{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Polynomial Chaos Expansions (II)\n",
"\n",
"We will take here an alternative route to fitting a PCE. Instead of gradient descent, we will use `tntorch`'s class `tn.PCEInterpolator`, which finds a sparse set of coefficients via least angle regression (LARS). See [1] for more details on this PCE approach.\n",
"\n",
"[1] [\"Data-driven Polynomial Chaos Expansion for Machine Learning Regression\", Torre et al. 2020](https://www.sciencedirect.com/science/article/pii/S0021999119302220)\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import torch\n",
"torch.set_default_dtype(torch.float64)\n",
"import tntorch as tn\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will fit [Branin function](https://www.sfu.ca/~ssurjano/branin.html), which is two-dimensional:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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8Ph9MJhNisRiGhoawYcMGyYs5wzBc9IiSRenFZymP06gUhmHQ0NCAvr6+nMf5Izii0SjcbjcsFgvi8ThXfSZMk1UygiOTyciW1i3UbFFqUj3xExkMBtpskVIxVPBQ6ho5JpUD2btKh8PBpQRGRkby+rGIQSM84qzECA+grNgS2zd/BIcQ4hciKTK73Z4zgkPoFSo0gqPUCE+lFPqbJp3MXS4X1q9fn+crouZpSqlQwUOpS6pJW5EScIZhEIvFYLFY4HQ60dPTg127dokuDlJQwVNfKG3UVmoRrURw8P1CQvgjOMLhMFwuFyKRCDKZDLRabZ4Q4nt4Fhti0NdoNGVNqifmaWFJPRVDKxcqeCh1hVjaqtwLrUqlyikFHhoawv79+yu6YFPBk4/SFWJKofR0ejn3XWwEBxFDPp8PNpsNfr8farUadrs9L0Wm0+lq/r1kMpm86BNttkgpFyp4KIojV9oqk8nAbrcjFArBbDZz1VbVXMDkFjxyLFyZTAZOp5PzNDQ2Ni7qqIOVuiAsJ8EjBX8EB7/B5qVLl9DV1YWmpiYuRbawsIBoNJrnF+L/J9d5mU6ny5p4X02zRWqeXr5QwUNRDJK28nq9CIfD6Onpqbjaip+2am9vx9jYmGgov1zUarVsgodERiq9aCYSCZjNZjgcDnR3d4NhGHi9XkQiEaTT6bxURLnTwMthpUZ4lKLWHppS9q/RaDi/EOk2zX+eX1Lv9XoRjUY5v5AwRVbILyRGuYKnEJWap+fn59HX10cn1S9hqOChLDrCtFUikYDf78+rQCkGqbaKRCIYGhrC1NQU1Go1zpw5I5tIkTPCQ7ZV7sIVDAZhMpkQCAQwODiIqakpTizyL7T87r78aeDC7r4Gg6Gqu++VfHFX0sOj5PdezMPDMAwMBgMMBkPec6lUijsvQ6EQ5ufnEY1GkclkoNPp8krqxUQ6mV1WawrdcFksFvT09OT5hah5eulABQ9lUSiUttJoNCWXfmcyGa7aqqGhAcPDw2hvb8+5qKjVatlKyeUsSy9ngCjLsnC5XDCZTACAkZERjI+Pc5+TmLn5n1tqGriwWsdmsyEcDucNwCynoZ2S0Y7lnlaS2rfSEZ5K96/RaNDa2io6giOZTOaJ9Hg8DgBoaGjgRFA4HIZOp1P0dyDlJ6ST6pcOVPBQaoqw2kqsd04pAiUej8NiscDhcGD16tXYuXOnZLVVLaIyckCqxwqRTqdhs9lgsVjQ2tqKsbEx0UZ05VCoWoe/4Pj9ftjtdsRiMbAsKxoVKjbzaTmjtOBR8nuvRUqN7xcSinSWZXNEeigUQjgchsViAcMwoiX1i+ljE34O/v/5UPN0fUEFD6UmlFNtVUjw+P1+mEwmhMNhLp1TLJcvd4RnMcQTv+tzX18f9uzZA51OJ8t+C6HVatHW1pY3AV644DgcDoTDYaRSKa7c32Qy5Sw4ixGBWMll6Uot6GT/ixlhIiboxsZGdHV1IRKJoLe3F21tbdwIDuIZ8ng8nI+NH7HkN12s9tgrTSnKaZ6mk+qrhwoeimxUWm0lFCgkbWWxWKDX60XTVoWQW6SIXYwq3ZZwwQ4EAjAajQiHw1WVz8uNcMHhE4vF8Oabb0Kv1yMYDMLpdIqOOSCRoeUSFVqpYgtQ3jTNNy0XGsHBL6kXOzeFkaFSR3DIaZomlGKeTiaT3PUnlUrB4XBgcHAwxzRNzdOlQwUPpWr4Azyl0laFIIJHmLbavn07Ghsbyz6eeo3wkJQWy7JYWFiA0WiERqPB8PAwOjs7y7pYKXlh02g0UKvV6O3tzXmcP+aAlC0bjcacSeCldvatV5ZS48HltP9SGx9qtVpotVpRvxDf1O92u7k+XUJTPzk3+UI9lUoteusH4bmWSCQQCAS464hUs0Uiguik+nyo4KFUBLkDqbZJIACEQiGEQiGcPHmy5LRVIerVwwNkp6+7XC50dHRgfHxctKplqcIfcyAsW06n09xiEw6HuR4uwkod4hVajGZ25bKSPTz1YJqu5pqgUqmg1+uh1+vR0dGRt22Svo1Go3A4HIhEIjlCXa1WI5FIIBgMcj8vNkR0Sd1MCs3TUpPq1Wo1/vCHP+CDH/zgohx3PUEFD6UsSNrK6/Vyi3WlTQKdTifMZjN0Oh20Wi327dsny0W93iI80WgUZrMZLpcLfX192Lt3b0UDHOuFSjotq9Vqyc6+/DtvMuIgHo+LmlOV7HqttIen3gTgYlKLlBKhkKmf+IVcLheCwSAsFgui0WhO3yv+OVpKhWOlFIsylWqeDgQC+OpXv0oFD4UihTBtdfbsWezfv7/si3AikYDFYoHdbseqVau4tNXhw4dlu6AzDJN3d1Mp1TQe9Pl8MBqNiMViGB4eRm9vL/r6+pa02JGbYnfeRAiRNITb7Ybf7+dSECQiVI4fo1KUjvDUg7dLKWopeApB/ELxeBzpdBrr16/nnhNWODocDkkvmxxRy2rSanwxFAgEShqcvByhgociCb/rKImYVNpmPRAIwGQyIRQKYWBgoOq0VSHk7I5cboQnk8lgfn4eJpMJOp0OI1emsqtUKvj9/mUxl2uxZmkxDJNnTn3rrbewZs0aNDQ0cIsNf25arUccKIXSKS2lUfrziwmuQhWOxMtGokMkask/P/nnaSk3QclkUpabJZ/Pl5dyXiks7asApSbIOduKv/gPDQ2Vbc6tBCVSWslkElarFTabDV1dXdi2bVteiJwOIpWHQv1bxEYc8EuW+RGhckdvKJ3SWskRHqUpJ7rC97IJETYBtdvtiEQi3AgOsf5CRGilUilZWlV4PB4a4aFQyq22kloASNqKzHwSW/zL2V65yG1aLiSeIpEITCYTPB4P1qxZg8nJSckL42JFRmpNPX+OQiMO+CkIMgU8FosBQF6VjtRd90o1La905BptUcgvlEqlOLEuNPZrtVqkUim0tLRAq9WisbGxYr8QjfBQViyF0laFIFEU/kWApK2CwSAGBwcLLv6lbK9Sah3hYVkWXq8XJpMJiUQCIyMjGBsbK7ogyV3iTimPQikIflRIeNdNvEJkJlQtjalSKBnhqVdxu5ikUinJzu5yodFoJI39yWQSFy9ehFarzRHr/I7o/OhQIb8QFTyUFQcpKU+n0xWlrTQaDdd1d35+HmazueKeMoC8gqdWZen8OV6NjY1Yt25d3uK5WMelJMtNbKlUqoJ33UQIpdNpzMzMcMZUqahQLb6flZxOq4follKmaeBqCletVqOnpyfH00Y6ohPBvrCwgEgkgkQiwZ3XRAjNz89jYGAAHo8HAwMDinwWpaGCZ4VRbZNAgkqlgtFohNvtRldXF7Zu3VpS2koKOaMyckd4UqkULl++zFWWFZrjVYh6TgVRxOEPvrRYLNi6dSuA/NEbTqeT693C92IQz1C14w2UFB1KCx4lxQZhsRsPSh2DMM3K74gujNoI/WxPPfUUjh8/Dq/Xi+bmZrz66qsYHR3F6OgoNm/ejE2bNknuOxaL4V3vehfi8ThSqRRuvfVWfPWrX8Xs7CzuuOMOeDwe7N69G4cOHYJOp0M8Hsddd92FEydOoKurC8899xxGRkZq8bWUBRU8K4BK01ZiBINBmEwmrg9POWmrQtRb7xwg2xBxdnYWgUAAfX192LdvX1WfdblEeJSkHu72gcKjN/hNFkOhEObn5zkvRqXlyis5wlNql+VaH4PSoiuZTJZ1/RH62R577DEAwP33349bb70Vq1atwttvv40zZ87g9ddfxze+8Q3Jben1erz88stobm5GMpnEgQMH8MEPfhDf/va3cf/99+OOO+7AX//1X+PJJ5/EvffeiyeffBIdHR1455138Oyzz+ILX/gCnnvuueq+ABmggmcZw++EfPHiRYyOjlYUzWFZlqu2UqvVGB4eBsMwWLVqlWx3PfUS4WFZFh6PB0ajEZlMBkNDQwgGgxgaGqr6uIoZoCnLg2JNFsPhcF76gd9kkR8VIouskn14qu1yXC31IDbqIcIjl/D0+XwYHBzE+Pg4JiYmSnqPSqXiUmlkvpdKpcLLL7+MZ555BgBw99134+GHH8a9996LF198EQ8//DAA4NZbb8Xf/u3f1sXNChU8yxDSWpyftvJ4PGX/sSQSCczNzcFms6GzszMnbeX1emVdvJWO8KTTadjtdlgsFjQ3N2N0dJRbsC5fvizbcZExHJSVB7/JotjoDX76gfRuIaM3wuEw7HY7WlpaFqXJIh+lIzxKCy6gPkQXII9/zufz5UUlSyGdTmNiYgLvvPMOPvWpT2H9+vVob2/nhODAwADm5uYAZEfoDA4OAsimhdva2uB2u9Hd3V318VcDFTzLBP50Xb4JuZq0VSAQwMDAgGjaSq1Wy7p4KxXh4Q8s7enpwe7du6HX62U5DiFk6J+c26MsD6QmgJO/6VOnToFhGLjdblgslrwmdiQy1NjYKHskQumUUj2IjXo4Brnw+Xx5Xc1LQa1W4/Tp0/D5fPjwhz+Mt956K+815Jok5lWsh+sVFTxLHH7aipxk1aStzGYzGIbB8PAwxsfHJbcjp0CRe3ulfPZgMAij0cilq2rZ+ZlAPTyUcuFX6KxZsyZHeBRqskjmPFXaZJGP0hGeehEbSi7Ycs5Sq7aBYXt7O6677jocPXoUPp+PS/dZrVb09/cDyEZ7LBYLBgYGkEql4Pf766IUngqeJQpJW/EnlRcSOqRCSPg8v0NwZ2cntmzZUtIEb41Gg2QyWf0HuYLcAkoMlmXhcrlgNBo5Ubd169ZFu5AxDEOrtCgVIfa3W0qTxXA4DK/Xi7m5OcTjcQC5TRaJX6hQVKgeBI/SpmWlkUv0VXr9WVhYgFarRXt7O6LRKH73u9/hC1/4At797nfjhRdewB133IGnnnoKN910EwDgxhtvxFNPPYWpqSm88MILeM973kMjPJTyqGbkA0lBkbLGUCgEk8kEv99ftEOw1PZIl1o5qKXgSafTmJubg9VqRVtbGzZv3pyXOlgM5E5pUVYO5Ro+pZosCkcb2Gw2rsmiRqMRjQrVg+CphwiPksg1R4tEisoVH3a7HXfffTfXt+22227DDTfcgC1btuCOO+7AF7/4RezatQv33HMPAOCee+7Bxz72MWzYsAGdnZ149tlnqz52OaCCZwkgR9qKRGRIh2CVSoXh4WFs2bKlIuVNGg/KhVqtlm3COSEWi8FsNmN+fh59fX3Ys2ePLLNoKkXulJZYX47lTj1UeiiBXJ+50GiDZDKJaDSKcDgMv98Pu92OWCyGZDLJnbv8qNBinXtKm5blTCdVilxVYoFAAK2trWW/b/v27Th16lTe4+vWrcPx48fzHm9oaMDzzz9f0THWEip46hixtFUld1rJZBKxWIxrAlVq2qoQ9ezh8fv9iEajOHXqFIaHh7Fhw4aq71DlWGjlSGllMhnYbDaYzWaoVCquOzV/IarGr0FZuWi1Wmi12rwFkYzaaG9vRyQSgcPhyGmyKIwKVdtkUYhcHdir2b/SESa5BI/X663IsLxcoIKnziBpq2QyWZUJGcimrcxmM3w+H9RqNTZu3IhVq1bJcpy1iPBUI3j4vYI0Gg20Wi0mJydlufBK+Z8q2U6lEZ5kMgmz2Qy73Y6enh6uf4ZKpcobisn3awh7uzQ1NSl+8aYsLViWhV6vR1dXV145Mxl4GQ6HEQwG4XQ6udEbwiaLBoOhotEb6XS6ZpWTpe5f6b8ZuQRPpRVaywUqeOoEftqK3L0PDg5WVG21sLAAs9kMABgeHsbmzZtx6dIlWY+3XiI8qVQKVqsVc3Nz6OjowPj4OAwGA44dOyab94CE86vdViUpLTKN3ev1YmBggKsmI03sgMJ+Df70ZbfbndPbhS+CKl2MKIuDkmb3Qud+oYGX8XicE+ILCwvcsF1+Wo0fFZISFUqbluuh6aBcx+DxeKjgoSiHWNpKq9VyfTZKJZlMYm5ujlv4x8bGcoy5Go1GVoGidIQnGo3CZDLB7Xajv78fe/fuzfEUyOmXUavVsmyrnGPy+/2YnZ1FPB4veRq72P5IFQ8/skfEEhFC/MVImKIwGAyKTAen1A+ZTKZsv45KpUJDQwMaGhoKNlkk5x8ZvaHT6fLOP6UjLErvH6i+lJywkielA1TwKEKxaiuNRoNwOFzStkjayuv1Ys2aNXkLP9gs318AACAASURBVEFpgSLX9nw+H4xGI+LxOIaGhjA6Oiq6GCvduVmMYsNDSXTOaDRCq9ViZGSkJndj/I6/wu2TOVDCFAWQW85MRLrSd76LhdLtBJSMvMkdYSnUZJEI8UgkwjVZDAQC3MBLYWRoMYRIPZznyWSyat8lkPXwUMFDWRRKnVSu1WoL9rgh/WRMJhMAYGhoCJs3by54UdRoNLJWQcldcVRIoGQyGTidTpjNZuj1eoyMjKC9vb3o8ckpeOTYltR3lk6nYbPZYLFY0N7ezqXllKDQHKhYLMbNgUomkzhz5kxOkzt+imwxRx8sBkoLHiVZrLJ0KSF+/vx5DA0NgWGYnPRsNBqVvcmiGPUS4ZHLtDw+Pi7DES1NqOBZBMqttpKKxqRSKS5t1d7enpe2KoRGo0EkEqnsA4gg92ImJnj4TRG7urqwfft2NDY2lrw9uQSZXOJOuJ1EIpEz1kLpsvlC8KeDA4DT6eSM0/y7co/Hw40+EBuI2dTUVNXiqWRZulL7VVps1UMfHo1Gg8bGRtH0LN+0L2yyyB+9Qf4rVzjUQ4RHTtMyjfBQZKeaJoHCCE84HIbZbIbH48GaNWtwzTXXlJ1Tl3v2ldzwBU8kEoHRaOTSdOU2RRRur1rkFDwsy3Kfj0wt3rdvn+J3kNWg0+mg0+nyom6ZTIZbiIReDb1eL2qarleUFFpK9x6qB8Ej9fdBRm9InX/8qCR/9IZYk8XGxkbR71npsniAVmnJBRU8MlNq2qoQpEkgqbbKZDIYHh6uyLjK32Y9Cx4g+0d98uRJpFIprrqs0s8rZ8pNrm0FAgEEg0GcO3cOIyMjVX2+pQDDMJJeDVLBEw6H4XQ6c/q6CIVQPfQUooJn6U1LL9ZkkYhxfpNFINer1tTUhHg8joaGhqo/RzXIKXgqmZS+XKCCRwbIpHI5mgSStFUgEMD8/DxGR0fz/BSVUCvBU+3FMJPJwOFwwGQyIZlMYv369Xnl1ZVQLxEeoRFZq9Vi7969shzXUqVQBU8qleKEEFmIotEol1ILhUJwuVzo6OhY1J5C9VoWTvdfGVKtHIReNbvdDrfbzd181rrJohRyfQder5cKHkplkGhOLBbj1HelTQL5aav+/n4YDAZZzWW1EDyk1L2SP0TiX7Hb7Vi9ejV27dqFkydPyiJ2AOXL0oVG5K1bt6KpqQmHDx+W5ZiWKxqNBq2trXndfkl64q233kIikYDVauXSE/xSZhId0ul0skdFaIRHORbr8wu9agBw8eJF9PX1oampiYsKCZssCqNCZPSGnMctx7ZCoZAicwTrBSp4KoCftiKdbcfHxytqEuh2u2EymZDJZDA0NMSlrex2u6zHXAvBQ6Io5Xgv+ENL+Y305EapCE8ikYDZbIbT6URvb29dG5GXEiQ9odfr0d/fz6UpiGmV3JG7XC6Ew+G8BndECFV6R66k6FBacCg9y0pp03YqlYJarZYU4yRFS85BfopW2GTRYDAsWlRICPkelRavSkIFT4mQtBUROsBVw1wqlSrrYphKpWCz2WC1WtHa2iqZtpLzIit3GTlQuogSCruRkRHJoaVyfebFLksPh8MwGo3w+/0YGhpa8kbkpQLftCrVU0jqjlzoFSrkkVjJHh6lOx0rTTHTMj9FK0wX8c9BMeO+MCokFpmUe3ip0n44JaGCpwjEm5NOp0WrrYr1zOETiURgNpu57sCF7v6JmJCrcqUWJ3mxKEo6nYbdbofZbEZLS0tRPxLZnhzmPLVaXfLvpRiFxKLX64XRaEQymSwo5GrBSrxwlbP4F+spRBYiMhyTGEOFQkiv1yse4VnpKS0lIRGeSih0DiYSCS4qtLCwgEgkwkUm+e0ctFqtLDdP8Xh8xUebqeCRQM4mgR6PByaTias+kuoOzIdUatVzqa5UhCcej+ekdSYmJkoa/ie34CFVF9UiFDxkUKnRaIRer8e6detk8x5Rag/fpyG8IyfVO+FwmOvpEovFuOvB7OxsTnpsMaJ4LMsqKjiUFntKi61aNB7kN1ksNHojEolw1Z3Hjx/PG71RTpPPlT4pHaCCR5RUKsWJmGLVVlInmjBttXHjxrKqrbRabU2qquS8eAkjPMFgEEajEaFQCIODg2X7c+qlskpsW8lkEul0GnNzc7Barejo6MC2bdtES14XC6VTHcsRqeqdUCiES5cuwWAwcF4hMoiVn5rgm6bloh5+z0rtv17SaYv5+YWjNwKBAGw2GzZt2pTjVyOjN8jcRX6TReIV4t88UsFDBY8klVZb8dNWfX19FZtWa2UyltOASKJQ8/PzMJlMYBgGw8PD6Orqqui7k1PwyLmtdDqN+fl5WK1W9Pf3V9T4cTlSDwvxYsEwDLRaLVavXp3zuDA1MT8/j3A4zPUUEnaZlmpuV4h6iHIohdKG6XqApFoL+dUymUxOVIjfZPGVV17BhQsX0NnZiUgkgtnZWQwNDZX0vVosFtx1111wOBxgGAaf/OQncd999+Hhhx/Gv//7v3Ndrx955BF86EMfAgB885vfxJNPPgm1Wo0nnngC73//++X/UiqECh4RGIYp66JEZluZzWakUqmCQy2leOK3FwAAnz44BuCqmJATIqLkuICkUin4/X74fD6sWrUKmzdvrrrcsd4iPKSizO12o7m5GXv27Km7hWcliQ4lkfqeC6UmSE8hqeZ2fCFUaOTBSv4d18McK6UppekgwzAwGAyiM/jWrVuHM2fO4De/+Q3cbjceeOABmEwmqFQqrF27Fj/96U8lGytqNBo89thj2L17N4LBICYmJnDw4EEAwP3334/Pfe5zOa+fnp7Gs88+i/Pnz8Nms+G9730v3n777br5HVLBUwWk10okEsHc3Bw2bNiQV7JYKp8+OIYnfnsBT/z2Aj59cKwmKS0ieErx00gRi8VgMpmwsLCA5uZmDA4OYv369bIcXz1EeFiWhc/nw+zsLNLpNEZGRrBq1Sr4fD7ZxI4cCxiJQCpVskv2vVIW4ko+a7GeQmJ341qtNs80XS9pHSVQWvDIXdlaCdV6Obu7u3H99dfD4XBg/fr1nEhJpVKcD1GKvr4+9PX1AQBaWlqwefNmzM3NSb7+xRdfxB133AG9Xo+1a9diw4YNOH78OKampio+fjmhgkeEYhe2aDQKs9kMl8uF3t5edHV1YePGjbL5OZ747QXcvLm5ZhGeSvD7/TAajYhEIhgeHsbGjRuxsLCAYDAo2/EpGeFhWRZOpxNGoxGNjY05HZ/dbresfqCVJBSWC3IKS6mRB/xBmGQiuMViQTgcRiaTQSKRkKWn0FJCacFTL3O05Bht4fF4OPECZNeDDRs2lPx+o9GIU6dOYXJyEq+99hq+853v4Omnn8aePXvw2GOPoaOjA3Nzc9i3bx/3noGBgYICabGhgqdEWJaF1+uFyWRCIpHgFn2GYXDu3DnZxcnTbzhx21Z5K3/KFTykGslkMkGr1WJ4eBgdHR3cYi2nQJF7e6Vui4zysFqt6Orqwo4dO/Imsss5eV2lUi0LT8ZK7ElT6/1KDcJcWFiA3+9Hb28vwuEwQqEQ5ufnEYlE8rr8EjEkl8dM6aZ/Ske3lBZcgLxztLZs2VLRe0OhEG655RY8/vjjaG1txb333osvfelLUKlU+NKXvoTPfvaz+NGPfiR6vtTTzR0VPCLwf0Gkl4zFYkFzc7NoCXI5vXgKQdJaQPYusFYprWKkUilYrVbMzc2hs7OTG4tQ6fZKZTEjPKR0fn5+Hv39/di7d6/kIlGPg0jrAaUXw8VE6caDGo2m4CBWYpp2OBwIh8PcIik0TZc7iFVpca60aVkusVEPx+Dz+fJ8ZqWQTCZxyy234KMf/ShuvvlmAEBPTw/3/Cc+8QnccMMNALIRHYvFwj1HCj3qBSp4JCBeFZK22r17t2SuUy7Bw0fNMDh0Yh7fGBuTb5tqdUGBImyMWEgEkO0ttQhPKBSC0WhEMBjE0NAQpqamil7Q5e7avFwEz0qiXnvRFOryy58ITkbgxGIxroRZaJoWExZKCx6lIyxK7x+QT/B4vd6yBQ/LsrjnnnuwefNmPPDAA9zjdrudS4/98pe/xNatWwEAN954I+6880488MADsNlsuHTpUl0NS6aCR4JLly6hu7ubS1sVohaChyyMH/3Bq/jZXx2QZZtSERnSLZik6kqtMKtFhCeRSMiyLb5IIenI2dlZZDIZrF27tqzZZ3JHeOSKjJBZPUpckJU0TCuB0hGeSvYt1VOIX8JMvEKkp5BOp8sRQqQcWimUFhz1EuGRI0VZieB57bXXcOjQIWzbtg07d+4EkC1B/4//+A+cPn0aKpUKIyMj+MEPfgAAGB8fx2233YYtW7ZAo9Hgu9/9ruKCkQ8VPBLs2LGj5EVOq9UiHA7Lsl+S1uIvsqRyq1o0Gg3i8TiA7EXP6XTCZDKhoaEBa9euzfENlEI9R3iIsLDb7TCZTGhqasLGjRsrqqKTU/AQD081BAIBzMzMcB4OlmVzWtGTBaueLjRLHaUjPHLum1/CTPqoAFd7CvHnPgWDQYTDYZw4cSJvCGZDQ0PNoz/lDieuxf6V/jsiPZ2qxe/3ly14Dhw4IHpjQ3ruiPHQQw/hoYceKvv4FgMqeGSgZhGeK4v/sRmXLKKHCJ7Z2VnYbDZ0d3eLmnTL2V49eniIBykcDiMQCGDnzp1VVTnUg4eHjCiZnZ0FwzBYu3YtmpubuW3x79g9Hk/eHTsRQWQ2T7UoXRK/2CgZzVqs0RL8nkKksR0Zijs2NsadX/xBrABETdNyRUXS6bQsFUqVUg8RHpZlZRE8yWSyqpYkywEqeGSgFoKHXNQn13Xj2IwLQHWRnnA4DIvFAo/Hgw0bNmBycrLqP2Q50zNA9YInFovBbDZjYWEB/f39MBgM2LRpU9XHpWRKi18u39TUhLGxMc64yh9/Qhac7u7unPeSLsDhcBhOpzPH0MoXQQaDQXRSM+UqSy2lJQfEw1NsECsxTc/NzeX0FBKapkud+8Tfv9IeHqUFjxyspPRzIZb+b7JGlPNHKbfg4VdrCSlH9AgHl/b09EClUmF4eFi2Y5WTSgUPf4bX8PAwNmzYAIZhYLfbZTkuJVJaZG6XxWJBZ2dnRZG4Ql2Axfq9xONxrkcMXwyJjUNQKsKj1IW7HkRHPe6bP4hVCEmPRSIReDwe7hx79tf/DY1Gg/Ozc5jcsQUPfPxWNDU1ie5H6ZSSXD1wlIZcc1b6DQ0VPDJQiwgPgVzej824MLkue/deTPRkMhnY7XaYzWYYDAauA3QsFoPL5arJccpBOYKHiDmj0QiWZbF27Vp0dnbW5A9azkhWMfGUTCZhNpu5KohrrrlG1kGUBClDazqdzkldOBwORKPRnOGEpPvvSqo2W4qmZTmoVGz90w9/isOnzuPaie15z/X29uLw6WkwTLZI4WvffQqpVIpL3eh0Orw5Y8ehR+6Xzb9SKUoLLrn8W8FgsOIpAMsJKngkKOckk9u8yx0Dw4DNZHLSWoC0pyeRSMBiscBut2P16tXYtWtXzt1JLQaSykkp32Mmk4HD4YDJZEJzczNGR0cLTqGvt67GUoKH3wZhYGCg7EnzciGVuhBW9kSjUZw9exbAVQ8HPyq0HNIAfJRMCdRzhIfwTz/8ac7Ph0+dl3wtSZH92TU7cx5nWRbpdBrJZBIsy+LRH72AcDgMNaPGR9+/L2/kRrk9hSpB6ZSWnBVaK31SOkAFjyzU4o/u0wfH8ODTdskLDl/0kN4ygUAAg4ODkotlLYSZnJ2DCx0fvxlid3d3npgTg4gLpass+AhTQfy+QPzu3fWGsLLH7/djbGwMOp2OmwsVDodht9sRDofz5kKR92q12roSoOWwUiM8Un8/QpEjRCy6AwBHzrwl+rhKpYJGo8Hrb81C36BHd1c30qk0urq68MqbZiSTSSSSCfz5+6dyBrGSyCNfdMv1Ny/XsOVKSSaTsvXgoYKHCh5J6uGiLIwGkLTW5LpuHJ1xIRKJ4I033gAADA8PF+0tU4vPpNFoZGv/LiZ4+JGPNWvWlGW2JturJ8FDfqdkQGkqlcLIyEhZfYHqAf7wUOLh4De+I3OhiJl1YWEBRqORS1EIS+gX4269GpQWHUrtW+xv+59+cAgAcPjkm9gvImoKRXcI+3dvK/z8znEAQIbNQMWowDAM50d78bVzOHp+Bj9/9H5uECs5z/iDWHU6XZ5pulxjvtLXDzm7LFPBQwWPbNRiRpKaYZC+InhIWivDsggGgwj4Awg1Z/CKsx1//z/E76QWA9K9Wa5SZ0IwGMTs7GzOsNJyv9t662rMsiyi0SgcDgcMBoPomJLlAn8ulPBCm0qluIiQ1+vlOgAzDJPTAZgYpoW/d6XK0pWM8NRDSosIHSArdqQ4//YMto6ux+ET+a+Znp1Da4tBUhSpNLl+NTbDglHlfvaj52cAAP/yzEsAgPvv/KDkIFYihFwuF8LhMBKJRJ4xv9AgVqXL0pXssrwcoYJHgnIvbsS4LGefg4/t6cEv3goBAFLpNCLRKKxXZnq1tLRgNqTC5GqdbI0JK0HONBnLskilUnjjjTe4Dp7VGJFr5a0qF77vCADWrFmDtWvXVr1dJSMi1VRpaTQatLa25pko0+k0otEoV0Y/Pz+PaDSa01gxHo8jFAqhra1tUe+8lRY8Su373372S6hUKlGfHInuHD5xlnvM4lhAa3MT9u/eKro9lVqD/RPi0Z3Dp87j/GUrtm4cwZGzFzG1fVP2HBP56FM7rl7v/uWZl3D/nR/M3U8BwU2M+ZFIJKenEBnEyhfcSqe05BQ8NMJDBY9s1ELwaLXa7AU+GEQimYSaYWBL6rGvsxNTncgxMpcqeuSORMlhhOYLgmQyiU2bNhU0IpeK3BGecheedDoNq9UKq9XK+Y6cTmddpdjqCbVaLTkgkxim5+fnYbPZMDMzU9PGikKUTmktdoTnn35wCIdPnEUsFsPeHbkTtg+ffBMWmxOHcVXocOLn5LkC3h3xVhsElUaP8fWDmNoxhiNnLuDI2YsIBIIwu0OY2p7tp0WiO0L40Z5iFOspRKKPNpsN0WgUr7/+ek7fKnKeldtTqBLkTGmNyTiXcalCBY8ElUZ45IBlWSwsLMBqtSIUjKJ71So0NjZiELkiR0gpc7eIQJGr1LmaKEoqlYLFYoHNZsOqVauwa9cunDx5UhaxU+2xCeF7VoqRSCRgNpvhcDjyhrAqLcLkYjH78PAbK1qtVoyOjkKn062YxoqL+Tvmp60AYPf4KLdvEsk59/YMtm5an+ffOXzynOR2idiRiu4Q9u/KendIBGdubg5mVxBHzl4EAKjU2pzojhCxaE+piPnRgsEgrrnmmpy+Vfw0LP/cJOdbY2OjrKZpOfoA0QhPFip4ClDORV0OwZNKpWCz2WC1WtHe3o7BwUH8zZoM/uuy9EBNfn8eoHikR27BU0mEJxqNwmQywe12Y2BgIM+ILNcFvhZTzgvdaUejURiNRni9XslqOZVKVRdptuVAtY0V+QtUsfNtuUd4hEKHiBuWZfHGmxdyomZbR9eJmpUB6cosoLDYOfLmO5LPEYHz/MuvIxCJA2oNprZukHz9bQ99B1PbN+H+2w9KvqZcig1i5XuFyFgXvV4vapouB7kiPJXM0VqOUMEjE9UIHlKJREYi7NmzBzqdDi6XC263O+/1/GotsYhPIdGj5PyrQCAAo9HIGZHFprKT7cnxR65Wq2WLphTaFt9gPTIygrGxMcnFUe5xHEpR79PSS2msGAgEYLfbRRsrkkWKnJ/L1cMjFDpCTp5/GxqNJsevs3/PjrzXlRLdKQaJ7hCE59dgTzemdmzCkTcv4ci5rEASCp8j5y9z//6X535blegp5fzmt2sQvpdEH0kqNhwO51Up8k3TYr/jZDIpWx8efhXlSoUKngLUOsLj9/thNBoRjUYxNDSUV4l0VZxcjRJIiRwCEUNSokduwVNseyzLwuVywWg0ckMvOzo6JC/gcgseuSM8fLxeL2ZmZsrq9FxvlWMrjVIbK7pcLkSjUWQyGTQ0NHBDLFtaWmQdjlkKtYrwZH06Z7B/IlfA/PCZX6KtpRmD/T3YuXkD56nim5PFkDu6wxd6R8/Pco9Pbdt45X1Z4SMUPcTvA2RFD4CKhE810ZVC0UdSpRiJROD3+3N6CvFN001NTUgkErRKS0ao4JEJrVaLSCRS9HVkGKTJZIJOp8PIyAja29tFF0qNRoNkMolPHxyXnK0FSEd8xERPLSI88Xg873H+eIuWlhZs3rw5z4wqtb1aipRqtpVOpzl/1ezsLPR6PTZu3FhWy/blIniUnKVVq/Eh/MaK/P2RCCxJOS92Y0W5PzPXR+fEmZzHyc9tLQbc/j+zAsHlcuXse7GiO0D+557akTsIeGrbxpxoDwp8R5VEe2rVg0eqSpH0FOJ7hXw+H958803OnM/3C5XjSQuFQnS0BKjgkQ2tVltQSPA7BXd2dmLbtm15vSPK2WahtBbf1yM0MtciwhMOh7mfk8kkZ0Tu6enB7t27y6pck1PwyG1adjgccDqdaG9vL+n3J7UduYTCUjTgLjVIqouMy+jr6wOwuI0V5YrwiKWv9k/sEAgfFQb7e7mfiOgoJboj1ptnenYO46Prcvru8MVNIe8O6T/Ej+4I4Ud7pmftuOem6yRfW67oWeySdOIva2pqQnd39vodDoexa9eunFSsmCdNaJrmny8syyray6meoIKnAOVcoEg0RkgkEoHJZILH4ym7U7DUNgultcSe40d6auXhIYZdj8eDgYEB7Nu3r6JQrNwRnmo/KxGqLpcLDMNgYmKiqtYDNMKzNBFGG2rZWLHYvstFTOgcPnHmSml5VuyQtNbhE2dzDMn8ffOjO0QAWRwLCIQiV1/D66B85MwFjG8Y4bomA8Dh0+dzxM+0eQFbN4yIHje/w7QwupMHo0ZrcyNXtr5vfJ3oy8oRPUrP0QLADVQlQ1Xb29tznuf3rgqFQpifn0ckEgHLsnC73XjppZcwOpqttPP7/XnvL4TFYsFdd90Fh8MBhmHwyU9+Evfddx88Hg9uv/12GI1GjIyM4Oc//zk6OjrAsizuu+8+/OpXv0JTUxN+8pOfYPfu3XJ/JVVBBY9M8D08LMvC5/PBaDQikUhgeHgYmzZtKlthq9VqblH59MGxktJaUs8R0aPRaLh8sRzEYjHMz8/D7/djeHi4oGG3FOSO8CQS0hVuhYjH4zCbzZifn8eaNWvQ09ODNWvWVN1nabkInpVGOaKj3MaKQO4AVuE8qEpHS0h5dA6fOINzFy9fKS3PFzF8WJbF0dPnwYhEefZPbC/YdwfIHyHBFz9Hzr2D8XUD2X+fucg9TsQNy7J40zQPQ1OuIViKj7x3HwDg6LnLOHp+RlT0HJ2exe1f+SGe++oni25P6bESpVCodxXxoU1PT8Pr9eLDH/4wfD4f2traMDY2hgceeACjo6OS29ZoNHjsscewe/duBINBTExM4ODBg/jJT36C66+/Hg8++CC+9a1v4Vvf+hYeffRRvPTSS7h06RIuXbqEY8eO4d5778WxY8dq/RWUBRU8BSjnIqPVapFIJGCz2WA2m9HQ0IC1a9eWpaiLIRQ1paS1+M898dsL+F87u6qOevCNyKQL7p49e2RJsSid0opEIjAajfD5fBgaGsLU1BQYhsGFCxdkESq0SmtpIoePppTGiuFwGB6PJ6e0ORaLwW635/iEClHMo2OxOfPEDkFYbn7mwmUYbfMV990phtC7c+TMRU787BwdgkqlKhrdOSJoRrhv6/qComdq6wY8/vzLAIDPfOQ9kttVeqxENahUKqxatQo333wz9u/fj5MnT+K3v80auH0+Hy5evFi0aquvr49L4RIf5tzcHF588UX84Q9/AADcfffduO666/Doo4/ixRdfxF133QWVSoV9+/bB5/PBbrdz26gHluZvs84gvpVgMIhgMIgdO3agsbGxJvsqV+QI+dHROdy4obIoRSaT4QRdW1sbNm/eDI1Gg+npadn8JEqZlgOBAGZmZhCPx7F27Vps3rw55zPJVeJOOl1Tlha1FHf85nXEu0H2mUgkcPLkSWQymaKNFZ/4yXMQzmHI9+gAg/09IlGfs6L/dri8GK+0706BAaGc0VgAETdHzlzEz373BgyNpV2rprbnRir4ogfIpriOTud7gR5//mVJ0aN0hEeuocw+ny+nQqu9vR2Tk5NlbcNoNOLUqVOYnJyE0+nkRExfXx/m5+cBZJtEDg4Ocu8ZGBjA3NwcFTxLhWKLeDgchslkgtfrxcDAAAwGAzZtKpJrruAYiGnxZ391AB/9was5kZ5SRA7/dQzD4MGXzHhx8+aSjyGZTMJsNsNut6OnpyfHx5JMJhXr61PttliWhcfjwezsLFQqFdatWyfZjVSuVNRySWmttAgPsPgmcVLarNFochYS4Gpjxcf+/Wc4fuY8tm4cQSqVhkqlglarxZtvz8Dh8iCdzkCtZngenfwUFx8idojACQaDoqKmmugOETtilVkElVaH0cHVyEAl2XMHyI/u8Nm3dT2AqykuqFSi25ASPUpHeOSco1VNpiEUCuGWW27B448/XrDSS+x6UG+FFVTwlAlZJI1GIzKZDIaHh7lowNzcnOwlpMLOyJPru3HssosTMKWIHP7rSEqllNlbxHBNBJ1Y52C5B3QuRoSHtAYwGo1oamoqaXaXnIKHVmlVjlINAJVuPCjk8R89CwB48+0ZNDY2oqen98prM3j19dO4ZLRiw/AabBrpRzKZgs02h/PvmKBWqxEOh6DV6rgSen7fHX4kh4v0SHzuSqM7QGGxQ9g9NoJMJoO21jYcOfeOpPARRneE7Nu6Hj/6v6+h1SAddRcTPel0WtbZiOVSD5PSk8kkbrnlFnz0ox/FzTffDADo6enhUlV2ux2rV68GkI3oWCwW7r1WqxX9/f1VH7+cUMFTAP4Fjt9XxmAwiPZfkbNpHoGYoYng+fR7x/AELnCiR0ixiA9ZcPlGZiF+vx+zD9un/wAAIABJREFUs7OIx+OL3jm4GqOx2Lb44imTyWBubg4WiwUdHR1lpR7lGlMhV0qLiLZgMIjm5mYYDIaqSp/LZaVFeJQUPHykSsuBqx4dm9OFbWMbciI5LMvistWJia2bkEhko0Mnz78NlgUa9TocvHYCOp0O8XgcWq2WS6VsG12btz85ojuFIKknNnP1Oycihwifqa0bCkZ3hGwZ6YeKYXB0ehb7tuR/JiBf9CynCE8lgodlWdxzzz3YvHkzHnjgAe7xG2+8EU899RQefPBBPPXUU7jpppu4x7/zne/gjjvuwLFjx9DW1lZWOouUzwurIeWECp4i8AdBFusrQ8SJnH8kUmXkJNJj9UaAMtJae9d2YaxLC9sVTUFED2moZzQaodVqMTIyosiwuVpEePi9gXp7e7nRHZVsS65jqhQivE0mE9rb29HU1AS/3w+bzcaVPlcyK4pSGCUFzz/8y4/w/usu5j0uLC0Hrnh2kJ+2OnLy7JX+QAacfiv7ehLVbG7OlscnEgnEYjEkk0mcuTgDRqVCKtWOYCAArVYLrU4H9RUhdC03HT2398707BzGN2b77khFcUqJ7kxt3wSf3wcNk3stndq6gRM91nkvPnJwqui2SB+ffVvW4uj0bEHRc8dXn8SzX7kHgPIeHjkFD4nClMNrr72GQ4cOYdu2bdi5cycA4JFHHsGDDz6I2267DU8++SSGhobw/PPPAwA+9KEP4Ve/+hU2bNiApqYm/PjHPy5pP+Rvi/xXS6jgKQDLsjh9+jT6+vpE0zlC5O5xAxQeWTG5vhu47MK0zV+wJJ0vhlQqFXDlzvzYjAvXrO3C135xHNf3pdDe3o7x8fG8uTCLiZyCJ5VKIRAI4Pjx45IpuVJhGKbq4bBkO5VERtLpNBedWrVqFSYmJrjKQL6xsdCsKL4QIhGhSk2RKzHCs5jwIzli+z584qxEafmZvNfmvi+/786Ba3YBABftPHziLFpbWjC5ayvsNhsA4NU3ziCTTuPy3DyamxoRiUahZrL9YfZPbINGo8FR0ndn1zgOn8rttwMA05YFtDUXbtbJNxazLAsVk78ATm3dgKPnZxCIxCQrsfLfk/XzFBI9ZN+Pv/AKPnPruxWP8Mg1R8vv92NsrLB9QYwDBw5Inve///3v8x5TqVT47ne/W/Z+VCoVfv/73+M3v/kN7HY7Ojs70d3djdHRUezevRsbN24se5tSUMFTAIZhMDk5uagT04WIiahPv3cMT/wuGzqeXN8NqzdStpF5z3AH/vuCHVaLBc3NzfjXM2n8x71bKj5Oue6A5RA84XAYs7OzCAQC2bLWK6Xl1SBXhKfclFYqlYLFYuGqHfbu3ctdBMW2U2hWFBFCwWAQTqeT6wFDmuGR/0pphrcSWYwIj9TUcuHPFpujQGl5rgCy2JzwB0Ml9d3htrFnBw6fOItgIICW1tZsV3EVgx2tbZjatRXJZBKJZBLJRAIetxupVArBYBC7tmyAz+fDjk0j2aiQ5uqoDZX2HajUGhw5y+u5sz2/yIM8xmZYMCrp8/B/3/RuHDk/U1D0iHVp5ose8jP33JXtPP7CK3jPaNeyifAoEa0vBZfLhY997GPYt28fBgYG0N3djUAggNnZWUxPT+PEiRN43/veh/3791fU2V4IFTwysliCR8hAZxOsnquprUJprcOX5tGryc4EUjEMBgYHwahUYHwufPQHr2JyXXdRM7MQErVQWvD4/X7MzMwgmUxypeXHjx+XZfFe7JRWIpGAyWTiGh9WE50i+xXrAUOGZgqb4ZH+SnwhxJ8evhIjPLWcWC7scMxHONph/8R2HAYr2lBQ7N+D/T24feJ9gtfmVmMRnvuv38IfDGeNyiyLbaNr0b9mTfY9vCaDZDAm4ciZC2hubkZ7WzsSyUR2UngojGQqez18y+ICo2YwuW0MWp0WWq0Wx968xImfqe2b8srGM2xGNMJzlOfdmRpfx4keQLzDMonu8CEihy98hPzsj+fwjS2V3wRWSyqVkmWRF5al1xNtbW34+te/jpGREdG+QL/+9a/xn//5n1CpVLj++uur3h8VPEWo9cT0UrYpNpyTTzay4wJYSBqZd/Q3Y6gphXOOKJgOBgMDA7DNuvH6rFu0QWE5oketVudUklVDuYKH3wRRo9HkNXuUa1GWM8JT6JhisRg3ooPf+LBW8Idm8iGDDIkQcrlcXMv6xsZGxONxrgSa3xV4uVKrAZ6AdKSFVE+1tzQJqqdKT1sVei3ZpnD/n7zzwwCyn9lut2dfU8CoTCBiSHgdYMHC6Apj9+b1SCQTiPqjSCaTGOpqhlqjxvlZO/7w+lm84wxgfP3V8nu+aVkIvzJr6orIEUZ7Cs3gIpBoz7TRgb/8H/tznstkMvjXX/4J9xdoTlhL5IzwFGsyqBRarRYTExO4dOkS/u3f/g1f/OIXAWQ73ev1enzgAx/ABz7wAdn2RwWPjJQiTspFOJyTwE9rEYRG5r3rujHe04gjl+bha0qho70drRENLnmDGBxkC0aDyhE9wtL5aihV8JBGbEajsaxp7JUip+ARIxKJYGZmBsFgECMjI9i0aVNJC2ytog78oYTC6eHRaBSXL19GIpGAxWLhugI3NDRwkaDm5uaaCKGlXJYuVmFFEBMfbS3NuO2G93KiI/t8rgeH8Nz/9/8AiDcVlGoymBc1OnEWg3093GPCzyxVhl6sMuvouctXzydcjViwYJFOp7G/tQ3HLpiwrrcD4VAY/+/wKWxb28st+Jl0BlqdFmq1GscKDRLNifaQ6q786E4+KrQaGkR9PSqVCo+/8AoA4DO3vruEbcmHXIKnniM8hKamJjidTnzmM5/Bxz72MUxMTADIfgcMw8h200cFj4xotVqEQiHZt1lq1OjYjAuT67vBvuPCOasP/dootwiZIgx6exswua4BvzsTQiaT4Sou8rZxxQtUquhZzGaBfPNuV1cXdu3ahYaGBln2Xey4atEwMBgMYmZmBrFYDOvWrcP4+HhdV1TxuwK3t7dzd44sy3IRoUgkAqvVinA4zI1HEKbGllrL/kojhVfHPIinkA6fOHul0kpEfPT3iAotMZOyPxjCJ++8WbDt/OhOdo7WDLZuWi96PPwBodyk9BKiO5X03VFBBY1aA02jBg16PefdOXLuHcy6QgiFQti7pQWRaATJQBLpVDrrExodgs/nh+5Kakyj0XKtgojomTbacM8Nf1b0uAm3Xre7aAUXMTMvFnIJnkQisSjXyGpYs2YNPvvZz+LnP/85nn76abzzzjv48Ic/LMtNNJ+lddVRgHLnaSnh4QGyaa0j7yzA4/GgXxeBSc/gmJPFrXtWYdWq3FSX0DgrZXIu1KtHeIy1Fjz8bs9C8+5iIHeHZJ/Ph5mZGWQyGa7DcyVCR6mIhzA1p1Kp0NjYmNfXiGVZxONxLjU2NzeHSCSCdDoNnU6XI4QMBkNdC6FyvmexlJWwqV+umTi/4d/+ie05g0OlPDoAOAEjRNij5+ocrXzhJYR/blUa3Smn7w6B9Nz57ZHTmDYvZAsPrlRmNTc3o7W1DclkArFYHMFgiLs+arUaaLU6JJMptDQ14Mj5WahUkBQw2X0buX8XK1s/Oj2Lx19YvEiPHFVaS8lnNzIygs9//vP44Q9/iG9961v44x//iE996lMYHy/exqBU6vfqsgSplYdHapskrZVIJOHz+RAMBnEuqceBTYO4fUiFX7xhFk1ZqVQqvG704MBob0m9e4qJHuLhkQPhokI8LW63G4ODg1WbdytFjsaDpEs3qSJbv3492traqtpmPUeDgOzxNTQ0oKGhIcdHQOZEESFkt9sRDoeRTqeh1WrzhNBiilsxShGWxVJWQlGRNRMflHy91H7FPDpSBma+MMr26JE2R/OjO2TfZ982cv4uYc8d67wHgXBUtr47QrYMr0Z/Xx+Onr+M519+HYM9Xdh/ZdaWXi/wCbEskskUkskkMuk0rts2glQyiXNmF353/Bx2b+iHVqeDTqvNaawIAPvGeVVaRPScn8Vg+9V98EXZYkV6UqlU1dc6Injq9TpBxib94he/wNNPP43Vq1djbGwMk5OTOHr0KLxeLz71qU/hwIEDsuyPCp4i1HOEx+v1wm53IJNJo729HQd3rsLxWReYK5UNA51NWUEjaFC4o9+AaZd0N2OpSetSokfOCA8hFAphdnYW4XC4LE+LGHJEQaqJ8JCmjjMzM2hqakJDQwN27dpV1fEAyl7Eqq3SInOi9Hp9jr8gu3AlOSHEH5ip1WoRjUZhs9m47tJyh7ylKHQO8aeTC4UHMR6TlJWUUZggfJxlWZy5cBne42dES8uz28wvTbfYnBjs78l5vtR9kp/TqRQuW+zYsXkjJ3b4qasjZy5wP8vRdyePK9/51NYN+NH/PQyVWiNZgq5SqaDTaXHykhUNDQ1YfcV31tffj8PnLuO8xY3tI6sRjMWQSCbBZjJ4a84DRq3Oa6y4b8taHDk/g7esHqy5UqEG5EaKFkv0VOtdCYVCRcfmKAn5fO3t7bj22mvR1taG1tZWXH/99fj+97+Po0eP4gtf+AK++MUv4uDBg1Vfy6ngkZFaNB4UpnhYlsX8/DyMRiP0ej0evHEXnnrdLvl+4uvBFdEziSsnmWCxKmUKu5TokTPC4/V6EYlE8NZbb2HdunXo7Oys6gQnQqXaO6VKBE8mk4HD4YDRaER7ezu2b9+OpqYmHD58uKpjWc5kFy4ddDpdXu+QRCKBU6dOAQDXFZx0Nuf7g4gQklMQil1oc9NW4ummthYDbv+fhaM4Uo8fPnEW6XR2IKh4abmUR+cy2lqaJXr0SMy/Eil9/+/jp7FxqF/UnyNMZYl6dMrsuyPF0Wkjtqztz048L9J3B7g6NBTIWpev3boeR6dn8dachxMtLACTL47d6/uzAjsSQdLnQzqTAaNSYcOqZpwKBvHfZ94Gw6hFhcdie3oqwePxVDU4dLG4/vrr88rOU6kU9u3bh127dnHrCxU8NaacL1fuuVL8/fPNup2dndi2bRuvR0Ou4BETL5PruzH935dxbMaFsS4tN0+rmMgRPifWq6da0zKJgMzOznJ3/ddcc03F2+OjhOAhM7vMZjO6u7tzpssvJxbbH6DT6aDRaNDf35/z+ySTw8PhMNxuN8xmMxKJBNRqdV5qTA4hlN8c8AwXUclNN53FYH9v3vsLRVqEBuZ9u7biD0fekDwWaY+OeGWW8LjPvT2LthYDBvt788QQCxa7xqW73BYyKnODPnli5sjZiwX77hRialvW11NI9BQqQxf6c45NG8GoGDQ0NqJB4DvLZDKIRiLYOrQKF+0+vGObx/CqVszNzUGr1UKnyw5e1Wq1+JfnX65J2bpcf1tLoUKLIJylRQpFHnnkEe76WW3EiwqeOicejyMWi+HIkSPo7+8vatYt5MnZsqYNVk8E8YQG2/sMuOjJjcqU0qGZvI4f7dFoNFzX3nLgz4Vqa2vD1q1bYTAYcPjwYdkbGVbrASlF8PC7Ivf29hb8XdXLMMpKUXJyuHDfWq0WbW1teX6oVCrFpcbcbjcsFgvi8fiVmVK5Yzb0en3Bz8SyLP7Xp78IhmHyqqTERjwQikVxstvIipGr27n6HBmkW7pHJz+txt9nntl5dF2edwe40neHFf89l2pUFkZ9uCqsK8Jn2uLC/76pQIREpcoxFRP4oof8zD1XoAw9t8OyKse7w4dhGGg0Guh1OjQ2NGLbumxay+yNY2J0FRKJBOc/SyaT+Pv/81Pc9Z4dORHGalsyEG9LtXi93iUR4QEgOkuLVIXKBRU8RVCqciYUCsFoNCIQCIBhmIJmXbGePHz4QgZwIZFI4vRcEI2NjWWJHClfT7kRnlQqBavVirm5OW4uFD8CIufUebmmnBcSPPwBswMDA9i3b1/BYyf+l6UseJYCGo1GUgiRiJDX64XVakU8Hs8bvErmjf3zD38Kp9MJIL+ZXzkRFf7jYs+LVU8dPXUOwtOEL7LIMZHHpfZpsTlwGKzg9RLHeKUMfc/2MU5wCamkDJ1AojttzU1XI0FXKrMI/PgGie7wudpcMLfvTjH2bVmLH/3qCFoNjTg6bcS+LSOir8uwLFRXBAe/K/PJS3N5QollWfz6nB1/cXA3wuEwPB4P15tKr9fnDfMt5eZLzh489dp0kI/wevjkk09CpVJh7969srbqoIJHZoiPp5KIAsuy8Pl8mJ2dRTqdxsjICMbHx/H666+XnZYpJGRKNZyW6uv584nVJXl4yLgEp9OJNWvWYHJyUvSPWk7BI1f/HLF0ZTweh9FohMvlwtDQEPbv31/SXVktUp+LzVIeLaHRaNDa2orW1tacx/mDV/1+P771vZ8glUpBpQLOXLgMtz+IdDoNhlHjz/buBKASjaiUUoYu9nx+qXhWwOzasjHnZymRld1mfkPCQnO0xKI7QLYMPRQO5S00cpahf+T6Se49QuHDZjKYtnrQUqSZKIn2TBvt+MsbilfyHJ02YstIH/aNr8XRaaOk6MlkMjg768zpX8Ov4OKLHpVKhRNvW3HibSv2bRnBZ66kuISViA6HgzPgF/OdyTU41OPx1O0cLT7Cm0CbzYZjx45henoajz76qGyVuVTwFKFcZUkqtco5WVmW5boGNzY25pUrlyKicgaKFvHkvPa2E+M9DZgNgjMyi72uVF/Pvf/xJja2q/D1zZtFjy0SicBoNMLn85UkDBazkWEl8D/PyMgINm7cWFb4mfRBWsrjGJay4JGCP3j1n35wCD092Sqn1944DeOcE2Prh7F903okkwnMzdlw7tIsGIb5/9l78+g27vPe+zMAAe77ToIiCe2URC0UJVFyFsfO5mZtmsXJadrYTXpz3940TZq3ubdNm5zTJafxe07fvPE9N3LiNOc2XtLEaa6dzbITO5Yoiha1UqQ2biIA7gSJlcQ27x+DGcwAMwBIQbaV8jmHFmbmN7/5kQYw33me7/P9srS0pBHBg7W1oacz8Ty0dyenzl6ksNAZn1e/bJVOoydZkFAOw1JWPIyykLeT3ZFDze2RQY4a+Bza2Y6AfnYnNUwZMzbqkMHKkY42Q9AjxvWPkvV4jECPPB/Av/z7r/n8h99m2IkIqbwzudwqZxlNJpMyprCwcN0ZjqWlpZy6jd+JiMViPP744/zJn/yJ8nD6la98BZDMRXP5PbkBeLKIO+WnFYlEcDqdOBwOqqqq2Lt3b4pwm3pOvWPpwgigyDfcw5vrGHplhB8P3OJDXZvWBHLUIQgCl6cDKV1cahXhtrY2du7cmdUHN5cgJZeCgdFolEuXLhEIBLDb7Vn/PndyTRuR2/jgZ/4ypUTkmJpl86Ym3ny4S/ny7R24SElJKd2dOyXn8FAIn8/Pj3/1W4qLCvD7/ZjNZg7v24XVaqX/4pDue8VIgfn4E89QXlpCOByJH09ftkrMp9XokVvT9a5pFJK68mXFJkcuNw+NOSkrKUlpP5cBznpEBtWhBj4/fvkc1aXZczf+4N6DcX7OOIAu8NHlAxmAnoEbTsPPdjLo0SNLy6DHKIx4Z3KWcXp6mkgkwsjICCsrKwCKma+aJ5TpQetuIC2vrKxw4sQJfD4fn//85wEpw3P58mXe+c535vRaG4Anx5EN4FldXeXWrVvMzMxkRUReT7t7JoAyOBOkoQE+9abNikChbCmxVl7PofYqXroSAOD/PXGVP+yqY3R0FEEQaG9vX7OK8BstwyO7sK+srNDR0ZGTVvm7PTvyu5jhMWozb2mqx95cl8KlORbPkJy9PKzsq6oo4yPveTuRSIRQKKQ8pft8PnZvbWN2dlbT6SOKojJPso/WR9/7DgKBgAI8jEQGZXCUjY+Wsl/nmpPTc3h8fnZv28zRA3tY9ixjMpkoLZF0XASzJSW7o9bfGZqcY/fWNt3rqSNTG3rP7i0M/ayXmgqzbiZFHX1XxpXXWgd0/WyP3lx6oEcURQ5ua0kZq75W39AYP3rpPLbaCt1rZQI9eiFnGf1+P/n5+WzatAmId44Fg0pWaH5+nmAwqHjYJfOEZDrA0tLSG76kVVRUxN/+7d/y1FNP8a1vfYuKigpOnjxJIBDgne98Z075jhuAJ4vIVYZHJiJ7vd41cT6yBTxrIS+/eMmr7LdVFinChJlCDwzJN/BXrk7RXhrjkZkZ/vv7D6xb8OqNkOERRRG3283o6Cgmkwm73U4wGMwJATDZ2mMjXt9QCwdKbeHaLMnRrr1xA0/BcJy0X2pDl13k5YeY3oFLlJaW0tzcTDgcVjJCvQOXiMVi/PI3JzGZTEpG6PzQdWyKiaeoAVp6PloyOFKHUSbo6edOKGtKzBnX/Tk3qLGQEGMiJrP0/WTE3Ulkd0bYZZcAgpHuTrZt6H3DE2zfVM/OlhpuTnsygp7kzqxEN1YCwOhld7TnJEAP8fboTN/NEgG6F2rKDdf4L//+a4A1A59k0rLJZFIATbKZ78rKigKEZOuWL3zhC8r6n3/+eVZXV9m5cye1tbUZwcNDDz3Ec889R11dHYODUonzq1/9Ko899phy7X/8x3/kgQceAOCf/umf+O53v4vZbOab3/zmurIyoVCIc+fO8eKLL9LS0sLf/d3f8eEPfxjIbUfoBuDJcSQDHvnGOTY2RiwWo729fc2s87UZiC4AcNheHd9OBSgSgFMdiwsTymPWwuvpG5lnZ60Ve2mMiUCY+rpGLBYL/+WJiyl6PdnG65nhUWsCFRQUsH379pwrlf4ulLRerwxPrrvbZLCjlyXRggaR0+cu4ZiaTU8CNvCokvdbLBZevSRlhMYc0wqB+dDeDiUjtLKyyq4trTidTgRB+ltfGL6JyWRGFGOcTrJ40CtbSdfUMxn185mPfzBlrJ5BqPy3lsFOZu5Oh2ZbrbsDIORZM2Z35Di4vZVAMKBqQU8FFOrsTnLogZ50oEk6RwI9QxPTvO/QVgRT+vdZ39CYRIDuaKPvij6vR461ZnsikUhW7dhqDzv1w9hLL73E1NQUDz/8MEVFRTzzzDMMDw8zNzfHQw89xH/7b//NcM4//uM/5s/+7M/45Cc/qdn/F3/xF/zlX/6lZt/Q0BBPPfUUV65cweVycf/993P9+vWseDfy++vMmTP87d/+LR/5yEf45Cc/SW9vL7W1tXdEu2wD8GQRawUnskv0zMwMExMTFBUVsXXr1pSukGwjLy8va8Ajg5IzowtpOTk7ayy4dKY8bK/BMXCL750c4VP3bDaco7utim1Vebw6tkCksjLuf6RtuczWfDQ5Xo8MjyiKiipyWVlZkrCjdlwubCp+18pBd2OoncyTsyTJJGCv10tJSYmu4rEc6TR3smlDz8vLo3fgIsXFRTQ1NQEiHo+HUCiEc3qO+ppKnn+5F1GE/R1bGLwxjtlspudAp0a3RU+jRwqB3duMFYqTDULV7/X0IoMjuvvV4Oa7P++lvLiQ04Mj9KTRyukbnlCubRLibeEq0CNttytgJxvdncd/3kdHW6oApFGUFRVwcWyaN+3dlnGsGkwZgR5ZL+hfRJHPf+S+5Cl043bb0gVBoKmpCb/fz+c//3nNXJm+D9/85jczPj6e1XV++tOf8rGPfYz8/Hza29vZsmUL/f399PT0ZLVGALvdzt///d8rYrPt7e189atfJRQK8d73vjenDzm3r2y0EZowmUwsLCxw+vRplpeX2bt3L52dnesGOyCBqGw5PJ+7f7uKi7MQ/zeuthzfbxTyuA91baKs0JLinA7Q1VpJIBDE4XQiAGVlZVSrOC161/rmifStrMnxWmZ4YrEYDoeD3t5elpeX2b9/P7t27dIFO7nKavyulLTuVtD2jW//b77x7f9N78AlRaMmWRF50jWjvD7atZc92+wYab3oqxhf4vgTP5FKX6osjxrgGLWhJzIzAgOD1/nVyVfxB1e4/009vPOt9/Cue49RU1NDXl4eB3Ztw+v1MjMzjdPpZHp6mtFbDlZXQ5I0//7d8fniwCVDZ5Y6RFHk7JA+mJFDBjvJ2Z3k2NXWxIfvP6I5JzlksNOzewsxMabJsBzZZVdp78SBTxqwo5zX0U5ZcQEpBKw08Qdv3Y8owtlrk4ZlOL39MtDRIzHL/KJ/+eGLWa0hV07poiimZFvWK2j4rW99i87OTh566CHcbjcATqeTlpYE18lms+F0Otc0b21tLd3d3fHs5gqHDh3ii1/8InNzc8BGSesNGSsrK4r4nMViyUhEXkvcHmlZQCvjlYjkstaZkQTAUfN6Dttr6L0xy+zcHKsrK5jNZlpsjZIy5uI8Z0bnabKkb4eXQU822Z5cZ3j0smPRaFRRRa6rq6O7uzujEaWcLbpdBdRclbRisRgej4eCgoKce0dlirtVNPEbx/9Np108Yasg83OWvb6kTI7EpUmnuZM8r56QoBzG+/emlNKa6mq49+gh1T6BMxeuYLFYKCsrV9YNcMs5jT+wQtfubYTDYWZmZonFYvh8Prr27JCMMuOu4SazWQE7ydkdSADatZaykkPNn+nZs4XTl28qoCc525PQ4UlkeNRxZJedH718Do9/JSvA0zc0hq22QrMOo9Z19Tp3tVRTX19P//CEYkeRshYDUrSc6ZEi9btXBj3psj25Eh6E3HxWP/vZz/KVr3wFQRD4yle+whe/+EUef/xx3YeebK/3+OOPMzAwwJ//+Z+zbds2De/tvvvuw+VyMTw8THt7u0YP6XZiA/BkEen+B3q9XsbHx/H5fLS2tnLgwAFu3LiRM7ADa3dh/9z92/nmC9dUnJxgCien2WriUHs1r44vaM7VqDKPzhOJRHnx0jgzvgh7mxqpra3FNTpP/9hCCq9H1JkjOUuUTYnLbDYbKryuNZLBUzgc5tatW0xNTaUVPzSaK1cihrczTywWw+VyMTExQXFxsSJ1n+wdVVJSgsViuWvBSa7jG8f/jaeffR6AlsZ6jh7cS+/ZixrLBdkTK7lsdfn6WAqXS1I8HmX39s0pXJ1sncnVc+kRoX/T249RZikVHMGm5gZdUFZUXExxURHOHY2YAAAgAElEQVShcBi/z4c7HI4DIS9du7fj8XiwWC1YLVYlI3Dh+kTaG41RpkYdMojo2avS3Ylr66iBj2DWfgZjYkwX8ADYaiuhzmQIRJJDXWIy0t1JBkMxWYdHBjCqa2UiX6szPY65Jf7gLfszrjE5cgF4ZGPdXISsSQXw6U9/mve85z2AlNGZnJxUjjkcjng5NnPIf+Pjx49z8+ZNKisraWpqUtrvJycnKS8v56GHHtJkkW4nNgDPOkIURRYXFxkbk974bW1tVFdXIwiC0oWRy7gdF/YEJ2eUT91jV0CI+qabnOURgWAggMfrZXddARWbGvj5lVl+eH7akNdzdSFMs03M2ocLjLM9uc7wRKNRVldXmZiYYG5ujpaWlrRWHenmygXgWW9pTC6/TU5OUltby8GDBzVgJtk7amJiIsVNXG2iebu/w91UlvvG8X/j+BM/ibuXS2Cm9+zFFMuFtYj6JRSP0xOVkyO9j5aWaCyKkvhg8nr0u8SMfbTu6d4HoBhl9g5cZHJ6DhAYGpkkGo1KP7EoYkziTIxNu9ne3sJvX72IyWxKASCCpSBjdge0YEezXwV8hsZdPPyeNyvHxJiIYEkFejLYUAMRQBf46Jad0ogNJm/Lny090JONwCGIePxBXaPTTFyeXACepaWlnPloTU1N0djYCMBPfvITdu/eDcD73vc+Pv7xj/OFL3wBl8vFjRs3OHToULqplHjhhRf40pe+xA9+8AOlmefq1atMT09TXV3NJz7xCbq6unKyfjk2AE8WIb/xY7EY09PTypO1XgfP7YATo1jPnHKWByROzo8HbimcHoDh+VVqamLaDI0Iq6EQDocDq9VKcVERt4JmGhsLVHPo6/W8cNGLGIuBDogwyvgYZXtyCXgikQjz8/MsLCzQ2trKli1b1l2Sei18ufQiGo3icDhwOBzU19cr5VJZul5+fxp5R4XDYQUIzc3NMT4+rgChkpISDRDKZWbyTsVaMlbfOP5vADz97Ik4MVlSOj7+xDOUlxSn6cpC2Td4bYTWpjogqfOJVDsIOfT2G/toiYZWEQd2bVPoJ/L6jMCRXiSumXq8pbGeYwYA6dSFIexmC10dW4hEI4RDYaLRKIJJwGqxcuLsVXyrYURBQDCZOKrTfZWpFVwOwZwnKSWrzEDVpOXkkEtZ6kxKcrZHDYxSzk8CPdmsUwY9j/+8l462xqx+L4CHHjhq6O6eKW43M+t2u9elwfPggw/y0ksvMT8/j81m42tf+xovvfQSFy5cQBAE2tra+Pa3vw3Arl27+MhHPkJHRwd5eXk8+uijWT9IHjhwgH/4h3/gypUr/M3f/A0f//jHU87NdVfmBuDJIiKRCOPj4zidTmpqati/f79hqvdOlA/W0qVlFLZKNQlX0Dyhi6Ikrre87CEaEXGsFNBjq6O+Dg1ASeb1aDI5SXYJ2VhUAHzi2ydT2tdzAXh8Ph9jY2MsLy+Tn5+fkg1ZT+Qqw5PtPGr39aampjWV39RhsVioqKhIedpT+/zMzMwoPj8WiyUFCCVf924QHpTBjnzTl8GO0pX1noTNQ7JCsRxyFqetsYampmbV+OxLVpl9tNJllUTOXr6qAaLZ+mj1Dlxk8Pqo/jUNiMogae6YBBOd29spKS3BbErchGKxGOFwmKa6Kjq3thIKh7l4Y5LnT53FZDZjNpk5vGerBMiBowbZneT48L1Sh44MDrY2lqe0hRuVkvQyMPJ+o9Do7pBdxubIrnYcc24QYxkBjAzepPO07u5Pfe3TGa+Vi1iv6OCTTz6Zsu/hhx82HP/Xf/3X/PVf//War/O5z32Od7zjHTzwwAP87Gc/4/z588RiMRobG9myZQvvfve7c+qUDhuAJ6uQv9jXe8O53bhdkiwkCMXyv7P+KJFIhMXFAB7PMudX8nnTjmY2bTJpyMuQyuuR96n1egRBoH98kWNb69dsUZHM7bkdwOPxeBgdHSUUCmG322ltbWV8fDwnQDSXgCcdWIhEIkxMTCg8o0zu6+t9CrJarVitVs2XoiiKhMNhfD4ffr+fqakp/H4/0WhUyvrFAdBKnLz+Rg01OVnm5SS2p2lp1Neu0bNmONq1F5fLqRqTuWSVvY9WequIgcHr5OWZNUAs65Lb1IykmmywTqPsDkhEZdeUK+V9ZTKZOHfDgdWa8IdqqK8nJoqEQyFOX75O36Xr3Jz10FZXjsvlUsiosrp0Xl6eMm9ydkUGBxdHprDm53NPp9YHyoionFziyiaOdLTxo5cv4PEHNYDH6LPZd2VUUVWWiMnpQY8WfEnjsmlLz9WDxOLi4hvaVqKgoIB9+/bx6KOPsmnTJubm5jh37hwOh4PLly9z7733bgCe1yOsVittbW1Zj5ezJ7kAKrcT6rKWHGdG5+naVMHItJsnzzr5yP567t9r59XxBcxmk2acEUCRszNqvZ7OhiKuuaMp11qLEanM7fmTY5vWDHjcbjcjIyMIgoDdbldu4oFA4HVXbU4OI/5LOBxW3ORtNltGnpEgCDnPtAiCgNVqpaqqSvNlmez8vLS0xMrKCjMzM+Tn56dwhF5PMPTBP/0rJqdmaGmUylAaYT5RlAjLqq6swWsjumrFkMaawYCHU15aQi/ZEphTAYx6PS1N9ezv2Krx0NNbTwLQqcHaJVoaGzh6UKe0liG7I4coighJhGmjNnRT3CjzrQeljq7Fly9QVlHJ+IKfrm2blJZjr9cbd6AXGHa6MZvNHOpol0qsljwEBI7ssjM7N8uNqWUFVGQDZGTQMzQxzUMPZNaBAaQOrtpyTXZIT2VZKbel6O6kgh51dmc9EY1Gc/L5uRtsJQA++MGEEOa73vUu4M65vG8AnixivY7puVaKvN165n5bGa9cnWJqKsh9m8t4edzP1YUIh8sTGjp6LerJIY9T83o2l5sQxci63NaT4+HvD/DF7sxGqaIoMj8/z9jYGFarlW3btqXoHeVS1fhOlbRCoRDj4+PMzc2xadMmenp6XnewnBzJzs8Wi4VQKERLSwurq6sKEHI6nYrwZkFBgQYEFRUV3XEg9MjxHyhg52hXJ08/eyIBeOQ266SuLL0SUTpOjEQYziwkqI50bejJ11OvZ3FxAUFIzy8yLHGlATuZsjty6LqlZ9GGbqutoGf3Fk4P3uTcDamLR245B+mzO7YQZN+WZkKrIXw+n8JTtFgshFZD7Gmr5/LEDP/+0jla6iqzakNHgLLigqxKVYkxsiqzBKoObmvR/fylkJzTgB49EvVrJTooh9vtzokVzmsV6ge3O5WZ2gA8WcZ6/LRyCXjkm+Rabxifu387//zcRdxuN7FYjPx8KzZbA16vl/rScJyTk95sFIzBiszrCQZNmgxRpvOMxoGkEfbDwWV63fqkZlEUmZmZYWxMahXetWsXxcXFuvO+EXy5jOZZXV1lbGyMxcXFNyzQMQr58yAIAgUFBRQUFGi+XGWPHxkILS4uEggEUoBQSUlJVq7P2cQjx3/At5/8CeWlJRzt6ox3ZZUkMi1nLwKiNhOSpitLDUa8Xi+vDFxh2es37MxKR1RO3a/ttFLWkwRsNGrHBvwiI20gozACO0Z+WcrxdbShqx3QZTf1nt1bODM8gdlspqS4BFQfXVEUCUfCzM3OEYlE2FpfzpXxaSqKrCnGq0aSC3IbuFE3ljqUjI2q5fzM8Dhb6xMPTukyNmrQk6vIFeBZWlpi8+YsQOIbJF4L+YwNwHMHYq26OWuZM1vAo85+uN0BKisrKSgowBHX0NlVV8CehiJuLMmt6Qu6ej3ZZGsYnWd7VR6XpgIaXs96QRSCwNDsKrZmNC3ssViMqakpJiYmqKysZN++fZp0v17kWrU5F4AnEokwMzODw+Ggra2N7du335VaOekeANQePzU1NZpzZCDk8/lYWFggEAggiqKiv6HOCGULhB45/gOeek7qxGpprFt3VxaklogA9mxrZ3xqgY+uCdSkcn0ytaFL4xP7RBHOXBhianY+tQ1dB6zJoZfdeeypZykrLaZ34HLKMcfsIh5/kF3b7Ir7udfrZWJmSTEIhczZHdBvQ08GPoIpT5PxkUMQpC4wwSRQUVlB//AEnZttIJi4MeMlFo2yp60Ov9+vfMfm5eVhtVq5PDGH2WxSQGK6FnSjzqwjHe2cvHSDwVtzvK2uTrW/TXc8JMjRP3pJEkR86IGjKWOyze5AbgHP3ZTheS1iA/BkGWvJ8Lyerenq1nk5+9HncSjH9XR45P0avR6dslY6AHRpyk9nUwkv3lzmeydH6Ggq17WyyAZEHbHX8Px5j7K/b2Sel4de5AsHCxT9mWx1ZHLJcbndDE8wGGR0dJSFhQXKy8vp7Oy8K4EOrP9pLB0QCgaDSkZofn6eQCAAoAFC0Wg0hR8ngx2AlsY6BbDI5OFJ13Tariz1tr7KMvzqpZOUlhrbwxiVrKS5s29DT973i9+eIbCywp7tW9bYhp4KwspKivjYe1KJ0yBld5IVlZ0uJxMzS/Sev8LQ5BzlJcWcvnTN0AA0m/bunt1b+NHL5/H4VxBMZkPhQHVmS13K6hsa56prSQEgoigSiUQIhULEYlF2NlcyNTWFKIrk5eWxvbGcyxNznLo8wtFddgSTkLHc1bXVlihxreG7w1ZbCTXiulrQ1ZHLktYbmbT8esQG4LkDcSczPEYRiURwOp04HA5qamo4cOCAUlLTIy+fd3jYWmHisL1O46El6/Wkc1tPjsP2Gl656kKMxfhQ1yZlnPrf9fB6+kbm2F6VR5MlwOiKiX5fJeZAjM9ty140L5eAYr06PH6/n9HRUfx+P3a7nerqavx+/10Ldu5ECIJAUVERRUVF1NbWKvtjsZgGCIVCIQYGBgAoKiriS994DFP8qX5TnKsjc3bkm76apJwcycBhreag2bShJ7egS3Nl12kFIg99+L1YLKnv+bW2oRu5qqcrZcnZHcEywtH9HSkO6Mngx0hkUB22uip6dm/WbSVXQoQzOgAqOWsjCAIWi4WBGw4KCgo07x0ZCO1tr2fghoMXXh2kw1aFz+fjwJYmvF6vUh5TA+hYLMb+zU1cdbkZGp+mo1X/76aOhLGptgX9yC77mrI7kBsfLdgAPHqxAXiyjLU6pr9WasuhUEjx8GpqasrKw0vyxprRzVYktHaQyDRJTzh6woOAosOjF+oyl/o8IwB0sLWSrRUCN5a8CDXV2FpamBpb4Oz44pp9uXIZa83w+Hw+RkdHCQaD2O12ampqEASB2dnZu0qlWC9eKx0ek8mkZHcA5ufn6e7u5hvHf8BTz56gsbYKx9QMsZiIx+tFAGYXl2iur+XI/t2cG7yquZkld0ElZ030si7pSlbJLe9yGLWhg3Hnl7wGeUzvwEUaaqpItpZI14b+mY9/kORYK1E5OU4PjiilLDXAUYMfIS87vqJsEArZqSXrEZVThQP1z8/Ly1MyJW87WE7f0Di/uniLHZvqKSgoIBwO4/F4CIfDismmxWJRMohiLCa5rIuirgt66rriKsyKyenomsEO5LaktQF4tHF3MCTvsngtMjzBYJDh4WHOnj1Lfn4+R48exW63G4Kdz92vffISBIHBmaCyrXY5t1UWJVrP3UFdB/TkcpWAwMUpv+aYDGo8wTA/Hrile5762l2bKvAHArhckv5HWVkZ1xbCmAQh5bwzo/N84tsn1+zEfjuRLeDxer1cuHCBoaEhmpubOXToELW1tQpozmXn2H/GLNEjjz3BD3/2AiaTwPT8Inl5Fv7w9x9g2RvA7fXTZmvi0N4OTg9cIhAM4vF4+dVLJznx29OM3XKy3b6JD737Xt3MS3LIQGbPNrviri7/DF4bUUpn6h+jMOq0Ov7EM4o7+9GuvRpA1Ll9s+b/sUx2Vs8nu6G3NGod39WxVqKy3JKejqjc07mdns7tOBd8DI27UvywkiPhhp4AMUd2tScUk1Wt51ccWo+/5JDLUX1D4zjmlrLz1Opoo6y4AJNJ4NL4DOXl5dTW1tLU1ERTUxM1NTUUFRURi8UIhUL4fH5ayi20VRcSCAZ5+dxVVlZWiUa1n109d3Tpd1tfWStXgGd1dTXnOjZ3e2xkeO5A3MkMj9frZWxsjEAgQFtbGzt27FjXTe+wvYYXL/mU18ZqyPMMuZZ1gYp6XHdbJSevT+se+9Q9m5X29eRjihP77CyroRCWvDycYSvNliCH22roX4N+z53O+GQCKsvLy4yMjBCLxdi8ebOhjkQuAc/rFa+X0vITP3uJk+eHAOmmvOz18ZkHP8DTz56QXsczHL1nLzLvXlbKOD0H9nDy1Qs0N9TSud3OwsKiogczNDKByWSm58Du+M3GrBB7ZXKxbB6q1tZZi49WJiXndErLamuJ9bah64UMdvSyO5rusAxEZVt9NT17t9M3OEJfHCAZtZAnu6PLoSccmKkNXc70ePyrGbuxQG6Xr1SyQupymiAISkZodXWVS+MzlJaW0NTUTCwWpae8gv7hcXov3yQai9Jhq8ZkMmO1WlhdXeXwzjaisahGlXo92R3IDeB5o6ugv16xkeHJMl7Pkpbc2TIxMcG1a9cUl++GhoY1rUud5ZFuWNrjRpmcsgKLxodLb5xgMoEo6h6DZGsLKVZDIabjlgbX3FFsNhtv2tGEEJ9PVJmb6s2pPgakzfjk4gvACKi43W4GBga4efMmdrudgwcPphXNuhtsGd6I8chjT/Bi3wWWvX7l77d722YFnChgZ+ASg9dHlJLV0a69CIIJs9nMW3u6qaysor6+nubmZhobG5hb9GAyCfQOXObXp/r55W9O4fV6CQQCbG2zsb9jK7u3tqUICa5Fc0cvK3O0a29KWS15zMWrI/SdH1QyO7lsQwfjUpYoigxOzKadF7RE5SO7NysgRQ1+QFvKMgo50zM0MY1gyl5+QxYZzMoTS6cNPTnO33RJAogdbQiC1J1ZWFjAWw7s4G3duygtKWVyKURdXS1D8UyU3+9ndnYWp9PJ1NQU8wvzOBwO3G43oVBoTZ/3XAKe/4wZ4HSxkeG5A5ErwCOKIrOzs4o1gtzZk4uQPwjZEIptVUU4FuO8HgQgldfT1VrJztp8JoPozqG2tjh1fZrhKQ9er5dj2xp4e309Z0bnNUwFkyAQE/Xd17OxqYBExketGXM7kQx4FhcXGRkZIS8vj61bt6aIHmY7z90YrzVoe+SxJ3j6uRfwB1fYu3MrtzT2EGKKdUSypYIR72Xw2ijlpcW8tadbc71TZy8SjUbZ37GVYDCoNAWYTCYCgQCH9nYQDAaxWq2KVEQy8FCvR6/zK5OthOyW3nOgE5PJZKAZFAdfum3o/4ey0hJdQOSYdePxByHJoFMmKUufl/W1oeuCHnOeYXZHE4LAztYG/IFAxqyNBmwp4oH65+iBIbXgoLokJooi3dtbDK8rZ6N+8spFKWPUqS2nRWNRHn7XIaXbcGJiglAohNlsTlEkt1qtKd9LuQA8fr/fUJvsP3NsAJ4s47XM8MRiMVwuF7du3aKiooI9e/YQCoVwOp2ZT84Qn7t/O584forD9hp21lhwJS1TD0zIpa3DdqlV3eEOKgaiSpu7irSsN4eI1H3gdLmwl5mAcqa9q1ya8nPYnqqlMzQforY21X19LQDoE98+CYAtf5WDB6O3LW4nd2nNz88zOjqK1Wplx44dlJaWrnmeux3wvJbxyGNP0HvuMsteH+22BkQN4E4CXUnWEZDgvejZLxipIwuCwJsPH1C2V1ZWaGpq4tTZi8pNKhgMsry8TDQaZfDGOHOLyzQ31PLbM+cwmUyYTCapNR4xTeeXljSt7e7aq/DZ0oGjowc76T2rBTWT03OUlRTzsffcr3uO1IaeVHY7f0XR4BmanKMw33pbbegy8Hn8532UlWTPJTm0s03SEFsIZiEc2K55rQd60rWhJ6ssI4qIiJhM6b/vj+xq5/GfuaCmIqUN3Wwy65r1RiIRpdtwYWGByclJVldXMZvNFBUVKSBodXX1tgHPep3Sf9djA/DcgVjvDU12x3a5XNTV1Wn0ZmSX4lzFmdF5lpfDlJcXrk0NeXMNjEi8HhCU9vX+8UWaLbGUOUTA5/ez5HazGooy4S/g6NZ6Ghu0betqF3aJX+QnpsogaDrCVJENABJMAv/fC9fIy8tbN89HFEU8Hg/T09OEw2E6OjooKSlZ11y/CyWt1+p3kMGO1FlVzMy8myWvP57dERUgA2isIyCRQdEX+TMuSyVnROTfs3fgkgYIqcdNuGbZsbmV/R1bCYVChMNhotEoz798CpPJjNfrwWKxYrVaMJnMhhmn1LZ4kdPn5LVqszvHn/wJ5SUlCthJbkM/ppP1AWOispzdOX1lhB1tTexobeCma1G3DT1ZUdko+oYn6GhvRBBMqtZtfYKxPGcsFrst4UAZ9EjbbZp/jc6R5hxjaHya3+tqz/hw1HdllI62Rul6SfYSRtydvLw8ysvLKS8v1+yPRCIEAgH8fj9utxu/38/58+c1HYoyICooKMjq4XsD8OjHBuDJMtaS4Vlr6WR1dZWJiQlmZ2ex2Wy6ruwWiyVnYoYycDhx3oMoQvJy9VrPNRmfzTUgoJS59ECHKIr4fD48yx76/QHetLMJmy1PF1DJas0SiJK2BUHg7Pgix7Y1ZCBVa7f1xg7NrVJbI920PvHtk8p52YAfuaw4OjpKQUEBlZWVt11W3MjwZBfd738IgGWvj/LSYkQR/MEVPvmh3+PpZ59P0blJto6Qw1jkzxjsaMHDJXxeHxOuWXZv36wBOrK4oT6B+SJFRcUc3LOdUCiM3+/D7Q5z8eoIc4tLNNXX8JveVzGbTdzTvZ++86kKyDKm1FOHLi8pVpSkNdfNiqic/j18aM82vF6vBtCcvqhtQ89Gcwe0HlqSRk1qi7cCUHbZCYVCCdFBFehRb0uv9YGTGsD86OULkkFoNiGKlBUXcGl8lrfV1GYcnmhDT4Cep7726eyupYq8vDzKysqUkrjb7aa7u5toNKoAoeXlZVwuFysrK5hMJk1GqKioiMLCQs19524xDn2tYwPw3MHIxBsJBAKMjY2xvLxMa2srR48eNXyyyKV6syxEuKuugImgiHNpJaVEBZmzJzAvCYTFbSma6iAmiqysrHLiwhgHNpXzts5WBibcWFQAzrhshpLp0ZEAMgQ1mdb54iUfMTGWcixdd5coikxPTzM+Pk55eTn79u0jGo0yMpLZTyhTvBENTdcadzrDI4MdOeRLvf9tRxTAodacefr//ApA1zoiW5Lv089JnV4SETo35qD3dO8DoKCgUFnPralZOrba6dq9nXA4RCgU5sRvexFF2LdzC4uLC/FskJXL18dY9gV0PLcu0dKUpg3dILsD6cHO6SvS+1vvu0sGOD/6zQAe/zyCOS9tJ5UeUTkhzJea7ZEzJMlu5eoW9ExgR3OtjnYe/8VpUsqeaeIP3rKP5/su0X91AgH9bJSeb1YmjZ71hNlsprS0NKVkrgZCHo+HqakpVlZWpLX19TE9PU1eXh6iKK7Jef2hhx7iueeeo66ujsFBCTQvLi7y0Y9+lPHxcdra2vjhD39IZWUloijy53/+5/z85z+nqKiIf/3Xf+XAgQMZrvD6x0aXVpax1qxNuhuRx+PhwoULXL58mdraWnp6emhubk6bRs2Vj1PyGg+2VmCrLGTY5TEcl65LCiGe8RFFfjkSxDE5yZ7GIkrLSqmpriYv/mHLptNKowEkCLiWV7LS78m0Tilb5DacR+7u+uaJq8RiMZxOJ6dPn2ZpaYn9+/fT0dFBYWFhTs1DcwUW7vbSWHI88tgTdH/gIZZ9kqaTBECkG2FLYx2Xr48z6ZrWqCk//ezzLPv8fPS978gK7CQ6prS6OiCBqKMHOzU/iICQvdKy+vq9AxeVHzl2b9/MPd2SD1xZWTk1NTWUlpbyrnuPUVtbQ2FhEWcvD/PvP3uB0UkX5SVFbLbVs6O9hc7tdn575hyiKOqvJ4vsjuHxONg5ur8j7cOarb6ahz/wNiC1Gys59Pyyjuyyq8T5xlLKU3JJK+W8jjYcc0sMTUynHNOLvqExOloblNdpx6pAzK6WGnpkbSAjjR1dN3R9vtRaIpvPswyEGhoasNvt7Nmzh+7ubrq6urj//vvZsmULo6OjnDx5ksOHD9Pd3c2DDz7IN7/5zbTz/vEf/zG//OUvNfu+/vWvc99993Hjxg3uu+8+vv71rwPwi1/8ghs3bnDjxg2OHz/OZz/72fX/0q9hbACeNcTtEJdFUWRhYYFXX32Vmzdv0trayuHDh6mrq3tdWgc/d/925QZ+2F5DWaGFZwYmU2whMgGUWExkcXGR7nqBIouAM1zIDXcMkyBkPYfesX1NJby7QxItTNbv0Tsv3TX2NBalfJHo2Vh4PB7+7399gT/74RX6PGWccEhO4HLkCvAIaVSp75a4ExmeRx57gqd/9gLLXj/lJcUK2JFIyvK1RA3YmYx3a33mwVSFYVnzRv2TTiww0fWVGp3bUkXkjHhATz/7PIPXEiAgWUzQWHNH4MyFK5wfuk5+fj72VhsfuP8Y77r3GNXVNRQWFhCNxgiFVmlvqsXpdDIzM4Pb7cbn8/HKq1JJb73ZHUh0ZRkBnty2oUt/06HxaQ3pNznDow5bbQUdrY1ZtaCDBJLUJS494KPYQCTxfI7ogJ6+K6NZZZfWG2vJyCSHyWRi586dfOpTn+LAgQN88Ytf5OzZs/T29vJ3f/d37Nu3L+35b37zm1OUmX/605/yR3/0RwD80R/9Ef/xH/+h7P/kJz8pca2OHGFpaYmpqal1rfu1jI2S1h0KGfDk5+czMzPD+Pg4RUVF6+rquVOhvoH/fldLXGtH/yaWXE6KRCIsLS3h9Xow19bQ0tJC3eKY6ktSv309W08tWYeno6lcKXOlW1e6a6RrwRdFkR3VFs6MzhOurKC5qZmpsJuBiSVN2Uu2vLinOjcZnlwCnuSb06O/vq68/r/eti1n17mTkQx2QGT3Nju3XNLTvExSnllwK5+fo12d9OpkOo4/8QzlpY1NRBUAACAASURBVCWp7uKZxAL1hPvihGCjhxKZw5Mcn/n47xuMTwU7+h1k0msJUyZE8c4PXaKoqJimpiYg4RfVd36Q6xNO7LZGfvnSKUwmE2aTGbNZ+rl6a4by0mKlC0uzpv27lOyOHLFYKuBRiMqdGdrQ44rLetmdlBBMlBUXaDg6RhmeZB5Puu6rZGCTDHqSQYsRqTnBzxnDMec25APlIrsDUidrroxDZQ6PxWJhx44d7Nix9oaNmZkZGhsbAWhsbGR2VtJmcjqdtLQkWvdtNhtOp1MZ+0aNDcCzhlirY7rT6WRhYYGqqir27t1LYWFq+/Var5/sFH078YcH6/jRkDf5KoCo23oO0gfS7/fz68seerbUUlZWztWFMIfLBYkTFBA5sqVWaV93DEzyoa6WNevpXHL56GwqUQjN8hiHO8CQyo09Gy7P1goT+2ylXJlZUfaLosjLQw7aS2OUlJRQWlbKzSWRw1VmZZ5kMCUIAv9+ZZnTS1eVY+vp+splSeuTj53iYGuV5gbRPyaJoR2yV/Por6/fEdCTywzP73/2vwOw7PWze5tdydrccs2w7PXHlZQlknJrY20SSTnJT8o1IzmjvzdZ8yaDWGAasHNk/27m5uY088h+XL1o5+0duKhr0plMpE7XQaasqWuvoRRFMsiaW/LSuWMrxw52IooSEJL4QSHODo2yqb6KPVvbyLPkYbVYsVgtWC1Wzl65IbmhO+bZvbWN05eu09O5LQ6iU79njFrUQQI+fYMjDI1PsctuMxwnhwxY/uCtXfFtqby1q6XaEGwpROEkXo+2DX1MM0azxiTtnWQ+jt5bWs70SG3o5akDchh3i4+W3mf/bhA53AA8OY5wOMzk5CTT09NUV1fT3d2ttJbfbsjE5VzOp840HLZXx53SJZAh83oO22uIRKK8eGmC7XFAcHk6SGlpKUdKSxWQId/I5fb1w8D3XhnJ2n1dfey3cff1lGMYt7PrzXNmdF5zc+4bmWN7dR5NliCjKwKuUCFHKqvoqSQjeOofW6A5X9sqr84AyefJYQSG1goWvnliOHHNkbg0gCpeHV/gUHti36H2avrHFugfXVBAD7zxsj2PfOdJnn7uhfiW9PeYdM0wu7Ck3Hg+8+AHNPwaVxwA9J69qOHyyFkRfeXi7FvQ1fsHr4+we9tmTp+/TCAQYNSZUB5OT2A2Vk7OpoNMPUZrKzGqMj1NckJvrFdKWYIAFkseFktevJuniKMHOhERiYQjhMIhwqEwgUCA1voKrtyao62+kh0tdVwacXDy/LDSIPHWbkmJOdsSEuY8Otoa4+cYOKGrQl3KksHIuZsuurY2p47VMxc1aF3P1IauLm+px4piTFeDR25Dl4xEE07okLvsDkiAJxdO6bkCPPX19UxNTdHY2MjU1BR1dXWAlNGZnJxUxjkcDiXr+EaODcCzhkiHYGXrh/n5eWw2G+3t7VgslpyBE0iUyXIJeP6wq47/uK6VR1ZADwKTCz68Xh87ayyMiVaamyU7C0EIprSvtxULdG2q4IIzkTXqaC7PqNKsB4AEBC64fNxbWWmoD6TXzq6bLZrys7e5hK2VJs6OuxGqq7G12NgkmNbc7j48F6LFlgqI9K6rboGX55LHTk76efTSK9K2CsAkA5ozI/OGY0RRpLu9mjMjc5wZnQNB4FCbBCyTQQ+Q02zP7WZ4ZLCz7PVTXlrE7MISdVVSuaC2qkICMqKY4OnEgc3l62O8cu6Kwu9JBgtGTuR6ZazB65LKsp7becLGoZNIJMLCwgL19XHu0NlLBuBJXxxQr2Qlj88EjjweL+NT85r16EU2mjsCAhaLRbqhxnUAT18ZobSklIO7txIOh+ncbCMcDrOyssLQxDQvnD6P2WwmL78wbXZHHZo2dAMn83Q6Oi+dG+b8yBRv2rs17djEOeoSV3bvySMd7fzopXN4/CsgikoWJxYz5g+pfwep02yUp772mayul23kKsPjdrtzAnje97738f3vf58vf/nLfP/73+f973+/sv9b3/oWH/vYxzhz5gzl5eVv+HIWbJCWbzv8fj+Dg4OcP3+e0tJSenp6aG1tJT8//44ZiOZyvmg0qtl32F4NIgQDQVryV6m0QmFhIY7VfGZ8EaVckuy3BVpuiqbzqqpIuWE73EG+d3I0ZQ455PO6WitS8stGXl8yz0cuQ6nHHmytJBwO43a7MZvMkgP7YgSTKl2fLRF6LZ1ietsp822WtD5kUKOco9qW/25q4CMi0ndzjlgshiiKHLLX0N0u/X/rH5snFosRjUXpaq2QMm4j8wo4efTX1zUcn9c6HvnOk/z+Z/8HTz/3ArMLbspLiwBBATsKiBL1ScozC26FpJysUpwckhP5T5h0zeh2ZO3eZlc6u9Q/gDaLIkpgAUhRNE6+vhrM9A5cVEpxyfOnA0fq43u2tcc9txrW3ZWVkah8YBdWq5Xi4mIqKyupq6ujrKyMY/t28uau3YzMeHDOe/jtuWGcTicul4u5uTmWlpYIBALKd5JuG3oazyojN/G97fUIgrCmNnQ5SyN1cGUGPX1XRrHVVvDQA0fi29L6JP6QKWWs3trX64aeLnIFeDweT4rSc6Z48MEH6enp4dq1a9hsNr773e/y5S9/mRMnTrB161ZOnDjBl7/8ZQAeeOAB7HY7W7Zs4dOf/jT/83/+z9te82sRG4BnDZEs7HT+/HmuXLlCfX09R44coampSXk6uBOO6bmeUwZQiqmoKAE4r9fD6Zuz1NTUUFJaQl5eXrxlPLV9XX1DH5xZUbq+kkMuc33o4CbKCjObkZri5qZraWdXx5Brmd8M3sLpciKYBCb8ksrpERlkZDFvpm11diubbb35ZNCT2NYCHPW+vpF5YjGR7rZqREReHVtULAzMZjNHttRiMpkYmFzCbDJjEkx0t0tPef2j85wZmSMajXJmZI5PPnaKaDS6bvL0ejI8j3znSXoHLjM5Jd3U860WQGDZ4wOktnP5X+nmLioAAKQsTX11ha7AnxooyD9yVuSj7327bldWulCPka0s9BSN5Ui+vjROMgdNJjBnC456DnQiCGnKbnGwc7uaO3ohd0qdu+li9+YWHnznMYqLi5l0rzCxGKS8vFxxFl9YWOBE/yBer5ct9eUsLUtAKBwJIyKmEIYzZWxiMZGD22wc6WhnaGIGx9xy2vGqVWfdhg4qFWZVN1b/1XFNhifRwXVn2tCTI1fGobFYbM3zPPnkk0xNTREOh3E4HDz88MNUV1fz4osvcuPGDV588UUlayQIAo8++igjIyNcvnyZgwcP3taaX6vYADxrCFEUmZubo7+/n7GxMdrb2zl06BC1tbUp5a5cZ2PuxJzyfKIo4vP6cDgcBPwB3rLLRnFJCdZ8q8K9AVLa15MzLck3QSNQYasqimdkFoDUMqHcpbWrLl/3mN6c8nbXpgo2l0FzscCcP4orVIjVYmXGG0oZm25eo+vsrNGWE7PNCiXPNzwf0oxLl9URRehur0YURcXU8bBdAkr9o1LZSo5D9hoEJF6PyZwAQoIg4Fpa4Qd9EwiCQHdbFY/++jrfevEa4XCYcDhMKBQiEoncFhDSi9//r/+D7g88TO/AZQavSzcQST25hGWPpKLc0ljP5Xgr99GuTo4/8YxSCpJBSu/Zi8qzuxokJFrN1VkUwTgronRlpZa/DD2r4m9TrUeXlC06/sQz8WPaTFE25qDJthJacCRy+fp4ynXVsVb7COW4ormzS/e4uvNPLmUd2b2FI7u3IADnrk8yOD5DZWUl9fX1lJaWcv+RvZSVl5FnzmNldYXFhUVcThcul4vNdSXsbK5iYmaRK+NTaYX6RFHKsvQNjdPR2oCttiIjSFLzcdJllcBYOPDIrnZEUeTy+Iz22B1sQ0+OXGV44O4gEb/WIWR4SvvdUjW7zZiZmcHhcNDW1pbRR8nn83Hz5s2M2gdriYmJCcxmMzZb5g6IbGJ5eZnh4WGi0SjV1dX8fDyqfNjkDIxMZJZfJ45p3xqH7TW8POSQvIZ2NsfHzafNehy2y2akAQA+1NWiHDvQUs78wgK3Anm65yXPGY5EeGXYRSQSoWdrHSUlJfTHx/oDAZ69NEUwAh1N2i4LvXnTXWdychJXuDDl3HTbevM/f36E8vLyxDkjUheQmqvTNzIPcZ4OwKtjWmAjR3/8eodU4LR/dJ5h1zI7G8tV51SnZJfkz78oivzXe7cqT4fJYTKZlC9Qk8mEz+fj1q1bdHQYu2mrScktjfVKZmfZK4kKlscNJaWOrGmFtzMZb0VX2ybIJOXykiLKyrSyDnq8nd4BI55NZrCTfN4r/ecZvDZCVXm5pgNLakk3EjjU3y+3zCeTq/X4PLFYjBO/Pc0733pMs3aQzEE9Pj+7t6UqHU/GndB362gHySFYCwzBDsDCwgLDTjd5eXnG5qGDN6UXGdrQY2KMcChMKBzi7DUHsfh7bPemGoXnKPuMmc1m5ubmqKioYOCGS9ONBcZkZIkg3ZayT45k/o3RPH5/gP6rExQWFCht6K9Vdgfgxo0b1NTU3JYtRDgc5u1vfzsDAwM5XNldFYZIb4O0vIaora3Nui6aS+8r9Zyrq6u3PU8kEsHhcCgs+8OHD2O1WnnekTAJTAY66hKUFAkCssMd5DCw31bGeUdqySttV1a8m+vHZ29prnF2YonWolQz0uQ5e2/MMjs7y2ooxKH2KgZnVyhVgdEzo/N0NhZz35ZyRj1acrGa7Kye12jtZ0bnabKg2U4+rredPB9ImSK1U/3hzbUS+XhknkP2OCG5rYr+sQVeHVvgkL1GATn9o/P0j84r24fsNfF9WiBaVmhRtuWx6t81AbKkDND/ell66u+75uR/f/ZeBfzImSUZCEWjUVZWpPJlNBrVAKFHvvMkgFK6klvNB6+PgkBcYycV7AAK2FHzZ2TSskxSbmusoampOX4sFSTI56QLfbBzSWkRTz7fMTXLltZm3v6mHv35DInSWr6Occu8fiboh8+9QDgcTvHugvTmoL06Tujq+PcX+vAEJWsI0G81vzg2Q35+foY29C30DU/E29BTu6rkMAkm8vPzOT8yRWFhoWQvMTTO+OIqsViAzrZ6gsEAy8uS4WokEuHyxBxmcx4rKytYLJa02jtGmRw97R297I46YrEYB7Y0U15exuPP6beh3ymwAxJYud0uraWlpRSD0o2QYgPw3KG4ExyevLw8/H7/us8Ph8PcunWLqakpmpub6erq4sqVK0rXl+yxpQ5tS7n0WtO+DgyfHOWZgUnesb0y0ZaepcCgHLaqOAcnLrTmWgrQUmg2PC8UJyL7/T6uRQu5Z4cNARBmV9K0pQspIEQtaihr/Hzqns1pu7BExIxdWusBQYfiGa++kTkOtVfHS1c1aQDOvPIaYHhqmbKCPD7YtUnzN+8fmdOcL69Pvr4MfMRIosz2rV9pjSw/927p5h0MBpmYmGBpaQm73c7/890nEUU4rQjaiQgITE7N0tJYR0ujwOSUdKOXwZca7Mj8GJm304uoEfOTNXk++h4p2+NyxdvSDUCCugU9GbjIXVl6gGjSNW3YBRWNRNnRnppVNV6DxB9K8b8ifVeWenvSNYPH5+P99x1TusOUc9IQlXszlLL6rozQ0lirye7ouaEDHNqVhXAg8PB77klq8zYuAclEX3Xm5srkggbATE1NYbVa2dveQCAQIBQKEY1Gaa3Mx2q1MnhrnpOXbnJ0dzsmk1kzn+41423oP3rpXDxjYzxWbkvvG4y3oZPahn4nIxclrTutwXM3x0ZJaw0hiiKhUCjzwHj09vZy9OjRnF3f7XYzNTWVtoygF6urq4yPjzM/P09LSwvNzc2KN9eZM2fo6Uk8uWYDeOTXkChzPTMwSV1xHuFIhKKiwoylrEzHvvfKCPmmGJsbKuMASzoWCoV45eoUsViMY9vqKSwqUm74RteIRKNsKZM0JdJdE+DHA7cUAnSi1LZJGbvsWebte+0IOtYZ2ZSy5DFNliC2Fhv9owtSp1WcowNy6UpIKVElhwRwLDRXFiljE+UtLZeoPw5q9I71XXPidAfwBFfZ2VCm7D+8NWFOGY1GOfGrnxMOh+nZ1kRJSTFy5vipZ18AxASAEWFyehZbQx1DN8YoKy3G4/VTVlLM3MIitdWVbGqs5/L1m5SXlChg5+lnnwdIlI3ifw81CHG5nIxP6atuJzJKiTKPLCiYAELZl7JAIiof3LMDj8dDTU2NzjnastSka0bl4p7aRZZOc0dZc9wc9NDeDhYXFxXtE8hMVM6U3em7MmJYypKBz/DkPIX5Vj583+G02Qa5K6tHZSCaqQ1dDzQkZ21OnLlMaWlJyhyxWIxQKEQ4HObsdQfRaDTO9xHYv7kRq8WCxWrFarFg0rFnePxnvXS01sfXoQ/KlpaWuDQ2jdVi1YyRQU+u29CT49y5c3R2dt4W6Onv7+fJJ5/kO9/5Tg5XdleFYUlrA/CsIV5vwOP1ehkbG6OzM3OXCUhP42NjYywtLdHW1kZDQ0OKxoTeGj9xvBcwLmsZAaBIOMJqaBV3SHq/qTk56wFAz58fpbxMugHfWvBRmS+ys8ZKZWUll6b8HMmCcwPQe2MWe2mMhoaGrNaj3v7eyRHKCi0KCBqZdrMaE+hoqtBkddbK52myBmlujnOdRlLH9I8u4HQHaK5MqHPLAEedwTHi78iRDvjEwonyaLKY4ZkbEt8mJopcP/sKy8tLlJoibKotU9TwJqckIb5lr58//fgHAHhKzdlxyZwdH2WlxQqAsTXUKnyeD7/7bfSdH+TK9RHKSkv4WBJvJ1lV+eb4LVZCYXZvl26yWlBxSV8x+TbADkDX7u14vV5dwKMX2fB5ZF8vfT6PdN3uzp243e4UwJMO7IBxZ1ZfBqIyJECMP7BCUZFkmHtkl74jet/whAbsKPuTQE86sJM4RxrjmFuivMDE2w9n/o770csX8ARW2NlSy/7NjYTCYcKhEKFwmFgshtlkkvhBVisXR6cxm030xK0ipPWkgp7FRTdXJmZ5075Uvao7WcqS49VXX+XgwYO3RTj+1a9+RX9/P//8z/+cw5XdVbHB4clFrOdNmM51eK2RbZeWz+djbGwMv99Pe3s7O3fuXNMaEuWXBV3QY1Tm6r0+y+66Aurq6/jXk6MpwGKtZS6ASDSCvVTE6xW5tRyltMSKY8qPgH72RG8eQZBa5hsSCYuM/Bs5PnXPZs11WgpCTATylDkgwQWSY8i1jMMd0GSKZDsMadvPZd8KW5ad5OXlSV5HUx5c7iDNqvZ6z0qYZgoNS1nafQmBwWSuj3rfoc21nLk5y7DTTWm+OVFKTIqD9lqWl5c59fKvaawo5CPHtmveQ6cGLtPSWMexg3s5NXCJp557Qem8ApRurPKSYhDi30CCQEtjHbdc02xqagBR5MyFQSanZti1zU7P/t3E4rpQp89JN/1TcaAjxP9TX13JO++9J2W9GXk7Bjwb6Zgx2Dna1cnq6iqCIKhsJW4aEo/TXT/ZAkNfZTlx3VAopPmbZ1PKuh2wI0dP5zamp6epra3l1eFx+q6MpICedOagyUrGIGQsB8nZncd/0Ud5QXHGNQLx8lQrfUPjXBib0ZaqRJFoPCPUPzxONBplR1MlTqeTtupChhyLvHz+KmazmaO7NysPghduOnMqFrueuN37Ra5EB38Xw/zVr3413fG0B/8zxlradaempqivr1+3+21yCIKAw+Ew7NKSu65mZ2dpaWlh69atlJSUpP0ATU5OakzgQAI2TncQpzug/OtZiWCrLMJWWYTTHUx5DeBY9ON0B7E3VLAaieF0B/GsJHhM8jhp3oBqjkDKseoCAWvYx5w/ynZbLdtstYSisYTWPhKQ8K6E085jqyyiqbyAsdll5gNR3bHpzk3e9vl8LIWljiVZ/ycUicX/btL2/k1VeFfCynZHUzmhSAwRqXS1o6GMlVCEWCzG9qo8ioUQ7eVm/GFJMHBfcwm2qiL2t1bjWgrGMz3SWprja9XfF8SpAk3NlUXKsTMjc3gCIZyLEgfsPfta6GiuxFZVgnPRh3MpiHMpiMMdoJgQL/7q58xOu7h3r522+ooUsDM5NUt5WQmTUzNxvk49ddVVeHzS/FvbWlhdDYEgUhC/gchgRwDKS0viit1QUVbCPQf30nvuEo7pWX75Ui+rq2HKS4rpObCHlsY6bPFzt7c1U1qaIKWrgUi67E5LU4POsYvxY6neV794qZe66irp93PN4Jyei5d3ROpqqnj3W49p5jQqWT397PN4vH48Pp9yvKWpAY/PpwvCJqdmFAAWjUYJhUJcGL7BL397htVQmArlb679uTIySV1NNZPTc8qPrGsE4JhzZwQ7Mohpqa/G6/VSUlJCS301jlk3jjnpx1ZXpVvKSg5bbSW22kqeP3uN1UhUsZtIf/1xaitKCK2GmPMGDY06IZERstVWYKutwDG3hGNuKXGOIGAymbBYLEwvennT3q2UlpZSWlpGYWEhTdVl1JYVMznrZtQxQ4EQoX9IAkb7tzQhCAImk1l5378W2R0Al8ulZH7XG6+88goVFRV3jTbOHYivGR3YKGmtMUKhUNaCa+fPn2f79u0UFek/Ra81RFHk9OnTKSWoxcVFRkdHEQQBu92+ppbG3t5eenp6dEHRN1+QFHnPjEq+WjubytKWuaKRKL+5Msn9e9vi58ldV3EzUtKXuQ61VxMMBjl1fYbd9QWEQiGmo8Xx+ZNLRNWcGZFsJdK1moOkYeNyOnGGCrIuPRlttxZFqKqu4vykJ+vzRUSFzH2ovVpS7RVQ9HMOxdvOw+EwZ0bnpafRaon0LghwfTGK2WzmYFsVVquVvDxz4tzkklVSiUsmJEst6mWaNaojJsbwLHv48f/5GQG/j1IhhK1aK70wOTXLss+vZDeOdXXGwc+Mpu28pbGewesjlJcWx3V2JJ7OpMr5/NjBTiV7o1HUjr8+puqkiokiL50+y8rKCof37Yp3oEjjTp+TyNU9XZ3K31V+LyeXstRZIKmcVKwLduRSnEyUXllZIRAIcHVsUjOfOpI7xtR8nkzCg4n98vqk3y0SkQBPUVEhCCaOGWSplOxO157EvvNDyuthxwLlJUW0NNbR06lvLaKAmPhxl8tFY2Oj5nuhb1DKEg1NzvPw7x3TnUc757j0QqVcfGRnW9qxRzracDqdTC6HDccnOD+tuvvleUAtHKh/XWnMGCLgmFnk2PYGCgoKiUajhMPSd31eXh5/8sARiouLKS4upqioKGcPseoQRZGzZ8/S3d19W/N8/etfZ9++fXz4wx/O0cruutjg8OQqwvH6cDYxODhIS0tLTlsEZc6NKIrMz88zOjpKQUEBdrud0tLSzBMkRX9/P/v379clJ8qAByTwInNKEl1a2rKWGBN54dI4ZWVlujyfZwakG4aal3I43oJ96vo0bcWSDtCoV8BsNkvEXpstxc5CAksJM1JAeacOuZb51D2JJ88z8fKPI0v9nEyE47biKBWVFeRb8w0JyfK+vtE5EFHUjl8dWwSS+TZa0KPZZ69GFGOEw2H6RxeIRqNsq8ojGo1gMpm5vhjBbDbT3V6N1WpROlZ+MnALTzBEaYEl/v9L7cOV4PCAtDavx4vH6+HKhQHy8/M5sqWO5Dg1IAELGYiciosIyqKB8muQRQWLQSRO4LUz6ZRay//04x8E4H/94MeUl5awqbFemffUqxc01xCBQCDAb88MkGfO495jhzhzQSrriKIoATCvj13bNkujVd9Wk1OzeHx+dilaNFI2Sd29pV/KSuX0qAFPOh6QXmTL51GTneXjKysr+P1+rk24pL+L3rV1wI465Bv+0f27OH1JaymiBj99wxOabZfTJZlBJt06+oZv4Zhz01JXnRZESGPHNaUsBajogZjhuPmnCE6Xk+bmZi2AUZ0jGYW2psyRcp2OtrSaO+o4HXd531Rdytu6d2M2SyBNFOG/vO8Yfr9f+QkEAsRiMQoKCiguLqakpEQBQkY+XNlEOBxmcHCQ/fv3r3sOgL/6q7/iQx/6EPfdd99tzXMXxwbgyVWsBfBcu3aNmpoaqqurMw/OMk6dOsXmzZsZGxujtLSU9vZ2iouzq3nrxblz59i5cyeFhYW6x41Aj1xS0WR52quZdEziChcZdnOpRQsdiwHqSiy0l0S5thilsLCAo1vr4+Pm8Xg83NfZhslkMiAaax3YQdLzAVKsJposQVpaWtKCmmyyPH6/n6Pb6inILzAkJEtARcrq9I8tIKg6rtRgRo5MoCexL8HHicWkp/9XxxaJRqNKx4psM9G1SSJ2m80m3YyOKIq8MuxkdXWVq2d+TamwigB85O1HUsbKJSx1CUfO6sivQSsuKGdqWprqmHROJzJCZy9xyzUFwIMqPZpksPPS6bMEV4KMOaapKCul1ZYoiSig6+wlTSZI/r3kYz1deyQclPQd13tOEiWUsxcanoyKKC1HMBikd+AihYWFaYnHkNpergd4jFSYk8cGg0F6z12msLAwbXbHCOyABHj0Sllq8CNYJEXzFMDTrHW/7huWPls9uzcrxF/Qz54oGZsk7o4e6FFnd8SYyNT0lMZ5W32OUXYn5fpD4wyNuehoa8ga8BzZZefE6YtSyVQQ6NllNyxliaKoAFKfz6cAIVEUKSws1AChwsLCrIBQMBjk5s2b7Nlj/P8zm/jTP/1TvvSlL902cLqLwxDwbHB41hjyjSybWF5exmw2Z1RlziZisZhi3Ge1Wtm5cydNTU23TbCbm5ujvLyc/PxUGwdQl6UkEOFZiXDYXoNnJcywy8O+TZUKl8e5FKTUHMYbsxjyfJzuIIiwq76AObeX0cVVrIXFvKWjGdfyiobbMzazRGttGSaTKSvej8yX8a6ENW/5Idcyq9EY84GoMj4dnyjd9tjsMjO+MJuqS1OOi4g4FgM43H6aKwoRELBVFaXwavS4NvLfL/O4+PWqSjh3a5m8vDwsFgujiysIZgvv2NNMQ1k+4UiYckuMyQUfo9NLjM95TAoB0wAAIABJREFUuLXgo6bIjD8QYH5+HtfwANaQh4bqCt55cDtLS24mp2aVn95zg5waGGQ1FKalqYFjXXuUYyBQXlqcADhIWZWCfKsu2EGUSkW3XFNsaqrngbcmSiJP/vSXSlZo7JaTqzdGiUajFBUX0VhXy+/ddw+bmhqUH5AADaBsyyFxei4jCAKtzY2K15ggCAgmgd5zlxAEQQJrogjxz7MYd2YHFCCnLo3FYiJvOdIlZWNk7oxrhq3tLQqfRwaE6VSWV0PhFD6PAhiTfpfT5y4jxmK85Yg+FyMbsCP9PqkZu5b6alrqqzkzPIFj1k1ddRW2ukQp3Ov1UpqkaO2YX1Z4O7a6Smx1lancGYzBDpDg28wnfuD/Z+/NgyPJz2rRk7VXqaqkKu371tqlVrfUrZa6Z8bjGQ9cY19vmLENj83cwI5HxMOAw2CIIAAzERjiRjjABnxv+AJhjIcx2OALNh4vs3SrtXdr31WSSvtS+55Vmfn++GVmZVZlLWrVjJmhv4iJUeVWWdVS5snzne+cJGjiWA7hcBhmiU5Lug/ZNjvYAYD9Uw9i8QSsJj05v4rMbf4xvlVXV2GDUcWg60ojz2LZMoqtKYokz5tMJpSUlKCiogK1tbWoqamBxWIBRVEIh8M4OzuD0+nE4eEh7xsWEv3ZNBqNDGxHo1EEg0GUl5crvme+9dWvfhXPP//8f2XzwccankKVkDWUTzmdTnJxTREFX6QYhsH+/j729/dRUVEBl8uFwcHBS7txCrW8vIzq6uqsup9Ulgcg7Iq0RSUwPTXaMM+kKHj2NJciGAxibPMU1+ossJWUYGbPJxPgkmMTRuIHczswmUy43VbBHyc/lkdpW5/PL46473vC8EfiYuvrIq2t8/NzrLqIG2q+rausrM4FmZ5JxzkvIo+jq7pYMWIi9bgcxyEej2N07RjxOI2tzQ3UqgOgAPTXWqDT6cT/BG3CKK+NucOzHckWFtHj3Bm8ihf/7fuQFhlF53U6PNgRlpNi+WP2i/od58ERfIEgPv4z/x1utxscONjtdkzPk1bNnZvpzIYAdlLZndzr5vh1kmBQjlgfjk7PARyHkYEkgBD0QYtrm7jSWAuDwSg7bman57k0pkfUBWVwWVY6zmsTD9Df0ar4t3mRVla2Iq2sDlGfAwDDvS1pDI+U3Ul/Lznbk9rKyvjeyztY3j3Bx999S1yWSCTgcrnSzBYB4P98ZxxWkz6neaBwTgIwyjaGLoAd4XwPDw5Qw4uGf6OAQmWWZRGJRGStsUiE6BpNJhOKiorAcRwikciFp2pT67nnnsMPfvCDgjxov0XrcUurUCVYn+dTR0dHiEQiaGm5uENnPB4nuU2HpJfe0NAAjUaTswV10VpfX4fNZsv6VCEFPICSASH5NTnwhGFRxfHc9RYZMOI4DvdWj9BkZmA0GrHhJUnMqWBlwkFytQKROH7piVacnJxg0wfcaU+2ucgx07U80uMobfvyQweKi63y9ZLfbkH8nMtbx+VywWA0YPE4kta6utVcJv6ppQOVRwM9k9surBz6YDVqUVti5Lcvy+61I13XXIpgKAiv14tV5wkMBgP2j89QbWAAcGI7TPhvfX0dJi4GSqVCXVU51Go11Gq1OIl1Z7BPMoIuaHZCvGaHE3UoSc0O8ecZnZ4l4+jVEhaD48CwDDqaasEwDOw2OwwGQxKYvMFgR1ju5KMr+jqSzsLCv2ssFgNN03jq1nUYDAZxvQCGSPuLkrBBc2LoqVBCCysfsbO4/MECdvaPUFVml70vQCau/KGIqE9SAjWZWlmybUShctJdWQA+gUAAz43089tlBjvy99zGsvME3Y2VeQKeXZEdEsBJnI7D45V7D5FtdwAAw12NuXO1BIAjYYJkoEwCfIRWllAC4Ckk2MlWLMsiHA4jFArh7OwMwWBQfOgQgJDQGjMYDHkBoSeffBIPHjy4lJ7oLV6PAU+h6iKA5/z8HC6XCx0dmfNoUoumaezs7ODs7Ax1dXWoq6uTTQQsLCygsbERVqs1y1HyL4fDAZPJJJryZapMLI/853Ms7rnRW28Xp6hiMRrNZgZbfsBgMGD4Srl4jFThsQAwvjnjRK3NhFAoBL1eD41Gk8OoUPk40m2F0M+M+hw+xFTqneOPxNMmwNpsKui0OiyeRMQxcwqUKKzOBmiyARxpKTsop7M/ZLmyszJAQGY0GsWuO4yOEpJ1lb4dqbt374k/32yvA03TxMNknoTLnri8qCq349TthYpSob6mAocn52JWVpLZqZRodvowOjMvsjh97a0iGLk78QCRaAQ9Vxphs9lgMpLvPRXsiJNcAJyHxOgwtY0FAM6jEx60KN+UF9Y20acQtCmUFCRxHIdgMIh7Uw+h1erwzJ2bUKlUEn3QHDgOPBvET4vx02qCUFoKhC7isgwAe0dn8AVDaG+ux/WuKygulo9nj0laWffFSI9kre67YbWY8PxPpPsVCaUEdqT1/bHZ5BCEWpMT7AAElJD2EWE6c+tsdsWMLKGut1Yh4A+grDzFDXx5B8NdjbLXQslytRTAjuw4EuDDcYRxFAEPx5EHzDcR8Ejr8PAQLMuirq5OBEKCPigUCiEajUKlUolASPhPCoQ4jsNTTz2Fhw8f/ldOS38MeApVLMvmnZHl8/mwt7eH3t7enNtGo1Fsb2/D4/GgsbER1dXVigh9ZWUFlZWVBTOWcjqdUKlUeSWwp4IeJWHyD+a24YurUW5S80CHwpNd1VCr1Tlcm9OBTDgchlarxeZZGF052ZfMx7nVUoa9vX0c0AYxnyp1PZDueJxqgrh86INJS6HUQPr3W66ozIVZ8CsSxr8BYOXIL3utvI3goJxsfeYCR/K2l7yVFQ6H4fF4se6Ow2Aw4NAdQI0l6TF6s04uchfAjvSGcv/BIhbWt1BsFka3ObAMC+fRCapKbVjb3kORUY/K0hKcun1QURTqqiugVqmgoijxkuM8IJodQXTLMAx+NDqBRCKBp4YG8HBlQ3Z1WljbQl+nPMPpzo1+CXtzDUo1OjOnyOwAEhClMJWVZH76wXEc/915sOLYg8FgwJND6e9H2l/J1xw4wupUV2Jk8CpZwqWMzQ/08Tcg4hu0tK4sdgYIu3N7sB/BYAAsy8JqTYLusTxbWZRa3vJOHUcXWlmKJbnx/813J2A1G1FXYc/dRlpOtrJyiYvHl3f59U2SZTtIJBLoqi2RDXpI2R2l95QeR9rKylbfeGUG/lAEH5eM17Msi5OTE/zpr/98zv3fiHI6ndDpdFkfPhmGERkhKRA6OTnBiy++iI6ODrz88sv493//d9TW1j4S6GlqaoLFYoFarYZGo8H09DTcbjc+8pGPYGdnB01NTXjppZculej+BtdjwFOougjgCYfDWFtby6qWD4VC2N7eRiAQQHNzMyorK7P+km5sbKC4uDiN8n3UOjw8BE3TaGpqyrltJpZHeD3UbMPe3h5WXQl4aQoNZRYc8kLcXHlcSkAmEo7gZrMdiyeRNJ1P6rbZWB4AqNXFUFNTjakdd/bR8610/Y6QXs5xHCYdLlytNoGOx0HTNOYOgwAH9FUZodPpsHQag1qtxsiVcoCickxb5dneaklldZTYHg6ja8fYc4cQjrPoqrbybUP5k/KYxCHXMT8Fn8+HIi6MurIki+DkRbQN1RW4PdiH+w8WsLAmjKBXYFH4uaYSi6tbsJhNeN87R/Ctl18Dx3EotxWDoiio1cReYGSgDxq1Bq+Nz2D/6ASRaAx9XW3iVUkAMblaWdnADjlOllZWDrATiUTg8Xig0Whgt9sxMbuYdrzR6TksrBKX5YaaKtn60em5tPPmOA6j03MYGbhK2Bz+aipMuI0M9kEYlxeu0WMPydj97cF+BAIBcBwnsrm5wA6g3MqSTmSNXG3Pye5wLIvj42M4fYTJHu5tyd1GUoiPyOyXkw52hLo3t4FEIoGnBzvlx1AAO6nvI4jl8wE8YxLNknDeTCKBn+ityTu6p9DlcDhgtVplESb5ViQSwczMDB48eIC/+Zu/QUdHBw4ODlBUVITu7m688MILed8zmpqaMD09LTuPz3zmM7Db7fid3/kd/Mmf/Ak8Hg8+//nPX/g836R6DHgKVRcBPPF4HA8fPsTQ0FDaukAggK2tLdA0jebmZpSVleWFxnd2dqDVai/txinU6ekp/H4/rlzJLxlZCfTcbLLh7uohYjEaXWUaVFRUYvYgKAKZTKaFwjEygZXXlvYx2FAMs8WSxrasHPoUWJ/MoKfeQKOiohIzTk/aOtlrCcvD8a+TrStgUtFL5xzX64tJGygWw8N98mTeVU6CDFfO41Cr1Ri+Ui62Jy8KerIt76sy4f76MVQqFQxGI9Qq+e9RahvstR8lxca3WuTarVHB/E5gaHixLQUqOZ1IITmJVU3Yn73DY/j8Sc3OvamH2D0gGhQh7frM7UV1eSluXu1KCqW1OlAUladuR4FtuSTYudHXCbfbDYqiYLcTY8fR6dm07QHAeXCcBnRk73NTDoCk4Eh6jvemZ3F7sJ//Pjn+q+TExHnSKqMQDAYAUDLAk89UVuZw0HUcuEPwh6PoudKYUWfDMgxOT0+x641juDcdwADpzAyQPRiU7MOLiPlWllKFQiFMre1JdEtcVrAj1D+98gD+UISMoWcIBhUqVagsfG+DbXV4z/VG9PTkjt94I2p9fR0VFRUoKcnsMJ2r9vb28OlPfxrf+c53AJD7zMrKCvr6+vLWfSoBno6ODrz66quorq7G0dERnn76aaytrWU5yo+1HgOeQtVFAkSVnJE9Hg8cDvIH1tzcfOHW1P7+PhKJRF6MTD7lcrlwdnaGzs7OvPf5uf89hlvNpWBZBq+vHKHVysJisWLNnUAoFMad9grMHpCIAQHkpAZhZvbpSTIsry/vAxSFp7pq09ZN8NNKtRLNTZ2MSZJvGwgE8Y7uWmi12px+O+M86LnZJExdydPL89XmcByHa3UW0DSNmV0vGIZBh52IgHU6HZbPaKg1aoy0loPiQUpOVkey/P76CZyuIMJxDsUmnZjqLt9PbjQ4/cp3YEY0jS3b44W7pIXFPwly4MXKFQT4UOAdk09EoCPsKwiapZqdtsZatDfWwGqxwmq1YnR6FsPXekV9EE3ToOM0Fta2oVKrMNTfLQIhjUYLinp0sAPwrIsC2AGA1yceiGLpDeeRmE6dFDC3yo49OqX8XlKwI9MbXQAcCXVvep4HQkS/4fV6YbPZYTDoMc4nmSdbY3L/oPynspyE5eG3B9KBCpNI4NWH6zCbzTLAIx4jtY20nHsqSwp8pPumVjAQAMOyKC4uxv/57hisJj0+/JQysyc7/qKD1wNlnsgC0sGOtH7lvw3h6OjoQprLQtby8jIaGhouNV21sLCAL33pS/ja1772yMdobm6GzWYDRVH4xCc+gV/91V9FSUkJvF6vuI3NZoPH43nk93iD6zHgKVQ9SmL6yMgIXC4XHA4HdDodWlpaHll0fHJygkAgkDcjk6suojMS6me/PIpoNIZ4nIZer4derxfBwiuLTgy3lsNoNCq2rwCO6FgiCfzSE82ydamtLb/fj9l9P57qruO3ywxUCJNEWB/hfaTb/nB+N83YMPVYHEfYkKRhoDSIMzvIyaclJbwebCwBzU//PNjzg2EZdJZqoNVoSVvsLEqmo1TqtOOtHPlh1qtRouNAgcITndXQ6XRpk1mp9dorPxB/Fj6z4J4sfFd3+Jvli//2Q3Hyqr66Qmxx1VdXYO9A8IwRQBGvX+FfOw+OUFlqQ1tDFcxmM4qLi6GiVGnGggCZ3BJaZbVVFbJpMZZl4Ng/haXIhFrJtJiga0t1Jk6thbVNFFuKRCdnoViOw8LKBkxGPZrqakR7h6SZ4awyWzSlrBH6+re/h4bapOaCOEbnBkdpx59ZgPPwBDUVpQhHIlCr1TAajKBUFJa3D2HlHa0BYLi/S7Yvx3GYXNkRwU4mplictpI6LCsAn7GlbUQiETybJbFcmm5eV16S11TWP70+C38oio+/O93cUii/3w8KwNK+S/hw5NyyRUMsyuMjkqGl6cAndSpLWr/4rgG43e6CXVsvWvPz82hvb0+byrtIvf766/jud7+LL37xi498DGEy+PT0FM899xz+4i/+Au973/veFoDncVr6BesiIjDB/2RiYkLspV7WGyHfxPQ34nixWAw7Ozv4tV7glVMrVs5ogKJIOCUPbiiKwozTiyc6CJsjTVMnPwuTWHv45sy+zMMHkCa1n6OnXA+Oyy/ZPN1NmMLKoU807uurIuPwQkn35TjgZlMpD3o4UdgsTF4BBLSktpcmHS4xpTz1dbZtZna9GGophdFkwjtLSjDpOMchDVyvsIKmafSUk2m9hWM/XhzzotJC/HEoAHUWFSgKMBqMUGs0ovGkLCFdct4P7v0AXXWlGb4jnqE5OkV9VTlGHyyKfjGf+Nj7MPpgEc7DE/gCIfS1txD2IxjEJz72AeLLs7aBYrMZ9TXEl+eV+5MoMZtwrbMVxSXFUKvUfGtng2/tVMraRc7DE/R1tOLOTSX2Zh791mLc6OuSMUIMQ3LFwuEw3vP0MHQ6HbQ6rUzgPzo9R44rYXcYloXP68XE7BK6rjTh6ZEbaX/LmVpZAoCRHh8QQJVZEQhlYp1SmSAAcB6dwucPormuCh1NtWJrDQDuz66gt60pCcgeLGKC9ygCyDVm9cCNrqYaseUofYgVPuPEqhMAlSZelrZ1xpccGO5pAccBV5uzh30SNmUX/nAMUOWXK1VXVgKUS4wJFSImOI6Dim/7Cq2s8eWdnBoi6fLh7mZ+v22ZB0+qbkdav/H8u3B2dvaGZGTlW/F4/NL+al6v99IDLYLLdUVFBT74wQ9icnISlZWVODo6EltahdKQvtn1mOF5hMoVIMqyLI6OjrC7u0sCD2/dulT8g7R8Ph+cTuel7ceFisViWFhYyJqsK50ga2pqQlVVFVQqFf78h0K4qEvU6bSXqLB4EoFOp1cYW88cM3HgCQMAPiQJF+2tNCIWjWLDJ2drLhoHARBtgCvCIUQzvPanNL11tcO3riQeOIDEE+cCLM7Ftznnv4eIrPW3cuRHa5kR0WgU7TYSG8FxHNRqDdb4LC21WmiLJW/6d+/eBUDATLUx3SjTuX8AXyCEnhbCnpF21IK8hQXyqCSknDdUV4IDxBH0j773XQA4hEIk7+rM40NzfQ1UfFik84BESGRv7SiDHSAzaLg3NQuGYXCt64oIhISQx8WNHajVatwZvAqtVgsOgN/nQyAYxMYucSl/Quk9p9MZKCAd7KRWKluTyu6kgiOBDRLH86dmEYlE0dvWBLs93XPn/uxKxu8BAMYWHdg/dcvclDmOw3Bfm/gzAEys7mG4r40H9JQM7Ak/jy85sLJ3DrNJj2d6G9NGw1NrfHkXwz3Nogg6H2GxyMJkAD1ejwcLTpJMn3o8JdCTyu4ov/c2lhz76G6uUWR3hBH0o6MjJBKJSxnFXqampqZw40Y6EL9I/d3f/R0SiQQ+9alPPdL+oVAILMvCYrEgFArhueeew+///u/jhz/8IUpLS0XRstvtxp/+6Z8+8nm+wfW4pVXIygR4GIYhSb97eygvL0djYyPm5+fR399/6QgIofKZ/LpIMQyDqakpDA+n08yRSATb29vw+Xwi0JH+MQqABxBytiIoM1IARUHPAx5hHaDk2yMHQH97z4GuGqHVxyERj6OjVIuysrILg5zUdVesgNFkwsJxGAfuMGpsRoDjcOCNpI2JA7gw6LnoxJXQnpIaCgJkRL2rphhDzaWgaRoejwcsy2I7qIJGoxHPg2ES4s3+wZ4fDMNgy7ENIxdFlVmDG402wn5oNZD+/Y9OPRR/vn2tE6MPlsT2kNDCElgeAegIJTgpE6flPrw2Trx0Tl1kuqlRAmyUWljiOVwC7CQ1PSntFg64O/kQDMOgv6sVdCyGaCwGhmGg02pRVFSE2dUtPHnzGmHLJL/HSmBHAC4La5uiIWEqiMkEdjKVdHuGYeHzeTExt4Knbg3AZDKl3ejuz65k/S7G+Jv9nQG5buf+XFJMeru/A2PLuwA4DPe1K7JAQk2u7QGgwPCDGUajMctUFg9y+JbRuGT6Lx+gQvbZkexD1r0yswytRosnriq3KmVaID7TMJ+srG+8Mi3GXwyneAoJgGd/fx8qlUqW4/Vm1tTU1KWT0r/whS+gsbERv/ALv/BI+zscDnzwgyTgN5FI4Gd/9mfxe7/3e3C5XHj++efhdDrR0NCAb3zjGwWzRnkD6jHgKWSlBogmEgns7e3h4OAA1dXVaGhoEKnJ2dlZtLW1FYzhoWkac3Nzl/7DEEpJWB0Oh+FwOBAIBNDS0oKKioqMTx2poIeO0WA5Fq4I+X4+NFAvrss1mp58zbdaXEH4IzQ+/lTbI4GctBH3JhtMJpP4nkMtwuQVeS38sq8c+XnjPwJERO+cKgKKDryEjfog/9mkYEb4+cBLdEqpnjypAEf405TqbsY2zxCNRsCyLG63VYrTFdJWlXQf6dgx7T0WdTCJBAOWZUFRFI73dxEMR2FWxdFQXS7+exIBcpIdIGGYRfjoe5/FX//Dv4hp6HcG+zA6TVyEqytKEY1EQKlUMOh1IqMi1JsOdiTHvj14FaFQCF6PByaTCdbiYjAMg9HpOTAMg94rjUgkElCpVKJA+t9+NIqG2mriH6RQSuxUKtj5+r9+T+bWnAkccRwHn8+PQCCAjb0j6HR6RcYpF9gBCOBJBTuyY8ytYXnfhWKLGc8/mz4pKgU/RN/D4UZHI7xeAmBXD4lm41ZXIygQbyWKotLAjrSU2B6Sbt6U8TylbM8r08sY6WnKqWMZX97BsuMAH/+pkazbAVKhcrNcs9TbKjMY3NkhUTY/rnZNIQDPH/zBH+Cd73wn3vve9xborN6S9RjwFLIEwEPTNHZ3d3F6eora2lrU1dWJ0x5CLS0toba29lKjhtJiWRbj4+MygHLZun//Pm7fvo1gMAiHwyHGYeQ7Ki8FPfdWyQ33HT21+Nt72+QGbzOKv0m5R9OT62g6hm/O7KO5UlmInDfrw3F4bfkAiUQcN5rs0Ot04ti8UJPbLrmZX8rriRSm5+9Gt2XgRQpmRBYnZZ9cywbqi+HxeBCPx2Gz2bBwHE7bVqhvzezCF4zAogVqzKq0qS6h7t4bBcdxYBgWV+vtIis0t+bAmcdPIiQqy3B05kJjTRX2jk9lzM5H3/Msr9fZhKXIiNJiM651tsJms2NqfhmAfOxbCAJVcjwmbsghWYSDUHtHp/AFQxlFyFLvH8Xi9XJt9VXQ6/VY2d4XdT1kPLxI5tBMvhMGe4fH8AdD+MCzd8CwLDT8BN3c6hbUajWevDUgA0Ki/iblz8J5cIyPve8n005LAEccBwSDQfh8XhQVmbG05QRFZTZSzKeVBaSzO7JtePBBqeTXJCXX5LHlXXTXlyEQCKC4uJjXGnKEUeGIueKtTgJiJladGOpqlLXGZBNjErYHHJcXAzO+soPlnWM0lVnwxNXWnIz4+OIWEUyXkWtDJiGyFOzI9l9y4B//6BOyZVtbWygpkZsevlnFsixmZmYuDXh+/dd/Hb/yK7+CO3fu5N747VuPAU8hKxgMYmtrC263Gw0NDaipqcmYW5JPVtVFSwAohaq7d+/CYiHj0y0tLSgtLb1QH1kKeMLhMCYdbjzdK0xWJVmJA08YtSWmvEHPQL0Vr68cwGy2QPhVJLlSOnxosC4367N1DoDDzSY7WI7D+OYpeioMoGka80dhABz6qot4w8AoNGo1brWWy1ifbKAnrd11QYAjLEskEri7egSGYWA0GnCnXe60KmN2JMziUEspxlf3oFTOvT1EnWQKq6406dTrPDyGzx9AsdmE2qoyDHa34Zsvvw6WZVFus+LE5UF1mR2nbh/qqspxdEqE3GUlFvS1NcFut2F6YVUERNIpKEGzo3jjF0fIM5kHLmRmdgTmJ8OI+T/863/A4/PjSmMtjAaDKDwlE1NZ2KaUdRxIi/ce3xrra29GPB4Hx3HQarV4eXQalIpCQ00VVCo1nhDiL3JMZV3vaYfH44Zeb4DNVoKXvvMjHvgpg7ul7UOZCzMA3BlITlHmA3YAAnhup5gLCgBAAD0cx+Hu/Cai0SiGuprJVJ0q/W9/bGmbBz7km7rV3ZxRxyhcO/7me5Owmgz48FOZgZtQJJbCA5tRA6PRiNsK4/DitgKIEcTJPGujBHrIVFY6E/UbH3kubdna2hqqqqp+LCnj8Xgci4uLl5Yq/OIv/iJeeOEFdHV15d747VuPAU8ha2dnBwDSNC1Ktb29Db1eX9C+cKEAj9/vx9bWFs7PzzEwMHCpJxsB9ESjUYxtnsFkSgc2UnHzrebcguYbjcU4OTnFXlQvW/fNmT1ZuwmQi53BAUPNdn683J3WuhKAxoTDBZZl0FdlQoymMXtADAO7y/XQ63RYOaeJYWBruQhoJxSYIOkxZZNdOYAQy3KIRiNoK1GhpKQERUVFafsLRocAsHrog8WgIRlbzcq27q+/+goAYMmxhw67DrclN0UROFzv4bU7x6J256PveRZ//fV/QbG5CDUVpaQlFo8jHqfBsRxUahU0ag1OXC4EQmH0trfgyZvJi3NWYJEH2Mm8b2awE4/T+NH9KYDj8PTIDej1evm+FwA7snXTc7KWFIdkqvtH3vMsaJpGIhEHRVFY2tglovHBq2LaPMXvt3NwiNJiCyhKBaPRCLWaF3MfnSqCQkDSypJETYzy7stCrey70dvejNspE1fSEtidVMADJEFPPJFANBaHRqPG04PdOSeUvvHaHPyhKLqbqzEiYW0EF3Jpi4xMhQEiK9vZKDpKK10zhaysk5NjOM7DoChKkRlKBTvicqXx+gzsDqAMeArhg/OoFQ6HsbW1delhlPe///148cUX37JTVAWqx4CnkHWRANH9/X0wDIPGxtxuofmW4O3zqGp+r9eLrS1yMWhpacH6+jpu3Lhx6ZHMP//hOuiLjdVFAAAgAElEQVQYDY/Xg50QodGVQI9sEolTNiGc4I376g1R1NbW5RA7b8Fq1KHWZiBPoRyHoWY7QFG8aWD+rMzktgssx6G/xkwEwU4fMQws1UCr1WLNRSajhlpKRZ1WPiyOFMgMNhATr0gkgp2QBjqdNmVfNw68EQQicViMWnzoujznLNV1GgB2d3dQCaK5kAaEjs2vY2F1A1YTAQP1VeRCKIiPhZK2sBgmgf/1D/8Ck1GPxtoqaLVajFzvxd3JB2AYBlfbm8mIOMtAo9ZgcWOb6Hhu9IvOyUK9EWAnkUjA43FjZnEdRqMB7xgeVD72VCZPncxg5+vf/h4AeUApyfJK1+3cm5wFwzIY6G4HTdOYml8By3E4dXkQikTRXFeFJ25eh9lcJALmpE4pi25HIT1dqDEhK0sjH1+Wgp9sYAcA6HgcbrcbC9vH2HVH0NtaJwMwGd97eRcjPc0Y44XD2fYZ4wEMx3Gi0JgDcKszdQKKwuSqoPtpwtHRESorK8VlQOpU1lYa2JGWAHz2Tj28P1B+YAcojA/Oo5bf78fBwcGlmZl3vOMdmJiYuPR4+1u8HgOeQtZFAE+hjQIBYHx8HDdv3rwwQPF4PNja2oJKpUJra6tI3c7MzKC3tzftCflR6n/+xxJc5y5UVVflnM4CIJoQKrM+5/D7/XjuGnliyyx25kSARIwNIwhIJq8El+eLgJ7U1xyAgTrikzPNuyYzLIOuMiJ8FeIjRq4k2aDU4zAMg3trR4jH4xhuLRefJL/18EAEN4ImSPick44kwzPUnD4V8frd1wGQNkiHTd5Wde4fAiDTVrf7iZP2i/+WNCBMjptXYO/oFLWV5YhGozg4PoVGo8HPvf8nxG3FSSYefBDmg8PiygYsRSZUldtFsTQAqNRqnLp9CIaj6GlvgUqlIsJXSS1u7PC6nCrcUYhMGJ2Zl3vpMAy8Xi+i0Qg2nEfQarWZ22A52B0BxMi+L57x+uTP/bR8+zynsliWRVdrA6bmljEySByRiWaKaP6WHU7CGF7v4yfotDJweH92JS+wI21vAcD9+eRUFqUlf8NKYIdhGHg8HsRoGna7HXPbJH0eknZ8JhAzxguVR3gAMSaZlkrdJxMgGlsmbbHh7kZw/IMJAUMcbnU2gGEYnJycoKqKBCdTFDAhiKC7mzKyO0r1lX+7i+4mAlqHe5Ktw0xgBwAePnyI3t7eHwtYcLvdBTE9fPLJJ/+rJ6UDjwFPYesieVputxsnJycF7anOzMygp6cnrycRjuPgdruxtbUFnU6H1tZWWCwW2TaFnCSjaRof/uKrsFisuNVizxIWmh/r8/1ZB6zW4owJ6wDJ8gKAyW0PbrXY+Z/5zKtmu+II+GVBEMBrejigv5awQTNOIT5CA7VaDb1ej+WzGFQqFTpLtQiHw9gJaXAWYhCIpgMcafsqFdxIgc/2+jK8Pi/MFI36qrI0UbNwgyaGgoTtERgcnz+AT3z0vwMAvvwP/4piSxHqqgjQidMx6PUG6HQ6MSYCABZW1kXjQFnx145UUMFxHO7yXjn9nVcQo2NgEgwoFSVORs2uOqBWq/HEzWvi9JW0FoU08epKcByHWCwKmo7DYNATQSvHZZ7WmlI2EATSBcxp01Q53JFFXx1JTtbI4FX4fD6EgkGsO494r58UNmh6HizLYrC3QxSOC9cQrVaLRcch/330Q6PRpIHDTGBHWvfn17Cy50LPFcImj/A6GJbj4PP5EAwGYSspQZHZjAnBdVkiYB7jHYrTgYoc7MjX7cj2ycX+jElckEe6mzC2tI3hrkZ4veT8SkqKYTIVQZo4P7Gyi/1TN/yhCH753cPid5Pppj62uAmAtLbGl5Jmg8M9rVkBz/T0NAYGBjLqMd/IOj09RTgcvlRkEMdxeOqppzA7m/n3/79IPQY8hayLAJ5AIIDt7e2CJvDOzc2htbU1a6+Z4zicn5/D4XDAaDSipaUl4/aLi4uor68viFiPZVn8zldfwwEtBxa509KVWZ8aTRiHcVPKdpxMowNQuNVil4EcAFlfK4Ggi4IiQC5kntx2iyPsFoMGFUUaxGIxnAbjiCQAk06FSrMWA/VW6HQ6zB+FQVHkSVYKcKTAR3r+9yZmZMvuz63KttvdJTcmXyCEnkYCTm4P9GB0Zh57R2eoryLCecE4sK6qAr2tdQgEgnh1ah4ajUbe5jo4EkFOalspu2ZHuW0jTDbef7gIhmHQ09oAlmWh4R2jdToddHo9puZXAQq4PdAHv9+PgN8Pq9UKi9UKiqLw9W/zI+Dt6SJV54FyFla2c84FdtIun/xV8fbgVQQCAfj8flgtFixsbIMClSE6QjntneM43HuwhESCwbXOVsToWHJsXku+k/mdEwKGsgSHApCloAv6FZqm0VJhhoWP+aAoKhkxoTitlQJIsoCd5D47ku138myPbWN5+wgfeaoPXq8HRUVmRcE00QbxIIZjReH0rZT3oCgKFCgR4KQKmMeXtvCPf/TJrOdUiLHwR63Dw0OwLIu6urrcG2eoRCKBZ599Fg8ePCjgmb0l6zHgKWRdBPBEIhGsrKxgYGCgYO+/vLyM6upq2GzpwlWO43B2dgaHw4GioiK0tLTkZG5WV1dRXl5ekHFMwddnOkJurkJwKAB+siq/kXSB9bGoaFiLi3HgCeNDA3VEEOlIggyKIgAhH5Bz0df5gCJhmcDW3GopBctyuLt6BJqmMdRsh9VqAUVRmHC4wDAs+qqM/FN+DIkEg3UPIzom32wisQLChf+f7hHBqs8fhFmdIGPvKezPvckkEBrpbcX9WQKEyM2fTGTVV5XjzgDP2nAcYrEYYrEYzr1+aDRq+AJBfOJj7xePI4KDDEAHuBjYEdc/SNHscBwSDCNmi03Or4JlGXS31INlWej1elitVugNBmjU6qQmSCkBvQAiZeE1wJsOdqb46kwREfP1rivw8F4/xSUlGBc+V8rkFgAsrG+j2Cofixdq79QDfyiC3nY5+BDG5q93tmBqzYmeljpRMyWCQyFWg1LJwA5Arjtutxurh24YDQZQlEpkfMZXnIpgR1pJ4ENlBTvJ7clYubXIgJ95R+6wz7tz69g9dqHaZsY7rndCo8ncnh9bEBgbvp226ADAYbi7hQAiHgVx4DCx5JCAIUoUSv/mR39C4cjy+nECHqfTCZ1Oh6qq9N+RfMvlcuGXf/mX8corrxTwzN6S9RjwFLIuEiCaSCQwMzODW7duFez9lUbdOY7DyckJtre3YbVa0dzcDJPJlOUoydrc3ITFYkFlZQaPkwuWMEX25z/cEJf97ei2xMxP8NPJFDeRXOf3+/FcfzO+ObMHfzSOzioreA80ADwwKSDIucjr1GUcx6HDrkEgEIDFYsGaOwGKojKyN8JyhmGI6HXHQxyTj32oN8WhUhEQdKOxhCSIazWilT4A7GwS7YbPH0RndbJN6Tw4RkM1+d24fa0b9x8ui+PoZqMedisZxdfriIbk9mCyTTI6s4CF5TXFFhaZVAoo+ugAgibHjHqFG/udwavpYCelRqfneS+dShgMBhQVFSGRSDpKP1zZAAUKg73t0Ov14k1fpVIOJxWPmwPsOA+PFcEIkK7beW1sBm0N1dBqtbDZbNBoNCQvTOLILO57oz8/kXKm7+PBIlb2z1FstYjM21BPqyxbLE7HsbTvhkqlwo2uZqhUKoRCYajVKtjtSWG9wPhQajJMkAvwAMBXvjsBa5EB9eU2DHdnH7qQanqAzC2tRCKBVx+sgGM5PHWtHXq9joy8I0PLLAXsiMslfwcCkBtb2AQnAULSttj/9+Fnxe0F/yCKomTtqx8n4HE4HLBarSgryx7nka02Nzfxuc99Dt/85jcLeGZvyXoMeApZFwE8Sk7Gly3pqDvHcTg6OsLOzg5sNhuam5svPGWws7MDrVaL2tragpyfdGxeCnqkWp28WB8O+P7cNgx6A4Za7Hi4H+D797wnjwLb8maBHumym002+P1+TG57oNfr+PT4Utk2mfYFgH1XELXFesnrAGqsGjAMm5IgzqLLrsLi8irUGj5Dq7MeapUKYwubWFhdh9UoTGMRwEO0OxyqSm24UlsGo8mEkpISvPTvRLwsa2HxIueGmkoFZodEUmS7OZP1SjlVc9g7OYc/kNlYcGf/CHarCYM97SKQkB+DgJbhaz2yGz5N02BZFkubuxi62pVkPiSC4NRprbR8q5SsLyWRMk3H8croJADwI+ZJRkIATGktsRxsV05zwRTdjlScDCSFyWMruxhob4TH40Y8HodGoxUdtnU6LbRaHfR6Hf7v5BoCYRo9LbU5206iY3J3syQaQhn0ZNLxSJexLAuv10tc3M9CeLK/DVIJjgB6ADnwGVvYVJy0EtfzwGf/1I268hIR/EjrU88/J56DMD4vdcoX1s3NzWFwcDANCL0Ztb6+jsrKykvJCqanp/H3f//3+MpXvlLAM3tL1mPAU+iKxWJ5b1too8C9vT2wLAu1Wg2n0wm73Y7m5uZHnrIq9Oh86udNBT0AATdZWR+OAIloLIpJhxsMw6DdpsIqH5g5UG+FXqfH3GEIh74IakuMOPBE4I/G0VVtfUOZH2EZx3G4t3aMaDSGG43FvAZBlRUcAek5RiuHPnRVJfVVQ03prcq798ew7wrA5/PDxEVRaTWQaUGGwfHpOSiKQk25Dbd6r4g3/PsPFrBzcIxSiwlqjQYGgwH7RyfiMT/6nmfEn0VAo9gqenSwAwD3Hy5lPHaMjuGVsRk49o7Q294sJmVLa3F1A8XmpMty6nHuTc0SQXBPO8YeLIjgEAC2945gMZtQX11JPHJUKtnVMJdIOZFg8KPRCWxs76Ok2IKmuhrZfpn0P0Bm3Q6QR05WDpGyAH5W9l1oqSpFe20pbLYSvn1NPiHHsaDpOGEPNw7AMAy66kqxcuARW6jDXY0iSyaUFOyIyyQgJhX4ZNLtjPEuzb0NpfB6vbBarVjecwFUFlGzhO3JxO6k7bOwiaXtQ/Q0kYT3kb4kqP7Njyr7HQEQf0dcLhe2trZQXl6u+NBHJsYo8ec3opaWltDU1HSpwZGXX34Z4+Pj+LM/+7MCntlbsh4DnkJXrsR0aRUS8LAsi+XlZZydnaG2thZNTU2XDiY9Pj5GKBRCa2tumjufGhsbw61bt2QXh0ygJ5X18Ufj+IXhRkzuEIBwq1nOlNxoLMH41jkSTAJdZVrQNI3lMxpqlRrX6sxYPqNxEoijzm4CBchAkLQuw+xMOFygaRpNRQyKioqw7mFFzU3qfitHAXRJ2k0H3gj8kbjYghpqSpnG2jqTvZ6dmYSZImzih+/IJ/1Gp+ewd3wGjgNqK5Jj4QfHpwiEwjDpNKiwF+NWfxcW1olXjoqicDvlJjo69ZC0wRRiGxZWNxSnmoDcQAfIDHbi8TjcHjcermzCaDTiqSFlh1lxHH6ACHYF1kQo58ERfH55lIVwjkKq+kAP8cmhYzEkGAZLfKL6rWs98raYBOzcm5olk2vxOFzeAJrqa/FEnmJn6Xk+SisLIIAn20QWBw6vz21i78SN+qpy6PX6rG0qotsh7AfDi8cnVnbAJBh01pbIxOOLe26MdDenjc0DSGN7sk1lRSJR3J3bgFqjhtFgBEVxGbeVf3aSbm416fEz71T2WJJtv7CJkRSzQQD4xgv/b9b9IpEI1teJYWpbW5soARCYICkjJL3WcxwngqBCAaG5uTl0dnZeyhrkpZdewsnJCX73d3/3UufyNqjHgKfQdRHA86i+OdJiGAb7+/vY39+HxWKBRqNBd3f3Ix9PWufn53C5XOjoUDYqu2hNTk7i+vXraX4W2UAPOA43m2z41ixpq9TZCGMjFenKBMWSnzlwGN86B8Mw6C4nOVksw6KrTEs8clxx8YlWRVEK01hyUCQAsNT35Tigu1wHn8+L+4cJRBKQASkCZhKwGjXJY3sj4s+pYuMJaWQEkuBndFI+ZTHUXIoxSTtj10niJHyBILobK3HnOnFTHp2ZRyKRQCQSwbX2RqztE5+VpbUtFBl0qLBZwXIsVJQKarUax6fnCIbCPKCpVJxoAqRsRnLZ3omLz75qg1LdGehVBDsJJgGPxwM6RmNj/xhajRa3M0wfpYKdtPWPqNu5OzWLG32dIgii43HMr27BsX+E9uYGcByLRCKBOzeuYWHdQSavLjDZtbDuEFtlqbV36oY/FJW19lKBTS52JxwJ496CAxqNBu+8eRUqtUquaUmdUBKnshSiF0TmhsON9jqMLe+SCbo6Ox+rAeh0WplQemr9gG8sKwOYeDwOl8sNgIPdXgqdTktEzduH+JWfGlb8TLJz4pkd6fVV6dyl26Z+ZgD4zY8pszsMw2B7exsulwttbW15p37nAkJAZn1QrpqZmcG1a9cudY/48pe/DLPZjE9+Mvs02n+Begx4Cl2pienZ6iK+OamVmsTe2NiIYDCIg4MD9PRkz9LJt7xeb0GP9+DBA3R3dyt+3jTQwwOdyR0PAOBWs11kdwAFhob/jczVshJExP01RcQxec+PBJNAh10NrUaLNTcDtUaNoWY7tFotprY9kn2T01kAUFNiRJymsX4aglmvQUOpmWd0kn9XuYTJ6Unn8ovsN14jN2hfIAizKoFaW7rgfH5+ARYt+Z2rq0ju7zw4hM8fhFGrQoXdCqPRCI1aDefBkajRuX09+W/LMAzuTsyASTDoa2sU9WhaLbmxza5skODMoetpfjAAMCoAGYWUb4CIj5e2nOSmz2dtsRyLWDSGjoZKlNhKMLvqAAW86WAn1WxQKOfhMSpKS9DWUA2NRguVSoVEIo6FtW0M9naII/NCfMSL3/6eIqBxHp0o6nmEStXtjD5Ykq0nImUrPvKTT6TtG6NjcLvcUKlV2DwL44nr6d5eqcAnG9iR7be8g2XnKXoaK2WtLI4PZZVqphKJBJYP3Ng9C6CtthS3Oht4lpmC1+tBNBqF3W6H0ZjU1o0tOUTfJnJuWXQ5Kbod4TOlfoaLgh2O43B8fIydnR3U1dWhtrb20syMFPiwLCuCodTKBYSmpqZw48aNSxkGfv7zn8fVq1fx/PPPP/Ix3ib1GPAUui4CeObn59Hc3Jxm+JetEokEnE4nDg8PUVtbi/r6elHIGQwGsbm5iWvXco9/5lNCGGp/f+6Qv3wql0/Qz/3vcZAJiuSyWykARgA9UmAjlIyhkQAgQJkFkr7mwGGg3go6RmOaNwpsLyH09LqXTWobWstIm2P9BNFoFNdqzCixleCB0y87pvQ9pcuyL3dh78QFfygCs5Z8AKVxcwC4l8L2DHckfTpGZ+bBMgwi0Sh6m6phs9tgMBhkN3Up0AGAL//9P8NaRG5EosfOjX7xxjbKt4F625oQT8SJHwz/ZK/X6TG9vAmKojKCnfsPhQR1AlQ4loPP70MwEMTG/gl0Oh1JRg+E0NvWJNtXyP0qNNgRjrewtiVjXoRtXh2fRiQSwc2rXbDZbOJTNhlB53Dzarf4vTAMgy3nIcwmI97zzhEZEBrLMYWWU7fDj4JTanmLeqi7BW6PG4lEAna7HbMOwtyN9GfJ0lp0YN8VgD8cw/94T+52+viKE3tnXtRXEP3YcFeOqaylbTAsAyaRQIJh0FZhQSKRgFargdFogl4viMd1mFiRGxoWYirromDH5/NhfX0dVqsVLS0tb7ibsnBvyCaUFlpjKpUK09PTGBoautR7fvazn8UHPvABvOtd77rUcd4G9RjwFLoSiYRoo5+rVlZWUFlZmRd1Go/Hsbu7i5OTE9TV1aGuri6N5ozFYlhYWMCNGzce6dxTKxqNYmlpCYODufvl+dTS0hLq6urSJg6kT0FfenULk9seUBRhcQDgg9drc4IeKcgQ2kUysXJTbuZHKOlrDjwbFCNsUDwRR6uVg1qtxnZADY1GA7WGACEKVMbR9NRlwvJ9VwD+SAwWnQq1JQbZNkqJ57vbDtF7p65Mrj9y7h/A6w/CqAHKi80wGg3Q8Bdw5/4h/IEgelob0o7p3NtHfU2lrFUigCMyth6U6XWEfzMijk5g/eAcRUYjnrnRDQ3PBuklU1HJLKg+cByHQCAAv88Ps8WMYmsxKBWVzM5K1RHxy4kmJ4DedmUGgLg+K3vaAERzpJxCTq6BUrARo2m8cn8SFKXCM3duym6Cf/33/5zWlpLGUQwP9IneQTRNY3qRtByvd7eJAEicFkP+YEf6vbAsi1cmFxCPx2E0GqDVaqHSErCaDewINb7iBKjcsRHCtsM9ZP34spBtpQx6pDqecDiMe/Ob0Gq1MBgMuNnRIGODZrcOyd9WU6WsLTazsZ88L8FfJw+RsgB8lhx7+B/vfVJxGyngiUaj2NzcBE3TaG9v/7EEg0ortS3GsiyOjo5wenoqe+B8FKH0Jz/5SfzWb/1WQT3f3qL1GPAUui4CeDY2NlBcXJw1wZamaezs7ODs7Az19fWoq6vL+IvOMAympqYwPJy7H55PFdorKNXIUAp0gCS9+8VXNsV9/u7+rqh9kWp3MjE9qSBIAEAA0kAQOYnkfoCyOJkDh74qIzweD9Y9LAwGAyhQ6KsmRoEP9wOiNkir00Kv02PxNMprg1QYarZjwnEunoc/EofVoJZpeCY2k1NS0hpqsonTUELduiIXEY/y8QTRaBQdtXbYbDaYTCZQFCVnda7JWx1SlkhJFyIyKpmYifn15Av+Bsqy8pH5o3MPKkssGOghmp5oNIoiUxFsNhtUaiE4UxnsyM5lajZNVC1dR84ze6RELr1NPJGAx+3Gg+V1GI1GvGN4UPb9OQ+IE3VqonkukfLtG/3EN0gChOLxOBa3SWzEUH+3eMPXpDzEjC1vi9+LABZ9PuIwLRhXfuPVWfjDUfRcacxpBpjqpiyyKkoJ5Py2AuABkqAHkAMfAewMXKmGy+WCWq2G3W6HRqORAKHkccaWHBjuakIiIW+LEeNWCquH/MQYBajVatzubc1yu+KPubCBvRMP6itK+M+Y9D8SwA7DMHA6nTg5OUFrayvKysr+0+VLeb1e0VOtsbERarU6b30QkA6EPvKRj+Av//IvLxVP8Tapx4Cn0HWRANFsPjexWAw7OztwuVxoaGhATU1NXoi+kJNfhfYKEgBeeXm5ItCRlhT0SAENASwJ2YRTLvFypnUCE5RNrByPJ7DnDoGiKEQYoFsiYPZHE+iqsojH4sDBH4mjtVRPbvgJBju+BIq0pD//7q5S8el+Kod25/7sCvbdQfgFJ2V7+hPowvIazDqASSRQajHCYDCIEzTO/UP4AkFYjToxN0uoXecefIEArCYDGqrlYJuwFdldk4Ek2Mk2UXR/bhWL69voaKpDJBKBiqKgUqvAMiy6G6ug1qixtLVHbmjXyWSU0s1HACzZAM9lwA7DMPB4vYhFo/j2K2MosVrQUJvC4EzlyNRSSlj/v98HAMUpt6XtQ1gtZtRWluF6Z4t4w2cYBiq1mkxFOc+JZupGHyKRKO/gbERJSYl4LRhfISzgyNV2UdQMKLeFMkVHyLxueFCiBHZkx0phe+4vOdBeaQFN0ygtLU2bKpKOr3McK3uv1GJZ0kYdX97G2u4xmios6KotJW1UfZIN0ml1ImgeW9jgPzcP5BaT149vvPBrMqf5qqoqNDQ0/FiysbJVLBbDxsYGaJpGR0dH1lH0iwil3/3ud+Pll1++kHTibVqPAU+h6yKA5+DgAPF4XIa8o9Eotre34fF40NTUhKqqqgv9YRba26eQx9ve3oZGoxFt0pWAjrSUQI+UtUkyNmQCKq31lYX5UTqmdNv7G6eIRKKgVBSeaK+CTqfN7r/TpCxCvtlsB5NIYNxxLmM+ukqTEy6LJxEcnblBgYIvGBYFyLU2E4Za5GBFGGvmOA6xaAxXyk0oLi6GxWJJY3RGrqa3N4TcrTvX0yf5BCNAXyCY0QjwzvWevMEOk2BwpbYcGo0aNptNbA0JgtzFdQfMBh2qykrId9JI/FIEkbROp8ODxTVQKlVG9icbu5NLpDwyeBU/Gp0ETdMwGEg46t7hMT72/hQGJwvYIeaC6YDGyeuRPvlzH0r/biRtLGGEX1ocx2Hv1IPqygp0t9QiEokCAAwGvRjiKgDnidW9tH9nJeCTLScruR+vFeLZukxgR6jx5V1wHIelnSM02Itwu7c5Z2voK/9+H1aTAT/zdG6dYepUFsdxGLhSm2YuubJ3RuJXeO8gnTYJnH/zYz+JQCCA9XXC2l25cuXSdh2FLpZl4XQ6cXx8jJaWFpSXlz8S6yQ8QApAiGEYvPTSS/jsZz+L4+PjS422v03qMeApdF0kT+v09BQ+nw9tbW2IRCJwOBzw+/1obm5GZWXlI/3S/2cEPMIfoMfjwcbGBhiGgclkgtlshsVigcViIW0ihc+bDfQINdRsx7ceHgDg21ZeAoJ+caQx536pIOb+xhki0Qh6yvWw2WyYOwwqbi/dRwn4kOWutG0BMna+f+aDLxRFkZoFy3EoNQAdNjXUGo2of5nbPYNKpcbeARnJ9wVCsGhYlFkMoOkY9Ho9fxGjsLi2CYue3KjqKpPZZ4J4Uxowqgh2HiangjIBmZe+PwZ/KMLHRCRv8qk30bsPlhCNRNF3pQF2ux16ffoNRrjRC222+/xrjgNYloDC5Q0HivRaPHOzTyaSFv4bEz1tcoMdKWu1sLaF9qZ6RGMx6HU6PHNnSAYWU2MjRqfmJMeRZGGtbaKvozXNUyfptZPfRFZqjS3vYHFzFy311eBYDkajEU9c7xLbP7EYudnP754DFDDQ3ij7XgRtnwB89s98qK+05xUbMba0jeW9M/Q0VWUXKHNAKBTC6OIW3CEajVWlefnokH2lU1nK+yjpdpRiI8ABo/NruNZagzhvpkjHaYADNBoNfvp2JxiGwZUrVx4ZSLyR5XK5sLGxgYqKCrF9VYian5/HZz7zGXR3d+OFF14oSB7i26AeA55C10UAj8fjgdPp5HNuQpdC90Ipmftdpi4DeDJpdDiOQyQSQSAQQDAYRCAQQDRKNC8Wi0UEQq3jaG8AACAASURBVGazGWq1OmN7S0mvI/wsACBADoK6qiyK+yUYBtFIBN3lOjiCalFLkUl4nAv4AAT8TGyd4cBL4jL8ERpWvVo8J1GcvH6U/M5YFgmGwf6JC4FQBHWmBCgAV+tLCKsTi8FsNhMNDKWSAZXUNsbowyU4BW8efwA9zdWK/07OozPUV5VlvQmP8zerOynj4tL3Z1kWS44DmPQafPiZWzAale0WUsGO4jY8YOFYoocTRNKkVZjAumMXRUYDqsvt4gSdWq2GSqXC3qE8GV2o2zf68erYNKKRKIau9aCkpARq/u8kE9j5+r9+DwDkIuWb/RJAdXGwk3X90jai0Sg6G6vFEe6xhXXZNrevtoutrOG+trRIDYYhobMCAHrp3jJ6mmtBUVTO7CuBCRJuDUqgJxaNweV2YeXQC6PBiNu9zXLH5QxAaWxpWwaK5LERkuU5RMpS4AOO4fdP/ltzHJkA/Mm+OpSWlkKj0SAYDCIajUKlUsFsNsv++3EwPoK5IUVRaGtrk43qX6Y8Hg/++I//GIuLi/jCF75QsIGTt0k9BjyFrnzztILBINbW1uDz+dDX11cw8dzU1BT6+/sL9kf8KAAqE9DJVfF4XARAwWAQwWAQLMvCZDLhXzdpLJ3FoEmJAcgGegDlVhiQBEG+SBxGNVBmUsFLqxCkGVgNGnG9sK1wvG89OEgzIwQAfzQu7gfwSekCuLEZ5czP1mnaZx9qtstuAADARkMAOMRomgBCflT1yBNEKByFUcVApVKhtsyKodYKmQZGmpR+W6G1BSRvbgvr24rTT8Od9WS7DGBHKIZh8MrUIhKJBJkMU6uR+s8tsAsXATupo/PJ9UTEfXugTwwRjfGC4IdL6wAF3OjtlLEe8Xgcr45NQ6VS4Zk7Q7JMLinYkYmU+Qm1T/4/P614foUEOxzH4bWHa4jRNO4M9IotyrRjzK9hZd+DYosZdZWlGUXKQvDs5BqJh+mstWNpzwWViphLDnXWE5G0RiO+j6jbEXU8O+LxhrsakUgk4HaTOBfHeZjYNKSwOqJAOQX0ZBNHJ8fRybpcOVlCvfSDSfhDYfQ01WCkjwiUw+Ew3G43fu1DT6OpqSmNMWEYRry2CP/RNA2dTpcGhArFtqS+/87ODs7Pzy9kbpjPcb/2ta/hS1/6Ej71qU/hl37pl96Q83+L12PAU+jKBXgCgQC2trYQj8dRX1+Pvb29gibxzs7Ooq2t7VLZK9K6CIB6VKCT65jhcBiBQAD/a9SJWIzG4mkUKoqCKwqE4iw6Ks1Qq8hNNl/tDsOwaLEwYBgWOyEyXp4JJK0cB2A1kBuk1ONH+h5kvwwtLMe5fHse/ExsEGbnwB2CLxyFRQvU2cm/GwcgTsfRVBSHwWCArcSGyVWneIzhjlokGHKzH1/YFNkPV0yFUDSCIjWDOp79UKlUuFknNywUbm63M3naPFjAgTcKfygKq0knGgUOdyb9fliWhc/nw8TSFgwGA95xoy8N6ADJG/3CugNWox71VWW43a/s3p0v2FHO9iL7jgz2iWxHNBJFOBzG4sYOMZTsT8ZG6LRafPkfvknGzFNFypkckzOAna9/+3vwBUMZE+OXtg9RbDHjo+99VracAxAOhcgE4EkAz4wMZn24EKwKRq62p5gJKoiUhW1FTxoiBh5b2iGaqdoSJBIJUBSF1WM/idXobJS1xQAyKSbEaTzR2wqTyYTxlZ00sCO+bwrbkw3siO/Bb7Pk2ENPU3XunKx5XqTc24KxhS0wLINwOIz+1hr84Seev7CZK03TCAQCCIVC4v9ZloXRaERRUZHIOBuNxkdizzmOw+npKRwOB2pra7NO2160Zmdn8ZnPfAb9/f343Oc+VzAQ9Tasx4Cn0JUJ8Ph8PmxtbYFlWbS2tsJms4FlWUxMTGBkZKRg77+4uIj6+vpLpetK6+HDh+jo6BDzZJTqjQA62eqLr2yKT7BTO14c+WMoNVI4DzMIJwCLXo2aYgPUag0oFSUzL2RYFq0WFgvHERiMRmh5oHPRllVSpJy/e/LE1qmYBu8P07Do1XxAqgQgcYTudnvcWDsNwxPl4A/HYNGS77OujM/aaiyRvYcAnjgAA61VyXgEmsbs2jYoPjZix5eAWU2YoZ8eyRwZIopcryYjIsbm1vj3IK21WIyGjmKg1+szAhhA7hp8+2q7rA0mLY4mbNllwI4AUMSoCprGhvMIGo0GHMvJhOOHpwSI/tTTwzI2aPzhEihKGewICeip5Tw8wcfe/98UzzuTSDnBMIiECVPiCsbQ2FCfdTRfCnakpQR80sFOyrGkU1MgDEF/c0VaWwygQNM0LBYz1o78oFSUqMHJBHik77G0fYjuxqqc+h6AHys/9aCunFy7sgqs5zcw0tsChmFFF+fS0lL87i9/IOf75FtC613KBoXDYVAUhaKiIhkbpNfrM17zgsEg1tfXodfr0dbWVjD23e1244/+6I+wtraGL3zhC7h+XTl37nGJ9RjwvBElTUz3er3Y2iLBda2trSgpkd+oCi0yXltbQ2lpKcrKynJvnEctLCygsbERVqs1bd2bDXSkpaTr4QBcrzVjYtuNIx8BQaehBCJxoEivQqmBgKI6exHutFWConInn18U+AhBp52ScXV/hJYxRGnZWbwHTyKRQDQSxa4vgc4KA1Qq8pR964p8dFzUWQA4DDLwh+Ow6CnUlRVjqEF59HRsdR8J/kbfXWXBw409cADUahWvf9HgVrMd0xsHEK4LUrBDvmAOgWAQPq8XRWYz/vn1WVgNWtRXEUGkknZDADuZ2moAH1J6dMYbI9YrbrOwvAqruQgfe99PKOwvCJLJaK7ARhgMBhyfe3g9D2FeUsXHt29cFZPDaZrG1PwyWJbDta5WLG3uitqgw5Mz+AIhZZGy2BLLLxA0nkjA7XIRsbrdjpnNQyxtOdErYYeUvq9xhYksaQnAZ//ch/rK0oxgR3ZMPjri4++We21FIhG4XC5otRrodHpeMB3Hq8v7CMcYXKmxYaiDtMW0Gg2UqL2xJQf2T71JANOdmbURxsoFZkca9pk2Rs+zOz0NZfD5/JIpReA3P6YMOgtZLMsiFArJgFA0GoVGo5GBIIPBAKfTCZ/Ph46OjoI9hDIMg69+9av4q7/6K3z605/Gz//8z/+nG7H/T1qPAc8bUTRNw+VyYWtrCxqNBq2trYqAASg84Nna2kJRUZE4+n3ZUnKD/nECHWlJQQ+gPI3FsixaLCzmjsLQqDXgwOE0mEA4zqFIp0K1VY/TUAIhmk0L9/RHE0k9j6jVSXoACX49snYXkOaHIXNXTmlvAUAiHkc0EgEowGg04sgXFV2XZcdpsqV9ViBpRDi+dpC2DxtJRl5I4yeE84zH44jRMUwuO3DsjSIYS6CplGRuDTaXQafXQ6vVIhqJwOPxwGA0Yu3ATZ70kWQQpCGmQjERMuGWC+wA2TU99yZ540UuPbLFeXBExujbWxGLxdDeVENM+SxW3M+gqckkUP7rryVdlFmWA8MkcL27DROzS2AYBn1tzdBoNWKchk6nw8TcMijkB3YYflIxFo3CZrfDZDSKIZ1SZkdm6AhepJyB3Umt8dU9LO8coae5NmcMBEDA8/65F3Xl5EFs8EoN3G7CUNrtpTKXaYEVGrxSg7Hl9LaYlCXT63SYWN3FSFcTgKRjNKAMfMYWNhTbWKnAZ2x+A4lEAi3lRTAYjLDZkp5EbwbYyVaCBjEYDOLk5AQ+nw9arVY2hGE2m1FUVPTIbbEHDx7gt3/7t3Hz5k384R/+YdoD9OPKWo8BzxtRU1NTYusql9nT/fv3MTIyUjDAsLtLnkrr6upyb5xHSd2g/7MAHWllAj0D9cXwej2YPQjBYDTgTlslpiThozebbBjjk9SZBIN2mwpLZzFR1DlYXwy9XoeH+0Hx4VUaTyFUbv2OcntrcttFXF/PAwjRHDqrLWmTYdKa2DzBgS+GQCQBCw+wPjSozIYAyRbX8t45uqqSYFvp2FLG6FZHLRiGwf3FLTAMg3g8jkQigY5yAwx6PVb2iYvu7b5Wcr4Z/v3/8T/uwhcMoacxCbxTn9QvAnaUBNOjU7PgwOFa5xV4vV4UFRWhuLiYZJ1lSS0HkHbpcx5mcFGWaHY4cEjEE4jRMZ4NWgHLsLja2Zo2Mj+xkPQqIlNDfgQCAZQUF8NssYACFMFOat2fX8fKgRfFliL8zDO5I2PGV/cw0tOc0RFZtq0oUm4Ey7J49eH/z96bR0dykGe/v967tbSkljQajfZ9pJnRrJ7V/mwgkBO+cIFgTEJIIAn3fLk5JOQQ7CEhhB0H2zfGfCQhgS8kOSEk2Jgt3ITFYGOPllk10mgd7fvaUi/qvaruH9VVXdWLlrFmMdFzTp8jdVVXVbdaVU+97/M+zyCxmMADrXUpU0Pa2IjEc4l9nNpfIYvH45Wyq8MzSKJEa1Vx4nOxWbl6c1b97BXik1zdSYf2GyNMzi2x5lvnraf3U1ioJ2N3m+wo8Hq9DA4OkpubS11dHWazmXA4rKsGra+vI0mSas2hPBwOR8bz6fLyMp/85CcZHR3lmWeeobU1vdHmLjbELuG5HQgGg1tm8J2dnRw/flw3NfJqMDs7SzgcpqZm8ymHrWBsbAybzUZJSck9RXSS8dv/cBEAUZKYXPbjsknY7XbONe5Vic5G8REA91W7EIQYnaMravunMV9+r0Orki5A1GQ0blm/o6w3vRrAF4qRYzMRi0a5v8KGy+XSCSzTVYB024sbEV4cWUpdVqMXQ5+sLdYt70xXAQrJVZhTTXq370gkjNvtxmAwMLzgw2gy0Ts+R7YF9uRl01ySTSwWU12BbZqLffv1AUBPcJRqh4Lu3n4O1pbdMtkBeLH9Eg0VpdhsNn24ZxqyozzXMzjMof3p21tbESinBI6W7dWPzAsCsyte1kNR6qvkz1QQBE627pePMX5e2ArZAegYkLOlDCb9+SEdOUjodhLLMkZBxMnOqeZKvHEylpeXR++0O/36feMZR9pV1+X4csX/53Rzlaq1i8S9gxSPnIHZtXj0ivx/de5gbUbyLIkiP7sUzw6Lu4krOHOo/p4gO5FIhOHhYYLBIE1NTZsaMIqiqOqDFJG0ct3Izs5mcHAQk8nEkSNH+PGPf8xXvvIVzp8/z7vf/e7d9tWtY5fw3A5sJzH96tWrNDc375gPg9bM8NVCkiSmpqZYWFigpKRELcvei/9w0WiUz333GsFggLF1ue0wEJ+u0o6Ygz6MFDbX6kgSHCnLJhyOcHXKgyAIiJLEwT12bFYrfcsRFvxR/GFBV02ZWQvo2mLHKpysrq4RiYQZ85t0J+7kysvFMTczqwF8oSj7S/Myrqfg+Utyy8AbjKhxFydrMpuNdQxO0z+5JIeWxoXQp+r2EI1GWV2Vp9hcrgJsNruuHXF6f4WuzSBJEkeqClUNzJX+UZAkjtTt01U8tOPPr1y8xtTcgtpGSca5oy0bkp1wOMzP2i5ytFke69WFe349NdwzZfv3pRKhZLLzje/+MK2XjwxDyna0aOvq59iBJjVTqnd0WnW+BZhci+J05vD2151Mm5+lQCE7yS1BrZPy6RSRcvobHW0UhEx2JFqr9+B2u3WVMXX9/gRRSoiUM7fIlO1PLa1SXuRUW1npIEkS0ViUb714Fd96kOo9TprLCzEaDFi0wbNWK8FAgLW1NYbn1njwWLPuRqv9xjDPfu4DGfdzJyCKIjMzM0xPT78qw1gFytj8D3/4Q7773e/S29vL2toazc3NHD16lEOHDnHy5EkOHUp/E7CLDbFLeG4HthMgupEo+FawurrK3NwcLS2pbrpbhbZ1JYoia2trupKsMqWguCTn5ubqLjp3EtFolMnJSRYXF6msrOT5wYDuhJNczdE6MkMarU7S7+nWAZheDeILRsm2mijONsokSBAhHnZoMpm4r7oAm9WGJEm8PDhHLBqT866sFk4ltb0UQuYLyS2rsnwHp2r1hCVde0wbOqpdv3N4MWldeVnHYCKNWhtC2t43QTAUQogJOBx2zu0viz8vkx3FkycZCvmZmlvE4w/we798QtUGKSQoHA7L1SCjkd6b45hMJs60ytMqRoOePF+42sPk1LScjN5QrVsmCAKhUIib41PkO3OpLtcbKU7Oyp9FclsKMut2tL47um3NzG9rOwpevtJLMBjk8P46XC5XykROe9+E/F0xmNSKkCiJtNbu01XKro4tYsCwof5JJT7x6s+mwaF9E0wve/Gsh3jzkQpdwGcm/MN/deLMsvPw/9i8hdLeO0bf+DwtVfL3asMxdKWN1VJDe6/8HZIkiWMN5UQiEYKBAMFgEAwGhmZWMJvM6aMj3n33qjurq6sMDQ1RWFhITU3NjvneLC4u8olPfILp6WmeeeYZDhw4wNLSEjdu3KCnp4esrCze//7378i+/pthl/DcDmyH8CQniL9a+Hw+xsbGbqnHu1WNjiiKOoNAn8+nTsVoSdBGPelXi1gspqYeV1RUpISrbsWdWfldu06maa2U5zKMpYuSKOs7xlaJCTGi0Sj1eWC1WMnKysJms9E9H8BoNDIw502ktm+y72Q8f3kCbzBCrs1MeYGDk7WZvz8K+embXCLXZuLX7qtWl4mCwJrHQyAQoCA/n+zsbDoGp5le8uANhMi1bTy+DtCmjKtHQynLtBe9lzuvyOPP9eVqi0OSJJ0Q+EpPH8ak7CxBEFhbWyMYDDI8OYfZYub+TJNSGXKzIEFStO0tpRqka39lMhbcgOwIgsDPOruIxQQeOnMibcVWqZokh6C2dw/FRdJxAmSyIAoCB6r2JnLFbJpKmea8/ezL3XgDYQ7U7ON0c2XKPrVo65sgGAwiCiKOrCzMJtOGr0lUeRKn+42E0O29Y5yJL1dadplIT3vPTU4niZfbe0eQ4q0eUZR48HgzV/rHESWRo3WaDK14W+x3fuVUylTUnWi1h0IhNSKnsbFxQ8uO7SAWi/HVr36Vr33ta3z0ox/lkUceuSer6a9h7BKe24HtBIju9FRVMBikv7+fY8eObfk1OyFGVsaBfT6fSoQCgYA6qqmQoFfrYCoIAlNTU8zNzW1q4LXRFNdGv2/ruTTE50R1Pl6PF5/fx7jfjNVmlfU7wSg1BVb5oiaKLAdFSnKsmM2KNqgYozG1OqVAiVlIOZ4kPU8y+enURlcI8vdSiamodUKeIqRNdtxtLKVdI2gGONWg/54qZOdMmgundtqo50YfuXYT73rT/fr3pBECt1/uQhAEDtSWq1M/igbk5uSs7HWCYXuJ5d/7EQCVZakBn+les12yI4oSXq+H9uuDOBx2HjpzX9r/nUxkJxnP/fy6TGDqqgCJ4w1lOg1MLBbDYJQ/m94ZD+a4gPzi4JS6jWQSI4kSHo+Hi0MznDtYK5uSGrRtrtS/nXK8et3PeMpzClRzQc2ydo3Xjy5SQlPdUY9RkvB41vD71ykoKKB7bJ7ekQmcWXYeeYN+ZB7gj3/9TQQCAbXq7PP5CIfDmEymFMfknao+i6LIxMQECwsL1NfX75j1hyRJdHR08Kd/+qc89NBD/MVf/MWmGqBd3BJ2Cc/twHYIz+TkJAaDgYqKzBM320EsFuPKlSucOpV6kkjGnZi6isVi6glJIUJKXISWBG1k3AXyZzo9Pc3s7Cz79u2jvLx8S8QpE+mBrVd7NnsOZOIjt67mmVkLEhKgZZ9TdzeuxckaF6IoqmGQijYI4GCJA5vNijU++nx1ck3181H1ORkqOlryI8USBpgn62QBsyRJ+Hw+vB4vI6tR9XM/WVesm9Y63Ziau6UlP1Pzy+xzyheSdGRHgTKJBSBGgmnXOXu4WY3COHfsIJIk4fV68Xg8WK1WugdHNhgL7834GU/OLuDxpYmGuJw+RT2TsaCyHUXsDLKsJRKP/HCvhwmEohzcn+qyfO7YwS2THaXdePaQ3MbSZU1pCIMoirT1TRATBA5WFqmp4Wazmf64GNhkMnH2QDXr6+usra4xvBzEZrOlhHXqRc3y3zEd2VHXT4qb0B7nmUwZWhrigyDnDCbIjsT6eoDV1VVycnLIy8vDYDDQptgcJF2Hzh5q2LCNpZxvtERIEGRzTIUA5ebmkpWVta3qydLSEiMjI5SUlFBVVbVjlZeFhQU+9rGPsbi4yDPPPENzc2YR/y5eNXYJz+3AdgJE5+bmCAaD1NZubhK2FUiSRHt7+4bePnd7vFwURfXuTCFC4XAYq9WqI0FKPIYiCty7dy8VFRW3NNGmTHEpkAmExlMnrqF5+1FZu5JcXQF9bpa2FdU/5yXLYiDfImG1WrDb7LqBk3SC5EzLOkfdiKLAQHybRQ4joijSUhz3N7HZ6JmT3XkNhvTEp3N4gRn3ukyQ4sd5sqaI9fV1VtdWycrKIj8vH6NJPml3Ds3RN7lIrs1EeWFuitFhMtpvjNA7NkdzecIXKNnjBxJkZyPH3H/9zv+Hx+vHmWWjolQWTYeCQcwWC3a7nWlNEKgEiIIYb/3EmFlYxh8IUltRKsciHDkYJ4pW2q/2AOkqNQmyo0s+HxgmLzc73t7STmWlVnaCwSButxubzc7A5AJGoyFlP5DIDeufXVPJ0plD6YcJksmOFsnERxEoJ09qaXPFLt+cIRaL0bwvj5FlOZj3VHNlSmyEun9Ntaejf2JTDx+F+EwtrsVFypt7/nzzp5fw+oO0VJVw5mBd3K9sGbPZjMvlwhTXIilkJ8VwsGeY5x7/w033kwylmqltwwcCsuO5djQ8Nzc35cYrEAgwODiI2WymoaFh25EVmRCNRvnKV77CP//zP/Oxj32Md7zjHbvtq9uPXcJzO7AdwrO8vMzKygpNTRvrJLaDTGaGd5vobAbtSUm5w49EImRnZ1NSUqI6qt5qifpLP9242vNP7RMJE8GCRAio027ROSQnnJ0lDhTb5CkSL9jtdowGY1IVKL0PT7r9J2duae9uT1QVqAGZyqN/KYzRJCe7KyO+RoMRDHAqPr4uSRIXBmYIBoOYzWYe2F+GyZy44GnNCk/Vl6SMrieTH0WkrB1j105tgUx+tkJ2Xum8DMDZIy2EwvIYvNlsxlVQgNlsTomL0EJLRJRKmVItu9wzIAtgDzSqU2JXe4fouzlGnjOHyn2J9ta5E0cy7ieZ7MgXaDdGowGXy8Wl3mF1G5mQyCw7mJJ6riU/HYPTacmOFu29Y8y4/XgD4RRnZAW6gM+VIIMzbnIcVn7lWK3aFhMEAZM5kaZus9qwWC109k/SN7mAM8vGww9sRaQ8St/EPC2VJZtGR2jbWG098vi2IAg8eKwZm82mW7etezDt9+ZP3v0rmx7TdqDceGnDipW2WHZ2NqFQSB0z38n21YULF/izP/sz3vjGN/Lnf/7nO5Z7uItNsUt4bge2mpgOcsbW1NQUBw9uXO7eDpIJz71OdLQQRZH5+XkmJycpKiqivLxcDfZTHnIqt0OtBG1HIJ1MemBzbU/ycxJyoGn78BJmkxm7w85pxR9ng+qNQn5Uv5z41JVcbZIdm99+LLVSovXm0Y6aK9NQnSOL3Fzwk2WGQoeRAyV2eQLKaCQQCGCxWHC5XFydSBzb9LKXfXnyhUY7raWFlvyIIZ/6c7JnjxbtN0aYmJzE6/XTXCEf69k0VQ2F7Jw40IDb7UaKxywoU01bJTvplk3OLlBRWqKOgguCwMzCEntc+bQ21erG5S/39GM0GDckO7GYoOZyFRbKvkkJF+WtkZ2Uz0lDfvpnPbRU792U8EC8EqT5np/eL7ehlGnKQCCAy+WSAz4HplJer7SthJiQIImRMNFIlN4ZNyajSRc3cvZAFemuE8qE2JmWKtp7x9Xn06ahx8nOqebquOePl/z8AnrGF3TrnTlYl7G6AztPeNJBkiRmZ2cZGxvD6XRiNptZX18nFoupQxlKRWi7bbH5+Xk++tGP4vF4ePrpp3f0JncXW8Iu4bkd2A7hUUqmOxn8prg3A68ZoiNJEvPz80xMTFBYWEhVVVXGkL1kgbTP5yMUksv2WhK0kUA6U7VnM7FyNBYlGAzSWppFQUEBFrNlc32P8vo4wemf88qj5wWOTapB+naVlvgkC5iVik7nyCKxaEy+My00YzabVW2QcpHvmfVyc95H8z7Z3+dUnd6gMBnPvdyDdz1Ic5nsm3OqIVXfo0AhCkpLpK2rL2Wd7uvdtNRV0FQph5y6Cgp0U03bITu6tpRiBpg8daURNWurQZ3XbhATYhxsqKZ3eAKzyYzJZGJucRnveoCDjXWEwiGikQh2uwOL1YIB6B2dIS8vlwqN1udcUur8RmRHt97gDNNLq1Tslf8GG1VKlLaXsk57XGtzoKwAj8eD0+mMZ0oZEr48WhFx/8YiZUmC4/Wl6udzdXgWURQ5WOFS9WRWq5WrwzMYDAbOJPnypCM+Ctk5XFOC2+2W26n5+RiS7Ajab4xwY3gCZ5aNR34ptXp1J8iOz+djaGgIh8NBfX297vyjnHOSg0SBTYNEI5EIf/d3f8e//uu/8olPfIK3ve1t9+x5+Bccu4TndmA7hCcSiXD9+nXuu+++Hdt/Z2cnhw8fVi/29zrRWVxcZHx8nPz8fKqrq1NK3FuFkmWjkKD19fUUgbTSp4fNW1za51r3ZbHqXsVoNDLqN2IymjYkOAp50eZtleVnJao7GaIoEtvTLk8Qn4sjS3JAqVafEyc7smngKrFYjDEfqtbpVG0RkiTRNjCjVjwaCy0IgsDgUlC9mzeZTJxpKNFMa2miA+IkRyta1T6vJR4b6T9ebutkbGqGwmyrnFZvsejOQj0DN+OkJbXqlE48DHo9TsbpqiRX5cR+9iIhV0CPH9xP+5VuBEFgf225LHa12sjOyZZF0jYrnfHJM515oSYBHaB/1kt+Xh6PvGnjjDylnXg2HtKaSaQsrzud8nwwGOTlbjmvz+6wq+QmHdlR0N6/TZFy3wSSJFfKWquKCIcjXBuZpaUsH7PZoquWWSwWDAY98REiYeqKszEYDBQWujCb07ejlWm/5Ly0kcv/kAAAIABJREFUM60Nt53sRKNRRkZG8Pl8NDU1bcsTLV2QaDgc5plnnsFut7Nnzx5+/OMf89a3vpWPf/zjOzbCvotbwi7huV3QJqZvhK2IjLcKpXU1NDTEysqKbhw8Nzc3Y8XkbkCSJJaWlhgbGyMvL4/q6uodEwRqkdynVwTSytTGtwbWZQ2DxaJe6LUVm3AkzIVBufRud9g5W7+Hi2MrGwqYFR2Qtj11cTQ9gdkK8emfWZMJU4F8stQKlS+OLCFKEqFgkPp8IwUFBWRlZanvpXNkkekVfzyx3cSvnajWbV8RukYiEa6MLSPGK0eGmKxlOFm/N7PQNU5+evoGybUaePh/pDfjA/nv/dOXXiEcDnPmcBNOzRi8glfTxpJfpyc73/jeDwFSXZfj57bUNlYX0WiM+sq9OOwO8vLyiAkxdSz8Sv+o7AnT0hgXkGsv9HGSGCcbBrP+u3zmkJ6kJZMdLVJEyklkJxKN4l5ZAYOBwrjTtEJkppe9lBflbSoibk/y2NlUpKx1Ui7M5XRzVTxBPaGdisWiqp2AxWLh3392jSyLkaq9hTxwZH/GbavWBgf1gxvtPcM895d/tOFxvRpIksTMzAxTU1NUVVVRWlq6YzeGPT09PP7447jdbsrKypiamsLv91NdXc173/te3v72t+/IfnaxLewSntsFxVRtK3i1ienpNDqSJLG+vq4bB49EInfUHDDTsa6srDA6OkpOTg41NTU7FquxHYTDYd1n87GfzAMGudphNjGyEiLLBEVZJhwOuzzyOxePqihIFTBDcktL0eskt6XSP59MfFIyteLfJS3ZEUURz9oa64EAYz75QmMgUfHRujCfrC3SuzJnaGN1DE4zveLDsx6ivigLQYjRWGhDFAXMZnP8bt6GzSZf1NquyS0rJZNLi9PxC/RPf/4KoWAIi9XC6+5rTat7eLVkJ/lcNhmf7vr930waSc+wn5c6rxAMBDl6IB5XkVSJUDQ7Z08cRhBihJVsqEg4PqBgYHDBL1fJjh7QkcT27pu6bRms8vc9HdnRor13jP4ZN85sB+984JAubd1VWIgj6QahY2CK3slFDlSWZHTG1kI2LQzRUlmyqWmhfDyjcSflPRlbb4qWqLN3BKPRxMGKQnrGFzAYjZhNJk42V8cJkeyWnInsAPzJb75502O6VXg8HgYHB8nPz6e2tnbHsgwjkQh//dd/zbPPPsunPvUp3vKWt6jnV0mSmJiYQJKkHcs6BPjd3/1d/uM//oM9e/Zw44a+2vjUU0/x6KOPsrS0tGPC69cwdgnP7cKdIDzbFSMr45la7YtiDqglQdnZ2Ttmk67dt9vtZnR0lKysLGpra+8K0dkIX/zJEMFgkLW1NaLRKDfX5L+fyWTkSFkuNpuV7jk54M9g2IpPT4a2VKZqz+iynL+lCpj1Fy2FBElI7C+04PN6Zd2G05moTo0s0TezqlaEFPKjRSbio1QStCJmJc8J4Hh1IZF4UvjFniH1e3ekukht+VitVkxGE23XB4jGYowNDbAekEeRjUYD546nTv9slexo22ZKe0ubm5U8ap7OPVn7/IXL1xFFkZ6Bm2Q77FRX7Et74esdnSbP6aRiX0nGINP2/ikEQeBocx2R+DSdPA1lTgSr2mz8y896yMvNpqLEtXlVRY0BMRAOhwlHIpxtrlTT1nXrKqPqalaWjEzEp0Oj59H6K2UiPqpIublKl62mb7GFcLtXGJhexm53cDY+Ni8h+2i1dQ8nQlZFAYQYRqOJE00Vusw1uH1kJxwOMzw8TDgcpqmpaccmpCRJ4sUXX+RjH/sYb33rW3nsscfu2Pnt5z//OTk5Ofz2b/+2jvBMTU3x/ve/n4GBAa5cubJLeHYJz+3DdgJEFZHxVistOz11lax98fv9SJKk86d4NS2x1dVVRkZGsNvt1NTU3JNjmOFwmLGxMf7x4rymLSQXVjpGlhAEgZZiW/yOPsagW8BsNnGsIi8x8TOxqm5vK9We569MqeQm0a7SC5z1r5Pw+fx0jizGWyp2TtUlTmK6/CyNFiId6ZHXl4lP39SS2pbLNLGlJT43hkZpLnVyuqlcjdJQRp7DkbDqJN3bN4DNZuPc4UYsZgsXrqTmVt3ov4kzN3vLmp3t6HWU5yZn5/F49UGgkiQlBMkOBw+dOZHWwFARXZ87cYQLcW8fLWa9UbyBCAfqyjibJFxGkogJiWmoq6OLCKLIwaoSBua0BoGpOUwdg9MgQWv1HlZX3WRlZTM471X/z7VERkt2dNvIQHw6MoiXMxEfLdnRrR8nPqIgUr8nG0mSuBl/X5uNqX/zx+14/AH2V+yRTSVr9xEOy9+d33zDMd3gwat1Zwe58jQ1NcXs7Cx1dXUUFxfvWGV7enqaP/3TP0UQBJ5++ukdrd5sFePj4/zqr/6qjvA8/PDDKgG7fPnyLuHZJTy3D9shPJcuXeLw4cObEoo7OV6uiPG01aDt5mWtra0xMjKCxWKhtrb2nrRLj0ajjI+Ps7KyQnV1NSUlJfz1zzYfXRcEUSVCgiDQkG8EJCwWK4PumGz0Vluo3rFeHFthelWu3ujzswrVyk06E0GZ+Egc2ONgbW0Vu91Bfn4+JpOJi6PLTCcZDJ5KIjedIwkSlEx8Om/KkRPTKz7Vdwjk1PR0UFozU4tuyvIS7ZTT8TH1WCyGe9VNLBpjYEhe91DNXiLhCFGNvsNmtXGtbxCTyZSSiaVgs7DPVL1OPEIiiTjJzsklKglSnKY9Hi9DEzPYbLaMx6AlO+mg6HAM1iS9TpqR6s6hWXnZoXrZTiASJRwJc2lwGkGIIYoSrVVFamQEBmjYk6Oa8mkrT8lEpmNgasNqkRoVsr8iI9nRQiE+p5srM5IdSLSvLg1N43A4GByf4UDNvk3JTtv1AXmb8c9J2/J77vN/TDQa1XnjKO7sDodDR4S22o53u93cvHmToqIiqqurd6x6HQ6H+eIXv8h3vvMdPvOZz/DmN7/5rg2HJBOe733ve7zwwgs888wzVFdX7xIeGbuE53ZhOwGiXV1dNDQ0ZKx83Cs+OhvlZWlJkCAIjI+PYzAYqKurIzc3944f62bQho9WVlZSWlqaoi350k/12ovMeh35+fuqC4hGo4TDEf6zbwlfWCTLLLEnx6zezZtMJozGuEuyrs2l8drREJ9QMMSFoTmMRhMOh4PT8RZUpzY/S1PNSSY8CrTERxISppjJ5Kbj5mzaZcpF6VSayIm27puEQiGisRgj/b04rVBZXsaZQ/oLvzIS3nZJzsxqqa9EEvXhoVablc4uOS4ic7J5sl4nHiHxm7+WtH6iVSZJsgXE6uoqWVkO+oYnMBjSOyRrR+k3IzvnjuvHztt69GT5zME6HdnZCG03RumfcVNR4KBpbx4mkxGDwYjValG1U3LbR75gd/RP0je1REtF8RackSeZXl7DGwjxu286seG6IJOe3rEZnFk23pkkRlf0gaurqzidTpxOJ+09N5ledFNelKd772nf5/WB9D47v/k/Mx6PJEkEg0EdEQoG5fZycjVIMSYNBoMMDclTdY2NjTvWYpIkiZ/85Cd84hOf4B3veAcf/vCHb8vAxXagJTyBQIDXve51/OhHP1IHQnYJD7BLeG4ftkN4ent7KSsrIz8/X/f8vUJ0NoPSEltaWmJhYYFYLIbNZlN9QZST0b0wJabN5NosfBTSk56Z1QDeUIzmvYlKjay9ibG/NEHulPF0UZRoLc1Sbf+j0SgDK3IV6FiFU9Z42GwYjUaV+AiCQE2OiMFowFXgwmK18O3Lk3JCut1CWUEWp5JDQjUkKBPx+dbFUbzBMM2leRv67yjEZ3rBjdcfZP/enBSyI4kSHq8Hv89PXn4eXV3dYAAh4Mm4XSVL6dzxeMVFEx7ace0GQkxgbslNSVGBGqpqMpmZXVzG41tX21LJY+bpJq6U58PhMD9ru4zRaMDhcNA7NKLT/mgxtejG61/n4H7ZBDDZXwcyk51kPPtKL75ABGduFhV7XBtWVSRR4qWeUWZWvFTukf/eZ/ZXxC0uoqpAWg4QFTCZTAzM+1j0hSgvypPbSBsIldMmn+/foMoTnxSTNGT6TEs14XCYlZUVrFYrBQUFmEwmNSRWFxCqcd/Wkpvk6o4WGxGeTIjFYmolWiFCSnU9Fouxb98+SktLt20SmAmTk5OcP38es9nMX/3VX1FVtXmkxp2AlvD09PTwhje8QR2Bn56eZt++fVy8eHHHQqpfo9glPLcL2wkQHRwcxOVyUVycCHh8LRAdBX6/n5EROeCxtraW/Pz8HWmJ7SREUWR2dpapqSn27t1LZWXllkvbv/1/OnW/y1NUqbqcTCPm6cTLkiTRPrwot8RiAo0FcmaWyWRCEAQGVqLYHQ7ub9zLxdEEkTlZW6QLCE0rSk5DfHQTW3XFdN6cT6yTaWIrPoosRkO650/Vl+Dz+/CsecjJzSHPmccrbW3AxuPN3/juf+L1+jjYmDqRI1dp1jm0X74Qnj56KGEQeL0vHh5ajcViwWqLh6reGMRgNHK/Qn6udAMJj53yvcUEg0FEUcLhcPDg6eNq5EU6gXRyCyvZXwdgYCHAgdryTclORzyhXqnqdGgCNHXERwL/up+2/imsVisPHW2UjQM3ER639U8ixAQOVRYSiUToGl8ECYwmE8frStRwVZPZhAFDPB8rsV+1tZWG9ChkR7v+hRuj8c9S5MEjjaqXVTqyo9uWhvjcGBrlQF3FjpGdZChWFyMjIxQXF+N0OlWPnPX1dQwGg2oSqA0t3gpCoRDPPPMM3//+9/nc5z7HL//yL99T5+R0Gh4FuxUeFbuE53ZhO4RnbGwMm81GaWnpa4rorK+vMzo6SiQSoba2loKCgg3XT9cSCwaDqkOythq0U0F6Wgfn4uJiKisrbymLK7nSA5t762SOlihMeV4UReqcEA6FyMrOpmdunXlvmPWIQJbFwC815KuVIKvFgsFo3BLx6ddObKUhNlriAzL50SZon2pIaGIkCV7uHo6He5qx2x1EFxMXtExk58LFq+rP6aacLlyWicq5+9IEcGoqOBJyNfHC5ev0j0yQ7bBR7MrHaDDoW4YGAy11lQSDQVwuFw6Hg7bLqVNaWmym1wGZxEwvuqks10drJI9UJ5Md3TIN8TlaU8LKygoDi+s4HHZ1qkm3fhriowjIkytGkiTR1jsup6iX5xMJR4gJMQbmPJhMJu5rKFM9coxGo85YUiE+yWRHkiQ8Hg9+v5+CggK6JxLfOSkmm6tuptkBeax/amGF8mJ9Ffvs4aYdITvr6+sMDg5itVppaGhIS2S0N2Fak0Cr1aojQdopVUmS+OEPf8inPvUp3vWud/GhD33olo1Rbxd+4zd+gxdffJHl5WVKSkr45Cc/ye/93u+py3cJj4pdwnO7sJ0A0ampKWKxGOXlslHdvU50AoEAo6PyHV9dXR0uV6ph3nagFSkmT4lpidB2iIrW2LCgoIDq6uodaaltRHy2U+1R1lWEnz8adBMSIM9hTUxsxdfpHFkkFq8ENRdZZMsDwBqvdvQuyKTxtIbQaDU72hDSTBNbIJOfvokFnDYTv3ZSf/ENhZRwTxMFBS4sFjP/+u0f4PF42b9XL0Y/e6RZ/VkhO5nGuTORnQuXrzM5J1elkltPk7MLOiGyEJ+Eart8nUg0SlPVPkwmE3a7nCl2vf+mLJA+eTTtGW+rZCfd+2hP0uwoHjsb6XVi0SgvdQ0hSRKTaxFaKotTYhpS9h8nPn1Ty3HNTuZ2lJYkIYmIksTRmj1q+Gw0GkWSJLlaZrXSM7WC2WRiZtkbNxWsRCKueXK7yc7JIT8vT3dO+uYLF/H4AxyokgnxRiGxiodR8jpt3UN864kPbfi+N0MsFmN0dJS1tTUaGxtTZAFbQSQSUQmQz+ejo6ODL37xi5SVleHxeMjJyeGJJ57g9OnT9/R5eRebYpfw3C5shfAorSuv18vAwACCIKSNQbhX/smCwSBjY2P4/X5qa2spLCy8K1NiWm2Q3W7XHYPi9zMyMkJubi41NTU7LijcKumB9NUeZWLLsx6hIteALX5hPlVbmHE78j4S01zypE+EcLzt0zXtZdEfIRCVqCu0y1NidcXx6IaE67KClIktTVCoJCRiUURBpDbPgChKuFwubDYrL79yQV2eHCR64UpidLuntw9nlp3KfemnvnqGxtJqaSbnFlS9TqZMLC1eudRFNBplYnqO8r3F8t/bYEAUBCZn5vD6/dSWlyJKIkaDMVENMpsYGJ8lz+nUHUMyqclEdpLx3Cu9eIMRDtRVpG1DKeQ2GAgwthbDYrEwvexRqx6n96cGx6rHEK/qKE7KG62r4B9+eAmnw0Z5cV7K8SjBs4qu7OrNGUYXvdQU5WAwGmnam4vZYqGosDDlRiO5jZVJrwOZyQ7An7znVzd9D5mgVG7Hx8epqKigrKxsx85FgUCAp556ipdffpnXv/71SJJET08Pk5OT5OTk8Pzzz6vyg128prBLeG4XNsrTyqTRkSRJjUFQHkrJVXuR10YH3AmEQiHGxsbw+XzU1NRQVFR0T0yJ+Xw+gsGgOiVmMplYWVkhOzuburq625pbs90W18Ccl/2luUgSRCJhwqFw3EvHxqm69G7MyduRl6VOcyU0OxKiICIIsmB+f6GVaDQxDm61yZNQXdOehPtrNBGBcqo+QUwEQU4Ivza2hMPhwGyRx6Ijc/FprQ0S05UkdIBzRw+kLFe0NpDGSye+LFN6efI5a3x6ljWPl4bqchx2Ow+cTITwptPrCIJAOBKhvatfNcBrbazFEvdSuj44Gm+LyS3VgeUw+fn5PPJLpzO+X0iM+J85WKfzswE43VQeH4WXAz775v0Y0LcAOwa0rSs9mVFbWPG2kzYFPRPx0Y2iD2ysB1LaWCcby1hZWeHqyDwWixlJkthfmqerBnWPzqreQcnnAC3xAU3La4fJjtfrZWhoiJycHOrq6m6pRZ0OkiTxgx/8gM9+9rO85z3v4YMf/GBKVdjr9e5oyx3SOyU/+uijfP/738dqtVJXV8fXvva1W6pe7UKHXcJzu5CO8NyqGDmdO7LRaEzRvey0O3I4HGZ8fJy1tTWqq6vZs2fPPVNt0sLtdjM8LLu4OhwONccsOzv7lltiW0Ey6emME5WZtSC+YJT9Gr+dmdUAxdkmQqEQxyryyM/Lwxj30lGQ7MOzGfHpn12Lp65npfHfSWgt7qtx6YwBI+EIvfN+VoIigYhA4x5Zs3C6fg+SJLG2tkYgECA/P5/sbDn48ZXOy0wve/F4vDTtSYz3nknSnShkJx3RAS2hSaPX0ZAdLSmaio+dH2xUJrRaiUVjvHChEyR43dkTKRemjcTJF+JxGEobTVcti7d9bsz5MRrlapAlKzcermoEDCnvWUt2kvFy94hKyh88XM+lYVkzlUnvlEx8ksmOft1U4rOR2Dkd8WnvHQNJoqUsH6/XS35+ftwvy6DqjSTgeMM+2q4PIggCzfvyEQQBg8GAzZZIUbdarSoR+PcfvoLXv05LdWKy7+xhOU/rVslOJBJhZGSE9fV1mpqadtTuYnh4mPPnz1NQUMCTTz5JWVlmQr/TSOeU/KMf/YjXv/71mM1mzp8/D8DnP//5O3ZMv6DYJTy3C1rCczumrmKxmI4E7YTuRUEkEmF8fBy3262a8d2LREc7HVZfX69LOc7UEnM4HLrPJ7kldiv4ra92qD8nMrYSralgMIjb7cZmszHskTAajRkrN5nNBxWTwiX9wk30OckTW4pIWULiWGW+Gvx4bWIFQRCQJIlDpdnqBIvVauXCxSvy6xv0Y+nJU0zd17vItZmoLE1tYZ07cZhv/MdPgFRNztTcohoTUaExDjx3XOuqLEdSiILI6toqF6/34XA4eOj0cd22vvwvz5GXm512PwCY5P+HdAJpBZ3DCyBJnDrcohsHj0Si9E4uYTKZ1JF5sz0Ho9GQQnYikShu9wogp4RfHp6jf9qNM9vOw+fSk0EtOgYm43qdog3Hx+V1ZeIzveyRNTib5GgpxEcSYkSjUWpdNhyOLAoK8jEYUisXHX3jTM4u4F0P0FK5R9UnCRoXaeUhSRJ9YzOYTGZOtVRjtdowm8209wxx9vD+WyI7kiQxPT3N9PQ0NTU1O3o+Wl9f56mnnuKnP/0pTz75JA8++OBdOddtNGX17W9/m+eee46vf/3rd/y4fsGwS3huJ0Kh0B2dutrKRd7pdGbUBUWjUSYmJlheXqayspK9e/fuaOl2pxAMBhkZGSEUClFXV7fpdJiCTC0xi8WSkiW23ff9v18YSnmu7eZi3BzNwAP79+lclxVsxXzw4ugyM6vBeOK5hbcfT72gbTax9fyl8fjrzbz9uPYCqpjIrZGdncXAYlD1MBkcGccuhSnKMnK4okC9i7fZbLpq4ssX2tWfz7Y2puz7G9+XXZA9vnV+/z1JYZ5KVed4phaWTHYkSeJnbZeZnF0gGA6T78xNdVWekSstv/GWN6UcA8C//eAFPL51DjanD+08d7xVHd9P578Dsi9NJBLl4vA8M0se/OEY1SX5GI1GjtXuwWy2EAoFiUSiFBYW4nDI+rGOIcXQMfG9Or1BW7BjcDqu13HG191Ys9MxMEnf5KIsaN5CcOg3X7zKmi9ATXEuDx1txGzOfGOkBny2VOn1OmmE2Reu9iKKAkfqylSyGIvFMBiM/N9vfVBnELiVwM61tTWGhoYoKCigpqZmx0I+RVHk+9//Po8//ji/8zu/wwc+8IEdrwBvBxsRnre85S28613v4j3vec9dOLJfKOwSntuFvr4+Hn/8cVpbWzl8+DCtra3k5ube8bsHrUOp8giFQlitVp0XzvLyMktLSxldh+8FaLVEOymaVqbElMf6+jqw/ZaYQnoikQirq6tIkiz07ZrxAenH0dM+P7pM/5wHp92iRj6crClSlylIWw2KEx81MV0jVD5VW6zz44nFYlTnCBoTOfli0t6TaNUJgTWQUCM0YkKMpkIrgiCnp/f09suajsONOoG0ApXQpBs5T0N2Llzp5sbgSKLaI0E0GiEYCrG86qWmcp/qu6PbltLCOp6uhdWr/pyuxQVw4WoPc0ETvmCEQ81NQCLtPRlKlUwdR5egrW+cUChEJBLlYHk+IKnaqb45f1z3Uq3+X2mzyZKJjxIamhhD17Su0hAfpWIjR0dsrNcRRZEXr/YTi8V44FAddoddZ0OQ3GrTkh0tkvU6AFJMbiWna+198DfenJLXt1FcRDgc5ubNm0SjURobG3c0f29wcJDz589TUlLCE088QWlpqnv4nUYmwvPZz36Wy5cv8/zzz9+TVfbXGHYJz+1CJBLh2rVrXLt2ja6uLrq7u1lfX6eurk4lQYcPH75r7aJIJMLa2hrT09N4PB51jFc5+TidztuiC7rVYx0fH2d1dZWampodDf7LhFtpiQWDQUZHR/mXq0u4XC7ddFjGqk78+ZnVAGX56a3vN5vYSofnL0+oFaFfO65viUQiEVbcK/QtBHA4HJiMJpUgKWRHK2DWQpnQGevvZs3jJcsQoaRAjhM5UFelXuS7b45jjk9D3R8XEisER9fCKtVXaaZmF+Kp5K2EQiHcbjdWq5X+sSmMBqPa2lKgEB3YmOxkIjqgJ5HKJFb7jVHdOgr5SUd2AoEA7lU32VnZDMz7UL6aJxvLaBuQs7IOlBUQiUQQRRGz2ay2C69PLMdJkIHTTWUpZEeLdMRHS3Z06yYRHwkJv89P240RbDY7Dx6uTzn9JxOfTGQnHf7+uf/EmWWjYo/c0tVaE/zJb/1faV+j3Ixp7SgCgYDqUl9SUkJpaemWq0Gbwe/388QTT/Dyyy/z5JNP8sADD9wzJCId4fmnf/onvvzlL/PCCy/c1gGM/0bYJTx3ErFYjMHBQa5evaoSocXFRcrKymhtbeXIkSO0trZSU1NzWyssgiAwNTXF3NwcZWVllJWVYTKZiMViae/CkisddyoiIhqNMjk5ydLSElVVVezdu/eunqAytcRMJpNqQ1BZWUl5eTl/82LqHTDoiY8W/bNemktzty1cVpelTGzFNTua349X5qvhnlpC1jm8wPSyB896kFyLgXJXNidrMrcJf/7iz4AkJ95LcgtKkiQm44Smvqpc1gUh65bMJjMms5wr9sB9R3SnH8WPB+BkazNutxtJkvjOT9vJz5V9fipSWlizeL3+tM7NAFPzS3j86xxs0rdetORH+Qw3GjlXyE//wjp52Q4efkB2WY6EI6ysrGA2mylwFeguyt9qG8AbCOPMtvOOs8267cViMdUTR/HF6Z/zMrEaoqHEyammcmw2a1o9DWxPs9PRP0ksFiMQDGI2SNjt9s09f/om4uP8AX7vf57dcF1ATZE/czDxObd3D/Kt//f8pq/VYnl5meHhYYqLiykoKFAnVv1+P7FYTL3ZUFpiW51WFUWRb3/72zz55JO8//3v5w/+4A92rDW2U0gmPP/1X//Fhz70IV566aXdEfidwy7hudsQRZHJyUmuXbvG1atX6erqYmJigry8PFpbW1UitH///lfdYxYEgZmZGWZmZigtLaWiomLTCs6t+uG82uNUCFlFRQX79u27J1tssViMiYkJFhcXKSoqwmKxqDb2AD8Yi2G1WrmxEMJsNqmfT/+cV9biHNO3J17VxNacR57YynekTGwJosjLfdNEY1EcdgfnmvaqraeEtiQRMdGRNFYt77MgLdHRQuvBo5/Ckj1fXrncjSAIHKyvIhaTs8SsVivP/vBlnLnZVJTuIRQKIcQEHFkO5hbl9/zrv/pLqftSp7BaU5dlPA79SPyQ10h+gYvK0j0bGvlp24AYzUiiRDAURBAE/sehmhTn3c64b8/p/RVqxQbgVOO+jPvoGJxmaslDSZ6DWEygaU9WfBzcrIaG2mzW+IXaQMfAlKzZqSzOqO+JxWKsrMgu3i8PzuMLhOX1N3ivAG1dct4Vgt4pPlmzoxAd0JMdgA+/920b7kOLQCDA0NAQRqORxsbGtL5Z2ptudygPAAAgAElEQVQN5aZss/BQgP7+fs6fP095eTmf//znKSkpSdn23UY6p+THH3+ccDhMYaH8v3769Gm+/OUv3+Ujfc1jl/Dci5AkieXlZZUEXbt2jaGhIcxmMwcPHlRbYocOHdrSXY4oiszMzDA9Pc3evXupqKh4VXc4yZUOr9dLKBR61eJfURSZnp5mZmaGffv2UV5efk+01JKhPc7y8nLKyspS3qcoiuqJ+Y++NUBjgUnXzuhdDGM2meSJrRRys9WJreWkpZqJrZpCREnC6/Xi8/nIy8sjNzdX1fj0z6ySazdRlmffMEQU4Ov//hwezxrZhHRp2ArOHT+kkgwtwVAuiDeGxsjLkTUY2irN5Ow8kighSiIPnThINBqVQzHHZtQpqPtPHNZ9B3QtrA3IzkauyRfHV3Xb6Ij70CjQEgKF7JxuqUmJWeiZcideE9fhaMmOFpmIT+dQwvBRbVNp1j1WU6xO0ikC4P45nxwVUV/K9cllTCaZTCuvF0URj8fD+vo6LpeL62ML6jHp4iTSEB+F7KRodnr0FcvJuQXKi5wpRAe2TnYEQWBsbIyVlRUaGhpuybFdEARdS2xhYYE//MM/pKSkBIvFwszMDJ/61Kd45zvfec9VdXZxx7FLeF4rkCR5mub69etqO6ynp4dIJEJDQ4OqCTp8+DAul0sV/r300kvk5uayZ8+eW86R2ioikUiK+Fd7B6Y8kkmMKIrMzc0xOTlJSUkJlZWV9+TJSZIk5ubmmJiY2HYAqSJo1rYzwuEwN+aDGIwGjuzLwWqzYbNasVitXNJqfnQTWyvxtPZovEqU2s7oHF0iEo4QCoc4UVVAXl4eRoPitqwZaxcF3euSs79e+umP1Z9P1adPWf63/5DX8fjWOdiULl5A3u+540nam3il5XBTDWtra+Tk5JCXl8e//8dPECWJ0iKXKpKWJLkltriyij8Q5EC9LP5N5vk9g6Pk5WbrXZOTiI9CdtKRJUBHfvoXArSUF3C6pQa/3687Tu1NhtJi6p9Zo6XctXGLSUNmlNNopgqNniSVqfuSJIkj1UVySywcIRKN0Duzhskofxfri+SA3vz8fDrVkNBkjc+E7vfTzZUZyU4yLly+zo2RKQ5U68W+Z48e2BLZkSSJxcVFRkdHKSsro7y8fMcquKIo8uyzz/I3f/M33HfffZSWlnLjxg1u3ryJzWbjM5/5DG94wxt2ZF+7eM1hl/C81hGNRunr61MrQdevX8ftdmOxWHC73Zw7d46PfvSjVFZW3pW2kPYOzOv1qrogJUIjFouxtLREcXEx1dXVd3U0NBN2Kpcr3eg6QMfIcnwKKsb+QjkrywCyWHclyuhKCKfDSrkysRUnQKltLolAIMjq6ip2u538/HyuTMhViGl3gLJ8uVVwqi6NX8/NBd3vV17+MS3lroxEBxIVnGQyA0ltJc3yv//37+HMyUYURVzObMxmM3a7nek5eZrM4/Pzv37jrfptXe5CFEUEQeBwUy3hsDLqLAuke4bG1LgI7QSXtn01L+TgC8fILyjkna87lvE9AXQOy8cyveyl1OUkGAxypMoVn2RLJbiK8eD0si8xRr5B+wrguXZZ49NSUbTpugrx6Ztcorm8MK27cjgUZnl5mb54UKgoiAjRMAaDgWO1JaqdgMViSakId/RP0DMwjNNhobw4j7OH0o/tQ8IuIG1l53fekfJcMvx+P4ODgzgcDurr63dUD9jb28tjjz1GXV0djz/+eIr2JRAIIIpi3FhxZ5DOJdntdvOud72L8fFxqqur+eY3v7ll64xd3FbsEp5fJIiiyDe/+U2efPJJjh8/zsmTJxkZGaGrq4uZmRmKiopUXdDhw4dpaGi4K5UUQRCYnZ1lYmICc1zEGovFsNvtukqQMqJ6N6HkcmVnZ1NbW7sjuVyZiI9W0CxJEoImJkKIyaaAB/fasVltakyE2Wzm4tgKsViMYDDIob1ZuFwFqq+K0vbqn/XQvC9hzJhczVHw85deAuSAzlKHmHadG0MjOLPkzyHZC0eewFrHmZOVdpkoirz+vkNggEKXnNOkEJOzxw6m7OtCPOU8HakSRZGXL14jFovR2lijGt9Z4qGqVqsVm9XK1fkwBmSxcrsmrRxSR8IVsnOioQy3240oioy6Izqic6oxUdlQyI62StOhySVLR2YU3ZR2KivTuqDJ0VrxUlaYqztuQRBwu2UhemFhIVablfbecaaXPXjXQ+wvL0QQBForCwmHw2q+nxIVYbPZuNI/itFo4HRzFe039GGoWvLzashONBpldHQUr9dLY2MjeXmprdFbhcfj4XOf+xxXrlzh6aef5uTJk3fsvJHOJfmxxx7D5XLxkY98hL/8y79kdXV11yX53sAu4flFgtvt5vHHH+fDH/5wijhPkiQWFha4evWqKo4eHh7Gbrdz6NAhlQQdOHBgRwXI6Y5xZGSErKwsamtrcTgc6vGFw2FVc5Kck6UIpG/FFPBW4PV6GR4exmw2U1dXt6M+IJBKerRkZ2DOS25aUfMKgij74bQUW4mEI0RjUQRBwGgwMuY3YrVaGFoM4IwLmCHViDDZrflkjUslOvL66TU9ugysoy2py5WKTxJxuXClB1GUCIWCtNSWU+gq5Er/CFPxkNC8nCwqktyZJ2fn5dH17KyU6SyAyelZvD4/zpxsHbE6e+KwHIoZDhOORLi+EEWURI7sr0uJQUhu6xhMFjU/KhAI4HK5UsaBtf45yukzc0sqlfhoyY5+3fTER9mfNrusY3AaJIlQOEx9oY2C/AL5+2mA9t5xeRuaKpB+3LxSFxza0a3EReSpInLlc7oyOKm+x+6eGzgdVn79Vx5KeZ8bkR1JkpidnWVycpKqqipKS0t37NwiiiL/9m//xjPPPMMHPvAB3v/+998VzV/yhFVTUxMvvvgipaWlzM3N8dBDDzE4OHjHj2sXKdglPP+dIcVFrYpf0LVr1+jr60MURfbv368blU/WLWwXHo+H4eFhrFYrtbW1WyYQyaaAfr8fg8GQogvaqUpVIBBgeHiYWCyWEldxO/BbX024FJ9KChxVkM6wUBRFQqEQDfkG8vPyMZqMXBpfjVeERECKt3nMnKwuiOccpV4MvvnjNlmbYghTVqD/m2ijJFSTwA2IDshkpy2eVQXQMzRKtt1KYZ48yWe1WgADU3MLVJTuSSVHmvH0tBUfne9Oki5I4848HMkjv1Ambu988LAcGqrRTimVDqvVSv9SiJEFLzk2CwXZFuw2Ow8cqMz4fe+8OU/f1BLOLBvlhU5ONWRu+4FMfPpn3DgdVspcOZs6LINMetKRHYj7/rjdDC+HsNttYJA9fNKRHd22NcRnan5JNbVUzAaVqAjtyLzBYODG0AhmkxkjYjxYNaHL2ojseDwehoaGcDqd1NbW7mi7uqenh8cee4zm5mY+85nPUFSU2qa9U0gmPPn5+aytranLCwoKWF1dzfTyXdw57BKeXeihZID19PTodEF+v5/a2lrVNfrIkSNb8sXx+XyMjMgTHnV1dTsS+KfVBSkkSBAEVRekPJLHhTeC4uLs9/upq6u7pYmRW8WXMrS4IJX4KOGe6+vrjK+bWFoX8IWi5DoslOXbVUdmNQJhbBkhJqg5WUaTkaNluXT1j2A2K1NiqRcLhbRMTE7i8fnJtRqo3Kuv/CTaV46U/CwlFT4UCnP2aAtOpxODwZBCjrT76xkalSs6mm2d1RCshJtyesExwOW5RGDvuROHdWZ9gI6ciKJIx80FwpEwdS47GMBoNDK4GJA9g0wmTjeWYjab1e+5Yjx4qkmuwnQOzqbdthZK20t/HJndfTsGp2VC5bDyjjP71ecjEdn3x2Qy4XK5VJLfMThN39gsuQ4rD9+/eU5X29VeesdmaalI/N3PtKbqdl65eEV12T5SX6YSIUEQ+J23vkF306GdFo1EIty8eZNQKERTU9OOambW1tb4zGc+Q3d3N1/4whc4ceLEjm37VrFLeF4z2CU8u9gaBEFgaGhIR4Lm5+cpLS3VxWfU1tZiMpno6enhxo0bNDU1UVdXt6M9+3SQJEk1KlMe4XAYm82mI0HJY/zRaJTx8XFWVlaora29Iy7OmbAh8RldIRwJq+9JJnPycZ6qLVST2iGzPgcknn35Bh6vH4chQpHDiCiKtOyxY7NadVNiFy5eVV+VnA4O0BYPDj2bVPG5cPUGsWiUidlF9u0pxO6wYzQYmJqTTQCd2ankaDIuWK4o3aNLWVeEz4ozszPbkaILgoSrr0J2Mrkqa8lP/7yPxpIcgoEghypdFLoKMVvMIMUn6SJhLt2cl/VTosCBvTkMLocwm8ycatyH1WrFYEx8TzIRH4Xs6EfRtevqiY9uiit+DpYkiYYiu+rLkkzk1VRzKaG5yjQp1nZVdp7WjqS39wynrCeEvABpBcwf/t1HCIfDOk+cQCCgZgUGg0HKy8upqKjYMVGyKIp8/etf50tf+hJ//Md/zPve9757xrJit6X1msEu4dnFrUPx99GaJg4ODqqePA8//DBvectbaG5uvmPuzFoouiAtCQoEApjNZnJyctQx+qqqqrReOncLWuIjAYH1ddqHl7BYLIyvydWc8oKstMRGS3xAJj/tvfqYBG3rrL13DFES1SpQX28PdkkW+e51yRYCSkSE3N4YxZktC5YrNBWfqblFRElizeujrrwEh8PBAyda1QssyGPLWuiqPUdTKxPaNPbk1pe6zuXrLJqK8IVF8l2FVOwr4VRd+lgMBR03FxhfXKUo24ojy4HZbOZUfWZDuuc7hvEGw2TbzJQ47TSXZOkE0loR+aWRBQzAtNtHuUuubGQyHEwmPmo7K97CUlrOnYMz2Ow2bFabbnsdGgG2to3VnmQcqZCfdGQnHb7xnf/E4/OljJ2fu+8Ij/7eu9K+xu12MzQ0pOrtFLNSQRB0kTXbcUhW0NXVxfnz52ltbeXTn/70Ha2+bgXJhOfRRx+lsLBQFS273W6eeOKJu3yUu2CX8Oxip7C4uMhnP/tZOjo6+OAHP0hxcTFdXV10dXXR3y8HTLa0tOhME3Nycu54NUUURaamppiamlKzwgKBACCHhSoZYlsJC73dePIH3VwYWsBkMuFwODitGSe/OObWrZuO/Hyr4ybeQIgcC5QXZMXXS5+99UrHRfXnU41lakssEgkTDke43DuEJMm6oBMtdWpF6GL3AKIoEgwGOVBbRqGrEJvdRlvXAL03x3HmZOmIEcDUwjLeeCusYm8qOZlZC+H1r+PMtlNRuiejKPjyfMIJWCFEHRojP/X9xAlQ5/AioXCISDjCmeZy+fuHgY6bGuKRRHxU48F4JaZD0546WbcnLpCW9S7hSBghJjCwFGTCHaRxrywEPtO0b8PveefQLH1Ty+Q6LDx8Rg4uDQaDrKyskJWVRX5+fkro6PTSGmUFWRn1Ogra+yeZmJjA61sn127mkTec3HD9V9o7ATiTprLz2P9KTesOhUIMDcnfjcbGRnUIQcFWHJIVIpSsw3O73XzqU59icHCQL3zhCxw9enTDY78bSOeS/La3vY1HHnmEyclJKisrefbZZ+85kvbfFLuEZxc7g+7ubvr7+3nnO9+ZUilR2k2KLkgxTQwGg9TX16uGia2trbetpaRMqY2Pj1NcXExVVZXuBKt1RlYesVgsrS7odpM0v9/P8PAwBoOB+vp6vtY5u+H6WvIzvexlnzNB1LRESFtRABgfHsTj9ZFjlImDMvKsTbu+cPUGUwty1ahib6HshxMTmF5YxrcewGE1U5yfg9lswWq1YDKZmV2Sj6dy7x7OHk3kSLV19as/nz2SKn6GRKyF8jptlUeL4YiT/cVZGSs/6vaGZphZC+EJRCjPgfvq9pKXn4cxTU6VlvhocTqN3kZLfBSSpOh7RFHkcIUcFnp1bAlBEMBg4EhFvjohZrPZMBqNumgPJAlRFAgEghzcl0thYWFa0t3eNyHHSpTHYwc2ID2KCPx0cyVt3TdTlp89LBMshehAKtlJR3REUWRiYoKFhQUaGhrUCIStQpvb5/f78fv9zM/P87d/+7e0tMjfjRdeeIGPfOQjvPe9771nqq+7eE1jl/Ds4u4hGo0yMDCgC1NdWVmhvLxclyhfVVV1yyc8SZJYWVlhdHRUnRbZanvtVnVBt4pQKMTIyIhKBPPz83XLv/TT1AsWJC60AP2za+wv0YtEkyMqXum8rP6cXNFQ3HYnZ+Vtev3rtNSUqdNZbdd6VUFy/b5CnE4n2VnZRKIROroGmFleQ5Ik9hQ45XaY2cT8qh9/IJi22qPAaE7oUrQkKRmXZ8MATLv9OkdlSK1edY4sIQhycObh8jyG3TH1e5QpTqNzeIFptw9vMEpLmSv+GWVukSnEZ2bFT5krO6MYuWNoNm4uKdASb4ndmPViNBo5Vi3nsIVCIcLhMOOemOqjdFrj+dOuHS+Pt72Sc8+05EdLdtJBIUAy8fXSUpX4PO8/KZszpiM7S0tLjIyMqG7jO0VGBEHge9/7Hl/96leJxWI4nU5mZ2fJzc2ltbWV3//93+fgwY0J7i52sQF2Cc8u7i2Iosj4+LhOFzQ5OYnL5dKFqTY2Nm7aclpbW2NkZASbzUZdXV1Kuf1WkU4XZDQadSRIaZdtBbcinP7ST2/qiE6mVpU2+HJ8dBiPz0eOSaDclRhBV8aStdUUQ9K5YWp+CY9vnWy7BVeuA4vFIjskx6s/Xn+AA3WyVuTs0RYkUeKVrn5iykW+ai+iKOoM77pnfBiNRqbml/EGwhxsSB9pcKphr0p0IDXEEvSkD0AQZCPG5j0OXC690Fe7rpb4KJ+VXnSsWTcN8VFe0ze9QrNKkDLrgZQqm7x+AcdritV8LuX7YjQa5by1Wa/qII0gj9FvONKuIT/Xr1/nYF3Fpnqdly+0AXCmtVF97sLlbu4/eSyF7KyvrzM0NITFYqG+vn5HTDgVrKys8MlPfpLh4WGeeeYZDh9OCM89Hg/d3d3U1NRQXr5xC+/V4umnn+arX/0qBoOBQ4cO8bWvfW1H3+cu7ip2Cc8u7n0o0Q6KaeK1a9fUbBxtmOrBgwdxOBxcvXqVy5cvc+rUKerr63d0LDYTYrFYil+QJEkpfkFakqboiWZnZ19VKvz//lFfxmVabxqAk0mVjfaeISZn5CqFx7fOAc1d/tkj+9U2VCwWo760AJPJjMvl4uKNm7r1tGjrToiuzx7WL4tGo3LlJSY7SDdXlWAymXTCX238wbevTeOLiDizs6koke35M5E7gI7hRfqmVrCboKIol/v3l5LpPKeQmf7ZNZwOi5w0n3G0PJX4pCNIHUOprS79duIxFCs+9jrtBIIBjlbqYysUPxzFE+fHPVOsh2PUFmXJvkoNpVit1rTeU690XgFgamFF1W0p0E7UKUQH9GQH4Pz/8z7d77FYjLGxMVZXV2lsbEypPL4aCILAP/7jP/L3f//3nD9/nne/+913rX01MzPD/fffT19fHw6Hg0ceeYQ3v/nNvO9977srx7OLHccu4dnFaxOSJOHz+ejq6lJNE69evcrS0hJOp5M3v/nNvPGNb6S1tZWCgoK7MmouiqI6raI8otGoGpnh9XopKSmhtrZ2RyM+FAKkkJ1kkqOgTVPROXOwVr8sTnREUaRhnxxPUFjowhqfFGrr6leJzoff+/YtHddT//xdAC6OLOmIkCAIhCNhImFZ+BuNRBn0mdUJsVP7K7DGNS8XRxZ121TIT+fwIpFIhFAoxH21xeTlOdVkeHXdJL+hTu22NOe7jdLjO2/OJwhSQVZGgpSO+Chk53hNcTy2QmB0NaYSneRtaSs2JxtKiUajdAxMyqGqMYH9JXIWmaILutojDwekG0lv15DQ69euyKaJJQniqIzya8mOJEnMz88zPj5OeXk55eXlO/Z/JEkSly5d4iMf+Qhnz57l4x//+G23rtgMMzMznD59muvXr+N0Onnb297GH/3RH/GmN73prh7XLnYMu4TnFwVPPfUUjz76KEtLS3fVdfRuwO128+lPf5q2tjY++tGPUlZWphKh69ev4/F4qK6u1pkmlpaW3pU7yeXlZYaHh7HZbGRlZREIBAiFQlitVl0lKDs7+67miCl39W63m7q6OgoLC2/78Xzh+VcAuDQT4FRTeXzyKUIkbnintsTifkHdsz5m10J4ghHsRpE3NhZkDvgcTpCbk7VFKtlJblNpQ1TTEZ/EdjQEaSONz9Ac/TOrOB0W9uU7aCp2sL6+jstVQFZWoq2YLCiXYrKnUKaRdtlTSEIUJa5f6iDLJLK3tJSmkhw1VFUbE2E0GnXCZC3hfOVyF9/7P0/rtu/z+RgcHCQ7O5u6urodtZVYWlri4x//OFNTU/9/e3ceFOV9/wH8vexyLPehIKfcKCIQjYhNiE0UTU2qGTXGjG21ljrpqD/T1MZbo7UGb6kO40yNBm1NNU6smlhyYEmNUQwREALKcskNgsCyF7v77PP7Y30ed2FBkYVd8POacQYI+HwDKh8+38+BtLQ0q6rLSUtLw6ZNmyAWizFr1iz885//tPSRiPlQwDMS1NTUICUlBXfu3MGPP/74zAU89fX1yM7OxuLFi00GMQzDoLy83Kg4uqGhAd7e3kbLVMPDwwdtmBm3m4urf+heT8TNBOJ2iXF1Qc7Ozvwesf7UBT0tbrZSbW3tgK7ZzOHwN3eM32CwA+qHqgfQPrwWi/IUoUKqX4ipr3mxwVQT06MB4LMfqiBVqvWzjDydTE6ZBnoGPoYB09QIH4P3e0yNj6QRLACNugtKpQr29nZIiu59bcWNu7UoqbkPFwdbBDzsmutrKvPV764BAHQqmdHbGYZB/Phw/mosv/An2NjY4PnoUP76UCQSQQAB3v/DUv7jNBoNysvLIZPJEBUVZZbJ6BytVouPPvoIx48fx8aNG/HWW29ZVfdVW1sbFixYgDNnzsDd3R1vvvkmFi5ciF/9qmfhNhmWKOAZCRYuXIgtW7Zg3rx5yM3NfeYCnqfBsiwaGhqMlqlyS00Ng6Do6OgBtaIrlUqUlZVBo9H0ezeXYesuVxek0+ng5ORklA0yx0/fXJ1URUWFybZ9a3D4mzvIKb/Pz3YJd7eBp6cn7O3s+ExQl1qN23WdEAgAoVCISYHusLe3Q36tlP8acpkbwyut3gKfz25WQqrUwFVsi/lTgns9W/fAh3tdyzAIcbWBra2+9umHbldyhnU+/OBBgwDHaPIyHgU/XKADmG5L57vtamvRIe2Eq5MY/qM9oWX0QWJMaCDefPUlfjmvs7MzlEol7t+/j5CQkCdaG/OkWJbFjRs3sGHDBkyfPh1bt241ayBlLp9++ikyMzPx0UcfAQBOnjyJGzduID093cInI2ZCAc9wd/HiRWRlZSEtLQ3BwcEU8AwAt6cqPz+fD4KKi/X1MOPHjzdqlXdxcenzG4JarUZlZSU6Ojr4KyFz0Ol0UCgURlvlNRoNHBwc+EyQi4tLvzbed3R0QCKRwNHREWFhYf3aQTaUWJZFXV0dampqcKXeBi6urr3+C6ZjWVwvbURduxIylQZikQBJQQ4Q2doardEQikRGdUFc4JNjUP8zNczbqNutrxqfz25W6DNIDiK8FOICjUYDL69RsLfvGZRydT61rVJ+s72pmT/8+z8Mfm59dwUuIgZv/WJ6r+8LANdy8wEAP3uu55XR+yuWANBndBoaGnDv3j2jnWHmCqqbmpqwdetWNDU14dChQ/yMHWuUk5OD5cuX44cffoBYLMayZcvw/PPPY/Xq1ZY+GjEPCniGg5kzZ6KxsbHH2//6179i165d+Oqrr+Dm5kYBzyBgWRZKpRJFRUV8EHT79m3I5XKEhYUZBUE+Pj6QyWRIT0/Hiy++iNDQULP+pNzXGblptty1GLfeg/uG5erqCkdHR6MrBKVSCYlEAoZhEBERMSTdbE+rtbUVZWVl8PT0REhICJ99Ovx1SY/3zaloMXp9augoPoBhdAxixzjyGSEtwzzsErNDcZMSTXINZCotxvm6mlxRYRj4AN3b2psBsBg32gE3y5rhIHaAna0dIOhj7k9pg75F3c/j0e/ZS03Q/7Kv8C8z8j6WURr8eese7HCBDqAfryCRSKBWqxEVFQUnJ31NEVdsb5hdVKvVRvOnnJ2d+6wz02g0OHbsGDIyMrBlyxYsWLDAqq6verNt2zacOXMGIpEIzz33HI4dO2a1PwCQfqOAZzgrLCzEjBkz4Oiobz+tra2Fn58fbt68iTFjTHePEPPQarW4e/cuXxd069YtSCQSsCyLhIQEzJ8/H8899xxCQkIs9g89VxfE/ZLL5bCxsYGjoyO6uvSLSMPDw+Ht3ffuKUviZr8IhUJERET0OUvp8NclfLDTWw2PUebm4UBGLcPgRlkzPxiQ0WoBgQBCoRCTgx5NR+7+deSCnzsNHRg3xhUajQbBLvrsiLu7GwQPpznnlPWc+5Nj2MVl2NZ+t+e0567aR910UyN7n8PzfcEdftFqTKRx192/03fyL3PjEBoaGp547pPhXjrDhaFcnVldnX6lx+TJk1FcXIyNGzciOTkZmzdv5gMpQiyMAp6RZCgzPH/+859x6dIl2NnZISwsDCdOnDDrfI7h5OLFi9ixYwdmzZqFxYsXo6Kigs8GVVVVwd3dHRMnTuQ7xKKioiyyTJVbB1BXV8fvZ+LqgrgVGty1mCXOZ0itVqOiogKdnZ2IiIjo158tU1mf7rjA506DFON8HxYHG2RhdDoW1yWN/LwghmEQ5WWrXxb6sPPpdv3DwYmtMnjYsRAIbJA03r/X2qecskbUtSkgVarh6iDC/OeDH3vOTy58ifb2Nowb/Wj4nak9V98X6Gt2Xpgc2+O//fl3i/iXW1tbIZFI4O3tjbFjxw64CJ5hGMhkMnz99dc4f/48ioqKcP/+fSQkJCApKQlxcXGIj49HYGCgRbsOCQEFPCPLUAY8X331FV555RWIRCKsW7cOALB79+5Bf641OnbsGH7xi1/A37/nT9/cagsuC5SXl4fS0p7EL9oAABZBSURBVFKIRCJMmDDBaJmquVZUmDpDc3MzKisr4ePjg6CgIKNvdFxdkGE2SK1Ww8HBwaiOg5sfNJgMhzEGBwcP+Eqwt+Dn5sOt8rVtcqMBfd3XcHC4Li1GpwOj1fCzcMLdbcACcHR0RGlLF4RCEWyENhBAYFQIbVggPTXch5/Jw7+tW0bKcDCgYQaIWxfBqWl+AKlMAVcnMQJ9HxVA/ywuyijQUSqVKC0thUAgeGymrL80Gg2OHj2K06dPY9u2bZg7dy6qqqqQn5+PgoICFBcX4+zZs4PeYdje3o6UlBQUFRVBIBDg+PHjmDZtmtmfU1hYiHfeeQfXrukLx2/duoW1a9fiypUrj/lIYmEU8JCBO3/+PM6dO0czK54Qy7KQy+UoKCjg2+QLCwuhVqsRERHB1wTFxcXB09NzQN/w29vbIZFI4OzsjNDQ0CeuR+CuMAyLo5VKpVFdEDcvyBxXdoZdYubKPhjiAh8u0AGAhDDjIMNwUKGpwOdmRStK6tvh4iDCaCcRgp11cHdzg1gshlqjQVdXF9RdXdBoNCi5r4JQKESLkoVczWCcjzMSe53i/Cj4qSwtQYdUCmcbDd58qWe2htPXIta1y+bzLzMMg6qqKrS0tCAiIsKsW7tZlsXVq1exefNmvPrqq9i4cSN/vW4JS5cuRVJSElJSUqBWq6FQKAYl66zT6eDn54e6ujoIhUK8/PLL2L9/PyZNmmT2ZxGzooCHDNwvf/lLvPXWWzSvYoA0Gg2Ki4v5TFBBQQHa2toQFBSEiRMn8tcDAQEBjw0yFAoFX1MUERFhtjoKjUbTY4WGQCDosUKjPy3tnZ2dKC0thYODA8LDwwe1SLTHbB8Tugc+hkHSRD9nPGhthaSdgdigE677uosbFS0P64EYMIwWWi0DgIWNjRCTAl1gZ2cPe3u7h0GdAN/d+IH/2Klh3vg+3/S6kKKye3B11H9+uEWsP3u4GsIw0DEMIP38/J7oz0x/1NfXY+PGjVAoFDh48CAiInpesw0lqVSKuLg4VFRUDMnV2YwZM3Dw4EFIJBJcvHgRGRkZg/5MMmAU8JDe9dUdNm/ePP7l3NxcfPbZZ3RHPwh0Oh1fE8Rlg2prazFq1CijeUGRkZEQiURobGxEZmYmoqOjER4ebtaf6HvD1XEYBkEMw/B1Qdyv7oFMV1cXysrKoFKpEBkZOaSzWR4X+NysfIC6B3JIVVq4Oojg6+aAEGcGAODp5WW0E82wrb22Tcm3mHfvzGIBXC9t4GuCtFoGpcWFEKML/j6jMDnYS79LzM62x/JWwwCo++6rtb+ZZ/S6XC7H3bt3YW9vj4iICLPWY6nVaqSnp+Ps2bPYvn075s6daxV/7/Pz87FixQpER0ejoKAAkydPRlpa2qAVTG/atAkBAQFIT09HZmamyetsYnUo4CFPLyMjA0ePHkVWVpZFU9nPGpZl0dTUZDQ08e7du5DL5dBqtXjttdewePFixMTE9Gsej7nP2L0uqKurC/b29nB2doZKpYJMJkNYWBi8vb0t+k3TMPi5WfmAfzkhdBR0Oh3a29txq7odYrGYD3QSQowDSa4IuqS+HeP9Hu2Emhpquh2dW/IJAJrO1odBkFafEdLpIABwv00KmaoLrmJ72NgIEOijv4KbFhvRI8gB9J2DFRUVaG9vR1RUlFl3U7Esi+zsbGzZsgVz587FunXrzFoHNFC5ublITEzEtWvXMHXqVKxZswaurq74y1/+MijPu3TpEpYtW4aVK1dix44dg/IMYnYU8JCnk5mZiffeew/ffvstRo/ufRCbuZ+5Zs0aMAyDlJQUrF+/fkiea810Oh3+9a9/Yc+ePViwYAESEhJQXFyMvLw8lJSUgGEYjBs3ju8Qi42NhZubm8WWqdbW1uLevXtwdtbvfFKp9LUuhpkgZ2dni7TyH/7mDm5WPtAXG7MsZDIZ2tvb9Z1rrq785+ymwZyf2gdy+LvrO6i6Fx7nVBgvLwWAgls/IjpQ//dlapjp5oLv80vAsvrMWWyoL79LjGVZ/Pa1F3pkzbip4ffu3UNQUBD8/PzM+vWtra3Fhg0boNVqcfDgQYSGhj7+g4ZYY2MjEhMTUVVVBQC4evUqUlNT8cUXXwzK8yQSCaZPnw6JREJt98MHBTzk6YSHh6Orq4ufIJyYmIijR48O2vMYhkFkZCS+/vprBAQEYMqUKfjkk0+senLrUFAqldi5cyf++Mc/9ujOY1kWarWaH5rI1QXJZDKEhIQYLVMd7AGJXPG0i4sLwsLCjK6ENBoNfyUmlUohl8sB6OfZGO4RM/yYwdTR0YHUC7dgZ28PTw8P2HQrnjYsMi6p78B4X+N1IYbrIgDgux/y+Jdrmx/Az9l0MFfT0IwOmQKuYjsEej/KIE2bGIE//fqXJrNmSqUSarUaYrEYAQEB8PDwMFu3X1dXFw4fPozz589j586dmDNnjlVcX/UmKSkJx44dQ1RUFD744API5XLs3bt3UJ61atUqTJkyBUuXLn38OxNrQQEPGR6uX7+ODz74AF9++SUA4MMPPwQAbNiwwZLHGpYYhoFEIjGqC2psbISvry9fExQbG4vQ0NABd0px05x1Ol2/iqd1Op1RXVBnZye0Wq3JuiBzfRNWqVQoKyuDWq1GZGQkP3n6cFYpAONAp3uRMscw+1NVUYYOqQwutiz8PRwxbUJIj/f/vuAOapoeFUUvmpHAv/ynJa/1ela1Wo2ysjIolUqEhIRAp9PxnyfDgYCGn6sn/VqyLIusrCxs27YNCxYswNq1a+Hg4PD4D7Sw/Px8vkMrNDQUJ06cgIeHx+M/sB/Ky8vx2muv4YUXXuB3bpFhgwIeMjycO3cOmZmZOHbsGADg1KlTyMnJwZEjRyx8spFBp9Ohvr7eqC6osrISLi4ufIdYXFwcxo0b90RdVFqtFpWVlXjw4AHCw8PNskuMy3DIZDK+XZ6rCzL8xt7fDAfDMKiurkZTUxPCwsIwatSoXj/+b18WmXw759qPxnNyDNdTXC8qB6DP5ADQZ3Mc9dkcbpjgn5bM6fP3N9xmHxISAh8fH5NnZRimRzed4YDJ3grJq6ursX79egiFQhw4cABjx47t8zyEDCO9/qNgXWuSyTPPVABuzen14cbGxgYBAQEICAjA3LlzAeg/521tbfzQxCNHjqCkpAQ2NjaIjo42ygZxNTlqtRrZ2dlwcXFBYGAgEhISzPZ1EggEcHJygpOTE3x8Hl0bcSsPOjs70dzcDIVCAaFQaJThcHZ27pHhMBzIOGbMGCQkJDy2duj/ZvdcxMkFQVywY2oHFwCwjAYAEODtgWkT9HUwjwtwDLW1taG0tBReXl5ISEjoM2MjFArh7u5uNIfG8Eqsra0N1dXVuH37Nk6ePInx48dDpVKhoKAAe/futfrrK0LMiTI8xKrQlZZ14L5pFhYWGi1TVSqVcHV1RX19PaZNm4bt27cPyeLU3mi12h4ZDpZl+SBIKBSioaEBTk5OVr0hHtBftXFLXiMjI83aEckwDM6ePYsTJ07A1dUVTk5OKC8vh1gsRmxsLFavXj0kdXIMw+D555+Hv78/Pv/880F/Hnkm0ZUWGR60Wi0iIyORlZUFf39/TJkyBadPn8aECROG5Pk1NTX4zW9+g8bGRtjY2GDFihVYs2bNkDzb2pWUlGDt2rXQ6XSYOXMmampqkJ+fj9bWVgQEBBhtlB87dqzFlqlyLeYVFRVQKBSws7MDy7IQi8VGW+XNWRc00PPeu3cPTU1NCA8PN/vKmKqqKr69fP/+/QgMDOT/m0wmQ2FhIYKDg+Hr62vW55py4MAB5ObmQiqVUsBDBgsFPGT4uHz5Mt59910wDIPly5dj06ZNQ/bshoYGNDQ0YNKkSejs7MTkyZPx73//+5nvEtPpdPj1r3+NVatW9dhbpNPpUFVVxV+J5efno7q6Gp6envzQxPj4eERGRg56BxbXEl9XV2dU+8KyLJRKpVE2SKVSwc7OrscKjaEMglpaWlBWVgYfHx+zB4lKpRIHDhxAZmYmUlNTMXPmTIsGeLW1tVi6dCk2bdqEAwcOUMBDBgsFPIQ8jXnz5mHVqlVITk629FGGFW7lgeEyVYlEAjs7O8TExPDZoJiYGLMtK+WCh9GjRyM4OPiJupXUajXfJt+988mwVd7cCzEVCgVKS0shFAoRERFh1u4olmVx+fJl7Ny5E0uWLMG7775r1inMT2vhwoXYsGEDOjs7sW/fPgp4yGChomVC+ovLWkydOtXSRxl2BAIBvL29MXv2bMyePRuA/huxTCZDfn4+8vLykJGRgZ9++om/xuSuw2JjY+Hh4fHEQZBcLuc308fHx/creLCzs4OXl5dRd5lWq+Vb5evq6vjOJycnJ6Ns0NMEEQzD8F1tERERZm+nLisrw7p16+Dh4YHLly9bzSqEzz//HN7e3pg8eTKys7MtfRzyjKIMDyEmyGQyTJ8+HZs2bcL8+fMf/wHkqanVavz0009GQxPb29sRHBxsNDTRz8/P6MqntbUVLS0t6OjoQGRk5KBszObodDooFAqjrfIajcaoLsjFxaXXFR/cmpDKykoEBATA39/frNdXcrkc+/btw5UrV7B3715Mnz7dKuqTOBs2bMCpU6cgEomgUqkglUoxf/58/OMf/7D00cjIQ1dahDwpjUaD119/HbNnz8Z7771n6eM8kxiGQXl5udHQxPr6enh7eyMmJgYymQz//e9/8fe//x2JiYkW2yOmUqn4AEgqlUKlUsHW1taoOJplWZSWlkIsFiM8PNys10s6nQ6XLl3Chx9+iGXLlmH16tVDNqn6aWVnZ9OVFhlMFPAQ8iRYlsXSpUvh6emJQ4cOWfo4xADLsjh//jw2btyIMWPGwNPTE+Xl5XB0dDTaKB8dHW3RDiyuLqi9vR2NjY3o6uqCWCyGm5vbU01E7k1paSnWrVsHb29v7NmzZ0i6rMyBAh4yyCjgIeRJfPfdd0hKSsLEiRP5K4ddu3ZhzpwnHxw3UDSrxLSPP/4YFy5cwL59+xAWFgZAHwS1t7cjPz+f7xArLi4GAIwfP95oaKKrwWLQwcSyLOrr61FdXY2xY8fC19fXaIWGVCo1mojMFUc/aV2QTCbD3r178e2332Lfvn1ISkqyqusrQiyMAh5ChguaVWKaVquFSPT4PgvuqqmwsBB5eXnIy8vD7du3IZfLERYWZjQvqLeVDU+ro6MDpaWlcHNzQ2hoaJ/n5eqCDFvl1Wo1HBwc+ABILBbzW+V1Oh0uXLiA3bt343e/+x1Wrlz5RJ8PQp4xFPAQMhzQrJLBo9VqUVpaalQX1NzcDD8/P74wOjY2FiEhIf0uKFar1ZBIJOjq6jJaSNpfLMuiq6uLL46+du0a9u3bB0dHR2g0Gnh5eWHHjh1ISkqy+lodQiyEAh5ChgOaVTK0dDodampqjIYmVlVVwd3dHRMnTuQDoaioKJPXTdygw/r6eoSGhmL06NFmzRh1dnZi9+7dyMnJwaJFi8AwDH9tJxQKkZaWhsTERLM9zxSaPk6GGZrDQ4i1o1klQ8/GxgZjx47F2LFj8cYbbwDQZ1laW1v5IOjQoUO4e/cuRCIRJkyYwG+Vr6+vR3p6OtLT0zFlyhSzDifU6XQ4d+4c9u/fj3feeQd79uzpcX2lUqlMLts1N5FIhP379xtNH09OTn7mp4+T4YcyPIRYCZpVYr1YloVcLkdBQQGysrLw8ccfAwC8vb0RGBjI1wTFxcXBy8trQFme4uJivP/++wgJCUFqaipGjx5tpv8L86Dp48TK0ZUWIX15+eWXsXHjRiQnJ2Pz5s2QSqX429/+ZrHzWLJ1t729HSkpKSgqKoJAIMDx48d77M96VqWnp+P48eP8biqNRoPi4mKjuqC2tjYEBQXxxdHx8fEICAh4bF2QVCrFrl27kJubi4MHDyIhIcHquq+qqqrw0ksvoaioCK6urpY+DiGm0JUWIX3Zvn07tm7diubmZuTl5eHixYuWPpLFrFmzBq+++irOnTsHtVoNhUJh6SNZjVdeeQW///3v+YJhW1tbPrPz29/+FoD+OqqiooLvEDt58iRqa2vh5eVlNC8oMjISIpEIOp0OZ86cwaFDh7By5UocPHjQ7Lu7zEEmk2HBggU4dOgQBTtkWKIMDyEPTZ8+HTKZDNnZ2XBxcbH0cSxCKpUiLi4OFRUVVpddGM641RKGxdESiQS2trZoaWnB7NmzsXPnTowaNcrSRzWJpo+TYYSutAjpS2FhIRYsWIBRo0bh+++/t/RxLCY/Px8rVqxAdHQ0CgoKMHnyZKSlpcHJycnSRxtxWJaFVCpFTk4OZs2aZenj9Iqmj5NhpteAx3zb6wgZphoaGrBkyRJcuHABTk5O+PLLLy19JIvRarW4desW/vCHPyAvLw9OTk5ITU219LFGJIFAADc3N6sOdgDg2rVrOHXqFK5cuYL4+HjEx8fj8uXLlj4WIf1GGR7yTFMoFJgxYwZ27NiB5ORk/O9//8O6detw/fp1Sx/NIhobG5GYmIiqqioAwNWrV5GamoovvvjCsgcjhJAnQxkeQkxxdHTE9evX+Rbbl1566ZkNdgBgzJgxCAwMxN27dwEAWVlZQz5v5eDBg5gwYQJiYmLw9ttvQ6VSDenzCSEjE2V4CCFG8vPzkZKSArVajdDQUJw4cQIeHh5D8uy6ujq8+OKLKC4uhlgsxqJFizBnzhwsW7ZsSJ5PCBn2qC2dEPJk4uPjkZuba7Hna7VaKJVK2NraQqFQwM/Pz2JnGe4yMzOxZs0aMAyDlJQUrF+/3tJHIsRi6EqLEGI1/P39sXbtWgQFBcHX13dYFPVaK4ZhsHLlSvznP/9BcXExPvnkExQXF1v6WIRYDAU8hBCr0dbWhgsXLqCyshL19fWQy+W0WuMp3bx5E+Hh4QgNDYWdnR0WL16MCxcuWPpYhFgMBTyEEKvxzTffICQkBKNHj4atrS3mz5//TM9FGoi6ujoEBgbyrwcEBKCurs6CJyLEsijgIYRYjaCgINy4cQMKhQIsyyIrKwvjx48f9OcuX74c3t7eiImJ4d/24MEDJCcnIyIiAsnJyWhraxv0c5iTqYYUmp5NnmUU8BBCrMbUqVOxcOFCTJo0CRMnToROp8OKFSsG/bnLli1DZmam0dtSU1MxY8YMSCQSzJgxY9gNYAwICEBNTQ3/em1tLRWAk2cataUTQgj0m8Bff/11FBUVAQCioqKQnZ0NX19fNDQ04Oc//zk/n2g40Gq1iIyMRFZWFvz9/TFlyhScPn0aEyZMsPTRCBlM1JZOCCH90dTUBF9fXwCAr68vmpubLXyi/hGJRDhy5Ahmz54NhmGwfPlyCnbIM40CHkIIGaHmzJmDOXPmWPoYhFgFquEhhBATfHx80NDQAEC/YNbb29vCJyKEDAQFPIQQYsLcuXORkZEBAMjIyMC8efMsfCJCyEBQ0TIh5Jn39ttvIzs7Gy0tLfDx8cH27dvxxhtvYNGiRaiurkZQUBA+/fRTeHp6WvqohJC+9Vq0TAEPIYQQQkaKXgMeutIihBBCyIhHAQ8hhBBCRrzHtaXTHHJCCCGEDHuU4SGEEELIiEcBDyGEEEJGPAp4CCGEEDLiUcBDCCGEkBGPAh5CCCGEjHgU8BBCCCFkxPt/BbrESTs8TbkAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def branin(x):\n",
" x1 = x[:, 0]\n",
" x2 = x[:, 1]\n",
" t = 1 / (8 * np.pi)\n",
" s = 10\n",
" r = 6\n",
" c = 5 / np.pi\n",
" b = 5.1 / (4 * np.pi**2)\n",
" a = 1\n",
"\n",
" term1 = a * (x2 - b * x1**2 + c * x1 - r)**2\n",
" term2 = s * (1 - t) * torch.cos(x1)\n",
"\n",
" return term1 + term2 + s\n",
"\n",
"N = 2\n",
"P = 100\n",
"I = 64\n",
"\n",
"# Let us generate a few training data points\n",
"X_train = torch.rand(P, N)\n",
"X_train[:, 0] = X_train[:, 0]*15-5\n",
"X_train[:, 1] = X_train[:, 1]*15\n",
"y_train = branin(X_train)\n",
"\n",
"domain = [torch.linspace(-5, 10, I), torch.linspace(0, 15, I)]\n",
"x1, x2 = torch.meshgrid(domain)\n",
"grid = torch.cat([x1.flatten()[:, None], x2.flatten()[:, None]], dim=1)\n",
"groundtruth = branin(grid).reshape(I, I)\n",
"\n",
"fig = plt.figure(figsize=(10, 6))\n",
"ax = fig.gca(projection='3d')\n",
"ax.plot_surface(x1.numpy(), x2.numpy(), groundtruth.numpy(), alpha=0.5,\n",
" linewidth=5, antialiased=False)\n",
"plt.xlabel('$x$')\n",
"plt.ylabel('$y$')\n",
"plt.gca().set_zlabel('$f(x, y)$')\n",
"plt.title('Groundtruth')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, we build a PCE interpolator that regresses the training points. The main hyperparameters are $p$ (default value: 5) and $0 \\le q \\le 1$ (default value: 0.75). In this case, `p=8` works better to capture the function's details:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PCE interpolation (p=8, q=0.75) of 100 points (90 train + 10 val) in 2D\n",
"0.000s | Hyperbolic truncation... done, we kept 30 / 64 candidates\n",
"0.001s | Assembling a 100 X 30 design matrix... done\n",
"0.005s | Finding best nnz in LARS... done, val eps=0.044794\n",
"0.011s | Retraining at nnz=18... done, training eps=0.028726\n",
"0.020s\n",
"\n"
]
}
],
"source": [
"pce = tn.PCEInterpolator()\n",
"pce.fit(X_train, y_train, p=8)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We are now ready to convert this interpolation to a TT-Tucker compressed tensor over a discrete domain:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Conversion to TT-Tucker format (rmax=200, eps=0.001)\n",
"0.000s | Sparse TT-SVD... done, rmax=3, eps=0.00028102\n",
"0.013s\n",
"\n"
]
}
],
"source": [
"t = pce.to_tensor(domain=domain)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's visualize the results:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(10, 6))\n",
"ax = fig.gca(projection='3d')\n",
"ax.plot_surface(x1.numpy(), x2.numpy(), t.numpy(),\n",
" linewidth=5, antialiased=False, alpha=0.5)\n",
"plt.gca().scatter(X_train[:, 0].numpy(), X_train[:, 1].numpy(), y_train.numpy(), color='red', label='Training data')\n",
"plt.legend(loc='lower right')\n",
"plt.xlabel('$x$')\n",
"plt.ylabel('$y$')\n",
"plt.gca().set_zlabel('$f(x, y)$')\n",
"plt.title('TT-Tucker interpolation via PCE')\n",
"plt.show()"
]
}
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