{ "cells": [ { "metadata": {}, "cell_type": "markdown", "source": [ "\n", "# Plots modules usage\n", "\n", "To use `numerical_function_spaces.orlicz_spaces.plots` in a project:" ], "id": "68223263d47b6a4e" }, { "metadata": {}, "cell_type": "markdown", "source": "[![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/DyonOylloug/numerical_function_spaces/HEAD?labpath=docs%2Fplots.ipynb) - link to interactive notebooks session.", "id": "2f92fd3cac76742d" }, { "cell_type": "code", "id": "initial_id", "metadata": { "collapsed": true, "ExecuteTime": { "end_time": "2024-09-04T22:37:38.474979Z", "start_time": "2024-09-04T22:37:37.801792Z" } }, "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import numerical_function_spaces.orlicz_spaces as osm" ], "outputs": [], "execution_count": 1 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:38.485105Z", "start_time": "2024-09-04T22:37:38.480971Z" } }, "cell_type": "code", "source": [ "def Orlicz_function(u):\n", " return np.where(u <= 1, 0, u ** 3 - 1)" ], "id": "c5b6d634191a57d0", "outputs": [], "execution_count": 2 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:39.551178Z", "start_time": "2024-09-04T22:37:38.755901Z" } }, "cell_type": "code", "source": "osm.plot_Phi(Orlicz_function, du=0.01, u_max=5)", "id": "6379195b1e6d8681", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 3 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:39.604291Z", "start_time": "2024-09-04T22:37:39.598995Z" } }, "cell_type": "code", "source": [ "# constant function\n", "len_t = 1\n", "x_1 = np.zeros(shape=(2, len_t))\n", "x_1[1, 0] = 1 # measure of supports\n", "x_1[0, 0] = 1 # values" ], "id": "3b0ac0bc156dbe4e", "outputs": [], "execution_count": 4 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:39.867430Z", "start_time": "2024-09-04T22:37:39.641129Z" } }, "cell_type": "code", "source": [ "for i in range(0, len_t):\n", " plt.hlines(y=x_1[0, i], xmin=sum([j for j in x_1[1, 0:i]]), xmax=sum([j for j in x_1[1, 0:i + 1]]),\n", " label='$x_1(t)$' if i == 0 else None, )\n", "plt.legend()\n", "plt.show()\n", "plt.close()" ], "id": "534cb44d02f46cc5", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 5 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:40.141596Z", "start_time": "2024-09-04T22:37:39.916415Z" } }, "cell_type": "code", "source": [ "# nieskończony nośnik\n", "len_t = 1 # ile zbiorów w dziedzinie - mogą być nieskończone - to nie jest długość dziedziny\n", "x_4 = np.zeros(shape=(2, len_t))\n", "x_4[1, 0] = np.inf # miara nośnika \n", "x_4[0, 0] = 1 # wartości\n", "plt.plot([0, 5], [x_4[0, 0], x_4[0, 0]], label='$x_4(t)$')\n", "plt.xticks(np.arange(0, 6, step=1), labels=[str(i) if i < 5 else r\"$\\infty$\" for i in range(6)])\n", "\n", "plt.legend()\n", "plt.show()\n", "plt.close()" ], "id": "294033a1dfd5837c", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 6 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:40.447672Z", "start_time": "2024-09-04T22:37:40.186987Z" } }, "cell_type": "code", "source": [ "# funkcja z różnymi nośnikami\n", "len_t = 5 # ile zbiorów w dziedzinie - mogą być nieskończone - to nie jest długość dziedziny\n", "x_2 = np.zeros(shape=(2, len_t)) # x będzie macierzą. w pierwszym wierszu wartości w drugim miara nośnika do wartości\n", "for i in range(len_t):\n", " x_2[1, i] = i + 1 # najpierw podaj miary nośników\n", " x_2[0, i] = 1 / (i + 1) # potem wartości \n", "for i in range(0, len(x_2[1, :])):\n", " plt.hlines(y=x_2[0, i], xmin=sum([j for j in x_2[1, 0:i]]), xmax=sum([j for j in x_2[1, 0:i + 1]]),\n", " label='$x_2(t)$' if i == 0 else None)\n", "plt.legend()\n", "plt.show()\n", "plt.close()" ], "id": "302732fb3ea96ef8", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 7 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:40.708088Z", "start_time": "2024-09-04T22:37:40.499508Z" } }, "cell_type": "code", "source": [ "# funkcja definiowana na przedziale - z równymi nośnikami\n", "t_max = 2 * np.pi\n", "len_t = 1000\n", "x_3 = np.zeros(shape=(2, len_t)) # x będzie macierzą. w pierwszym wierszu wartości w drugim miara nośnika do wartości\n", "x_3[1, :] = t_max / len_t # miara nośnika\n", "for i in range(len_t):\n", " arg = t_max / len_t * i\n", " if arg <= 3:\n", " x_3[0, i] = np.sin(arg)\n", "plt.plot(np.linspace(0, t_max, len(x_3[1, :])), x_3[0], label='$x_3(t)$')\n", "plt.legend()\n", "plt.show()\n", "plt.close()" ], "id": "e365e0cfccf9a066", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 8 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:42.490325Z", "start_time": "2024-09-04T22:37:40.764127Z" } }, "cell_type": "code", "source": [ "for i in range(0, len_t):\n", " plt.hlines(y=x_3[0, i], xmin=sum([j for j in x_3[1, 0:i]]), xmax=sum([j for j in x_3[1, 0:i + 1]]),\n", " label='$x_3(t)$' if i == 0 else None, )\n", "plt.legend()\n", "plt.show()\n", "plt.close()" ], "id": "8e89f558144e21f1", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 9 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:42.768585Z", "start_time": "2024-09-04T22:37:42.539174Z" } }, "cell_type": "code", "source": [ "# non-incerasing rearangement\n", "# x_3_ri = np.sort(abs(x_3[0,:]))[::-1]\n", "x_3_ri = x_3[::, x_3[0,].argsort()[::-1]] # malejąco\n", "# x_3_ri = x_3[::, x_3[0,].argsort()[::1]] # rosnąco\n", "plt.plot(np.linspace(0, t_max, len(x_3[1, :])), x_3[0, :], label='$x = \\sin(t)\\chi_{[0,3]}(t)$')\n", "plt.plot(np.linspace(0, t_max, len(x_3[1, :])), x_3_ri[0, :], label='$x^*$')\n", "# plt.plot(np.linspace(0, t_max, len(x_3[1, :])), np.cos(np.linspace(0, t_max, len(x_3[1, :]))/2), label='$\\cos(\\\\frac{t}{2})$')\n", "plt.legend()\n", "plt.show()\n", "plt.close()" ], "id": "d31311dc3893a4e9", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 10 }, { "metadata": {}, "cell_type": "markdown", "source": [ "## $\\kappa$ (kappa) function\n", "Let $x\\in L_{\\Phi,p}.$ For any $k \\in (0,\\infty) $ define function\n", "$\\kappa_{p,x}(k)\\colon (0,\\infty) \\rightarrow (0,\\infty]$ by formula\n", "\\begin{equation*}\n", " \\kappa_{p,x}(k) = \\frac{1}{k}s_p\\left(I_{\\Phi }(kx)\\right).\n", "\\end{equation*}\n", "Then $K_{p}(x)$ is equal to set of such $k$ for which $\\kappa_{p,x}(k)$ has infimum." ], "id": "e25ba30edbd6d7bf" }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:43.444388Z", "start_time": "2024-09-04T22:37:42.846125Z" } }, "cell_type": "code", "source": [ "osm.plot_kappa(Orlicz_function, x_1,\n", " k_min=0.01,\n", " k_max=2.9,\n", " dk=0.001,\n", " p_norm=1,\n", " show_progress=False,\n", " save=False)" ], "id": "21c98edf6b145618", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 11 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:43.468654Z", "start_time": "2024-09-04T22:37:43.464999Z" } }, "cell_type": "code", "source": [ "k_min = .1\n", "k_max = 5\n", "dk = 0.01" ], "id": "203ce63a15e62c93", "outputs": [], "execution_count": 12 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:44.867089Z", "start_time": "2024-09-04T22:37:43.532316Z" } }, "cell_type": "code", "source": [ "for p_norm in [1, 2, np.inf]:\n", " osm.plot_kappa(Orlicz_function, x_1,\n", " k_min=k_min,\n", " k_max=k_max,\n", " dk=dk,\n", " p_norm=p_norm,\n", " show=True)" ], "id": "bd339891cb162db", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" 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UZiQFpGV4BEFA5V/bcHrQDQC4Nm8xvnhjXtRzpNJSkT1qQRAwMTFBk3YYQFqyg7RkB8/zOHnyJPUCGUBahuepN47DcsifsjJnfhp+te0KqNXRh6yk0lKRjhoAxsfHpTYhaSAt2UFasoHneTgcDnIuDCAtp3Lk9BB+ErQU6xfGy7F80fR7DUilpWJD31lZWVKbkRSQluwgLdmh1Wpx4403Sm1GUkBahuL2+PDQs60Y9/qd7WevWYvii6cuxQqHVFoqskctCALGx8cpxMgA0pIdpCU7eJ7HsWPHqBfIANIylJ81dODImSEAwMYVWdh+x0UxnyuVlop01ADg8XikNiFpUKKWLpcLJpMJdrs94mdMJtMcWuRHiVrKERpXZQdp+QGWQ2dCsmL97u7NyEwLvxQrHFJpqdjQ98KFC6U2IylQqpYHDx4UM4WFw263o6ioaO4MgnK1lCNarRbXXnut1GYkBaSln9MDblQGZcX63kcvxgXL4xuqkkpLRfaoBUGA2+2WfYgxll6f1ChFy8kUFxdHTXBitVrF/dU5jhNTgZrNZtTU1CTEJqVqKUd8Ph+OHj1K214ygLQEfLyAb+58E/2j/ojXrRcvx71XrYn/eyTSUpGOGoAiGt10vb7JxPNZlgRrGY9Tk8reeOE4TswLbjQaodPpYDabE3ItJbRLJSAIAvr7++mhhwGkJfD7vQ7s5/oAACsWZaL6U5fNaPdAqbRUpKNWqVRYsGCB7LdpnK7XF0xdXR2cTmfIMbvdLuazTgQulwu/+MUvsHDhQmzduhVmszlmpzbZ3oqKiikpN2dCuAeDeHvAdXV1ITm5i4uLYbVaUVJSAgBoaWlhmm40gFLapRLQarUoKiqCVqvI0TlZkepath7vxyOWdwEAKhXwq21XIGdB+oy+SyotFemoBUHA2NhY0jwh2u126PX6kOQdAeeYyLC5TqdDWVkZAL9zMxqNMTm1cPaWlpYyyRZWXl4+ZRJYuGPRcDgcU2y22WwoLCwEENrDZkmytUsp8fl8OHz4MEUoGJDKWg65PXjouVb4eP/f5FduWo9r8hbP+Puk0lKxj1jJ9GNYVVWF+vr6kGMzzV9dU1ODysrKmD9vtVqxbt26EMdms9nEHmk4pxbOXovFIjr32RCwIzjrWLhjVqs15CEm8JAQ/JARDMdx2LVrF1wuF2pra2dtZySSqV1KDe2bzo5U1fJ7/2hHt9Nf981rdPh68QWz/k4ptFSko1apVJg/f77UZjDB5XIxTYPZ19cX1+cDji04XBvNqUWy12q1Ytu2bTMzehLbtm2D2WwOeeCYfKy4uDhsr9hisYgpRifbHBwOTwTJ1C6lRqPRYPPmzVKbkRSkqpZ/s5/AP948BQDIytDit5/ejDTN7ILIUmmpSEf9sd/tw9nB8TkfC1yalYF/fu36mD8fqdcXzK5du+Z8GVEwBw8exLe//W0IggCVSjWtU4tkr91uR35+PjiOg91uB8dxYXv2HMfBarXC4XCgoqICdrsdNpsN27dvF3vO+fn5MJlMIeeHOzYZl8sVdpy8qqpqOhmYEJj1nZmZSePUs8Tn86GjowMXXXQRNJrY17kSU0lFLR3nhvHdf7SLr3/yiU3I1c/+IVoqLRXpqM8NTeDMkPz3VI7U6wvG4XCIY6dSYLfbcfPNN4uvp3Nq4ewNOGmXyyWWq6qqwjpVq9WK8vJyWK1WlJaWoqWlBSaTCRUVFSHh98kT6yIdC0an04V9wJjcwyYIInlxe3z4ytN2jE74x5FLC87DnVesltiq2aFIR700K0PW143Wm5o8hulyuWY8A9nlck1xrFarNWTi1eLFiyP2Qq1WK3Q6HVauXCkem86phbPXarUC8PfOA2PrLS0tYc/funUrAL9zD4TKHQ5H1GsqBZVKhXnz5kltRlKg0WiwadMmqc1IClJNy5+8eAiHT/u3CF2/bCF+eOclzL5bKi0V6aj/76vXYWxsDPPmzZNliDGeCUU6nW7G65F1Ot0Ux2oymWLuQVosFhQXF2N0dDRmLcPZa7FYsH37dnAch4qKiqiTtQJOfufOneKEtNk8rMiJwKxvubZLJeHz+dDW1obLLrssZcK1iSKVtHyxrQdPvX4cgH+L0P+5Jx/z09m5Oam0VOTyLCB6r1UOcBwX07rivLw8cBwX9TOJ2ljEarWiuLh4ipaBCWaBMeRgwtkb6EkHQtoAIq69DuzUFjyDe9euXVM+q9frYzomN+TeLpUERSfYkQpaHu8bxcN/bRNf//Djl2DDCvbZ7KTQUpGOOhBilPOPosFgiGk2d3FxMWw225TjwSHsqqoqpjtpBXYfs9vtsNvt6OjoCNGysLAQOp0OeXl5UybATbZ38vIto9EIs9kcduKcwWAQHX19fT3q6uqmbE4C+MPik5dYhTsmN5TQLpWCRqPBxo0bk74HOBekgpYTXh5ffdaOoXEvAODOK1ZhW1Eu8+tIpaUiQ9+CIGB0dBTz58+X7Y9ioFfqcrlw8OBB6PX6iM4rXI86MBEtEROhDAYDKisrUVlZKWoZmPVdUVGB0tJS6PV6cVcym80m2jHZXoPBELKmOpq9sW4ysnPnTlRUVEx7TG4ooV0qBa/Xi9bWVmzevDlld9RiRSpo+fOXDqPtxAAA4PzF8/HTT1yakL9BqbRUZI8agOyfDi0WS4hTixberqioYNZj3r59e9znBLQMhKQDW5/q9XoYjUbU1dWFhN9Z2juZwHWCoxHhjskVubdLpaBSqZCTk0MPPAxIdi0th87gide6AADpGjUevScfCzMS40Sl0lKRjlqlUsl+rardbofFYgHg70lG22msuLgYTqeTyVh0vJOygrXMz8+HwWAQx5mdTifMZjPKy8tDvpelvZOpqqqa0isPd0yOKKFdKgWNRoP169fTgw8DklnLk64xfKf+g9SV3/3oRdi0Ojth15NKS0U6akEQMDw8LPvtGmtra8W9tKebMJboXbMiMVnL2tpaFBYWguM4uFwuGI3GsE4yUfaGu5YSnDSgnHapBLxeL5qbm+H1eqU2RfEkq5YeH4+Hnm3FwJg/deXtl6zAZ65em9BrSqWlIh01AKSlpUltQkQ4jhMnPhUXF6Ouri6mGctSLVGarGUgPafD4YiaFCQZllSxRs7tUkmo1WqsXr0aarVif6JkQ7Jq+YjlXbQc6wcAnJczD9XGmaWujAeptFQJMnj8HxwcRHZ2NgYGBrBo0aKQ99xuN7q6urBu3TpkZmZKZCFBKA/62yGSlb3vnsNnnzgAANCqVTB/6VpckauT1qg4ieb3JqPIRyxBEDA0NEQhRgaQluwgLdnh9XrR1NSUdOFaKUg2Lc8MuvGtnW+Krx/+8MY5c9JSaalIRw0AGRnSbCOajJCW7CAt2aBWq5GXl5d04VopSCYtfbyArz/Xir6RCQDAlo3L8MD16+bs+lJpqchFdSqVCunp6VKbkRSQluwgLdkRGAskZk8yafmbVzrxOudPzrMyOxO/LL18TldZSKWlIh+xBEHA4OAghRgZQFqyg7Rkh9frxZ49e5ImXCslyaLl3nfP4Xd7OgEAGrUKv717M3IWzO2DsVRaKtJRA6mxd+1cQVqyg7Rkg1qtxqZNm5IiXCs1yaDlKdcYvvFcKwLPwN+5dQOKzp/7vf+l0lKRd06lUiEtLU3WG0sENgOZyaYgszk3XpSgpVIgLdmhVquxbNkyRTsXuaB0LT0+Hl99xo7+Uf966eKLlqHiRml2KZRKS0XeOZ7nMTAwAJ7npTYlLBzHibt71dXVzdm5M0HuWioJ0pIdHo8Hu3fvhsfjkdoUxaN0LX/+0mHYj7sA+NdL/7/SK6BWS/MwLJWWinTUKpUKCxYsoJ5LjAQ2YMnLy0NpaWnIe5O1DP5sIKlIgJycnJB/k7+rpqYGBQUFyMvLEzN/TXee1WpFXl4ecnJyYr5eXV0dVCrVlH+BB5yZ1iGaTsAHGbyCvy/YFo1GA51OB41GI9oS6bzp3oumS7T6JQsajQZFRUVJue3lXKNkLV96uwd/ePWDfbz/9958ZM+XblMhybQUZMDAwIAAQBgYGJjy3tjYmHDo0CFhbGxsVtfw+nih+Wiv8I/WE0Lz0V7B6+Nn9X3RcDgcQn19vSAIglBdXT1n50bCYDAIFotFEARBqK2tFYqLi8N+rr+/X9DpdEJLS4v4WaPRKL6v0+mE/v7+sOeWl5cLlZWVYd+LdF5/f3+ILZWVlUJ+fn5M14v0PbOpQzSdysvLBaPRKACIatPkOkU7L9J70XSZrn7BsPrbIQgp6Do3LGz675eFtaYXhLWmF4Qnm7ukNokp0fzeZBTpqH0+n9Df3y/4fL6Yvv+lt08JV//MKt7wtaYXhKt/ZhVeevsUszoEMxeO2uFwCEajUTAajeLngwn8kLe0tAgGgyHkvWBnFaxlfX19iKMUBCHEiURycg6HQ9DpdEJ1dbWQn58vGAwG8frRzmtpaREdY/D1HA5H1PMmk5+fL54z0zpMp1O475qMz+cTLr/8cqGzs3PKe9HOm/xeNF2mq18wSnbUExMTwgsvvCBMTExIbYriUaKWYxNe4fZfN4m/1199xi7wfOI6V7HCUst4HLViQ99ZWVkxhb5fbu/Bl56yo2fAHXL89IAbX3rKjpfbexJlZlg4jkNdXR1MJhM4joPZbIbJZIo7fGkymVBdXY0dO3bAZrOhpKRETPzhcrmwc+dO8XqT00MGp9+crGW4PcmDE4qUlpZOCbna7Xa4XC4YDAa0tLTAZDJNCR2HOy8/Pz8kR3XgOsH2hjsvmLq6OhQWFoacM5M6TKdTLOzYsQNXXnkl8vLyYj4nHNPpMl39kgGtVosbbrghafMnzyVK1PL7z7+Djp5BAIBh6QJUfTIx+aXjRSotFeuoNRrNtDfOxwv44T8PIdyq1sCxH/7zEHz83K17tVqtKC8vR0lJCUpLS2E0GmE2m+F0OmP+DrvdjurqahgMBuh0OlRXV6O2thYmkwkFBQXYsmULKioqAPhTVYZLnhG4XrCWxcXFsFqt4o9+YDJb4LMGgwEVFRVwOBwoLS3Fli1bQq4RSOVZXl4Op9MZ4mDCnTeZ6upqVFZWiq9jOc9kMoWMh8+2DpF0ioWHH34YDz/8MPMflGBdpqtfsqBSqbBo0SJZ/DgrHaVpaW45gZ0HuwEA89I0+P19BQnLLx0vUmkZl6O22+2oqalBTU0NSktLp0xwqampgdlsRk1NTUInuPA8D5fLNe3s2gNdzik96WAEAD0Dbhzomrsfua1btwLwa7lt2zYAgMPhmNKbi0Ygb7TZbIbZbBZ7s/X19WhpaUFLS4vY69Lr9VPuBcdx4vvBWup0OtTW1qKgoEDM/gUAhYWFAICWlhbRGW/dulXsSev1+in26/V60ZlEOi+Ympoa8aEjwHTnWa3WKdeeTR2i6TQdAVv0ej3TWd+TdZmufsmCx+PB888/r9iZynJCSVoePj2I7/7jbfH1Tz+xCRcuz5LQolCk0jIuR221WlFZWYnKykoUFRWF9HBKS0tRWVkJo9EIo9Eo5mFOBLE+1ZwdiuykZ/I5FgR6bTt37hQdxkweakpLS8FxHJxOJ8rKylBTUxPyflVVFYDw4duAYwemalleXo7+/n5YLBYxpDxdTzM/P3/KNZxOZ9iHj3A9v4qKiilOOpbz6uvrRQ2DmUkdptNpOurr6/GpT32K6dN2JF1irZ+S0Wq1uPXWWxUVrpUrStFyeNyLLz9lh9vjf9C9+8pcfDL/PImtCkUqLWN21Ha7XfzxBwCj0Qi73Q6O46b8wBkMhpDlKVKxLCu21H6xfm62BMamA7oFnMCuXbvi+h6O47B9+3ZUVlaivLwc9fX1KC4uRmlpKQoKClBQUCD21vPz8wEAZrNZtKG4uFj8YXe5XFMiI4HjZWVlopOwWq0hIeba2lrxewwGAwoLC8UwbF1dHQwGg9gOIp0H+J1RSUkJysvLQ+o43XmAP292uPHgmdRhOp2mI5ItMyWSLkDk+iUbcncsSkLuWgqCANNf28D1jgAALl65CN//2CUSWxUeKbSM2VHn5+djx44d4uvAj7terxfDfsHo9XrY7XY2Vk5CiHFP5SvX6bEyOxOR+jcq+Dd2v3Ld3GxFZzAYkJeXB47jUF9fj7q6OtTV1YX9MZ7uewKOJUB+fn5I6Dv4fYvFgtraWuTl5cFisaC+vl58r6ysDL/73e9ELaurq5GXl4ctW7Zg+/btYo+1uLgYixcvFtdJB+oQoL6+HvX19cjLy0N9fT1eeeWVac+zWq2oq6tDaWlpyHpou90+7fWAyD3emdYhmk6B8X8AKCgomDJZzuVyYd26dVPaZbTzIr0XTZdo9UsmvF4vGhoaFL8/tRxQgpZ/bn4PL7b5J/ZmZWjx2H35yEyT37pvqbRUCdN5uwgEeoYWiwU1NTWwWCywWCzi+3l5eWKPZTqiJdB2u93o6urCunXrkJnp7/kK/mVl4g9YNAKzvgGETCoLnPXYffm4fdPK6SscBxzHwW63w2g0oqamJmSCVCLPnQnxaElER25ahvvbUQqCIMDr9UKr1cpCSyUjdy1t7zlxd93r8L4/qff3CfhNZgVLLaP5vcnMaNa3y+WC2Wye0sMJ97lwjI+PY3BwMOQfAPh8PvH/4HLgWSLwQxgoB5h8PFDmeR63XbICj92Xj+WLQn+oVmRn4n/vzcetFy8XzwlMAopWjmTLXJV5no9aDtgba52CtUyWOiXjfZqNLZP/ngJlr9cbUg5cK1LZ4/GElAPfHygLgjClHLAlUOZ5PqQc6JmEKwfsCxyPVA8l1Slg71zXyev1yrJOZwfd+PJTLaKTLrv+fNx68XJZ36fx8XFm9ylWZuSoTSYTLBaLOH6n0+mmTPaJtNwF8E90ys7OFv/l5uYCANrb2wEAHR0d6OjoAAAcOXJEFGt0dBTj4+MQBAFDQ0OYmPAnDx8eHhYrPTQ0JH5+aGgIPp8Pt29aiRe/mI+nHyjCbz59BXbcvQlN/3ETbrtkuRiqFARBfGDgeT7k4WFoaAiAX+RA2ePxYHh4GAAwMTGBkRH/2Mr4+DjGxsYA+Hs0Abvcbjfcbv+ktbGxMbEcqBMAjIyMhNQpcNPD1QnwP5EFbvrkesRaJ4/Hg6GhIbFBR6rT6OioWI/g+sVbp2j3iVWdYr1PrOs0PDwsaimHOgVsdzgc4t9TW1sbOjv9qQJbW1vR1eXfnvHAgQPo7vYviWlubkZPjz8M2dTUhN7eXgDAnj17xIfvxsZG0Z6Ghga43e6QsKDb7UZDQ4N4fxsbGwH4H9737NkDAOjt7UVTUxMAoKenB83NzQCA7u5uHDhwAI2NjXA4HGhtbQUAdHZ2oq2tDUDob4SS6gQAXV1dc1onl8uFxsZGvPTSS7KqU6eDw1efacW5Yf/f0jWGxbh2Ya+s75PX68Urr7yCd955Z9b3ae/evYiVuEPfNTU1MBqNMBgMonBOpxOlpaVoaWkRP5eTk4Ourq6wznp8fFz80QP8P165ublwOp3IyckRf+A0Gg1GRkZw7NgxGAwGZGRk+I1WqcQnqmhlnufFMGS4MuB/4gouq9Vq8cczXDnW6w8MDCA7Oxsulws5OTnMzpWyTokqU50SUye324333nsPa9asQWZmJjQaTcjfltfrFdfRe71eqNVqqNXqiGWPxwONRiOWA+G/QBmAGBYMlNPS0sQeXVpaGnieh8/nE8s8z0Or1UYsByJqgXLA9khlqpNy6vTThsP4Y/MxAP65Qv/82vXQZWoUXad47lNfXx+WLFkSU+g7rulrZrNZXMPrcrmwa9culJeXT3HGHMehsLAwYo86IyNDdLrBBDY6D97wPHhjk+AfNZ7nxVRjwWMFweXgVGSRyuHODR5jnFyOdl5wOVD3nJwcpueyrhMAUct4bGRZlvI+sSwDH2gphzoFXms0mrB/W8GzV2Mpp6WlzaisUqnEcrA20coqlQqDg4Mhu+ZN/l0IV5ZznQLlWOrBsk6BiE2wllLX6cX2M6KTTtOo8L/35mPJwlCfIMf7JAgCRkZGkJWVNeUzs7lP0xFz6JvjOJSWlqKkpAQqlQo5OTkhS13q6+thMplgNptRW1s77fj1bAiEFuMMBhBhIC3ZQVqyw+v1Yt++fbKeqawU5KblkdNDePivH2xq8v2PXYLNa3IktCh2pNJyxrO+WRLvrG+CIKaH/nYIuTHo9uDOR19D1/vrpY0F5+EXxsumRKZSgYTP+paawLiDDJ4xFA9pyQ7Skh08z8PpdDLdjjVVkYuWPC/g27veEp30JasW4Sd3bVKUk5ZKS8U66pGREfpBZABpyQ7Skh0+nw82m02crEPMHLlo+dheByyHzgAAsuel4ff3FchyU5NoSKWlvPeVi4BarUZ2drbUZiQcl8uV8D2cU0XLuYC0ZEdaWhpuu+02qc1ICuSgZdO75/DLxiMAAJUK+M2nr0Cufr6kNs0EqbRUbI86eNG7XKmoqJjx/s91dXUxpy6cnJAjHpSipRIgLdnB8zzOnj0rebg2GZBayxP9o/j6c60I/Fl8s/hC3LRhmSS2zBaptFSkowYgblAhZ0pLS6fsyQ34e8qBVKCTE5oA/gQo4VJHRqK8vDxkBn68hNPSbrejpKRk2sxeHMehpKQEeXl5U/a/Dn4vlu9KBpTQLpUAz/Nob28nR80AKbV0e3z40lN29I/6NwXasnEZvnrz+jm3gxVSaalIR61SKSMRusViCckZHKCurg4OhwN1dXVhHXVVVVVciRYC4fFw3zUd4bSsqKhAVVVVTBnQSkpKYDKZ4HA4UFJSItbX5XKhoKAA1dXVcDgcKC0tTWjqUzmglHapBLRaLW655RbZZ31SAlJpKQgCvvuPdrx9cgAAsHbxfDyy7Qqo1cr9+5BKS0U6akEQMDExIfsQo9VqRWFh4ZTjfX19APwOdnIvM54cyMFs27ZNTNEYjsA6+NLS0pDPBbQM3lUu1nXwgWxOgcQr5eXlOHjwIFwuF6xWa0iWr/LycpjN5qTuVSulXSoBnudx8uRJ6lEzQCotn9x/DOaWEwCAzDQ1fn9fAbLnxb7JhxyRSktFOmoAIVuQyhW73Y78/HxwHAez2SyOJVdXV6OgoADl5eVTes67du1CUVFRyDGO48Rc1oHvMplMIU4vPz8/JHvZZEwmE6qrq7Fjxw7YbDaUlJSIPfAzZ85g586dcdcvOKd2AIPBIH7v5NSngXOSGSW0SyXA8zwcDgc5agZIoeV+Rx9+9MIh8XWN8XJctDL6WmElIFW7VKSjVqlUIdvhyZGAk3a5XGI52BlGykHtcDimOD+r1Yry8nKUlJSgtLQURqMRZrM5bCKUSLZUV1fDYDBAp9OhuroatbW1MJlMKCwsxF133YUvfvGLcdcxUuIVp9OJ4uJiWK1W0THX1dVFtTEZUEK7VAparRY33ngjhb4ZMNdannSN4SvP2OF7PyNWxYcM+Pjlq+bk2olGqnapyL+CQIgxPT1dtj+KgfHdgwcPir3m4PByJMItydq6dSsAv8Pdtm0bAL9Dj5VA+DkQ8i4uLobBYEB9fb2oZSDrUjzo9fopoWyO46DX66HT6VBbW4uCggIUFhaKE83CDQUkC0pol0qB53l0d3cjNzc3ZH90In7mUsuxCR/KnzwI54g/I9YNFyxB5W0bE3rNuUSqdqnYv4B4cnlKgcViwfbt28FxHCoqKmI+L9y4dcBx79y5U3T68Y71lpaWguM4OJ1OlJWVhSzp8ng8qKqqiuv7gNAwd4DgMfby8nL09/fDYrGgsLBQ7NEnM3Jvl0qBxqjZMVdaCoKA7X9rwzun/Gla1y6ej9/dvRkaBU8em4xU7VKRPWqVSoWFCxdKbUZUDh48KI4ZB9ZSm83maWdz5+XlgeM4sRccmCG+bdu2kDHhQOayYMKNCQP+Xu727dtDJnbZ7XbReQPAjh07YqpX4AFBp9OF9NSNRiPq6upQXFwcMgs9kGmtrKwM1dXVMV1DqSihXSoFrVaLa6+9VmozkoK50vIPr3bhH2+eAgDMT9eg7jOF0M1PT/h15xKp2qUiHbUgCBgfH0dGRoYsQ4wcx4kzoQGIY8rBE8v6+vpQVFQEjuNQWVkpfra4uBi1tbWiQw84Zo7jUF9fL471TnbSgXXP4Qg3izw/P18MfQe0DGAymcTQfUFBgfhZACgrK0NRUZFos8ViQUVFBUwmU8jnAP+kOavVCp1Oh+3bt8e15EyJyL1dKgmfzycmFAlOJUjEz1xo+WpnL37W0CG+fmTr5diwIish15ISqdqlIrNnCYKA0dFRzJ8/X3E/iFarFXq9Hjt37kR1dTXq6uqg1+tDnFhpaWncaUJNJhMqKiriXtqlZC3lhty0VHL2LK/Xi9bWVmzevJkmlM2SRGvZ7RzFxx59Fa73NzX56s3r8Z3bNjC/jhxgqWXSZ89SqVRYsGCBLH4M4yUwGzrQ+21paZkybltRURF1TfRkAuHomay/VrKWcoO0ZIdWq0VRURE5aQYkUsvRCS/KnjwoOulbNi7DN0suZH4duSBVu1SkoxYEAWNjY4rdWMJms4mznyeHyQG/M3c6nTFPGKuqqprx+K/StZQTpCU7fD4fDh8+LHnGp2QgUVoKgoD/MLfh8OkhAIBhyQL8atsVSTV5bDJStUvFPq4q+ceQ4zjs2rULLpcLtbW1YT9TXl4es6Oe7SQtJWspN0hLdtC+6exIhJa/38vhxbYeAMDCDC3q7lf+zmOxIEW7VKSjVqlUmD9feSnSgA+WL0Xa8CSYuVjKpGQt5QZpyQ6NRoPNmzdLbUZSkAgt/3XkLGp2HxZf/2rbFVi/LPkmj01GqnZJoe85ZibrlROJkrWUG6QlO3w+H9rb2yn0zQDWWh49O4SHnglNW1ly8XIm3y13pGqXiuxRK5lkX0tMEETy0j8ygQf+fBBD414AwO2XrMDXblFu2kqloEhHrVKpMG/ePKnNSApIS3aQluzQaDTYtGmT1GYkBay09Ph4fOUZO471+bcbvmjlIjyy7XJFp62MF6napWJD36OjoxRiZABpyQ7Skh0+nw+tra0U+mYAKy1/9M9DaHb4U/QuWZiOxz9biPnpiuzrzRip2qUiHTUAWqvKENKSHaQlOyg6wY7ZavmX14/hL68fAwCka9So/UwBVutS8/5I0S4V+ThEIUZ2kJbsIC3ZodFosHFj8mRdkpLZatl8tBc/+L93xNc//cQmFKwNn1cg2ZGqXSqyRy0IAkZGRijEyADSkh2kJTu8Xi9sNhu8Xq/Upiie2Wh5rG8EXw7KLV12wzqUFuayNlExSNUuFemoAaTsRv3xpreMhVTVMhGQlmxQqVTIycmhoQQGzFTLIbcHD/z5g+1Bb9qwFA9/+KJEmKgYpGqXinTUKpUKmZmZsv8jrqioEFNcsqCurg5OpzOmzwbnm46GUrRUAqQlOzQaDdavX08PPgyYiZY+XsBDz7bi6NlhAMD6ZQvx2yTLLT0TpGqXinTUgiBgeHhY9iHG0tJSMWdzMC6XCzU1NXC5XGI+6GjHAX8aS71eH3PijfLycphMpmk/N1stA+k1p+vpcxyHkpIS5OXlobS0NOJ7sXyXXFFKu1QCXq8Xzc3NFPpmwEy0rH75MP515BwAQDc/DY/fX4hFmcm/Peh0SNUuFemoASAtTf6NxmKxhM0RXVdXB4fDgbq6uhCHHOk44N/RLJ58zoHtRyd/TzhmqmVFRQWqqqrE3NXRKCkpgclkgsPhQElJiaiLy+VCQUEBqqur4XA4UFpairKyshnZIweU0C6VgFqtxurVq6FWK/YnSjbEq6W55QTqmvy/Gxq1Cv97Tz7OX7IgkSYqBqnapSL/ClQqFTIyMmQfYrRarWKWrGD6+vxrEXU6XUjvMdLxwP7g8bJt27Zp02V2dXXhvvvuw9atW8N+1m63Rzy3trY2przZge8IZAkrLy/HwYMH4XK5YLVaYTAYxMhDeXk5zGazInvVSmmXSkCtVmPt2rXkqBkQj5YH33PiP//2tvj6Bx+/BNeuX5JI8xSFVO1SkX8FgiBgaGhI9iFGu92O/Px8cBwHs9ksjhtXV1ejoKAA5eXlIb3kSMd37dqFoqKikO/mOA51dXUwmUzi95tMphAHl5+fD4vFEtVGk8mE733ve6irq4PNZkNJSYnYC3e5XNi5c+dsZQDHcVMeNAwGg3gdvX7qUo9YIgFyQyntUgl4vV40NTVR6JsBsWp5rG8E5X9pwYSPBwB85uq1+MzVa+fCRMUgVbtUpKMGgIyMDKlNiErASbtcLrEc7PQiZc8Kd9zhcExxdFarFeXl5SgpKUFpaSmMRiPMZvOUyWbRJp/Z7Xb8/Oc/x8aNG6HT6VBdXY3a2lqYTCYUFBRgy5YtqKioiKfaYXE6nWEzgTmdThQXF8NqtYqOua6ublq75Yzc26VSUKvVyMvLox41A2LRcmDMgy/8yQbnyAQA4Pr1S/DfH7t4rkxUDFK1S8VueJKeni61GVEJjNsePHhQ7B23tLTM6LtcLtcUR7d161YAfme7bds2AH6HHg+BcHMg5F1cXAyDwRASzmYRgtbr9VO+h+M46PV66HQ61NbWoqCgAIWFheJEs3BDBnJHCe1SKQTGAonZM52WHh+PLz/dAse5EQD+Gd7/c28+0jT0kDQZqdqlIu+EIAgYHByUdYjRYrFg+/bt4Dhu1r3SyWPWgWMAsHPnTvFBYCZOtbS0FIcOHUJfXx/KysqmLOtikZYzOMwdIHjcvby8HP39/bBYLCgsLITBYJiTXNysUUK7VAperxd79uyh0DcDomkpCAK+9492vHbUPz9GvyAdT3y2CNnzaFJkOKRql4rsUQPy3wf44MGD4vhwYC212WyOa+Z2gLy8PHAcJ/aAA7PDt23bFjL+u2vXrimh83DjvwE4jsPDDz+Myy67DFqtFhUVFbDb7SgtLRUd644dO+K2F/jgoUGn04X03I1GI+rq6lBcXBwyM91gMMDlcqGsrEzRqUDl3i6VglqtxqZNmyj0zYBoWu7Yx+E5WzcAIF2rxo77C7Bm8fy5NlExSNUuFemoVSqVrJfBcBwnznAGII4fB08s6+vrQ1FRETiOQ2VlZdTvKy4uRm1trejkA46Z4zjU19eL47qTnXRgjXMkws0kz8/Pj2kmN+CfiBYI8RcUFIScW1ZWhqKiIrFuFosFFRUVMJlMU65RXV0Nq9UKnU6H7du3z+hhRg7IvV0qCbVajWXLlkltRlIQScvd75xG1UuHxde/MF6Wsnt4x4pU7VIlyCBONzg4iOzsbAwMDGDRokUh77ndbnR1dWHdunXIzMwEAPA8j6GhIWRlZSnuidtqtUKv12Pnzp2orq5GXV0d9Hr9tM6ptLQ0ZgcawGQyoaKiIurSLiVrKTfkpmW4vx2l4PF4sGfPHtxyyy308DNLwmn59okBbK3djzGPP13jN4svxNeLL5DSTEXAsl1G83uTkf7XZAaoVCosWLBAketVA7OcAz3dlpaWmMZjKyoqpl0THUwg9Dzd+mslayk3SEt2aDQaFBUV0RaiDJisZc/AGB74s0100nddsQoPbVkvpYmKQap2qVhHrdVqFfuDaLPZxFnNk8PkkSguLobT6Yx5wlhVVVVMY71K11JOkJbsUKvV0Ov1sohMKJ1gLUfGvfjCnw7i7NA4AKBwbQ5+/qnLqM3GiFTtUpF/BTzPw+Vyged5qU2ZERzHYdeuXaipqUFtbW3M50Vaex2OWCdkKV1LOUFassPj8eDFF1+Ex+OR2hTFE9DSPT6Bh55tRUfPIABgjX4+aj9TgMw0ilrEilTtUrGTybKyshT5FBhYlhSP0w2G9bIlJWspN0hLdmi1Wtxwww3QahX5EyUrAlrWNHbilcNnAQBZmVo88bkiLF5IG/TEg1TtUpF/BSqVSrFjVyzWJbNEyVrKDdKSHSqVatoJNkRsqFQq/OMdJ5547T0AgFatwu/vK8D6ZQulNUyBSNUuKfQ9x1RXV8c9ezuRKFlLuUFassPj8eD555+n0DcDXmo7ie8/3y6+/vFdm3AdJdqYEVK1S0U66sBTDYUYZw9pyQ7Skh1arRa33norhb5nSevxfnyzvg0C/G3yyzfl4e4r10hslXKRql0q0lETBJH8kJOeHcf6RvDgnw/C7fFHeO68fBW+c+sGia1SPlK0S8U46uB9WWhPZXaQluyQm5ZysWMmeL1eNDQ00F7fM8Q5MoHP/dGGvvezYa1fxOOnd10MtZqiPbNBqnYpe0cdmJwzMTEhHqMQIztIS3bITcvA34wSJ7hptVrccccd1KueAW6PD2VPHkRXrz8b1gXLFuK5r27BgkzK7DZbpGqXsv8r0Gq1mD9/Ps6dO4e0tDSo1WoIggBBEKBSqWTzo6hUSEt2yElLnudx7tw5zJ8/X7HOzuv1KtZ2qeB5Ad/a9SZajvUDAJZmZeCJzxVhQRr9bbNCinYp+78ClUqFlStXoqurC8eOHQPg/0EcGxvDvHnzJP9BVDqkJTvkpqVarcaaNWtkYUu8eL1eNDY24o477qC9vuPgZw0daHj7NABgfroGf/xcEVZkpaGhoYG0ZIBU7TKupBx2ux1lZWVoaWmZchyAmB3K5XKJqQ1jIZbNyXmeDwl/EwQRnfT0dNqCM4X442td+OE/DwEANGoVHv9sIW7eQBnI5Eo8STli7lGbzWYYDAbRKQdTW1srplosLi5OyDphtVotZgASBEHMUqTE3oKcIC3ZQVqyg7SMj93vnMaPXjgkvv7JXZtEJ01askMqLWN+3DYajRF7yQUFBejv70d/fz8sFgvzbS4n4/V6sW/fPpoRygDSkh2kJTtIy9ixH+/HQ8+2IhAb/erN60PWSpOW7JBKy7jzUatUqinLPurq6ma8dzUQXwiAIAiC8NPVO4JPPdYM5/vLsD6xeTUe2Xo59ZwVwJzno3a5XDCbzTCbzTCZTOA4Lurnx8fHMTg4GPIPAHw+n/h/uLLX64XP5xNntAaearxer7htY3DZ4/GElAMPGIGyIAhTygBCyjzPh5QD14xU9vl8IeVY6xStHomsk9frxblz58DzfNLUSar7NDExgb6+PtGWZKiTVPdpYmICTqcTHo8naerE+j719I/g/j+8ITrpawx6VH/qsin18/l8cDqdGB8fl32d5H6feJ5Hb2+v+D2zrVOsMHHU5eXlMBqNMBqN2LZtG0pKSqJ+vqqqCtnZ2eK/3NxcAEB7u38/2o6ODnR0dAAA2tra0NnZCQBobW1FV1cXfD4fXn/9dRw/fhwA0NzcjJ6eHgBAU1MTent7AQB79uwR8zc3NjZiaGgIANDQ0AC32x2yeN3tdqOhoQEAMDQ0hMbGRgD+h5A9e/YAAHp7e9HU1AQA6OnpQXNzMwCgu7sbBw4cAAB0dXWhtbUVANDZ2Ym2traY6gQABw4cQHd395zW6ezZs9i/fz98Pl/S1Emq+7Rv3z688cYb8Pl8SVMnqe6TzWaDzWYDx3FJUyeW92nI7cG2x5rQ3T8GADhvoQo/uX0t0rXqKXUaGBiAzWbDyy+/LOs6KeE+BXzPoUOHZl2nvXv3IlaYhL7tdrs4fu1yuZCTkwOHwwGDwRD2O8bHxzE+Pi6+HhwcRG5uLpxOJ3JycsSnEo1GE1L2er1ihiKv1wu1Wg21Wh2x7PF4oNFoxLJWq4VKpRLLQOiaOK/Xi7S0NAiCIJZ5nofP5xPLPM9Dq9VGLPt8PgiCIJbD1YPqRHWiOlGdZlonDy/ggT+3oNnRBwBYrZuHXeVXYqVuvmLrlIz3abo69fX1YcmSJTGFvmftqO12O7Zs2YL+fv8C+4Cj7u/vj3lSWbxj1IHww5IlS2j5ySwhLdlBWrKDtAwPzwv42nOteLHN30PLmZ+G+i9eGzVlJWnJDpZaJnyMOhCCAACDwYDq6mrxtdVqhdFoTOjMb57n0d7eLsb6iZlDWrKDtGQHaTkVQRDwoxcOiU46M02NP3yuaNq80qQlO6TSMuYetdVqhcViQU1NDSorK1FUVASj0QjA36u2Wq3Q6XRwOBwhjjsWaNY3QRBEdP7nX0fxi91HAPg3NNlxfwFu2bhcYquImRKP34s79J0IZhL67unpwcqVKymUM0tIS3aQluwgLUPZdbAbleY28fUvjJehtDA3pnNJS3aw1HLOl2fNNTzPw+FwUCiHAaQlO0hLdpCWH/BKxxls/9vb4uvK2zfE7KQB0pIlUmmpyB41QRBEKtByrB/3Pv463B6/Y/jctefj+x+7mDY0SQJSokd97NgxekJkAGnJDtKSHaQlcPTsEB74s0100h+9bCX++6PxO2nSkh1SaalYR33y5ElqeAwgLdlBWrIj1bXsGRjDZ5+wwTXq373quvWL8f+2Xg61Ov6edKpryRKptKTQN0EQhIzoGx7H1tr9cJwbAQBcsmoRniu/GlmZlEs6mUj60LfP58PRo0fFXWGImUNasoO0ZEeqajnk9uBzf7SJTnrt4vn44+eLZuWkU1XLRCCVlop01IIgoL+/f8pWpkT8kJbsIC3ZkYpauj0+PPjng3j75AAAYPmiDDz1wFVYlpU5q+9NRS0ThVRaUuibIAhCYjw+Hl96qgXWjrMAAN38NOyquAYXLs+S2DIiUaRE6Pvw4cMUymEAackO0pIdqaQlzwuoNLeJTnpBugZ/+vyVzJx0KmmZaKTSUpGOGgDGxsakNiFpIC3ZQVqyIxW0DOzf/ffWkwCAdI0aO+4vxBW5OqbXSQUt5woptKTQN0EQhEQ8YnkXv33Fn89YrQIeu68At12yQmKriLkgJULf7e3tFMphAGnJDtKSHamg5R9e7RKdNADUGC9PiJNOBS3nCqm0VKSjJgiCUDLmlhP48QuHxNf//dGLYSw4T0KLCDlDoW+CIIg5ZPc7p/Hlp+3w8f6f3oe2XIBvlVwosVXEXJMSoe/W1lYK5TCAtGQHacmOZNVyX+c5fO2ZVtFJf+7a8/HN4gsSes1k1VIKpNJSkY4aAObNmye1CUkDackO0pIdyablG1wfyp48iAmff5/oT2xePaMkGzMh2bSUEim0pNA3QRBEgmk93o/7Hn8DIxP+nthtlyzHo/fkI02j2L4SMUuSPvTt9Xphs9ng9XqlNkXxkJbsIC3ZkUxavnNqAJ994oDopG/asBS/vXvznDnpZNJSaqTSUpGOWqVSIScnh5KnM4C0ZAdpyY5k0bLzzBA+84cDGHT7f9ivMSzG7+8rQIZWM2c2JIuWckAqLSn0TRAEkQC6ekewtXY/zg2NAwAK1ubgyS9ciQUZWoktI+RASoS+m5ubKZTDANKSHaQlO5Su5Yn+Udy743XRSV+6Oht//HyRJE5a6VrKCam0VKSjVqvVWL16NdRqRZovK0hLdpCW7FCylmcG3bhnxxs4NeAGAGxckYUnv3AlFs0ip/RsULKWckMqLSn0TRAEwYje4XFsq90Px7kRAIBh6QLsLL8GS7MyJLaMkBspEfpuamqiUA4DSEt2kJbsUKKWrtEJfOYPB0QnvUY/H888eLXkTlqJWsoVqbRUpKNWq9XIy8ujUA4DSEt2kJbsUJqWg24PPvvEAXT0DAIAVmZn4ukHr8KK7EyJLVOelnJGKi0p9E0QBDELBt0e3P+HA3iz2wUAWJqVgV0V12DdkgXSGkbImpQIfe/Zs4dCOQwgLdlBWrJDKVoOvd+TDjjpxQvS8fSDV8nKSStFSyUglZaKdNRqtRqbNm2iUA4DSEt2kJbsUIKWw+NefPaJA2g97gIA6Bek4+myq3Dh8ixpDZuEErRUClJpSaFvgiCIOAk46ZZj/QCAnPlpeKbsaly0kn6/iNhI+tC3x+PB7t274fF4pDZF8ZCW7CAt2SFnLYfHvfhckJPWzU/D0w/K10nLWUulIZWWiuxR8zwPl8sFnU5H4ZxZQlqyg7Rkh1y1HBn34vN/tOHAe04AQPa8NDxTdhUuWZUtsWWRkauWSoSllvH4PUU6aoIgiLlmZNyLz//JhgNdHzjppx+8CptWy9dJE/IlJULfL774IoVyGEBasoO0ZIfctByd8OILQU56UaYWTz2gDCctNy2VjFRaKrJHLQgChoaGkJWVRanbZglpyQ7Skh1y0nJswofP/+kAXuf8TjorU4unH7wKl52nk9SuWJGTlkqHpZbx+D1F5ltTqVQUImcEackO0pIdctFydMKLB/988AMnneHvSSvFSQPy0TIZkEpLxYa+n3/+eQrlMIC0ZAdpyQ45aOmf3W1Ds6MPgN9JP/nAlbg8VyeZTTNBDlomC1JpqdjQt9vtRmZmJoVyZglpyQ7Skh1Sazno9uBzTxyA/f3NTLIytPjzA1cif03OnNsyW6TWMplgqWXSh74BQKtVrOmyg7RkB2nJDqm0dI1O4P4nDqDtxAAA/+zuvzxwpaLC3ZOhdskOKbRUZOjb6/WioaGB9q5lAGnJDtKSHVJp6RyZwD073hCdtH5BOp4pU9aY9GSoXbJDKi0VG/r2er3QarUUypklpCU7SEt2SKHluaFx3Pf4GzhyZggAsGRhBp5+8CpsWCGvvbvjhdolO1hqmfTrqAHQ0yFDSEt2kJbsmEstzwy68em6/aKTXpaVgefKr1a8kw5A7ZIdUmipSEft9XrR2NhIjY8BpCU7SEt2zKWWp1xj2Fa7H45zIwCAVdmZ2FVxDdYvW5jwa88F1C7ZIZWWigx9EwRBsKDbOYp7Hn8d3c4xAMB5OfPwbNnVyNXPl9gyItlJ+tC3IAgYHByEDJ4xFA9pyQ7Skh1zoeWxvhFsq90vOunzF8/Hroprks5JU7tkh1RaKtJRe71e7Nu3j0I5DCAt2UFasiPRWnaeGcLW2v04NeAGAOQtXYCdFddglW5eQq4nJdQu2SGVlhT6JggipXj7xADuf+IN9I/6d5fasDwLTz14FZZmZUhsGZFKJH3om+d5OJ1O8DwvtSmKh7RkB2nJjkRp+QbXh7t3vC466UtXZ+PZ8quT2klTu2SHVFoq0lH7fD7YbDb4fD6pTVE8pCU7SEt2JELLfx05i/ufOIDhcX/Y8sp1ejxTdhX0C9KZXUOOULtkh1RaxhX6ttvtKCsrQ0tLS8hxjuNgNpthMBjAcRzKy8uh0+liNoJC3wRBJJIX23rwjZ2t8Pj8P3c3bViKx+4twLx0jcSWEalKQkLfZrMZgN9ZT6a0tBSVlZUwGo0wGo0oKyuL0+T44HkeZ8+epVAOA0hLdpCW7GCp5S5bN772rF100h+5dCXqPlOYMk6a2iU7pNIyZkdtNBqRn58/5TjHcSGvDQYDrFbr7C2LAs/zaG9vp4bHANKSHaQlO1hp+YdXu1D51zbw78cNtxaeh9/evRnpWkWO+s0IapfskErLuGd9q1SqkDVkdXV1qK+vh8ViEY/l5eWhvr4+rGMPB8vQd8uxfhw6NYD+UQ/uvWoNFi9M3kkiBEGERxAE/OaVTvza2ike+8J16/Ddj1wEtZr2uyakZ05nfbtcrrDHnU5nxHPGx8cxODgY8g+AOEDv8/nClr1eL3w+H3iex/Hjx8W1bF6vV3zC+bu9G997/h08YnkX750bEo97PB7xASNQFgRhShlASJnn+ZBy4JqRyj6fL6Qca50m1yNS2ePxMK2T1+vF8ePHwfN80tRJqvs0MTGBEydOiLYkQ52kuk8TExM4efIkPB5P3HXyeLz46YsdIU76azfn4b/u2AC1WpWUbS9anXw+H06ePInx8fGkqZNU94nneXR3d4vfM9s6xUrC4j+RHDgAVFVVITs7W/yXm5sLAGhvbwcAdHR0oKOjAwDQ1taGzk7/H1xrayu6urrA8zzefvttHD9+HADQ3NyMnp4eAMDguR7xOv/ebxPtaGxsxNCQf8P9hoYGuN3ukJRlbrcbDQ0NAIChoSE0NjaK9dizZw8AoLe3F01NTQCAnp4eNDc3AwC6u7tx4MABAEBXVxdaW1sBAJ2dnWhra4upTgBw4MABdHd3T6lTU1MTent7AQB79uxhWqdz587hrbfeAs/zSVMnqe7Tvn37cOTIEfA8nzR1kuo+2Ww2OByOuOtka7Hjy0/ux+Ov+usFAN/9yEUomncWp0+flrROUt2nwcFBOBwOvPzyy0lTJ6nuE8/zeOedd5jUae/evYgVJqHv2trakJngOTk5qK+vR3FxcdjvGB8fx/j4uPh6cHAQubm5cDqdyMnJEZ9KNBpNSNnr9UKlUolltVoNtVodUn5inwM/evEwAOAXn9qETxXkQq1Ww+PxiKnJAmUAYsqyQDktLU1MZZaWlgae5+Hz+cQyz/PQarURyz6fD4IgiOVw9Yi3TsFlj8cDjUZDdaI6UZ0mlSd8wJefbsG/jpwDAKhVwE/v2oS7r1qr2Dol432iOvnLfX19WLJkSUyh71k7ao7jUFpaOsVRd3V1xbxEK94x6kD4ITfX74SDef7Nk/j6c28CAL730YvxwPXrYrIhVYmmJREfpCU74tXSNTqBL/zJBvtxFwAgXavGbz99BW7ftDLBlsofapfsYKllwseog8PaBoMh5D2O41BYWBjXOup44XkeJ0+eFGP9wQRvXtA/MpEwG5KFaFoS8UFasiMeLXsGxlD6+/2ik87K0OLPn7+SnPT7ULtkh1RaamP9oNVqFWd2V1VVoaioCEajEQBQX18Pk8mEoqIi2Gw21NfXJ8ba99Fqtbj22mvDvpcz/wNH7RwlRz0d0bQk4oO0ZEesWh49O4z7//CGmFxjycIM/PkLRbhkVXaiTVQM1C7ZIZWWikzK4fP50NXVhXXr1kGjCd204KRrDNf93D9h4MObVuCx+woSYnOyEE1LIj5IS3bEomXr8X584U82cd/utYvn48kvXIm1ixfMpamyh9olO1hqmfRJOQRBQH9/f9icoPqgHnU/9ainJZqWRHyQluyYTsu9757DPTs+yIB18cpFMH/xWnLSYaB2yQ6ptFRkj3o6Nnz3JYx7eWxYnoXd37yRgYUEQciF5988iW/vegve97cbu9qgR939hViUmSaxZQQRO0nfo/b5fDh8+HDEDCaBCWU0Rj0902lJxA5pyY5wWgqCgB1NHL7+3Juik779khX40+evJCcdBWqX7JBKy5gnk8mNsbGxiO/lzE9Hz4Ab/SMTEAQBKhVtGRiNaFoS8UFasiNYSx8v4McvHMKfmt8Tj91z1Rr8+M5N0NCWoNNC7ZIdUmiZlKHv+x5/A68e9e/+8tb3b0X2PHraJgil4vb48PXnWrH7nTPisW8WX4iHtqynh3BCsaRE6Lu9vT1i+GHxwg8mlPUNj4f9DOFnOi2J2CEt2RHQ8tzgGO7Z8bropLVqFX5hvAxfL76AnHSMULtkh1RaKtJRT8fSoIxZ54bIUROEEukZ8qC09nVxI5MF6Ro88bkilBbmSmsYQcwxihyj1mg02LRpU8T3l2R94Kh7h2lCWTSm05KIHdKSHW+fGsLD1l70vb+74LKsDPzx87SRyUygdskOqbRUZI/a5/OhtbU1YvghtEftniuzFMl0WhKxQ1qywXroDD5dt1900hcsW4i/f+U6ctIzhNolO6TSUpE9agCYN29exPeWBvWoz9EY9bRE05KID9Jydjz1+jH89/PteH/1Fa5al4O6zxQhez5NCJ0N1C7ZIYWWinTUGo0GGzdujPj+kqAede8Qhb6jMZ2WROyQljOH5wVUv3wYtU2ceOxjl6/CL0svQ4aWtr2cDdQu2SGVlooMfXu9XthsNni93rDvU486dqbTkogd0nJmjE548cWnWkKcdPkN5+O+PA80kHz1qOKhdskOqbRUZI9apVIhJycn4vIM/YJ0qFUAL9Cs7+mYTksidkjL+Dkz6MYDf7ah/eQgAECjVuEHH78E9xSdh66uLtKSAdQu2SGVlop01BqNBuvXr4/8vlqFxQszcG5onBz1NEynJRE7pGV8tJ8cwIN/PojTg/4Jn1kZWjx6bz4+dOFSACAtGUHtkh1SaanY0Hdzc3PU8MPyRf7w97nhcXh9lDA9ErFoScQGaRk71kNnsLV2v+ikz8uZh79++VrRSZOW7CAt2SGVlop01Gq1GqtXr4ZaHdn8FYv8M/N8vEBrqaMQi5ZEbJCW0yMIAh7fx6HsLwcxOuFf4rJ5jQ7/+Mp1uHB5lvg50pIdpCU7pNJSkaFvtVqNtWvXRv3MyuxMsdwzMIYVQa+JD4hFSyI2SMvoeHw8fvB/7+DpN46Lxz562Ur8svRyZKaFzuwmLdlBWrJDKi0V+Yjl9XrR1NQUNfwQ7JhPD9CmJ5GIRUsiNkjLyAy6PfjCn2whTvqhW9bjt5/ePMVJA6QlS0hLdkilpWJ71Hl5eVHDD6E9anLUkYhFSyI2SMvwcOeG8eCTB8GdGwEApGvU+PmnLsUn88+LeA5pyQ7Skh1SaalYR7169eqon1mZ/cHuMWcGyVFHIhYtidggLaey991z+Oozdgy5/T2QnPlpqP1MIa5cp496HmnJDtKSHVJpqchHLK/Xiz179kQNP1CPOjZi0ZKIDdLyAwKTxj7/xwOik96wPAvPf+X6aZ00QFqyhLRkh1RaKrZHvWnTpuizvoMc9Yn+0bkwS5HEoiURG6Sln3GvD//193aYW06Ix0ouXo5fbbsCCzNi+8khLdlBWrJDKi0V66iXLVsW9TOZaRosy8rA2aFxHHeOzZFlyiMWLYnYIC2Bs0NufPEvLWIOaQD42i3r8c3iC6FWx76bE2nJDtKSHVJpqchHLI/Hg927d8Pj8UT93NrF8wEAvcPjGBmnsE84YtWSmJ5U17LthAsf/91ropPOTFPjd3dvxrdv3RCXkwZIS5aQluyQSktFOmqNRoOioiJoNNGz6qzRLxDLx/oo/B2OWLUkpieVtfy/t06h9Pcf7DS2MjsT5i9ei49dvmpG35fKWrKGtGSHVFoqNvSt108/ISXQowaA484RXLxqUSLNUiSxaklMTypq6eMF/GL3Efx+r0M8VrA2B7+/ryAki128pKKWiYK0ZIdUWiqyR+3xePDiiy/GHPoGqEcdiVi1JKYn1bR0jkzgs08cCHHSWwvPwzNlV83KSQOpp2UiIS3ZIZWWiuxRa7Va3HDDDdBqo5u/Rh/kqJ3kqMMRq5bE9KSSlu0nB1DxlxacdPknamrUKnz3Ixfhc9eezyQFYCppmWhIS3ZIpaUi75xKpcKiRdOHsdcu/mCM+jj1qMMSq5bE9KSKluaWE/jPv7+NCa8/K92Shen4n3vycZVhMbNrpIqWcwFpyQ6ptFRs6Pv555+fNvyQMz8NWe+v2zzmHJkL0xRHrFoS05PsWk54eXzvH+34Tv1bopPevEaHF752A1MnDSS/lnMJackOqbRUCYIgzOkVwzA4OIjs7GwMDAzE9LQiCALcbjcyMzOnDbN95Lf78M6pQWjUKhz+8e1I0yjy2SRhxKMlEZ1k1vLMoBtfeip0ffS9V63Bf3/sYmRo2c+ATWYt5xrSkh0stYzH7yky9A0g5jGCtYvn451Tg/DxAk72j+H8JQumPynFoLErdiSjlge6nPjKM3acGxoHAKRr1fjJXZuwtTA3oddNRi2lgrRkhxRaKrJ76fV60dDQENN+qyFrqWlC2RTi0ZKITrJpKQgCnni1C/fseF100qt18/DXL16bcCedbFpKCWnJDqm0VGzo2+v1QqvVTht+eO7AcTz8t7cBAD/42MX43HXrmNicLMSjJRGdZNJy0O3Bw39tQ8Pbp8Vj161fjN9+ejMWL5zd0qtYSCYtpYa0ZAdLLVMi9B0QazouWJ4llo+cGUqkSYolVi2J6UkGLd85NYCvPG3He0ErJSo+ZMB/3LoB2jmc45EMWsoF0pIdUmip2NB3Y2NjTOGHDSs+cNQdPeSoJxOPlkR0lK6lIAh49sBxfOJ/m0UnvShTix33F2L7hy+acyetZC3lBGnJDqm0VGToO15urPkXjjtHMT9dg/Yf3BZ3ggCCSHZGJ7z47t/b8bfWk+Kxy87Lxv/ck4/coI2DCIJgQzx+T5E9akEQMDg4iFifMTa+36senfChm3JThxCvlkRklKpl55kh3PnoayFO+rPXrEX9F6+RzEkrVUs5QlqyQyotFemovV4v9u3bF3P4YSOFvyMSr5ZEZJSo5d9bT+Djj76GzrPDAIAF6Rr87u7N+OGdmxKyPjpWlKilXCEt2SGVlikR+m54uwdfftoOAPhG8QX4RvGFzK9BEEpibMKHH73wDp490C0e27giC/97bz4MSxdKaBlBpAZJH/rmeR5OpxM8z8f0+eAe9WHqUYcQr5ZEZJSi5eHTg/jYo6+GOOmthefh71++TjZOWilaKgHSkh1SaalIR+3z+WCz2eDz+WL6/NrFC5CZ5q8qLdEKJV4ticjIXUtBEPCX/e/h44++hqPvh7rnpWnwC+NlqDFejnnp0oW6JyN3LZUEackOqbRMidA3ANz56Kt468QAVCrg7R/choUZtKaQSB1coxMw/bUNu985Ix67aOUi/O7uzVi/TB69aIJIJVIi9H327Nm4wg+bVmcDAAQBeKvblSDLlMdMtCTCI1ct3+D68OHf7Atx0p+79nz8/cvXytZJy1VLJUJaskMqLRXrqNvb2+MSq2BtjlhuOdafCLMUyUy0JMIjNy29Ph6/sryLu3e8jp4BNwB/6tfH7y/EDz5+CTLT5BPqnozctFQypCU7pNIyZULfx/pG8KFf/BsAcNOGpfjT569MyHUIQg6cco3hG8+9iQPvOcVjVxv0+PW2zViRnSmhZQRBACkS+j558mRcTzVr9POxZGE6AMB+rB88L/nziSyYiZZEeOSi5T/fOoUP/2af6KQ1ahW+XXIhnn7wasU4ablomQyQluyQSkvFOmqHwxGXWCqVCvlr/OHvQbcXjnPDiTJPUcxESyI8Ums5MObBN55rxdeebcXAmAeAPy3lzvKr8bUtF0CjoK1zpdYymSAt2SGVlsxC33a7f0OR/Px8cBwHl8uF/Pz8mM6di9A3ANTudaDqpcMAgJ9/8lJ8+so1CbsWQcwlzY5efGfXWzj1/lg0AHz0spX46V2XInt+moSWEQQRDklC37W1tSgoKIBKpUJFRQUMBgOrr54Cz/M4duxY3E81wRPKDtKEMgAz15KYihRajnt9+OmLh3Dv42+ITjorU4vffPoK/O7uzYp10tQu2UFaskMqLZk56oKCAvT396O/vx8WiwU6nY7VV09hpuMEm1ZnI0Prr/JrR3tpk3rQ+BVL5lrLw6cHceejr2HHvi4EmvLVBj1e/saNuPOK1bNObC8l1C7ZQVqyQyotme76kUjnHIxWq8W1114b93mZaRpcZViMpnfPoWfAjaNnh3HB8qzpT0xiZqolMZW50pLnBfzh1S78YvcRTPj8PxjpGjX+47YNeOD6dUmRxpXaJTtIS3ZIpSWzHrXL5YLZbIbZbIbJZALHcRE/Oz4+jsHBwZB/AMRt2Xw+X9iy1+sVX7/77rvweDzi8cATTnDZ4/GElAVBwI0XLBHt+PeRs+JxQRDE7wsu8zwfUg5kTYlU9vl8IeVY6xStHtPVKbgcsD3WOnk8Hhw5cgQ+ny9p6iTVfRofH0dnZyd8Pl/C6tTtHMU9O17HTxs6RCe9YflCPP/V6/CF69aC56PXQyn3aXx8HEePHsXExAS1vVnWyev14ujRo3C73UlTJ6nuU8D3TExMMKlTrDBz1OXl5TAajTAajdi2bRtKSkoifraqqgrZ2dniv9zcXABAe3s7AKCjowMdHR0AgLa2NnR2dgIAWltb0dXVBUEQwHEcurv9SQWam5vR09MDAGhqakJvby8AYM+ePXC5XACAxsZGDA0N4aYNS0U7/n3kHBoaGuD1euF2u9HQ0AAAGBoaQmNjIwD/A8iePXsAAL29vWhqagIA9PT0oLm5GQDQ3d2NAwcOAAC6urrQ2toKAOjs7ERbW1tMdQKAAwcOzKhOANDQ0AC32w2v1xt3nY4ePQpBEJKqTlLcp1dffRWnT5+GIAjM63T23Dn88Ok9uO3XTXi9y7/sSqUCtl2+GNsLtbho5aKkuk8HDx5Ef38/3nvvvaSpk5R/T/39/di9e3dS1UmK+yQIAo4fP47Dhw/Puk579+5FrDCd9R2Y5e1yuZCTkwOHwxF2Utn4+DjGx8fF14ODg8jNzYXT6UROTo74VKLRaELKXq8XKpVKLKvVaqjV6ohlj8cDjUYjlrVaf6T/2p/vQc+AG+laNQ5uvxlZ8zMA+J920tLSIAiCWOZ5Hj6fTyzzPA+tVhux7PP5IAiCWA5XD9Z1UqlUIfXzer0hZaqTsut0ZtiDSnMbmh194t/MyuxM/L+tl+PqdXpF1ikZ7xPVieoUT536+vqwZMmSmGZ9M3HUdrsdW7ZsQX+/fyZ1wFH39/fHNG4d7/Isn8+Hzs5OXHDBBdBo4t8Gcfvf2sQUf098rhC3bFwe93ckC7PVkvgA1loKgoBnDhzHz17swMjEB9l67r4yF/95x0XIylTmjO5YoHbJDtKSHSy1nPPlWQaDAdXV1eJrq9UKo9GY0MllY2NjMz73pg3LxPJLb59mYY6imY2WRCistDzRP4rP/OEA/uvv7aKTXpWdiSe/cCWqPnlZUjvpANQu2UFaskMKLZmGvq1WK3Q6HRwOR4jjno652vAkgNvjQ8GPLRiZ8GFRphYHv1uCdK0iN2kjkgxBEPCcrRs/fbEDw+Ne8fini3Lxnx+5CItSwEETRCoQj99jtjwrPz8/5p3IZovP50NHRwcuuuiiGYUfMtM0KLl4Of7x5ikMur3Y13kOWy5KzfD3bLUkPmC2WnY7R/Gff38b+zp7xWMrszPx809dhg9duDTKmckHtUt2kJbskErLlO1GfvSyVWL5hbYeCS0hUh0fL+DxfRxu/VVTiJPeVpiL3d+8MeWcNEEQoaRMmsvJjHt9KPyJFUNuLxZmaHHgv7ZgfjrT/V8IYloOnRrE9r+14a0TA+KxFYsyUfWpS3Fz0FwKgiCSi6RPc+nz+dDa2ipOjZ8JGVoN7ti0EgAwPO7FC2+lZq+ahZaEn3i0dHt8qHn5MD7+6Kuik1apgM9cvRaWb92Y8k6a2iU7SEt2SKWlIh01AMybN2/W3/HpK3PF8tMHjs/6+5QKCy0JP7Fo2ezoxe2/bsL//tsB7/t50dcvWwjzF6/Bj+/alBIzumOB2iU7SEt2SKFlyoa+Af8M2zt++yo6evxbmL740PW4ZFX2nF2fSC0GRj34WUMHdh7sFo+laVT4ys3r8aWb8pChpYk+BJEqJH3o2+v1wmazifuwzhSVSoV7rvogJ/VTrx+brWmKg5WWRGQtBUHA82+exJZH9oY46YK1OWh46AZ8o/hCctKToHbJDtKSHVJpqUhHrVKpkJOTwySN311XrMLCDP8ksr+2nMTZQfesv1NJsNQy1Qmn5dGzQ7hnxxv4+nNvonfYv23uwgwtfnznJaivuCbls7dFgtolO0hLdkilZUqHvgNUNXSgtsmf7aviRgO233HRnNtAJBejE148uucoduzj4PF98CdWcvFy/OjOS7Aym8YMCSKVSYnQd3NzM7PwwwPXrxN3Jnvq9WMYGI09/ZjSYa1lKuP1evHaa6/hpbaTKHnEP1ks4KTPy5mHP3y2EDvuLyQnHQPULtlBWrJDKi0V6ajVajVWr14NtZqN+csWZaK04DwAwMiED4/tdTD5XiXAWstU5oTLjUfbfPjSM2/ipMu/H3C6Ro2v3bIelm9+KGV3v5sJ1C7ZQVqyQyotKfT9Pif6R3HLL/diwscjXavGv75zE1brqOdDTI/b48OOJg6P/usoxr28ePz69UvwozsvgWHpQgmtIwhCjqRE6LupqYlp+OG8nPn43HXnAwAmvDz+X+MRZt8tZxKhZaogCAJebj+Nkl/txf+zvCs66eVZGXj0ns34ywNXkpOeIdQu2UFaskMqLRXpqNVqNfLy8piHH75y03pkz/NvNvE3+0kc6HIy/X45kigtk50jp4dw3x/ewBefakG30x/m1qhV+PQVS2H51o346GWraJbtLKB2yQ7Skh1SaUmh70n8ufk9fP//3gHg3y3qxYeupzWuhEj/yAR+ZX0XT71+DHzQX841hsX4/scvxsYV0rZfgiCUQUqEvvfs2ZOQ8MN9V6/F5bk6AMDRs8P4nz1HmV9DTiRSy2TC6+Px5+b3cNMv/40n93/gpHP18/D7+wrwTNlVWL9kPmnJCGqX7CAt2SGVlopMF6VWq7Fp06aEhB80ahV+/slL8dHfvQofL+DRfx3FjRcuReH5eubXkgOJ1DJZaHr3HH7y4iG8e2ZYPDY/XYOv3LweD1y/Dplp/ogLackO0pIdpCU7pNKSQt8R+O0rnXjE8i4AYLVuHhoeugHZ8ylZQipx6NQgql7qCMkRDQCfzF8N0+0bsXxRpkSWEQShdJI+9O3xeLB79254PInbmOQrN6/Hle/3ok+6xvCVZ+zw+PhpzlIec6Gl0jjlGsO3d72Fj/xuX4iTviJXh79/+Vo8svWKsE6atGQHackO0pIdUmmpyB41z/NwuVzQ6XQJDUGcdI3h4797FX0jEwCA+69Zix/duSlh15OCudJSCQy6PXjs3w488WpXyHro83Lm4T9u24CPXbYKanXkmdykJTtIS3aQluxgqWU8fk+RjnouOfieE/fseAMT7/emv/+xi/H569ZJbBXBkgkvj6ffOIbfvtKJ/qDtY7PnpeFrt6zHZ65ZSzP/CYJgSkqEvl988cU5CT8Unq/Hzz55qfj6h/88hGcPHE/4deeKudRSbvh4AX9vPYHiR/bih/88JDrpdI0a5Tca0PQfN+PBGwwxO+lU1pI1pCU7SEt2SKWlInvUgiBgaGgIWVlZc7apxC93H8Gj//pgqVbNpy7D1qLcObl2IpFCS6nheQG73zmNRyzvovPscMh7d12xCt++dQNy9fPj/t5U1DJRkJbsIC3ZwVLLePyeIpdnqVSqOQ+Rf/vWCzHh41H3fjpM09/aMOj24IHr1ym68UuhpVQIgoB/HzmHXzYewTunBkPeu279Yjx8+0W49LzsGX9/KmmZaEhLdpCW7JBKS8WGvp9//vk5DT+oVCps//BGfOH98WlBAH7yYgd+8H/vwMdLHpSYMVJoKQX7HX0w/n4/Pv8nW4iTLlibg2fLrsbTD149KycNpI6WcwFpyQ7Skh1SaanY0Lfb7UZmZuac92YFQcBvXunEr62d4rEbLliCX2+7AosXZsypLSyQUsu5wPaeE7+xduLVo6FroS9ZtQjfuXUDbtqwlFm9k13LuYS0ZAdpyQ6WWiZ96BsAtFppTFepVPhG8YVYrZuH7X97G15ewL7OXnzkt6/id/dsRpECdzCTSstEIQgCmh19+O0rnXhjUmKV9csW4lslF+L2S1ZEXWo1U5JNSykhLdlBWrJDCi0VGfr2er1oaGiQdO/a0sJc/OWBq7Dk/V706UE3ttXuR9VLHXB7fJLZFS9y0JIVgiDgX4fP4lOPNePex98IcdJr9PPxyNbLsfsbN+KOS1cmxEknk5ZSQ1qyg7Rkh1RaKjb07fV6odVqJQ/lnB1y46FnW/E694FTMCxdgJ/edSmuyVssoWWxISctZwrPC2g8dAaP/qsT7SdDJ4kZlizAl29ejzuvWIU0TWKfS5NBS7lAWrKDtGQHSy2TfsMTuY25eH08aps4/MbaKW6MAgC3X7IC2+/YiLWLF0hoXXTkpmU8jHt9eL71FHbs46Yss7pw+UJ89ZYL8JFLV0KTgN5zOJSspdwgLdlBWrJDqjFqxYa+GxsbZRPK0WrU+MrN6/HiQ9fjivdTZALAy++cRskjTfjxC4dwdsgtnYFRkJuWsTAw6sH//Osorq/+Fyr/2hbipC9ZtQi/v68AL3/9Rnz88lVz5qQBZWopV0hLdpCW7JBKS0X2qOWMjxfwV/sJ/GL3EZwbGhePZ2jVuPvKNfjih/KwIpuyLs2EbuconnitCztt3RidCJ0HULg2B1++OQ83b1hGvQaCIGRPSoS+5b7TzvC4F//7r6N4/NUuTAQleEjTqHD7ppW4/5q1KFybI7n9ctcyMIP7yf3vwXLoDIKXrKtU/uGFshsNyF+TI52R7yN3LZUEackO0pIdUu1MptjQ9759+2QdylmYoUXl7RvxauXNePD6dZiX5t8v2uMT8M+3TqH09/vx4d/sw9NvHMPAmHQbEchVyyG3B396rQvFj+zFvY+/gd3vfOCkM9PUuP+atfj3d27CY/cVyMJJA/LVUomQluwgLdkhlZaK7FErkb7hcTzxWheePdAN5/tpMwOka9S4eeNS3HXFaty8cRky01I3U9Ph04N46vVj+Jv95JTw9rKsDNx39Vp85uq1yFmQLpGFBEEQsyfpQ99Kzq/q9vjQ8HYPntx/DG92u6a8n5WhxYc2LEXxRctx04al0M1PrEOSg5au0Qn831unYG45gbYTA1Pev3KdHvdfsxa3XbIi4UusZoMctEwWSEt2kJbskCoftSK3q/H5fLDZbLjlllsU1/Ay0zT4ZP55+GT+eXj7xAD+1noC/3yrB73D/olnQ+NevNDWgxfaeqBWAYVr9dhy0TJct34JLl65iPlGHVJp6fXx2NfZC3PLCVgOnQlZ1gYA89M1+MTm1fjMNWuxcYUyoixKbpdyg7RkB2nJDqm0VGSPOtnw+njs5/rwj9ZTsBw6jUF3+PGP7HlpuGqdHtfkLcY1eYtxwbKsOV1+NFu8Ph6vc068+HYPGt85jb5JQwAAcOnqbBgLzsMn8ldjUWaaBFYSBEEknpQIfff29mLJkiVJ94To9fE4eKwfr3ScwSsdZ8H1jkT87MIMLS5dnY0r1uhwRa4Om3N1WLYovqVfkbT08QIOdDlxdsiNZVmZuHKdfkYPBaMTXux39MFy6Ax2v3Ma/aNTJ84tWZiOu65YjU8VnIeLVir3QS2Z2+VcQ1qyg7RkB0stkz70zfM82tvbceONNyZdw9Nq1LjasBhXGxbjvz5yMRznhrHv3XPYz/XhjS4nXEGObnjci/1cH/ZzfeKxldmZuGjlImxckYWNKxfhohVZWLdkAbQRxnbDaflyew9++M9D6Blwh3zv9z92MW7ftDKq/V4fjyNnhvDa0V7sffccbF39U8LagH/m9i0bl+GTm8/DhzYslfXYc6wkc7uca0hLdpCW7JBKS0X2qFMVnhdw+PQQ9nN9OPieE292u0KcaSTStWpcuHwhLliWBcOSBVi3dAEMSxZi3ZIFmJceOsP85fYefOkpOyY3ikBf+rH78kVn7eMFnOgfxbtnhvFWtwstx/rx1gnXlNnaAealaXDLRcvwkUtX4qYNSzE/XZHPiQRBELMmJULfPT09WLlyZco/IZ4ecOPN7n60drvw5nEXDvUMYijCGHc4VukysWqhFrlLF2FpViaePXA86vnz0zW42rAYp1xj6Oodwbh3am85mPNy5uFDFy7FjRcuxY0XLJ3yYJBMULtkB2nJDtKSHSy1TInQt8PhwPLly1O+4a3IzsTt2SvFXq4gCDjpGsPhniEcPj2Ijp4hdJwexHu9IyG7egU45XLjlAs4eGJ46pthGJ3wYc/hsxHfX5Wdify1OShcm4MbLlwKw5IFKbMbErVLdpCW7CAt2SGVlorsURPx4/b48F7fCLhzI+jqHYHj3DC4cyPgzg1HnGUeDa1ahTWL5+OCZQtx4fIsbFyxCPlrdViZPS8B1hMEQSQXKdGj7u7uRm5uLj0hxkhmmgYbVyyasibZ5/Ohw3EM6YuWoKmzFz95sWPa73rs3nzcdskK5mu6lQ61S3aQluwgLdkhlZaKvGs8z+PkyZPg+ejjo8T0CIKAwd7TMCyZj89ftw4rszMRyf2q4J/9fSs56bBQu2QHackO0pIdUmlJoW8ihMCsbwAhM7/DzfomCIIgZkbSZ8/y+Xw4evQofL7wy4CI2Jms5e2bVuKx+/Kn5MxekZ1JTnoaqF2yg7RkB2nJDqm0VOQYtSAI6O/vx/nnny+1KYonnJa3b1qJkotXMNmZLJWgdskO0pIdpCU7pNKSWeib4ziYzWYYDAZwHIfy8nLodLqYzqXQN0EQBJFKSBL6Li0tRWVlJYxGI4xGI8rKylh99RR8Ph8OHz5MoRwGkJbsIC3ZQVqyg7Rkh1RaMnHUHMeFvDYYDLBarSy+OiJjY2MJ/f5UgrRkB2nJDtKSHaQlO6TQkomjtlqt0Ov1Icf0ej3sdjuLr5+CRqPB5s2bodEk73aUcwVpyQ7Skh2kJTtIS3ZIpSUTR+1yucIedzqdYY+Pj49jcHAw5B8AMZzg8/nClr1er/i6ra0NHo9HPB5Y1xZc9ng8IeXAcHygLAjClDKAkDLP8yFlr9cbtezz+ULKsdYpWj0SWSePx4O2tjb4fL6kqZNU92l8fBxvv/02fD5f0tRJqvs0Pj6O9vZ2TExMJE2dpLpPXq8X7e3tcLvdSVMnqe5TwPdMTEwwqVOsJHR5ViQHXlVVhezsbPFfbm4uAKC9vR0A0NHRgY4O/w5ZbW1t6OzsBAC0traiq6sLAHD69GmcOHECANDc3Iyenh4AQFNTE3p7ewEAe/bsEW1obGzE0NAQAKChoQFutxterxcNDQ3wer1wu91oaGgAAAwNDaGxsVGsw549ewAAvb29aGpqAgD09PSgubkZANDd3Y0DBw4AALq6utDa2goA6OzsRFtbW8x1OnDgALq7u+e8TgEdk6lOUtynV199VQyLJUudpLpPLS0tAIBjx44lTZ2kuk/Dw/59/Hfv3p00dZLyPjmdThw+fHjWddq7dy9ihcms77q6OtTW1op/XACQk5OD+vp6FBcXT/n8+Pg4xsfHxdeDg4PIzc2F0+lETk6O+FSi0WhCyl6vFyqVSiyr1Wqo1eqIZY/HA41GI5a1Wi1UKpVYBvxPOMHltLQ0CIIglnmeh8/nE8s8z0Or1UYs+3w+CIIglsPVg+pEdaI6UZ2oTqldp76+PixZsmTu0lxyHIfS0tIpjrqrqyumJVoDAwPQ6XTo7u6OaXmWz+dDe3s7Nm3aROMus4S0ZAdpyQ7Skh2kJTtYahnooLpcLmRnZ0f9LJMNTwwGQ8hrjuNQWFgY8zrqQBgjEAInCIIgiFRgaGhoWkfNdMOT2tpaFBUVwWazYfv27TE7ap7ncerUKWRlZcWUuzjwJBJrD5yIDGnJDtKSHaQlO0hLdrDUUhAEDA0NYdWqVdNm4pJFUo54oZ3M2EFasoO0ZAdpyQ7Skh1SaanIpBwEQRAEkSqQoyYIgiAIGaNIR52RkYHvf//7yMjIkNoUxUNasoO0ZAdpyQ7Skh1SaanIMWqCIAiCSBUU2aMmCIIgiFSBHDVBEARByBgmG57MFRzHwWw2w2AwgOM4lJeXx7xWmwjFbrejrKwsZDc5YmbY7XYxravNZsOOHTuoXc6QgI4ulws2mw3btm1Dfn6+xFYpH5PJFNfeFkQogUyQ+fn54DgOLpdrbtuloCDy8/PFssPhEIxGo4TWKJf6+nqhpaVFUNjtly3V1dUh5eB2SsSHTqcTWlpaBEEQhNraWsFgMEhskfIJ/K339/dLbYpiKS8vFwAIAITi4uI511IxoW+O40JeGwwG8embiA+j0Ui9FEbY7XZUVVWJr41GI+x2+5T2SsRGfX19SNukHuDs4ThuyjbPRHwUFBSgv78f/f39sFgsc94uFeOorVYr9Hp9yDG9Xi+GJAhCCvLz87Fjxw7xdSAV3+S2SsRGcLa9+vp6VFRUSGiN8jGbzTAajVKbkRTodDrJHhwVM0YdKbe10+mcW0MIYhLBP4Q7d+5EcXEx9QRngd1ux86dO1FSUoLy8nKpzVEsLpeL2iEjXC4XzGYzAP88lIqKijmNUijGUUcikgMniLkm8MdME/RmR35+PgwGA0wmE/UIZ8GuXbvoQYcRwROXDQYDSkpK4HA45uz6igl963S6Kb1np9NJT4yEbDCZTJKMXyUjOp0OpaWlKC0tpYfxGWC1WrF161apzUgaguecBFYdzeU8FMU46uCxq2AKCwvn2BKCmEpNTQ1MJhMMBgNcLhc5lxlgtVqRk5Mjvg6EFmli3szYtWsX6urqUFdXB47jUFVVRXN6ZoDdbseWLVumHJ/LeSiKCX1PHg/gOA6FhYXUe5klNI41e8xmsxiudblcFHKcIXq9PuSB3G63Q6fT0QqFGTC5Y1NRUTHn46rJgsFgQHV1tfjaarXCaDTO6e+movb65jgOtbW1KCoqgs1mowX8M8RqtcJisaCmpgaVlZUoKiqiccAZwnEc8vLyQo7pdDr09/dLZJGyMZvN4hCXxWJBdXU1OZdZ4HK5UFdXB5PJhPLyclRUVNCDzwwIbGqk0+ngcDhCHPdcoChHTRAEQRCphmLGqAmCIAgiFSFHTRAEQRAyhhw1QRAEQcgYctQEQRAEIWPIURMEQRCEjCFHTRAEQRAyhhw1QRAEQcgYctQEkaJUVFRM2ayFIAj5oZgtRAmCYEtpaSmliSUIBUA9aoJIUSwWC0pKSqQ2gyCIaSBHTRApitVqpexzBKEAaK9vgkhRVCoVBEEAx3Gw2+3gOA6VlZVSm0UQxCSoR00QKYjdbkd+fj5cLpdY3rlzp9RmEQQRBppMRhApiNVqBQAcPHhQTHHa0tIipUkEQUSAetQEkYJYLBZs374dHMehoqJCanMIgogCjVETRAqSk5OD/v5+AEBeXh4cDgfMZrPYuyYIQj5Qj5ogUgyO41BcXCy+NhqNMJvNyM/Pl9AqgiAiQT1qgiAIgpAx1KMmCIIgCBlDjpogCIIgZAw5aoIgCIKQMeSoCYIgCELGkKMmCIIgCBlDjpogCIIgZAw5aoIgCIKQMeSoCYIgCELGkKMmCIIgCBlDjpogCIIgZAw5aoIgCIKQMeSoCYIgCELG/H9rgXgfrjOxVAAAAABJRU5ErkJggg==" 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 13 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:44.885980Z", "start_time": "2024-09-04T22:37:44.880555Z" } }, "cell_type": "code", "source": [ "def Orlicz_function(u):\n", " Phi = np.zeros(len(u))\n", " for i in range(len(u)):\n", " if u[i] <= 1:\n", " Phi[i] = u[i] ** 2\n", " elif u[i] <= 2:\n", " Phi[i] = 2 * u[i] - 1\n", " else:\n", " Phi[i] = (u[i] - 1) ** 2 + 2\n", " return Phi" ], "id": "cfb33ccd279aafc0", "outputs": [], "execution_count": 14 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:45.156528Z", "start_time": "2024-09-04T22:37:44.948865Z" } }, "cell_type": "code", "source": "osm.plot_Phi(Orlicz_function, du=0.01, u_max=3)", "id": "b559df093d40f45a", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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HtGnTTN+WCSdmIjETiZlIzEQyeyZvvL8P/9yxDwCQkuzE47deDLt9aBcqMSoTtr6JiCiufHbIh2t+9zY6jt6+8ollM3DTzIkGj6o/S7S+/X4/Nm3aBL/fb/RQYgYzkZiJxEwkZiKZNRNV1fCj3Pf1Iv3l6eNx44wJYfnZRmVi2kLtcDgwZ84cS17n+3iYicRMJGYiMRPJrJm8WPIJ3tnde4/pcaOS8aubpoXt2txGZRIzN+UIld1uR3p6utHDiCnMRGImEjORmIlkxkx27ff2u+HG40svhmt4Yth+vlGZmPYVtd/vx4YNG0zXlokkZiIxE4mZSMxEMlsm3UoA33t1B3oUFQDw/xachUvPOS2sv8OoTEx7MpmmafB6vUhJSYm727CdKmYiMROJmUjMRDJbJr968yP9wibnjB2JNx68FMkJ4W1RhzOTUGqiaVvfNpuNZ48fg5lIzERiJhIzkcyUyZaPW8TVx8JdpAHjMjF163v9+vWmactEAzORmInETCRmIpklkwPebvwo93396x9/6XxMnZAakd9lVCambn37fD4kJyeboi0TDcxEYiYSM5GYiWSGTFRVw9f/txxbPj4AALjivDH48z1zIjbecGZiic9RA4DTadrOfcQwE4mZSMxEYiZSrGfy55JP9CJ92sgkPL704og/qTAiE9MWakVRkJ+fb+rr0IYbM5GYicRMJGYixXomH+47hNVvff5RrN/eejFOG5kU0d9pVCambn0rigKn0xmzbZloYyYSM5GYicRMpFjOpLNHwfV/eAd1B44AAO5dOBmPXHdhxH9vODOxTOs7Vp/pGYmZSMxEYiYSM5FiNZNfvvmRXqSnThiFH33hvKj9biMyMW2hVhQFBQUFMbuQjMBMJGYiMROJmUixmslbHzTjlbJGAMCwBAeevH0mkpzRuaSnUZmYtvVNRETWss/ThS/9fisOdfV+PGrNLdNx65wMg0d1aizR+tY0DR0dHYjS8wxTYCYSM5GYicRMpFjLJKBq+N66HXqRvm76eCydfUZUx2BUJqYt1IqiYOvWrTHXljESM5GYicRMJGYixVomT/6rFmUNbQCAia5h+PXNF0X9JDejMmHrm4iIYlrJ7lbc+aft0DTAYbfh1eWXYM5Z5rqz17Es0fpWVRVtbW1QVdXoocQMZiIxE4mZSMxEipVMDni78d11O9D3kvIHi881rEgblUlIhdrtdsPtdgMA6uvr9W0jBAIBlJeXIxAIGDaGWMNMJGYiMROJmUixkElA1fD9dTtwwNsNALjs3DG47/Ipxo3HoExCan2vWLECOTk5AIBFixYhNzcXLpdrUN/L1jcREYXiyX/V4rebdwEAxqYkIf+7CyN+9bFoiVjre9asWWhvb0d7ezs2b9486CIdCaqqoqWlxfC2TCxhJhIzkZiJxEwkozMprT+IJwp7i7TdBjx5+0zDi7RRmYT8HrXL5TK0QPdRVRXV1dX8ixWEmUjMRGImEjORjMyk9XA3vvNKJdSj/d7vLToXl2SOjvo4jmVUJiG1vtesWYPMzEwAQHl5OVasWKF/fazu7m50d3frX3d0dCAjIwNtbW1IS0vTe/wOh6PftqIosNls+rbdbofdbj/utt/vh8Ph0Lf7rsHatw1AvzZr33ZCQoJ+zdaEhASoqopAIKBvq6oKp9N53O1AIABN0/TtgebBOXFOnBPnxDmFPifAhrtf2I53dh8EAMzPTMdfvpENh91m2jkNdJw6OzvhcrnC3/pevnw5lixZgiVLlmDZsmVYvHjxcR+7atUqpKam6n8yMnqvHlNdXQ0AqKmpQU1NDQCgqqoKtbW1AIDKyko0NDQAAMrKytDY2HupuJKSEjQ3NwMAiouL0dLSgqamJhQVFcHj8QAACgoK4PV6AQD5+fnw+Xz97nbi8/mQn58PAPB6vSgoKAAAeDweFBUVAQBaW1tRXFwMAGhubkZJSQkAoLGxEWVlZQCAhoYGVFZWAgBqa2tRVVUVljm1trYCwCnPqaOjAxs3boSqqnEzp6EeJ7fbjaamJuzatStu5jTU46SqKrZs2YJ9+/bFzZzCcZwaGxvR2dkZV3MaynFSVRVVVVVRn9Ozb9fpRfq0kUn4UloL/D3dMbH23G43duzYAVVVw3KcBiukV9RutxtZWVl6IGlpaairqxvwVXWkX1GrqorS0lLMnTsXiYmJcfnMMtQ5+f1+lJSUYMGCBbDb7XExp6EeJ0VRsH37dmRnZ8PpdMbFnIZ6nFRVxbZt2zBv3jwkJibGxZyGepx8Ph/Kysowf/58AIiLOQ31OAHAtm3bkJ2djeTk5KjMyd14CHc8X4aAqsFmA176RjbmnpkaM2uvu7sbpaWlWLBgAQBE7RX1oAu12+3G1Vdfjfb2dgCfF+r29vZBvWfNs76JiOh42o704Nrfb8VnHb2vNL9z9Tn4weJzDR5V5ETkrO/MzEysXr1a/7qwsBBLliwx7MQyVVWxZ88envwRhJlIzERiJhIzkaKZSd91vPuK9CWZ6fju1edE/PeGyqh1MuhC7XK5MHv2bKxZswY5OTkoLy9Hbm5uJMd2QqqqoqmpiX+xgjATiZlIzERiJlI0M/lDUS2Kdx0AAJw2MhG/v20mHPboXsd7MIxaJ7zWNxERGWbLxy34fy+WQ9N6Py/90jezMX/KaUYPK+Isca3vQCCA3bt385J/QZiJxEwkZiIxEykamext78T3gq7j/dAXzo/pIm3UOjFtodY0De3t7TFzr9RYwEwkZiIxE4mZSJHOpFsJ4P6X3fB09t5fetEFp+Nblw98XY5YYdQ6YeubiIii7pHXP8DL2z8FAExKH443HrwUqcMSDB5V9Fim9b1z5062qoIwE4mZSMxEYiZSJDP5e8VevUgnOe149q4sUxRpo9aJaQs1AHR1dRk9hJjDTCRmIjETiZlIkcikprkDj/zzA/3rX900DVMnpIb990SKEeuErW8iIoqKDp8fN/zhHXxysBMAcPvcDKz6ynSDR2UMy7S+q6ur2aoKwkwkZiIxE4mZSOHORNM0/Oi19/UiPW3iKPz39VPD8rOjxah1YtpCTURE5rG2uB4FH+0HAKQOS8Czd85CcoLD4FGZA1vfREQUUVtrD+BrL5Tp95f+8z1zcOX5Y40dlMEs0/qurKxkqyoIM5GYicRMJGYihSuTTw924oG/VepF+jtXnW3aIm3UOjFtoQaAYcOGGT2EmMNMJGYiMROJmUhDzaSzR8Hyv76HQ129FzW5+vyx+N4ic98Ry4h1wtY3ERGFnaZpeOCVSmyoagYAZJ42Av98YAFGJcf+56WjwRKtb0VRUF5eDkVRjB5KzGAmEjORmInETKShZrK2uF4v0iOTnMi5e5bpi7RR68S0hdpmsyEtLQ02W+zdCs0ozERiJhIzkZiJNJRMincdwJqNO/Wvf3vrxTh7bEo4h2cIo9YJW99ERBQ2ew4ewQ1PbdPfl/7u1efg+4vN/b50JFim9V1SUsJWVRBmIjETiZlIzEQ6lUw6exSs+GuFXqQXXXA6vnv1OZEaYtQZtU5MW6jtdjsmTpwIu920Uwg7ZiIxE4mZSMxECjUTTdPwUG4Vdn7mBQBkjhmB3y27GHZ7/LydYNQ6YeubiIiG7Jktu7Fm48cAek8e++e3F+DssSMNHlXsskzru7i4mK2qIMxEYiYSM5GYiRRKJv+q2Y/fbPpY//p3y2bEZZE2ap2YtlDb7XZMmTKFraogzERiJhIzkZiJNNhMPv7Mi++8Uom+3uz3Fp2DxReeHoURRp9R64StbyIiOiUHD3fjxqe3YW977z2ar7toPP5w+8y4el86UizT+i4qKmKrKggzkZiJxEwkZiKdLJNuJYBvvVShF+mLJqbi8aXxdfLYsYxaJ6Yt1Ha7HdOmTWOrKggzkZiJxEwkZiKdKBNN0/Cfr1ej/JN2AMDYlCQ8d/dsDEuM79tWGrVO2PomIqKQPFdcj0fzawAASU47XlsxDxdnuIwdlMlYovXt9/uxadMm+P1+o4cSM5iJxEwkZiIxE+l4mRTt3I9fv1Wjf/2bpRdbpkgbtU5M+4paVVV4PB64XC62q45iJhIzkZiJxEykgTLZtd+LrzxTgsPdve/Rfueqs/GDa84zcphRFc51EkpNNG2hJiKi6Gk70oMbn34HjW29J49de9E4PHV7VlyfPBZJlml9b9iwga2qIMxEYiYSM5GYiRScSY+i4lsvVehFetrEUfifpTMsV6SNWiemfUWtaRq8Xi9SUlJ4a7qjmInETCRmIjETqS+TkSNH4ke5VfhHZROA3jO81z+wAONThxk8wugL5zoJpSY6h/SbDGSz2dhCPwYzkZiJxEwkZiL1ZfJE4S69SCc57ci5e7YlizRg3Doxdet7/fr1bFUFYSYSM5GYicRMJL/fj0ee/z88UVgLALDZgCeWzcAMi5zhPRCj1ompW98+nw/JyclsVR3FTCRmIjETiZlIJbtb8bUXyuBXe0vEI9degHsvyzR4VMYK5zqxxMlkAOB0mrZzHzHMRGImEjORmMnndrd4seKlCr1I33XJJHxz4WSDRxUbjFgnpi3UiqIgPz+f1+YNwkwkZiIxE4mZfO6Atxv3/LkcXl9vFpefexp+dv1Udhpg3DoxdetbURQ4nU4uoKOYicRMJGYiMZNeXT0B3JbzLt7fewgAcMG4FOR+ax5GJicYPLLYEM51YpnWN5/9SsxEYiYSM5GsnklA1fC9dZV6kR6fmoxnb5+OEUl8SyCYEevEtIVaURQUFBRY/i9XMGYiMROJmUjMBPh1fg02fbgfADAyyYmcu2bi/dK3LZ3JsYxaJ6ZtfRMRUXi8uK0BP3vjIwCAw27Dn++Zg8vOHWPwqOKbJVrfmqaho6MDUXqeYQrMRGImEjORrJzJm1X78PM3P9K//tVN03DZuWMsncnxGJWJaQu1oijYunUr2zJBmInETCRmIlk1k5K6Vvxg3fvoqzvfvnIKbp87CYB1MzkRozJh65uIyII+3HcIy9aW6resvHX2GVh9y3RLn/UeTZZofauqira2NqiqavRQYgYzkZiJxEwkq2XS2NaJe/5crhfpq88fi1/ffFG/Im21TAbDqExOuVCvXLkSHo8njEMJTSAQQHl5OQKBgGFjiDXMRGImEjORrJTJwcPduPuFMhzwdgMAsia58NQdWXA6+pcDK2UyWEZlckqtb7fbjVmzZqG9vR0ul2tQ38PWNxGRsY50K7jjuVL9s9Jnjx2J3BXzkDYi0eCRWU/EW9/19fXIzDT24uyqqqKlpYVtmSDMRGImEjORrJBJj6LivpfdepEeNyoZ//v1ucct0lbIJFRGZRJyoc7Ly8OSJUsiMZaQqKqK6upqLqIgzERiJhIzkeI9E1XVsPLvVSjedQAAMCrZif/9+lxMdB3/vtLxnsmpMCqTkAq1x+MZdKu7u7sbHR0d/f4A0Hv7gUBgwG1FUfpt9wVy7LbdbsdVV10FTdP0/X6/X/98W9+2pmliG0C/bVVV+233nXp/vO1AINBvO1xzCp7HqczJ4XBg4cKFcDqdcTOnoR4nALjqqqtgs9niZk5DPU5OpxOXXXYZ7HZ73MxpqMdJ0zRceeWVcDgccTOnvm1VVfHohg/xemUTACDRacfzX5uDc8aOOOGcnE4nrrjiCvSJpTkZtfYA4PLLL4fT6QzLnAYrpEL92muvYdGiRYN67KpVq5Camqr/ycjIAABUV1cDAGpqalBTUwMAqKqqQm1t783JKysr0dDQAAAoKytDY2MjAKCkpATNzc0AgOLiYrS0tKCpqQlFRUX6SW0FBQXwer0AgPz8fPh8vn53O/H5fMjPzwcAeL1eFBQUAOh9AlJUVAQAaG1tRXFxMQCgubkZJSUlAIDGxkaUlZUBABoaGlBZWQkAqK2tRVVVVVjm1NraCgCnPKeOjg5s3LgRqqrGzZyGepzcbjeampqwa9euuJnTUI+TqqrYsmUL9u3bFzdzCsdxamxsRGdnZ1zNSVEU/H7zx/jTtj0AALsNuOccFXMnp590TqqqoqqqKibnZNTac7vd2LFjB1RVDcucBmvQJ5MVFhZi9uzZ+ivqKVOmoKKi4rivsLu7u9Hd3a1/3dHRgYyMDLS1tSEtLU1/huJwOPptK4oCm82mb9vtdtjtdrGtqipKS0sxd+5cJCYmwm63w+/363c16dsGoD877NtOSEjQ74KSkJAAVVURCAT07b5XHcfbDgQC0DRN3x5oHqcyp75tv98Ph8MR8pz8fj9KSkqwYMEC2O32uJjTUI+ToijYvn07srOz4XQ642JOQz1Oqqpi27ZtmDdvHhITE+NiTkM9Tj6fD2VlZZg/fz4AxMWcFEXBS2V78fM3Pr/q2K9vnoalWRMGNScA2LZtG7Kzs5GcnBwzczJy7XV3d6O0tBQLFiwAgCHNqbOzEy6Xa1Ank4VUqOvr6/WvV6xYgYcffhjLli1DVlbWSb+fZ30TEUVPXsVe/Cj3ff3r/7j2fCy/bIqBI6JgodTEU74ymc1mQ11d3aDP/g53oVZVFY2NjcjIyNDfa7M6ZiIxE4mZSPGWycbqZtz/shvq0X/dH7zqbPzwmvNC+hnxlkk4hDOTiH48y+PxYM2aNQCA1atXw+12n9ooh0hVVTQ1NektGmImA2EmEjOR4imT4l0H8OArlXqRvmf+WfjB4nND/jnxlEm4GJUJr/VNRBQn3vukDXf9aTt8/t5CckvWGfjNkumw23n97lhjiWt9BwIB7N69m5e3C8JMJGYiMRMpHjKpbjqE//fncr1If3HqOKy+5aJTLtLxkEm4GZWJaQu1pmlob2/nvVKDMBOJmUjMRDJ7JrtbDuNrL5TBe/QmGwvPOQ2/v32GuH53KMyeSSQYlQlb30REJvbpwU4sy3kXzYd6P5c768w0/PUbczE80WnwyOhELNP63rlzJ9syQZiJxEwkZiKZNZO97Z24/blSvUhfOH4UXrhnTliKtFkziSSjMjFtoQaArq4uo4cQc5iJxEwkZiKZLZN9ni7c/lwpmjy94z5n7Ej85RtzkTosIWy/w2yZRIMRmbD1TURkMp8d8uG2nHfxycFOAEDmmBF4dfklGJuSbPDIaLAs0/qurq5mWyYIM5GYicRMJDNl0uL14Y7nS/Uifdbo4Xjl3vAXaTNlEi1GZWLaQk1EZDWth7tx53PbUX/gCAAgI30Y/nbvJTh9FF9JxzO2vomITKDtSA/ueK4UOz/rvQPTRNcwvLr8EmSkDzd4ZHQqLNP6rqysZFsmCDORmInETKRYz6TtSA/uen67XqTHpybjlXsjW6RjPRMjGJWJqT9oN2zYMKOHEHOYicRMJGYixWomBw93486gIj02JQl/u/cSTBod+VfSsZqJkYzIhK1vIqIYdcDbjTufL8Wu/YcB9BbpV5ZfgiljRho8MhoqS7S+FUVBeXk5FEUxeigxg5lIzERiJlIsZtLS0fsRrL4iPT41GetWzItakY7FTIxmVCambX3bbDakpaXBZuNdYfowE4mZSMxEirVMmg914Y7ntqOhtffs7omuYXglSu3uPrGWSSwwKhO2vomIYkiTpwu355Ti07bez0mfkTYs4ieOUfRZpvVdUlLCtkwQZiIxE4mZSLGSSWNbJ5atfVcv0meOHo51K+YZUqRjJZNYYlQmpm192+12TJw4EXa7aZ9rhB0zkZiJxEykWMik/sBh3PX8duw7eoONyaeNwN/uzcb4VGPOvI6FTGKNUZmw9U1EZLCP9nXg7he2o/VwDwBgypgRvOJYnLNM67u4uJhtmSDMRGImEjORjMzE/Wk7bst5Vy/S549LwavL5xlepLlOJKMyMXXre8qUKWzLBGEmEjORmIlkVCbbdrfi3r+8h86e3itdzZzkwov3zEXq8PDdqvJUcZ1IRmXC1jcRkQE2f7Qf3/6bGz2KCgCYP2U0nrt7NkYkmfb1E4XAMq3voqIitmWCMBOJmUjMRIp2Jut3NOFbL1XoRXrRBWPxwj1zYqpIc51IRmUSO6siRHa7HdOmTWNbJggzkZiJxEykaGby8vY9+M9/VqOvl3njjAl4fOnFSHDE1vHgOpGMyoStbyKiKNA0DU/+azd+V7hL33f73En41U3T4LDz6l9WY4nWt9/vx6ZNm+D3+40eSsxgJhIzkZiJFOlMAqqG//xndb8iveKyTPz65tgt0lwnklGZmPYVtaqq8Hg8cLlcbM0cxUwkZiIxEymSmfj8AXzv1R3Y+OFn+r5Hrr0A916WGdbfE25cJ1I4MwmlJpq2UBMRxbpDXX4s/8t72N7QBgBw2m34zdLpuHnmGQaPjIxmmdb3hg0b2JYJwkwkZiIxEykSmezv8GHZ2nf1Ij080YHnvzbbNEWa60QyKhPTvqLWNA1erxcpKSm8DdtRzERiJhIzkcKdSf2Bw7j7hTLsbe8CAKSPSMQL98zBjAzXkH92tHCdSOHMJJSaaNqPZ9lsNrbQj8FMJGYiMRMpnJmUf9KGe//yHjydva+6JrqG4a/fmIvMMSPD8vOjhetEMioTU7e+169fz7ZMEGYiMROJmUjhyuT/3t+HO5/brhfp88el4B/3zzddkQa4TgZiVCambn37fD4kJyezLXMUM5GYicRMpKFmomkantlSh99s+ljft/Cc0/DMnVlISTb+ut2ngutECmcmlmh9A4DTaerhRwQzkZiJxEykU83EH1Dx039W49XyRn3fbXMy8MubpsXc1cZCxXUiGZGJaVeRoijIz8/ndWiDMBOJmUjMRDrVTLw+P77+Ynm/Iv3QF87Dqq9cZPoizXUiGZWJqVvfiqLA6XSyLXMUM5GYicRMpFPJZJ+nC19/sRw7P/MCABIddvxm6XTcOGNiJIcaNVwnUjgzsUzruy8w+hwzkZiJxEykUDKp2NOOFX+tQOvhbgCAa3gCcr46G3Mnp0dyiFHHdSIZkYlpezOKoqCgoIBtmSDMRGImEjORQsnk7xV7cXtOqV6kJ6UPx9/vmx+XRZrrpD+jMjFt65uIKJoCqoY1m3Zi7dv1+r5LMtPx7J2zkDYi0cCRkRlZ4hKimqaho6MDUXqeYQrMRGImEjORTpaJ19d7ze7gIn1n9iT89RvZcVukuU4kozIxbaFWFAVbt25lWyYIM5GYicRMpBNl8unBTtzybAn+tbMFAOCw2/DLG6fi0ZvNf2b3iXCdSEZlwtY3EdFxbNvdigf+5kb70SuNjUp24pk7Z+HSc04zeGRkdpZofauqira2NqiqavRQYgYzkZiJxEykYzNRVQ1PFdXiq3/arhfpzDEjsP6BSy1TpLlOJKMyCalQFxYWorCwEHl5eVi5ciXcbnekxnVSgUAA5eXlCAQCho0h1jATiZlIzEQKzuRQpx/f/Mt7eLxgF9Sj/cYrzhuD1+9fgMmnjTB2oFHEdSIZlUlIre+0tDT861//QlZWFnJycrB69WrU1dUN6nvZ+iaiWPfB3kO47+UK/faUNhvw/UXn4oErz4bdzot+UPhErPWdm5uLrKws/WuXy3VKAwwHVVXR0tLCtkwQZiIxE4mZSIFAADmFH+KWP5boRTpteAL+8vW5+M7V51iySHOdSEZlElKhXrRokb6dm5uLFStWhH1Ag6WqKqqrq7mIgjATiZlIzKS/rp4AHsqrwq8LP0GP0pvJjAwXNnxnIRaeM8bg0RmH60QyKpOQz/p2u91Yt24dRo8ejYcffvi4j+vu7kZ3d7f+dUdHBzIyMtDW1oa0tDS9x+9wOPptK4oCm82mb9vtdtjt9uNu+/1+OBwOfbvvGqx920D/S74pioKEhAT9mq0JCQlQVRWBQEDfVlUVTqfzuNuBQACapunbA82Dc+KcOKfYn9NeTzfue9mtX68bAL56yST89MtTkeCwmXJO8Xic4nFOnZ2dcLlckTnrOysrCz/5yU9QV1eHvLy84z5u1apVSE1N1f9kZGQAAKqrqwEANTU1qKmpAQBUVVWhtrYWAFBZWYmGhgYAQFlZGRobe+9KU1JSgubmZgBAcXExWlpa0NTUhKKiIng8HgBAQUEBvN7ev3D5+fnw+Xz97nbi8/mQn58PAPB6vSgoKAAAeDweFBUVAQBaW1tRXFwMAGhubkZJSQkAoLGxEWVlZQCAhoYGVFZWAgBqa2tRVVUVljm1trYCwCnPqaOjAxs3boSqqnEzp6EeJ7fbjaamJuzatStu5jTU46SqKrZs2YJ9+/bFzZxO5Tg99tJbuP6pd/QiPcxpx29uvgCzbfVIdNpNOadwHidVVVFVVRVXcxrqcXK73dixYwdUVQ3LnAbrlD9HXVhYiMWLF6O9vX3A96oj/YpaVVWUlpZi7ty5SExMtMyzsBPNye/3o6SkBAsWLIDdbo+LOQ31OCmKgu3btyM7OxtOpzMu5jTU46SqKrZt24Z58+YhMTExLuYUynGCzY7HC3ZhbfHnVxnLPG04vnk+sPQLlwKA6eYUieMEANu2bUN2djaSk5PjYk5DPU7d3d0oLS3FggULACBqr6gHXagLCwuxdOlStLe3AwDq6+sxZcoUVFRU9DvB7Hh41jcRGa2lw4cHXqlEWUObvu/L08fjsVumY2QS7xJF0RORs77T09P7nUzmdrvhcrkGVaQjQVVV7Nmzhyc6BGEmEjORrJrJ9vqDuO4P7+hF2mm34WfXX4g/3D4TwxPslszkRKy6Tk7EqEwGXaizsrKwbNky5OTkICcnB+vWrUNFRUUkx3ZCqqqiqamJiygIM5GYiWS1TDRNQ05xHe54fjsOeHvfjhs3KhnrVszDPQsmw2azWS6TwWAmklGZ8FrfRBS3Onx+PJT7PjZ9uF/fd+nZp+H3t83A6JFJBo6MrM4S1/oOBALYvXs3L28XhJlIzESySiY1zR244Q/v9CvSD151Nv7363NFkbZKJqFgJpJRmZi2UGuahvb2dt4rNQgzkZiJZIVM8ir24uZntuGTg50AgNRhCXjhntn44TXnwTHAVcaskEmomIlkVCZsfRNR3PD5A/j5Gx/hlbJP9X0XTUzFM3dmISN9uIEjI+rPMq3vnTt3si0ThJlIzESK10wa2zqx5I8l/Yr0HdmTkPuteSct0vGayVAwE8moTEz9wcGuri6jhxBzmInETKR4y6Ro5358f937ONTVe+/o5AQ7Hr3pItwy64xB/4x4yyQcmIlkRCZsfRORaQVUDb/bvAtP/Xu3vu+s0cPx7F2zcMF4/jtDscsyre/q6mq2ZYIwE4mZSPGSycHD3bj7he39ivQXpp6O/3vw0pCLdLxkEk7MRDIqE1O3vonImir2tOPbL7vxWUfvjQ0cdht+/MXz8c2FvRcwIYonbH0TkWlomoYXSz7BoxtqoKi9/3SNSUnCU7fPRHbmaINHRzR4lml9V1ZWsi0ThJlIzEQyayaHuxU88Eolfv7GR3qRnjs5HRu+c+mQi7RZM4kkZiIZlYmpW9/Dhg0zeggxh5lIzEQyWya1+7341ksVqDtwRN+34vJMPHTNeXA6wvN6w2yZRAMzkYzIhK1vIopp63c04Sf/+ACdPb2vYlKSnHj81ovxhanjDB4Z0amzROtbURSUl5dDURSjhxIzmInETCSzZNKjqPjv9dX47qs79CJ9/rgUvPHgpWEv0mbJJJqYiWRUJqZtfdtsNqSlpfEMzyDMRGImkhky2efpwv0vu7Gj0aPvWzLrDPzyxmkYlugI++8zQybRxkwkozJh65uIYkrxrgP47quVaO/svcpYotOOX9wwFcvmZLBoUNywTOu7pKSEbZkgzERiJlKsZqKqGn5fWIuv/blML9JnpA3DP+6bj9vmTopokY7VTIzETCSjMjFt69tut2PixImw2037XCPsmInETKRYzKT9SA++/9oObPn4gL7v6vPH4re3zkDq8ISI//5YzMRozEQyKhO2vonIUO83enD/y240eXpvdmC3AT+85jzcd/kU2Ae4dzRRPLBM67u4uJhtmSDMRGImUqxkomkaXirdg6V/fFcv0qNHJOKv38jGt688O6pFOlYyiSXMRDIqE1O3vqdMmcK2TBBmIjETKRYy6exR8Mjr1Xi9sknfN+vMNDx9RxbGpSZHfTyxkEmsYSaSUZmw9U1EUVV/4DDue8mNj/d79X3fuHQyfvyl85EQpquMEcU6y7S+i4qK2JYJwkwkZiIZmclbHzTjhqe26UV6RKIDT9+RhZ9++UJDizTXicRMJKMyMXXre9q0aWzLBGEmEjORjMjEH1Cx+q2deP6dBn3fuaePxLN3zcKUMSOjNo7j4TqRmIlkVCZsfRNRRO3v8OGBv7lR/km7vu+mGRPw669chOGJpn2tQDQklmh9+/1+bNq0CX6/3+ihxAxmIjETKZqZvFt3ENc9uVUv0gkOG3550zT8btmMmCrSXCcSM5GMysS0r6hVVYXH44HL5WJr5ihmIjETKRqZqKqGPxbX4fFNH+PoraMx0TUMT9+ZhRkZroj8zqHgOpGYiRTOTEKpiaYt1EQUmw51+fHD195HYc1+fd9l547BE8tmIH1EooEjI4odlml9b9iwgW2ZIMxEYiZSJDP5cN8hXP+Hd/QibbMB31t0Dv58z5yYLtJcJxIzkYzKxLSvqDVNg9frRUpKCu+ocxQzkZiJFKlM1pV/ip+u/xA9igoAcA1PwO9vm4nLzx0Ttt8RKVwnEjORwplJKDUxds7mCJHNZmML/RjMRGImUrgz8fkD+K/11Xjtvb36voszXHjmzixMdA0L2++JJK4TiZlIRmVi6tb3+vXr2ZYJwkwkZiKFM5M9B4/gK8+U9CvSX73kTLy24hLTFGmA62QgzEQyKhNTt759Ph+Sk5PZljmKmUjMRApXJgUffoYf5r4Pr6/3Kk3DEhx47JaLcOOMieEaatRwnUjMRApnJpZofQOA02nq4UcEM5GYiTSUTJSAiscLduGPb9fp+zLHjMAf75qFc09PCcfwDMF1IjETyYhMTNv6VhQF+fn5vA5tEGYiMRNpKJkc8Hbjrj9t71ekr7toPP7vgUtNXaS5TiRmIhmVialb34qiwOl0si1zFDORmIl0qpmUf9KGb7/sRou3GwDgtNvwk2svwNcXnGX6bLlOJGYihTMTy7S++wKjzzETiZlIoWSiaRr+9E4DVr21E4Gjlxk7fVQSnr4jC7PPSo/kMKOK60RiJpIRmZi69V1QUMC2TBBmIjETKZRMvD4/7n/ZjV9tqNGL9Pwpo7HhOwvjrkhznfTHTCSjMjFt65uIImvnZx247yU3GlqP6Pu+feUU/GDxeXDY2QolGgpLXEJU0zR0dHQgSs8zTIGZSMxEGkwm/3DvxU1Pb9OL9KhkJ56/ezYe+sL5cVmkuU4kZiIZlYlpC7WiKNi6dSvbMkGYicRMpBNl0q0E8MjrH+AHr70Pn7/3UqBTJ4zCmw8uxKILT4/2UKOG60RiJpJRmbD1TUQAgMa2Tnz7b25U7T2k77ttTgZ+dsNUJCc4DBwZUfyxROtbVVW0tbVBVVWjhxIzmInETKSBMvn3xy24/ql39CKd5LRjzZLpeOyW6ZYo0lwnEjORjMokpELtdruxZs0arFmzBkuXLoXH44nQsE4uEAigvLwcgUDAsDHEGmYiMRMpOJOAquG3BR/j6y+Ww9PZe/3iM0cPxz/un49bZ2cYPNLo4TqRmIlkVCYhtb7XrFmDhx9+WN9et24dKioqBvW9bH0TxZa2Iz347quV2Frbqu9bfOHpeHzpxUgdlmDgyIjiX0Ra3263G6tWrdK/XrJkCdxuN+rr6099pEOgqipaWlrYlgnCTCRmIqmqin/tqMd1T27Vi7TdBvz4S+cj56uzLFmkuU4kZiIZlcmgC3VWVhaee+45/eu+tnd6ujEXPVBVFdXV1VxEQZiJxEz60zQNL5Y0YPm6GjQf8gEAThuZhJe/eQm+dfkUy14qkutEYiaSUZmc8lnfK1euhNvtxubNmwf8/93d3eju7ta/7ujoQEZGBtra2pCWlqb3+B0OR79tRVFgs9n0bbvdDrvdftxtv98Ph8Ohb/ddg7VvG+h/yTdFUZCQkKBfszUhIQGqqiIQCOjbqqrC6XQedzsQCEDTNH17oHlwTpxTrM3p0BEfHln/Ed6satb/Xs49Kx1PLJuOcanDTDmneDxOnJM15tTZ2QmXyxW5s749Hg/y8vKQm5t73MesWrUKqamp+p+MjN4TU6qrqwEANTU1qKmpAQBUVVWhtrYWAFBZWYmGhgYAQFlZGRobGwEAJSUlaG7u/QemuLgYLS0taGpqQlFRkf7qvqCgAF6vFwCQn58Pn8/X724nPp8P+fn5AACv14uCggJ9PkVFRQCA1tZWFBcXAwCam5tRUlICAGhsbERZWRkAoKGhAZWVlQCA2tpaVFVVhWVOra29bchTnVNHRwc2btwIVVXjZk5DPU5utxtNTU3YtWtX3MzpVI7T7hYvrv3dv/sV6dtnjsHL92ZjZ+V2U84p3MepsbERnZ2dcTWnoRwnVVVRVVUVV3Ma6nFyu93YsWMHVFUNy5wG65ReUa9YsQIrV65EZmbmcR8T6VfUqqqitLQUc+fORWJiomWehZ1oTn6/HyUlJViwYAHsdntczGmox0lRFGzfvh3Z2dlwOp1xMadQj9OGDz7DT16vRmdP7/4RSQ58/cIEPHjzQiQmJppyTuE+Tj6fD2VlZZg/fz4AxMWchnqcAGDbtm3Izs5GcnJyXMxpqMepu7sbpaWlWLBgAQBE7RV1yIV6zZo1WLJkCTIzM/VnCi6X66Tfx7O+iaKrR1Hx6/wavFjyib7v/HEpeObOLGSOGWncwIgochc8ycvLQ1ZWll6kX3vttUEV6UhQVRV79uzhiQ5BmIlk1UyaD3Xhtpx3+xXpr2RNxOv3L8BZo4dbMpMTseo6ORFmIhmVyaALdX19PZYuXYrFixfDZrMhLS0NK1eujOTYTkhVVTQ1NXERBWEmkhUzeae2Fdc9+Q7cn3oAAIkOO35980X4n6UXY1iiw5KZnAwzkZiJZFQmvNY3UZxQVQ3PbNmN/9m8C31/qye6huHZu7Iw/QyXoWMjov4sca3vQCCA3bt38/J2QZiJZJVMPJ09+OZf3sPjBZ8X6SvOG4MN37lUFGmrZBIKZiIxE8moTExbqDVNQ3t7O++VGoSZSFbI5IO9h/DlP7yDop0tAACbDfjh4nPxwtfmwDU8UTzeCpmEiplIzEQyKhO2volMStM0vFLWiJ/934foCfS+Z5Y+IhG/v20GFp4zxuDREdGJWKb1vXPnTrZlgjATKV4z6eoJ4Ee5VfiP1z/Qi/TMSS68+eClJy3S8ZrJUDATiZlIRmXijOpvC7Ouri6jhxBzmIkUb5k0tB7BfS9VYOdnXn3fPfPPwn9cewESnYN77h1vmYQDM5GYiWREJmx9E5nIxurP8FDu+/B2KwCA4YkOPHbLdNxw8QSDR0ZEobBM67u6upptmSDMRIqXTJRA71XGvvVShV6kzx47Ev/3wIKQi3S8ZBJOzERiJpJRmZi69U1kBS0dPjzwSiXKGtr0fddfPAGPfeUijEjiX2GieMfWN1EMK60/iAf+VonWw703uElw2PDItRfga/PPsuy9o4nigWVa35WVlWzLBGEmklkz0TQNa9+uw53Pb9eL9PjUZKxbMQ/3LJg8pCJt1kwiiZlIzEQyKhNT982GDRtm9BBiDjORzJZJh8+PH732Pgo+2q/vu/Ts0/D722Zg9MiksPwOs2USDcxEYiaSEZmw9U0UQz7a14H7X67AJwc79X3fuepsfHfRuXDY2eomiheWaH0rioLy8nIoimL0UGIGM5HMlEnue424+ZltepFOHZaAP98zBz+45rywFmkzZRItzERiJpJRmZi29d13q02eUPM5ZiKZIROfP4Cfv/EhXilr1PdNPyMVT9+RhYz04WH/fWbIJNqYicRMJKMyYeubyECNbZ247+UKVDd16PvuzJ6E/7r+QiQ5HQaOjIgiyTKt75KSErZlgjATKZYzKdq5H9c9uVUv0skJdvz21ovx6M0XRbRIx3ImRmEmEjORjMrEtK1vu92OiRMnwm437XONsGMmUixmElA1/Hbzx3j633X6vsmnjcCzd2Xh/HGR7zbFYiZGYyYSM5GMyoStb6Ioaj3cje++Woltuw/q+744dRx+s3Q6UpITDBwZEUWTZVrfxcXFbMsEYSZSLGVSsacNX37yHb1IO+w2/Od1F+DZu7KiWqRjKZNYwUwkZiIZlYmpW99TpkxhWyYIM5FiIRNN0/DnbZ/g1/k1UNTeBtbYlCQ8dUcW5k5Oj/p4YiGTWMNMJGYiGZUJW99EEXS4W8HKv1dhQ1Wzvu+SzHQ8eftMjE1JNnBkRGQky7S+i4qK2JYJwkwkIzPZtd+LG556p1+R/tblU/DSN7INLdJcJxIzkZiJZFQmpm59T5s2jW2ZIMxEMiqT9Tua8OO/f4Auf+/F+1OSnfjtrTOw+MLTozqOgXCdSMxEYiaSUZmw9U0URt1KAL96swZ/Ld2j77tg/Cj88a4snDl6hIEjI6JYYonWt9/vx6ZNm+D3+40eSsxgJlI0M2nydOHWtaX9ivSts8/A6/fPj6kizXUiMROJmUhGZWLaV9SqqsLj8cDlcrE1cxQzkaKVydu7DuB7r1aivbP3L3Ci045f3jgVy+ZMitjvPFVcJxIzkZiJFM5MQqmJpi3URLFAVTU8WVSL3/+rFn1/kyalD8czd2Zh2sRUYwdHRDHLMq3vDRs2sC0ThJlIkcyk7UgP7nmxHE8Ufl6kF10wFm88cGlMF2muE4mZSMxEMioT076i1jQNXq8XKSkpvA3bUcxEilQmOxo9+PbLbjR5ugAAdhvwoy+ch29dNgX2MN47OhK4TiRmIjETKZyZhFITTfvxLJvNxhb6MZiJFO5MNE3DS6V78Is3P4I/0Psc97SRiXjy9pmYP+W0sP2eSOI6kZiJxEwkozIxdet7/fr1bMsEYSZSODPp7FHw/XU78NP1H+pFevaZaXjzwYWmKdIA18lAmInETCSjMjF169vn8yE5OZltmaOYiRSuTOoOHMZ9L1Vg1/7D+r5vXDoZP/7S+UhwmOv5LteJxEwkZiKFMxNLtL4BwOk09fAjgplIQ80k/4NmPJT7Po709F5lbGSSE2uWTMe1F40Px/AMwXUiMROJmUhGZGKulwJBFEVBfn4+r0MbhJlIQ8nEH1Dxizc+wv0vu/Uife7pI7H+gQWmLtJcJxIzkZiJZFQmpm59K4oCp9PJtsxRzEQ61Uw+O+TDA39z47097fq+m2dOxKM3T8PwRHO/yuA6kZiJxEykcGZimdZ3X2D0OWYihZpJye5WfOfVSrQe7gEAJDrs+On1F+Ku7Elx8w8W14nETCRmIhmRialb3wUFBWzLBGEmUiiZqKqGp/+9G3f9abtepCe6hiH3W/Pw1UvOjKsizXXSHzORmIlkVCambX0ThdOhTj9+8NoO/Gtni77v8nPH4IllM5A2ItHAkRFRPLLEJUQ1TUNHRwei9DzDFJiJNJhMqpsO4ctPbdWLtM0GfH/RufjzPXPiskhznUjMRGImklGZmLZQK4qCrVu3si0ThJlIJ8tkXfmn+MqzJWhs670UaNrwBLz4/+biu4vOiflLgZ4qrhOJmUjMRDIqE7a+yZJ8/gB++s9q5Fbs1fddnOHCM3dmYaJrmIEjIyIrsETrW1VVtLW1QVVVo4cSM5iJNFAmn7Qewc3PlPQr0nfPOxOvrbjEEkWa60RiJhIzkYzKJKRC7Xa7MWvWrEiNJSSBQADl5eUIBAJGDyVmMBPp2EwKPvwM1z/1DmqaOwAAwxIc+P1tM/CLG6chyekwcqhRw3UiMROJmUhGZTLo1ndeXh4yMzMxa9asU3ojna1vMpISUPGbgo+x9u16fV/mmBH4412zcO7pKQaOjIisKCKt7yVLliArK2vIgwsXVVXR0tLCtkwQZiKpqoqPGppw1/Pb+xXp66aPx/89cKklizTXicRMJGYiGZWJqd+jrq6u5iIKwkyk7fUHcfuLO1Da0AYAcNpt+K8vX4inbp+JkUnWvOIS14nETCRmIhmVSchnfdtstkG1vru7u9Hd3a1/3dHRgYyMDLS1tSEtLU3v8Tscjn7biqLAZrPp23a7HXa7/bjbfr8fDodD3+67BmvfNtD/km+KoiAhIUG/ZmtCQgJUVUUgENC3VVWF0+k87nYgEICmafr2QPPgnIydk93uwB/f3o3/2VyLgNq7Xk9PScIzd2VhxhmpppxTPB4nzolzsuqcOjs74XK5jD3re9WqVUhNTdX/ZGRkAACqq6sBADU1NaipqQEAVFVVoba2FgBQWVmJhoYGAEBZWRkaGxsBACUlJWhubgYAFBcXo6WlBU1NTSgqKoLH4wEAFBQUwOv1AgDy8/Ph8/n63e3E5/MhPz8fAOD1elFQUAAA8Hg8KCoqAgC0traiuLgYANDc3IySkhIAQGNjI8rKygAADQ0NqKysBADU1taiqqoqLHNqbW0FgFOeU0dHBzZu3AhVVeNmTqdynAq3luIb/1uONZt26UX64nHJeOwqF2admW7KOYXzOKmqii1btmDfvn1xM6dwHKfGxkZ0dnbG1ZyGcpxUVUVVVVVczWmox8ntdmPHjh1QVTUscxos076iVlUVpaWlmDt3LhITEy3zLOxEc/L7/SgpKcGCBQtgt9vjYk6hHqeyhoP4zis78FmH7+h6Ba6fkojH7lyIpMQEU84p3MdJVVVs27YN8+bNQ2JiYlzMaajHyefzoaysDPPnzweAuJjTUI8TAGzbtg3Z2dlITk6OizkN9Th1d3ejtLQUCxYsAICovaKOWKE+Fs/6pkhSVQ05W+vxm00f66+iR49IxBO3zcDCc8YYPDoiov4ifsGTvpfyRlJVFXv27OGJDkGsmkn7kR588y/v4bG3dupFOntyOvK/uxALpoy2ZCYnYtV1ciLMRGImklGZDLpQFxYWYuXKlQB633/Oy8uL2KAGQ1VVNDU1cREFsWIm79YdxLVPbkVR0A01HrzqbLz8zWycPirZkpmcDDORmInETCSjMuG1vsmUehQVv928C2uL69C3gkePSMTvls3AZeey1U1Esc0S1/oOBALYvXs3L28XxCqZ1B84jFueLcEf3/68SM+fMhr5310oirRVMgkFM5GYicRMJKMyMW2h1jQN7e3tvFdqkHjPRNM0vFr2Ka578h180HQIAJDgsOEnXzofL32jt9U90PfEcyangplIzERiJpJRmbD1TabQfqQHP/nHB9j44Wf6vswxI/DkbTMxbWKqgSMjIgqdZVrfO3fuZFsmSLxmUrRzP77wRHG/In1H9iS8+eClJy3S8ZrJUDATiZlIzEQyKhNTX+y4q6vL6CHEnHjKpMPnxy/f+KjffaPThidg9S3Tcc3UcYP+OfGUSbgwE4mZSMxEMiITtr4pJhXvOoCVf69C86HPL7N3xXljsPqW6QO+F01EZCaWaX1XV1ezLRMkHjI53K3gJ//4AHe/UKYX6ZFJTqy5ZTr+fM+ckIt0PGQSbsxEYiYSM5GMysTUrW+KL9t2t+LhvCo0eT5vLV169mlYvWQ6JrqGGTgyIiLjsPVNhms/0oNH82uQF/Re9PBEBx657gLcMXcSbDabgaMjIgo/y7S+Kysr2ZYJYrZMNE3D+h1NWPTbt/sV6ezJ6dj0vctwZ/aZQy7SZsskGpiJxEwkZiIZlYmpW9/DhrEdeiyzZNLY1on//Gc13t51QN+XkuTEj689H7fPmQS7PXyvos2SSTQxE4mZSMxEMiITtr4pqpSAihdLPsH/FOxCl//zZ6VfmjYOP7thKs/oJiJLsETrW1EUlJeXQ1EUo4cSM2I9k4o9bbjhqW341YYavUiPG5WMnK/OwrN3zYpIkY71TIzATCRmIjETyahMTNv6ttlsSEtL44lGQWI1kwPebqx6qwb/cDfp+2w24KuXnImHvnAeUpITIva7YzUTIzETiZlIzEQyKhO2vililICKv7y7B7/bvAve7s+fgV4wfhR+ddNUzDoz3cDREREZxzKt75KSErZlgsRSJtvrD+K6J9/BL978SC/So5Kd+MWNU/Hmg5dGrUjHUiaxgplIzERiJpJRmZi29W232zFx4kTY7aZ9rhF2sZBJY1snHtu4ExuqmvvtXzY7Aw9/8TyMHpkU1fHEQiaxhplIzERiJpJRmbD1TWFxqMuPp/+9Gy9u+wQ9AVXff9HEVPzixqmYOSnNwNEREcUWy7S+i4uL2ZYJYkQm/oCKF7c14Irf/Bs5xfV6kR49IhGP3jwN//z2AkOLNNeJxEwkZiIxE8moTEzd+p4yZQrbMkGimYmmadj80X489tZO1Lce0fcnOu345qWTcd8VUyJ6NvdgcZ1IzERiJhIzkYzKhK1vCllJXSse3/Qx3J96+u2/acYEPPTF83kDDSKik7BM67uoqIhtmSCRzqTy03bc+Xwp7nhue78iPfesdKz/9gI8cdvMmCvSXCcSM5GYicRMJKMyMXXre9q0aWzLBIlUJh/t68BvN3+MwpqWfvvPGTsSP/rCebjmwtNj9qIIXCcSM5GYicRMJKMyYeubjmvXfi+e/Fct3jzmo1aT0ofj+4vPwQ0XT4QjjDfPICKyCku0vv1+PzZt2gS/32/0UGJGuDKp2uvB8r+8h2t+V9yvSI8blYxf33wR/vXDy3HzzDNMUaS5TiRmIjETiZlIRmVi2lfUqqrC4/HA5XKxNXPUUDMpa2jDU//ejeKgW08CvR+1uv/Ks3Fn9iQkJzjCNdyo4DqRmInETCRmIoUzk1BqomkLNYWHpmnYWtuKp/69G2UNbf3+3+mjknDvwkzckT0JwxNNezoDEVHMsUzre8OGDWzLBAklE58/gNfKG/Gl32/F3S+U9SvSGenD8OjN01D88JX45sJMUxdprhOJmUjMRGImklGZmPYVtaZp8Hq9SElJidkzjqNtMJkc8HbjpdI9eHn7HrQe7un3/6aMGYFvX3k2brh4ApwO0z6H64frRGImEjORmIkUzkxCqYmmfalks9nYQj/GiTLZ+VkHXninAf+s3NfvWtwAMOvMNHzz0sm4Zuo4U5wgFgquE4mZSMxEYiaSUZmY9mWT3+/H+vXr2ZYJcmwmPn8A/3DvxZJnS/DFJ7bitff26kXaYbfhy9PH4/X75+Pv983Hly4aH3dFGuA6GQgzkZiJxEwkozIxdevb5/MhOTmZbZmj+jJp8ip4pawRf3fvhaez/4JKSXbijrmTcPf8s2LuKmKRwHUiMROJmUjMRApnJpZofQOA02nq4YdVV08Amz5sxitln2J7Q7v4/+eePhJ3Zp+JW2adgZFJ1sqN60RiJhIzkZiJZEQmpm19K4qC/Px8S1+HVlU1vFt3EA/nvY85jxbie+ve71ekE5123DxzIvK+NQ+bvncZvjb/LMsVaa4TiZlIzERiJpJRmZi69a0oCpxOp+XaMnUHDuN1dxNer2xCk6dL/P/Jp43AndmTcEvWGUgbkWjACGOHldfJ8TATiZlIzEQKZyaWaX33BWYFDa1H8FZ1M9764DN80HRI/P+RSU5ce9E4XDd1DBaeN45XEgpipXUyWMxEYiYSM5GMyMS0/5orioKCgoK4bsvsbum9KcYXnyjGlY9vwZqNH/cr0nYbcMV5Y/Dk7TNR/sgiPHrjhfDsKkcgEDBw1LHFCuskVMxEYiYSM5GMysS0re94pARUuD/1YMvHLdj80X7Uthwe8HHTJo7CTTMm4oYZEzA2JTnKoyQioqGyROs7Xq6ac8Dbjbd3HcC/P27B1l0H0OEb+JnajAwXrr1oHL44dTwmjR4+4GPiJZNwYiYSM5GYicRMJKMyMW2hVhQFW7duxTXXXIOEhASjhzNoR7oVvLenHaX1B7Ftdyuq9sr3mwHAZgNmn5mGL04bjy9OGzeozzybNZNIYiYSM5GYicRMJKMyYes7wo50K6jY04536w+itP4gPth7CIo6cOSjkp247NwxuPK8sbjs3DEYk5IU5dESEVE0WKL1HYv3Sg2oGuoOHMaORg92NHrwfqMHOz/zInCcwgwAF4wfhSvPG4Mrzx+LmRmuId0MIxYzMRozkZiJxEwkZiIZlUlIhbq+vh55eXnIzMxEfX09li9fDpfLFaGhnVggEEB5eTmuuuoqQxZRtxLA7pbD2LXfi53NXry/14MP9h7CkZ4Tn3F99tiRuCQzHZdkjsbcyelhPRnM6ExiETORmInETCRmIhmVSUit71mzZqGiogJAb9FeuXIlcnNzB/W9Zm19e31+7DnYiU/bOlG7/zA+3t+Bjz/z4pODnSd8pQz0vs98ztiRmHNWb2HOzgxvYSYiInOKSOu7vr6+39eZmZkoLCw8tRGGgaqqaG1txWmnnXbKz2yUgIqDR3rQ0tGNFq8PLd5uNLV3YU9bb2H+9OARtHcO/i4pE1KTcXGGCzMyXLg4w4VpE1OjesnOcGQSb5iJxEwkZiIxE8moTAZdRQoLC5Gent5vX3p6OtxuN7KyssI+sBPx+QOo3tuO99zvY+pF06HBDkVV4Q9oUAIaFFWFzx+A16egw6fgsE+B1+eH16fA2+1H2xE/Dnh9OHikB6dyKl2i046zx4zE+eNScO64FJx3egqmThiFsaOMfbWsqiqqq6tx2WWX8S/WUcxEYiYSM5GYiWRUJoMu1B6PZ8D9bW1tA+7v7u5Gd3e3/nVHRwcA6FfN6vuvw+Hot60oCmw2m75tt9tht9v7be9p9WLJ2u29P7j8vcFOISQ2GzBuVDIy0obhzNEjMCl9GM4aPRwXTnThjNQkOOw2OJ3O484j1DkFb/v9fjgcDn2777qyfdtA/8vYKYqChIQEOBwOLFy4EE6nE6qqIhAIICEhAaqqQlVVff9A24FAAJqmxdyc+q6t2zePUOcEAFdddRUCgQACgUBczGmox8npdPb7hyYe5jTU46RpGq688koAvfccjoc5heM4XXHFFVDV3nvYx8uchnKcAODyyy8Py5xC+cDVkJ8SHK+Ar1q1CqmpqfqfjIwMAEB1dTUAoKamBjU1NQCAqqoq1NbWAgAqKyvR0NAAACgrK0NjYyMAoKSkBM3Nzb2PqRhacU5w2DBuVBLOHAksuuB03HLx6fjyWTY8evM0/Pamc/DogiTU/OKLyLv7fDxwoYLfLL0YN5ydhNGdn2LKmJFo/HQPKisrAQC1tbWoqqoa8pyKi4vR2toKACgqKtJzLSgogNfrBQDk5+fD5/P1u4OLz+dDfn4+gN4nQxs3btTPTCwqKgIAtLa2ori4GADQ3NyMkpISAEBjYyPKysoAAA0NDTE5J6/Xi4KCAgA4pTm53W40NTVh165dcTOnoR4nVVWxZcsW7Nu3L27mFI7j1NjYiM7Ozria01COk6qqqKqqiqs5DfU4ud1u7NixA6qqhmVOgzXok8lycnKwdu1a/WQyAEhLS0Nubi4WLVokHj/QK+qMjAy0tbUhLS1tSM/CWjs68WTRbhzY/xnOmDgByQlOJDgdsENDYoIDCQ47HDYNruFJSEl2YniCHa4RvdvDnDakDk+GzYaoPQuL1jNLv9+PkpISLFiwAHa7PS7mNNRny4qiYPv27cjOzobT6YyLOQ31OKmqim3btmHevHlITEyMizkN9Tj5fD6UlZVh/vz5ABAXcxrqcQKAbdu2ITs7G8nJyXExp6Eep+7ubpSWlmLBggUAMKQ5dXZ2wuVyDepkskEX6vr6eixdulQU6oaGhkF9RMusZ30TERGFWyg1cdCt78zMzH5f19fXY/bs2YZ9jlpVVezZs0d/5kfMZCDMRGImEjORmIlkVCYhvUedm5uLlStXIi8vD2vXrh30Z6gjQVVVNDU1cREFYSYSM5GYicRMJGYiGZUJr/VNREQUZRFpfceaQCCA3bt362/0EzMZCDORmInETCRmIhmViWkLtaZpaG9vD+mzaPGOmUjMRGImEjORmIlkVCZsfRMREUWZZVrfO3fuZFsmCDORmInETCRmIjETyahMTFuoAaCrq8voIcQcZiIxE4mZSMxEYiaSEZmw9U1ERBRllml9V1dXsy0ThJlIzERiJhIzkZiJZFQmpi3UREREVsDWNxERUZSFUhMHfT/qoep7PtB3X+qh6mtBTJs2Tb9PqNUxE4mZSMxEYiYSM5HCmUlfLRzMa+WoFeq++3D23ZeaiIjI6rxeL1JTU0/4mKi1vlVVxb59+5CSkgKbzTbkn9d3f+vGxka20o9iJhIzkZiJxEwkZiKFMxNN0+D1ejFhwgTY7Sc+XSxqr6jtdjvOOOOMsP/cUaNGcREdg5lIzERiJhIzkZiJFK5MTvZKug/P+iYiIophLNREREQxzLSFOikpCf/93/+NpKQko4cSM5iJxEwkZiIxE4mZSEZlErWTyYiIiCh0pn1FTUREZAUs1ERERDEsah/POhX19fXIy8tDZmYm6uvrsXz5crhcriE/1sxCmafb7QYAZGVlob6+Hh6PB1lZWVEcbXS43W7ce++9qKioOOHjrLJGgMFnYpU1AvTOtbCwEABQXl6O5557zvL/noSSiVXWSl8eHo8H5eXlWLZs2XHnGbV1osWwrKwsfbuurk5bsmRJWB5rZqHMc/ny5RoADYC2aNEirb29PQojjK7c3FytoqJCG8xStsoaCSUTK6yRPqtXr+63HbwejmWVtRJKJlZZKy6XS6uoqNA0TdPWrl2rZWZmHvex0VonMVuo6+rqxKJxuVxDfqyZhTrPtWvXau3t7XH7FyrYyYqSVdZIsMEUaquskYqKin7Hu66uTgOg1dXVicdaZa2EkommWWetbN68Wd9eu3btcZ+8RHOdxOx71IWFhUhPT++3Lz09XW+/nOpjzexU5ulyueKyZRcqq6yRU2GFNZKVlYXnnntO/9rj8QCAWBOAddZKKJn0scJaWbRokb6dm5uLFStWDPi4aK6TmH2Pum/RHKutrW1IjzWzUOfp8XiQl5cHoPf9pxUrViAzMzNSw4tpVlkjobLSGlmyZIm+vW7dOixatGjAomOltTLYTABrrRW3241169Zh8eLFWL58+YCPieY6idlCfTzHC2eojzWz480z+MSGzMxMLF68GHV1ddEbmAlYZY0cjxXXSF/BOdmJdgN9X7waTCZWWitZWVnIzMzEypUrkZeX1+8JzclEYp3EbOvb5XKJZyZtbW0DPtsL5bFmFuo86+vr9e2+sxKD91mJVdZIqKy4RlauXInNmzcf99hbca2cLBPAemvF5XJh6dKlWLp06YDFN5rrJGYLdfD7BMFmz549pMeaWSjzdLvduPrqq8X+E73/FM+sskZCYcU1smbNGqxcuRKZmZnweDwD/gNstbUymEysslYKCwuRlpamf93X2h/oCUk010nMFupj3/uor6/H7Nmz9WcrbrdbD+9kj40XoWayevVq/bGFhYVYsmRJ3GUS7Nh/YKy4Ro51skystEby8vL0lqbH48Frr71m6X9PgNAyscJaSU9P71eA3W43XC6X/jlqo9ZJTF/ru76+HmvXrsWcOXNQXl6On/zkJ3oIS5cuxZw5c/Dwww+f9LHxJJRM+i5m4HK5UFdX1+8vWrwoLCzE5s2bsWbNGjz88MOYM2eO/n6SVddIKJlYYY0Avcd+ypQp/fa5XC60t7cDsOZaCTUTq6yVvLw8vaW9efNmrF69Wi/KRq2TmC7UREREVhezrW8iIiJioSYiIoppLNREREQxjIWaiIgohrFQExERxTAWaiIiohjGQk1ERBTDWKiJiIhiGAs1ERFRDGOhJiIiimEs1ERERDGMhZqIiCiG/X/8fXx1Q+CdUwAAAABJRU5ErkJggg==" }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 15 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:46.433782Z", "start_time": "2024-09-04T22:37:45.220490Z" } }, "cell_type": "code", "source": [ "for p_norm in [1, 2, np.inf]:\n", " osm.plot_kappa(Orlicz_function, x_1,\n", " k_min=k_min,\n", " k_max=k_max,\n", " dk=dk,\n", " p_norm=p_norm,\n", " show=True)" ], "id": "a193c536d745ff55", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" 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" 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 16 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:46.453598Z", "start_time": "2024-09-04T22:37:46.447676Z" } }, "cell_type": "code", "source": [ "def Orlicz_function(u):\n", " Phi = np.zeros(len(u))\n", " for i in range(len(u)):\n", " if u[i] <= 1:\n", " Phi[i] = 0\n", " elif u[i] <= 2:\n", " Phi[i] = u[i] - 1\n", " elif u[i] <= 3:\n", " Phi[i] = (u[i] - 1) ** 2\n", " else:\n", " Phi[i] = np.inf\n", " return Phi\n", "\n", "# the same function as above\n", "# def Orlicz_function(u):\n", "# return np.where(u <= 1, 0, np.where(u <= 2, u - 1, np.inf))" ], "id": "69956172e06d5007", "outputs": [], "execution_count": 17 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:46.717735Z", "start_time": "2024-09-04T22:37:46.505046Z" } }, "cell_type": "code", "source": "osm.plot_Phi(Orlicz_function, du=0.01, u_max=5)", "id": "1f759a8adcdca71c", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 18 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:47.966059Z", "start_time": "2024-09-04T22:37:46.750905Z" } }, "cell_type": "code", "source": [ "for p_norm in [1, 2, np.inf]:\n", " osm.plot_kappa(Orlicz_function, x_1,\n", " k_min=k_min,\n", " k_max=k_max,\n", " dk=dk,\n", " p_norm=p_norm,\n", " show=True)" ], "id": "b4d29ce3507fd03b", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" 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" 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 19 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:48.040328Z", "start_time": "2024-09-04T22:37:48.034332Z" } }, "cell_type": "code", "source": [ "def Orlicz_function(u):\n", " Phi = np.zeros(len(u))\n", " for i in range(len(u)):\n", " if u[i] <= 1:\n", " Phi[i] = 0\n", " else:\n", " Phi[i] = u[i] - 1\n", " return Phi" ], "id": "aa2200d974b8084a", "outputs": [], "execution_count": 20 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:48.354405Z", "start_time": "2024-09-04T22:37:48.101068Z" } }, "cell_type": "code", "source": "osm.plot_Phi(Orlicz_function, du=0.01, u_max=5)", "id": "15a30561dba1fe63", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 21 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:49.661290Z", "start_time": "2024-09-04T22:37:48.443415Z" } }, "cell_type": "code", "source": [ "for p_norm in [1, 2, np.inf]:\n", " osm.plot_kappa(Orlicz_function, x_1,\n", " k_min=k_min,\n", " k_max=k_max,\n", " dk=dk,\n", " p_norm=p_norm,\n", " show=True)" ], "id": "cb86715ff052b61d", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" 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" 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 22 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:51.012270Z", "start_time": "2024-09-04T22:37:49.689283Z" } }, "cell_type": "code", "source": [ "for p_norm in [1, 2, np.inf]:\n", " osm.plot_kappa(Orlicz_function, x_2,\n", " k_min=k_min,\n", " k_max=k_max,\n", " dk=dk,\n", " p_norm=p_norm,\n", " show=True)" ], "id": "7d90789d7a481414", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" 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" 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 23 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:52.743603Z", "start_time": "2024-09-04T22:37:51.032568Z" } }, "cell_type": "code", "source": [ "for p_norm in [1, 2, np.inf]:\n", " osm.plot_kappa(Orlicz_function, x_3,\n", " k_min=k_min,\n", " k_max=k_max,\n", " dk=dk,\n", " p_norm=p_norm,\n", " show=True)" ], "id": "571a4b411156ee11", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" 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LGZ9rSJoikVLf+cnlkigMcskOjuPyzn9MaINcskMvl4btUd+6dStjz6XRSqnvQsjlkigMcskOWZaxvb1NA6AYQC7ZoZdLwwbqhYWFzIGaphAtiFwuicIgl2xJXmGPKA1yyQ49XBo29f3SSy9lfI5GfRdGLpdEYZBLdnAch7a2Nr2rUROQS3bo5dKwPeobN25k7Lk0mKlHXQi5XBKFQS7ZIcsyYrEYpWsZQC7ZoZdLwwbqbNcCLWYTLKbEsHm6Rp0fuq7KDnLJlng8rncVaoZyuIxEIvB6vQiFQlm38Xq9zI+rN3p8Lg2b+v785z+f9fkGiwnCtkipbw3kc0loh1yyg+M4tLa26l2NmqBcLi9duqSuFJaJUCiE3t5e5sfVE70+l4bsUYuiiOvXr2edqlEZUEap7/zkc0loh1yyQ5ZlRKPRklOMWnp9tQ4rl7txuVw5F6gIBALq/Oo8z6tLgfr9foyMjDCtS6Uol8t8GDJQy7KM5eXlrLKU+b5pUY785HNJaIdcsoXFCU++Xt9uCtm2XBQS1LTWV++TR57n1XXB+/v7YbPZ4Pf7da1Tsejh0pCB2mKxoLe3FxZL5sy9MvKblrnMTz6XhHbIJTs4jsOePXtKnqYxX68vGZ/Ph3A4nPJYKBRS17MuB5FIBCMjI+A4Dm63G36/X3NQ211fj8eD7u7utO0KdZnpxKDQHrDP50tZ6tPlciEQCKCvrw8AEAwGDbn0JqvPZaEYMlCLooirV6/mT33HKQWZj3wuCe2QS3bIsoytra2KZSdCoRDsdnvK4h1KcCxn2jx57eozZ86gv79fU1DLVF+3251xtbBCXQ4MDKQNAsv0WC4WFhbS6jw7O4tjx44BSO1hG4lKfy4VDHvqn2u+VWV2MrpGrQ2aB5gd5JIdlfwyHBoawvj4eMpjxa5fPTIygsHBQc3bBwIBOByOlMA2OzurBvBMQS1TfaemptTgvptCXCr1SF51LNNjgUAg5SRGOUlIPslIhud5jI2NIRKJYHR0VHN9qg09Lm0ZMlCbzWYcPXo06/PKvdSCJEOUZJhNtGJMNvK5JLRDLtnBcRxaWloqcqxIJMJ0GcyHDx8WtP3U1FRaIM4V1LLVNxAI4OTJk2mPF+Py5MmT8Pv9KSccux9zuVwZe8VTU1PqEqO765ycDjcilfxcJmPIQC2KIq5cuYLnnnsO5qRFOBSUwWRAYnay5ob0bYgE+VwS2qknlz/9B9/Gg7XyTqUoy3LatcDH2hrxt7/4Bc37yNbrS2ZsbEzX24guXbqE06dPq3/nC2rZ6hsKheB0OsHzPEKhEHiex+DgoDpSuampCRzHged5BAIBLCwswOPxIBQKYXZ2FqdPn1Z7zk6nE16vNyVQZ3psN5FIJON18qGhIa06qprdLiuFIQN1PpIX5ojGRQrUBMGYB2sx3F2N6l2NvGTr9SWzsLCgXjvVg1AolFLHfEEtU32VIB2JRNTy0NBQxqAaCAQwMDCAQCAAt9uNYDAIr9cLj8eTkn7fPbAu22PJJF9zT2Z3D5soDEMGarPZjCNHjmR9vimpR03XqXOTzyWhnXpy+VhbY1UfN1dvZ/c1xkgkUvQI5EgkkhZYA4FAysCrvXv3Zu2FBgIB2Gy2lOPnC2qZ6hsIBAAkeufKtfVgMAgg4aK5uVnd9sSJEwASwV1JlS8sLOQ8JpFgt8tKYchALYoiLl++jBdeeCFjirEpqUe9RSO/c5LPJaGdenJZSPq5GJTRtc3NzUWlGAsdPFXs/dM2my0tsHq9Xs09yEzXp7Ucc3d9p6amcPr0afA8D4/Hk3Jde7dLJcifPXtWHZBWyslKPVHq57JYDHl7FoCcZzVN1kdfklEK1HnR4wyxViGX7Cj1i5Dn+YzXS3fT3d0NnudzblOuiVCyjZBWHleuISeTqb5KT1pJaQNIufdacenz+dSZ2pJHcI+NjaXVwW63a3qs3qj0PdSAQQO12WzGs88+m7XXQoFaO/lcEtohl+xQUoylfCk6HA5No7ldLhdmZ2fTHk9OYQ8NDTGdSUuZfSwUCiEYDKYF42PHjsFms6G7uzttANzu+u6+fau/vx9+v199XbJLh8OhBvrx8XH4fL60yUmARFp89wlEpsfqDRafy2IwZOpbEATMzc3h6NGjGWeBSg3UdI06F/lcEtohl+yQZRmbm5toaWkp+ktR6ZVGIhFcunQJdrs946hvh8ORsUetDEQrx0Aoh8OBwcHBjNeuPR4P3G437Ha7OivZ7OysWo/d9XU4HCn3VO+ub7JLrWn2s2fPwuPx5H2s3mDxuSwGQ/aoOY5DZ2dnVlHJ16ijtNRlTvK5JLRDLtlSamZiamoqJajlSm97PB5mPebkW60KRUlJK1Of2u129Pf3w+fzpaTfC61vIS6V4yRnIzI9Vq/okTEzZKA2m8145plnNKW+aRrR3ORzSWiHXLKD47iS71UNhUKYmpoCkOgd55ppzOVyIRwOM7kWXcqgLKfTCYfDoV5nDofD8Pv9GBgYSNlvIfUt1OXQ0FBarzzTY/UIi89lMRgyUAuCgJmZGQiCkPH5JguN+tZKPpeEdsglO2RZxvr6esnTNY6OjuLUqVMAcveoAVTNrFmjo6M4duwYeJ5HJBJBf39/xiCptb6Fusx0LArSCVh9LgvFkIHaZDLh0KFDMJkyVz95ghO6Rp2bfC4J7ZBLtlit1qJfy/O8OvDJ5XLB5/NpGrFcLbcoKctzLiws5FwURGt9S3FJpKKHS0OOeDGZTHjqqaeyPk+jvrWTzyWhHXLJDo7j0NhY/KQqymAtwJi9QS0zqmmlVJfEI/RyachTf0EQcOHChawpxuS5vqlHnZt8LgntkEt2yLKMtbU1XVYqqjXIJTv0cmnIQG0ymdDd3Z01xdi0a65vIjv5XBLaIZdsoV4gO8glO/RwadjU96FDh7I+30ypb83kc0loh1yyg+M4NDQ06F2NmoBcskMvl4Y89RcEAdPT09lHfVOg1kw+l4R2yCU7ZFnG6uoqpWsZQC7ZoZdLQwZqk8mEI0eO5Eh90zVqreRzSWiHXLKF5k1nB7lkhx4uDfmNYjKZsH//fm3XqGlmspzkc0loh1yyg+M4WK3WkiaWUCYDKWYSk1JeW22wcEkk0MulIb9R4vE43nzzTcTj8YzPU+pbO/lcEtohl+yQJAkrKyuQpOIyYjzPq7N7+Xy+ir22GinVJfEIvVwaMlCbzWb09vZqmkJ0i1LfOcnnktAOuWQHx3HYs2dPzfQClQlYuru74Xa7s27n8/nAcVzaj3LiAAAjIyPo6elBd3e3urqXgrLCVXImgOM4/PCHP0Rvby+6u7vR19eXMkub8ppMz3V2dqb8JNc9uU3JxyxHG4DEIivd3d3o7OxMez4UCqn7292GXPvM1oZsx1M+l+fOnctal7IgVwErKysyAHllZYXJ/qJxQX7K+w35Ke83ZPefzDDZJ0HUI1tbW/J7770nb21tlbwvQZTkmetL8l/PfSjPXF+SBVFiUMPMLCwsyOPj47Isy/Lw8HDFXpsNh8MhT01NybIsy6Ojo7LL5dL0uuXl5ZRtBwYG5MHBwYzbDgwMyP39/TIAeXl5OeU5m80mB4NBWZZleWpqSnY4HOr+nU6nuv3w8LDsdDpTXrd7X8rrkvc5Ojoq9/f3l60Nu/cxODiYVs9M7cu3z2xtyHW8fHVJJtf/TyFxz5CBent7W/7GN74hb29vZ3xekiT56V9NBOp/9Advs6xqzZHPJaGdWnTJKlB/8we35c/9u4B6Av2U9xvy5/5dQP7mD25n3F4URXl5eVkWRbGo41UiUC8sLMj9/f1yf3+/un0ySgAIBoMpgUOWswfA3TidTnlhYUE9ns1mU4Opw+FQj5HM7oB07do1+emnn05xabPZ1HLytuPj4yl1zVbP8fHxtOCU6QSBVRuCwaB6opO8zcLCgrywsJDRb7595mpDtuNdu3ZN/ru/+zv5zTffzFiX3bAK1IZMfVssFrz44otZ1/zlOA5NO7OT0ajv3ORzSWiHXGbmW/N38C//PIQ7K9GUx++uRPEv/zyEb83fSXsNx3Foa2srS+qb53n4fD54vV7wPA+/3w+v11tw+tLr9WJ4eBhnzpzB7OxsSso1Eong7Nmz6vF2Lw+ZbQ3sZHw+H44dO6a+NhQKIRKJwOFwIBgMwuv15kyjK3R3d8Nut+PMmTOIRCIYGRlJmZ5UmS+c53kMDQ2lpaLdbnfG1HCmudN3t4lVG5xOZ0qdleM4HA44HA7YbDZ1KdDd7ctFtjZkO153dze+8IUvqPPI765LuTBkoOY4Du3t7Tn/iZWFOWjUd260uCS0QS7TESUZv/W37yHTXafKY7/1t+9BlFK34DgOZrO5LC4DgQAGBgbQ19cHt9uN/v5++P1+hMNhzfsIhUIYHh5Wg8Tw8DBGR0fh9XrR09OD48ePw+PxAEgsVZlp8Yx8x/N6vSlBU9mPslznwMAAwuFw3oDPcRzOnTuHX/3VX8Xhw4cxOjqKM2fOpGzj8XjUgJ68KpfD4YDH48HCwgLcbjeOHz8OIDEXeSAQUI+tDLrb3SZWbdjN8PCwOpc7AJw7dw5erzdr+zKhtQ3Jx8v0udxdl3JgyEAdj8fx+uuv5xxdqyx1ubVNgToXWlwS2iCX6VxcDKf1pJORAdxZieLiYuqXoyRJiEQiZRlde+LECQCJYHvy5EkAwMLCQkE9ImXdaL/fD7/fr/YSx8fHEQwGEQwG1d6a3W7POIgp12pegUAAdrs9pU67/1YeyxfkwuEwjh49itnZWSwvL2N0dBQ9PT0p24yOjkKWZbjd7pTngsGgGlRPnDih9ohtNpu6n+Te5bFjx8rShmRGRkbUkyMgkb3o6elBMBjM2r5MaGnD7uPt/lzurku5MGSgtlgseOWVV3KmGJt2etQUqHOjxSWhDXKZzv217EE613blzE4ovduzZ8+qQaiYUbtutxs8zyMcDuPUqVMYGRlJeX5oaAhA5jS3EtizMT4+rtZNwel0pu0nHA7nPcFQRih3d3cDgJrSTR6FrTAwMIBQKJTxud09zYGBASwvL2NqakpNbydnDli2QcHj8aQFxkAgoKbA87VvN/nasPt4yZ/LTHUpF4YM1ADyfhm27ATqzbhIU+flgQILO8hlKvvbmphuVyrKtelQKJRy7XhsbKyg/fA8j9OnT2NwcBADAwMYHx+Hy+VSe6Q9PT1qb93pdAIA/H6/WgeXy6UGhEgkknaicOnSJTWwKjgcDhw7dkxN0fp8vpQAlQ2n04lgMKgGyFAohHA4jGPHjiEQCKTcK+7z+WCz2dTnktPWo6OjKfVOvh5/6tSptIDFsg1AImj29fWlpOaV9l26dClj+/KRqw3ZjpfvuXJgyEAtCAImJiZyzqncYk18YYqSjLhIgTobWlwS2iCX6XzmsB0HO5qQrV/MATjY0YTPHE5NA8tlmlPZ4XCgu7sbPM9jfHwcPp8PPp+v4C9ch8OhBmAFp9OZkvpOfn5qagqjo6Po7u7G1NQUxsfH1edOnTqVNrFKth73+Pg4xsfH0d3djfHxcZw7d059Trk+DgA9PT3qIK3Dhw/jT//0T3HixAl0d3fj1KlTOHfuHGw2m9r7VHrco6OjKc/t3btXvT9ZcaYwPDyM7u5uHD9+HKdPn07rPbNsg3JC4Xa7U+7NDoVC6iUHZdBbcvty7TNXG7IdLxgM4m/+5m9w5syZjHUpF5xcBd3N1dVVdHR0YGVlBe3t7Xm3l2UZgiDAYrFkTY39z//1Is7/6AEA4Pu/+Qo6WqxM61wraHFJaKMWXUajUSwuLuLw4cNoaiqu16uM+gaQMqhMMfTHX3Xi1SMHU14jJ24dVb8EC4XneYRCIfT392NkZKSgwT6lvLYaKdUl8YhCXeb6/ykk7hmyRw0gb69FSX0DwGaceji5oB4gO8hlOq8eOYg//qoTBzpSv6gOdDRlDNIEQaTC7IKaMj+uMoKvv7+/bPeVCYKAyclJvPbaa7BaM/eUm5MDNQ0oy4oWl4Q2yGV2Xj1yEH2fOICLi2HcX4tif1si3W02Ze6VKKlvut2tdMglO/RyySxQ+/3+lBSRx+PB6Ogoq92nYLVa8eUvfznnNsk9ahr5nR0tLgltkMvcmE0c/kH3Xk3bmkymjPcea8XhcKi3PxVz/bnY11YjpbokHqGXS2apb2UWnkqgZaBJs5V61Foo16CdeoRcskOWZYhiaXdsKF+oxXyxlvLaaoOFSyKBXi6ZBWq73Y6enh41BZ58AzlrBEHA22+/nfN6YHPDo2TB5jZdN8yGFpeENsglO2RZxtraGgUXBpBLdujlklmgVobtK0Pudw/VTyYWi2F1dTXlBwBEUVR/ZyoLggBRFGG1WvGlL31JXU5QEAR1philvDv1HY/HVblKWZbltDKAlLIkSSll5Us4W1kUxZSy1jZla8fucjweTymX2iaz2YwvfelLsFqtNdMmvd4njuPwEz/xE7BarTXTJkEQ1LpLkpSzLMtyWllpU7ayso/dZY7jYLPZwHFc1m1YlCvZpkqVd7dDcZm8ndHbpNf7ZDKZ0NHRoV6f1vrabN97WmEWqAOBgDrfrc/nU+e5zcTQ0BA6OjrUn66uLgDA/Pw8AODKlSu4cuUKAODy5cu4du0aAGBubg6Li4uQJAnvvPMObty4AQCYmZnBnTuJif0vXLiApaWl1FHf2yImJyextrYGAJiYmEA0Gk257zUajWJiYgIAsLa2hsnJSQCJewGnp6cBAEtLS7hw4QIA4M6dO5iZmQEA3Lx5ExcvXgQALC4uYm5uDgBw7do1XL58WVObAODixYu4efNm1jYBwPT0tDo5Aos23b9/H2+99RYkSaqZNun1Pp0/f179fNZKmy5duqR+saytramBfXV1VX1cSffLspxWBhJfpskn44oLQRDUcjwex/r6OgBge3sbGxsbEAQBsVgMm5ubABK3umxtbanlaDQxm9nW1pZa3tzcRCwWAwBsbGxge3sbALC+vq5+Ma6traknNJVuE4CKt0k5gaulNun1PsmyjM3NTbV9WtoUi8Xw4EHiVuHk773z589DK0zuo+Z5HqOjo+qsLjzPq3OvZhr5HYvF1AYBCdldXV0Ih8Po7OxU3xCz2ZxSFgQBHMdBkiScO3cOX/ziF9HY2AhBEGAymWAymdTyX4Zu4Vf8iS+q3/nKEfxsz0fU+1vj8bg6g5Ry36tStlqtkGVZLUuSpPbiJUmCJEmwWCxZy8r1C6WcqR2Z2qSUd7djdzkej8NsNqvlUtsUi8Xw1ltv4fjx4zCbzTXRJr3ep62tLZw/f15duKAW2rS+vo4PPvgADocDDQ0N6v2jSk8tuQw86g0rZZPJlNIb2V0GkNJrVsqynEgxKitoZdqGRTlTO8rVpkqVd7cDSAS61tZWmEymmmiTXu9T8udSy35isRh4nsfTTz+NlpaWlP+thw8fYt++fZruo2YSqJWp8ZLT3cpSY7tn78lEoROeaOGNy3fwv/1FYpKFX3vtWQy81J3nFQRB7IbFhCdGRlmAgiCKoaomPHE6nZidnU157OHDh5qCdDFIkoT79+/nXFlnd+qbyIwWl4Q2yCU7ZFlOubZfLMryjcXg8/k0L325e0GOaoKVS0I/l0wCtcPhQF9fH0ZGRtS5c3Ndoy4VSZIwPz+f8wuxyUr3UWtBi0tCG+SSLcp1wFJwu90ZOwyRSAQjIyOIRCIZl1gMhUIZl2TMxsDAQMoCFiwIhULo6+vLu7JXZ2dnyk/yXNaBQADPPPMMHnvsMbzyyitFrRJGpMLic1kozCY8cblc6gTv5cZiseDll1/OuU3KqO84BepsaHFJaINcskNZTrBUpqamMt4q6vP5sLCwAJ/Pp64tnczQ0FDKAhT5SF5RisWMjB6PB+FwWNNSjUBiIOHuFH0kEsHw8DAWFhYAJBanOH78OILBYMn1q1dYfS4LxZBzfUuShFu3blHqmwFaXBLaIJfskGUZ29vbJacYA4FAxuUOHz58CCARYHf3MvOtFZ2NkydPquN1MsHzPNxuN9xud8btkldfGh0dLehEIdvxvF6v6vL3fu/31OU9ieJg9bksFMMG6oWFhZxfiM00hagmtLgktEEu2ZJ8Z0ixhEIhOJ1O8DwPv9+vXkseHh5GT08PBgYG0uZ8GBsbQ29vb8pjPM+ra1kr+/J6vSlB3ul0YmpqKmtdvF4vhoeHcebMGczOzqKvry9lPeRSZndUlnhMTpU7nU41y6mMPgZQtjUY6gUWn8tCMWSgtlgseOmll9RbWzLRQjOTaUKLS0Ib5JIdHMept2YVixKkI5GIWk4Ohtnm8V5YWEgLZoFAAAMDA+jr64Pb7UZ/fz/8fn/aYLNsg89CoRCGh4fhcDhgs9nUOSeUtZKPHz9e9Lgeh8MBj8eDhYUFuN1u9fZABcVlLSzZqTcsPpfFYMhvFEmScPPmTXR1dan3Be4mOfW9EaMedTa0uCS0QS7ZoaQYlXu3i0G5vnvp0iW116zl+mymW7JOnDgBIBFwT548CQDqtV8tKAPalJS3y+WCw+FISW8XO9AruU0nTpyAx+NJaYMsy+okU8pcF0RxsPhcFoMhv020XAtstJhgNSdErseoR50Nuq7KDnLJlkKmWMzE1NQUTp8+DZ7nC+qtZrpurQS9s2fPqkG/0MDqdrvB8zzC4TBOnTqVdkvX0NBQQfvLRKYevcfjQWtrKwVpRpT6uSwGQ/aoLRYLPv/5z+fchuM47Gm0ILIZxwalvrOixSWhDXLJDo7j0NraWtI+Ll26pF4zVu6l9vv9OdchULbleV7tBSsjxE+ePJkyqntsbCwtfa4sj7kbnudx+vRpdZ8DAwMIhUJq8AaAM2fOaGqXcoJgs9kQCAQwNTWlBuHR0VG4XC71xMLj8eCVV17J22ZCGyw+l8VgyB61KIq4fv26Oh1iNlobE+ch61EK1NnQ6pLID7lkhyzLiEajRY+u5Xk+5XZR5ZqyMrBsZGQEXq83ZYCZgsvlSpnAyeFwqMF7fHxcnStid5BW7nvOhMPhSLuf2+l0Ynx8HMFgEMFgMOV55do1APT09KTcG33q1Cn4fD61rnv37kVPT09KHYFE6t/n88HtdqtTbnIclzK6nCiMUj+XxcJkCtFSKXQKUUEQMDc3h6NHj+YcuPPqf7yAq3fX0Ggx4Yf/9idYVrlm0OqSyE8tutRrClFl8YOWlhbm1wIDgQDsdjvOnj2L4eFh+Hw+2O32lF6n2+0u+PYor9cLj8dTdaOqy+my3ijUZVVNIVppLBYLent7834ZKj3qmCBhW6DrhpnQ6pLID7lkB8dx2LNnT1kCi8vlQiAQUHu/wWAwbfCYx+PJeU/0bpR0dLUFaaC8LusNvVwaMlCLooirV6/mT303PfrC3KABZRnR6pLID7lkhyzL6rKC5WB2dladCGV3mhxIBPNwOKx5wNjQ0FDVDtYqt8t6Qi+Xhj311zLf6p7GR81bjwno3NNQzioZFj3mrq1VyCU7yvllyPM8xsbGEIlEMDo6mnGbgYEBzYG6WoO0AgVpdujh0pCB2mw24+jRo3m3a9sVqIl0tLok8kMu2cFxHFpaWsqyb2WK0GwTniRTC0tcltNlvaGXS8Omvufn5zWP+gYo9Z0NrS6J/JBLdpQzxcjifmUjQalvdlDquwwkp77XKFATBIHqT1MTxG4MGajNZjOOHDmSd7u2pMFkdC91ZrS6JPJDLtnBcRyam5v1rkZNQC7ZoZdLw6a+5+bmKPXNAK0uifyQS3Yo96tSurZ0yCU79HJpyEANQNNZze5R30Rm6GybHeSSHXTfLzvIJTv0cGnY1Pezzz6bd7vk+6gpUGdGq0siP+SSHZSuZQe5ZAelvgtAEATMzs5CEHIH3+TUN12jzoxWl0R+yCU7ZFnGxsYGpWsZQC7ZoZdLQwZqjuPQ2dmZNwXRSqnvvGh1SeSHXLLFbDbn30gHil03Wk+q1aUR0cOlIQO12WzGM888k1cYBer8aHVJ5IdcsoPjODQ1NZV80uPxeNQlLlng8/kyrvmcid2rcukFK5eEfi4NGagFQcDMzExhqW8K1BnR6pLID7lkhyzLWF9fLznF6Ha705aXBBK94pGREUQiEXU96FyPA4llLO12u+aFNwYGBuD1ekuqvxaU5TWz9fQVl52dnSk/yUtnBgIBdHd3o7OzM+e+6h1Wn8tCMWSgNplMOHToEEym3NXfQ7dn5UWrSyI/5JItVqu15H1MTU1lXCPa5/NhYWEBPp8vJSBnexxIzGiWvBRmPpTpR3fvhyUejwdDQ0MIBAI5t1NcLi4uYnl5GcvLy+oynpFIBMPDw1hYWMDy8jKcTieOHz9etjobHRafy0Ix5DeKyWTCU089lfcLscFiQqMlsc0aDSbLiFaXRH7IJTs4jkNjY2PJKcZAIKCukpXMw4cPASSCaXLvMdvjyvzghXLy5Mm8y2XyPA+32w23251x21AolPW1o6OjedfNVlzmOn5yz394eBihUKisJxhGhdXnslAM+Y0iCAIuXLigKcWopL83tilQZ6IQl0RuyCU7ZFnG2tpaySnGUCgEp9MJnufh9/vV68bDw8Po6enBwMBASi852+NjY2Po7e1N2TfP8/D5fPB6ver+vV5vSoB3Op2YmprKWUev14vh4WGcOXMGs7Oz6OvrU4NkJBLB2bNnS3KguAQSlwK6u7tT0ttOpzNlmU/l2NW4trbesPpcFoohA7XJZEJ3d7emnotyLzXdnpWZQlwSuSGXbMnVC9SCEqQjkYhaTg562VbPyvT4wsJCWuAKBAIYGBhAX18f3G43+vv74ff70wab5Rp8FgqFMDw8DIfDAZvNhuHhYYyOjsLr9aKnpwfHjx+Hx+MppNkZaWxshMPhgMfjwcLCAtxud9b09vDwMAYHB0s+Zq1S6ueyGAw54YlyLVALSo+aBpNlphCXRG7IJTs4jkNDQ2nrxyvXbS9duqT2joPBYFH7ikQiaUtenjhxAkAi2J48eRJAIqAXgjLQTUl5u1wuOByOlHR2qQO7FJfJbT9x4gQ8Hk9au0ZGRtQTBiIdFp/LYjDkqb8gCJientaUYlQGlMVFGTGB5mDeTSEuidyQS3bIsozV1dWSUoxTU1M4ffo0eJ4vuVe6+5q18hgAnD17Vj0RKCaout1u8DyPcDiMU6dOpd3WVeqynJlcZurlezweCtJ5YPG5LAbD9qiPHDmiKcXYtmt2ssZWusc1mUJcErkhl2wpdarGS5cuqdeHlXup/X5/QSO3Fbq7u8HzvNoDVkaHnzx5EjzPq2nxsbGxtNS53W7Pul+e53H69Gl1vwMDAwiFQmrwBoAzZ84UXF/g0UlDR0cHZmZmMD09rZ4EjI6OwuVyqScbHo8HfX19RbmpN/SYQtSwgXr//v2atk29RUvE3tZy1cqYFOKSyA25ZAfHcSXdBsPzfMoAKeX6cfLAsocPH6K3txc8z+e9JutyuTA6OqoGMiUw8zyP8fFx+Hw+AOnXt5V7nLORacCW0+nMO5Jbwev1qin+np6elNeeOnUKvb29GBwcxKuvvorLly+jp6cHkUgkZbtAIACfz6e2QSEYDGa8B72eKfVzWfRx5SqYAHZ1dRUdHR1YWVlBe3t73u3j8Timp6fx8ssv55X2a3/1A/zFdz8AALzxv38Bz3+kg0mda4VCXBK5qUWX0WgUi4uLOHz4MJqamip2XEmSsLa2hra2NuYZikAgALvdjrNnz2J4eBg+nw92uz1vb9LtdmsOoAperxcej0fXEdTldFlvFOoy1/9PIXHPkO+a2WxGb2+vpqkad6e+iVQKcUnkhlyyg+M47Nmzpyz3q7pcLgQCAbWnGwwG0waKZcLj8eS9JzoZJfWs921O5XRZb+jl0pCB2mQywW63azqjSUl9073UaRTiksgNuWQHx3GwWCxl+0KcnZ1VJ0LZnSbPhsvlQjgc1jxgbGhoqCoGZpXbZT2hl0tDfqPE43G88cYbiMfjebdNnu+bZidLpxCXRG7IJTskSUIkEoEkSWXZP8/zGBsbw8jICEZHRzW/Ltu915mohiANlN9lPaGXS0MOJrNYLHjxxRdhseSvvjLhCUCBOhOFuCRyQy7ZwXEc2traytJzUaYDLSToJqMlTV5NlNNlvaGXS0N+o3Acp2nQGQDYmh8N6lnZop7ObgpxSeSGXLKD47iyXesv9b5ko1FOl/WGXi4Nm/p+/fXXNaUYbS2PZpGhQJ1OIS6J3JBLdpQzxTg8PFzw6G0jQ6lvdujl0pCB2mKx4JVXXtGUYuxI6lFHNrfLWS1DUohLIjfkkh1KdoLStaVDLtmhl0tDBmoAmr8MbS3JgZp6OpmgwMIOckkQBGsMGagFQcDExISmOZU76Bp1TgpxSeSmll1Wel4kveZUrkXIJTsKdcnKuSEDtcViwWuvvaap99JkNaPJmmgmBep0CnFJ5KYWXSozrG1ublb0uJSuZQe5ZEehLpX/m1JnKjTsN4ogCNrT380NuBuPUuo7C4W4JHJTay7NZjNsNhvu378PAGhpaanIF74sy5BlGRzHUYApEXLJDq0uZVnG5uYm7t+/D5vNVvJIcUN+owiCgMnJSbz22muazlQ6mq24uxpFZIsGk+2mUJdEdmrV5YEDBwBADdaVQJZlbG1tobm5mYJLiZBLdhTq0mazqf8/pWDIRTkK5cTo3+PiYmL91au/8yqarHRPIUEUiiiKdOsZQWjEarXm7EkXEvcM2aOWZVldwUTTWc2uAWUUqB9RqEsiO7Xu0mw2V2yyh1p3WUnIJTv0cmnIwWSCIODtt9/WPLo2+RYtGlCWSqEuieyQS3aQS3aQS3bo5bIuUt//buIKfBd4AMCY5x/gM4ftzI9BEARBEFqp+fWoJUlCOBzWPI0bzU6WnUJdEtkhl+wgl+wgl+zQy6UhA7UoipidnYUoipq2TwnUlPpOoVCXRHbIJTvIJTvIJTv0csk09R0IBMDzPBwOBwBoWowdKH/q+xuXb+Nf/cUcAODXX3sOp15yMD8GQRAEQWhFl9R3IBDA+Pg4BgYG4HA44PF4WO06DUmScP/+fc3pB1szraCVjUJdEtkhl+wgl+wgl+zQyyWzQO3xeDA8PAwAcDgcmJqaYrXrNCRJwvz8fHHXqGnSkxQKdUlkh1yyg1yyg1yyQy+XTFLfPM+jp6cHy8vLCIVCcDgcsNlsml9f7tT3zfAmXhx5CwDwUy8cxB/+nJP5MQiCIAhCKxVPfYdCIdjtdvj9fjgcDvh8Pvj9fha7zogkSbh165b2HjXdR52VQl0S2SGX7CCX7CCX7NDLJZNAHQ6HwfM8XC4XbDYbBgYG4Ha7s24fi8Wwurqa8gNAHUknimLGsiAIEEURkiTh+vXr6k3ngiCo4pLL8XgckiShrdECsykxi0xkM454PK5Orr67DCClLElSSlk5ZrayKIopZa1tytWOTG1SykpCpNg2CYKA69evQ5KkmmmTXu/T9va26rJW2qTX+7S9vY2FhQXE4/GaaZNe75MoilhYWEAsFquZNun1PimxR9lPqW3SCpNAraS6lXS38jsUCmXcfmhoCB0dHepPV1cXAGB+fh4AcOXKFVy5cgUAcPnyZVy7dg0AMDc3h8XFRVgsFlitVty5cwcAMDMzo5YvXLiApaUlAMD09DQikQg4jkOzKfHGRra2MTExgWg0mrJ+cDQaxcTEBABgbW0Nk5OTie0jEUxPTwMAlpaWcOHCBQDAnTt3MDMzAwC4efMmLl68CABYXFzE3FxihPm1a9dw+fJlTW0CgIsXL+LmzZua2gQAk5OTWFtbA4Ci2xSJRCCKIiwWS820Sa/3aWZmBs899xwsFkvNtEmv9ykUCuGll17CzZs3a6ZNer1PW1tbeOmllzA5OVkzbdLrfbJYLNi7d6/ajlLadP78eWiF+TVqdccch2AwCKcz/XpwLBZDLBZT/15dXUVXVxfC4TA6OzvVsxKz2ZxSFgRBXV7s/fffx5NPPgmLxQJBEGAymWAymVLK8XgcZrMZJpMJP/77b+H9h5tob7Ig+Osvq0sRJi9LKAgCrFYrZFlWy5IkQRRFtSxJEiwWS9ayKIqQZVktZ2pHpjYp5UztyNameDwOi8UCjuPUcqFtEgQBH3zwAZ5++mkAqIk26fU+bW9v4/bt23jyySchimJNtEmv90kQBNy5cwcf+chHwHFcTbRJr/fJZDLhww8/xIEDB9DQ0FATbdLrfeI4Djdu3MATTzwBq9VaUpsePnyIffv2VW5RDofDgWPHjiESicBms6n3UmcK0gDQ2NiIxsbGtMeVCf+TJ/5PLie/CXfv3sWTTz6Z8vjucvJSg7aWBuDhJlajAkxmizqhevI2SpnjOLWsSNVazlb3fG3SWs5UXy3lbG0CoLq0WCw10Sa93ieTyYTbt2+r/8S10CY936dbt27h0KFDah1qoU1a28GyTYIgqC7pe6+0NiknkEoWmFWb8sFswpNIJAKv14uenh4Eg0F4vV514pN8lHvUNwD8wp9exFs/fAAAuPQbLuxrTT9RIAiCIIhKoMsylzabDaOjo6x2lxNRFLG4uIjDhw9rXnZvb1Jgfri+TYF6h2JcEpkhl+wgl+wgl+zQy6Uh5/qWZRnLy8soJBmwLyVQx3JsWV8U45LIDLlkB7lkB7lkh14umfWoK4nFYkFvb29Br9nX+mga0QcUqFWKcUlkhlyyg1yyg1yyQy+XhuxRi6KIq1evFrSCyb5dqW8iQTEuicyQS3aQS3aQS3bo5dKQgRoAtra2Cto+OVAvUY86hUJdEtkhl+wgl+wgl+zQw6UhU99msxlHjx4t6DV7k1Lf1KN+RDEuicyQS3aQS3aQS3bo5dKQPWpRFDE/P1906pt61I8oxiWRGXLJDnLJDnLJDr1cGjJQF0NnixU79/pjaYN61ARBEIQxYDbhSSlUYsITAOj5nSk83NjGIVsz3vnVl8t2HIIgCILIRcWXuaw0oihibm6u4PSDcp364UaM7incoViXRDrkkh3kkh3kkh16uTRkoAaA5ubmgl+jXKeOxiVsbNOHVqEYl0RmyCU7yCU7yCU79HBp2FHfzz77bMGvSxlQthZDa6Mhm8+UYl0S6ZBLdpBLdpBLdujl0pA9akEQMDs7qy7qrZWUW7Q2aOQ3ULxLIh1yyQ5yyQ5yyQ69XBoyUHMch87OTnXJNq0k96gfrNHIb6B4l0Q65JId5JId5JIderk0ZO7XbDbjmWeeKfh1+6hHnUaxLol0yCU7yCU7yCU79HJpyB61IAiYmZkpOP2Qeo2aetRA8S6JdMglO8glO8glO/RyachAbTKZcOjQIZhMhVU/ZU1q6lEDKN4lkQ65ZAe5ZAe5ZIdeLg2Z+jaZTHjqqacKfl1y6pumEU1QrEsiHXLJDnLJDnLJDr1cGvIUSxAEXLhwoaTU9/1VCtRA8S6JdMglO8glO8glO/RyachAbTKZ0N3dXXD6oclqhn1Pold9ZyVajqoZjmJdEumQS3aQS3aQS3bo5dKQ71wp1wkOtDcBAO6tRiFJNI0oXb9iB7lkB7lkB7lkh14uDfnOCYKA6enpotIPBzsSgVqQZCzRgLKSXBKpkEt2kEt2kEt26OXSkIHaZDLhyJEjxfWodwI1ANyl9HdJLolUyCU7yCU7yCU79HJpyHfOZDJh//79JaW+AQrUQGkuiVTIJTvIJTvIJTv0cmnIdy4ej+PNN99EPB4v+LUpPepVCtSluCRSIZfsIJfsIJfs0MulIQO12WxGb28vzGZzwa892PFoiTIa+V2aSyIVcskOcskOcskOvVwadsITu91e1GvpGnUqpbgkUiGX7CCX7CCX7NDLpSF71PF4HG+88UbJqe87K1ssq2VISnFJpEIu2UEu2UEu2aGXS0MGaovFghdffBEWS+EJgdZGC9oaE6+jHnVpLolUyCU7yCU7yCU79HJpyEDNcRza29uLXhNU6VXfXY1Clut70pNSXRKPIJfsIJfsIJfs0MulIQN1PB7H66+/XnT6QQnU0biEla36TgeV6pJ4BLlkB7lkB7lkh14uObkKupSrq6vo6OjAysoK2tvb824vyzKi0SiampqKOrMZ9H8fY5c+BAB885dexHMH8x+zVinVJfEIcskOcskOcskOli4LiXuG7FEDKOkawYGkW7ToOnVpLolUyCU7yCU7yCU79HBpyEAtCAImJiaKnm/1YNLI7w8j9T3yu1SXxCPIJTvIJTvIJTv0cmnY1LcgCLBYLEWlH759bQlf/f++CwDwvOTA6deeK3gftUKpLolHkEt2kEt2kEt2sHRZF6nvUs5onrS3qOWby5ssqmNo6EybHeSSHeSSHeSSHXq4NGSgFgQBk5OTxae+bU0wmxJnQx+E6ztQl+qSeAS5ZAe5ZAe5ZIdeLg2Z+mbBF4an8eHyFtqbLLj8f3+pIsckCIIgCKAOUt+yLGN1dbWkyUqU9PdqVMDKZv3eX8jCJZGAXLKDXLKDXLJDL5eGDNSCIODtt9+m69QMYOGSSEAu2UEu2UEu2aGXy7pNff/nt67j99/8IQDgj37eidc+ebAixyUIgiCImk99S5KEcDgMSZKK3kdXUo+6ngeUsXBJJCCX7CCX7CCX7NDLpSEDtSiKmJ2dhSiKRe/jSQrUANi4JBKQS3aQS3aQS3bo5bJuU9/hjW04f2cKAPDiR/fh6//8sxU5LkEQBEHURer7/v37JaUfOlus2NNgBgDcrOMeNQuXRAJyyQ5yyQ5yyQ69XBo2UM/Pz5cki+M49Tr1h8tbEMT6/BCzcEkkIJfsIJfsIJfs0Mtl3aa+AeBffD2Ib717FwDwd7/843h6356KHZsgCIKoX+oi9X3r1q2Sz2qe2d+qlhcerJdaLUPCyiVBLllCLtlBLtmhl0vDBuqFhYWSZXXvf9SDrudAzcIlQS5ZQi7ZQS7ZoZfLuk59X/4wgn/0h+8AAE4e68Jw/wsVOzZBEARRv9RF6vvGjRsln9U4HqPUNyuXBLlkCblkB7lkh14uyxKovV4vIpFIOXYNgN11gtZGCw60NwGo70BN16/YQC7ZQS7ZQS7ZoZdL5qnvUCiEnp4eLC8vw2azaXqNXqlvAPjqf/kuvn19CQAQ/A0X9rY2VvT4BEEQRP2ha+qb53k4HA7Wu01BFEVcv36dyTRu3Y8lDyjbKHl/RoOly3qHXLKDXLKDXLJDL5dMA7Xf70d/fz/LXWZElmUsLy8zWRO0u85v0WLpst4hl+wgl+wgl+zQyyWzQB2JRDSnumOxGFZXV1N+AKhnKaIoZiwLggBRFGGxWHD06FGYTCb1ceWaQXI5Ho+nlBW5SlmWZTzV2aTW69rdRD1kWUY8HgeQuCaRXFbWIc1WFkUxpay1TbnaUWibdpdztclkMuHo0aOwWCw10ya93icA6OnpgcViqZk26fU+AUBvby84jquZNun1PpnNZvT29qptqIU26fU+WSwWOJ1OcBzHpE1aYRaox8bG4HK5NG07NDSEjo4O9aerqwsAMD8/DwC4cuUKrly5AgC4fPkyrl27BgCYm5vD4uIiRFHEW2+9hRs3bgAAZmZmcOfOHQDAhQsXsLSUuOY8PT2tDmqbnJzE2toaAGBiYgLRaBSCIOD9y99V6zXz7iIAYG1tDZOTkwASJyDT09MAgKWlJVy4cAEAcOfOHczMzAAAbt68iYsXLwIAFhcXMTc3BwC4du0aLl++rKlNAHDx4kXcvHmz5DZNTExAEAREo1FMTEzkbNO9e/cwNTUFURRrpk16vU/nz5/H3NwcRFGsmTbp+T5dvXoVPM/XVJv0eJ9WVlZw9erVmmqTXu+TKIp455138O6775bcpvPnz0MrTAaTBQIBHDt2TO1Rd3d3IxgMZu1hx2IxxGIx9e/V1VV0dXUhHA6js7NTPSsxm80pZUEQ1DOZ733ve3jhhRdgtVohCAJMJhNMJlNKWTmbVMoWiwUcx6llIHFW85mhv0NkK479bY24+OsuyLIMQRBgtVohSRJEUVTLkiSpvc9MZVEUIcuyWs7UjkxtUsqZ2lFomwRBSClbrdasbYrH47h8+TI+/elPg+O4mmiTXu9TLBbDu+++i0996lOQJKkm2qTX+xSPx/Hee+/h+eefh8lkqok26fU+cRyHH/zgB3juuefQ2NhYE23S630CgO9///s4cuQIGhoaSmrTw4cPsW/fPk2DyZgFap7n1b89Hg8GBwdx8uRJOJ3OvK/Xc9Q3APxPvu/g7/mHAIBLv+HCPhr5TRAEQZSRio/6drlcGBgYUH+ARLDWEqSLQRRFzM/PMxt599zBR5Ku3Fllsk+jwNplPUMu2UEu2UEu2aGXS6ajviORCEZGRgAAw8PDCIVCLHdfNp472KaW6y1QEwRBENVNXc/1rTB/awU/9QffBgD846OH8B9OfrridSAIgiDqh5qf61sURXV0LQs++ngrLKbEILV661GzdlnPkEt2kEt2kEt26OXSkIEaAJqbm5ntq9FiRvfOAh3X768jJtTXB5qly3qHXLKDXLKDXLJDD5eGDNRmsxnPPvsszGYzs30q16kFScb1+/UzQ1k5XNYr5JId5JId5JIderk0ZKAWBAGzs7PqrDEsSB75/e6t+kl/l8NlvUIu2UEu2UEu2aGXS0MGao7j0NnZqU5+woJPPtGhlr/3YYTZfqudcrisV8glO8glO8glO/Ryaano0RhhNpvxzDPPMN3nC0/YwHGALAPfvxlhuu9qphwu6xVyyQ5yyQ5yyQ69XBqyRy0IAmZmZpimH1obLfjY/sR16qt317C1XR8Dysrhsl4hl+wgl+wgl+zQy6UhA7XJZMKhQ4fU1bNY8amuRPpblGTM315huu9qpVwu6xFyyQ5yyQ5yyQ69XBrynTOZTHjqqaeYy/p0V6darpf0d7lc1iPkkh3kkh3kkh16uTTkOycIAi5cuMA8/fDpLptanquTQF0ul/UIuWQHuWQHuWSHXi4NGahNJhO6u7uZn9V87PFWNFsT98d974MI031XK+VyWY+QS3aQS3aQS3bo5dKQ71y5rhNYzCb1Nq1bkS3cXYky3X81Qtev2EEu2UEu2UEu2UHXqAtAEARMT0+XJf3wmaftavm7iw+Z77/aKKfLeoNcsoNcsoNcskMvl4YM1CaTCUeOHCnLWc1nHcmBOsx8/9VGOV3WG+SSHeSSHeSSHXq5NOSEJyaTCfv37y/Lvp1PdsJs4iBKMr7L136Pupwu6w1yyQ5yyQ5yyQ69XBryFCsej+PNN99EPB5nvu89jRZ88lDiOvXCgw0srceYH6OaKKfLeoNcsoNcsoNcskMvl4YM1GazGb29vWVbwSQ5/X2xxtPf5XZZT5BLdpBLdpBLdujl0pCB2mQywW63l+06wecO71XL36nx9He5XdYT5JId5JId5JIderk05DsXj8fxxhtvlC39cOzpxHVqAPj29aWyHKNaKLfLeoJcsoNcsoNcskMvl4YM1BaLBS+++CIslvKMhWtrssL5pA0AwD/YwM3wZlmOUw2U22U9QS7ZQS7ZQS7ZoZdLQwZqjuPQ3t5e1jVBX/roY2r5wrUHZTuO3lTCZb1ALtlBLtlBLtmhl0tDBup4PI7XX3+9rOmHH/v4o0B9/oe1G6gr4bJeIJfsIJfsIJfs0MslJ8uyXNEjZmB1dRUdHR1YWVlBe3t73u1lWUY0GkVTU1PZzmwkScax3w0gvLGN1kYL5n6zD1azIc9rclIJl/UCuWQHuWQHuWQHS5eFxD3DRp5yXyMwmTi8+NF9AID1mIDgjeWyHk9P6NoVO8glO8glO8glO/RwachALQgCJiYmyj7f6o8npb8D790r67H0olIu6wFyyQ5yyQ5yyQ69XBo29S0IAiwWS1lTOSubcTj/7RRESUaXvRkXfuWLNZc6qpTLeoBcsoNcsoNcsoOly7pIfVfijKajxYrP7cxSdjO8hat318p+TD2gM212kEt2kEt2kEt26OHSkIFaEARMTk5WRNiXnj+glt98927Zj1dpKumy1iGX7CCX7CCX7NDLpSFT35Xk7koUnxs6BwB47mA7vvlLL+pcI4IgCMLo1HzqW5ZlrK6uohLnGAc6mvCpLhsA4MqdVSw8WC/7MStJJV3WOuSSHeSSHeSSHXq5NGSgFgQBb7/9dsXSDz/9wkG1/Pr3blfkmJWi0i5rGXLJDnLJDnLJDr1cUupbA/dWE+lvWQae3tuCt375x2n0JEEQBFE0NZ/6liQJ4XAYkiRV5HiPtzfh892JpS/ff7iJ73+4UpHjVoJKu6xlyCU7yCU7yCU79HJpyEAtiiJmZ2chimLFjvnlTx1Sy389d6tixy03erisVcglO8glO8glO/RySalvjaxsxfGZ3w0gJkiwtVjxndPH0WQ1610tgiAIwoDURer7/v37FU0/dDRb8donE4PKIpvxmrmnWg+XtQq5ZAe5ZAe5ZIdeLg0bqOfn5ysu62d7u9Tyf7v4QUWPXS70clmLkEt2kEt2kEt26OWSUt8FIMsyjv/78+CXNgAA0//6x+B4rFXnWhEEQRBGoy5S37du3ar8WQ3H4Wc/86hX/Wcz71f0+OVAL5e1CLlkB7lkB7lkh14uDRuoFxYWdPngnTjWheadQWRjlz5EZHO74nVgiZ4uaw1yyQ5yyQ5yyQ69XFLquwi+9vo8/uzvbwAABl/9OP7XH39G5xoRBEEQRqIuUt83btzQ7QzxF/7hYSgTk/3ZzPvYFox7pqq3y1qCXLKDXLKDXLJDL5eGDdR6XnN5et8e9D33OADg3moM37hs3Pm/9XZZS5BLdpBLdpBLdug2PopS38Ux+34Y7j/5ewDAxx5vxTd/6SWYTTT/N0EQBJGfmk99i6KI69ev6zol3rGnOnH0SRsA4Ef31g3bq64Gl7UCuWQHuWQHuWSHXi4NGahlWcby8rKu66tyHId/3fdx9e//FLgGQTReaqkaXNYK5JId5JId5JIdermk1HcJyLKMn/V9B99dDAMAfr//BbiPdeV5FUEQBFHv1EXq++rVq7qncjiOw79+JalXfe6a4UaAV4vLWoBcsoNcsoNcskMvl4YM1ACwtbWldxUAAJ85bMdLH3sMAPDh8pYhZyurFpe1ALlkB7lkB7lkhx4uKfXNgPlbK/jpP/w2ZBlobbRg+pd/DPvbmvSuFkEQBFGl6JL6DoVCGBkZwcjICNxuNyKRCKtdpyGKIubn56smlXPkUIe6stZ6TMDwN3+oc420U20ujQy5ZAe5ZAe5ZIdeLpkF6kAggMHBQQwODqK3txfHjx9ntWtD8MuvfBztTRYAwF+GPkTwxrLONSIIgiBqASap71AohOPHj2N5ORGceJ5Hd3c3FhYW4HA48r7e6KlvhT+beR9f+5t3AQDPHmjD3/yrL6DBYthhAARBEESZqHjq2+l04syZM+rfStrbbrez2H0aoihibm6u6lI5P//ZJ/HcwYTwq3fX8IdvXde5RvmpVpdGhFyyg1yyg1yyQy+XzLp7/f39avns2bNwuVyw2WwZt43FYlhdXU35AaA2XhTFjGVBENRyY2OjOt+qIAgZy/F4PKWsJA+UsizLaWUAKWVJklLKgiBkLVvMJgz/kyOw7Ewl+kdvXcflm8ua25StHeVuU2NjY872iaKYUi7kfdKrTbnep3K2qampqebapNf71NzcXHNt0ut9am5urrk26fU+NTY2MmuTVpjnZSORCPx+P8bHx7NuMzQ0hI6ODvWnqysxEGt+fh4AcOXKFVy5cgUAcPnyZVy7dg0AMDc3h8XFRZjNZkQiEdy+nZi2c2ZmBnfu3AEAXLhwAUtLSwCA6elptXc/OTmJtbU1AMDExASi0SgEQcDExAQEQUA0GsXExAQAYG1tDZOTk2p7pqenAQBLS0u4cOECAODOnTuYmZkBANy8eRMXL14EALTEHuIrH28GAAiSjF/884uICWLeNgHAxYsXcfPmzYq2aXl5GXfv3oXZbM7apsXFRczNzQEArl27hsuXL2t6n/Rqk5b3qRxteuedd7B3716YzeaaaZNe71MwGMSzzz6LDz74oGbapNf7tLm5iWeffRZvvvlmzbRJr/fJbDZDkiT86Ec/KrlN58+fh1aY357l8Xjg9XpzXpuOxWKIxWLq36urq+jq6kI4HEZnZ6d6VmI2m1PKgiCA4zjIsoxgMIijR4+ioaEBgiDAZDLBZDKllOPxOMxms1q2WCzgOE4tA4kznOSy1WqFLMtqWZIkiKKoliVJgsViyVoWRRGxuIifGf0urtxJZAr+2eefxr/5yWdztkkpZ2pHOdu0vb2Nubk59PT0wGQyZW2TLMtqOVM7qqlNWt8n1m2KRqO4fPkynE4nZFmuiTbp9T5tb2/jBz/4AV544QWYzeaaaJNe7xMAfO9738ORI0fUjI/R26TX+yTLMkKhED71qU+l9KyLadPDhw+xb98+TdeomQbqkZER9Pf3w+FwqGc/2dLfyRQ6mEwURSwuLuLw4cMwm80l1ro8vHd7FV/5o3fUmcr+5KtOvHrkoM61SscILo0CuWQHuWQHuWQHS5eFxD1mgdrv98Nms8HlciESiWBsbAwDAwPMK2wk/vw7N/Abf51I57c1WfDGL76IJ/e26FwrgiAIQm8qPuqb53m43W709fWB4zh0dnbC6/Wy2HVGBEHAzMyMeqG/Wvn5zz6Jn3oh0YteiwoY+PolbMSqq85GcWkEyCU7yCU7yCU79HLJJFA7HA51tJ3yo9xTXQ5MJhMOHToEk6m671HmOA5D/+STOLxvD4DELVu/9N+/B1HSfdZWFaO4NALkkh3kkh3kkh16uaS5vivA9fvr+Md/9A7WoomzsIGXHPi1157TuVYEQRCEXtT8MpeCIODChQuGSeU8s78Vf/zzPTDv3F/tu8Djv357UedaJTCay2qGXLKDXLKDXLJDL5eGDNQmkwnd3d2GSuV84aP78Fv/6Hn179/+xnsYv3RTxxolMKLLaoVcsoNcsoNcskMvl5T6rjD/YepH+E/nEjfImzjgD3/Oidc+WX23bREEQRDloy5S39PT04ZM5fwfro/in33+aQCAJAO/+N/m8FdzH+pWHyO7rDbIJTvIJTvIJTv0cmnIQG0ymXDkyBFDpnI4jsNv/tQncOLYEwAAUZLxf419H3/x3Q90qY+RXVYb5JId5JId5JIdermk1LdOSJKMr/3Nu/j6d26oj/36a8/hf3nxMDiO07FmBEEQRLmp+dR3PB7Hm2++WdDqI9WGycTht7/8PDwvPZoT/XcnruDfvD6PuChVrB614LJaIJfsIJfsIJfs0MulIXvUkiQhEonAZrMZPp0jyzL+YPo6/t+pH6mPvfjRffjDn3Oio9la9uPXkku9IZfsIJfsIJfsYOlSl7m+S6EeU9+7+cvgh/jV/3EZcTHxdjge24PRr/bgo4+36VwzgiAIgjU1H6jj8TgmJyfxyiuvwGotf6+zUsy+H4bn60GEN7YBAM1WM37nK0fQ3/NE2Y5Zqy71gFyyg1yyg1ymI8syYoKEzW0RW3ERW9siovFH5a144u+o+reErbiIjeg2Pokb+MlXS3dZ84FalmWsra2hra2t5gZeffBwEwNfv4Srd9fUx/p7nsBvf/l5tDRYmB+vll1WGnLJDnLJDqO6FERJDZybOz9bceFRWX1cQDQupj4eF7G1vWvbuICtbSnxeFxEsZHv737ps3jqwN6SXdZ8oK51trZF/Nbfvov/Pvto5rIn7S34f9yfwmcO23WsGUEQRCrJvdONmID1mIDNbQHrMRGbO39vxARs7DyfXE4OosnBd2tbxHYFB9UWwre9X8QTnaUvV1zzgToej2NiYgKvvfZaTady/nruFn7tr36AzW0RAMBxwC98/jB+5UsfR3MDmwXg68VlJSCX7CCX7MjkcluQsBaNYz0mYC0qqEEzOcgmAupOYE36WwnAyQFXqKIVATPRZDWhpcGCZqsZLQ2Jn+YGc+KxBjOaLGY0N5jQbDWj2WpGU4P5UXnnp7nBDCsn4/b83+PLP1X657LmA7Usy4hGo2hqajJUKqcYFpc28Cvj38elG4+WDe2yN+M3f+p5uJ7bX3L768lluSGX7CCXmREleSe4Pgqy61EBq7v+XovGsZb098rWthqIV6MCtoXq6q2aTRxarErwNKO5wYJmJbg2JAVXqyUpyD7atsWaGnxbGhLBtWUn4JpMbD5DLD+XdRGoBUGAxWKpi39iUZLxp+8s4vff/CFiSf9gX/z4Y/jaTz+Pp3fWuy6GenNZTsglO2rVZUwQsbIVx+qWkPgdjWN1K/GzsvOzuiVgLRbHWnQn0CqBOZrowVYDLQ1m7Gm0oLXRopb3pDxmQWujGS2Nlp3HzDuPJbZvbbQkntsJrg1mkyHeZ5afy5oP1PWaFlt4sI7f+Kt5/D3/UH2swWzCP3/xMP7Fj3UXdd91vbosB+SSHdXqUpYTPdrdwXZlKzXgrkaFpMAbV7eLxvXpyZogo63ZirYmK1obLWhvsqK1yYK2JosaXPc0WLCncSfoJgVe5XEluLYw7KEaDZafy5oP1LV6tq0FWZbxxg/u4HffuII7K1H18Y5mK/7Fj3Xjn33+6YKuX9ezS9aQS3aU26Usy9iKi1jejGN5YxsrW3Esb25jeTOOyMY2Ijt/RzYf/Y5sJrar9OXYPQ3mRIDdCaxqoG3c+bvJgrYmK9p2/Z3YLhFkrZwMq9VKn8sSoR41XaMuiI2YgP/81nX8l7cXU0ZHPtbWiF98+RmcONaFJmv+gE0u2UEu2VGIS0mSEdmKI7wRQ3gjEVCVALu8mfq3+nsrXrHrtC0NZnQ0W9HeZE38bragPenvxGM7v5t2nmtOBNrWRgvMJfZe6XPJDrpGTanvovhweRP/MXAN/yP0YcqZ/r7WBvzCPzyMr37uqZwpcXLJDnLJBlGS8WB1E69/M4Dnez6HlaiE8EYMDze28XB9G+GNbTzciCV+r29jeXO77L3ctiYLOlsaYGtJD7ipQfhRwO3YSTU3WPSdtpM+l+yg1DfdR10S1+6t4d9P/gjfevduyuOtjRb8/GefxFc/9xS67KXf+0cQhSLLMla3BDxYj+LBWmqQTS4nAnAi8JbrW6nRYlIDrq3FulNuQOdOuWPnd2eLVX28o9kKi5nmyCbYUvOB2qgz7VSC+Vsr+JPzC5j4wZ2UXgbHAS9/fD/+6T94Ci999DF1MAi5ZEe9udyICXiwFsPSegwP1mJ4sPNb/XtN+Xu7LJNXNFlN2LunEXtbG2Dfs/PT0oDOPQ3oaN4VcPdYYWtuYDb/gJGot89lOWHpsuYDNc1dm5/3lzbge5uH/9KHaV+ST+1twc995kn846OH0NlsJpeMqIXPZUwQsbS+vSvQJgXe9Ud/bzK+VajZasbe1gbs3ZPo8UYjS/jkx57GY21NsO9p2AnIjdi7Uy7HlLq1SC18LqsFli5rPlAT2nmwFsPZ2Q/wF9/9ALeTRokDgIkDXvzoY/gnzkN45RMH6rK3US+IkoyH6zHcW43h3moU99aiuLcSTfy9FlUfVxaEYQHHAXv3NGBfayMea9v5aW1MC7j2PQ3Yu6eRPn9EXVHzgZrWVy0cQZQwffU+vv6dG3j72lLa862NZnzp+YN47ZMH8A+f2adpxDiRih6fS1mWsbIVVwPt3dUo7q8+Crz3dsoP1mMQGY246mi2qkF3385vJRDva21Qy/aWhqKv7dL/ODvIJTtoPeoCU9/T09N4+eWXKZVTBItLG/ir0If4y9At3IpspT3f2mjBF5/dj1efP4Af//hj2NNIKUYtsP5cbm4LuLcaw92VKO6vJYLu3ZVEDzg5GMcY3GZkNXPY39aEx9sbsb+tCfvbGx/1hHd+79sJxI2W8p/E0f84O8glO1i6rPlATbBBkmTMvh/G/wjdwhs/uIP1mJC2jdXMoeepTrz40cfwhWf24cihjpLv66x3BFHCg/VEAE7uCSf3gO+tRLGW4f0olET6uREHOhrxeFsT9rc34UB7IiA/3t6089OIzpaGup1tiiD0oOYDtSRJWFpawr59+yiVUyKKy9aOTswshPGtd+9i6r17WNmKZ9ze1mLF5w7vRc9TnXA+ZcPzH+moSJpclGRcXAzj/loU+9ua8JnD9qo7YRBFEfyH9xC37sGD9W3cW0kPwHdXo1hajzG5/aij2ZoWcB9vb8L+tiYc6Ej8va+1EVYD3lpE/+PsIJfsYOmykLhnyJymJEmYn5/HSy+9RB+8Ekl26frE43B94nHERQkXF8P41vxdnP/RA3wQ3lS3j2zG8a1376r3a1vNHD7xkQ58+okOfPxAOz5+oA0fP9CGVobp8m/N38Fv/e17KVOmHuxowtd++hN49chBZsfJRlyUEN7YfjTqWf29jftrUdzfCcCs0tBNVpMafNN7v4/S07U8+Ir+x9lBLtmhl0tD9qiJyvLBw028ff0B3v7REmYWlrAazZ+SPWRrxjP7W9Flb0ZXZwu67C140t6CAx1N6Gxp0Nwb/tb8HfzLPw9h94dUefUff9VZcLCOxkV1budIyhSTcTxcT70FaWlnIg4WmLjEFK8H2tNT0IkecOKnvYnmCieIWqcuUt937tzBwYMH6QyxRAp1KUoyfnRvDaEPljH3QQShD5bBP9go6JgmDrDvSQxM2tfaiI4WK1obLGhRVujZWSLPZOIw8q2rWNnKfmLQ3mTBL7k+BkmSsS1KiYXvkxa0V3/vrHi0vLldlhWM2pssONDehI5GDk8+1o4DHUogblID8d49xY+Crjfof5wd5JIdLF3WRep7YWEBjz/+OH3wSqRQl2YTh+cOtuO5g+34+c8+BQCIbG7jyp01/PDuKn54bx0/vLuKH91bzzg4DQAkGVja6bUCayXVfzUq4He+8V5J+8hGo8W0c8tR8gjoBvWWpH07zx1oT6ShBUHAzMwMPv/5I7BYDPmvVTXQ/zg7yCU79HJpyB41Uf3Isoyl9W3cXN7EzfAmPlzews3wJu6tRrG0vo2H6+WbWjITDRYTbM3WnTmeG2BrtibN+dywM++zFfY9j+4Hbm2kFDRBEOWhLnrUN2/eRFdXF50hlki5XHIcp0584XyyM+M2sixjNSpgLRrHRkxMpK23hZ1UtYgf3l2D720+77H+1RefwXMH29FgMSUWvm/YWfi+0YyWBgtaGswVGflMn0t2kEt2kEt26OXSsIH61q1bOHToEH3wSkRPlxzHqevxZkKUZPzt5du4uxJNG0wGJAaUHehowv/Z97GquFWLPpfsIJfsIJfs0Mslpb6JqkYZ9Q0gJViXMuqbIAhCbwqJe4Y8vRJFEdevX4cosl29px6pdpevHjmIP/6qEwc6mlIeP9DRVHVButpdGglyyQ5yyQ69XBoy9S3LMpaXl/H000/rXRXDYwSXrx45iL5PHKj6mcmM4NIokEt2kEt26OWSUt8EQRAEUWHqIvV99epVSuUwgFyyg1yyg1yyg1yyQy+XhgzUALC1lb48I1Ec5JId5JId5JId5JIderik1DdBEARBVJi6SH3Pz89TKocB5JId5JId5JId5JIderk0ZKAmCIIgiHqBUt8EQRAEUWEMN9e3cq6wurqqaXsl/XDkyBGYzeZyVq3mIZfsIJfsIJfsIJfsYOlSiXda+spVEajX1hJLHXZ1delcE4IgCIKoHGtra+jo6Mi5TVWkviVJwu3bt9HW1qZpWcHV1VV0dXXh5s2blCovEXLJDnLJDnLJDnLJDpYuZVnG2toaPvKRj+Rd4KMqetQmkwlPPPFEwa9rb2+nDx4jyCU7yCU7yCU7yCU7WLnM15NWoFHfBEEQBFHFUKAmCIIgiCrGkIG6sbERX/va19DY2Kh3VQwPuWQHuWQHuWQHuWSHXi6rYjAZQRAEQRCZMWSPmiAIgiDqBQrUBEEQBFHFVMXtWVrheR5+vx8OhwM8z2NgYAA2m03vahmSUCiEU6dOIRgM6l0VwxMKhRAIBAAAs7OzOHPmDH0ui0TxGIlEMDs7i5MnT8LpdOpcK+Pj9Xpx+vRp+lwWSSgUAgA4nU7wPI9IJFLZz6VsIJxOp1peWFiQ+/v7dayNcRkfH5eDwaBssLe/ahkeHk4pJ39OicKw2WxyMBiUZVmWR0dHZYfDoXONjI/yv768vKx3VQzLwMCADEAGILtcroq7NEzqm+f5lL8dDod69k0URn9/P/VSGBEKhTA0NKT+3d/fj1AolPZ5JbQxPj6e8tmkHmDp8DwPh8OhdzUMTU9PD5aXl7G8vIypqamKfy4NE6gDgQDsdnvKY3a7XU1JEIQeOJ1OnDlzRv07EokAQNpnldCGy+VSy+Pj4/B4PDrWxvj4/X709/frXY2awGaz6XbiaJhr1MoX4G7C4XBlK0IQu0j+Ijx79ixcLhf1BEsgFArh7Nmz6Ovrw8DAgN7VMSyRSIQ+h4yIRCLw+/0AEuNQPB5PRbMUhgnU2cgWwAmi0ij/zDRArzScTiccDge8Xi/1CEtgbGyMTnQYkTxw2eFwoK+vDwsLCxU7vmFS3zabLa33HA6H6YyRqBq8Xq8u169qEZvNBrfbDbfbTSfjRRAIBHDixAm9q1EzJI85Ue46quQ4FMME6uRrV8kcO3aswjUhiHRGRkbg9XrhcDgQiUQouBRBIBBAZ2en+reSWqSBecUxNjYGn88Hn88HnucxNDREY3qKIBQK4fjx42mPV3IcimFS37uvB/A8j2PHjlHvpUToOlbp+P1+NV0biUQo5Vgkdrs95YQ8FArBZrPRHQpFsLtj4/F4Kn5dtVZwOBwYHh5W/w4EAujv76/o96ah5vrmeR6jo6Po7e3F7Ows3cBfJIFAAFNTUxgZGcHg4CB6e3vpOmCR8DyP7u7ulMdsNhuWl5d1qpGx8fv96iWuqakpDA8PU3ApgUgkAp/PB6/Xi4GBAXg8HjrxKQJlUiObzYaFhYWUwF0JDBWoCYIgCKLeMMw1aoIgCIKoRyhQEwRBEEQVQ4GaIAiCIKoYCtQEQRAEUcVQoCYIgiCIKoYCNUEQBEFUMRSoCYIgCKKKoUBNEHWKx+NJm6yFIIjqwzBTiBIEwRa3203LxBKEAaAeNUHUKVNTU+jr69O7GgRB5IECNUHUKYFAgFafIwgDQHN9E0SdwnEcZFkGz/MIhULgeR6Dg4N6V4sgiF1Qj5og6pBQKASn04lIJKKWz549q3e1CILIAA0mI4g6JBAIAAAuXbqkLnEaDAb1rBJBEFmgHjVB1CFTU1M4ffo0eJ6Hx+PRuzoEQeSArlETRB3S2dmJ5eVlAEB3dzcWFhbg9/vV3jVBENUD9agJos7geR4ul0v9u7+/H36/H06nU8daEQSRDepREwRBEEQVQz1qgiAIgqhiKFATBEEQRBVDgZogCIIgqhgK1ARBEARRxVCgJgiCIIgqhgI1QRAEQVQxFKgJgiAIooqhQE0QBEEQVQwFaoIgCIKoYihQEwRBEEQVQ4GaIAiCIKoYCtQEQRAEUcX8/44S/smiAzgAAAAAAElFTkSuQmCC" 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 24 }, { "metadata": {}, "cell_type": "markdown", "source": [ "It is known, that for Orlicz norm for such Orlicz function we have \n", "\\begin{equation*}\n", "||x|| = \\int_0^1 x^{*}(t)\\,d\\mu(t)\n", "\\end{equation*} \n", "so \n", "\\begin{equation*}\n", "||x_3|| = \\int_0^1 \\cos{\\frac{t}{2}}\\,dt = 2\\sin{\\frac{1}{2}}\n", "\\end{equation*}\n", "and we may check accuracy of calculation by" ], "id": "c2f368645b26d029" }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:54.784074Z", "start_time": "2024-09-04T22:37:52.781234Z" } }, "cell_type": "code", "source": "osm.Orlicz_norm_with_stars(Orlicz_function, x=x_3)[0] - 2 * np.sin(1 / 2)", "id": "ec1c4f20d5052b9f", "outputs": [ { "data": { "text/plain": [ "np.float64(2.751016016100394e-07)" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 25 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:56.548977Z", "start_time": "2024-09-04T22:37:54.818712Z" } }, "cell_type": "code", "source": [ "for x in [x_1, x_2, x_3, x_4]:\n", " osm.plot_kappa(Orlicz_function, x,\n", " k_min=0.5,\n", " k_max=3,\n", " dk=dk,\n", " p_norm=1,\n", " show=True)" ], "id": "b749c3daaf1e06be", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" 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" 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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\Adam\\OneDrive - Zachodniopomorski Uniwersytet Technologiczny w Szczecinie\\numerical_function_spaces\\src\\numerical_function_spaces\\orlicz_spaces\\norms.py:50: RuntimeWarning: invalid value encountered in multiply\n", " return 1 / k * (1 + np.nansum(Orlicz_function((k * x[0, :])) * x[1, :]))\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 26 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:37:58.267871Z", "start_time": "2024-09-04T22:37:56.571555Z" } }, "cell_type": "code", "source": [ "for x in [x_1, x_2, x_3, x_4]:\n", " osm.plot_kappa(Orlicz_function, x,\n", " k_min=0.5,\n", " k_max=3,\n", " dk=dk,\n", " p_norm=2,\n", " show=True)" ], "id": "8f1a91a0034eff76", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" 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V9AVfJKQhP4wxiKIIg8HAlXY0mUyw2+1xLFn6EC8NtYpa+mniF0OSJORLN1PePZdp4pNYkCQJPT09tDQeB6RhfJDnjSYWD2nIhxr6aSJQGwwGfPTREuX1SeqnjgmDwYAnnniClmjkgDTkh5Zo5Ic05CMtlrlMVyRJQoEwrrzuuUQt6liQJAmXLl2i1iAHpCE/8nzpNBBq8ZCGfKiln2YC9fVL57HRmAMAODU4CkmiihotkiShr6+PggwHpGF8kJcOJBYPaciHGvppIlAbDAY8+uij2L4xHwAwPh2Aa2h8gU8RMrJ+lLZdPKQhP4Ig0BSsnJCGfKilnyYCtSRJOH/+vBKoAaD7oke9AqUZsn7UGlw8pCE/jDFMTU1R2pYD0pAPtfTTTKC+dOkS7t5wc4ayblryMmqof5Uf0jA++P1+tYuQ9iRDQ4/HA6vVCqfTGXEfq9Wa8HIkAjXqoCbycAaDAQ8//DBGJm4K/NaAR70CpRmyfsTiIQ35EQQBy5cvV7sYaU2yNDx+/LiyUlg4nE4nysrKEl6OeKNWHdREizoQCODs2bNYnq3DllXBGcpODo5iWqTWTTTI+tH0l4uHNOSHMQafzxe3tGM0rb5MI94aRsJiscy7eIXD4VDmV3e5XMpSoDabDXV1dQktGw/J0m82mgjUjDEMDw+DMYZ7NwX7qadFCWeuelUuWXowUz9icZCG8SGeNzoLtfpmE8u+iSKWoBapvKl2s+hyuZR1wSsqKmA0GmGz2VQuVWTU0E8TgdpgMKCsrAwGgwH3bDIq2yn9HR0z9SMWB2nIjyAIWLZsWdxG3C7U6ptJQ0MD3G53yDan06msZ50IPB4P6urqIAgCKisrYbPZog5qs8tbXV2N4uJibg3D3RjE2gJuaGgIWerTYrHA4XCgvLwcANDZ2ZmyS3HGuw5GiyYCdSAQwOnTpxEIBHBvkVHZTiO/o2OmfsTiIA35YYxhcnIy6VkJp9OJwsJCmEwmZZscHBOZNp+5dvX+/ftRUVERVVALV97KykqYzWZuDauqquYMAgu3bT76+vrmlLmjowOlpaUAQlvYqYZadVATgRq4OT/r+zasgEEXvBt6e4BGfkcLzQ/MD2nIjxpdB/v27ZuzXnVFRcWilsmMtfXpcDhgMplCAttCQS1cee12uxLceTSUyzFz1bFw2xwOB5xOJw4cOBByMzPzJmMmLpcLBw8eRF1dHerr6xddvmSgRh3URB5Or9fj/vvvf88Gblubh5ODo+i95sX4lIhl2ZqQYdHM1I9YHKQhP4IgYOnSpUk9p8fjCWmZ8nLjxo2Y9rfb7XMCsRzUPB7PnKAWqbwOhwO7d++Oi4a7d++GzWZDTU1NxG0WiyVsq9hut6O2tjZsmWemw1MVNeogoJFAHQgEcOrUKdx5553Q6/W4t8iIk4OjkFhw3u8HTSvVLmJKM1s/Ina0pOHvfe8NXPcmZppFxljY/sHVedn47V98IKZjya0+mXAt5IMHD6r6GNHx48exd+9e5fVCQS1SeZ1OJ8xmM/r6+nDs2DEMDAyETVe7XC44HA709fWhuroaTqcTHR0d2Lt3r9JyNpvNsFqtIYE63LbZeDweFBcXz9m+b9++iJ9JNeRR3zk5OUntp9ZEoJ7NvZvy8Yv2oN19kQI1QcST694pXBn1qV2MBYnU6ptJX1+fkmZWA6fTGVLGhYJauPLKQdrj8cDpdOK+++7DP/3TP4UN1A6HA1VVVXA4HKisrERnZyesViuqq6tD0u+zB9ZF2jaTmX3uM5ndwibmoolArdfrsX37duX1zAFlb9GAsgWZrR8RO1rScHVedkqfc76W0Oz+R4/Hs+gRyB6PZ05gdTgcIQFy5cqVEVuhDocDRqMx5PwLBbVw5XU4HACCrfPKykoAwUFo4Xj22WcBBIP77t27AQSDPxFEEATk5uYm/byaCNSBQADd3d245557oNfrsW3NcuRk6eDzSzTyOwpm60fEjpY0jDUFHS3yiNvc3FyutGMsg4GMRuOin582Go1zAqvVao26BRmufzqac84ur91ux969e+FyuVBVVYXvfOc7ETWUg/yBAwfQ2NgIgO9mJdOIVx2MFc2M+p55F2TQ63D3ewt0DLgncWOMln1bCDXuIjMN0pCfeP04ulyusP2lsykuLg4ZzRyORE2EEmmEtLxd7kOeSbjyHj9+HBUVFaiqqsLhw4chCELEZ6/lmdpcLpcyKO3gwYNz9i0sLIxqWyaixspjmgjUer0ed9xxR0hLZubEJ7RAx/yE04+IDdKQHzntGI8fSpPJFNVobovFgo6OjjnbZ6aw9+3bF9eZtOTZx5xOJzo7O+cE49LSUhiNRhQXF88ZADe7vLMf36qoqMBLL70UdqIWk8mkBPrGxkY0NDTMmZwECKbFZ99AhNuWicSzDsaCJlLfoiiiq6sL999/vzIz1Mx+6q4BDx6/Y41KpUt9wulHxAZpyA9jDBMTE1i6dCn3D6XcKvV4PDh+/DgKCwvDjvo2mUxhW9TyQLREDIQymUyoqakJ23ddXV2NyspKFBYWKrOSdXR0KOWYXV6TyaSksAHg+eefVzQM51M0HDhwANXV1Qtuy0TiWQdjQRMtakEQUFBQECJsyeYCxXaeH1ajWGlDOP2I2CAN40O8MhJ2uz0kqM2X3q6uro5bi3nmo1axIqek5alPCwsLUVFRgYaGhpD0+0Ll5dFQPs/MbES4bZmMGlkxTQRqvV6PrVu3hgi8IT8Ha1cER4q+NeBBQKLFEiIRTj8iNkhDfgRBiNvzq06nE3a7HUCwJTl7Jq+ZWCwWuN3uuPRF8wzKMpvNMJlMyihut9sNm82GqqqqkOPOV15eDfft2zcnixBuW6YSzzoYC5oI1KIooq2tDaIoKtsEQVBa1WNTIq2kNQ/h9CNigzTkhzGGsbGxuE3hWF9fjz179gCYv0UNIGVmzaqvr0dpaSlcLhc8Hg8qKirCBslI5eXVMNy5tBKkgfjXwWjRRKDW6XTYuHEjdLpQd823zEh/X6D0dyQi6UdED2kYH7KysriP4XK5lIFPFosFDQ0NUY1YTpVHlOTlOfv6+uZdFCRSeeOhoZZRQz+BpdgCuaOjo8jPz8fIyAhWrFiR0HN1nh/Gx3/QBgD4A/NGfOvZ+xJ6PoLIJHw+H/r7+7Flyxbk5OSoXRyCSDnm+47EEutiur2Pdv1Vl8uFhoYGZWHzhdJKiUYURbS2ts5JO27fuAJL9EEJui54VChZehBJPyJ6SEN+GGPwer2qrF6UKZCGfKilX9TPidhsNphMpqjWX529skp1dbWqS5fpdDoUFxfPSTtmG/TYvnEFnBc86B8ax42xKaxcnvzpD1OdSPoR0UMaxofsbPp+8kIa8qGGflH/asSy/uqBAwcWXaBEMF//4MzHtKhVHR7qX+WHNORHEAQsWbKEHnHjgDTkQy39EvKrUVhYiJKSEmXJNLVnrBFFES0tLWHTjjMHlHXSgLKwzKcfER2kIT+MMYyOjlLalgPSkA+19EtIoJZnwikuLkZjY+O8zyhOTU1hdHQ05A8ILmIg/w9ni6IYYkuSFNHW6XS48847lXP6/X5F6Ls3LFe2d55zgzEGxhj8fj8AhNiSJIXY8o9uJDsQCITY8fRJ9mOmLfsk23LZeX0CgDvvvBM6nS5jfEr2dQKA7du3IxAIZIxPsi1JkuKTbDPG5tiyT5Fs+Rjz2fKAnGj3j8UO50cyfEqkPdsPIDjnvLxPJviU7Osk6xfLZyN9n6IlIYHa4XCgtrYW9fX1aGhomHdquX379iE/P1/5KyoqAgD09PQAAE6dOoVTp04BALq7u9Hb2wsA6OrqQn9/PwCgvb0dAwMDAIC2tjYMDg4CAFpbWzE0NASdTofu7m7lJqC5uRleb/C56c43WrAhP/jl77rgxuTUNHw+H5qamgAAXq8Xzc3NAIIz8LS0tAAAhoaG0NraCgAYHBxEW1tw9PjAwADa24OLXff396OrqwsA0Nvbi+7u7rj5BAAtLS3KpAYzfWpqaoLP54MoimhqaoIoilw+Xbp0Cf39/dDpdBnjU7Kv0+joKNasWQOHw5FRPgHA2NiY8uMjtzYYY3NsIPhjOvNmXNZCFEXF9vv9GBsbAwBMT09jfHxcsf1+PwRBgM/nw+TkJIDgyFqfL7j+9eTkpGJPTExgaiq44M74+Dimp6eV8l6/fl3RTP7B9Hq9ys3K6OhoRJ+Gh4fBGFM04vFpamoKExMTih88Psk3cl6vd16fsrKyEnqd1PAp3HVKhE+CICjf02h9mp6eVr5DM79PR48eRdSwGFnoI319faympibktdFoZH19fWH39/l8bGRkRPkbGBhgAJjb7WaMMSaKIhNFcY7t9/tD7EAgENGenp5mL7/8MvP5fIwxxqanp5kkSYr9F//RyTZbX2SbrS+ytweGmSRJbHp6mjHGQmz5WLLt9/vntUVRDLHD+bFYn+Syz7Rn+iRJklL2mfZifPL5fOzll19m09PTGeNTsq+Tz+djr7zyChsfH88Yn8bHx9nJkydDfAoEAoofs23Zp0i2fIxIdiAQYB6PJ+S40X52pn327Fl28OBBxhhjzz///JyyR7IlSWK9vb3s4MGDTJIk9vzzz3P7lGh7th+yhqIoJuw6JdunZNS9mceS62A0+09OTrITJ06w8fFxxljod+jGjRsMABsZGWELEfcWtdPpRFlZmfLaZDJh7969Eaffy87OxooVK0L+gJvzqer1+rC2wWAIseVBOuFsvV6PBx54QHlQPSsrSxkMkJWVFTrxyflhCIKg7DvT1ul0Iba8uEIkW6/Xh9jx9Eku+0x7pk+CIChln2kvxqesrCw88MADSlkzwadkX6esrCyUlZWFTD+Y7j7Jtk6nU3ySbUEQ5tiyT5Fs+Rjz2cuWLVO2RbN/LHY4P+bzaeYxeHzq7+9HeXk5tm7dimeffTbi/g0NDdDpdEoZZNvhcEQ8jk6nw/79+yEIgnK9jUYjDAaDsuSlTqdDV1cXdu3apbQ45e0ulwu7du3Ctm3bUFlZOadc3/jGN1BSUoKtW7fiK1/5CgBg//79c8ooCIJyPqfTidLSUmzduhXl5eXo7+8POWZXVxfKy8sxMjIyRwOn04knn3wSIyMjIddGjjtbt27Frl27cO7cuZBrVldXh9LSUmzbtg1Wq1XZXlBQgMLCQhQWFqKgoADPPvtsRN3lci5btgxdXV2K37t27YLL5Zr3Gkf6PkXNgqF8FgDY8PBwyLbOzk6lxTy7Rc0Ym/N6PkZGRqK+y4gX3QMepUX9Z//embTzEkQ6Mzk5yU6ePMkmJye5jyUGJNZ2doj9uusiazs7xMSAFIcShqevr481NjYyxhirra1N2mcjYTKZmN1uZ4wxVl9fzywWS1SfGx4eDtk32uPM/lxVVRWrqKgI+9s+3zGrqqqi+m2ffT6j0cg6O4O/s3a7nZlMpqjKMt97Cx0zUjmNRuOcY80uu9lsnpMVnu98M5nvOxJLrIs6UNvtdlZTU8MAsJqaGqWyMsZYRUVFSKW12+2straW1dfXs/r6+ohp73AkIlBPT0+zF198UUkdzsYvBthdf/sy22x9kZV9za6kL4ggC+lHLEwmahivQP3yO5fZQ193KDfLm60vsoe+7mAvv3M5ZL9AIMCGh4eV1OFiSUag7uvrYxUVFayioiLkt1JG/pHv7Oyc8yO/UPCQMZvNym9rtMcJBALs3nvvZb29vXOONzsAzndMuUuztraWmc1mZjKZFJ/mK2dfX1/YYy5Ulvnem++YC5VzIa2rqqpYfX09M5lMrK+vjwUCAdbV1RWVD4zFL1BHnfqW115ljKG2tjZkJHdjY2PIBCcWiwU1NTWoqqpCVVWV6sufGQwG7NixI2KqwaDXwfze89TXvFO44J5IZvFSnoX0IxaGNAzPKz2D+PzPnRgc8YVsvzLiw+d/7sQrPYPKNkEQkJeXl9BnWOVZFa1WK1wuF2w2G6xWa8wrZ1mtVtTW1mL//v3o6OhAeXm5MkOjx+NR5ppwuVxzfh8jrYE9k4aGBpSWliqfjfY4+/fvxwMPPIDi4uIFfZjvmE6nEx6PByaTCZ2dnbBaraisrFywnCaTCUajUVmas66uLup1sCMx3zGjKWdlZSWKi4uV9cln+u9wOEIWOBEEAXfffXfcfVgITfxqCIKw4FyqD24pxJHe4IjWY/1ubF65LBlFSwui0Y+YH9JwLgGJ4e9/exLhnkhlAAQAf//bkyi/ax30OkHpZ00k8g+zw+FAZWWl8uNeXV0d9aIcTqcTtbW1SnCqra2Fy+VSgj9w8xFWt9sd9rhut3vec1itVnR2dobsH81xvvKVr6CzszOqm535jim/JzfYqqqqFP9mBvfZ5QSAw4cPY8uWLbBarSgsLJzz/mKIdMyFymkymVBdXa2s671z507ls9XV1XNWBpPrYCJ8mA9NTJPk9/vxwgsvKEP9w/HAlpWK3d4//5dEa0SjHzE/pOFc2vvdc1rSM2EABkd8yvdRkiR4PB7lcZxEIA/Ccjqd2L17NwCgr68vpqygvG60zWaDzWZTWnSNjY3o7OxEZ2enslpXYWHhnNa6y+WadzUvh8OBwsLCkDJFcxz5c4WFhVFpON8xZ59f3n9mCz5cOT0eD0pKStDZ2Ynh4WHU19dHtX7EfMx3zIXK2dnZqQTxZ599VmmB22w2AJgzB4gkSTh//nzcfVgITQRqg8GAXbt2zZt2vGdTPpYYgnJQoA4lGv2I+SEN53LNGzlIh9tPzkokMvUttyAPHDig/EjHmvYGgulUl8sFt9uNPXv2oK6uLuT9ffv2AQifnpYDeyTCTSIVzXEaGxvx8Y9/PGoN5zum2Wye857b7Z5zvtnldDgcSksWgJIydjgcC5YnEvMdM5pyztwu09HRAZfLheLiYhQXFytLo+7fvx/Hjh2Luw8LoYlADSw8FD4nS4/7NhkBABfcE7gyz52+FqEAww9pGMqavOiWxox2P17kvmmn0xmSwj148GBMx3G5XNi7d68yTqexsREWiwWVlZUoKSlBSUmJ0lqX10+QW3ANDQ2wWCzKDYPH45lzo3D8+PE5fcwLHSfS5+ZjvmOaTCaUlpaioaFBeW9m8JqvnMePH1eCp9PphNvtRmlpadTlClfOSMecr5wOhwNWq1U5Tn19veJfbW0t+vr6lD8AsNvtqKqqSogPC6GJQD1z5qf5eGDLzTRR+zlqVctEqx8RGdJwLg9sKcT6/BxEatsJANbn5yjfS8YSO8+yyWRSWk+NjY1oaGhAQ0NDyGCiaI8zewEjs9kckvqe+b7dbkd9fT2Ki4tht9uV/msA2LNnjxJkZCK1uOc7jvy5LVu2zNHQarUqqduSkpKQwVbzHbOxsRGNjY3KVNGHDx9esJxyF4A8gGvPnj04fPiwckMxX1kivbfQMSOV02KxYOXKlSgpKQm57vPBGMOqVatw4MCBiOdLBAJLVK1fJLEsph0tjDGIogiDwTBvyqf1zHV8+ifBKRife+gWfO2jd8fl/OlOtPoRkclEDX0+H/r7+7FlyxZlDu5YkUd9AwgZVCYr9IPnzHhq+/rg++9NCTlzMonFII9arqioQF1dXcgTK4n8bCoQLw21Sqz6zfcdiSXWaaJFDUQ3Abp5cwH0uqD41E8dCrUE+SEN5/LU9vX4wXNmrMsP/RFbl58TEqQJQstootNMFEU0Nzfj6aefVqZhDMfybAO2b1iBty+O4MzVMQyPT6Ng2ZIkljQ1iVY/IjKkYWSe2r4e5XetQ3u/G9e8PqzJC6a75ZtmGTn1negBZZkMaciHWvppIvUdC1978SR+9EZwFaGGT5Vg1/vWJb0MBJEOxCP1rRYejwdGo1H5n6zPEtqCUt8xEMsglJABZZT+BkCLzccD0pAfxljIet48yAF2MYGW57NqE08NtYha+mkiUIuiiCNHjkTVR1h2681AfYwCNYDY9CPCQxrywxiD1+ulIMMBaciHWvppIlBnZWXhwx/+cFR9gwXLluCOdXkAgBOXRzAyQTNJxaIfER7SkB+dTgej0agsE0jEDmnIh1r6aeJqSZIEt9sd9dSD7y8OTicqMeBY/41EFi0tiFU/Yi6kIT/yI27UGlw8pCEfaumniUAdCATQ0dGBQCAQ1f6PFK9S7LY+CtSx6kfMhTTkhzGG8fFxCjIckIZ8qKWfJh7PysrKwpNPPhn1/g+YCqETgi3qtr6hBJYsPYhVP2IupCE/Op0O+fn5ahdDIR1HfaeahumGWvppokUtSRKuXbsWddpxRU4W7n5v3u8zV8dw3TuVwNKlPrHqR8yFNOSHMQa/3x+31kx1dXVMc1/PpKGhYcGlKGVmL8ihJvHWUGuopZ9mAnVPT09MP5IPF99c9vJ3Lm2nvxejHxEKaRgfJicn43asysrKOXNyA8GWcl1dHTwez5yVl4DgIgzhlk+MhLwGcrxwOBwoLi5GQUEBysvL513dS171qbi4WJkbO54aahE19NNEoDYYDHjiiSdiWr0oJFBrPP29GP2IUEhDfuK9zKXdbkd5efmc7Q0NDejr60NDQ0PYQL1v3745yzfOh5weD3esWPF4PMrKTsPDwzCbzdi5c2fE/cvLy2G1WtHX14fy8nLs2rWLZiXjIBlLrYZDE4FakiRcunQpptZM6eZCLNEH5dH6gLLF6EeEQhrywxjD9PR03NKODocj7NKEN24Ev+/y7GMzWWit6Ejs3r1bWS4yHC6XC5WVlaisrAy7n9PpVPab2Tqvra1VluWM9Bl5veSqqiocP34c165do9T3Iol3HYwWzQTqvr6+mH4kc5focf8tRgDA+RsTuDg8kaDSpT6L0Y8IhTSMD1NT8Rsv4nQ6YTab4XK5YLPZlL7k2tpalJSUoKqqak7L+eDBgygrKwvZ5nK5lLWs5WNZrdaQIG82m2G32yOWxWq1ora2Fvv370dHRwfKy8uV4OvxeHDgwAHlOHLglc8NIOzNw8w1tWVMJhPefffdhaQh5iGedTBaNBGoDQYDHn300ZjTjg/TY1oAFq8fcRPSkB9BEJCXlxeXtKMcpD0ej2LLwRBAxDWo+/r65gQ/h8OBqqoqlJeXo7KyEhUVFbDZbHMGm0UafOZ0OlFbWwuTyQSj0Yja2lrU19cr6y/v3LkT1dXVYT9bW1sbcalNt9sddlT61NQUpb4XSTzrYCxo4ldDkiQMDAygqKgophllHt66Et92BO3f9d3As6VFCSpharNY/YibkIb8yGnHJUuWcP9QOhzBL/bx48eVVnNnZ+eCnwv3SNazzz4LIBhwd+/eDSAY0KNFHtAmp7wtFgtMJhMaGxtDzjuburo6JbCHo7CwcM7nXC4Xli9frqypTMRGPOtgLGjiF2Ox/YP3bjIiN0sPADh6dkiz/TrUv8oPaRgf/P74TOlrt9uxd+9euFyuiK3VcITrt5YD94EDB5SgP99I7HBUVlbC5XLB7XZjz549cx7p2rdvX8jr6urqeYM0EExzz+679ng82LRpU0xlI0KJVx2MBU20qA0GAx5++OGYP7fEoMMDWwrx+pnruOadwtlrY9i2Ni8BJUxtFqsfcRPSkB9BELB8+fK4HOv48eNKn7H8LLXNZltwNHdxcTFcLpfSCpZHiO/evTukT/jgwYNz0ueFhYVzjgcEW7l79+5VjllVVQWn06kEbwDYv3+/sn91dTXKy8vDllW+QTAajSEt9YqKCjQ0NMBisVCg5iCedTAWNNGiDgQCOHv27KKmb9yx7WY/dWuvNh/T4tGPCEIa8sMYg8/n485suVyukAFZcp+yPLCsrq4OVqs1ZICZjMViQUdHh/LaZDIpwbuxsRENDQ1oaGiYE6SdTmfYR8HkY8x+nttsNqOxsRGdnZ3o7OxU3nc4HGhoaEBlZSUEQVD+5BHee/bsQUNDg3Icu92O+vp6FBcXw2634+DBg3HRUKvEqw7GiiZa1IwxDA8P49Zbb435s4/ethp46RQAoPXMdXzuA1viXLrUh0c/IghpGB/icaMzu/93ZvrY4XDAYrEoaeyGhoaQlvbsdPLMgD8fBw4ciCnFHgmLxTJvkJjpFxAs78zR5owxTExo9wmWeKDGzbYmWtQGgwFlZWWLGnG7bc1yrFuRAyC4kpbPr70WEY9+RBDSkB9BELBs2bKEDuKxWCxwOBxK67ezs3PO4LHq6up5n4mejZyOXszz1/EmGRpmMmrpp4lAHQgEcPr06UXdCQmCoKS/fX4Jx88Nx7t4KQ+PfkQQ0pAfxhgmJycTnnbs6OhQJkKZnSYHgsHc7XZHPWBs37598w76SibJ0jBTUUs/TQRqgG9+1kdvW63Yrb3X41GctIPmB+aHNOQnGT+QLpcLBw8eRF1dHerr68PuE+k563CkSpCWoSDNhxr6aSIPp9frcf/99y/68x/YugqCADAW7Kf+H0/fGcfSpT68+hGkYTwQBAFLly5N6DnkKUKjCcTptsQlkBwNMxm19NNEizoQCKCnp2fRaceCZUtwz3vLXp6+4sXVUV8cS5f68OpHkIbxIBlpx9nPK2calPrmg1LfKc6jMx7TOqLRx7QIItOpra2dM3KaINRGE4Far9dj+/bt0Ov1iz5GSD/1GW31U8dDP61DGvIjCAJyc3NpxDIHpCEfaukXU6B2Op0oKSmJal/5wXyHw6HMq6sWgUAAXV1dXGnH+4qMyMsOdum/cXYIkqSd1FE89NM6pCE/8jPAlLZdPKQhH2rpF3Wglp8blGfAmQ+Hw4HGxkZUVVXBZDLF5UF/XnJzc7k+n6XX4eGtKwEA7vFp9FweiUex0gZe/QjSMB5QS5Af0pAPNfSLetT3QnPgzqS6ulpZiWb2zDhqoNfrcccdd3Af59HbVuPQiasAgFdPX1cGmGU68dJPy5CG/MhpR2LxkIZ8qKVf3Puo5RVgjEYjnE6n8riDmoiiiI6ODoiiyHWcx29fo9gt717jLVbaEC/9tAxpyA9jDOPj45S25YA05EMt/eIeqJ1OJwoLC2Gz2WAymZS5ciMxNTWF0dHRkD/g5nyqgUAgrC2KYogtLx8YzhYEAStWrFDE9fv9c2zG2BwbQIi9bkU27lgXXD3r7QEPrnjGAQSXMJR/gGfagUAgxI6nT3LZZ9qL8UmSpBA7nB+MMeTn50MQhIzxKdnXiTGGgoICiKKYMT7JtiRJik+yzRibY8s+RbLlY8xny4Pxot0/FjucH7H6NDw8HLNPibRn+wEEszvyPom6Tsn0KVl1T7Zl/WL5bKTvU7TEPVC73W5l2j2j0YiqqipUVlZG3H/fvn3Iz89X/oqKigAAPT09AIBTp07h1Kngohjd3d3o7e0FAHR1daG/vx8A0N7ejoGBAQBAW1sbBgcHAQCtra0YGhqCXq/HuXPn4PV6AQDNzc2K3dTUBJ/PB1EU0dTUBFEU4fP50NTUBADwer1obm4GEJwMYUv2mFL2ht8eBQAMDg6ira0NADAwMID29nYAQH9/P7q6ugAAvb296O7ujptPANDS0qJMY8jjU0tLCwBgaGgIra2tc3y6fPmyomOm+JTs6+T1erF161YcPnw4Y3ySb6rHxsaUH5/R0VHlR2q2DQR/TGfejMtaiKKo2H6/H2Njwe/Z9PQ0xsfHFTsQCEAQBPh8PmWmN5/PB58vOLfB5OSkYk9MTGBqagoAMD4+junpaaW8fr8f1dXVMJlMyg+m1+tVblZGR0dj9qmhoQHXr1+Pyqevfe1rAIINFXmRjHj4JPsxn085OTkJvU5q+BTLdeLxSRAEMMaUskfj0/T0tPIdmvl9Ono0GD+igsXIQh+x2+3MaDTO+UxnZ2fY/X0+HxsZGVH+BgYGGADmdrsZY4yJoshEUZxj+/3+EDsQCES0/X4/O3LkCJuammKMMTY9Pc0kSQqxJUmaYzPGQuxAIMCOnb3GNltfZJutL7Kqn3Uo2/1+/xxbFMUQO5wfi/VJLvtMe7E+zbTD+TE1NcXeeOMNpXyZ4FOyr9PU1BQ7evQom5iYyBifxsfH2cmTJ9n4+LjiUyAQUPyYbcs+RbLlY0SyA4EA83q9yraF9l/IttvtrKKiYk7Zh4eH2fPPP8/cbjfr6+tTtrvdbmX72bNnQ8re0dHBGhsbo/bJ7XazmpqauPgxn38mk4kZjUZmsVjYjRs3FA1nX5uzZ88yi8XCTCaToslir1OibbnskexE1L2ZdU7WL5r9Jycn2YkTJ9j4+DhjLPQ7dOPGDQaAjYyMsIWIe4s61v7o7OxsrFixIuQPgJLi0uv1YW2DwRBi63S6iLZOp0NRUZGyclFWVpYyck+2BUGYYwMIsXU6HUq2rELhsiUAgKNnb2BalKDT6ZRjz7T1en2IHU+f5LLPtBfr00w7nB8GgwGbNm2CTqfLGJ+SfZ0MBgM2btyI7OzsjPFJtnU6neKTbAuCMMeWfYpky8eYz56pTTT7z2fb7XaUl5fPKXtDQwNcLhf2798Pl8ulbJdf79+/H/39/SFlr62tRUVFRdQ+FRQUAAhmPnj9CGePjIygtrYWfX19GB4ehtlsVnydWdfk8u7atQtWqxV9fX0oLy/Hrl27uK5TIu1w9S0ZdW/29zaWz0b6PkXLogL17FVjnE6nskaryWRCaWmpso/L5Qq7MHoy0el02Lx5syIQD3qdgMfem/xkbEpExzk39zFTnXjqp1VIQ34EQQi50eHF4XAoq2TN5MaNGwCCc3nP/K2LtH2xA2Z379694HKZLpcLlZWVqKysDLtvpMdlXS4XrFar8rq2thZOpxP9/f1zNJSPIa8SVlVVhePHj0e9OpiWiHcdjJaofzUcDody4fft2xdSaWa/bmxshNVqRUNDA2pra1V/PEsURbS2tsZtxO3jd9wc/X34VOaP/o63flqENOSHMQav16sM0uHF6XTCbDbD5XLBZrOhrq4OQDColZSUoKqqKuSx1EjbDx48iLKyspBju1wuNDQ0wGq1Kse3Wq0hwc9sNi/422i1WlFbW4v9+/ejo6MD5eXlSqPI4/HgwIEDYT9nNptDlueUP7Nly5Y5GsqNqZmYTCblM8RN4l0HYzlxSjEyMhJ13j5aAoEAu3jxotI3wItnYpqZ9r7ENltfZI9949W4HDOVibd+WiQTNZycnGQnT55kk5OTSTmfJElsampK6QfkobOzk5nNZjY8PMwaGxtZX18fM5vNizpWTU3NnDE49fX1jLHgmB35uCaTifX19YXsN985Ozs75+zf19fHKioqmNlsZmazec77kaiqqlL6xGdrWF9fzyoqKuaUy263R3VsLRFrHZzvOxJLrNPEMpc6nQ4bN26M2/Hyc7NQurkAx/rd6B8ah+v6GEyrl8ft+KlGvPXTIqQhP4IgYMmSJXE5ljyt8fHjx5XWsTxJU6x4PJ45S14+++yzAIKt9t27dwMA+vr6Yjqu3F0oZystFgtMJlPIoiHRpKfr6upgNBqVdbFna1hYWDjnOC6XC4WFhTGVVwvEsw7GgiY6zERRREtLS1zTjjvvnDH5yenMTn8nQj+tQRryw2Y8dsOL3W7H3r174XK5uKc4nt1nLW8DgAMHDig3Aovp862srFQmkdqzZ4+SnpdZaFnO6urqkCAdTsNwae5UmKgqFYlnHYwFTQRqnU6H7du3x3UgzxN3rFXs5pNX43bcVCQR+mkN0jA+xGv6RrklXVVVpbSuFxrYFYni4uKQQCf3TcuDbOWAd/DgwTmfna/V6nK5sHfvXtTU1KCqqgqNjY2wWCyorKxESUkJSkpKlNZ6OKqrq1FeXo6qqqqQ7bm5ufB4PMqNw+yWe0NDgzIPBjEXNaYQFViybw0WYHR0FPn5+RgZGVEe1UpVnvin1+C6Pg6dAHT8TwtWLs9Wu0gEkTR8Ph/6+/uxZcsW5OTkqF2cqJFHRMspZKvVirKyspCAdePGDZSVlcHlcqGmpmbB49XX1yutVofDoaSOjUajEsRnB0yn0wmHw7Hg8ReDw+FAeXn5nO2dnZ0wm82orKxEWVmZcm45s+ByuWA2m7F//34K1HFgvu9ILLFOE4Ha7/ejpaUFTzzxhPIcZjx4/uXT+OHrwX6nuop78GxpUdyOnUokSj8tkYkaJjtQS5IEr9eLvLy8hGUmHA4HCgsLceDAAdTW1qKhoQGFhYULLkpUWVkZ0nccDVarVZkdLVkkQ8NMJlb94hWoNXGl9Ho9ysrKlAkd4sWu981If5+4EtdjpxKJ0k9LkIb8CIKAZcuWJfQZVovFEtIa7ezsjKplWV1dHVPqXE47J7sfOBkaZjJq6aeJQK3T6VBYWBj3O8j7NhmxJi+Y7m7tHcL4VGYOFEqUflqCNORHEAQYDIaE/0h2dHQoE6HI6xYshMVigdvtjnrA2L59+5RUeTJJloaZilr6aeJXw+/346WXXlImeI8XOp2A8ruCreppUcKR3utxPX6qkCj9tARpyI8kSfB4PMoiDInC5XLh4MGDqKurQ319fdSfm90HPR9qBGkgeRpmKmrpp4nnqA0GA3bs2BHT3KrRsut96/Dvxy4AAJpPXMVT29fH/Rxqk0j9tAJpyI8gCMjLy0toa0Z+LCmWoDuTVB+AlQwNMxm19NNEi1oQgutRJ0Lc95tWIi87+OPrOHUV/kDm3akmUj+tQBryIwgC9Hp9QjVc6LnkdCcZGmYyaumniUDt9/vxwgsvJCTtuMSgU+b+HvWJaO/PvEU6EqmfViAN+UlG2rG2tjbm0dvpBKW++VBLP00EaoPBgF27diUs7Thz9PehDBz9nWj9tABpyA9lJfghDflQSz9NBGogtrU/Y+Wx29dgiT4o5aETVyBJKfVoelygAMMPaUgQxGLQRKAWRRFNTU0Jm2d5ebYBj763RvXV0Sl0XhhOyHnUItH6aYFM1jBZcyapNc9yJkEa8hGrfvHSWROB2mAw4Omnn05oi+bD96xT7Je6BxN2HjVIhn6ZTiZqKM+wNjExkZTzUdqWH9KQj1j1k78bvLMRZs6vxgKIopjQH8mdd67FEr0O0wEJTe8M4u8+chd0usz5MiRaPy2QaRrq9XoYjUZcuxZcPW7p0qUJDQCMMTDGIAgCBZpFQhryEa1+jDFMTEzg2rVrMBqN3DMSZs6vxjyIoojm5mY8/fTTCZtneUVOFh69bTUcp67imncKx88P44EtmbGeazL0y3QyVcN164KZJDlYJxLGGCYnJ5Gbm0tBZpGQhnzEqp/RaFS+IzxoYlGOZPGrrov40oG3AQB/8vCt+N+//z6VS0QQySEQCNCjZwQxg6ysrHlb0rHEOk20qBljyoonibyLzNT0d7L0y2QyXUO9Xp/wBUcyXcNkQBryoZZ+mhhMJooijhw5kvARt3L6G4CS/s4EkqVfJkMa8kMa8kMa8qGWfpT6jjOU/iYIgiAWgtajnoUkSXC73UmZ9k1OfwPAS+8MIpABk58kU79MhTTkhzTkhzTkQy39NBGoA4EAOjo6EAgEEn6umenv694pHHPdSPg5E00y9ctUSEN+SEN+SEM+1NKPUt8J4LdvX8Zf/KILALC7tAi1FfeoXCKCIAgilaDU9ywkScK1a9eSlq6w3LkWy5YER8A29QzC50/vu9dk65eJkIb8kIb8kIZ8qKWfZgJ1T09P0sTNXaLHk9uDD7l7fSJee/d6Us6bKJKtXyZCGvJDGvJDGvKhln6U+k4Qr5+5jj/+STsA4EPb1+EHz5WoXCKCIAgiVaDU9ywkScKlS5eSehf0SPFKrFq+BABw+PQ1jPrSd9YmNfTLNEhDfkhDfkhDPtTSTzOBuq+vL6niGvQ6fOSeDQCAaVHCKz1XknbueKOGfpkGacgPacgPaciHWvpR6juBdF0Yxse+3wYA+MDWVfj5f3tQ5RIRBEEQqQClvmchSRLOnz+f9Lug+4qM2LxyKQCgrW8IV0d9ST1/vFBLv0yCNOSHNOSHNORDLf00E6jV6FcQBAHP3BtMf0sM+HXXpaSeP15QvxY/pCE/pCE/pCEfadFH7XQ6UVIS2+hlq9UKj8cT02fijcFgwMMPPwyDIfmLhf2BeZNi2zovIsV6GqJCTf0yBdKQH9KQH9KQD7X0izpQ22w2AMFgHS1OpxN1dXWxlyrOBAIBnD17VpVp825dtQxltxYAAHqvjeGdSyNJLwMvauqXKZCG/JCG/JCGfKilX9SBuqKiAmazOaaDu1wumEymmAsVbxhjGB4eVq01W1ES2qpON9TWLxMgDfkhDfkhDflQS7+YR30LghBVIW02GyoqKlBcXIzOzk4Yjcaojp9Jo75lvD4/yv6PAz6/hPzcLLT/z53INujVLhZBEAShEqqP+vZ4PFEH5qmpKYyOjob8AVBSC4FAIKwtimKILXfuh7MDgQBOnjwJvz846Yjf71duNmSbMTbHBhBiS5IUYsuLh0eyA4EARFFEXk4WnrxrLQBgZNIP+4kr3D7JZZ9pJ8onv9+PkydPKmWd6V88r1MyfQp3nRLpk9/vx+nTp+Hz+TLGp2Rfp+np6ZB6mAk+Jfs6iaIYUg8zwadkXic5lkxPT8fFp2hJSKA+ePAgLBZLVPvu27cP+fn5yl9RUREAoKenBwBw6tQpnDp1CgDQ3d2N3t5eAEBXVxf6+/sBAO3t7RgYGAAAtLW1YXBwEADQ2tqKoaEhAME0/MhIsH+4ubkZXq8XANDU1ASfzwdRFNHU1ARRFOHz+dDU1AQA8Hq9aG5uBhC8AWlpaQEADA0NobW1FQAwODiItrbg89IDAwNobw9OHdrf34+uruAqWg+uvenzT1vfjYtPLS0tykC9RPp08eJFpSwzfert7UV3d3dcr1OyfIp0nRLl08jICCYnJ3H48OGM8SnZ1+n8+fO4ePFiRvmU7Os0NjaGyclJHDp0KGN8SvZ1unr1alzi09GjRxEtcU99OxwOlJaWKi3qhVLfU1NTmJqaUl6Pjo6iqKgIbrcbBQUFyl2JXq8PsUVRhCAIiq3T6aDT6SLafr8fer1esQ0GAwRBUGwgeIcz087KygJjTLHl1rlsS5IEg8EQ0Q4EAmCMwWAwYNov4oPffB2DIz7odQLe+PIHsb5gWVr7FOnakE/kE/lEPpFP8/vkdruxcuXKqFLfCQnULpdLeV1dXY2amhrs3r07qsFoieijDgQCOHXqFO68807o9er1DX/z0Lv4v6+eBQB85UN34E8/WKxaWWIhVfRLZ0hDfkhDfkhDPuKpXyyxblEPg83ug3Y6nTAajTCZTHNS3tXV1aiurk6J0d9qU1GySQnUBzoGUP2oCYIgqFwqgiAIIpWJuo/a4XDAarUCCPYry89Vh3sNBIO5/Ax1bW1tTM9fxxu9Xo/t27erfgd566pleL9pJQCgf2gcb7rcqpYnWlJFv3SGNOSHNOSHNORDLf00sShHIBBAd3c37rnnHtUr6AtvXcIX//MtAMAz923Adz9xv6rliYZU0i9dIQ35IQ35IQ35iKd+qj+elYrk5uaqXQQAwJPvW4eCpVkAgJffuYLh8WmVSxQdqaJfOkMa8kMa8kMa8qGGfpoI1Hq9HnfccUdK3EHmZOmV+b+nAxL+Kw0W6kgl/dIV0pAf0pAf0pAPtfTTRKAWRREdHR0xPWCeSP7wgSLF/s/2Cyk/nV+q6ZeOkIb8kIb8kIZ8qKWfJgK1IAgoKChImRHWW9fkhSzU0Xl+WOUSzU+q6ZeOkIb8kIb8kIZ8qKWfJgK1Xq/H1q1bUyrd84myWxT7P9ovqFiShUlF/dIN0pAf0pAf0pAPtfTTRKAWRRFtbW0ple758D3rsSIn+Bj7i92DcKfwoLJU1C/dIA35IQ35IQ35UEs/TQRqnU6HjRs3QqdLHXdzsvR4tjTYVz0tSjjQMaByiSKTivqlG6QhP6QhP6QhH2rpp4nnqFOVc0PjeOybrwEANhpz0VrzOPQ66jsiCILIdOg56lmIoojW1taUS/fcumoZPnjbagDAJc8kXj19TeUShSdV9UsnSEN+SEN+SEM+1NJPE4Fap9OhuLg4JdM9n37/ZsX+2ZvnVSxJZFJZv3SBNOSHNOSHNORDLf00cbVSuV/msdvXYFNBcKab1jPX0T80rnKJ5pLK+qULpCE/pCE/pCEfaumniasliiJaWlpSMt2j1wl47qGbreqfp2CrOpX1SxdIQ35IQ35IQz7U0k8TgVqn02H79u0pexf5bGkRlhiCZTt4fADjU6n1JUp1/dIB0pAf0pAf0pAPtfTTxNXS6XRYs2ZNylbOwmVL8My9GwAAXp+IXzovqlyiUFJdv3SANOSHNOSHNORDLf00cbX8fj8OHToEv9+vdlEi8plHtij2vxw9B0lKnafm0kG/VIc05Ic05Ic05EMt/TQRqPV6PcrKylJ62ry7NqzAw8UrAQD9Q+NoSaFHtdJBv1SHNOSHNOSHNORDLf00Eah1Oh0KCwtTPt3zuQ/cbFX/5Gi/iiUJJV30S2VIQ35IQ35IQz7U0k8TV8vv9+Oll15K+XTP47evwZZVywAAbX03cPLyqMolCpIu+qUypCE/pCE/pCEfaumniUBtMBiwY8cOGAwGtYsyLzqdgM88cqvyOlVa1emiXypDGvJDGvJDGvKhln6aCNSCIGDFihVpsQbrx82blFW1fvPWZVwb9alcovTSL1UhDfkhDfkhDflQSz9NBGq/348XXnghLdI9y7IN+KMHgxOgTAck/OToOXULhPTSL1UhDfkhDfkhDflQSz9NrJ7FGIPP50NOTk5a3EleG/XhA7WvYjogIS/bgKN7n8CKnCzVypNu+qUipCE/pCE/pCEf8dSPVs8KQzr1yaxZkYOPl2wCAHinxJSYVjSd9EtVSEN+SEN+SEM+1NBPE4FaFEU0NTWl1fy21Y+aIC9N/ZM3zsHnD6hWlnTUL9UgDfkhDfkhDflQSz/NpL5FUYTBYEirdM8X/sOJl7oHAQBf++j2kMU7kkm66pdKkIb8kIb8kIZ8xFM/Sn2HIR3vID//wWLFrm/tgxiQVCtLOuqXapCG/JCG/JCGfKihnyYCtSiKaG5uTrsKun1jPnZsWwUAGHBP4qV3BlUpR7rql0qQhvyQhvyQhnyopZ8mUt/pzO/6buAP978JALhjXR5e/uIOSlkRBEGkOZT6ngVjDKOjo0ixe5KoeMhUiPuKjACA01e8eO3M9aSXIZ31SxVIQ35IQ35IQz7U0k8TgVoURRw5ciQt0z2CIODzj93sq/7Bq31JL0M665cqkIb8kIb8kIZ8qKUfpb7TAEli2PWdVpy9NgYA+I89D+Lh4lUql4ogCIJYLJT6noUkSXC73ZAk9UZN86DTCfjzx7cqr79j701q6iXd9UsFSEN+SEN+SEM+1NJPE4E6EAigo6MDgYB6k4bw8nv3bkDx6uASmO3n3Dh69kbSzp0J+qkNacgPacgPaciHWvrFlPp2Op3Ys2cPOjs7F9zP4XAAADo6OrB//34YjcaozkGp78j85u3L+MtfdAEASjYXwPan76cR4ARBEGlIQlLfNpsNQDAIL4TD4UBNTQ1qampQVlaGnTt3RnuahCBJEq5du5b26Z4P370e29YsBwB0nh/Gkd6hpJw3U/RTE9KQH9KQH9KQD7X0izpQV1RUwGw2L7if0+nEvn37Qj7ndDrhcrkWV8I4IEkSenp60r5y6nUCvmjZprz+lv1MUvqqM0U/NSEN+SEN+SEN+VBLv5hHfQuCsGBwsNlsqKioABAM3CUlJRgeHo4q/U2p7/mRJIYPffcI3r3qBQD8y2fK8Pjta1QuFUEQBBELqo/6loM0ABw4cAAWiyVikJ6amsLo6GjIHwClsz4QCIS1RVEMseU7nHC2JEm4cOGC8uyb3+9XbjZkmzE2xwYQYkuSFGLLx4tkBwKBEDsePklSAH+58+YI8G+/16pOpE+iKOLChQuQJCkhPs20/X5/iJ2u12m2T6Io4tKlS5iamsoYn5J9nfx+f0g9zASfkn2dAoFASD3MBJ+SeZ0kScLAwIDyWV6foiWho749Hg9sNhsaGxsj7rNv3z7k5+crf0VFRQCAnp4eAMCpU6dw6tQpAEB3dzd6e3sBAF1dXejv7wcAtLe3Y2BgAADQ1taGwcHgnNitra0YGhqCJEl46623MDw8DABobm6G1xtskTY1NcHn84UsX+bz+dDU1AQA8Hq9aG5uVvxpaWkBAAwNDaG1tRUAMDg4iLa2NgDAwMAA2tvbAQD9/f3o6goO/urt7UV3d3dcfCpZq8cd6/KCn784gpbT1xLq04ULF/DOO+9AkqSE+TQ0FOxvb2lpgcfjyYjrNNOn4eFh9PX1weFwZIxPalwnOe2YST4l8zqNjo6ir68Pr7zySsb4lMzrJEkSTp48iXfeeYfbp6NHjyJaEpL6lqmurobVaoXJZIq4z9TUFKamppTXo6OjKCoqgtvtRkFBgXJXotfrQ2xRFCEIgmLrdDrodLqItt/vh16vV2x5mTLZBqAsXybbWVlZyrJmWVlZyp28bEuSBIPBENEOBAJgjCl2OD8W65P91DVU/1tw9P1d61fgV3/6IJYsyUprnzLxOpFP5BP5RD6F88PtdmPlypVRpb4TFqjr6upQUVEBk8mk3P2o1UctpyuKioqg02XGo+OMMfze/30DPZeCXQXf/cR9eOa+jQk5Vybql2xIQ35IQ35IQz7iqV/C+6jlwCsze1S3zWaD2WxWgvTBgwejfo46EUiShEuXLil9A5mAIAiwPnWH8vobh97FlJiYh/AzUb9kQxryQxryQxryoZZ+UbeoHQ4H7HY76urqlOej5UFjlZWVKCsrQ01NDVwuF4qLi0M+azQalf7hhaBR37HxqR8fU56n/tuP3IXPfWCLyiUiCIIgFiKWWKeJRTkCgQD6+/uxZcsW6PX6uBwzVei5NIKPfO8NAEDB0iy89uXHkZ+bFddzZLJ+yYI05Ic05Ic05COe+qn+eFaqwRjD8PBwRq7Bun1jPj563wYAwPCEHz98Pf7LYGayfsmCNOSHNOSHNORDLf000aLOdAbcE9j5T69jOiAh26DDa19+DOvzc9UuFkEQBBEBalHPIhAI4PTp0xm7YkxR4VJ86v2bAQBTooRv28/E9fiZrl8yIA35IQ35IQ35UEs/TQRqAJicnFS7CAnlzx/firyc4HODts6LOPPeFKPxItP1SwakIT+kIT+kIR9q6Eep7wzi+6+dRd0r7wIAHrt9Nf71Mw+oXCKCIAgiHJT6nkUgEEBPT0/Gp3s++8gWrM/PAQC89u51tJy+GpfjakW/REIa8kMa8kMa8qGWfpoI1FohJ0uPvU/fqbz+xxdPYVqkiQ0IgiDSGUp9ZxiMMeyufxPt59wAgL0fugPVHyxe4FMEQRBEMqHU9ywCgQC6uro0ke4RBAF/93t3QRCCr7/XchbXvD6uY2pJv0RBGvJDGvJDGvKhln6aCNQAkJurneeKt2/MxyfKbgEAjE2J+MZ7A8x40JJ+iYI05Ic05Ic05EMN/Sj1naHcGJvCY998DV5fcHHyF77wCO4tMqpbKIIgCAIApb7nIIoiOjo6IIqi2kVJGiuXZ+NLltuU1//7tycgSYu7J9OifvGGNOSHNOSHNORDLf00EagFQUBBQQEEueNWI3zq/Zuxbc1yAEDXBQ/+q+vSoo6jVf3iCWnID2nID2nIh1r6Ueo7wznSex2f+nE7AKBw2RIc/usPomDZEpVLRRAEoW0o9T0LURTR1tamyXTPjm2r8eG71wMA3OPTeP7l0zEfQ8v6xQvSkB/SkB/SkA+19NNEoNbpdNi4cSN0Ok24O4e/+727kJcdnAf8wPEBtPe7Y/q81vWLB6QhP6QhP6QhH2rpR6lvjfDTtnP46m9OAAC2rVmOl/5yB5YY6MtKEAShBpT6noUoimhtbdV0uue5hzbjnk35AIDea2PYf8QV9WdJP35IQ35IQ35IQz7U0k8TgVqn06G4uFjT6R69TsDXP3Y3dO8NVvznw724cGMiqs+SfvyQhvyQhvyQhnyopZ8mrhb1ywTZvjEfn3lkCwBgSpTwty/0IJqeD9KPH9KQH9KQH9KQD7X008TVEkURLS0tlO4B8NfltylLYb5+5jp+8/blBT9D+vFDGvJDGvJDGvKhln6aCNQ6nQ7bt2+nu0gAy7IN+Pvff5/y+qu/OYHr3ql5P0P68UMa8kMa8kMa8qGWfpq4WjqdDmvWrKHK+R673rcOH74n+Gy1Z8KPv/31/Clw0o8f0pAf0pAf0pAPtfTTxNXy+/04dOgQ/H6/2kVJGf7h99+HwvdmKHvlxBW89M5gxH1JP35IQ35IQ35IQz7U0k8TgVqv16OsrAx6vV7toqQMK5dn4x+f2a68/rsXTmBoLHwKnPTjhzTkhzTkhzRcPP1D4/hl12VV9NNEoNbpdCgsLKR0zyw+fM96PH33OgDB6UW/+sKJsPuRfvyQhvyQhvyQhrExOR3ALzsv4tn63+Hxb76G//GrHvh0uZT6TgR+vx8vvfQSpXvC8A/PbEfB0iwAwEvvDOKl7rkpcNKPH9KQH9KQH9JwYRhj6L7owf/81Tt44P848DeNbyvTLksM+PovWpKunyamEGWMwev1Ii8vj5Z3C8Nv3r6Mv/xFFwBg5bIlOPSlR7FqebbyPunHD2nID2nID2kYGc/ENH7ddQkHjl/EqcHROe8Xr16GZ0uLsGtbPm5dv5Jbv1hinSYCNTE/jDH86c87cejEVQDAzjvW4Ed/XEpfZIIgMhpJYvid6wYOdAzglRNXMC1KIe/nZunxkXvW4xMPFMF8S3zXoaa5vmfh9/vxwgsvULonAoIg4P987G6sWh4cBX749DX8+7ELyvukHz+kIT+kIT+kYZDBkUl873AvPvjNV/HJHx3Db96+HBKk7ysy4vk/uBsd/8uCb1Tei5LNhRAEQTX9NNGiZozB5/MhJyeHWonzcPjUVXzup8cBADlZOrz0lztQvHo56RcHSEN+SEN+tKxhQGJoPXMd/37sAlpOX4U0K/IVLM3Cx+7fhN1lRbh9XV7YY8RTv1hinYHrTGmEwaAZVxfNzjvX4rmHbsHP37wAn1/CX/3nW/jl5x9Gll4g/eIAacgPaciP1jS85vXhYMcAftE+gEueyZD3BAHYsW01dpcWwXLXGmQbFn7sSg39Ykp9O51OlJSULLify+VCXV0dbDYb6urq4PF4Flu+uCCKIpqammh+2yj4n0/fBdPqZQCAdy6N4LuHz5B+cYA05Ic05EcrGkoSwxu9Q/izf+/Ew/ta8M3mMyFBet2KHHxx5zYcqXkcP/vsA/jwPeujCtJq6Rd16ttms8FkMqGkpGTBFZdKSkrQ2dkJIBi0rVYrGhsboypQolLfoijCYDBoLt2zGN65OIKPff8oRIlBEID/3PMQzEUrSD8OqA7yQxryk+ka3hibgq3zIn7RfgHnZi3jKwjAB29bjU8+uBmP374aBn3sQ7TiqV9CUt8VFRVR7edyuUJem0wmOByOaE+TMGRxiYW5e1M+/nrXbah75V0wBnzp4Fv4ZVUZ1hWE77chooPqID+kIT+ZpiFjDO39bvz7sQt4pecKpgOhI7dXLc/G7rJN+ETZLSgqXMp9PjX0i/uob4fDgcLCwpBthYWFcDqd8T5V1IiiiObm5oxP98ST6keL8eCW4HW87PFhz/7XNT9SlAeqg/yQhvxkkoZjUyL+7XfnsOvbrdjd8GZw5PaMIP3I1pX4/ifN+N3eJ/DlJ++IW5BWQ7+4B+pI/dFutzvs9qmpKYyOjob8AUAgEFD+h7NFUQyxJUmKaGdlZeHpp59W5mf1+/1K+l62GWNzbAAhtiRJIbZ8sSLZgUAgxI6nT3LZZ9rx9EkAwzcr7lZmLesZ1uGnb15Ma5/UvE56vR7PPPOMUtZM8CnZ10mn0+HDH/4wsrKyMsanZF8ng8EQUg/T0afTlz34u1/34KGvH8bfvnACvdfGIFOwNAt7dmyB/a8ewc8/9yA+tH0dIAXi5lNWVhY+8pGPKFOI8voULUl7jjpSAN+3bx/y8/OVv6KiIgBAT08PAODUqVM4deoUAKC7uxu9vb0AgK6uLvT39wMA2tvbMTAwAABoa2vD4GBwGszW1lYMDQ2BMYbDhw9jeHgYANDc3Ayv1wsAaGpqgs/nCxkk4PP50NTUBADwer1obm5WfGhpaQEADA0NobW1FQAwODiItrY2AMDAwADa29sBAP39/ejqCs741dvbi+7u7rj5BAAtLS2Kronwqf+EE9/efZ9yrZ5/5TRefPNkWvuk1nUaHh7G6OhoRvmkxnVqb28HYyyjfErmdZIbQ+nm02uvv45fvtmL5350DE/981H87M3zGJu6GejKbi3Ap7YG8OqXHkbNrm04eez1hPjEGENPT09cfDp69CiiJebnqAVBmHcwWUNDA+rr65XBZABQUFCAxsZGWCyWOftPTU1haurmqk2jo6MoKiqC2+1GQUGBclei1+tDbFEUIQiCYut0Ouh0urB2IBDAoUOHUF5ejuzsbOXOUn6AXe5vmNn3IN89yYMHsrKyIEkSAoGAYkuSBIPBENEOBAJgjCl2OD8W65NOp1NaarKdKJ+ef+kEfnjkHABgXX4OfvNn78ea/KVp7VOyr5MkSXA4HHj88ceRm5ubET4l+zr5fD44HA48+eSTSosm3X1K9nVijMFutyv1MNV98kyKaOy8hH/73TlcHvFhJrlZevz+vevxxw/firs25CflOjHGcOjQIVgsFuTk5HBdJ7fbjZUrVyZmCtGFArXL5UJlZeWcQN3f3w+j0bjg8WkK0dRDDEj45I+O4dh7E9M/dvtq/OSPy6DTZd6oUYIg1Kf7ogc/bTuP33ZfnjOt5+aVS/GphzajsqQI+e91zaUjCZ/wxOPxhARdp9MJo9EIk8kEk8kUsq/L5UJpaWlUQTpRSJKklJmWd4sdnQD8w1Nb8Ec/G8ON8Wm89u51/OD1Pnzh8a1qFy1toDrID2nITyprOC1KeOmdy/hp23m8NeAJeU8QgMdvX4NPv38zHt22WrVGglr6RX0mh8MBq9UKINivbLPZlPdmv25sbITVaoXNZkN9fX3Uz1AnikAggI6ODiU1QcRGIBDAudNv41uVd0N+dPCbze+i5fRVdQuWRlAd5Ic05CcVNbwxNoXvHe7FI7Ut+NKBt0OC9IocA/bs2ILX/vtj+MmflOGx29eomslTSz9NzPVNxI9/PtyLb9nPAACWZxvwqz97GNvW0vPVBEHExrtXvPiXo/34VdclTM1Kb9+5fgX++P2b8cx9G5G7ZOEZw9IRmut7FpIkYWhoCKtWrUq5dE86MFO/P398K05fGUXTO1cwNiXicz89jhe+8AgKli1Ru5gpDdVBfkhDftTWUJIYXjtzDT954xzeODsU8p5OAJ583zp85pEtKLs1vktKxgu19NNEbZckCT09Pcrza0RszNRPpxPwzcp7cdf64B3gBfcE/uzfnfAHSNv5oDrID2nIj1oajk+J+NnvzmHnt17HZ//1eEiQzssOprdf//Lj+MFzJXhgS2FKBmlAPf0o9U0sikueSTzzf49iaCz4aN1zD92Cr330bpVLRRBEKnHJM4mftZ3DL9ovYNQXOsHH5pVL8ZmHb0VFaRGWZ2siuRsCpb5nIUkSBgcHsX79ekqZLYJw+m005qL+UyX4w4Y3MR2Q8PM3L+C2tXn49PtvVbewKQrVQX5IQ36SpeHbAx40HHHhlZ4rCMxa+Pnh4pX47CNb8Pgda6BPs0c81aqDmgnUfX19WLt2LX3BF0Ek/Uo2F+Drf3A3/nvj2wCAr/7mBNbkZeOp7evVKmrKQnWQH9KQn0RqKPc/17/uUuZckFli0OGj923AZx7ZgjvXp2+mVK06SKlvgpvnXz6NH77eByD4hfzZZx/AQ6aVKpeKIIhkMCUG8ELXZew/4gqZdxsAVi1fgk89dCs++dAtWLU8W6USpiaxxDpN3JZKkoTz58/TIJRFspB+1qduxx+YNwIITlqw52fHcfrKaDKLmPJQHeSHNOQnnhqOTPrx/dfOYkftq6j5ZXdIkDatXobn/+BuvGF9Al+0bMuYIK1WHdRMoL506RJ9wRfJQvoJgoDaj9+Dx25fDQDw+kT88U/acXF4Iuz+WoTqID+kIT/x0PCSZxL/+OJJPLzvMOpeeRfXvDfXaii7tQD7P10Kx5c+iE88cAtysjLrGWi16iClvom4MTEt4g/3H8Pb780sZFq9DLY/fRiF9Iw1QaQ9PZdGsP+ICy92D4YMEBME4Kn3rcOeR00w31KgYgnTC0p9zyIQCODs2bMpNW1eOhGtfkuXGPAvf1IG0+plAADX9XE896Nj8ExMJ6OYKQ3VQX5IQ35i1ZAxhtYz1/Hcj47hI997Ay+8dVkJ0tkGHZ576Ba8+jeP4QfPlWgiSKtVBzURqBljGB4ennfVLyIysehXuGwJfvbZB7B2RbBP6uTgKJ778TGMTPgTXcyUhuogP6QhP9FqGJAYXuy+jI987w18+iftIROUFC5bgr+ybEPbV57A1z56N25dtSzRxU4Z1KqDlPomEkLf9TF8ouFNXH+v/+qeTfn4t889iPzc9F2WjiAynWlRwq+6LuKHr7vQPzQe8t7mlUvx33aYUGHelLHzbycTSn3PIhAI4PTp05QyWySL0a949XL8Ys+DymjP7osj+PRP2jHq02bLmuogP6QhP5E0nJgW8eM3+vHBb7wK6y/fCQnS92zKxw8+aUbL3zyGTz20WdNBWq06qIkJTwBgcnJS7SKkNYvRb+uaPPxiz4P4RMObuDE+jbcHPPj0j9vxs889gBU52mtZUx3khzTkZ6aGIxN+/PR35/AvR/sxPKt76uHilfizx7bika0rU3bubTVQow5S6ptIOO9e8eIP978J93hwUNn7NqzATz/7QMY8W0kQ6ca1UR9+/EY/fv7meYxPh7YOy+9aiz97rBj3a2BwmJpQ6nsWgUAAPT09lDJbJLz63b4uD//+3x5UHtM6cXkUlT/8HQbc2nnOmuogP6QhP/3Xvfj8j1/HB+peRX2rSwnSep2Aj963AYf+6lHs/3QpBekIqFUHNZP6JtTlzvUrcLD6/fjUj49hcMSH/qFxVPywDf/2uQdx29o8tYtHEBnNmatefP/Vs/jtrGeglxh0qCzZhOpHi3HLyqUqlpCYD0p9E0nlkmcSn/rxMbiuBwerGJdm4V/+pIzu4AkiAZy8PIrvtfTi5Z4rIduXLdHjuYc243Mf2II1K3JUKp22odT3LAKBALq6uihltkjiqd9GYy4aq9+PuzfmAwA8E3780f5jsJ+8yn3sVIbqID+kYfS8c3EEe352HE//85GQIF2wNAt/uD0PR2oew96n76QgHSNq1UHNpL5zc3PVLkJaE0/9Vi7Pxn/seRBVP+vE71w3MOkPoOrfjmPvh+7Anh2mjB1hSnWQH9Jwft4a8OCfD/ei5fS1kO2r87JR/agJu0s34tL5fprPgAM16iClvgnV8PkD+O+Nb+PF7kFl2+7SIvzjR7djiUETyR6CiAud54fx3cO9aD1zPWT72hXZ+PwHizNygYx0h1LfsxBFER0dHRBFUe2ipCWJ0i8nS4/v/eH9+OLObcq2A8cH8OmfZN784FQH+SEN59Le78ZzPzqGj/+gLSRIb8jPwT9+dDte//Lj+JNHtihBmjTkQy39NJH6FgQBBQUFGZtSTTSJ1E8QBHyp/DaYVi/Dl23dmBYlvOly45n/dxQ/fK4Ed67PjKwK1UF+SMMgjDH8znUD/3y4F2+63CHvbSrIxRce34qPmzeFzUqRhnyopR+lvomUwXlhGFU/O46hsWBrOtugw9c+uh2VpUUql4wg1IcxhjfODuGfD/ei49xwyHubVy7FFx7fio/dvxFZek0kStMeSn3PQhRFtLW1UbpnkSRLP/MtBfj1Fx5RRoRPiRK+bOvGV37ZDZ8/vUf6Uh3kR6saMsbw2rvX8PEftOFTP24PCdKmVcvwrWfvxeG//iCeLS1aMEhrVcN4oZZ+mkh963Q6bNy4ETqdJu5L4k4y9dtUsBSNf/p+/MOLJ/Efxy4AAP6zYwDvXBrB9z9pxuaV6bmkHtVBfrSmIWMMR8/ewLfs78J5wRPy3tY1y/EXT2zFR+7ZAL0u+jSs1jSMN2rpR6lvImX5L+dF/I9fvQOfXwIALM824Ku/dxcqSjZRHxuR0bT3u/FPze/iWH9oH/Tta/PwFzu34kPb18cUoInUg1LfsxBFEa2trZTuWSRq6fcH5k144QsfgOm9henHpkR82daNz//cqSzwkS5QHeRHCxp2XRjGp358DM/W/y4kSN+2djm+/0kzXv7ijphb0TPRgoaJRC39NJP6Li4upnTPIlFTv9vX5eE3f/EB/P1vTqCx8yIA4JUTV9B5YRjfqLgHj92+JullWgxUB/nJZA17Lo3g2/YzODxrohLTqmX4omUbV3CeSSZrmAzU0o9S30Ta8ErPIPb+1zsh6+b+0YO34CsfukOT61sT6c+Zq158235mzlzcRYW5+OLO2/DR+zbAQKO4MxJKfc9CFEW0tLRQumeRpIp+T21fj0N/9SgevW21su0/jl1A+bdexyuzfuhSjVTRMJ3JJA1d18fwl7/owpPfaQ0J0hvyc/D1j92Nlr95DBUlm+IepDNJQzVQSz9NtKglScLQ0BBWrVpFKZ9FkGr6Mcbwb2+ex/Mvn8bEjEXvn3zfWvzDM9uxNgUXGkg1DdORTNBwwD2B7x7uxX85L2LGapNYnZeNP398Kz7xQBGyDYmb6jMTNFSTeOoXS6zTRKAmMpOLwxP421/34NV3b06dmJdtwF/vug3PPbSZJn4gUobLnkl8r+UsGo8PQJwRoQuXLcHnP1iM5x7ajNwlNBe3lkhY6tvlcqGurg42mw11dXXweDzz7tvQ0KDs63K5YjlVXPH7/Th06BD8fv/COxNzSFX9NhUsxU/+pAzf/cR9WLlsCQDAOyXi7397Ek9/9wiO9F5f4AjJI1U1TCfSUcNroz589YUePPaN1/CL9gtKkM7PzcKXn7wdR2oex55HTUkL0umoYSqhln4xtahLSkrQ2dkJIBiIrVYrGhsbw+5bV1eHmpoa5XV1dTXq6+sXPEeiUt8ejwdGo5HSPYsgHfTzTEzj602ncPD4xZDtljvX4n99+E7cukrdiVLSQcNUJ500vDE2hR++3oef/e48pkRJ2Z6XbcBnP7AFn9uxRZUBkOmkYSoST/0Skvp2uVyorKxUAjUAFBQUYHh4OOz+M4M6oG6gJrTDWwMe/O/fnMBbAx5lW5ZewCcf3IwvPL4Vq/Oy1SsckfF4JqbR0OrCv7adCxk/kZulx2ceuRVVj5pgXLpExRISqUJCUt8OhwOFhYUh2woLC+F0OsPuX1hYiJKSErhcLjgcDpSXl0d7qrjj9/vx0ksvUbpnkaSTfvcVGfFfn38Y3959L9auCAZlf4DhX9vO4dG6V/GNQ6cxMpl8P9JJw1QllTUc9fnxHccZ7Kh9Fd9/rU8J0tkGHf7bB7bgiPVx1Dx1h+pBOpU1TAfU0i/qQB2pP9rtdofdLqfEi4uL0djYiIqKirD7TU1NYXR0NOQPAAKBgPI/nC2KYogtSVJE22Aw4P3vf7+SqvD7/ZATCbLNGJtjAwixJUkKseUh+pHsQCAQYsfTJ7nsM+1E+aTT6fDwww/DYDCkhU8Aw0e2r0XL3zyGP3+8GLnvrcU76Q/g/73ahx21Lfh/r/bCM+5L2nXS6XTYsWOHUu5EXKdMrHszbUEQQuphKvg0PiXi+6+exY7aFnzH0QvvVLCsS/Q6fPqhzWj56x34Xx+5C4VLs1LiOun1+pB6SHUvNp8MBgMeeeQRZQpjXp+ihbuTIlIAdzgcqK2tRX19PRoaGlBdXR12v3379iE/P1/5KyoKLmnY09MDADh16hROnToFAOju7kZvby8AoKurC/39/QCA9vZ2DAwMAADa2towODgIAGhtbcXQ0BAEQUBHRwdGRkYAAM3NzfB6vQCApqYm+Hw+iKKIpqYmiKIIn8+HpqYmAIDX60Vzc7Pia0tLCwBgaGgIra2tAIDBwUG0tbUBAAYGBtDe3g4A6O/vR1dXFwCgt7cX3d3dcfMJAFpaWhT9E+nTxYsXcerUKQiCkFY+Lcs24NP3F+LrD2fhTx6+FYb3ZnYa9Yn4xqEzePj5Fnyr+V28dao34T7J6S273U51b5E+nTt3DmfPnoUgCKr75PGO48s/ehmP1r2KukPvYmQy+KNr0An4wHoBr375Mfz5w2vw7lvtKXWdxsbGsGLFCrz88stU9xbhkyAIuHLlCt555x1un44ePYpoibqPuqGhAfX19XP6qBsbG2GxWEL2dblcqK+vR21trfJa7rM2mUwh+05NTWFqakp5PTo6iqKiIrjdbhQUFCh3JXq9PsQWRRGCICi2TqeDTqcLawcCATQ1NeGpp55CdnY2/H4/DAYDBEFQbADKHZNsZ2VlgTGm2JIkIRAIKLbcWo9kBwIBMMYUO5wfi/VJp9Mpd8iynSifpqam8Morr+Dpp5+GTqdLW58u3BjDdxy9+PVbl0OeYc3N0uMTZZtQ/cGtWL08KyE+SZKEV155BeXl5cjNzaW6twiffD4fDh06pNRDNXwa903D5ryM77/Wh2vem79bOgH42P2b8BdPFGNjfnbKXifGGF5++WWlHlLdi80nxhiamprw5JNPIicnh8snt9uNlStXJmcwWX9/P4xGY8i+NpsNAELS3XV1dbBYLDCbzfOeJxGDyRhj8Pl8yMnJoVWXFkGm6dd3fQw/fK0Pv+q6FPJMq0En4Om71+NPHrkV5lsK4nrOTNNQDdTU0B+QYOu8iO8d7sXlEZ+yXRCAj9yzAV/cuQ1b1yxPapkWA9VDPuKpXyyxLupFOWa3hF0uF0pLS5Ug7XQ6YTQaYTKZYDabUV9fHxKob9y4sWCQTiTy3RWxODJJv+LVy/GNynvxV+W3YX+rC79ov4ApUYIoMfzm7cv4zduXcW+REZ95+FY8ffd6LDHE5zGWTNJQLZKtoRiQ8Ou3LuOfD/fignsi5L2n3rcOXyq/Dbevy0tqmXihesiHGvrF9By1nNIuKytDR0cH9u7dqwTqyspKlJWVKc9OOxwOJXgDgMVimRPsw5GIFrXf70dTUxOefvppZGXR4g2xkun6XfdO4adt5/Af7RfmLJ+5ctkS/IF5I3aXFWHrmsX/IGe6hskgmRpKEsOL7wziO44zcF0fD3nviTvW4K/Lb8P2jfkJLUMioHrIRzz1oylEZyH3Tch9GURsaEU/nz+A37x9Gf9y9BxODY7Oeb9kcwF2lxbh6XvWY3l2bHfVWtEwkSRDQ8YYDp24im/bz+Ddq96Q93ZsW4Uvld8W926RZEL1kI946keBehbUL8OH1vRjjKHj3DB++rtzsJ+4iumAFPJ+TpYOljvX4pn7NuKDt62OKjWuNQ0TQSI1ZIzh1Xev4Vv2M+i5FHqT9sCWQvxN+W140LQyrudUA6qHfKjVR62JOeREUURzc3NMz60RN9GafoIg4IEthfh/f2TGsf+xE3/3kbtw+9qbaW+fX8KL3YPY87PjKPs/Duz9r268fuY6pkUp4jG1pmEiSISGjDG8fuY6Pvr9Nnz2X4+HBOn7bzHi5597EAeqHsqIIA1QPeRFLf000aImCF4YY3hrwANb50U0vTOI4Ym5MxMtzzbgsdtXo/yutXjs9jXIz6U+wFSFMYa2vhv4lv0MOs+HToO8feMK/HX5bXj89jXU6iQSBqW+Z8EYg9frRV5eHn3xFgHpF4o/IOGN3iG88NYlNJ+8GjKns4xBJ+Ah00rsvHMNdmxbBdOqZRgbGyMNOYhXPXzTFQzQ7f2hsyresS4Pf2W5DU++b23GXiP6LvMRT/0oUM/C7/ejubkZu3btopGOi4D0i8zEtIjWM9fRfPIqDp+6FnEe8bUrsnFrzhQqd2zHo3esxZq8nCSXNP3hrYfHz7nxbccZHD17I2T7tjXL8VeW2/Ch7eug02V28KLvMh/x1I8CNUGogBiQ0HFuGM0nr8B+8iouDk9G3Pe2tctRdmshSm8tQOnmQmwqyKUWToLoujCMbzt60XomdH1y06pl+KJlGz5yzwboMzxAE6kHBepZ0BqsfJB+scMYw7tXvThyZghvnB3Csf4b8PkjDzZbk5eN0lsLULK5EPffYsSd61Ygd4k+iSVOfWKth+9cHMG3HWfQcvpayPbNK5fiizu34ffv3QCDXlv1mb7LfKT8etTJIlGp75aWFjzxxBOU7lkEpB8/Y5NT+MkLLZhcsRltLjfeuTQSMt/4bHQCsHXNcmzfkI/3bczH9g0rcNeGFcjL0a7+0dbDE5dH8B1HL+wnr4Zs31SQi798Yhs+Zt6ILI0FaBn6LvMRT/0oUBNEiuP1+fHWgAfHzw2j8/wwui4MYzzMoLTZbDTmYuua5bht7XJsW5uHbWuC/2OdgCUT6bk0gu+19OLQidAAvSE/B3/+xDZUlGyK23SwBMELBepZSJKEoaEhrFq1itI9i4D042chDQMSw+kro3CeH8Y7l0bQc2kUZ656QxYNmY81edm4pXApblm5FJsLl+GWlbm4pXAZNq9cipXLlqR9/3dAYjjmuoHr169h9eo1eNC0UulXdl4YxvcO9+LVd0P7oNeuyMafP74Vz5YVIdtA3QgAfZd5iad+CVmUI52RJAk9PT149NFHqXIuAtKPn4U01OsEvG9DPt634eb80VNiAGeujKHn8gh6Lo3g1OAoeq+OwTs1d7KFa94pXPNO4fisZ4IBYNkSPTYYc7EuPwfrVuRgXX4O1q64aa/Lz0Hh0iUpO+L5lZ5B/P1vT+KGdxJ/fXcAX/6tCyvzcvFHDxThWP8w3jg7FLL/mrxs/OkHi/FHD96CnCwK0DOh7zIfaumniRY1QWQKjDFcHZ1C7zUvzlwdw9lrXvReHcO5GxMYGpta+AAR0OsEFCzNQsHSJShctgQrly9BwdIlWLlsCQqWBe3l2Qbk5RiwPMeAFTlZQTvbkNABWa/0DOLzP3cimh+pDfk5+PxjxagsLaIATaQ81KKehSRJGBwcxPr16+kuchGQfvzES0NBEJRW8I5tq0Pem5gWccE9gfM3JnDhxkTQdk/gwo1xDI74MDXPFKcBiWFobBpDY9MR94lEbpYey3OCQTw3S4+cLD2yDTrkZOmRk6VDjkGP7Bnbsg06GHQC9HoBBp0AnRD8r9cJ0OuC7+l0AnQC8A+/PakEaQEMuXpgIhDa8r+lcCm+8HgxPnY/9UEvBH2X+VBLP80E6r6+Pqxdu5Yq5yIg/fhJhoZLlxhwx7oVuGPd3LtzxhhGJv0YHPHhyqgPV+X/oz4MjvhwY2wa7vFp3BifmvcxsnBM+gOY9Adw3bv4Fn00MAiYCDPe7usfuxsf2LYqoefOFOi7zIda+lHqmyCIECanA7gxPgX3+LTyNzLpx5hPhHdKhNcnwuvzY+w9e+y9194pET5/AP5Acn9SvvuJ+/DMfRuTek6C4IVS37OQJAkDAwMoKiqiu8hFQPrxk04a5i7RY9OSpdhUsHRRnw9IDD5/AFOiBJ8/8N6fBJ8YULZLEoMoMeV/YM5rCWevjeOnvzunHFcAw235DL0jAiTcTH/TdKzRk071MBVRSz/NBOpLly5h48aNVDkXAenHj5Y01OsELMs2YFk233ECEkPzySu4MuIDA5ClAx7fwNDvFTAtAQKAdfk5eGBLYTyKrQm0VA8TgVr6UeqbIIiURR71DSBk5Lfcnv7Bc2Y8tX190stFELzEEus0cUsVCARw9uxZBAILz/xEzIX044c0XBxPbV+PHzxnxrr8HOgFhsfWS9ALDOvycyhILwKqh3yopZ8mUt+MMQwPD+PWW29VuyhpCenHD2m4eJ7avh7ld63Dsb7ruH7uNKqevgMPFq+mFa8WAdVDPtTSj1LfBEEQBJFkKPU9i0AggNOnT1O6Z5GQfvyQhvyQhvyQhnyopZ8mAjUATE5Oql2EtIb044c05Ic05Ic05EMN/Sj1TRAEQRBJhlLfswgEAujp6aF0zyIh/fghDfkhDfkhDflQSz9NBGqCIAiCSFco9U0QBEEQSSat5/qW7xtGR0fjdkw5XbF9+3bo9bRObayQfvyQhvyQhvyQhnzEUz85xkXTVk65QO31egEARUVFKpeEIAiCIBKL1+tFfn7+vPukXOpbkiRcvnwZeXl5EIT4zDw0OjqKoqIiDAwMUDp9EZB+/JCG/JCG/JCGfMRTP8YYvF4vNmzYsOACHynXotbpdNi0aVNCjr1ixQqqnByQfvyQhvyQhvyQhnzES7+FWtIyNOqbIAiCIFIYCtQEQRAEkcJoIlBnZ2fjq1/9KrKzOVey1yikHz+kIT+kIT+kIR9q6Zdyg8kIgiAIgriJJlrUBEEQBJGuUKAmCIIgiBQm5R7PWiwulws2mw0mkwkulwtVVVUwGo1h93U6nQAAs9kMl8sFj8cDs9mcxNKmHk6nE3v27EFnZ+e8+8Wis9aIVkOqf5FxOp1wOBwAgI6ODuzfvz9i/aK6GJ5YNKS6GB5ZP4/Hg46ODuzevTuiLkmphyxDMJvNit3X18cqKioi7ltVVcUAMADMYrGw4eHhJJQwdWlsbGSdnZ0smuoQi85aIhYNqf5Fpra2NsSeWd9mQ3UxPLFoSHUxPEajkXV2djLGGKuvr2cmkynivsmohxkRqPv6+uZURqPRGHH/+vp6Njw8TJVyFgsFmVh11iLRBGqqf+Hp7OwMqU99fX0MAOvr65uzL9XF8MSiIWNUFyNht9sVu76+PuLNTrLqYUb0UTscDhQWFoZsKywsVNI64TAajZQmi5HF6EyEh+rfXMxmM/bv36+89ng8ADCnzgFUFyMRi4YyVBfnYrFYFLuxsRHV1dVh90tWPcyIPmq5Ms7G7XZH3N9mswEI9uFUV1fDZDIlqngZQ6w6E+Gh+heZiooKxT5w4AAsFkvYIEJ1MTLRaghQXZwPp9OJAwcOoLy8HFVVVWH3SVY9zIhAHYlIIs7s7DeZTCgvL0dfX1/yCpZhRNKZCA/Vv4WRA8hCA/PCfY4IEo2GVBcjYzabYTKZYLVaYbPZQm6AFiLe9TAjUt9Go3HOHYzb7Z53tKiMPFJv5jYiPLHqTISH6t/CWK1W2O32iHWL6uLCLKQhQHVxIYxGIyorK1FZWRk2+CarHmZEoJ7ZnzCT0tLSOducTid27tw5Z/t8fThEkFh0JsJD9W9h6urqYLVaYTKZ4PF4wv5AUl2cn2g0pLoYHofDgYKCAuW13BUQ7gYmWfUwIwL17D4Vl8uF0tJS5a7G6XQqIptMJtTW1ir7OhwOVFRU0J34e8z+Qs/WbiazdSaCLKQh1b/I2Gw2JeXo8Xhw8ODBiN/jmVBdvEksGlJdnEthYWFIAHY6nTAajcpz1GrUw4yZ69vlcqG+vh5lZWXo6OjA3r17FbEqKytRVlaGmpoaADcnBDAajejr6wuprFrE4XDAbrejrq4ONTU1KCsrU/pjZms3n85aJhYNqf6Fx+Vyobi4OGSb0WjE8PAwAKqL0RCrhlQXw2Oz2ZSUtt1uR21trRKU1aiHGROoCYIgCCITyYjUN0EQBEFkKhSoCYIgCCKFoUBNEARBECkMBWqCIAiCSGEoUBMEQRBECkOBmiAIgiBSGArUBEEQBJHCUKAmCI1TXV09Z5IMgiBSh4xePYsgiIWprKyk5SEJIoWhFjVBaBy73Y7y8nK1i0EQRAQoUBOExnE4HLTqFEGkMDTXN0FoHEEQwBiDy+VSVgaSFxwgCEJ9qEVNEBrG6XTCbDbD4/Eo9oEDB9QuFkEQM6DBZAShYRwOBwDg+PHjyrKcnZ2dahaJIIhZUIuaIDSM3W7H3r174XK5UF1drXZxCIIIA/VRE4SGKSgowPDwMACguLgYfX19sNlsSuuaIAj1oRY1QWgUl8sFi8WivK6oqIDNZoPZbFaxVARBzIZa1ARBEASRwlCLmiAIgiBSGArUBEEQBJHCUKAmCIIgiBSGAjVBEARBpDAUqAmCIAgihaFATRAEQRApDAVqgiAIgkhhKFATBEEQRApDgZogCIIgUhgK1ARBEASRwlCgJgiCIIgUhgI1QRAEQaQw/x+LcSHZx7Yg1AAAAABJRU5ErkJggg==" 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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\Adam\\OneDrive - Zachodniopomorski Uniwersytet Technologiczny w Szczecinie\\numerical_function_spaces\\src\\numerical_function_spaces\\orlicz_spaces\\norms.py:54: RuntimeWarning: invalid value encountered in multiply\n", " return 1 / k * (1 + (np.nansum(Orlicz_function((k * x[0, :])) * x[1, :]) ** p_norm)) ** (1 / p_norm)\n" ] }, { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 27 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:38:00.043387Z", "start_time": "2024-09-04T22:37:58.379659Z" } }, "cell_type": "code", "source": [ "for x in [x_1, x_2, x_3, x_4]:\n", " osm.plot_kappa(Orlicz_function, x,\n", " k_min=0.5,\n", " k_max=3,\n", " dk=dk,\n", " p_norm=np.inf,\n", " show=True)" ], "id": "1beaee5e50b331af", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" 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" 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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\Adam\\OneDrive - Zachodniopomorski Uniwersytet Technologiczny w Szczecinie\\numerical_function_spaces\\src\\numerical_function_spaces\\orlicz_spaces\\norms.py:52: RuntimeWarning: invalid value encountered in multiply\n", " return 1 / k * (max(1, np.nansum(Orlicz_function((k * x[0, :])) * x[1, :])))\n" ] }, { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 28 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:38:01.284392Z", "start_time": "2024-09-04T22:38:00.076730Z" } }, "cell_type": "code", "source": [ "for p_norm in [1, 2, np.inf]:\n", " osm.plot_kappa(Orlicz_function, x_4,\n", " k_min=k_min,\n", " k_max=k_max,\n", " dk=dk,\n", " p_norm=p_norm,\n", " save=False, show=True)" ], "id": "6df6c14528d6115", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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JgiAIosrUfepbkiRMTk6qs8YQpUMu+UEu+UEu+UEu+aGXS0MGakEQ0NbWpk5+QpQOueQHueQHueQHueSHXi4p9U0QBEEQVaYhUt/j4+OUyuEAueQHueQHueQHueSHXi4NGahNJhMOHDigPj2LKB1yyQ9yyQ9yyQ9yyQ+9XFLqmyAIgiCqTEOkvsfGxiiVwwFyyQ9yyQ9yyQ9yyQ+9XBoyUJtMJnR0dFAqhwPkkh/kkh/kkh/kkh96uaTUN0EQBEFUmYZIfY+OjlIqhwPkkh/kkh/kkh/kkh96uTRkoDaZTDhy5AilcjhALvlBLvlBLvlBLvmhl0tKfRMEQRBElan71HcikcCLL76IRCKhd1UMD7nkB7nkB7nkB7nkh14uDdmjVhQF0WgUVquV0jllQi75QS75QS75QS75wdNlMXHPkIGaIAiCIIxMQ6S+v/nNb1IqhwPkkh/kkh/kkh/kkh96uTRkj5oxhuXlZbS0tNCj28qEXPKDXPKDXPKDXPKDp8ti4p6lrG/SCUEQKEXOCXLJD3LJD3LJD3LJD71cGjb1/fzzz1MqhwPkkh/kkh/kkh/kkh96uTRs6jsWi2Hr1q2UyikTcskPcskPcskPcskPni7rfjAZAFgshsza1yTkkh/kkh/kkh/kkh96uDRkoJYkCcPDwzR3LQfIJT/IJT/IJT/IJT/0cmnY1LckSbBYLJTKKRNyyQ9yyQ9yyQ9yyQ+eLhsi9U1nh/wgl/wgl/wgl/wgl/zQw6UhA7UkSRgZGaEfHwfIJT/IJT/IJT/IJT/0cmnI1DdBEARBGJm6T30zxrC0tIQaOMcwPOSSH+SSH+SSH+SSH3q5NGSgliQJL730EqVyOEAu+UEu+UEu+UEu+aGXS0p9EwRBEESVqfvUt6IoiEQiUBRF76oYHnLJD3LJD3LJD3LJD71cGjJQy7KMyclJyLKsd1UMD7nkB7nkB7nkB7nkh14uKfVNEARBEFWmIVLfd+7coVQOB8glP8glP8glP8glP/RyWVSgDoVC6OzszFguiiIGBgbg9/sxMDCAaDTKq35ZURQFV65coR8eB8glP8glP8glP8glP/RyqTn17ff7YbPZ0NnZmXEPWWdnJ6anpwEkg7bH48HQ0JDmSlDqmyAIgmgkKpL6djqdsNvtGctFUUx7bbPZEAwGtX5sSSiKglu3btEZIgfIJT/IJT/IJT/IJT/0cln2NepgMIj29va0Ze3t7QiFQuV+dE4URUE4HM4q61Z0DdM3I3j5+jyWYomK1aFeyOeSKA5yyQ9yyQ9yyQ+9XJYdqHNdj45EIjm3icfjWFpaSvsHQB3yLsty1rIkSZBlGRaLBU8++SRMJpO6PCXOd+kGPveVV/H5P/kufvBmVF2eSCTUlH2qzBjLKANIKyuKklZOzUiTqyzLclpZa5s2tyNXOZFIcG2TyWTCk08+CYvFUjdt0ms/AcDHP/5xWCyWummTXvsJAI4fPw5BEOqmTXrtJ7PZjOPHj6ttqIc26bWfLBYLPvaxj6mPuCy3TVqp2KjvfAPK+vr60Nraqv47ePAgAODKlSsAgGvXruHatWsAgMuXL+P69esAgJmZGczOzkJRFIyNjeHmzZsAgPHxcdy+fRsAcPetN9XveXViSq3HyMgIlpeXAQDDw8OIxWJpDwGPxWIYHh4GACwvL2NkZERtx+joKABgfn4eY2NjAIDbt29jfHwcADA3N4eJiQkAwOzsLGZmZgAA169fx+XLlzW1CQAmJiYwNzeX0aaxsTHMz88DAEZHR7m26c6dO7h48SIURambNum1ny5duoTXXnsNiqLUTZv03E83b96EKIp11SY99tPS0hJu3rxZV23Saz8pioLvfve7uHr1atltunTpEjTDimTzJl6vl9nt9rRlVquVBQKBnJ8Ri8XY4uKi+m9ubo4BYJFIhDHGmCRJTJKkjHIikWCSJLFEIsFefvllFo/H1eWyLDPGGPvyyOvskOcb7JDnG+zF799Sl6+vrzNFUdLKiqJklBljaWVZltPKiUQibzlVv3ztyNamze3IVV5fX+fapng8zl5++WX1O+qhTXrtp7W1NdVlvbRJr/20trbGXnnlFRaLxeqmTXrtp/X1dfbKK6+w1dXVummTXvspFXtisVjZbZqfn2cA2OLiIitE0ROeCIKQNupbFEX09PSoo74BoK2tDbOzs7BarZo+k+eo7/NjIn53OHkG94c/b8cz799f1ucRBEEQBG8qPuHJxrS2zWZLe08URRw7dkxzkC4FWZZx48aNrNO4bd1iVstrCZoyrxD5XBLFQS75QS75QS75oZdLzYE6GAzC4/EASF5j9vv96ntDQ0PweDzw+/3wer1F3UNdCowxLCwsZH0m6LYmCtTFkM8lURzkkh/kkh/kkh96uay7ub6/efk2/tVfJm8N+zennsDZ47YCWxAEQRBEdan7ub5lWcbrr7+eNf2wbcuDJlGPujD5XBLFQS75QS75QS75oZdLQwZqAFhbW8u6fCulvosml0uieMglP8glP8glP/Rwaan6N3LAbDbj6NGjWd9Lu0a9ToG6EPlcEsVBLvlBLvlBLvmhl0tD9qhlWcaVK1dypL4fBOoY9agLks8lURzkkh/kkh/kkh96uTRkoM4HjfomCIIg6gnDpr6PHDmS9T1KfRdHPpdEcZBLfpBLfpBLfujl0pA9almWMTMzQxOecCCfS6I4yCU/yCU/yCU/9HJpyEANANu2bcu+vImuURdLLpdE8ZBLfpBLfpBLfujh0rCp78cffzzre01mEywmAZLCqEetgXwuieIgl/wgl/wgl/zQy6Uhe9SSJGFyclJ9VuhmUr1qukZdmEIuCe2QS36QS36QS37o5dKQgVoQBLS1takP795M6jp1LKFUs1qGpJBLQjvkkh/kkh/kkh96uTRs6vuxxx7L+f7WpuT5B6W+C1PIJaEdcskPcskPcskPvVwaskctSRLGx8cp9c2BQi4J7ZBLfpBLfpBLfujl0pCB2mQy4cCBAzCZsldfDdQJmR7tVoBCLgntkEt+kEt+kEt+6OXSkKlvk8mEQ4cO5Xx/44M54pKS9ppIp5BLQjvkkh/kkh/kkh96uTTkKZYkSRgbG8ud+t4w6ckqpb/zUsgloR1yyQ9yyQ9yyQ+9XBoyUJtMJnR0dORMP+zY8iBRsLpOP858FHJJaIdc8oNc8oNc8kMvl4ZNfR84cCDn+9upR62ZQi4J7ZBLfpBLfpBLfujl0pCnWJIkYXR0NGf6YUfzg/OPlTj1qPNRyCWhHXLJD3LJD3LJD71cGjJQm0wmHDlyJGf6gXrU2inkktAOueQHueQHueSHXi4Nm/reu3dvzvepR62dQi4J7ZBLfpBLfpBLfujl0pCnWIlEAi+++CISiUTW97fToy41U8gloR1yyQ9yyQ9yyQ+9XBoyUJvNZnR1dcFszn5/9MZR3ytxCtT5KOSS0A655Ae55Ae55IdeLg2b+m5vb8/5/vbmjdeoKfWdj0IuCe2QS36QS36QS37o5dKQPepEIoFvfvObOdMP1KPWTiGXhHbIJT/IJT/IJT/0cmnIQG2xWPDUU0/BYsmeEEgf9U096nwUckloh1zyg1zyg1zyQy+XhtxzgiBg165dOd9PG/VNgTovhVwS2iGX/CCX/CCX/NDLpSF71IlEAs8//7ymUd+rlPrOSyGXhHbIJT/IJT/IJT/0cimwGngO5NLSElpbW7G4uKjpbIUxhlgshq1bt0IQhIz3f7wUw4d/7yIA4OT7Hob3F45xr3O9UMgloR1yyQ9yyQ9yyQ+eLouJe4bsUQPIe42AZiYrDrp2xQ9yyQ9yyQ9yyQ89XBoyUEuShOHh4ZzzrW7fQjOTaaWQS0I75JIf5JIf5JIferk0bOpbkiRYLJac6YfH/99vIZZQ8Pi+Frzw68d5V7lu0OKS0Aa55Ae55Ae55AdPlw2R+i50RpO6l5pGfReGzrT5QS75QS75QS75oYdLQwZqSZIwMjKSV1jqFq37MfqB5kOLS0Ib5JIf5JIf5JIferk0ZOpbC6f+4CVcvb2ELWYT/uF3f5LLZxIEQRAED+o+9c0Yw9LSEvKdY+zcmuxRr8sK4hKN/M6FFpeENsglP8glP8glP/RyyS1Qi6IIn88Hv9+PgYEBiKLI66MzkCQJL730Ut70Q8uG2cko/Z0bLS4JbZBLfpBLfpBLfujlklvqe2BgAL29veprt9sNr9eradtKpL5/7a9m8PzfvwkAuPTcJ3Fo9w4un0sQBEEQ5aJL6ntwcJDXRxVEURREIhEoipJznZ0betTL1KPOiRaXhDbIJT/IJT/IJT/0csktULe3t6OzsxOiKCIYDKK7u5vXR2cgyzImJychy7mvPbdsbVLL92nSk5xocUlog1zyg1zyg1zyQy+X3AL10NAQAKCjowNDQ0NwOp05143H41haWkr7B0BtvCzLWcuSJEGWZTQ1NeHEiRMwm83q8tQZTqrcsjW9R51IJNQBAKkyYyyjDCCtrChKWjl1bSJXWZbltLLWNuVqx+ZyIpFIK5fbJrPZjBMnTqCpqalu2qTXfhIEAd3d3WhqaqqbNum1nwRBwMmTJ2EymeqmTXrtJ4vFgpMnT6r1roc26bWfmpqa4HA4YDKZuLRJK9wCdTAYRH9/P7xeL3w+H9xud851+/r60Nraqv47ePAgAODKlSsAgGvXruHatWsAgMuXL+P69esAgJmZGczOzkJRFLz88su4efMmAGB8fBy3b98GAIyNjWF+fj4t9X0/nsDIyAiWl5cBAMPDw4jFYmnTwcViMQwPDwMAlpeXMTIyAgCIRqMYHR0FAMzPz2NsbAwAcPv2bYyPjwMA5ubmMDExAQCYnZ3FzMwMAOD69eu4fPmypjYBwMTEBObm5nK2CQBGR0cRjUYBgEub7ty5g9HRUSiKUjdt0ms/Xbp0CTdu3ICiKHXTJj330507dyCKYl21SY/9tLS0hDt37tRVm/TaT4qiYHp6GlevXi27TZcuXYJmGAfC4TDr7e1Ne221Wlk4HM66fiwWY4uLi+q/ubk5BoBFIhHGGGOSJDFJkjLKiUSCSZLEEokECwaDLB6Pq8tlWU4r+6fm2CHPN9ghzzfYn4/PsvX1daYoCmOMqWVFUTLKjLG0sizLaeVEIpG3nKpfvnZka1Oudmwur6+vp5XLbVM8HmfBYFD9jnpok177aW1tTXVZL23Saz+tra2xixcvslgsVjdt0ms/ra+vs4sXL7LV1dW6aZNe+ykVe2KxWNltmp+fZwDY4uIiKwSXUd9+vx8A0tLdAwMDcDgcsNvtBbevxKjvF197C+6/mAYA9H7mPfjCJx/j8rkEQRAEUS5VH/Vtt9sxOTmZtuzevXuagnQpKIqCW7du5R15R/dRa0OLS0Ib5JIf5JIf5JIfernk8mBNm82G7u5uDAwMwGq1AkDea9TloigKwuEwHn74YfWi/mZo1Lc2tLgktEEu+UEu+UEu+aGXy7qd63t2fgWf+k/fAQD83NED+M9nPsjlcwmCIAiiXOp+rm9FUXDz5k3tE55QjzonWlwS2iCX/CCX/CCX/NDLpWEDdcFr1Bvuo15a036/WqNB16/4QS75QS75QS75oZfLuk19A8C7f+tbWJcUPLF/F771a09x+1yCIAiCKIe6T33LsowbN24UnMZt19sDyqhHnRutLonCkEt+kEt+kEt+6OXSkIGaMYaFhYWCzwRt3ZZMf1Ogzo1Wl0RhyCU/yCU/yCU/9HJZ16nvn/2jVzDzRhQAEP69UzCbBG6fTRAEQRCl0hCp79dff71g+qF124N7qZdj1KvOhlaXRGHIJT/IJT/IJT/0cmnIQA0Aa2trBdfZtWHSk0VKf+dEi0tCG+SSH+SSH+SSH3q45DIzWbUxm804evRowfV2bXvQPArU2dHqkigMueQHueQHueSHXi4N2aOWZRlXrlwpKvW9tEaTnmRDq0uiMOSSH+SSH+SSH3q5NGSg1gqlvgmCIAijY9jU95EjRwqul9ajpsFkWdHqkigMueQHueQHueSHXi4N2aOWZRkzMzOFJzzZRj3qQmh1SRSGXPKDXPKDXPJDL5eGDNQAsG3btoLrpF+jpkCdCy0uCW2QS36QS36QS37o4dKwqe/HH3+84HobA3WUAnVWtLokCkMu+UEu+UEu+aGXS0P2qCVJwuTkJCQp/0hu6/YNgXp1vdLVMiRaXRKFIZf8IJf8IJf80MulIQO1IAhoa2uDIOSfErRt+xa1vLBCPepsaHVJFIZc8oNc8oNc8kMvl4ZNfT/22GMF19u+xYwtZhPWZQUL1KPOilaXRGHIJT/IJT/IJT/0cmnIHrUkSRgfHy+YfhAEQU1/R1epR50NrS6JwpBLfpBLfpBLfujl0pCB2mQy4cCBAzCZClc/lf6mHnV2inFJ5Idc8oNc8oNc8kMvl4ZMfZtMJhw6dEjTuqkedVxSsLYuY9sWcyWrZjiKcUnkh1zyg1zyg1zyQy+XhjzFkiQJY2NjmtIPaQPKqFedQTEuifyQS36QS36QS37o5dKQgdpkMqGjo0Nb6nvHg1u0KFBnUoxLIj/kkh/kkh/kkh96uTRs6vvAgQOa1rVu6FHTgLJMinFJ5Idc8oNc8oNc8kMvl4Y8xZIkCaOjoxpT3w961JEV6lFvphiXRH7IJT/IJT/IJT/0cmnIQG0ymXDkyJGiRn0DlPrORjEuifyQS36QS36QS37o5dKwqe+9e/dqWnfPzma1fO8+BerNFOOSyA+55Ae55Ae55IdeLg15ipVIJPDiiy8ikSh8zXn3zgc96nsr8UpWy5AU45LID7nkB7nkB7nkh14uDdmjNpvN6Orqgtlc+J7o9h0PAjVdo86kGJdEfurdpSzLVTtAKYqCD3zgA0gkEvQc5TIhl/woxmVTUxO3Y4EhA7XJZEJ7e7umdXfveJD6nqfUdwbFuCTyU68uGWN46623EI1Gq/7dCwsLVf/OeoVc8kOrS6vVin379pX9EA9DBupEIoGRkRE8/fTTaGpqyrvuti1m7Nhixsq6jHv3KfW9mWJcEvmpV5epIL13715s3769Kk8OUhQF9+/fx86dO2kQVJmQS35odckYw+rqKu7cuQMA2L9/f1nfa8hAbbFY8NRTT8Fi0Vb93TubsRJZxT1KfWdQrEsiN/XoUpZlNUjv3r27at/LGENzczNMJhM9nrFMyCU/inG5bds2AMCdO3ewd+/estLghjy9EgQBu3bt0vyjSw0oi64mIMlKJatmOIp1SeSmHl2mrklv3769qt8rCALMZnNdudQLcsmPYl2m/m7KHdthyECdSCTw/PPPa2787o0Dyuhe6jSKdUnkpp5dVvsgrygKotEoFIVOrMuFXPKjWJe8/m4MGagtFguefvpp7anvjQPKlilQb6RYl0RuyCU/jJadCIVC6Ozs1LsaWTGay1pGL5eGDNQAijoY7mmhe6nzQYGFH+Sy8fD7/QCSwZogKgHXQB0MBuHz+RAMBhEMBnl+dBqSJGF4eFjzfKsPbZid7M4SBeqNFOuSyA255AdjDEtLS2CM6V2VgjidTtjtdr2rkRMjuax19HLJLVAHg0EMDQ3B5XLBZrPB7Xbz+ugMLBYLTp06pbn3snfXVrV8Z5kC9UaKdUnkhlzyg9K1/CCX/NDLJbcjitvtxvT0NADAZrMhEAjw+uisSJKkPVC3POhR36VAnUExLon8kMvaIRqN4sKFC5ienkZPTw8AIBAIwO12w2az6Vw7gtAOlyOKKIqIRCKwWq0IhUKw2WwV/UOQJAkjIyM4deqUpoklHtoQqO8sxypWLyNSrEsiN+SSH6kUYzm9l2AwCJfLhY6ODrjdbjU97fF4MDQ0lLZuNBpFX19f3s/bvXs3ent7S6qLnvBwSSTRyyWXQB0KhdDe3g6/3w+HwwGfzwebzQan05l1/Xg8jnj8Qc92aWkJANS5U1P/N5vNaWVJkiAIApqamvDMM8+oM8NIkgSTyQSTyZRWTiQSMJvN2NuSnvpOJBJqr2djD0iSJDQ1NYExppYVRYEsy2pZURRYLJacZVmWwRhTy9naka1NqXK2dmRrU6pssVggCELJbTKbzXjmmWfqqk167SdBEPDZz362rtokSZJ6PU5RFAiCAEEQspaB5IFsY9lkMoExlrMMJNOJm8uCIMBqtarrZ1unUPlzn/ucOtXj0aNHwRiDKIpp9UzV3Wq1oq+vr2CbFEXJ2abUusXUsRLlbPvGarVCUZS0evLYT3q2qVK/vXxlk8mE1tZWpCi0fmqd1O1cm497WuFyjToSiUAURTgcDlitVrhcLjXVlI2+vj60traq/w4ePAgAuHLlCgDg2rVruHbtGgDg8uXLuH79OgBgZmYGs7OzYIxhfHwcb7zxBgBgfHwct2/fBgCMjY1hfn4eADA6OopoNIptW8zY+vakMPPLcQwPDyMWi6UN/onFYhgeHgYALC8vY2RkBEDyTHt0dDS57fw8xsbGAAC3b9/G+Pg4AGBubg4TExMAgNnZWczMzAAArl+/jsuXL2tqEwBMTExgbm5OU5sAYGRkBMvLywBQcpvu3r2Lb3/722CM1U2b9NxPN2/eBGOsbto0NTWlHmSWl5fVQL+0tKQuTw2u2TjQJlUGksFt48l4yoUkSWo5kUjg/v37AID19XWsrKxAlmXE43Gsrq4CAGKxGNbW1tRyLJbMjq2tranl1dVVtROwsrKCF154AQ6HA/fv30cikUAgEMDHP/5xdcBfqk3RaBRf/OIX0dvbC4/Hgy9+8YvweDxp5YGBgbLbBKDsNq2vJ28xTbUp1Y7NbUrtG1mWIctyxfaTHm2q9G8vV5tSU4Om2qelTfF4HHfv3gWQfty7dOkStCIwDsPXgsEgenp60iYqFwQB09PTWUdDZutRHzx4EJFIBG1tbQV7AIqi4MUXX0R3dzeam5s19dQ+9f99G7P3VrGz2YKZ3/q04Xo1lep9xuNxBAIBnDx5EmazuS7apNd+Wltbw8WLF3Hy5El1O6O36f79+3jjjTdgs9mwZcuWqvVqNqcYS+2ReTwePPbYYzh79ixEUcTp06cxNTWlrsOzp2Y2m9VLgLXU+wSSx9iWlhY1C0k96tLqsvF3qeVz4vE4RFHEo48+iu3bt6f9bd27dw979uzB4uIidu3ahXxwSX0Xez26ubkZzc3NGctTc6FunBN1Yzl1UDObzfipn/qpjOWbyxuvE+7dtRWz91ZxPy5hXRHQ9PYO3bhOqiwIglpOSdVazlX3Qm3SWs5WXy3lXG1qbm5Oc1kPbdJrP23bti3NZT20KXWCkfquFLnKqXU3llMH1WzlXNul0rUbybd+rvLFixfx2GOP4Wtf+xomJydx8eLFtHV4tOnixYvq4NkvfelL6OrqgtPpLKm+PMrZ2qHFZSn7Sc82bS5Xo02bf5dat03VM9dxrxDcAvWxY8cQjUZhtVohiiJsNlvF7i1MTeNmtVrTdlQ+9rU+uE7946UYbA/trEjdjEYpLonskEt+MMYgy3LZc1RHo1G4XC4AyDlmplwcDgccDgf6+/sr8vnlwssloZ9LbkeToaEheDwe+Hw+9Pf3V/T2LFmWMTk5WdRD0DcG6rcWaeR3ilJcEtkhl/xgjGFlZSVtUE6xBIPBmp6IpFrwcEkk0csltxs+rVYrvF4vr4/LS1NTk3odUCv7N0x6cpsCtUopLonskEt+bB5dWyyiKKo93FSGr1Ep1yXxAL1cGnJmBkVRMD8/jz179pSU+n5riQJ1ilJcEtkhl/xIDarbeI28GKox6ZJRKNcl8QC9XBryaKIoCq5cuVLUY9v2tW5Ty5T6fkApLonskEu+pG6BIcqHXPJDD5eG7FFbLBZ8+tOfLmqb/a2U+s5GKS6J7JBLfgiCUPCWFUIb5JIferk0bI/61q1bRfVc9uxshtmUTFW8tURnlylKcUlkh1zygzGG9fV1GgDFAXLJD71cGjZQh8Phog6IZpOAh9+e8/t2lHrUKUpxSWSHXPJl46RIRHmQS37o4dKQgdpiseD48eNFP6XoEWvyOvW9lXWsrdMtNEDpLolMyCU/BEFAS0sLDX7iALnkh14uDRmoFUXBzZs3i+65HGh7MKDsVpTS30DpLolMyCU/GGOIx+Nlpxij0Sg8Hg9CoRCnmhkPXi4J/VwaNlCXci3wgJUC9Wbouio/yCVfinm6UC6mpqbUh6NooZh1awGt9eXhkkiih0tDBmqLxYInn3yy6BRjWo96gQI1ULpLIhNyyQ9BELBz586yU4ypJ/ppwefzIRKJpC0LhULo7Owsqw75iEajGBgYgCAI6Onpgd/v17zt5vq63W50dHRkrFesy4GBAU3LGhFev8tiMWSglmUZN27cKHqqxvQe9SrvahmSUl0SmZBLfjDGEIvFqpZiDIVCaG9vT5vBLBU0K5k2Tz0WGADOnz+veT7ybPXt6enJOmVqsS5dLhc8Hk/BZY1ItX+XKQwZqBljWFhYKFrWO6hHnUGpLolMyCVfqnnC09fXlxEknU5nSXOFF9v7DAaDsNlsmnv+QPb6BgIBdHd3Z12/GJepeoiimHdZo6LHibghA7XFYkFXV1fxqW/rdrU8R4EaQOkuiUzIJT8EQcCOHTuqkmKMRqNc5wK/d+9eUesHAgE4HA7N6+eqbzAYxLFjxzKWl+LyzJkzGWn4bMsajWr+LjdiyEAtyzJef/31os9stm0x46G376V+I0Kpb6B0l0Qm5JIfjDGsra2VnZ0IBoMIhUIYHBzMmcK+cOECurq6yvqecpiamsrZE85GrvqGQiHY7XaIogi/36/27De7FEURPp8PHo9HXdfj8aQNTLPb7RlzpWdb1mjw+l0Wi2FP/Uudb/VQ+3bcXY7j7nIcq+sStm8xrAJu0DzA/GgUl5/9by/j7nJlJ35gjGX0XB5qacbf/urHNX9G6lnR+QiHw1l7otUiFAoV1aPOVt9UkI5Go2q5r68Pvb29AJAWWILBIFwuF4LBIHp6ejA9PQ2PxwO3252Wft88sC7XskZDj0tbhoxSZrMZR48eLWnbd7Zvx9TNBQDAXGQN79nXwrNqhqMcl0Q6jeTy7nK8pp9Cly81uflAG41Gi7o+vHnbvr6+tGXBYDBt4NXu3bvVgLmZYDAIq9Wa8f3BYBD9/f2w2Wxwu91p18qz1TcYDAJI9s5T166np6cBJF1s3/7gst/p06cBJIP7mTNnACSDP1GYzS6rhSEDtSzLuHbtGp544gmYzeaitn3n7geSb95bafhAXY5LIp1Gcpm6hFRJcvWotW6rFavVWvL901arVX3udQqPx5OxLBe5rk8fO3YMVqsVHR0dGQPastU3EAjg3LlzEEURbrcbXq9XfS81Unnr1q0QBEEN8oODgxgaGgJQ3slKI7HZZbUwZKAuh3e2PwjUdJ2aIEqjmPRzKfA4IIqiiO7u7oK9xY6ODoiimHeEd6UCWTAYhNvtTlvmdrvR09OD9vZ2WK1W+P1+TE5OqsE/W32npqbU68epe6n9fn/GyHCfz4dwOIwzZ85AFEV1UNqFCxfU28RStLe3Z9Q32zKi8hhyMJnZbMaRI0dK6rUc2tCj/uG9FZ7VMiTluCTSIZf8EAQB27ZtK6vXYrPZNI3mdjgcmJyczFi+MYXd19fHdcSzKIoYGBhAKBTC9PS0OtAtFApBFEV1opb29nY4nU74fD61F725vqn1UzidTvj9fjWQb3Rps9nUQD80NASfzwefz5cRpEOhUMYAt2zLGg0ev8tSMGSPWpZlXL58Ge9///uLPige3rNTLf9wnnrU5bgk0iGX/EiNri3noBgMBtHd3Y1oNIqpqSm0t7dn7TXbbLas9wenBqJpTWMXg81mQ29vb8a1a7vdDpvNpl5zjkQi8Pv9cLlcao9+c31tNpuawgaQUd+NLrUOWhscHMzo6Wdb1mjw+F2WgiF71ACwbdu2witloW17E1q3NQEAZuepRw2U7pLIhFzyo9wDYSAQSAtq+SbrcLvd3HrM586dK2t7r9eLY8eOQRRFRKNROJ3OjOBbbH2LcZnquW/MRmRb1qjo8RQyQwZqs9mMxx9/vKReiyAIOLxnB4Dkgzliica+57Ucl0Q65JIfPFKMoVBIvW7rcDjyTs/pcDgQiUS4PJSDx7Xs1MNEwuFw1vu/i6lvsS77+voyTgyyLWtE9Ep9GzJQS5KEyclJSJJU0va2twM1QNepy3VJPIBc8oMxhpWVlbLvWfV6vTh79iyAwtNfbr5OqycOhwOBQABerzfnIDet9S3WZbaATEE6Ca/fZbEYMlALgoC2traSz2oObwjU4t3GDtTluiQeQC75Uk5mIjXiG0gGPZ/Pp2nEstFuUdJaX8ry8EMPl4YcTGY2m/HYY4+VvL3toQcDym7cuc+jSoalXJfEA8glPwRBwNatW0vePjVYC6DeYLkuiQfo5dKQPWpJkjA+Pl5yivFdD1OgTlGuS+IB5JIfjDHcv3+fnkTGAXLJD71cGjJQm0wmHDhwACZTadV/dPcOmE3J9OT1Bg/U5bokHkAu+dLU1KR3FeoGcskPPVwa8ohiMplw6NChkg+IWywmPPr2xCfhu/chK417plmuS+IB5JIfgiCgubmZrvdzgFzyQy+XhjyiSJKEsbGxslKM79qbnON7XVIw18BTifJwSSQhl/xgjGF5eZnStRwgl/zQy6UhA7XJZEJHR0dZPZd3b7hO/YMfL/OoliHh4ZJIQi750txc+Qd/NArkkh96uDTkEYXHtcDH9+9Sy6/fbuxATddV+UAu+SEIArZs2ULpWg6QS37o5dKQRxRJkjA6OlpWivHxDY+3fP2tJR7VMiQ8XBJJyCU/GGNYWloqO8UYjUbh8Xiyzu7VKPBySejn0pCB2mQy4ciRI2X1XA7t3oGtTcntX3+rsXvU5bokkpBLvvCYNz01FadWeEwhWk201pfmoOeHHi4NeUQxmUzYu3dvWQdEs0nAex5O9qp/eG8FK/HG7AXxcEkkIZf8EAQBTU1NZacYU4+L1ILP50MkEklbFgqF0NnZWVYd8hGNRjEwMABBENDT01PUgzY219ftdqvPot5IsS4HBgY0LWtEeP0ui8WQR5REIoEXX3wRiUSirM957yPJ69SMAdduN2b6m5dLglzyRFEULC4uQlGUqnxfKBRCe3t72tOhUkGzkmlzq9Wqztl9/vz5vA8O2Ui2+vb09GSdF7xYly6XS30Od75ljUi1f5cpDBmozWYzurq6yp5z9X2PtKrlK7cWy62WIeHlkiCXPBEEATt27Khaz6Wvry8jSDqdzpwPxMhHsb3PYDAIm81W1Dzj2eobCATU+c03UqzLVD02PsQk27JGpNq/yxSGDNQmkwnt7e1lpxiPHNgQqN9szB41L5cEueSJIAiwWCxVOSBGo1Guz1m+d+9eUesHAgE4HA7N6+eqbzAYxLFjxzKWl+LyzJkzGWn4bMvKQRRF+Hy+rBmLUCgEn89XcycG1fxdbqQiD+XweDw4d+5cxZ5Ek0gkMDIygqeffrqs6dwe39cCs0mArLCG7VHzckk0oMvx/w68+oeF19v/AeDn/yp92V/+Y+D293JuwgAwpgAf/RWYPvarJVcxGAymBYJsPeQLFy6gq6ur5O8ol6mpKZw7d07z+rnqGwqFYLfbIYoiQqEQRFFEb28vFEXB0tISdu3aBZPJBFEUEQwGEQ6H4Xa7EQqFMDk5mXbMttvt8Hg86oNNci0rFb/fj0gkgvb2dpw9exY2mw1DQ0MAkvGju7sbp0+fVgcDlpLZqASbXVYL7oE6FAphYGCgqB9esVgsFjz11FOwWMqr/tYmM979cAuu3V7CP/x4GavrErZvMeQDxUqGl0uiAV3Gl4HlNwuv13ogc9nqfN5thbf/sfXy7shwOBwFe6vhcDhrT7RahEKhonrU2eqbCtLRaFQt9/X1obe3F4IgoKWlRe0FBoNBuFwuBINB9PT0YHp6Gh6PB263O61ztXlg3cZl0WgUfX19eeu5e/fuvEE9dW3e6XSis7NT/X63261mDBwOB/x+f80E6s0uqwX3I4ooilzTSNkQBAG7du0qvKIGPniwFdduL0FhwJVbS/jQ4cLPrK0neLpsdBrOZXML0PJI4fW278m+TMO2QnNpPvMdSDffAxuNRkvO/mULWMFgMG3gVb6AFQwGYbVaM74/GAyiv78fNpsNbrc7LVBlq28wGASQ7J2nrl1PT08DSLrYOG7i9OnTAJLB/cyZMwCSwb8YrFZryY8PzXZicvHiRRw+fBgulysjftTSM8I3u6wWXAO13++H0+ms+OjARCKB4eFhnDp1quwU4wfeYcVXJ+YAAH8/t9BwgZqny0an4Vw++SvJf6WwORW+ibQUYwkfX8yEFFarteT7p7MFLI/HozmI5bo+fezYMVitVnR0dGT0JrPVNxAI4Ny5cxBFEW63G16vV31vc7o2FfgGBwfVdHOxJyvl9KitVisikUja91mtVhw7dgwDAwNpPerUd9UKhk99F7Oj4/E44vG4+nppKTmQS5bltP+bzea0siRJ6sX8T3/606ooSZJgMplgMpnSyolEAmazWS2nBgGkygBwZP+DOb9DNxcAJP/IJUlCU1MTFEWBLMtqWVEUWCyWnGVZlsEYU8vZ2pGtTalytnYU2yZJktLKTU1NOdtkMpnw6U9/uq7apNd+ApKpOovFUjdtkiRJDXqKokAQBAiCkLWc+tvZWDaZTGCM5SwDyV5KtvKuXbvU17nWyVcOh8N4+umnEQ6Hc66jKApsNhtEUcQHP/jBrG0CgIWFBVitVk1tSn2+ljqm0tAb13/22WfhdDrR1tYGq9WKoaEhTE5OYmBgAIwxtb5Hjx5VP2dqagojIyMQBAEdHR1gjOFrX/safu7nfi4t0+P1ehEOh3H69GmIoojDhw9DURRcuHABZ8+eTWtHW1tbRjva29vBGIPVasWXvvSlovZHqpy6Hn348GF1ucfjwdDQELxeL7q7uzE9PY3W1uRg30gkUvXfXr7yxtR3ofVT66Ru59p83NMKt1OCCxcuaL7O0tfXh9bWVvXfwYMHAQBXrlwBAFy7dg3Xrl0DAFy+fBnXr18HAMzMzGB2dlZdPjeX7AmPj4/j9u3bAICxsTHMz88DAEZHR9WzsZGRESwvJ693DQ8PIxaLQZIkXJ9+CTuak6mMV//hLfXpKCMjIwCSJyCjo6MAgPn5eYyNjQEAbt++jfHxcQDA3NwcJiYmAACzs7OYmZkBAFy/fh2XL1/W3KaJiQkubRoeHoYkSYjFYhgeHgaAvG1K1b2e2qTHfnrppZewuLhYV22amppSDzLLy8tqoF9aWlKXp6ZU3Di9YqoMPOiFAMmT8JQLSZLUciKRwP37yWfDr6+vY3U1+US7eDyulmOxGNbW1tRyLBYDAKytranl1dVVtRPw8MMP49FHHwUA3L9/Xz0wLi8vq9O8Li8v41Of+hQmJycz2hQIBNTsYF9fH4aGhjS1aX19PWubVlZW1Da99tprGBgYQCgUwsTEBEKhEGKxGF599VWIooiPfexjaGlpQXt7O06dOoXz588jGo1iZWUFx48fx+TkpNomURTxiU98Qm3TZz/7WVy4cAF2ux1LS0tp++zw4cOw2Wx47bXXMDg4CK/Xi//6X/8rXC5XWpsmJydx/PjxtP0UCoXwqU99KmebitlPTzzxBP7oj/4IAwMD+I3f+A380i/9EqxWK77whS/gd3/3d3HixAn87M/+LJ577jm4XK6q/vYKtSkej6vlXL+9lZUV9XcQj8dx9+5dAOnHvUuXLkEzjAOBQIAtLCyor202W9rrzcRiMba4uKj+m5ubYwBYJBJhjDEmSRKTJCmjnEgkmCRJbH19nX39619nsVhMXS7LckZ5fX09rawoSlpZURS2vr7O/un5v2OHPN9ghzzfYG/cW1GXM8aYLMtp5UQikbcsSVJaOVs7srUpXztKadPGMmMsZ5tisRj7+te/rn5uPbRJr/20urqquqyXNi0vL7PXXnuNra2tMVmW1XZkKyuKklFOtSlXOfUZm8uyLLOFhYW078m3frbyyMgI+9KXvsQWFhbYyMgIm5qaylgn9flOp5Nbm5577rmS6psqu1wuNjIywp577jnm9XrZhQsXMj7T6XTm/JzN7Ui5lCRJc5uee+45dv369bTP7u3tZTdu3Ch5f5RTruZvL1954+9Sy/pra2vstddeYysrK4yx9L+t+fl5BoAtLi6yQgiMlT+7eDAYTLvfze12o7e3F2fOnNE0Wm9paQmtra1YXFzUNBiHvZ0e5HU/238J/gP+SzDZy/gvZz6InzmaZZRqncLbZSNTjy5jsRhmZ2dx+PBhbN26tWrfy97uGaVSnKXg8XjQ1dUFm82GSCSCaDSac+avYDCY9/1iKGdw2sbPOHv2LLq6urJe5y2mvsW6TF1/3nidPduyRqRYl/n+foqJe1xS3w6HAy6XS/0HIGOkIm94PqHo2KEHA8i+O5t5S0K9Q0974ge5rB1CoRACgQCA5DEqX1BzOBxqMC8XHqOUU/cPh8PhrBOC8KzvZrIFZArS+sJ12FpqgnkA6O/vr9gcuZIkYWRkhNtB0X7ICospeXb03dniZhUyOrxdNjLkkh+M0+MEvV4vzp49C6Dw9JepTkYt4HA4EAgE4PV6c3Z4tNa3WJfZAjIF6SS8fpfFwiX1XS7Fpr4rwee+Mo7pt0d9T/ybE9jbUr00H0HUKnqlvstFFEX4/X709vbC4/Ggo6MDp0+frql7con6p6ZS39WmEmc1H95w//Sr4cbpVet1hliPkEt+MMbU281KwWazqdd2+/v74XK5GjZIl+uSeIBeLg0ZqCVJwksvvcQ1xfhkx4PZk8ZvNE6groTLRoVc8oO9fZskBZfyIZf80MulISclbmpqwjPPPMP1M4892oZmiwlxScHLN+bTbp6vZyrhslEhl/zYOIMWUR7kkh96uTRkj1pRFHW2Gl5sbTKj69Fk+vtWdA3i/Aq3z65lKuGyUSGX/Ejd6ka9wPIhl/zQy6UhA7Usy5icnFRnquHFU+96kP7+zg/ucv3sWqVSLhsRcskPxhhWVlYouHCAXPJDL5eGDNRNTU04efIk9wcffOrxvWr5Oz+4w/Wza5VKuWxEyCU/TCYTWltby3rwQeoe41LuNS5n21qDh0siiV4uDbnnFEXBnTt3uKcY37V3Jx5pTQ6h/64YwUq8/gcFVcplI0Iu+cEYQyKRKLnnIoqi+uhHn89XtW1rkXJdEg/Qy6VhA/WVK1e4HxAFQcCnn0j2qtdlBWP/UP/p70q5bETIJV9SDz6oF0KhELq7uwv20kVRRHd3Nzo6OtDT08PlvatXr+Lpp5/m+pmN+t7G36XP54MgCAUn0ymbgrOBV4HFxUXNk5NXmu/84I76gI4v/tWM3tUhCF1ZW1tjV69eZWtra2V/liQrbPzGPPv6zI/Y+I15JskKhxpmJxwOs6GhIcYYY/39/VXbNhcul4s5nU4GIO8DixhLPtQoEAgwxhjzer3M4XDQezX2HmOMLSwsMLvdzqxWKwuHwywb+f5+iol7hgzUsiyzH/3oR+pTSHgST8jsff/2BXbI8w32E7/9Aosn+H9HLVFJl41GPbrkFai/9f032Ud+L6ieBB/yfIN95PeC7FvffzPr+oqisHg8rj6NqFiqEajD4TBzOp3M6XSq629keno6Y1mhQD09Pc1sNlvaMqvVyhYWFkp+b2pqih0+fDjNZbmf2ajvRSIR9XfpcrmY1+tlNput4oHasKnvcDhckRTjFosJJ95Ofy/FJIyH57l/Ry1RSZeNBrnMzgtXbuOX/3cItxdjacvfWozhl/93CC9cuZ11u9SzfXkjiiJ8Ph88Ho861ajH4yl64JjH40F/fz/Onz+PyclJdHd3qynQaDSKwcHBkupms9nSltlsNoiiWNZ7qedy8/zMRn0vHo+r4xiqNT+8IQO1xWLB8ePHYbFUZr6WnzyyXy1/83L2g0i9UGmXjQS5zERWGH7nb68i29Cb1LLf+durkJX0NQRBQEtLS0UmHUodYLu7u9HT0wOn0wm/349IRPuT80KhEPr7+2Gz2WC1WtHf3w+v1wuPx4POzk6cOHECbre76LpFIpGsE2pEIpGS31tYWMDu3bszXJbzmY363sLCAlpaWvDss89W9UElhjyiKIqCubk5HDx4sCLD5D/5noewY4sZK+syXnjtLfyHnzmCrU1m7t9TC1TaZSNBLjOZmI1k9KQ3wgDcXoxhYjaCj3bsfrCcMayvr2PLli3cg/Xp06cBJIPtmTNnAADhcLioz0g90crv9wNIPu3KZrNhaGhIXaeUW7va29szthNFUV1eynsLCwuIRCJpsy2W+5mN+l5bWxu++tWvAgCXZ5drxZBHE0VRcOvWrYqlGLc2mXHyffsAAMsxqa7vqa60y0aCXGZyZzl3kC60XiKR4F0dAA+eFz04OKgebEsJqj09PRBFEZFIBGfPnlUf8Zuir6+v6M9MpVc3Eo1GYbPZynpvdnaW+2c26nsTExMQRREdHR3o6OhQR4dX8lY+QwZqi8WCJ598sqIpxp/+4CNq+a9Dtyr2PXpTDZeNArnMROvjYjevJwgCdu7cyb03nbo2HQqF0q5DXrhwoajPEUUR586dQ29vL1wuF4aGhuBwONDT04POzk50dnaqvfVCbOy9be6p+3w+OBwOWK3Wkt/r7OyEIAj42te+xu0zG/W9trY2fPnLX0Y4HFb/AUAgEKjs9eqCw82qQLGjviVJYtevX2eSJFWsTglJZsf+Y4Ad8nyDdZz7JptfjlXsu/SkGi4bhXp0We6ob0lW2Ed+L8ge3TDae+O/R98e/b35Vi1FUdja2hr3Ud+BQIB5vV42NDSklr1er6Zty6G3t5fZ7XYGgNlsNuZ0OtX3nE5n2veEw2HmcDjU9TaOEi/lPUVR2NWrV7l+ZqO+l+13CaDio76Ft79IV4p5gDaQfJzgzMwMjh49WtHeS9/wNXjHkumP33rmCfzLp2wFtjAe1XLZCNSjy3wPvtdKatQ3gLRBZam+8lc+b8dnNgzgBJLXqFdXV7F9+/aSetWiKCIUCsHpdGJgYEB9NnWlt61FynVJPKBYl/n+foqJe4ZNfXd1dVX8YNhz7KBa/urEG3U5BV+1XDYC5DI7nzmyH1/5vB37WtMPVPtat2YN0kAy9b1jxw4KLBwgl/zQy6UhjyiyLOP69et417veBbO5cqOxH9u7Ex863I6J2QjCd1fwd2L6yNR6oFouGwFymZvPHNmP7vfuw8RsBHeWY9jbshUfOtwOsyn7AY8xhlgshq1bt1KAKRNyyQ+9XBoyUAPVmwf4n374nZiYTd5f+eev/rDuAjVQf3Mq6wm5zI3ZJBT191NOBstms6G9Pfl8+WIH+ZSzba1Sj9lAvdDDpSFT32azGUePHq1Kr+Unj+zHnp3NAICRqz/GjxZWK/6d1aSaLusdcskPQRDKvqaaug0r28QVldy21uDhkkiil0tDBmpZlnHlyhXIslzx79piMeEXPnIo+b0Kw5++8sOKf2c1qabLeodc8oMxhrW1NeoJcoBc8kMvl4YM1NXm8x95J5otSVVfnXgDi6uVmYiBIAiCIDZjyEBtNptx5MiRqqUYd+9shrPzHQCAlXUZf/bqD6vyvdWg2i7rGXLJD0EQsG3bNkrXcoBc8kMvl4YM1LIsY2ZmpqopRvfxDnWE6p+8PIvlWH30qvVwWa+QS36k7leldG35kEt+6OXSkIEaALZt21bV73vn7u34mQ8eAAAsriXwP1/+YVW/v5JU22U9Qy75QT1AfpBLfujh0pCB2mw24/HHH696ivFXP/2Y2qv+Hy+JWFhZr+r3VwK9XNYj5JIftZKuLeVhHbVGrbisByj1XQSSJGFychKSJFX1ex/dswOnjyWvVS/HJfy30RtV/f5KoJfLeoRc8oMxhpWVlbJTjG63Gx0dHSVt6/P5ND+jevOTs2oJXi4J/VwaMlALgoC2tjZdzhB/7cS7sbUpqe0v/u6HmJ1fqXodeKKny3qDXPKFR2aip6dHfRLSRqLRKAYGBhCNRjMeZwgkn1Xd3t6uPl2rEC6XCx6Pp+z6bq5Dd3d3wV596jGLHR0d6OnpyboOZXn4oYdLQwZqs9mMxx57TBdh+1q3wvX2wzkSMsN/+MbVqteBJ3q6rDfIJT8EQeAyTWMgEEB3d3fGcp/Ph3A4DJ/PlzVQ9/X1qc+q1kJqYpRsn1UKbrcbfX19CAaDBdft7u6Gx+NBOBxGd3d3Rnt5uST0c2nIQC1JEsbHx3VLMT77yQ7s25V8wMDo63cw8tpbutSDB3q7rCfIJT8YY7h//37ZKcZgMIhjx45lLL937x6AZIDd3GONRqOae9IbOXPmjPr84myIooienh709PRkXS8UCqllr9eLoaGhgt+Z2sbhcABI9uynpqbS2sTLJaGfS0MGapPJhAMHDsBk0qf627dY8G+eeUJ9/e/+5jXcjxvz4Ky3y3qCXPKlqamp7M8IhUKw2+0QRRF+v1+9ltzf34/Ozk64XK6MnvOFCxfQ1dWVtkwURfh8Png8HvWzPB5PWkC02+0IBAI56+LxeNDf34/z589jcnIS3d3dag88Go1icHCw6PaJophxUmGz2TJ69jxcEkn0cGnII4rJZMKhQ4d0PSD+1Pv346l37QEAvLkYw8ALr+tWl3KoBZf1ArnkhyAIaG5uLivFmArS0WhULW8MhrkeuBEOhzOCXzAYhMvlQnd3N3p6euB0OuH3+zMGm+UafBYKhdDf3w+bzQar1Yr+/n54vV54PB50dnbixIkTcLvdRbcxEolknY98Yz14uCSS6OXSkEcUSZIwNjama4pREAT83s/+BLY1Ja9H/vmrN/HKjXnd6lMqteCyXiCX/GCMYXl5uawUY+r67tTUFJxOJ2w2G6anpwtuF41GM4Lf6dOnASQD7pkzZwBkD+i5sNvtsNls8Pv98Pv9anp9aGgI09PTmJ6eVp/YVQzt7e0ZqXtRFNM+i4dLIoleLg0ZqE0mEzo6OnTvuRxs347ez7xHff2bF76H6Kqx7q2uFZf1ALnkS3Nzc1nbBwIBnDt3DqIoFtVbzXbdOhW4BwcH1VR5sfdY9/T0QBRFRCIRnD17NuOWrr6+vqI+D8ie5s52jb1cl8QD9HDJ7XnUoVBIPYOdnJzE+fPnK/aIuNS1wFrgFz/6KAJXf4zx8D28tRRDr/8yvL/QaZg0Uy25NDrkkh+CIGDLli1lfcbU1JR6zTh1L7Xf7y84mrujowOiKKq3daVGiJ85cybtmvCFCxcy0ue5esWiKOLcuXPqZ7pcLoRCITV4A8D58+c1tSt1gmC1WtXPS7XL5/PB4XCkHXt5uCSS6OWS26l/MBhEb28vent70dXVhRMnTvD66AwkScLo6GhNpBhNJgG/f/oDsG5PDjAYufpj/MnLszrXSju15NLokEt+MMawtLRUcopRFEV1JDQA9ZpyamDZwMAAPB5P2gCzFA6HA5OTk+prm82mBu+hoSH4fD74fL6MIJ267zkbNpst435uu92elvre+H7q2jUAdHZ2pt0fffbsWfh8PvV1IBCA1+tFR0cHAoFAxmjxcl0SD9DLpcA4fGMoFMKJEyewsLAAIPlH0tHRofkaztLSElpbW7G4uIhdu3YVXF9RFMzPz2PPnj01k2a8eO3H+Bd/NgUAMJsE/O9/8WF8tGO3zrUqTC26NCr16DIWi2F2dhaHDx/G1q1bq/a9jDFIkgSLxcI9OxUMBtHe3o7BwUH09/fD5/Ohvb09rafd09Oj6faojXg8Hrjd7pJu7aoklXTZaBTrMt/fTzFxj8vRxG63p6VtUqmZUgZHaMFkMmHv3r01dTA88cTD+MInk+k1WWH4wv+Zxhv3VnWuVWFq0aVRIZf8EAQBTU1NFQksDocDwWBQ7f1OT09nXKZzu91574neTOqYV2tBGqisy0ZDL5fcjigbz0YHBwczrpPwJJFI4MUXX0QiUVuPmvzNp9+DT7z7IQDAwmoC/+xPJ2p+cFmtujQi5JIfiqJgcXERiqJU5PMnJyfViVA2p8mBZDCPRCKaB4z19fWhv7+fdzW5UGmXjYReLrmf+kejUfj9/rxpo3g8jqWlpbR/ANTn+MqynLUsSRJkWYbZbIbdblfPaiRJUsVtLCcSibRyKsufKjPGMsoA0sqKoqSVU9cfs5XNJgF/cOb96HhoBwBAvLuCf/6nk1hdlwq2KV87KtkmQRBgt9thNptztk+W5bSy1v2kV5sK7adKtYkxhmPHjsFsNtdNmyRJUuuuKEreMmMso5xqU65y6jM2lwFgx44daa/zrV9sWRRFXLhwAf39/fjjP/7jrG06e/as5jalRmzzrGOp5c3tEAQhzSXP/aRXmyr528tXFgQB27dvRwqt2+Y67mmFe6D2eDwIBAJ5e9N9fX1obW1V/x08eBAAcOXKFQDAtWvXcO3aNQDA5cuXcf36dQDAzMwMZmdnYTKZcP36ddy6dQsAMD4+jtu3bwMAxsbGMD+fvJ95dHRUPSMeGRnB8vIyAGB4eBixWAySJGF4eBiSJCEWi2F4eBgAsLy8jJGREQDJE4/R0VEAwPz8PMbGxgAAt2/fxvj4OABgbm4OExMTyXVu/wi/0bkVe3Ymh/CH3ojC/RfT+N6Vq3nbBAATExOYm5urapsikQi+//3vw2Qy5WzT7OwsZmZmAADXr1/H5cuXNe0nvdqkZT9Vok0vv/wyZFmGyWSqmzZNTU2pB5bl5WU1sC8tLanLU4NrGGMZZSB5MN14Mp5yIUmSWk4kErh//z4AYH19Haurq7BYLGoZSF7vW1tbU8uxWAwAsLa2ppZXV1cRj8cBACsrK1hfT2a07t+/rx4Y5+bm8Oijj8LlcuHZZ5/FoUOHcraptbWVW5tWVpIP8InH49zbtLy8rJ6kZdtPFoulIvtJzzZt3E/VapMgCJAkSa27ljbF43HcvXsXQPpx79KlS9AKl8FkKQYGBtSJBTbeQrCZeDyuNghIyj548CAikQja2trUHWI2m9PKkiRBEAQoioIXX3wR3d3daG5uhiRJMJlMMJlMaeVEIgGz2ayWUwMAUmUA6sCAVLmpqQmMMbWsKApkWVbLqR99rrIsy2CM4Qd3VnDG+3fq1KKfes9D+MOfP4rtzU1Z25QqZ2tHJdsUj8cRCARw8uRJtVedq02pcrZ9U0ttKmY/8WzT2toaLl68iJMnT6rbGb1N9+/fxxtvvAGbzYYtW7ZAEAT1b3BzGYDa60iVTSaTevDMVgaSWZ3N5dTBdteuXer35Fu/mHJvby9mZ2cxNDSUtR2ValO1ypvbASSPsS0tLer4CaO3Sa/9tPF3qeVz4vE4RFHEo48+iu3bt6f9bd27dw979uzRNJiMW6D2+/2wWq1wOByIRqNZ7zHMRbGjvhlLzg7T0tJS0wMkpn4YwS/8yQTWEsmD4/F3PwTv5zuxbUvtPF3JKC6NQD261HPUt6IoMJlMdeNSL8glP4p1yWvUN5dAnbodayNWq1W9XasQxQZqI/Fq+B7++Z9OqsG681Ab/uQXj8G6nSYgIGofvQI1QdQDNXV7ls1mU9MKqX9ag3QpJBIJPP/884YYXfvRjt34i3/xIbQ0J1Oc0zcX8LmvjNfMrVtGclnrkEt+KIqCaDRKI5U5QC75oZdLQ97wabFY8PTTT6vX92qdY4+246uuj6gDzMJ3V/Azf/QKvive07lmxnNZy5BLfgiCoF6fJsqDXPJDL5eGDNQADHcwPHKgFX/9y0+qt25FVtbxT//Hd/G/XpkFp2ECJWM0l7UMuSQIgjeGDNQbb20xEu/cvR1//csfU59jLSkMv/O3V/GF/xPC4po+6VKjuqxFyCU/Nt5uQ5QHueSHXi4NGagtFgtOnTplyN5L6/Ym/K9/1gX3Jx5MNfitK2/h1B+8hL/TIRVuZJe1BrnkRy2na4t9vKXe1LJLo0Gp7yIxcq/FYjbh3E8+Ae8vdGLX1uRB/VZ0Df/k/N/h3/3Na1hdr27bjOyy1iCXtYXb7c64I6UcfD4fIpGIpnU3P5WLIErFkIFakiSMjIwY/qB48n378K1fP44PH04+vIQx4E/Hf4invzyGb79+pyp1qBeXtQC55AevFGNPT0/G4yWBZK94YGAA0WhUfR50vuVA8imB7e3tmh+84XK54PF4yqq/FlKP18zV00+5DIfD6O7uRkdHR9pjMwntUOq7CJqamvCP/tE/QlNTk95VKZsD1m346tmP4LeeeQLNluTu+NHCGn7pTyfh+vMpzEUqextXPbnUG3LJD5PJBKvVWvaTyAKBQNZnRPt8PoTDYfh8vrSAnGs5kJz6eOPDhwqRmpVx8+fwxO12o6+vD8FgMOc6KZcnT56Ex+NRA3auZ2cTueH1uyz6e6v6bZyot8ERJpOAf/mUDS/8+nF81PbgGdYjV3+ME79/CX3fulaxwWb15lJPyCU/GGPqlKjlEAwG1adkbeTeveR4EKvVmtYTzbU8Go2W9AjLM2fOFHxcpiiK6OnpQU9PT9Z1Q6FQzm29Xm/B52YzxjA5OQkA6lPCXC4XpqamDHe9XW94/S6LxZCBWpIkvPTSS3WXYjy8Zwf+8uyH8eUzH8BDLcl7rtdlBd5LIo4PfBtf+U6Y+/XrenWpB+SSH6npWMs9IIZCIdjtdoiiCL/fr1437u/vR2dnJ1wuV1ovOdfyCxcuoKurK+2zRVGEz+eDx+NRP9/j8aQFP7vdjkAgkLeOHo8H/f39OH/+PCYnJ9Hd3a32wqPRKAYHB8tywBjD1atXcfjw4bTlNputor39eoTX77JYDBmom5qa8Mwzz9RlilEQBPzs0Xdg9Dc/gWc/0YEtb6fDF9cS6H/hdTzVnwzYyzE+Pex6dlltyCU/eKQYU0E6Go2q5Y1BL9ezCLItD4fDGT3qYDAIl8uF7u5u9PT0wOl0wu/3Zww2yzf4LBQKob+/HzabDVarFf39/fB6vfB4POjs7MSJEyfgdruLaXYGJpMJ8XgcbW1tGe9pHRhHJNEr9W3I+0hS07jpIaxatGxtwr/+ycfx+Y+8E18OXMf/nfkRFAbcW1lH/wuv4yvfuYHPf+QQfvHJR/HwrtLnYG4El9WCXPIjlWI0m80l3wqTum47NTWl9o6np6dL+qzUft3I6dOnASSD7ZkzZwAkA3oxpAa6pVLeDocDNpstLZ1dbnqavf24zs2fI4oi2tvby/rsRoPH77IUDHk0kWUZk5OT6iP76pl3tG3H75/+AEa+eByf/cAjSP02lmIS/ug7YXy8fxS//lczCL2xUFI6ppFcVhpyyQ/GGFZWVspKMQYCAZw7dw6iKJbdK918zTq1DAAGBwfVE4FSgmpPTw9EUUQkEsHZs2czbuvq6+srpcoqjDHs27cvI81d6nX3RobH77IUuD6PulTq+elZvAnfvQ/vpTD+78wtJOT0Xffe/bvwTz50ED/9wQNo3UbpV6J8jPz0rLa2NvXhQB0dHQiHw/D7/UWN3E7h8/nQ3t6ubpsaHX7mzBmcOHFC/R6fz5eROu/u7s55nVoURUSj0bRbyEKhEPr6+tTAev78+ay3mG1EEAQsLCyk9fpTJw2pZR0dHejv74fT6YTP58PQ0FDB6+dEedTUYy7LpdhArSgK5ufnsWfPnoZNMf54KYY/f/WH+MvvvoGF1fTr1c0WE55+3z58zn4AH39sDyzm7I5kheG74j3cvXsHDz20Fx+27YbZRLMXlUo9/i71fB61JEmwWCwlpRhFUYTH41FTyB6PB11dXWmp5nv37qGrqwuiKKK3t7fg53m9XvT39wNIptVTqWOr1aoG1c1BOhQKIRgMFvz8UvF4PAgGgwiFQrDZbLDb7Wqbe3p60NXVheeeew6SJOGNN97As88+C1EUYbfbcf78+Yx0PpGfYn+XDR2oJUnC2NgYjh8/3vDTNcYSMv7me2/i/3z3DXxvLprx/u4dW3DqJ/bjmffvR9ej7WogfuHKbfzO317FveU1/MZPyPjP3zdjd8s2/PZn34vPHNlf5VbUB/X4u9QzUC8vL6OlpYX7tcBgMIj29nYMDg6iv78/o7eci56enoK3Qm3G4/HA7XbrmmKupMtGo1iXDR2oiexcfXMJF6bm8PW/v4Xoauao8D07t6D7vfvQvqMJf/jtzEEvqZ/dVz5vp2BNADB26jsfAwMDsNvtcDgccLvd6OnpUe8xzkUwGEQ0GtWcOo9Go+jr61N74UTjwStQGzI/pygKbt26RQ9C38R7H9mFf/fT78PE/+OA9xc6ceon9qmznQHA/P11fHXijbQgLYDhva0KTAJD6oztd/72KmRF9/M3w0G/S34wxrC+vl6xQTuTk5PqRCiiKBYM0kByRHYkEtE8YKxWgnSlXTYSerk0ZH5OURSEw2E8/PDDdXMtkCdbLCacfN8+nHzfPtyPSwhe/TG+deU2vvODu4hL6UGEQcDVRQFNAoMCgAG4vRjDxGwEH+3YnfXziezQ75Iv8Xi8Yveki6KICxcuIBqNwuv1at7O5XJpDtS1EKRTVNJlo6GHS0MGaovFguPHj+tdDUOws9mCnzl6AD9z9ABW1yX8p5Ef4H++/MOM9RIs/XrLneVYlWpYP9Dvkh+CIKClpaUin526LSnXhCeFMNoArEq6bDT0cmnI035FUXDz5k1KMRbJ9i0WdD+xL22ZAIZDOxWYhfRUzt6W+rkeWS3od8kPxhji8XhFUozl3pdsNCrpstHQy6VhAzVdCyyNDx1ux/7WrerAsSYT8JMHGcxvLxAA7G/dig8dphmLioV+l3xJJCrzIJr+/v6iR28bnUq5bET0cGnIQG2xWPDkk0/WzS0w1cRsEvDbn30vgGRQXlcE/PE1M9YVQQ3ev/3Z99L91CVAv0t+CIKAnTt30u1EHCCX/NDLpSEDtSzLuHHjBk3VWCKfObIfX/m8Hftat8IsMHxyfzL1va91K92aVQb1/LusdqqPMYZYLEbpWg6QS34U65KXc0Oe+jPGsLCwgEcffVTvqhiWzxzZj+737sN3w3dx94evw3XqcXy44yHqSZdBPf4uU6NbV1dXsW3btqp+dz2e8OgFueRHMS5XV1cBoOxR4jThCUEQebl9+zai0Sj27t2L7du3UwqVIArAGMPq6iru3LkDq9WK/fszs5TFxD1D9qhlWcb169fxrne9C2azWe/qGBpyyY96dblvX/JOgTt37lTtO8ud65t4ALnkR7EurVar+vdTDoYM1ACwtramdxXqBnLJj3p0KQgC9u/fj71791ZtxKssy/jBD36Ajo6Oujrp0QNyyY9iXDY1NXHzTalvgiAIgqgydT/XtyzLuHLlCg2Q4AC55Ae55Ae55Ae55IdeLg0ZqAmCIAiiUaDUN0EQBEFUGcON+k6dKywtLWlaP5V+OHLkCA2OKBNyyQ9yyQ9yyQ9yyQ+eLlPxTktfuSYC9fLyMgDg4MGDOteEIAiCIKrH8vIyWltb865TE6lvRVHw5ptvoqWlRdO9aUtLSzh48CDm5uYoVV4m5JIf5JIf5JIf5JIfPF0yxrC8vIxHHnmk4PPra6JHbTKZ8I53vKPo7Xbt2kU/PE6QS36QS36QS36QS37wclmoJ52CRn0TBEEQRA1DgZogCIIgahhDBurm5mb89m//Npqbm/WuiuEhl/wgl/wgl/wgl/zQy2VNDCYjCIIgCCI7huxREwRBEESjQIGaIAiCIGqYmrg9SyuiKMLv98Nms0EURbhcLlitVr2rZUhCoRDOnj2L6elpvatieEKhEILBIABgcnIS58+fp99liaQ8RqNRTE5O4syZM7Db7TrXyvh4PB6cO3eOfpclEgqFAAB2ux2iKCIajVb3d8kMhN1uV8vhcJg5nU4da2NchoaG2PT0NDPY7q9Z+vv708obf6dEcVitVjY9Pc0YY8zr9TKbzaZzjYxP6m99YWFB76oYFpfLxQAwAMzhcFTdpWFS36Iopr222Wzq2TdRHE6nk3opnAiFQujr61NfO51OhEKhjN8roY2hoaG03yb1AMtHFEXYbDa9q2FoOjs7sbCwgIWFBQQCgar/Lg0TqIPBINrb29OWtbe3qykJgtADu92O8+fPq6+j0SgAZPxWCW04HA61PDQ0BLfbrWNtjI/f74fT6dS7GnWB1WrV7cTRMNeoUwfAzUQikepWhCA2sfFAODg4CIfDQT3BMgiFQhgcHER3dzdcLpfe1TEs0WiUfoeciEaj8Pv9AJLjUNxud1WzFIYJ1LnIFcAJotqk/phpgF552O122Gw2eDwe6hGWwYULF+hEhxMbBy7bbDZ0d3cjHA5X7fsNk/q2Wq0ZvedIJEJnjETN4PF4dLl+VY9YrVb09PSgp6eHTsZLIBgM4vTp03pXo27YOOYkdddRNcehGCZQb7x2tZFjx45VuSYEkcnAwAA8Hg9sNhui0SgFlxIIBoNoa2tTX6dSizQwrzQuXLgAn88Hn88HURTR19dHY3pKIBQK4cSJExnLqzkOxTCp783XA0RRxLFjx6j3UiZ0Hat8/H6/mq6NRqOUciyR9vb2tBPyUCgEq9VKdyiUwOaOjdvtrvp11XrBZrOhv79ffR0MBuF0Oqt63DTUXN+iKMLr9aKrqwuTk5N0A3+JBINBBAIBDAwMoLe3F11dXXQdsEREUURHR0faMqvVioWFBZ1qZGz8fr96iSsQCKC/v5+CSxlEo1H4fD54PB64XC643W468SmB1KRGVqsV4XA4LXBXA0MFaoIgCIJoNAxzjZogCIIgGhEK1ARBEARRw1CgJgiCIIgahgI1QRAEQdQwFKgJgiAIooahQE0QBEEQNQwFaoIgCIKoYShQE0SD4na7MyZrIQii9jDMFKIEQfClp6eHHhNLEAaAetQE0aAEAgF0d3frXQ2CIApAgZogGpRgMEhPnyMIA0BzfRNEgyIIAhhjEEURoVAIoiiit7dX72oRBLEJ6lETRAMSCoVgt9sRjUbV8uDgoN7VIggiCzSYjCAakGAwCACYmppSH3E6PT2tZ5UIgsgB9agJogEJBAI4d+4cRFGE2+3WuzoEQeSBrlETRAPS1taGhYUFAEBHRwfC4TD8fr/auyYIonagHjVBNBiiKMLhcKivnU4n/H4/7Ha7jrUiCCIX1KMmCIIgiBqGetQEQRAEUcNQoCYIgiCIGoYCNUEQBEHUMBSoCYIgCKKGoUBNEARBEDUMBWqCIAiCqGEoUBMEQRBEDUOBmiAIgiBqGArUBEEQBFHDUKAmCIIgiBqGAjVBEARB1DAUqAmCIAiihvn/AYTvm3iZAD6DAAAAAElFTkSuQmCC" 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JqW+CIAiCqDENn/qWJAmhUEibNYYoH3LJD3LJD3LJD3LJD6NcmjJQC4KA9vZ2bfITonzIJT/IJT/IJT/IJT+Mckmpb4IgCIKoMU2R+p6cnKRUDgfIJT/IJT/IJT/IJT+McmnKQG2xWHDgwAHt6VlE+ZBLfpBLfpBLfpBLfhjlklLfBEEQBFFjmiL1PTExQakcDpBLfpBLfpBLfpBLfhjl0pSB2mKxoLOzk1I5HCCX/CCX/CCX/CCX/DDKJaW+CYIgCKLGNEXq+9KlS5TK4QC55Ae55Ae55Ae55IdRLk0ZqC0WC44ePUqpHA6QS36QS36QS36QS34Y5ZJS3wRBEARRYxo+9Z1MJvHiiy8imUwaXRXTQy75QS75QS75QS75YZRLU/aoFUVBLBaD3W6ndE6FkEt+kEt+kEt+kEt+8HRZStwzZaAmCIIgCDPTFKnvF154gVI5HCCX/CCX/CCX/CCX/DDKpSl71IwxrKysoLW1lR7dViHkkh/kkh/kkh/kkh88XZYS92wVfZNBCIJAKXJOkEt+kEt+kEt+kEt+GOXStKnvr3zlK5TK4QC55Ae55Ae55Ae55IdRLk2b+o7H49i2bRulciqEXPKDXPKDXPKDXPKDp8uGH0wGADabKbP2dQm55Ae55Ae55Ae55IcRLk0ZqCVJwtjYGM1dywFyyQ9yyQ9yyQ9yyQ+jXJo29S1JEmw2G6VyKoRc8oNc8oNc8oNc8oOny6ZIfdPZIT/IJT/IJT/IJT/IJT+McGnKQC1JEsbHx+nHxwFyyQ9yyQ9yyQ9yyQ+jXJoy9U0QBEEQZqbhU9+MMSwvL6MOzjFMD7nkB7nkB7nkB7nkh1EuTRmoJUnCyy+/TKkcDpBLfpBLfpBLfpBLfhjlklLfBEEQBFFjGj71rSgKotEoFEUxuiqmh1zyg1zyg1zyg1zywyiXpgzUsiwjFApBlmWjq2J6yCU/yCU/yCU/yCU/jHJJqW+CIAiCqDFNkfq+c+cOpXI4QC75QS75QS75QS75YZTLkgJ1OBxGV1dX1nJRFDE0NAS/34+hoSHEYjFe9cuJoii4du0a/fA4QC75QS75QS75QS75YZRL3alvv98Ph8OBrq6urHvIurq6MD09DSAVtD0eD0ZHR3VXglLfBEEQRDNRldS3y+WC0+nMWi6KYsZrh8OBYDCo92PLQlEU3Lp1i84QOUAu+UEu+UEu+UEu+WGUy4qvUQeDQXR0dGQs6+joQDgcrvSj86IoCiKRSE5Zt2LrmL4ZxSuzC1iOJ6tWh0ahkEuiNMglP8glP8glP4xyWXGgznc9OhqN5t0mkUhgeXk54x8Abci7LMs5y5IkQZZl2Gw2PP3007BYLNpyVZzv8pv4mS98E5/5k9fw3bdj2vJkMqml7NUyYyyrDCCjrChKRlmdkSZfWZbljLLeNm1uR75yMpnk2iaLxYKnn34aNputYdpk1H4CgB/7sR+DzWZrmDYZtZ8A4OTJkxAEoWHaZNR+slqtOHnypNaGRmiTUfvJZrPhR3/0R7VHXFbaJr1UbdR3oQFlAwMDaGtr0/4dPHgQAHDt2jUAwI0bN3Djxg0AwNWrVzE7OwsAmJmZwdzcHBRFwcTEBG7evAkAmJycxO3btwEAd995W/ueb16Z0uoxPj6OlZUVAMDY2Bji8XjGQ8Dj8TjGxsYAACsrKxgfH9facenSJQDAwsICJiYmAAC3b9/G5OQkAGB+fh5XrlwBAMzNzWFmZgYAMDs7i6tXr+pqEwBcuXIF8/PzWW2amJjAwsICAODSpUtc23Tnzh289NJLUBSlYdpk1H66fPkyXn/9dSiK0jBtMnI/3bx5E6IoNlSbjNhPy8vLuHnzZkO1yaj9pCgKXnvtNVy/fr3iNl2+fBm6YSWyeROv18ucTmfGMrvdzgKBQN7PiMfjbGlpSfs3Pz/PALBoNMoYY0ySJCZJUlY5mUwySZJYMplkr7zyCkskEtpyWZYZY4x9fvwNdsjzPDvkeZ69+J1b2vKNjQ2mKEpGWVGUrDJjLKMsy3JGOZlMFiyr9SvUjlxt2tyOfOWNjQ2ubUokEuyVV17RvqMR2mTUflpfX9dcNkqbjNpP6+vr7NVXX2XxeLxh2mTUftrY2GCvvvoqW1tba5g2GbWf1NgTj8crbtPCwgIDwJaWllgxSp7wRBCEjFHfoiiit7dXG/UNAO3t7Zibm4Pdbtf1mTxHfV+cEPGfx1JncH/4s04894H9FX0eQRAEQfCm6hOepKe1HQ5HxnuiKOL48eO6g3Q5yLKMN998M+c0btu2WLXyepKmzCtGIZdEaZBLfpBLfpBLfhjlUnegDgaD8Hg8AFLXmP1+v/be6OgoPB4P/H4/vF5vSfdQlwNjDIuLizmfCbq9hQJ1KRRySZQGueQHueQHueSHUS4bbq7vF67exr/+y9StYf/uzJM4f9JRZAuCIAiCqC0NP9e3LMt44403cqYftm950CTqURenkEuiNMglP8glP8glP4xyacpADQDr6+s5l2+j1HfJ5HNJlA655Ae55Ae55IcRLm01/0YOWK1WHDt2LOd7GdeoNyhQF6OQS6I0yCU/yCU/yCU/jHJpyh61LMu4du1antT3g0Adpx51UQq5JEqDXPKDXPKDXPLDKJemDNSFoFHfBEEQRCNh2tT30aNHc75Hqe/SKOSSKA1yyQ9yyQ9yyQ+jXJqyRy3LMmZmZmjCEw4UckmUBrnkB7nkB7nkh1EuTRmoAWD79u25l7fQNepSyeeSKB1yyQ9yyQ9yyQ8jXJo29f3EE0/kfK/FaoHNIkBSGPWodVDIJVEa5JIf5JIf5JIfRrk0ZY9akiSEQiHtWaGbUXvVdI26OMVcEvohl/wgl/wgl/wwyqUpA7UgCGhvb9ce3r0Z9Tp1PKnUslqmpJhLQj/kkh/kkh/kkh9GuTRt6vuxxx7L+/62ltT5B6W+i1PMJaEfcskPcskPcskPo1yaskctSRImJycp9c2BYi4J/ZBLfpBLfpBLfhjl0pSB2mKx4MCBA7BYcldfC9RJmR7tVoRiLgn9kEt+kEt+kEt+GOXSlKlvi8WCQ4cO5X0//cEcCUnJeE1kUswloR9yyQ9yyQ9yyQ+jXJryFEuSJExMTORPfadNerJG6e+CFHNJ6Idc8oNc8oNc8sMol6YM1BaLBZ2dnXnTDzu3PEgUrG3Qj7MQxVwS+iGX/CCX/CCX/DDKpWlT3wcOHMj7/g7qUeummEtCP+SSH+SSH+SSH0a5NOUpliRJuHTpUt70w86tD84/VhPUoy5EMZeEfsglP8glP8glP4xyacpAbbFYcPTo0bzpB+pR66eYS0I/5JIf5JIf5JIfRrk0bep77969ed+nHrV+irkk9EMu+UEu+UEu+WGUS1OeYiWTSbz44otIJpM5399Bj7rUTTGXhH7IJT/IJT/IJT+McmnKQG21WnHixAlYrbnvj04f9b2aoEBdiGIuCf2QS36QS36QS34Y5dK0qe+Ojo687+/Ymn6NmlLfhSjmktAPueQHueQHueSHUS5N2aNOJpN44YUX8qYfqEetn2IuCf2QS36QS36QS34Y5dKUgdpms+GZZ56BzZY7IZA56pt61IUo5pLQD7nkB7nkB7nkh1EuTbnnBEHArl278r6fMeqbAnVBirkk9EMu+UEu+UEu+WGUS1P2qJPJJL7yla/oGvW9RqnvghRzSeiHXPKDXPKDXPLDKJcCq4PnQC4vL6OtrQ1LS0u6zlYYY4jH49i2bRsEQch6/wfLcfzI774EADj91CPw/txx7nVuFIq5JPRDLvlBLvlBLvnB02Upcc+UPWoABa8R0MxkpUHXrvhBLvlBLvlBLvlhhEtTBmpJkjA2NpZ3vtUdW2hmMr0Uc0noh1zyg1zyg1zywyiXpk19S5IEm82WN/3wxP/zVcSTCp7Y14qv/dpJ3lVuGPS4JPRBLvlBLvlBLvnB02VTpL6LndGo91LTqO/i0Jk2P8glP8glP8glP4xwacpALUkSxsfHCwpTb9G6H6cfaCH0uCT0QS75QS75QS75YZRLU6a+9XDmD17G9dvL2GK14B/+809w+UyCIAiC4EHDp74ZY1heXkahc4yHtqV61BuygoREI7/zoccloQ9yyQ9yyQ9yyQ+jXHIL1KIowufzwe/3Y2hoCKIo8vroLCRJwssvv1ww/dCaNjsZpb/zo8cloQ9yyQ9yyQ9yyQ+jXHJLfQ8NDaG/v1977Xa74fV6dW1bjdT3r/7VDL7yrbcBAJc/9+M4tHsnl88lCIIgiEoxJPU9PDzM66OKoigKotEoFEXJu85DaT3qFepR50WPS0If5JIf5JIf5JIfRrnkFqg7OjrQ1dUFURQRDAbR09PD66OzkGUZoVAIspz/2nPrthatfJ8mPcmLHpeEPsglP8glP8glP4xyyS1Qj46OAgA6OzsxOjoKl8uVd91EIoHl5eWMfwC0xsuynLMsSRJkWUZLSwtOnToFq9WqLVfPcNRy67bMHnUymdQGAKhlxlhWGUBGWVGUjLJ6bSJfWZbljLLeNuVrx+ZyMpnMKFfaJqvVilOnTqGlpaVh2mTUfhIEAT09PWhpaWmYNhm1nwRBwOnTp2GxWBqmTUbtJ5vNhtOnT2v1boQ2GbWfWlpa0N3dDYvFwqVNeuEWqIPBIAYHB+H1euHz+eB2u/OuOzAwgLa2Nu3fwYMHAQDXrl0DANy4cQM3btwAAFy9ehWzs7MAgJmZGczNzUFRFLzyyiu4efMmAGBychK3b98GAExMTGBhYSEj9X0/kcT4+DhWVlYAAGNjY4jH4xnTwcXjcYyNjQEAVlZWMD4+DgCIxWK4dOkSAGBhYQETExMAgNu3b2NychIAMD8/jytXrgAA5ubmMDMzAwCYnZ3F1atXdbUJAK5cuYL5+fm8bQKAS5cuIRaLAQCXNt25cweXLl2CoigN0yaj9tPly5fx5ptvQlGUhmmTkfvpzp07EEWxodpkxH5aXl7GnTt3GqpNRu0nRVEwPT2N69evV9ymy5cvQzeMA5FIhPX392e8ttvtLBKJ5Fw/Ho+zpaUl7d/8/DwDwKLRKGOMMUmSmCRJWeVkMskkSWLJZJIFg0GWSCS05bIsZ5T9U/PskOd5dsjzPPvzyTm2sbHBFEVhjDGtrChKVpkxllGWZTmjnEwmC5bV+hVqR6425WvH5vLGxkZGudI2JRIJFgwGte9ohDYZtZ/W19c1l43SJqP20/r6OnvppZdYPB5vmDYZtZ82NjbYSy+9xNbW1hqmTUbtJzX2xOPxitu0sLDAALClpSVWDC6jvv1+PwBkpLuHhobQ3d0Np9NZdPtqjPp+8fV34P6LaQBA/yffh1/68ce4fC5BEARBVErNR307nU6EQqGMZffu3dMVpMtBURTcunWr4Mg7uo9aH3pcEvogl/wgl/wgl/wwyiWXB2s6HA709PRgaGgIdrsdAApeo64URVEQiUTwyCOPaBf1N0OjvvWhxyWhD3LJD3LJD3LJD6NcNuxc33MLq/j4f/kGAODTxw7gv577EJfPJQiCIIhKafi5vhVFwc2bN/VPeEI96rzocUnog1zyg1zyg1zywyiXpg3URa9Rp91Hvbyu/361ZoOuX/GDXPKDXPKDXPLDKJcNm/oGgPf+1lexISl4cv8ufPVXn+H2uQRBEARRCQ2f+pZlGW+++WbRadx2vTugjHrU+dHrkigOueQHueQHueSHUS5NGagZY1hcXCz6TNC27an0NwXq/Oh1SRSHXPKDXPKDXPLDKJcNnfr+x3/0KmbeigEAIr97BlaLwO2zCYIgCKJcmiL1/cYbbxRNP7Rtf3Av9UqcetW50OuSKA655Ae55Ae55IdRLk0ZqAFgfX296Dq70iY9WaL0d170uCT0QS75QS75QS75YYRLLjOT1Rqr1Ypjx44VXW/X9gfNo0CdG70uieKQS36QS36QS34Y5dKUPWpZlnHt2rWSUt/L6zTpSS70uiSKQy75QS75QS75YZRLUwZqvVDqmyAIgjA7pk19Hz16tOh6GT1qGkyWE70uieKQS36QS36QS34Y5dKUPWpZljEzM1N8wpPt1KMuhl6XRHHIJT/IJT/IJT+McmnKQA0A27dvL7pO5jVqCtT50OOS0Ae55Ae55Ae55IcRLk2b+n7iiSeKrpceqGMUqHOi1yVRHHLJD3LJD3LJD6NcmrJHLUkSQqEQJKnwSG77jrRAvbZR7WqZEr0uieKQS36QS36QS34Y5dKUgVoQBLS3t0MQCk8J2r5ji1ZeXKUedS70uiSKQy75QS75QS75YZRL06a+H3vssaLr7dhixRarBRuygkXqUedEr0uiOOSSH+SSH+SSH0a5NGWPWpIkTE5OFk0/CIKgpb9ja9SjzoVel0RxyCU/yCU/yCU/jHJpykBtsVhw4MABWCzFq6+mv6lHnZtSXBKFIZf8IJf8IJf8MMqlKVPfFosFhw4d0rWu2qNOSArWN2Rs32KtZtVMRykuicKQS36QS36QS34Y5dKUp1iSJGFiYkJX+iFjQBn1qrMoxSVRGHLJD3LJD3LJD6NcmrZH3dnZqS/1vfPBLVqLaxt41E43/qdTikuiMI3uUpZlJJO1GeuhKAoOHTqEjY0NCjAVQi75UYrLlpYWWK18MrimDdQHDhzQta49rUdNA8qyKcUlUZhGdckYwzvvvINYLFbz775582bNv7NRIZf80OvSbrdj3759Fd/OZcpAraYfTp48CZutcBPa0yY9ia5S6nszpbgkCtOoLtUgvXfvXuzYsaMm95AyxrC6uoqdO3fS/b8VQi75odclYwxra2u4c+cOAGD//v0Vfa8pjyYWiwVHjx4tadQ3QNeoc1GKS6IwjehSlmUtSO/evbtm38sYg81mg81mo+BSIeSSH6W4VOcEv3PnDvbu3VtRGty0gXrv3r261t3z0FatfO8+BerNlOKSKEwjulSvSe/YsaOm3ysIAlpaWoqvSBSFXPKjVJfq300ymawoUJvy1D+ZTOLFF1/UNbBl90MPetT3VhPVrJYpKcUlUZhGdlnrnpiiKFhaWoKiKDX93kaEXPKjVJe8/m5M2aO2Wq04ceKErjOUjp0PAjVdo86mFJdEYcglPwRBMM011XA4jGAwCAAIhUK4ePEi7Ha7sZVKw0wu6x2jXJoyUFssFnR0dOhad/fOB6nvBUp9Z1GKS6Iw5JIfgiCYZkBeMBhEf38/AGBoaAinTp3C9PS0wbV6gJlc1jtGuTRt6vuFF17QlWLcvsWKne/ORnbvPqW+N1OKS6Iw5JIfiqIgFovVfbo2HA5jYGBAe+1yuRAOhyGKooG1ysQsLs2AUS5NGahtNhueeeYZ3Wc2u98dUHaPUt9ZlOqSyA+55IcgCGhtba37dK3T6cTFixe11+q95vWUWTGLSzNglEtTHlEEQcCuXbt0r7/7oS14K7qG2FoSkqzAZjXl+UlVKNUlkR9yyQ9BECq+1h+LxTAyMoLp6Wn09vYCAAKBANxuNxwOB49qAkj1olWGh4fR3d1dd9eoadwEH4xyacpAnUwmMTY2hjNnzugaKr87fUDZ2gb2tm6rZvVMRakuifyQS34oioLl5WXs2rWr7PvSg8Eg+vr60NnZCbfbDafTCQDweDwYHR3NWDcWi2WksHOxe/du7Vp0LmKxGPx+f11dnwb4uCRSGOXSlIHaZrPh2Wef1Z/6Th9QtkKBOp1SXRL5IZf8ULMTlaQYXS6XlopWg3S+a8d2ux2Dg4NlfxeQOgEIBAJ11ZsG+LgkUhjl0rRHlFIOhnta6V7qQlBg4Qe5rC+CwSC6u7u114FAAD09PVnrVdqjHhoagsfjgcPh0E4O6i1gE+aF61ElGAxCFEXt+k/6HwhPJEkqKcX4cNrsZHeWKVCnU6pLIj/kkh+MMS3FWEnvJRQKoaurC0CqNy2KIvr6+rLWq6RH7ff74XQ6tSA9MjKS8zuMgpdLwjiX3AJ1MBjE6OgovF4vRFFET08PIpEIr4/PwGaz4cyZM7p7L3t3PUh131mhQJ1OqS6J/JBLfvBKMQaDQXR2dsLv9yMUCuGll17iVMMUoihqA9VU7HZ7XQVqSn3zw/Spb7fbrQ2icDgcCAQCvD46J5Ik6Q/UrQ961HcpUGdRikuiMOSyvojFYlrQTB+dzQuHwwHGGPfPJYh0uAxbE0UR0WgUdrsd4XAYsViM6+0Pm5EkCePj47ofgv5wWqC+sxKvVrVMSakuifyQS36oKcZKgmAwGNQGkTUzPFwSKYxyySVQh8NhdHR0wO/3w+FwwOfzwe/3510/kUhgeXk54x+QeqSe+v9cZUmSIMsyWlpa8Nxzz2n3s0mSpM0Uk15OJpNQFCVjlPedlQSSySQYY2CMZZUBZJQVRckoqwfhfGVZljPKettUqB252qSW1R9MuW2yWq147rnn0NLS0jBtMmo/CYKAT33qU2hpaWmYNkmSpNVdUZSCZcZYVlltU76y+hmby4IgwG63QxCEvOsUKouiiMHBQcRiMYiimHf9WrapVuXN7VBdpq9n9jYZtZ8sFgva2tq01LfebfMd9/TCJVBHo1GIoqjd6N/X15d13SadgYEBtLW1af8OHjwIALh27RoA4MaNG7hx4wYA4OrVq5idnQUAzMzMYG5uDowxTE5O4q233gIATE5O4vbt2wCAiYkJLCwsAAAuXbqEWCyG7Vus2PbuPeoLKwmMjY0hHo9rg38kSUI8HsfY2BgAYGVlBePj4wBSqbNLly6ltl1YwMTEBADg9u3bmJycBADMz8/jypUrAIC5uTnMzMwAAGZnZ3H16lVdbQKAK1euYH5+XlebAGB8fBwrKysAUHab7t69i69//etgjDVMm4zcTzdv3gRjrGHaNDU1pR1YVlZWtMC+vLysLVd7GIyxrDLw4N5TIHWioLqQJEkrJ5NJ3L9/HwCwsbGB1dVVyLKMRCKBtbU1AEA8Hsf6+rpWjsdT2bH19XWtvLa2hkQiAYfDgb/5m7/B888/D4fDgfv372sHxpWVFe2EptZtAlB2mwBgdXUVGxupGRb1tkk9OWukNhm1nxhjWFtb09qnp02JRAJ3794FkHncu3z5MvQiMDXsV0AwGERvby8WFxcffLAgYHp6OmfqKZFIaA0CUrIPHjyIaDSK9vZ2bYdYrdaMsiRJEAQBiqLgxRdfRE9PD7Zu3QpJkmCxWGCxWDLK6jNALRYLPv7/fR1z99bw0FYbZn7rE9p1xPRripIkoaWlBYwxrawoitaLVxQFiqLAZrPlLcuyDMaYVs7VjlxtUsu52pGvTclkUnuAuVoutU2JRAKBQACnT5+G1WptiDYZtZ/W19fx0ksv4fTp09p2Zm/T/fv38dZbb8HhcGDLli0QBEH7G9xcBh70htWyxWLJ6I1sLqvHis1l9WCrDtzJtQ6Pcq52VKtNtSpvbgeQOsa2trZqk3SYvU1G7af036Wez0kkEhBFEYcPH8aOHTsy/rbu3buHPXv2YGlpqeiMhlwCtSiK6Orq0h2oN7O8vIy2tjZdFS6Xc95v4rW5KADg9d85jZ1bacAPQRQjHo9jbm4OR44cwbZtNFEQQZRCob+fUuIel9S3w+HA8ePHtVSfei91tQZyKIqCaDRa0hNM9rU9kPSDZRpQplKOSyI35JIfamaBQz+i6SGX/DDKJbfJSkdHR+HxeODz+TA4OFjV27NkWUYoFNLSeHpID9TvLFGgVinHJZEbcskPxhhWV1cpuHCAXPLDKJfc8r92ux1er5fXxxWkpaVFuw6ol/1pk57cpkCtUY5LIjfkkh/q6FqicsglP4xyacpHqSiKgjt37pSd+n6HUt8a5bgkckMu+cEYy7itjSgfcskPo1yaNlBfu3atxEC9XStT6vsB5bgkckMu+aLeAkNUTjVcxmIxeDwehMPhvOt4PB7u32s0RvwuTTn02Waz4ROf+ERJ2+xvo9R3LspxSeSGXPJDnVOZqJxquZyamtIGEOciHA7jxIkT3L/XSIz6XZq2R33r1q2Sei57HtoKqyV1j907y3SmrlKOSyI35JIfjDFsbGxUnGLU0+trdHi53Iw6wVU+gsGgNr+6KIrao0D9fj+Ghoa41qVWVMtlMUwbqCORSEkHRKtFwCPvzvl9O0Y9apVyXBK5IZd8SZ8UqVyK9fo2U8q61aKUoKa3vjxcVoI6cyWQejiK3W4vOM10PWOES1MGapvNhpMnT5b8lKJH7anr1PdWN7C+QbfQAOW7JLIhl/wQBAGtra0VP06wWK8vHZ/Ph2g0mrEsHA5rz7OuBrFYDENDQxAEAb29vfD7/bqD2ub6ut1udHZ2Zq1XqstcJwal9oB9Pl/Goz67u7sRDAbR09MDAJienta9X+oJXr/LUjFloFYUBTdv3iy553Kg/cGAslsxSn8D5bsksiGX/GCMIZFI1CzFqD5YKP2pf2pwrGbaPP3Z1RcvXoTL5dIV1HLVt7e3N+ckU6W67OvryxoElmtZISKRSFadQ6EQjh8/DiCzh20mav27VDFtoC7nWuABOwXqzdB1VX6QS76U8nShShkYGMh6XrXL5SprdsVSe5/BYBAOhyMjsBULarnqGwgEtOC+mVJcqvUQRbHgsmAwiHA4jOHh4YyTmfSTjHREUcTIyAiGhoZqNudGNajl71LFlDk6m82Gp59+uuTtMnrUixSogfJdEtmQS34IgoCHHnqoJt8Vi8UyeqaVcu/evZLWDwQCWYFYDWqxWCwrqOWrbzAYxLlz57KWl+Py3Llz8Pv96O/vz7usu7s7Z684EAhgcHAwZ53T0+FmpJa/y3RM2aOWZRlvvvlmyVM1Zvao13hXy5SU65LIhlzygzGGeDxecYoxX68vnZGREUNvI5qamsrogaYHtf7+/qygnK++4XAYTqcToihmDELb7FIURfh8Png8Hm1dj8eTMTDN6XRmTQOda9lmYrFYzuvkAwMDhSWYBF6/y1IxZY+aMYbFxUUcPny4pO3eQz3qLMp1SWTTTC4/9d9fwd2V6o5+ZUyBIGT2JR5u3Yq/+5Uf0/0Z+Xp96UQiES3NbAThcDijjsWCWq76qkE6Fotp5YGBAa33m37yGAwG0dfXpz2eeHp6Gh6PB263OyP9vnlgXb5l6aRfc09ncw/bzBhxIm7KQG2z2co6Az5g36GV5ylQAyjfJZFNM7m8u5Ko66l4C43K3dwbisViZY9AjsViWYE1GAxmDLzavXt3Rgp587p2uz3j+4sFtVz1DQaDAFK9c/Xa9fT0NICUi507d2rrnj17FkAquKup8kgkUvA7iRSbXdYKUwZqWZYxOzuLxx9/HFarVfd227dY8XDrVtxdSeCtKKW+gfJdEtk0k8uH352ToJowxrICrt7vLSU1abfby75/2m63ZwVWj8ejuweZ6/q0nu/cXN9AIIALFy5AFEW43e6M69pqunbbtm0QBEEL8sPDwxgdHQVQ2clKM7HZZa0wZaAGyp9v9VDHDtxdSeDuSgJrGxJ2bDGtAm7QnMr8aBaXpaSfy4ExhvX1dWzfvr3sA6Ioiujp6SnaW+zs7IQoigVHeFcrkAWDQbjd7pzLBwcH4XA44Ha7M+qWq75TU1Pa9WP1GrHf79d61+qJi8/nQyQSwblz5yCKonb9e2RkJCtl3dHRkVWvXMuaDSMebmLKwWRWqxXHjh0rq9fyQx1p6e9ocxxUC1GJSyITcskPQRCwY8eOinotDodD12ju7u5uhEKhrOXpKeyBgQGuM2mps4+Fw2FMT09nDXQ7fvw47HY7Ojs7s04gNtd38+1bLpcLfr9f2y7dpcPh0AL96OgofD5f1uQkQCotvvkWq1zLmg0ev8tyMGV3UpZl3LhxA08++WTJB8Uf2v0gUN+8t4r37WvlXT1TUYlLIhNyyQ8eKUb1ft5YLIapqSl0dHTk7DU7HI6M+4NV1IFo1RgI5XA40N/fn/PatdvtRm9vLzo6OrRZyUKhkFaPzfV1OBxaChvIvsad7lJvmn14eDirp59rWbNhVOrblD3qSkjvUdN1aoJoXAKBQEZQyxWMVdxuN7ce84ULF8reNhwOaz1ku92Ojo4OuFwu+Hy+jOvSPOu7GfV70rMRuZYRtcOUgdpqteLo0aNl9VoOpfWov3dvlWe1TEklLolMyCU/BEGo6Po0kAp66nXb7u7urJm80unu7kY0GuXyUI5KrmU7nU44HA5tFHc0GoXf70dfX1/G55ZS31JdDgwMZPXKcy1rRnj8LsvBlIFalmXMzMyUdT/bkT0PZpX53gL1qCtxSWRCLvnBGMPa2lrFA3e8Xi/Onz8PoHCPGkDdzJrl9Xpx/PhxiKKIWCwGl8uVM0jqrW+pLnN9FwXpFLx+l6ViykANANu3by++Ug7ad7SgbXsLAGBugXrUQPkuiWzIJT8q6bWoI76BVO/T5/PpGrFcL7coqY/njEQiBR8Kore+te4BNjJGuBSYEWPNN7G8vIy2tjYsLS1h165dVf++n/7DV/Gt+RgA4I3/+Elsa6FUJUHkIh6PY25uDkeOHMG2bduMrg5BmIpCfz+lxD1T9qglSUIoFIIkSWVt79jzYGaZZr9OXalL4gHkkh+MMayurhpyz2qjQS75YZRLUwZqQRDQ3t5edgriSFqgFu82d6Cu1CXxAHLJFxqUxw9yyQ8jXJryPmqr1YrHHnus7O0dDz8YUPbmnfs8qmRaKnVJPIBc8kMQBEq1c4Jc8sMol6bsUUuShMnJybJTjI8/QoFapVKXxAPIJT8YY7h//z6lazlALvlhlEtTBmqLxYIDBw7AYimv+od374TVkkpPzjZ5oK7UJfEAcsmXlpYWo6vQMJBLfhjh0pRHFIvFgkOHDpV9QNxis+DwuxOfRO7eh6w075lmpS6JB5BLfgiCgK1bt9L1fg6QS34Y5dKURxRJkjAxMVFRivHxvak5vjckBfNNPJUoD5dECnLJD8YYVlZWKF3LAXLJD6NcmjJQWywWdHZ2VtRzeW/aderv/mCFR7VMCQ+XRApyyZetW6v/zOtmoRouY7EYPB5PwQlZ1KePNRJG/C5NeUThcS3wif0PbjB/43ZzB2q6rsoHcskPQRCwZcsWStdyoFou1dnT8hEOh3HixAmu32k0Rv0uTXlEkSQJly5dqijF+ETa4y3feGeZR7VMCQ+XRApyyQ/GGJaXlytOMerp9TU6vFxuRn3CVz6CwaD2IBT1+dsejwd+vx9DQ0Nc61IrquWyGKYM1BaLBUePHq2o53Jo905sa0lt/8Y7zd2jrtQlkYJc8oXHvOnFen2b4fH0rEopJajpra/Rc9Crj+4EAJfLpT1n24wY4dKURxSLxYK9e/dWdEC0WgS875FUr/p791axmmjOXhAPl0QKcskPQRDQ0tJScYqxWK8vHZ/Ph2g0mrEsHA6jq6urojoUIhaLYWhoCIIgoLe3F36/X3dQ21xft9uNzs7OrPVKdZnrxKDUHrDP58t4uld3dzeCwaD2oJTp6em6eQBKKfD6XZaKKY8oyWQSL774IpLJZEWf8/5HU9epGQNu3G7O9DcvlwS55ImiKFhaWoKiKDX5vnA4jI6ODjgcDm2ZGhyrmTa32+1aQLt48SJcLpeuoJarvr29vXA6nVnfUarLvr6+rEFguZYVIhKJZNU5FArh+PHjADJ72Gai1r9LFVMGaqvVihMnTlQ85+pTj7Zp5Wu3liqtlinh5ZIglzwRBAE7d+6sWc9lYGBAu56q4nK5cga+YpTa+wwGg3A4HBmBrVhQy1XfQCCgBfd0SnWp1iP9+d25lgWDQYTDYQwPD2eczKSfZKQjiiJGRkYwNDQEr9erqy71Rq1/lyqmnOvbYrHoerZsMY4eSAvUbzdnj5qXS4Jc8kQQBNhstTk8xWKxjJ5ppdy7d6+k9QOBQFYgVoNaLBbLCmr56hsMBnHu3Lms5eW4PHfuHPx+P/r7+/Mu6+7uztkrDgQCGBwczFnn9HQ4L0RRRDAYxPHjx7NOrMLhMKamptDd3c1lH9fyd5lOVb7R4/HgwoULVbsGkUwmMT4+jmeffbai6dye2NcKq0WArLCm7VHzckk0ocvJ/wF88w+Lr7f/g8DP/lXmsr/8J8Dtb+fdhAFgTAE++suw/OivlF1FtdenkquHPDIyYuhtRFNTU7hw4YL2ulhQy1ffcDgMp9MJURQRDochiiL6+/uhKAqWl5exa9cuWCwWLbBFIhG43W6Ew2GEQqGMY7bT6YTH48kI1LmWbSYWi+W8Tj4wMKBXR0n4/X5Eo1F0dHTg/PnzcDgcGB0dBZCKQz09PTh79qw2qLCcDEk6m13WCu6BOhwOY2hoKOOHxxubzYZnnnmm4jObbS1WvPeRVty4vYx/+MEK1jYk7NhiyiRD2fBySTShy8QKsPJ28fXaDmQvW1souK3w7j+2UdkdGfl6felEIhEtzWwE4XA4o47Fglqu+qpBOhaLaeWBgQH09/dDEAS0trZq6dpgMIi+vj4Eg0H09vZienoaHo8Hbrc7o3O1eWBdvmXppF9zT2dzD1slFosVbe/u3bsLnhyo3+dyudDV1aW1w+12a73o7u5u+P3+igP1Zpe1gvsRRRRFrmmkXAiCgF27dhVfUQcfOtiGG7eXoTDg2q1lfPhIc6UuebpsdprO5dZWoPXR4uvt2JN7mY5tha3l+Sx0IN18D2wsFis7+5cr0ASDwYyBV4UCTTAYhN1uz/j+fEGtUH2DwSCAVO9cvXY9PT0NIOUifdzE2bNnAaSCu5oqj0QiBb+zWtjt9qLtzcfmExwAeOmll3DkyBH09fVlxSEeGd7NLmsF10Dt9/vhcrmqPm1cMpnE2NgYzpw5U3GK8YPvseOLV+YBAN+aX2y6QM3TZbPTdC6f/uXUv3LYnArfREaKsYyPL2VCCrvdXvb907kCjcfj0R18cl2f1vOdm+sbCARw4cIFiKIIt9udcV17c7pWDVjDw8NamriSk5VKqKRHbbfbEY1GM+ptt9tx/PhxDA0NZfSo1e+qFNOnvkvZ0YlEAolEQnu9vJwayCXLcsb/rVZrRlmSJO1i/ic+8QlNlCRJsFgssFgsGeVkMgmr1aqVbTYbBEHQygBwdP+DOb/DNxcBpP7IJUlCS0sLFEWBLMtaWVEU2Gy2vGVZlsEY08q52pGrTWo5VztKbZMkSRnllpaWvG2yWCz4xCc+0VBtMmo/AakUm81ma5g2SZKkBT1FUSAIAgRByFlW/3bSyxaLBYyxvGUg1UvJVd61a5f2Ot86hcqRSATPPvssIpFI3nUURYHD4YAoivjQhz6Us00AsLi4CLvdrqtN6ufrqaOaht68fiAQwNDQkHat2ul0atuq9T127Ji2/tTUFMbHxyEIAjo7O8EYw5e+9CV8+tOfzsj0eL1eRCIRnD17FqIo4siRI1AUBSMjIzh//nxGO9rb27Pq1dHRUfb+yFW22+34vd/7vaLr5/q9ORwOjIyM4MiRI1o9f/M3fxMjIyPw+Xzo6enB1NQU2traYLFYcO/ePSiKouu3V6icnvoutr66jno71+bjnl64nRKMjIzoPjMcGBhAW1ub9u/gwYMAgGvXrgEAbty4gRs3bgAArl69itnZWQDAzMwM5ubmtOXz86me8OTkJG7fvg0AmJiYwMLCAgDg0qVL2lnU+Pg4VlZS17vGxsYQj8chSRJmp1/Gzq2pVMY3/+Ed7eko4+PjAFInIJcuXQIALCwsYGJiAgBw+/ZtTE5OAgDm5+dx5coVAMDc3BxmZmYAALOzs7h69aruNl25coVLm8bGxiBJEuLxOMbGxgCgYJvUujdSm4zYTy+//DKWlpYaqk1TU1PaQWZlZUUL9MvLy9pydUrF9OkV1TLwoBcCpE7CVReSJGnlZDKJ+/dTz4bf2NjA2lrqiXaJREIrx+NxrK+va+V4PA4AWF9f18pra2taJ+CRRx7B4cOHAQD379/XDowrKyvaNK8rKyv4+Mc/jlAolNWmQCCgZQcHBgYwOjqqq00bGxs527S6uqq16fXXX8fQ0BDC4TCuXLmCcDic0aannnoKra2t6OzsxBNPPKG1aXV1FSdPnkQoFNLaJIoiPvaxj2lt+tSnPoWRkRE4nU4sLy9n7LMjR47A4XDg9ddfx/DwMLxeL/7bf/tv6Ovry2hTKBTCyZMnM/ZTOBzGxz/+8bxtKnc/ra6uas4K7adcv733vve98Hq9GBoawq//+q+jr68PbW1tcLvdGBwcRHd3Nz796U/D4/HgF37hF3T99oq1KZFIaGU9bUokErh79y6AzOPe5cuXoRvGgUAgwBYXF7XXDocj4/Vm4vE4W1pa0v7Nz88zACwajTLGGJMkiUmSlFVOJpNMkiS2sbHBvvzlL7N4PK4tl2U5q7yxsZFRVhQlo6woCtvY2GD/7OLfs0Oe59khz/PsrXur2nLGGJNlOaOcTCYLliVJyijnakeuNhVqRzltSi8zxvK2KR6Psy9/+cva5zZCm4zaT2tra5rLRmnTysoKe/3119n6+jqTZVlrR66yoihZZbVN+crqZ2wuy7LMFhcXM76n0Pq5yuPj4+z3fu/32OLiIhsfH2dTU1NZ66if73K5uLXpc5/7XFn1Vct9fX1sfHycnT9/nnm9XjYyMpL1mS6XK+/nbG6H6lKSJN1t+tznPsdmZ2czPru/v5+9+eabZe+PSsq1/O0VKqf/LvWsv76+zl5//XW2urrKGMv821pYWGAA2NLSEisG1x61z+eDz+eDKIoYGBjIO6PP1q1bsWvXrox/ALSL9FarNWfZZrPBarXCZrPhzJkz2LJli7ZcTT2ml9XUrlpW0xVqWZ0O7vjhdq1u0zcXteVA6t7Y9LKaqsxXVutXqB252lSoHeW0Kb0MIG+btmzZgjNnzmjf0QhtMmo/bdu2TXPZKG1SU/bqdxUqC4KQVVbblK+sfkauspr6LrROoXIwGERnZydEUYQgCFr2IH0dtb5utxt//dd/zaVN//bf/tuy6isIAmZmZiCKInp6etDe3o6Ojg709vbi4sWLiMVi2vputxtf+tKXcn5Orn2jXlPV0yb1ex577DFtuZop6uzsLHt/VFKu9W8vXzn9d1nKtvmOe3rhEqi7u7vR19en/QNS885WOhS+EDyfUHT80IMBZK/NFb79oBGhpz3xg1zWD+FwGIFAAEDqGLV5Jq90uru7EY1GuQw4qmRQltPphMPh0EZxR6NR+P1+9PX1ZXwuz/puZmBgIGswXK5lRO3gOmxNnWAeSN1iUK05ciVJwvj4OLeDovOQHTZL6uzntbnSZhUyO7xdNjPkkh+M0+MEvV4vzp8/DyBz+stcVGPWrHLwer04fvw4RFFELBaDy+XKGST11rdUl7m+i4J0Cl6/y1LhGqjtdjv6+/vBGIPX661aj7qlpQU/9VM/xe0WmB1bbPjgQTsAQLy7ijsrcS6fawZ4u2xmyCU/1NuIyr0FRk0fA6nep8/n0zW9a7080UmdSSsSiRTs8Oipb6UuiQcY5VJgtT41yMHy8jLa2tqwtLSka8II9u7IbJ4zxAx97Q380TdSN/3/wT/5EH7qQzlmU2pAquGyWWlEl/F4HHNzczhy5Ai2bdtWs+9l797Skn49kigPcsmPUl0W+vspJe6Z8hRLkiS8/PLLXFOMT3c+mD1p8s3mSX9Xw2WzQi75oZ701EE/wvSQS34Y5dKUkxK3tLTgueee4/qZxw+3Y6vNgoSk4JU3FzImbmhkquGyWSGX/EifQYuoDHLJD6NcmrJHrSgKotEo14d3b2ux4sTh1DWsW7F1iAur3D67nqmGy2aFXPKDvTtDG/UCK4dc8sMol6YM1LIsIxQKaTPV8OKZxx+kv7/x3btcP7teqZbLZoRc8oMxhtXVVQouHCCX/DDKpSkDdUtLC06fPs19dO3Hn9irlb/x3TtcP7teqZbLZoRc8sNisWhzNJeLeo9xOfcaV7JtvcHDJZHCKJem3HOKouDOnTvcU4yP730Ij7alRua9Jkaxmmj8QUHVctmMkEt+MMaQTCbL7rmIoqhNGuLz+Wq2bT1SqUviAUa5NG2gvnbtGvcDoiAI+MSTqV71hqxg4h8aP/1dLZfNCLnki/rgg0YhHA6jp6enaC9dvQe8s7MTvb29XN67fv06nn32Wa6f2azvpf8ufT4fBEEoOplOxRSdDbwGLC0t6Z6cvNp847t3tAd0/PpfzRhdHYIwlPX1dXb9+nW2vr5e8WdJssIm31xgX575Ppt8c4FJssKhhrmJRCJsdHSUMcbY4OBgzbbNR19fH3O5XAxAwQcWMZZ6qFEgEGCMMeb1ell3dze9V2fvMcbY4uIiczqdzG63s0gkwnJR6O+nlLhnykAtyzL7/ve/rz2FhCeJpMye+vdfY4c8z7Mf/u2vsUSS/3fUE9V02Ww0oktegfqr33mbfeR3g9pJ8CHP8+wjvxtkX/3O2znXVxSFJRIJ7WlEpVKLQB2JRJjL5WIul0tbP53p6emsZcUC9fT0NHM4HBnL7HY7W1xcLPu9qakpduTIkQyXlX5ms74XjUa132VfXx/zer3M4XBUPVCbNvUdiUSqkmLcYrPg1Lvp7+W4hMnIAvfvqCeq6bLZIJe5+dq12/jF/xPG7aXMqXnfWYrjF/9PGF+7djvnduqzfXkjiiJ8Ph88Hg9EUYTf74fH4yl54JjH48Hg4CAuXryIUCiEnp4eLQUai8UwPDxcVt0cDkfGMofDAVEUK3pPfS43z89s1vcSiYQ2jqFW88ObMlDbbDacPHlSe6Qfb37i6H6t/MLV3AeRRqHaLpsJcpmNrDD8zt9dR66hN+qy3/m765CVzDUEQajaVKzqAbanpwe9vb1wuVzw+/2IRvU/OS8cDmNwcBAOhwN2ux2Dg4Pwer3weDzo6urCqVOn4Ha7S65bNBrNOaFGNBot+73FxUXs3r07y2Uln9ms7y0uLqK1tRWf/exna/qgElMeURRFwfz8PA4ePFiVYfI//r6HsXOLFasbMr72+jv4jz99FNtarNy/px6otstmglxmc2UumtWTTocBuL0Ux5W5KD7aufvBcsawsbGBLVu2cA/WZ8+eBZAKtufOnQMARCKRkj5DfeCQ3+8HkHrwh8PhwOjoqLZOObd2dXR0ZG0niqK2vJz3FhcXEY1GM2ZbrPQzm/W99vZ2fPGLXwSAgo9N5Y0pjyaKouDWrVtVSzFua7Hi9FP7AAArcamh76mutstmglxmo/dJdLnWSyaTvKsD4METp4aHh7WDbTlBtbe3F6IoIhqN4vz589ojflUGBgZK/kw1vZpOLBaDw+Go6L25uTnun9ms7125cgWiKKKzsxOdnZ3a6PBq3spnykBts9nw9NNPVzXF+JMfelQr/3X4VtW+x2hq4bJZIJfZ7G3V98StzesJgoCHHnqIe29avTYdDoczrkOOjIyU9DmiKOLChQvo7+9HX18fRkdH0d3djd7eXnR1daGrq0vrrRcjvfe2uafu8/nQ3d0Nu91e9ntdXV0QBAFf+tKXuH1ms77X3t6Oz3/+84hEIto/AAgEAtW9Xl10uFkNKHXUtyRJbHZ2lkmSVLU6JSWZHf9PAXbI8zzrvPACW1iJV+27jKQWLpuFRnRZ6ahvSVbYR343yA6njfZO/3f43dHfm2/VUhSFra+vcx/1HQgEmNfrZaOjo1rZ6/Xq2rYS+vv7mdPpZACYw+FgLpdLe8/lcmV8TyQSYd3d3dp66aPEy3lPURR2/fp1rp/ZrO/l+l0CqPqob1M+j1qSJMzMzODYsWNV7b0MjN2AdyKV/vit557Ev3rGUWQL81Erl81AI7rk8TxqddQ3gIxBZWpf+QufceKTaQM4gdQ16rW1NezYsaOsXrUoigiHw3C5XBgaGkJ/f39Ntq1HKnVJPKBUl039PGqbzYYTJ05U/WDYe/ygVv7ilbcacgq+WrlsBshlbj55dD++8Bkn9rVlHqj2tW3LGaSBVOp7586dFFg4QC75YZRLUx5RZFnG7OwsHn/8cVit1RuN/djeh/DhIx24MhdF5O4q/l7MHJnaCNTKZTNALvPzyaP70fP+fbgyF8WdlTj2tm7Dh490wGrJfcBjjCEej2Pbtm0UYCqEXPLDKJemDNRA7eYB/mc/8kO4Mpe6v/LPv/m9hgvUQOPNqWwk5DI/VotQ0t9PJRksh8OBjo7U8+VLHeRTybb1SiNmA43CCJemTH1brVYcO3asJr2Wnzi6H3se2goAGL/+A3x/ca3q31lLaumy0SGX/BAEoeJrquptWLkmrqjmtvUGD5dECqNcmjJQy7KMa9euQZblqn/XFpsFP/eRQ6nvVRj+9NXvVf07a0ktXTY65JIfjDGsr69TT5AD5JIfRrk0ZaCuNZ/5yA9hqy2l6otX3sLSWnUmYiAIgiCIzZgyUFutVhw9erRmKcbdD22Fq+s9AIDVDRl/9s3v1eR7a0GtXTYy5JIfgiBg+/btlK7lALnkh1EuTRmoZVnGzMxMTVOM7pOd2gjVP3llDivxxuhVG+GyUSGX/FDvV6V0beWQS34Y5dKUgRoAtm/fXtPv+6HdO/DTHzoAAFhaT+J/vfK9mn5/Nam1y0aGXPKDeoD8IJf8MMKlKQO11WrFE088UfMU46984jGtV/0/XxaxuLpR0++vBka5bETIJT/qJV1bzsM66o16cdkIUOq7BCRJQigUgiRJNf3ew3t24uzx1LXqlYSE/37pzZp+fzUwymUjQi75wRjD6upqxSlGt9uNzs7Osrb1+Xy6n1G9+clZ9QQvl4RxLk0ZqAVBQHt7uyFniL966r3Y1pLS9hd//z3MLazWvA48MdJlo0Eu+cIjM9Hb26s9CSmdWCyGoaEhxGKxrMcZAqlnVXd0dGhP1ypGX18fPB5PxfXdXIeenp6ivXr1MYudnZ3o7e3NuQ5lefhhhEtTBmqr1YrHHnvMEGH72rah792HcyRlhv/4/PWa14EnRrpsNMglPwRB4DJNYyAQQE9PT9Zyn8+HSCQCn8+XM1APDAxoz6rWgzoxSq7PKge3242BgQEEg8Gi6/b09MDj8SASiaCnpyervbxcEsa5NGWgliQJk5OThqUYP/vjndi3K/WAgUtv3MH46+8YUg8eGO2ykSCX/GCM4f79+xWnGIPBII4fP561/N69ewBSAXZzjzUWi+nuSadz7tw57fnFuRBFEb29vejt7c25Xjgc1sperxejo6NFv1Pdpru7G0CqZz81NZXRJl4uCeNcmjJQWywWHDhwABaLMdXfscWGf/fck9rr//C3r+N+wpwHZ6NdNhLkki8tLS0Vf0Y4HIbT6YQoivD7/dq15MHBQXR1daGvry+r5zwyMoITJ05kLBNFET6fDx6PR/ssj8eTERCdTicCgUDeung8HgwODuLixYsIhULo6enReuCxWAzDw8Mlt08UxayTCofDkdWz5+GSSGGES1MeUSwWCw4dOmToAfEffWA/nnl8DwDg7aU4hr72hmF1qYR6cNkokEt+CIKArVu3VpRiVIN0LBbTyunBMN8DNyKRSFbwCwaD6OvrQ09PD3p7e+FyueD3+7MGm+UbfBYOhzE4OAiHwwG73Y7BwUF4vV54PB50dXXh1KlTcLvdJbcxGo3mnI88vR48XBIpjHJpyiOKJEmYmJgwNMUoCAJ+9x//MLa3pK5H/vk3b+LVNxcMq0+51IPLRoFc8oMxhpWVlYpSjOr13ampKbhcLjgcDkxPTxfdLhaLZQW/s2fPAkgF3HPnzgHIHdDz4XQ64XA44Pf74ff7tfT66OgopqenMT09rT2xqxQ6OjqyUveiKGZ8Fg+XRAqjXJoyUFssFnR2dhrecznYsQP9n3yf9vo3Rr6N2Jq57q2uF5eNALnky9atWyvaPhAI4MKFCxBFsaTeaq7r1mrgHh4e1lLlpd5j3dvbC1EUEY1Gcf78+axbugYGBkr6PCB3mjvXNfZKXRIPMMIlt+dRh8Nh7Qw2FArh4sWLVXtEnHotsB74+Y8eRuD6DzAZuYd3luPo91+F9+e6TJNmqieXZodc8kMQBGzZsqWiz5iamtKuGav3Uvv9/qKjuTs7OyGKonZblzpC/Ny5cxnXhEdGRrLS5/l6xaIo4sKFC9pn9vX1IRwOa8EbAC5evKirXeoJgt1u1z5PbZfP50N3d3fGsZeHSyKFUS65nfoHg0H09/ejv78fJ06cwKlTp3h9dBaSJOHSpUt1kWK0WAT8/tkPwr4jNcBg/PoP8CevzBlcK/3Uk0uzQy75wRjD8vJy2SlGURS1kdAAtGvK6sCyoaEheDyejAFmKt3d3QiFQtprh8OhBe/R0VH4fD74fL6sIK3e95wLh8ORdT+30+nMSH2nv69euwaArq6ujPujz58/D5/Pp70OBALwer3o7OxEIBDIGi1eqUviAUa5FBiHbwyHwzh16hQWFxcBpP5IOjs7dV/DWV5eRltbG5aWlrBr166i6yuKgoWFBezZs6du0owv3fgBfuHPpgAAVouA//MLP4KPdu42uFbFqUeXZqURXcbjcczNzeHIkSPYtm1bzb6XMQZJkmCz2bhnp4LBIDo6OjA8PIzBwUH4fD50dHRk9LR7e3t13R6VjsfjgdvtLuvWrmpSTZfNRqkuC/39lBL3uBxNnE5nRtpGTc2UMzhCDxaLBXv37q2rg+GpJx/BL/14Kr0mKwy/9H+n8da9NYNrVZx6dGlWyCU/BEFAS0tLVQJLd3c3gsGg1vudnp7OukzndrsL3hO9GfWYV29BGqiuy2bDKJfcjijpZ6PDw8NZ10l4kkwm8eKLLyKZrK9HTf7Gs+/Dx977MABgcS2Jf/6nV+p+cFm9ujQj5JIfiqJgaWkJiqJU5fNDoZA2EcrmNDmQCubRaFT3gLGBgQEMDg7yriYXqu2ymTDKJfdT/1gsBr/fXzBtlEgksLy8nPEPgPYcX1mWc5YlSYIsy7BarXA6ndpZjSRJmrj0cjKZzCirWX61zBjLKgPIKCuKklFWrz/mKlstAv7g3AfQ+fBOAIB4dxX/8k9DWNuQirapUDuq2SZBEOB0OmG1WvO2T5bljLLe/WRUm4rtp2q1iTGG48ePw2q1NkybJEnS6q4oSsEyYyyrrLYpX1n9jM1lANi5c2fG60Lrl1oWRREjIyMYHBzEH//xH+ds0/nz53W3SR2xzbOO5ZY3t0MQhAyXPPeTUW2q5m+vUFkQBOzYsQMqerfNd9zTC/dA7fF4EAgECvamBwYG0NbWpv07ePAgAODatWsAgBs3buDGjRsAgKtXr2J2dhYAMDMzg7m5OVgsFszOzuLWrVsAgMnJSdy+fRsAMDExgYWF1P3Mly5d0s6Ix8fHsbKyAgAYGxtDPB6HJEkYGxuDJEmIx+MYGxsDAKysrGB8fBxA6sTj0qVLAICFhQVMTEwAAG7fvo3JyUkAwPz8PK5cuZJa5/b38W+6tmHPQ6kh/OG3YnD/xTS+fe16wTYBwJUrVzA/P1/TNkWjUXznO9+BxWLJ26a5uTnMzMwAAGZnZ3H16lVd+8moNunZT9Vo0yuvvAJZlmGxWBqmTVNTU9qBZWVlRQvsy8vL2nJ1cA1jLKsMpA6m6SfjqgtJkrRyMpnE/fv3AQAbGxtYW1uDzWbTykDqet/6+rpWjsfjAID19XWtvLa2hkQiAQBYXV3FxkYqo3X//n3twDg/P4/Dhw+jr68Pn/3sZ3Ho0KG8bWpra+PWptXV1AN8EokE9zatrKxoJ2m59pPNZqvKfjKyTen7qVZtEgQBkiRpddfTpkQigbt37wLIPO5dvnwZeuEymExlaGhIm1gg/RaCzSQSCa1BQEr2wYMHEY1G0d7eru0Qq9WaUZYkCYIgQFEUvPjii+jp6cHWrVshSRIsFgssFktGOZlMwmq1amV1AIBaBqANDFDLLS0tYIxpZUVRIMuyVlZ/9PnKsiyDMYbv3lnFOe/fa1OLfvx9D+MPf/YYdmxtydkmtZyrHdVsUyKRQCAQwOnTp7Vedb42qeVc+6ae2lTKfuLZpvX1dbz00ks4ffq0tp3Z23T//n289dZbcDgc2LJlCwRB0P4GN5cBaL0OtWyxWLSDZ64ykMrqbC6rB9tdu3Zp31No/VLK/f39mJubw+joaM52VKtNtSpvbgeQOsa2trZq4yfM3iaj9lP671LP5yQSCYiiiMOHD2PHjh0Zf1v37t3Dnj17dA0m4xao/X4/7HY7uru7EYvFct5jmI9SR30zlpodprW1ta4HSEx9L4qf+5MrWE+mDo4n3/swvJ/pwvYt9fN0JbO4NAON6NLIUd+KosBisTSMS6Mgl/wo1SWvUd9cArV6O1Y6drtdu12rGKUGajPxzcg9/Ms/DWnBuutQO/7k54/DvoMmICDqH6MCNUE0AnV1e5bD4dDSCuo/vUG6HJLJJL7yla+YYnTtRzt34y9+4cNo3ZpKcU7fXMTPfGGybm7dMpPLeodc8kNRFMRiMRqpzAFyyQ+jXJryhk+bzYZnn31Wu75X7xw/3IEv9n1EG2AWubuKn/6jV/GaeM/gmpnPZT1DLvkhCIJ2fZqoDHLJD6NcmjJQAzDdwfDogTb89S8+rd26FV3dwD/7n6/hf786B07DBMrGbC7rGXJJEARvTBmo029tMRM/tHsH/voXf1R7jrWkMPzO313HL/3fMJbWjUmXmtVlPUIu+ZF+uw1RGeSSH0a5NGWgttlsOHPmjCl7L207WvC///kJuD/2YKrBr157B2f+4GX8vQGpcDO7rDfIJT/qOV1b6uMtjaaeXZoNSn2XiJl7LTarBRd+4kl4f64Lu7alDuq3Yuv4pxf/Hv/hb1/H2kZt22Zml/UGuawv3G531h0pleDz+RCNRnWtu/mpXARRLqYM1JIkYXx83PQHxdNP7cNXf+0kfuRI6uEljAF/Ovk9PPv5CXz9jTs1qUOjuKwHyCU/eKUYe3t7sx4vCaR6xUNDQ4jFYtrzoAstB1JPCezo6ND94I2+vj54PJ6K6q8H9fGa+Xr6qstIJIKenh50dnZmPDaT0A+lvkugpaUFP/VTP4WWlhajq1IxB+zb8cXzH8FvPfckttpSu+P7i+v4F38aQt+fT2E+Wt3buBrJpdGQS35YLBbY7faKn0QWCARyPiPa5/MhEonA5/NlBOR8y4HU1MfpDx8qhjor4+bP4Ynb7cbAwACCwWDedVSXp0+fhsfj0QJ2vmdnE/nh9bss+Xtr+m2caLTBERaLgH/1jANf+7WT+KjjwTOsx6//AKd+/zIGvnqjaoPNGs2lkZBLfjDGtClRKyEYDGpPyUrn3r3UeBC73Z7RE823PBaLlfUIy3PnzhV9XKYoiujt7UVvb2/OdcPhcN5tvV5v0edmM8YQCoUAQHtKWF9fH6ampkx3vd1oeP0uS8WUgVqSJLz88ssNl2I8smcn/vL8j+Dz5z6Ih1tT91xvyAq8l0WcHPo6vvCNCPfr143q0gjIJT/U6VgrPSCGw2E4nU6Iogi/369dNx4cHERXVxf6+voyesn5lo+MjODEiRMZny2KInw+Hzwej/b5Ho8nI/g5nU4EAoGCdfR4PBgcHMTFixcRCoXQ09Oj9cJjsRiGh4crcsAYw/Xr13HkyJGM5Q6Ho6q9/UaE1++yVEwZqFtaWvDcc881ZIpREAT842PvwaXf+Bg++7FObHk3Hb60nsTg197AM4OpgL0S59PDbmSXtYZc8oNHilEN0rFYTCunB718zyLItTwSiWT1qIPBIPr6+tDT04Pe3l64XC74/f6swWaFBp+Fw2EMDg7C4XDAbrdjcHAQXq8XHo8HXV1dOHXqFNxudynNzsJisSCRSKC9vT3rPb0D44gURqW+TXkfiTqNmxHCakXrthb85k88gc985Ifw+cAs/mbm+1AYcG91A4NfewNf+Mab+MxHDuHnnz6MR3aVPwdzM7isFeSSH2qK0Wq1ln0rjHrddmpqSusdT09Pl/VZ6n5N5+zZswBSwfbcuXMAUgG9FNSBbmrKu7u7Gw6HIyOdXWl6mr37uM7NnyOKIjo6Oir67GaDx++yHEx5NJFlGaFQSHtkXyPznvYd+P2zH8T4r5/Epz74KNTfxnJcwh99I4IfG7yEX/urGYTfWiwrHdNMLqsNueQHYwyrq6sVpRgDgQAuXLgAURQr7pVuvmatLgOA4eFh7USgnKDa29sLURQRjUZx/vz5rNu6BgYGyqmyBmMM+/bty0pzl3vdvZnh8bssB67Poy6XRn56Fm8id+/DezmCv5m5haScuevev38X/umHD+InP3QAbdsp/UpUjpmfntXe3q49HKizsxORSAR+v7+kkdsqPp8PHR0d2rbq6PBz587h1KlT2vf4fL6s1HlPT0/e69SiKCIWi2XcQhYOhzEwMKAF1osXL+a8xSwdQRCwuLiY0etXTxrUZZ2dnRgcHITL5YLP58Po6GjR6+dEZdTVYy4rpdRArSgKFhYWsGfPnqZNMf5gOY4//+b38JevvYXFtczr1VttFjz71D78jPMAfuyxPbBZczuSFYbXxHu4e/cOHn54L37EsRtWC81eVC6N+Ls08nnUkiTBZrOVlWIURREej0dLIXs8Hpw4cSIj1Xzv3j2cOHECoiiiv7+/6Od5vV4MDg4CSKXV1dSx3W7XgurmIB0OhxEMBot+frl4PB4Eg0GEw2E4HA44nU6tzb29vThx4gQ+97nPQZIkvPXWW/jsZz8LURThdDpx8eLFrHQ+UZhSf5dNHaglScLExAROnjzZ9NM1xpMy/vbbb+P/vvYWvj0fy3p/984tOPPD+/HcB/bjxOEOLRB/7dpt/M7fXce9lXX8mx+W8V+/Y8Xu1u347U+9H588ur/GrWgMGvF3aWSgXllZQWtrK/drgcFgEB0dHRgeHsbg4GBWbzkfvb29RW+F2ozH44Hb7TY0xVxNl81GqS6bOlATubn+9jJGpubx5W/dQmwte1T4noe2oOf9+9CxswV/+PXsQS/qz+4Ln3FSsCYAmDv1XYihoSE4nU50d3fD7Xajt7dXu8c4H8FgELFYTHfqPBaLYWBgQOuFE80Hr0Btyvycoii4desWPQh9E+9/dBf+w08+hSv/thven+vCmR/ep812BgAL9zfwxStvZQRpAQzvb1NgERjUM7bf+bvrkBXDz99MB/0u+cEYw8bGRtUG7YRCIW0iFFEUiwZpIDUiOxqN6h4wVi9ButoumwmjXJoyP6coCiKRCB555JGGuRbIky02C04/tQ+nn9qH+wkJwes/wFev3cY3vnsXCSkziDAIuL4koEVgUAAwALeX4rgyF8VHO3fn/HwiN/S75EsikajaPemiKGJkZASxWAxer1f3dn19fboDdT0EaZVqumw2jHBpykBts9lw8uRJo6thCh7aasNPHzuAnz52AGsbEv7L+Hfxv175XtZ6SZZ5veXOSrxGNWwc6HfJD0EQ0NraWpXPVm9LyjfhSTHMNgCrmi6bDaNcmvK0X1EU3Lx5k1KMJbJjiw09T+7LWCaA4dBDCqxCZipnb2vjXI+sFfS75AdjDIlEoiopxkrvSzYb1XTZbBjl0rSBmq4FlseHj3Rgf9s2beBYiwX4iYMM1ncXCAD2t23Dh4/QjEWlQr9LviST1XkQzeDgYMmjt81OtVw2I0a4NGWgttlsePrppxvmFphaYrUI+O1PvR9AKihvKAL++IYVG4qgBe/f/tT76X7qMqDfJT8EQcBDDz1EtxNxgFzywyiXpgzUsizjzTffpKkay+STR/fjC59xYl/bNlgFhh/fn0p972vbRrdmVUAj/y5rnepjjCEej1O6lgPkkh+luuTl3JSn/owxLC4u4vDhw0ZXxbR88uh+9Lx/H16L3MXd772BvjNP4Ec6H6aedAU04u9SHd26traG7du31/S7G/GExyjIJT9Kcbm2tgYAFY8SpwlPCIIoyO3btxGLxbB3717s2LGDUqgEUQTGGNbW1nDnzh3Y7Xbs35+dpSwl7pmyRy3LMmZnZ/H444/DarUaXR1TQy750agu9+1L3Slw586dmn1npXN9Ew8gl/wo1aXdbtf+firBlIEaANbX142uQsNALvnRiC4FQcD+/fuxd+/emo14lWUZ3/3ud9HZ2dlQJz1GQC75UYrLlpYWbr4p9U0QBEEQNabh5/qWZRnXrl2jARIcIJf8IJf8IJf8IJf8MMqlKQM1QRAEQTQLlPomCIIgiBpjulHf6rnC8vKyrvXV9MPRo0dpcESFkEt+kEt+kEt+kEt+8HSpxjs9feW6CNQrKysAgIMHDxpcE4IgCIKoHSsrK2hrayu4Tl2kvhVFwdtvv43W1lZd96YtLy/j4MGDmJ+fp1R5hZBLfpBLfpBLfpBLfvB0yRjDysoKHn300aLPr6+LHrXFYsF73vOekrfbtWsX/fA4QS75QS75QS75QS75wctlsZ60Co36JgiCIIg6hgI1QRAEQdQxpgzUW7duxW//9m9j69atRlfF9JBLfpBLfpBLfpBLfhjlsi4GkxEEQRAEkRtT9qgJgiAIolmgQE0QBEEQdUxd3J6lF1EU4ff74XA4IIoi+vr6YLfbja6WKQmHwzh//jymp6eNrorpCYfDCAaDAIBQKISLFy/S77JMVI+xWAyhUAjnzp2D0+k0uFbmx+Px4MKFC/S7LJNwOAwAcDqdEEURsVistr9LZiKcTqdWjkQizOVyGVgb8zI6Osqmp6eZyXZ/3TI4OJhRTv+dEqVht9vZ9PQ0Y4wxr9fLHA6HwTUyP+rf+uLiotFVMS19fX0MAAPAuru7a+7SNKlvURQzXjscDu3smygNl8tFvRROhMNhDAwMaK9dLhfC4XDW75XQx+joaMZvk3qAlSOKIhwOh9HVMDVdXV1YXFzE4uIiAoFAzX+XpgnUwWAQHR0dGcs6Ojq0lARBGIHT6cTFixe117FYDACyfquEPrq7u7Xy6Ogo3G63gbUxP36/Hy6Xy+hqNAR2u92wE0fTXKNWD4CbiUajta0IQWwi/UA4PDyM7u5u6glWQDgcxvDwMHp6etDX12d0dUxLLBaj3yEnYrEY/H4/gNQ4FLfbXdMshWkCdT7yBXCCqDXqHzMN0KsMp9MJh8MBj8dDPcIKGBkZoRMdTqQPXHY4HOjp6UEkEqnZ95sm9W2327N6z9FolM4YibrB4/EYcv2qEbHb7ejt7UVvby+djJdBMBjE2bNnja5Gw5A+5kS966iW41BME6jTr12lc/z48RrXhCCyGRoagsfjgcPhQCwWo+BSBsFgEO3t7dprNbVIA/PKY2RkBD6fDz6fD6IoYmBggMb0lEE4HMapU6eyltdyHIppUt+brweIoojjx49T76VC6DpW5fj9fi1dG4vFKOVYJh0dHRkn5OFwGHa7ne5QKIPNHRu3213z66qNgsPhwODgoPY6GAzC5XLV9Lhpqrm+RVGE1+vFiRMnEAqF6Ab+MgkGgwgEAhgaGkJ/fz9OnDhB1wHLRBRFdHZ2Ziyz2+1YXFw0qEbmxu/3a5e4AoEABgcHKbhUQCwWg8/ng8fjQV9fH9xuN534lIE6qZHdbkckEskI3LXAVIGaIAiCIJoN01yjJgiCIIhmhAI1QRAEQdQxFKgJgiAIoo6hQE0QBEEQdQwFaoIgCIKoYyhQEwRBEEQdQ4GaIAiCIOoYCtQE0aS43e6syVoIgqg/TDOFKEEQfOnt7aXHxBKECaAeNUE0KYFAAD09PUZXgyCIIlCgJogmJRgM0tPnCMIE0FzfBNGkCIIAxhhEUUQ4HIYoiujv7ze6WgRBbIJ61ATRhITDYTidTsRiMa08PDxsdLUIgsgBDSYjiCYkGAwCAKamprRHnE5PTxtZJYIg8kA9aoJoQgKBAC5cuABRFOF2u42uDkEQBaBr1ATRhLS3t2NxcREA0NnZiUgkAr/fr/WuCYKoH6hHTRBNhiiK6O7u1l67XC74/X44nU4Da0UQRD6oR00QBEEQdQz1qAmCIAiijqFATRAEQRB1DAVqgiAIgqhjKFATBEEQRB1DgZogCIIg6hgK1ARBEARRx1CgJgiCIIg6hgI1QRAEQdQxFKgJgiAIoo6hQE0QBEEQdQwFaoIgCIKoYyhQEwRBEEQd8/8D7es7hI7swyMAAAAASUVORK5CYII=" 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 29 }, { "metadata": {}, "cell_type": "markdown", "source": [ "## $\\alpha$ (alpha) and $\\tau$ (tau) function\n", "For any $k \\in (0,\\infty)$ define function\n", "$\\alpha_{p,x}(k)\\colon (0,\\infty) \\rightarrow \\left[-1, \\infty \\right]$ by formula\n", "\\begin{equation*}\n", "\\alpha_{p,x}(k) =\\left\\{ \\begin{array}{lll}\n", " I_{\\Phi}^{p-1}(kx)I_{\\Psi}(p_+(k|x|)) -1 & \\text{if } & 1 \\leq p <\\infty, \\\\\n", " -1 & \\text{if} & p=\\infty \\text{ and } I_{\\Phi}(kx)\\leq 1 \\\\\n", " I_{\\Psi}(p_+(k|x|)) & \\text{if } & p=\\infty \\text{ and } I_{\\Phi}(kx) > 1\n", "\\end{array}\n", "\\right.\n", "\\end{equation*}\n", "and, finally, define function\n", "$\\tau_{p,x}(k)\\colon (0,\\infty) \\rightarrow \\left[0,\\infty\\right]$ by formula\n", "\\begin{equation*}\n", "\\tau_{p,x}(k) =\\left\\{ \\begin{array}{lll}\n", " I_{\\Psi}(p_+(k|x|)) & \\text{if } & p =1, \\\\\n", " I_{\\Phi}^{{1}/{q}}(kx)I_{\\Psi}^{{1}/{p}}(p_+(k|x|)) & \\text{if} & 1 < p < \\infty \\text{ and } {1}/{p} + {1}/{q} = 1 \\\\\n", " I_{\\Phi}(kx) & \\text{if } & p=\\infty.\n", "\\end{array}\n", "\\right.\n", "\\end{equation*}\n", "Function $\\alpha_{p,x}(k)$ is called the norm attainability indicator." ], "id": "1bb86156b514c8b1" }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:38:01.303683Z", "start_time": "2024-09-04T22:38:01.299082Z" } }, "cell_type": "code", "source": [ "def Orlicz_function(u):\n", " return np.where(u <= 1, u, u ** 2)\n", "\n", "\n", "x = np.array([[1], [3]])" ], "id": "2a8c44ead993ff77", "outputs": [], "execution_count": 30 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:38:01.921737Z", "start_time": "2024-09-04T22:38:01.345168Z" } }, "cell_type": "code", "source": "osm.plot_alpha(Orlicz_function, du=0.001, u_max=5, x=x, p_norm=1)", "id": "d477d1ebdb2a8a3c", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "for k>2.5097499999999995: p(kx) is out of Psi domain - if needs try bigger u_max or smaller k_max\n" ] }, { "data": { "text/plain": [ "
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" }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 31 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:38:03.698715Z", "start_time": "2024-09-04T22:38:01.936727Z" } }, "cell_type": "code", "source": [ "for p_norm in [1, 2, np.inf]:\n", " osm.plot_alpha(Orlicz_function, du=0.001, u_max=5, x=x, p_norm=p_norm, k_max=2, show=True)" ], "id": "4cdac315fa6e0ebf", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" 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" 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 32 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:38:04.279114Z", "start_time": "2024-09-04T22:38:03.712187Z" } }, "cell_type": "code", "source": "osm.plot_tau(Orlicz_function, du=0.001, u_max=5, x=x, p_norm=1)", "id": "f6242b8dfcd11a7b", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "for k>2.5097499999999995: p(kx) is out of Psi domain - if needs try bigger u_max or smaller k_max\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": 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" }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 33 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:38:06.088926Z", "start_time": "2024-09-04T22:38:04.290026Z" } }, "cell_type": "code", "source": [ "for p_norm in [1, 2, np.inf]:\n", " osm.plot_tau(Orlicz_function, du=0.001, u_max=5, x=x, p_norm=p_norm, k_max=2, show=True)" ], "id": "a6cca2eb04966623", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" 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" 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 34 }, { "metadata": { "ExecuteTime": { "end_time": "2024-09-04T22:38:06.228387Z", "start_time": "2024-09-04T22:38:06.225744Z" } }, "cell_type": "code", "source": "", "id": "d4722223dd71bc1b", "outputs": [], "execution_count": null } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 5 }