ1m8eDETJkx44nmio6O1JmCT1q6iWXEoimUhUWw9dYPg9zrLk3IVxKNJl6IopKsVTIyke/hxTk5OmJubc+fOnRyt5EKIklOlShWcnJxKpC69TLyyW7SyW74el/0LKq8WsbycO3eOkJAQXFxcCryMRDYjIyNGjhxJaGgo+/fvzzfxsrGxkZnriyn6XhJf/pnV7Tyxq5ckXRXQrfgUpmw6Q3VrU2b2bazrcModlUpFlSpVsLW1Ra1Wk5GRoeuQhNA7xsbGJdLSlU0vE6969eoBWSuo5+bSpUsAhV44syCD6p/EwcEBgMTExEIfKwpHURTe33CapDQ1rd3teLl1/uPqRPlzJTaRv87fBuC5pjVo7yFLO+VGpVJhZGSEkZFe/koXQq/oZdu9v78/ADt37iQzM1Nr34MHDwgODsbc3Jy2bdsWuM6UlBRWrlyJgYEBI0aMKFJc2U9RZo/9EqVnzbFoDl6OwczYgC/7NZH1/yqoNnWqMbhtVtL8/obTJKepdRyREEIUj14mXh4eHnTr1o2oqCjmz5+vtS8wMJDExEReffVVzQD39PR0Lly4QHh4eJ51rl27lvv379OzZ89cB9VnCw0NJS0tLcf2ffv2MXv2bCBrFXtRem7Fp/DptvMA/K9rPdzsn/wggyjf3u1Rnxq2ZlyJTeKbv3JvxRZCiIpCb9ulFyxYQPv27Rk/fjy7d+/G29ub0NBQgoKC8PLyYsaMGZqy169fx9vbm9q1axMVFZVrfdmD6vOaqT7bu+++y9mzZ/Hz88PFxQWA06dPs3v3bgA++eQT2rdvXwJXKPLyw/4IHqRm0NS1CsM7uus6HFFM1mbGzHihEcOXHWPxgQh6Na5BU9cqug5LCCGKRKXo8ex70dHRfPTRR+zYsYPY2Fhq1KhBnz59CAwMxM7uvzmCoqKicHd3zzPxOn/+PA0aNMDFxYWoqKgnju9asmQJGzdu5MyZM8TExJCeno6joyPt2rVj3Lhx+Pj4PDHmhIQEbG1tiY+Pl8H1RZSuzmTJwUj86zlQz8la1+GIEjJh9Qk2n7xBfSdrtr3ZESOZBFcIUY4U9P6t14lXRSSJlxC5i32YSpfZ+7A2M+LnEW2oXU26kIUQ5UdB799629UoKp9D4bG0rF1V5nvSU9WsTFkxvDVejtYyNYgQosKSO5TQCxdvP+CVJaH0/PYA8Umyvp++auJSRZIuIUSFJomXqPAyMxU+3HiajEwFd3tLbC2Kv5aWKN/UmQorDkURfDlG16EIIUShSOIlKrx1x69xNOo+5saGTHu+oa7DEWVg8YEIPtp8lg83niYlXeb2EkJUHJJ4iQotLimNmduz5uya+LQnNauY6zgiURYGtamFg7UpUbFJLNoXoetwhBCiwCTxEhXa7F0XuZ+UjpejlczZVYlYmxkz9dkGAMzfe5krsbIMlxCiYpDES1RY528m8PPhKwBMe74hxjKvU6XybJMa+Hjak5aRyae/n9d1OEIIUSBypxIVlpmxIe097OnZ2EkWT66EVCoVgc81wMhAxa5ztzlw6a6uQxJCiHxJ4iUqLHd7S1aOaM2sF5vpOhShI3UdrHm1nRsAn247j8wHLYQo72QCVVGhqVQqzE1kXqfKbEIXT67eS2Li056oVCpdhyOEEE8kiZeocObtvsSdB6lM7upFVUsTXYcjdMzWwpjFQ1rpOgwhhCgQ6WoUFcq1+0l8F3SZlYevEBIeq+twRDl0LzFN1yEIIUSeJPESFcrMPy6QmpFJG3c7ejZ20nU4ohzJzFSY8fs52s3czYVbCboORwghciWJl6gw/r5yn9//uYlKBYHPNZTxPEKLgYGKG3EppGZkMn3LORloL4QolyTxEhWComS1ZgC82NKFBs42Oo5IlEfv96yPiZEBhyJi2XPhjq7DEUKIHCTxEhXCH2ducfxqHObGhvyvWz1dhyPKKZeqFgzvkLWCwWfbz5OhztRxREIIoU0SL1HuKYrCgr2XARjtWwdHGzMdRyTKszf8PahqYUz43UR+Oxat63CEEEKLJF6i3FOpVCwf1prXO3kw2reOrsMR5ZyNmTETungC8M2uizxMzdBxREII8R9JvESFUM3KlPeeqY+lqUw9J/I3qE1t3KpZkJSm5vS1eF2HI4QQGnIXE+VaxN2H1KlupeswRAVjYmTAvIEtcLQ1xcFauqaFEOWHtHiJcutqbBLd5+znlSWhJKVJd5EonMYutpJ0CSHKHUm8RLk1a1cY6eqsuZgsTKRxVhRdSHgMl24/0HUYQgghiZcon87eiGfzyRsAvNujvo6jERXZwn3hDPoxlJl/XNB1KEIIIYmXKJ+++jMMgOebOtOopq2OoxEVWfeGThgaqNhz4Q5HIu/pOhwhRCUniZcodw5HxLI37C5GBiomd/XSdTiignO3t6T/U64AfLnjgiwlJITQKUm8RLmiKApf7MjqEhrYuhZu9pY6jkjog/GdPTE1MuDYlfsEhclSQkII3ZHES5Qrdx+kci8xDXNjQ97sUlfX4Qg94WRrxtAObgB8uSOMzExp9RJC6IZeJ17Xrl1j+PDhODs7Y2pqipubGxMnTuT+/fsFrsPNzQ2VSpXry8nJKc/jQkJC6NmzJ3Z2dlhYWNCkSRPmzJmDWq0uiUvTWw42Zvw1uROrRreVqQBEiRrTyQNrMyMu3HrAllM3dB2OEKKS0ttn9MPDw2nfvj137tyhd+/e1K9fnyNHjjB37lx27NhBcHAw1apVK1Bdtra2TJw4Mcd2K6vcJ/bcvHkz/fr1w8zMjP79+2NnZ8fWrVuZNGkSwcHBrF27tjiXpveMDQ1o5lpF12EIPVPFwoTXO3mw+uhVWQFBCKEzKkVPR5p2796dnTt38u233/Lmm29qtk+ePJlvvvmG1157jYULF+Zbj5ubGwBRUVEFOm9CQgIeHh4kJCQQHBxMq1atAEhJSaFz584cOnSIVatWMWDAgDyPt7W1JT4+HhsbmwKdUx+kZqjZfPIGfZrVxMRIrxtihQ6lpKsxUKnkZ0wIUeIKev/Wy98+4eHh7Ny5E3d3d8aOHau1b/r06VhaWrJixQoePnxY4udeu3YtMTExDBw4UJN0AZiZmfHpp58CsGDBghI/b0W3+kg076z7h5cXH9Z1KEKPmRkbStIlhNApvWxvDwoKAqBbt24YGGj/krW2tqZDhw7s3LmT0NBQunTpkm99qamp/Pzzz1y9ehVLS0uaNGmCr68vhoaGeZ67R48eOfb5+vpiYWHBoUOHSE1NxdTUtCiXp3eS09R8F3QZgOeb1dRxNKIySMvIZN3f1zA0gP5P1dJ1OEKISkQvE6+wsKzJNz09PXPd7+npyc6dO7l48WKBEq9bt27xyiuvaG1zd3dn6dKldOrUqcDnNjIywt3dnbNnzxIREYG3t3ee50xISNB6b2pqqreJ2s+Hr3D3QSo1q5jTv5WrrsMRlcAfZ27ywcbTVLUwplcTZ6xkzJcQoozoZZt7fHw8kDUoPjfZ2+Pi4vKta9iwYezevZtbt26RmJjI6dOnee2114iKiuKZZ57h1KlTpXJuV1dXbG1tNa+ZM2fmG2tFlJiawff7wgGY0MVTuoFEmejVuAZ17C25n5TOsuBIXYcjhKhEKuWfednPE6hUqnzLBgYGar1v1KgRCxcuxMrKilmzZjFt2jQ2btxY4ueOjo7WGpynr61dy0KiuJeYhls1C/q2kG5GUTaMDA2Y8LQnE1af5If9EbzSzg1bc2NdhyWEqAT0snkhu1Upu/XpcdndeHm1ShXE66+/DsD+/ftL5dw2NjZaL31MvOKT01n0b2vXxKe9MDLUyx9HUU4928QZTwcrElIyWHJQWr2EEGVDL+909erVA+DixYu57r906RIAXl5FXwfQwcEBgMTExAKfOyMjg8jISIyMjKhTp06Rz60vEpLTaepaBU8HK55r6qzrcEQlY2igYtK/a4H+dDCS+4lpOo5ICFEZ6GXi5e/vD8DOnTvJzMzU2vfgwQOCg4MxNzenbdu2RT5HaGgoQI4EqnPnzgDs2LEjxzH79+8nKSmJ9u3b62ULVmG52lmwckQb1o1pj6FB/t2+QpS0Hg2d8K5hw8PUDH44EKHrcIQQlYBeJl4eHh5069aNqKgo5s+fr7UvMDCQxMREXn31VSwtsxZgTk9P58KFC4SHh2uVPXv2LPfu3ctRf3R0NOPGjQNg8ODBWvsCAgKwt7dn9erVHDt2TLM9JSWFKVOmADBmzJjiX6QekbE1QlcMDFRM7uqFj6c93Ro46jocIUQloLcz1z++ZJC3tzehoaEEBQXh5eVFSEiIZsmgqKgo3N3dqV27ttYM9dOmTePzzz/H398fd3d3rK2tiYiIYNu2baSkpNCzZ082btyIiYmJ1rk3bdpEQEAAZmZmDBgwADs7O7Zs2UJYWBgBAQGsWbMmz8H1lWHm+nuJaSzaF84IH3dZj1HonKIoBXrQRgghnqSg92+9farRw8ODY8eO8dFHH7Fjxw62b99OjRo1GD9+PIGBgdjZ2eVbh7+/P2FhYZw4cYJDhw6RmJhIlSpV6NixI6+88gqvvPJKrr+w+/Tpw759+5gxYwbr168nJSWFunXrMnv2bMaPH1/pf8kvPhDBov0RHLtyn/Vj2us6HFHJVfbvoxCibOlti1dFpe8tXvcT0+j4xR4S09QseqUl3Rs66TokIQC48yCFH/ZFYGFqxOSuRX/wRghROVXqtRpF+bXkYCSJaWoa1LCRMTWiXDlzPZ7FByP5cX8EsQ9TdR2OEEJPSeIlykxcUhrLQqIAGN/FU7p4RLniX8+BJi62JKer+fGAzOslhCgdkniJMrPkYCQPUzPwltYuUQ6pVCrGd85aY3XFoawVFYQQoqRJ4iXKRFxSGkuDowCY0KUuBjJvlyiHung70NDZhqQ0NYtlXi8hRCmQxEuUCUWBgJYuNHWtQrcGMqBelE8qlYrxXbJavZaHRMls9kKIEieJlygTVS1NmPZ8QzaMaS+tXaJc69bAEe8aNiSmqfkpWMZ6CSFKlt7O4yXKJ1kaSJR3KlXWbPbBl2MY3La2rsMRQugZafESpSoxNYPxq05w4up9XYciRIF1beDItOcb4mgjKysIIUqWJF6iVP0SeoUtp24wec0pMjNlrl5RMck800KIkiKJlyg1KelqftifNUZmjJ+HjO0SFc7pa/EMX3aUH/bLE45CiJIhiZcoNb8djSbmYSo1q5jzQvOaug5HiEK7cCuBPRfu8OOBSFLS1boORwihByTxEqUiNUPNwn3hQFZrl7Gh/KiJiqdP85rUrGJOzMNUfjsaretwhBB6QO6GolRsOH6dm/EpONqYEtDSRdfhCFEkxoYGvO7nAcDCfeGkZWTqOCIhREUniZcocRnqTBbsvQzAaF8PzIwNdRyREEX3YksXHKxNuRmfwsYT13QdjhCigpPES5S4TAVG+9ShcU1bBrZ21XU4QhSLmbEho33rALBgbzgZamn1EkIUnSReosSZGBnwSjs3tozrgIWJzNErKr5BbWpR1cKYK7FJ/HHmlq7DEUJUYHJXFKVGpZLpI4R+sDAx4u3u9clUFLo2cNR1OEKICkwSL1FiFEVh8ppTdKxrz/PNnOVJRqFXBrWppesQhBB6QO6MosQcCo9l44nrfLDxNHFJ6boOR4hSk5mpyGz2QogikcRLlJgFe7Pm7er/lCvVrU11HI0QpWPTies8/c0+QiPv6ToUIUQFJImXKBH/XIvj4OUYDA1UjPKpo+twhCg1x67cI+JuouYPDSGEKAxJvESJWBCUdRPq3dQZVzsLHUcjROkZ7eOBgQr2X7zLmevxug5HCFHBSOIliu3ynYf8eS7rEfvsWb6F0Fe1qlnwXFNnAL7fJ61eQojCkcRLFNvCfeEoCnRr4IiXo7WuwxGi1I359w+MP07fJDImUcfRCCEqEkm8RLG90Lwm7epU4w3/uroORYgyUd/Jhi71HchUYJG0egkhCkESL1FsHeras2p0W5q5VtF1KEKUmexWr/XHr3HnQYqOoxFCVBQygaoQQhRBKzc7RvvWwc+rOtWtZPoUIUTB6HWL17Vr1xg+fDjOzs6Ympri5ubGxIkTuX//foGOj42NZfHixbzwwgvUrVsXc3NzbG1t6dixI0uWLCEzM+diuVFRUahUqjxfAwYMKOnL1JklByP56s8L3H2QqutQhNCJD3p6076uvSyPJYQoML1t8QoPD6d9+/bcuXOH3r17U79+fY4cOcLcuXPZsWMHwcHBVKtW7Yl1rF27ljFjxuDk5ETnzp2pVasWt2/fZsOGDYwcOZLt27ezbt26XH/pNm3alD59+uTY3qhRo5K6RJ1KTlMzP+gy9xLT8HK0pnezmroOSQidysxUMDCQBEwI8WR6m3i98cYb3Llzh2+//ZY333xTs33y5Ml88803fPjhhyxcuPCJdXh5ebFp0yaeffZZDA0NNds/++wzWrduzYYNG1i/fj0BAQE5jm3WrBnTpk0rsespb9b+Hc29xDRc7czp1biGrsMRQmcSUzOYt+cyO8/dYvt4H8yMDfM/SAhRaellV2N4eDg7d+7E3d2dsWPHau2bPn06lpaWrFixgocPHz6xns6dO9O7d2+tpAvAycmJ119/HYC9e/eWaOwVQYY6kx/2RwAwyqcORrIYtqjETIwM2HLyOhF3E9l44rquwxFClHN6eccMCgoCoFu3bhgYaF+itbU1HTp0IDk5mdDQ0CKfw8TEBABjY+Nc99+4cYNFixbx2WefsWjRIv75558in6u8+f30Ta7dT8bO0oQXW7rqOhwhdMrY0IAR/y6T9cP+CNSZsni2ECJvetnVGBYWBoCnp2eu+z09Pdm5cycXL16kS5cuha4/IyOD5cuXA9CjR49cy+zatYtdu3ZpbfPz82P58uXUqlUr33MkJCRovTc1NcXUVPdPTimKwsJ9Wa1dQ9u7YW4i3SpCDHjKlW93XyIyJpGdZ2/xjHS/CyHyoJctXvHxWeun2dra5ro/e3tcXFyR6n/vvfc4c+YMzzzzDN27d9faZ2FhwdSpU/n777+5f/8+9+/fZ9++ffj7+7N37166dOlCYmL+M127urpia2urec2cObNIsZa0/ZdiOH8zAQsTQ15tV1vX4QhRLliaGmm+D1krOUirlxAid3rZ4pWf7F+KRXkEfM6cOcyaNYt69eqxYsWKHPsdHBz4+OOPtbb5+vqyc+dOOnbsSGhoKIsXL2bChAlPPE90dDQ2Njaa9+WhtQugjr0lL7epha25MVUsTHQdjhDlxpD2bvywP4JT1+I5HHGPdh5PfmpaCFE56WWLV3aLVnbL1+Oyu/HyahHLy9y5c5k0aRLe3t7s3bsXe3v7Ah9rZGTEyJEjAdi/f3++5W1sbLRe5SXxcrWzYMYLjXmnR31dhyJEuWJvZcqLrVwA+GG/LCMkhMidXrZ41atXD4CLFy/muv/SpUtA1nQRBfX111/z9ttv06hRI3bv3o2Dg0Oh48o+piBdjUKIimeUTx0MVSpGdKyj61CEEOWUXrZ4+fv7A7Bz584cs8s/ePCA4OBgzM3Nadu2bYHqmzlzJm+//TbNmjUjKCioSEkXoHmKsk6divdLOfpeEmN/Pc6p6DhdhyJEuVW7miXTezeiVjULXYcihCin9DLx8vDwoFu3bkRFRTF//nytfYGBgSQmJvLqq69iaWkJQHp6OhcuXCA8PGf3wCeffMIHH3xAy5Yt2b17d77di6GhoaSlpeXYvm/fPmbPng3A4MGDi3ppOrPkYCS//3OTr3eG6ToUISoMGWQvhHicStHT3wyPLxnk7e1NaGgoQUFBeHl5ERISolkyKCoqCnd3d2rXrk1UVJSmjuXLlzN06FAMDQ158803cx0T5ubmxtChQzXv/fz8OHv2LH5+fri4ZI33OH36NLt37wayErkpU6bkGXdCQgK2trbEx8drDa7XpfuJabT/fA/J6WpWjmiNj2d1XYckRLl2/mYCc/66iLu9Fe89I+MhhagMCnr/1ssxXpDV6nXs2DE++ugjduzYwfbt26lRowbjx48nMDAQOzu7fOuIjIwEQK1WM2fOnFzLdOrUSSvxeuWVV9i4cSNHjx7ljz/+ID09HUdHR1566SXGjRuHj49PSVxemfr58BWS09U0qGFDx7oFf6BAiMrqZnwyf569jZVpLG/4e2BjlvtEy0KIykdvW7wqqvLW4pWSrqbjF3uIeZjGnP7N6NNcFsMWIj+ZmQrd5uzn8p2HvP9MfV7r5KHrkIQQpayg92+9HOMlSs6G49eJeZhGzSrm9Gois3ELURAGBipG/7uM0NLgKNIyMvM5QghRWUjiJfKUmamw+EDW8kDDO7pjLIthC1FgvZs742Btyq2EFLaeuqHrcIQQ5YTcSUWeMjIVBrWpRX0na/o/JYthC1EYpkaGDO3gBsCPByLkCUchBCCJl3gCEyMDRvrU4Y8JPliZ6u1zGEKUmpfb1MbSxJALtx6w7+JdXYcjhCgH5G4q8lWUNS2FEGBrbsz4Lp6YGhnwlKst7N0LN29CjRrg4wOGhroOUQhRxiTxErn6+s8wPB2t6Nm4hoztEqIYXuvkARs2QD1fuHbtvx0uLjB3LvTtq7vghBBlThIvkcOV2EQW7L1MpgL1nWyo52St65CEqLg2bICAAHh8jNf161nb162T5EuISkSaMkQOPx2MJFOBTl7VJekSojjUapgwAUVRWNeoM8+9+g03rbNWzNAkYhMnZpUTQlQKkngJLXFJaaw5ltUdMtq34i3mLUS5cuAAXLuGCljX6GlO1/BkWcvn/9uvKBAdnVVOCFEpSOIltPwSelWzPFB7j2q6DkeIiu3mTc3/jj6yAYBfm/XggYl5nuWEEPpNEi+hkZqhZmlwFJDV2iVPMwpRTDX+W+3BL+Jv6sZc5YGpJb817Z5nOSGEfpPES2hsPnGDmIep1LA1k+WBhCgJPj5ZTy+qVBigMPLoJgB+avU86QaGoFKBq2tWOSFEpSCJl9BwsTOntbsdwzq4yRQSQpQEQ8OsKSMAVCr6nA3CPvE+N2wc2F6/Y9b2OXNkPi8hKhGVIutYlCsFXd28NGVmKhgYSDejECVmwwaYMAGuXWNeu/7M8n2Fhveusq27I6p+MpWEEPqgoPdvmcdL5CBJlxAlrG9f6N0bDhxgcPQtjt8x5NVXXwBvR11HJoQoY5J4Cc7fTGDn2du80q42dpYmug5HCP1kaAh+flQFluo6FiGEzshAHsGP+yP45q+LfLz1rK5DEUIIIfSatHhVcrfiU9hy6gYAwzq46zgaISqPmIepLA+JIiNT4d0e9XUdjhCijEiLVyW37N9f/K3d7GjqWkXX4QhRaYTfeci8PZf56WAksQ9TdR2OEKKMFLnF6+LFi+zatYv9+/cTHR1NTEwM5ubmODg40KxZM/z9/encuTNmZmYlGa8oQYmpGfwaegWAkT7S2iVEWWrtbkcTF1v+uRbPysNXmPi0l65DEkKUgUInXqtXr2bBggUEBwcDkNtsFLt372b27NlUqVKFoUOH8uabb+Lm5lbsYEXJWnMsmoSUDNztLXlanq4SokypVCpG+tRh/KoTrDx0hdc7eWBmLPN5CaHvCtzVGBQURPPmzRk0aBBnz55l6NCh/PDDD5w8eZJbt26RlpZGfHw8ERERbN++nalTp1KvXj2++eYbvL29effdd0lISCjNaxGFoM5U+Ck4EoDhHd1lCgkhdOCZRk4425oRm5jGphPXdR2OEKIMFLjFq0uXLrRo0YI1a9bw/PPPY2KSc9oBa2trrK2tcXNzo0ePHkybNo1Lly6xcOFCvvvuO6ysrJg6dWqJXoAomoepGbR1r0Zaxl0CWrjoOhwhKiVjQwOGdXBnxvbzLD4YyUutXOWPICH0XIFnrt+4cSMvvPBCkU9069YtoqKiaNu2bZHrqAzKeub61Aw1pkbSvSGEriSkpNN+5h4epmawdOhT+Nd30HVIQogiKPGZ64uTdAE4OTnh5ORUrDpEyZOkSwjdsjEzZlgHN2IT06hT3VLX4QghSlmpz+OlVqsxlAVgy5UVh6JoWbsqDZ1tdR2KEAL4X7d6ug5BCFFGijyP15gxY0hNffLcM1euXMHHx6eopxClIPpeEtO2nKXXtwe5Gpuk63CEEEKISqXIideiRYto06YNYWFhue7fsGEDzZs3JzQ0tMjBFde1a9cYPnw4zs7OmJqa4ubmxsSJE7l//36p1xMSEkLPnj2xs7PDwsKCJk2aMGfOHNRqdXEvq1h+Co4kUwEfT3tqVbPQaSxCCG3/XItjwuoT3IpP0XUoQohSUuTE68MPP+TMmTO0atWK5cuXa7anpaUxduxYXnzxRQwMDNi4cWOJBFpY4eHhtGzZkqVLl9K6dWsmTZpEnTp1mDt3Lu3atSM2NrbU6tm8eTO+vr7s37+fF154gbFjx5KWlsakSZMYMGBASV9q/tRq2LuX+J9XseZwFACjfOqUfRxCiCf6dNt5Np+8wfJDUboORQhRWpRi+OuvvxQnJyfFwMBAGTx4sHL06FGlWbNmikqlUjp27KhER0cXp/pi6datmwIo3377rdb2SZMmKYDy2muvlUo98fHxir29vWJiYqIcPXpUsz05OVlp166dAiirVq3K83zx8fEKoMTHxxcovnytX68oLi6KAsrC1n2V2u9uU7q9tkjJXLe+ZOoXQpSYP8/cVGq/u01pHLhDeZiSrutwhBCFUND7d7ESL0VRlNu3byvdunVTDAwMFAMDA8XIyEiZOnWqolari1t1kV2+fFkBFHd39xxxJCQkKJaWloq5ubny4MGDEq9n8eLFCqAMGTIkR327d+9WAMXHxyfPc5Zo4rV+vaKoVIoCSpqBodJ2zFKl9rvblN8aP521fb0kX0KUJxnqTKXTl3uU2u9uU5YFR+o6HCFEIRT0/l3sRbKtrKyoXr06SlYSh62tLZ06dcLAQHfrbwcFBQHQrVu3HHFYW1vToUMHkpOT8x1/VpR6so/p0aNHjvp8fX2xsLDg0KFD+T6YUGxqNUyYAP9O07a9Xkdu2lTH/uF9ep/bm1Vm4sSsckKIcsHQQMWIjlnrpi45GIk6s0DTLAohKpBiZUenTp2iRYsWrFq1iu7du7Nw4ULS0tLo3r07U6ZMITMzs6TiLJTsAf+enp657s/efvHixRKv50nHGBkZ4e7uTkZGBhEREU88d0JCgtar0InagQNw7ZrmrdrAAIcHsQw5vg1TdUZWQhYdnVVOCFFu9Gvpgq25MVfvJbHr3G1dhyOEKGFFTrzmz59Pu3btiIiI4LPPPuOPP/5g9OjR/P333zRp0oSZM2fSqVMnrj1y8y8r8fHxANja5j5PVfb2uLi4Eq+npM7t6uqKra2t5jVz5swnls/h5k2tt33PBnFg0QhGHNv0xHJCCN2yMDFicNtaACw+8OQ/0IQQFU+RJ1B98803qVWrFqtWraJdu3aa7Z6enhw+fJj//e9/zJ8/n2bNmhETE1MiwZYU5d/uN5WqeGuiFaWegh4THR2tteSAqalp4YKrUSPHJlN1Bqgz8i0nhNCtIe3c2PbPTbo1dESdqWAo6zcKoTeK3OLVu3dvTpw4oZV0ZTMxMWHevHls2LBBk2iUpexWpezWp8clJCRolSvJekrq3DY2NlqvQidePj7g4gJ5JXgqFbi6ZpUTQpQrDjZm7H3Lj9G+HpJ0CaFnipx4bdy4kapVqz6xTJ8+fTh58mRRT1Fk9eplLb+R1xiuS5cuAeDl5VXi9TzpmIyMDCIjIzEyMqJOnVKeR8vQEObOzfr/x5Ov7Pdz5mSVE0KUO8VtkRdClE+l/uihq6traZ8iB39/fwB27tyZY4D/gwcPCA4OxtzcnLZt25Z4PZ07dwZgx44dOerbv38/SUlJtG/fvvAtWEXRty+sWwc1a2pvd3HJ2t63b+nHIIQosnR1JltO3WB5SJSuQxFClJACJ143btwo9slultFAbg8PD7p160ZUVBTz58/X2hcYGEhiYiKvvvoqlpaWAKSnp3PhwgXCw8OLVQ9AQEAA9vb2rF69mmPHjmm2p6SkMGXKFCBrncsy07cvREVBUBD8+mvWfyMjJekSogI4HBHL+FUn+OrPMBJS0nUdjhCiBKiUAg7CMjc3Z+zYsbz99ts4OjoW+ASKorBlyxamTZvGCy+8wEcffVTkYAsjPDyc9u3bc+fOHXr37o23tzehoaEEBQXh5eVFSEgI1apVAyAqKgp3d3dq165NVFRUkevJtmnTJgICAjAzM2PAgAHY2dmxZcsWwsLCCAgIYM2aNXl2IyQkJGBra0t8fLzW4HohROWjKArdvtnPpTsP+bCnN6N8ZakvIcqrAt+/Czoj69SpUxULCwvF2NhYee6555SVK1cq4eHhuZZ98OCBsnv3buWdd95RatasqRgYGCht27ZVTp8+XdDTlYirV68qQ4cOVZycnBRjY2OlVq1ayvjx45XY2FitcpGRkQqg1K5du1j1POrgwYPKM888o1SpUkUxMzNTGjVqpMyePVvJyMh4YswlvmSQEKJCW33kilL73W1Ku8/+UtIydLciiBDiyQp6/y5wixdkTXHwySef8Ouvv5KcnAxkPZ3n4OBA1apVSUlJITY2lps3b5KZmYmiKDRv3py3335bN4tDV0DS4iWEeFRKupqOX+wh5mEacwc0o3ezmvkfJIQocwW9fxcq8Xq08l9//ZVdu3YREhLC7dv/za5sYmJC48aN8fPzo1+/fvkOYBfaJPESQjxu7l+X+OavizRxsWXz2A7yxKMQ5VCJJ17ffvstbdu2pXXr1jn2paenExsbi7m5eb7zU4knk8RLCPG42IeptP98D6kZmfw2ui1t6lTL/yAhRJkq6P27wE81Tpw4UWuKBENDQz755BMAjI2NcXJykqRLCCFKQTUrU/q2cKG1mx1GhqU+C5AQohQVeMkgc3NzrYWaFUXRyaz0QghRGU1/viEmRpJ0CVHRFfhb7O7uzp9//qk1nkvGGQghRNmQpEsI/VDgb/KYMWM4fvw4zs7OGP67zMy0adMwNDR84svIqMjrcAshhHjMvcQ05u2+xL3ENF2HIoQoggJnRWPHjqV69eps3bqVGzduEBQURK1atXBzcyvF8IQQQjzqtZXHOBp1HwUY38VT1+EIIQqpSNNJABgYGDBt2rQym4m+spCnGoUQT7L55HUmrD6JvZUJB9/tjJmxLHQvRHlQ4k81Pi4wMBA/P7+iHi6EEKIIejaugbOtGTEP09h88rquwxFCFFKxEi9fX9+SjEUIIUQ+jA0NGNbBHYAfD0SSmSlPlwtRkchjMkIIUcEMaO2KtakRl+88ZN/Fu7oORwhRCJJ4CSFEBWNtZsyA1q4A/HggQsfRCCEKQxIvIYSogIZ2cMfc2JCaVcxJV2fqOhwhRAHJJFtCCFEB1axizpEPu2BtZqzrUIQQhSAtXkIIUUFJ0iVExSOJlxBCVHDnbiSw5dQNXYchhCgA6WoUQogK7PjV+/RdEIKVqRF+9apjI61gQpRr0uIlhBAVWDOXKng6WPEwNYPVR67qOhwhRD4k8RJCiArMwEDFKJ86APx0MIq0DHnCUYjyTBIvIYSo4Ho3d8beypRbCSn8flrGeglRnkniJYQQFZypkSHDOrgB8MP+SBRFlhESorySxEsIIfTAy21qYW5syPmbCQRfjtV1OEKIPEjiJYQQeqCKhQn9n3KlurUp8cnpug5HCJEHlSJt0uVKQkICtra2xMfHY2Njo+twhBAVSHxyOmbGBpgaGeo6FCEqnYLev2UeLyGE0BO25jKHlxDlnXQ1CiGEnlFnKvxx+iY34pJ1HYoQ4jGSeAkhhJ55e90pxvxynCUHI3UdihDiMXqbeIWEhNCzZ0/s7OywsLCgSZMmzJkzB7VaXeA6Ll26xBdffEHnzp1xdXXFxMQER0dHnn/+eYKCgnI9ZtmyZahUqjxfCxcuLKlLFEKIXD3f1BmAVUeuEp8kA+2FKE/0cozX5s2b6devH2ZmZvTv3x87Ozu2bt3KpEmTCA4OZu3atQWqZ+rUqfz22294e3trkriwsDC2bNnC1q1bmTNnDhMmTMj12N69e9OsWbMc21u1alWcSxNCiHx18qpOfSdrLtx6wM+hVxjrX1fXIQkh/qV3TzUmJCTg4eFBQkICwcHBmkQnJSWFzp07c+jQIVatWsWAAQPyrWvp0qU0adKEli1bam3ft28fXbt2BeDKlSvUqFFDs2/ZsmUMGzaMpUuXMnTo0CLFL081CiGKa8Pxa0xecwp7K1MOvuuPmbE86ShEaSro/VvvuhrXrl1LTEwMAwcO1GpdMjMz49NPPwVgwYIFBapr2LBhOZIugE6dOuHn50d6ejrBwcElE7gQQpSg55o642xrRszDVDaduK7rcIQQ/9K7xCt77FWPHj1y7PP19cXCwoJDhw6RmpparPOYmJgAYGyc++PbJ0+eZM6cOXz++eesXLmSa9euFet8QghRGMaGBgzv6A7ADwciyMzUq84NISosvRvjFRYWBoCnp2eOfUZGRri7u3P27FkiIiLw9vYu0jmuXLnCX3/9hYWFBb6+vrmWmTt3rtZ7Q0NDRo4cyZw5czAzM8v3HAkJCVrvTU1NMTU1LVK8QojKaUDrWszdfQkbM2NiElNxsM7/d48QonTpXYtXfHw8ALa2trnuz94eFxdXpPpTU1N5+eWXSU1NJTAwkKpVq2rtd3d3Z968eYSFhZGYmMiNGzdYs2YNbm5uLFq0iOHDhxfoPK6urtja2mpeM2fOLFK8QojKy8rUiB0Tfdn4RntJuoRQq2HvXli1Kuu/hZjloCSVyxYvNzc3rly5UuDyQ4YMYdmyZQUqm/0sgUqlKnRcGRkZvPzyywQHBxMQEMDbb7+do0ynTp3o1KmT5r2FhQUvvvgibdu2pUmTJqxatYp3332Xpk2bPvFc0dHRWoPzpLVLCFEUNauY6zoEIXRvwwaYMAEeHfbj4gJz50LfvmUaSrlMvDw8PArUHZft0acKs1u0slu+HpfdhZdXi1heMjIyGDRoEOvXr+fFF1/k119/LVTy5urqSq9evfjll1/Yv39/vomXjY2NPNUohCgx8cnp7A27Q+9mNXUdihBla8MGCAiAxydxuH49a/u6dWWafJXLxGv37t1FPrZevXocO3aMixcv5ngiMSMjg8jISIyMjKhTp06B60xPT6d///5s3LiRQYMGsWLFCgwNC/9otoODAwCJiYmFPlYIIYoqISUdny/2kJCSQT0na+o7yR91opJQq7NaunKbOUtRQKWCiROhd28own29KPRujFfnzp0B2LFjR459+/fvJykpifbt2xe46y4tLY1+/fqxceNGXn31VVauXFmkpAsgNDQUoFBJnxBCFJeNmTE+ntUBWLQvQsfRCFGGDhzQdC+mGhrxlc8r3LC2/2+/okB0dFa5MqJ3iVdAQAD29vasXr2aY8eOabanpKQwZcoUAMaMGaN1THx8PBcuXODmzZta21NTU3nhhRfYunUrI0aMYOnSpRgYPPkjO5DLP56iKHz55ZeEhIRgb2+f61QXQghRml7v5AHAllM3iL6XpONohCgjj9zXNzbszPz2/ek/6HMyUeVZrrSVy67G4rCxseHHH38kICAAPz8/BgwYgJ2dHVu2bCEsLIyAgAD69++vdczGjRsZNmxYjkH6r7/+Otu3b8fe3p6aNWvy8ccf5zifn58ffn5+mve+vr54eXnx1FNPUbNmTeLj4wkJCeH06dNYWFjwyy+/yNgtIUSZa+xiS8e69hy8HMOSg5FMe76hrkMSovT9OwZcrTJgUZt+AAz5eysGKLmWKwt6l3gB9OnTh3379jFjxgzWr19PSkoKdevWZfbs2YwfP77Ag+IjIyMBiImJyTXpyvZo4vXWW29x5MgR9uzZw7179zAwMKBWrVqMHTuWyZMnSzejEEJnXu/kwcHLMaw+epXxXTyxszTRdUhClC4fH3Bx4U/L2kTa1aRKcgIDT/35336VKuvpRh+fMgtJ79ZqrOhkrUYhRGlRFIXnvjvImesJTOjiyaSuXroOSYjSt2EDSQNf5rfG3TBQMhlyfFvW9uxGmBJ6qrHSrtUohBAidyqVitc7eWBooOJBSoauwxGibPTti8WqXxh2+/h/SRdktXSV8VQSIC1e5Y60eAkhSpM6U+FmfDIuVS10HYoQZUJRlKwhRmp11tOLN29mjeny8SnRKSQKev/WyzFeQgghcmdooJKkS1Qax6/e5/31pxnbuS7PN3WGR8Zk64p0NQohRCV16fYDDoXH6joMIUrNwr3hhN1+wP6Ld3UdioYkXkIIUQntOnebrt/s570N/5ChztR1OEKUuEu3H7Dz3G1UKni9U/mZUUASLyGEqIQ61K1GVQtjrsQmsf3MLV2HI0SJ+35vOADdGjhS18Fax9H8RxIvIYSohCxMjBjWwR2ABUGXkeeshD65GpvE5lM3ABjrX1fH0WiTxEsIISqpIe3csDQx5MKtB+y5cEfX4QhRYhbuD0edqeDjaU8Tlyq6DkeLJF5CCFFJ2VoYM7htbQDmS6uX0BN3H6Sy7ljWwtjjyllrF0jiJYQQldqIju6YGBlw/GochyPu6TocIYrN3sqEH4e0Ymh7N9rUqabrcHKQebyEEKISc7Ax46VWLmw/fYvYxFRdhyNEsalUKjp5VaeTV3Vdh5Irmbm+nJGZ64UQZe1+YhqmxgZYmMjf4qJiU2cqGBqodHJuWatRCCFEgVS1NJGkS1R4CSnpdPoqiNk7w0hJV+s6nDxJ4iWEEAKAzEyFP8/eIuzWA12HIkShrTx0hWv3k/njzC1MDMtvelN+IxNCCFGmvvwzjNdW/s03uy7qOhQhCiUpLYMlByMBeMPfAwMddTcWhCReQgghAOjXoiYqFeyQVi9Rwfxy+Cr3EtOoZWfBc02cdR3OE0niJYQQAgBPR2ueaeQEwHdBl3UcjRAFk5ymZtH+CCBr3i6jctzNCJJ4CSGEeET28irb/rlB+N2HOo5GiPz9euQqMQ9Tcalqzgstauo6nHxJ4iWEEEKjobMtT3s7oCiwIChc1+EI8UTqTIUlB7Jau8b618W4nLd2gSReQgghHjOusycAm05e50psoo6jESJvhgYqfh3VlpEd3enXwkXX4RSITNwihBBCSzPXKnTyqk5sYioJyRm6DkeIJ3Kzt2TKsw10HUaBSeIlhBAih28HNsfGzAiVqvw+li8qt6S0jAo58a90NQohhMjB1txYki5RbqVlZNLtm/2M+/U4MQ8r1hqjkngJIYTI08PUDOYHXZaxXqJcWX/8GtfuJ3Mk8h5WphWr1UsSLyGEEHl6b/0/fPVnGN/tkXm9RPmQmqHW/Dy+1skDM2NDHUdUOJJ4CSGEyNOIju4AbDghTziK8mHNsWtcj0vGwdqUl9vU0nU4hSaJlxBCiDw1r1UVv3rVUWcq0uoldC4lXc38f38Ox/rXrXCtXaDHiVdISAg9e/bEzs4OCwsLmjRpwpw5c1Cr1QWuIyoqCpVKledrwIABeR67fPlyWrdujZWVFba2tvj5+bFt27aSuDQhhChTE7pkzeslrV5C11YfucqthBRq2JrR/ylXXYdTJBVrRFoBbd68mX79+mFmZkb//v2xs7Nj69atTJo0ieDgYNauXVuo+po2bUqfPn1ybG/UqFGu5d966y1mzZqFi4sLo0aNIi0tjdWrV/Pcc88xb948xo0bV5TLEkIInchu9dobdpe5uy8x+6Vmug5JVEKKorD6aDRQcVu7AFSKoii6DqIkJSQk4OHhQUJCAsHBwbRq1QqAlJQUOnfuzKFDh1i1atUTW6uyRUVF4e7uzpAhQ1i2bFmBzh8SEkKHDh3w8PDg6NGjVK1aVVNXy5YtSUxM5MKFC7i5ueUZv62tLfHx8djY2BTonEIIUdpORcfRe34wBirYOakTdR2sdB2SqIQSUzP47Wg0g9vWxsSofHXaFfT+Xb6iLgFr164lJiaGgQMHapIuADMzMz799FMAFixYUGrn//777wGYMmWKJukCcHNzY+zYsaSmpvLTTz+V2vmFEKI0NHWtQveGjjzbxBnTcnbDE5WHpakRwzu6l7ukqzD0rqsxKCgIgB49euTY5+vri4WFBYcOHSI1NRVTU9MC1Xnjxg0WLVpEbGws1apVo127djRp0qTQ53/mmWf45JNPNGWEEKIimT+oBUYVYBFioX+iYhKpZWeBgUHFn9RX7xKvsLAwADw9PXPsMzIywt3dnbNnzxIREYG3t3eB6ty1axe7du3S2ubn58fy5cupVeu/R1kTExO5fv06VlZWODk55agnO6aLFy/me86EhASt96ampgVOFIUQojRI0iV04WFqBi8sCKaGrTmLh7TCuYq5rkMqFr37FsXHxwNga2ub6/7s7XFxcfnWZWFhwdSpU/n777+5f/8+9+/fZ9++ffj7+7N37166dOlCYuJ/T/iU5LldXV2xtbXVvGbOnJnvMUIIURauxCYy+beTnLh6X9ehiEpg8YEI7ielk5KuxsG64jdAlMvEy83N7YnTODz+Gjp0aIHrzn6WoCBrkDk4OPDxxx/TokULqlSpQpUqVfD19WXnzp20adOGy5cvs3jx4kJfX0HOHR0dTXx8vOb1/vvvF/o8QghRGuYHXWbDievM3pV/670QxXEvMY3FByIBmNzNSy9aXctlV6OHhwdmZmYFLl+jRg3N/2e3KmW3Pj0uuwsvr1apgjAyMmLkyJGEhoayf/9+JkyYUKBz59ci9igbGxt5qlEIUS692dmTjSeuc+BSDIcjYmlbp5quQxJ6akHQZR6mZtDQ2YaejWrkf0AFUC4Tr927dxf52Hr16nHs2DEuXrxIy5YttfZlZGQQGRmJkZERderUKVaMDg4OAFpdjZaWltSsWZPr169z8+ZNrYQQ4NKlSwB4eXkV69xCCKFLrnYW9H/KlZ8PX+XrP8NY+3q7ArXkC1EYN+OTWXH4CgBvd6+nFwProZx2NRZH586dAdixY0eOffv37ycpKYn27dsXe6B6aGgoQI4E7knn/+OPP7TKCCFERfVmZ09MjQw4duU+QWF3dB2O0EPf7r5EWkYmrd3t6ORVXdfhlBi9S7wCAgKwt7dn9erVHDt2TLM9JSWFKVOmADBmzBitY+Lj47lw4QI3b97U2h4aGkpaWlqOc+zbt4/Zs2cDMHjwYK19r7/+OgAzZszg/v3/Bp5GRUUxf/58TE1NGTZsWDGuUAghdM/RxoyhHdwA+HJHGOpMvZqLW+hYujqTC7ceAPBO93p61aKqdzPXA2zatImAgADMzMwYMGAAdnZ2bNmyhbCwMAICAlizZo3WP+KyZcsYNmxYjhnq/fz8OHv2LH5+fri4uABw+vRpTVfoJ598oknmHvW///2P2bNn4+LiQkBAAGlpafz222/Exsbmu2SQzFwvhKgo4pPS8flyDwkpGXzTvykvNHfRdUhCjyiKwtGo+7R2t9N1KAVS0Pt3uRzjVVx9+vRh3759zJgxg/Xr15OSkkLdunWZPXs248ePL3Dm/Morr7Bx40aOHj3KH3/8QXp6Oo6Ojrz00kuMGzcOHx+fXI+bNWsWTZo04bvvvuOHH37AwMCAFi1a8Pbbb/Pss8+W5KUKIYTO2FoYM7mrF3HJ6XRtkHPuQiGKQ6VSVZikqzD0ssWrIpMWLyGEEJXZ+r+v0b2RE1amFattqNKu1SiEEEI3MjMVUjPUug5DVGDBl2P439pTdJ29j5R0/fxZksRLCCFEsf195R59FgTz3Z7Lug5FVFCZmQqfbT8PQPeGTpgZG+o4otIhiZcQQohiu/sgjX+uxbP4QCR3ElJ0HY6ogDafus7ZGwlYmxrxZue6ug6n1EjiJYQQoti6N3Skea0qJKermbP7kq7DERVMSrqar//MWoLqdT8PqllV/DUZ8yKJlxBCiGJTqVS8/4w3AKuPXOXi7Qc6jkhUJCsORXE9LpkatmaM6Oiu63BKlSReQgghSkRrdzu6N3QkU0EzVkeI/MQlpWnGBk7u6qW3Y7uySeIlhBCixLz3jDfGhir2ht1l/8W7ug5HVABp6kw613fAu4YNfVvo/yS8kngJIYQoMe72lrzS1g2ATSev6zYYUSE4WJsxZ0BzNr7RHkM9WQj7SSrW7GRCCCHKvfFd6tLU1ZbnmjjrOhRRgeh7F2M2afESQghRoqpYmNC7WU0MKkHrhSi6wxGxvPHL30TfS9J1KGVKEi8hhBClJjE1g+DLMboOQ5Qz6kyF6VvPsf30LRYfiNB1OGVKEi8hhBCl4kZcMn5f72X4sqNcu1+5WjXEk605Fs35mwnYmBkx4WkvXYdTpiTxEkIIUSpq2Jrhbm9JakYmM7df0HU4opxISEnn6z/DAJjwtBd2liY6jqhsSeIlhBCiVKhUKqY91xADFfx++iYh0uUogO/2XCY2MY061S15tV1tXYdT5iTxEkIIUWoaONvwcpusm+u0rWfJUGfqOCKhS5ExiSwNjgRgaq8GGBtWvjSk8l2xEEKIMvW/bl5UtTDm4u2HrDx8RdfhCB1atC+cdLVCJ6/q+Nd30HU4OiGJlxBCiFJVxcKEt7rXA2D2rovEPEzVcURCVwKfa8g4/7pMfdZb16HojEygKoQQotQNeKoWq45cxaO6FYqi62iErpibGGqS8MpKEi8hhBClztBAxdrX2mNuUjlmJxfa/rkWR0Nn20qxJFB+pKtRCCFEmXg86VKk6atSiIpJJGDhIV5YEEx8Urquw9E5SbyEEEKUqZvxyby+8m9+loH2ek9RFAK3nCUtIxNbc2NszKWjTRIvIYQQZWrXudvsOHuLL3eEcSchRdfhiFL059lb7Lt4FxNDAz7u3QiVSroaJfESQghRpl5uU5smLrY8SM3g423ndB2OKCVJaRl8vDXr33e0bx3c7S11HFH5IImXEEKIMmVooOKzFxpjoIJt/9xk38W7ug5JlIJvdl3kRnwKNauYM9a/rq7DKTck8RJCCFHmGtW0ZWh7dwCmbjpDSrpaxxGJkvTPtTiWHMyaof6TPg3ladZHSOIlhBBCJyZ386KGrRlX7yUxb88lXYcjSpC5sSGNXarwfFNnOtd31HU45YokXkIIIXTCytSIac83BOCPM7dIy5B1HPWFp6M1G8a057O+jXUdSrmjt4lXSEgIPXv2xM7ODgsLC5o0acKcOXNQqwvenD106FBUKtUTX126dNE6ZtmyZU8sv3DhwpK+VCGEqLC6N3Ti876N2fZmR0yM9PaWVGmoM/+bm83QQIWVqUwf8Ti9/EQ2b95Mv379MDMzo3///tjZ2bF161YmTZpEcHAwa9euLVA9ffr0wc3NLdd9K1euJCIigmeeeSbX/b1796ZZs2Y5trdq1aqglyGEEJXCgNa1dB2CKAGZmQqv/hRKE5cqTOjiiZmxjOvKjUrRs6mDExIS8PDwICEhgeDgYE2ik5KSQufOnTl06BCrVq1iwIABRT5HXFwczs7OqNVqrl+/jr29vWbfsmXLGDZsGEuXLmXo0KFFit/W1pb4+HhsbGyKHKMQQlQ0mZkKP4deob1bVeqGnYCbN6FGDfDxAUO5iZd3q45c5f0NpzE3NmTnJF9c7Sx0HVKZKuj9W+/addeuXUtMTAwDBw7Ual0yMzPj008/BWDBggXFOsfKlStJTk6mb9++WkmXEEKIopu1K4yPNp/l7SkrUHfuAoMGgb8/uLnBhg26Dk88wfW4ZD77/TwAb3WvV+mSrsLQu8QrKCgIgB49euTY5+vri4WFBYcOHSI1NbXI5/jxxx8BGD16dJ5lTp48yZw5c/j8889ZuXIl165dK/L5hBCiMhh8/xzWqYmcqF6Hn1r1/m/H9esQECDJVzmVmanwzrpTPEjNoEWtKgxt76brkMo1vRvjFRYWBoCnp2eOfUZGRri7u3P27FkiIiLw9vYudP2HDh3i9OnTeHl54e/vn2e5uXPnar03NDRk5MiRzJkzBzMzs3zPk5CQoPXe1NQUU1PTQscrhBAVglpNjbcn8KFdA957Zjxf+wymy+VQ6ty/AYoCKhVMnAi9e0u3Yzmz4lAUwZdjMTc2ZNZLzTA0kGWBnkTvWrzi4+MBsLW1zXV/9va4uLgi1f/DDz8AMGrUqFz3u7u7M2/ePMLCwkhMTOTGjRusWbMGNzc3Fi1axPDhwwt0HldXV2xtbTWvmTNnFileIYSoEA4cgGvX6P/PTnwij5NqbMpbvSaRofr3NqUoEB2dVU6UG+F3H/L5jgsAfNCzviwLVADlMvFyc3PLdxqHR1+FGcSe/SxBURbqjI+PZ82aNZiYmOR5zk6dOjFu3Di8vLywsLCgRo0avPjiiwQFBVGlShVWrVrFqVOn8j1XdHQ08fHxmtf7779f6HiFEKLCuHkTABUwc8c8rFMTOV7TmwXtXsq1nCgfIu4mYqhS4eNpz+C2tXUdToVQLrsaPTw8CtQdl61GjRqa/89u0cpu+XpcdhdeXi1iT/Lzzz+TlJTEgAEDCj2o3tXVlV69evHLL7+wf/9+mjZt+sTyNjY28lSjEKLyeOT3uEvCXT7Z+T0Tn3uLBW0DGHTyD+yT4nOUE7rXtYEjOyb6YmxoUKQGjcqoXCZeu3fvLvKx9erV49ixY1y8eJGWLVtq7cvIyCAyMhIjIyPq1KlT6LqzB9W/9tprRYrNwcEBgMTExCIdL4QQesvHB1xcsgbSKwp9zu3lon0tngkLzkq6VKqs/T4+uo5UPEaeYCycctnVWBydO3cGYMeOHTn27d+/n6SkJNq3b1/ogeqhoaGcOnUKLy8v/Pz8ihRbaGgoQJGSPiGE0GuGhpD9UNK/LSfv7F9B49vhmvfMmSMD68uBxNQMBvxwiJDLMboOpULSu8QrICAAe3t7Vq9ezbFjxzTbU1JSmDJlCgBjxozROiY+Pp4LFy5w8wljB7IH1T9pCgmAA7kM/FQUhS+//JKQkBDs7e1znepCCCEqvb59Yd06qFlTe7uLC2eXryeoYUfdxCW0TN10hsMR93h73T+kZhR8GT6RRe9mrgfYtGkTAQEBmJmZMWDAAOzs7NiyZQthYWEEBASwZs0arb7o7NnmhwwZwrJly3LUl5CQgLOzM+np6Tlmqn+cSqXCy8uLp556ipo1axIfH09ISAinT5/GwsKCjRs30q1btzyPl5nrhRCVnlqd9fTivzPXH3VtxKCfjmBhYsQfE3xwrmKu6wgrrXV/X+OttacwUMHq0e1o7W6n65DKjYLev8vlGK/i6tOnD/v27WPGjBmsX7+elJQU6taty+zZsxk/fnyhBwD+8ssvJCYmFmhQ/VtvvcWRI0fYs2cP9+7dw8DAgFq1ajF27FgmT54s3YxCCJEfQ0N4ZEhHM3UmDWrYcOpaPON+Pc7q0e1kQW0duHznIVM3nQFg0tNeknQVkV62eFVk0uIlhBA5XY1Note8AzxIyWB4B3c+eq6BrkOqVFLS1fSZH8yFWw9o71GNlSPayESpj6m0azUKIYTQP7WqWTD7pWYA/BQcye//yHxeZenT389x4dYDqlmaMKe/zE5fHJJ4CSGEqBC6NnDk9U4eALyz7hThdx/qOKLKQZ2pkJSWNYh+dv9mONgUfJ5NkZMkXkIIISqMt7p50cbdjsQ0NT8fvqLrcCoFQwMVs15syoY32tPJq7quw6nw9HJwvRBCCP1kZGjAvEHN2XziBiM6uus6HL32ICUdSxMjDAyyludrUauqrkPSC9LiJYQQokJxsDZjlG8dDGScUalJV2cyYtkxRq88RkJKuq7D0SuSeAkhhKiwUtLVTFh9gh1nbuk6FL3yybZzHIm6R2jEPe4+SNV1OHpFuhqFEEJUWCsPXWHzyRvsPHsbl6rtaFTTVtchVXi/hl5lxaErqFQwZ0AzPKpb6TokvSItXkIIISqsYR3c8PWqTnK6mpHLj3E7IUXXIVVoey7cZurm/yZJ7eLtqOOI9I8kXkIIISosI0MDvhvUnLoOVtxKSGHk8mMkp8n6gUVxKjqOsb+cQJ2pENDShTc719V1SHpJEi8hhBAVmo2ZMT8NeYqqFsacvp61rFC6OlPXYVUo6epMxq06TnK6Gh9Pe2b2bVzo5fVEwUjiJYQQosKrVc2CH19thamRAbsv3NGsKSgKxtjQgPmDWtDJqzrfD26JsaGkB6VFPlkhhBB6oZWbHd8PbkE1SxNebOWq63AqnCYuVVg+vDVWpvLcXWmSxEsIIYTe6Fzfkf3v+NOytkz2mZ/E1AxGLj/K8av3dR1KpSKJlxBCCL1i+UiLzZnr8aw8FKW7YMqppLQMhi87yl/n7zDul+OkZsgDCWVF2hOFEELopRtxyQz84TAPUjNISlPz2r8LbFd2yWlqRiw7RmjkPaxNjZj/cgtMjQx1HValIS1eQggh9FINWzOGdnADYOYfF5i9MwxFUXQblI6lpKsZteIYhyJisTQxZNnw1jSXNRjLlCReQggh9JJKpeJ/3erxTo96AHy75zKf/n6+0iZf8cnpDF16hIOXY7AwMWT58NYyFk4HJPESQgih197wq8v05xsCsORgJB9sPI06s/IlX9/vDedwxD2sTI1YNqw1rdzsdB1SpSRjvIQQQui9Ie3dMDcx5L31/7DqSDTeNWx4tZ2brsMqUxOf9uR6XDJjOnnQwNlG1+FUWpJ4CSGEqBReauWKhYkhPx++wkuVZJ6vsFsP8HSwwsBAhZmxIfMGNtd1SJWedDUKIYSoNJ5t4syvI9tiZpz1FF9mpkLYrQc6jqrkKYrCysNXeG7eQb7YcUHX4YhHSIuXEEKISsXA4L81CL/aGcaSA5HMeKFRxZztXq2GAwfg5k2oUQN8fEjMUHh/w2m2nLoBQPT9JDLUmRjJMkDlgiReQgghKiV1pkJUTCJp6kzeXvcPIeGxTO/dEBszY12HVjAbNsCECXDtmmbTxYZPMSZgKuEpBhgaqHivR31G+rjLgtfliKS/QgghKiVDAxXzB7VgclcvDFSw8cR1nplzgMMRsboOLX8bNkBAgCbpUoDfmnSld7d3CU8xwMlY4bfRbRnlW0eSrnJGpVTWCU3KqYSEBGxtbYmPj8fGRp46EUKIsvD3lftMXnOSK7FJqFQw2rcOk7t6lc8Z3dVqcHPTaum6a1EF/9E/8NDUAp/IE8w5/ivVLpwGw3IYv54q6P1bWryEEEJUei1rV2X7eB8GPOWKosAvh6+SkJyh67Byd+AAXLuGWvXfLbx6UhxT9izm/aCfWLY2kGqXz2eVE+WOjPESQgghyFpc+/N+TfCv70DMw1SqW5tq9kXfS8LVzkKH0f1HuXGTPR5P8WWnIXwQ9BOdIo8DMOCfndoFb97UQXQiP3rX4pWens7cuXMZNmwYzZo1w8TEBJVKxeLFi4tcZ0hICD179sTOzg4LCwuaNGnCnDlzUKvzXs19+fLltG7dGisrK2xtbfHz82Pbtm1FjkEIIUTZ6N7QiZfb1Na833/xLp2+CuL9Dae5Gpuks7gURWHPhdv0jqrCiIBAwqq7Mbvjy+Q5XqhGjbIMTxSQ3rV4JSYmMnHiRAAcHR1xcnIiOjq6yPVt3ryZfv36YWZmRv/+/bGzs2Pr1q1MmjSJ4OBg1q5dm+OYt956i1mzZuHi4sKoUaNIS0tj9erVPPfcc8ybN49x48YVOR4hhBBlKyQ8lkwFVh25yuqjV+nq7cjwju60cbcrk4HraRmZ7Llwm+/3RXAqOg4A84xUXv17K68fXk+OCFQqcHEBH59Sj00Unt4Nrk9LS2P37t00a9aMGjVqMG3aNKZPn86PP/7IyJEjC1VXQkICHh4eJCQkEBwcTKtWrQBISUmhc+fOHDp0iFWrVjFgwADNMSEhIXTo0AEPDw+OHj1K1apZC5BGRUXRsmVLEhMTuXDhAm5ubnmeUwbXCyFE+RIaEcuCveHsu3hXs61BDRsGtanFy21qlWoCNvbX4/z+T1a3obmxIa+2q83oB+epNjAgq8Cjt/HsONatg759Sy0mkVOlHVxvYmLCM888Q40SaGJdu3YtMTExDBw4UJN0AZiZmfHpp58CsGDBAq1jvv/+ewCmTJmiSboA3NzcGDt2LKmpqfz000/Fjk0IIUTZaVOnGsuHt2bXJF8GtamFmbEB524msPHEda2k6/KdB6Sk5z0M5UnuJKTw+z83mbblLOdvJmi292johIO1KWP8PDjwrj/v9/SmWv++WclVzZralbi4SNJVzuldV2NJCgoKAqBHjx459vn6+mJhYcGhQ4dITU3F1NQ032OeeeYZPvnkE00ZIYQQFYunozWfvdCYt7vVY93f13Cw+W8AflxSGt3nHEBRFNzsLfFysMbL0QpHWzPMjQ3xrmGDd42slpBb8SlsOHGNOwmp3IpP4dzNBK7e+2/8mHMVM03ZZxo58Uwjp5wzz/ftC71755i5XqaQKN8k8XqCsLAwADw9PXPsMzIywt3dnbNnzxIREYG3tzeJiYlcv34dKysrnJycchyTXc/FixfzPXdCQoLWe1NTU01yJ4QQQreqWpowyreO1rYLtx5gZWpEfHI6EXcTibibyI6z/+0f519Xk0zdS0zjyx1hWserVODtZMNTblVpXuu/HpMnLvVjaAh+fsW+HlF2JPF6gvj4eABsbW1z3Z+9PS4urkjln8TVVXvNsMDAQKZNm5bvcUIIIXSjbZ1qnPyoK3cepHLx9gPCbj3g0u2H3EtKIyVdTZ3qlpqyzlXM6NfCBUcbUxxtzHCzt6R5rSoVZ7kiUWTlMvFyc3PjypUrBS4/ZMgQli1bVnoB5SH7uYTCDqosSPno6GitwXnS2iWEEOWfSqXC0cYMRxszfDyr51muioUJs15qWoaRifKiXCZeHh4emJmZFbh8SQykz012C1V2S9bjsrsDs8vlVz6/FrFH2djYyFONQgghhJ4pl4nX7t27dR0CAPXq1ePYsWNcvHiRli1bau3LyMggMjISIyMj6tTJ6ue3tLSkZs2aXL9+nZs3b+ZICC9dugSAl5dX2VyAEEIIIcoVvZtOoiR17twZgB07duTYt3//fpKSkmjfvr1WN+CTjvnjjz+0ygghhBCicpHEi6wuwAsXLnDzsXWtAgICsLe3Z/Xq1Rw7dkyzPSUlhSlTpgAwZswYrWNef/11AGbMmMH9+/c126Oiopg/fz6mpqYMGzastC5FCCGEEOVYuexqLK7PP/+cCxcuAHDy5EkAli5dysGDBwHo2LGj1iz2GzduZNiwYTkG6dvY2PDjjz8SEBCAn58fAwYMwM7Oji1bthAWFkZAQAD9+/fXOnf79u2ZPHkys2fPpkmTJgQEBJCWlsZvv/3GvXv3mDdvXp6z1gshhBBCv+ll4rVjxw727duntS0kJISQkBDN+4IuH9SnTx/27dvHjBkzWL9+PSkpKdStW5fZs2czfvz4XJ9QnDVrFk2aNOG7777jhx9+wMDAgBYtWvD222/z7LPPFu/ihBBCCFFh6d1ajRWdrNUohBBCVDyVdq1GIYQQQojyShIvIYQQQogyIomXEEIIIUQZkcSrkkhNTWXatGmkpqbqOpRyTz6rwpHPq+Dksyo4+awKTj6rgisPn5UMri9nSmtwvQzaLzj5rApHPq+Ck8+q4OSzKjj5rAquND8rGVwvhBBCCFHOSOIlhBBCCFFG9HIC1Yosu+c3ISGhROvNrq+k69VH8lkVjnxeBSefVcHJZ1Vw8lkVXGl+Vtl15jeCS8Z4lTPXrl3j/+3df0zU5QMH8PcFF1yApJAeDo7DApJIQfslKgxQDNdS1u+pzX4Nq2lQNNTN8PxVf1ApbuXCZlhzc5DSKkfngBN/XIcN/HGNgnAGTQ/nZfyKdHDP9w/Evie4+rovz/PhfL+2+4PnuT/eu+249z3P5/NcVFSU6hhERER0E9rb2xEZGXnDeRYvjfF4PDh37hxCQkJG/DkiIiIi0h4hBLq7uzF58mTcdtuNr+Ri8SIiIiKShBfXExEREUnC4kVEREQkCYsXERERkSQsXj7ut99+w4svvojJkycjICAAZrMZeXl5uHTpkupomlJRUYGVK1di7ty5GDduHHQ6HZYuXao6lia53W7s3LkTOTk5uOeee2AwGBAaGoo5c+bg008/hcfjUR1RUwoLC5GZmYmoqCgYDAZMmDABycnJsFgscLvdquNp2ueffw6dTgedToedO3eqjqMpZrP52mtz/cNoNKqOp0mHDx/GE088gYiICAQEBCAiIgJZWVk4cOCA1Bw8x8uHtba2IiUlBRcuXMCiRYtw7733or6+Htu2bUNVVRWOHj2KsLAw1TE1YdOmTTh58iSCg4MRGRmJn376SXUkzSovL8err74Ko9GIjIwMmEwmdHR0YN++fXj55Zdx4MABVFRU8K7cqz788EPMmDED8+fPx8SJE9Hb24vvv/8e69evxyeffAK73Q6TyaQ6pua0t7dj5cqVCA4ORk9Pj+o4mhQaGoq8vLxh48HBwfLDaNymTZuwbt06hIeH47HHHkNERAQuXryIxsZG2Gw2LFy4UF4YQT4rKytLABAlJSVe4/n5+QKAyM3NVZRMe2pqakRzc7PweDyitrZWABBLlixRHUuTqqurRWVlpejv7/caP3/+vIiKihIARHl5uaJ02tPX1zfi+Nq1awUAsWLFCsmJtM/j8YjMzEwxZcoUUVBQIACI0tJS1bE0JTo6WkRHR6uOMSbs3btXABDz5s0TXV1dw+avXLkiNQ+3Gn1Ua2srrFYrYmJi8Prrr3vNWSwWBAUFYffu3fwmeVV6ejpiY2O5SvMvZGRkYNGiRfDz8/MaNxqNWLFiBQDAZrMpSKZNgYGBI44//fTTAAbfq+StpKQENTU12LVrF4KCglTHoTHM4/GgsLAQBoMBe/bsQUhIyLDn6PV6qZm41eijamtrAQBZWVnDDnILCQnB7NmzYbVa4XA4kJmZqSIi+aDbb78dgPx/ZGPR119/DQCYNm2a4iTa0tTUhNWrV+ONN95AamoqampqVEfSrMuXL+OLL75AW1sbgoKCMG3aNKSmpg77UnQrO3bsGM6ePYsnn3wS48ePx7fffgun04nAwEA89NBDmDVrlvRMLF4+6ueffwYAxMbGjjgfGxsLq9WK5uZmFi/6v+jv70dZWRkA4NFHH1WcRnuKi4vR09ODzs5O/PDDDzhy5AiSk5OxZs0a1dE0o7+/H8uWLYPJZMKWLVtUx9E8l8uFZcuWeY3FxMRg165dSEtLU5RKW44fPw5gcEV+5syZOHXqlNd8amoqKioqcNddd0nLxK1GH9XZ2Qlg8OLLkQyN//HHH7IikY9bvXo1nE4nsrOzsWDBAtVxNKe4uBgWiwVbt27FkSNHkJ2djaqqKt7g8l82bNiAxsZGfPbZZzAYDKrjaNoLL7yA6upquFwu9Pb24vTp08jNzcXZs2eRnZ2NkydPqo6oCRcuXAAAfPzxx+jr60NNTQ26u7vhdDqxYMEC1NXV4amnnpKaicXrFiWu/lIUr2mi/4etW7fi/fffR3x8PHbv3q06jia5XC4IIeByubBv3z60trYiKSkJDQ0NqqNpQn19PbZs2YK33npLyfbPWFNUVISMjAxMmjQJd9xxBxITE7Fjxw68+eab6Ovrw/r161VH1ISBgQEAg595X375JdLT0xEcHIz77rsP+/fvR2RkJA4dOgS73S4tE4uXjxpa0Rpa+bpeV1eX1/OIbta2bduQn5+PqVOnwmazITw8XHUkTZs0aRJycnJw8OBBuN1uPP/886ojKTe0xRgXF4eNGzeqjjOmDd3gUldXpziJNowfPx4AMGXKFNx///1ecwaD4drqfH19vbRMLF4+Kj4+HgDQ3Nw84nxLSwsAIC4uTlom8j3FxcXIy8tDYmIibDYbD278H5hMJiQkJODHH3/ExYsXVcdRqqenB83NzWhqakJgYKDXYaAWiwUA8Morr0Cn0414bhX9beLEiQCA3t5exUm0Yeiz8M477xxxfqiY9fX1yYrEi+t9VXp6OgDAarXC4/F43dnY3d2No0ePwmAw4JFHHlEVkca4d999F2vXrkVSUhIOHjzIla6bcO7cOQC45e9CCwgIwEsvvTTiXENDAxobGzFnzhzEx8dzG/IfOBwOAIMrPDR48by/vz9++eUXXLly5dqd10OcTieAwV8CkEbqqWEkFQ9QvTk8QPWfbdiwQQAQM2fOFG63W3UczWpqahLnz58fNj4wMHDtANWUlBQFycaOoqIiHqB6HafTOeL7rq2tTcTFxQkAYvPmzQqSadOSJUsEAFFUVOQ1brVahU6nE6GhoeLSpUvS8nDFy4d99NFHSElJwapVq1BdXY2pU6fC4XCgtrYWcXFx2Lx5s+qImlFZWYnKykoAgxdBA4Ddbsfy5csBAOHh4SguLlaUTlvKysrwzjvvwM/PD3PnzkVJScmw55jN5muv3a2sqqoKb7/9NlJTU3H33XcjLCwMHR0dOHToEM6cOQOj0YjS0lLVMWmMKS8vx3vvvYf09HTExMQgJCQEZ86cwTfffIO//voLCxcuREFBgeqYmvHBBx/A4XDAYrGgtrYWDz74IH799Vfs378ffn5+KC0tveFW5KiQVvFIiba2NrF8+XJhNBqFXq8XJpNJrFq1iqsU1xn6Vn2jB3+a42//9FoBEGlpaapjasLp06fFa6+9JqZPny7CwsKEn5+fGDdunHjggQdEUVER34f/Ale8hrPZbOLZZ58V8fHxIjQ0VPj7+4vw8HAxb948UVZWJjwej+qImuN2u0V+fr4wm81Cr9eLCRMmiMcff1zY7XbpWXRCXD1XgIiIiIhGFe9qJCIiIpKExYuIiIhIEhYvIiIiIklYvIiIiIgkYfEiIiIikoTFi4iIiEgSFi8iIiIiSVi8iIiIiCRh8SIiIiKShMWLiIiISBIWLyIiIiJJWLyIiIiIJGHxIiIaJYsXL4ZOp8P27duHza1btw46nQ65ubkKkhGRKjohhFAdgojIF/3+++9ITk5GR0cH7HY7kpOTAQDV1dXIyspCQkIC6uvrYTAYFCclIllYvIiIRtGxY8eQlpaGmJgYNDQ04M8//8T06dPR1dWF48ePIyEhQXVEIpKIW41ERKMoJSUFGzduREtLC3Jzc7F06VK4XC5s376dpYvoFsQVLyKiUSaEQHZ2Nr777jsAwHPPPYc9e/YoTkVEKnDFi4holOl0OuTk5Fz7Oy8vT10YIlKKK15ERKOspaUFM2bMgF6vR2dnJxITE+FwOBAYGKg6GhFJxhUvIqJRdPnyZTzzzDPo7e3F3r17sWbNGpw6dQr5+fmqoxGRAixeRESjqKCgAI2NjSgsLMT8+fNhsVgwe/Zs7NixAxUVFarjEZFk3GokIhollZWVyMnJwaxZs1BXVwd/f38AQHt7O5KSkjAwMIATJ07AbDarDUpE0rB4ERGNgra2NiQlJUEIgRMnTiA6Otpr/quvvsLixYvx8MMP4/Dhw9Dr9YqSEpFMLF5EREREkvAaLyIiIiJJWLyIiIiIJGHxIiIiIpKExYuIiIhIEhYvIiIiIklYvIiIiIgkYfEiIiIikoTFi4iIiEgSFi8iIiIiSVi8iIiIiCRh8SIiIiKShMWLiIiISBIWLyIiIiJJ/gNfGos29UgNtgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "# Default style parameters (feel free to modify as you see fit)\n", "params = {'legend.fontsize': 'large',\n", " 'axes.labelsize': 'x-large',\n", " 'axes.titlesize':'x-large',\n", " 'xtick.labelsize':'x-large',\n", " 'ytick.labelsize':'x-large',\n", " 'xtick.direction':'in',\n", " 'ytick.direction':'in',\n", " }\n", "plt.rcParams.update(params)\n", "\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"f(x)\")\n", "plt.plot(xdat, fdat, 'or', label='Data Points')\n", "plt.plot(xref, fref, '--', label='Reference Function')\n", "plt.legend()\n", "plt.title(\"Visualization of f(x) = sin(x)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How can we interpolate $f(x)$?\n", "\n", "There are several ways. In the following sections, we will explore various interpolation methods and compare their performance and accuracy. Let’s start with the nearest-neighbor method." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Nearest-neighbor interpolation\n", "\n", "Locate the nearest data value and assign the same value\n", "\n", "\"Nearest-neighbor \n", "
\n", " Source: Wikipedia\n", "
\n", "\n", "
\n", "\n", "We have $f(x) \\approx f_{nn}(x)$ where\n", "\n", "
\n", "$f_{nn}(x) = y_i$, \n", "
\n", "where $i$ is such that $|x-x_i|$ is the smallest among all $i$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def f_nearestneighbor_int(x, xdata, fdata):\n", " \"\"\"Returns the nearest-neighbor interpolation of a function at point x.\n", " xdata and ydata are the data points used in interpolation.\n", " xdata is assumed to be in sorted in ascending order.\"\"\"\n", " ind = np.searchsorted(xdata, x) # Search the right interval for point x\n", " if (ind == 0):\n", " return fdata[0]\n", " if (ind == len(xdata)):\n", " return fdata[-1]\n", " x0,f0 = xdata[ind-1],fdata[ind-1]\n", " x1,f1 = xdata[ind],fdata[ind]\n", " if (abs(x-x0) < abs(x-x1)):\n", " return f0\n", " else:\n", " return f1\n", " \n", "xcalc = np.linspace(0,6,100)\n", "fcalc = [f_nearestneighbor_int(xin,xdat,fdat) for xin in xcalc]\n", "\n", "plt.title(\"Nearest-neighbor interpolation\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"f(x)\")\n", "plt.plot(xdat,fdat,'or',label='data')\n", "plt.plot(xcalc,fcalc,label='nearest-neighbor interpolation')\n", "plt.plot(xref,fref,'--',label='true function')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Linear interpolation\n", "\n", "In linear interpolation one connect neighboring data point by straight line.\n", "\n", "\"Linear \n", "
\n", " Source: Wikipedia\n", "
\n", "\n", "
\n", "\n", "We have $f(x) \\approx f_{\\rm lerp}(x)$ where\n", "
\n", "$f_{\\rm lerp}(x) = y_i + \\frac{x-x_i}{x_{i+1}-x_i} (y_{i+1} - y_i)$\n", "
\n", "where $i$ is such that $x \\in (x_i,x_{i+1})$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def linear_int(x,x0,f0,x1,f1):\n", " \"\"\"Returns the value of a function at point x\n", " through linear interpolation between points (x0,y0) and (x1,y1).\"\"\"\n", " return f0 + (f1 - f0) * (x-x0) / (x1-x0)\n", "\n", "\n", "def f_linear_int(x, xdata, fdata):\n", " \"\"\"Returns linear interpolation of a function at point x.\n", " xdata and ydata are the data points used in interpolation.\n", " xdata is assumed to be in sorted in ascending order.\"\"\"\n", " ind = np.searchsorted(xdata, x) # Search the right interval for point x\n", " if (ind == 0):\n", " #if ((xdata[0] - x) > 1e-12): \n", " if (xdata[0] > x):\n", " print(\"x = \", x, \" is outside the interpolation range [\",xdata[0],\",\",xdata[-1],\"]\")\n", " ind = ind + 1\n", " if (ind == len(xdata)):\n", " if (x > xdata[-1]):\n", " #if ((x - xdata[-1]) > 1e-12):\n", " print(\"x = \", x, \" is outside the interpolation range [\",xdata[0],\",\",xdata[-1],\"]\")\n", " ind = ind - 1\n", " x0,f0 = xdata[ind-1],fdata[ind-1]\n", " x1,f1 = xdata[ind],fdata[ind]\n", " return linear_int(x,x0,f0,x1,f1)\n", " \n", "# Calculate the values of f(x) using the linear interpolation\n", "xcalc = np.linspace(0,6,100)\n", "fcalc = [f_linear_int(xin,xdat,fdat) for xin in xcalc]\n", "\n", "plt.title(\"Linear Interpolation: True Function vs Approximation\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"f(x)\")\n", "plt.plot(xdat,fdat,'or',label='data')\n", "plt.plot(xcalc,fcalc,label='linear interpolation')\n", "plt.plot(xref,fref,'--',label='true function')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Error estimate\n", "\n", "The error linear interpolation error is bounded by the value of the second derivative\n", "\n", "$$\n", "|R_T| < \\frac{(x_{i+1}-x_i)^2}{8} max_{x_i \\leq x \\leq x_{i+1}} |f''(x)|\n", "$$\n", "\n", "for each interval. In our case $x_{i+1} - x_{i} = 1$ and $|f''(x)| = |-sin(x)| < 1$, thus |R_T| < \\frac{1}{8} = 0.125" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.title(\"Linear interpolation error\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"${|f_{int}(x) - sin(x)|}$\")\n", "plt.plot(xref,abs(fref-fcalc),'--',label='error')\n", "plt.axhline(y = 1./8. * (xdat[1]-xdat[0])**2, color = 'r', linestyle = '-',label='max. error')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Polynomial interpolation\n", "\n", "In polynomial interpolation the function $f(x)$ is approximated by a polynomial.\n", "If there is $n+1$ data points $(x_0,y_0)$,...,$(x_n,y_n)$,\n", "the interpolation is achieved by a *unique* polynomial $p(x)$ of degree $n$.\n", "\n", "### Lagrange polynomial\n", "\n", "To construct the interpolating polynomial consider the Lagrange basis functions:\n", "$$\n", "L_{j}(x) = \\prod_{k\\neq j} \\frac{x-x_k}{x_j-x_k}.\n", "$$\n", "For each $x = x_k$ one has $L_{n,j}(x_k) = \\delta_{kj}$.\n", "\n", "Therefore, the interpolating polynomial can be constructed as\n", "$$\n", "p(x) = \\sum_{j=0}^n y_j L_{j}(x)\n", "$$" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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c9vb22LRpE/766y+Vc8uXL8eNGzfQr18/eHh4VKu9vn37wt/fH+vWrcOvv/4Kf39/teyjZ2JigrFjxyInJwfz589XORcfH4+VK1fC2NgYL7/8cp37qomyx+LLEr8y+/btw3fffafRWKrSpEkTAFDWL3tUx44d0aNHD2zbtg0//PBDhfdfvHixWtN8jyspKcGcOXNUanAlJCRg5cqVMDIyUq43BICJEycCAObOnYu8vDzl8by8PLz77rsASksoPImjoyPMzc1x+vRplanR4uJiTJ8+HWlpaeXusbOzg0QiqfC9qUy3bt3g7++P48eP45dfflE598svv+Do0aPw8/ND9+7dq91mTcyaNQtFRUWYOHEiMjMzy51/8OBBjUfDnqTsZ7No0SLlmj+g9Oc7e/ZsKBSKKn82pL841UikJpaWlvjhhx8watQo9OrVC6NGjYKHhwf+/vtvREREwNnZWTlyVV2TJ0/GzJkzAahntKvMkiVLcOzYMaxevRqnTp1CSEiIso5XdnY2Vq9eXeEi7vr0xhtvIDw8HKNHj8aIESPg5uaGS5cuYe/evRg9ejS2bNmi0XiepG/fvvj000/x+uuvY8SIEbC0tIStrS3efPNNAMDGjRvRp08fvPrqq1i5ciU6d+4MW1tbpKSk4MKFC7h06RL+/PPPJy7MrkhQUBBOnjyJDh06IDQ0FDKZDFu2bEFmZiaWLl2qMm314osv4rfffsPWrVvRqlUrDB8+XLkuKyEhAaNHj8bYsWOf2J+BgQGmTZuGJUuWoHXr1hg2bBiKiooQGRmJjIwMZc25R1laWqJz5844evQoXnrpJfj6+sLQ0BDPPPMMgoKCKuynrCht//79MWbMGAwbNgwBAQHKrbmsrKywYcMGGBjUz1jBxIkT8ffff+Orr76Cj48PBgwYAA8PD2RkZCAhIQFHjx7FhAkTsGbNGrX0FxwcjP/85z9YunQpnnrqKYwcORIWFhbYs2cPLl26hO7du5eryUYNiLYfqyTSdaikjldlTp48KYYPHy4cHByEsbGxcHd3F5MnTxa3bt0qd21VZRUyMjKEgYGBMDU1Fenp6RVeU9Hj+Y+qqISCEKU1pf7zn/+IFi1aCBMTE2FjYyP69esn9u3bV6M+qiofgApKFFT2uqOiokRISIiwtbUVlpaWolu3bmL79u2V9q/OchLh4eHVjl8IIZYtWyYCAgKEiYmJsibTo7KyssRHH30k2rdvLywsLISpqanw8vISgwcPFmvXrlWpxVRVDI/GcevWLTF27FjRtGlTIZVKRbt27cT//ve/Cu8pKSkRX375pejQoYMwMzMTZmZmon379mL16tUqNbGe9FqLi4vFsmXLRGBgoDA1NRVOTk7ipZdeEomJiZX+HK9duyaGDh0q7O3thUQiUXltT/pdiomJES+99JJwdnYWRkZGwtnZWYwdO1bExMSUu7asnERkZGS5c1X9TlZm586dYsiQIaJp06bC2NhYODk5iaefflr897//FVevXlW5trLfi+qeF0KITZs2iW7duglLS0shlUpFy5YtxaJFi8rVEhOi8n/HpH8kQlTxqBYRac2hQ4fQt29fvPzyy2rbNof0k0QiQa9evSpdB0VE+oFrvIh02NKlSwFAOYVFRET6jWu8iHTMhQsX8Ntvv+Hvv//Gvn37MGzYMHTq1EnbYRERkRow8SLSMWfOnMH8+fNhbW2NMWPG4KuvvtJ2SEREpCZc40VERESkIVzjRURERKQhTLyIiIiINIRrvHSMQqHA7du3YWVlxX25iIiI9IQQAtnZ2XB1dX1isV8mXjrm9u3bcHd313YYREREVAvJyclo1qxZpeeZeOkYKysrAKU/OGtray1HQ0RERNWRlZUFd3d35ed4ZZh46Ziy6UVra2smXkRERHqmqmVCXFxPREREpCFMvIiIiIg0hIkXERERkYYw8SIiIiLSECZeRERERBrCxIuIiIhIQ5h4EREREWkIEy8iIiIiDWHiRURERKQhTLyIiIiINISJFxEREZGGMPEiIiIi0hBukq2rcnMBQ0NtR0FERETVkZtbrcuYeOkqV1dtR0BERERqpjdTjSkpKZg4cSJcXV0hlUrh5eWFGTNm4MGDB/XWTnJyMt544w107twZzs7OkEqlcHV1RY8ePRAeHo7i4uJy96xbtw4SiaTSrzVr1tT6PSAiIiL9phcjXvHx8QgODkZqaiqGDRuGgIAAnDx5EitWrMDevXsRFRWFJk2aqL2d+Ph4/O9//0Pnzp0xfPhw2NvbIz09HXv27MHEiROxYcMG7N+/H0ZG5d/GYcOGoW3btuWOd+zYsXov+vZtwNq6etcSERGRdmVlVW+2SuiB0NBQAUCsXLlS5fjMmTMFADFp0qR6aaewsFCUlJSUa6eoqEj06tVLABCbN29WORceHi4AiPDw8GrF9DiZTCYACJlMVqv7iYiISPOq+/mt81ON8fHxiIiIgLe3N6ZOnapybuHChbCwsMCGDRuQk5Oj9nZMTExgYFD+LTI2Nsazzz6rbJeIiIioOnQ+8YqMjAQAhIaGlkuCrKys0K1bN+Tn5yM6Oloj7QBASUkJdu/eDQAICgqq8Jpz585h+fLlWLJkCX788UekpKRU2S4RERE1bDq/xis2NhYA4OvrW+F5X19fREREIC4uDn379q2XdtLS0rB69WoIIXD//n3s378f169fx7hx4zB06NAK21uxYoXK94aGhnjttdewfPlymJqaVhonERERNVw6n3jJZDIAgI2NTYXny45nZmbWWztpaWlYuHCh8nuJRIL//Oc/WLRoUblrvb29sWrVKoSGhqJZs2aQyWQ4fvw45s6di7Vr1yIrKwsbN258YqwAkJWVpfK9VCqFVCqt8j4iIiLSXTo/1VgVIQSA0mSovtoJCAiAEAJyuRw3b97EF198gTVr1qBnz57IyMhQubZXr15488034efnB3Nzc7i4uGDUqFGIjIyEra0tNm3ahPPnz1cZj7u7O2xsbJRfixcvrtPrIyIiIu3T+cSrbCSqbMTqcWUjQ5WNZKmzHUNDQ3h4eGD69On45ptv8Ndff2H+/PlPfgEPubu7Y8iQIQCAo0ePVnl9cnIyZDKZ8mvu3LnV6oeIiIh0l85PNfr7+wMA4uLiKjx/7do1AICfn59G2ikzcOBAAMDhw4erdT0AODo6AgByq7GtgLW1NaxZx4uIiKhB0fkRr5CQEABAREQEFAqFyrns7GxERUXBzMwMXbp00Ug7ZW7dugUAFRZPrUzZE5PNmzev9j1ERETUcOh84uXj44PQ0FAkJibiyy+/VDkXFhaG3NxcjBs3DhYWFgCA4uJixMTElKuvVdN2gNJEKS8vr1xMOTk5mD59OgAopw/LHDt2rNz1QggsXboUJ06cgIODg3K0jIiIiBoXiShbVa7DHt/qJzAwENHR0YiMjISfnx9OnDih3OonMTER3t7e8PT0RGJiYq3bAYDhw4fj8OHD6NWrFzw8PGBubo7k5GTs2bMHmZmZCA4Oxr59+2Bpaam8RyKRwM/PD08//TTc3Nwgk8lw4sQJXLx4Eebm5ti+fTtCQ0Mrfa1ZWVmwsbGBTCbjVCMREZGeqO7nt14kXkDpYvP58+dj7969SE9Ph4uLC4YPH46wsDDY29srr3tS4lWTdgBg165d2LhxI06dOoV79+4hLy8PdnZ2CAoKwujRozFx4sRyU43vvPMOTp48iWvXriEjIwMGBgbw8PBAv379MGvWrCqnGZl4ERER6Z8Gl3g1Fky8iIiI9E91P791fo0XERERUUPBxIuIiIhIQ5h4EREREWkIEy8iIiIiDWHiRURERKQhTLyIiIiINISJFxEREZGGMPEiIiIi0hAmXkREREQawsSLiIiISEOYeBERERFpCBMvIiIiIg1h4kVERESkIUy8iIiIiDSEiRcRERGRhjDxIiIiItIQJl5EREREGsLEi4iIiEhDmHgRERERaQgTLyIiIiINYeJFREREpCFMvIiIiIg0hIkXERERkYYw8SIiIiLSECZeRERERBrCxIuIiIhIQ5h4EREREWkIEy8iIiIiDWHiRURERKQhTLyIiIiINISJFxEREZGGMPEiIiIi0hC9SbxSUlIwceJEuLq6QiqVwsvLCzNmzMCDBw/qrZ3k5GS88cYb6Ny5M5ydnSGVSuHq6ooePXogPDwcxcXFlfazfv16dOrUCZaWlrCxsUHv3r3xxx9/1Ph1ExERUcMhEUIIbQdRlfj4eAQHByM1NRXDhg1DQEAATp48icjISPj7+yMqKgpNmjRRezuHDx/GsGHD0LlzZzRv3hz29vZIT0/Hnj17kJycjN69e2P//v0wMjJS6Wf27NlYtmwZmjVrhpEjR6KoqAibN29GRkYGVq1ahTfffLPSGLOysmBjYwOZTAZra+vav2lERESkMdX+/BZ6IDQ0VAAQK1euVDk+c+ZMAUBMmjSpXtopLCwUJSUl5dopKioSvXr1EgDE5s2bVc5FRUUJAMLHx0dkZGQojyckJAh7e3shlUpFQkJCpTHKZDIBQMhksmq9JiIiItK+6n5+6/xUY3x8PCIiIuDt7Y2pU6eqnFu4cCEsLCywYcMG5OTkqL0dExMTGBiUf4uMjY3x7LPPKtt91Ndffw0AeO+992BnZ6c87uXlhalTp6KwsBA//PBDNV45ERERNTQ6n3hFRkYCAEJDQ8slQVZWVujWrRvy8/MRHR2tkXYAoKSkBLt37wYABAUFVdjPwIEDy903aNAglWuIiIiocdH5xCs2NhYA4OvrW+H5suNxcXH11k5aWhoWLFiAsLAwvPHGGwgICEBERATGjRuHoUOHKq/Lzc3FrVu3YGlpCWdn51rHSkRERA2TUdWXaJdMJgMA2NjYVHi+7HhmZma9tZOWloaFCxcqv5dIJPjPf/6DRYsW1UusQOkivUdJpVJIpdIq7yMiIiLdpfMjXlURDx/KlEgk9dZOQEAAhBCQy+W4efMmvvjiC6xZswY9e/ZERkZGjfuqTqzu7u6wsbFRfi1evLjG/RAREZFu0fkRr7JRorLRpMeVjQxVNsqkznYMDQ3h4eGB6dOnw9nZGc8//zzmz5+P1atXV6uPqkbEHpWcnKzyOCpHu4iIiPSfzo94+fv7A6h8XdS1a9cAAH5+fhppp0zZ4vnDhw8rj1lYWMDNzQ05OTm4c+dOnfqwtrZW+WLiRUREpP90PvEKCQkBAEREREChUKicy87ORlRUFMzMzNClSxeNtFPm1q1bAFCueGqfPn0AAHv37i13z549e1SuISIiosZF5xMvHx8fhIaGIjExEV9++aXKubCwMOTm5mLcuHGwsLAAABQXFyMmJqZcfa2atgMA0dHRyMvLKxdTTk4Opk+fDgAYMmSIyrnJkycDAD766COVbYjK+pVKpZgwYUJN3wYiIiJqAPRyy6DAwEBER0cjMjISfn5+OHHihHKrn8TERHh7e8PT0xOJiYm1bgcAhg8fjsOHD6NXr17w8PCAubk5kpOTsWfPHmRmZiI4OBj79u2DpaWlSj9vv/02Pv/8c5Utg7Zs2YL09HRuGURERNQAVffzWy8SL6B0sfn8+fOxd+9epKenw8XFBcOHD0dYWBjs7e2V1z0p8apJOwCwa9cubNy4EadOncK9e/eQl5cHOzs7BAUFYfTo0Zg4cWK5qcYy69evx+rVq3HlyhUYGBigffv2eOedd1TqflWEiRcREZH+aXCJV2PBxIuIiEj/VPfzW+fXeBERERE1FEy8iIiIiDSEiRcRERGRhjDxIiIiItIQJl5EREREGsLEi4iIiEhDmHgRERERaQgTLyIiIiINYeJFREREpCFMvIiIiIg0hIkXERERkYYw8SIiIiLSECZeRERERBrCxIuIiIhIQ5h4EREREWkIEy8iIiIiDWHiRURERKQhTLyIiIiINISJFxEREZGGMPEiIiIi0hAmXkREREQawsSLiIiISEOYeBERERFpCBMvIiIiIg1h4kVERESkIUy8iIiIiDSEiRcRERGRhjDxIiIiItIQJl5EREREGsLEi4iIiEhDmHgRERERaQgTLyIiIiIN0ZvEKyUlBRMnToSrqyukUim8vLwwY8YMPHjwoN7auXbtGj755BP06dMH7u7uMDExgZOTE5555hlERkZW2P66desgkUgq/VqzZk2tXj8RERHpPyNtB1Ad8fHxCA4ORmpqKoYNG4aAgACcPHkSK1aswN69exEVFYUmTZqovZ33338fW7ZsQWBgIAYPHgx7e3vExsbi999/x86dO7F8+XJMnz69wr6GDRuGtm3bljvesWPHWr8PREREpOeEHggNDRUAxMqVK1WOz5w5UwAQkyZNqpd2fvjhB3H69Oly7Rw+fFgYGxsLY2Njcfv2bZVz4eHhAoAIDw+vVkyPk8lkAoCQyWS1up+IiIg0r7qf3xIhhNBi3lel+Ph4tGjRAt7e3rh+/ToMDP6ZHc3OzoaLiwsUCgVSU1NhaWlZ7+2UCQ0Nxf79+/Hzzz9j5MiRyuPr1q3DhAkTEB4ejvHjx9f49WZlZcHGxgYymQzW1tY1vp+IiIg0r7qf3zq/xqtsLVVoaKhKsgQAVlZW6NatG/Lz8xEdHa2RdsqYmJgAAIyNjSs8f+7cOSxfvhxLlizBjz/+iJSUlGq1S0RERA2XzidesbGxAABfX98Kz5cdj4uL00g7AHDz5k0cOHAA5ubm6NmzZ4XXrFixAjNnzsTcuXMxbtw4eHl5YfLkySgoKKiyfSIiImqYdD7xkslkAAAbG5sKz5cdz8zM1Eg7hYWFGDt2LAoLCxEWFgY7OzuV897e3li1ahViY2ORm5uL27dvY+vWrfDy8sLatWsxceLEJ7ZfJisrS+WrsLCwWvcRERGR7tL5xKsqZUvUJBJJvbcjl8sxduxYREVFYeTIkXjnnXfKXdOrVy+8+eab8PPzg7m5OVxcXDBq1ChERkbC1tYWmzZtwvnz56uMx93dHTY2NsqvxYsX1/7FERERkU7Q+XISZSNRZSNWj8vKylK5rr7akcvlePHFF/Hrr79i1KhR2LhxY42SPXd3dwwZMgT/+9//cPToUbRp0+aJ1ycnJ6sszpNKpdXui4iIiHRTjRKvpKQktXVsa2tbraf2/P39AVS+9uratWsAAD8/v3prp7i4GGPGjMH27dvx4osvYsOGDTA0NKwy9sc5OjoCAHJzc6u81tramk81EhERNTA1Sry8vLzqPKVXJiwsDPPnz6/yupCQEABAREQEFApFuTIQUVFRMDMzQ5cuXeqlnaKiIowcORI7d+7EuHHjEB4eXu6pyOoqe2KyefPmtbqfiIiI9FuNEq/58+erLfHq1atXta7z8fFBaGgoIiIi8OWXX+Ktt95SngsLC0Nubi4mTZoECwsLAKWjU/Hx8TA2NoaPj0+t2wFKF9I/99xz2L17N1599VV88803VSZdx44dQ48ePVSOCSHw6aef4sSJE3BwcMDAgQOr9dqJiIioYdH5AqpA+a1+AgMDER0djcjISPj5+eHEiRPKrX4SExPh7e0NT09PJCYm1rodAJgwYQLWrVsHBwcHvPHGGxUmnb1790bv3r2V30skEvj5+eHpp5+Gm5sbZDIZTpw4gYsXL8Lc3Bzbt29HaGhopa+VBVSJiIj0T3U/v3V+cT1QOlp1+vRpzJ8/H3v37sXu3bvh4uKCadOmISwsDPb29vXSTkJCAgAgLS0NH3zwQaXtPpp4zZ49GydPnsShQ4eQkZEBAwMDeHh4YOrUqZg1axanGYmIiBoxvRjxakw44kVERKR/GsyWQUREREQNRa2nGoUQOHDgACIiInD06FEkJycjLS0NZmZmcHR0RNu2bdGnTx8888wzcHNzU2fMRERERHqpxlONeXl5WLlyJdauXYukpCRlxXdTU1PY29sjPz8fmZmZyuNGRkb417/+hbfffhvBwcHqfwUNDKcaiYiI9E+9TDWGh4fD19cX8+bNg4WFBRYsWID9+/cjMzMTeXl5SElJQXp6OuRyOa5cuYIffvgBI0aMwJ49e9CjRw+MGTNGrUVYiYiIiPRJjUa8DAwM8Oyzz2Lu3Lno2LFjtTvJysrC+vXrsWTJEkyaNKlahVMbK454ERER6Z/qfn7XKPE6c+YM2rdvX+ugCgoKkJiYiICAgFq30dAx8SIiItI/9TLVWJekCyhdB8aki4iIiBqrOpWTmDdvnrriICIiImrw6pR4LVmyBFOmTFFXLEREREQNWp0SrxdffBFr167Fiy++CLlcXuE1f/31V7lNo4mIiIgaozrt1fjTTz/BwcEBK1euhEwmw6+//gpTU1MAwPXr1/Huu+9i+/btagmUiIiISN/Vecug5cuX48MPP8SePXsQGhqKuLg4vPnmm2jVqhW2bduGDh06ICIiQh2xEhEREem1Oo14lfnvf/8LGxsbTJs2DYGBgQAAf39/fPjhhxgxYoQ6uiAiIiLSe3VOvIQQ+PHHH/H5558rv3dxccGxY8fQpEmTOgdIRERE1FDUaapxx44daN26NSZMmIC7d+/i3XffxbJly3D37l307dsXqamp6oqTiIiISO/VacTrueeeg4GBAcaNG4dFixbBzc0NAODs7Izx48ejW7du2L9/P7y8vNQRKxEREZFeq9OIV//+/XHmzBmEh4crky4AeOGFF7B9+3bcvn0b3bt3x+XLl+scKBEREZG+q9FejTV1/PhxDB06FEZGRkhLS6uvbhoU7tVIRESkf+plr8aa6t69O44cOQJjY+P67IaIiIhIL9Qo8crPz69xB23atMHx48fr1AYRERFRQ1CjxKt58+ZYvXo1iouLa9SJj48Pzp8/j2HDhuGzzz6r0b1EREREDUWNEq/+/ftj+vTpcHFxwbRp03D8+HEUFhZWev2NGzfw9ddfo2vXrmjfvj3Onz+PkJCQOgdNREREpI9qvLj+9OnTmDdvHg4ePAgAMDIyQsuWLeHk5AQ7OzsUFBQgPT0dsbGxSEtLgxACTk5OmD59OmbOnAmpVFovL6Sh4OJ6IiIi/VPdz+9aP9V47do1fP/99zhw4ADOnTsHhUKhcr5p06bo2bMnRowYgREjRnCBfTUx8SIiItI/9Z54PSovLw+3bt1Ceno6zMzM4OjoCBcXl7o22ygx8SIiItI/1f38Vssm2ebm5vD19YWvr686miMiIiJqkOq1jhcRERER/aPOI165ubk4d+4cCgoK4OPjw30ZiYiIiCpRp8Tr5MmTGDZsGFJTU5XHbGxs0K5dO3To0AHt27dHhw4dOAVJREREhDomXrNmzcK9e/fw3HPPITAwEHFxcThz5gwOHz6MyMhISCQSAICVlRUyMzPVES8RERGR3qpT4nX+/HkMGTIEv/zyi8pxmUyGM2fO4O+//8bp06dx5syZOgVJRERE1BDUKfGysLBAq1atyh23sbFBSEgIq9QTERERPaJOiVdISAhiYmLUFcsTpaSkYP78+di7dy/S09Ph4uKC4cOHIywsDHZ2dvXSzrVr17Bt2zbs27cP165dw71792BnZ4fOnTtj5syZT0ws169fjy+//BJXrlyBoaEh2rVrh9mzZ2Po0KG1fg+IiKh2SkpKarzPMBEAGBsbw9DQUG3t1amA6qVLl9CpUyf89ddfCAoKUltQj4uPj0dwcDBSU1MxbNgwBAQE4OTJk4iMjIS/vz+ioqLQpEkTtbfz/PPPY8uWLQgMDESPHj1gb2+P2NhY/P777ygpKcHy5csxffr0cv3Mnj0by5YtQ7NmzTBy5EgUFRVh8+bNyMjIwKpVq/Dmm29WGiMLqBIRqY8QAnfv3uU6Y6oTW1tbODs7K9euV0QjlevDwsJw9epVHD16FOvXr8eAAQNq29QTDRgwABEREVi5ciXeeust5fFZs2bhiy++wKRJk7BmzRq1txMeHo6goCB06NBBpZ0jR46gf//+AICbN2+qVOk/ceIEunXrBh8fH5w6dUo5ipaYmIgOHTogNzcXMTExlZbdYOJFRKQ+d+7cQWZmJhwdHWFubv7ED06ixwkhkJeXh9TUVNja2j5xV55qf36LOpBIJMLAwED5v97e3uLf//63WLt2rfj7779FcXFxXZoXQghx/fp1AUB4e3uLkpISlXNZWVnCwsJCmJmZiezsbI20U6Z///4CgPj5559Vjr/00ksCgAgPDy93z/vvvy8AiPfff7/SdmUymQAgZDJZteIgIqKKyeVyceXKFZGWlqbtUEjPpaWliStXrgi5XF7pNdX9/K5T5fqIiAgsWbIEY8aMga+vL5KSkvDtt99iypQpePrpp2FlZYWnn34ab7zxRq37iIyMBACEhobCwEA1XCsrK3Tr1g35+fmIjo7WSDtlTExMAKDc5t9l/QwcOLDcPYMGDVK5hoiI6k/Zmi5zc3MtR0L6rux3SB3rBOuUePXr1w/vvPMONm3ahJiYGMhkMhw7dgzLly/HK6+8An9/f1y4cAFr166tdR+xsbEAUGkR1rLjcXFxGmkHKJ1ePHDgAMzNzdGzZ0/l8dzcXNy6dQuWlpZwdnauUx9ERKQenF6kulLn75BaNskuY2FhgW7duqFbt27KY0VFRbh06VKt25TJZABKS1RUpOx4VQsn1dVOYWEhxo4di8LCQnzyyScqT0Kqqw+gdK74UVKpFFKptMr7iIiISHfVaMRry5YtuH79eo06MDExQfv27Wt0T02Ih88G1DUbrU47crkcY8eORVRUFEaOHIl33nmnVn1VJ1Z3d3fY2NgovxYvXlyrvoiIiEh31GjE64UXXoCBgQGuXLkCPz8/vPvuu2jXrh3at29fb/sxlo0SlY0mPa5sZKiyUSZ1tSOXy/Hiiy/i119/xahRo7Bx48ZyCVRVfVQ1Ivao5ORklaciONpFRESk/2qUeH322Wf4+++/lYvMli5dqkw+LC0t0bZtW7Rv316ZjLVs2bLcQvaa8vf3B1D5uqhr164BAPz8/OqtneLiYowZMwbbt2/Hiy++iA0bNlRYTM3CwgJubm64desW7ty5U+6x0+rGCgDW1tYsJ0FERNTA1CjxmjVrlsr3hw4dwpkzZ5RfUVFROHbsmDIZMzU1RevWrdGhQwd8+eWXtQqwrDp8REQEFAqFSiKXnZ2NqKgomJmZoUuXLvXSTlFREUaOHImdO3di3LhxCA8Pf2Iy2adPH/z444/Yu3cvJkyYoHJuz549ymuIiIi0obi4GBKJBEZG5VOAvLy8Oj0FKoRAQUEBzMzM6hJiw6bOOhe5ubnixIkTYvXq1WLixImibdu2wsTERBgYGNSp3dDQUAFArFy5UuX4zJkzBQAxadIk5bGioiJx9epVcf369Tq1I4QQBQUFYvDgwQKAePXVV8vV/6pIVFSUACB8fHxERkaG8nhCQoKwt7cXUqlUJCQkVHo/63gREalHfn6+uHLlisjPz9d2KPUmLi5OvPDCC6Jp06bCxMREBAQEiNWrVyvPR0ZGCgBiw4YNYtasWcLV1VVIJBJx9epV8corrwgLCwtx4cIF0b9/f2FpaSm6dOkihBAiPT1dTJkyRbi6ugpjY2Ph7e0t5s2bJwoKClT6ByCmTp0qvv76axEQECCMjY3F119/rdH3QBOq87tU3c9vtT7VaG5ujq5du6Jr167KY3V9qhEAvvrqKwQHB2PatGk4ePAgAgMDER0djcjISPj5+eGjjz5SXnvr1i0EBgbC09MTiYmJtW4HACZPnozdu3fDwcEBbm5u+OCDD8rF1rt3b/Tu3Vv5fXBwMGbNmoXPP/8cQUFByi2DtmzZotwyqLKq9UREpDl5RfJKzxlIJDA1Nqz3a+viypUrCA4OhoeHB5YtWwZnZ2fs27cP06ZNQ1paGsLCwpTXzp07F127dsWaNWtgYGAAR0dHAKWf0c888wwmTZqEd999F3K5HAUFBQgJCUF8fDwWLlyIoKAgHDt2DIsXL8a5c+ewa9culTh27NiBY8eOYf78+XB2dla2TRWrU+I1b948REREICIiAvb29srjxcXFuHfvHpo1a6aWpxp9fHxw+vRp5ebWu3fvhouLC6ZNm4awsDCVvtXZTkJCAgAgLS2twqSrzKOJFwAsW7YMQUFBWL16Nb755hsYGBigffv2eOedd7hJNhGRjmg5f1+l50L8myJ8Qifl9x0+PID84pIKr+3sbY8tk/4ZcOj+SSQycosqvDaomQ1+f7N7LSNWNWvWLFhZWeH48ePKNcH9+/dHYWEhlixZgmnTpimv9fHxwc8//1yujeLiYsyfP19laczatWtx4cIFbN26FaNGjVK2a2lpiTlz5mD//v3KbfMAICcnBxcvXlQpr0SVq1PiFRERAblcrpKwnDt3DqGhoUhPT4eHhwfCw8PLJSa14e7ujvDw8Cqv8/LyUpaGqEs7AHD48OHqhlfOK6+8gldeeaXW9xMREVWmoKAABw8exJQpU2Bubg65/J9RtsGDB2P16tX466+/lGutRowYUWlbj587dOgQLCwsMHLkSJXj48ePx5w5c3Dw4EGVxKtPnz5MumqgTonXzZs3MXz4cJVj7733HtLS0tClSxdcvXoVQ4cOxfnz5+Hj41OXroiIiNTqygcDKj1n8Fi5oL/f71fta4/PCan2tbWVnp4OuVyOVatWYdWqVRVek5aWBnd3dwCodHNnc3Pzck/Qp6enw9nZuVzJJEdHRxgZGSE9PV3l+JM2jqby6pR45eTkwMnJSfl9ZmYmIiIiMHr0aGzevBlxcXFo164dli5dWqdtg4iIiNTN3KT6H4H1dW1t2dnZwdDQEC+//DKmTp1a4TXe3t64ePEigMoLd1d0vEmTJoiOjoYQQuV8amoq5HI5HBwcqmyDKlen3w43NzekpaUpv9+3bx9KSkrw73//G0BpvapnnnkG+/fvr1uUREREpGRubo6QkBCcPXsWQUFBMDExUVvbffv2xdatW7Fjxw48++yzyuMbNmxQnqfaq1Pi1bp1a+zduxclJSUwNDTEpk2bym0c7e3tje3bt9c5UCIiIvrHihUr0L17d/To0QNTpkyBl5cXsrOzcf36dezcuROHDh2qVbvjxo3Dl19+iVdeeQWJiYlo3bo1jh8/jo8//hiDBw9Gv36VT7tS1eqUeM2aNQu9evVC//794efnh507d2LkyJEqRdlSU1Nhampa50CJiIjoHy1btsSZM2fw4Ycf4r333kNqaipsbW3h6+uLwYMH17pdU1NTREZG4r///S8+/fRT3L9/H25ubpg9e7ZKiQqqHYl40iOA1fDxxx8jLCwMJSUlsLGxQVRUFFq2bKk837VrV2RmZuLq1at1DrYxyMrKgo2NDWQyGbcMIiKqg4KCAiQkJMDb25sDAFQn1fldqu7nd902UkRpLa9bt27h8OHDuH79ukrSdePGDZw8eRKdOnV6QgtEREREjYNaHr1wdHSssFJtVlYWXnnllXIlJ4iIiIgao3p95rVt27b44Ycf6rMLIiIiIr1R56lGIiIiIqoeJl5EREREGsLEi4iIiEhDmHgRERERaQgTLyIiIiINUWviNXHiRLz33nvqbJKIiIiowVBr4rVu3Tps27ZNnU0SERERNRicaiQiIiLSECZeRERERBrCxIuIiIj0Qn5+PoQQFZ7Ly8urU9slJSUoLCysUxvVwcSLiIhIzyxYsAASiQQXLlzAqFGjYGNjA3t7e8yaNQtyuRyxsbEYOHAgrKys4OXlhaVLl6rcX1BQgLfffhtt27ZV3tu1a1f89ttvKtdt3rwZEokEq1evVjkeFhYGQ0ND7N+/v1bxnz59Gs888wzs7e1hamqKdu3aYevWrSrXrFu3DhKJBBEREZg4cSKaNm0Kc3NzFBYWonfv3njqqadw9OhRBAcHw9zcHBMnTgQAJCUl4aWXXoKjoyOkUikCAwOxbNkyKBQKZduJiYmQSCRYunQpFi1aBG9vb0ilUkRGRtbq9dREve7VSEREpHOEAOo4OqJW5uaARFKrW0ePHo2XXnoJkyZNwv79+7F06VIUFxfjwIEDeOONNzB79mxs3LgRc+bMQYsWLfDcc88BAAoLC5GRkYHZs2fDzc0NRUVFOHDgAJ577jmEh4dj3LhxAIDnn38eR44cwdtvv40uXbqgY8eOOHToEBYtWoR58+ahf//+NY45MjISAwcOROfOnbFmzRrY2Nhg8+bNGDNmDPLy8jB+/HiV6ydOnIghQ4bgxx9/RG5uLoyNjQEAd+7cwUsvvYT//Oc/+Pjjj2FgYID79+8jODgYRUVF+PDDD+Hl5YU//vgDs2fPRnx8PL766iuVtleuXAk/Pz989tlnsLa2hq+vby1+CjUk1EgikYjAwEB1NtnoyGQyAUDIZDJth0JEpNfy8/PFlStXRH5+vuqJnBwhStMv3fjKyanxawsLCxMAxLJly1SOt23bVgAQ27ZtUx4rLi4WTZs2Fc8991yl7cnlclFcXCxeffVV0a5dO5VzBQUFol27dsLb21tcuXJFODk5iV69egm5XF7juIUQIiAgQLRr104UFxerHB86dKhwcXERJSUlQgghwsPDBQAxbty4cm306tVLABAHDx5UOf7uu+8KACI6Olrl+JQpU4REIhGxsbFCCCESEhIEAOHj4yOKioqqjLnS36VHVPfzm1ONREREemro0KEq3wcGBkIikWDQoEHKY0ZGRmjRogVu3rypcu3PP/+Mbt26wdLSEkZGRjA2Nsb333+Pq1evqlwnlUqxdetWpKeno3379hBCYNOmTTA0NKxxvNevX0dMTAzGjh0LAJDL5cqvwYMH486dO4iNjVW5Z8SIERW2ZWdnhz59+qgcO3ToEFq2bIlOnTqpHB8/fjyEEDh06JDK8WeeeUY5gqYpnGokIqLGxdwcyMnRdhT/MDev9a329vYq35uYmMDc3BympqbljmdlZSm/37ZtG0aPHo1Ro0bhnXfegbOzM4yMjPD111/jhx9+KNdPixYt0KNHD+zatQtTpkyBi4tLreK9d+8eAGD27NmYPXt2hdekpaWpfF9ZXxUdT09Ph5eXV7njrq6uyvPVabs+MfEiIqLGRSIBLCy0HYVW/fTTT/D29saWLVsgeWR9WWVP9X333XfYtWsXOnXqhNWrV2PMmDHo3Llzjft1cHAAAMydO1e53uxx/v7+Kt9LKln/VtHxJk2a4M6dO+WO3759W6X/qtquT5xqJCIiamQkEglMTExUEo+7d++We6oRAC5evIhp06Zh3LhxOHbsGIKCgjBmzBg8ePCgxv36+/vD19cX58+fR8eOHSv8srKyqvXr6tu3L65cuYIzZ86oHN+wYQMkEglCQkJq3ba6qDXx8vDwgJubmzqbJCIiIjUbOnQoYmNj8cYbb+DQoUNYv349unfvXm7qLTc3F6NHj4a3tze++uormJiYYOvWrcjMzMSECRNUrm3RogVatGhRZd9r167FwYMHMWDAAGzatAlHjx7Fjh07sHjxYowaNapOr2vmzJlwc3PDkCFD8O233yIiIgLTp0/HV199hSlTpsDPz69O7auDWqcaExMT1dkcERER1YMJEyYgNTUVa9aswQ8//IDmzZvj3XffRUpKChYuXKi8bvLkyUhKSsKpU6dg8XB6tnnz5vjuu+8watQoLF++HDNmzABQulC+OkJCQnDy5El89NFHmDFjBh48eIAmTZqgZcuWGD16dJ1eV9OmTXHixAnMnTsXc+fORVZWFpo3b46lS5di1qxZdWpbXSRCVFIClrQiKysLNjY2kMlksLa21nY4RER6q6CgAAkJCfD29i632JyoJqrzu1Tdz2+u8SIiIiLSECZeRERERBrCxIuIiIhIQ5h4EREREWmI3iReKSkpmDhxIlxdXSGVSuHl5aV8GqK+2ikuLsaKFSswYcIEtG3bVlnz5Lvvvqu0/bLd1Cv7WrNmTY1fOxERETUMtS4nIYTAgQMHEBERgaNHjyI5ORlpaWkwMzODo6Mj2rZtiz59+uCZZ56pc22v+Ph4BAcHIzU1FcOGDUNAQABOnjyJFStWYO/evYiKikKTJk3U3k5ubq7yMVknJyc4OzsjOTm5WjEPGzYMbdu2LXe8Y8eO1bqfiIjUgw/vU12p9Xeoyi25H5ObmysWL14svLy8hIGBgZBIJEIikQgzMzPh5uYm7O3tVY4bGxuL5557TkRFRdW0K6XQ0FABQKxcuVLl+MyZMwUAMWnSpHppp7CwUOzevVvcvn1bCPHPbvDffvttpX2U7aYeHh5erZgeV93dzYmI6MmKi4vFlStXRFZWlrZDIT2XlZUlrly5IoqLiyu9prqf3zWaagwPD4evry/mzZsHCwsLLFiwAPv370dmZiby8vKQkpKC9PR0yOVyXLlyBT/88ANGjBiBPXv2oEePHhgzZgySkpJqlBjGx8cjIiIC3t7emDp1qsq5hQsXwsLCAhs2bEBOFRue1qYdExMTDBo0SCubaBIRUd0YGhrC0NBQZXNootrIyspS/j7VVY2mGl999VU8++yzmDt37hOnzCQSCQICAhAQEIDx48cjKysL69evx5IlS7Bu3TrMnz+/2n1GRkYCAEJDQ2FgoJonWllZoVu3boiIiEB0dDT69u1b7+1U17lz57B8+XIUFBTAzc0NISEhaNasWZ3bJSKi6pFIJHB0dMSdO3cglUphYWGhlU2RSX8JIZCbm4usrCy4uLio5fenRonX6dOn0b59+xp3Ym1tjbfeeguvv/56jbcVio2NBQD4+vpWeN7X1xcRERGIi4t7YsKkrnaqa8WKFSrfGxoa4rXXXsPy5curVUH58b/QpFIppFJpneMiImpMbGxskJ+fj7S0NNy/f1/b4ZAekkgksLW1hY2NjVraq1HiVZuk61GmpqYICAio0T0ymQwAKn3BZcczMzM10k5VvL29sWrVKoSGhqJZs2aQyWQ4fvw45s6di7Vr1yIrKwsbN26ssh13d3eV78PCwrBgwYI6xUZE1NhIJBK4uLjA0dERxcXF2g6H9JCxsbFaphjL1GmT7Hnz5uHjjz9WVyy1Ih4+aVDX4T91tdOrVy/06tVL+b25uTlGjRqFLl26ICgoCJs2bcKcOXPQpk2bJ7aTnJysstcTR7uIiGpPXetziOqqTnW8lixZgilTpqgrlgqVjUSVjVg9rmxKrqohQHW1U1vu7u4YMmQIAODo0aNVXm9tba3yxcSLiIgaooLiEly9k4V9l+8i6nqatsOpd3Ua8XrxxRexdu1ayGQybNiwAUZG5Zv766+/8M477+DYsWO16sPf3x8AEBcXV+H5a9euAQD8/Pw00k5dODo6AiitD0ZERNTYXbolw7gfTiIjtwgA0Nu/Kbq1cNByVPWrTonXTz/9BAcHB6xcuRIymQy//vqrcuH49evX8e6772L79u11CjAkJAQAEBERAYVCofJEYnZ2NqKiomBmZoYuXbpopJ26iI6OBgA0b9683vogIiLSB7K8Ykz+6W9k5BbB2tQI3k0t4etoCaB0+c+WU8nIKZTjtR4N6zOzzlsGLV++HB9++CH27NmD0NBQxMXF4c0330SrVq2wbds2dOjQAREREbVu38fHB6GhoUhMTMSXX36pci4sLAy5ubkYN24cLCwsAJRu8xMTE4P4+Pg6tVNbFY3sCSGwdOlSnDhxAg4ODhg4cGCd+iAiItJnCoXArK3nkPIgHx725jg2pw9+m9oN/x3SEgDwZ3w63t12EYv3xODvmzXbGlDXSYRQTx381atXY9q0acrF6f7+/vjwww8xYsSIOrf9+FY/gYGBiI6ORmRkJPz8/HDixAnlVj+JiYnw9vaGp6dnudIVNWmnzJIlSxATEwOgtDbX+fPnERwcrCxL0b17d7z22mvK6yUSCfz8/PD000/Dzc0NMpkMJ06cwMWLF2Fubo7t27cjNDS00tealZUFGxsbyGQylcX1REREDcWXkdfx6b5YmBgZYNuUYDzlprq+WgiB6ZvP4ffzt+Fma4bd03vAxsxYS9FWT7U/v+taRl+hUIj169cLb29v5TZBrq6uIi0tra5Nq0hKShLjx48Xzs7OwtjYWHh4eIhp06aJ9PR0lesSEhIEAOHp6Vmndsr06tVLAKj065VXXlG5fvbs2aJnz57CxcVFSKVSYWZmJvz9/cXUqVNFfHx8la+TWwYREVFDty4qQfjM3SU2n7xZ6TVZ+UWixyeHhOecP8QbP/0tFAqFBiOsuep+ftdpxGvHjh147733cPXqVUilUsyYMQNNmzbF7Nmz0bp1a0RERCgXlFP1cMSLiIgag8S0XHg2MX9iGadzyZkY+fUJyBUCHz/bGi929tBghDVT3c/vOiVeBgYGMDAwwMsvv4xFixbBzc0NALBp0yaMHz8eHh4e2L9/P7y8vGrbRaPDxIuIiOgfa4/EY/GeGFiZGuHv9/rDxKjOy9PrRXU/v+sUff/+/XHmzBmEh4crky4AeOGFF7B9+3bcvn0b3bt3x+XLl+vSDREREem5S7dkeParKERcvluj+17v0RxNraTILpDj9M2MeopOc9S2uL4ix48fx9ChQ2FkZIS0tIZfFE0dOOJFREQN0VubzmLn+dsY1tYVK55vV6N7I2NT0czWDC0cLXV2o3ONjHhVpXv37jhy5AiMjXX7SQQiIiKqP8kZedh98Q4A4N89a16XK8TfEb5OVjqbdNVEvU+UtmnTBsePH6/vboiIiEhHfX88ASUKgR6+DmjlWj9b8+mLGiVe+fn5terEx8enzm0QERGR/nmQW4Qtp5IBAJN6+lRxdeVOJmTgzY1nsPZIfNUX67AaJV7NmzfH6tWrUVxcXOOOzp8/j2HDhuGzzz6r8b2k227cz0FkbCrOJ2dqOxQiItIxP/51E/nFJWjlao1uLZpUfUMlkjLy8MeFO9hx7rYao9O8GiVe/fv3x/Tp0+Hi4oJp06bh+PHjKCwsrPT6Gzdu4Ouvv0bXrl3Rvn17nD9/XrlnIjUMl27JMGjFMUwIP4UZW86pnJPl1TxBJyKihqOguATrTyQCKF3bVZc1Wn0CHGEgAa7eyUJyRp6aItS8Gj/VePr0acybNw8HDx4EABgZGaFly5ZwcnKCnZ0dCgoKkJ6ejtjYWKSlpUEIAScnJ0yfPh0zZ86EVCqtlxfSUOjTU42y/GL8a9VxJGXkwdnaFEHNbPDNuI4AgIspMkxYdxIz+vnhpS6eWo6UiIi0oUQhsO/yXfx27ha+fLE9jAzrtrR89No/cTIhAwv+1RLju3mrKUr1qO7nt1FNG+7YsSMiIiJw7do1fP/99zhw4IByD8NHNW3aFM899xxGjBiBESNG8MnGBkahEHh76zkkZeShmZ0Zdr3VAzbm//yMj8SlIi2nCPN/u4SmVlIMaOWsxWiJiEgbDA0kGNzaBYNbu6ilvf6BTjiZkIH9V+/pXOJVXWqp45WXl4dbt24hPT0dZmZmcHR0hIuLet7kxkZfRry+OnwdS/fGwsTQAL9OCUbrZuU3OJ23/SI2nUyG1MgAP73WGU972WspWiIiaggS03LR+7PDMDKQ4O/3++vUxtkareNlbm4OX19fdOnSBW3atGHS1cBdvZOFz/bFAgAWDmtVLukCAIlEgg+HPYV+gY4olCvw6rpTiLuXrelQiYhISxbvvoovI6/jfnbla8FrysvBAr6OlpArBA7HpqqtXU3SzQ2PSKcFOFvhv0Na4vmn3fH80+6VXmdkaIBVL7RHew9bZBXIMf6Hk8gu4IJ7IqKGTpZfjPCoRHy6L1atiRcAhLZyQms3G0h1dM/GqtR5qvHWrVtYvXo1rl69iuLiYnh6emLAgAEYMmQIjIxqvISs0dOXqUagdDqxOk+oPMgtwrAvo5CUkYeZ/fwwvZ+vBqIjIiJt2XIqCXN+vQh/JyvsndFDrRXnFQoBAwPdq2Bfb4vrH3XkyBEMHjwYBQUFeDR/W7t2Lby8vLBixQoMHTq0Ll2QDlEoBCQSKP8BVfcfkp2FCeYNDsTpxAy81MWjPkMkIiIdsP3sLQDAsHauat/mRxeTrpqo0zjdf/7zH+Tn52Pq1Kk4d+4cUlJScOzYMbzzzjuQyWQYPnw4Pv/8c3XFSlp2OC4VfZcdwffHE2p878CnnPHe0JZoYslyIkREDdntzHxEJ2QAAIa1dau3fnIL5bidqX+74dQp8bpw4QL69++PlStXIigoCK6urujWrRuWLFmCuLg4hISE4J133sGhQ4fUFS9p0R8X7uBGWq5aCtcVyRVqiIiIiHTN7+dvQwigk7c93GzN6qWP7WdT0CpsH+Zuu1gv7denOiVepqamaNeuXYXn7O3tsX37djg7O+OTTz6pSzekAwrlJdh/+R4AYEhQ7Z9avXI7Cy9++xc++OOyukIjIiIdsuPhNOOz7epvtMvD3gIAEHM3q976qC91SrzatGmD2NjYSs9bWlpi+PDh+Ouvv+rSDemAY3FpyC6Uw8laig4edrVuJ6ugGCfi07H5ZDKS0vV3ywciIiqvoLgEAc5WsDEzxuCn6q+0lL+zFQDgXlYhMnKL6q2f+lCnxGvq1KnYtWsXTpw4Uek1UqlU7QvrSPN2XbwDABjc2qVOCxu7NG+CHr4OkCsElh+MU1d4RESkA0yNDbH8+XY49d9+KruZqJul1Age9uYA9G/Uq06J1/Hjx+Hr64vBgwfjxx9/xOOVKfLy8vD777+jW7dudQqStKuguAQHrpROMw6twzRjmXcG+AMoferlGouqEhE1OCYaqLEV8HDUK+aOfn2O1OmdWbVqFa5evYqsrCyMHz8eXl5e+Pe//43Fixdjzpw5aN26NYQQWLlypbriJS04dq10mtHFxhTt3Gs/zVgmqJktBrRyghDAqkPX1RAhERFpW0JarkZHnwJcSmtl6duIV53qeEVFReHMmTPKrytXruC7774DUFrjSQiBtm3b4vPPP0e7du3Qrl07tG7dGiYmJmoJnjTD1dYUYzq6w8XWVG31U97q44t9l+9hz6U7SMtpCQeWmSAi0mtrj8Rj86lkvNWnBd4O9a/3/gLLRrzu6teIV50Sr65du6Jr167K74uKinDx4kVlIvb333/j0qVLOHfuHIDSZMzQ0BCBgYE4f/58nQInzWnlaoNPRgaptc2n3GzQppkNzqfIsP3MLbzes7la2yciIs0pLlFgz6W7AICuPk000mfrZjYY3bEZgprZaqQ/dVHrnj4mJibo0KEDOnTooDxWUlKCy5cvqyRjFy5cUGe3pKdm9PPDg7wiDG7NTdWJiPTZyYQMyPKL0cTCBJ29NZN4NbMzx9KRbTTSlzrV+2aKhoaGCAoKQlBQEMaPHw8A5Rbhk+7acfYWvBws0KaZjdqfTg0JcFRre0REpB0Rl0tHu/oFOsFQz7f0qW81SrySkpLU1rGtra3ObwLd2BUUl2De9ovIKyrBb1O7oY27rbZDIiIiHSOEwP6HT76HtnLSaN9FcgXi7+dACKClq37kFDVKvLy8vNQ26hEWFob58+erpS2qH+eSM5FXVAJHKymCmtnUSx8KhcD3xxPw65kU/PRaZy6yJyLSM5dvZ+G2rADmJobo1sJBo31vOpmEsN8vo1+gE757paNG+66tGiVe8+fPV1vi1atXL7W0Q/Xn0i0ZAKCtu229FcE1MJDgj4t3EHM3G7/8nYLJvXzqpR8iIqofZaNdvfyawtTYUKN9l9XyunpHf0pK1CjxWrBgQT2FQbqoLPF6yq1+RrvKjO3kgfPJmdh0Mgn/7tFcbSUriIio/r0R4oO2HrawMau/SvWVCXAunV68lZmPrIJiWJtqPoaaqv/SsqS3Lj5MvFrXc+I1tI0LrKRGuJmehxPx6fXaFxERqZfUyBAh/o5oX4d9fGvLxtwYrjamAIBYPannxcSLKpRTKMeNtFwA9T/iZW5ihOEPd7HfePJmvfZFREQNi7KCvZ5MN+pN4pWSkoKJEyfC1dUVUqkUXl5emDFjBh48eFBv7RQXF2PFihWYMGEC2rZtCxMTE0gkEmV1/idZv349OnXqBEtLS9jY2KB37974448/ahSrNl25nQUhAGdrUzS1qv8F7y908gAARFy+h/vZhfXeHxER1d2sLeewePdV3JUVaC0G5TovPRnxqvc6XuoQHx+P4OBgpKamYtiwYQgICMDJkyexYsUK7N27F1FRUWjSpOqCbTVtJzc3FzNmzAAAODk5wdnZGcnJyVX2M3v2bCxbtgzNmjXD66+/jqKiImzevBn/+te/sGrVKrz55pu1fi80JaiZDX6dEozMvCKN9NfS1Rpt3G1xPjkTf1y4jQndvDXSLxER1U5aTiG2n7sFIYBxwV5ai0PfRrwg9EBoaKgAIFauXKlyfObMmQKAmDRpUr20U1hYKHbv3i1u374thBAiLCxMABDffvttpX1ERUUJAMLHx0dkZGQojyckJAh7e3shlUpFQkJCpffLZDIBQMhksmq9poZkU/RNMX3TGXEqIV3boRARURW2nEwSnnP+EENWHtVqHCkP8sTqQ9fEkdhUrcZR3c9vnZ9qjI+PR0REBLy9vTF16lSVcwsXLoSFhQU2bNiAnJwctbdjYmKCQYMGwcWl+lvafP311wCA9957D3Z2/yw09PLywtSpU1FYWIgffvih2u01Js938sDy59uho5e9tkMhIqIqRFwprVYf2tJZq3G42ZphakgL9PRrqtU4qkvnE6/IyEgAQGhoKAwMVMO1srJCt27dkJ+fj+joaI20U914Bw4cWO7coEGDVK7RVbmFcry/4xK2nkqGQsHtnYiISFVuoRxHr6UB0Hy1en2n84lXbGwsAMDX17fC82XH4+LiNNLOk+Tm5uLWrVuwtLSEs3P5vwBq0kdWVpbKV2Gh5hacX7mThR//uoll+2M1XlNLCIGrd7Lw7dEbGu2XiIiq79i1+yiSK+Bhbw5/Jytth4N7WQXYe+kO/tSDkkQ6n3jJZKW1pGxsKi5pUHY8MzNTI+1oqg93d3fY2NgovxYvXlzruGrqkobqd1Uku1COZ1Yfx0e7r+pNTRYiosbmwNVUAED/lk71trNJTew8fxuTfzqD9ScStR1KlfTiqcYnEaJ0KqyuP3h1tVMd1ekjOTlZZRNxqVRzexhe1FDF+opYmxqjl58jDly9h9/P38I7zgEaj4GIiJ6siaUJmlpJ0TfAUduhAAACy55svKv7Tzbq/IhX2ShR2WjS47KyslSuq+926tJHVSNij7K2tlb50mTipc0RLwB4pq0rAGDn+TvKhJiIiHTH3EGBiJ7bF12aV13KSRP8H9byupmRh/yiEi1H82Q6n3j5+/sDqHxd1LVr1wAAfn5+GmnnSSwsLODm5oacnBzcuXOnXvqob3lFclxPLX2yUxsjXgDQL9ARZsaGSMrIw7nkTK3EQERET2ZgINGZvXWbWJjAUmoEIUr3bdRlOp94hYSEAAAiIiKgUChUzmVnZyMqKgpmZmbo0qWLRtqpSp8+fQAAe/fuLXduz549Ktfooqt3sqEQQFMrKZysTbUSg7mJkfIpmd/P39ZKDEREVLHYu9k698S7RCKBm60ZACZedebj44PQ0FAkJibiyy+/VDkXFhaG3NxcjBs3DhYWFgBKt/mJiYlBfHx8ndqprcmTJwMAPvroI5VtiMr6lUqlmDBhQp36qE/XU0sXtGtrmrHMM21Kpxv/uHAHJTr2D5yIqLG6n12IAcuPovPig8gtlGs7HBVudg8Trwe6nXjpxeL6r776CsHBwZg2bRoOHjyIwMBAREdHIzIyEn5+fvjoo4+U1966dQuBgYHw9PREYmJirdsps2TJEsTExAAAzp07BwAIDw/H8ePHAQDdu3fHa6+9prw+ODgYs2bNwueff46goCCMHDkSRUVF2LJlCzIyMrBq1Sp4eXmp9w1SozFPe6BvoBNyCrT7D6qHb1PYmBlDXqLAzfRcNG9qqdV4iIgIOBxb+jSjs7UpLKS6lUK42pbO0tzKzNNyJFXQQBV9tUhKShLjx48Xzs7OwtjYWHh4eIhp06aJ9HTV7WUSEhIEAOHp6Vmndsr06tVLAKj065VXXqnwvnXr1omOHTsKc3NzYWlpKXr27Cl27txZ5etszFsGPS7mTpYokpdoOwwiInpoyk+nheecP8SyfTHaDqWcc0kPxJ6Lt0ViWo5W+q/u57dECD42pkuysrJgY2MDmUymUk6CiIhIm4pLFGj/wX5kF8qx/Y1gtPOwq/qmRqS6n986v8aLNOfSLRnG/XASa4/EV32xBgkhkFekW2sJiIgam9OJD5BdKEcTCxO0aWar7XD0FhMvUjqT9ABH4+7jzxu6s+XCrgt30P2TSHy8+6q2QyEiatQiH67v6uXXVGfKSDxKXqLAnot38N2xG5CXKKq+QUuYeJGStgunVsRCaohbmfnYd/mezj2+TETUmETGlCZeITpSrf5xBhIJpm0+i0W7ruJetub2N64pJl6kdO1h4dSyrRd0QbCPA6xMjXA/uxB/Jz2o+gYiIlI7IQQ+erY1JvfyQU/fptoOp0IGBhK42JSWlLitw7W8mHiRUlJ66SO4nk3MtRzJP0yMDNA/sLSY6p6Ld7UcDRFR4ySRSNDJ2x7vDgqAjbmxtsOplLKIqg7X8mLiRQCAnEI50nOLAADu9rqTeAHAwKecAQD7Lt/l3o1ERFQpVz2oXs/EiwAAyRmlo1125sawNtWtv2Z6+jWFuUnpWq8LKRVvQE5ERPUjv6gEYb9dQmRMqs6vtVVWr2fiRbouI7cIllIjeOjYaBcAmBobIsS/dDHnnkucbiQi0qS/bqRj/Z838d6OS5Do3sOMKprpwVSjbtX7J63p1sIBFxeEIr+4RNuhVGhEBzc0sTRRbp5NRESaUVZGord/U0h0PPPSh6lGJl6kJJFIYG6im78SfQKc0CeASRcRkSYJIXA49j4AoLe/bpaReNRTbtb4emx7nVur/Cjd/JQlIiIirUtIy0VSRh5MDA0Q7NNE2+FUydbcBINau2g7jCfiGi8CALy2/hReW38KiWm52g6lUiUKgegb6Vh96Jq2QyEiahQiH452dfK2h4WUYzXqwMSLoFAIHI1Lw4GrqTAy1N35+5wCOcZ+F43PIuJw436OtsMhImrwDj+yvktfnIhPw3fHbuDqnSxth1IhJl6Ee9kFKCpRwOiRqr+6yMbcGF0fDnXvvcynG4mI6lOJQigrwOvD+q4yP/11E4t2XcWJeN3Zd/hRTLxIWbG+mZ0ZDHVw49NHDWhVVkz1npYjISJq2AwNJDgwqxcOvd0LPk0ttB1OtZVVr9fVbYOYeBFuPiyeqstPgZQJbekEiQQ4n5yJu7ICbYdDRNSgSSQSNG9qqfNlJB6l69sGMfEiZdV6XSye+jhHa1O0c7cFAERc4XQjEVF9EEJAXqLQdhi14mZX+lmmq7W8mHgRkvQo8QIenW5k4kVEVB/i7+eg3Yf7MXPLOb3bI9fV1hQApxpJhxlIJLAwMdS7xOtmeh6K5Pr5FxkRkS47HHsf2QVypOUU6tU0IwA0sy39LEvPLUJ+ke7txsKiHIQvxrSFEAI6vvepkpeDBXZP64FAFyu9+w8CEZE++GebIP15mrGMtZkRLKVGyCmU41ZmPlo4Wmo7JBVMvAhA6QJKHS7hVU5LV2tth0BE1CDlFspxMiEDABCiR/W7ykgkEnw1tj1szY3RzE73SiQx8SK9VqIQEELAyJCz5kRE6hB1PQ3FJQIe9ubwdtCfMhKP6umnuwkjP60auciYVAxcfhQf776q7VBqbFlELJ7+6AAOxqRqOxQiogbjcFzZpthNuZyjHjDxauTi7+cg5m62zj798SS5hSXIyC3i041ERGoihEDkwz9mQwL0b31Xmfj7Ofju2A3sOHtL26GUw8SrkdO3UhKPGtDKCQBw8GoqivW03gwRkS4pKlFgzNPueNrLDl2bN9F2OLV26ZYMi3ZdxcaTSdoOpRwmXo2cPideHb3s0cTCBLL8YuVCUCIiqj2pkSFm9PPDz5ODYWpsqO1waq1sUb0uVq9n4tXI6XPiZWggQb/A0lEvTjcSEVEZt4e1vO5mFaBEx2olMfFqxEoUAikZpX8N6MM+jRUZ8FRp4hVx+R4UOvaPi4hIn8jyi7H74h1kFRRrO5Q6c7SSwthQghKFwL0s3drXl4lXI3YvqwBFJQoYGUjgYmOq7XBqJdjHAZZSI9zNKsD5lExth0NEpLcOx6bijf+dwZi1f2k7lDozMJDA+eHnmq7t2cg6Xo1YdoEc/k5WkEigt3WwTI0NMbaLBwwkEjhYSrUdDhGR3jocW1pGoqefg5YjUQ83WzMkZ+Tr3FP7TLwaMX9nK+yb2VPbYdTZ3EGB2g6BiEivlSgEDj/cJqiPHm4TVJHSdV4ZSNGxBfZMvIiIiBq5c8mZeJBXDCtTI7T3tNN2OGoxuVdzvBLsCc8mulV9X2/ml1JSUjBx4kS4urpCKpXCy8sLM2bMwIMHD+q9nRMnTmDw4MGwt7eHubk5goKCsHz5cpSUlN/1fN26dZBIJJV+rVmzpsavnapWUFyCg1fvYf+Ve9oOhYhI75QVTe3p1xTGerr05HG+TlYIamYLGzNjbYeiQi9GvOLj4xEcHIzU1FQMGzYMAQEBOHnyJFasWIG9e/ciKioKTZpUXeitNu389ttvGDFiBExNTTFmzBjY29tj586dmDlzJqKiovDzzz9X2NewYcPQtm3bcsc7duxYq/egPrz8fTTuZxfio2dbo4Oe/4Xzx4U7mP3zeQQ4W6F/Sydth0NEpFciG9g0o04TeiA0NFQAECtXrlQ5PnPmTAFATJo0qV7akclkwsHBQZiYmIhTp04pj+fn54uuXbsKAGLTpk0q94SHhwsAIjw8vAavULVPAEImk9Xq/pro8GGE8Jzzh7iYklnvfdW3B7mFovncXcJzzh8i4X6OtsMhItIbqVkFwnPOH8Lr3T/E/ewCbYejNvezC8TaI9fFV5HXNdJfdT+/dX48MT4+HhEREfD29sbUqVNVzi1cuBAWFhbYsGEDcnJy1N7Ozz//jLS0NLzwwgsqI1WmpqZYtGgRAOCrr76q60vUipxCOdJyigAAHk30s4bXo2zNTZTbW7CYKhFR9TW1kuLYf0Kw6oV2DerpcFl+MT7eHYOvDl/XdigqdD7xioyMBACEhobCwEA1XCsrK3Tr1g35+fmIjo5Weztl9wwcOLBcez179oS5uTn+/PNPFBYWljt/7tw5LF++HEuWLMGPP/6IlJSUarxazUl+WLHeztwY1qa6Nf9dWwOecgYA7GXiRURUI+725hga5KrtMNTKwaI0icwukKNQXn5NtrbofOIVGxsLAPD19a3wfNnxuLg4tbfzpHuMjIzg7e0NuVyOGzdulDu/YsUKzJw5E3PnzsW4cePg5eWFyZMno6CgehV0s7KyVL4qSu7qomz/KreH+1k1BANaOkEiAc4mZeKuTLcqFRMRkWZZmxnByEACAMjILdJyNP/Q+cRLJpMBAGxsbCo8X3Y8MzNT7e3U5h5vb2+sWrUKsbGxyM3Nxe3bt7F161Z4eXlh7dq1mDhx4hPjLOPu7g4bGxvl1+LFi6t1X3WlZpcmck5W+lmxviKO1qZo71H6kEDEFY56ERFV5cT1NEwIP4nfzt3SdihqJ5FIYG9hAgBIz9GdxEsvnmp8EiFK9+eTSCQab6eie3r16oVevXopvzc3N8eoUaPQpUsXBAUFYdOmTZgzZw7atGnzxLaTk5NhbW2t/F4qVe+8+/2HiZejdcOZzweAga2c8ffNBzifLAO6ajsaIiLdtufSXUTG3oezjRmGtXXTdjhq18RSitTsQqTlqHfWqC50fsSrbFSpbPTpcVlZWSrXqbMddfUNlI5gDRkyBABw9OjRKq+3trZW+VJ34mVtZgR/JyudKyxXV8+1d8OBWT2xbPSTE1siosZOCIEDV0trH/Zv2TDLSDhY6t6Il84nXv7+/gAqX8N17do1AICfn5/a23nSPXK5HAkJCTAyMkLz5s2f2HcZR8fSX+zc3NxqXV+fJnTzxr6ZPTG5l4+2Q1GrJpZStHC00nYYREQ67/LtLNyRFcDM2BDBPg1jf8bHNSmbaszliFe1hYSEAAAiIiKgUChUzmVnZyMqKgpmZmbo0qWL2tvp06cPAGDv3r3l2jt69Cjy8vIQHBxc7dGosicmq5uoUd0UlyiqvoiIqJEq2+mjp58DTI0NtRxN/XizTwvsfLM7Rnd013YoSjqfePn4+CA0NBSJiYn48ssvVc6FhYUhNzcX48aNg4VF6ZRZcXExYmJiEB8fX6d2AGDkyJFwcHDA5s2bcfr0aeXxgoICvPfeewCAKVOmqLR17Nixcq9BCIGlS5fixIkTcHBwqLA8BalPQXEJpm48gw4f7kdmnu4MLxMR6ZJ/phmdtRxJ/WnhaIXWzWxga26i7VCUJKJshbgOe3yrn8DAQERHRyMyMhJ+fn44ceKEcqufxMREeHt7w9PTE4mJibVup8yOHTswcuRImJqa4vnnn4e9vT1+//13xMbGYuTIkdi6davK4nqJRAI/Pz88/fTTcHNzg0wmw4kTJ3Dx4kWYm5tj+/btCA0NrfS1ZmVlwcbGBjKZTGVxvToJIdBl8UHYmBnjf691QVOrhrXAHgAGLj+KmLvZWDoiCKOf1p2/dIiIdMGtzHx0W3IIBhLg9Hv9lU//Ue1V9/Nb50e8gNLRqtOnT2P8+PGIjo7GsmXLEB8fj2nTpuHPP/+s1j6NtW1n+PDhOHLkCHr27Ilff/0Vq1atgrGxMT7//HNs3ry53FOQs2fPhrOzMw4dOoQVK1Zgw4YNKCoqwtSpU3Hx4sUnJl2aIssvxr2sQsTdy4GVqd4/2FqhoUEuAIA/Lt7RciRERLpHlleMLs3t0dm7SYNOuu7I8rH2SDx+OJ6g7VCU9GLEqzHRxIjXtXvZ6P/FUdiYGeN8mPYTwfpw434O+iw7AiMDCU79tx/sGvB/WIiIaqtEIWBoULdyTLrsXHImhn8ZBVcbU5yY27de+2pQI16kXmXFUxviFGOZ5k0t0dLFGnKFYDFVIqJKNOSkC/jnqca03CLoyjgTE69GSFk8tQEnXgAwpGy68QKnG4mofslLFEjLKcTtzHyd+YCvTHJGnk4VFK1PTR7W8SqSK5BTKNdyNKUa5gIfeqLU7NJ9DBvyiBcADGntgk/3xeJEfDoe5BZxupGI1CK3UI5tZ1IQceUeUh7kIyO3CLL8YuX5Tl722Dr5n60zhBB13l1FnT7dF4udF25jwb9a4ZVgL22HU6/MTYxgbmKIvKISZOQWwcrUWNshMfFqjBrLiJeXgwWebecGXydL6NB/8yqVWyhHXlFJg0+IiRqCRbuuolBevlagkYEEPo7/lCUqLlFgxNcnMKCVMyZ284aZiXbrZRWXKBAZmwohgKfc6mcdsa5pYmmCvIx8pOUU6cRuLUy8GiE7CxMEOFvBQwd+AevbF2PaajuECgkhcC01B2eTHuBsUibOJmUiLjUbJoYGiF00SHndezsuokiuQN9AJ/TwdYC5Cf/JEmlSQXEJ1p9IxIUUGb4c2x4AYCE1wms9vGFrZoKgZjZoYmkCO3MT2JgZQyGAvKJ/prR2XbiDCykyXEiRYf2JREzv54vRHd1hbKidlT4nEzKQXSCHg6UJ2rrbaSUGTWtiIUVyRj7SdWR6lf8Vb4Te6N0Cb/Ruoe0wGq3j19LwaUQszidnljtnbaY6DB53LwcnEzKw9XQKTIwM0LV5Ewxu7Yzh7dwgNWqYlaaJdIFCIfD7+dv4dF8sbmXmAwBeik9HV5/SskPvDAio9F4To3+WNTzTxhUCAssi4pDyIB//3X4J3x9LwGej26C9h+YTn7Jq9X0CHBv8wvoyyv0ac3WjoDbLSegYTZSTaGyyC4px8Goq7C1M0NOvqbbDwdtbz+PXMymQGhmgnYct2nnYoa27Ldq528LBUgqDR/5jeDIhA3su3cHBq6lIyshTHnezNVP+5UxE6hV7Nxvv/HIeF1JkAABna1PMHuCPZ9u51TpZKZSXYGN0ElYfuo703CJIjQyw6oV2CG2luarxCoVA8JJDuJtVgG/HdUT/lk4a61ubYu9mo7hEAXd7c9iY1d8ar+p+fnPEixq8n/5Kwid7Y9C9hYNWEq/0nEKYmRgqpwln9POFtZkR3ujdosr1XJ287dHJ2x7zh7bE9dQcRFy5h/UnEnErMx+nEjKYeBGpkRACP0UnYdEfV1AoV8BSaoQpvX3UsjZLamSICd28MbJDM0zbdBaRsfex5kg8+gU6qfyxVZ/OJj/A3awCWEqN0MO3YW6KXRF/Zytth6CCiVcjU1Bcgi6LD6KppRQ7pnaDhbTh/woMae2CT/bG4ER8GlKzC+BoZaqxvuPuZePV9afQysUGX41tDwMDCdztzRH2r1Y1akcikcDXyQq+TlZ4tbs3/hedhP6B//y1ej+7EJl5RfB10q3/wBDpk7yiEqw9Eo9CuQK9/Zvi05Ft1P6wi5WpMb4d1xErDl7DK8FeGku6AGD3xdKahv0CHRvsptj6oOF/6pKK0g/oYuQVlcBcy0/XaIpHE3O0dbfFueRM7Dx/B69299ZIv4djU/HWxrPILpRDAgnScgrhaF33pM/U2FDlNQghMHfbRRy9dh+zQ/3wavfmjWbtBpE6WUiNsPKFdjhz8wEmdvOut6TIyNAAb4f6qxzbf+Ue+gY41msi9lafFvB3toJPU8t660MXJaXnYfelO7CUGuGlLp7aDocFVBub+w+f6mhqKdWpujL17bn2bgCAHWdv1XtfQgisi0rAxHWnkF0oRycve+yY2k0tSVdFCooVKFEoUCRX4OPdMRiz9k8kpuXWS19EDc2Os7fw27l//rvQ3sMOr/VortGRqK2nk/H6htNYfvBavfZja26C0R3d0cGzcTzNWCYpIw9L9sTgxz9vajsUAEy8Gp3UrIa/XVBFhrR2gZGBBBdvyXA9Nbte+1q6LxYLdl6BQgAjOzTDj691qtdNaM1MDPHD+KfxyYjWsJQa4fTNBxi88hh2c4NwokoJIbDq4DXM2HIO7/x8ATF3s7QWi8HDP4JXHryGiMvc4kzdmiifatSNchJMvBqZshGvhl489XFNLKXo9XBh/fZ6HPXaGJ2Erw/HAwDmDAzApyODNFL2QSKRYMzTHtg7owe6NLdHXlEJ3vjfGSyLiIVCwQeXiR5VXKLAnF8vYNn+OADA+G5e8HPU3vrIkR2aYfzDCvKztp7H9dQctbYvhMDkH//Gd8duIFdHts3RpLLEKyO3CCU68N9DJl6NzP2sxrFdUEWGtyudbrz1IL/e+nC3N4OVqRFm9ffDlN4+Gp/ObWZnjp9e7YzXHq4B23bmFrIKiqu4i6jxyC4oxsR1p7D1dAoMJMCHw1ph3uBAjU4tVuS/QwLR2dseOYVy/HvDabX+uz2fIsPey3fxxf64Rrn+0968NPFSCCAzT/u1vLi4vpH5Z8RLc0/26Yr+LZ1w7D8hcLc3r7c+evg2xb4ZPeFio73318jQAO8NbYlAF2sEuFjB1px7VBIBgCyvGOPCT+J8cibMjA2x+sV26BuoG7WsjA0N8OXY9vjXquO4kZaLmZvP4dtxHdWSEJYtO+gT6NQon2Y0MjSAnbkxHuQVIz23CE0stTvwwBGvRqaplenD7YLMtB2KxpkaG9ZL0pWRW4T4+/9MDbjamunEgwsjOjRDK1cb5fd7L93FxYcFIYkao82nknA+ORO25sbYMqmLziRdZRwspVj7cgeYGBngYEwqdl64Xec2hRDYdaE08Rr8lOaKteqasmQrTQe2DeKIVyMzq78fZvX303YYWpeeUwgrU2OYGNXtb49CeQkm/XgasXez8e24jujcvImaIlSv04kZeGvTGZgYGuDbcR0R3KLxFE8kKvN6j+bIyC3Cs+3dEOCsmzuDBDWzxacjg2AgkWBokEud27uQIsOtzHyYGRuit7+jGiLUT00sTHAdQHoOpxqJNG7utgvYejoFX77YHgPr+Bfg6kPXcSrxAaxMjZQLOHWRv7MVnvayx4n4dIwPP4Xlz7fF4NZ1/486NQzZBcXIzCuGiZEBpEYGsJAaaW0TZ3W7n10IG7PSP7IMDCSYOzhQ2yFVaVhbN7W1tftS2TSjY52r7+uz+f9qCSEAzyb1t9Skuph4UaNjbWaMEoXA9rMpdUq8Lt2S4auHTzB+MiIILbT4VFRVrEyNET7haczccg67L97F1I1n8MGwp/CyDhQTrI0ShUB0Qjqu3snGjfs5yC2UI6+oBPnFJcgvKoFnEwssG91Gef2RuPtwtzODt4OFTkwDa9vO87ex5VQy7sjycS+rEDmPPem24vm2yg//66k5+PnvZAQ6WyPQxRp+TpZ68x7elRVgzDd/ItDZGqtfbAcjPUwmZXnFuJmRi6BmtjW+VwihXN81pJH/ofXosgttY+LViKTlFKLPZ4fhbGOKvdN7av0pHm15tp0b1h65gciY+8jMK6rV4vPiEgX+88sFlCgEBrd21ovRI6mRIVa90B625pewMToJ7++4hJwCOab09tF2aFXKKijG7cx85fSQBMBr608jr6ikwusNHksM5vxyAXezCmBvYYL2Hnbo4GmHrj5N0KaZjd4kEbWRX1SCiCt3cSgmFRO6eaOtuy2A0vfn+PU0lWtNjQ1QXCJQohAqC7BPJ2Zg7ZEbyu/dbM0w8ClnDG7tjHbudjr735HU7AK8+O1fuJmeB4UQyMgtqrcixvXl0i0ZXvnhJIwNDXDg7V6wrOEWb9mFcgQ4WyO7QI6QRjzNqGuYeDUi97MLkVUgh7Fhkc7+x1ITAh7+5X71ThZ2XbyDsZ1rPurzzdEbuHInC7bmxlj4zFP1EGX9MDSQ4KPhT6GJhQlWHbqOT/bGwN/ZEn0CdGuRMQDkFMqx99Jd7Ll4B8eupcHLwRwRM3sBAAwMJAgJcESxXAE/JytYmxnBzMQI5saGMDcxVHlqSQgBzybmyMgrQkZuEQ5cvYcDV+8BKC3/Ma6LF17v2Vwrr7E+lCgE/rqRjm1nbmHvpTvIfZic+jpaKhOvbi2aYNmoNnCxMYXzw6+yTdyLSxR49L8OLRwt8XIXT1y9k4XLt7NwKzMf3x9PwPfHE+BkLcUXY9oi2Ee31gym5xRi7LfRuJGWCzdbM2x8rYveJV1A6XtvITVCUkYevtgfh/eHtqzR/dYP94UskivqvJ5V311PzcGBq/dgb1FavV+bmHg1IqnZjbNqfUWea+eGj+5kYevplBonXtdTs7HiQOnWHmH/aql376dEIsHbof6QGhngZnoeevvp1l/CaTmFCI9KwI9/3kRWwT9TYHKFgCyvGDbmxgCAL19sX632JBIJtkzqikJ5CS7fzsKZmw9wKjEDx66lITkjH7cyVeu6FRSX6OUj9/lFJfjpr5sIj0rAbVmB8ri7vRn+FeSqsrDa1twEIzo0q7Cdx9d2dfSyR0cvewCl782RuPvYc/EODlxNRV5hCZ5y+2cKRxc+4DPzivDS9ydxLTUHTtZSbHy9c72WkKlPpsaG+GBYK4wPP4V1JxIxon0ztHSt+UMB2v6Z6IJr97KxZE8MOnjaMfEizbnPxEvpufZuWLovBueTM3H5tqxG8/8uNmZ4sbMHUh7kYbgaF8Fq2pt9fCGEUE61yUsUMDSQaHXq7cc/E7Fo11UUyhUAAG8HCwxr64rBrV3g61i3tUVSI0O097BT7sWXVyTHwaupCHD+Z23e3zcf4LX1pzCuqxfGdfXUer2fmigRAqsOXUNWgRzWpkYYEuSK59q7oaOnndp+pqbGhhjQyhkDWjmjoLgESRl5sDYtTYSFEBjzzZ9wsTHFrP5+WlnzmFVQjHE/nMTVO1lwsJRi4+td4NnEQuNxqFNvf0cMae2CXRfv4L87LuLXycHVmrG4di8bRoYG8HbQ79evLmX/ltNZToI0KTW78Vatf1wTSykGtHLGHxfuYMupZHwwrPqJl4XUCAueaYUShdD79UGPJl0ztpyDk7Up3hsSqLXX5e1giUK5Am3cbTGllw9CWzrV27S4uYkR/tXGVeXYr2dS8CCvGCsOXsOaI/EY3dEdb/VpoZPTVLK8Yvz8dzJe7e4NiUQCS6kR3hngDxMjAwxr61bvo3amxobwc/onubp6JxtnkzJxFkDE5Xt4vWdzvNWnhXIKUxPi7mYj7l427C1MsPH1zvBpaqmxvuvT+0Nb4kjcfZxNysSeS3cxpBplJpZFxGHv5bt4f2hLvPpwJ4vGTLlfI8tJkCaVjXg1xqr1FXm1uzee9rJXbiVUlSK5AsaG/4wINaStN/66kYE/LvyzqbYmki8hBH47dxt5RSV4sbMHgNK1R9veCEY7d1utJH8fPNMKwT5N8M3RG7iQIsOPf93Er2dS8O+ezfF6j+awqOHi5vpQXKLA//66ieUHryEzrxi+TlbKfUhf7uqltbhaulpj34ye+HRfDA5cTcXXh+Px+7nbCPtXS/Rv6aSRn2dHL3tsmNgZFlLVpFDfOduY4tXu3lhx8BpWHIzDoKecn/gHSWZeEQ7GlK5jDPbRzdqCmuZgUTrgkF0oR6G8RCN76FaGE7+NCNd4qWrnYYdXgr1gY2ZcresX77mKF779C5dvN7zq7919HbD4udYAgO+PJ2DRrqsQov42k427l40x3/yFGVvOYdGuK7gjK11nJZFI0N5DfVNjNWVkaIChQa74bWo3bHy9M9q62yKvqATLD1zDmG/+rNf3pCpCCBy4cg8DvjiKBTuvIDOvGH5OlrDQodpM/s5W+O6Vp/HtuI5wszXDrcx8/PvHv/H6htN4kFs/Iw3FJQqkPMhTft/J216nSgeoy8Tu3rAzN0ZrN1vkFj15o+udF+6guEQg0KX0QSICrM2MYPQwWc2op9/F6tL+n2+kMc1szRDoYg0PPV1oqk3JGXn4319JKCpR6MRQdX14oZMHhADmbb+I748nQILSjXvVmQQJIbDuRCIW74lBkVwBU2MDTA1pAXsL3So+K5FIEOzjgO1vNMHui3fxyd4YjO3sqbWE8HZmPt7fcQkHY1IBlFbhnhXqhzEd3XWyNlX/lk7o3sIBqyOv4ZujN5CckV8vxTtLFAKztp7Hn/Fp+PHVzg06ybAxM8axOX2qVVJi25kUAMCI9vq7BlXdJBIJmlia4F5WIdJziuBio71t85h4NSJzBwdirraD0EG//J2CH/9MxOLngip9YuiL/XEoKlEg2KcJevjq1qPz6vRiZw8ICPx3+yV8dzwBEgkwb7B6kq+0nEK88/N5RMbeBwCE+DfFh8OfQjM73f1DQCKRYEiQC/q3dMKjMzt7L93Bn/HpmD3AH1am1RsxrS0hBF5dfxpX72TB2FCCV7s3x9QQn3rvt67MTAzxzoAADGvrBgMJlGvOFAoBhRB1ThiFEPjv9ovYef42jA0luJtV0KATLwDVSrpu3M/B2aRMGBpI8Exb1yqvb0yaWEhxL6tQ6/s16t6fSkQaFhmTivMpMmw+lVTh+Zi7Wdh+7hYAYM7AAL1fUF+VsZ09sWh4aW2y9X/eRPz93Dq3mVckx9CVxxEZex8mRgZY+Ewr/DD+aZ1Ouh5lYmSgTBQKiksQ9vtlrP/zJvp9fgR7L92p4u66kUgkmDsoAE972WH3tB54d1CAziddj/JzslJ5wvHrI/EY881f5cp41IQQAgt3XsHmU8kwkAArnm/XqAqEXk/NxuI9V6FQlJ/63n629L9VPX0duJ73MZ+MCMKuad3x9MPyKNrCxIsavRc6lS7s3n7mFvIrqIT+6d5YCAEMbu2MNg8LUDZ0L3XxxEfPPoXvxnVEC8e6PxlmbmKE5zu5w9/JCr+/2Q2vBHvpbQJramyIZaPawquJOe5lFWLyT2cwdeMZta0bkZco8GXkdWw9law81tOvKbZO6gpfPV8wnlVQjO+O3cDfNx9g2Orj+Pvmg1q18+m+WKw7kQgAWDqyjV7sHKEuBcUleO6rE1h75AYirtwtd/7A1dLp6OfaV1ynrTFr3cwGrVxttP6QjERoc7UolZOVlQUbGxvIZDJYW6tv2Pxmei7+teo4PJtYYOdb3dXWbkOgUAj0/uwwkjLy8OnIIIx6pLjeqcQMjFrzJwwNJNg/syeaN5DH02vjfnYhHCxNqp0w5RbKkV0gh7NN6V/d8hIF5I9tR6PPCopLsPrQdXx9JB4lCgEHSymWPNca/VrWfheAhLRczNp6DmeTMmFuYojDs3vrZCmLukjOyMOkH//GlTtZMDEywKcjg2q0KfTqQ9fwWUQcAODDYa20+iSntnweEYuVh64j0MUau97qrvKEY0FxCQ5cvYd+gU4N5t+avqju5zdHvBqJ1IfbBWUVFGs7FJ1jYCDB851Kk63vjyfgt3O3lGsANkaXTj+O7ujeqJOu+Ps5GLLyGD7eXb2nHZMz8jDi6xOYsO4U8h4+gWVkaNCgPghMjQ0xe4A/tr8RjBaOlkjLKcRrG07j0q2aP/UqhMCGPxMxaMVRnE3KhJXUCIuGP9Ugn0B2tzfHz5O7ol+gE4rkCkzffA7LD8RV6/eqSK5QPmDw38GBjTLpAkqfcLSUGuHqnSzM/vk8Zm05h3E/nIS8RAFTY0MMDXJtUP/W1OXqnSx8fTgevz1cOqItepN4paSkYOLEiXB1dYVUKoWXlxdmzJiBBw9qNlRdm3ZOnDiBwYMHw97eHubm5ggKCsLy5ctRUlLxBr0AsH79enTq1AmWlpawsbFB79698ccff9QoVnVKzXpYSkKPKnFr0sgOzWBkIEHM3WxM33wOiWml65o+HRmExc+1xox+vlqOULvO3HyA1OxCfHssAR9VUWoi+kY6hn0ZhZi72UjLKUTKg9qv5dEHQc1s8cdb3fHvns0xpqO7yhY61XE/uxAT1p3C/N8uo6C49AGOvTN74rn2zfR2OrYqFlIjrH25A/79cI/M5QeuYeaWc1UmXyZGBvjx1c5YNqpNg9pfs6ZszU0woZsXAGDb2VvYdvYWjsbdR0Zew3ziWl0u3pLhk70xynVw2qIXTzXGx8cjODgYqampGDZsGAICAnDy5EmsWLECe/fuRVRUFJo0qbpIXG3a+e233zBixAiYmppizJgxsLe3x86dOzFz5kxERUXh559/LtfP7NmzsWzZMjRr1gyvv/46ioqKsHnzZvzrX//CqlWr8Oabb6rtvamu+w+r1jtaM/GqiKOVKZaNboOIK/eQkVMEp4fTO0aGBso1YI3ZqI7uKJQr8N6O0qcdi0sUCPtXq3JFHP+4cBszt5xDcYlAazcbfDOug1Yf29YUU2NDzBscqJI4pGYX4OfTKZjUs3mlT/BlFxRjyMpjSM0uhNTIAHMGBmB8sFej2MTe0ECCeYMD0dzBAu/tuIT2T9ja6MrtLOUTx5ZSo0r3mWxMpvT2QVGJAvKS0mluB0sTje4SoI8cdKV6vdADoaGhAoBYuXKlyvGZM2cKAGLSpEn10o5MJhMODg7CxMREnDp1Snk8Pz9fdO3aVQAQmzZtUrknKipKABA+Pj4iIyNDeTwhIUHY29sLqVQqEhISKo1RJpMJAEImk1XrNVXXJ3uuCs85f4j5Oy6qtV1qXP73103h9e4fwnPOH2LOL+eFvEShPBd+/Iby3OQfT4u8QrkWI9UuhUIhXv4+WnjO+UMM//K4uJmWW+m1S/deFaGfHxExd7I0GKFuSUqv/P3ZGH1TeM75Q6w+dE2DEVFDdC7pgfCc84fo+vGBemm/up/fOj/VGB8fj4iICHh7e2Pq1Kkq5xYuXAgLCwts2LABOTk5am/n559/RlpaGl544QV07NhRedzU1BSLFi0CAHz11VcqbX399dcAgPfeew92dnbK415eXpg6dSoKCwvxww8/1OAdUA/ldkENbKEuadaLnT3w2cg2MJAAm08lY/bP5yEvUWBdVAIW7LwCIYBxXT2x+sX29VIwU19IJBKM7NAMVqZGOJuUiX6fH0H7D/crvxb8fll57Yx+fvjtzW7wd9bvJxbrwv2Ros6ZeUWYtuksUrMLsPlkEuZuuwigdJRC8FkwqoOy/RrTcrX7u6TziVdkZCQAIDQ0FAYGquFaWVmhW7duyM/PR3R0tNrbKbtn4MCB5drr2bMnzM3N8eeff6KwsLBa9wwaNEjlGk1SbhfENV5URyM6NMOK59vB0ECCG2m5KJAr0K+lE5ytTfF2fz8sfKZVg9rHsraeaeOKPdN7oJOXPYpKFMjILVJ+5RT+s+WLcQN76KCu/vPLBfx+/jb+teo43n2YdE3o5oX3h2pv83ZqGJo83K+xSK5Q+TeoaTo/IRwbGwsA8PWteHGzr68vIiIiEBcXh759+6q1nSfdY2RkBG9vb1y+fBk3btxAYGAgcnNzcevWLVhaWsLZ2bnCPgAgLi6u0jjLZGVlqXwvlUohldY+afJsYo6WLtZoZt/w19tQ/ftXG1fYmhsjyM0WllIjWEqNsG9mz2rve9lYNLMzx5ZJXZCYnofiEoXyuLUeFUDVtHmDA3H5dpaywOr4YC/MH9qSSRfVmZmJIZ5ys4aFiRHyi0u0VohY5xMvmaz00Wwbm4qfFCo7npmZqfZ2anqPumIFAHd3d5Xvw8LCsGDBgirvq8wHw56q9b1EFenh21TleyZdFZNIJPB2sNB2GHrDy8ECv04JxvzfLuEpNxu81acFky5Smz/e6qHtEHQ/8apK2TxtXf9h1qad2vZdneuTk5NVCrDVZbSLiEifONuY4ptxHau+kEgP6XziVTZKVDaa9LiyKbnKRpnq0k5N76nq+qpGxB5lbW2t1sr1REREpH06v7je398fQOXroq5duwYA8PPzU3s7T7pHLpcjISEBRkZGaN68tJCfhYUF3NzckJOTgzt3ym+cW91YiYiIqGHS+cQrJCQEABAREQGFQqFyLjs7G1FRUTAzM0OXLl3U3k6fPn0AAHv37i3X3tGjR5GXl4fg4GCVacAn3bNnzx6Va4iIiKhx0fnEy8fHB6GhoUhMTMSXX36pci4sLAy5ubkYN24cLCxKF68WFxcjJiYG8fHxdWoHAEaOHAkHBwds3rwZp0+fVh4vKCjAe++9BwCYMmWKSluTJ08GAHz00Ucq2xCV9SuVSjFhwoTavh1ERESkxyRCDyrSPb7VT2BgIKKjoxEZGQk/Pz+cOHFCudVPYmIivL294enpicTExFq3U2bHjh0YOXIkTE1N8fzzz8Pe3h6///47YmNjMXLkSGzdurXcYvm3334bn3/+OZo1a4aRI0eiqKgIW7ZsQXp6epVbBlV3d3MiIiLSHdX+/K6Xuvn1ICkpSYwfP144OzsLY2Nj4eHhIaZNmybS09NVrktISBAAhKenZ53aedTx48fFoEGDhK2trTA1NRVPPfWU+Pzzz4VcXvmWKOvWrRMdO3YU5ubmwtLSUvTs2VPs3LmzytdZX1sGERERUf2p7ue3Xox4NSYc8SIiItI/1f381vk1XkREREQNBRMvIiIiIg1h4kVERESkIUy8GonCwkIsWLAAhYWF2g5F5/G9qhm+X9XH96r6+F5VH9+r6tOF94qL63VMfS2u56L96uN7VTN8v6qP71X18b2qPr5X1Vef7xUX1xMRERHpGCZeRERERBpipO0ASFXZzG9WVpZa2y1rT93tNkR8r2qG71f18b2qPr5X1cf3qvrq870qa7OqFVxc46VjUlJS4O7uru0wiIiIqBaSk5PRrFmzSs8z8dIxCoUCt2/fhpWVVbk9IImIiEg3CSGQnZ0NV1dXGBhUvpKLiRcRERGRhnBxPREREZGGMPEiIiIi0hAmXkREREQawsSrgUtJScHEiRPh6uoKqVQKLy8vzJgxAw8ePNB2aDrll19+wVtvvYUePXrA2toaEokEL730krbD0knp6en47rvv8Oyzz6JFixYwMzODjY0Nunfvju+//x4KhULbIeqUOXPmoG/fvnB3d4eZmRns7e3Rrl07LFy4EOnp6doOT6f9+OOPkEgkkEgk+O6777Qdjk7x8vJSvjePfzk7O2s7PJ107NgxjBgxAi4uLpBKpXBxcUFoaCh2796t0ThYx6sBi4+PR3BwMFJTUzFs2DAEBATg5MmTWLFiBfbu3YuoqCg0adJE22HqhEWLFuH8+fOwtLREs2bNEBMTo+2QdNbPP/+MKVOmwNnZGX369IGHhwfu3buHbdu24bXXXsPu3bvxyy+/8Knch7744gu0b98e/fv3h6OjI3Jzc/HXX39hwYIF+Oabb/Dnn3/Cw8ND22HqnOTkZLz11luwtLRETk6OtsPRSTY2NpgxY0a545aWlpoPRsctWrQI77//PhwcHDB06FC4uLggLS0NZ8+exeHDhzF48GDNBSOowQoNDRUAxMqVK1WOz5w5UwAQkyZN0lJkuufQoUMiLi5OKBQKERkZKQCIsWPHajssnXTw4EGxY8cOIZfLVY7fuXNHuLu7CwDi559/1lJ0uic/P7/C4/PmzRMAxOTJkzUcke5TKBSib9++onnz5mL27NkCgPj222+1HZZO8fT0FJ6entoOQy9s2bJFABD9+vUTWVlZ5c4XFRVpNB5ONTZQ8fHxiIiIgLe3N6ZOnapybuHChbCwsMCGDRv4l+RDISEh8PX15ShNNfTp0wfDhg2DoaGhynFnZ2dMnjwZAHD48GEtRKabTE1NKzw+evRoAKX/VknVypUrcejQIYSHh8PCwkLb4ZAeUygUmDNnDszMzLBx40ZYWVmVu8bY2FijMXGqsYGKjIwEAISGhpYr5GZlZYVu3bohIiIC0dHR6Nu3rzZCpAbIxMQEgOb/Q6aPdu7cCQAICgrSciS65erVq3j33Xcxffp09OzZE4cOHdJ2SDqrsLAQP/30E5KSkmBhYYGgoCD07Nmz3B9FjdmJEyeQmJiIkSNHws7ODrt27cKlS5dgamqKTp06oWvXrhqPiYlXAxUbGwsA8PX1rfC8r68vIiIiEBcXx8SL1EIul2P9+vUAgIEDB2o5Gt3z2WefIScnBzKZDKdPn8bx48fRrl07zJ07V9uh6Qy5XI6XX34ZHh4e+Pjjj7Udjs67e/cuXn75ZZVj3t7eCA8PR69evbQUlW45deoUgNIR+Q4dOuDChQsq53v27IlffvkFTZs21VhMnGpsoGQyGYDSxZcVKTuemZmpqZCogXv33Xdx6dIlDBo0CAMGDNB2ODrns88+w8KFC7F8+XIcP34cgwYNwt69e/mAyyM++OADnD17FuvWrYOZmZm2w9FpEyZMwMGDB3H37l3k5ubi4sWLmDRpEhITEzFo0CCcP39e2yHqhNTUVADA119/jfz8fBw6dAjZ2dm4dOkSBgwYgKNHj2LUqFEajYmJVyMlHu4UxTVNpA7Lly/HsmXL4O/vjw0bNmg7HJ109+5dCCFw9+5dbNu2DfHx8Wjbti3OnDmj7dB0wsmTJ/Hxxx/j7bff1sr0j74JCwtDnz594OTkBHNzczz11FNYs2YNZs2ahfz8fCxYsEDbIeqEkpISAKWfeb/++itCQkJgaWmJVq1aYfv27WjWrBmOHDmCP//8U2MxMfFqoMpGtMpGvh6XlZWlch1Rba1YsQIzZ85EYGAgDh8+DAcHB22HpNOcnJzw7LPPYv/+/UhPT8e4ceO0HZLWlU0x+vn54cMPP9R2OHqt7AGXo0ePajkS3WBnZwcAaN68OVq3bq1yzszMTDk6f/LkSY3FxMSrgfL39wcAxMXFVXj+2rVrAAA/Pz+NxUQNz2effYYZM2bgqaeewuHDh1m4sQY8PDzQsmVLXL58GWlpadoOR6tycnIQFxeHq1evwtTUVKUY6MKFCwEAr7/+OiQSSYV1q+gfjo6OAIDc3FwtR6Ibyj4LbW1tKzxflpjl5+drKiQurm+oQkJCAAARERFQKBQqTzZmZ2cjKioKZmZm6NKli7ZCJD23ePFizJs3D23btsX+/fs50lULt2/fBoBG/xSaVCrFq6++WuG5M2fO4OzZs+jevTv8/f05DVmF6OhoAKUjPFS6eN7IyAjXr19HUVGR8snrMpcuXQJQuhOAxmi0ahhpFAuo1g4LqFbtgw8+EABEhw4dxP/bu2OQNtMAjOPPRwzYoRVqBqcaESyKYBRFTNEgqNAORSdb6uAmdAgKinSwQUToUDoYkEImF0EUjOBQBbEqGNJClVroIAiNgzqotKDYQd8b7s6j9crdkvdN2/8PHEwcHgKBv+8XPw8PD13PyVkfP340e3t7Vx4/Pz+/vIFqOBx2sOznEYvFuIHqdz58+PCv77tMJmPKysqMJDM6OupgWW569OiRkWRisdg3jy8uLhrP80xBQYE5Pj62tocTr1/Y+Pi4wuGwotGolpaWVF5ernQ6reXlZZWVlWl0dNT1xJyRTCaVTCYl/fkhaElKpVLq7u6WJAUCAT1//tzRutwyMTGhp0+fyufzqbGxUWNjY1d+JhgMXr52v7NXr15pYGBATU1NKi0tVWFhoQ4ODrSysqKdnR0VFRUpkUi4nomfzPT0tJ49e6bm5maVlJTo+vXr2tnZ0fz8vM7OznTv3j319/e7npkzXrx4oXQ6reHhYS0vL6uurk6fPn3S7OysfD6fEonEDy9FZoW1xIMTmUzGdHd3m6KiIuP3+82tW7dMNBrllOI7f/9W/aMv/jXHP/7rtZJkIpGI65k5YWtryzx+/NhUVVWZwsJC4/P5zI0bN0xtba2JxWK8D/8HTryuev36tXnw4IG5ffu2KSgoMHl5eSYQCJiWlhYzMTFhLi4uXE/MOYeHh6avr88Eg0Hj9/vNzZs3zf37900qlbK+xTPmr/sKAAAAIKv4q0YAAABLCC8AAABLCC8AAABLCC8AAABLCC8AAABLCC8AAABLCC8AAABLCC8AAABLCC8AAABLCC8AAABLCC8AAABLCC8AAABLCC8AyJL29nZ5nqd4PH7luaGhIXmep56eHgfLALjiGWOM6xEA8Cs6OjpSdXW1Dg4OlEqlVF1dLUlaWlpSW1ubKioq9ObNG127ds3xUgC2EF4AkEXr6+uKRCIqKSnRu3fvdHp6qqqqKn358kVv375VRUWF64kALOJSIwBkUTgc1sjIiLa3t9XT06Ouri7t7+8rHo8TXcBviBMvAMgyY4zu3r2rhYUFSdLDhw81OTnpeBUAFzjxAoAs8zxPHR0dl9/39va6GwPAKU68ACDLtre3VVNTI7/fr8+fP6uyslLpdFr5+fmupwGwjBMvAMiir1+/qrOzUycnJ5qamtKTJ0/0/v179fX1uZ4GwAHCCwCyqL+/XxsbGxocHFRra6uGh4d1584dvXz5UjMzM67nAbCMS40AkCXJZFIdHR1qaGjQ6uqq8vLyJEm7u7sKhUI6Pz/X5uamgsGg26EArCG8ACALMpmMQqGQjDHa3NxUcXHxN8/Pzc2pvb1d9fX1Wltbk9/vd7QUgE2EFwAAgCV8xgsAAMASwgsAAMASwgsAAMASwgsAAMASwgsAAMASwgsAAMASwgsAAMASwgsAAMASwgsAAMASwgsAAMASwgsAAMASwgsAAMASwgsAAMCSPwAYrsDd8EhMAwAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def Lnj(x,j,xdata):\n", " \"\"\"Lagrange basis function.\"\"\"\n", " ret = 1.\n", " #for k in range(0, len(xdata)):\n", " # if (k != j):\n", " # ret *= (x - xdata[k]) / (xdata[j] - xdata[k])\n", " ret *= np.prod([(x - xdata[k]) / (xdata[j] - xdata[k]) for k in range(len(xdata)) if k != j])\n", " return ret\n", "\n", "\n", "def f_poly_int(x, xdata, fdata):\n", " \"\"\"Returns the polynomial interpolation of a function at point x.\n", " xdata and ydata are the data points used in interpolation.\"\"\"\n", " ret = 0.\n", " n = len(xdata) - 1\n", " for j in range(0, n+1):\n", " ret += fdata[j] * Lnj(x,j,xdata)\n", " return ret\n", "\n", "xpoly = np.linspace(0,6,100)\n", "fpoly = [f_poly_int(xin,xdat,fdat) for xin in xpoly]\n", "\n", "plt.title(\"Polynomial interpolation\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"f(x)\")\n", "plt.plot(xdat,fdat,'or',label='data')\n", "plt.plot(xpoly,fpoly,label='polynomial interpolation')\n", "plt.plot(xref,fref,'--',label='true function')\n", "plt.legend()\n", "plt.show()\n", "\n", "plt.title(\"Polynomial interpolation error\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"${|p(x) - sin(x)|}$\")\n", "plt.plot(xref,abs(fref-fpoly),'--',label='error')\n", "n = len(xdat) - 1\n", "plt.axhline(y = (xdat[1]-xdat[0])**n/4./(n+1.), color = 'r', linestyle = '-',label='max. error')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Newton interpolating polynomial\n", "\n", "In Newton interpolating polynomial, the function $f(x)$ is approximated by a polynomial.\n", "If there are $n+1$ data points $(x_0,y_0)$,...,$(x_n,y_n)$,\n", "the interpolation is achieved by a polynomial $p(x)$ of degree $n$.\n", "\n", "To construct the interpolating polynomial, we use the divided differences. The Newton basis functions are defined as:\n", "$$\n", "N_{j}(x) = \\prod_{k=0}^{j-1} (x - x_k).\n", "$$\n", "\n", "The divided differences method incrementally calculates coefficients for the Newton polynomial, allowing for efficient interpolation. The coefficients represent the slopes of the divided intervals and are recursively computed as:\n", "$$\n", "f[x_i] = f(x_i),\n", "$$\n", "$$\n", "f[x_i, x_{i+1}, \\ldots, x_{i+j}] = \\frac{f[x_{i+1}, \\ldots, x_{i+j}] - f[x_i, \\ldots, x_{i+j-1}]}{x_{i+j} - x_i}.\n", "$$\n", "\n", "Therefore, the interpolating polynomial can be constructed as:\n", "$$\n", "p(x) = \\sum_{j=0}^n f[x_0, x_1, \\ldots, x_j] N_{j}(x).\n", "$$\n", "\n", "**Advantage:** The Newton interpolating polynomial is advantageous because it allows for efficient incremental addition of new data points without the need to recompute the entire polynomial, making it computationally efficient for updating the interpolation." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def divided_diff(xdata, fdata):\n", " \"\"\"Calculate the divided differences table.\"\"\"\n", " n = len(xdata)\n", " coef = np.zeros([n, n])\n", " coef[:,0] = fdata\n", " \n", " for j in range(1, n):\n", " for i in range(n - j):\n", " coef[i, j] = (coef[i + 1, j - 1] - coef[i, j - 1]) / (xdata[i + j] - xdata[i])\n", " \n", " return coef[0, :]\n", "\n", "def newton_poly(coef, xdata, x):\n", " \"\"\"Evaluate the Newton polynomial at x.\"\"\"\n", " n = len(coef) - 1\n", " p = coef[n]\n", " for k in range(1, n + 1):\n", " p = coef[n - k] + (x - xdata[n - k]) * p\n", " return p\n", "\n", "# Calculate the divided differences coefficients\n", "coef = divided_diff(xdat, fdat)\n", "\n", "# Evaluate the Newton polynomial at the points in xpoly\n", "fpoly = [newton_poly(coef, xdat, xi) for xi in xpoly]\n", "\n", "plt.title(\"Newton polynomial interpolation\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"f(x)\")\n", "plt.plot(xdat, fdat, 'or', label='data')\n", "plt.plot(xpoly, fpoly, label='Newton polynomial interpolation')\n", "plt.plot(xref, fref, '--', label='true function')\n", "plt.legend()\n", "plt.show()\n", "\n", "plt.title(\"Newton polynomial interpolation error\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"${|p(x) - sin(x)|}$\")\n", "plt.plot(xref, abs(fref - fpoly), '--', label='error')\n", "n = len(xdat) - 1\n", "plt.axhline(y=(xdat[1] - xdat[0])**n / 4. / (n + 1.), color='r', linestyle='-', label='max. error')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Error\n", "\n", "The error of polynomial interpolation is related to the (n+1)th derivative of the function, as well as of node distribution\n", "$$\n", "R_n (x) = \\frac{f^{(n+1)}(\\xi)}{n+1} \\prod_{i=0}^n (x-x_i)\n", "$$\n", "\n", "The error term $R_n(x)$ depends on the (n+1)-th derivative of the function. For functions with high derivatives or rapid changes, polynomial interpolation may become inaccurate, especially with equidistant nodes.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Runge's phenomenon\n", "\n", "It may be tempting to use a high-degree polynomial for interpolation.\n", "One has to be careful, however, as it can lead to large oscillations at interval edges if the high-order derivatives $f^{(n+1)}$ increase with $n$.\n", "\n", "Consider the Runge function\n", "$$\n", "f(x) = \\frac{1}{1+25 x^2}\n", "$$\n", "\n", "Let us look at the performance of the polynomial interpolation of various order for this function." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def runge(x):\n", " return 1. / (1. + 25. * x**2)\n", "\n", "# For plotting\n", "xref = np.linspace(-1.,1.,100)\n", "fref = runge(xref)\n", "\n", "# 5th order\n", "xpoly5 = np.linspace(-1.,1.,6)\n", "fdata5 = runge(xpoly5)\n", "fpoly5 = [f_poly_int(xin,xpoly5,fdata5) for xin in xref]\n", "\n", "# 9th order\n", "xpoly9 = np.linspace(-1.,1.,10)\n", "fdata9 = runge(xpoly9)\n", "fpoly9 = [f_poly_int(xin,xpoly9,fdata9) for xin in xref]\n", "\n", "# 15th order\n", "xpoly16 = np.linspace(-1.,1.,16)\n", "fdata16 = runge(xpoly16)\n", "fpoly16 = [f_poly_int(xin,xpoly16,fdata16) for xin in xref]\n", "\n", "plt.title(\"Polynomial interpolation of Runge function\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"f(x)\")\n", "plt.plot(xref,fref,label='Runge function')\n", "plt.plot(xref,fpoly5,label='poly. int. (5th order)',linestyle='--')\n", "plt.plot(xref,fpoly9,label='poly. int. (9th order)',linestyle='-.')\n", "plt.plot(xref,fpoly16,label='poly. int. (15th order)',linestyle=':')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We're in real trouble at the end of the intervals!\n", "\n", "Can one do something to fix it? So far we have dealt with equidistant nodes:\n", "$$\n", "x_k = a + h k, \\qquad k = 0,\\ldots,n\n", "$$\n", "\n", "The interpolation can be improved by considering nodes which are **not equidistant**\n", "\n", "The optimal choice is typically given by *Chebyshev nodes*:\n", "$$\n", "x_k = \\cos\\left(\\frac{2k+1}{2n+2} \\pi \\right), \\qquad k = 0,\\ldots,n.\n", "$$\n", "Chebyshev nodes reduce oscillations by clustering nodes closer near the interval boundaries, which minimizes the product, which minimizes the product $\\prod_{i=0}^n (x-x_i)$ and improves interpolation accuracy." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import math as math\n", "\n", "def equidistant_nodes(n,a,b):\n", " h = (b-a) / n\n", " return [a + h * k for k in range(n+1)]\n", "\n", "def chebyshev_nodes(n,a,b):\n", " return [(a+b)/2. + (b-a) / 2. * np.cos((2.*k+1.)/(2.*n+2.)*math.pi) for k in range(n+1)]\n", "\n", "def product_nodes(x,nodes):\n", " ret = 1.\n", " for i in range(len(nodes)):\n", " ret *= (x - nodes[i])\n", " return ret\n", "\n", "for n in range(5,16,10):\n", " nodes_equidistant = equidistant_nodes(n,-1.,1.)\n", " f_prod_equidistant = [product_nodes(xin,nodes_equidistant) for xin in xref]\n", " nodes_chebyshev = chebyshev_nodes(n,-1.,1.)\n", " f_prod_chebyshev = [product_nodes(xin,nodes_chebyshev) for xin in xref]\n", "\n", " plt.title(\"Product Term: Equidistant vs Chebyshev Nodes\")\n", " plt.xlabel(\"x\")\n", " plt.ylabel(\"Product term\")\n", " plt.plot(xref,f_prod_equidistant,label='Equidistant nodes (n = ' + str(n) + ')')\n", " plt.plot(xref,f_prod_chebyshev,label='Chebyshev nodes (n = ' + str(n) + ')',linestyle='--')\n", " plt.legend()\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 5th order\n", "xpoly5 = chebyshev_nodes(5,-1.,1.)\n", "fdata5 = [runge(xin) for xin in xpoly5]\n", "fpoly5 = [f_poly_int(xin,xpoly5,fdata5) for xin in xref]\n", "\n", "# 9th order\n", "xpoly9 = chebyshev_nodes(9,-1.,1.)\n", "fdata9 = [runge(xin) for xin in xpoly9]\n", "fpoly9 = [f_poly_int(xin,xpoly9,fdata9) for xin in xref]\n", "\n", "# 15th order\n", "xpoly16 = chebyshev_nodes(15,-1.,1.)\n", "fdata16 = [runge(xin) for xin in xpoly16]\n", "fpoly16 = [f_poly_int(xin,xpoly16,fdata16) for xin in xref]\n", "\n", "# 20th order\n", "xpoly20 = chebyshev_nodes(21,-1.,1.)\n", "fdata20 = [runge(xin) for xin in xpoly20]\n", "fpoly20 = [f_poly_int(xin,xpoly20,fdata20) for xin in xref]\n", "\n", "# 100th order\n", "xpoly100 = chebyshev_nodes(101,-1.,1.)\n", "fdata100 = [runge(xin) for xin in xpoly100]\n", "fpoly100 = [f_poly_int(xin,xpoly100,fdata100) for xin in xref]\n", "\n", "plt.title(\"Poly. int. of Runge function with Chebyshev nodes\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"f(x)\")\n", "plt.plot(xref,fref,label='Runge function')\n", "plt.plot(xref,fpoly5,label='poly. int. (5th order)',linestyle='--')\n", "plt.plot(xref,fpoly9,label='poly. int. (9th order)',linestyle='-.')\n", "plt.plot(xref,fpoly16,label='poly. int. (15th order)',linestyle=':')\n", "plt.plot(xref,fpoly20,label='poly. int. (20th order)')\n", "plt.plot(xref,fpoly100,label='poly. int. (100th order)')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Spline interpolation\n", "\n", "Spline interpolation combines the polynomial interpolation and piecewise matching by describing the function at each interval by a low-degree polynomial. \n", "\n", "In case of cubic splines, for each interval $x_i < x < x_{i+1}$, the function is approximated by a 3rd degree polynomial\n", "$$\n", "f(x) \\approx s_i(x) = a_i x^3 + b_i x^2 + c_i x + d_i.\n", "$$\n", "\n", "The coefficients $a_i$, $b_i$, $c_i$, $d_i$ are determined ensuring the continuity of the function and its first and second derivatives at all node points, as well as by matching the function values to the data points.\n", "\n", "Spline interpolation avoids the oscillations of high-degree polynomials by using piecewise low-degree polynomials. However, it may introduce artefacts in derivative evaluations, especially if the data points are unevenly spaced." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.interpolate import CubicSpline\n", "\n", "n = 6\n", "xdat = np.linspace(0,6,n+1)\n", "fdat = f(xdat)\n", "spline_sine = CubicSpline(xdat,fdat)\n", "xref = np.linspace(0,6,100)\n", "fref = f(xref)\n", "\n", "fspline = spline_sine(xref)\n", "\n", "plt.title(\"Spline interpolation of sin(x)\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"f(x)\")\n", "plt.plot(xdat,fdat,'or',label='data')\n", "plt.plot(xref,fspline,label='spline interpolation')\n", "plt.plot(xref,fref,'--',label='true function')\n", "plt.legend()\n", "plt.show()\n", "\n", "plt.title(\"Spline interpolation error\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"${|s(x) - sin(x)|}$\")\n", "plt.plot(xref,abs(fref-fspline),'--',label='error')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 6\n", "xdat = np.linspace(-1,1,n+1)\n", "fdat = runge(xdat)\n", "spline_runge = CubicSpline(xdat,fdat)\n", "xref = np.linspace(-1,1,100)\n", "fref = runge(xref)\n", "\n", "fspline = spline_runge(xref)\n", "\n", "plt.title(\"Spline interpolation of Runge function\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"f(x)\")\n", "plt.plot(xdat,fdat,'or',label='data')\n", "plt.plot(xref,fspline,label='spline interpolation')\n", "plt.plot(xref,fref,'--',label='true function')\n", "plt.legend()\n", "plt.show()\n", "\n", "plt.title(\"Spline interpolation error\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"${|s(x) - sin(x)|}$\")\n", "plt.plot(xref,abs(fref-fspline),'--',label='error')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Interpolation in two dimensions\n", "\n", "Consider the function $$f(x,y) = sin(x+y)$$" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xplot = np.linspace(0,6,200)\n", "yplot = np.linspace(0,6,200)\n", "\n", "X, Y = np.meshgrid(xplot, yplot)\n", "\n", "funclabel = \"sin(x+y)\"\n", "func2D = np.sin(X+Y)\n", "\n", "#plt.contourf(X, Y, Vdip, 10)\n", "plt.title(funclabel)\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "CS = plt.imshow(func2D, vmax=1., vmin=-1.,origin=\"lower\",extent=[0,6,0,6])\n", "plt.colorbar(CS)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "npoints = 7\n", "xdat = np.linspace(0,6,npoints)\n", "ydat = np.linspace(0,6,npoints)\n", "\n", "fdat = []\n", "for xin in xdat:\n", " ftmp = []\n", " for yin in ydat:\n", " ftmp.append(np.sin(xin + yin))\n", " fdat.append(ftmp)\n", "\n", "# plot the data points\n", "plt.title(funclabel)\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "CS = plt.imshow(fdat, vmax=1., vmin=-1.,origin=\"lower\",extent=[0,6,0,6])\n", "plt.colorbar(CS)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "\n", "## Nearest-neighbor interpolation\n", "\n", "Nearest-neighbor interpolation in 2D assigns the value of the closest known data point to each new point, which can result in a blocky appearance." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def f_nearestneighbor_2D(x, y, xdata, ydata, fdata):\n", " \"\"\"Returns the nearest-neighbor interpolation of a 2D function at point x.\n", " xdata and ydata is the regular grid used in interpolation.\n", " fdata are the data points along the grid.\"\"\"\n", " # Search for the nearest neighbor for coordinate x\n", " indX = np.searchsorted(xdata, x)\n", " \n", " if (indX == 0):\n", " if ((xdata[0] - x) > 1e-12): \n", " print(\"x = \", x, \" is outside the interpolation range [\",xdata[0],\",\",xdata[-1],\"]\")\n", " elif (indX == len(xdata)):\n", " if ((x - xdata[-1]) > 1e-12): \n", " print(\"x = \", x, \" is outside the interpolation range [\",xdata[0],\",\",xdata[-1],\"]\")\n", " indX = indX - 1\n", " else:\n", " x0,x1 = xdata[indX-1],xdata[indX]\n", " if (abs(x-x0) < abs(x-x1)):\n", " indX = indX - 1\n", " \n", " # Search for the nearest neighbor for coordinate y\n", " indY = np.searchsorted(ydata, y) # Search the interval for coordinate y\n", " if (indY == 0):\n", " if ((ydata[0] - y) > 1e-12): \n", " print(\"y = \", y, \" is outside the interpolation range [\",ydata[0],\",\",ydata[-1],\"]\")\n", " elif (indY == len(ydata)):\n", " if ((y - ydata[-1]) > 1e-12): \n", " print(\"y = \", y, \" is outside the interpolation range [\",ydata[0],\",\",ydata[-1],\"]\")\n", " indY = indY - 1\n", " else:\n", " y0,y1 = ydata[indY-1],ydata[indY]\n", " if (abs(y-y0) < abs(y-y1)):\n", " indY = indY - 1\n", " \n", " return fdata[indX][indY]\n", "\n", "# compute the function values using NN interpolation for plotting\n", "fvals = []\n", "for xin in xplot:\n", " ftmp = []\n", " for yin in yplot:\n", " ftmp.append(f_nearestneighbor_2D(xin, yin, xdat, ydat, fdat))\n", " fvals.append(ftmp)\n", " \n", "# plot the data points\n", "plt.title(funclabel + \" nearest-neighbor interpolation\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "CS = plt.imshow(fvals, vmax=1., vmin=-1.,origin=\"lower\",extent=[0,6,0,6])\n", "plt.colorbar(CS)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bilinear interpolation \n", "\n", "Let us now consider linear splines in two dimensions -- the *bilinear interpolation*\n", "\n", "\n", "\"Bilinear \n", "
\n", " Source: Wikipedia\n", "
\n", "\n", "
\n", "\n", "Bilinear interpolation applies linear interpolation twice—first in one direction (e.g., x) and then in the other (e.g., y). This ensures a smooth transition between points on a grid.\n", "\n", "The algorithm is the following:\n", "1. Find $(x_1,x_2)$ and $(y_1,y_2)$ such that $x \\in (x_1,x_2)$ and $y \\in (y_1,y_2)$\n", "2. Calculate $R_1$ and $R_2$ for $y = y_1$ and $y = y_2$, respectively, by applying linear interpolation in $x$\n", "3. Calculate the interpolated function value at $(x,y)$ by performing linear interpolation in $y$ using the computed values of $R_1$ and $R_2$\n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def f_bilinear(x, y, xdata, ydata, fdata):\n", " \"\"\"Returns the bilinear interpolation of a 2D function at point x.\n", " xdata and ydata is the regular grid used in interpolation.\n", " fdata are the data points along the grid.\"\"\"\n", " # Search the interval for coordinate x\n", " indX = np.searchsorted(xdata, x)\n", " if (indX == 0):\n", " if ((xdata[0] - x) > 1e-12): \n", " print(\"x = \", x, \" is outside the interpolation range [\",xdata[0],\",\",xdata[-1],\"]\")\n", " indX = indX + 1\n", " elif (indX == len(xdata)):\n", " if ((x - xdata[-1]) > 1e-12): \n", " print(\"x = \", x, \" is outside the interpolation range [\",xdata[0],\",\",xdata[-1],\"]\")\n", " indX = indX - 1\n", " \n", " # Search for the interval for coordinate y\n", " indY = np.searchsorted(ydata, y) # Search the interval for coordinate y\n", " if (indY == 0):\n", " if ((ydata[0] - y) > 1e-12): \n", " print(\"y = \", y, \" is outside the interpolation range [\",ydata[0],\",\",ydata[-1],\"]\")\n", " indY = indY + 1\n", " elif (indY == len(ydata)):\n", " if ((y - ydata[-1]) > 1e-12): \n", " print(\"y = \", y, \" is outside the interpolation range [\",ydata[0],\",\",ydata[-1],\"]\")\n", " indY = indY - 1\n", " \n", " # First do linear interpolation in x for both y0 and y1\n", " x1,x2 = xdata[indX - 1], xdata[indX]\n", " y1,y2 = ydata[indY - 1], ydata[indY]\n", " \n", " # Linear interpolation in x at y = y0\n", " f1x,f2x = fdata[indX - 1][indY - 1], fdata[indX][indY - 1]\n", " f1 = linear_int(x, x1, f1x, x2, f2x)\n", " \n", " # Linear interpolation in x at y = y1\n", " f1x,f2x = fdata[indX - 1][indY], fdata[indX][indY]\n", " f2 = linear_int(x, x1, f1x, x2, f2x)\n", " \n", " # Finally, linear interpolation in y at x = x\n", " fret = linear_int(y, y1, f1, y2, f2) \n", " \n", " return fret\n", "\n", "# compute the function values using NN interpolation for plotting\n", "fvals = []\n", "for xin in xplot:\n", " ftmp = []\n", " for yin in yplot:\n", " ftmp.append(f_bilinear(xin, yin, xdat, ydat, fdat))\n", " fvals.append(ftmp)\n", "\n", "# plot the data points\n", "plt.title(funclabel + \" bilinear interpolation\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "CS = plt.imshow(fvals, vmax=1., vmin=-1.,origin=\"lower\",extent=[0,6,0,6])\n", "plt.colorbar(CS)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The comparison below shows the exact calculation of the function $\\sin(x+y)$, which will help us assess the performance of the bilinear interpolation." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "CS = plt.imshow(func2D, vmax=1., vmin=-1.,origin=\"lower\",extent=[0,6,0,6])\n", "plt.colorbar(CS)\n", "plt.show()" ] } ], "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": "3.10.16" } }, "nbformat": 4, "nbformat_minor": 4 }