{ "cells": [ { "cell_type": "markdown", "id": "c0fad80e", "metadata": {}, "source": [ "# Dielectric metasurface absorber: R, T, and A\n", "\n", "This notebook reconstructs one periodic THz unit cell from the official Tidy3D\n", "dielectric-metasurface example. It builds a lossy PDMS layer and dispersive Drude\n", "silicon cylinder, runs empty-cell normalization plus the device at three frequencies,\n", "plots the actual terminal field, and computes $A=1-R-T$." ] }, { "cell_type": "markdown", "id": "d8678e19", "metadata": {}, "source": [ "## Imports and parameters" ] }, { "cell_type": "code", "execution_count": 1, "id": "b270030a", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:44:36.651714Z", "iopub.status.busy": "2026-08-16T19:44:36.651567Z", "iopub.status.idle": "2026-08-16T19:44:39.631703Z", "shell.execute_reply": "2026-08-16T19:44:39.631133Z" } }, "outputs": [ { "data": { "text/html": [ "
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value
period_um330.0
cylinder_radius_um106.0
cylinder_height_um85.0
PDMS_thickness_um8.0
frequencies_THz(0.5, 0.6, 0.7)
grid_pitch_um5.0
maximum_time_ps40.0
PML_cells12
\n", "
" ], "text/plain": [ " value\n", "period_um 330.0\n", "cylinder_radius_um 106.0\n", "cylinder_height_um 85.0\n", "PDMS_thickness_um 8.0\n", "frequencies_THz (0.5, 0.6, 0.7)\n", "grid_pitch_um 5.0\n", "maximum_time_ps 40.0\n", "PML_cells 12" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import os\n", "os.environ.setdefault(\"XLA_PYTHON_CLIENT_PREALLOCATE\", \"false\")\n", "from time import perf_counter\n", "import matplotlib.pyplot as plt\n", "from matplotlib.patches import Rectangle\n", "import numpy as np\n", "import pandas as pd\n", "import fdtdx\n", "from IPython import get_ipython\n", "\n", "from benchmarks.cases.device_metasurface_absorber.run import (\n", " DL, FREQUENCIES, HEIGHT, LZ, PERIOD, PML_LAYERS, RADIUS,\n", " SIM_TIME, SUBSTRATE_THICKNESS, THZ, UM, _build, _mean_flux,\n", ")\n", "from benchmarks.runners.fdtdx_util import run_scene\n", "\n", "get_ipython().run_line_magic(\"matplotlib\", \"inline\")\n", "pd.Series({\n", " \"period_um\": PERIOD / UM,\n", " \"cylinder_radius_um\": RADIUS / UM,\n", " \"cylinder_height_um\": HEIGHT / UM,\n", " \"PDMS_thickness_um\": SUBSTRATE_THICKNESS / UM,\n", " \"frequencies_THz\": tuple(FREQUENCIES / THZ),\n", " \"grid_pitch_um\": DL / UM,\n", " \"maximum_time_ps\": SIM_TIME * 1e12,\n", " \"PML_cells\": PML_LAYERS,\n", "}, name=\"value\").to_frame()" ] }, { "cell_type": "markdown", "id": "cd9f189d", "metadata": {}, "source": [ "## 1. Geometry and material stack" ] }, { "cell_type": "code", "execution_count": 2, "id": "9511ec5d", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:44:39.632957Z", "iopub.status.busy": "2026-08-16T19:44:39.632807Z", "iopub.status.idle": "2026-08-16T19:44:39.718821Z", "shell.execute_reply": "2026-08-16T19:44:39.718244Z" } }, "outputs": [ { "data": { "image/png": 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IwNWiMP47IewCAIDLWrdunZYvX+7qNoB8Y84uAABuwBZ7XslJqcW2Pf9AXwWEOj9neM6cOTpy5Ih69uxZhF0VzMaNG7V582ZJkpeXl6pVq6a2bdsqKCgo23Jvb28FBgaqQYMGioyMzHbmMKu2Xr166tKli8OygwcPatmyZapQoYLuvfde+/iFCxcUHR2to0ePKiwsTK1bt7bPN4XrEXYBAHAxW+x5ffHQj8pIK75bkXn5eOqhL3rkK/C6q0WLFunDDz9Unz59lJGRoS1btmj//v2aO3euevTo4bDcGKP4+Hj9+uuv8vf318SJE3XzzTc7rGvs2LGqVq2aDh486HC3jHHjxunTTz9VgwYN7GF327Zt6t27twICAtS8eXMdO3ZM+/fv19ixYx0CMVyHsAsAgIslJ6UWa9CVpIy0TCUnpV5R2E1NTdXKlSt18uRJ1alTR+3bt89Ws2PHDm3fvl3BwcFq3769ypYtm+eyPXv26Ndff9XDDz+cbT0xMTHq379/jr2EhIRoypQp9vd33HGHBg0apL///jvH5RkZGXr99dd16623atWqVerYsaN9Wb169XTmzBn99NNP9jPZycnJmj17trp166Zjx47ZawcNGqRmzZpp4cKF9rG4uDht3brViSOI4sCcXQAAkG9HjhxRw4YN9eyzz+rHH3/U3XffrR49ejhcNf/888+rc+fOWrJkiSZPnqzWrVtrz549eS7z9/fXwIEDtWnTJoftvfTSS1qxYoXT/XXv3l379+9XcnJyjsu9vLw0evRotWzZUmPGjHFY5unpqQcffFCff/65fWzevHmqWbOmmjVr5lC7d+9etWzZ0mGsYsWKuuGGG5zuFUWLM7sAACDfnn/+eVWqVEmrVq1SqVKldPz4cTVs2FCTJ0/WkCFDdOHCBX3wwQf66aef1KlTJ0nS0aNHdfbs2TyXhYeH64YbbtC0adPUokULSdKxY8e0fPnyfIXdHTt2qGLFipedO3vTTTfprbfeyjb+yCOPKDIyUvHx8QoODtbUqVM1YMAAHTlyxKGuU6dOmjhxokJDQ9W9e3eFh4c73SOKB2d2AQBAvhhjtHDhQj355JP2+wVXqVJFffv21bfffivp4oVgZcuW1Zo1a5SSkiJJqlatmurVq5fnMkkaOHCgZs+ebV/25ZdfKjw83B6Mc2Kz2TRlyhRNmjRJjz76qD777DONHj36svsSEhKilJQUnT9/3mG8Vq1aatOmjb766ivt3btXGzdu1P3335/t859//rnuvfdevfLKK4qIiFC1atU0ePBg+5O/4HqEXQAAkC+nTp1SSkqKatSo4TAeHh6uQ4cOSbo4FWDevHlatGiR/Z/1p06dqoyMjDyXSdLtt98uHx8fLViwQJL0xRdf6OGHH87znqupqanaunWrdu/erfDwcG3YsEGDBw++7L4kJSXJ29s7xzPAAwYM0Oeff66pU6fqjjvuUPny5bPVBAUFaeLEiTpx4oT+/PNPjRgxQgsXLtQNN9xg3x+4FtMYAABAvlSoUEHe3t6Ki4tzGD916pQqVapkf9+tWzdt2bJFsbGxWrZsmZ577jnFxsbq5ZdfznOZj4+P+vfvr2nTpiksLEz79u3TQw89lGdPl16A5qzo6Gg1bdo0xyB911136T//+Y8mTZqkxYsX57keDw8P1a1bV3Xr1lXlypV15513at++ffaz1XAdwi4AAMgXb29vtW/fXrNmzdJtt90m6eK9ZufPn6+oqChJ0rlz55SUlKSqVasqNDRU/fv3108//aRt27bluSzLwIEDFRkZKUnq0aOHqlevXuj7sWjRIv3www/6v//7vxyX+/n56Z133tGuXbvUtWvXHGu2b9+uxo0bO4ydOnVK0sUL1eB6hF0AAJBv48ePV8eOHXX33XerZcuWWrBggTw8PPTiiy9Kunirrs6dO6t9+/Zq1KiRjhw5ovnz5+vrr7/Oc1mW+vXrq23btlq5cqXDeEFlzek1xighIUHr1q3T6tWrNWbMmBzn4mYZOHBgnusdNmyYUlJS1L59e1WuXFl//vmnvvzySz333HMKDg6+4r5x5Qi7AADgsjp06KDExET7+6ZNm2rnzp2aOXOmjhw5on79+ql///4KCAiQdPGs5rZt2zR37lzt2LFD5cuX16ZNm+xna/NaluXmm2/WH3/8YT97nJuWLVs6PPwhp+VZ97719vZWQECA+vTpo//7v/9TSEhItlpfX99c19W6dWuVKVPG/n7FihXasGGD1qxZo3/++Uc1atRQdHS0mjdvnmfPKD4exhjj6ibcjc1mU2BgoJKSkuz/0QIAUBhSUlJ04MAB1axZU35+fpJ4glpuWrVqpfbt2+u9995zdStwkZz+e8nibF7jzC4AAC4WEFpaD33RQ8lJqcW2Tf9AX7cNut9++61++ukn/fHHH/rmm29c3Q5KOMIuAABuICC0tNuGz+L2119/yd/fX6tXry6SC9NwdSHsAgAAt/LCCy+4ugVYCA+VAAAAgGURdgEAAGBZhF0AAABYFmEXAAAAlkXYBQAAgGURdgEAgFtLTEzUyZMni2z9CQkJio2Ndfp9SVVU+1XU38+V4tZjAAC4gbiUZNnSLxTb9gK8S6min7/T9adPn9bp06clSd7e3goMDFS5cuWKqDtH48aN09atW7Vs2bIiWf+oUaN05MgRLVy40Kn3JVVR7VdRfz9XirALAICLxaUka8imtUozxfe4YB8PT33QopPTgffdd9/VuHHjVK1aNRljlJCQoMDAQN12220aOXKkKleuXMQdF53g4GBduJD7XzQut7yksup+XYqwCwCAi9nSLxRr0JWkNJMpW/oFVZTzZ3fDw8O1b98+SZIxRlu3btWwYcPUrFkzbdiwQWFhYZKkuLg4SVLFihWVlJSkc+fOqWrVqoqNjZW3t7cqVKhgX2diYqIuXLigSpUqOWwrKSlJXl5eKlu2bK79pKenKy4uTiEhIfLy8nJqH+Lj41WuXDmVKlXKPjZkyBClp6fn+pnclmdkZOjUqVMKDQ2Vp2f2maEpKSlKTExUSEiIvL0dI9e/j1FqaqpSUlIUGBjo1D7ktF2bzSabzZbtiXNnz55VQkKCatSocdn9yk9PV/r95PYbKQrM2QUAAPnm4eGhpk2basmSJfLx8dHIkSPty5577jn16dNHPXv2VEREhPr27StJeuSRR/T66687rOfNN9/Ugw8+aH+fnJysqKgoBQcHq0aNGmrVqpX+/vtvh88YYzR69GhVrFhRjRs3VmBgoAYPHqyUlJRc+128eLGqV6+uunXrKjQ0VH379lVCQoKki/+c/9hjj+X62UuXZ2Zm6vXXX1dwcLAaNGigkJAQTZo0yb48NTVVjz32mIKCgnTttdeqYsWKGj9+vMM6s47RLbfcourVq6tSpUrq2LGjPQTmJK/t7ty5U+Hh4Tp69KjDZ4YNG6aHHnrIqf1ypqfC+n5y+40UBcIuAAAosNKlS+vee+/VkiVLHMZXrFihvn37KjExUWvWrHF6fW+88YY2bdqkffv2KSEhQUOHDtX8+fMdasaNG6evv/5aW7ZsUWxsrP7++29t2LBBo0ePznGdxhg9+OCDevnllxUfH6+4uDjdcccd2rVrV773V5LeeustTZw4UYsXL1ZiYqL279+v48eP25ePHTtWP/zwg7Zt26bExETNnj1bL774opYvX+6wnpUrV6p///46deqUjh8/rri4OI0bN65A223btq0aNGigL774wl5//vx5zZ07V4888ojT+3a5ngrz+ynobyS/CLsAAOCK1KxZU3FxcQ5n7lq0aOFwxtZZU6ZM0QsvvKCIiAhJUp8+fdSxY0f7cmOMxo8fr0GDBqlUqVI6fPiwUlNT1a9fP82bNy/HdaalpenMmTOqVauWpIsX2N1zzz3q0KFDvvvLzMzU+++/rxdeeMHeV2BgoN544w17zUcffaTnn39e9erVkyTddNNNuuuuu/Thhx86rKtDhw669957JUnly5fXnXfeqc2bNxd4uwMGDHAIu/Pnz5eHh4fuuusup/fvcj0V5vdT0N9IfrnNnN3z589rxowZ+uWXX+Tt7a327durf//+DnM8Jk+erKVLlzp8Ljw83OGfDiRp+/bt+uSTT3Ty5Ek1atRIQ4YMUVBQUHHsBgAAV520tDRJcpiXWrt27XyvJyEhQQkJCWrYsKHDeOPGjfXXX39JkmJjY3Xq1Cm99dZbevfddx3qfHx8clxvqVKl9Oqrr+r2229Xt27d1KVLF91555328JsfJ0+eVHx8vFq2bJnrPsTHx6tJkyYO49ddd52mT5/uMJY1xzlL2bJlZbPZCrRdSerfv7+GDx+un3/+WR07dtT06dPVp08f+fs7Py87r54K+/spyG+kINzizG5mZqYiIyO1detWdevWTddff71Gjx6t3r17KzPzfxP2t2/frtOnT+uJJ56wv6KiohzW9fvvv6tVq1bKzMxU7969tXz5crVv317JycnFvVsAAFwVduzYoVq1ajmE3UsvyJIuzvO9VEZGhv1/+/r6SlK2OwT8+4xx1kmwTz/9VAcPHnR4ZQWunIwcOVIHDx7Ufffdpy1btigyMrJAt9zKurAtt1zh5+cn6eK83X9LTU21LyuIy21Xunh3hdtvv13Tpk3T/v37tXbt2nxNYbicwv5+cvqNFAW3CLseHh7asGGDPv74Y/Xv319PPPGEvv76a/3www/atGmTQ23lypV1yy232F//PnUuScOHD1ePHj308ccf68EHH9TSpUt18OBBff7558W5SwAAXBX++ecfff311+rTp89laytWrKgTJ044jG3fvt3+v8uUKaPatWsrOjraPmaM0bp16xzWUadOHS1YsCDb+v8dnP8t68RZ5cqV9cADD2jWrFm6/fbbNWvWrMv2fKng4GDVqVMn2/zbrG2ULl1aderU0dq1ax2Wr1mzJtvZ3sLcbpaBAwdq/vz5mjhxoiIjI3X99dcXeJuXKqrvp6i5xTQGDw8PhYaGOoxl3a/v0tP527Zt07333qvAwEB16NBB/fr1s992IyUlRWvXrnUItkFBQerWrZuWLVum//znP0W8JwAAWFd6eroOHjxov8/uunXrNG7cODVv3lyvvPLKZT/fs2dPPfLII5o/f77q1aunr7/+WmvWrFH37t3tNS+//LKGDBmiiIgINWnSRFOmTNHevXsVHh5ur3nnnXd09913KyQkRFFRUUpJSdHKlStzPbl19OhRRUVFaejQoWrUqJGOHDmidevW6amnnirQcRg7dqz69u2rkJAQ9e7dW4cPH9YHH3ygH3/8UZL02muv6dFHH1XNmjXVsmVLzZ49W7/88ou2bdtWoO05u11J6tatmypVqqSJEyfqvffeu6Lt5aQovp+i5hZhNyfjx49XhQoV1KpVK/uYj4+Punbtqk6dOuno0aN64YUXNGfOHC1ZskQeHh46dOiQMjIyst1jLiwsTKtXr851W6mpqQ7/3JDbfBkAAK5W5cuXlyR17txZ3t7eCggIUP369TVhwgTdc889DveZrVixYo5n8aKionTkyBGNGzdOnp6e6tmzp0aMGKGDBw/aax555BGdP39eEyZMkI+Pjzp37qxRo0Zp//799prbbrtNq1ev1vjx49W3b19VrFhR3bt314QJE3LsPSwsTBMmTNCECRM0evRolS9fXsOGDdOQIUMkZX+4wuXe33XXXfr+++81YcIEzZgxQ/Xr19d///tf+/K+ffvKGKNPPvlEb7/9turWras1a9aofv36eR6jwMDAPO81e7ntShdPID7wwAMaO3as+vXr57DscvvlTE+F9f3k9hspCh7GGFMsW8qHGTNm6OGHH9b8+fN1++2328dtNpsCAgLs73fs2KHrrrtO8+bN05133qmdO3eqUaNG+uWXX9SmTRt73QsvvKBvv/0217k8r732Wo63K0lKSnLYHgAAVyolJUUHDhxQzZo17XM4S8IT1FBy3HPPPZKU690pSpKc/nvJYrPZFBgYeNm85nZndufNm6cBAwbos88+cwi6krLtSKNGjRQeHq7NmzfrzjvvtN9xIesm0Vni4+PzvBvD8OHDNWzYMPt7m82W7WpEAACKSkU/f33QopNs6cX36NYA71IEXYs5fvy4Nm7cqEWLFunnn392dTtuw63C7jfffKN+/fppypQpevjhhy9bb4zR6dOn7beyqFatmoKDg7Vt2zb16tXLXrd161Y1bdo01/X4+vrarzAEAMAVKvr55+vRvcClBg8erL179+rdd99V69atXd2O23CLuzFI0rfffqu+ffvq448/zvE2GWlpafr888/171kXb731lpKSknTbbbdJ+t88lalTpyo+Pl6S9NNPP2nLli3q379/8ewIAACAC3z77bfatWuXnn76aVe34lbc4syuzWZTVFSUAgMDtWDBAofbVTz99NPq0aOHvLy8tGnTJr366quqU6eODh8+rDNnzmjGjBkOZ23HjBmjbdu2qV69eqpbt65iYmL0+uuvZ7tFGQAAAKzPLcKuv79/jvdjk6QGDRpIkjw9PfXxxx/rjTfe0M6dO1W+fHnVrVs322TlsmXLatWqVdq+fbtOnjypyMjIPK9sBAAAgHW5Rdj18fHRLbfc4lRtcHCwOnXqdNm6xo0bX2lbAAAUGTe8GRLgdgrjvxO3mbMLAMDVIOtxqpc+chVAdufPn5ck+80ICsItzuwCAHC18Pb2VunSpXXq1Cn5+Pg4PIwBwEXGGJ0/f16xsbEKCgqy/yWxIAi7AAAUIw8PD1WpUkUHDhzQP//84+p2ALcWFBSkypUrX9E6CLsAABSzUqVKqU6dOkxlAPLg4+NzRWd0sxB2AQBwAU9Pz2x3FAJQ+JgoBAAAAMsi7AIAAMCyCLsAAACwLMIuAAAALIuwCwAAAMsi7AIAAMCyCLsAAACwLMIuAAAALIuwCwAAAMsi7AIAAMCyCLsAAACwLMIuAAAALIuwCwAAAMsi7AIAAMCyCLsAAACwLMIuAAAALIuwCwAAAMsi7AIAAMCyCLsAAACwLMIuAAAALIuwCwAAAMsi7AIAAMCyCLsAAACwLMIuAAAALIuwCwAAAMsi7AIAAMCyCLsAAACwLMIuAAAALMttwm5sbKxGjx6tnj17qlevXho7dqzOnTuXrW716tW666671L59ew0aNEhHjx4tUA0AAACszy3CbkZGhlq1aiVJevbZZ/Xoo49q1qxZ6t69u9LS0ux1K1euVI8ePdSoUSONHDlShw4dUrt27WSz2fJVAwAAgKuDhzHGuLoJSTp//rxKly5tf79jxw41btxY69atU7t27SRJbdu2VUREhGbNmiVJSk5OVpUqVfTKK6/o+eefd7rmcmw2mwIDA5WUlKSAgIDC3E0AAAAUAmfzmluc2ZXkEHT//T7rzO65c+f022+/qVevXvYaf39/devWTStXrnS6BgAAAFcPtwm7lxozZoyqVq1qn95w5MgRGWNUtWpVh7qqVavq0KFDTtfkJDU1VTabzeEFAACAks8tw+6ECRM0e/ZszZw5U/7+/pL+d4bX19fXodbf39++zJmanIwdO1aBgYH2V1hYWKHtCwAAAFzH7cLu5MmT9dJLL2n+/Pnq3LmzfTw4OFiSFB8f71AfFxdnX+ZMTU6GDx+upKQk++vw4cOFsSsAAABwMbcKu1OmTNEzzzyjefPmqXfv3g7LqlSpoipVqmjjxo0O4xs2bFCzZs2crsmJr6+vAgICHF4AAAAo+dwm7H722WcaOnSo5s2bp1tvvTXHmgEDBmjq1Kn2M69z587VH3/8oQEDBuSrBgAAAFcHt7j12OnTp1WhQgUFBgaqdu3aDstGjhyp2267TZJ04cIFPfTQQ1qwYIGqVq2q2NhYjR8/Xo899pi93pmay+HWYwAAAO7N2bzmFmE3PT1dW7duzXFZRESEKlas6DB28uRJxcbGqnbt2tluWZafmtwQdgEAANxbiQq77oawCwAA4N5K3EMlAAAAgMJG2AUAAIBlEXYBAABgWYRdAAAAWBZhFwAAAJZF2AUAAIBlEXYBAABgWYRdAAAAWBZhFwAAAJZF2AUAAIBlEXYBAABgWYRdAAAAWBZhFwAAAJZF2AUAAIBlEXYBAABgWYRdAAAAWBZhFwAAAJZF2AUAAIBlEXYBAABgWYRdAAAAWBZhFwAAAJZF2AUAAIBlEXYBAABgWYRdAAAAWBZhFwAAAJZF2AUAAIBlEXYBAABgWYRdAAAAWBZhFwAAAJZF2AUAAIBlEXYBAABgWYRdAAAAWBZhFwAAAJblNmE3IyNDCxcu1I033qiIiAj99ttv2WpeeeUVRUREOLx69uyZre6bb75Rp06dVL9+fd1zzz36888/i2MXAAAA4Ga8Xd1Alpdeekl79+5VVFSUHnnkEaWkpGSriY+P17XXXqvJkyfbx0qVKuVQs2jRIt13332aMGGC2rRpo/Hjx6tjx47atWuXKlasWOT7AQAAAPfhNmF37Nix8vb21pEjR/KsK126tCIiInJd/vrrr+uBBx7Qf/7zH0nSF198oSpVqmjKlCkaMWJEYbYMAAAAN+c20xi8vZ3L3dHR0br22mvVpk0bvfDCC0pKSrIvO3PmjLZs2eIwtcHHx0fdunXTmjVrCrtlAAAAuDm3ObPrjODgYI0YMUKdOnXS0aNH9corr2jp0qXavHmzfH197WeFK1eu7PC5ypUra/v27bmuNzU1Vampqfb3NputaHYAAAAAxapEhd0xY8bI0/PiyejGjRurSZMmioiI0Jw5c/Tggw8qMzNTUvazxD4+PsrIyMh1vWPHjtXo0aOLrnEAAAC4hNtMY3BGVtDNUrVqVYWHh2v37t2SZL8ALT4+3qEuLi5OISEhua53+PDhSkpKsr8OHz5cyJ0DAADAFUpU2L1USkqKjh8/rgoVKkiSKlWqpBo1auiXX35xqFu/fr2uv/76XNfj6+urgIAAhxcAAABKvhITdi9cuKBnnnlGsbGxkqSzZ8/q8ccflzFGUVFR9rrBgwdr6tSp2rlzp4wxmjx5sg4ePKhHH33UVa0DAADARdxmzu78+fP13HPP2efW3nffffLz89PQoUM1dOhQ+fj46JprrlGLFi2UnJwsm82mFi1aaPXq1Q63Inv++ed19OhRtWjRQr6+vvLz89OsWbMUGRnpoj0DAACAq3gYY0x+PxQXF6d169bZ734QFham9u3bKzg4uMCNnD17VnFxcdnGg4KCFBQU5DAWHx+vgIAA+fj45Lq+5ORknT59WpUqVco21/dybDabAgMDlZSUxJQGAAAAN+RsXsvXmd1ly5Zp/PjxWrFihTw9Pe1zZRMSEpSZmakePXromWeeyfERvpdTtmxZlS1b1qlaZ0K1v7+//P39890HAAAArMPpU5433XSTHnvsMbVu3Vq//fabkpOTFRsbq9jYWCUnJ+vXX3/V9ddfr8cee0w333xzUfYMAAAAOMXpM7u33nqrFi9enOPUAR8fH7Vq1UqtWrXSqFGjNHXq1EJtEgAAACiIAs3ZtTrm7AIAALg3Z/Naibn1GAAAAJBfBbr1WEZGhubMmaN169YpMTEx2/I5c+ZccWMAAADAlSpQ2H366af11VdfqXv37tluCwYAAAC4iwKF3VmzZmnNmjVq2rRpYfcDAAAAFJoCzdn19PRUrVq1CrsXAAAAoFAVKOzee++9+vDDDwu7FwAAAKBQFejWYydOnNC1116r0NBQ1a5dWx4eHg7Lv//++0Jr0BW49RgAAIB7K5LHBWcZPHiwvLy81Lp1ay5QAwAAgNsqUNhdtmyZfv/9dzVs2LCw+wEAAAAKTYHm7AYHB6t69eqF3QsAAABQqAoUdnv16qW3335bPGkYAAAA7qxA0xh27typ9evXa/bs2apVq1a2C9RWrFhRKM0BAAAAV6JAYbd9+/Zq3759YfcCAAAAFKoC3XrM6rj1GAAAgHtzNq8VaM5ubtLS0tSnT5/CXCUAAABQYAWaxnDdddflOJ6UlKSUlJQr6QcAAAAoNAUKu/369cs2duTIEf3f//2f3nnnnStuCgAAACgMhTpnd+3atXruuee0cePGwlqlSzBnFwAAwL25ZM7u9ddfr7179xbmKgEAAIACK9SwGx0drY4dOxbmKgEAAIACK9Cc3fvuuy/bWFJSklatWqUuXbo4LJ8zZ07BuwMAAACuQIHCbtmyZXMce+CBB664IQAAAKCwFCjsTp06tbD7AAAAAAqd03N2ly9f7vRK81MLAAAAFBWnw+5zzz2nDh06aObMmTp9+nS25fHx8friiy/Url07Pffcc4XZIwAAAFAgTk9jiImJ0WeffabXXntNDzzwgGrXrq1KlSrJGKMTJ05o//79qlOnjp555hk99thjRdkzAAAA4JR8P1TCGKONGzdq/fr1Onz4sDw8PFS9enW1b99eLVq0kIeHR1H1Wmx4qAQAAIB7czav5fsCNQ8PD7Vs2VItW7a8ogYBAACAolaoD5UAAAAA3AlhFwAAAJblNmH33Llzmjp1qlq0aKGyZcsqOjo6x7pPP/1UkZGRqlixorp06aLNmzcXqAYAAADW5zZhd8yYMfr11181YsQInTt3ThkZGdlqZs6cqaefflojR47U5s2bFRkZqW7duunYsWP5qgEAAMDVId93Y5AuPhq4W7dumjFjRrar38qWLauzZ88WuKEjR44oLCxMq1evVufOnR2WNWzYUB06dNDHH38sScrMzFS1atU0cOBAjRkzxumay+FuDAAAAO7N2bxWoDO7586d0/79+9W6dWvt27cv27KicPr0ae3atUvdunWzj3l6eqpr165at26d0zUAAAC4ehR4GsOvv/6qevXqqWXLlvrpp58Ks6ccZU1DCA0NdRgPDQ3V8ePHna7JSWpqqmw2m8MLAAAAJV+Bw27ZsmW1YMECPfXUU7r55ps1YcKEwuwrV56entneXzoTw5mafxs7dqwCAwPtr7CwsMJrGAAAAC6T74dK/JuHh4dGjx6tJk2aqH///tq+fXth9ZVN1tnaU6dOOYyfOnXKvsyZmpwMHz5cw4YNs7+32WwEXgAAAAsolLsx3Hnnnfr111+1du3awlhdjipWrKhrrrlGP//8s8P42rVr1bp1a6drcuLr66uAgACHFwAAAEq+AoXd5OTkbGONGjVSTEyMYmJirrip3AwdOlSff/651q5dq5SUFI0ZM0axsbF64okn8lUDAACAq0OBpjH4+fnlOB4YGKjrrruuQI3MnDlTjz/+uH1u7U033SQvLy+9/PLLevnllyVJTz75pOLj43XHHXcoKSlJderU0eLFi1W7dm37epypAQAAwNWhQPfZLQrp6elKSUnJNl6qVCmVKlUq23haWpp8fHzyXKczNTnhPrsAAADuzdm8dkUXqBUmb29vlS1b1ul6Z0JsQYIuAAAArMNtHhcMAAAAFDbCLgAAACyLsAsAAADLIuwCAADAsgi7AAAAsCy3uRsDUBjiUpJlS7/g6jYAACVIgHcpVfTzd3UbKCKEXVhGXEqyhmxaqzST6epWAAAliI+Hpz5o0YnAa1FMY4Bl2NIvEHQBAPmWZjL5V0ELI+wCAADAsgi7AAAAsCzCLgAAACyLsAsAAADLIuwCAADAsgi7AAAAsCzCLgAAACyLsAsAAADLIuwCAADAsgi7AAAAsCzCLgAAACyLsAsAAADLIuwCAADAsgi7AAAAsCzCLgAAACyLsAsAAADLIuwCAADAsgi7AAAAsCzCLgAAACyLsAsAAADLIuwCAADAsgi7AAAAsCzCLgAAACyLsAsAAADL8nZ1A/mRmpqqtLQ0hzEvLy/5+/vnWJ+WliYfH5/iaA0AAABuqESd2R0yZIiCgoJUuXJl+6tTp07Z6saMGaPg4GD5+fmpQYMGWrFihQu6BQAAgKuVqLArSbfffrvOnj1rf/3+++8OyydNmqR33nlH33zzjc6ePau+ffuqd+/e+vvvv13UMQAAAFylxIVdSUpPT8912fvvv68BAwaoc+fO8vf318iRIxUaGqopU6YUY4cAAABwByUu7H7//ffy9/dXQECAbr75Zu3Zs8e+LD4+Xvv27VPHjh0dPtOpUyf99ttvxd0qAAAAXKxEhd3IyEj98MMPOn/+vHbt2qVSpUqpS5cuSkhIkCSdPHlSkhQSEuLwuZCQEMXGxua63tTUVNlsNocXAAAASr4SFXafeuopdenSRT4+PgoLC9OMGTOUlJSkuXPnOtRlZmZme+/h4ZHreseOHavAwED7KywsrEj6BwAAQPEqUWH3UuXKlVO1atW0f/9+SVLVqlUlKdtZ3NjYWFWpUiXX9QwfPlxJSUn21+HDh4uuaQAAABSbEh124+PjdejQIfuZ2KCgIEVGRmrlypX2mszMTK1atUrt27fPdT2+vr4KCAhweAEAAKDkKzFhNzU1VT169NCqVat08uRJbdy4UXfeeaeCg4PVr18/e91LL72k6dOna+7cuTp06JCefvppJScna9CgQS7sHgAAAK5QYp6g5uvrq1deeUXjxo1TTEyMypcvrw4dOmj27NmqUKGCva5fv346f/68Ro8erZMnT6pRo0ZasWKFfYoDAAAArh4exhjj6ibcjc1mU2BgoJKSkpjSUILsP5ukl2LWu7oNAEAJ9N+m7VSrbKCr20A+OJvXSsw0BgAAACC/CLsAAACwLMIuAAAALIuwCwAAAMsi7AIAAMCyCLsAAACwLMIuAAAALIuwCwAAAMsi7AIAAMCyCLsAAACwLMIuAAAALIuwCwAAAMsi7AIAAMCyCLsAAACwLMIuAAAALIuwCwAAAMsi7AIAAMCyCLsAAACwLMIuAAAALIuwCwAAAMsi7AIAAMCyCLsAAACwLMIuAAAALIuwCwAAAMsi7AIAAMCyCLsAAACwLMIuAAAALIuwCwAAAMsi7AIAAMCyCLsAAACwLMIuAAAALIuwCwAAAMsi7AIAAMCyLBt2U1JSdOLECWVmZrq6FQAAALiI5cJuZmamhgwZoqCgINWrV09Vq1bV/PnzXd0WAAAAXMByYfedd97RzJkztWnTJp0+fVqjRo1Snz59tGvXLle3BgAAgGJmubA7efJkDRw4UA0bNpSHh4cGDx6siIgIffbZZ65uDQAAAMXMUmE3NjZWhw4dUtu2bR3G27Vrp40bN7qoKwAAALiKt6sbKEynTp2SJAUHBzuMV6xYUb/88kuun0tNTVVqaqr9vc1mkyTF/p2o5LIZRdApikJC2llXtwAAKKESDtlUxoeL2kuSM2dtTtVZKux6el48UZ2enu4wnpaWJi8vr1w/N3bsWI0ePTrb+Lxh0fLzLl24TaLIpAZIHk/6yvh4uLoVAEAJ4pFmtGLkRvk6l53gJlLSzztVZ6mwW716dUnSiRMnHMZPnDihatWq5fq54cOHa9iwYfb3NptNYWFhRdMkioyvTWo6KVVppQm7AADn+Zw3BF0Ls1TYLVeunJo1a6bly5crKipK0sWzuitXrtSQIUNy/Zyvr698fX2Lq00UIV+b5Gszrm4DAAC4CUuFXUkaNWqU7r77bjVv3lxt2rTRe++9Jy8vLw0aNMjVrQEAAKCYWepuDJJ02223ac6cOZo7d6769Omj1NRU/fzzz6pYsaKrWwMAAEAxs9yZXUm66667dNddd7m6DQAAALiY5c7sAgAAAFkIuwAAALAsD2MMl65fwmazKTAwUH9tOahyZQNc3Q4AAAAuceasTXWaRSgpKUkBAbnnNUvO2S0sobXL53nwAAAA4Br+ttwfGPZvTGMAAACAZRF2AQAAYFmEXQAAAFgWYRcAAACWRdgFAACAZRF2AQAAYFmEXQAAAFgWYRcAAACWRdgFAACAZRF2AQAAYFmEXQAAAFgWYRcAAACWRdgFAACAZRF2AQAAYFmEXQAAAFgWYRcAAACWRdgFAACAZRF2AQAAYFmEXQAAAFgWYRcAAACWRdgFAACAZRF2AQAAYFmEXQAAAFgWYRcAAACWRdgFAACAZRF2AQAAYFmEXQAAAFgWYRcAAACWRdgFAACAZXm7uoH8OHTokGJjYx3G/P39FRkZma02NjZWsbGxqlWrlkqXLl1cLQIAAMCNlKiw+9Zbb+nrr79WrVq17GPXXHON5syZY39/4cIFPfzww/rmm29UpUoVnTp1ShMmTNCjjz7qipYBAADgQiUq7EpS165dNX/+/FyXv/HGG1q9erX++usvhYWFae7cuerTp4+aNWum5s2bF2OnAAAAcLUSN2c3LS1Nu3fv1tGjR3NcPnXqVA0cOFBhYWGSpKioKDVo0ECff/55cbYJAAAAN1Diwu53332n22+/XZGRkapdu7ZWrFhhX3b8+HEdP35c119/vcNnWrVqpS1bthR3qwAAAHAxl05jOHjwoOLi4vKsadSokXx9fSVJ3bp108iRI1WtWjWlpaXp+eef1x133KEdO3YoIiJC8fHxkqTg4GCHdVSsWNG+LCepqalKTU21v7fZbAXdJQAAALgRl4bdL7/8Ut99912eNQsXLlT16tUlSffcc4993MfHR++++66mT5+uhQsXaujQofLx8ZEkh+AqScnJyfZlORk7dqxGjx5d0N0AAACAm3Jp2H311Vf16quvFvjz3t7eCgkJ0ZEjRyRJ1atXl4eHh44dO+ZQd+zYMdWoUSPX9QwfPlzDhg2zv7fZbPY5vwAAACi5SsycXWNMtjO2+/fv18GDB9WgQQNJUpkyZdS6dWstWbLEXpOcnKyVK1eqW7duua7b19dXAQEBDi8AAACUfCXm1mNpaWlq0aKFBg0apMjISB06dEhjxoxRw4YN1bdvX3vdmDFjdOONN6pevXpq06aNPvjgAwUFBenxxx93YfcAAABwBQ9jjHF1E846dOiQ3n//fcXExKh8+fLq0KGDBg8ebL+ALcuqVav00Ucf6eTJk2rUqJFGjBhhn/frDJvNpsDAQCUlJXGWFwAAwA05m9dKVNgtLoRdAAAA9+ZsXisxc3YBAACA/Coxc3aLU9bJbu63CwAA4J6yctrlJikQdnNw5swZSeL2YwAAAG7uzJkzCgwMzHU5c3ZzkJmZqWPHjqlcuXLy8PAo8u1l3df38OHDzBEuRhx31+C4uwbH3TU47sWPY+4arjjuxhidOXNGVatWladn7jNzObObA09Pz3zdvaGwcI9f1+C4uwbH3TU47q7BcS9+HHPXKO7jntcZ3SxcoAYAAADLIuwCAADAsgi7bsDX11evvvpqtodjoGhx3F2D4+4aHHfX4LgXP465a7jzcecCNQAAAFgWZ3YBAABgWYRdAAAAWBZhFwAAAJbFfXZdID09XZs2bVL58uVVr149h2Xnzp1TTExMts80btw4233rzp07pz179qh8+fKqVatWkfZsBampqdqyZYtCQ0NVu3btHGvOnDmjP//8UyEhIQoPDy9wDXK2detWnT171mGscuXKuuaaa7LV7tmzR8nJyYqMjFSpUqWKq0VLio+P1/79+xUWFqbKlSu7uh3L+e2335Senu4wFh4enu0pnJmZmdq1a5ckKTIyMs+b4CNn8fHx+uOPP1SvXj2FhITkWHPixAkdPnxYtWrVUnBwcIFr8D+xsbHau3evIiMjVb58eYdlBw8e1JEjRxzG/Pz81KJFi2zrOXr0qI4fP67atWtnW0+RMig2Z8+eNSNHjjRhYWGmXLlyJioqKltNTEyMkWRatWpl2rVrZ39t377doW7mzJmmXLlypm7duqZcuXKmS5cu5vTp08W1KyVKYmKiefHFF021atVMmTJlzOOPP55j3ZQpU0zp0qVN/fr1TenSpc0tt9xizp07l+8a5K5JkyYmIiLC4bf93//+16Hm0KFDpkmTJiY4ONjUrFnThISEmBUrVrio45Jv1KhRxtfX11x77bXG19fXDBgwwGRkZLi6LUsJDAw09evXd/hdf/nllw41W7duNTVr1jRVqlQxVatWNTVr1jRbt251Ucclz549e0z//v1NlSpVjCQzY8aMbDUZGRnmsccec/i9v/zyy/muwf9s27bN3HfffaZSpUpGkvnuu++y1Tz77LMmKCjI4fd/9913O9RcuHDB9O3b1/j5+ZkGDRoYPz+/bH/2FyXCbjE6cOCAee2118zRo0dNr1698gy7p06dynU9f/31l/Hx8TGffvqpMeZimKtXr555+OGHi6z3kmznzp1m7Nix5uTJk6Zdu3Y5ht2YmBjj4eFhvv76a2OMMSdPnjQ1atQwzzzzTL5qkLcmTZqYd955J8+azp07m86dO5vU1FRjjDEvvviiKV++vElMTCyGDq1l4cKFxsfHx6xfv94YczEwBAYGmg8++MDFnVlLYGCgmTdvXq7L09LSTJ06dcz9999vMjMzTWZmprnvvvtMnTp1THp6ejF2WnJ9++23Zvr06eb8+fO5ht2PPvrIBAYGmj/++MMYY8wvv/xifHx8zDfffJOvGvzPrFmzzKxZs8zJkyfzDLs9e/bMcz1vvPGGCQ0NNQcPHjTGGPPjjz8aDw8Ps3LlyiLp+1KEXRe5XNj97bffTExMjDlz5ky2mlGjRpkqVaqYzMxM+9hHH31k/Pz8zPnz54u075Iut7D79NNPm/r16zuMvfHGG6Z8+fL2s2DO1CBvTZo0Ma+88or5/fffzdGjR7Mt379/v5Fkli1bZh9LTEw0Pj4+Zvr06cXYqTXceuut5sYbb3QYGzhwoGnSpIlrGrKowMBAM2nSJLNx40YTGxubbfmqVauMJLNnzx772M6dO40ks3r16mLs1BpyC7vNmjUzAwcOdBi78cYbTa9evfJVg+wSExPzDLtdunQxW7ZsMX/99VeOf4GrVauWee655xzGWrdube6///4i6/nfmDDkpu6++2716dNHFSpU0FNPPaW0tDT7spiYGDVr1kweHh72sZYtWyolJUV79uxxRbslXkxMjJo3b+4w1rJlSyUmJuqff/5xugaX9/777+vRRx9V/fr11bJlS+3evdu+LGu++r+Pc1BQkOrUqZPjXHbkLbff7M6dOx3+TMGVe+WVVzRgwADVqFFDPXv21NGjR+3LYmJiVKZMGYdrNCIjI1W6dGl+14UkIyNDO3bsyPH3nnWMnalBwfz888/q37+/OnTooOrVq2vBggX2ZTabTfv373fpcecCtStw5swZbdu2Lc+a6tWrKyIiwul1BgYGavny5erRo4ckafPmzeratasqVKig0aNHS5ISEhKyXWCVNcE+ISEhH3tQMp0+fVo7d+7Msyani0PykpCQoKZNmzqM/fuY1qxZ06maq82WLVt0/vz5XJf7+PioVatW9vfPPPOMoqKi5OfnJ5vNpqioKN1xxx3avn27fH197b/fChUqOKwnODj4qvhtF7aEhIRsF98EBwcrIyNDNpuNC3MKybvvvquHH35YXl5eOnHihHr16qW+fftq7dq1knL+HiR+14XpzJkzSktLy/H3nnWMnalB/nXq1EnPPvusqlSposzMTI0ZM0Z9+vTRli1bFBkZaT+2rjzuhN0rcPjwYb300kt51vTp00dPPvmk0+usWbOmQ2hq3ry5Hn30Uc2ZM8cedn18fJSSkuLwueTkZEm6Kq5a//PPPy973B977DH179/f6XU6c0yv9uOek/feey/Ps9pBQUH6/vvv7e8ffPBB+/8OCAjQO++8o0aNGmnLli1q06aNfHx8JF28c4a/v7+9Njk5+ao9xleC32zxGDhwoP1/V65cWaNHj1bv3r11/PhxValSJcfvQeJ3XZiy/uzI6ff+7z/DL1eD/Ovdu7f9f3t6emrUqFH65JNPtGDBAkVGRrrFcSfsXoFrr71W69atK/LtVKpUyeGfxMLDw7Vv3z6HmqzlNWrUKPJ+XK1Vq1aFftzDw8MdjrH0v2OadYbYmZqrzcyZM6/o85UqVZL0v+OYdSu3o0ePOtyO7NixY7rllluuaFtXo9x+s0FBQSpXrpyLurK+f/+uq1SpovDwcMXHxyslJUV+fn6SLv4ffWJi4lXxZ3ZxKFOmjIKDg3P8vWcdY2dqcOU8PDwUEhJiP86VK1eWr6+vS487c3bdzLlz57KN/fTTT2rYsKH9fffu3bVhwwbFxsbaxxYtWqQ6depw39cC6t69u9asWaMzZ87YxxYtWqTrr79eQUFBTtcgd+fPn5cxxmHsxx9/lHRx/qJ08S8y5cqV0+LFi+01Gzdu1LFjx9S9e/fia9YiunfvrqVLlyojI8M+tmjRIo5lIcrpz+wff/xRpUqVUp06dSRJ3bp1kzFGS5cutdd8//33Msaoa9euxdar1XXv3l3fffed/X1GRoaWLFni8Ht3pgb5c+l/A4cOHdKff/5pzy1eXl7q0qWLw5/rqampWrZsWfEd92K5DA5269evN9HR0aZt27amW7duJjo62mzYsMG+fOjQoebxxx838+bNM4sWLTJRUVHG19fX4fYcaWlpplmzZqZ169ZmwYIF5s033zReXl5m/vz5rtglt5eZmWmio6NNdHS0adSokbnttttMdHS02bx5s73m3Llzpl69eqZLly5m4cKFZsSIEcbLy8v8+OOP+apB7n7//XfTpk0b8+mnn5rly5ebsWPHmnLlyplHH33Uoe69994zpUuXNpMmTTJz5841derUMbfeequLui7Zjh07ZkJDQ83dd99tFi9ebB5//HFTunRps2PHDle3Zhnz5883N954o/niiy/MDz/8YIYPH25KlSpl3nzzTYe6p556yoSGhpovv/zSfPnllyYkJMQ8/fTTLuq65Dl9+rT9z3FJZuTIkSY6Otr89ddf9ppdu3aZMmXKmMcee8wsXrzY3HPPPSYkJMQcOXIkXzX4n7i4OBMdHW1++OEHI8mMGzfOREdHmwMHDthrIiMjzdtvv21++OEHM23aNFOnTh3TqFEjc/bsWXvN77//bnx9fc3QoUPN4sWLTa9evUz16tVNfHx8seyHhzGXnGpBkerWrZtSU1MdxoKDg7Vo0SJJF5+w89VXX2nJkiU6d+6c6tevr//85z/ZLnI7ffq0xo0bp40bN6p8+fIaOHCgevbsWVy7UaJcuHAhx7Mn4eHhDv8Mf+rUKf33v//V1q1bFRISokGDBqlTp04On3GmBrnbtm2bPv30U/3111+qVq2a7rjjDt16663Z6mbPnq05c+YoOTlZXbp00TPPPGP/51/kz4EDB/T222/rzz//VI0aNfTMM8+oSZMmrm7LUtauXasZM2bo8OHDioiIUL9+/dShQweHmszMTE2ZMsU+h/2WW27RE088wVPUnLRp0yYNHTo023jv3r314osv2t/v2LFD48eP16FDh1SnTh298MIL2Z4w6kwNLlqzZo1GjBiRbfzf1yOdOnVKH374oTZt2qSAgAC1bdtWjz/+uHx9fR0+s3HjRk2cOFHHjh1TgwYN9NJLL6l69erFsh+EXQAAAFgWf6UEAACAZRF2AQAAYFmEXQAAAFgWYRcAAACWRdgFAACAZRF2AQAAYFmEXQAAAFgWYRcALGL16tX6559/inw769ev119//VXk2wGAwkDYBQAL2LNnj+677z4FBAQU+bZOnDihe++9V5mZmUW+LQC4UoRdALCAESNGaODAgSpfvnyRb+uuu+7S+fPnNXfu3CLfFgBcKcIuALiR5ORkzZ07VwcPHnQYX758udavX5/jZ44ePaqFCxfqoYceso9FR0crJibGoW7r1q1au3at/f2GDRv022+/6ezZs1q3bp2WLFmiM2fOSJLOnDmjZcuWadWqVUpJScm2zX79+mnSpEkF3EsAKD7erm4AAPA//v7+WrJkid58801t3LhRvr6+Wrp0qW6//XatW7cux8/88MMPqlKliurUqWMfGzdunK655ho1bdrUPvbVV19p586d6tSpkyTp448/1pYtW2Sz2XTttdfq77//VlJSkt5++229+uqratCggfbu3avSpUtrw4YN8vf3t6+ra9eueu2115SQkKAKFSoU0dEAgCvHmV0AcDOTJk3S2bNn9eKLL+rkyZN6+OGHNWrUKLVs2TLH+i1btujaa68t0Lb27dunH3/8UUuXLtWOHTvk6+ur//znP1q1apWWLl2q7du36+TJk5o9e7bD5xo1aqTMzExt3ry5QNsFgOLCmV0AcDPlypXTzJkz1alTJ61cuVJ169bV8OHDc62Pi4sr8FzdLl26qG7dupKkUqVKqVmzZvL09FTNmjUlSaVLl1bjxo21d+9eh88FBATIy8tLcXFxBdouABQXwi4AuKE2bdropptu0uLFi/X777/Ly8sr19qyZcvq1KlTBdrOpSHZ19dXZcuWzTZ26bzdlJQUZWRkqFy5cgXaLgAUF6YxAIAbWr16tZYuXap69erp9ddfz7O2bt26OnDgQLZxY4zD+7S0tELrL2t79erVK7R1AkBRIOwCgJtJTExU//799cILL2jp0qVau3atPv7441zru3Xrpt27dysxMdFhfN++fQ7vL707w5VYv369atSo4XBRHAC4I8IuALiZxx9/XJUrV9Zrr72mWrVq6cMPP9Szzz6rPXv25Fh//fXXq0mTJtnue7tu3To9/fTTmj59uh588EH9+eef+uOPPxQdHX3FPc6dO1cDBw684vUAQFEj7AKAG9m9e7c8PT01c+ZM+fj4SJIefPBBPfvss1q8eHGunxs5cqQ++ugjh6eaPfTQQ6pfv75++eUXtWzZUjExMbrlllt07NgxSVKrVq3Upk0bh/W0bds2210fOnbsqGbNmjn0uHXrVg0ePPiK9xcAipqHuXRSFwCgRHr++ef1wAMPqHHjxrrlllt0zTXX6P333y/07Xz++ecqW7asoqKiCn3dAFDYuBsDAFjEO++8UyzbGTBgQLFsBwAKA2EXACyoY8eOqly5sqvbAACXYxoDAAAALIsL1AAAAGBZhF0AAABYFmEXAAAAlkXYBQAAgGURdgEAAGBZhF0AAABYFmEXAAAAlkXYBQAAgGURdgEAAGBZ/w/xdymJWBiUUAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 4.2))\n", "ax.add_patch(Rectangle((-PERIOD / UM / 2, -SUBSTRATE_THICKNESS / UM), PERIOD / UM, SUBSTRATE_THICKNESS / UM, color=\"#8e44ad\", label=\"lossy PDMS\"))\n", "ax.add_patch(Rectangle((-RADIUS / UM, 0), 2 * RADIUS / UM, HEIGHT / UM, color=\"#55c2b5\", label=\"Drude silicon cylinder\"))\n", "ax.set(xlabel=\"x (µm)\", ylabel=\"z (µm)\", title=\"Periodic unit-cell section\", xlim=(-PERIOD / UM / 2, PERIOD / UM / 2), ylim=(-60, 300))\n", "ax.legend(); plt.show()" ] }, { "cell_type": "markdown", "id": "fdc032c3", "metadata": {}, "source": [ "## 2. Build and plot the 0.6 THz scene" ] }, { "cell_type": "code", "execution_count": 3, "id": "a155c561", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:44:39.719893Z", "iopub.status.busy": "2026-08-16T19:44:39.719758Z", "iopub.status.idle": "2026-08-16T19:44:56.919372Z", "shell.execute_reply": "2026-08-16T19:44:56.918749Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Yee grid: (66, 66, 200)\n", "Time steps per frequency: 4,196\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "preview_objects, preview_arrays, preview_config = run_scene(*_build(0.6 * THZ, with_device=True), seed=0)\n", "print(f\"Yee grid: {preview_objects.volume.grid_shape}\")\n", "print(f\"Time steps per frequency: {preview_config.time_steps_total:,}\")\n", "fig, axes = plt.subplots(1, 2, figsize=(11, 4.4))\n", "fdtdx.plot_material_from_side(preview_config, preview_arrays, \"y\", position=0.0, ax=axes[0], plot_legend=True)\n", "fdtdx.plot_material_from_side(preview_config, preview_arrays, \"z\", position=20 * UM, ax=axes[1], plot_legend=True)\n", "axes[0].set_title(\"Voxelized vertical section\")\n", "axes[1].set_title(\"Voxelized resonator plane\")\n", "plt.tight_layout(); plt.show()" ] }, { "cell_type": "markdown", "id": "ac28f9f4", "metadata": {}, "source": [ "## 3. Run empty and device cells" ] }, { "cell_type": "code", "execution_count": 4, "id": "82b28936", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:44:56.920690Z", "iopub.status.busy": "2026-08-16T19:44:56.920553Z", "iopub.status.idle": "2026-08-16T19:45:23.795731Z", "shell.execute_reply": "2026-08-16T19:45:23.795241Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Six local FDTDX runs: 26.9 s\n" ] } ], "source": [ "reflection, transmission = [], []\n", "executed = {}\n", "started = perf_counter()\n", "for frequency in FREQUENCIES:\n", " _, empty, empty_config = run_scene(*_build(float(frequency), with_device=False), seed=0)\n", " objects, device, device_config = run_scene(*_build(float(frequency), with_device=True), seed=0)\n", " reference_power = _mean_flux(empty, \"flux_t\", float(frequency))\n", " reflection.append(_mean_flux(device, \"flux_r\", float(frequency)) / reference_power)\n", " transmission.append(_mean_flux(device, \"flux_t\", float(frequency)) / reference_power)\n", " executed[float(frequency)] = (objects, device, device_config)\n", "print(f\"Six local FDTDX runs: {perf_counter() - started:.1f} s\")\n", "\n", "R = np.asarray(reflection)\n", "T = np.asarray(transmission)\n", "A = 1 - R - T" ] }, { "cell_type": "markdown", "id": "629b4d1c", "metadata": {}, "source": [ "## 4. Plot an actual simulated field" ] }, { "cell_type": "code", "execution_count": 5, "id": "a984d6d4", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:45:23.796988Z", "iopub.status.busy": "2026-08-16T19:45:23.796869Z", "iopub.status.idle": "2026-08-16T19:45:23.994397Z", "shell.execute_reply": "2026-08-16T19:45:23.993903Z" } }, "outputs": [ { "data": { "image/png": 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Yt26dt8Zt0zJ95StfwfOf/3x873vfw+WXX44Xv/jFOPXUU/G73/2ulgz2wl577YV169ZVLj126aWXgplxxhln4MADD/RU6xUrVuD888/HCSecgHPOOQdvf/vb+8r7KU95Cq6++mqcccYZOPPMM/GEJzwBf//3f49HHnkEP/3pT7HJJpvYsHV1mMLuu++Oa6+9Fp/97GfxyU9+EhtvvDFOO+00vO51r4vMK/70T/80Mm3Zfvvtcf311+PMM8/El770JTAzXvKSl+Atb3mLtRlugsc+9rHYa6+9KneY22uvvfCMZzwj6bd8+XLstdde3uTApzzlKdhss83s0n8Sr3zlKyPTkoyMjIxBQGymaWdkZGRMOT7ykY/gjDPO8NTOhZBXRkZGRsbokW2CMzIyMjIyMjIyNjhkEpyRkZGRkZGRkbHBIZPgjIyMBYMnPOEJjTYdmba8MjIyMjJGj2wTnJGRkZGRkZGRscEhK8EZGRkZGRkZGRkbHDIJzsjIyMjIyMjI2OCQ1wkeEGVZ4v/+7/+wfPnyvrc7zcjIyMjIyBgPmBlr167FVlttFe1+OR949NFHsX79+pGlt2jRIixZsmRk6W1IyCR4QPzf//2ft7h7RkZGRkZGxvTgjjvuwDbbbDOveT766KN40pO2xt13/6F34IbYcsstceutt2YiPAAyCR4QbtvYAkBWgjMyMjIyMqYDDKCMtn+fD6xfvx533/0H/O62b2HFimVDp7dmzcPY9omHY/369ZkED4BMggeEM4FogzIJzliQYMRLx+TFZCYTlPiV+6WMjBRUz7Z+rKaMKzZeghUbLx0+obIcPo0NGJkEZ2RkVEA93qWocMbkIj+UZ2RMAcpyNAQ2k+ChkEnw0OiC86CTkZExVnDiKCMjI418l2QoZBKckZGRkZGRkTGfyErwRCCT4KExk5dIy8jIyMjImBKojXK74y6E+owinYyBkUnwkCC0sg1eRkZGRkbG1CDPdMhQyCR4SFCRleCMjIyMjIypATN43FYEJY/IHCLT+WGQSfCQIBSgvPt0RkZGRkbGlGDcDBjZJnhCkEnwkCBqgyiT4IyMjIyMjOlAJo4ZCpkEDwkiyuYQGRkZGRkZU4MJGLOzEjwRyCR4aBT6k5GRkZGRkZGRMS3IJHhIECbimTIjIyMjIyNjWpCV4IlAJsEZcwvPVCQ/LmRkZGSkIWb557VfFz54RCR47MtcTDcyCc6YOyQIcKbBGRkZGT4U5SV7BKJMhDMy5gGZBA8LKtQnoxaZ/GZkZGSkYfpHlj1lnnC9oEFcgkag4o4ijQ0ZmQQPiWwTnJGRkZExCuSxZANCtgmeCGQJMyMjIyMjIyMjY4NDVoIzMjIyMjIyMuYTJY9my+O8bfJQyCQ4IyMjIyMjI2M+kc0hJgLZHCIjIyMjIyMjI2ODQ1aCMzIyMjIyMjLmE1kJnghkJTgjIyMjIyMjI2ODQ1aCMzIyMjIyMjLmE8yj2e0tb6oyFDIJzsjIyMjIyMiYT2RziIlANofIyMjIyMjIyMjY4JCV4IyMjIyMjIyM+UReJ3gikElwRkZGRkZGRsZ8IptDTASyOURGRkZGRkZGRsYGh6wEDwkGA8ivI+YWJP5mZGRkTB44cZQxmeBJuEY8IiW4zxUm1q5di0984hO47LLLsHz5chxzzDF42cteNrI4a9euxSte8Qo8+OCD+OlPf4pFixYNlfdcI5PgYcGZBM8ZyNBeBkD6b0ZGRsZkITkC5KWrJhcTcG2oLEEjIMH9pMHM+Iu/+As89NBDOOWUU3DbbbfhVa96Fc466yy84Q1vGEmc448/HnfddRduuOEGlKJsg+Q9H8gkOGNyYToqIphhZvxd17hBiaOMjPEgq58JTADByshI4fvf/z7+67/+C7/97W/xpCc9CQBw77334n3vex9e+9rXotVqDRXnH//xH/E///M/OPHEE3H00UcPnfd8INsEZ0w+mPPHjquZdmRMBpItcez3yQR8MjKaYAxt7ic/+Qme+cxnWhIKAIcccgjuuece3HDDDUPF+fWvf42TTjoJ//RP/4R2O9ZXB8l7PpBJcEbGVEB2eO6T/+V/4/pn2yEjE8CMjDFjzZo13mfdunVRmNtuuw1bbbWV52Z+33bbbcl0m8RZt24djjzySHz0ox/F9ttvP3A648DUmkNceOGFOPvss3HIIYfg2GOP9fyuv/56nH322bjnnnuw00474e1vfzs23XTTvsNkZEwkMtnIyMjImG6MeIm0lStXes6nnHIKTj31VM9tdnYWixcv9tyWLl1q/VJoEudv/uZv8OQnPxmvf/3rK4s5SN7zgalUgm+//XaccMIJ+PnPf44bb7zR87vqqqvw3Oc+F2VZ4uCDD8YPf/hD7L333njkkUf6CtMU41Zj8r9h/2VkZGQ45HcsG8a/scOQ4FF8ANxxxx1YvXq1/Zx00klRlo997GPxhz/8wXN74IEHAACbbbZZsphN4nzlK1/BzTffjD322AN77LEH3v/+9wMAXvCCF+Dcc88dOO/5wNQpwZ1OB6985Stxyimn4HOf+1zkf9JJJ+HFL34xvvCFLwBQNifbbLMNzjnnHLzlLW9pHKY5zGvBjOlCnlaWkZHhg8VfRMcZCwcL77quWLECK1asqA3zp3/6p/jud7+LdevWWVX2yiuvRKvVwk477TRwnH//939Ht9u1cS655BK8//3vxyc/+Ulst912A+c9H5g6JfgDH/gAtthii6Ts/uijj+LSSy/FYYcdZt023XRT7L///vjBD37QOEzGhoBsVzs5/zYc5BY32f8QfTIy5ghm2+RRfBriyCOPRFmWOP300wEAf/zjH/HpT38aL33pS60ae+edd2KPPfbAZZdd1jjObrvtZlXgPfbYw9oF77777th6660bpzMOTBUJ/slPfoKvfvWr+NKXvpT0v/3229HtdrHNNtt47itXrsStt97aOEwK69atiwzPMxYCUgNf/szPx12DDYFusPjrXPJn8j4ZGfOAEZtDNMGWW26J8847D5/85CfxpCc9CVtttRU22mgj/P3f/70N8+ijj+LKK6/EqlWrGscZVd7jwNSYQ9x333045phjcO6551Y+Naxfvx4AsGzZMs992bJl1q9JmBROO+00fPCDH4zcmXPHOa1Qe3Fks4jxgWt+LVRsGGc5/eA8/3QBgzfgi3vQQQfh//7v/3DzzTdj+fLlePKTn+z5r1y5Ej/72c+w4447No4T4kUvehF+9rOfRRPh+k1nPjA1JPhb3/oW/vjHP+LMM8/EmWeeCQC49dZbsWbNGtxyyy343ve+Z1d3SBlfG78mYVI46aST8M53vtP+XrNmjZ6NmUnwdILALDalyxgz8j2UMSmQBDi3y4WJCbiuJY9odYj+z2Xx4sV41rOeVem3xx579BUnxGabbVYpVvaTznxgakjwgQceiCc+8Yme269+9SvstNNOOPbYY0FE2HrrrbHZZpvhuuuuw4EHHmjDXXvttXj2s58NAI3CpLB48eLoqQYwL3LHf0NRza+MFPTLaWbk+srIyHAYf38+XeDE0WRjIgywRrW29gasao8CU0OCt912W2y77bae2/ve9z486UlPwkEHHWTdjj76aHz5y1/Gm970Jmy22Wb48Y9/jGuuucYaYxNRzzD9YTJIsKJy5P3KaIrxX7+MjIyM6YMkwNPUj05TWTPmElNDgpviwx/+MK677jo89alPxVOe8hT84he/wIc+9CE8//nP7yvMNGK6OqEND1mtz8gIMX0qYoZBvmJDYcSbZWQMhqkmwZ/73Ociu5ONN94Y//7v/47rr78e99xzD57xjGdEW/U1CTP9yB3UpCGr9RkZaeQH+IwNDswD2fMm08kYGFNNgvfZZ59Kv5133rln/CZheiKvDjEBoKnhk/5gn4lwxoaMKew32f7JmGZk4pihMdUkeDKQSfD4IFRVnh4i7CO3nYyM6UH4EJsxnZiAa5fNISYCmQQPCaXsbaiNMGSdNM88NBiQeCpZ8AaCaX1ImUdklXHCMbnXhsXf0DUjRja/yTDIJHhYjPNeGjupMCc/KXauuWObPCwEtX4eEBHg3JYzmiEmwPPUdqa5iU5C2bMSPBHIJHholJifkT1WXcfOOS2mdZmcacG4FfdhkNX6Zpje+ya+56f3XDIagit/JH5PIiagjOWIJsaNIo0NGJkED4n5a36siQ+FzhmTjqF536Qp7sMgN9iFhHii58gSzpgKTKcAMj0lzZhrZBI8RTCvvUj8ypgkJNT6kWI6B5yMjL5QuWVxbvOTiHxVBgSX6jOKdDIGRibBU4jc6UwqslqfkTF65Ee+jAWIbA4xEcgkeGjMl01wxvxgODU3q/UZGaPD4HdQVpEz6pDbQ4ZCJsEZGR5GY3+bu9iMjElAvhMzJhR5dYiJQCbBw4KzEjxdSCi9ycuXl6vKyFiQSK7HnO/xDQqTsGNcNoeYCGQSPCRy85s2hHa7ef3ajIwNBon1mHMfvuEhX/MMg0yCh0ZWgicP9Xa9cnF5a7ube8UJA/nHC+EWywrkRKG65vM1WviYgGta8ojMISbgXKYYmQRnLEA0t+vN3cekgsWWIAtArY8aWlYgJx/5CmVkLHRkEjw0soo4cbBkSZLffJFGj7ldF5kXqFqfVzyYBnDyMGOhYAIuarYJnghkEjw0cgOcOFghmDDdu6tNOuZnJ7t8h4XINTK3YPGV63phYhKu64g2y0BeHWIYZBI8NPJrzUkFRTtPZTLcN6jyh0BeSWMykNXL4ZEnzW0YyFc2QyGT4KGRb6bJg3mBnlgJIqM/MOAmpmVVfXKR1ctRgvOD3QLHBFzTbA4xEcgkeGjMdQPMpKN/cHBUd41y/fYCmYlpADIRnkRk9XK0yDU4PCa9DiegfJkETwQyCR4ac9EAJcnIDXxukNXhZiCxFXSus0lGb/qbr1t/yPU1GkxiPU5imTLGgUyCJxL5Bh0PssIZI1TVM6YL+ar5aFofud4y5hh52+SJQCbBGRsoUq/188CXRlaAFw7yNXTIdZExRmRziIlAJsFDg7BwFMQN7Wba0M53lFgobX6hI9XGc7vfMJHv2YyMEJkEZwiYdXUzMiSyar5wkK/bholMgCcOWQmeCGQSPDQWkhIMDH4uC/FGXIjnNChyXWRMIxZS3wwsvPPZgJFtgicCmQQPjYVGgvtFatewhYKsjGdkTCcWWp88t1uUZ2RsqMgkeGiQWDpqQ0S4nBt5v3xMI6FsskvahoAN7XynFRtaX7SQzjc+F+rhnzEYJqI3Y1afUaSTMTAyCc4YIaq7bF4wmyyktmDeEDqhrIpPPhbC/dUUC1MZ3bAFlYyM+UcmwUOjBVCeNJSGq4fKzn3qtnlNkV/yfsX+GRnzhYVEonrpoNN6rtRH0af1HEeJOaiDSVBP88S4iUAmwUOjl03whtxAG3ReEaecpvrakJRvYGHafS8UZGV0shES34VyXnMFqjheQBgzCV6zZg2WLFmCRYsWjTTOmjVrsHz5clAgDna7Xdx3331R+Mc85jFYvHhx84KPGMXYcl4goOS/Qnxa8/gpAO9DU/LR5aUCoFafn2JCPuR9Fs4/2ZZ9N0xte1vYn4X0D/Dvq/Hf500/iX5q6u4VV95xjGVxvzPqtrVh4uqrr8ZOO+2EzTffHMuXL8fRRx+Nhx9+eKg4Dz/8MD760Y9im222wcqVK7Fs2TIceeSRuP/++22YO+64A49//OOx0047YZdddrGf/+//+//m7FybIJPgYRGQn7F+ouFj3J3oXH8QHI8TQbloUso1Svj1Hw8o424PG/LHXZWF0e5I3UOkj6fmvMbdDkbzkWOIN46Me4wb6Xg5ZnDplkkb5sPNl0hbvXo1DjzwQOy7775YvXo1fvOb3+Cyyy7DO97xjqHiXH/99Wi1WrjmmmuwevVq/M///A9+9atf4Y1vfGOU3s9+9jPcfffd9vPCF76wn1obObI5xNCYoM45cWM3LxkHh9PwyptgDA/M8WSAvK8Yk1LOYSFsvhfKKU08qI+bekL6pUaYhrJScDQlZabgd8ZkYAzmEOeddx7Wrl2L0047DYsXL8YTn/hEnHjiiXj729+OT3/601i+fPlAcfbYYw/sscceNs4222yDgw46COeff36U3uzsLNasWYMVK1YMdr4jRlaCh8b4n9pH/iGM/ym98ZP8tCnfCI6nGeI8FqTyPUkw7V4fN25rk4xx34v9fczf6VJGp6+e5++z4eGqq67CLrvsgo033ti6Pf/5z8e6detw3XXXDR3ngQcewJ133okf/vCH+PrXv443velNUXq77LILttxyS2y55Zb4+Mc/jm63O6KzGwxZCR4SC8e+aJhz4EDbnCdZsKfyzd7XZCiwhMlUr4eBPg874AIL47wmBVRxPM2g6O/4Qd7XxJULk1Zf042x91AlRqQEq681a9Z4zosXL44mnN133334kz/5E8/tcY97HADg3nvvTSbfT5wjjjgC11xzDVatWoVXvOIVOP74463fzMwMPvnJT+JNb3oTNtpoI1x88cU44ogjUJYlTj755IYnO3pkJXhYjP1Jf8wfTx+ZUEXWKCLjrquoviawrgZWVOQxRph2/vh1ujDqVv5Vp0QT8NHlmID6SdXVdCnQU/AZN4w5xCg+AFauXIlNNtnEfk477bQoSyJCp9Px3MzvVquVLGY/cS655BL84Q9/wK233opbb70Vhx56qPXbeuut8a53vQvLly9HURQ48MAD8da3vhVf+MIX+qy40SIrwUPCzZQfFcaiqQ6IUP1zoDCc+Jq/s6rr6MalXts/vlOqHNk2OwOAbCHT89aJvK/6e3E+QcHRJJSLgsOmZZqEsg+Guh5wftB8Mtm04I477vDsbFPLjm299da44oorPLd77rkHALDVVlsl0x0kzrbbbov3ve99eOlLX4r77rvPKschtt9+e9x5553odDpot8dDRzMJHhajfqpkSSJ4wru5ZqWzlIjMrzGfFQOKTrBwoAmjbtUPGBMFS9RJUOEJL/MUwidsNEVVTMH3+BDSX3s8/qIhLNNEFGlOMe5rMP4a5pLBIzCHMGmsWLGi52Sz5z//+Tj77LNx7733YvPNNwcA/PCHP8Qmm2yCnXfeGYBbz9es39skDjMjXBf4D3/4A4qisGsKp8JceeWV2GabbcZGgIFMgofGaJXguSU+HKmMcw2jDfY6H04czRVYVG8DRXYs6jWLx5/JouYRbHvV19p7iMsYDaiyzU4uxqVeD6pAz30Z+1c/J+BaeyL1XJZnAs51A8Bhhx2Gpz71qTj66KPxiU98Arfddhs+9rGP4d3vfrdVjm+99VbssMMOuPDCC3HQQQc1ivP+978fG2+8MV784hdjk002wVVXXYWTTjoJRx99NDbZZBMAwKmnnopFixbhgAMOwEYbbYR/+Zd/wTnnnIOzzjprbPUBZBI8YZjbjkCmzvOyplWD82H/x3wPRVWYd/XaI9tmuOF5qZHhIeqHshI8d5gcVbUJIvVa/pyn3CdLVZWMcnJKVQe/9qajzFMD5tFs39xHGosWLcIll1yC97znPXjpS1+K5cuX433vex/+5m/+xoZpt9vYYostsGTJksZxTjrpJJxxxhk4/vjj8cADD+AJT3gCPvzhD+O1r32tDXPiiSfi9NNPx/HHH48HH3wQT3nKU3DxxRfjxS9+8fB1MASIeRI20Z4+rFmzBptssglm2luAaFrmF3IPM9NxNIX6PMelXsvj+amVprlw9OAwGZBXalLKtFAw7TbBYZnn62F/nglc36rpfF/LAfKjqvqcbjCXmO3cg9WrV8/7erWGO6w6/fVYsbT5lsWV6T2yHo/563PGci4LAVkJ3qBAtdYWPkGehMlrY1Sv2Sma82Mt3HuAidXpZvHmFNkmeF4wXlV1GIxDkR2XvSlNKGHUrWdK1OeMjPlEJsFDgqiVVoJ5+nQx8uxl+8VcnaVTr9NFm4t8ufZ1pacPz6tttQTNq05dCWkTzI4KZ4wSdarqpKKKEI6o/H2prnNRZxVpjl05HUddjB7OpHuuyjsB9TCGHeMyYmQSPCTCzTJ8tU4fTtVSV/0jPrNRnus41OtJVaelm7EWHn9nbtXf+bKf3mAxiXaudZg7RXZ8tqqTqKr6dTFJJRsIFF/b0Z/TBNRSJsETgUyChwUV6mN+mgPJzub1fpt/fdBM4qoFz025eqvXo82RrU2uUjznb8hR58lWaaUJeK6Sq38484yJUKgXFJoSgfm1vfWzaHInzJEiS+OgfvM7SbGZMjr/xG5uH8SnyewnY1qRSfCQqNw2eV5fXXIkhvZ6mT969DBWkP3ZSOdi1p2pVCVHkyfpQZetzfD82k6TXdN4GNOVUYHEw56r50lRqDcsCFI2j1VPmF8yKHMG5luRHZPiOvHKKPn9+1Tc+xNQxqwETwQyCR4ahPHfUKJD9qXoBMKd0uYW9g05xEFUXXOhHWqV1irQo7pGWv0kocjOC1ifyhgUaO8ouErmYS9lB5Qxf7AkZIxmAvOuyI7+XP1+dH5V194Ecm6U0cGJ6zTf6+MvO/OINsvIC3wNhUyChwQRxWrERLRJz3LVK9K83/4xQ0e1ej2ayuNgwKCRdRTydf9oVeZe+RIZc4z5V6ClIUZtsIyxYMNSZF2+I6fdgeo6/4qreZhoEnaUoOjvxGBOijNh55gxNmQSPCTUjnEt4SJfU8+v6lqNYTpzf53e0Z2R2xACWlVNrYEwcOqW9Oq0RzhINyLrI7eBFva387ohxbgU6Iz+4R78pl2RbZRbwkxgdOnPjXlJ9XWZ23qj6Dwm+z6Oyfhkl3cgZHOIiUAmwUMiVoJJTJ5aCLcuOeJLFSRo4HvQ3xFtdHUlSC+7NWxT4QZHjxQXmgI97zbQGf1hgSmytVmOyka2h+nBnCmyJtU5qrFkshOs9FZiLk1spqUOMuYamQQPidQSafFT96jA3vH8vRAXJxNl6k/Q6q9Udd3bMAp0cxvpUdfi3CnQYsLZHNk5x8cOjlzlwWM6MZf2s/Ov2EVkrs/7rJ5YDX4OFJVlvuojzIdqf44mzzDhuTvX+TdLmQdkJXgikEnwsCDyOr05vbWYPNI2lts4ylQq36N8XV6hQA98v8tyuVocbR1WKdCj6KSEEqzzmDuVOXeqCwuyfxrlu/1RKbK1mTQqw2C5j1iRDZ68590kZc6U6x75QpzrBHDLZpiAgmYSPBHIJHhIKJvgxI5xc5KZIoODN3kWX6OagGaUb0egRkbN7AQwke5I+i5Ri8GDxfDpAoaojpRqs6Gqsi7mSmWen42ie6O3Qj156KHIjQGxYjs3ZYpTDdXIftXadKpVufWV7hzUhV/e0b0N7FdxHfUZJV6rVYQcf1tvjmnpTzLmGpkETxWG72pGRyQVzG54c2LbSzrdkdtXi/IalXlEfSILojqYElRhtqFG7jlQmKVZhVaZeXSGFsPAX49i2hTqCZpCOOcrHiQz9Y8HVimHUXrrijXidGUGc6LIBuWdt8Y1V/WUAebRrJmfl0gbCpkED4mCWiByq0P4zXHyGmdS9wzXKusvwQbxBlOgLY2s7HsHtZEmsZW1VlZHptoI9ZpHoTG7NTNi9bdhoZP17pvVeCtzzNvkqqBMQWcuB95RrhwylxiqhPNgS5pONSaso8tv8HNycytGWxdemfpo63OryMp676W49p+6F6ePqHMgbfSJuSnBJIzMXKrPKNLJGByZBA+LcNtkMZBPwo0WI1SCgoltAxHi3urSIAp0bXD2vnqHD6MTA8LcYnSGBcKulqjZM0IqrsWwgwAHKnIa4xjiPAXalqJiYt58FGicmBf72mTGURnmXMVsHkXEGnVtGMV2cDI5+gnQc3GujviObyOVweC1l5E/mE/m6Jwx/8gkeEhE2ybP4SQ5T1cc4aQo75f9yeKv7zZYLqNVoJkMeXW2vU3TmT87Zp1y43F/1CqyS9VNqBvtesyxytyPHh8q0CMs1xSjt1qLkZICn5zOgeo6wHWNyjSyNzVButFRj9gROW8euxmGJ+f+UfxrpIjGu2m5fyegnHli3EQgk+ChQRiDZjOy1/e9clNK5ijU7dEq0JFVbB8bSMyfHXO/dsGmTP2ryPVpAnPzWjGlMjd/GBltWRYyAgWPYtd02MHyGRmZGYWaS0PErU/YpdtX0vNNfpvn4a/QMF9j0nSpyw4TUNZMgicCmQQPCaICRPOxOoQgeZXiolQPR3hj1KrbQZ6NsxVKKQhE/a6koGMGymvzrEdvx2zIphqDBlCZ2Sjb/avIsgT+oVPLR29XO8cqc0Yl6pW+wes/IncU+w6WVn9ks9kj2yAPdqNQc3WMgclmqtxD3jNz/LBQm/YQbWR8yMQxQyGT4BFgmNt+IM2sMkMag02yv2hbfwo1axLbb1mFHS8x2GY6Xjtmw619294+hqVRqcimMIIIu7+jhCS9o7WtlnlMJ8ZFBuZQqcQgV9gonKMuj00dIoN+Y6H/MqUU274ouAs/UpOWuVFk50pdHjdVnoReJU+MmwxkEjwkiFogalKN4UwuR5VGWyB/1n9YhtHe/M4elz0S1DQXN3il6qHaBjrQwQJld1g7ZrX5hyT3fajTdoA0E++alWH8KnKzEvoFUnnOn/o7CUNXHUanyA5fgvGquTHBHCUNHreaO+ADwQg29qjNd2TXuWfiI0GU54iJdu+8xwwekTlEXiJtKGQSPCSiiXE1IdWX2EJhTtpuHZ0Mt9qoLkBTy1zz5c7Ft7UdBjKV3gpzMPwPrIhrBdYJsn2k4B4C2A7UzR51yHLMcajIdQjUXk9hRn9lHCBXP8OJGLoaYq4U2WEwqJoLDP66PaiHkVXFEOcytJoriduAKnDfJHUwRbZBz+N9z2t7Fecy36tqT9Aq3hljRibBQ6I5CXYxUofN4BPYfkwpqrPy7XgH1vVGrkA7JZUtqesjFZLq9GC2yv4KEk1LXaci19hs22ckOSjNky2yTSQVIyD2oqx9Jt7f5fNiTt+AlVRkG0ca7fkOqub6JWmmElKFe3USDRTOHvmOXM0deMWDBvF6qLVzpcj6xH3wdOKSDPYgEaczv5gIElzqzyjSyRgYmQQPDUL/T/XD5DXSzXhhBkVLfgdWp5sq0E3JmVNSzeS3/hRmp4b2a9urdkyry7P6DOpVZBJXsILk9hgk03liOFtkbcZRv8zcIMNGLxW5DpOloc45AgI8+rMnd0vNQa0OpvQOqgK6h7G5sM2NHhr6TbNPkpkikyO/TnO+BvS03anTVt6MuUImwUNi/laHEHmGVq/ez2bmDnGaVEMWh1Sg9Va/PAA5U4MKo78X/HOtIoerHsdpp9dHHWJFizoVWWdTpSL3tpH2VeS+n4PmVEUeBv0r0ADmTJHtK+vKvPslmsOquT1SHpq8z5GaWxutrqyB3wBtwZWnX3FE3iPDkejqcP2VKJlTMqFxkMrwzKeL2HLJ4BHYBI8ijQ0ZmQQPDcL833yBckF1pHjQVEOfQRVoBuvls6ivpSNS6/jOl4rszjF+MGAtalKfNSIeAAZa0WJwFdmti2zcq9XeKJmemCsVeRgMoUAPTermEiR42dyUafB1cwcjsCq73gSuLmf1NSDhDPtSV6jBy+Ll0Ee5aMB4XglG2S6qHlDGfz/4dTTIo9f4zyGbQ0wGMgkeEgVaKNAaYYqDrPUbkuI4zfDvIBhMgabkYVU8aVlMNpP5VpFh84xVZDVAWr/GTxySxs/vusjD7q5X9UthrlTkYTC8Aj236lK/RLNpeQYtda97NEy3TiGcJ/I2gpUW6pTX8aq5/ZxVQLwHugapPEfR7ufzQbLf9Of37W3G5CKT4CFBRKARrvfI3qSqEaQHwEhhJI4HyyFFtgVlt4Qmpa70KmMqrFGR0aet8lyryMJmuK9r32Rd5B5q6gAq8mh21wNM26nKxf1tiiYq8jCYCL0nAAkOPDel61/N7SPdwMV89bVCTuRi0hmQcI6IqMbXZFrUXPMQQpFbP7mmfg0HUbcjHCNHgYkoDWM03V62hhgKmQQPCUIBGuFTJdGwiq2OraNT4G7zqYrXd96OKFKfKykArEm/yTMkd70UqvlWkX0lNZh61wCKnPRSkevVVxJcgbxwvqhaYadcFa8qP01SBxk05lxFnjKMRmWrSqXXvVJH9hrm25jspvJMxJtjNbc+djVhdGn2S65lWuEZp/OLs6jLM6yppuXrt577qMdkX+SnNRGEM8Aox+xBkW2CJwNTR4J/8pOf4PLLL0e73cbee++NffbZJwpzzz334Bvf+Abuuece7LTTTjjiiCPQbrf7DtMMhFE/Vw42KPj01XVOzV67syZ2/VFYh/60SRFPsVWbv59a71rorSKP0hZZDLjW1LR/4l+pIrMzW5CEvkmaZrBh4j4vAiXOMUGE+yqPDjmnKvKGiBTx6zeFQclvkwzT/nWkcj7NDuJepYIcksxhSHIe+A1qXxsS7P5KJkn3qO4y/xxG84A3n5iWcmbMNaaGBJdliV133RWbbbYZnve852H16tU4+OCD8apXvQp/93d/Z8P9z//8D/baay88+9nPxu67745TTjkF//iP/4gf/vCHaLVajcM0xehtgkNtrj+b06pbu+dqBtREBU6pzD4JjPOvU5gNjRy9iswwZiVmBG9uDqGCV6nI5uSlzXCz8qovcc7SXafp/Pohs47GVq1tzF56NaqsSK83xqkiTzLmghKEJK06TP/kzRHKwZXeijx7brJRnZ+XZoLszsfyaCnf8LhfNbf6+vRzDwYlo7R7Ou0eac0LQZRnOg5COgF9Sp4YNxEg5unYc4+Zcd1112GXXXaxbj/60Y/w53/+57j++uux0047AQAOO+ww3H///fjP//xPFEWB22+/Hdtvvz3OOeccHH300Y3D9MKaNWuwySabYJtNXoiCZkZ1lhFZHO1Gxyb1ftNMxWs4scp7Ry/PKzzqt1QiXuXkqrg+m6Zt43Hap9oUo3falg9XlLnfFP1y1hFTFhYYo21XqSs7ZJJzk+68QBCdeRvfR02A+yGVkqCPmKgG5Lexmtszg7p441JzBfnuq92kSPsg129+Gmt85nOwLnIPlDyLO1dfgtWrV2PFihXzli/guMM9JxyOFYsXDZ/euvXY4qxvjeVcFgKmRgkmIo8AA7DE96677sJOO+2E2dlZXHTRRTjjjDNQFMrm5wlPeAL23XdffPe738XRRx/dKEy/5RrlKyalBUoXgzqi0w+qTR6qSW51F9WTGIsdzACaRxWZxSRDXyXuhToV2V4hq+g61ziP1HVyxMgfZM31rVqVokGa1pwi8LPxBlmVYhgVeQgSO4SKPF40UWx7xx89KSDR9NLkTv3tM88xrblbp+bWpyfTCksdELOI7Ial6vf6pOJpl6hu+r0SVdcvPLu6VPtvb/51GCaN+cU09iwZc4OpIcEpnHvuuVi6dCl22203AMDtt9+OdevWYbvttvPCbbfddrjssssah0lh3bp1WLdunf29Zs0afUQY9W2cTo1glkjo/3V5r9Rjy9bmRhiOrKXpkZ+ev6JEfb1V2SmnHhJi9ZOciQc7tybw04yJJZtAHKYo7YlNvNGuSlGbZhUZEOQ4XZb6EhoTC5Yn3ggN1jauj171Y4FiQCLaJF3qgyBN1Jq7NSR74Il1DYi7V+YqItlvziKdqI5T5Hf4h4WU30gfsEjmME336ASUNZtDTASmlgT/x3/8B0455RScfvrp2GyzzQAADz/8MABg+fLlXtgVK1ZYvyZhUjjttNPwwQ9+MHKfC5vgeqVXUKM+7uOYpvpUMqQoJMPVKtC+0ptKu6qog6vIkkQLG9qo9EbNbU6AbckqVGSPTlobXpev4rG6vAkC3VwpHmxVimTL0eVUpD2tbNWbUejyJBveoKtS9MK0mkIAc0I2TFo0aLoNylRDVnvZ9PY7US0uRw15a7CtcTVxdOVK5VBVuup6qlZz/aL2Sjvtlw5RRcKr00ilGvcrTeCfZ33cftvOOJGZY4bCVJLgyy+/HH/5l3+J9773vTjhhBOsuyG2Dz74oBd+1apV1q9JmBROOukkvPOd77S/16xZg5UrV2LUS6SlSZ1Evx1Kc5W3qgtzCjSS6/WGuu7cqch+TvEycAiIE/Vdpl4qsiGf8QoSLn7VqhSxItpUKRYEgyVlDa8Y16SYZAE6WkphbtJiAHsV+16VoheGVJHHhioiM4J0GxPgHmSkIVGN4iXSHm6VBt8lOjePtDUlpCIlr0z9nG8cL3W3z5eaW12ehmn3rMcmpeqHiEeZD5j33GEylkhTn1Gk0y9++9vf4oorrsDy5cux3377YaONNhpJnGuvvRa/+tWv8LjHPQ577703li5dOpK85xJTR4J/9rOf4YADDsDb3vY2fOhDH/L8nvCEJ2DjjTfGzTffjAMOOMC633zzzXj605/eOEwKixcvxuLFiyP3KiV4MKvdlHLYPGZa6a0acpramxpVU/+lMO7cqsi+fSz5MYVSbDaQ8EOkyuT7x/Umy2EeAHxCOOiqFP3ZE9epumErMfU8iD2xTjNpT2wDoJdqT/Z8E8S/RiXuhfmetDNeOEI58lUavAD1NDTtI8lujzwq06whd0Os0pC23R12iTM/f+sbEOvqmqwiyPV1bf1qr1N1uatK1SuFflbvqL0WNTkPcg/PnYo8AUowYzTF6LNbPfPMM3HyySdjv/32wx133IHjjz8el1xyCXbccceB49x222145StfiU6ngx122AG/+tWvcOedd+K73/0u9tprr6HynmtMzeoQAHDllVfixS9+Md761rfiIx/5SDLMa17zGlx77bW44oorsGTJElx//fV49rOfje985zs45JBDGofpBTPD88mbvhQtb3WIqhUJRl/N6RRHsCJCwnXwtE2MlFIYpldFlKvoW6o8zcpWv2pF7/IoMlyVZ3U92RSj2y71+n+AFTO4Kt6AabIsVfoaNCnX3KxKsZDQLwHuQWQXhF1vFaHUrlGZqohmv3RYkFxKudc9nKXJd6P6oOr4vUvcoK4bpdD/Q0NVvMHpa4pYj5YMd3kWv33wu2NdHeLuNx6OFYtGsDrE+vXY8ovNVof4zW9+g6c//en4+te/jiOPPBJlWeIlL3kJHn30UVx66aUDx7nlllvwyCOP2MUKALUK11133YUrr7xy4LznA1OjBP/xj3/En//5n2PJkiX44x//iHe84x3W78gjj8Qee+wBAPj4xz+OF7zgBdhtt93w7Gc/GxdddBGOOuooj9w2CdMUpP/5LqNHiuxV6X11e29VE5l0uatJYR2J89OtUpHdBD+CMTFI1116RQtnlFBDNhP+VSoyRGn9eKFSXLfSQrYnjtMe3J544YHcZeqTpLijmng1ZHU67XoHWaUhZY4gXJJtsbp0Kb8wFz9esweKlG+67L1K1YSAptKvKne/qMu/YbudZ0xCWZgTWsiA6TTFt7/9bWy22WY4/PDDAQBFUeCEE07AIYccgrvuugtbb731QHG23377KN4222yDW2+9dai85wNTQ4Lb7TZOPfXUpJ+05d1yyy1x7bXX4uKLL8Y999yDN77xjdh777298E3CNEVMgucSjvam6JcfLkTKijSdSmwcYPKlijjVdswpShmW0nDQlL1xqnx+yoLMejHiunJ+AdH0yDkJldgns3G9JOm1HWRlOlVxwprP9sQLGYYAN+kvehDZhkQ1ipdIOyRnzdJLu0REzSN8/RFZAIHdbUitqki079e/mluPVLzq8jSti5j81ofrp8xN7HoHs2NumnP9g8X8YyJI8Ihtgt2KVQopE84bbrgBO+64o10eFgCe8YxnAABuvPHGJBHtJ84FF1yAe+65BzfeeCMuuuginHvuuUPlPR+YGhK8ZMkST/2tw9KlS3HYYYcNHaYJRr06RNVr9JDSpW/hMHZMC9OxYoU5TkcSzjDPahXZEeNqFdn6UOgehu1HRXZEN54eF/4OzmsEq1Kk1y9WZgG+jXPinCwh2bDtiesxThWZ3CUa2WBaR1BSQetpaK88+itVAwINYH7telN+hjiHeVTnXW+7m87X8wvKTakwPcud+l1D6mtDNMmzHwpYR8j7QXX/MGzKg4AnwSZ4xFi5cqX3+5RTTomEwzVr1uAxj3mM5/bYxz7W+qXQT5xf/vKXuOWWW/CLX/wCm2++uWeeMUje84GpIcGTCqUDj2amqXu9L4mOzMv9TcV2RMb97p2nJGXVKmWs/45ORY4JdmpFC9/FhjRjkVdZfk1Wpej0y/RwY0s70KoUqXV+YVVn5oSfl1ZMLNkE4rjWw0eXKiobwxHuuVmfOIyZrrX+MS4V2RDgUQzbPYhs35vwUPA9eDmistSRodqtkXsQwoj8Vj0MhDmLo56rNKTqOV1XadM2kk59pVtFePunfv2ouU3L1SxfP35/sZukHKc/95gEJXjU6wTfcccdHulMTeRfunQpVq1a5bmtXbvW+qXQT5wPfOAD9vjYY4/FIYccgt/+9rcoimKgvOcDmQQPiUGU4CplLNT1+rtNDXWqUk7jI4g8TOx0ng0megXxe6vILkfywiAZLs47SNdjwaIUXJV3WFI//mCrUvRO11eJ43Mdnz1xHVLUw8fc2RP3Kpkh8RMwqPWErMea8tacT/3gXe3nk+te5akghhNn1xuS3VTp0gQ5VfYoZ2qS7iB1MldqbhNy3a8iW39f1Snp9fHCfOf3/uWRr+0/QBlGbA6xYsWKnhPjtt9+e3z729/23Izdbsqud9A4APCyl70MX/7yl/H73//e2g0Pks5cY/yL5U05iKm/T/APFZ/+/xXBtzkuAre6/IrEJ+Weyre6/LEbIrd0eUy4uEaaxSc1WlJVvQNheXqnC89dbZttsnHpyrBVdeOnDZGe71YVJzwjVYikj0jPla1/pNpOrxTdNYg+yZjV90Qq3/GjaXkTdUWoqJcqmuJfw6Z1Ytu3yS9oy34b8d3JixfexXFbD9uzatOAX74mbdo/x6r7bOj7t+Z8U+kiSjdOKbwD68oVn3Vdn5vq46nGL92fV9VVdb7V/xDF6+dfof8W/Y+jI/hsiDj44IPx29/+FldddZV1+8Y3voEddtgBT33qUwEo04Qvf/nLuOOOOxrH+d3vfhfldfnll2P58uX4kz/5k8bpjANZCR4S1UpwhdpmX2X3/w7XU2NJurkQ1be2r+ZWqW/NjDCqFeY4fgNb4IZhqlNNrRJh9FBWRyTDE0ZjT0zi23j77iO1JwasyYLLQ56TLhf5NUQmbK09MQEU1gX7p55s05Q4CjGoPXEd5Lm4fOYeCTI7cDJx/NTdVpV/7ENBkPDaUOTu+dWWqVe5BocjZqI00TmEtV13HShwrz/fdLpUed5hunEtS7Kcill1TqkwKVS1vOq4fozUmYV11hQkutZB74iqs6n2GxYToQQz5n11iL322gtHHXUUDj30ULz5zW/GbbfdhnPPPRcXXnihDXPvvffi2GOPxYUXXoiVK1c2inPBBRfgggsuwAtf+EJssskmuOqqq/Cd73wHn//8561ZRpN0xoFMgodEvGOcT3bqYvaHgERF5KpHmubVtO1awtn8TcudyqfO5CFFGoPX+1H+VemGxK46b0Xn4jUVZA7zY0/s10NoTxyTOJNyTL5JF5YTJh6udgiydr1z0l4hyY13v3NE2SWeqskQqfYnzykVZcBBrueqFHMLn3COMt80cWtengrCl3QR7rXr9Q6LNAEDyPukV3FoQuyqSGpFfKpwr0i3N5mV7iR8KQrTi0Cnyt8E/tVLxUmXmcJ8GxOquL3MRdupusbDpzsBL8FLUp9RpNMHvvrVr+Kf//mfcdlll+FP/uRP8N///d/e+r6bbLIJXv/61+MJT3hC4zh//dd/jT/7sz/DhRdeiFtvvRXPec5zcNppp3lpNElnHJiqzTImCWbB6102eS1a5Ba8jjXV0VZvqIAOFjuln+m/FPvHeaXzTcVycTmh2/WvBKdLHqvP0j2lJsdlijVtdVCtNvZWqSvcmUX+qbSr68M9ANVdo0Qce5i+jvUtqb6e3VddKtV+/bdjE3HMXdeABLheL6v280gG+a5xunXqWuJXTxKcplDyuL8VHgRV1OYNvRXdVFlikuTXU1pt9dNNEcOQzDYrVzUZTZe5moLXkXPfP24Bibhcn2eVTx0iAj1SzG3qXV6Pa1f/41g3y7jzqCNGtlnGNl//57Gcy0JAVoKHhK8Eyw0sQkVvWMRKbfhCvXncsExO5VOT7QkeaUmcQirfdOcqld8KRbaiRGEYPw8VK9Z/Xaiqzr6argehzDjKqbBu4lx4jatyMaFdRVQppNK9PrV6l14+qYE0Rct12xBl8ZVihndalWUI4d8pfWNQFXmMGETlcyEpIt7xUa+23yyndO5pv2FWePAJcIqMxmWqJpIUBOpNwCtKlSxTT4U5UeZ0yXvX1ejU3KozrU6jSVupK8EokK710d3vk6AEj3piXMZgyCR4SBRcoKi8oerJVlrdrAGp0E31u6qceqrBYbqeIlqti5oy+m6S4qSVz/oVLapVSEODjarqd5KSdqfc1TGJdCrTHqk9sS4raSWYhS2vRzJTNsNzsbKEKDcjikvekStL+DAyd/bE9RhYRR4Sw2lT1XEHteutTj0mhrFvNUn1SpaI75e6imwm8rBpObJZTxgryk1+qDCv9OOCTDudtzufdAqpXN25SCJdnX9/aWNgNbdeUx1GcQ1I9YhuxSZ1MSyYx0+CMyYDmQQPjdRrPOeXdmGPYjS5xd0bcEEqGythsYocEijy/kr61URFFr9YEkqyfaPrzmJbZJdfv0Q2tvkNQ/luKXvfkDiaUHNhTxwvCCcJrbrG7sHBtZZE/jJbQ3O150A71UERWReoiqCGOYfhEvbE4qGhGv0OdEOqyENgUDW3cboNliKLc+5RDo8s9kdkVZHS51xPon2/2Oa3zkLWzy9Kucf5xCmH6cn8479N047JM4nvOtKZpt32eERqbqoW01eoOt1KON2j35g9UNW+Rom5SLM/MFNyvfhB0skYHJkED4kWCK2Gr1YksRxs2A6oaTKRqrRjBdnvZ5uqxL38+1WR9V9K+Wu11NLzkNYyqCrfxPn6rql0TZrk+YVU1JFkdiQvKFfV+sQuXTMoBSq4mMA4CStLuECJc/RSqiIG+lwo1syrMT8q8nBI5+oN2lQfNh2/N8FO0TJ3WOVbTdy83CmVQ7/k2RDnMI9epLGC/IzcrjcdlyK/lMBRpZzG8ZJEdWg1t3+t1zszDksc+Pd5Nw1MoCvKUB9mdBidmeIQZcjmEBOBTIKHBDOj6RaMvUjf0GWJ/qaOUj6wJKfiRbn4mypzxXQ9Ct2qSbCaLJZKk+2/+vNpYmoRpwsv7eryxnml46ZMO/xUGGoualWdxOdZ5+cdiSejVF3EJUycd+XTVbq8TSAnBA4Yc6B85xZVj5pk/zrC0bDsJGcRhA9IdTm7h57Qft2WiVIb2YisjR+n3MWbgojqxI91tg2yOw/zwOeSd4+aRCRISUw6wSl36RYTYNY01OWcChOeiSOxsPH9MDKt8FHUj1dzPkl3k6K5jcM8e8dNH1f7+4/KVeVsikFIJQWNMf2YPBd3fl4PIMMgk+Ah8bvZ/0ZBo6rGasLaPIn+yUo9cZO/avw4TikmjYlycR3xk/a+aUKbjic7OU74p8hV9WNDL1SHqhoY6mgIAjWvn8GladiKcJXRh1VNRmHVN37lphmGG1wHvu+blKMy2ab59VOuHmE5Oug7DZ++VvvK3zHpq1O9Sf9vRmR9tZYif68MlVs9V90tdWprEDeK3jtutYpL9mswpXfQvmxuUXJn3EVQ6wSPQgnOfH4oZBI8JNaW94NolEb2VaqdQ9iVcHJA6e/OsINv7eBURXLNYY2i6pHSKqIZEuQUiU7nExdXkt+acodujUW74VSZcPh0X1KJqkmT0n51A6iMm067x+Db92oMwwyAfp1MzvBZj2b3UV38we9h/21KTRsXx+z/qY2bTDs6z9Sd1useT7+N6VUeFb2qjqrcUw+bITUO3YPW14jAUm24NKWsehBOxanwryDAftkS/pX3WaLMjW/GySTAAMATYEOQbYInA5kED4mNF205J0pwFeqfrHvF79WJ9vKtc63y60fhQMXrsfSA4fsl0uZepUrZ9MWlDSeqxLHDVKrL7JWYfPc4RJxCvXsiXoLw9u4y64bCILWaxKriNMuxedyqaMMODcnnuv5iN3StDlVJ8ZIPfYPlmnws5ZRvb2Ooate0oZVNN6js8ChNrROlorR79UyJtItNIWpEYepVKaRzM2Zw9XHr1fGqM+l9pXqlXXXHDD+HpUnu84mSO3h0/W3jLkbGBCCT4CGxqLXRCElwPVIqRfOB3rCC5jOqU+6VZKiSEDac/BKRM/LiV8Ulrk+3ehpJ/NfGZldaeRSmKvNtQjTjFOvD+W5N007VZBCuT3YYxe8Rpnm6rixzoWXUP5DE6E3ahofkloPkUE1tehPn2nQFCa15n1NBZVOlSJfNj8NemnV0tz5umnDbv5RKqWrirPFjpMi09aOUn3RJnVNY5gplXoRP+6by9NNsMs+hN0QMjsuESpdUGpNCfxUmwRwCJYHHsGNcho9MgodEl9eB0RUuTShDn4gUw37T1SSAKXJzv6rItQhHVEEnKmZCR5SxXxKciu/7u8X2w1LLc077+wRY/CXhw1Vx/aPUOcU+HBBvTsYz4VI+KpW4Fv3pSTGcGwftIBUm4UomdnpedfUQV91WWTFBW+7qFKpLVxNhSFoowOHP4Qf0Xin0ozL6qnCdDtk7r14ktupBocHUV6RqLqZtaWqapnQpCqx/URWNTdPvOAVDdKsU7foJtXHJfHqdfqToTWB7zZHgBFlNEfEwXphTPXo/qFSGHxEXjvPsL+FJIMHM4b07eDoZgyOT4CFRoouQ+Kq/hpyMABxTK/ZyqYEIwEHZZCAO3FOzqRVnSdMzpphImzTDmdoyT1meMG0/HgX+rszhbGwXFwAZ4k2it5B0kcRvE49dndhNIERcZnEuPu0UMQOfesTLnslypsitI8yyvqRbjDr/Kgqsh0XFLEDUX5sO14Xuj0D3H6rfoINi1FlUE0ARhnuH6SePVDr9UqSQwFbRt1T+KTqaOr9epNCQ3jiOT4QR+bm/ANStHaVcTZPj8oZnJOPDc6s+37qa1HG91WXCcvTS3f08w3x7tipOl7oZfR79XTPo3VB6wlXGhoxMgofE/D1RpjTGBhTL9e8IJ4KkSVX1y3T3+jqhBHMqxXol2JCqtErcS0V27mkVOzTDgLfgf5iuXFrKTztVB1WmFIBUjmv0aa/UcdlNGA5C+I8GKT3Yz8dHOo4teLJVRPFrxpqmphJTuNvx0EhNXu2fxA4et4qk1BFc6ZqmZtXUUMbx8/HdQkU2VSYG60YUlyVtWuCT2MiP0n6+rp1ScyHi1JHr6jJZd65XklOu1Wmz+S/iVj98VD8OVbvGS1j2CC/8h2m1c4XJUILzxLhJQCbBQ6LkEpiHp0pDUBTX7PcFsdmNTB17aQXhlNKXILnQ7lEk4Sd+u6AxGZWEj1movYKkM3qryNJfUjCpePtpyDL76XKKIAemEFJhTuWr6k+oxHr3N0dNAUdDOTgnFzbUa6vUU+rjd1UYmX5ajY7DhyDvjFLx/PciG/rruzoKUh/HHA9CgXvH7qUtVum9MRns7eunnaKb2s0zSfDPgr2jFJ1lQXgTfiJuyhcV/lVqblyeRL5c7S/zTxPhUAVuRqKtH1f51SGVZu80vOvNfkqTgHICVofImAxkEjwkSl4PRmte8rIEo/bJr0rp6xHHiLxR2jUKNEn3gOSyVJ/ThBHGhbS/t0B8ExU5TNePTyjsUUzAU0pykDPF+Vq/YEJemLNRzVNpm3Ot04LjVIP4UQi/9CFSNR/nXZdCnW96cGua5lyh96Pi5AzLKQpZQWUGTLte/asj2en4IfFLx6zTIx1JNWHj0AyfbEZ0NDlBLaXkhkQ3TjvMN01kZbwyWKItRczj+L4KHNauKC+na6+eKCP5lFkVJ7pmPZ9Q6x926uJMyr0GAMzjN4fgEU2MG8nkug0YmQQPifm8mXp3IpIq9dHpkCCtCVrl/SURxotjiF+gyHKg6AYbQcSEkGyRmqrIhrCGdWByZRTBWaSVZL9U0g9xPHJ+BBJjh0+sq+LLXbL8+pJ7jrGI65fMpByH4OBcTNphHBlTqtVpPZeEr0y3DnK4nG8aLOuwmrZP4OAs/la5D0KD60huKuVqGhz/rlZzRW6UTiFWdP2YKTLplhnz/WItOK0S16Vdn67w49IrfToum/9evp6/jMsI/BL1zi4VH6kHBRknrqEwPkfhm6GaYE8uJoIE+885Q6WTMTgyCR4Sne46EM2PElwJK8xS7Ng4ekBwQ78gTSLf3ZHRMI2ADFbY5ZKcwAZYG2NDrH0i7Pws8eYinS4KkYasI0lWK8oEoybH5xHGlSRcqrXhihyeX1TXZIsSk8bBVeR6nyax69GE4A5Dgvsv0TgxvLpcl0KKBqeITa8UquLXaYip3BkMkE+Dq8qb1onTcaXC6/uF1DRNdOuJLACUXtpe2ZgT+foEllFCmjZE/uyIbFSuCpMGXyWuIKmVKq9OjVNxXUhU+hrC3m/rTZDvKSBlk0CCMyYDmQQPiZK7qLOjnBewVr5qdzGrhiUoRrJxXAy+jiZVWBfWV2xT+Qt3WVUkiWZAKs1fooplzsiZK3ABQuli2TIpd0KBaIUNm3esIPsEmmUNIVyxIlRkIz/yclV+7PJIXofg2KUbq8guXcBMygtVZL8EKVLpq89x7DpItbWu3fV3j8Q1MQUjqwZHf0eXchXNrSeyzdNNx47V3JDY+YS0aeo6brQUWUyAq3NlL/0wdujv/DQJ1rahcRrspeH5aBXYEGlbJktuy4DQ+qVOmUPYPOtIMCPtbtJhcdygFfiktb4F9EyJB407HuQd4zIMMgkeEt1y3Yi3TR4cA6ttkaqbDKAP0xqkR1LJ97dqrSC5Noa0602ZSlh3nzQSGUW08FRkNU67eFYJjmiV7xcT0CKI7/v6xD+VdvqhwJDYahLs3MP1fH0V20/X1kkUNh0fFUf9qq5uVY1htN4o1ZGlNBloTg2qSK7nmqyeFFHsL9cUbQ9pZV2+Uf6evW6F8mnpbEgWYf1icu371ym2KfJoSaokrNZTKL2WtKbyjJVgFV2kLYiWcxNl47jMKg2ZZvBw4BFd4W7jhX69EZ7/oJgeCjwZJLgsCeUI7HlHkcaGjEyCh4R6rTIZN//ApRBEBkDCpEH8FqOwz3UFwWIvNfWQwCTIqtAPrTvgbUwhFGZfKXblqVaRnYJs/UOC6BHoAhSlW4K1wizLbeNHRNecFQV/K4h9FDeRbnAd/Fo3hB9RChE59v6mOsw6DboHyE89YxgMriH3Jqu94tcpgSniBW8ntjheisj6aQyr5tYS6JpVGGwc9k0iPH+WSq8oE6eUXhFX5ltHgiMFGp6/52NJvDgXb8mymBA3BwveOxnj2HxgEkhwxmQgk+AhUZbrAwXTYKF0KL4KnPJP6YrWT6q0FNrXQivBiqj6KrNUc0n4k5e2IrIxSbZuVKgw7J+HIdDEBGdzLPI1/lpx9s82rQKrpOv861Vkl29aRfZrm+xXTJOryGgdVQ3ya9h8h6DPGyR6E9w+KaxX5Wmy2rw8MZHtHaYu32qVeHg11/cPFVNJUnuRXEcsZXkqbH5Nmlza+C66I7g2HidIvefvx/WJsIwJICLIQX0HK1UsDMxNn8JDKN6jKwOGEd69dDIGRybBQ0IpweZGTXXy0w9LjgLF2OdLFMUA4JNMFoqqIbwslFrhbwkyE0DaJIFDP0WAvTC2BIUm1yU4nBzHxm63dCo1xAoJZFaUKEWZyVtDOSTD3vka98Q20/UqsqPBqPCH51qlEg9CSIOyNowem2j4JZobTO+dNaxi2yv1wVTkeoIbhkn5pmOn3HspvSJGgzV1ffIo4wuSG5kXpJRg492EBJda8ZVhdAir9IblDpXgFNFNEeSY+AvmjOAgqu1pRvzIPro+ZTJIcLYJngRkEjwkGOsaNMJR3HDVeVQrsaOBKz35Wdg+vPr8mMwfHV+kpX4VQuENSTIBUun1zBKMykvW36Zp4hoVOLJH9uNSmK8lsoWXZ7hihTPFEPUDZ8bgkX4bslpF9uIm/GSthfVJlWH6QZVGnPKb61bXG4MQvvEhRR7nPp/mMaqIcMo9DGFIWRgirfzGcatJdIrECh+PNPq5s2ea4OUXElmPREul13yL0tm4xma4FJyURRzpJ+swJNd+3fnuIdkdN0ZxxzWJTSPIZxTlyNgQkEnw0JBK8FyBkL5pw86CPfdBcqkHe8WI802U0XOiwMsRQg5IMLFZi7cAa1XXPmxoUsusSSwXVm02cZ1STNbfkTlh7hBNnBMk1ajMIcUkAoS9sL9SA3m74NlYZKoiJMGBfpp8YAiIaOXkxLRKPCzSJh3jQ0y18oA2HBqovSyJXBw3fRWaq8imb4mIrEdwfcU1Jp2JfFMbU7BbGcKSYBYk1qQZKsUc+HubZUiFN7U6hFF3feJdNTmunqRV3YHDPZjW30WD3GOpOJNyr46/HFkJngxkEjw0FlXYBAODE5EqoiFfVadC9HodThU/Q0rVvNzRAFf7ii5WeuKBonQhmey3X0qpxBql2BBhobhaJdgpxeq/7+dMJRRTJY/okkhX/zXr9FrVWPoa0huSetjfJMqRUljTyqvwr+y/ZbqjxLDp1bWNgVPLGCmqa7VKAZYhKu/v4G8ztVj4Js0KQoIbKMEeQY79pcrLFUTWKbYlorJwCaDr2/6KvMMJdT5kv1CIaRbuLZYLJ4+EO4V+Yfr9IWVqEh6G1ynyrmkbdfd9vbY8d3e6upaPzln6GdODTIKHhL+EVvCquq/+KH7NXdnV1awHXKsE1s7kj/NvgujFFYVdoxqsyHZ3spMtdfiuVl0CBK8ipb9SigsQWrA2v1q1ZVLXha3SKybOMVQ8LkHUgrEOluTTKNRm9zTyzlL9kusFRw8fBM+W2PfTqVWsFeyU40GIJwmyPSmofo2esRDgzAiSfgj9ApceCnOVmmvDJ5cpCxVbqSCbuMqkwSm38nxK/9sSOUOOS7DtswL11oaLSTChsAIGwX975R6OE6ZhgHBH7DckCGHdumxSpi5xvPjqeQ++0VO7awPR+BGmM2eT/cb//qhkQjkCFXcUaWzIyCR4SBStpcl1gqubZS+ySZ46EPkBXucZqwRphdFXNBNqQ9QhJ8pMVWUGYrXPuYeDketY1UBUogvmbhyGS+WOEsTdxMDCejDqBqKFM5NgamlzCPGwYv07MHbDuhLgaohEHBJVINXc2KSBCPAn+CVILqWvgR++34eomoemnjCEwv3uH1WDypCq74Kc8Z5C0IYGIjmDt4Bh0ExDrlcE45hCwU0SZUOOjbvsfwxxdUouR37aFCI5+c34pUhuYM8r2yeZPqFl3zS5jsPMMSj0w7d8QwWoft+RY9mv+LtRmv4ovMLV9esop3twiGvbkd30Q2uC8IpOw9aJ3xFXpBWULDmnJOznE/5D9FfMJbrlw33HGyW4JPAI1vgdRRobMjIJHhIFzQywWYagRlFnVqPWyo0lIpIkbVllXEHGPIIcE2BbKk91CMvV3w2nui8zCcV1lOqXIrkFd1Gyeb2o1V9mMHXB3EHJHd3fhltdqgHL5eNqIravc7qD+jarRqhyWJXYnr9aWcLWF6tYbOuqgFGCZZ2wV1cAp+qLw2skIep5HjlfrLT1Ec9n0FGIwcoTHFXkMam0eLBhiUwja5BGTdsZmESPHr3bR028gOhKn2giWUTeOOhz/PCh2hunZUiwVJJ12izy0K7urlUkF9SyZNiEMAS4oJYlwvKh2E3iDR7abXzZB8ck2K8n4S7Jvz3/MK4+bwrOVaYeXkdK1H/qTSCQIN7Ol1L2Xd71Cs+W4RzDc2mKvE5whkImwUOi3VpSQYJTA5n4RaF/8LRPoa+vGDgXP01/0hUScZyKKfMznbAjgL4vNOkju7FEkH4FSWbR+YaKC3MXXcyi5Fl0Ldk1k0pKlNxBt5xFyetRlrMo7cYk/mtJRhckXpkyGMRQHTozoAcbR0jJLatml1cT52Q28DCbbVDgF9RpUs11TzmowtzodoO85vMHqpSOVP07VHKqB7vqfOviVsXqXa7xoErZ7zN+gsjWtxfZP/SZZZReTb6DNNUBFLsk8bVO0j0kuC6gtAcWrrB2u579rk5XbH0cK8Gy7zRqrqx3RXCVMNJGQW1vZZsCbRQ0g1Yxg4JmUIQkGf48hbAP94/kg7frX/2+VoYIzDsScd35yto0BDdl4pEi2IgeSFIqsZ+Pu4Y+qoi99a726wHmEp1QU5ln5HWCJwOZBA8J81SvEJDWQKn1/FLu4WuvxDa48nVYRHRNmHBSlvG36kIR+riJYhDmASa3wM8j5N5fSc4Vwk5ZfpfcQRez6PJ69UFHmz+oQagsZ0Eo0DXmBdwRSxYp8gvdecscFeFVRBhUir7SnS8TaeJc2DiyLlkPSgwOzgjw7YFlus7f5jdfglxARPulG2EacQoVClGS4CTUKM9rOAIbDvADJDF3iMhr/zQ4SUotN64jwC5s8zzTfVGUk93VMVW+uUJaRfTfWjgi5oeQymVM+izhS64sEU6KcyQYZjIuCii11/TTpAlwG0WxSJFcQYILKhQBpkVo0yK0aJHy131t3AfHplbh2Yfna9+uhedslnUjeU6yNvT5UmKHPDDkUnIhYVXKceBOspTCj8J6hrPfTinQXHGvGwzRDDl6qzj/KDEim+B5ux8XJjIJHhIzrY0ECa6GR5NStqT2b7XSqzrcdAfpTCGcHSt5/rJzDYlsYf8RWii89W8JBReQ/4jdNsNK4Si0LqJS8Lco1p9gYGYwOtTBOl6HdbQO63gd1mMWXXQFQV6HWXoE68uHFRku16Mk8xqzgJluZ7puEkqGzYsZahk7VyK1drEyd4DeLMNtguFKbcluauD3VoYIMUynVMXmouEjcA6IQVX8JGmVqXKFPyrVmvB3Mz7aD02rDlutFA1CPpsjvBr+z/BB0A8w0ANKDcJ+orZuEwqz8ZB9QjJiRdw4/9i31q2qTFzTFrV7dTuX9wFX+BnCG+Yh05Vigul/tTkDtSDXOTcEuF0sRqtYhIIWoaAWAEKLWpjBEizBUiymZViMZZjBIrTQcumzyEdcDVlaS3YDVbXUJLeEXvHCO/vS/mPhb/wYhgB3bUxPriCfXNva4ahUXl2rag23pjbkF0Dg7l+GIB0Pgz7wi1gTQIIzJgOZBA8J9cTfmwQDQDTxKiSy4RJfwaBk7cUskYWIT0JN8EmyUX8LG08SZTgSzC1LZ2VJlV+BlibIhYhbMKFFBWxMKrySEWndhICCXKlKMNZjFo/yIjzMM2jRDAqeRQcdMBhddNChQk1gwCxKzKKkrkpZqwrQawdLVTalQ/tgbQJRwii2Tl033atzD1d/cCOT2GGuD7qV7rArlNEawhoSK/udfDUcplGVX1XcVJymfgbVJInqwhGQtKtukF/wODRC1NVlnavxrK/famKfdo9das458eBmrgBT0NbD9BIPg4Tw+pD3Ff9IXG0O/YclOZpYsTuOH1oYvgrcKxfRX5NTf72NekjLAdokokUzKApFlNtoYxEWYwmWYhltjGXYCIuwBC20ejxEuDMowSjZ6L3O19DMkktNYx3tBBgllYIGdzWpleQ1JskudZY5wLVOVvemFR4Su+9BE2jPrIRFM+J4CbzGNsVNr1saJfqdxzN65HWCJwOZBA+JmWIJCpLVGHbyYQOVSm9Acr3vtL8jub7JglR0fX+lMDi1t2XDmPiFILqFSAMwBFYR3TYVaGnl15SqRYSZQn+I0C4U4SUAbQIWtxhLW8CyFmNpi7GoYBQEdJjxxw5hVaeN+9YvxgOzbTw428UjpbLV62Ad1jHA5TrMlgwu16NbPowud3S5zcoRamUJRKtHVA/m1lQCikzbQZzDcAl6mxJIo9/DEMYq8tqv6lx9/unXrACK1HActMNojdJAPaR0m0+Vxcan4HcYl/wYvdMWYQdaaq4X2HGshg8MNmzPBxuTdkoFNSpayi9OIy5PigzKYOlz8eNUEdQgrlfE6jbv+SQvVT/XLyTQ1fnXvvFIQr5t6sCYDxB3YO+LsgQKApUFSm0qwawNqwhY1i7xuDaweZvwJzMtrGi1sZjaikIyYbaE+jChUwIluxrvMqPLQKdU311td8u6rSh/Roc1pRXts9Q0t4sSJSuy7Kis9idNkC0hlTRZE2QKiS4LN6kwi9QjM4sghDSnCK4F23bMXjPw77sebboCpR1Hxgce0RJpmQQPh0yCh4Sx/TKIiav760IQENj0+uYJaXMHo+g6kwaZgyTBbqcz4+sZNHDhxS9ETKn1mvgtkCXAbdIUmBTNbhXAooKwyBDhQiu+BCwixtI2Y3mbsWKGsVEbWFoABTFmGVgzC7TXETrcxqNdwqPUQpeVHkHM6HJblZUZXHZRcgclz+oaEbO3PQLM8AfDgKRpsKG4HHe+knhVq5DsfVWRoQF0whp//2HJO08yf8gL4TzJCxNSWUdwU2TUKV7OBlL4JeMn0pepemVxhDVZrji2l1C1kkZztFIC29e5ST8Iv6B9xMRZuISv8DkVx6lnca4qjlHp/DxYEzI/LRtXMTzfTYNEWfx4IelMk+/GhLPSu9f1G+T6NidMfhx1zmrZRmj1XAkNjMI+mJfcBVEXhZnPQAXaVGJJi7FiBnjsIsJj2wWWFOq+6jCwvgTWl4R1XWC2JHR1dZaa9BqSbIhwqYtUgtEpFQHusjpm0ledHT3tsqS5PsntsjSlYC3O+zoxc6nN0ZyfR5JFiiYEqPTCyboMqXZS7aX4WoXtaZB3BVIkytiwkUnwkFhES1HQTOSetq/zjRCqiK4juzIlsoquobsxddZ+LJVeXyMOlV6TU0GaAJOzHAZgzRjaRJoEG6VXEYwWAe0ClgC3iNCynIZQMrCuBNZ2WlhfMh7Sa8R3SsbabhcPdhhru4xHuIt16GKWVHfawSw61EGXuqrrtNsgt6AG2wIgtXUpoN0qSEk16gbPqocY412tNCavfaR26qOAUNpQ0VrQ2sd7i+DIum0z5B6UfKIo4kUL7+tBwVtdROYp3y7odplYXQTw250rVzXRrX7rEddXilz7riGF7nENB4JPcsPh2YUIXw2Hg3WsYLl4wSx9lnFSaQtaw5JsSDrCYnUA/3W3JNaeImdJuNsGOC53VVyZdsWkKq8GA0JjHzJS6rZMowfBHmbqfPItgrz3/IdGIjWRtlvOgpnRLdfbh8eSFoG6JcrZFh5Ztwj3tRZjo6KNGVJTc2cKwpIWYWmLsLRdYMWM6k8B1Ycakryuq4jybOlIcJfJkuSOJsFSRS7ZKcVdTYrZVrMjySUbKuv8nZGE/itNpgjWx5lMxPeAVJHtZfHasfahlD9EOIngYbNPlJjtHWiOkc0hJgOZBA+JFmZQICTBaXWKvIHbJ8HOx5FZt+uYT5Ct2mtiMmQs+DTW+Qmd2CsLkV7wR5s9WHpNei40EdoEtAoSJFeQYP1daL9C8EOGUjTWl+p4llWaHWY80i3xaElYXzJmmdFBV72yA4sj1p2jJm92VzgGtOLNZKbIBR2iHUgHRMXOfO66GaJJCT/A34DE1jbsMnSRouoIarg0m20z3oL6gX+4FbTxIQCidbgl4US+IPiTKk3aLs94dRDTfqSdelwXcZp+qw5JcFg2/75xfuHfpM8cDBD+gJ2iuiEZQCJsTKUNZZA6nR+PE34+kQ1XB/CINZcIyUpIYs1KAWGp4glOOja7OBH5NuXxwgSkVyxj5tWVnHRlwoQkiSt2ojTpMxDamPYHCpqWfy/GD6EEgNWa52AQd+39PAvGIzyDVjkL7s7iUepgSdFBG6pPXdoibDJDoMUFlgFY3CqwpKXWpykZmGWg3dVzK7qEVuHMJUoGOsoSA61SCRFddlVgSHBHm1SU7F19rRIzSiqEn/9I5pNhd40kAS6taYOJL0gwl2IFiFR7Dq9i/MA3SiI8CbTRSDijSKcfrF+/Hl/4whdw2WWXYfny5Tj66KOx7777Dh3n6quvxre+9S3cfvvtePKTn4xjjz0WT37yk63/vffei9e97nVR2qeccgp22223Ps9idMgkeEgswlK0sEj9UKNjxfAcalsp9Sv4xyk64P+T/v7aD5I8QK/iQFb1lbSkIEWRWqT8jNJr/cgpvC3tD0BPelMmES1tHiFXgTDfXSY1FpWMrvZXygYp5UIMzSW5jTXYZAK9eDy3goXVlRpBVWpPkX4YcUj4JpTW6DqJDTNQR1T1sawRQxp95TX2s4RSTJaUjzJyMX2TbxER1bBd+Y9B8HJ20yYlKTXtMN3uXDsK25zzNRMifR/zl3Sdp+4Z20YJQfwwh9BVHIU8ZgRg8SdBvYCKYVuqb96wL8RPRkgMTFZ1lEAQDm+9bBdOkt+QpLvZ//qxMzCLcORcvvKWvnJSlYhrSbdPwL0yi7V6DbGVpWaxYUW4HrUh2L5irM/cI9GuNkStw7LEsK6DsCaYe2at70/UuTPUdvBaCCBCh9djHT2KFh4F6GF0ALRoRpFWKjBDbSxDG7NoK1MIblmzBkD1w20CuAAKVuQXALoM/aaO0SkI3VK5mTNR5hRkFeKuJMEMR4I1QZaWvaZN2avH0RUUE/PCditIcNDq/KsQPABFPsGDkwxDYdxm6KLhZPYFiEMPPRS33HIL3vOe9+C2227DC1/4QnzjG9/A4YcfPnCcT33qUzj//PPx8pe/HLvuuisuvvhiPP3pT8d//ud/Yo899gAAPPzww/i3f/s3fPGLX8TjH/94m/YTn/jEuT3hHsgkeEi0eZEjwRopIuD/9v8C0HwuRTU8TS7yCyiUp/RaP00yjKmDXKUBII/ompUcjC0lAVbdNUTYEF1DgguRhsvTnpb6sL+eYcmmQ9Z+HHZ1XqXBEkIOa8V8BfVcs+ZyeDX8uI64kreUnSHAgFVVw/WYBTm2ZDY0GxCqKkLFFoRCbLkartJB5Ky2/fWcHQVOr/5BIPYNYkIia0xoUq1Ptq2qdpnSkFUdOiMJIperrHVHdH0/E8f+Di5hilSHAUZNgIGIN8H/yba9R8EIlkS4MOpBzlE5eETDpkFsJ0FJigobjy2hiamIU/Ti5bPEw2eSroiY0TqykgCLNzfW37xC78In0THJ9QmtyFeSZzEhUJJmR5Lh+VslGiHZ1aVgn/BbPxZp6OuTbEeJh2//iphj0vVQostddNDBLGZBmEUBRguEGbTQAdAFodSuEra/JVhzs1K3G2Ioy7CCQHrVx0Ko+SUTCnUa6LJa0cfWsibIBdS2QyWRfdiw/TY5IswEz19Oi4spa+DnXV+vFbj6IgQ+PnEWV89Ls28aPIyZzIgwDnOIH//4x7joootw44034ulPfzoA4KGHHsK73vUuvOIVrwjM85rHOeaYY/Cud73LxjniiCNw++234xOf+AS+853veOn92Z/9GbbffvtBTnVOkEnwkJgRJDjWx2Bd5F+fLPiEWZIOeOEkCTakyE87VHklCTZmDSS+TXuXJNYpwX7cFinF16jGgCPDLXJE2RBoQ2JMp03CXWkjpsxmzYoWWsxo6Q4ZKNFCG4X+EKlvm3FYYwERNsTXkthIbXRKrE+SBeUz9rWefW5AciWhFKYMdqk5L64kovFSdHL6oiGtJm4BQ2TVMnR1Ji9G9Zd1URiV35wfybYI4eeTVfPbGjyIPlK2Q9Oe/DK5ax62ORffucl4CNNLkGQk4iIRpjJACpXktrd7SHwl7/KIATvCK+NKcuwN7Uk/378EBAn2yyIJcimItAlh3KTSJ0mKJUBg3yYUkPqxfu0d0me5/JbOmYSvJd/GbtTFZWEcVQbbGxt/R5RjgqxskUtBloS/nVSbsFVNmWJIf+MevJVShFSQZ2a4FWZcp2jLR47kySN1v7D+kMgBSgMoWE/E09eegC4BhTGJYNhVB1i3jW7J1kzCrhzBhiRDrzhBti3INmmVYNP2JEkGWwHDq0nPzT9PWWMh1XVffjsSXiIVEbNPs5du4w5hYeEHP/gBdtxxR0tmAeDlL385PvOZz+DGG2/EM5/5zIHibL755lG8LbfcEvfee2/kftJJJ6EoCuywww449thjsxI87Wihhbb31B5qcKjwS9PkkOyGfmYzCj8dSVYoJiOCiBgS65ktaPcWDIl1hMV8S5tfn0BDEOhYDXZkVxBgcvkqf7l2hepkvWl81BLEz+3Ol1ZsU35uOTmXr7CdTSiykuRKAu1IsFNkHR1EUq11scUydazCUcJXTl6UOdsaYaP7ijZjzV0QxPQfguykRlMboj2k24bfdmQti3Hd+YlB27QTlS68dKW/LEu//qjwC8MMgiTRFQd1/pzwVwRCWK8HYQwh4UR8R0gEARZhjJ+Mb/M0BEb7l0FcRaB1GDJ5OeJhDBJKrZz6k6oMuS4FCXLkxlFcY03KNn2269d2kyRYuauPnFhl9UUuhV/p58yldY9JsFCYWS4LpirOLtsV2LGCwzMTBNlcUGKYHSyZoE21wv7JnYV/BZ04ID+FSEtNYJYxXKpGECQ4O1EmbRpRqAtLpVaQGQARSqgim0/JbJVF0xZKUqTanbHpyRXJN+7ybR7InaExk5Btw6+B2M/5SwIcE2gbp19ll0dhjTscSvGwMmw6ALBmzRrPffHixVi8eLHnduutt2Kbbbbx3FauXGn9UiR4kDi//e1v8a//+q/48Ic/7LnvvPPO2HvvvfHYxz4W3/nOd/D0pz8dl1xyCZ73vOc1ONO5QSbBQ2IRZtAW5hCSSklQ8NfXJV0Mp6wliK50D9U64VaQn7t9JV1DdOykNptPTICM2usTqIAEy/jCrwW2x6bMbQJmqMAMCrTRQhvAjB5MwSW6aKNFbbS4rXZjQhuO7QgiKyZ0wdaDI7Jmwpir70KTaml6YGvfujm1toLIev7alwlmLWZ/dz1niuITXf/aW5OUwlnnqhKb6yDTcdfPqLTGXdYzCTfzkCMfCyRRldfI+KeurRdXpOFtJh20A4J7APLbrX/s/DlqbyEJtltiJMaS4YeXGJLkyt8mx5DApogsg2KSK/wVkSUvL0N4UiTZ/FYEVyh9GiWTVQRVGPJJsPQzRCbI05gvWT2WBQm2pk2C1gklsGSl2Yb2pMbPWhSLV9taJ7YTZJ2SrGI7ty48ldn4klCR9QYREHGZtbsmxJ66yE59ZvgKtJ0gyFKBZkX6rGmGpqGWUAPyLZH9ZoLc3Khl+1lGm4B2wZYAFwxQQYoIM6Fg/TBC6poUrPr1DmslWLQdqfR2yW8fqv6BUi/JZt4o+O2K9KoSpt3q+tAPdFYJFgqxi89g0oqwaJQRAY5MgEKCHFJk/3efFBhF3zFGj1GbQxhianDKKafg1FNP9dzWr1+PZcuWeW7m9/r165Pp9xtn1apVOOSQQ7DrrrvibW97m3XfcsstcfXVV2PRIsWXjj76aBx88MF4+9vfjquuuqrXac4ZMgkeEuaFvUNIbmPXNAl2JNYQmlApNgTZkFgZ338tHeiiAZl1aq1TfJ1dsEvDpC8JsPXXnp4/RNrCrxAE2PgztPKsy6UoJeshgsF2fzpNVPXyaI70GJvbAnKima0LFCJMS9BMACRWRaYWjCLr6tGQWOXnmyUYJbeFwlN8Xb6tcJtpcY3MDnsp221HcpX9tXzQkUquGSxlG5DXNkmCA5LrXSPhbsIZP0l01evZNAk21zlUe51CHBBk/acI/GICzR5JNn6AIMCBu4RzGnbQ81NKkWBTmtC0wfmTG9iD+IYYO7OGMK4jq56aLML7SrAg0cLPhJN5G7+uJjxJcs1s160Nz89MqlL2/Y6aSIJcMmsFkkWZ2LM3LTW7tuTZasRmJzTjr8OTJMil56s2f+jobdj9TSA8cozSbsUOQ9Spi5ILECl7ZgQ5wxJdW0teC1DXRBFjy4HtnZ76dr/cvci6H2B717Sgj5kBkjtWahQMlIromnwZ+r4wXF20ETBQkjKBKAvWfmQVYECpwMTK/MK+RTB3nibUhfnWPbesFdZuhV7Fx9WQeWDUV4ViAm2IcZVSHNQ4+sPCWyf4jjvuwIoVK+zvUAUGgE033RS33Xab5/bAAw9YvxT6ibN69WoccMAB2GijjXDhhRei3XYUc8mSJVHaBx98MN761rei2+2i1RrPZMVMgofEDLXQFtsmS3Ipf3v+dlD3R+2QwJIJaH/D2WdadxJxDekIlF7h5098c+kaFVFOfIPn11sJbgki5MWFieu/7psxG22gwCICFukOswSjQImSZjCDNtpoo1WobZVNxpasGhIrl/fS5g52C1Ptb0rllNy2+ial6JqU1c55La1P+0qx04jNNtMEu4Oerd/CKbq2TKroZgUOOQnR1ZVPcuV1NmGl/XVUz0FcUyYCew8xMUnmwBzGEUxThpYelB0JduS0sPE50e5Yp8G2HSo/99u2C+IorvcN5ykJsEpTDq/u3E1e/cKn18JdqmQgb+yNSDD7OUu3FJF1RJiEWkdWlS09P/LKol5X629BUuH5uWM/rlH7YpLMlhzrSVscxmVrS9o15dKeJi2z25lvi+rUY5U2C3KtjrtQGzw4JRlIkmStJhtfhlpi0fwzW0Qof2eC0UXHN7VgZ6LB1EHJXZTUtXnCEuRSfysSbSqESZhogKxJBnRfZfoi1a8YQzq1cbIRU2aIVF9YAIv17pqqrpzK2yXYBxLYOlbXr0PqeoRvD+w1lNfBXnt5/d11MP7stR+/bdi2ZwirMaUwtW3bKoODO5FZkV9jjuPfR9ArY7Bt//JOkmQ5psa94YxKxgdZn8OmAwArVqzwSHAKz3rWs3DRRReh0+lYgnrttdeCiLDTTjsNFWfNmjX48z//czAzfvSjH/UsC6BU46IoUBTjeyjJJHhIGEJk4AbgkP5KckCWCPt+TpmtJsGaqFGQpnA3pMjmJghV8rW2IV+QJAheWXqRYENyfYIuSbD/aps1MWtBrz0MZezQIUbBAFNLK6pOcS2oALNZeqywBLjQA0xMgtsoLAlu2Ro2fi1DgoXaS2xIrnJvsfDTf0WJAqteZ3urzsmpuaTrWdpWK7VX1hXBn2TotwdJZM3Diqxn6w+fOJJHntlX8yFJrCakom1IBVgp+j6ZNSp/i2I/tYeWI9nSHMKRYOdXCDLr3mqwjefuF/9By182z7XNOlOJXmD7J3R3pFSFIT8OYqJr/S0hUKQCUnXVfmXwbQKYV9GS7Mr8JAE2RNmUl/Ur764mKyYtU2aPJAXldq/SkXxdbskTO2ImCVKXgW5JmsiKuLrMXbsNsFAFYcg3o4tC67WO7Fjy7QwaPGOJEqXeHa2rN9spPZJsCHBBLXTlAo16qbgCRgnugNCCU5lL3aK7/rW27c/0A/YsABQA28d2Z85k/pnJrqY/sX0A64+6hipH0veNeVtG+nxNni7/UpTE6NZdUUpT4gJK7TXrCpNsVzAqr1KJTR9lryGpa2ZthlncDpr0GpVYqssmbfMh3U5DOqvCU6QS2zubTYz+H3PLCVCCx7E6xBFHHIH3v//9+NKXvoTjjz8e69evxxlnnIEDDjjATm77/e9/j2OPPdau39skztq1ay0B/vGPf4xNNtkkyvvCCy/ELrvsYs02fve73+Fzn/scDj30UNAgnfSIkEnwkJgpCsxQTIL9Y0GIJcGsIMOG0JJIpBkJdsTJs+v0SLBTkinwlys8yLKEam+aBEmCLVZ/sMSMPYLd1urQ4gJYXBAWF8C6omU7VeIWumhjBi2lBGuthC2pVOS3IGUvbNRgVW6p5Bp7YrftrzJZMEpM21FZdgNVy9BganlmC8Z2T5H3AtL+2qm1pDcWcaYrPhmlZF0bgtwWfv41YEtmW0Fc58eebbd/jdzA6gimKRdrtdcnrCbtwviTT2Ttq1vrxx4JJeFPIi5M/oYEGz894Nm2Lty9uBBupjzWX5Df4D5pAo4OAj+GI7Ac+mkVTitoxt/3EzbBQjljJkVuSz1hJiS6hgTrDwypFnGtSUOQrnHvMgUk2Ki4hI5NW5JZcvakcPbFxt+zNw1Isu9nCLo5H59cu3I7da/LZs1bY4rB9gFEuWmCzGLlAkOKudQ6r1qaTNLYUpPjLhs12E2AK7WtsHLvCJptSHJXuWuSXFp6bnJW18Wst0xc6nvBTZTVa+HYf20Q2iDMkPoYFXhxq1QkWFyDDssVHthev5K1SqzDWcovHlA6pg2IaxQ9BJl2CfcgYx+uWFhIs2sfkT05AIBEfPdgI+8V91Co+nxzl9r0LfkV7uKAhalIvyQYPH4SPA484QlPwJe//GUcd9xx+Id/+AfcfffdWLFiBc477zwb5qGHHsK//du/4bjjjmsc533vex+uuOIK7LPPPnj1q19t3bfaait88YtfBAAsX74cBxxwABYtWoSNNtoI11xzDQ488ECcddZZ83T2aWQSPCSMRalFgtTC+y1IEdwfEuF9f0egPT+bj68WhkouPL/QJliQLEGEPSVQkGBHdNkj806hjG1GDTmTRNj4tc0EEE382gR0SE3+YE00nV1toTbLMEoIGVtfs4SaW3JM01wUmFET66BJsvnHhR1+FBl25hAFtN0uWmiTs/q1JFiouMakQT60FAS0NQFuF77pilNxneIrr5X1L+ARWYIjsmrnPtZqr4zLevc+U9/OtMAqvZYES5VYmzkUzs+ZrfgktkUB0TVpF5wgumxJbEEMKtxviLyJoP18QmvjFzoOBSTX/JbuIm3ZCAdSgj1JKvR0KpVHgtn4kTh24ezgXjoyLOMyE7g0RNhXaw3JLaW/IQABOQ5JsHHrev4qbaMaq80UHEk25S1BAZEVCqQlTqR3I/NNLZT6bNReR74MAXLETrymDwk0OZIsTUhKZkeQwYKKaj8qULBdW8L6KRrbQsEdmDkDZmk3RZKVOkxEehktp6uqtX5JX07WqzXoYzibZjvZjYUVPMG+oTJ+5u2WWdFFjSWw9/GM7jcVmSa94ZBq2spIg3SpgC4RUJq+0ZQFYHK7x0HXIzHEKiDxWODiqjByLCLTjglCsDBhfBVZtQFTyoRpkF5ppNTpynhqXWzXhhO3oP/dJwuWa9aPCyVoJOXoN42jjjoKBx54IK655hosX74cu+66q2eOsNVWW+HCCy/E7rvv3jjO61//erzoRS+K8tpoo43s8b777ovrr78eN954Ix588EHssMMO3qYZ40ImwUNihggzhd8IfcUq8NN/vPHec/dJrUzTkLCqWfqGSFVPjPPNIWRcqQR75hA2HkOqvRDxpEIpbYKln/3WnWKHgW4BPNoioQa72cfruYUOtzDDLbS5hVapVoowypkyc2ijoBm0aAbO7tdQ4BZaPKM+2vbO1K7TiY1Nnlmczai5iuAqEqxsfH2iqtVgvVMeiXo0BLddOMIr66NVuG2mfRLs6rBNrNIW18knuU7thbXVZT2rXKi9emQxJLdNpSWyhSGMkuQWyt+SU2gSW/gfp/ZqklwoklsUsGQXxr/QRLbQxyE5Nf6ywUH8LgDST1Yurmi8BXlpuhvG3U8DjzNGfRS/o2+PBLN1s8vaanJlSLHyYwhTUqdslf7HqsSaHHJXq8QlWX9DrMtSm1l0nZqsvJR7t9QEunQk2RLKstCqqyPKRtHsQsXpaBLs25sGCmXpSLBaOgvolkBHk2RjyqGUUkW2OpaA+yqyUZa7zJqcS/UQ2kaWdZmlEmzslBkdLpRZBDtSaGyJOyiUzstda0phV6SgDrqstrRoUduqvSpuByUKS5LVxha2NpTKrimfunqyv3Jvl1pkDa7QAqwYsKhgLC5KLGkRlrQ0CdYPKp2S0KHCKvbGfMSYuqhd6dwDBXRZnBLs1xUg7MRNPFHH8mGlZNUfybhGBVYPYX66tl3Cf3Mg76lwMqi7FRRLNy9SfD9bpT4BrrjHq7gxl+Mnwea+HkU6/eIxj3kM9t9//6TfsmXLcNBBB/UVZ+edd8bOO+/cM99Wq9Uo3HyibxJ8+eWX47zzzsNPf/pT3HnnnQDU0hzPf/7z8cpXvtJukbehwBAiD4lxNya0FPtJ8umlQT7JFd8ynlwGzfIJcRyu0ACRl1R7PSUYigh5tqriPPxX7UIpFnnK1/BWoWSllLaJ1bf56A63TYQ2E1qlWSvYrBChejwyk97MZBNqw6m5zua37Zk8KDJbsDSWMDRYD1mG4BLprUhJE10zmMGqvJLkmjpWSq5Wtgv/Wti4pNXcoC4NyW3rb/lAUkCT3MKZPcjVGApNgJV/6UwaIEkuo12UPgkGtJJbolU4VdcqtoYEtwQJLti1O0N+W5wmui1NcvVSIJ7aS8oPBYHMAhyC6Bq/NNnVlRffLCqubNyA798LLA4SEpQazMMRX7gxa5LKlsh67poBWmJsEpUEuNRk2XgzgbtQn1IdW/LMyq0sFQm2KrIhutpPEeHCKcGGrJakTAtKQtf463y7TOgWyr9TClMMCPJlVGQiyGW0SiZ0SBFdScBUmZUy3NJqbpsc0QWc+tsp1X0mJ3QZ0lWwWgmhU/rkTO2KBrV7GlqaCgolmM2bnS4IJEgwUKIL3cXYXkyFAAilak6sTR+o1HXo1jBWdvAFGGbFGlWRpImzUYmdHbBZ29s9GLftvQxnDmHaO5egslBKMLkHAqmzkn4AMefkyDjrs3Z1VUA9GHRJJWaUXkuSoW4hoyCTbO46VWN/TAR4G2kQItXZ9TqmybNNU56BjGNoc8z1qm2BueLYQG5CkrFhozEJvuKKK/COd7wDv/zlL/GCF7wAhxxyCLbYYgsAwD333IOrrroK+++/P3beeWecccYZeO5znztnhZ4kFIVS9xx80wYkxmCq8FNjdg8lGL7aK/2L4Dskur7dru/nkWBBriR5M+YOKRJsSJt51Q44QixfwxtO02KgWxAWt5QCvKhQM6KNWkRMmGW1hrBRgVuYgVlETWkoM/qzSKnCmhUV2ua3rdeWUGqwWwZNqTF6Lzph8qDKTPp8SBNdQ4LdObU1yVWqbkyCzeBlFF+p5hqzj7YgweoacDAAsrsW9hqUaBdO7ZVqbksruW0dRpotkCbArVapzB6KUpdZjWoeyTVk1rQPo+K2oPxagsgaEtsikPlI1k9Qv1tkw0UE1cSXjN82LvEhSYJthQYkWNwRofsgJDglsbB7iPOIsCGy2o3Nu33fpkFOx9dhRF4lwJ5xpltKzZLirgkjisfKTX0MURZ+hiB39HFXmFqwI8/driLCytQCgFF/NTnulIUKqxmiMqVQBLhjSLSwY5YE2dmy+gS6o4muUYoN2TEqcadEYAcLrU6auKxJuqsPq04TW7VYrnqgJs0RWqynvbHbSrpEgY41wirQ5ZadVKem1zmzKkDZBbP179o+xlFudUJEdk0ZZw1MZlquM39YVJRY3GIsbgNL2npiHMM+hHS4ECtAkK2rLqvzMYq93TEO7oHC2V470mnsjVvM2vQknjSplj+DngAXNVkbRj3zuXzNM6DaZMV/JrTxiay7fyu5OCB/JRWbgflK3NuWinMQT2MChGDvgXLYdDIGR2MSfOSRR+Kkk07Cq171KixfvjwZZu3atfjGN76BI444Ar/73e9GVcaJhtwqwSAUnxJCMeonxfmkF95vf6KVS8/xBm/8hyOy0hwiPfmNI5LsyLGv9BpuYVZ+kCRZLn8lCbD0R0loaxLZKtiqrm1LhMmaIqhlv7SFsH73ZZVgrfIatVeVWQw03NYLnbl1HAqQJcBtTYgdCVZE2JaNzLJxzua3RWp5N6MGF0FdtQtYsitXWzA2vYbktsmYNJiHBenn6gv2QaPU/qXnR5ogG6W3VahjS3K1mttqlWi1GIVWg03DKQoGtRiFJbrCpEGruN7HrTanFNo2QFrGIs+GQ/vb/bbFCes6dY1KyOa2wbtGa0kyAv/UzSBvOgriNUU4i0ce2BGe4zia6BIHJBc+AUZZgiJGoYgsuqULp6OyWMzXqsmGcDM0OQa4o4iwH5dQdgHuKAW57Or40K+jNQEuu6UypyjJ+bEmwF1Guyytkgy4iXZtInRKRod8U4tSk7IWEVrW3hg6LjT5Uq/ZW1opVmRHvZ4vNPkq2EzqcnELhlYmCVSq+8cQqYKVm5Y5QbpPUaRKqbKwk7gYXRitGB6JVf6+EgwALW0YUVi9VZlEKNOFEkq3VSODXS8YYk1zMmZZbplE36yMMVOoT0sTTzJsrwRQFKASeuIYWZXWVC6Z5gHYc3KrR7D9BRglVinqhrFL+93wzrHBbNru46u3Ruk1NeirujJ+KdPUjnLCG4s4MgxEOilwVHqH6O1txgaLxiT417/+dXLxZYnly5fjTW96E17zmtcMW66pQbtQnxDSFjFFdO2x8JBklkwqKaLrhfEJc9XEOLnCQ6jmmln+4YYXKj/n14KzNZX5heYOLu3ATrVwr/DbBHRRYHELWFwUWNQCFpd6AIRSKGZKTVJZ29DxDJhiJbiNRWpXOW33qyaZGGMIZ/lrlWBS9r5t8W1ejxVwtr4zBQQJlkSW7HU3KzmouEYJVqqOModw9SEHuHACG5FTgWeK0taZqWtpzuBIMLvrZ0muIMGm7Rilt81oaZJbSJOGFkBtoGgboivarlFy2+qDlnYzjceS38IdS6W2ICWZF4IImwZt3QpHlO2NIElw4Rq2vV8qSDDE8bBKcEpGchKqJQ1JosuG5AbEuSwtCWaPMSjyS90yIMEqDJUMLkugyypMSJK1zMedUhNltiyIS6DVZfCsUYo1kQZr0wpG2WGlFHcVYTYkmEtC16jE3cLaHoMdCVYkWSvFwmZYkWCtYGq7Y6n2GoV4tnCT8gzpUUowYZa03XCp7UvhCHSnhDK3IIi42n6VGK0KUwpDvouyQIcZLXaT2pyWq8kjGwrMKMlMQWKrVCpCWcKYfxg92bi5vkFt/W5XCib3FkrtnFliUcFY1GIsbpf2Y5dIK0t0ygKzJaNVstrkQrFFdKHUevWwUegHBtU2lFqvlOOCxSRD01wFyVb9KlCSewNRknqosBPqxO3BOm6pw3mKLjt/+Q1DsK27fngwZSJxC9r0yH8mDcP4N62Pivu+TDvPK9RYNzwZryP7Gb3RmAT3IsCDhp12GOUwRKpZVhHX0F+qxNZfkN/eE+McyYWII4muI9duNzezTrC/soDxcyqFT7odAU6tPGDcPOIGRaTaZQk3wUxMFoNqmGYpsoLkznFsSbDcvrjw1F7nLzYwFn6aKJNZl1ORYFOPiiTDKtPWHELXkSHAM4bfiTpuaVu+GWHTR6KejdI7E5JgOAV4pii1OYSeYEOGBJeWBBuTB6MEeyRYmz2oa+xMGYo2a6IrTB5IkV5qQxNdaCIL16BaBNKMn8wJmwZqCbD4eI3HENyQBAuCa/1NXNOYDfkNSLANI4gyyHvV6hPgQQaJ3gSYbBjhboivIbvO+Nb5l8qWgcrQTxNgS4RLV5SyBBmV2PixK4teKgHUUaTWS7vL4A7AbYA7rFRjIcmWXaCYZZQtUkqyluZUkQhFt0Crw+gWLEwp9GSqskC3a5bW40gJLkqGmXYqSXAJUnFYqZpFIdYZ1sSOwOotQMmgghyxI6AodfvSii+xqApoP8PyVBBFT0nFYTjiZpqLuhNLMBeWyqrHaq0EG5JLXZRoQS3QZibcGiqmVWCziyWbe5Sse6GXVrT9EOSKMbofKEq07RJpgFn+0TTJEoWqD1LlooKAsgAXJVAajVrVsVkfWMXV58BujAFYr3DEyl986RO3RCul2oo7JiCv0DUq8je3ivVPq8QyPUm8ZR2wLGefRLAYpEsYMcY5MS7DYajVIe655x6sWrUqct9xxx2HSXaqYIhbCLJ/Ajf4ZFeGc+TR/21+VJJgSYDhv3U2X8Yt3LTCpGsU3SJI36nEckKWy9efsJUmwW2zMoGxVQWjw4QZLrCoRVhUFFjUYsx0zRqXajBtg9BivQ0x6R3aCCBvRze32mahu3JvlWAyk98KW9+K3JK1+21HJFiZOsyQM3kw18TY+s4UsK8rzfV3E9+M2ivqi9SDhCO6rr4AfW00uZ3Rtr3GpMEjwS09OBalVXOJFMlttUql9ra1nyl3oVVeo/a2fdtd0idFM4VWe40fWSUY7UIRYavYmspy5JfahsiKCimcvyW1HslVfhyRYEGSifx0zYUiTZClImwC2BtJkmH0hic5JUYXM3IxCyU3JMGlR3a9eNYUQhBZG9cQ4K4j0dqPSrZ+bIiwletYpdcptZqsVWPLKBnoMKhTgmdLuXwAuGRQR5HjogOlFot36WUJcKeLbofQ6pRqhQrjx4Syq1TgdrdQinFZaO7tVpuY1Spxl7UpBSsS3CFlC9zSKx7IlSfMihOtkjFLhHZpNnvQ5JugCDYBRbB6hFE7TT9UmMuiCVcBWHMJ5U9CCdZkk32DCABatVPLqLW0fbCmuLArQugt10vWG8C7p8mEGYQwh9BNvN1idY+3u5hpu3WCC9aTVbuGWLJVggtWyzoSAHCBQi/lZs6g0CowlbYkKHW/U7IZh9h+mzV7mYVSDL1hNAmbYRJKMARBJvdAYogwCT97Owh/1n9iEhxPirO3jE40xQF78cJJIMEZk4GBSPCVV16Jo446CrfcckvSnzegR5PQ5FDeW9F9JsinnNgWjd0m3SAtSYA980kRPjJ3EH6W5EoSbOMEW+eaAYBkmm45LhfXTdKqVoJLvRqCWYILQCmX+2L71rzFALEuBwAzi9oNHVpVYaPuyp2XCkuC3atHsXsbjF2vWwbNKcGqtqzphymP4YSifpUoypYQy4ePlpz8JtReICTIrCcT+pPXZkgrveahQUmOqn5bggS3nF0vkTB3aGvFV1ck6UZDhgTPaLtdvWuoM3coAEuCndpL5sIY+VuTYLIVot3aLUd0pYlCqwBaws+sLakbFhfaPzR5MATXmkMIEmzjFy4dSzbMlyTG4rsn5KgajrCOaZEgwy6cI7mWDEckWBFVNgSZWdlzWvU4TYItQe4U2hxC+BvzipaO21UrCHissFW6m6pbOhm0JFCLwS2AC1Z7CHRhCT4pYVHZ1Ras7IolCS5MO1O6Y0FsleCCSJXD9Afa3EmRJ922WBnuUqnUYmNXWug+ggu13BtptRcQu6GRPkVDrPTH9C8lEbiAW2VDNI2SFDE0r+JJq50qb93bsFk4UVGxAqQVbNfzlJZW6xUgdO8n/0G62Gbp5ie4t3H6uzATWVXfyExK5WU9iY+hYrIjgtA2wqXuL0jUh6kb07+bejBqMCyFV9/K7EGbe9gwJiH2Jr/JW0OSXyJbLBSBH0J/c3uIrJzKrAKq6yOuYRAnZBzEsZvnX+M3X8gT4yYDA5HgY489Fvvttx8uuOACbLrppiMu0nRBvuEFfGJqNYTA3xuXgziSP8imLd0KEUamaQkrhFhn3K2imyLBvt2vPz/JN3WQa/1ahZLkigZujUxD7MyKBS09IcvEbTMw0yrQbjnltE2wU0vaBaFdmslxapvkQisX6tgZO0ijB29bUkOGyQ1Jkvy63dvIXk9Dbo3trxBGnV/hvlu6os3kthlt7mDqoxDXwCi9M2SWKwOM2tuiUqnALWf3a22CjblDW/kXxuQBUEpvS5k6FDOKBFMblqhSAaX0tgk0o78L0ThaBWjG2HgU2ibYNDZBctsFqN3yleBCEGBDdiUJ1e7cKqBm3gVxrTlEKybBmhgzBSTY3gzCXCKlBFsiPMAgwYI+cOBuVWAW4Zyfkk8VSaUUCZYfM0FL2wRbEtwt1W5jkiAblVj7OzlNxaWO8mOzZhjYkmDqKAKNGa0YW5LLykSiU4LapbYbZkV+NI+nDlDOAlQwuGWUYqVOdruqw6GO6guUuYQ2eSiVOQR19eXsGoJs1qUtlKmDeXg1dr1G+SwUiaZCFdmYBig7VcPfFAVycRXnh3kG0GYTdltgxahQFnqDDZ2Y3Cqa9cTc0pZMtSVF2OwGxyjsKsFyATb16F3CbOWuUBhTCGOmRe7h3C6rWACtNqPdLtGeKdGe6TpzCDv7zY0BqkkpImUfSkvVP5q1nrXFhPoUsGqweXhQpifmDI2Fsz9xzviZvN2UQkfmCSJdd+eYItnf4a1kyTHFai97ceLl0Dj6K2DSq2DCqbe38w25mvSw6WQMjoFI8G9+8xtcfvnl2HjjjUddnqmDJJMh8Q1JLIR7SICle4oI9/Qz5DcIE/pTEAZwJhB23VkySjLb8O4jzCk0wQtXgHBLrIkJccYmWL/iZyahIAu1WZfZnYvRV4w5g/w2O8k5CozYV5+Pr8SYBwXFuyhW0s0H/kODUcLVebuHBsApwXKHNbcMmq+Wt0JzCONWSH+9lBmxndzWMt/GrldXliXBbYBmFKc0hTarOmBGk2Bhw+GZOxgiLE0eisKRX02EPTXXmkO0BAkWFVIUYONXaQ7RQqT2klaJrUlEUxIswoyEBCeOw0/k55RgNiOxYWRl6ZRcqSSXrNTablfXRdcj2lQyUHRFwwxIcNG150rUdfbIzOCCbf1YwZz15KdSv2Y3ZAulkOZgGVLBbo1fpeIxTFBL0otCJ63ubxOuZch8UehkNckuS5RUqIlYZMgMwazToPirsrplcW0NEWuR3s5XX96QgHV1VZklvpgUeTYkWq/foEi5rhN3rysTg0KQL9f7iF3fqNBE0VBm/dFvq9x0PeGuP3KLe9PPmD6yaOn73NhZg+1ybi0m1bZAdjc5LlU9qr7HVAh7dVOwetNl60n76/Uy9EoORtd2JLbQTaEQadnbglQocWjJMFyzs/XuKbTk4sRSrnMj2zb9/IkcAfTucHZlh21XQfIDdAkZCxMDkeCnPe1puOWWW7DLLruMuDjTB9OZAdWkV/6234JYIeFGiXi9lGBp6hCquZL0uclY6o8hsqFdsPIOleCABHt+ztzB+CtTCK1sGqWYVI/YbpGeBMJ27dy2flPbLd1kkcKquNocwlFaTwN26wSbLUl9+zs7uAEw6wHLTUBMvZlNMKRJhKlvs62pcncEHjCquFseTdpQm+2D20FdtTQBKURduRUeSpd2i5X621ZqcCFXeNBCqjJ5YLvagyXB2oZDTXxTEjZ5J6zteWdaEQmmwphCaBLcEoqtUWutOUTLEVmCem3aEipxZA7hlGAuRFx7M4gwteYQ6puln0zDjMxNISWk0LTLmjCEJFgQUqEEW3fAqr9q8pK2C5ZKsSaSluyK+FyWQGGuGykSbM0hSn1Nuu6alo4kU7d0dcNQ9VHqeemleQmuy0CFJthkmJM9dbsMWcl6IpqpV7OagLMZZhCodBSQmdTSYqWxPmWgKLT9vybqRvgWRZUmD4YXqW9FXNUDqX6Vb5ZB08Vukbb6IEekmAisV1cwb8Dsc4puNy2jBJPuU6x9sDII8020Sn2bFVpDlY/gTif17IFJ2gNrm+CC1KVvKTW41S7RmtH9Kbs3N1bZpUJZ28BfE9hUUFc/8ejuRdF0cvM5SscSNcGWiquzwzV9pq4gWwboa2LYr1zSzN4m4oLJssnra6+z+C3ju2vjwpKIlzR78G538uJY1wlgwXKBl2HTWajodru49dZb+47Xbrex7bbbNgvbd+oAPvWpT+G1r30tTjzxRGy33XZRg9p1110HSXYqYRTLCIlx15HSmOxK/yRxpiAu+f4yTfmK3fMP8g3LIxVfFcYtz+UrpGKJNKMkG/JLys0QOz+uUoQJRhTk4CMJpTkPM2FNvnhTZ1X1z7PMI0Oi5W8/bc9O2oQnv15kvXuKuyyzrTPWDx5s60f6e/Vo65JF2eTObTpNgtixDXp3NlXPRhSVH5D5Jk2e3Ila9dedsPgoUurZ/MqPt5QZBZPeCmX2YJVg464JbqslGh65OIVRkAMSXKkEk6j8QpGXUPGV5NfKn03A4osDZ0d0Wdv7kiTJhhQThOwliDCJDwRJgFnNQaTBgDai9Ygys1riTp2j+db5F6yM6j0mIo5LzQw5qA974xNQCFMI1sctdsabsrMrTTtUJI61ZGhOm20foL6ZFHE1tKS09wej0LamZsWDQp8eGSJHsN9gUxRl8675s2VE9o0Pu9MyRKpkv7mr9N2DO9u8TG/itEY3ecy5mL8sfkPHV8xb+aoyKTfbDMx5Qt7Duj5bsPd6oVV9oxBzyQCVyl4aDJSF8mPXlypTCEfylWrtzEbsrWRItb60ZgUNSS7NAwiBfRtheV1gbKbh2qTwh8jTxDVNrxThIeKb68EyvyAYi/SrkLrzk2P2PCPbBPfGfffdhx122KHveFtssQXuvvvuRmEHIsEPPPAAbr75Zrzyla9M+m9IE+PkoBY2xeRvgtcJUg9/mU5IgEMl2CO6Im3ywrD3W/n7ZCsVzrzON6YAPkGWr/qNemkmu7FVNVut0r7i55LQapFWPdmfhAY3SPlKsDSHCI+l7gJxbEg0Yj8zCEZxKuo0uG6ybsz1KSriIgjv6lyGDfWQPhA2Eq8g6kPyd8bcwRBXae4g3YSpAjEnwm8YkP2dgp7IKUiTIWlVCYTPASo9rZ7KNAJS5t/PZB9mXD/A4tgkLfsUZ5ZlrF5tH1RDSkx8aQLh1GD94qTNyrZ/kdssAx1lDsGm/QAwVibGcleRKj2ZtiyV6m1VW7bmJU5BVZXBMEvasTtfr74Ysm8M69+6B9ejFP7SDyJ9z10mzkG4Kn/h3tedk/vAqcCWW26J2dnZvuP1o/QPRILf85734Pjjj8fb3va2DX5iXIpTVP6W5IkS92GNf0xcY38H9sMFREwOPJEfYAmu9Q+JoKcEq0HHm90s7Fztp3DfVk0lX122cY1aAzGwJP6FlUeiZsIBDMkY8PxtvchzDSKQ6OXD62GDVdWpNEMJ/SvSci6p937w3w/Wfaf6hNR7QuuuJZiepKzGX5oKmN+G5IT5JstiyhD6iVHRpBk423OwEfsllxwcynPpdc6G+IYkWKQlCbAXFn6cXuUOvaM47Bd5CI7dOyoNnIVTDJ2m6nKtH9A8FRd+H2qjh4QrkYbX1AkAa7MNyFvI/+v0YfdbJoEgji0XnImEFR8ISg1uQc8BUP1GwUrVpZJBXT0/QJuN6WKCZF+r2SuzMl8pdR4F67yEGQuxIPxGEGC9SoSur2SdBlfG1J+9FdmPY37LyyHrPtVoUpxZXBrvWvZuJT76CTtXyBPjmqHdHmol397pDxLp/vvvx4c+9KE8MQ5pfkHwHVOkJ5VOmGaKWKWUXs8/8EsRsrr8w7ydIpL4aGJX6E5YqsUAIvJr1ra1JFj/lts1W9MB1p0ymaElbfRQRYkBn3cwy6V9nPrhPqw5F3n2aOHrODNxx0zIcRqQGjzMDk1mfU0zABl1SJl6kv5I2qAUpEL7FSWhLMjOUSqglnWirqsTO1FJp1OQLitpm01jFmH4FDGI1EtoY0qhZ8aoEtgRrHQmBvp9KrmKhF3Pl0itn2V3SWO1JJY1hyBly1q29Kt4Y9agW5qWv6jsQo/4avA2DbeROQSB5FrBtkH7YfshZoofJIikce81MU7aBMsHgXCN4JRNcLT6g/uQcZf+gL9yRKerllKQ6wSbNYSNX7cr1ETWm2kw0NHfZikFfRrc0Ztt6K2ZzYKwXELvMKd2mSu7pMLY1SHUDnNlSaLNq+sif6t7Rn2b54IS7v4RyxabmtSn5laEiJ4nEHyLah7iOQBA0B+xbn9cOjdSk3WBAkSmh9D9lSa+4cRbr5kX0FuRq2OU+h7vKhOJ0phJQNyODHgy7LAnOW7oczBdhTw9LwwcwQ4x6VWQbYL7w/33349zzjkH7373u1GYuSUad911F0488UR8/etf7zvdgUxjnv70p+Omm24aJOqCQ0wMYe/IFEEG/LE6lV7IiCOziIr0FDnyVdwmeUb5p+LroceqmR4Jl27OJlbax6oVDqB3KmNr++apIAki77+Giyl6FVj8tW4Mz1UNjuzFkcv/yEHU+af5kNil1g7qbAZwTXhNuFKkr9z1LHdNClgfy3iswzGrdVO5JPHR/qUmNZq8oITbHayE2063dN/ex+5WJo/FpwxIWPK46xE5qvQTn04X6HT07w6o21WfTkf7KXf10WE7+reN23Hu1r9r3W2aPT8irk2r69Lyyu7n4ZUx8TF51NaDDC/LberBhknVf+qalW5zja4mxPr62zbQTbUF3W70Fsus2xK8toegLbp2K3+Xtu3KNg/R1oUbyLVzQYohCa+8s4PfupcSRLni3o16hyZIvVkiTc4iA6zEI3rCNMuKGuQe+s3zXmDnT2pJC9Ffinkfol8OyyyqClV9ZqouBqujQSPFCIZB7zmXQnfEZ9ZwyMuYEszMzOBTn/oU9t9/f9x5553W/fzzz8fOO++MNWvWDJTuQErwgQceiCOOOALvf//7sf3220f2F3vvvfdAhZlGRB2FeRgf8A40aoa9g0XidoecMG0d3s5+lu+rIP0EuZPqJrkZwaXOiLSaaF74qZnSarAiIy3avESeIXTv5FRjrQSXvgmEnBwHQC9k74Yz90/N0OHgX2nJv5nZbAZNHYJc5bE+D2UnR9GTdBfq1WGXYCfHyyBabLV14wZWlYfaBpbUvCYy6raZxKKWUlLV7G+WUdqyA20uUZbkBrdCLTVlCEZZys0yoNZgLTVh6bJ9pQqQ2ia5BdAMg7qkJjq1YBVXapV2jWC1BBqpyXOAKny7C263gFnlT8GGF94awYl1gim5WQbU+r/elslylNMqb5Vf8GFvdCS/DNGTJdJuFuHTDyf97AoR1sswuXAJtNCPY3+rEgtSa40+xUOKIcH+05HagKNb+kqvlVUZ6JTgThfQO8bZ5dcM0e0weLZUSrB+omOGUnY7hHJWf3fgVnEolQrc7Rbodgp0O5r8inWCu6XaLa7TLdAtC6EEAx0u0CkJs6XZUc6tE1wC6JRq1zj1jSCuclM7zUHEhd0xLvyYuIbzO0LNHrm2fXB1r1aD8NFdTTcjvVWyWivYbdXutks2y2UTijahmCEUM1D3YVf3N3o78+TY4qni5F1662aaGfy69FR5/dvWBQdqPIsHCVln4S0T1WX/sPFFumFyAyY9EcjmEP1hk002wfXXX4+/+qu/ws4774wzzzwT//Ef/4F/+qd/wkc+8hG8613vGijdgUjwqaeeCgB43etel/Sfholx69atw49+9CPcc8892GmnnfDc5z53oHTkjQqIYVUTzabNk1E7JNs3XPZbpG86GklyvcSEn4kh03KdmCbDBNWp6klw1p9ceVzBfAKcuvIxZ2GtehiV2Nd4I0XDvYsXubjfLL4dLWVrE+dfI3XmbsCAM30VDwtOmVJlMaYLJaC3DtUmD7Ki9QSSkoAum6XktD2fORXoLUz1xB1zHQhkCbJVNYLVI1T80sYwiVJhE7co7DtCBpcEYtYpawZQks1D+Zt2xcqMQZBgMlJdu6WURWEOoQbpQu9IJgkrLAlGqxusE6zjGpMHs21yggTbd8RF4Bc0LArZQRhGQhLgiAzL0dyM+GJkh2g45lhcf7tTnN01jv00Nfklu+Nb4GdMG0J/u2NcN/CHVnaNv4hvGn6pyW2nq80dTNl08bQZhPno1xeKOHWBssMoOwSe1SYPxhyCtalDh9DtkjJ/6Aoiy4oE248xh9DESm2rrNzNRxIv6W4VZThS5ghd+CYmUJfNfQ41NkXkTfwWrSCBXqRYKMVk7nESPupvodurv0oFrAWQU35JbVACgLpwnWOyZCoXuVSZfwyhxpMbM0B+vYnfxs3VEVXWkxtD/N/VddkDwW2VSoMTYTMWNh7/+Mfjhz/8Id7whjfgmGOOwdKlS3HZZZcNtSLZQCT4kUceGTjDScC9996LfffdFwDwrGc9C+95z3tw2GGH4ctf/vLQaRtSowgFYtXWBALiDk26p8Io7uItMG7JlReH7LI1kR8ABon+1HTsjpK5VR/JK4axPXXEDQCztmOFXn5IdLBWqdSTOdpqhQgipVi2uFAzoVtudQinBIul1yqqinXp/X9QS/VYksroshsSbFWUepBhAKVeYJ61CWwJW8lcKD5h4trF5kkt8VTKMkNtAFJqIlyaZYk0CWsRo0uqPG2mYNtktTZxmxntktAuCrdZBlQ9tIoSnbJEu6tW1HCmJGb5pFKtMap3kzNCqNlMg8xmGm29vJppGy1Sbu0SaEHvGKdOmApSy56ZNYbllsoERZbthhmCrJqTKgpQlZ+1+zW71BXwGrQhwiEJ1v5s/cVHIiTNKb/IX47kwUgsj+XHNEj9gEGC7PrSGPsqsCGqJk1JgLsMMf3fkVxp2uCpyKx2itN+HCjB0uaXu8KPoYkulN1vh3RcZ3pTdhXRLTsFSm3zC8Da+3a6hVKDtQ2wUx1JqcBaETZk1hCyjvmUhVZ0nYLZtX7ArD52nF+pv3qjO6sGyyrusBK9FednR+agqq5TsvJj1nFZk291f5r1i0t9DEC/qfH7mpiBmfkKLRCV5p0PCmqhRS20qUC7ICwqCIsLwgwI7RawuEWYaRNa+kNmY5tCE+CyAM+qhci6XKBbOvvrbqnU+E5XKeqzpfaHqk9Tx6oeVV3bpgNTlzodOJWYXdNS1w7uYcM2WTiTF1PHtrmLMCmlGIn07C0m4ofE2wSoJcbydyLgJOh02Sa4f5RliY9//OP42te+hqOPPhqXXHIJ3va2t+HrX/86nvzkJw+U5kAkeMmSJZV+P//5zyd+neD3vve9mJmZwRVXXIGlS5fi2muvxXOe8xwccsghOPjgg0eWj7kBpTrg8Vz2x99kWw7JsI5Tp/Y6Px1AK6KlSMstPaRooeImejY0m5nBbHVHOdHLxDITvkqjGmnVkxHkr+3ZikKtcWpMH0jvelakFGGqFD0SlWPIsKHwRrVQg5iajGbW6tTnRe7VqFGPdU2482M3oU0SaCo1XytJEUxWZS9N/JIVeQSjBbJLNFk1XU92UaYSZOuyJGXmYRRcZYKifhfETu1iZw7hkWAmMJfgEnZnPmgOyS293mgXoA68NYZRaGLcJrWznNltDorkKnJcAO1SEWa9qLIloS3SRJfcpDnoi9gqLFFWpg2mAcKRYI8gC+JaRXJ1XGpKgkVT9H5Q5CGalrwbg5FbyoshabZmBiFJFu5WLQ4JsrbXDZVeE0/YanskV9gAKCKsSbApWxfgriDAxrZXP1U7EqwmuHFpn/RUMbqFNntQai+XplgJc4fSEFlFeDs2jFN0AUNklf9saUiuUxq7AQHulG4NWlMVxhzCzOUzVW3MH0pBck1cVZV6Yqv49kiZJb+mX3FmSn7/moZvC0zWRZk/FHY79nZBaMNYIalt4u3cUTtrTl0H01aNzbR5AGFNULuGxJZOYZcPFO7jTCCAmMT6ZiKC6MJX3E2zNXbdkrDKJi2/JVkLyWmo9sr69iPF4VKI0k/5jxl5neD+8Mgjj+CAAw7AzTffjAsuuAAHHnggHnjgAbzhDW/ALrvsgs997nP4q7/6q77THYgEf/e7302633///Xj3u9+NVatWDZLsvKAsS5x//vn44Ac/iKVLlwIAdtllF+y5557453/+575JsBznANQzt5DQSjcZX3cI3hjOjjcYIiwJtuDIMH208zP73rPtjCTJVMopUJLZSQl63Ux13IVWfbSS6TafUNv4lmbQA6FLZHeNa+lpze12CVpCaC0BZmY0GS4ZM48yZsBodYDWeuiVInSZGGIISdWrsQUu0aUS4K6tSvva3/aaYi0JBkpSgzsXmouQz81aBL3oAaHLantWy9kAdAqgzXpzNRZEFkrtbZMamOW6xyquUn9n2ewcZ1Rksf10wUotCuyFFdcs0e6y2n1PrMJhbK1bBdt1lwuhIpsHkKJVoqW3Y7XL4BH0tsp6SaaWmbBoKlM/rGglmTRBJlkhBdmtmO1OdDD+zo+lEgw42+PwnbC53p5JBMWNIVSVvXZCrpwI/SRSjv6IHJl3ee/Qg5G2kgTDJ8GBP5sb09j+CjbCgGV+ZjUH+f7fxFUkF9rmF85f3R76YxREACjsxLayKz4lYG1MLbFSaq9UehUBU6pjp3Q2v470GLVXh2FHkA05M/a+VgnWddUF0C0Js+yUXkWiyD0PsDVxtkowYJ4V2CrFKi7by+D82SnBOuMSjA6X6oMSXY8El+iiVCoxQtMIt2pNgRZaaEOZiql9pxdRG0tbM1jRbmGzmQJ/0iZs0mIs0jtmbryE8dh2ieXEWNxlFOtLNWehYJRdoLOuwPpHCzz6aAvrH21hdl0L3a6ox26B9WUL67tKCZaKu1F63cOEUNW9+nRkGJCqvDQ9cW8HJbmVaq93K5hmn7hVZBrhrWTTqHD3jhOMNnTq9Ttj8rF69WpstNFGuP7667HFFlsAADbbbDNccMEF+NKXvoQPf/jD80eCjzrqqMjtoYceAgC84Q1vGCTJecMdd9yBtWvX4mlPe5rn/rSnPQ0///nPK+OtW7cO69ats7/NTERBtYyAB91Xe8QUIoxREqjGL4poA2jS5vidDV4Cdo92s987oDkC6wMGzKQ3W2abtspAFYGi8zO/7W69pAZYKgpQqZYIAqk97NWrcqgF3onALQBtgBbBvuKjLhSxEitgGXXZcRt/lrWce23OB2AwMVjZMaiOGWYXKvc6038w0LzC1p1RbHVYU4mlso02dViQtokUaq7kYtamrlQPFKUhYqzqoiy0uqYfFsykOcUlGW3WJhNFvClJixQp75ZkSbDjinpTkm6ht1suLC80O/W1WgXKokTRMgSZAdKqsd6hqmiRU4kBTYIlSXYVqfyhTCgKpSKzIMFKZSZwSxNhuy2fOmcq4NRko3wJwpokyJKz2t8Jd/1tRZKUSUQlgtE86c627XlhUoaoJor0k+9CLZllb6UGS2ShWASbVRuMtCkJdNcnu2bymiPBTuU1WxuruFpV9JReR0adXa/7tuYQEHa9nppLmsiSdTckNySyzg8xCdZqcEcQNFNdXYbwi61DjOmzVYKFX2nJL1uCrC6VMYPQpg/sJt26y+QMIWw/ZHzJbN1egKH2LTcbFbephUXUwpKiwEYtwvIZYEULWKJfhCxtM5YVwCJW5vWYVQ/iTFAkeD0wO0uYnS2wbraF2Y4hwWQfJtZrUwifBDslOKpnUx/iepTsFHdJcrs6XIroSjOJ1DNhSJClnzxOEdXQfMLzD/JKocp9EhCOrcOksyFg8803x0UXXZT0O/bYY/EXf/EXA6U7EAn+4x//GLk9+OCDeOc734mNNtpooILMF9auXQsA0SYfj3nMY2qX2DjttNPwwQ9+MHKvbMgpR0r4VwhRte4MO7i7NWDhEeRSpO1MH0yWjuLa1/T2XMhugGHiFkROJQY5BVIrxetLRrtw6qW1g5sF2utLtB9ehPaDJdptRdSIVGf7aKfAQ+tbWLOuhT+ua+Oh2RZmu6pD7pQttMpFWMYtPJaWYBF18Ziiq+17zWCpiJEalB3FVcRQlxVyRWEAWrVtkZmY4tbthEjBmAV3zaXSdVgQW3vfshDcTSWNFgEd0va9gr8BamJaq4SeEc62DCbfllaH1TdbFRkwJFgryIU6dvnKHfvYEWRJgg1Jtusysy0z6TTttszaPMX6Wz/oJe5MxmwfYOx2zqKxKRLslsODVJg1e7fmGIV3CZ2fJtJO1fXje4Tcu2dE5aXuJYoOBCpG3mD05zCMHM0NqfXiwC1hxxDv6HWwMvDnwI+1iqtfg9tiattdtWqI9DcPZLq9dskpudYsQftpgmvW9DXploC15+2WjuRKtdcQLLvEHxz5seRL25t6KjIc0TU2p5LIWltVhkdkDTGzBLiUzwTsKcVy9Tfl60wbjPmXMpMy02pJU1dC1+zEJi6iendVevbBtiWxavuF7ldh3rYAWFQQllELm6CNRdxG2W3hUbTQLZWZxHpuo1MSHl3Xwtq1i7FspotF+mGVGejqVTg6nQIdrdhL22uvnj0iS2YBEKf0ShJsrkWFza+pa0OUE006aQ6BhLu8X4JbqW9w8B0eTwOMydAo0lnoWLduHRYvXlzp3+12B56rNrKtODbddFN84hOfwDOe8QycccYZo0p25DAmEIYMG6xZswbLli2rjHfSSSfhne98pxd+5cqVXhh5ExLim9LOwCcRXhBUo+qyCSvG8ZAzCz4cOXBFJDYkWZSS2dmbygTtrGbSg7kmnoUdKhQKBrqkBzMy6qXKnLoAdVqgdXKCm/ouoWwBHy0JD3cJj3QLrO/qV6bQJhtoYxFaWAYVf0lhljoSk1gAq96wJef6DCxHIq+bMKYJipdRZRdiymGqBuKBwTxxGKES+pqVpD5cqHBq0w8VuYCqK0mAJQk220S3NYk2dUlQq2m0oIhxm9WuUC6uMZcISLC5RpIkGxKsGx4J/0KbWXimEuRIs7PfNvXIHkk2BFma9VqirL+F0AtQaUm0I8i2AToSLI+tZxzGgyxDiJBMh5HrJCZ2921qJPbIa8gKjL2sNrLkIA3lpwms+Tbedi4dpUkwOwJb2rikmik7d7cWdUCC2Se65rRMeG+VBrh8DdF1/vDiGvJlljiTKmOXySerEBO2AiJrJ77puG7CllJ7I/NqhrD5VfQV7F82c+XVmxqzWou6YdVboRbsHAe/CXipmP6BQGjBLHumyK3pa9sELAZhCQgtVnU3q98IFcQoZ5VpSne2wPpHSzykzSRkVy6XOZPEx1dzA5MGUR/dCiJrrktoDwyRl7XyCeqhyh44Vddg/3fVcep3hDC/jAWLu+++G7vssgvuvvtuAMADDzyAI444ApdccokNc99992Hvvfe2YfrBSPejK8uylkhOAp7whCdg0aJFuPXWWz333/72t9hhhx0q4y1evDj9JMIsbAaDwbSOXdUIUBHzFelZe14OxnLhFiZvJmbZt/jskwNiTchYr+HLLk2wIoodTZ4900z7W9sRg7032ukq0EOIHhhnS8L6ElhfEmb1oAiYAVKpMwUp+1sAdh1jRXxJv9rUS5YFuVVVv5kg55VKVFopfjCc4qoeMMTAQm4ZNEcotRrMbrULW1cwbmT9nC2ysrVuwfiziGsIs1aKu5wg0M6uWK63rAZ5Rgts43tKsPEnf81m6UciTbd2swpg13025JmQ9JfL4dnr4PlJoqvzt0TXkXJ5cSVRDy6wF96YfTSDC5hUqCQJBiyZ9Pytn3ODIBLM5EivJqomLUt0RRzPj8ke2yWwdJrhZisG/jqw5EgUS7LqyK4lLxG5MmqtJMmCzJpzFPk6EivJWRw3nHTlk1zfppStPyNWeo2/I8By4luVaumgJqOyJsJ2fXEvBHntyRyaN0stcuv/mgdw04eZ1XM6+lWd6T86xOhwgdmSsa5LmCnUvUx+xtGhuk5ORTeTczmqD6cAhxPUfJMG8s7W8wtJsCC6EQlO+Eu/0L+KIFeZQ7A44Ni1NwaRn0cMM+FwFOlsSJidncUNN9wwsvQGIsE333xz5LZ69Wp8/OMfx1FHHeX577jjjoOXbg4wMzODl7zkJfjGN76BY489FkSEO++8E//5n/+JL37xi32nZ29i/YvkEfuDsaFWLH7EXSziNYBlZsLRU4rZqRoeQTaklWFfrYXLypokjSkEmzPQ+RnTADVhjrxzkrbFIUF2nSJFnZnpjNUMcNgJMn6nrEqmiKVarsysf2sGZLN8prSTlvl4x6LOzcf4Ge5luINaMonsgwf0+ZWamNvOHZpksfFXA6fZwjiYB4YSavGF0tSnvV5kzSkK1pPxZFkJdgm2wg6wbMtVGKIMf2k5c26G5Hq2xLZcjuS2IJRgm7ZQg3W+loDCbZttXwObqx76CxML6HrzCLJsV/rmMWEgzlemIV85+9xEmm34cXvBppiIEpFTwDWaijAynCGsqp07G1gT3u4UaMLbNLU/tL+OY/KzWw/b9IVdLwIijJDIOkVXmjNI/67Nwyff5lW7CWP6EUNwfLMEf1KViyuUXh3AEK+IILO6N+VqBk7BZC9tSYB9UsgiLR+ky6/uOdsTWj9Ngb225u4j/cBulWD3oOruWVgVnNgJEiWUSYu5Dm2GeKvm7jlK5Gv7InE+3gOSvY5pwmoeqEIVWIYtxTeEf5hH2ObDurffnC63jct+GmGmLBya39lx2ccJaZY0bDoZg2MgEhxOKpP47ne/i4985CP29yRunPG3f/u32HPPPXHQQQfhuc99Lr7+9a9jzz33xKtf/eq+05K7EQHBIOwOvQBi/PYgFUVLoIN4luBSKr7fSabcU51oSLa8zh6yI65OX5EOOViEnR15v4GaV55yAC2dO5nCsCFdppbVsOV1svaYXZ6i4MZEIeo+TEYccRuPTZe6HLZcEA8aYK24+za/pu6sQizqHWQXWrCvUUM1V7lpFRnw6lv6GzIs8zUT74wfJdKW6rMk2ARHlCV5dlu1sk3fJwhsSbQz6xDXIHB3ZFbkQ3Lw9xu8NMsw5+IH6I/8hrCpcsod+vpT7GfcOWyLgmgYEioapiO5Lqwfz5HcUqRpiK5xL5m8chjyoshuTHbcElluQwpfKXbkLCQ1Jt0u/NfpgCTfLo0oLsRiF5KcsU9kPVtV42/T5IicSVIcg+xDVsEEtyyhj/DaunYv11kX/THIn8NJMi13rmCA9aQ+eX+uJ7VUmllVxr6BImeCRsLd62cT3+aH99AetUm49oOYxALuWlSRVQ7CpuLLMDKcLFeYunc+Vfdgxe9e6PYbIWPBYiASfMcdd4y6HPOKpz71qbjhhhvwta99Dffccw9OPvlkvPrVr0a73X91mFec9rfwI/tHuHEijIjtE9TAlrXiW/ob9Tby0wTNI9Gi0JZoBOOBeRsYdvhx+WNCmeoEZYdWqfbAdLzsJqYFJ2rq0ayuULIrJIk0kpUBJOs1LDt5B+HgooiwrC9Tf6k6IPFhaFIqrxU75ccuiCDSNsuwtUjZFRfEgQpPgkQLcm3ShCHXbAdxF9eQY2dWAS9uSGaDuMF32H48Ehz4+QqXX3k+QWabpzmwRNv77de+55a60HGUqtjOu+J+t6WURFIENG6OTIgztoQzUInhx3OvtEkmLdRgR3pcntLuM0FkQeL+I49Q2tfsqYlT2s9TiQP/kAAn/UQYma7pA5ITstgnwCHBCs/fv0rhj/hBJwqnHex9TK7HC++z5CwDc33NCUCt6+1MztR92+WEGZUg3VLMqMoj4ay+E/4+CU0TYUZc//JA9uvedQjyDds64JuppMocHkvHpHtDTII2l80hJgMDkeBtttlm1OWYdzz+8Y/He97znqHT6ZTwSAOAiGAGXu44Rc5EeGlbmSKiSRKsPZJ+JMOlyxvFSxLeZnwC8Du/6LUY93htmfCXnZ8bWEffo6lBWhNG75rIT0Dq9KDmTB1Coqq+C23qIOaJASRIsPiWxN4RVXWdQ4XeJ6Mh0XVEWCqyps0UtmxShXXnWth0ZVtxpFjGtacUkVyf6Eo3WR5Z1wjUZxMvemAUpFiiaTsNkSYT5HlWEQ5pahCmZ00hRDgbD6Y9p8yHSBA/Ybdr03Uqcmn9yCNfsYqs/pQiforkWsIq8pb+VZOq/Ps3TbZcXE7am1a9hjcT1kKCHPonlU9wVH/9ghlwW3e6xEv90Gfq2RFZtte2KFU42X94D6oU3mcuTHhvNi6v/pMiweZ8IpIr4kiiG8UFvDe+UX1XENawPaTKm0qzF8Lyp9DJzHGqcO+992LjjTcGoNraI488Yn8bt+XLlw+UdmMSvOeee+LDH/4w9t9//8owzIxLLrkEH/jAB/Czn/1soAJNG8zsZAM5jyLdSaVXI0iRVguTniQuQf8riUlVesRpgiwJduQfEMBBIDvQ1GAVDnThIFqn9siOtKLYgWt8FqGr/O2Z85AaxIxCG5Mztva9Zoz0BjP9m8F20w7pZ7bEtoRUnAgJP7PihCTnjsSKNZZdsQNFN7DrhiPYZEgyRL7QcUQaJqaXtiDmNl9TL2Fd6T8pW0dXtLTK67X1BFmQiCbNNQWHurR2rjg2DtYWM/S37dUpsX5aOp7XrmOSLGfryzI4UukrvRDxUgQ6RTblo4x8FV63IUJo7uDlm4pr47GXv19Xoj7YUNeUu+lfhH9UVkHSBmwS8rzIHshVg9VfZpgl122jdC+qlCMn+gZDjNX9nXgLKElwgPB+TpXZHISnL6+JF1b4G3OFyE/ESd8PNWVB6j6IfwwicqTuPYlJMIeQEzqHTWchY8WKFfjsZz/bM9ygy/M2JsFvf/vb8ZrXvAZLly7FQQcdhOc85znYYostwMy4++67cfXVV+PCCy9Et9vFJz7xiYEKM42IbIJ7NUiplnG6wwLgkYkwbdvdJkhweCzTknaeUdo1RY78Q8YYoLLjS3R4/qDPaT850Jm/7IdL5WvDe/myF5Y8V+3A/qOKvF5SmYyWXrMDmyB9Mq2A5MpVCxxhRKTkmkstzSW8wTDwryLBUvEN4yoibAhprCK79N1gD0iCSxVE1ifBYb7y3BEqyUEZQnhEOfCoux+aou5W5kQAQ4Y48I/aPHyC67tLUkde/Oh+EZEZ5BHNkNh4fpGpBSrtPkOSHJHgIIxXXpFmeoJaRVxWxCfKTxRMxWevj5B+EP7SzQtj027IIhiIGpe8CKTMRgiOuHlvkYg0wa148CN/WUTrLg6ivj383bCxc3AQttEwMFf4pR7GwoRSJDZsY1V+9nfDS1SFMPokkGBG+C5x8HQWMpYtW4a3vOUtc5Z+YxJ8xBFH4NBDD8V5552H8847D+ecc47dXGLFihXYe++98eEPfxiHH344Fi1aNGcFnjQwc0TeKkGwA1vl03zNb9/dH62kEhDFNUTMdKLcPzGgZMfvo0phqexgKwY7G84O6Bz5I4gTDWap8D3KBrhBS+o7LEYh608Asa9wmmWVpJukMcadWZgyeIOkIMksFFc2JJWcvxwQTZ6UVomlrbe1NRT5OwJeoSJbN04Q3WAVC5G2i0+QDwdefXt5UY1ffPXIBPKz9P3nCJVtid3VTrX7OtLgCGys9JrjyL4ycPMnxYl4MlwffiadlJIry1S9K1j9mx4Xn7100+fL8XmF/qLM4XlIeMowmsGQW2KKJs2SLYu+RxL9vJ6Cpx5GRTzrz2zfBiWXYeM4jlcG6uNkEmjSf0e/RR9elUZVkeR1qQ3jMhoZJnHCfsZ40JdN8KJFi3DMMcfgmGOOAaA2jCCigW0xFgLUrkYNA4u7Xj7dJw57K8oyrHdQZW7hetB6ct0gL0HOUgN9iPQgZL7dwBZ1tuyHq1MMOOHIgUOvKo3Pn7zBRyqVRvUVoQAWr+85oUaSJoQJMgk40hfOPjfXzC43JsL6cWMS66ULnwSnia6LI8tuzCjkuaTixuckbXd9dVvGD9MFwvLFFRbVbxLpqx7mVRW1KnYlCQ7iJQlEVXtHDUn2bIkTZFO4V6XhLzOW9ksT2So/DohsnHajNz2JMsMoxxVlAjjoH+AF6kXM/LSawTWXxMOcODL3qu8ON2mZ3T0TpkG2D4/jG4cmD3yDtu++hjJxkB4HnGft/ZL63aMgw1LYSVCCszlEb3S73WhPhyZot9vYdtttm4XtO3WBFStWDBN9QaDLrNaubYAUKfLv5pjA9qVmMRC+Uo7S4eC3V5iG+SVO1+v4IiJaGa1azQ0H00QCHMdKpt8UwaWwyo0MYGrJJ3z+gKUGO9+kwMYPzCkQhCHAqsBePLhJd1bZlYSR4cg1uzKGg65cJUTmLdViVPl75wzxEJAm5qYUqUlv9ncleY7rxavnBFlOI+1blV+vV7MpNw4bTo94ybcaQVoxCY7JblW6klQa/5BoyvtJktjqNzJcmy4jVnrDeOl0fTKd9GdBaGUYG6feVjXlPwhMGgRYcxYK/fQEONlPwPpB38spgqv7FH3ileY//fTfA/V9FYy1Nk59dr3UYU669s68af4pdPsZGOYI2RyiN+67777aTcyqsMUWWzTePW6kO8ZtiOgwqz3jUT0YVzbR6D5k121WPPH3Qi8FOakQpBjmKFAxWEdZ27BxCG/wqyQo1UR4mFOrfphgAGLViOBaqcEqXjcZkCTUrVXq4ghCGE2MESsxpPKLllHyT9ozWahQoKxSm0i/yt1Lu8o/ETeMH8J7KCDnWpXGIDdLXZTKJhMSvZo4VYQ6JLzSX5K/Or9UXjL9ZNqCdHoE2POL8w8JtHc+nJjYFpW1iTkTRwTbhUmQ4AYkN20PXPerGbw+oNI/vgfN1sz2XvC8nW19+BAq07S/pcNc9d+90KB/r4nqHYxqhZ9KIh787kwACc7ojS233BKzs7N9x6PUoFKBTIKHhFrHMiAcwd/+bjceyLYrpSrUZDFvCOlpP0RVxmqqMqSGuIEGOtvBpxWfcIKjddZ/1YAWtwtC1evSUDmOJ4lZhdmQZamGsptsA2FzbNOTcVjmo481cY7SlaXrkwSnwoQISWwqfpWSXOU2H+hJghOkz4SpI7oA0oQxiFNFOD0/dndARHSDMNI/TkPcRymC7MXlqCx1drsyDZmwVZBh7vGE2htWhPez/t6XcfshYARnDxy9KdJpynva/fVLk75Pqs0g/PuOxsJ5U+Do7wBpjPhcmowb5QRU4LjMIX7zm9/ghBNOwGWXXYbly5fjmGOOwWmnnVa7T0KvOH/4wx9w5pln4lvf+hZuv/12PPnJT8Zb3vIWvOlNbxo670H2b+gHmQQPiS6z3Z3Lx+AvKYgTLKRJPJH3oKjKbuAOLjjoZ8DpqTIw9w4zIMK69AY2TSSrSRkD8JVi6WcmvvgPO3JZMqpUgojc24KQxBo3fwc1Eu4iTJCAU4nDxymZb6JMJNITeUTxwwID0Xn0UoQjxzjJeUXYtoPD5G8AFQqlIWbpV/8yXnXcBMmFT0KNXS4H/sbNJ4cy/Qql1qbvk18vDDtSmy5znZ/JPYY8n7C8vTDIxDhAP7yyOe7V+ipIL6eVKkuAEwXy3xCOvn+vQ5Pc+i5R8MAzavRKcRLMIcZBgh9++GG86EUvwp577olbb70Vt912G/7yL/8SAPDJT35y4Dhnn3022u02LrjgAqxcuRIXX3wxjjrqKBAR3vjGNw6c93yAeIBpkp/61Kewzz774LnPfW7S713vetdICjfJWLNmDTbZZBO8eJN3YoYWjyTNYU0hhs8/PlIY8klf/BkkjaoBcNhy1SGl0Kb9Q3d38ariWfKXJIxuclsqv3AtXt9PRUwRR1+tTRDdgMzKeGHZwvPrRYC946TK7PJPx49Jf10dzwfqCXAPFbJSvZTKZ+xXFV+Gs4Q0kaYkuTFZrVlOTIT3zswj1xVkVjz89kOCvXIkzsme14B9gFGX+4kb3jV9vHFNpFFNodP9Rn2/0k++/WNu+ln/HpoLKlyNWV6HH63+DFavXj3vc5sMd/jyzu/Bstbw3OHh7jq84fpPNDqXc889F2984xtx7733YtNNNwUAnHnmmTj55JNx3333YdmyZSOJAwCvetWrcO+99+KSSy4ZKp25xkBK8Lvf/W4sWrQIZ511Ft7whjdEfhsCCTboqn2W+ohRpx9UKwHTitRg20/EdOj57TATFMx38Yide1VZNZj5rzzD4SndBpw5Agu/hJLK/moMJoC/vbOfeKQsJwZbRZBZ+AXlFiQ2ed41Kq9Lo2qornirMqaHRYMmy0FFdJSr7wBJZBulm1RmeymyIpxfrIDoukiRX5Rvnc2uu+tjgiz90iTXHccnmzyXivhVPoP0I7bNsfcrHaZnWv33K/2kPw3odQ3mgoJ3J2Cz4XFMjLv88suxyy67WBIKAPvvvz8efvhhXHfddXje8543kjiAmtS2ySabDJ3OXGNgc4izzz4bxx13HK677jqcfvrpc263Makomfu0L+Jkx7fQMeyuP/NLe1Nw+UcEkMNw9at8WPtYriCMNW5JtTb6NqTWsQVP0eWgfJ75BJKDrVWQLcEX9UH+ufiDOMksKs9LEfV0oMr6SKjK8wGvXVacV6WymSCu6XhcGTYZTxDDkDQkV5zw0q5eTkyS3GqFukbJrVB6I/KcMNOoS71J38DR37mA7BfcUfP2GMYXfxv0Kwsdc3X1wnk8CwFm3waDxYsXY/FiX2m+++678bjHPc5z23zzza1fCoPE+d73vodLLrkEF1100VDpzAcGZq6vec1rsOOOO+Kwww7Dr371K3zrW9/CZpttNsqyTQX6V4JDLORurb6jqRvaJr2LSu4ol/RFEI4i8ps0T4gSdnbCMQn2iWZqVQqfpAbsMSKwcXwSo3Ld69rYr1qniCfgNVXFKsLME+rV3jrHBuStQin2CWy9+UCoxsq8quJVkdCQpKbDVMV17LuONIeEOM4/jF2dVirefPcl9e2xqqX3SisVb8MdO4bFRCjBPBqbYHNrrly50nM/5ZRTcOqppzaIr/v1Pux76uJceeWVePWrX43/9//+H17ykpeMPO9RYyj5do899sDPf/5zHHroodhtt93wve99b1TlmhqU6FcJDjHpdG/uIIfVaaoFxRsZ1QNaWu135g6hb4XKHClBVa9P/Y5EKap1RNyX9MJtkuPwJlwiwTBMRYBkWdgPFE34IT/tZJ7meL760ARJ7bftpkiq+1lDVtn59q80D0OC68rk/FK2yO54MLV2FPHGQ4VDkHfv9UeFVbxYaR73OU0vJmJ1CP0ZRToAcMcdd3g2waEKDKglx6699lrP7b777gOg1tZNoZ84P//5z3HAAQfguOOOw0c+8pGh854PDG3DsNVWW+HSSy/FG9/4xrHZdIwTs+iC0W0Utsp6bJKf53u9ihxFDr19x9FhNR2mqhXhaiJcnXalKtzkiOOUG5VJ8/k6rcmYQiTLLM0eEv5Vly8isjUKdVW8SUBd66xtuREJrlM8g4fGtIhck1pVmvoOYz9O6q6vU1x7Uc56Rbea6saKceqojihPJqrbcP/9ziChJnnU6d/Gu390Go7Z04QVK1b0nBi355574txzz8WDDz5obXP//d//HcuWLcOznvWsoeL893//N170ohfhda97XXK1h0Hyng8MRIJPPPFE7/eSJUvw1a9+FZ/73Ofwk5/8ZCQFmxaUKFE2uqGqqMtk7/dSPVDN/RAzLqW4F1Gti5U6amYu0Usp4kS6ca2QYY8VJataXskty5daCs210+TSTp4E2f/w6sIHCrWQgif5HpGQKu+wdvCxe/0jYa/lwuqIqDNpqCKxc6fIVvcs1SUeV98wlxis3+knVfl7cmutyfUfFuVEmEOQ3Xlw2HSa4vDDD8cpp5yCN7/5zTj99NNx22234WMf+xje/OY329UZbrnlFuywww648MILcdBBBzWKc+211+JFL3oRXv/61+NTn/rUwHmPAwOR4I9//ONJ97e+9a1461vfOlSBpg0luuj2/VQ5LUN6iLnUgGt+UXW40YJsFoMPSPUxe7nErzx931To+VCgrSLcR4fbW9Ouzt+Cq80w/PTm757qRbt6z7lpTtz6MWnopYvWqar1pHIwRbZXms3KXZeuSJtin+lB0HY56Ype91BfeUwVRn9dmwlXc4tRm0M0wbJly/CjH/0IJ5xwArbddltvw4ph4nz+85/HqlWr8OlPfxqf/vSnrft2222HW265ZeC85wMDrROc4db6e/Ymr0OLFo27OFOJ9CA57uYY08W+SXDCLKGfXKtyri5Tk9jKpRcBrSfvg9LNXmstD/Zytn5y4tzAJ4PDKL2DrpldRSfdUTMS25te1xHl1FFv8l1DsPsksf1Q6OnHsH1SRogur8cvVv/DWNcJPuuZ78XSEawT/Eh3HU644eNjOZeFgA1zXbMRotOHTfCGh6YvVacHVdqr51o7QlVrrr2jixV9k2pRrzUrmpSpKYGuG4ybD9TDE9m6EvQOF6OOZPZ2bZryYAS66lFxmBfITehkOmdJXuseYvsxpGhWKwvRGGJw1PVJGWn0//Z29BjXtskZPjIJHhKcSXAlJlPpHQXijYtjS9x0vDCF/vPUx1F0v0yjUq+baFCD5Zum3aMdugef/jNqdbGJqtosfhXx66W49s4hpcj2uoebGFM0yDVKNw7XK/ZC6FeGQbpPykhjEsZsxmha7Ybe8odFJsFDokMdMBXjLsaEY9DNTScV8YDTLFZ8FCHcyCKRQm/1tYlm21S9Dsh3j7JVu0ii3Sx+L/Sqz2FJwOCttd42t9K1koA2jD+EeUA9he5H6a0oX+02mM3qqx99e8PDYH3ShoouOuMuQsaEIJPgIcF6peCMGKHKszCIsBlq+ld1G505DWYg4A+AlNihrf9BMlaWRq1eD4MmJhzzi2HffIySyA6uqga+JNMdxohjsHrIam8TpN7XjPtumGxMwpitzCGGv07ZHGI4ZBI8JNQTZe5wquAP6Qvjbg23lhjd1U8NYAOqzQmJd5B049h9loeHIdGNcqhxGY0WPFirHdRmWNwrAxW/mWbb1HLXliU46qcsTcl5KmZchowU5q5PWpiYBCU4m0NMBjIJHhLl0NsmL2TEKtC0D2b+SrtyVd5RDTujX/NgOIVoSJWJZIz5G5ojpb5ps6NxPriN/m1J+m1Mf3lUp9Esdv+xUmr4tPcccwfVB4m3QBh1n7TwMAnrBGdMBjIJHhIlZsddhCnBaIew0b0i7Y+eSQI8egwzua06zar0B0upKu7/397dB0ZR3nkA/05CsgnkBRIwICQhvAQMSBQFjFVsQUBPagWvFYoKSFpO76QI9QWtivR6FPDEHlJUjkKhFNFTASnvihqwgoXwLggWMYT3EBIg79nf/bHZJZvdJLs7szszO99PeMLu7DOzM5N5+e2zv3mm6cvmgqG5lm2l0Se+aT5HNZhhWWMZsIG2Szc3nj9pGN7mpvlc5cA1lQ0cjqGxkY5J4ckI5232DmEMDIJVcnS6zQvj9KGmtc49INT7OOKcF2cLjnvrjlbvoWjeQlT/a9hrLVC+j63l+4dG4Dm7TU3P/3fWcosNdJm8ZTGHtuU89O8ZTMY6JoUzI9wsg4yBQbBKji7SjBEECwAfblcVRgIPRQz7laESvNSBptMYtMzd9ffiO//GaTiFUP8F1QfAgaUUaPN+zV0wF8h7iU7HHq2TR/Rl2GOSWorxLtMzQhdpetwxjjwxCFZJRGCEK00bnuTCp3UkOIy4dpy5q/Vbg7XkfZmVev8FpwW6KaFvydWbzi2m4j5M/VTrP+JRR41wW3euD/PiOKYYaQ83wo1yRbT53GiARTE1BsEq1aLGYAcvI86NsebJGDxPCnrm9l3rxUHry/KafFefXjfX9e7+XHwW/P3Ce/ZuMN43mDnB5DvjBJtGzlW2G6B3CDIGBsEqOdIhjLeTG4XjUypbigAvwZy2Heeq4J6L7D5MX8HIYw4uo30T4y34Dc28Ndz3Q/fO1tLwY6tA6z65w48R0iEECuwaHNcYf6jDIFglu9RC+xN0uJ0wwmdJ1HBfC35026WB5ltTjdre2vQ8K25Vgj334vqv+T3UWNu8b63TwQjdjbUewpHHccVzoOkE+/sox3lbX0yHMAYGwSoF445x1/KVuHWTNq61DjV9UjHHFnctYBfXh4nQ9g7hX9qDGUiDllsi/bi+mfLhmBXY9PW/joeMgUGwSnYJVm5RuLUGq2C1j7oaf5fpnJpocIvO0PLWHnTtkfG2ioYtqcabw+YFeNyx2j6qFwvkObilZAVpswreeduPeQB7hzACBsEqidgNkV8UbkJ3QY9xKG5fZWqXnmDOtebstaLhDTGMvDT1tlALfJvD3iFCJ1jHBiMKxTYkon/oyJtlGAODYJWk7sbJ4Uvc/tPvRBf+e7oRL3DwvJivwfNgk/rzYXy67hvcR8NWsI4Nuu/fOmE6BDkxCFbJ8Yky3A8abOkJDeOtXeccXWuJ0qc11nhrxmiM1isFaSs4f1ej7N+hZoSWYIE2azr8/1rBxSBYJTHAVab1hbIPULIOI/f5SQD3UVIjmPu3cXouvsZo523SD4NglRxfqxhnJ792VyieFImISC/ud6M0EiOkQzAn2BgYBKtklxqD3FagjjT6hIjIMNT3pBHKuxuSf/TsxaXhduG5dRgiHYL9BBsCg2CVrJETTESkLVfqVsBnccX5z5AXlVqbeH0YOg16lWmweRihJZiMgUGwSnYJ774hiMgqQhytqOzNQgEAUVTcK4VH7nDlbAGut4m5MUJLMPsJNgYGwWoZYGciIgqE95QEc3y/GljmV8N+pxkKh6PmNgdDBMHMCTYEBsEqhXsvwURkEEFL/guvG0ADTYW34l5LCZ9lJt8xHYKcGASrZYBPlEQU3jzCVF4N0zjF+TW4oOnWXmEEbFUGOG+zn2BjYBCskmi2Kfv6huqvqSYiM2r2S96QzIV3Bvo+TBq09oLHSaNx21qU0G87RripDNMhjIFBsFoSuiBY6v3mYZ2I6hPR49hQ19KqXGt1NRYeJ43I8VdRXE9CvuXwmxSqwyBYpdDmFtWFwUHZf3lQIDIvvfbf+sckIwbB5LtQ//1Ety7ujJATLFA0WW52D6gOg2CVjHCVqTbE4zcRke943DCja7c11qE1X/Q55xjhvC3QJpWBe506DIJVMsLOpJ6RdyPmQBNR+PIedoYuGHXPj7VGq2J4nLdJCwyCVePOFCxec6AZBRNRGBFX3GmE20Bb5QCr/3mbF8YZA4NglRwXo+i/Q4UfI+/ZRri2mIjUMMytMrzc1sztwjHSnPDCOKrDIFglR4I9D1bWwh46iMxNMcHea/w5NCsjNGOwn2BjYBCsmhU2wYY3XtdnLvRn2QUnCjMN92ULN2QojT4JY/ofy/VMhygqKsKuXbsQHx+P/v37IzIyUpNxysvLsXXrVrRp0wY5OTlur5WVlWHTpk0e4+Tk5CAlJcX/hdAIg2DV9N+Zgkpcv1wDwnyJichyrHtUU6RB4GuJONi6f++lS5fiiSeewI033ojTp08jNjYWGzduRFpaWsDjlJeX4/nnn8fKlStRU1ODvn37YsOGDW7TOHfuHEaMGIG7774brVq1cg3v1KkTg2Azc1xlGs5HDSseLKy4zETkKZyP7Q4ezRoNg+IwZIScYKn70WI6vjpx4gR+8YtfYN68efjlL3+J6upqDBo0CBMnTsT69esDHqe8vBxpaWk4ePAgnnzySVy4cKHReViwYAG6devm30IGEYNg1cI9CLYqZ28U+h8siSiUFIsf0q1wzNN/GfVIh1i5ciXi4uLw2GOPAQCioqLwq1/9Cj/72c9w9uxZry2yvoyTlJSEp556yqd5yM/Px/Hjx9G9e3d07tzZ95kPEgbBqum/MwWdR0qEVTD1g8hqFEi91tBwOwJYPcB3Cre/K1BaWur23GazwWazuQ3bu3cvevXqhRYtroV+N910E0QEBw4c8BoEBzJOU2bMmIGkpCT84x//wJAhQ/DnP/8ZiYmJfk1DSwyCVZNw3J+8YEBIROEvXO+a6Yp9w2/RAqD/StC6d4jU1FS34S+//DKmT5/uNqykpARt2rRxG5acnAwAuHTpktfpBzKON3Fxcfj8889x5513AgAKCgpw++23Y+rUqfjf//1fn6ejNQbBqtl5727yg/4HXyJz4fFVC+Ea3AdG//WgdTpEQUEBEhISXMMbtgIDQHR0NC5fvuw27MqVK43WD3Qcb9q2besKgAFH0P7kk09i1qxZDILNTf+dicyI2w1R8xRwXyHthd82lZCQ4BYEe9OlSxesXbvWbVhBQQEAICMjQ7NxfNW6dWtcvHgRNTU1bukWoRShy7uGFWFhCaAQUfP03k9ZwrfoS0S74qt7770XR44cwYEDB1zD3nvvPaSlpSErKwsAcPXqVaxatQpnz571eRxfeOsxYvXq1ejTp49uATDAlmAiIiKisDd48GAMHz4cI0aMwK9//WucOHEC8+bNwzvvvANFcaQdnT59GiNGjMBHH32E4cOH+zQOAGzYsAEVFRU4efIkSktLsWrVKkRGRuLHP/4xAGDhwoX44osvcM8996BVq1Z4//338dlnn2HNmjW6rAsnBsEUQsztIyIKjP6tl6Qde13RYjr++OCDD/DWW2/h008/RXx8PLZu3eqWqxsXF4ef/OQnaN++vc/jAI6u1IqLi9G6dWu0bt0aS5YsQXR0tCsInjZtGj7++GOsXr0aly5dwoABA/D222+jQ4cOAS+7FhQxQq/RJlRaWlrXrUcEGNw1h+uHiEgbPGWrJwDsKCkpaTaPVmvO2GFip2mwRcSonl6lvQJvnZypy7KEA7YEq6YgPIO8cFwmIiKz0/LYzICarI1BMNVpeGBlEExEZC0MikPGz4vampoOBY5BsGpGawlWNy+Kl0dExmD2bZJnKzISQd398eoJZB/jdh0IvXKCyR2DYNWMFQQr9X4TmVv9W7yGwzZdr89bARg8kL60O1twSyazYhCsmgJFtxO00uRTIvNrbqM26kbfWFhQN7+KwLjzTuSPujOgxyZv3NDYCHPmbx+/TU2HAme6IPjq1avYt28fWrRogaysLLRq1cprvf379+Ps2bPIysrC9ddfH3AdYwm3ljEiNZQG/xuB84zU3J3OjDTPRBrw2KT5zUdTmA5hDKYJgkUEzzzzDJYtW4YuXbqgrKwMBQUFmD9/PkaNGuWqd+XKFfzkJz/B3r170b17d+zZswcvvPACfvOb3/hVx3cKoITyhKbmvXjipXBjtG3aOT9s6aVwEmgAa9BvPhiPUx1TBcEpKSn49ttvXa2/r732GsaOHYs77rgDnTp1AgC8+OKLOH78OI4cOYLk5GRs3rwZQ4cOxcCBAzFw4ECf6/jOWDnBvjHb/BKZDfcxChfOAFZN5Mj9oSERgRa3aeCtHtSJ0HsGfBUREYFf//rXbukPY8aMQVVVFfbt2wfAsTEsW7YMubm5SE5OBgAMGTIEffv2xdKlS32u4x/FhCV0rr0rf/jDH/7wR92PHuqnHYVT0ZddtCsUONO0BHuzbds2AECPHj0AAIWFhSgqKkJ2drZbvZtuugl79+71uY43lZWVqKysdD0vLS2te2SMHcrY6h1EuaqIiPzjyqlVoEB0+DafB24KT7oGwXv37kVBQUGTdQYNGoSWLVt6DC8sLMSTTz6J8ePHo2vXrgCAS5cuAQCSkpLc6iYnJ7te86WONzNnzsQrr7ziMVzPz+fmobj9ZxyGmyEiMoUQh6EKAHGmJPCMowW9G1BFo3nQeznMTtcgeOvWrdiyZUuTdW655RaPIPj8+fMYOnQosrKy8Mc//tE1PDo6GgBQVlbmVr+srMz1mi91vJk2bRqmTJniel5aWorU1FRAURDaC+NIG0ojj4mImqJFjmwAFNcv0gKjR4LOQfDkyZMxefJkv8a5cOECBg0ahJSUFKxZswYxMTGu19LS0hAZGYmTJ0+6jVNQUICMjAyf63hjs9lgs9m8vMJ0CPMKr7+bUu83UWjp8RW9Xq61yBIFSqt8XuYEq2OaC+OAawFwu3btsHbtWo8W4piYGNx111344IMPXMMuXbqEjz/+GPfcc4/Pdfyjd3I/S+AlfLgHwHXLp7CwBKl47EdW+4q+4TpgMV/RFy+MMwZFTNK/RlVVFQYMGIBTp05h3rx5bgFwdna2IzUBwM6dOzFw4ECMHz8eOTk5ePPNN1FaWoqvvvoKsbGxPtdpTmlpKRITE6EoCVCU0OxQSr3fRJ6UJp8SacZEdwcjvRnvWwJH92SlKCkpQUJCQkjf2xk7/Py65xAdEdP8CM2oslfgr+d+r8uyhAPT9A5RUVGBjh07omPHjh5dmU2aNMkVBPfv3x87d+7Em2++idWrV2Po0KGYPHmyW3DrSx1jUjwfM9AholDzOO7wQET1SP0HevVoYWyOC+M06CdY/axYmmlago3G+WkuQkkMWUuwA1v7jIErnsj4eHrThcG/KRAR2KVE15bgh9o9h+gIb9cZ+afKXomV59kSHCjTtAQblitHjqxDqfeIf3sio7nWwqbAaAGYJZjhmwJuFgQGwRowRpI9hRrDXyKjcnwBD7AXBzIqEUfRYjoUOAbBKjlCYB5kiYiMhBcSU+P0jxwFArsmOcH6L4uZMQgmCjmemIl8x5M8EQUHg2CikFKu/c9YmKhxwrxeCl9MhzAGBsHkI0Zs2mEATNQsRamLfZnXqx1GTET1MQgmHzTon5jnIyIKBcX1iwLl+iBBRmKvK1pMhwLHIFg1q/QOweCXiMh0FADCg7c7/deH4651GlwYx3wIVRgEq8V+gomIyMgUjwcWx/VADgyCiUgldhJoFOwuicgc7OIoWkyHAscgmIhUUbw8Ij1I3U0ieFYkMjq7Rv0EazENK2MQTGQoZmxVNd8chydz3h6CQTsR6YVBMJFhKGxVJQ2Yadth6zVZk0CjfoLVT8LSGAQTBSB47bVmCmCI1Ape67XU+01kNEyHMAYGwUR+uhYAM2Al0obW+5LU3WeOd5sjosYxCCbyqqm2Xga/RMbmbGFu/G5zbCkmPYlos/Wxm2B1GAQTeWBuLlF4aGz/ZRsxETEIJvLCeZmOUteSFAgGz0TBF9j+yVZg0pteOcEignfffRfbt29HfHw8Ro8ejd69e6seR0Tw8ccf44MPPkBmZiYmT56syXsHW4Su705kaBLAz7VxiSiYnKFsIHsp90/Sl11Es+KPsWPHYsqUKUhJScH58+fRt29fbNy4UdU4xcXF6NmzJ2bOnIkvv/wSGzZs0Oy9g40twUSa0qIVWS9svbY2c22vbM0l8s/27duxbNky7NixA/379wcAKIqCSZMm4ciRIwGPY7PZsHbtWnTv3h0PP/wwLly4oMl7hwJbgomCIpD2Kf1+nPNMVhV4q6p+2yy3VzIv7Y/fzfvoo4/QpUsXVxAKAD//+c/xzTffNBqI+jJOy5Yt0b17d83fOxQYBBNRvUOpsFiwXPtNRKEgAOwaFOdeW1pa6lYqKys93vPYsWPo3Lmz27CMjAzXa94EMk4wp6M1BsFEVEfvtj3+6PVz7VRKRGaUmpqKxMREV5k5c6ZHnfLycsTHx7sNcz4vLy/3Ot1AxgnmdLTGnGAiIiKiENK6d4iCggIkJCS4httsNo+6CQkJOHXqlNuwixcvul7zJpBxgjkdrbElmIiIiCiERESzAjgCyfrFWxDcu3dvHD58GHa73TXs4MGDAIBevXp5nc9AxgnmdLTGIFgtkTAqeq9MIiIKKYEBzj06FAv66U9/iqKiIrz77rsAALvdjvnz52PgwIHo2LEjAOD8+fPIzc3Fvn37fB5Hq/fWA9MhVAuXfLq6+yeJwp6yiIgsQxp5HM70X049bpaRmZmJV199FRMmTMDy5ctx8uRJnD9/Hlu2bHHVKSkpwaJFi/DAAw+gT58+Po0DAFOnTkVJSQm+/PJLVFZWIjc3F1FRUViwYIHP760HRcSiH4lUKi0tRWJiIiIj2kBRwqVBndEvGVEYfTAT1y8iA7HWNiliR629GCUlJSHPR3XGDnckPIkWimfKgr9qpBLbSuf5tSzffvstvvzyS8THx2Pw4MFo1aqV2/y9++67GDZsGFJTU30aBwD++te/oqyszG1YixYtMG7cOJ/fWw8MggMUnkEwkZHUi3yVMIiCPQJgHnqJ9GD1IJiuYToEERmUM0hUwiyHL5yWhYgCIXUJEVpMhwLHIJiIDI5BIxERaY9BsEpS7zdZixI2iapE4Ud4XKZGGGHL0OPCOPLEIFg1boDW4wh+BcJAmMiAhLnX1CT9twkGwcbAIJjIb9dyVdnaRGRU3DeJqGkMgtXicdbCGvnjs3GYKHR4DCZ/GWCbsdf9aDEdChyDYNUMsDeRsQjg3r2XXjNCFGY8Drc8/lIg9N9uRBGIokXvEPovi5kxCFaJGyDVp7h+i+sZNxGiYBDX/9zFyB/cYsiJQTCRhhyhrzMA5oGWKHjYNw+Zl2h0YRwDenUYBBNpjKdmIiJqih12KMwJ1h2DYNUY7BAREZkHz9vkwCBYNe5MRERE5qH/eZu3TTaGCL1ngIiIiIgo1NgSTERERBRCdsUORYMu0pgTrA6DYLVE/69ViIiIyEcGOG/zwjhjYBCsErsnISIiMg+et8mJQbBq3JmIiIjMQ//zNluCjYFBsGr670xERETkK/3P2+wdwhgYBKum/85Eaih6zwARGQ6P6+GNf19yYBCsmnB/MiPFGfw6b3FMRAS4DuhS7zGFGf3/rnbUQkGtJtOhwDEIJmuSuuBXAYxwQCQigxCPB0SaE4hG6RDcTtVgEEwWxlZ8IiIiq2IQrBo/hxEREZmH/mdt3izDGBgEExEREYWQIyc4QpPpUOAYBKum/ydKIiIi8hXP2+TAIFg17kxERETmYYTztjb9BIPpEKqob4snIiIiIjIZtgSrZoRPlEREROQb/c/bdqmFFu2QjulQoBgEExEREYUQb5tsDEyHICIiIiLLYUswERERUQgJaiEatEMKu0hThUEwERERUQg5bnLBm2XojUGwakpdISIiIiKzYBBMREREFEIC0ejCOP17ujAzXhinmsLCwsLCwsJiqqIvkVrNij9OnjyJ0aNHIy0tDb169cKsWbMg0nQg7cs4zdUpKChA27ZtPcqmTZv8mn+tsSVYNWPsUERERESNqaqqwpAhQ5CRkYH169fjxIkTGDNmDKqqqvDiiy8GPI4vdWpra1FUVISdO3ciIyPDNf3ExMTgL3gTFGnuIwB5VVpaWvfHi4LCIJiIiMgUHCkE1SgpKUFCQkJI39sZO7RPHIgIRX07pF1qcKbkc5+WZcWKFXjkkUdw+vRptGvXDgAwZ84c/Od//ifOnTsHm80W0Di+1Pnuu++QkZGBo0ePolu3bqqXWytMh1BN7690WFhYWFhYWPwr1vP5558jOzvbFagCwNChQ1FaWoq9e/cGPI4/07333nuRnp6Ou+++G2vXrtVy8QLCdAjVFECx5g4V1sTjARGFDcWqcRABhjisO/oJVr8ROvsJLi0tdRtus9k8WnZPnTqFlJQUt2HO56dPn/Y6fV/G8aWOoigYO3YsHn/8cSQlJeGDDz7AAw88gMWLF+ORRx7xbWGDwLRBcHl5OU6cOIGkpCRcd911Hq9fvnwZRUVF6NixI6KiorxOw5c6zbPup8qwptQdJQ1wsCQiLdUPgHnsJn2IaHTbZHFMIzU11W34yy+/jOnTpzeoK4iMjHQb1qKFIwy0273Piy/j+FInPT0dS5Yscb3+7LPP4vjx4/jtb3+raxBs2nSIxx57DDfccAP+67/+y214TU0NJk6ciLZt26J///5ISUnB8uXL/a5DVld3clQUFhaWsCoN9nGiMFBQUICSkhJXmTZtmkeddu3a4fz5827DnM/rpzL4O04g0wWAfv364dtvv0VNTU1TixZUpgyCFy1ahJMnT6J3794er/3+97/Hhx9+iP379+PcuXN49dVXMXbsWOzbt8+vOkTQPWeNhYUleIVIP3YNfwAgISHBrXi7yG3AgAHYs2cPrly54hr22WefwWazITs72+t8+jJOINMFgKNHj6J169auVmM9mC4I/vrrr/Hiiy9i2bJlHs3vAPDWW28hNzcXmZmZABwtxt26dcPChQv9quM7vQ/kLCwsLCwsLP4VfenRT/BDDz2ExMREPP300ygvL8c///lPzJo1C+PGjUN8fDwA4Pjx42799/oyji913njjDaxevRrl5eWora3F6tWrMW/ePEycOFHjNesfU+UEV1RUYNSoUZg9ezY6d+7s8fqZM2dw8uRJ3HbbbW7Dc3JysGvXLp/r+McYOxQRERFRYxITE7Fu3TpMmDABiYmJUBQFo0ePxty5c111nP35VlVV+TyOL3Xuu+8+PP/883j00UdRVVWFlJQUzJgxA5MnTw7Z8nujaxB8+vRplJSUNFmna9eurovWpkyZgqysLDz88MNe6xYVFQEA2rZt6za8bdu22L59u891vKmsrERlZaXrufNKTKXuh4iIiMxB72ue9bpt8i233II9e/bg6tWrsNlsHqkIXbp0wfnz591uYtHcOL7UycjIwIoVK2C321FdXe01XUMPugbB//M//4MPP/ywyTqbNm1CWloaNm/ejBUrVmD9+vU4fPgwAEdgWlxcjMOHD6Nnz56u9AjnJxinyspK1x/ElzrezJw5E6+88ornC86LLYiIiMgcdI6CHb1DqI8dnL1D+KtVq1Zeh0dERHg0EjY3jj91IiIiDBMAAzoHwTNnzsTMmTN9qnvu3DmkpKRg3LhxrmHfffcdzp49ix07duDgwYPo2LEjFEXx6O/uzJkz6NSpEwD4VMebadOmYcqUKa7npaWldV2SMB2CiIiIyGxMc2HcmDFjcPjwYbfSs2dPPProozh8+DAiIyMRHx+PW265BRs2bHCNV1VVhS1btuCHP/whAPhUxxubzeZx9aWD3sn9LCwsLCwsLP4VvdXW3TBDXQF8vzCOPJnqwjhfvPLKK7j//vvRp08f5OTk4LXXXkNMTAz+7d/+za86RERERBS+TNMS7E1GRobHrfr+5V/+BatWrcLGjRvx+OOPIyYmBtu2bUNSUpJfdYiIiIiCQcSuWaHAKSKi90WSplRaWorExEREKI7uQIiIiMj4RAR2cdxZ7VpqY2g4Y4fElllQFM97HfhLpBYlZYd0WZZwEHbpECHH3iGIiIjMhc1/BAbBGjBKkj0RERGZgR12aHGPAS36GrYyBsEqOUJgBsFERETmoH8zsCOXV4MgmDnBqpj6wjgiIiIiokCwJZiIiIgohES06d9Xq+lYFYNg1ZgTTEREZB76n7MFAmiQzysGSO0wMwbBarF3CCIiIhPhOZscGAQTERERhZBWF7Txwjh1GAQTERERhRCDYGNgEKySUvdDREREZsBzNjkwCFaNF8YRERGZh/7nbK1ucsGbZajDfoKJiIiIyHLYEkxEREQUQswJNgYGwaoxHYKIiMg89D9nMwg2BgbBKimKAoX9BBMREZkEz9nkwCCYiIiIKKS0asFlS7AaDIKJiIiIQojpEMbA3iGIiIiIyHLYEkxEREQUQuwn2BgYBBMRERGFkIhAi3xex3QoUEyHICIiIiLLYUswERERUUjVQpuu2tgSrAZbgomIiIjIctgSrJIjH4efxIiIiMzACHm0jq7N1LcEG2FZzIxBsGoMgomIiMzDCOdsbYJgYyyLeTEIVkmkBswqISIiMgfeYIKcGASrZJdaKOynj4iIyBQMkUKgUToEjLAsJsYgWCWRamjzlQYREREFmxGCYNEojUGr6VgVg2DVaiDCIJiIiMgcGDiSA4Ng1bgzERERmYcRztu8MM4IGASrxg2QiIjIPIxw3haNZsMIy2Je7NaAiIiIiCyHLcEBupZYr9VXGkRERBR8jvO3vhfICS9qMwAGwQG6fPly3SPeLIOIiMhsLl++jMTExJC+Z3R0NNq3b48zZ85oNs327dsjOjpas+lZiSJG6CvEhOx2O06dOoX4+HgoinYtwaWlpUhNTUVBQQESEhI0m2444rryHdeVf7i+fMd15TuuK98Fc12JCC5fvozrr78eERGhzwqtqKhAVVWVZtOLjo5GTEyMZtOzErYEBygiIgKdOnUK2vQTEhJ4kPQR15XvuK78w/XlO64r33Fd+S5Y6yrULcD1xcTEMGg1CF4YR0RERESWwyCYiIiIiCyHQbDB2Gw2vPzyy7DZbHrPiuFxXfmO68o/XF++47ryHdeV77iuKBR4YRwRERERWQ5bgomIiIjIchgEExEREZHlMAgmIiIiIsthP8EGcOTIEZw/fx533HGHx2v5+fm4evWq27AOHTqga9euHnW//vprVFRUoHfv3oiKigra/Orp+++/x/fff4++ffuiZcuWXuscP34cFy9eRM+ePdGqVauA64STbdu2eQzr1q0b2rdv7zaspqYGBw4cQHR0NG644QZNbwRjFkVFRfjnP/+J1NRUj/VjVQcPHkRxcbHbsKSkJGRlZXnUPXbsGEpKSpCVlYXY2NhQzaKuRAS7d+9GVFQU+vTp47VOVVUVDh48iNjYWPTs2TPgOuFg//79KCsrw4ABAzxe27FjB6qrq92GpaWlIS0tzW2Y3W7HwYMHISLo1asXIiMjgzrPFKaEdPN///d/cvvtt0ubNm0EgFRXV3vU6dWrl2RkZMgPfvADV5kzZ45bne+++0769Okjbdu2lc6dO0tKSops3bo1REsRGp9//rncd999kpycLABk//79HnVKSkrk7rvvlri4OMnMzJS4uDhZunSp33XCTXV1tQCQ3r17u21Hq1atcqu3bds26dChg6SlpUm7du0kKytLjh07ptNc6+Oll14Sm80mWVlZYrPZZMKECVJbW6v3bOlu2LBh0rFjR7ft55lnnnGrU1RUJHfccYckJCRI9+7dJTExUd577z2d5jg0amtrZc6cOdKtWzdp3bq1DBgwwGu9LVu2SLt27SQjI0OSk5MlOztbvv/+e7/rmN2f/vQnuemmm6RNmzaSnJzstU5ycrL06NHDbVtbtGiRW519+/ZJ165dpUOHDtKxY0dJT0+X3bt3h2IRKMwwCNbRjBkzJC8vT1asWNFkEDx37twmp3PHHXfI4MGDpaqqSkREpk6dKsnJyVJSUhKM2dbF/Pnz5aOPPpJdu3Y1GgTn5uZKjx495OLFiyIisnDhQmnRooUcOXLErzrhxhkEN/XB6MqVK9K+fXuZNGmSiIjU1NTIsGHDpF+/fiGaS/2tWrVKoqKiZPv27SIicvjwYUlMTJQ//OEPOs+Z/oYNGyZTp05tss6oUaMkOztbLl++LCIic+fOFZvNJidOnAjFLOqirKxMpk6dKkePHpV///d/9xoEFxcXS5s2beT5558XEZHKykq588475Uc/+pFfdcLBc889J7t27ZK5c+c2GQSvWLGi0WnU1tZKz5495aGHHhK73S4iIg8//LB06dLF6zmUqCkMgg2guSD4pZdekp07d8qpU6c8Xv/mm28EgGzZssU17MKFC9KiRQtZtmxZUOdbD/n5+V6D4IqKCmnZsqW88cYbrmF2u12uv/56eeGFF3yuE46cQfDy5cvlH//4hxQVFXnUeffddyUiIkLOnj3rGvbpp582+oEjHN1///1yzz33uA3Lzc2V7OxsfWbIQIYNGyYTJ06Ur776Sk6cOOEKPpxKSkokKipKlixZ4hpWXV0tSUlJMnPmzFDPri4aC4L/9Kc/SXR0tFujxNq1awWAHD9+3Oc64aS5IPgPf/iDfPXVV3Lu3DmP1z///HMBIAcOHHANO3LkiACQzZs3B22eKTzxwjgT+O///m/84he/QGZmJgYMGIDDhw+7XsvPzwcA3HLLLa5hycnJ6NKli+s1Kzhy5AjKysrc1oOiKLj11ltd68GXOuFs0qRJGD9+PDp06IAHH3wQRUVFrtfy8/ORmpqK6667zjWsf//+rtesID8/323bABzr4MCBAx45ila0ZMkS5ObmIjs7G7169cKOHTtcrznXUf3116JFC9x0002W2X4ak5+fj+7duyMhIcE1rOG+5UsdK3nppZeQm5uL9PR0DBkyBAUFBa7X8vPzYbPZ0KtXL9ewzMxMJCQkWHJdkTq8ME5Du3btQnl5eaOvR0dHuw5svnr66acxatQo2Gw2lJSU4Kc//SlGjhyJPXv2IDo6GhcvXkRkZCQSExPdxktOTsbFixcDWo5QOHToULPzl5OT4/PFDs5pJScnuw1PTk7G119/7XMdM7Db7fjiiy+arNOmTRvXSUJRFCxatAjjx4+Hoig4ceIEhgwZgl/+8pd4//33ATjWTcP1Ehsbi9jYWENvR1rytg6Sk5NRW1uL0tJSj9esZOzYsXjvvfcQHx+PiooK5Obm4oEHHsChQ4fQpk2bJvctq2w/jfG2XSUlJble87WOVcyaNQvjxo1DZGQkzp07h+HDh2P06NGui3u9rSuA2xoFhkGwhubMmYOTJ082+npycjJWr17t1zTHjh3repyYmIjZs2fj5ptvxt69e9GvXz9ERUWhtrYW1dXViI6OdtUtLy93e240f/7zn7F9+/Ym62zYsAFxcXE+Tc/ZG0ZFRYXb8PrrwZc6ZlBZWYnnnnuuyTq33XYbXn31VQBAZGQkHnvsMddr6enpeP7555Gbm4uKigrExMQgKirKY72ICKqqqky1btTwtg6cH2qtsg4aM3r0aNfjmJgYvP7662jXrh0+/fRTjBgxImz2rWDwtl05n9c/NjVXxyomTJjgenzddddhxowZuPfee1FQUIDU1FSv6wrgtkaBYRCsoXfeeSfo75GSkgIAKCwsRL9+/ZCeng4AOHXqFDp37uyqd+rUKY8uZYxk1qxZmk7PuR4KCwtx4403uoYXFha6XvOljhnExsZ67fLMHykpKaitrcWZM2fQuXNnpKen4/Tp0xARV7dop0+fRm1traG3Iy2lp6ejsLDQbVhhYSFat26N+Ph4nebKmJKSkhAVFeVaX/X3rYyMDFe9wsJCr91gWUl6ejo2b97sNsy53pz7li91rKr+OS81NRXp6ekoLi5GWVmZq5vMyspKFBUVWX5dkf+YE2xgZWVlEBG3YZs2bQIA11fdOTk5aNWqFdasWeOq8/e//x3nzp3DkCFDQjezOuvUqRN69uzpth7OnTuHv//976714EudcNSwn2nAsR21bt0anTp1AgAMGTIExcXFyMvLc9VZvXo1YmJicOedd4ZsXvU0ZMgQrFu3DrW1ta5hq1evDuttwxeVlZWoqalxG7Z161ZUV1ejd+/eAIAePXogNTXVbd86ceIE9uzZY/n1N2TIEBQWFmL37t2uYatXr0ZCQoLrA4IvdaygsWNVVFQUevToAQAYNGgQIiIisHbtWleddevWoaamBoMHDw7ZvFKY0PnCPEs7evSo5OXlyfTp0wWAfPrpp5KXlyeXLl0SEZEvvvhCfvCDH8jChQtl48aN8rvf/U7i4uLk8ccfd5vOrFmzpFWrVrJgwQJ55513pGvXrjJixAg9FiloTp48KXl5ebJ48WIBIEuXLpW8vDy3HjM+/PBDiYyMlN/+9rfy4YcfSk5OjmRnZ7u6jvO1Trh56623ZOTIkbJs2TJZt26d/OpXv5IWLVrIm2++6VZv9OjR0rlzZ/nrX/8qb7/9tsTHx8uMGTN0muvQO3XqlFx33XXyr//6r7JmzRqZOHGitGzZ0jK9YzTm+PHjcvPNN8v8+fNl48aN8vrrr0vbtm3l/vvvd6v3l7/8RVq0aCGzZ8+W999/X/r27Su33XZb2PezvGvXLsnLy5ORI0dKVlaW5OXlSV5enlsPGj/+8Y8lMzNTVq5cKfPnz5fY2Fh57bXX3KbjSx2zO3jwoOTl5cmkSZMkMTHRta6uXr0qIo5uCocOHSqLFy+WDRs2yAsvvCA2m01eeeUVt+k89dRT0rZtW1m8eLEsXbpUUlJS5IknntBjkcjkFJEGTY0UMrNmzcJHH33kMfz111/HrbfeCsBxJezChQtx7NgxdOrUCSNHjsTw4cM9xlm+fDlWrlyJyspKDBo0CJMnT4bNZgv6MoTKO++8gzfeeMNj+JQpUzBy5EjX882bN2PhwoW4ePEibr31Vjz77LNo06aN2zi+1Ak369evx8qVK3HmzBl06dIFEyZM8OgJoaqqCvPmzcOmTZsQHR2NBx98EOPGjdNnhnVy/PhxzJ49G0eOHEFaWhqeeuopZGdn6z1bujt69Cj++Mc/4tChQ0hJScE999yD0aNHe9xRcO3atVi8eDFKSkqQk5ODp59+2q3Hg3A0ZswYnDhxwmP4J5984spRraiowNy5c7F161bExsZi1KhRbnnWvtYxu2effdbrtSDLli1zpdFs27YNS5YsQUFBAdLT0zFmzBjcddddbvXtdjvefvttrFmzBiKC++67D48//jjvGkd+YxBMRERERJbDnGAiIiIishwGwURERERkOQyCiYiIiMhyGAQTERERkeUwCCYiIiIiy2EQTERERESWwyCYiIiIiCyHQTARWdLWrVu93uRAa9u3b8fRo0eD/j5EROQfBsFEZDmHDx/GqFGjQnI3szNnzuBnP/sZ7HZ70N+LiIh8xyCYiCznN7/5DXJzc0Nyu+wHH3wQZWVlWLlyZdDfi4iIfMcgmIhMq7y8HCtXrsR3333nNnzjxo3Yvn2713EKCwuxatUqjBs3zjUsLy8P+fn5bvX27NmDzz77zPV8x44d+PLLL3HlyhVs27YNf/vb33D58mUAwOXLl7FhwwZ88sknqKio8HjPhx9+GPPnzw9wKYmIKBha6D0DRESBio2Nxd/+9jf87ne/w1dffQWbzYZ169bhgQcewLZt27yOs379enTo0AHdu3d3DZs1axa6deuGm2++2TXsL3/5Cw4cOIC77roLALBgwQLs3r0bpaWlyMrKwrfffouSkhLMnj0bL7/8Mm644QZ88803aNmyJXbs2IHY2FjXtAYNGoTp06fj4sWLSEpKCtLaICIif7AlmIhMbf78+bhy5QqeffZZnD17FuPHj8dLL72E/v37e62/e/duZGVlBfRex44dw6ZNm7Bu3Trs378fNpsN//Ef/4FPPvkE69atw759+3D27FmsWLHCbbwbb7wRdrsdu3btCuh9iYhIe2wJJiJTi4+Px/Lly3HXXXfh448/RmZmJqZNm9Zo/QsXLgScC/yjH/0ImZmZAIDo6Gj07dsXERERyMjIAAC0bNkSffr0wTfffOM2XkJCAiIjI3HhwoWA3peIiLTHIJiITC8nJwf33nsv1qxZg507dyIyMrLRunFxcTh//nxA79MweLbZbIiLi/MY1jAvuKKiArW1tYiPjw/ofYmISHtMhyAi09u6dSvWrVuHHj16YMaMGU3WzczMxPHjxz2Gi4jb8+rqas3mz/l+PXr00GyaRESkDoNgIjK14uJiPProo3jmmWewbt06fPbZZ1iwYEGj9QcPHoxDhw6huLjYbfixY8fcnjfsLUKN7du3Iy0tze1iPCIi0heDYCIytYkTJ6J9+/aYPn06unTpgnnz5mHq1Kk4fPiw1/r9+vVDdna2R7+927Ztw6RJk7B48WKMHTsWR44cwddff428vDzV87hy5Urk5uaqng4REWmHQTARmdahQ4cQERGB5cuXIyoqCgAwduxYTJ06FWvWrGl0vBdffBFvvPGG213cxo0bh549e+KLL75A//79kZ+fj+HDh+PUqVMAgAEDBiAnJ8dtOrfffrtHLxQDBw5E37593eZxz549eOKJJ1QvLxERaUeRholwREQW8PTTT+ORRx5Bnz59MHz4cHTr1g2vv/665u+zaNEixMXF4aGHHtJ82kREFDj2DkFEljRnzpyQvM+ECRNC8j5EROQfBsFEZHkDBw5E+/bt9Z4NIiIKIaZDEBEREZHl8MI4IiIiIrIcBsFEREREZDkMgomIiIjIchgEExEREZHlMAgmIiIiIsthEExERERElsMgmIiIiIgsh0EwEREREVkOg2AiIiIispz/Bzw8Zn8TwYWDAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "objects, device, device_config = executed[float(FREQUENCIES[1])]\n", "ex = np.asarray(device.fields.E[0])\n", "ex_xz = ex[:, ex.shape[1] // 2, :]\n", "fig, ax = plt.subplots(figsize=(8, 5.2))\n", "image = ax.imshow(np.abs(ex_xz).T, origin=\"lower\", cmap=\"magma\", aspect=\"auto\", extent=(-PERIOD / UM / 2, PERIOD / UM / 2, -LZ / UM / 2, LZ / UM / 2))\n", "ax.set(xlabel=\"x (µm)\", ylabel=\"z (µm)\", title=\"Executed |Ex| at 0.6 THz\")\n", "fig.colorbar(image, ax=ax, label=\"|Ex|\"); plt.show()" ] }, { "cell_type": "markdown", "id": "51c3d1d3", "metadata": {}, "source": [ "## 5. Reflection, transmission, and absorption" ] }, { "cell_type": "code", "execution_count": 6, "id": "aa3ba84e", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:45:23.995843Z", "iopub.status.busy": "2026-08-16T19:45:23.995713Z", "iopub.status.idle": "2026-08-16T19:45:24.118861Z", "shell.execute_reply": "2026-08-16T19:45:24.118327Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ], "text/plain": [ " frequency_THz R T A R+T+A\n", "0 0.5 0.117592 0.735854 0.146554 1.0\n", "1 0.6 0.027566 0.024862 0.947572 1.0\n", "2 0.7 0.324380 0.499590 0.176031 1.0" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "frequencies_thz = FREQUENCIES / THZ\n", "golden = np.load(\"benchmarks/goldens/device_metasurface_absorber.npz\", allow_pickle=True)\n", "fig, ax = plt.subplots(figsize=(8.5, 4.7))\n", "for name, values, color in ((\"R\", R, \"#087d83\"), (\"T\", T, \"#d29b00\"), (\"A\", A, \"#8221a8\")):\n", " ax.plot(frequencies_thz, values, \"o-\", color=color, label=f\"FDTDX · {name}\")\n", " ax.plot(frequencies_thz, golden[name], \"x--\", color=color, alpha=0.65, label=f\"Tidy3D · {name}\")\n", "ax.set(xlabel=\"frequency (THz)\", ylabel=\"power fraction\", title=\"Periodic-cell power balance\", ylim=(-0.05, 1.05))\n", "ax.grid(alpha=0.25); ax.legend(ncol=2); plt.show()\n", "pd.DataFrame({\"frequency_THz\": frequencies_thz, \"R\": R, \"T\": T, \"A\": A, \"R+T+A\": R + T + A})" ] }, { "cell_type": "markdown", "id": "52df9df0", "metadata": {}, "source": [ "## Reproduce\n", "\n", "The empty-cell run is essential: it makes source amplitude and finite grid area cancel from R and T." ] }, { "cell_type": "code", "execution_count": 7, "id": "d27d7be1", "metadata": { "execution": { "iopub.execute_input": "2026-08-16T19:45:24.120470Z", "iopub.status.busy": "2026-08-16T19:45:24.120295Z", "iopub.status.idle": "2026-08-16T19:45:24.122876Z", "shell.execute_reply": "2026-08-16T19:45:24.122404Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "uv run fdtdx-bench run --case device_metasurface_absorber\n" ] } ], "source": [ "print(\"uv run fdtdx-bench run --case device_metasurface_absorber\")" ] } ], "metadata": { "fdtdx_execution": { "executed": true, "working_directory": "repository root" }, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.13" }, "mystnb": { "execution_mode": "off" } }, "nbformat": 4, "nbformat_minor": 5 }