{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Point collocation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Point collection method is a broad term, as it covers multiple variation, but\n", "in a nutshell all consist of the following steps:\n", "\n", "1. Generate samples $Q_1=(\\alpha_1, \\beta_1), \\dots, Q_N=(\\alpha_N, \\beta_N)$ that corresponds to your uncertain\n", " parameters.\n", "2. Evaluate model solver $U_1=u(t, \\alpha_1, \\beta_1), \\dots, U_N=u(t, \\alpha_N, \\beta_N)$ for each sample.\n", "3. Select a polynomial expansion $\\Phi_1, \\dots, \\Phi_M$.\n", "4. Solve linear regression problem: $U_n = \\sum_m c_m(t)\\ \\Phi_m(\\alpha_n,\n", " \\beta_n)$\n", " with respect for $c_1, \\dots, c_M$.\n", "5. Construct model approximation $u(t, \\alpha, \\beta) = \\sum_m c_m(t)\\ \\Phi_n(\\alpha, \\beta)$\n", "6. Perform model analysis on approximation $u(t, \\alpha, \\beta)$ as a proxy for the real\n", " model.\n", "\n", "Let us go through the steps in more detail." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generating samples\n", "\n", "Unlike both [Monte Carlo integration](./monte_carlo_integration.ipynb) and\n", "[pseudo-spectral projection](./pseudo_spectral_projection.ipynb), point\n", "collocation method does not assume that the samples follows any particular\n", "form. Though traditionally they are selected to be random, quasi-random,\n", "nodes from quadrature integration, or a subset of the three.\n", "For this case, we select the sample to follow the Sobol samples from [Monte\n", "Carlo integration](./monte_carlo_integration.ipynb), and optimal quadrature\n", "nodes from [pseudo-spectral projection](./pseudo_spectral_projection.ipynb):" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:54.037842Z", "iopub.status.busy": "2021-05-18T10:56:54.037481Z", "iopub.status.idle": "2021-05-18T10:56:56.457987Z", "shell.execute_reply": "2021-05-18T10:56:56.457627Z" } }, "outputs": [], "source": [ "from pseudo_spectral_projection import gauss_quads\n", "\n", "gauss_nodes = [nodes for nodes, _ in gauss_quads]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The number of Sobol samples to use at each order is arbitrary, but for\n", "compare, we select them to be the same as the Gauss nodes:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:56.460095Z", "iopub.status.busy": "2021-05-18T10:56:56.459791Z", "iopub.status.idle": "2021-05-18T10:56:56.499541Z", "shell.execute_reply": "2021-05-18T10:56:56.499781Z" } }, "outputs": [], "source": [ "from monte_carlo_integration import sobol_samples\n", "\n", "sobol_nodes = [sobol_samples[:, :nodes.shape[1]] for nodes in gauss_nodes]" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:56.502254Z", "iopub.status.busy": "2021-05-18T10:56:56.501927Z", "iopub.status.idle": "2021-05-18T10:56:56.628677Z", "shell.execute_reply": "2021-05-18T10:56:56.628338Z" } }, "outputs": [ { "data": { "image/png": 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U2tjYOM0GrF+9otRVL0SketRRFhGRymutdDB3ZLjPEdVLmctkisyEOsoiIiIybe3K8117znKaDdRZlsrTGGURERGZtnbl+dbcoPJ8EgZ1lEVERGTaVJ5PQqaOsoiIiEybyvNJyNRRFhERkWlrV57v2nNUnk/CoAFEIiIiMm3tyvOp6kV5qCLJzKijLCIiIjPSWp5PykEVSWZOQy9EREREAqSKJDOnjrKIiIhIgFSRZObUURYREREJkCqSzJw6yiIiIiIBUkWSmdMgFREREZEAqSLJzKmjLCIiUnIq8SXTpYokM6OOsoiISImpxJdI/1RyjHKjMUhzXpMlR82nOa9JozHY75B6KsR8Q8oppFxSIebUSd3ylWpRiS+R/qncp6xuv6xDzDeknELKJRViTp3ULV+pnk4lvnQ4XaS3KrdHuW6/rEPMN6ScQsolFWJOndQtX6kelfgS6Z/KdZTrVjw7xHxDyimkXFIh5tRJ3fKV6lGJL5H+qVxHuW6/rEPMN6ScQsolFWJOndQtX6mesbFxmtFh1q9ewc+vPIP1q1fQjA5raFABsucvjI4f1vkLNVS5jnLdflmHmG9IOYWUSyrEnDqpW75STWNJea9dD+9n9NFRdZILkJ6/cN6GLRy/9hb+7Iv3MOoG1FmuGRdFUb9jYOfORyYNYmRkmD17Dhwxr2z1JNvFOJtmK99exzkVnXIqU5yTycZYtvdj1nS3ZZE5leH1zpNvpziXLl3gioizLFrb7DK8hq0UUz5ljAnKEVdzXpPzNmxh87ZdE/NWPmsJ61evKM1JlGXYTq2qENNU2uxcZ6t4708DXgc8BERmdnmbZc4GPgisMbObMvP/CjgWeBh4DvA2M3ssb4Dt1K14doj5hpRTSLmkQsypk9DyLVubLVJFqjYikGPohfd+GPgMcLGZrQNO8N6valnmOOIG+YGW+ccAfw28w8zeD8wjbrxFRKQH1GaLzA6dvyCQb4zySuB+M0t/Pt0FnJldwMy2m9ntbdY9AIwBC5Pp+cBPpxmriIh0pzZbZBbo/AWBfEMvjgYeyUzvS+Z1ZWb7ksN4X/bePwj8CvhF63KLFs3FufbDRQYHBxgZGc7zdH1ThRhBcc6mKsQI1YizCjFCdeKkD212GbeNYsqnjDFBeeIaBj775hMZbs7hwOg4zcH4fT/c/9CA8mynrNBiytNRfghYkJlemMzrynu/HPgrYIWZHfLefwS4DLgku9zevZMPfyvjoPBWVYgRFOdsqkKMUI04qxAjdD2Zr+BoOiq8zS7ja6iY8iljTFC+uB57ZPZims2Tpcu2naAaMU2lzc4z9GIzsMx730ymTwZu9t4v9t4v7LAewNOB3WaWHqd4EHhK7uhERGSq1GaLlFRrybnzNmxRybmS69pRNrMDwPnAdd77K4B7zWwjcClwAYD33nnv3wssA8723p+erP4t4Kfe+494798HnAT8TQ/yEBER1GaLlJkbmsOaG7ayedsuDh2O2LxtF2tu2IobylWETPqgknWUy6YKMYLinE1ViBGqEWcVYgTVUc5SHeXpUUz5TRZXP+vWz8a2WnLUfI5fewuHDj/xEZoz4Pj5lWew6+H9fYlptlUhpqm02ZW7Mp+IiIjUTwjDFlRyrnrUURYREZHSC2HYgkrOVU913l0iIiLSVj+HJBQlhCvljY2N02zA+tUrgn6tQqI9yiIiIhUWwpCEPEIZtjA2Ns7oo6Pseng/o4+OqpNccuooi4iIVFgIQxLy0LAF6YewPkUiIiI1E8KQhDw0bEH6QXuURUREKiyUIQl5aNiCFE0dZRERkQrTkASR3tHQCxERkQrTkASR3lFHWUREpOLGxsYhGZYwG+pQbk4kD3WURUREZEJabm7Nhi3cvWM3Jx27mGvPWU6zgTrLUjsaoywiIiIT6lJuTiQPdZRFRERkQqdycyJ1o46yiIiITKhTuTmRbtRRFhERkQkqNyfyBA04EhERkQkqN9d/qjpSHuooi4iIyBFmu9yc5KeqI+WioRciIiIiJaGqI+WijrKIiIhISajqSLmooywiIiJSEqo6Ui7qKIuIiIiUhKqOlIsGvIiIiIiUhKqOlIs6yiIiIlJbZSzFpqoj5aGOsoiIiNSSSrFJNxqjLCIiIrWkUmzSjTrKIiIiUksqxSbdqKMsIiIitaRSbNKNOsoiIiJSSyrFJt1oEI6IiMgUlbFSgkydSrFJN+ooi4iITIEqJYRFpdikk0oOvWg0BmnOa7LkqPk05zVpNAb7HVJPhZhvSDmFlEsqxJw6qVu+MjOqlCBSH5X7VNftl3yI+YaUU0i5pELMqZO65Ssz16lSgvZKioSlcnuU6/ZLPsR8Q8oppFxSIebUSd3ylZlTpQSR+qjcN0HdfsmHmG9IOYWUSyrEnDoJMV/v/WnA64CHgMjMLm+zzNnAB4E1ZnZTZr4HzgUeA14OrDOzHxUSeEWklRLW3LD1iKMQqpQgEp5cHeUyNbrpL/nN23ZNzAv5l3yI+YaUU0i5pELMqZPQ8vXeDwOfAZ5nZqPe+xu996vMbGNmmeOI2/MHWtYdBD4K/JGZHfbefxFQ76+FKiWI1EfXoReZRvdiM1sHnOC9X9WyTLdG9wNm9iHgbcD2mQRct5qHIeYbUk4h5ZIKMadOAsx3JXC/maW7w+8CzswuYGbbzez2NuueBDjgHd77vwb+CHi4l8FW1VhSJWHXw/sZfXRUnWSRAhV5AnaePcqTNboTeyfMbDuw3Xv//pZ1s43uMLAL+OxMAq7bL/kQ8w0pp5BySYWYUycB5ns08Ehmel8yL49lxG3+uWa213u/ARgDrs8utGjRXJxzE9ODgwOMjAzPJOZZp5jyKWNMUM64FFM+RcS05/GDXJg5Afu6c5czMtLsSUx5OsqFN7pZnZIbP3SYuUODMDTIcB/fJ0W9UWeabxk/UO1yKmOcrdrFWJb3Y9ZMt2UROZXp9e6Ub5ni7OIhYEFmemEyL499wH1mtjeZvhM4hZY2e+/ex45YaWRkmD17Dkwj1N5RTPmUMSYoZ1yKKZ9ex9Sc1+TCL22dGC63edsuLvzSVtavXjHpeSWtMS1duqDtcu3k6SgX3uhmlfFN0KoKMYLinE1ViBGqEWcVYoTOcU6l0S3AZmCZ976ZHAk8GfiU934xcMjM9nVY94fAEu/9oJmNE+/s+HnvQxYRyafoE7DzlIebaHST6ZOBm733i733C7usO9HoJtNqdEVEesjMDgDnA9d5768A7k1O5LsUuADAe++89+8lbpPP9t6fnqy7G3g38HHv/WXAUuBjfUhDRKStosszuiiKui7kvX8l8AZgJ3DQzC733l8N7Dazq7z3DlhLfLLencAGM7s1Wfcs4BXJus8E3mFmR+xC3rnzkUmDqMLepirECIpzNlUhRqhGnFWIEbruUW4/dixQrW12GV9DxZRPGWOCcsalmPLpdUwTF4lqKc/YjA5Pem5Jm6EXudvsXOXhzOw24LaWeZdkbkfAFclf67pfB76eNyAREREJQ6MxiBuaE8qJslICRZ+AXbkLjoiIiEj56fLw0itjY+OQlGjstcpdwlpERETKT5eHlxCooywiIiKzrlN1ApGqUEdZREREZl3R1QlEekEdZREREZl1AV4eXmpIA4VERKSnVPmgngK8PLzUkDrKIiLSM6p8UG9FVicQ6QUNvRARkZ5R5QMRqTJ1lEVEpGdU+UBEqkwdZRER6RlVPiiXRmOQ5rwmS46aT3Nes9/hiJSeOsoiItIzqnxQHul48fM2bOH4tbdw3oYt7Hn8II3GYL9DEyktDRITEZGeUeWD8nBDc1izYQubt+0CYPO2XVz4pa2sX70C9HqItKWOsoiI9JQqH5RDp/HiZXlt0lKCg3MGaM5r6keV9J2GXoiIiNRA2ceLtxsaMuoGNDRE+kodZRERkRpoN178unPLM15cpQSljPTuExERqYF248XnDg2yZ8+BfocGVGNoiNSP9iiLiIjUxFgyVnzXw/tL1/ks+9AQqSd1lEVERKTvVEpQykhDL0REpPbSagsqYdc/KiUoZaSOsoiI1FpabWHNhi3cvWM3Jx27mGvPWU6zgTppBUtLCc4dGizd0BCpJw29EBGRWlO1BRGZjDrKIiJSa52qLYhIvamjLCIitaZqCyIyGXWURUSk1lRtQUQmowFYIiJSa6q2ICKTUUdZRERqL622oEoL1aGSflIEdZRFRESkUlTST4qiMcoiIiJSKSrpJ0VRR1lEREQqRSX9pCjqKIuIiEilqKSfFEUdZREREakUlfSTomgwj4iIiFSKSvr1liqKPEEdZREREakclfTrDVUUOZI6yiIigfHenwa8DngIiMzs8jbLnA18EFhjZje13DcX+CHwbTN7VwEhi0hJuKE5rNmwhc3bdgFMVBRZv3oF1LCjrDHKIiIB8d4PA58BLjazdcAJ3vtVLcscR9yJfmCSh7kC+N+9jFNEykkVRY6Ua4+y9k6IiFTGSuB+M0uPR98FnAlsTBcws+3Adu/9+1tX9t6/KVnnBGB+78MVkTJJK4qke5Sh3hVFunaUM3snnmdmo977G733q8xsY2YZ7Z0QESmHo4FHMtP7knldee+fC/yOmb3He3/CZMstWjQX59zE9ODgACMjw9MMtzcUUz5ljAnKGVedYrru3OVc+KWtE2OUrzt3OXOHBpmb47lC20559ihr74SISHU8BCzITC9M5uVxFvC49/5S4CVAw3t/kZl9PLvQ3r2PHbHSyMgwe/YcmHbAvaCY8iljTFDOuOoUU6Mx+KSKInmfpwrbaenSBR2WPlKejnLheyeyyvjLpFUVYgTFOZuqECNUI84qxAjViRPYDCzz3jeTHRwnA5/y3i8GDpnZvslWNLMr09ve+6cA81s7yVJvKhtWD6oo8oQ8HeXC905ktftlUrYPaq9/Pc1WvmX6ldcppzLFOZlsjGV7P2ZNd1sWmVMZXu88+XaKcyp7J3rNzA54788HrvPe7wTuNbON3vurgd3AVd57B6wFlgFne+8Pmtmt6WN4718PvIy4zT7XzL7Uh1SkZFQ2TOooT0e5VHsn6vZBDTHfkHIKKZdUiDl1EmK+ZnYbcFvLvEsytyPic0eumGT9G4EbexmjVI/KhkkddS0PZ2YHgHTvxBUkeyeAS4ELALz3znv/Xp7YO3F69jEyeyde7L0/dyYBu6E5rLlhK5u37eLQ4Wjig+qGwiwJHWK+IeUUUi6pEHPqpG75ikyXyoZJHeX6JijT3olOH9QQx9KEmG9IOYWUSyrEnDqpW74i06WyYVJHlbvgSPpBzQr5gxpiviHlFFIuqRBz6qRu+YpMV3TwENees5yVz1rCnAHHymct4dpzlhMdPNTv0ER6pnId5bp9UEPMN6ScQsolFWJOndQtX5HpGhsbpxkdZv3qFfz8yjNYv3oFzehwZcfyz1SjMUhzXpMlR82nOa9JozHY75CkByo3CG9sbJxmgyfV9wv1gxpiviHlFFIuqRBz6qRu+YrMhMqGxUI8CVjaq1xHGer3QQ0x35ByCimXVIg5dVK3fEVkZlQBpD4qN/RCREREpJ9UAaQ+1FEWERERmQKdBFwf6iiLiIiITIFOAq6PSo5RFhEREekXnQRcH+ooi4iI9FmjMYgbmqNOV4XoJOB6UEdZRESkj1RqTKS8NEZZRESkj9zQHNbcsJXN23Zx6HA0UWrMDWlflki/qaMsIiLSRyo1JlJe6iiLiIj0kUqNiZSXOsoiIiJ9pFJjIuWlAVAiIiJ91OtSY6qoITJ96iiLiIj0Wa9KjamihsjMaOiFiIhIoFRRQ2Rm1FEWEREJlCpqiMyMOsoiIlJKjcYgzXlNlhw1n+a8Jo3GYL9DqhxV1BCZGXWURUSkdNKxtedt2MLxa2/hvA1bGHUD6ixPkSpqiMyMBimJiEjpuKE5rNmwhc3bdgFMjK1dv3oF6CS03HpdUUMkdOooi4hI6XQaWzvblSFC16uKGjI5leQLh4ZeiIhI6WhsrVSVhg2FRR1lEREpHY2tlapSSb6w6FUTEZHS0dhaqSoNGwqL9iiLiEgpjSXjanc9vJ/RR0fVSZZK0LChsKijLCIiIjJLNGwoLBp6ISIiIjJLiho21GgMMjp+mCVHzdfQpB5SR1lERERkFvW6JF9aWWPNF+/h7h27OenYxVx7znKaDdRZnmUaeiEiIiJSIaqsURx1lEVEREQqpFNlDZld+ukhIhIY7/1pwOuAh4DIzC5vs8zZwAeBNWZ2UzLv2cAVwBbgGcAuM/tAYYGLSC5pZY30Eu+gyhq9oj3KIiIB8d4PA58BLjazdcAJ3vtVLcscR9yJfqBl9cXADWZ2jZmtAc7x3p9YQNgiMgWqrFEc7VEWEQnLSuB+M0vPIroLOBPYmC5gZtuB7d7792dXNLO7Wx5rAHi0h7GKyDSklTU+++YTGW7OUdWLHsrVUdZhPBGRyjgaeCQzvS+ZNyXe+7OAW83svtb7Fi2ai3NuYnpwcICRkeFphNo7iimf0fGIJUfN58DoIZqD5TnIXMZtVdaYxg8dZu7QIAwNMlyC8Mq6naYbU9eOcuYw3vPMbNR7f6P3fpWZbcws0+0w3jeS5X7mvb/ZzO6ZVrQiItLNQ8CCzPTCZF5u3vtTgVOBi9rdv3fvY0dMj4wMs2fPgSkF2WuKqbOJ8mI3bD2yvFh0uBR7Jcu0rVKKKZ8qxLR06YIOSx8pz8/HyQ7jTTCz7WZ2e+uKZnZ32knOPJ8O44mI9M5mYJn3vplMnwzc7L1f7L1f2G1l7/2ZwOnAGuAY7/3K3oUq/aLyYiL55PlEFH4YL6uMu/BbVSFGUJyzqQoxQjXirEKMUJ04zeyA9/584Drv/U7gXjPb6L2/GtgNXOW9d8BaYBlwtvf+oJndmpy492Xgx8DtwDzgk8SdbwlIp/JivbpIhkgV5ekoF34YL6uMu/BbVSFGUJyzqQoxQjXirEKM0DnOqRzGK4KZ3Qbc1jLvksztiPj8kStalrkHmF9EjNJfKi8mkk+eoRc6jCciIhIQlRcTyafrHmUdxhMREZm+RmMQNzSHwTkDNOc1S1HGS+XFRPLJNWq/bIfx0kZn/tyhWny4Q8w3pJxCyiUVYk6d1C1fKc5EdYkNW46sLtGg7++xsbFxRoab7Hp4f1/jECmz8hRNzCltdM7bsIXj197CeRu2MOoGaDQG+x1aT4SYb0g5hZRLKsScOqlbvlIsVZcQqbbKdZTr1uiEmG9IOYWUSyrEnDqpW75SrE7VJULVaAzSnNdkyVHzac5r6kenVFrlOsp1a3RCzDeknELKJRViTp3ULV8pVlpdIivk6hI6QiOhqVxHuW6NToj5hpRTSLmkQsypk7rlK8WqW3UJHaGR0FSuo1y3RifEfEPKKaRcUiHm1End8pVijY2N04wOs371Cn5+5RmsX72iNJeJ7gUdoZHQVO4nXlrSZv3qFbU4Qz3EfEPKKaRcUiHm1End8pXijY2Nw9g4c4cGg7/qXZkvZKLqNjIdlesowxONTugNTirEfEPKKaRcUiHm1End8hXplfQIzZobth5RDq/fR2jKXKZPyq2SHWUREREpn7IeoXFDc1izYcvEnu507PT61StAHWXpQB1lERERmTVlPELTaex0meKU8qncyXwiIiIiU6HqNjJd6iiLiIhI0FTdRqZLQy9ERESkUEVXoCjr2GkpP3WURUREpDD9qkBRxrHTUn4aeiEiIiKF0dX7pErUURYREZHC6Op9UiXqKIuIiEhhVIFCqkQdZRERESmMKlBIlWhAkIiIiBRGFSikStRRFhERkUKpAkXYii7/10vqKIuIiIjIrOlH+b9e0RhlEREREZkVo+OHgyr/p46yiIiIiMyK4eacoMr/qaMsIiIiIrPiwOihoMr/qaMsIiIiIrOiOTgQVPm/ag4YERERkVoIqYJCXTSjw8GU/1NHWUREREqp0RgMqoJCXYRU/k9DL0RERKSU3NCcoCooSPVU8p1Wt8MwIeYbUk4h5ZIKMadO6pavSFXMnzs0aQWFEPZWgtqfsqvcHuX0MMx5G7Zw/NpbOG/DFkbdAI3GYL9D64kQ8w0pp5BySYWYUyd1y1ekSvY/djCoCgqt1P6UX+U6ynU7DBNiviHlFFIuqRBz6qRu+YpUSXTwUFAVFFqp/Sm/yr0SdTgMkxViviHlFFIuqRBz6iTEfL33pwGvAx4CIjO7vM0yZwMfBNaY2U1TWVekKGNj4zQbBFNBoVWI7U9oKrdHOfTDMK1CzDeknELKJRViTp2Elq/3fhj4DHCxma0DTvDer2pZ5jjijvADU11XpGhjSfWEXQ/vZ/TR0WA6yRBe+xOiynWUQz8M0yrEfEPKKaRcUiHm1EmA+a4E7jezdHfUXcCZ2QXMbLuZ3T6ddUVk9gTY/gSnckMvQj8M0yrEfEPKKaRcUiHm1EmA+R4NPJKZ3pfM6/W6IjJFAbY/wcnVUS7beLeQClnnEWK+IeUUUi6pEHPqJLB8HwIWZKYXJvNmbd1Fi+binJuYHhwcYGRkeOqR9pBiyqeMMUE54+p1TOOHDjN3aBCGBhnO+TR13E7TMZOYunaUM2PWnmdmo977G733q8xsY2aZbuPdJl1XRERm1WZgmfe+mQyhOBn4lPd+MXDIzPZNdd3WhfbufeyI6ZGRYfbsOTBrCcwGxZRPGWOCcsalmPKpQkxLly7osPSR8oxR1ng3EZGKMLMDwPnAdd77K4B7k50TlwIXAHjvnff+vcAy4Gzv/eld1hURqaU8Qy803k1EpELM7DbgtpZ5l2RuR8AVyV/XdUVE6ipPR7nw8W5ZZRzr0qoKMYLinE1ViBGqEWcVYoTqxCkiIrMnT0e58PFuWWUc69KqCjGC4pxNVYgRqhFnFWKEznFOZbybiIhUh4uiqOtC3vtXAm8AdgIHzexy7/3VwG4zu8p774C1wNuAO4ENZnbrZOv2JhURERERkdmTq6MsIiIiIlI3lbsyn4iIiIhIEdRRFhERERFpoxSXsO529b7kgiYfBu4GlgP/YGb/1Ic4jyEup/QCMzupzf0DxFcnfAQ4Fvi8mf2gZDG+FXgx8EtgBfAJM/t+kTEmcXSMM7Pcy4GNwHIz+9ei4ss8f9c4vfdvAZYkfy8ws9cUGGKe1/w3gPXAT4DjgTvN7LMFx/jsJMYtwDOAXWb2gZZlnkL8Of8P4DnAVWb28xLG+W7gGOBB4PeBy8zsviLj7Iecn4XTiF/Dz5nZ3/Y7pn61dzniOgW4kPiE9xOA75rZ5/oZU2a5wtrcnNvp48CeZNbNZnZNP2NKlim0zc+xndYBrwQOJrOOB95oZpv6GFPh3zs5YloMfAS4j/g75h/M7DvdHrfve5QzV++72MzWASd471e1LHYJ8Ua+CvgQcaL98BLgG0D7WnbwJ8BCM7sSeDfwRe/9YFHBJbrF+HTgoqSx+TjxG7kfusWJ9/5o4GzgV0UF1UbHOL33LwWWmdlHzWwt8J4ig0t025ZvBx5M3pcXAZ9IftQVaTFwg5ldY2ZrgHO89ye2LHMR8O9m9jfAx4DPFxwj5ItzPvBOM7sauBHo6Rd3iXT7LCwERoCtxYVU2vauW1xziX8IXkPcYf7bAj6TZWxzu8ZE/PqdkvwV8VkrY5vfbTv9GPhDMzsFeAVx5/S7fY6pH9873WK6jPgiSh8C/oq4j/aUbg/a944y+a7e9/+ApcntpcA9BcV2BDP7GkdeQKXVmcR7CDCz3cDjwPMKCG1CtxjN7EozezyZHAD2FxLYk+PoGGdm7/zawoJqI8dr/l+BAe/9Gu/9B4GifxjlibH187PVzA73PLAMM7vbzL6RmTUAPNqyWPbz8y/AC5LOV2HyxGlm70su2JHe35fPUNFytC37kmUKU9b2Lkdct5jZj5LJ34pn9fYzWcY2N0fbBfAm7/27vPcf8N7/ZgliKrzNz/F+usnM0nbqtcR73ntaqaGM3zs5YnoO8O/Jsv8JNIHnd3vcMnSU81y976PAi7z3HyX+RfCFgmKbqspciTAp6bcGeGe/Y5nEpcBnkzdzmS0Dnmlm1xIfcv56csipTDYADe/9p4C/o00t8yJ5788Cbm0zXKFUn58Ocab3N4C3AO8tNDCZsrK2d977y4BPAuf1OxbK2eb+DPjvZvZh4MvAbX04Gtaq7G3+W4Dr+x0EJfveSdxJPBQrHWa3hPhCeB31+w0H+a7edz3xmLd3AmcBX07GmpTNTK5iWJjkS+Ma4Hoz29zveFolh0KeD5zqvb8UWAS8rc2QnDLYB/wQJo4i/Bp4QV8jerKrgXvM7ALgDOBK732hRzpS3vtTgVOBi9vcXZrPT5c4007yp4G1ZvbLImOTqSlze5eMfz8D+Goy7KEvytrmmtlDZrYjuf1T4qE9Pd+r3EVp23zv/XLgF2ZWhqNcpfneyfgw8JD3/l3EY7p/RrKHuZMydJQnrt6XTJ8M3Oy9X5w57PqbxCfOAPwncJhyxI73fp73Pj28cDPxUJJ00PhTgJ/2K7ZUNsZkzPS1wD+b2be896/vb3RPSOM0s8fN7I1mdlUyLn0v8YmRG/sdIzzpNd8IPCuZP0B8kte2fsWWaolx4vNjZo8Rb8/mZOv2MKYzgdOJ9+wd471f2fI5z35+fhf4iXW+8mdf4kzOq1gPfNTM7inTZ6hoLe+zUihre9cS1/ne+/nJXbuBQ/Th6EkZ29yW7XRpulMs+d8gPqTft5goSZs/yWfvL4Gen0Q7mZJ+72RjeirwhcwRigfN7BfdHqPvVS/M7ID3/nzgOu/9TuKB1ht9cuU/4CrivToXee//ADgOeI+ZPVx0rMnZwG8Cnua9fy/xSYVvBX4X+HPgK8Dvee/fDzwTeLOZjZcsxmuAPyY+aRLg2cQnJBUqR5x474eIT4pcBLzde/8ZM/tZyeK8HvhQct/TgXVm1vUXasExXgZc4b1/BvGX8dfMbEvBMZ5I3DD9GLgdmEd8yPksnvicXwt8OMnht4iv9FmonHFuIN77dlzyGZpHHz5DRcv5mb2QuIrDEu/9TjP7cp9j6kt7lyOuMeKTm4z4O+0LBVSYKF2bmyOm7cC13vufAc8l/k59fJKHKyqm6ym4zc/52j0VeIqZ3d/LWKYQU+HfOzliei7wDu/994HfIOd3jK7MJyIiIiLSRimGL4iIiIiIlI06yiIiIiIibaijLCIiIiLShjrKIiIiIiJtqKMsIiIiItKGOsoiIiIiIm2ooywiIiIi0oY6yiIiIiIibfx/U+IRBe01/+cAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot\n", "\n", "pyplot.rc(\"figure\", figsize=[12, 4])\n", "\n", "pyplot.subplot(121)\n", "pyplot.scatter(*gauss_nodes[4])\n", "pyplot.title(\"Gauss quadrature nodes\")\n", "\n", "pyplot.subplot(122)\n", "pyplot.scatter(*sobol_nodes[4])\n", "pyplot.title(\"Sobol nodes\")\n", "\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Evaluating model solver\n", "\n", "Like in the case of [problem formulation](./problem_formulation.ipynb) again,\n", "evaluation is straight forward:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:56.631028Z", "iopub.status.busy": "2021-05-18T10:56:56.630704Z", "iopub.status.idle": "2021-05-18T10:56:56.641626Z", "shell.execute_reply": "2021-05-18T10:56:56.641308Z" } }, "outputs": [], "source": [ "import numpy\n", "from problem_formulation import model_solver\n", "\n", "gauss_evals = [\n", " numpy.array([model_solver(node) for node in nodes.T])\n", " for nodes in gauss_nodes\n", "]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:56.643797Z", "iopub.status.busy": "2021-05-18T10:56:56.643479Z", "iopub.status.idle": "2021-05-18T10:56:56.654444Z", "shell.execute_reply": "2021-05-18T10:56:56.654149Z" } }, "outputs": [], "source": [ "sobol_evals = [\n", " numpy.array([model_solver(node) for node in nodes.T])\n", " for nodes in sobol_nodes\n", "]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:56.656937Z", "iopub.status.busy": "2021-05-18T10:56:56.656618Z", "iopub.status.idle": "2021-05-18T10:56:56.800760Z", "shell.execute_reply": "2021-05-18T10:56:56.800476Z" } }, "outputs": [ { "data": { "image/png": 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pA10IVlpDzm/2eHOlRc9VaRAKhULx/WS+lOal+RKmLmsz3lxp03MDpgspZospohjOb3YZ+qoFskKh+Gh4Kp1fQ9f43PExFitpANwgJIwiCimTjKXTGnhc2e7zxkqLFaUGoVAoFN9XKlmLl+eK5G0DJ4h4a7XNZtfl+FiGSsbED6UChNJrVygUHwXGRz2Ax6Wcsfj0kQpDv85G1yWfMnGCkHLKoO9HQMz1xpAgimk7Aacmspj6U+nrKxQKxT6q1eo08HPAi7Va7RP32P+zwI8CuzkGp4A/VavVXqtWq98EdpNvw1qt9sMfxJiiOObCZo9Tuk7K1HlxrsCV7T4bXZfaVo+um+LUZI531zr0vZDzmz2em8mjCfFBvL1CoVAciIc6v9Vq9TjSwL4BzAONWq32X951TAr4a8AqcBL4+VqtdumDH+6dHB/PstX18MM2212Xo+MZen5IJW3Sc0OyGY3lnSFBGNNzAk5P5SimzQ97WAqFQvH94LPAvwBeus/+7wK/UKvV+tVqVQN+Dfhysu83arXaz37QA9rqujT6Hu+ttVnKW1QyFqcmc+RTBlfrfdbaDn1XBiPe3+jSGvpc2e5zajL3QQ9FoVAo7stBQqEV4B/VarVfqNVqfx74N6rV6sfuOuYvADdrtdp/Dfx3wN/9YId5bzQheGWhyFIlTcbWWe+4pA2dnhtSyphEccxCMcVm16Xe93hnrcPN5lBpTSoUiqeeWq32y0D3Aft/tVar9ZOXfwT4tVqttmv8nq9Wq/9xtVr92Wq1+uMf1JimCynmdvN6N7o0B7K18UwhxQuzBWxdo+0EnN/osVhOownY6LoqPU2hUHxfeWjkt1arfeeuTRrQv2vbjwP/aXL8u9Vq9cVqtVqo1WqdD2aY9ydt6nxisUzXCdjsumx2HeZKaQZeSDFlMvRDFkoptvs+bhASA82BR3UyR8rUP+zhKRQKxZPATwM/uef1f1Or1b5drVZ14CvVarVbq9W+cvdJxWIa8YgpCa8U01yp97kJ3Oh6FIsZKlmLEjA1nue91Tatoc+mE7IwkaPel8+ndJ2JvP09TPH7g65rlEqZj3oYHwqHeW5wuOen5vZoPFLOb7Va/VeB36zVahfv2jXJnRGITrLtQ3d+AabyNi/MFvn2zSY9J6A18JnI2ThBRNY28MOIiZzFwAvZ6DhEsc0bK21OTmSZyD35xlahUCgel2q1+hJwpVar9Xa31Wq1byf/htVq9avAF4B9zm+7/WgRWS+IuLjV4+h0noIO6x2Xb9S2ODeTp5SknB0tWFzzA9baDt2eSxRFxAi+fdnjxbkCOfvJLkUplTK0WoezWcdhnhsc7vmpue1nYiJ/330HtjLVavULSAP5F+6xewvY+y6FZNsdPE4UAQ7m9X8yn8LTBO+stPHjmNjQyacMNAFZQ0cTUIzBCyMafQ87ZXCz5+PrOqcmcxgfUTGcult7ejnM81NzezqpVqtZIFOr1bb3bP73gL+655jTwA/UarXd9LSTwD//IN6/4/ijPN4TRZsohs2uy/vrXZ6byVNMm2hCcGI8S8E2uLzdB002KsrZOu+vd3lxrqBW5RQKxYfKgZzfJCfsc8CfB2aq1eoSUAOCJLXh14BXga9Wq9XngbfvlfLwqFGEXQ7q9R8r2KyldG42HVaDHjOFFClDw9VAExqWLh3vnC5otAYYuqDfd1nZ6nJ6Kkch9f0vhlN3a08vh3l+am77eVAU4aOgWq3+EDKVYaZarf4V4K8DPwM8D/zbyTFTQKpWqy3vObUD/Hi1Wp1FBipuAf/wgxjTeM5mdhjQDqXqw8tzBYhhs+fy3kaX52fyIzs7mbfJ2QYXNrtEsclK02GYjnh/o8uLs4WPLCChUCgOPwdRe/gY8I+RlcNfArLAfw/8q8AO8PPALwJ/LTHAJ4A/82EN+EEU0yYvzBYZ+jK6W++5zBbTGGhogBfGpA2Ngi2NqhdEDLwAMHh7tcNiOc1i+fGi0wqFQvH9pFarfZnb6g27/Pd3HbMJ/MRd29aAf+1DG5iI0YSgH0Rcrg84M5UjJmar5/HeepfnZwrkU/KnJ2PpvDRX5Mp2nziG640BAzdA1wQvzBaUBJpCofhQOEjB2+vAA3VoarXaEPh3P6hBfS/Ml1K0hlneXg3xw5h6z2W6mMLUNAwBwyBCCI3pnM1Gz8WMBV4YYWiC5eaQ1tBXxXAKhULxGGx0HNbaLqm0ycALqeOx3nGpTuaI4h71vse76x1emL2d26trgupUjmLaICbman3AmyttAF6cLahghEKh+MA5dOtKQghOT+U5NpYhBhDQ6Hv4UYyuaaQNjYEf0XJ8jlXSGJqGpWsIeShtJ+D1lTZbXfejnYhCoVA8ZUzmbSZzFrqmEUQRO32Pa40+fS/k9FSOsaxFEMW8s9bZ135+upDik4tlqpNZvDDi28tN3kicYIVCofggOXTOL4Cpa5ybKbBYTtN2AnQhaA98hn6IZWjkLB0niFhtu5yazJI2tVF0wdI1wijm4laPi5uq/aZCoVAclF0J9WLKpJAycYOItbbD+Y0OURRz5i4HuOP4d5yfsw0+c6TCC7MFohi+vdziG9d3iJQ2u0Kh+AA5lM4vyPzf6mSO+WKarZ6LrsPAC2k7AWlLp5gycMOIK/U+J8ezlNMmMeCHETlLRwO2eh6v32qzkwi1KxQKheL+bPdkG+PW0GO+mGKmmKLvhVza7nNxq4cmBGemcownDvC7613awzsdYEPXePVIhU8fKSOAt1Y7fPlKA8cPP5pJKRSKQ8ehdX5B5v8uVdKMZW22eh5CxARhxHbPI2cbVDImfhjz/maPuaLNYilNDPS8kIytk7V03DDivfUul7Z6BJGKPigUCsX9sAyN1tDn/FqHq/U+1YksRysZ+l7Id262uNEYoAnB6akcEzmLMIp5b2O/Awzw0lyRzx2vYOqC2laPr1xrsN1T6WgKheJ751A7v0IIqpM55oo2pqbRHsocsyiKWW075G2DycQAn9/skbV1zk3nMTRBzw0JooipnD1qwfnGrdY9jbRCoVAopIKOJgRtx+dKfcC3lpu8NF/k2FgGx4/4ncvbrLcd6QBP5kb29731Lq172NZzMwU+e7RCzja40Rjw1mqbS1s9QhWIUCgU3wOH2vkFmf97ZirPXEkuvw38EE1AHMcsN4fkbWPUi/7CZg8nCHllvkjO1nGDmO2+y2whRTbJE357rcO1Rl/loCkUCsVd5FMGR8cyHB3P4vohq22X37q4xSvzRZbKabwg5l9e2GSz44yCE1N5mzCOeX+9S2uw3wGuTuV4eb7IZM7mZnPIrdaQt1bb9L3gHiNQKBSKh/NEO7+XNnv8m//wDV6/0fierlNMm5wYz7JYSrPZdXHDCNuQU7/aGJCzDY5WZMenq/UBGx2Xl+aKTOdlh6KVtkPW1pkrpBDASsvhzZX2vmplhUKheJZJGTpRHJM2dU5OZEHENPo+X7xU58x0jtmChRvE/FZtm5XmACEEpyayTCcO8HsbHZp31ViIJEp8dCzDQinNRsel7fi8udJmveN8RDNVKBRPM0+08/u3vnKNza7HX/rn7/G7tS3i7yHaOl9KM1tKMVdMsdJyGPqysA3g0laPtKVzaiKLAG62hlzZ7nNyIsupiSyagK2uR9v1qSbqEH0v5M2VNss7AxUFVigUCkhycqV2uhPGHKtkKKR0dvo+b612mCmmmcia9NyQby63qG31iIGTE1lmCjLY8P5Gl0b/TgdY1wTnpvOMZS3miim6ToAfxlze7nN+Q6nyKBSKR+OJdn7/yu8/wVjWxPEj/oev3eB//c6t7ynaenIix0TOZixrsdZ26HthIqwOFze72IbG2ek8uhBsdF3Ob3SZyNm8NFckbWr03JAr9QFL5QyzxRQxsNyUS3AqCqxQKJ51pgspLF0kMmchjYHPeNZirmhT73ts9TzyaZOCrdPoe1ze7vPOagc/jDk5kWM2SUE7v9HdV9xm6BrPzxTI2jrljIUmQAio9z1eX2nvk01TKBSK+/FEO79TxQz/7R8+y0IljRNE/Mr5Lf7uN5e5st17rCiwoQnOJtED29DY7rn03JBKxkwMbg9DEzw/K4veGgOf99Y7pAyNl+eKI31KKdkDz03nsQ3pFL+1qqLACoXi2Waj4+CFMVEcU0mbeEHERsfF0DWOjWXoOQHEkLENDF2w3nGo971RGtmJ8SwLierOhc0eG3elNViGdIAtXSCEIGvpZC0NN4h4e7XD8s7ge1ohVCgUzwZPtPMLMF1M81d+/CxHxzK4Qch3b7b45bfX+PKVBgPv0XUf06ZONakydvyI9tCn7wWMZ8wk56yLJgQvzhWwdY22E/DWaocgijk7leNoJTPK+73ZHHJuOj9arltuDlUusEKheGaZzNsIYnQh0HXBRM7Ci2LW2g5DL2S2lCIippw2SRk6QRix3Bww8EPeXu2w3XM5OpbhSFKDcWm7z0preMd7pEyd52YKI1WebFK0vLsS985aR2kCKxSKB/LEO78AZ2cK/OmPz3N8LIsfRlze6vOVqw1+9f31x7rTH89aLCapC42+R88N8cKIsaxJGMW8u94hjuHFuQJZS2fgh0lqQ8hCOc0LswVsQ6PjBryz1qGcNnlhpkDKuJ0LfKOhosAKheLZYqvrEsXQcwMMTZA2daZycsVspe3QHHhkLQPTEJycyGIbOm4QcWOnjxuGXNjscaMxYKGU4sR4FoBrjQE3dgZ3vE/ONjiXpKhtdT00IXh+Jj8KWLy+0mZTtahXKBT34alwfgE+tVTmh6sTLFQyxMTUew4XNnp88dI231puPbLsjWx+YTFbTLHRcWk5AZoQjCWNL95d7xDGMS/OFiinTbxQtuOs9z2KaZOPzd9Ogzi/2aPe93h5vjjKBb7ZklHgrqOiwAqF4tlgPGfjBRH5lLSjuibzf6fyFnEMqy2HetcljEDX4LPHKpi6huPHrDSHdB2fm60h5zd7TOZtqpM5WYTcHHKl3r8j0FFMm5yZlvtvtYb03JBXFoqMZ6V2cG2rxwXVol6hUNyDp8b5FULwo9UJPjZfZCJnE8cCP4xYbQ55Y6XFa1fq3GwODxxtFUmXobxtMJGz2Oy4bPc8MpY+6vz2zloHN4w4N5MfaVFe2Oiy2h5i6BrnpvMcH8+gCVjrOLyz1mGumOLF2cJIEeKt1TbXGn0lyq5QKA49jb6HpgluNgfomsDSNXRNMJa1qWRMSBoGrbels+oGEX+gOk7G0hl4EQM/ZKPjsNV1eXu1TTFlcGY6L21s2+HS9p0OcCVjUZ3MAXB9Z8BWz+XsdJ5TE1l0IdhOWtTfSz9YoVA8uzw1zi/IhhV/6OwU1ckc2ZSBH8ZYpkZn6HN1e8DXr+/w+s3WgaOtpi7VHbKWQc422Ol73Go5VDIm5XQSAV7r4PgR1ckcS2VZiHG1PuBqEoWYK6Z5cbY4Snl4Y6WNG0S8Ml9ivpQCZH7wGyuqO5xCoTjcjGUtvDBmPGtxqzXECSLKGRNdCKYLNsWUAQIaA58bO33qfZehH/ODxytMFWxaw4CcbbDSGrLRcXljpY0uGKU4bHZdLmz27ghyTOZtTk3IFAmp0+4wXUjxykKRgm3ghhHvrHe4rlLRFApFwlPl/AIUUiY/dmaSpXIGTdNw/YicbQAx9Z7Lu+tdvnljh6v1PsEBoq052+DUZJZ8ykATMlftan3AdMGmlKQ7vLvWYeiHLFUyVCdzaAJW2w4XNmWbzXzK4JX54qhX/cWtHlfrfZbKGV6aK5K1dIa+7A53Zftg41IoFIqnjZ2+h20I6j0PS9NYbg6o9z3mSylsQ2OulCZnG2jA0I+5Wu+z3BwQx3BqMseRSoauEzBbsGkOPJZ3Bry12qHrhpybzqFrgnrf4/317h12dLqQ4vj47SK5za5L2tR5Ya7AYjk9So14c6X9WIXSCoXicPHUOb8As8U0nz8xxnwphR/FDL2QrGWQMjSiOOJaY8A7ax1ev9Vi565uQfdiImezWE5Tyli4foQThFza6rNUTlNMJZGDVekAT+VtnpuWlcb1vse7ax38MMJI2iifTJpibHRd3lxpIwS8PF9ksSQN8FrH4fWbLer9h49LoVAonibKaYMwgrGcxcAPGXghNxoDbraGHB/PkrV06QibOpqAMIbrddmoIm8bVDIm0wUboQkWy2ksXeNKvc+76x1WOy7npvNYuqA59HlnrY0X3M7nnSumR506L231qPdcNCE4Usnwwmxhz+pci5XWUEmiKRTPME+l8wtweirHJ5dKTOVt+r7MHbMMLdF91GkOPC5t9Xhrpc3FzS7+Q4oelsqyAG4sZ9F1pPrDhc0uJ8az+xzgUsaUUmiJ4sObK7f7zM8UUqNo765KxFrbYamS5uX528tw5ze6vL/RxVWSPAqF4pDQGPjYhszznS+lMDSNja7Lle0+V+t9zkzmKact5kspNAGmpqHrGrdaDt9abjKZtbAMDUPTmMjZHB/PMltIsdoa8s5qm9pmj5MTOVKJvvrba+07ZM0WymkWy7d1gnc7xRXTJq8syN+LKGYUIFGSaArFs8lT6/wKIXh5vsRzM3kqGZOdgUcUxYSRNHRpUydj6VxrDLjWGPDdW60HSt8IIWQusaUzljVpDX3cIOLCZo/qZO62A5ykQGQtg5fmiuRsHSeIeGu1M4oy52y5b7aQGhnad9e7mLrGi3MFjo9n0DVBo+/xzes7rLUdFYVQKBRPPRM5i52+CzEUUganJ7OU0gY3k/SFy/Uez83kmS2mmSul8cMIUxOjVImvXGswkbUQwHbfY6Zg88JsgRPjWZxA5u5+a7nJfClFzpbpZHd32DxSyTBfSiUOcJdmYpcNTdr4s0n0eFcSbf2uRhoKheLw89Q6vyCN2atHKpwYlzm7Gz0XS9fougHjOYsoipkrpqj3PW41h1zY7CYFbPe+2zeS/vGWoVFKG3ScgIEfUtvqcWY6Lx3gQEaAB16IbWi8OHtbWuf99e5IkF3XBCcmspybzmPqgtbQ5/VbLRoDn7limo8vlEZSaVfqfd5e7TyyXJtCoVA8Sax3HBoDn4ubHbZ7HhM5m08tVRjPWay0hnz1aoMLGz3OTGapTuaYKaYY+BGmppGzNTpOyFevNSikDAAu1/uU0iafPlLhxVmpu768M+R3LzdIGTrFlIEXxry91rlD0eHYWHYUfDi/0aO1p9h4PGvxsYXSyG5f3u7z3noHN1CSaArFs4L4fkYct7e7j/VmpVKGVmtw3/2toc/vXqqz0h4QRtLwuUHIZM6i60on1fFDWk7ATMEmYxosltPMlVJoQuy7Xnvo885aBy+I8MOIjG0wnrU4OZHl/EaXthNg6YLnZwtkLYM4jlluDrnZlI7vTEEu1+1e2wsiLm332EmM83Re7tc1gadrvHm1gRtGCGChlGaxkr7nuJ42Hvb/9rRzmOen5rafiYn8E/WlrFar08DPAS/WarVP3GP/54G/CbSSTb9Wq9V+Idn3I8C/BmwBca1W+y/u9R6ParPX2kP+4eurhEJgxjFLlQyfPlpm4IX81sUtVtsOlbTJj1QneGm+xHrH4evXd9jqeuRsHVOD5jDE1AWnJrOAwNY1XpovYumC9Y7Ld242WW+7aBqcGM8ykbNpDn00AdXJHBM5G4A4jkfFb7oQPDeTp5g27xjvVtflSlIcbWiC4+NZpvL2A+eovhtPL4d5fmpu+3mQzX6qI7+7lNImnzlaZjJnY2iCldaAfEpnZ+CTTxkIZFvj+WKKRs9jq+dyrdHnzZX2PeXHimmTkxNZTEND1wWuH1Lve1xvDHhupjBSgXhnrUPPDRBJUcXpRAliveOOCuFA9qPfqwm80XV5Y6VFzw2YzKf42IJMkdhtjvH6rZbSpVQoFA/js8C/AB7klP+FWq32+eSx6/hmgL8D/Pu1Wu1ngReq1eoPfxADMjSN+WKKlKmz2XO5Uh/we9d2GM9a/NHnZ1gqZ9gZ+vzWxTrfvLHDVN7mCyfHqWRN2WkzgvGchR/GXNjs0R74uEHI+xsdwhhmiyn+wOlJXpwrAFDbklHblCGIYpnnu9aWaQxCCE5NZJnMWbJ1/Xp3n72fzNt8bKHEWMYkSBpjnN/o3lFIp1AoDh+HwvkFKXXz8YUS5YwFwErToZAy6DoBhq5h6BpCCGaKUnJns+vSGvq8vdahttXbVxA3XUgxV0xhGzoI8MOQja7LreaQc9P5Oxph7OoKT+ZtXpwtjvLJ3lq9LasjhGCumL5D+uzNlTbLjf4oRWJ3WW/oy9y2i5tdtRSnUCjuSa1W+2Wg+5DDfrJarf6H1Wr1v6xWqwvJtleB5VqttlsE8XvAj38QY8raOmNZi0LKZCJns94ZcmGjy2+c36KSMfnDz01xciJHa+jxtWs7vHa5jm1o/MEzk1QyJn03ZOiFzBZtogjWug63WkPaQ5/aZpc4jkmZOq8erfAHz0ySt3Vaw4A3Vzp0HZ84lmlkNxoySrRbyzGVs+/rANuGxrmZgmyMkaj4vL7Sot5T7ZEVisOK8VEP4IPk+Hh21FVt6EfcakqVBT+MsHQNTRNJu01B1pKRYVOXQZNG3+PYWIapvI1IUg6OjWVwgohG38MLIsIo4mZriKELzk7nR9XE76x3eH4mTyFlkk8ZvDxf4v2NDj1XjuXMVG7klO8Ww13fGbDWdriy3ccIQ05N5iimTV6eL7LScrjZHLDV82gMfI5U0swWUqNxKRQKxQE4D/zVWq12o1qtngN+u1qtngUmudNp7iTb9lEsph/J7kR9j1TG4rlCiiumRiZlcGW7z8VGH/3iNj/96hH+eD7Nb5/f5Px6h/e3B1gpkxfmS/zpzyzxz95ap9FzcWM4PVdkpTnAj2NWeh6mbVL3Ik5O5QG5FHpyrsyXaltc3OyyNQzoBjBbStHwI8yBz5npApom+GQpw/n1Lhsdh+tdjxeL6ZFN3qVUynBkpsiF9Q47A5/lno+raZyclHUgu+i6RqmUOfBn8jRxmOcGh3t+am6PxqFyfoUQnJsp4AYR7290iaKYtfaQuVIGIYBYqkFYuiBjykiwF0R0hj5Z2xjlhx0fz5KzDdkCeTIno7sEBFFMFMdcawwwdY0zUzlqWz22ex7vrnc5N52nlDZHhXC1rR71vsd7612OjmWYL6WBpBhuPEslY7I2CNjpu7xxq83RsQyzxRSL5TSTOYur9T6NgZ90LXI5OZGlkDIf/CEoFAoFUKvVtvY8f79arZaABWSeb37PoYVk2z7a7eEjvWffCRgOPDb8iJKlEfk6x8spLmz1ed3dYafj8BOfWOCTcwVc1+d6vc93rgYMhz5TeZsfXCzy25fq1Dsug6HPWMakMfDp+iHv9j122kN8x2e2mBq956sLRSZSOl+5tkPTcah3BoxlLLq9FPXmgHPTeQxdYzat0+vCZtfh6xddzs1Ie303R/IWVhxxozHkat/l5laX42NZJpNcYJVb+fRymOen5rafiYn8ffcdmrSHXQxN8OJckZPjWRAQxbDZcYgBTROYmsALY5wgZipvkTZ1CmkTL4hwg5C2I3V7rzVkEYSeKEDYhoahCaQPHXNpq0dz4HN6MidzyhK1h91cXV0TnJnKsViSmpPXGgMubnYJozv70n/qaGWUk3al3ufdNVl1nDJ1zs0UOJu8t4xod7h0jxQNhUKhAKhWq9lqtTqRPP9L1Wq1kjyvABawCXwDWKpWq7uVXT8A/NoHNYYohvG8zWrLQdc0ShmLjy0UGfghN3YG/C/fuElMzGeOllmsZIiBy9td6n2X85s9PrlYZKZgM/QjWkOfgq1TThtEMdxqOXzlaoPtu1ISTkzk+NdfmmW+ZKMLjXpf1l2stBzeWpUKP0LIIrrdFIj317t3qEDsspui9rGFIqWkzf3FrR7vK0UIheLQcOicX5A5XC/NFzk+lsULpLNZ73mjdpg5SyOIYra6HtMFm4JtkLZ0DE0QRjFhHLPScnj9lsz7sgyN52by6JpACIEuxEhDsu0EMqcsn+SUbXRG3duEEBwZy3B2KocuBFs9j7dW7xRlN3WN01N5zkzlMDTZuej1Wy22Ek3i8azFxxdKLJbSo2K5795qsdFR2sAKxbNMtVr9IeAngZlqtfpXqtVqGvgZ4K8mh1wHfrFarf4nwC8CP1Wr1ZxarTYA/h3g/12tVn8OeKdWq/3OBzGmoR/SdX36TsBsMUXfk3KRYRTz6lKZKI5Z7w755++ss9V1+dhCiXLGJI5hteXghRHLTYeFcpr5ok3fj3CCGBDMFlOEkUxD+5cXNmnc5QDnbYMfPzfNq0dL5GwZ0X1/o8P5zS7fvtmk4/i3HeD8gx1ggJSp88Ls7VzgxkDa5rXWo0XDFQrFk8ehkDq7H82Bx+u3ZBR3PGuhCUE5I9MSiimT7cRJncpb2IbOreaQGIhj0ERMnBRRl9Mmx8elfNp7611iwNQEfhIZ3i1Uu9qQebwCODmRZbpwe2mu7wWc3+gy9CNMXXBmMk8pY94xNzeIuLLdo5FEj3fl1Uxd3qMMvJAr9f7IWBdsgxMTMkXjSeQwL8PA4Z6fmtt+njSps+8Hjyx11hrwj99cJ5M2GUvpVDIWy80hPTcgCGPGcyY3GkOcIGS6YHNiPEfW1qlt9ghjWCilKKRMYqREZNf1qfc8CikTN4goZwyuNwbomkba1PmDZyaZ2ZMCsctmx+Gbyy1W20MZPU4ZLJTSfOZImYl8ap8M2rlpaY/vx17bnM3aWFHEyYksKVN/5M/0SeYwf+/hcM9PzW0/h17q7H6UMxbPzeQ5UslQ73vomqDrBnhhTMvxWSyl0IVgs+vRHPicnZYd3oSQDrCla2iCUTS2OfQ5OiaTrv0owjZkpPidtQ4DP+TEeHbUWvPSdn/U8AIgaxm8PFccqUS8u965Yz/cp+r4VmsUSc5YMhJxejKHpYtRa+Ur9T6BSoVQKBQfMWEspcraQ5+1jst6x+HsVI5CStZQXG8MGc+ZTOQsem7I1UafRt+nnLHww4hbLRk8yFv6qM1xxjboeyFpS2er57FUzkAc4/ghv3Fxiyvb/X2rYFOFFD9aneDluSILpTQdJ+DSVo9fPb9Fbas7kkHbu2K32wr5Xuza5l3bK38T2qy2h2oFTqF4CjnUzi9IybJTEzkWymk2Og6GEDh+iB/GrHZcjlTS2IbsCndpu8/RsQwLJVnh7IURuibI2zoxsNJyWGkNyVg6xOAFMSlDEEQx767Jrm9HKhmOJQ7ytcZgJLkDYOhS73dvHvD7a+078oB3x/yx+eKoe9H5jS61zd7IwZ3M23x8ocRcEvFYazt851aLdZUKoVAoPkJmiylKaZNT03mGfkhz6PPuepfnZ/LMFW3ytsGtlovjR4xl5Grcds8lCCPytkFz4PHOWoeYmCOVDKW0ScbUieKIruNTShts9lwmcja6JnC8kG/c2OGt1fa+fNyMpfPJpTKfXCrzwmwBTQhWmkO+WNvmS5frBFHMqYm9neC6+3KJ72Yyb/PJo2NMJHUaV+sDGfzw7t01VKFQPJk88c7vt27sfM/XWKqkOVrJMFtMs5KkJQRRRBjFXN8ZsFhOU04KG95f72JoYqTH64cxXTeknDbJmTpeGDPwQlpDn6EfEkSQMTW8MB61Tp4vpalO5hDIphV7IxN35wFvdNx9ecBwO9/s2JhsjLHZk7m+u1FgQ9c4Pp7l5cRJ9kPZpvPN1Xs37lAoFIoPm+2eR842cPyQo5U0GjKI8O2bbWZLKc5O5xnPWjSHPtd3Bpga5CwdTRMYmmAyZ7PecfjSlQbtoc/L80VpnzMWbhBT7/lUMiYtxydtalimhuOFXNjs8fqt5r7ora5Jnd9PLpb5xFKZ2VKKza7L26tt/ulb62x2XU5MZJkvySZDFzd7bHYf7ADbhsaZqTxnp/MjTfc3Vlrc2BkQqeCDQvFU8EQ7v//T167zV3/zEv/RL7/D0Ase+zqyyEFGf6fzNrdaQ4hkRm8Uw5XtPuNZc5SycH1nwM3WkOdnCyyW0ghk6kMQx8wWUli6oJA22ey63GwOcIKIjKnhhhHvJGoNU3mbM9N5NAFrHYfaVu8Owzies3lpvkDG0ul7IW+stNkZePvGPV9K88p86Y4o8MXN7kjxIWcbvDhX5MxUDtvQ6Lkhb6+pBhkKheL7z0TOIggjyhmLjhPKuoa0CcS8u9oFYj6xWGS2mCKIIt7f6NEcepi6YDJvk7N15ktp6j2Pf/7OOle2e7w8X+Rj8yXGsyZRLIt+CykDJ4gIwhjTEIRhxErL4f2NLtca/X1O6GTe5pOLJV6ZL/HKfJGuG3BjZ8Cvvb/Jd2+2mM6nWErsf23rdpe4B7FbjDydt4liuNlMunOq4INC8cTzRDu/TUcakW9ea/Dv/x/v8dZK87HvrDUhG1PMllJM5GyWWw5BFGPrUrnhcn2AlhQ+GJqg0fd4e7XNRN4aRYGdIGKt41DJWMwneryOH3F+o0u955E2NJwg4p21Nl4QMZ61eG6mgK5JpYfzG3dKnWUtg48vlakkrTXfW+9yozHYl7qwm+t7fDwzUo347q3WHUt0EzmZCrFYlqoQWz2P795scbM5VNEIhULxfWG752GbOqYuGM9a9NwAP4hYKGVIWzrXG0OaAxnRPTGRRROCi5t9rtb7DIOQ6YK0q0vlDEM/5J+8tc7XrjZYrKT5sTNTzBallNl2zyOlC+IY2k6IG0boQrDT91hpObyTyJvtJWXqvDhX4MW5Eq8eKZO2NFbbQ759s8VXrtaJYlgqSy32K/X+vpqMe2HoGqcmc7wwWyBjJt0579M1VKFQPDk88WoP/+A7N/k/3tvE8UImciY/Wp3gR05NMlXYX+F7ELwg4u21Nutth5YTsFhOU0yZdF0ZWZ4tppgt2FzY7NH3QvREGmcsa3FzZ8itllSESJsaC6U0622HN1bbeEFMOWMwlbfRNY1s4rCaukbXCXhvo4MfxhRsg3Mz+ZGCQ6mUodnsc6vlsLwzIAZKaVMWVhj7700cP+TS9m3Fh7GsxYnxLPaeYx0/5FpjMEqRSBkax8azjGetfdf7MDnM1adwuOen5rYfpfbwcKI45rdr21i2SeD5DLyQ9Y6LIQQnxjPsDH22eh5TeZucpbPSHvLeWhcniDhSSXOkkmE8Z6MJuLrd53K9jxDw6aUKP3hijLyt89rlBpe3+yCk6k7fD2T9halztJLC0PSRdOWpydw97V5zIIMRV+oD1tpDbEPn2FiGmUKKjKXTTOzrYlmOaS/3+/uJ4phbTfkbEcVg6oJjY7Ko7mnhMH/v4XDPT81tPw+y2U+88wvw5es7/N2vXac59ClnbJ6fzfHqUoWXF4pkrUeX+XJ82XZ4s+vS80Lmi6lRHloUw2TO4vh4lmv1AZtJdHWumOLoWIa+G3JpWzrGADMFG1MXfPlyg4EfkbU10oZGKWMzljV5YaaAoWsMvJD31js4QUTa1HhupkDa1O/4T20NfC5udfHCGFvXOD0lWx7fi/WOw7XGgDCKMTTB8fH9RrY18Lna6I/GWk6bHBvPPNZn9jgc5i8jHO75qbntRzm/D2etPeRLVxropk7sh0zmLAZeyErbRQg4M5XDDSJW2w5ZSydvGyw3B1xrDOg5AccnsswUbAopk2LK5MbOgEtbfaI44qX5Is/PFFiqZHh3tcN7G13CKMLUNDZ7LnHicL4wVyBvGXjJKtuu7dbuatPsBRG1rS4Xt/qsthzCKJLBj6KUQvPDGNvUmSumODaWGbV5ftjfz8ALubzdo+3IgEo5bXJiIkv6KZBFO8zfezjc81Nz289TL3X2R1+e509/fJ4jlQwDz+e9tS6/Xdvmn729zoU9+a8HJWXqPDdTYDxnkzF1NjoujYHPZNYepShc3OxxfCLLifEsmoDVtsPbqx1MXYyKMDQB6x2XzY7H50+OMZt0JfLCmFvNgSxAW2kThBEZS+fFJH1i6Ee8vdqm69yZx1zKmLyc5Pfu5g/fb+ltJlGE2E2ZqG31pHO9Z6lPXq/I8fHMqIHGG7faXN7u4al8YIVC8UETx3SHAe2BT98LuL4zxDA0jlTSxDFc2OxhaiIp5BW0hv4oOpq3pYbvVtej7wbcbA6ZK9icnEiTsw3eXu3w7nqHN261mSzImolSxiIkZqmcxgsjum7Ad2+26PkB03kbgbTdb6229ykyyOZFBV49UubERIZMIqV2rS5X4NwwYrPjcLM55NL2/jzi+7Fr609NZO9oXKRS0BSKJ4enIvK7mxrw27Vtvnhpi62uh6VrjGctZospjo1leXG+wEwhte/u/kG0hj7vrXfY7nlEccxEzmahlGKj6+KHMVlLOsluIKuJ3SC6Yymt7wVc3urTSVImLF2j6/ijiuN+0tlosZzmCyfHsQ2dIIq5sNGlOfTRheDTpybQgzuNchTH3NgZsNKSRRfjWUsaUv3e9yqbXZer9aQdsxAsVdLMFVOjSAWAH0bc2Bmw0XGJkVXQi6U0c6VH+8wehcN8JwqHe35qbvtRkd+Hs94e8tVrO7S8kOHQx9QFQmiM5SwKts6NxhChwYmxLKYucIKIjhNQTJu8udIaNQk6Np5lqZxmq+cxkbWoDzy6jk/fCzk1mWMqn8I2NFw/YuAH1Ps+WVPj7dUOfT8gbxt8YrHEKwsllneGOIHMCT4+nrmj+dAuPTfg9VstLm338fyIlKWxUEoRRLDRcZnIWRwby3B6Ks9YJXvgvx8/jO5YQcxaOsfHs0kR4JPHYf7ew+Gen5rbfp76tIfdiUdxzG9d3OJr13ao91xytoFt6JTSJtMFm+NjWapTOcYeIbe13ve4sNFlq+ehCZlDu1hOs91zGfoRdtLa2NY1alu3u6/tLqUJpJrDjZ0hYRTT92SBh21oRLHc5wUxhbTOD5+cYLqQIopjLm/12ey55HI2s2njnga53veobfUIo5i0KeV17tfNzQ0irjX6bPek452zdU5N5PYd3/cCrjcG7CTzsA2No5UMkx9CXtph/jLC4Z6fmtt+lPP7cKI45jvLTRpuyM3tHl4YEUUxlqGTMjWm8rZUUhCCpXIaQ9PQNHD8CEODt1baXGkMyJhSE32ulGal6WAago4TEMVSpWepkqGcsQijiObQp2AbDP0IQcw7a13W2g6FtMHHF0v8yKlx1touW4ltHEuCCeZdwYQwWUH71nITx4+wdMFiOU0Yx9xsyrzgUxNZfuSFWfrdh6tB7KU58LhS7zP05YrbVM7m6FjmnnUdHyWH+XsPh3t+am77OTTOL0AQRvzmxW2+e6tFa+BRSptYhoYQUEyZTOWlUTl5D8fvfmx0HC5tS8fR0GRnuCOVNM2BT9sJ0DXBuSnZ/nKlNeR6Qy6L5W2DM1M5UqaO44dcrfdpDHzaQ5+dgcdsMc1E1uK9jQ5dJyRlarw0W+DkpBzbjcaAhh/R77scqWRYTCqN9zL0Q85vdOl7IZqAo2MZ5or7j9ul0ZdG1g0iBLKAb6ki0x720hx4XGsMRvnABdvg6FjmvjnGj8Nh/jLC4Z6fmtt+lPP7cLa6Lhe3etgpk+3WgNWWgx9GuEFEytDRNahkLLkqFsfMJ416MpaBQNYv/N61JrXtLinD4AeOVpgtpbhW74+aZli6RjFlUJ3MoWsaXhiy3ByStw3GsxYC+NZyi2v1PilL52MLRf7oczMM/ZDL9T5hJGsqqpO5e7Y0rvdcXrvcYLvvIUQsnVRN42p9gB/FHJ/O8+p8kXzq0Won7i6I0zXBkUqa2cKdq3QfJYf5ew+He35qbvs5VM4vyEKF37q4xdtrbTpOQDltkk+ZeKFMS8haBrNFmyOVDEcqmQP1X19pDbnWGNDoexiaoJg2OVrJ0PMCtnseAjg5kWW6kKLj+PdMgwDY7skUhI2uK5fLshavLBa5uNHjVmuIqcv8t7limqVKBl/XeONaA4DpvD2S/9lLGMVca/RZ78ils7GsRfUBaRBBFLO8M2Ct7RAjo7snJ7JUMndGxOM4ZrPrcmNngBfK/5qJnMXRA35mD+MwfxnhcM9PzW0/yvl9OEEY8fpKC90ycYeezPNNZL/6boCtaxiGhq1rWIaGH8YslFL0/ZBSysQ2BOWMxW9c2OT9jS6a0PjCyTFemC3w1mqH5sCX6gymzlwhxceXSli6xsbu6lscc6ySZrqQ4ndq21zY7I8K7f7ky3PkUwYXN3ujVLWFUpqlSnqfzfXDiK9d26G21SOOZWHz0UqKN1a7oGsQRHz2eIXj4/vt9cPYGygBmQpxYjz7gQYeHpfD/L2Hwz0/Nbf9HDrnF6QB+WJtm/ObXTpOwFhWVgeHYQwaBGFMOWMxU7BZKKdZLKXv6yzucrM55MaOdIBNXVBImRyrpPGieJR/u1SWTmsQRtS2+6P83r0VxUEYca0x4L31Dptdj5Sp8erRMq2Bz3JzyMANWaqksQ2d0wslAsfn8naPKJYyZ2encvcca73ncmlb5vbahsbpyfurQYDMY7u03aPnyujuRM7i+Fh231JbEMWsNIesth3COEYTMmJ8kM/sQRzmLyMc7vmpue1HOb8PZ+CFvLXSYojAjGPZEMg2+NZyCyeQLYptQ8PQNaI4Jm8baEIwV0qx0/eoZCxSls7Rcor/8/1NXr/VAgSfXirzh85O8sZKmxs7A27uDAmBk+NZPnuswmwxxaWtHuc3ezh+xETO4hOLRV673OC7Ky38IGapkuaPPT9DdTLLzZbDraaUrczZOmem8vdUY7i01eMr1xr4QUzG0vjkYonlrsf1zR66BtXJHOem84znHj1trN73uJqs0gFy1bLy0aZCHObvPRzu+am57ed7cn6r1eo08HPAi7Va7RP32P954G8CrWTTr9VqtV+417U+SOcXZErA71zaprYpHbypvEXa1EmZOkM/lL3fg4jpvD3K5Z0tPrjA60ZDdndrDXwMXZCzjVFl8tV6nxhppE4mEdq9aRB3G9HWwOer1+qstKTMzwszBYSAvhfSdnxKaZNSIY3neFQyJo2+TxDFZEyd52by94y+On44ilzs5r4tlO6/bBbHMatth+UkKmJogqNjGVkJfdc5jh+yvDMcFWcYmjjQZ3Y/DvOXEQ73/NTc9qOc34fTGvi8t9HBSpls7wzIp01sXWOhnOKrV3fYGfh0HJ+UrqHpGkEUkTF1MpbGXCnNdtcjnzLI2wbHx9J8+UqD1640iIBz03n+8HNT9JyAbyw3udEY0nF8jo9n+dHqBGdn8txqOnz5Sp2hH5EyNT4+X+RKvc/Xru3Q80JmCjafPVbhc8fGcIKIi1tyBe9BxXCtgcdv1bZp9H00AZ85NUmrM+Tydh8/ilgoyQLj4+PZA6fa7RJGMhVipS1TIQxNcKSSYaaw3z5/PzjM33s43PNTc9vP9+r8/gnABf7zWq328Xvs/zxArVZ77WED+aCdX5CRhi9d3ubydp++GzBXSiMEjOcs2sOAlKHRdQM0IZgupCimZG7rxAPu1K/U+6y1HTpD6QBnLIMjlQxZS+fiZo8wju+I0HYcn4ubvXtWFEdxzO9d2+H9ja50VstpNE2QMjRiYLKcZTuZmyZk4ZqpCUxD4+xU/p6R3SiOWU4aboCMFlcnc3c0urgbxw+5Uu+PCt0KtsGJiXsb664TcK3RH+lU2obGUjnN1D0c5gdxmL+McLjnp+a2H+X8Hoz31jsMIugPPIZ+KAuTdY3qZJZvLje5njitRmIHnSAibenkLJ35UorGQN7YT+Ys5ktp3l1r87uXGwz9kJMTWV49WuFIJc3Xru7w1lqHnb7HdMHmx85M8qmlCgMv5IuXttjseiPb1Rr6vLXaZjtpsHF8PMsXTo4znbe5Uu/fLobLmJyY2G9LgyQN4uJWD9s2KFkas3mb9a6XXNOilLGYzst0u0eN3g79kCvb/VFzjZwtUyEKqe9vKsRh/t7D4Z6fmtt+vue0h8TB/WsPcH5/ErgAFID/b61Wu3Wv63wYzi/I5f0vX6lzrTFg4IUslFKAYCxr4gYRYSw7AW33PQopg7GsRTFlcnQsc0/JmTiOubwt83Y7jo+paaQtncVSmrGsxfsbHbxQKjCcmy6QsXSCMLrDiO6VJ4vjmHfXO7y92mHgh8wVU/TdkHLGZHY8R8kQbHRcBok02s7AI2Pq5FMGpyZy91ViaA6kGoQXxpi6oDqZ25fXezfbPZdr9QFuKAviZoopjpTvnd6wM/C4vqcoLmvpHKlkDqymcZi/jHC456fmth/l/D6ces/l/GYPYep0uw5py8DxQ7K2gaULnp8tUNvs8Z2bLdqOTxDGlNIGPS8kbxukDI2ZYgo3kUCbK6aYylvc2Bnye9d22Bn6HE8kx85O5bjRHPKly3W2ei5F2+Czx8f4/dUJNE3jW8s7IxWe+WKKtY7DSnPIZs+jnDaZKdicmynw6aUSzWHAlUQu0tAEJyey9wyQXNrq8cZGl2bHJWNpzBdSxEKwM/DQNcFETmrFLz3milm953K1MbidCpGzOTKWeWBg44PkMH/v4XDPT81tPx+28zsJZGq12o1qtXoO+KfA2Vqttq+LgucF8eMs5ei6RviQRhZdx+d3Lm5xdVtWBS+WU5i6TIHIWDodJyBrafS9kObAZyIvuwhVshYnJrLk77rDjuOY8+sdNjouXcfH1DVSps5COc1COc07qx16boCpC87NFkcO4Xrb4dJmd5SXe262QDljja5X2+yy0XaZLaXY6rpkLIP5UoqPLZbpugHX6n0cP2St5eCFEdOFFOdmCxwdz95z3m4QcX5dRj8AFsppjk/k0LX7f85BGHG93petmmMp9n5iIsdMcf+SXxzHbHRcrtVlLh3ISPPxiSylhzjaB/l/e5o5zPNTc9uPaerK+X0IXhBxabuHKzTWGzIdbSJnEUQxaVOXHdhmC+z0fem0dh26bshkwWboBmRtk7SpUUqbGLpgq+sxU7SZylmsthzeXu9Q73rMlqSKzdFKGoHgi5e2ud4YkrE0np8p8CPVCabyNu+td9noOrSGAVN5m+v1Putdh4EfkdI1pgs2pbTJ546NMZG3ubTVG0VfJ3OydfzdgYFA1/m1t1ZYb7vouqCSNsnaBroGXhCTs3WEECMZyYmc9UgrZnenQuhCsFBOM/8harLvcpgdKDjc81Nz28+H6vze49gN4FO1Wm357n0fVuR3l/bQ5/eu77C8M8QPQyZyNsW0QRBCMW3g+pHsB69r7Ax8vEAeYxkaEzmLpbLs8rNLFMdc2OzR6HsMvBBdA9vQmcrZHB/PcGm7T70vlSCOj2eZTZzHvXm5AIulNIuVNAKobfVY77g0+h45W6cbQqszZK6U5rPHKmQtg9W2w63WkK2uy2bXpZgyODud5/nZwj2NXxzLgrzl5oAohoypc3rq4VJvPTfgav12ekMxZdw3by2KY9aScfmJMsRYVipD7P3MHuf/7WnlMM9PzW0/KvL7cOI45kq9Tz6X4sp6m9bQZ6vrMlNIoWuCVOIAPzddICbmtSsNLm/1aA19yonDa+o6xbSBLgQpU2M7idTOFm02uh5Xt3s0hj5TeYtKRjYmsnSdN2+1qG33ieOY01M5Pr5Q4uRkjhs7A7puwMALSBkG1+o9ru8MgZisZVDOmOiaxrnpHK8slGgOfK43BoSxlEQ7NZmlvOdGv1TKsFnv8cZKi4uJ6k/WkoGWiayFqWuYhhgFC3K2zrFK9p6yag/C8UOuNQbUk8BGytA4NpZ5rOK6g3KYv/dwuOen5rafB9nsR8vOT6hWq1lktHe7Wq3+JeB/qtVqO9VqtQJYwObjXPd7pZg2+czRCrDDzeaQdiKKPl2w6XkhGVNHE9KRG8+ZRJExKmKI4ph6kg+2WE6TMnU0ITgzlePCZg/wcPwQL4jY7LkEcczpySyZps7N1pAr9T4DL+TYuJQJe2GuwM2dITdb8tEc+pyeylGdzI06rAVhxIlKmvcdn+WdIc3BJl84OcZiOc1MwWa5OcTe7HGrPeQbN5rcag75wRPjFO7SlxRJZKCcMbm42WPgh7y12mapnGH+AcVwOdvgxbkim12X60mO75sr7XtqA2tCMF9KM523WWk5rLYdGn2Pnb78zJYq37+lOYVC8WSy1fNY77h0QnkzbekacQzLzSETWQtpUnTeWe9wbjrPj52eZDxr8vqtNhsdl6ylk7Vh4MoVJj+MyVg6Lcen74cykFDOYOgO7aFP3jK53hgwX0pTnc6haYLl5oCLm7LBRsvxWSylCSNpz3UBnzpSRhOCKw3ZnTNlaGRtZHOMjsPHF0q8NF8Yde98d73LbEGq+eyuqNmGxqeWykzkLN5a6VDveXiJmsVsMcW4YXGkkmG97dBzQ95Z7zCWMTkyliFrHexnN2XqnJ3O0xr4XG306Xsh5zd7lDoux8Yyj1xcp1AobnOQgrcfAn4K+DHgbwN/Hfg3gedrtdq/Xa1W/yTwrwDngbPAP67Var96r2t92JHfXVoDn2/dbHJjZzAqqpgtpgmjGF0T6JpAAJYhcIMYP4xoD6UETz5logmYKaRYLKcxE0me3QiwF4QIITB1uTR3djrPTt/j0n2kylpDn9puRbEmOD6WYSpvc2GzR73vUczbZETMG7c67AykI/7xxRIvzhYwdA3HD7mw0eP1lRZ+GGMZgk8sljgzld/XoQjkktn1ROMXGInBP0y3NwgjbuwMWe8k2sC6xtGx+3d+c4OIm83b7ZJ3P7OFUnpU7HGY70ThcM9PzW0/KvL7cMJIdkNrBhG9nouhCUxNsNF1WWk5ZCyN2UIKOwlEnJnKj27av3Fjh6v1PqamkbV15gspUklEdb3jEEayu9tMIUVr6NEcBvRdGXBwg4hy2sQ2NN7b6LLTc+n7EeNZixdmCxTTJk4QYesC29Q5NpbmtcsN3lxtE8dSBrKQks52ypS66GencvS9aLSiljY1Tk3kWJop3vH3U+97vLPaZrk5xA0i4hjGsibzpTTnpvO0nYBbreFo/I8TLIjjmPWO1GQP9nwOS5X0PX8HHpfD/L2Hwz0/Nbf9HEqd34fRGvp892aL640+lqFj6jBdSKELgaEJkpV78rZBEEYMgwgviHCCENvQsQ0NXRPMF1PMldJogpEDHIQRQoCuaRRsg+dm8gySTmx3F8KBdCwv12+3Hh7LWhwfy3CtMWCIwB16nJnM8sZqh8tbfRCwWE7z8nxxJEnWGnp8+UqDtbaUTZsvpXh+psBcKb2vexvIYrVLSTGcrglOjmcP1MK45wZc2e6PUjYelAoBskr5xs5gNDddCGaLKRZKKcbHcof2ywjK2DytKOf34DyOza73XMbKWd650RilVOlCbl/reOhCFtoW0yYCqZU7mbdZaQ355o0d3l7rEEZSI/hM0lnT0DRWmkNaToAuBJWsycALcIMIN4hZqqQwNJ2YmLyl8/Zah62uByKmmDY5NZ6jkrVkYVzKoJy2eH62wOu3mvx2rY4fSknMXEqmx+maVAc6NZllMicL7nYLf8/Ml6iY2h11FY4f8v5Gl+uNAVs9hzCS6WfzpRSfWCqTswxuNm8HF/RE23j+Pvb7fgRhxI3mkPWkgZGhCZYqaWYKH0w+8GH+3sPhnp+a236eSecXpAP8xkqLa/UBtiGwdY2xnI2pC3KWwcAP5R29oVHMGGz3fMIoxg1CiME0NDQhMHXBQklKfV1KGltEUYwQMuUga+k8N1MgjmPeT1oR65pUXxjfo4yw2ZXd34JIqjMcH8vgCJ0bmx0MTfD8TIGbzQHfvdVi4EVMFWyOVNIcH5Pdf6I45r21Du+sdei6YRJdSLFYzoxy6vbih9FovHD/Ao672e38dn1nMMrvnU7aRt8vytBzA5abw9F76Zrg7EKZvIi/p0YZTzLK2DydHBbn9wAa7D8DfBq4CrwC/K1arfb1ZN83ASc5NKzVaj98r/d4VJvd6Hu8v9FlspxhMWfScQKuNWS0MopiGgNXOqUIymmTqYJURzg5kWWmkKLR9/jurSav32zTHHhYhs6piSxnpnJ4YcxG1x1FYou2jhcmdhghc4Cz9miV7fJ2j6v1/mhVaraQYqqQ4mZziKnLNK5X5ovc3Bnw6xe2aA18pgo25bRJaxgAMZWsxXxR1mxEkdRMz2RtIs/n5ETuDrWgKI65Wu9zvTHgVmtIxwmwdI2xrMWnj5Q5Uskw8EKuJ42UACxdsFSRq4GP4rz2vYBr9cGoOC9j6hwZy9zxe/M4HObvPRzu+am57eeZdX5BFsG9udrmemOArQvSpk4uJZfHSikDJ4hwgkgayHwKP4pGcmV+KLdrQiCEwNJlVLPjBOwMfOIYBICQOWDPzxSwDI3L271RJHSxnGapnB7l3Tp+yOU9eo5Hpws0WwMZ0dAEz03n6boBb63IHLhC2mAqbzOdT40kbzY6Dm+vdtjoOgghmC+lyJoGC+U004X9RnSj43C1fruA4+Tk/lbH9yIII5abw1Gb5IM0veg6ATd2pFHOZm3cocdCSZ7zIAWKpxFlbJ5ODpHz+zAN9r8M/PVareZUq9VPAf9zrVZ7Ptn3s7Va7Wcf9h6ParN3I6CYBp7jcXYqT8bSudYYsNmVzXM22g7rHQfL0LENGWHN2QZHKxkWyulRl7hv32xxqzVEF7Lxw6ePlLEMjVvNIVfqPZqDgJytj5QkMqYslJvI2QgEQsRc2upT2+4x9EKOVNIslTOM5y1uNR0GXshk3uaHTozR6Ht8sbZNexiQsXQWy2lW20OCKCZl6iyVpczlZM7GERqbO30AZgvSLu+N3m52XS5tyd+AGzt9dKGRsTRemCvwiUWZb9weyqK63RW2tKmxVH50ZYh63+N6o88wKa572ErdwzjM33s43PNTc9vPM+38gnSA304cYCNxei1DwzZ0qS2ZVBSDTIOYztusd51RW+A4afkrM62kZrCXSCUJ5BJWiHQOz03LxhS3klbJMVI4vTp5Ow94N3/remNAKmPhDT00DdwgRhfyGl4YcWGzy3bPI4ik5JmpaSyW08yVUnSdgAubXXYGPs2hx0TWJmXqpAx5zORdkYShH1Lbo0Axnbc5Np490JLbwAu51rjdICNj6hwbzzzQgW4NfRpexGq9B8gIx3zp8bvFPYkoY/N0clicXzi4Ek+1Wn0V+Bu1Wu3V5PU/Bb4NpIHv1Gq1X7vXeY9js4MoZnXgs7zZRRNwciLHVN6mNfS5st1n4IfUex5XG33Shi5bIKcNpgspjpQzHBnLEEQx7693+PZyi8v1Hn4QsVRJ88pCmRPjGa7WB1yp97nRGEj7G0eU0hbjOYucpVPOWhhCkE8ZvLvW4XK9z0bHYa6U4tREnhNjaWr1AZ1hgKULPntsDMvU+GJtC9ePSVtaog3s0hn6hLFsYT9VsDkymccZyuYWMTLwcWriTkWIvhdwcbNHcyBb13ddqWM8U7D5kerEyDnd7sk83l3nNWvpHB17sG29myiOWe/ILp5BJP+7pnI2S5X0Q2s97uYwf+/hcM9PzW0/z7zzC9BxfN5e7XBjZ4AQgomsiS40LFPDTvQeN7oubhIFXiylMXXBzaaDmzi6VtKwwo9iojhmu+thGYJS2sTSNfxIOsmnp/KMZy2aA48Lm70kMqFxdjp/R6Xv0A9ZHQSs1XvEcYwXyHQIQxecnc4jgPMbPRw/pO9L46lrgrQp9SNztsH5zS49N6TnyiW23WKzeznBd0ui2YZGdSJ3YAmenYHsRb9rqMcyJsfGs6N2zndTKmW4vtbixs6QbuJ027rGYiX9yMt8TyLK2DydPGvOb7VaFcD/BvxirVb7RrLtk7Va7dvValUHvgL8J7Va7St3n/s42uw3dwbMFFPcqPe52ZRdKI+MZTg2niWO4WZzwPV6n9bA4721DmEcU0nkxhbKGU5O5jg9nQfg6naPL13c4tJ2j3rX4/hEjrOzeT59dIyOE/DmrSbvrLTpOQF+FDORtzgxkaOQMsjZJpommMxZXN7q8fZKm2v1PuWMyfGJHD92boq3VzqstgaA4NxsgbmSzWuX6nhBRCVrcXoqz5XtHlsdl74XYptSuz1t6oxlbQZeMMoFni2mODGZG6WGhVHMla0eK80Bqy2HK1s9CmmDnG3ww6cnOTGZQwghgyFth2v1/qi5xUG11PfihxE3GgNWEvuuCVisZKRyzwFTzw6zvjcc7vmpue3nQdrsz4zzC9IBfnetw82mvEOeLaQQAgxdQxOwVM4w9EM2kuW5gm1wbDzLTt8bCY4LIJ8y8IOIgR+y1nboeyGTOYupgo0byPjwiSSHbXcZcJQHPJG9Q6exWEzz7o0dlncGRLHs7pY2dXK2wempPLau8d5GR+bexjGWoeElebjFlMFSOcNG15GpGrFc/osBJzGi93KC+15Abas3imzfa+nufuzq/S43ZfWyJqTRXyzt7xK39/+t0fe4sXO7W5xtaCyU7p2m8bSgHMSnk2fJ+U0c318Avlir1X7jPsf8PDCs1Wr/xd37HtVmb/dcLmz2KBdSzGVNHD/iar1PjFRUOJU04HH8kKv1PsvNodQaH/oU0yaWJqjkbE5PZjk7XUDXBPW+y+9cqnOt3met4zJbsDk9lefMlKypOL/R5Tu3Wqy1HPpeQCVj8eJcgbGshaFpaJogb+sM3JC31zpc3OxiGhqVjMUfOjNBEMFbq22CCGYKNhM5iwubXfxQjvnTSyVuNIfUNnsM/ZBQCMq2wWJZqlakTZ2eG8iAgq5xYiJ7RxfMes/l0nafjhPw/noHTQiyts7ZqTyvLJRGhdH31FLPmCxVHk3WzEmKkHfT90xdsFTOHMjWHubvPRzu+am57edBNvuJrkRyPJ//5Zs3CILgA7leIWXy4lyRo2MZ0qbOSiIHJoAohus7A+IYzk7lsHWNjhvwzlobQxd8bL7IRM4iBjpOQBjHSQFZhnzKYLXt8t5aFz8IiZL2yDd2BqRMnZfmikzmLMIo5vxmjxuNAbs3HUKIkbJDzjYYy9q0nYDVtsN76x2cIOSluSIpQwMhpN5uMYWpC9pOwDvrHQRymxCCYRBh6YJjlQwZU8cJZNHbd2+22Og4RLEUdn9prsiRSgZNwFrH4Y1bLVpJHvKD2NX7/cRCiem8TRTDSsvhO7darLaHRPe5mRrLWrwyX+TMVI6speMGsh30d5YffJ5CoTg41Wo1W61WJ5LnOvCLwK/UarXfqFarfzzZfrparf6ZPaedRBbFfc8UUybltIkXxry33sUNIs5NS4d3u+fxzloHL4hImTrnZgp8aqnMczMFxrM2PTegOfTZ6g757q02315u4ocR41mbP3xuinMzBRaKKbZ6Hu+udbiw2eNKvc+Z6Tz/2gsznJ3Jk7UNNrour11psNZ20DX5I9d1QzQNPr5Y5LPHx9CFYKfv8U/e3uDGzoDPHh9jImex0XXZ6LrMFlL4YcRm1+Vr13eoTuT48XPTzJXSFNImOwOP11fabHbcUWGbIQRuGPH+RpeLm128JAAxnrN5Zb7ITMHmYwslsrZOe+jz7nqH365tcaMxSAIJiW1dLLNYTqNrgsbA542VNhc3uwz98ED/BylT5/RUnpfmChRTBn4oG4+8cas9apihUDzrPNGR35/7zYt840aL2VKaf/vVBV5ZKD9SMcD9GPoh76x12Og4NAc+i5U0aUMWTsTIvKtTE1nWOu6oSKOYMjg1mcMLIq41BqNl/JylU0yZnN/sstJyEALKaYO0qVNMm8wUUpyYyKIJwUpryPWGzAMupU1OT+aYHL8tBxbFMTd3htxqDdnoylyzuWKal+Zli+T31jv0vRBTF1QncomTPBwtcRVTJl03IEhkgqqTOfxQ6m4OEsN5dyS458oo8N6lu6OVzIGL0+7uEpc2NY6OZRnPWve9W4vjmEbfY7l5Wz7I1jXmSql7qlY8qag77aeTwxL5PYAG+98A/gRwLTnleK1WW6hWq7PA/wd4EygAJvAf3Ksl/eOs1sVxTDuCd2/sECNt50I5xZXtgdTaNTTOTedH0cwojrmw0eXrN5r03YBu0ngiZxssltP8vpPjpC2DIIr52tUG377ZZLvnkTY0XpwrMJFPMZmzmC2k+PbNJr99cZvtvocfRnx8ocQnl8roGjiBXD3TNIEbRLx+q8Vmx8UyNKbyNp9cLDPwArb6HoYmVXze3+giEMwUbH7wxBgLpTSrg4AvvrfO0A8Z+CFZS2exnCFnybbGYSTfw9AExxJd9930huWdITebA9Y7DistB8vQGM9aHB3LcGoyd0eurxdE3GpJebTdVcfpgs1i+dE0gus9qdyztyjuSCVDMb0/3e0wf+/hcM9PzW0/T23O7z/49i3+6dtrhLFcuvncsTH+2AvTHKlkvmcn2PFD3l2XWpDbPZeFcpp8yiCKYrwwxkikygCubPdxwwhdSE3F2YLNVs9jeWc4ygcey5h0nYD3N7t4QUze1vHCiHLG4thYhnMzBQxN0Br4XNySesC2rvGpUxPg3RnZ3nVIb+wM2Op6lDMGn14qM1/OcGGjS3Mom2FUJ3PkbYPre3R2BfEoiiCE4OhYhrliiu2ed18nGOBmc8it5pA42XfqEXKB4d5Vxy8fGydy7x9NjuOYxsDnZnMwSsHYLYx7GpxgZWyeTg6L8/v94HtJVbux3qa22cMNI+kIVjLypt6VWr2nJrNM7EkBa/RdvnipTr3n0XcDBn5IIWUymbP40dMTTOVl+/h319r81sUttns+li44N5NnppgeOZteEPH/++4KV+p9hn7AUjnDHzg9yXjOHqnseEGErsFKa0htqyd1eS2dE+NZyondc/wIyxC8ty7rKuZLaX7oxBifODHBVqPHN5ebXNrq44dyta+QMpnOp7AMQRiBocuVumLK4OREbpTe0BrIxkdbPZebOwMiZKH1QlnavePj2TucW8cPWW7Kdve7DYWmk4ZCB3WCd4vibjYfnFJxmL/3cLjnp+a2n6fW+QW4uNHhb371OitNKXlzdCzDp5fK/MCxStJ84vF/j7wg4t112ZpyveswX0xTSBmYhkY3iWQultLMFW2uNYZs9mQUOG8bnJzIkjJ1VlpDVlsOYSxzfQWw3fdoDX1MTWPghwhiFsppPnt8jJxl4AYRFze7tJ2AXM5mwtL3tSGOkuK0N1darLVdTE3w8aUSL8wWuFrvs96RY9mVB9ornRPHMV03QBOCnG0wnrU4NZlDF+xzgm1DY76UYjqfkooQe6LA03mbY2MHL5aI4piNjtTh9MOYbNYmK2KOVDIPrTqWkeDbTvCutvJ0IfVIIvDfT5SxeTpRzu/BeRybvdFxODpTZNh38cOI2lZvpBQzW7Txw/i2FGQpzVLlthTk0A/5+vUdlneG9L2A5sAnBsazJp87NsZzs4VkFW3AP3tnnfW2i6FLjfTpgnSOy2mTI+UU/+K9TV67UqfvheRtnc+fmOBjCwXqg4Awiukl8pJeGHGl3qPR99GTArliymSmYKNrssPn26sdtvsuxbTJH3x+hrOJXVxtDfnOzRabPXfUQTRnGTJFLoaYmIxloAmYL6VZLMvfLD+MuLTVY7XtcDOxl7oQLFbS5FMmS+U0c8U7fxMGXshy83ag415dNR9GEMXyN6stO+bBncoQh/l7D8quPa08k84vQGTo/Pyvn+edtS7DIGQia3F8PMvZqTwvLxSZK6YfO0oYhBHvrndp9D3WOkOm8ykKKYNS2hxJ2RRTsvis7wVc3pYVuQJYKKVZKKcJoviOVr+doY8bhpiaVIBoDXwZ6TUFry5VODmRRdcEN3aG7PgR/b67Tw5tl74X8K0bLS5t94hjOD6e4QsnxtjseVxryD+GmYLNifEsQgi2kuYUbhDRcXzaw4CJnEU5Y3JmSi41xnG8zwm2dMFcMc1UwWaj43IzqRi2dMGJ8TuL9A7yma60HJpBRLfnPrAo7m4afTmu3bQSMxnXbMF+4pplKGPzdKKc34PzqDZ7q+tycavHeCnDsYJFytRHKjO70o8F2yCfMkb64XfbPjeIeHu1zWrbodH36Ax96n2ffMrg5fkiP3C0Qj5l0HF8/slba0kjC8GLs3lmCylCxGiVbqU54B+9scp238PQpOLOj52eJCSm54Z0HF/eqFuyhfJm16XrBJQzJqauMVtMSR112+BrV3ZYaQ9JpwyqlQw/Up2glLFw/JDzm7Khxk6SMrHr9I5lZP6zqWtkLKlFfGIiO2qOsdFxqG31WG4OGbgBhi7TICpZK0m/y5FP3Vns1vcClneGo/xdXQhmijbzxYM7wV4QcbM1TOpAbkeTnz8yxrDnPPwCTynKrj2dPLPOb6mUYXWrwz9+Y5XXb7Vp9KUiwnTBZq6U4thYhudnCqOlr0cliGLOb3Rp9F1WWw5jOYuCbTJTtNnuerhhJPNsJ3MUUiY3dgasJcVyaVMbdfrZ272n4/hsdFwmchZjGZONjst230cIWCqnOTOdl3f2tsm3L28TRDG2oXF2Kr/P2O12jvv69R3CCCoZg8+fHEcTgtpWjyiW0Y4z03kMTRDFMastWTXc90JWWkNsQ2M6L6ukZ4up0XUbfY+breEo4mpospFHOS3nuZvLO5aV3eEeJdcslbV5+1pjFDE/SJOMXXYGHjd3hiNdYl0TzBZSzBVTBzbwHzbK2DydKOf34Dyqzd4NJkSGTuD4PDd7W96xPfS5uCcNYjJns9VzCaKYjKlzdjo/Sg3ww4j31rs0Bx6Nvkdz6HOrNSSK4Nh4hs+fGONIJUsYRfzKexu8vtIG4NxUnudnC7QSu5W3DVK64J++u8HlzS4R8kb8c8crHBvPUe959NyA1tBnImvSHga03YCNJKIsklqKpXKal+cKfPXaDhcbQzwvYLZg85mjlZHdXe/I5habXZe245O1dIZ+SNYyyNg6YShbLZu6dseq2tAPubjZ5Uq9T73nkzI08imd8Zysy5gp2By9h1zZvq6aSWv5+VLqvp0478bxQ5Z3bq9qFvIpSoZ45LbLTwvKrj2dPNPOb6s1wAtCfv38Ft9cblLvyUKFrKlTzlhM5m0WymnOTOUfK0oYxTEXN3ts91zW2y65lE4hZbJQStFzw1Gu2EKyTNdzZRR4N0Vgr4HaTUFY7zrcag4xNI1j4xkyhs7F7R59N2QqbzGVT3FqvoQdhlxNiug0AcfGsiMHdS+bXYcv1rbpOCFZW+fF2QKzhRRXGv1R9OLcdH6UYuCHsmBipTVkre3SGviUs7LQ7tx0/o7PqDmQEdddZ1cXsl2ooWujJTI9yambTgo4Dvr/dndRnG1oLJXTo0KQB9EceNxqOSMlCk3AdF4a+EcVcP+gUcbm6UQ5vwfncWx2xwmoeyEr2z3MJCVhN690d7m/kaRBlNMGQ1922dQ1wZmp20Vfu0GJ1tDHDyN6bsD5jS5dN6CYMvn4YomPL5TI2QavXa7z2pU6YRRzZCzND5+aoN73R6t0GVPj9ZU2b6226Q5lZPf0VJ5PHy0z8EL6bshax2EqbxGG4CW2M4hiHD8kZxtUMhavHi3Ti+B3z2/QHPhMJU7sC7NFZoupUUv5ra7Lds8ljGMMIZV5CimZ/mBoGpWsRSrRa58upIhjWZj87lqH1baDoQnKGXPkLJu67HJ3L9vbcwOWdwajz1TXBHMFaSMP+ju4ew1HaPT77ijt7DA1JQJl155WnnnnF6RBfO1ynW/e2GG752GZgoyhy1wr22Qsa8k0gIksc8WDFwSAjIRebciobr3nIYSMeE7lLGxTHxWEFVMG1cncqNXmrdZwpPF4fCI76q9e77mc3+xS2+oThDFjieO51pHXN3SN4zMF3KHHRM7CD+NRbtx41uLURHaf8eo6Pl+9tsNKa4ipaxyrZJgvp9jp+yOZszNT+TsqeXcLJi5t9VjryIj1bCHFZ4+NjYo7dmknEZbdcWhCRpXdIKKXOPq7yhf3a25xr/832K/1m7V0lioH60ffcXxutZxRlEMgNTgXyuk7God8P1HG5ulEOb8H53HaG3/3VouZsRytzoC+F43atu+1SWtth2uNfpJapaFrjIplj1QyLJbTQKIEsdmj0ffQkjby373VZr3toAk4OpbhY/MlqlM53lvr8CvvbzL0ZdviHz87hRCM6iO8IGS941Lb6rHaGpIydeaKKT6xUMI2dfwo4ubOkHLGIm1oxELWMDhBRHPgowtBMW3yiWMVPMfnSn3AcnNAIWUwU0ixWE5zpJJhMmex0fW43hgw8ENaQ5lyMfRDOo5snxxHEfm0RSUjpeF2WxJ3nYA3V9tc2pLNkcazsohuV4YjZ+scH8veU6mh6wQsNwcj273rBM89QiQYy+Dt643bgQpdY6H8dOux70XZtacT5fwmRHHMd5abfO36DltdF0PXKKVNRAwkBrKUNkeyMAul9Gg57SDcTFoTd5wAL4gYz1kUUwZzxRRX64PRsl11MsdY1pK5wFv90RL9WNbi+Jgs8orimBs7fb56dYeBF2EagqOVDHEs54FhYMQhhiaNky4EQz+U7Zd1jepUbpQftovjh7y50ub6jjSuS+U0xZRJHIMbyg51J8azowKQXfpeQG2zy9trXRxfpnK8PF/g5fnSPsPWcwNuNm/nlQlk2sLQD0dNQXZznu9nFO/1BxvHcaKUMRg14sjbBkcrmQOpS/S9gJWmw1ZP5leDzBlcKKcppA6uTvFBoIzN04lyfg/Oo9rsnYHHxc0edtqi33fxgghDF5iaxtnp3D1bAPe9EAGYuoYbhAghGMtaVJOb/ziWOrW7Tux03uLiVo8LGz16bsBkXua7fvpICccP+eW3N9gZeBTTJj98cowjYxluNmUzop4bsNFxqfel0kIYS9nJ52fze/JwPSxdjsHQBa1hQGvg4QQRO32PmUqGim2QMXUGQcBqy8HUNfK2wXwpRd42WaqkyVk6l+sDWkMZgQ6iiDiWyjiDpOmRiGMmCylKKYO5Upqlsiz+u7TV47u3WvTckIylU53MQgzeniK1o2OZe6aAdRyf5Z3haLXyUXKCd78b92pKtHRXs6SnEWXXnk6U87uH3TzYr13dYb0zRAi5TJRNGjtomkDEUEibTOYtZotpFkqpAztIGx2Hy9t9hn5I1wkYy1lkTJ1Tk1lWWs7o7nqumOLoWAaBjDBc35GC5XrSvGKuJJeNBl7Il6/UudkaognBRNbCDSMWxnOEXkDeNuh5skuQF0S0HZ+0qY8kcHaN4i5eIMXUd4s0Zgo2aVMnsY3yrr8o86HvXiZrDjy+caPJ8o5sPTqWNfnM0cq+6mKQFca3WrdldoIoYuiFSZcig7SpJfJA+6O3D/qD3VWGuNkcjDrWldMmR8cO1s3I8UNWWg4bXWc052JK6oLeaywfBsrYPJ0o5/fgPI7N9sOIbS/iylob4pjtvkfK0CmmjVHr912iOOZ6Y8DqnoZDYSylGtOmNirShdtBCYCpvE1z4HJpq8+NnSF52yBr65ycyHGskubXL2yx2nawDY1PHynz0lwRx4+SYlp/5NhtdRycIEbXbgcMgihm4IV4YcRkziafMvDCiPW2ixCw4wREQchcKZ00SIrpudKGh7EsHLMNjaylc6SSxg3kHMM4JowiTF2j4wRsdl2G/u3OcLOlNGMZk6NjWabyNvWey+9d32GtLYuGj49nWCyl2ep7RLG08UsPqKG41yredCHFfPH+KWN7vxv30mPflcg8SMrak4iya08nyvm9Bzcafb58tcFq2yGKYioZi4ylYxuCvhti6AI3iCmkDCbzNuNZi/lS+o72k/ej0ZdRDCcIaQ19KhkLy9A4NZHF8aNR9XLW0jk9lSObyJhda/RHcjTZRDuymDYJoph319pcqfdpDnwmczauEERewHTB5tREDi+MWes48gckKcYYz1oslFKcnsrfYbTCKObiZpftniwKsQ2NQtqkn8id5ZJuS2em9qtIAFza7vGN600GnvycTo5nOTcjf5zuNmyOH7LSdtjsyDy2vieLRHKWQTH5bI+O3VkQd5A/2CC63dJzV3pnImexVM4cKFrvBRFrbYfVzm3pnqylM19KM5GzPtQohTI2TyfK+T0434vNXl6Xtq7vBqx3pezZTD7Fc7MFpvJ3qsc0Bx61rR5eGBNFMWEsFRJ0ITgxkR0dvxuUkCoRFhExa60hV7b7OGFExjSkTvlklqvbPa435e/CK/NFzs0UmCnY3GgOWW1JR7rrBLSHAUEU4UcxE1mThXIGP4oZeiFhFFNOm0wVbISAjY6LMA22Wn08P6acNUkbOh1XKvrMFWwsUyela9iJrS6mDKYLNts9b+SI2rrANjRuNods9WQk2I8iSmmT+VKa6bxM3bN0jTeTXOUwglLa4DPHyvSccJTjmzF1jo9n7nvT33UCbrZuF8ZpQt48LJTS+5zg+wWatntSinI3NSVtaiyVM0zk9v9WPMkou/Z0opzf+7DVdfjy1R1uNYcMvIDpQgpdQCVrMfRDokjeJXecgELaYCJrUUyMzMMcpI7j8/5GF9ePaA49CilZgLBYTlNJm9S2ewz9aF+h2s7A42r9dtOH3cIIXRNc2e5zqzVku+dSzKdodhw6ibzOK3NFjlTSbHQ9Vtvyrn217aABk0kXoqnC7R+OOI65Wh+w1nFw/JAYSJs6Ay+gNfAZz9kU0wbnpgv3dCaHXsDXbzS50ZAR2LGsjL7udmm7Gz+MWO+4rLaHuMkyYGvoU85YjGctjo1nmC3ICPKj/MEGYcStljPqWCeS+S6V9xvo+52/O67dSPJu17jp/Icjk6aMzdOJcn4PzqPa7CiOeXetw6n5Muk4Io5jVtsOy80h622Hel/WN3xiscRiOXPHuXuL4aIoxg2jJB9YKh4cH5edMpsDj/ObPcIoppgySFs6Gx2X5sBjveMgf9IEOVsnCCO2ej491+fsdJ5TkzlOT+UY+hHvr3dkuprj03J8jESXvZw2GcuYZGyDza5DFAkqWVn8bBkavtC4ud3DCyLcIMQ2dIopg52hT8cJmMpbHK1kyFgGYRyPmkqU0yZZS2ez5+KHMZqAiZyNH0Zc3u6z3XXpuFJ6bbaYYr6Y5shYhqVKhq2uy2uX67QdWRT98cUSRypprjVuO6RjWdlQ6X61GD03SH53bqeyTeZkofjub8ODvhv3SlmT3e3S9wyYPIkou/Z0opzfB9Ae+nztWoMbO1IjdiJrkbUNdAHFtEl76GPqGjHQ7Hvk0yZjWZOsJXN5H+QgDf2Q99Y7DP2I9tDHNjRSpj7K7V1uDkdtkMcyJicnZDFcGMUjtYUo5o52l7cS3UvDNhgk0mhbPQ8BHBvL8LnjY1iGluj29rlaH9B1QnRNdnb75GKZ9B5n9lZzyPWdASQRkzCOcZP2mDlLRh7OTufvaJ+5SxzHLDcHvLMqO97pukyZmMjZHKncO40gjGK2ei4rrSHtYcBG12HghVQyFouJ6sbCdOGR/2DdILpDM1kgbxwWD+gER3HMVtdlpeWMNIx3fzxnCx+sQoQyNk8nyvk9OI9qszc6Dpe2+2SzNhkRc3Jc5u26QcT1Rp8Lmz02Oi6WIfjYQpEXZ4v7nKb1jsO1ukwT6LsBQkDGMsjbBmemcqRMnZ4b8N56By9RuZnIWtxMVo/aiS6wG0REccTAi4himcqwWEpzcjLHyckskzmby9s9fu/aDgM/ZLvnYukCP4SsrVNKm6RNjZ2BT2sYUEqbHBtLszCRp9EestF26CXRYVPXKGUMGj3pSOtCcG4mx3xJtj1e77qjlaliypB68ElRWdbSmS+mqfdlgfR2z6M18IliWCinOTaWTuQ0Db52rcnl7T4gG4Z84cQYbSfkZnOYpIs8XFP97lQ2SIqHS2nmpx5us3dt7HJTBkB257BUliuqT7ITrOza04lyfh/CwAv51nKTy9u9pFBAY66YYuhHo2KGgReSNqUx3hn4ZG2DsayJbehM523m7pMP5YcR5zdkV7ahFxAjRqLlZ6dvN8AIohgr0QTedRqHfsiV7f6oAKGYMjg+nmXghawOfLo9l4yp4QTyPcII0pbGpxfLnEgaYjT6Hm+utLnaGBDHkDIFL80WOZWkW4AUmL+0LXV/i7aBpWts9FxW2w6uHzJVSPH8TJ7Fu/KHd+k4Phc2u6y1XRp9j7GsxVhWFvstVTL7Cu/gdovileaQlfaQ9Y408qW0wasnJ5nLGI8VdR360qDvbel5v6W6exHH8ShqviuTtqsQMV9KHyiv+GEoY/N0opzfg/O4Hd42nJBOV+bcVidvF+22Bj7fudXk6rZMGVsqp/n8yTEydym2DP2Q2maPjhsw9EL6SUTWNjROJ3Jojh/y3nqXgR9i67JT5a2WXPnRhSz+vbItlXY2ew5BGGObGuW0ydmpAtMFm5MTOfpewG9d3KYx8Gj2PdxA5uXqmuDIWBrXj3CCmJXWgJRpcHq2wEzWJIqhNfDY6LqEEehazGwhzUbPpTMM6LsBi5U0R8cyvDhbYGcQsNaW3UABUoZMydu9yZ8tppjM2yw3Bry33mWr57DT99F1mdt7ZipPdSrHRtvhq9d38IIY2xB87tgYC+X0HUEYUxcslTPMFO6fm+v40gne7LqjuomlqTwlXdxTTeJuojhms+tyc2eIG952gheSFdUn0QlWdu3pRDm/B8ALIt5caXF+s0fPCdB0mC9KRYKYmGLKxAlkJCClawz8iNbQxzI0xrImpqYxlrWYK6b2GYAojrm81U+WrSKCMCZtSZm105M5spZObas3konZLYbbTavY6rpca/TxQtkKeaaQYnG6wHevyCYXOVtnMmvzjRs71Ps+ugaL5QynJ3MjzcbV9pBv3Giy3ZVSbONZi5MTWRbKaSoZi9bQ5/xGd3S9hWKa5eYg6Q3vkbd1zkzneXG2cE+nNIhi2T657dAc+jhByFTOHilqLJXT9zWM7aHPcnPIxc0uOwMf2zZIC3h5vsSpyexjGcOhH3Jzjwj74/S177kBK8ly3+4foMytS90zEn5QlLF5OlHO78F5XJttZSy+dWl71KlxVx9dE7IJz/mNLt+43iSIYvK2zqePVjhSydzRWCGOY261dtv/yhqIQsogYxmj64WJFnDbCdCF4EglzWbPpedKNYWpnEVtq59EOh22ex5526CSNTk3XaCUrNQVUwZfudpIVth8mkMfU5MN66tTWXRNk02Q2kM03SBnCl6eK2IZOp4fstp26PshAsFs3iaII9a7Hq1EdWIiZ/OZo2Wm8tJB3+2sFscxYRgTgVT4MTSOj2fJ2waXt3u8s9phrePQGvjYpsZSJcMr80Wm8jZfu9Zgo5OsFo5n+IGjFWK4Q1M9Y+ocG8880M7t1nNsdBzSGZt+35XqRkkB3sPsdhTHrHccVprOyAnOmDoL5TSTT5gTrOza04lyfg/IbiHYu2sddgayX7s0QCZOEGPrmszdSiTLQC63t4by2ErGQtcEeVumRIzflRe8vCOdyTCK8cMI29AQQt6dL5RSrLRdlpNiuIypU5283aIyCCOWm8NRa89SIUVOSPkbJ4hGkZLaZo9LSQR7PCe1i+eLaeZLKTRNUNvs8c56RxpFQ+a2ltOWbMVpGVzc6jL0pe7v2ak8XS/gvfUuyzuybfFcIcUPnRijcB9Htt5zuZS0cu44AbahjfLCymmTxQc4wQMv5NJWjyutIdstWcVdSht8fKHE8YnsYxWhDbyQm80BW99DX3sn+ZHa2LMEmbX0UYrHo7bIVsbm6UQ5vwfne7HZO80+N5vDkT56ztY5PXm7i1uj5/E7V7Zp9PykU2aWExO5fQ5Tzw2obfXouwHbfZ8oipjI25TT5khv/fJ2fxT1XCyncfxwZCsWSyli4NvLLa7vDLjZHKILGM9YnJvNM5mXaW+LlQwXNrpc3u6x3XXZGfpS2lHTmCvaHBvPstl1WW479JLflVOTWRZLaTRNY7PrsNXz0BBkLI2xrE3PlbJjKUMWwFUnc7x6pAyQOMFyZcvxQwZeSNY2sA2NsYw5ynG+vN3jzZU2Ky2HjuuTMmSB26eWyuz0fd5e7xCE8ibi1SMVjo5n2Bn4XG/crjkpp02OjWceqInuBRHdGGorLYK77ONBJM52I8G3msNRTvCuOsSTIpGm7NrTiXJ+H4E4jlneGfLOWpu1jszlsnSNmWKKOOllvhv5lF13BF4ondnOUOaZFdMmuiarcu/OC96bYuAl3Yl0TVBOm5yeyuH4EbWtHgNfalgulNMs7tHE7XsBV+sDfE121LF1gR/FUsJGCKqTWZwg4v317kjTdr6Ywjb1UfeenhdyfqM7KvaoZKVoumXI/vCdYUDfD9EEnEpaMF/c6vH6rRaOH2EbglePlDkzXbjnZ+gGcg6toU8YRRCL/z97fxJjWZrl+WG/O09vttl8DI/BI3Ku6qpid3WTbKlJgSBEgCAoUAIpQRC4ELQR0YA23KgJCJQgSAsJBLkQCEigFhIBgoRAcVLP3TV0DZ2ZkRmDRfjsbrPZm9+dBy3Od689MzePMI/wyIzIsrOKcDc3u+/Zu+ee73/+A4Zx9lnqqSH4MjoEgNdy+cNPD/j57nRJlGHxkxtd7gz81wogqeuyXPvNjvNaQ3BelBzMJMq6RipMXWOr47LVca7MC75uNt/Nuh5+r15vomdPooydo7mkuGka91Z9tpQHeZQV/JMnI54MheN7t++LcGvVP2dLWVYVz4YSKDRPc07mKetth7YjgTurgX2me0AoUq6p83Qkdo6rgc1bKz47h3P+6MkpnxwuiNKctmPxzrrPBxsSw/zuWsDRTJwNDqYxwzBttBgD3+b7W2183+GPPxeahK4sNt9eCVhr2cwTOWDnpdin9TyTrmvxdBixSHNcy6TlGPzenT73VvxGF3IwTSirilGYkeQFg8DBs3Ru931u9lzKsmLnaM6fPh/zfBgRZgWust78wWabnaM5x/MMU4d31wJ+WyXf7U1ino0kqU4DNjsOd/qX+wPXv7eT4YKDaXyuPzbi4Y77pbHHNSf4+Thq+r5j6tzq/frDMq772nezroffr1BHs4Sf7014OowwdbBNETK0HImapKJJzwlsAw2YpwVlWTFPa0GCKcOtprHREV6wZxlMooyPD2dkhfg3apqGrmk4hs4Hm8LFfTI887BsOXLyXz59p4bOTx+dKnGGRGlauo6lTsxd12wG0HGY0/Nl7Ven92y2bZ6OZWU1jXOSvKDv2yrRR0RvwhE2uK1WhaMw4x8+PG1M4+8MPP7avcGlHsi1WvuJQowNDVquyTwpzgk4LvPXrX9vWVHy4d6UX+5PCVNxxlhv27y/3uZW/6vxby/m2l/Fw/JilVXFyTxldxI361kNWG3ZbHdepr1crOtm892s6+H36vWmenZelDw8CRv60kpg8+5qgG2K/uIXexN2JwnDMGGr4+LbJhtth7sXDsnTWAbpeSL8Wds0Gh7/vRWf4SJl52hBUYkTxEbb4eGpeK8HtsEHG23ysuQPHg35Rw9POV4k2IbBRtvme5udRvhVUrE3SZjGGafzlEfDkDQv8S2dn9wd0DF1npwu+PRIbNdcUz/nnLA/jZknBVBhG4ICQ8X+NKGqwNThzsDnvTWhtOVqCD6cJSR52aDYay2Hnmc2Xup5WbFzOOOPnox4PopIi3pbGDAIbF6MY9K8YrUlIMNbK0EDBO1PZdto6BJdfKPrvrTtWv691UPs7iRufH5NXWO747Lddb8UbKgt0p6NokZ8XA/RW52Xf/avoq772nezroffr1jTOOPDvSmPT0PSoqTvWuiGoLSmruNbOousaIzD+55JVlTCm6oqdeNq2IbWIL8D32K76+KZOh+rlKKqrNA0QNPQkOjNmz2PcZTxmUI+dA3uqNN8bQd2OlzwYnwWkzwKM4pSbMfEccHn82PhEkdZgaWfXYehmpFj6jwdhWRFRZILKlD/ak8XKbM4Z+CLjdn7G210DX6+O+VPn8mKy7N1fudmj/fUGvFihWnBztG8GRLXA/E8PpglzYqs45jcHngNv+zi7y3OCn6+N+Xz4wWzOMc2NTbbgmJflV92sS4bguuH0JfFLy/XNM7Ym8TneMEtx+BG99V2eNfN5rtZ18Pv1etN9+yjWcKDExEGW4bGO6sBay2HvCj55HDOySJluEjxLJ2WK5u3272zsCAQWlsNKpwqq8Wtjst62+aDjTZFWfHR/oykKPEsnbcGAU9UGqaha9xfC1gJbJ4MQ/4/vzjgs+MFWSFONdsdj7dWfbY7Dm3X4mAmiGyaF/zsxYRRlOPaJlsti7dWA9Ks4Gd7M2ZxhmMatBxT2Wg6hGmhAIkK09BwDI31lsMskT4epiVritJ2o+dxo+cpy0cZgqexpNG5ls5ay+FWz2281Muq4pODGf/o0SnPR/LcsHSNWz05/C+yElfxh7+32WYlsAnTgkeniyWvYZ3bA/EUrvvuq3x+h2Emzj6KS6xrsNmW6OQv67OXhWVYhsaNrsd255uxoXxVXfe172ZdD79fo+Ks4KP9KY+HEcMwZaPtUFXQ8UxMXaftCOo7Tc6SbOqGUbs0JLkIGnSdJo7Ys+TEP4kyxnEOVBia3ih6VwOb99ZbADw+PYvo7Dgm9zdabK21m9cWZwWPhyHH85RZknM0TaQ5dl0+2GgpH1tBkX1Lx9T1JlJZ1wRNidKCuWowgW3g2QajMGMcSfMy0LjRc/lr9wa0XYvhIuUfPDzlcJqgK4Hd9zfb5x42dVVVxYtxzNORoMCuqXNvNSBKC15MosbPsk6le+dG79Lf2yhM+eRgxgslqvMtg422Q8+TA8VG27l6Fr2qRZrzfHQmaqs9LG/23S/kuV2sJC/Zn8Tsz+Lm9diGxmbHZbtzHu24bjbfzboefq9e30TPjrOCz5fcb9ZaNu+sBo0H+oFCP00dDNVnHVPnrcH5UIVJlPH58YLTRcqLcUTbNdnqutxfa9H1LD46mDbCt3dXA07DtPG4vdlzeWvgE2cF/79Pj/njZyOGiwzX1On7Iobd6npstR1maQ5oBJbOJ0cLHg5DkqSg55vcWxF6xoOTOUfTlKws6bgWmtpEuaZOXkoCXFmBVsFq28a3dMqKJqii3ljd7EliWz0E70/lQH4yT2krJPv+eqtJ4yzLkk8P5/y9B6fsTiKqCioq+q5NxzPRNbF5fG+9xb0VQdrHYcbjYdgAGb4lSXSrLedL742Jeo7U1w00AvFX0d/qqp2Bno+i5mfXNpQ3ulcXMH+duu5r3826Hn6/ZuWKN/XkNGR3ErHiW7imgWXouLaBZWis+jbTJG9OqF3XZL3lMIyyBl0sS4nfRKvHLNCRWE5ZQxniF1lWVBXnYjqHYcrnRwuSQvhvP7w7oK1V5xDPcZjx8HTBMJSVkalr3Ox5/M6tHllRsnO8oCgrPEvnZtc7d20a0lASxUM2da3hGj86XUiKUi6oy4+3O9zfaOFZBj/fnfLp4YxZUrASCJf3ndWA1db5JCaQQVNWj/IebXdFeHasfH/rkImNQcDA0i41QC8rSXZ7PAw5maeMwhTfNllvCaK81hJf3looeNW6aJEGcgC5/Zr0iqKsOJ6fX/npGqwFDttdua7rZvPdrOvh9+r1TfbsZT9f29B4Z+1l7m5g61QVhIo72nZM3lo5s12sucBPhhL0E2YF2x2JdX9r4PPwNGz0AXcHProGj09FjNx1TT7YaGMaGj97MeEfPTzlySiCChxTY61lsxI4rLVsXEueEy3bwHQt/quf7zGJMnxbDu5bHZdRmLI3jVkkBYFjNHSzrmNiGTq6BtMkpyrBcwzW2zaBZRLlBaNFSt8Xb3rLEFrCVsclU0Pw81HE3jRhFue0HXFS+PF2l54v70NVicj77352wouJBH1EeU7HtVjxbVZbDrd7Hu+sBY392fE84cnwLCSj45j85N4KKLrfF9UizdkdxxzNz2zSWo74FV8UiF9W41Cil+sDUL2xu9nzrpTs+VXruq99N+t6+H0DVVUVz0YSh/liEmHoOuvqZrUMDU3TWPGFEywxw3LJ6y2b9bbN0Sw9W41XFZapo2taY/Y9jc8M0WWND6lK82my44uSBycLjuYpQeBg5AXvrgfnEMqqqjiYJTw6WfDoNGSeFPQ8k798V+xyPjmcsUhFzFY/DJaRz6woibIC25BAjr5n8e5awCzO+MOnY/bHMWiSovbWQPwg00IEdgczybC/qVb+b68GLw2OZVXxfBTxTCm5Ra3dou2Y7CuxhOlaLBaJDOk9yYO/2BSzxv0iYhZLjLRrCequa+K4sd11XzuqOM4KXoxjDmZx05xXfItbfe9SbvMX1TgSv+Dh4jwl4v2bfZyy/LVw177pum6kL9f18Hv1uup7HGfFOXvIjZbD26s+IyWSKyvouSaDwD4nwFoJ6hQ1GZRqR4jdsXiNd5UY94ONFrOk4IkaplcDm822w2fHEqXsGOIb3PUsng5D/vjJkI8PZmQFFGWBZ5usBDaupdNyTKFX9AM8Sv7w8ZCdo4W6Hou1wKbSNE7mCeNQBuOqorGdBI2tjs0oKkjyAssQz+FNNYzOVaBHYBmgCc3uphqC87LixTji86MFL6YRWV7h2zrvr7f48Y1uo3OQIXjO3/7smP1JQpQXRFlOz7XY7Li8sxpwoyfARts1KauKg2nCs5EkfAaBg1uV3F35YmeIutK8ZG8as7/0rHQMne2uiIe/jNJwMXWu/h3d6nmvDXxcpa772nezroffN1hDtXrfnwq36lbfxdJl+NU0QUzvDHzSvGwid3U1EK60bPYn50+9NQ1hkRYsUslSp4K1wGar6xDnSzSINUk9OlmkHEQ5w0mErtEoe5eHvLyseD4M+bMXY07mGZomat6/cqfP3jRhbyo0iJXA5v5aQKaaZG1cPoky5olEJ7ddi3srvjT/ozkf7s8YhSktNWA6pk7bNhmFKadhxqmih3Rci41XRA03NkQKHd3qyDCt6xqRpvPR02Fje2MrntdlTTFMhfJxukjFcifJcQydwDHQ1MFks/16bgwgNIYXSk1dU1G6rtn4Ir9OxVnB3jTmYCo85yBwSCJ5j7a7X859+y7VdSN9ua6H36vX67zHF0W1jqHz7nqAqWt8dCCC4sA2eH+9xcki5cVYgiIar/S+OL2Uipb14HjOs1FEVlZsdRy+v9mh5Rh8pjZmgW3w9mrA02HIJM7P6TOO5wm/UOLc01C8fuO8pGUb+I5Jlpd871aPrqlzZ+Dx8CTkp8/HHM9T+r5F37cwNI1FmjONC0VBsDiap/iOQVZU0ottg5NFimXo2KbG7YGPa0r/0KhwTONc37zZ89jsuMr7OOLDvSmHU+nxvq3z4+0OP9g6826vqoqPDmb8vc9P2B1HTOOCrChouybvrrV4b73Fnb7P3YEkweVlxe44YpxXTGbyTHlVz7+s6k3ZuWTNCwLxL6ooK3g+is49U3ueREpfljD6Veu6r30363r4fcMVZWIVdjhL2J/GMug5ZtMMQIRtt3oue9OkOZ3ahsZdlXi2O4nPDVaBbeCYOtM45cFJxCIplCetDG2uJX///rqgDUHb5acPTzhQ6t7ANnhvrfXSqTfOCn76YsKHe1PKSuI3/+pbfdqO1QhIlr/v8tCX5AX704S8LFlTq6X31gLmacEnBzIAL9KC1ZYjYoqyUpwsiQTVNY21toOpy/B6SwVu1FWjwLVgzzF03l4LeOdGj9FowclC6Bv1gFyL9G5cohgeRxmPThfME3HcyMtSfc3ZZ3hFiQ173tUFcllRsjuO2Z3G5zx+b/ZeLWh7VRVlxckiZVbC3sm8+fO+Z7HVcb71EZ9XqetG+nJdD79Xr6/yHtf+4LWOYbPtsN1x+PRoQZgV2IbGBxttXMs4F4F+0b0gTAs+PZrx6EQoVS3X5J1Vn3dWW43wzdTFTnIS57wYnwcQ4rzkl/tTngxDHp+GuKZBVpbiw2sblJqOrcN76wE/2e4yiTM+2hd/YNBYDSws02AaZ0DFNC7YbDvM04J5kjcRyjd7LvMkF/cHQ+wp19pnW8i1wGaWFA0/tqa/bXcc0DSenob80xdjThZCHWg5Br99q8cHG60lcWDJL/dn/MMHJzwexkyiFDRFcbjZ5d6Kz3vrbTbaQm/zWi6/eHLKvvKhf91QoaqqGEUZu+O4oTTU7+3NS4KjLlaSl+xNYvaW+vTr0Cm+rK772nezroffb6DysuLz4zl7k5jdSYxnGay3hHsVLzlA3B14BJbB42F0Xiiw4tN1TXbHcsPWQ7Nn6rQcg6ejiMen4jXpWjqWLmimmI4H/PDugMkkYhxmfHYsjhAacKPncqfvv7RSP5wm/L0Hx4zCHEMXKsV76y1O5inTRFCMOwOfW8pNIitKdicxe0oZvT9Nmsb6w+0OK4HNp4fiR5zkBR1XnC7KSlwiThcpLdvA0CW73jGNhke83T2PUi/SnM+PFs3D663NDhuO0Qy4I8VhXlYMb7RlGF9GBqqq4mie8uQ0bNacrqljGRqLtGiQAc/S2eq8nkAuL6uXPSxrH+creFguV6/n8+Jw2rhE1Acgx9DZ7DhsKheO72JdN9KX69s2/N6/f38T+N8BP97Z2fndS/5eB/59YAbcBf7jnZ2dP1Z/9y8A/xpwBFQ7Ozv/3mU/41fdsy+Kamug4XieMoqyc/SxRZrz+DQ8515wZ+A1g9zeNObj/Zn43FYVG22H37rRYZ4UnIZZg/i6lsFnR/NzAIJnGRL1rnjJVVWh65BkJUkFSZJTVLDddfgrdwastGw+PZzx8CRkFGUEtkHHNRvnnqKqsHSdQWCyP0kokUGv51pYhvRp1zKxTQEGPNtA1zRluSh+vXXfNHWN7a7YOmqaiAT/7PmYqfr7nmfyl253eXul1Tw/sqLkw90p//jRKZ+fLAhTEeBttR0+2Gzz7lqLH93ocGO9w3gcEmUFT4fnQ4VqbcdVe+08ydmdxBxf4AVvd748NCMvStlsTs40JJf57b9uXfe172b9hRt+//zZiP/rP3zM//z37/LX3+p/o2jai3HEo9MFx7OUMCu40XNpKT/dGrFsO4IgRFnJk2HYrKU6jsndFZ+WY8pgNYkbDrBtSPjF02HIKMzQNE2saJKcjmvy/dt97vflVF2UFU9HIbvj+IxHu9pqRA115UXJP3k25tPDGWlesdayeUutryZNA5T0o3r4qoe+Op1uEuVYusbNnsvv3OpxqAZdEJTaMcTGbBhmvJhE5HmFbWms+uI7iabhmjp3Lyiwq6pibxrz5DTC9W2SKBWqhTK1B+FFPx/H50R6q8pfc5lbXCgKx/Kas+9bOKbBMEyb91hXMc+bnS9XHNdVe1gur+lex8MSzt+QeVFyOE/YnyTN99MQxGO74770O/y213Ujfbm+hcPvvw4kwP92Z2fndy75+/8x8M/t7Oz8r+7fvz8A/hj4AHCAD4Hv7+zsJPfv3//PgP9wZ2fn71z8Hr8uwCJMi8beEWTbY+haM4xtd0XUpmtaIxCu+/Sye0GSl3x2NOeX+1PGUY5r6XxvI2AQOI3zzmpgc7vn8uAkbACEuwOf7a7DwxMRR++OY9KiJC9KgsDhYBQyXKRkZUXPlV77k5tdJZJN2B2H6KrX15QAx9SpEHeLJC+ZRhmLVHx6PcsgLUoCW4R1q4FNyzXwLBPfMnh/o0VeVDwbR4wVorq8QTN0+Ohgxs9eTJv3YTWw+MnN7rlQiyQv+XB3wt/9/IRno4h5kqHpGnd6HncGAX/1/jr3OnYz4C7SnCfDMyvJ2l/+5oXt3xfVZbzgq9LYirLiaC6BRA2dQtfYbAud4nUocHDd176r9Rdu+P1f/2e/4MHJQm64rsv/6Mdb/OW3BvivYV31OjUKUz49mjOJMg5mCZtth7Zj0fMt5nFOUpyhsuJukDZCAZAGfUeJMI7nYr9TN6K8rJjHGUWFohJImIZpGRhlxe/c7vLeehtT15jFOZ8dn/FoN1oOb62cT+Wpqoqno4if7044miW4lsGNnotjGCR5gWnomLrGu2vio1lXqYzHPzmY8eB0QZYLovHeasBW120eLj3P4v5aQJgVPB/HfLw/ZRTJg8hTDg6BY2LognC/NfDPcbPirOAgLnh2NGu+37trwTmEN0wLno/POzNclimf5iXPRmcm7eIx6RA4JqeLtEF+5NpeDw1+lYflZYj0xXrVDTkOM/amMtzXr8uzdDbbcl1XTaL7ddZ1I325vm3DL8D9+/f/OvB/esXw+58A/93Ozs5/ov7/Q+DfAtaAf3dnZ+dvqD//m8DNnZ2dv3nxe/w6t3XNQXooUfKmrtFyDKaxoJY9z+KDjRaWoTeBCsugxHJfOl2k/NPnEm9clDKAvr/RYhLnjXPO/SVOMdDEJx8vEqFQLFLmSUG3ZXMyiTANjSfDiNFC4plv9Fx+fKMDlUaY5exOhGpWVeIGdLLISIsS19JwDQPXNgkTSeGMMwknCtMcy9BpOyY938KzDLqeiW0I0HCj6zKNc56NzpwS6pTLmz0PnUoChQ7m8pzRRaz9vY02twd+08+irOBPng75hw+GHM5iJnGBa2m8vd5h1TP4nVs9vr/ZxjLPBIVPhmcoe0PB6F59W1YDDntNAMgSQPAlVml1n96dxM3wX4MmN7rulUXM133tu1l/4Ybfo2nM/+UfPuKjwzlZLifk99YD/tm3VvitW102Oy970X7dSvKSTw9nDMOUw2mKbWqsBDZ938Y2zpAHx5Qs+o5rsTuOeDE54yhttBzuDEQoMAqlmY6ijLKqGi5VxzFxLZ1ZXnGgIjgHgcWPtzuN3csyj9bUNe6t+GwsGZKDDOwfHcw5nCVMooztroNt6ERZIZZrprhZvLMavHRSP5kn/PnzCY+HIVUlp/G7Aw9D1zF0URu/v96m5wuH+OODKT97MZWYUl1eg2FotByTwDbpexZ3B37DV+71fD57PuLh6YJMOV7c7J2PeYYzIdn+NGneQ8/SudGVFWa9uru4iqu5fgPf4mSRcjhNGipDgwa3r466TqKMF5MzRBq+2MPyy27IJC85UAK5+rrqZr/Zcei/Bmf5V13XjfTl+g4Ov/8t8B/t7Oz8F+r//zHwt5Dh99/Y2dn5V9Wf/9vAX9/Z2fm3Ln6PNM2rr/IZNQydoii//AuvUHFW8OnBrLkvLV0jLUs0NDzL4Ec3u83GqCwr9iaRBBqpIbjvW7y91qLlmOwcTPmjx0OmUYZp6Ly33iJwTBIVQPT+Zhvb0Pl4f0paVNimzve3OlTAR3sTplHO8Txh4FlM4gw0GM0zdg5n5FXJauDw27d7WIZOVpSkZcU0zHAtg2mUEecl41AoUn3PwjA0ylLAkVGY4Vs6mia9w7UMSbtzDBzTYBDYrAQ239vq4Kjv9+Q05Fil5tX83DsrPlUFP3s+5tODGdNYXutmxxWh24pPTwEV4zDjb39yyJ8+HXI0SZimGW3bZLPrcaPv8fv3Vri/2W7e33GY8vjkLCjDNjRurwTc7Hmv5XoziTJejEIOZ0kTxtRyDG72ZUv4Rd9rFmc8G0YczuLm3/Y8i1sDj7WW84U99U1+Lr9tdf3aXi7LMr6bw29dH5+E/Ad/93P2ZwlFWbLiOby16vHeeosfbXe4OwjeqDdgVVU8UTnykyhjluRsdhx8S/hKJ2HanFzXWjb3VgI04Nk44mAaN84QtRLZMnTmSc4LZelyGqYcTBN82+C9rQ56XrBzLCIvyxSUe6PtsNl2aTuGoAvqtNtxTN5ZO289FmcFnx7OGUViw2YZGgPfZhxlpHnFIBDrtvvrrUuHuMNZzB8/GbE/EQTWs3V8S9KKWo7Bnb7P7b6HpmlEac6fPZ/wdBgySwr6vompa8yTgo5r0fNMNjoudwdewx/LipJHp2ET2elZehPXuVwNH3eJNlJTEba6Z/zZiyiEbWjc7vtstG1GUc7BNL4UDV5vXQ11DdOCF+PoJQ/Li2lvVx2iatTiYJacs0tzTJ3NtsNG+/UcLH4VdT38vlzfweH3O438XqyjWdIcpIuyFBTVNDANQW1Xg7N+UpTiI/58HDU6jJXA5u7Ao6rgnzwd8eBkQVlC25Xod9R9vam2Psu0i9s9j7W26CNK0+DxwRRPiZejrCDOS3YOZ0yiHF3X+P6miMiO5ymuqRPnBS3XJMsrThYJcV4yi3NcU6fjmERFCRVkZUVRlBhqeK6qCt82uN33SIuK1cCh45q8t3bmwT5PBAk+WbxsF1aoJLinw5BxnOOYOhuKMrC8YXsxDvl7n5+wP095dhLK9dom/cDiVtfnxzc73Ol7jZh3HGY8GYaNvmPZlu11huAaINifxs0G1dS15hq/qC/W4rj9Ja2NawoCv9G+HJG+7mvfzfoLh/zW1ev5PNkb85/+dI9/+mLM6SLD1GG1JQPizb7L26sB7yqT9Dflu3q6SNk5mhOlBUfzhL5v49sG2x1ZqddcVEPXGq/cJBc+cINOajLM1hypOCvYnYiI4tk4RDcNKAq+t9EmVQ17EmX0PIt15bCwGtiYus7xPCErq4Z6cbvvNzd4qfLbn48jsrwkVjn0eQX7kxjfNlgJhJYhZu8vp7c9Pg35py8mnIYpVSmvS9cE+b674vO9jTa2qTfWRJ8dzRmGGVFWMAgsFknBKMwIHEGBf3x3wIqtN6u2cZTx8OSMm1cfHC6KwqpK3BR2x/G5BLu1ljTEBoVQyEf9Na6pc2fgs644dQez5CU0eEX5fF7FKeJVHpZbysNybaX12jdkkpcczhIOpnGznq25zJsdl4FvvfFtxlep60b6cn0Xht/79+8HgL+zs3P8Xeb8vqqyouSh8kgvy4pRlAov1pYB9s7AO3df50XJi7EcqGtB6kbL4XZfKF5/8GgodmdqU9T3LCxTJ7ANPthocTQXkS7Umo+AaVnxcH/KNMpIipKVwCYvKsqq4JPDhRK0VawFDj/YajGMchZJjqFreKbBastmT/mGlyDR84FFWVZEuYQflVWFaxosUtFmLFR4h6MG7o22w82ux9urfrPRu8wurOua3Oy55CU8OF6wP40ZhimeStWUNDuPdTVIP56l/P2P9zmYJRzPUoqyxDJ1Oq7FWwOf99YDbvbELtM2dYahUE1qMGjZlu11xMNlVXEyT9mbnPV8ECph3Rdf1a/zsuJwJqLuOrDDWBqgl6lr133tu1l/oYff8TikKCv+4NGQv/fghP1JTJQVtGydwLEY+GITs9V2eWc9YLvjvlai16uqRlWnccbpQnx2+76Fbxvc7fsczZMm6jGwDd5ZDeh6FvMk5+kwbP6u5i3f7MoQnCsXhl+eLHimjNJ7vslm26UoS6KsJMlLOq7ZnH4tXaOoKpK8xDJ0HJXdvox4DEMZ2MWxQRponBeczFOGYcrAl7Sz7y2tspZLBCIzPj8OG1FZUVZNvvzv3+2zocRr8yQXp4g0Z54WgqqqCMtRmNHybVwN7q+3eHctwLUMyqpidxzzbBQ1B4c7fa+J67xYExUwsYxq9D2LGz23oQ2cLMQZohZE+JYgJWstW70nWYMGL6OuGy2HjY7zpR6UNVftYtrbO9s92nr1WvHJdVVVxSTK2Z8JzaJ+WNmGxkbbZfMK1/VN1nUjfbm+bcPv/fv3/3ngfwb8S8B/BPyfgf8F8MOdnZ3/pXJ7+N8DIXAb+L8tuT38i8C/DhwD2bfF7eGqNQxTPj9ekORl4w2+3habwZoHvFy1bqAOvdFAbdccPjqY8eH+lLJUdKmWzVpL6Fb31wIsQ+fTo7mkZmoaP7m3wmQiAukkKxlFGX3fwtI1bFPn6WnELw6m5IX0zfsbLVxD52iekivw4s7AQwMencpzLWoE0hCmJYXaHvY8izQrKagoSukbfd+mqio2OpKCeX+jdc6z/DK7sMA22O66ZLmECp3UTj6OyVrLxlMUi+/d7nN4OudPn454fBpyOE8ZRSlFIb265Zi8vRpwuy8DcJ12earsLGsnJEt5ur8OJ7iuy1wiHPNMy/EqB506Pnl3Sb8BYle63ZXnRb8fXPe172D9hR9+63o2DPlvPjniiTIpd01R1Rq6hm+bkq4W2NzquU2y2FXtWS6rUqGiu5OYOCuYxBkD38Y2ZMXSckwen4bNqn5ZoDaNM54u0RYuCgW6XY8/+vSQP38xYZ4U2KZELKcqFcgxdDzbQINmLRSnBbNUQiDariQQvb16JiarecvLSumirNibJuxORDyy1nL4yY0udwbepUjjSD1cjmYJh/OYYSgrOksXD9+/dKvLwLcpyoonQ3lvQJDRnmdxEiacxAX7ik/ccgzeWwv40XYXzzaIs4KHp2HD41s+OFxWkULMD5c8lWs6w6biBR/OEp6NogZRDWzj3KouzgoOZwmHs6T5GhB0ZKPtNA+8L6pRmEraW5gRBA6LRULfs7j5NczYs6JGg8+cIpava7XlvPYD5OvWdSN9ub5tw++vor6twy8IteHZKOLFOGKeCN1ppeWw0XL43mb70oSwOCt4OhR0tA6n32g7+LbBHz8ZcawQZV2HO32flmuy1ZFo4CfDiMN50qSgbXZcHhwvSPKCaZxjGRqebeKYGlTwjx4NOV2k4sqggI/TMCPOSqJM3H5u9zwZMEPpgzVokeSS0FlW0HUlPCNWB++4KLENcQcKXJNbPZf31lrcWw3O9Ym8KNlXPb9+drgKNU6ykoN5zCTKGYUZnm2wGth0Oy4eFZtth1GY8fHhjMNpwtE8YRZn5OqA4Nsm91Z8trouA99mq+Ow3nYYR8LHnS55E9/oiiPF69qT1X1xf3qG6Naaia3OF2/v5knO3oUgKs/SuX+zj1+VX9kq7dtc1z375fqNG34BFknO339wwkcHM47niUTh2gaWKeiiqWsEjklXxQzf6otY7OuslU8XqcRi5iXDMMM2NNquhW8ZvL3qK8P0qPEGvrPkhTuOsiZRCGjy2z+4PWA2jVikOT99PuH5WBrHWmCTFRVhVrDiC9K51XGZxDmni5SiFB7pMEzpuEIzeHu1xa2+h6lrjRtEvbLruiabbYe9acLO0ZxRmGHocKvv8/t3+5cOnXVi0nNlifPoNGSW5LQcsd95b73FvRWf9bbDNM757Eh8ipu0uvUWv3gy5JND+XkApqHxzqrPj7a7rASiwn54smiG0Y2Ww90V/5Wn+7wQOsMyL9jQZMW11RW09GiW8HQUNX8f2AZ3Bn6DkNeo6+Es4WRx5s9r6OJ/vNF2vtSMPUwLpiU83Js0/963DLa6ziv5ZlepSZRxML1wXZpQX+S6zF+JSO66kb5c18Pv1etX+flZpDkPjiVM58UoAk3jZs/he5sdtpYsFpcrygqeLQ3BugbrLYdpnPGzvSlZXrFIJab+7RWfjnJ+CNOCgzhnPI3Fg3jF52iWMo4ykrxQzhGSSrka2OwcTvlwfyaevp6lfHI1jucZZVUSZyUrLZuWbXKyEE1EVlToCK1rlhakRYGpyUHftTQc05AoZCDMSrJCBvF31wJ+vN19SeBbb66ej6NmiLQMjb5nEecl0zgnTHMmcU637eBCEy3f8wTVPZgmHM5iRlHOPMll+6iDa0la5kbboe2arLcctjouSV6c83Rf9iZ+3cGzqirGUcb+NHnJQefLnH2youRAJaEmudjUxeFZKueb1Ar9uuu6Z79cv5HDL8hN/fHBjD9+PGR/lhClBV3Pwrd0bEsnTsuGt+rZBgPfYq1lN2vlr7KuTvNShscoI0ylCXQ9ibS82fNYb9s8OQ3PUSHeXg0aodkoTHm6dDLudz0GlsZWx6Wq4NHpguejiGGYkZclvmVwOE+pqooV3+ZHN0R4cDRPG4eHw1nSeFiut2x+cqPLjZ4HiJp352hOUsh78c6qcGx/uTflU0WPsAyNH213+K2b3UubSJwVPDoVq5+pSmBDA8cw2Oy4rCu6yWrLbhoNwOZKwA0VjPFsGPLz3WmTZFcLAn+wdSYMeTE5Ozjc7nnc6L3azaNece0tWd+ArAllxWUKX28YNZzfWry3skQTycuKk7mgrstcM8/S2Wh/8Zqt1/M5OZ2zP03Ym5yFZhi6xkZLhvGv8hlbvq7DWXJuhVfz/Tba3ywt4rqRvlzXw+/V69fx+TmYxjw6DXk+jhiFGSuBzQ822ry30XrlRidMC56Nzoc5dBxDEOVJQqJQ2rfXWmy2Hd5eDbi33eWffHbU3JdbyoFnbxpTVRVpXmIaGoau41s6ugY/3Z3w+DTCMVWSW+CQFAWzRMKFKoRTnBUllq6jaRoVFUle8GKcsEhyirKk7VqstxwlvIVZUpAWJSdzQZhv9T3+yp0+766//JqrquJ0kfJ8HDf0BF2TZ1SalyRFhe1YHI4WDcVB1zRsXUPXNcI0Z5YUHM9ToqxguEhJ8gLbNAhsg5XAZr3t0HJMuq7JVsfFNDRejONz3sQ3XsNL/WLVmon96Rn4UTv7bHVenSBXPy9mRcXz4wupnF33nLXmd7Wue/bL9Rs7/NZ1ukj4w8cjHp0sGMcZrmk0XFnH0JmnBYbQUSkVZ2qgctg32rIme53T6HIWfV5IFLBj6riW0cQTp0qYUSOa6y2buwO/4e/WQoHKNFksknNq2ZrPlhUliyTHMnVOF8Kj1YD1tsPv3elyo+sxSwTBfDqU9V+UiRfxZsfmt250uTXwKcqKzxUyAiI0e3c1YBxl/PGTEc+Vr2XbMfi9O33eXg0ufViMwpQHJ+JKsTeJmMXiIxk4JttK4DAIbAJL53CWYLo2UZhwp+9zUyXOHcxifv5iyrNRSF6KwHrgWw13eRLnTaP0LJ23Vs5zmi+rRZqzP5FBsUZLXVNnu+uy3rI5XqS8GJ0Np23H5LaiQyxXmAot4mh23pqs/pwM/PNiyuXPZVlVDBdCiVgeVruuyY2u+7Uij6MlukZyCV3jm6BFXDfSl+t6+L16/bo+P3lR8ngY8umhpHYahsa9gc9fvjv4QpTvsiG4LCueDBfMkpJxlOFbBvc3Wvzg9oAtV+dgljZJdJ4lQ63EyFfkRYmmgaHL8NtyTI5mCZ8dzTmep6y07MbpoQKmcU6al+ia2LhRCfdYh2aAfDYKiTIBMWQbKAK/JKuYpxl7k4RJnGEbklL3L9xfaxwhLtZYaSmWbR1NDSzPJgqF+hHnJaYuUcuappGXpQKUhII3iTKirOR4kRBnBZ5p0PMsHEtn4NvNf2+0xSmpTumr39/NtgjBv4rTTeOgM40boAlkkK/BgcuAnF7PZ/dIUjmPZum558WmotB9F3zYL6vrnv1yfa3h9+tEaF6sb7KRpnnJh3sTfrEvNAjhtdoYmo5vi0J2nuTomoYGzNIc3zYZ+BZtx2AlEM7S69AiGsFXVhClBaWypdE1rQnCqO12yko5Pygecj2sZIbBh09OGyGVZWjc7HoMApuHJ4tmEGzZEl7x8eGcNK/QNMmG/9F2h+2Oi65rnMwTPj2c89nxonEnWG3Z/GCzxY2eR5gWPDwJKaoKR9kD9XyLJ6cL/uDxiKlSPW91HH58o3vpimpZsHYaphxOYxxTx7EMeq6Jp5BO29BwPJvxNGqCMN5TXpsgKW+/3J+JXY4aFvu+xUbLIbANFioIBE1TlI4vt7OrKRHLHLF6nbnRdpgpu7ma/3aRE1xX3VgPZwnD8EyMVtMi1ltCP3iVeOKyYbyOPN7qfDXEo76uS+kamsZqy2aj9eZoEdeN9OW6Hn6vXr/uz880zvhwb8rOkfTLjmvy+28NeGvF/8J/t0jFNuxYDcG188zRLCFMC2ZJzrtbXW61bX683cHQNXaOzgKJ1gKbKCuYq+eBrgnoomkahg5lKdSmnaM5mgaeZQIVLcdUvvAZeVmQFRXjKKfrmmyrtNFFnPHx4UJxeEt822C9ZfPDLYmpN3SdR6cLHp2EpIX44v/u7R5/491V3FdsoC5qKQLfZjQVMbJjyrOsqmQ7WJ+7J1HGLM5puwagkeQF4zjjZJ4RpQUdz2QtkKHbs3UGno1lihak5Uhvr2lwGgLG3LyQ7vk6FWcFB9OEg9mZXdqrnH0upnIezGRrt+y8s9qSTeZ1Kue3p35dw+9XitDc2dkpLn7tr6KR7o4j/uTZmP1pzCzOpUG0HfKiInAMHENjlhTomoala8ySnLQQPlbPt3BNo1krfRnvE0R08eh0wf40oSyFo2sbOrap46ogDM8yeDwMm4a6nEFfD1AX1bLibyvrtHp4dk2dO32fz47njaODa+nc7Lnc6ftsKxuwMMn5mWr8cSYn9dWWw42uQ98T/9/6Zr/Zc7k78Ckr+NmLCR/tTwmzEtfSudXzeGct4EbXfekUXVu6PRtF7I6lGa/4wks1DI2sqAgCh+ORWJu1bLEjuqGutUZQ50nO49MFj05DxgpJ6HsWg8AizSrSoqTlmg2Se6fvfSlKX1UVo0goEct+v23HZL1lk5fVOV9J3zK41fdYb72MzmZFydE84WiWNr+b+nf49nYXj/KV1IbLIo+vsqK7Sr2SFmHorLVlQP86bifXjfTluh5+r17fhs9PpTQLf/Rk2Dj1vLsa8FfvDb4Ubbw4BM/jnL1pxDzOCUugLLm34vM7t3rcXfF5MRKQowJcU4TXde/RNRmqCrV5LEoZio/nGUezGF0Xa7O8EMDGt03midijDcOMeVKw1bF5Z61F2zF4eBLy4d6Ew3mKRi0mbvOjGx3W2w5VVfIPHw7Zm0gIRGCb/HPvrPCX7/RfefCuxXGTomI4iaCqmCc5eSnf3zR0HEPHMnSivCBV9INZLE4XgW2SlWXDf16khUrrdCgKKKH5OtvQ6LgmuToI1B+wgS+c6K/aF+vt28EsOdf3a6rYZtthc6390uey5hTvTc/7sPuWwWZH/t13QSD3bbjnvqn6tdEevoqR+s7OzocXv/ZX1UgXac7Pd6d8fjRnHGUUVcVqy6HrmsSZDFOeqTOJJNfcNXWirGQSZdim3tykrqmz3hJE+MtQx9NFyufHc9JCOF9VVeGoBrvRcri36hOmRSMaA2kqv3VvFS09G15GYXpOKGDoGgPPYpbkxLlQGm71PNquwU93p+wr+y3hMzsN53WtZRNnJb/cn/J0FDIO5bVutMQkPc4Kkryk7Zp0VDZ9yzEZhxn/9MWY5+OIMC0ZBBZbykv5Ztd7qXnOk5zPj+c8VPGfjqlzp+9yb7VFZZk8P5o12fYy2Jqst50mOW75dyaDtPDDpnGGb4tgcRJlxJnwuVcDm3urPltXTPeLsoK9SczhLGmM0GsEV9fgNMwaKoFr6tzue6y3nUu/d5gWyv0iacQTi0VCy6kPTK/mB4/C9KXmGtjSXF+XdnPZa6wV2csuFoF9dpB73dXidSN9ua6H36vXt+nzkxUlf/58zIe7U4pK7ou/em/AvRX/S7ckYXrmnVuoEJ5hWnAyiZsD/webLf7qvQFUWhNLrwEd12SRFuRlJboTS28Q4jDN0dEwTY3hImOR5izSgjAV/u+tnkvHsUSYN4qUGE6EfD+50QXgz55P+HB3yizJlS2ayV+9t8I7qy3eXfN5Moz4O58dN4PgWsvmr7+zwgebnVfqBTodjwe7Y15MIuZJQVnKYJgWom3xVPiRr17L8Txhfyrc6JZrshZYFBW8GMdEygKz7ZjcHXgUFcqe1KCr0NhA2V/GeXku4v6mSu78qlusVzn73Fpv09IqVgL70h5/WSqnrsFaIBqOq8Yo/zrq23TPven6tg6/l0Zo7uzs/O2LX/urjMosy4pHJ3N++nzM3jgmyQssQ2e75+GaOkle4jsyBM/TOqXGoCgrxlFKlBa0XYuBCs1ouyabHZeNjvvKASdVKT9Hs4SqqsiUyMzQdWxD4531Npsdh4NpwsNj5RupSxrbO+sB/hKCOApTnizFSGpqfZbnJaYpFmf319sczWIeHM85nafMk5yNjkvHs7AMjc2Oy3bPI8kKPj+aczCNGYUpWVGxqVTQL0YhjmnQDyx+dKPHvdWACnh8suCT/SmHs4QoK7jR8+j7Fttdjzsr/kvD1NEs5ufPJ3x+NCfJCzqexe+/vcqtvsv+JGF/EqlIy4isKBn4Nh9sdfjRBZHdPMl5errgUOW/1xZAgW0yDFMWaU7LsdjqOvz2rT7bStj3ZVWUKld+HJ0TyHVcE8vQWajDBQhScGfFZ7t7eWSn0A8yjuYpB5OooZiIB7StRICX26bFWcHuOGJviX5h6BrrbYcbXwP1qGscSszz4ewsmAPOQjTWrmj7dx2V+XJ9UVTmb2r9Jgy/dR3NY/7+56cNCvz2qs/v3b7c6eZixVnB83EkKZWmyScvRoJ8JkXjOvD79wZ8b6PFs1HMC4UCW0pwXQ9SXdckzguSvCLKCqKsoOeJFWVRVBwvUk4WCbMkJ7BFS3Gj53I0S/joQDzVbUPnnTWfH2x1mcYZ/+DBCTtHC1KVEndv1eevvz3g/maHm12XP3w85A8ejZinkj53p+/zu7e7vDUIXlrtL//eluPea3ehUDlgtJXDUN8XT/vPjhYczhPKkmYbmRUVz8cRaV4SpgUtx+TewEfTYZrkGGj0VKiIhiC3eVk1/SmwDW503VeCEVepmip2MBOveM8XwMIytIYOd9mGrBbI7U/ihqdcX5OAS796+8kvq2/jPfem6ts6/H7rkN/lmsU5v9yf8ug0bDLOHTUYyipKbrY6i13XNHRkkFmk4t+IJl6LvvLbrdPXVgL70hvgaJbw4GRBXlaUpfBz66G/71m8q4zTX4wjRnnFdBaja7DddbndO7/Wn8YZz5T7A0CkEIK2a+EpakLft3hwsmAa5UzjjKKEjmc2TaTjmGy0bXUij4iyglmcgyao9yjKGC4ydF1Q6t+5LWK6RVrw4Hgha3+1/tvqONiGznrb4VbPO4eIl1XFs2HEn78YczRLcT2TFdvkn703oONZHM+TRih4PE+pKnkY/PhGh/c32ueGxeW0olpUWPtfzhNBrTVNokh/fKPDnUtS615V4gkqCG5tAm9oYBs6aVE1XFrb0Njuemx3Lkdmez2f4WjBcJE2Xp0NP1jTWAkEje9fwiMvlfJ6f5qcG8bfFBpcVhWjMJMQlqUQDV0N6Bstm8Er0I/6tV030vN1jfxevb6tn5+irPizZyM+3J+RF8IF/smNDm+vBlfajiR5ybSo2HkxZhimPDwJ2Z8llGXJSuDwzqrPP//OCq5l8NnRQuhOVYVhaORFhaZ6rm/X/N6S00VG4BgEtoAxi7RgdxLxYhKTZCV93+JG1+OtgcvHhws+O5qTFhKA9IOtNjd7HvuTmL/92TEvRjFpWWEbGr99s8t//701vrfZpiwr/u6DEz7am7LIClzL4O2VgHfXgnPbrst+b8vbsyQvGC4yJnFGR/kPr7UctjoO4zDj57tTjpWIThI3Peap/PuyqggVEnyz5+LbJtMoo1Bf27INigplGSd8YVPXm1TNV/Xhq1ZelES6zmcvxg0CD0KH2+w4rAX2pd8/WuIU14CCoWmstWw2O98eNPjbes+9ifrWDL9XidD8dXF+L6uykiCGjw/mHExi0CpxZzAN1tqOmJprWjOkVlWFaegYmqhaq6piFuckhahfO64liK6mMVADzkWhXJKXfH48P0NuqagqQJN/d7svVl5By+Vnj08FUUC4vrdUCMbyMLic316jmFlZsap+/ntrAZM45+lIQiyyosQzDUqqc4KtFd8SblSYUVbyMJDs+ZKHpwsyJabb6jh8sNlmo2UzTwueDCPCNGe4SAUpViuplcDmZvc8fzXNhW7xyWnIVFnw/GirzV+63cMydGZxzpPhgp/vzWQIB9quyY+327y1Epw7iSd5ye4kYn8qg2pRluJ/nOYczVNqAK/vW3yw0eJ237tSdDGc8Wb3FMoMcuLX1N/pmlj8GLrG5iVZ8xc/l1lRcjxPOZ6f5+HWEdXrrxCk1c318IJgY60lfLOviwbXr3NZbb18XWst+6X37LqRvlzXw+/V69v++dmfxPzR0xFHswRTE4uw++stbva9L0X0ej2f49M5u2Ph+b4YR3x2vOB4njTahN+90+fH250mpr1CtpGlerbU3P95khNmZWMbttZ2lL+uxfORxNU/Po2wDY2uZ3FvxWctsPjz5xP2ZylpUXCzJ9fesg0+PZrxjx6OGIUZaVHQcy3+2tt9/qUPNrnd93g2iviDR0OejSLmqQjq7q74CmEW3/loHl/6uouy4mguArFpLIDJaZgSOKa4T3Q9bvVdhouUP3s+4XQhvabtmmy2bIZRxsk8RdM00qKg45istWV4jBUKrmsaLUeEdtM4JyvKxkXJ1IW7e6PnfmWbx/pzWQMgR/MzOpyuwUDpVl4FWJzMU/an5x19am7weuvX6xTxbb/nvk79ugRvXzlC82L9uhvpJMr45HDO01HIKMzouqZKhTPk9KZQ4KwsEYkCTapZlAv5vyhLZomc5k1DMuBFySvJbKst+9yNczCNeagiLKnA1CFX74JvGfz226vomRiH16IvOC+KWx5KoqzghVq/TeOcvWmMpWustRy+t9Fio+PyaCk5zbcM+r7JLC7O+dg6pojSMhVbaarBeH+a8Eil1bmWzo2uK2JA12KWZizSklSlD7nK5QEEXb7Z9877JTom/83Pdnl8KkEbbcfgn7krVmq6ppEVJZ8czhRvrUBTCt23Bh7bXRGg1SfxvCibhLqGZlBVzNOcg1lCnFWNbdp212GzI//+qqfyWZyzP405np+5KMSZ8PVMXRIENcQ5ok71+6LPZZQVzSC8jDLYhsZqS1CGjnt+EK4FG/vT5KVVW91cv05SIchh4nguTb8e+EFcRmQQFm78dQzoy3U9/F69vgsP4igr+HB3ysPTBZMoZ7UlA9zdgc9Wx3nlAfqiY8DeNFG6hwUPThZMooy+Z/PeRsDv3e6z2XZ4OopYKAeIvKgwdLFB67gSGHQ0FzeJ/WlMz7NZDWxu913ivOTJaciDkwW745iWKw5F760FxHnJ58dy7UVVcn+txXbPoywr/uTpiJ/vSWpoWVVsdRz+xftr/Mvf28Q2dX6xN+WX+1OO5mnjj3+r73F7vUVLpbJ9kWB2rATFR8p55jRMsQ2dgW9xt+9ze+Bxskj5+e60ccxZCWwCy+BkkTCOcyxdp6rE6WI1sAkcgwrRf1BpmIaGZ0mgxzTKMQyhSTimfinocpW6+LksyjM3j+WeaxvyTH0VLaK2xVwGLDSUw0THoX9FAOZN1nfhnvuqde3z+waqKCseD0MeHi+UKTl0Pflwd1y5sUxNwzF14rygpk3Wq6qiqJioITLLS+JchjbHNJrB5CKilqgm1UQca1Ah6t8gcPC1insrEj4xClMeD8NmMPEtg7sr/ktet6nKb38+jtibxgwXWcO1+mfu9EmLiocnC6EHIIESay2Lk0V2TvyV5iVJXjTR0I6h0/NN9iaxCrXIRWjWkhV5XpTMkxzPNjE0FDoK9WHBs/QmUnqgBqinw5A/eDRkoqzUtruOPBQU7zgrSj4+mLGjBIq6pqkGIoeJZfSzKCsOZjEvxksm50CYFYyilHkiA+tqYDPwbQLbYE2Jvq7ifpAXJccq0agWJkZZQZjmaJqmDkzS5L9/Z3BOrPiqWqQ5x7OU40XSWLCBcIvXWpc7M7wKDR74b665vvK6DJ23tjo4ZfnSgP6bUNfD79Xr29Czv8mqKolI/vRwzsEsoawqiSr3bN5a8V/yAofLX1tRVhzOYn6+N+WXe1OejyVmfa3l8Ns3u/z4RgdD09idxJRK+FVVFb5tqsh7l3GUqzQ1uee3u47QrtoOu9OYp8OITw9njCOhHNROBHuTmFlSME9zbEPj/fU2LdfkZB7zh49HPBlGxFmBZcjG8V/5/ib/vffWmCU5P3sx4ckwZBRlVBUMOi5926DnCfp8o+d9YQBEkpfsT4TjfDBLOA3Thhp4p+9xZ+AzDDMenCwYhSlpUQmoocPeOGGW5jimgalrtB3p1aahY+gCjqRFiY48X7Oy5HSekpYVXSXU7nkWN5TA+yp96os+l0leiqB5dj5mvvYOvkzQXG9RD6fiLFTfLI6hHCY6zlfyMf4q9V25575KXQ+/b7AmUcZnR3NeTGKO54lwei1J1mm5kmzjWjq+Jb6E9aBlGRorvjgFDMMzy7B0SVFqGlqD/C4janVSWl7Kat0xdSzXYjZPzsUha8DxXEIw6u/fcUzeWvFfOunmSoG8czjnySgkzcWT8fubbX603Wl8DCt1LXcHPustm9NFdm59M08kXMIxpfEFtoGGRpzlhHkp7ga2gWMazWl5keS0VYT0ILBI87IZ1GxD4/1bfVoIQp6XFT/bFXVykpfYpsZ7ay1+uNVpRBfTWH4nNfJZG6HbpvweNtrivOGYOmVVSSrcOGqQ1SwvScuSvBAxySIp6Kkwk1ptvRpcfRCeqwCRo3lCplw8RpHQTjquxUbfRy9KbvZcVq8YYjFPco7mCceztBHBgBwa6iF92TrtVWiwo3jXG1dwIrlKzZO8QarjJSeLekBfCyS+9Dehroffq9e3qWd/kzWNxXv3cJZwPE/oeTYrvkXPt7m34p/rF1/02qqq4mCa8IdPhvxsd8pwkZIXJbcHHr97q8fd1YBFnDNLiwZICGwTy5R0zpZj8nwccTKXA/ggsNjqONxfb2NoGg9PFzw6XfDwOGzEcrf7rgzf8xRD0xr6xJYKHvrsaMafPhtzME0EcLEM3l71+Vd+sMVfut3laJbyy/0p+9OEytAoMhGHr7Vs2sp/eKvjstV59eap7sfPRyFPh+IBX5Tg2wY3ey5vDXwmUcZJmDJSz821lg0VPBmKA5JtCMDU8yTFTlNUxDo1D01rbOOGYcY4yvBsg54rz59bPe9Lbcmu+rmcxTmHc/ksZEvIbt+Xa1sJ7JcEzXX63OEsPgcm9DyLzbbTAEjfVH3X7rnXqevh9w1XLdB6fBpyMIuZpwVbbUeGVzRcu17pCy1iHGcNIqtrIg5rOSaTOONkSVSUlyWmriP47tl77xg6Hc9kHudEWQGaxmrPIwxTQjXALcchl6qRPhuFzVC54lvcGfgvDW9lVbE/ifnz5xN2J8LZck2dH213uLvi8WJ8Nui2HIN3VgM6rnUOYUxUzvvRPME2zkzJK8BUK6rAMfAsk0kk9jwHU1mfu5bORsvmzsAnzksWaXEuR73maU2ilH/ydMyzYURWVvR9i/fWW7ytBvuqqtibxjwZRkRpwSTKsAyNjmc1ASU9TxLXVpRd2SjK2B2fqXIXaU6Slc0pPcpKXEuQ7br5vM4gfNE/Mi9LRmFGpmmYZUVfqZ+3u+6VPSGrqmIay8B5skia32/9GVgJZPV5kf98WXPtKMHGm0p6m8U5sabxaH96bkB3Tf21UPRva10Pv1evb1vP/iYrLysenchGcBRKYMOGGvg2Wg53Bh6uZVz5te2OI/72Z8d8dDCT50ZV8d56wA+3O6z4tgrCQERfVdWs9O8OfKZxzvNRxItJRF5WbHVc3l0LeEshqZ8fyxC8O47JShkktzsue5OERZbjWwa2aXCn7+KYBlFW8PPdidAQolTEba7F++st/gfvr3F/o8XzccxBlPPkaIZWgWcbVFR0XYu2YyqLyC+3/JrFOS8mEZ8dzTmaJeSl6E22Og43uw5JXpEU8qypKhmQ86LkyTBiGKaYhrgrrQUS3GPoOrmaU4pSNDi6JpvTeZJzusjIy4quZ7Li29xWINJlPep1P5cNsjtLzguaLwQeXQQ+xlHG4TTheJE0/8bUtWbT93V1HJfVd/Geu2pdD7/fUM2TnAfHCw5mMfvTBNvU2WzZIk7TQddkmFnxZc0yjrJzkYorgajn00JW8stcSl0TZWhZVSzNNySZ5LqvdD30ohDvXWWBA+LJ+JaKQ87Lit2xqH9rd4KVwOZO/+VUnHqN96fPxo1Be8cz+f5Gi5Zjcbo4Qxw32g5vDXxsU2+CIQ5nCSdzGfKO5illVdFRA69nGXi2gW1o3FsJMA2N43nKo5MFLyYxuXqBWx2HW30X33c5Xvq9rfjiQdz1LJ4OQ362O+V4nqBp0hjvDnzu9H3arkmSlzw+XYjLRFWRFBW+Jc34YgPaULSIeZKzq5D8spImLJZBBm3HoKo0AscQ0dyS09XrDMJxVojF2TRGs0x2T+achimmrinrH5utrsuN7tVFGbXJugzCaUNJqa9tLRDUYPnaJup3dawEkKCS3pr34+vRFXo9n9FoIQP6IuVkfn5Ar9+z1cD+ziHC18Pv1evb2rO/yTpRnu1xVjJUXNauZ8kmquPyw7srrxSFXVafH835bz894skwYp5I8NK7awG3eh4tlZKWFRWjMKXtmgS2hPGsBDZPTkNeKKeFtit+uT/a6hI4BnuTmI/2Z+LjHmUUZcWtnodt6DwZyXvfcSy2Ow43+x5lVfF8FPPnL0Z8drRo0NaNlsW7G21+/+6AH9wZ8PHzkRrcUgLboGUbZEWFY+m0HekrLcdguyOWX5dZOsJZgtrHBzOejc60Gj3PbPQcmqLS2YaOpokF2otRzOFMKIlt1+Jmz2Gj5eJYOmlRNv2/qCpMDcoK5knBMBTam2Pq9DyTWz2voa5clvD2ulULmsXi7nyw0Koaai/2wrwo5XlxYS7wLL2xWntTtIjv8j33ZXU9/H6DVVWV2HCdSljD6SJlJbDpeqZCPWlA3JXAZq1lMQ4FJa1vxtoD0LcMjhWJvh5kNMRKS9cgr0RoVpQV07zkcBTScUxW28ITnsWCCOga3Ox6jQI5K0qejyP2J2exuWstmzt9/6XVd1VVfHa84Oe7E4ahUAjW2w7bbQdN1xrkcJluUaOi9Q27P4l5Oo44mSfKVUEEgZtth45nseJL7LBt6pwuUn6xP+XhsdA6dB1ur7UIdPEnzooS2zSa9+lG18W3DT4/mvNYrckC22Cz7bKlktxajsk4ynh4smioDYFt0HFN5klxrgF5ls5G22VdrZb2JjH7s5hUodmjKFMqapOOY9IPbMqSl1DXqw7CVVVR2RafvxhzNBdUXXww5SDT8yxu9zxu9rzXiskslYfw8VxEJMteva4pTXY1OBPyvSrpzTXPaBFfRRl98Z6rqopJnHM8F4HL8nU5ps5qUF/Xt58jfD38Xr2+zT37m6xUufXUIThpLvZglqHTabv0TO3S+PdXVV5W/NnTEf/o0ZDDWUyYlaz4Fjd7Ll3Ppu0a+JbBOMpJFSXAtw3urYiw7bOjeeOZu9ay+a2bXe4OfIqy4skw4me7EyWuzdGQnj5JcnbHEbZhsNayeXe9xc2uS5Tl/MmzMT/fnfB8FBOmBZ5tcLPrcn+7w7sDj/WWyzQRR4dhmClvX4M0rzCNOpZZ0Mw6tv2L+sw4ShtdR5zJR8oytIa769nC++04Yne2N43ZH8cczlOiTKghN3sut/segW0qYdwSyIQ8y8K04CSUlLmyhMAxWA9s7m+0udlzWVtpvZHPZR14dDFYqKavrbdepqMt0pyjmcwFyxu1rmuy0f76m7vv+j33RXU9/P4KKs4KHpyIbc3hVD7Y9Y1tGdo5J4iVwGa77TBN8nNxuaausdVx2WjbhFl56crENw10HSzX4tnRjL1JokIvaHLFi7JC1zUcQ+fuit/E7ya5DMEH07j5nuuKcnCxAcVZwSeHcx6dLATFMA22OsKbTYsSQ9MwDR3P0nlrJXhJWLdIBU395GDGwSyhKCpJMNIkhWir63FvxW+G53mS8+HehKfDiEzTSNOcTcVLjVTakWsaeJaOaehsqWH82TDkcJ4wCnNWAkvQ9LbDnb6PZ+kczBKeDMNm6NpsO6y1bTmAXGgmNS2i51kMQ7Eamqc5kyjjdJHh2zoD5cxxq+dhGTonl9AP6qFuJbDpXjLU1Z/L5QH0UFEjxlGGoUHXs9juuLyzFnwhSnJZ1QbtJ4tXX9vywFknvdUJdHW1HZP1tvB2r2rF82W8xkks13U6P89dtg2toWx0vZftgr4NdT38Xr2+Cz37m6zDWcJD5dmeK6vLoOU2QQm1LeVVP+fTKOMfPDzlk8MZJ4uUOCvZbItDkKmLhWTXNTmcCxiw4oun/I2uy7NxxEf7M04XGbap8faqz+/c6tNyZFP26eGMn+1OCVOh1QW2ycCz2JvFnC4ylb7p8f5Gmzt9j+NFwt/eOeaj/RnHi5QkL+l4JtuKL/zWqs/Al+fBJMqZJhkD3xEkuCyxdB19qZ8NfIutjvuFyWxZXvDp0Zxf7M+YREo4XhY4hsF626bv2/iWgCNFBQ9P5jwdRhzPJVBE1+BG1+WtFZ+1lngTz9N86TBe4RqyITyYJZwussYTvuOa/OjOgJu+9VqAxJf+TmPZkl7cjr0q+bPe9B2q66uBrNobvn52vS6I8Jtyz11W18Pvr7BO5gkPT0ImsQjDHFMEV66pY5s6UVY0g+dqYHOz5xJnJbuTuEEka+uT7a5LYBscz+XUt2w5ttLz0LKcCng+ing6jAT11eVE6CirtUB5P95bEr0lecnzUcTBTIZgDUF37/S9l1Ypx/OEz48XnMwTTsOscUGIs4IwKwhsQ+KEXZO3V4NL6RRHs4Rf7M94fLogzivGKn3tRs/l7sDnJze7TbMchSkHUcGjg6kEb1RV0wRmcc40zpVnskngGPQ9i7RQqOciJUxzNtquDG4th1t9D9vQeDqKGgFfjVpvdRwmca6ayctBE6uBTQXsTxOGSnBxskhlUFPuCXdXAlZ8S4a6SwbhWui4EpxZ2V32uaxpEXuTiN2JKIDzosK1dFZ8m/eVF/HrrrpqjvDJIuXkwsDpGGL9sxJYEhuKcM6OFI2iWNo+fJFgY7mues9VlQSQ1Ne1jIKY+tkgfJlv5q+rroffq9d3qWd/U5XkpaRoKqrboOsRhanoNni1LeUX1aPTBX/0eMThLOZknpKVFRtKzFuU4ojgWjrTpGBTDUNvrwZYus7Pdyd8frIgKyo6rsHv3u7zzprYR4Zpzp8/H/Px4ZyylI1b37eAioNZyiTM8G0RvH1/q8PtnsvD05D/6uNDHhwvCDNx//GUd+1G22VL0crarsk0Fj3FSsvCMQ10wDR0sqKgUqCQY+hsKCeKL+pzT4chv9ib8mIiFIcoKyjKsknIXG8JLU/X4cHxgk+O5hwpF544L1lvC+Bzt+/h2yZJVjBe2n7Zhlh4zhJJ1ZwlBa5rkqY5W21HtCarwde2j6yrHmov9l1YQncvBGm8anPnGDpr7cudgF5Vv0n33MW6Hn5/xZWXFc9GIbtKLHa6EBVwzzNpOSa2oTOJs2bYWmsJ2b4oK/Ym4hlbv+B61b/WckiLkkNlsG04FouFBFy0HAPPNHg2EvuyOCtxTI3ANpkrS5iOY/CWSuapG0us8t8PZ0kjsbssgS0vSh4PQ/ansh6bxiKMaLsmozBjFudCC3Attroy0F4W5RylOb88mLFzOOdoLsOkaWgMfIv76y1+60aXtbZDt+vxybMRT0chmRLBWaaOa+iUyOroNDxzjWi7FoGtk6kkpFMlFthQkbxrCqk1dI1HJ4vmYeRZIhJZazmNVdnRhWZSu260HZNZnHMwT9SQm6JV0Fe+kW+vntkb1UPd6SI9JzCTSGqLt7a6mFn+ytXnLM7Zn8U8OF5Ixrz6Hi3H4M7A44ON9pVdIpbrywbOgW+pId1GA04X4uKwbMVjKDu+jVcINr7qPTdP8uZ9XbYLqgNW6uv6dUaDXg+/V6/vWs/+JqtGgR3PJolSBr7FIi2a9btn6dzp+1e23cqKkp+9mPDh3pR5KtSssoSVwCIvpa/LQE3jdrPRdnhrxed4nvInz0aczCWq+Xbf5a++tdIAI6Mw5Y+fjniiPNYNHQaezSQWcGEa57Qdg/fWWnyw2eZG1+XDvSl//9Epj44XhGmGVmm4tk7btVgPJPihTjcN04IS6Hti/Wgb4oWeLOlWQNDgTYUGv+rwOw4VZe5EHCzmSU6SlwyUfuKtgcc7ay08y+DZKOQXezOejELmsaSdthyTW32PWz2X7a4LlbhBLAMELSWqm5bw6GDahCPZpuhXPthovdbh5cuqFkkfzdPG5xhUwqZnsdpyWPGtc8+OOCsad6Hl500NVMmB6NWHid/Ee66u6+H311SLVARx40j4T4s0Z70lXMqBb6PrnEMcxaBc1un705j96VksoqlrbLRrjpQOjvBGjy8gdCDoXZJLczUNHQMYK4Vsy5F4yh9stemohhdlBc+GEglcv9H1wLh8eqwFftMkF3uwosSxdDQ0SSeLcrqeyWrL5t5KwM3e5alHWVHy6GTBJwczHo8ijucpjqnT9wQ9/r131/CpcAydZ+NIRVwKItv3LRxDopUnsbyvozATRwnboKqkMbUdi0WWYyn3CV2lyt3ueeRlycOTsBmy2soOrqfejxqFvRg04Zg6q75NhSh5d5WncaH8I2/2XD7YaJ8TSixSGepOlagCxKM5ChN6ngx1K759Ka2gVgw/Olk0hvpVJRHaq4HN/fWA99ZaTWDI61Y9cJ6G6XkenEZzbQM1CB8vxGZtmnwxyvAm7rkwLRrKxkURaNetr8v6lflg1nU9/F69vqs9+5uqJC85iHOeHs4A6LkmPd/icHY2sPiWwe2+d+UheBpn/NFjAQlSBRKAxPuGSUmYide6Y+psd+T7vrXisxbY/GJ/xs92J2SFWFz+5EaH37rZxRDzdfYmEX/0ZMTRTLZ0gW3QcgyOZ7IBnKcFA8/i7oocxt/Z7vJf/3yPP3k64ljdt46pYxtCUxt4Jn6T6OZKP9c1WkoI55g6XdekLCuG0RkwZBsam233C31v46zg8+MFO0dzThYpY2WJ1nZl8L+/3uIHm20822S4SPlwf8oDlaI6SyQ0Y71ts9l2eWvFo+vaRHlx7tncbbtUacYkztmbnI+W73km764FvLfeeqORxXlRcrJIOZ4LF7m+ob5oEJ5EEk1/PD8vgO66JmstQZAvPmt+U+85uB5+3/TlvHYdzRIenS6a9K6qgrW2jaMEBSVCl6g/q32VmtNxTY5mCfvT8yrRrmvy/q0+VlFQVTAMU4Wkys1aVhWni5Q4K5RNlwwqwyhlEkmDNHShHdxfa7HWcpRrhNAhlsV49cBYq1GrquJQ8WhlvV/hmAaGpjGKMqFnxLnwltoOP9pqs9lxL23mWVHyYhzz6eGMz0/mHE1TTEPnxorPDZV/vt5yCGyD/akIpkAa4q2+R9e1GIYZxyo6sxaOFWVJnItl2UbbwTZ0HFMoICCows2uS5SXPB2et4O7u+Kf88utfWwv8oN9S2Kuk6Lg+SjmeJGSFxWeSrf7wVaHjY5zDrWIMxnqUl1n93jO8oe665oMfJtBYJ37+XVJIlTMp4dzno6ixiHDNITC8cFGixs97ytTBKJMmv3pIj2HfIMcDmp6hK5pgjLMzgs2fMtgtWXzzo0eeZR+pWu4rOr37FShTsvvWcuRQ+RFa7dvqq6H36vXd71nfxPV6/nsPB/x6FSoB7qG0g5ovBjHzf0U2DIEX2W7U1UVz0cRf/p8rJ4tEk5UVJAVQnmK8gLb0Om7Jm+vtbjRc3lvrUValPzhoxHPx4Ly9n2Tf/beCjd6XvO9Pz9e8KfPxkzjvKE/GRrqcCpRyH3f5t5Gmzttm8Ax+QcPTnhwEjKNBEX1TZ1K0ygKsby0TaFy3ep7tGwDy9RxlKjZNgTk0TVxBFreAvU98S4eBJf73uZFyYtJzM7hjL1pwv5URHktR9Lt3l9v86MbHXqepTQts8ajuQYW2q7JSiDuQu+sBpi6LnakptFsWj1Lx9A0ThbpudAkQ5dQqPfWBfi5rI9/1UrzktNQBuHJFQbhsqoYqWfjMj+4/h2uKQqbqV9Ow/tNqb9ww2+ayyro/q2Vb80vNS9Knowi9ifS5E4WKa6pC5JpiuNAWZUcTs9icruurGUGvmS515SIoqoIAocsTs+dii+eFGPl77pIctquREGuBRZ7k5TdaURRyvC03hK3iJVAbgjfMtibxueEcfVAXqOjeVGe49Fahsa6og88GQlFIkpLLENEfD+50ZEgjlcMwbuqaT04WRAWFWGcs9F2uLcitm1d18RWvN/6IeGaNW3BJlHN4cVYnDfGUcYiLRiHGYZReysKh9RSjbbnWdzouMzTvLGD0xC6xJ0L1I1arFXHci6fql1TJy9LDmfKcqwQ14r1wOEH223urQTneLK9ns/x6bwZNkdLSEf9/Wp08zLxV410fHYk9JG6Wo5YIb271vpC8ciXVZqLVdNpmJ0TXII0/hqthorjecbx4szQPQgcyPLG1/erOEa8qrKiZBhm8p6FZw0dXuYvfxM84evh9+p1Pfy+XPVrk82XCHWh9mj3iTPpqclXGIKTvOSTgykfH86ZRJLY5po6SVkxCVPGUU6o0uG2uy7314W2cKfv8/hkwR8+GYkgGbi36vNX7g4awCMrSok1PpixSApMXQS5lBXTVPzeTcvAN8UD+N01nwqNP3x8yskiI07l0OpZOklREeclBhJD3PMs7g081tpuA06AbDq3Oy4tx+B0kZ3zvbXUgLzRdi4dMEulM3l8KsEZT0eiwfEtg65n8vZqix9stdnuCAL9bBzy+ZFQzA6mCUkuoFHLMej7Nu+sBvzgbp/948VLIEjLNsRHfZ5wNDvbwoqlm8O9VREsv8nDeZrXz/nkHCBwbhAOzihieSlUiosUNl0TcOud7R5Gnn9rtBVvsv7CDb//zz99xn/6s33ub7T5l++v8pffWsF7A2lWb6LCtODR6UKhlJKO1nZEFOCYghrWue/1gLXcBIuy4mieMisrDofnvXA3lxSzaV5yvBB+6u4kVje1uEJIDr3bRBbPYong3WiL32B9E3VckzArz5HwlwdyEGT04cmiQQsD2+B2zyMpSj45FJ/GNK8aPvGPb3S4t+Jf2szzsmJvEvHZKObB/oRFWpIVZeNI0QgMqoowK0WYYOi0HIO3Bj59dU1ZUXI0F57dw5MFR7OMaZxRUeFZBluqcbZcC0PX6ChXg0VScKD4z4YmOfU3ey/bEtV0BDlVnw2HZVVRFCWjKGcUptTAaNsx+N5mm+9vtnEuMbvPSxEBnoYZwws2ZTVPeODLMHxRZDEMUz4+EFeOeu1p6LAWOLy7HjT+x1+1ilJ8nE8X6UvXVvOE+2rYHEUZsaYxnp55mdbK5dXgi3lnr1ulEomcLlKGi/M8vfo9W1Hv2VVtpb6sfpOG3/v37/8LwL8GHAHVzs7Ov3fh7/9j4O2lP/oh8Jd2dnae3L9//wnwRP357s7Ozr958ftfD78v18XXNgpTPj9eNIf57a5Ycp0uUp5dGILv9L1zdKpX1TBM+eX+jGfDkFlS0HYM2q5BlIp37tE8YZ6c2Zp9f6vDb9/q0nEt/vTZiI8OZpSlDJi/fbPLD7c7Tc+ZxeLI8+g0ZJ4U2KaGbxkSImTpPNifgaImuabO7b7HLM746HDOIi0oywrX1PEdg3GYMU9yihIqTZIvb/Vc3llrNSJmkD680XHYbNlMEglHWqZotR0RhNX+vxdrFKbsjiMenC54fBJxvFD+y67J7b7He+sBW12PjmNwNE95NgyV8DjmNEyxDJ22bdJuOaw4Ou+ttej54nu/HFBlaBqOAdO04GiWili7BFOHnm+x1Xa52fNe8l3/urU8CC9v7HQN+mortowIZwogW9a2BIFDEqUqUfbb67bzVeov3PD77/6Xn/Dz3Qm6plFRserb/O6tHr93t8e7a+2vbeT/JmoYpjxSvNNZnAs/yxUeY2Ab3Ox5ihYQNY3As3Ru9TzW2w6DfsDT/Qn70/jcTViv+pcVs3Em3oKfHM55Ogopypo3KjnvaV6RlSXzpKQsK1quce5E7Zo6eVERZmJujqY1Qrz1ZkUlJ+26kQ98i7sDjyQv+Wh/zmfH83Nm5T/c7vDOanDpQNTpePziySl//nzM4UwCM6pK0ooGgYWhUuMkLa7Et3U6rslKICrf5WGvrCpejCI+Opzxi91pk+Zm6sIfXvFtOp5FxzHpeIKOL5KC4dLX3VS2RJfxl5tT9SI9h5LGac4oyjlZJFQVGLqOaWi8uxrw1z7YwMyLl74XnLkzDNUgvNzoNcR25zJ6hPh2huwczs/Z53m2+Cu/vRqw0f7ihKUvqxr9rhHrZdpDfW23N9rM5zFhUnISnlcudxyTtbbNavBy1v3XqaqqmCeKtvGK96yvBuGv8+D5TRl+79+/7wMfAt/f2dlJ7t+//58B/+HOzs7fWfqaf2NnZ+f/rf67A/zfd3Z2/jX1/39rZ2fnb33Rz7gefl+uy15bUUq40ItxRIVsMN5eCxgoPvCzYdQc7OrnwvqXcILLqmJ3HPPJ4Yx9JYCWocsgTguejCJejGPmiWgibnRdfutml9+706coK/7xo1OJLK5gEFj87q0edwZ+s706nif8cn+qvkeBZ+m0AocizSmqkr2J/NvAMTA16Pl2E7WeKtu3Fd/Cc0yOpnFjl5aXFb5tsNFy+NFWh/WOS6pee+2AdLPnAqg46bMNXI1ibrQd+pfYfUVZwe4kFv3EyYKjWUpWlfRcizsDj62Op6KELZK84sU4YhwKf3ZvEqMZOhbiUOFaOvdWAt5Z9dB1ncPpeScmXQMqmCYZ07hgGucUZYVvyaZ3ve02scW/qkG461qsts7rS2pKWYjGwemi+XpTiZp/Ewbhv3DDL8AfPz7lP//lIZ8fzQR51KDnCqfz7dWA++st7q34rLyhaNevUmUl7g7PRhF5UTKJc7KyoueamIZOxzG51XdJC+F11cOGbWi8f6tPoMIjsqLkQHGclgeSvifD7coSR2oSZfxsd8LDkwVJXoma17cxDUkLCmwD29AxdOFx5iXNerkoK2aJ+B+6pgggfEviebc6DrqusTuOeTaOGgrBVsflzsAjLyp+uT/lo8MZUSrX2HZN7q8HvLUSnFP11h/Yqqp4PAz5s2djThcyjDqWzlsDn55nslD+v0N1CvcUPeLOwL/Udi3JSz4+mPJPnow5UEEWuq4pSoW8no5rNe9bmpfM1SBVe3NuddxXJxOVwrU+mScNlaGsKg4mCUdz4Yb5tkHgO6w6Bj/YanOz73/h5y/OxNliuMjOOYSAHEoG6mS/3KTmSc6DkzkPjkPGYUamwkO6rnhB1luErxssEaaSjjQMs4aHFgQOi0UiAkbXQtOlKY+j/BxNoeuajZ3Zmxau1U19+brqcgx5AA0Cm55nvda9/xs0/P4N4N/d2dn5G+r//yZwc2dn52++4uv/HeDBzs7Of6n+/+8A/y3QBv7rnZ2dP7z4b66H35fri17bPMn5/HjRaDsGKgjIMXUOpgnPR2dDsGvq3Op7DTf2VVWnXT46DTmcScDRZtvBtwzivOTB8Ywnw4RZkslGrOvwO7d6/HirwyjK+LPnE6ZxjqHDzZ7Hb93oNPqNesD+9GjO4Swm0zT0QsAT3zZBqziaZ5RNSFGFRsUwysXxoaxouyYbHQfPNDhZpDw5DZmnOXlRyVYpsPlgvcVbqz7Lku6ua3Kj59FzzbMI4SUBmmOcBfVcDIzIy4qDacznxwseDxccz9ImrONO32NTUS022i6WDieLTL63YfDZvrwfuhLogVDn3lmThNE4LzmaJed4yqWKVZ4nBYtMApbKslIHctno1UK0N5l4meRl49ZzUStxsff2ej57RzOO1CZzGTz4rg/CfyGHX5AX/oef7vNf/PyQT4/nzJKcqpQVS81z3eq63BkE3B14rF2SrvKrqKwoeTqM2J/GzToXoKPW8vWKJisqno8jFmlBEDjEYcpG2+FGT8I06nCDg9l5NLjm4260z7hH8yTn48MZz4YRsyQnLytFqyiZRBKl2VarqL4va6ihQvtK9XOGixRdh5Zj0fPEMWG7I8btz0byepZ9dbe7LkVR8snhgo8Pp4yVyKDrmdzoOtzuB5L6s9Z+KSXs85MFf/5szFgZnLddg/fXWgwCmzArOJkL+jpciKDQd6SZ/Wi709AhluvhyYI/fz7m+TiSZlxJiIapCxfNtQyhQyibmHrb7xjy4NnsfPGDJy9KTsPs3CA8ClOeDkPiErSyxLUMVnyb9zZavLMaNHzqV37Pmh6xyBhGF+gRmkbXO2uonmVQlBXHiv6xO4mZRnK4ci1xwNhoOax3pPFeFsbxOpUXJaMoIzMMnh5OX7q2tmOgq7TBRVqcG+LbjiDuq2+YIwxn71mNpC97MNeISF9ZqX3Zz/4NGn7/J8C/sbOz86+q//+3gb++s7Pzb13ytTrw/wX+5Z2dnUr92e/t7Oz8iUKQ/ynwP9zZ2Xmw/O/SNK++yufJMHSKJQrLb1J92WurKkEcH5+cCeJuD3zurgRowME05ukwJFTDiWPq3Br43PiSxLhRmPLZ4Yy9seg4TENnSyWKLpKMTw6mPDoWnYTvGNwZBPzOnT5vrQS8GEc8Op434RfvrLf4wY0O621BYJO85PHJgkenC/bHEYskFyFwXtByLRxDE9FdWoAGRSHJmbMkI1eak622y0bXwbctxmHKpwdTjqYJaS6H9sAxeXetxf2tFr5lYBhyn/q2wa2+x1bXUwBQzP4kbt4fEG7yltpQLlPGqqriZJ7y8f6UTw9mjMOUeSJD4s2+x1uDANOUPtlyTdKi5HiWUJXy704UfcQyNDRNQ9c0Nrsu72+02eq6TYx8TV0py4q8lGdnnEoPnMQZhqYxCCz6nk3LE2/61a8YVvGqSvOSk3kinN/FeQ1HyzHZ7LoM/LPhe57kgsjPz7vtWIYm1mkdV6huv0bbyavWV+0nlmV894ff8TikrCp+uTfl7352wqNhKP55pfA/W7ZJP7DouhZrLZuNjsOtvtjB9DzrtZK1vm4t0pwnpyGnoeStz5N60DPRNa1BNalgXFQ8O5o1/3ZF+c12lwRph/PkUo7UZsdhTZlmj8KUR6chwzBjGuekuahjYyV6qv/Nnb7HD7c6mIZ+Du2bJrIGXyQFlq7R9uQaP1hvYRoaj9X3BpqkoI22Q1ZUPDpd8OmhWM4keUnXM1lr2dzb7BJo1UvG3mVV8dnRnJ/tThkr4n7XM3lvTbithULSHyov3/ojut1x+N5Wm5s979yAUyql9Id708aqzdAl8z3OCwxNw7dNZcmj45kmviNxoq5lNK/ly5pULUQ8UUItTINPdoWyUlWy6ut7NncGHu+tt77U5B2+mB4BQpGpV/1d1yLJS/anEU+GEcMwZRLJgaeOVO57Jqsth7Xgcv/eq1av5zMaCYJVX9tyAwVBrnQNihLSojyHSgS20QzCb1ItDfKeLdJCrmtx3rYNzt6zi0j68mv7DRl+r4z83r9//19Vf/cfvOJ7/b8Q9Pf/sfzn18jvy3XV15bm4qt+OBNBnGPqvL0qKZpVVXGiOMH1PW/qok/4oiG4qir2pjFPT0NOwozjWUKgDve2qROmBTuHM56MIuZJjm3qvLMS8L2tNo6hczRLGMcZeSFUiHsrPu+stprEM9Oz+enDEwFe5imzJMfQ5LAbOCZtx6QoS6ZJQZyVRJmAJ7XNW8s1ud116fo2vqWTlRWfH895NowaJLUOjLq36iuamtyjlhqgt7sutqk3g+eyDaiuyYZzve285B08T3J2jmZ8cjBnqgTVaVGw4tncWfFwLZNWy4GsoCgrklwO70VZcroQ7rIEl8j3dC2drY7De2sBvmUyTfJz15IoAKkoSkoqFmnJLM5x1bDdVuLuQR2O9AbnkLysGIWpoojJnFFv61xTb6gR9VZwkYrb0asQ4dWW3ViJfhvrLzTye05YVJT8bHfCHz0e8kIhYQVCwrcNHcsUcnugrFEEkfRYb4lR96/CTgnEp/fJacg0Ea5QmEo8Y62G7XkWP7o7YDGP2R3H56zJOo74zS6LI+ZKKHA0PxPRGZp8eNfbgvodLzKeDEOVRy8NyTLgaJ41p0Vdk/XX9zZb3Op5oGkNqrY7idibiniu9qJda9m8s9pi4Itl2yJbEnAMfFYDmzgreD6OeHQih5JpnLPe92kZ4FvmpbGNWVHy4HjBLw5mjBYSCNL3hLt1d+ArvlzKx4czngxDSnXw63omdxVSsjxc5UXJ83Gs0pjkGgLLAA21xirxLQPH0qmooJKEua4rA+O9Fb/hPn9Z5UVJZho82p9yPI/ZnyQ8H8dMFQrQdky2lV9wfZ1X+b5JXjIKxTliFGbn3Chq396eJyhnlBbsT4XLNk1ypopO0fMkIrWteMVfpfFe1mzqazsNM8YXXBo05LNSVhVFybmf5Vk6a8Gb58bVlRUlIzWgDy+8Z4am0fPEi7VG0n+Dht9LOb/AT4F8Z2dnuvS1/znwP93Z2Zmr//8bgLWzs/PfqP//M+Df2dnZ+cfLP+N6+H25Xve1TaKMB0tC1poKUR/gh2HK81HU8DsNXWOr43Cj672SU581Lj3CaR2GmbL3srENjWmU8fHhnP1pQpgWmAa8t9bi3dWAaVIwjmR7Yinf+bsDn3urATc3OozHYQOm1GLUidpi5qU6XHoWnmUwigU8GS4yjhbiZ68hXOB311u0nJp+p/PkdMGDkwWzWOKIDV1jrSV2XT1P+lQt1F4LHLa7Lm3XpCjloHA4O+/La+oaay3xJ1+mfuVlxYPjOR/uTTldZJSVDLo91+L2Rhu7VGKZCjStIlXXomsaaV6wSAqmSUaYldRf2lLP47sDD0vXGcd5ow2pD+N5UVFVJaahE2aloOdqO+fbpvQi33pJvPZ1q94yJ5rO08Ppua2YbWhKW3L2DPiiQVhSTC36/hcngP6q63r4vVBhmvPT5xN+ujvheJ4yTTI0ILDkhis1MDVxEvBtk7YrK/CVwGKz7dH3ZYh4U/GGr6qTecLjYUiUleJdm4lYwLEMgsDBLktu9wXN3JvE7E3j5gEuxuZig1ZfZ6E4qQcXmkHNkVptWUyiXDjIS+4OtqHx6DTi+Thq0NSOa/L2qs+tvseKb+OYOou0YG8S8fnRgt1p3KThWKbGmroxIhW8YSlO810VLlEPwXuThEyH3ZNFk87mmIZEX7Yd1pd4XHFW8OhkwadHC4YLsYBbCWx5ACh+blaWfLI/E0eKRAbzjrJ96/sWq4GjfGIN0kJEY/sTGUancY5rGbQdg4NpwkkolAp5rgjvzTZ1AlvoBu+vtXhnXbwhv6jqz2W9kq+dKZ6OYkYq/tTUdTY7Nnf7Pu+utdjsuFfmhNWo8CgUesRlyOvAt/Ftg1iZuY8U8i+cNlkXdj0TxzDo+VaTsvZln/kvazZlVTGNxIrwImItaEhFRUVRoR5+0oMcU1fN36bjmW8cabjKe3Zno0Nb57WpUd+24Rfg/v37/yLwrwPHQLazs/Pv3b9///8IDHd2dv4P6mt+AvybOzs7/5ulf/dD4G8Bfw5sA3s7Ozv//sXvfz38vlxf5bU1iO1QerKuiVvPrf5ZgNA4yng+ihreqwast4QO96pDY5gWPB6GnM4TxnHOOErpeQKEmLrGSLnInIYpaV5i6Br3VqTfny4yxrGghn3P4mbP4/2bfQaWhFZUVcXxPOXJMFSbFgmeyMuKsqrvZeHdDxVV7ckoYrhIqUPeNts231fBFKamYZk6e5OIhycLxpEgraXq9x3HwnfkGX2j6+Ioytr2EniQ5CXHKg74YnDRRsthrX1+0/R8FPLz3bMIZccxMaqStZYjPr/6mWgsLytQVDsN6WNhWjCJMmZpQVmKA09PvVdbKn1vlhRNeEVelgLGVXKwsNXzNMlKbIUI26aOhvTmlUDE2m9CL1Fv66bxWTLpsnaodn8aqNAjedafJXJeDEiqt2dXeV5803U9/L6iZnHGz3fFv/B0njBNc2xdp2ULymfoOkleoKHJMGzqeCrWt+PIin7gyxBVUxPedJVVxcE04dlIwhiKsiQtKtqBQ57Kib/mBHdcUQjvTqJmnaRr0gi3u+cbYVRHIl4IK5DgAIskqxpvxdqmrOeaPDxd8PAkZJEUVOrr11p2Y5pdBw7Eac7nJws+PxZbt5rD1nVNJYIS7mlgS8OqBWpxVjAu4MHemCQrGcdZM7DWN3rHEaFETd1YpDmPT8MmujgrKvW7sZpUPMfUeTIKeaTM16dJTmCbDc/UMXQGgdX4Iz4bRXLdeSkpQKaGZxlMI/H6jQuhRcR5QVFqOKaGbRjYpsbdgc87qwErgU1gG1eKAK5P4TLMz9mbxCySgrQoadkmW12HOwOPt1cDNtvuazW9NC8VIvwywqlrQmsxFB83TAvCrGAaS1yooWtNLLehacpVw34lR/Z1m02NCo8jEZbUXOFKPUDKSgZh19RxTXEauRjF/E0IVpevq37PgsDhna7TUIuuWt/G4februvh9+X6Oq/tIhXCNqTPLNOu5knO83HEyTxtqEQynLqX6h4AxmHGw9MFiyRnEufMk5yeL04yWlVxGqZ8ejhnEufkZYltCM+255qMY9kylSW8tdFm0zfY7Hjc7ksy6PKzK85lyzJSvHtxwNHYbDtsdmwmcc7hNFEpbQlVpVFWJdtdjx9utun4NjoVpqFzMEt4NhTv3igrWKQlbcdo1u+einReVwPtVsdlq+M2LgdNcNH8jJMLspHcaDustc7caE4XKT/fnbAfZkznKZoGbdtgre1IPwLQNLK8ZKIOBIFjEthiAacD8zTnJMyYxzllRYPqbim9ha5p4kmvBuFYOUDlZYVnG7iKllKUFaYhPbgevluOoVDXr74du+xzOVe0tdNFei5g67KfGSnNzekFKtk3Mai/bl0Pv19S4zDl53szHhzPOV6khGmOYxh0XBPLEKTV0GCeFvKB1lAfREEv20ur4r5aLX8Twp3dcdSEMTiuxXQeo6E1N3XLEY/dgW8xjvMm9ayuriun4WX3B7g8ElFDDLyzsiLKCjRNQwM2Ow6bbZeDacxnxwsmsUREuqYMwS1H/IpXAptV36btGoyinEdKdLVIJFfdtXQ0TSNMxXOytvH5/labd2/2OTie8XwccTiTATxMBbU1DA1XhVQ0PK6WrGdmcc6TYcjeNGa4kMa4ohDejmuy3XFpOyb7yhljngrSWZXQ801RKUOzZrJ0mMZFwznLcolzrqqKaVIwXIhIwtQ0krIkyUo0TcO1dExd0I2NthwKhHIgp+Yv+1xWVcX+NOFTlUA0iiS5TkOj4xqst11u9eTAsN11X+t0XVVVw8cdq3jP5ZurniOzoqJU9/gsFqTFNDQ6jtV4Zgf2WROsUemv84CvVdH1oF6rlKtKPoNRVijkXSOwTSzFHf6mI4/r96y0TLo6r82Hvh5+r17Xw+8X1ywWX/V6yAhsiauvubcgw1Pt7V5TjC5aUy5Xndr5dBiR5EXDe60Bh6qqOJrFPDyJmCYSJd9xxRGnKCqivCCpNGZhyo2uy52+x+2Bz+2+pJwtP7uyomSmDpSLVD1XNNFl3Oh5RFnJ3iTiF/siegONSqvYart8sCnhPaZuYOgymD4dRkRZTpxXLFQv63mSQlcgMdI1ArzZdrnRPZ9W+qrgop4novgavdQdkz/49IiHpwtmsTwP2q7JunLNqTTVM8uKSSwxyLYhFpyBbeBZggqfLBJGkRwyylKe2T3PYr3t0HUtdF1Q+WmcUypaxCzOKCoBKTxLtnUgc8gyuFIDOAP/9fRKX/a5/CLa2sWfWTsenS7ORzLDWVLoamD/yowFroffK9YwTPlwb8rj07CJB3Ytna5rYajVi2vqFFVFlJZomqwzsoIlYr9ByzFp2cIXrLmWb8rXNFeRwJOiYjKTQbiqKnUt8jN8S07ndfLZ7iQWq5uaEqHUvptt51zOdx2LfDQ7nwSTlxV5ITwm39bRdUlt22w7HC/ERHwSC3c0Lysh7avM9poPJEl2GoczoV0skpx5WhClBXFekJUlOnItt9YCbgYSb+xZOieLrGnkZVk1iXLLqlVDEfA3Wg55WfJsHDFSNjWzJKfvWfRUmt5mW8JATsOU/Yl831it0Vxl2r5cWgVhVqDrIrowdTl910lCp4tMaCTK3zHOCixDQ9d0dGUlNwgsTF3Htwxub7Qx8oLuFay2sqLk0WnIzuGM5+OYYZgSZ6VsIBz5jN3suby9EnCr77023yovygZ1HUdZszGof3acFWTKesi1dOKsJClkyG87RhNLWies3d3qoKX5G+F9LV9bLYoESPKCWVKQ5vLwDCyDwDEwdP0bjTz+TeH8/irqevh9ud7kazueJzw6DZt7YiWwubfinwNd8qJsuP21TZpj6I015UXuaFGK28SLSdy4MuRlSeBI30xzCXB4Oj7b/G22bfqeTYrGdJ4Q5rKqX2/LtvHdVZ97qy182yArysYFqKxgrjzDJ0mGocm1bHUcbvZcilLEyz/dnTQASL3FfGdVAo26ntUMsM9HUUOFiDPRrRiGhqXrcojXJOVTvr+nno9O06fKStyMjuYS5lM/WzQkDvjt7S5WXpCVFY9OFuwczZuNpm/rTaKlqWlkpaTYhWmuhvycli0CvYFv4lsmRVVxOBU/3lmSqwOF2cwLPdcCTZ4l00Re1yzOmcTKCcoxCRyDrKhpeDQe/HCeqtD3vhgUeJ3PZVFWaht2SbiQAo1WfMX91eD0FYmcvmU0gMXXtdz8oroefl+jajXtL/amPB9HjEJBEC1TZy2wsXRdVqCOgWcKQT3JSwxNEKlUuTRYhk5bqVzr9X5PDWC1j+/XKb/l8tHTIXuTuBkK689P/UFyTZ2bPXEkqBDx1t4kbpBMXYPVwGaz475ks1WnpB3NztYeSV4wDnMq5EZtO5KBvtF2OF2kvJhEZHlJmAmJ3zZ1bFNvhkkN1L8zyUrxfk3ykrwomarT8jzJ8T2bOM7peCZrCrlt2eJNOVdNF+RmF2VwySI9uwltZcliahonysJmoobgwDEVMiA+kquBCMCWE/UcUyewjaax1o1wprhxNeLf9y22Oy5oYrr+fCyc3TSvyArhggWWSdszoQJLcbcGXY/FImnej7rhfRF1plKpck+GEtl5NDuLum45Jr4l6MKtgcc7iptnfAn3+LKKs6IZOJeFc1EmHLa0KHFMg8AyKKuqeSh5toFl6ASBQxQm8jr9N4vGhmnBKJKo1kkk15aXJTNF0cjKksCWgJb6/aiR/zfh3HI9/F69roffl+tNv7airNidxDxf8lXfVsjrRZeco1kim7c6BVIlem533ZdQuItD6iI5W9dbhs4iydibSnpomIln77ubbayqYhhlckDOC/JSENR6MP/+VpuOcp55Poo4mMn3j9OCo4W47dT9b6Ml7jcV8HQU8ovdGUeLlKwoMHSNjbbLlgqKWPFtdLWl25/EzfNKQzzq47ygLAWZEKtHg7XAZrvr8N5ai1t9/9x7ULvzHM/P0Mu6r9XxwW3H5HAa8/nJguNFyizOzzaeCg02daEzTKKMsUr9rPt1zzPZ7njYpk6U5ZLaqjQXoDQXaqPcVof4LC+ZpQWZygSYRBm6JpaoHcdE18HU9YZ3zNKzpN7SDYIzYKqur/O5nCu3p9NLXH0C22hooYFtnAtIWkbZa4BMLN/enKAProffr/Qza9L+Jwpxm0QpcVZhaLCi0nKyEqjErNvWdeapuDNomoZtaKSFrGKSXFDhliMPZlPX1A0g/ri1n+9XeW1pXvJ8fNaoqqpSq2utGRItQ5DabcV7GoV1fOMZJcK3DDY74gV8cY0eppIQdzQXfnCcFRzNU5KsoOPJB/atFZ+tjsswTNkdnyENVSVosaHrzVqqLtvQMBWvOiuqxgc2rjROxiGaBlFe0nJkCHaVd22SF0RZiaM42DUHqULQ+2X00jU1LEMnyiRBKExlwLYNvbHKcU05uVdVxdE8aVSvrqmzqfjC9Wk3VRzgo1lKVgofdyWweH+jzYpvc7IQkeLeRHwgo1TW9Y6pc6PninCy51MkIm5Yfj9qTm1Pic0uNqm6oqxoBI6ni5SDScJpmKAhyKdl6NimhHK8pdaPzlcYQGsaQj0MTxWnbaHWcrMkwzZ0WraJrsv72G27xHF6TvRXN8E3ecpfpkiM1bXlZb0mzFmkudxntiAkvi0OLss+yK9b18Pv1et6+H25vqnXluYlT4YhB4oPbOpy7293Xw7kGYUpL8bxuVCIvicgxsA/7y0bZwXPRkI9q0DRumTLZihR3F49bOo6syjjds+l6xoczTPyomKe5mjKptMyJaH0h1sdbvZcGYKXqG1JJsEMtc5DA1ZbFrf7PhoVj09Ddo4XHM8T4kwAp82Oy2rg0HZFg+NbOrNU9CzTKEfTwNI1HEsnTEvmSU5alGpjKil0ay2beysSfLXVdc8BEHUccIzGi+N5069rYdfAs0iKkt1xxNFcEM5aiNfzhApZD6+jMOVwLrqLeZyj6SqeueVwQ/2uhpFQC2oXHl3T6LgCmDmW6rWaDPUL9WyZRHnjGdxxLUVXEQcrXYMkr86hrrahNaK0nmexutJ6I5/LRNmjDi+hR4h2xGp+ZqxCOC4+r2uecK3p+Lr00evh92tUPQR/djznxShiHAnCZOiybl0NbNBobE/ajomGrMlRhy/blBS2RSL8UU2DwDYbfmx9elu2mvoy8dzF13bxNE1VyffQaJDLem10o+cS2CIuO5iKArYeVms0eKvjXirsmcU5R3M59Y+j7Nypt+eZvKeS82ZJwYvxmReloYvjQ2CbzNOiET7UlauGlBYVK12PRZjIqqSscEydopIh3rd0bNNoBGLDRSq/C9uk61m8verTdSzGccbx0iBbVdIAkqwUDpcGi1R5+Toqnx6UrYsocWshoKloHlsdh7QQb8fTRcL+VHjS9eqx5Ri8sxrw3noLy9DYncR8frTgcJ4QqYExr0rurLZYU1y0jmdBBZM4e8mrtw44qZHhi+K5OsSi5lKPo4z9acI0ztA0Dd+SrzcNsUC62xdE+KsOoEVZMY3PUOFZIgeJSZwzV4jFoONS5QVt26TlGlSc/zm1WK32IH5TauCilLXg8jAcZ2VzjUlRKnqEoMJ1sMXgFZ6+l9X18Hv1uh5+X65v+rXNk7yxGQOhONweSGzvxft9kYom5GiWNkOKawolYrN9nhIRpgVPhiEnC/F9L8qq0QZoKtr+JMqZKi/brCjZ7Dp4ps40LihKCXXQ1WFUUzaC72+0eXvVxzb080N2foaWZoVsNAe+pXyMNRVRHKqtbAlUbLQdVgMHyxQUseuahHnJUAm2hBqo0fdMNE3nZC6uD7Vbg6nrBI7BRsfhg/U29zcCet6ZSLDX8zk6mV8aHyzrfnnuz5KCUSg9aKa2lyL20htEOCsqDmaS2tckcGrCIb7ZFXEewEkoz9Z5kjNNchkM1XBrqq2noWgdcVYyTwUNllQ+mUU6rknXMxWdD8K0PCfy04Dt1RZWWTLwX37GfNWqXX2GkRwILj7bAlt68MCTdNnaGu9iGp1vGQ2n+KsEMV0Pv2+gajrEg5OFnJxVUIah61iG5Jd3XfOcy4Knho8kK0ApPzUNdE0jzAoWqZxCTU1uvEAFKhiaRlv5yHY9+bBf1XA/yUtejKNzYgdLlxSadImfM/AtbnY9er4lfKcwY39yHhEIbIUGt17mh9WUgON5opBnOWkDeLbO2ysBP9hqA5xDGjTE//dG1wU0ie5dWpmUVUWh65xOIjk4GDpRVpDklbgO2Ca+LeEkRVU1dIlTZZiuKRHAzZ7Hu6s+rmVI0ppqzLWl1VyJGtuuARXo6n2vU2scQ8O1THFAWKKJrKlTeu1McboQS5+HJ+G5QX+9LWjCWiBoyrNR1DhfpFXF6SwhsIV//O56wHtrLXqexVTxui7yb0EGx3oddnEYnsbCi66pEFMlYowyMVSvkVjLkOHzVt/jVs9rRHhfpfKiVDZJcgg5mCWkaJxMxBJP18QWrKcoMo4yr1+umj7S919ex32daq4tPBuG56nEi9YbiMASRLjtGGx1XFZaX8yPux5+r17fhp79batf1WsbhSmPh2HTUz0VCb/acl762rwoOVB0uPqwb2jSv7a77jn7r1mc83h4NlyLY4OAK0Hg8OhgwtNhJM9FQyMvSnqe9Jd6SE3yEg2hgGlo+LbOja7HO6sBbdfgdJE1Q3CaCx1uluRNL+x7VqNVeXIa8vnpglCJqAFFO3AwDRFR91xLqFFKY5KXpQyrrk3bM5gnudifKWCqqmjsK+/0Pd7faHFv1efWRvclsOlYxQEvD8KacqRI81KlWYpuwdDk2gLHxDF01pS/fpgWPDwNeTGKGkqfplyR7q74bLRs0qLidJEprUPe/F6FEiFaB0sXTVJVCs1DEuSERqEhCHPblVCTlmOiaRBnwuv2VcgFKFTYs9+4nWucFY12Yxxljf4IzlDhgW/RdgzC9AxBvkiPGKjN3VWv7Xr4fYNVKVHYo2HI7jjmVA0bjiFCMM82mgSZtJAbTddohseyTpzRUWEQmpyMk4JQNYiaFlE/hGs7qq5CADuuyaAffOFry4qS3XGs/HbPuKyG8jxcVgHf7Ik4Tte0Bg0+mMUNalqjwRfDJuqqUdjno4hPj+aMltLVtjo27290WAkslTV+ZsPTdcXmbCWQG7y24sp0ncksJsmLxn/W1AVdz/KKQWA1VjHbHRfdkFSf3XHE83GsTvryM9qOwZ2B13Bz46xSSUXSEGtboI5rNWLFmssKMqy7pvC8s7KkTvHpexY3ehLzWGfdPzkN+eRw3sRa1mK3FZUg2PMs0rxgmFZ8tDtitJDGXlYVXdfidt/jxzc6vL3awjF1klwa5zgSQ/hlSzqQQbb+vrWquKhEDLM/jZsmOVcDX6jEa7WdmGXKv99qi9K6dsX4qpZ9aV5S2SaP9yY8HUUczJLGoQGkya340oQD20TZYzZl6po03SVnjDdV9XspiJJ8zmaJcIXjTH5X9TC82pI18Ip/Ps/+evi9en2beva3pX6Vr60Ga54on3iQZ8hbA/+cM8Ty159eAoD0PIvtjsNgySFoHGU8HYbN0KcBKz2f8TQiK0oOZyLGq5RFoa6Da8p2TYaZirIE00D9mfCJa0FazQseq/CdOCvEgjEtCHPRk/SUHsSxDB6fLnh0GhFnhViT1gE1noOpy4DtWwZQMVfIZ1GUaAodXQ1sSmCoUN2Fsnuk0vAsoZJ972aPWy2bW33vpUN6nBWS4Dk/b/WVZIXYk1YVtq6xyCTdru0YdNVzo+UYrLfkuXqySHlwvODZOCTJzm6f1ZbN3YFH37MUtUAoBYukYJ7mUFV49tkgrGvybKgqSPOCeVoqD3fhL7fU1663xWpt0As4GS0YhecFbPVnRqhibw6c+DJUWMJQbLrKz30SZw24tVyd5tqEhnrZtV0Pv99QnS5Sno1CXoxjiWrMS9q2gWFoiqsj9lm1GM3UNTV0qve1Et++mqQe5xL1Wg/DaXH27wLHaNA7XZNVha7SZ9qu+UrOcF6U7E3F+zdb4rKaunjU1vOUbWhsKj9Ex9Qb9ev+NDnXDB1TwiY22s6lfJyyEpXuRwdTng7PBu+WY3Cr57HVdeVEr9Lr6u+5HMjR6Xg8O5g2QQizJG9W2tMoF3eIvCRQiN3NvsfbKwFrLZu8FNueB8cLno5CQiWEc0yxZOmptZGGRlqWDYf3REU0i7uHyVbHwbXMJu+9/n2VyNqvPnV6lq5Ef+6Z6XyY8eBkzotxzDzJCbOy8cd1FC+WXKgCh7OYJ8OISSRbAEPXWAlsvrfR5sc3OmyqFRicidEmkaCtFxuVqWgS9bYARIh3NFfRmlXVHHxmsTwoFqlEdVqmRke5R2x33Mae7XU5V8v3XKIy5Z8MQ15MIkbh2aGkRuh7rknLNanQMLTzNmKBbTSIwFfhxX9RJXmpBuGMk4Ug5nP1MCnLM9S65ZgqNcvl3naPLEpf+2ddD79Xr+vh981W2diYhQ2YUadhdtzL/aoXac7+ROhwNUhiGxqbbenRNSizPAQHgUMSSmRyUVZMk5yDacyj05CirGjZQvEzDU31fQEMNCp8WyxFaxraQPWewDbIioq0KBrPfXEHkgF2kRR0PbNxbXg+Cnk8DImVvsPQoO1KdLym6bimgFP18JWrza2GcH8HvoVvG8wTCeY4mUuAQ5IXmJaJUVUMfIs7A593VwM2Os5LlKlEcVlPVLpdhQRYjMKMJCvxbKOxxjTQ6HgmliHXMPDF8qzjmDwfRzw4Dnk+PgucMnRYDRzu9D0Cx+D/396fxtq6relh0DPG+PrZrna3p7nNqem6VbeauFxWxSGpUGWCqEQidqQQMLgk8wMUIjuGAAYl2FYgJjEBLNLwI5IlkACBE0WKlYBkiUgxxg4kwZVy3Vn33HtPs9vVzvZrR8OP9x3fnHOttc/Z+5x97u6+R9o6Z6+9mvnNNef7veN9n6ZoDFbsBFE0Fuua6B1RoNpGGM61wud2Al4ZSvW0tKW9tZehLwXujVNkoULDj3fOhw+Pb2o48UVT4W1ReBLSRH3GHOftxxYqQe4WV6bCXfP7DWNeNHgwL/H5ZY4LnlQOY4WEaQ+hokmuN72OApoSk73W5vv0IoVQCQgI5LVpmxvTuhkQg1JKgcNxhiKnG3E7GU5CDFMK4LjJxubxotwRo4VKIFY01fRTRRIZRLi7xfktORDj6ZVAjFESENeqH99o2ZXXGr/3dIWPz9aYFw0Mn/AP2GVBCbnTwHlO8s++vw9TbpoMP7W7zCmq8nRF6tJZrrGqGigpsd8L8OFehl++P8KdEaUfkS0c0Q1mZdOGRnhCfRyQo4NzaCkUJJaix5SE1JQf9UNYJ1r6g7EOtaZc9iQg3pWSArf6u+rpedHgwaxoU3BWFamZj/cyQG9Ouw4Oy0Lj4bzA6cqfhEmVfHeY4JfuDTG51b92syraZpga4qvNsKfP9CMFbRyW9WY9CEfhEcR9poK4qgwqbRGoDV9se800Tr981fRF77ll2eCTi4L5fSUqjnPyjXAaKvQjhUBJGEvJRmrrwDdKwnYdt72OfRnwzfBlQfZ3p+zhXG7RmPaHCf7Q3SE+PMhe6Ht3ze/zo2t+vxlcdYYAqNn6YC97ZnKkNhZPVxWeLHZT0fazELeHCQ5YIDcrGlw0Fg9OVwA8PYs2O+crGqB8cr5GbR16kWqdEEptISCoBrODUBQoGGOxbmx78KUVvUFjyHvegnjIlgOf5mVDE1wWLT+al/j0kppg6wAJh3FK/H7HtMNBEkAbGvBUhsTTgRTMMSWRmmWK3Nm6QmGBi2WFRhtY0ET41iDG++MU7++nOOjF1zQMjbGtu8Elu9MsmKIHgCepDpFS7F2uAEFiwsMswtGABHyfXNA97MmygjabgdFBL8L9UYwwUNCGeNXEmSabNQCsh1FtHfWCeGOp7i8rgxoC67xGFGwm4e/vpdjPIt7qQmCZjwAAbzZJREFUarLYvLJ59MMJEmh/uW3n88DTEv3G8yoH2FMkhkzdKBqzY4Pp4SfW37ozgi3rl+rN3jW/N2BdazyYUYN5wVzWNFQYs9WVlAJJqNo3SBJKxPz/y0pfa4SziEjqtXY7Jx1jLWQYoigqkKZNIA7ktanZMAlagrw/rd9oe+PfeA47oQfeGN2frJ1zmBfEkTpbb4QS3mP39uDm9CttLB7MS/zwdIVzXg1JQRPOURLAOaCxVAB7oUKvnyAwpqVEbF+Xz0M/X1Ou/aeXOR4vyCZHW4p/Ph7E+LnbA/zy/TH2mNN8tqrxeEGhH5QKZCD5d9DndY7lVdKyalohGxVFiVFKFA1vuWbYWcM7fAScDAhBJ9A7o83NYV1rPJyVOFmRqjmKQ+R5hZTt1Pz7lhwMiEf9aFFhXpBwzQsiP9xP8f27Q9wbpjdG/JaNaS1wFqVum3UPKbDxoeTQCj8dCDlK2J/CVxVx0gHKpx8mQfvfvZS4sTc9hud9zzXG4tG8xGf8+yPxCT0RaURWc5GSCJWAsXQoy7gxBkjM01oHvkQfbY+K+YanqwoPZyVO1zWMlPhHJ4fPTMt6Frrm9/nRNb/fLLxP/DYd7oCnmV/kiz0vGjxelDhbbzxwYyVxa0gJmrcO+/jk8XyHDqGkwH5KzevpqsbDeYFPLwusKo1eGOCgHyJWkuopuy9ICcSKHHxCKVEYAwUOHVLkVLSuDXoRORpUjQUEidnmheZ7EW2JHswKfH5ZYF1bHhoRjeOw5yN6iYIQSIGnSxKxhUog41S1w16M/YwE7VES4uHZiji+TEFrjIO2DkPeQN4dJzjux62v+/YBXVui9Z2tyR93WTU4z2nYEipKpYukxCBRO4f+UNG99agfQ8Lhk8sCPz7Ldxq+LJLYS0McszbHOBrOOND9vqhN63oWb31vmrwDaRrh5HKNNXOAtXFQkuo+bQky3BkSz3rGYuc5RzF7bE9ov8y280Vfr167cVlcpz7EAV27z19YVWanV+r1YowDge8c9l7o53bN71eET9h5NC/bZBTnwNNGCXDDmnLKmQCR1+NAwlqHWal3Rv8x+8OGvDJalBoIg5ak7iOPPb/YAdcmdLGSNBXmhrgXKVwWDR7MylbA4F/AgRRYVLqlSXi3AwqdoCZaW4czzkrfJvwngcRxP8bxIL7mH+kb788vaRq6YEuqQUInfOuoyEZxCGlMq8y/NYxxexDfKETyj+NHp2v87tMFHs1rVDxVDZXAvVGKX7g7xLcOsjaB5tF845FrLXGyspCm7qWmaYF1jie3Jc7WFSREazVzbxTjcBDDOsCwRVvZmJYiMWC+dhJIujGwQKPSFo/nJRbWYbYo2+eLUotka29jHU1qzteUunS6qpkSQdy5o0GMb+2n+Oiwj8N+hPEzIn69YGTOIrr1lkcyNe4GVUPUlzQkXlwSkYcvRTdrXOQkFFnXGmVjkEVB69W8zTn2Xo57X8JFvwneV/NkWeHBvMS61sgrsrMLeRqRRQrW0s3GOlrDprxKBTY8sXFKtI+XnSlfawvEAULmFL4Iuub3+fE6NIjfFF6na2u4CfY+8QAJsj7gaOIv+rqnS9IU+EZEAHj/1gB9dmXwoROeLkeakRhxIHC6qvGTizU+v6T7TqwkDlmERc2khbEU3BBI2cb5Ck4084mrl3mD87wmt56QaHpxQNujZaXRtGI7gQezEp/PciwrAwnBPGDFGpYAhaY0y34oMS81Hs5LGEdOAxR5HOHbd0Yoi5o1ExbnvH1cltQE1oYaznEW4N4wwa1hjEFMIRMHVxxlrHO4ZBH2U/Zrv8ibtulMOVhrmASQW5aRXih31IvQWIfPLsnzne6jdM/bHnhJHugY61ohd72VDid4ytzrxVivypaPTYMP+tNSJUOJcRLivb0E7++lGGcRco5kvikpVEmBcbIJ+npZm7ptH/pZ0bSPz6MXqdYVQhsHEygcJ+zK9QLomt+vCa+kfchNsE97GacR9tKAT7rEdfQvcsWKxjSQqI3FZb67zvaKx3vHA6wWJO66LHbH/o5f8IGUkILFW1du2EoSx3OYBAiEwKyk1YZ/on16l5+SeuylFGu5HZGcs6/iyZZlGoCWzL+dle4f30VOlIB50SBvSMVK3KsAB6MMD89WmBUNQilY1Rri1oACOa76UW7jfFXhdx4v8TuPFzupdsMkwP1xiu8cpjjq0wS3MmQVtu3QcdCLMIgVANGm1hW1aRXRPr89Denajvsh+jE17lEgANAaMK81kjBo/RkPehHuDBLy7x2m+MHnl3g4L9vfWyBF66xRG9vaiXnO2aNZiU8uC3IZYbrCKCWR3Ad7Ce4MU7buinZS+66+HheVxoI5U37bYKxrHSa0pjz5LKKNxXE/RiAlcg658C4lq8q060P/WgmVwHtHA+Kip+FXirA01uGSbW9OVxWWpUZeG6wbz/OmxltJoGAzfVJoK2SRRBooslSKNyu5YfJyVnKd4O358abW7G8Sr+O11driwbxoky6B52uCAdI2PF6S13iakWNApGjzdntAKW2fM+0L2Dj9DJIAF3mDHzxd4vOLAjNvk5iFrcgJAHu5i5Ye148Uhim5JXjK2rbTT8Ai8jRSOB5EqDVtuOJAIo0Uni7Ig31ZacABMXvhHmS0tZRSMO2LaAEPZyXO8hqRktjrxxiGAu/vZdhPIxLeWYeKKYHkzkP3yUrTMGrM98rbgxhxqJiTGu7UaL/mP1/X7A+/ESoLAMM0wF5K2qHte14Wkj/xXhYhZ9u6Ryxy9tZuI06KiwPZToG9mwWANhhlMIixWtU7LYKn9ZW1wYL1IZ4zrtif+M4wwbcOMtwaEO3RO//M8uba1vGb2NT5LfBlvvGh396eexu3vnC4taWdeR50ze9LglfePpyVuCxqXOaU9pJw6krCHGAJYHuoT6fiEFkYEJGeVz7AJnFmlHgzaFofeY/BbYsQODr5BVIATsDC4gpFhuxnePKZV6ZNZ4uVJL9Wi1Z9C/5cL4Dw02BPizhZEWfSN54CtG466kfX+MHL0nNd65avFCcBdKUhpUDRbBwfkkBikIQ47IX4cD9rAyie9Zw/XVb4/34+w/RkhVVFMcqBlDgexHhvTJzmfqSgpOBGyraiqu3QD20d82obfD4r8JOLHBdreoPX2iELaXqRccpZpCQGsYK2wGVRw1q0fov9OMDP3BsjdQ6hoknIo3m5oxI+6EW4N0wwzkIm+LO37rrG6briSUaBdUUFWAjgeBDjW/sZ7o9JFeyTzb7oBuY5bYtSY8kT4nWtMWNBnWbBZRpK7Gd08BjGdGiYFw1b+RisK43aEv/51l4PThOtJVKi5YN9FfHc9s2NbnCG/1DQihRAElKj7jlseb2Jqc74TxRIfv43zhhfZSXXNb/Pjze9Zn8TeJ2v7WpYEkCDjvf20mvpnzd9bSEEfvhwvtP0DOMAt4cxsijA40WJE7YwA1jc1Y+xrBr87uMlfnxeYFbQhstPLnuhRKAoFhkCCKXEujHt/WQ7ufF0VeHpkiax1lEQUqwUjocRRgmleCrJU+N1jR+dk7uBdpY2XgHpDY76MfZ6JJwWIHemk3WNs6LBMq8R8+d955A80yMl2xTQojZ4siixKEmUraRApR1dUxzg9ihuqQmek7qX7gb/FI3Bw1mB3z9d48GsgJ8lCeHaw3yoyNrMd6u9iJIsh4nCqrI4WVacuEbRycaSm9Aopa2uZoqJT+0b9JM2cTSQAhCANpsAJsvBUpWmkJB1s6GpAPQ9bvVjfLCf4v29FIMkbCe0/k99ZUKbhQqjlAOdkvCZA5sXgfd69z9zWZGN262EHK1eBF3z+w1gUTZkLr6qWFVKtlt72YY0rvy6Yuuq05BSyAaxokZNSDw8W+18b28cvccFYVHqtnE0V35foaKfA0FNRq03L3bjmz1OjUkjEk3dGcaIQ9muRTy87dj2NNi7RTxd1e20EthMV4/6cWsJB1DT+3hR4smiRJhE7ZsxCSQCJbEoaM11WTSoNTWOfpr70VEPh1e4wduotMX06RK/93TJ9lvU6MZK4NaQeFq9WMEYh8pY1MYilBJZRHGe+xlZ8Hibt4Y5zD86XeGziwIXeY11Y2EtRVemIYkIpaQGcBQrCCGxrmkKceegh9A6HA020+BVRaltp+tqw1eKFO6O6PH5ptzHDJ+vKvzgZIWfXBQ4W5G1WmWoYN8akiLYB5X4UAn/uvgi+O8/Lxo8WVZtaMa2lm6UBrg7TFpHibIx0I6tzgKJi0XJfGpyS/A/M1ZyU/C+QjN8U5Smj9MGaCKhBKXbkfqZptTa0KQ+ixRSjhr3fsmjNORJ8pf3p13z+/x4m2r2y8KbcG2Vtnh4ZRI84jp78AWrY39trd/41vBDCeKtjlMKONr2oO/HJOq1zuHvPVni90/WuMgpNjkOJEf3KgzTkBo26yCkQNlY5LVBFkqM0hAf7KUYZSHWpcYPz9Y4WdWwziGvaWO016N7VKAkQnZ4WJQan13meLqqUTUWcShaylovUrg9SEgLA6Dfj/GTp0s8mhW4KIjGGAcKx/0IP3u7j+N+3AraHEjs/XhRYl5qGEOuTpUmF4o+f+/9Hk2An+WiUDUGPzxb4+OzNaXgcQ2OA3J/ouQ40d4jAWoqD3sUqrGqDc5WFXJ2hVhW9Fh6MWUIBJJE3GkaYbkqiarHNTmUghLiJFELt7m2tbbIG01Wa5UPIqESpyQl3703TvDBXoZbwxiSdS9+MHeVL+wft082fVnNsDYWiEPoon6md/uz0DW/3yA8//PRomynm8tSoxdTA5vwGlkJidqaneajFyl85+4Iotat2vHyikXI9hvKxwlSQ6uvrQcA4hVHUkBIATiHggn9q0qTJyqvpnxSza1BxDnvpp1Wh0q0Nmg7ZH/mdF7lB3tV62GfppSeo1RJhd/7/GJn/bOXhkgjhUYbfM7JRN7PVwhgnIT48CDFzxz3SaRwA5xzeLKo8PeeLvHZZUHhGRyMEQcS4yTAMCOF7Zr5TNoSH9jH494bJTsT50pTtOVPznNa1+c1ZnkNCIE04Kky+0aGStCEIQtRVprWfEmIo36MO6MEx+y1TIeADYUkkPS83hkm16gEeU1Jen/30Ry/f7LGoiTLtFpbSBac3BvTxGHAP8sn5jxP80mCA+I+f87evV5x3NqVcSMphEAQB8jzGqGSrerYn0mSQO0UIb8K8w3xixSo0r/u8xqzrWJqrIM2DmHAhzuAY49pKrxix4+UV6Ep3+hIfEmP5Vm2al3z+/x4G2v218WbdG1ekPpwXrZbxF6k8P5eeuOg4eq1GUvbzifcAHok7FKgLfnVes5mrMgysh9LTE/W+M8fL3G2qrGqGjiQILsfKdwZJa2427BLkdes9OMAtwYRfuawhyRU+Pgsx4/O1ljXFJKxqhpEijQkNF0mUd1lQQOpJ0uiESpBWoY0UgilwGE/wv3DAdA0CAOJsrH48fkaj+YVyoZ0FFmk8N44wc/fHmKYUtiVv+5VpfFkUWBRGRjrECmJxhDPOIsU9lPiBvv65+Pgt0XFy6rBj05z/Oh8jVnetDaoRDmTiJRq3YeykITXaShxyBSLdU1exLWxG4s06xAFEnf2e6hL2ioX2pJdmpKtvWrrGCEAQGBVb/RA1lKPsKzJurPQPtuABx6BwN1RgvfGKT7YT5kiSF/jLTtvGs4Rdzf82hqOzursNYYvEo/nZZtCRSERDmNeW0dKIg0ln6Bo1d3jVJZ+rHDUi3HQC1Frh4uiblfy2xjEG9uqLJKsitw4A9x0Ekv4Z0IAi0Lj88ucm2z6HCUpLnIQByAaPU2olSRj8FsDarq2X7hlY3C6ovW9b2799/KN8LfujLBYFO2UfDsYI+UVSy8OKGzkPMfDeYFabx7/Xhbgw/0evnuY7Zizb6NoDH5ynnPqWo2Sm2Av/EpDxR7MxP29LBo02iEJyYngzjDBtw+yNgt+21FiXmrU2rQpbY1hY3VLzaoWwLpoAHZfSDnC8bgf41sHGe4ME+xlIS7z5holgjyIExz2r1+XdQ4/Pl/hP3u4wI/O8paaoC2gBEVqH3Dj22NLmztDigW9ybnhJmhD69FPLwq2QNJtIe5FCrf3ezA1TRg0c8/TUCIJFbS1aLSD13DEfDjw8KLMdu35nFGbnrN8sW5usORxSAJSdCte+c3LhnjEbJxfNiQm9L/3LKKJzn4vbpvhQIqu+X0BvM01+6viTbw2bR2eXLHITEOJ++N0ZyP1RddWNAZPFySO3tGERKqdPrZ8UiFY4Bzhs8sSv/Nogc9nBZalRqVt25TdHsZtbLAUouV9NsaxHiLAdw56+O5RD4tS4wdPV1ybaZDj4OshaTwOexFWPEg4W5FTk+HBxygLMezFgLE47FHwzSglrczJsmqDnWpD1m2jNMCH+ykmx30MkwBLvtd6fu/TJXFzvSevYdeFKJCkw2GPYykERyeHLV84CiTO1zU+vSjw+YycM9Y1DVbGHHvcWBJyJ+HG79cfOpSkZLfznIZl2lpYpVDkNSQ3zIGSKBtDzg/WcVSyahNrBxEJoyWAyridYVqtTTsso8Q6aqS9sH+chbg/SvD+fop7o6SNZ16W+gv7kV6kmMP8Ys1w1/y+IVhVum32amMwKyjXOw1Va9zs/VB7vRgPzlY7095hHOCwH5E9GEA0AV41bE96PRdzL4taF4kve/ElAVmCSQCXbHtzsW7auFq/Uvan8TiQ1EiEtLq/O0ra6a5H4Rvh1a6P5HiYIHYOR316fI2hAvyEk9OADX3izoCmoZ9dFvjR2Qqfzcp2MikFUTI+2Evx3h6t7a5OF40l0duPz3M8nlPjWmmLfkyq0SSkk7UU9Pu5KChwwz89aSRxf5Tgw/0e7o8TJKHa+T22z6OjaOXKOJQOeHy+xow5tjkHTThHYrPDXozjfoTJMUVrRkrh8WL3+/kp+51hcuMEt9YWn17m+M8fLfDpJSmCi4b4sD4XPg0DZBE5WPRZwHBvnDCH/PmmwmfrmqcmFfLawAUKl4sCaajakBfvhNEY19r6pKEkT0tWHTtH17Td7AaSqC3DhCbLz2uf41dsN2XFx0rSxEdtJveXvIrzv4tSWxaGkO8n/U4ifHR3jIHECwv5uub3+fGm1ewXwZt8bT4s4/PLoj1chopcgO4OExwf9r/02pyjJNCnywrn66atZQJAoFid71z7Hj/oRbg7jJE3Br/zaIkfnpIIOq8MIGgLuZ+RJ/1hP0I/UpiXmhxjqg0V6tYgxh84HuCoH+HhvMRPznOcs2d81RikYYBerJAxtdBbnz1dkd3kqjLopSFS9i8WQrSJq/tZiKNehNpY/Ogsxw/P1liVDYxDa5H53aMMH+xlGCUhlpVmjrDDsmzaaGXraAoreGoacu3zgRWe1pCGtC3bY9HY+brBo0WJy7zBqqJ+IQooqElJgVVl0LAeox9vNBB7aQgpBWptUUuJ5Yqco0rmVHuLzUBJNBwE5QdqfluWhIq3d9R0O0fhJu1Qy1GY0mleYc3Wm6FSiLjO0+uH0kU/3E8xTqP2teb7ER9Nf3VT7TnD/t7w04yk75rfbxDeXPzxnPg6RW1wWdQwjhrcQRJgNEgQWjoJN9Zilu82rD2+YftGZsZpaTcZQm9zhYcJ+TL6tcSchVDmyqsvkAKBBJYl0wOcRdkQVcJ7NObsFEH8KDrV3ttL8OF+iuN+sjP1226Et23cAilwkEU46EcYJwHmJSUHXeTNzjTYW4oBwCfnOX58nuPRomy9Y8NAYJyEuDWMcHuQtHSQ7TCQRdng8bzCZ7O8vXZjgXFK4oSMOVECwEVe49F8t2mPAoGjXoT39jIc9Tf0iZNVvfN59w77cFWD2lo84YnI2brG2Zr8ihsWW3jO261BhI8O+7i/lwJcYLY5WDdxrrexKBt8cpHjR2c5ni4qrKoGpaZTvxDUEIaKJv1K0ul/P41wZxzj/ojWnFdDU66iZkFmKSQenCyJ8tAYFqYR97kfB9B+TVbRvyVMP0gCiTiQyCIFJSQs3LWC58Nchp6ecEOYy1Vods7wFImrwosBe1mmISmi17XBLG9wwpsJsnijZjhNA/z6t/bx4X4XcvFleNdq9vPgbbg25xxOVzUezIu2yZEC+M6dEUbskfs80NbhnO0NZ8WmlmtjWZDl2pAor32IA4nff7rC9HRN8e1lg8aSGGwUk7f6e2MadDTG0kBjsXH8iZXAhwcZvnOYQQiJB7MCF+sajxYlni4rCFCNImE1DZny2uDJsoSGwNmihHWkH9hjmpZPch2nlM42TgPMiwbTExKsLSoNxzHJwyTAh/sZ3h+TT/u6Nu29dVk2bbCOc7QJDaVEHEooiTaowt+DPPqxwjgJ4UCCu1nZMMWDDvKBRBtisqxo0xUq8qTvxwHSSOHeYR/5ukJj7E7egPcBVpKmtoY51+uavPDLhoKIepFqfZe9oFgJgYKplv7epy2HfvD9UFsaqvmhxzAJcHcY4/44xd1x0lInfTM8Y9rm8obhXMwN/4gFdP512DW/bzBmPGU9X9fQhhqfdaUx6MeIuEB4+7OISfUXxW6zmoZk2H3QI3FP0Vhc5PWN5PPtJK1xSrQLbyniV0ZX08SMdfRmqMlwXAkJIWiNE0pBjXRpdpruJJS4PYjx3jhtfR4zXvWEaYSPH87aZDQPvwI67EXoRRJn6wZPt7ixUgD7WYRbAxLTldri88sCPz5f43xNNnM+Zc7zVPezqF0r+cmi97KkCUXd8qQDueGohlJinNFzM8s1Hi7KNsUOQGsV5hW6UpBzRdkY9Fhd67m8+5nPbK/x2WVBU+4FR+7WGpJFXIOYEvXuMS2i8VN2JZGE5M5x3CfO9U0uD55i88k5xWYueVKgWSjnXwdSAJEiyzABsgQ67EW4O0pwn43cn0VHGI8znJ6v2ojPSz6kOOdQNmQjFEkFKYHauK10OZoMS0kFkSbHIfqxQhpIUlNftSjBhhtGE+JnTwCAL7fG8elBe/w7do5EMXOeVq0d8Osfjl/Ys7Jrfp8fb0PNfhbetmubFQ0ezgqc501Lw9vPQtwfpRhnX+wQsY1aW5ysqlYEDlATvOIUtzQKkIZEkbo1iHGQhXiyqPCDkyUezEpc8H3COn+vi/DeXorv3RpgrxfiwSUFLF0WG/rYMAnw7cMUR72Y7m0FhU48mNGWLFKSt5k0FAhDhc/P1+2hvTEUqJRGCoOYprCh2kTE3xnGSIIAF3mN3z9Z4cmywrxsIIWgTVuicH+U4N44xSgNUTUW85JoG8tK43xVYVlrkAeUQygl0khyrafprQDZuvmBhxRAL1SwjjZajaVD+7o2qNnCLQmDln7hnSCOximUsejzNFtJ3+Tand5gWwTn7dzKxmDJ30s7irGmZlhhkATYyyL0YwXnwNPcph3crGtNh59cI280lJDt86g4rvjukO45t4fJTlCXH855H3t9ZVJCgvgQ7x0PEGjzUrd1XfP7U0ZjqED4qMk4DvHoYo3aWFbRk0gnDiSO+hEiJZHXBud5vWMEHSuJg36EwyzCMKWb+KIgTutlUe/wcAGiSOyl0TV/Ps8JWvgABW5SvXhvXjbkmBBKZLHCYRYjUoIpE7wi55+RsTH1OAswTiLcOezD1U3bwF3wCnu5xX0VAK+dgpbztT0N9n6TtwYxMp58nywrfDYrsCgNVhW9CSkJL+QVk2yNufdSsi7bVi/ntcaiNFjXJJzwXrZ0YCBu9rLSeLKo6OTdkHNEn9W1A06zC+MA5/OCU8uClut1PIhx1AtRaocLXst9PsvxcFbiMX9PY0lo1mfe291hikCJVvznOcsHvQgf7JMH4038qEpbnK5ojfl4UWFZNsiZ+xpJWmEZeL9HtOIxgCbcx/24pUl8EfdPG+KXna0qXF6h3/hpb6QkLMij+ZzXd35jAFAyk1cDD2IqroEEOWxcqQyREhgkYbsh+SInB88Vvszpz1WefBLIHdHoaJxhvSxv/F5fhK75fX68TTX7Kt7Wa8trg4UFPn4023Gq2U4HfZHvdcKUg4rFVz4MSUnZrrj3eNLaaIPfP12Tz+2cklXJaQcYxiFuDxJ8704ff+C4D22Av/d0iZ+c5y11w9Pn7o4SZCHdMwttccrDD1/7Rv0YIRystThdNa23vrUWisM4Mp6AhoqaxFEaYD8li0hKuavwyUXe+gLHiprELCaLtfdGMUZZBGPI4rEypp14LktNhd8RBzdjJ51Q0WBECIptjoNNk2eY+1sbi0BRrW0028aReg21djBK4ulljpzdiPoxuTv5jZ911ORuL818AIiSNCyal7qlty15Y+Zpmr0oQD9mEV8WIoskpday4K0y5JR0UdQ4W1GCXqUtQvZzjhQFTO1nEe6N6J5DoSkbr+R1bdpeZLE1nOv1YhyE8qVG0nfN7yvEqtJYO4EfPZ6T0bY2WBS6VZ16oZCnPni15/mqvjEwYz+j3PNAyR1f2Vne7Hw+sGtJ4j0HgesBCvNC47IgJX7OjbGUNFW+P0rQTxTy2rZ836KhNJlepHDnoAdlyHNXCrqmPheVWluU2l7jcvZjhWEcwjiLZWl2Ghk/MT3uk0r5MicLNlITa6yY6+m5Uv2YGupYSYyzsP3YihvbRaXRaLreStMayduzCFDhF6DIZuKRbigAgRK4tdeDNDQJv+Tgk1hJpFGAXiRxb5Tgziil1DtO/DtZElfts1mBk0VFJ21OO/M577cHEeJQ0VqII4GTkHyNP9hLcXeUYHBD4ANFKtd4OCtwyoeMvDKIQ/KjDFkoVmqLota4kjBJEZx94l9P3hsjsfaZaXwXbFV2ke+6k8RKYr9HTatSAotC4+mqwsmCmuarsZYBx5j24wC9OECkBGqOG92GANDj18aXTYe304Mu8+ba97p90MOtWN0Y4f1F6Jrf58fbWrOBt//aTs9XeDQv8XhRtvQi7wd/Z3hzQuez4Jve0xXRwfyU8WJNglYftT5KQ9wekIUZpYfmeDSv8HBRMDdYIFa0MfzOYQ+/8t4Yd0cxPrsoMOWm2Q+HwkDgMAtx2IvZ0pJcEc7zGkZI6IaGL5EiAdm6pjS4eUmJcp6mECoaQPRCBcXN6Yjpa3tpBOMolfTRosLTRYlZSfSvHutmhjzx3M9CgG3CyoYoCXPeWG0ji4gClsVqJ+XVOzXAOawb0/rCp6FEFgWIA3If2hulWK6q1uudxGqav7dqn+tBrOAANNpdyyPYywIKHgHahn17q1dqS04U3AzvpWHr8pRwfzIvNGYlNb5eOHe2qnFZNrCWpt9xQM+xF2/fGxHnfO9KuJO37LRhgB7cS63ZXfP7ijEeZzi/WON8XeMJnyThXMuzBcCes+xTyK4QSUD+f+freqdBFKBVkE8J82uCHX++G7i/rdUVKzE9B9M6hzXnbJ+tK3x2SSbn21PoLFI47FFToi2txa1zUFGA2bLkk59sm9FtxEq2sc6VtogC0WaWxxzO4XnIVz2Gj/sx9rix3LZga4zFuiJhmNg6XfufnXDMdKQkCk1vrto4WtFVmkUOQD/eWGUpUg/A2q3HEQW4XJS03pGCqSGGC8aGIz1IAtwfUYrO8SBuqRPn6xo/PltjerLC40WFoqGvaSydlg96AQYRCRkbi3aCGiiBUULG80f9mIVuVIyiQLahEic89bjMSTC2qqk4D72lGRxKTk8ibpltDyJJEsBog3ES4PYwwZ1BggOmtWw33T4++nxNU/3tQxa5iFBQxwHHXs+KGo8X5Dt8sqpaQYtHwCvHUaLQi0IEAVkhGeuuUTSeZzrsHMV8UiNMB4I0izHZS740+eoqXsfmdzKZ/CaAPwbgBICbTqd/4cq//zaA/w4AP+r+t6bT6f+B/+1PAPhlAAbAj6bT6f/+6vfvavZ1vCvX5mPsfeKYhxeweb/054UPTzpdkzaCDqmUSOrdFUYJcX6HcYCiIc/0k2WJTy8LnCxraEv81EhJ3B7G+OV7I/zS/RGEEPjxWY4fnq1wvtpoArKIBLuDSMEA6PciPDxbY15oRAG5AJHzl4BhXcHTZY1ZWcNZgV5MVLRQytbiMWR62jAOcHcUI40CGGMx44P+00WFVa0RSGqEo0By8EbETg1Eayw5bMJTshzo/u0ceav71M2QrUsFBBwo8dVa1zbRpbbIIoWjcQZpDI77MQmRQaL2k1WNFVMaGo5ezqIAGfOXk0DCOOz8LjfuFAElg9absAtPs1tVmvi+oWwpErcHMQ76Mfa8AL8yrfg+r0ksd7FucJaTLoYi7r1ORKIfh9QMDxPcGibthuCVcX6/ToHdRldIr+PqtZUcs3jCcb3+5l1rCyGBPjc4AE1Cj/rExfFBG/5N5OFTvQ6YHuHtvFbVJgHspjjBfux5rtf9UsvG4OG8xKcXBR7Oi9blQLCQqRdLCAcEcYR1XrXKVIAb2oBsbSptdx6rb7RLjpwMhCDDbk6pE3BoLPGYQv5+gRQ46lMjPEwCpgHU1FjVBnA86WwMAikgJbkUbDfhSSA2KT7sq2usQ1FrSClb/2D/Nf7gkKQhirxuDwqORRSkrDV4vKiuCRPTkHww32fXCm/GvigbfHy6xu89XeHH5+t2yg5s+NvDJOAJvWub4TiQrVrWHxb6sUIvpim3XwGermlC7lPgVpVBwJMMKoBkCVcbi6LSyJ3AySzf8aWOeapx1Cc+9l4W8e9783yuKo0zTnLb5nn7Q9kebyd847ksGzxclHgypxXpstQ7B6uQ15BpoPhGImAdTZ8DKXaEckQ/IdN43wx7/rmHsQ6IQ6hmQ715Xrxuze9kMskA/F0APzedTqvJZPLXAPzr0+n0b2x9zm8D+H9Op9NPrnztfQD/HoBfnk6nbjKZ/McA/uvT6fSH25/X1ezreBevzdtVnq03QUdZqHBnRFHuXyZYvQrvGHG6qnG2qjAryYd+VWrE3JQdZBHu7yWQELRlYlHbJ+c55qWGYu5qHEh8dNTHH/5gjG8fZFiUBj8+X+Mn/HmVtkyfCDDsJzB108YELwpKtRwlQesGVPFG8mxNbhazgnQiPizJC80iJREFxCUeJxSBHAUStaF01YuixsmiwrqxUIIsIQNJwRbjNGT7UAFtLYnbasNanAbWEeXDOaJBUE3z1mlog60s21AuS40KAmfzEoGibfEwDnB/L8HtfkI2pywyP1vXWFamHbaQEI9CnQaxH6AAcuue73U1ozSEsZapDjVtGEsSzhU8PPH3iUEc4M6IBjTjNEQoidY3KzeT7zVP5C/WDYv03KYZZprhfhZicm8P44CCN14EX6v5/ToF9iq6QnodX3Rty5JOkqcrmrQ657CsSDwgJBHufVPq7dHGSYBCW1ysKahhe+X7rAQaH48740Swq1QEAVbn88l8tDUZ1pZWP54DldcUW9tYi1vjDMJQI7usNGptW5VrFhHX1Z8Qy8a1HFHDdmJ+RUQnVrJdS0KFgHlRSsrWxgqCeNLH/ZgPBMHNFmzOoWarrkAKWGwmqgA1Rw0rla11rUF6w804+K0khECvF+NinpMXrnUI2ccZQrRUlDRUKLTG55fEZcvrTTfppxKHvRD7vZgKXExN3ueXJX73yRIfn61wtq43vFkh2qlDFrGHs5TQxm6se5Jd94SAzc3TUKGxFgV7424/v+JKg317vwdd1ag18cCeLuk5rJrNgcUXuV6scNyPsZ9FbdOZhrKN8j5fXz+UeSrKQbbr1rGuaUX6ZFGSuwav2vzP9YU9i9i4nX8f3mIuDhVi8l0DQDeJfkyTf98U3zkavBU+v5PJ5DcA/E+m0+lv8N//LID70+n0z259zm8D+HkATwBkAP530+n0YjKZ/CkAf/90Ov1T/Hl/BcDH0+n0r2z/jK5mX8e7fG21tpQYOd/4BSshcDyIcGf44tsUgO4/vhF+uqCp8GVRo9auFQi/N05w2ItQatducD4+X+PBZYlGO8QBDTb2shDfvz3Er34wxigNSRh8QXqLRaUBJaEbSpST4DAodqRZVxpRQALnXqggBLCoNE6XFU7XpEVZVdQIk7sB0RGGiUIUKKa8ke7luB8hClQbVETUDxpoeV6vFAJZRE5A+2mIOJSAA2oWCa4qjUWloXkgAwf2Nd7Us5Ab9kDS/ehsVtBAqyDtB7DZpt3jtLb9jDyLz9cNHswLnK9JI+SHOoFES6nIwoDEzVscZD9Q80OMdUXuFBd5gycLChhZVxthvHf/8YmitwbUDHvvfT/5Ps9pQn1RNK340Viy9Bz2QvzirQF+/aPDF3ptfVHNfp5X6q8B+HQ6nVb8978J4LcA/I0rn/ffm0wmOwX2hR5lh2sYsLjq2wdZK/QKJPkqWuahOgBw1LT5EAWfdPX9OwNYh/ZklbfNYA1g3Vqj7ac0FfbZ78aS4bWfDPs34aLSeMDD/W11/l5GYoCyofSZE/ZVFGGI81mOxlo6UWayjY48XZHBdygF0kji1iDG/b0UHx1mgBRYc4yjj7bN6w0Jf1brNiLSF65Akr3NZV7j81nAE0riB7+/l7aN8NlWKIdxNFVNQ4lASo6zNO2BojGWAy4MlPBNF00IAhYlpqGC5XdR0Ricc7BJIIna4Avke+MUv3B3iMY4PJwXeDgrsa4NZ9lXyKICo2QzZY8Die8e9fBL90fQxuDTixwfn+V4wvQIPxkOA9Hm1O+lYRtpnUW0zlLKB0LonYQmBzrx0xScinFjLR7NC1gHrIxDwJzfUEn83O0BQkXP0UVO1kY+YOIib/D5ZYmQDyKkECY3j0FMtjffPshQaosLdo6otpw4/FTYCyk+3M/w4X62404yy8mpYVXp1nqn1JZvIMTLS0IJbQzWNd0lHO8RFxXdrDydZjwr8V4vfOEpwmuIYwDLrb8v+GPb+A8B/PXpdHo6mUz+KwD+rwB+4zm/FqNR+kKrbQ+lJMbjFxOnvCl416/t+LCP7zvyVX94WeAib7AwwOKyxCAJcHdEK+sXSfPa3wO+DdrqXeY1ni5LfHKW4+mS3Hd+cF4gmFU46FE9/yAN8cGtIcrG4Mm8xO89WeJkWeKi0Phbn13ibz+Y4/39DL/ywRh/5A/cgpICj+cU8vFoVtD2q9aIJNVP54BBoABBte+yrjFKI4yHKT68NYBzwCxv8Hhe4sEsx9mqRq4tQkg0pUYgLW8+Qywbg4vKIIvIWvOwH+NgnOE9a6ENOSpdrOh+LCCwaAxmtUHCnuqDJMStfozb8Ol33AgXRB3QAlhqi4VuECn2UE9DaOswGiY42sugJFA1VGMvmBr5w4sCP7woECmJu+MEHxxk+M33xohDiTk7ZHx2UeB8RfeYeWMxb2ooIRAqjV4SIAkCxFJhph1mixpKNnSNexkm90m8Rr1Dg5NFiQczDv0qNZ6sGzxZNwhO1m0wyb1xgnuHPXyvR77MfiI840Z6xr3LRV5jPExe6vvueSa//xSAf3I6nf5X+e//bQC/Pp1O/8TW53wLwGqrwP73/TRiG3Wt3VctpMZct0d6G/Ci16aNbSdjlzlNBIkuoCkvXQj0triPaUhr6sMBuzSw48LlFaGS4lPzPnsKZ1dijeelxiyvMctvNqtOQ9U6SYwzym8/W9d4NCvaRq3RFhYOcaAgnKMY4TVN9zYQ2OuFuDtK8f5+iqNBgmEStPGLxJFqaE2+LDEvKIXNOeIMezGAb8r3ehFuDWO8v5fhzjhBFgXIa92qgJdbDaGnFyScjrOuDRYcjVw0BvO8waygtV8vUhikxDf1gkFPrwCIGuKT2ShZJ0QvJlXtQS/GXi8EHDj9jRJ+itqL6YgnfJVuQjZBwGVOB4fTZYlVSV9jHaWz+RSgEQs+hmlA+fN9CgYpW+/ILR9IPux4L8dQ0oS71pYaU94UZCzA7McKe2mEMBDUDK9rPJmT7/C68qJHUibTZDhALwowTBQGaYRhEkAKUiiTfV6zM333wr895q17yoxvhv3r8LKgolo2BgVHn9aG+NK9eKPYpnhmA21oehwGCv+lnz3CYT957vcdAIReWv2a4Hkmv1c+PwGwAhAD+G10k9+vhO7adrGudetz7jeNSpB49vYgfmGRkofXLjxdlvj4dI2TVd36vSsJHPUiHA1ipIFCzjXnJ+c5Pr0sMC8bxDx4iAKJb+1n+IV7I/zh7x7h7HK9uYcyh3VZkS2aEoB2DnXj4ABoS4EO3jZxlISwoHp5tmrw+azAybKirRT3Ns4BTlAiJdW9oN3y7aUkDLOgbZW/p1G6poO1QKmJJjGIA/STkA/utHSstUWhHU9XNRwclJSQAPpZDGcM+ryNUyyUi1lEvChpgLbe2j5KQUM2siJLKYRLkpvTg1mBR/MSs1K3gVPOka98GirEAf2c/SxsBwsZB3ntZ2H7e/d2Zierqg2g8nalAAno01DhICO+971hgv1ehEAK9iLWMEqhJ9xPnfbwlQvsdDrdUbN0hfQ6vs61NZzMdcq2It6HtRXAMXHeN1ChEtjPIhz2qAFZsxDoIt/lZwIkCvPeueMra/RrMYbVdQFdpATuHQ0gGg0pgLwxOF/tuk7EAXGMpCAh1KM5rbyu8kwHSUCFrh+1vCeyhxFkA7emOGIfMlE1JCZYczMZBZINzwPc6se4w0l1h5yg55vwm5wnfPRmYxxbwjVtcEYFgdW6bp0s9pjHNUwCGOcwY+/lmh0l1iXRCzwfNwkkK50DOCeYh91wghyJ/EIlESkBKQEpdicplaac+3nR4DIngV9tLCq9sbOJFAkNvaDx9jDGB+MM9/ao8VtXpp2uryuDQrOaWAo8vSza6ExtHMDc5zEfLFKeCo/SAOOEVnDakqjF+yqXDTXDRUOWeBlTXlKOIPYccOsctHEcLYqWtgBcD2/ZPhDkPBmes9d1ZSyMpd9/2dDKUbJy2tNtkjTCz+4nGL/EQvoq8CxKGoD/FICeTqeLyWTyLwH456fTqZ5MJt8H8O9Mp9Pvdpzfr47u2m6Gj4ZvhduMXqRwi+0qX2QafBWrSuNTDvl5siw3zZMACa5bC0+qpR+frPBkVaNsNPvaShwMYtwfRPi520N8sJ+iNjTBPl3VbRO8LOmeJSCgnUPOImjjKPjpsBdjlChkYQAH0pScrmo8nBc4W9ZtzDFA28WGD+QZb0tHCW3GRknI/r70ud4tyfORHXv01saiH22SNgHXCvSKxhJHudIIQoWm1iTiYxqg3wp6Ol6oqBaSmxPdzypNb3Eh0P6cW4MY+70IoyREIIHLQlMzvKCBk28btXXQxiAO1M4ATEmOdE43Oo8kVG1/Mi/IevTJosI59x/+e3qNzUEW4vYwwb1Rgo/u7yFfvVx7yq/M+cVzFNir36srpNfxsq7NJ3NtN8JwruUYOTbY9k3s1Remtw67yR7qywRw7USO+cLe5NsbpgNUoPo8OWy4sdued0dKtEVlXRs8XNAp0dvDWEfcpQFznXoxNU4+0tc3xHEgcMFRkU+XxJcm2yuiTkh+YyUBcZD2swjHrMKNFIkVqFnbFeP5TPWDjCaey1LDBAo/fDTD0yU1zv50LAD0E4U7gwTjLEQaSBTcjDfGYlkShaTWtlXJ9iLiVA/iAHBAoQ2WO04INEmImWtWa4vV1vS2MZamEWvie1Wa4n21tiQSdICSDv2YUtCSkJS59zlJ6ZAjoxtDj1MlIR6dLImHt6xwWTZotIMDTdg9n4ucMwL02CB+EAc47lMQSxwQ79cfFpYczUyNKQkbleT4bG6IIyXQGEdCDm6IfYPsozqHieeth60doIf3rZ6XDfuK7nK9y8ag14vwC0c9HPTjF3qPvW7NLwBMJpM/CuCfAHAKoJlOp39hMpn8ywAuptPpX5pMJn8axPn9CYDvA/jfTqfT/zd/7Z8A8Csgt4ff79weng/dtX05isbwNHhjlyYFCZZ8INDzRJw/C6tK48dna/zonNIu/YuUJplkqRkHCnEgcL5u8OOLNS7zBhASzpKd2ShV+NZBDx8d9fHeOEFtHE5WFS5zorot2SGnMRYA1aJ1TQMG58if/tYgbjUWDkRHvCwaPJqVmBUatbHQzNGzbDNpHJDyMGaUBjjIfCNMYjMpBA8NaBDg4OAcDZBWlWlTNn0Ca+M5gIHCfFWhbDYbyFABEsSHziKFJFDo81QY2Exy6VottKHBARyQMh95sKWXoNQ3YF5oPF6Sb/2cQ0eco+FFYxwiJZBFQXso8XqYNmtga6DmbVkfL8pWVLndDAPk0jHZS/GrH+690OvkZbg9fOUCu42ukF7HN3FttfYT4WqH51lpekE5OEhOYfHoRRvz6mGssOIELW9tsj3Y9fG0PvXMJ6ptI68NEAV4cLJsubvbcI64utZaVMZBsZDLZ4Uf8GMR4AQiXpeU3DxV2iINN82vX417bq4vDr6hnXEox1OOVJ55c3NuKgcsGPQiNYBiHGvjUDW25eHGAR0gxmmIb90eQmnKUJ8XNR7MKzyYFXh6xQqOKCUkguhFAayjVLSGrdWWnKPu4y/7EfleDtMACqQGXlZmpxn3Ktg0VBw1bFrBYG0s1jVNkc9WNfKa/JJrY4l6wq+BfhRwJLHCQY+m1nc57OL+8QC2oiQjx44Zp8uK/D95slNp2x5kHBwERGsM75+rYRLiaEDrz70saqfg3oOy5q8vGzKlpymJaBviOJBUzGvTJh15B5CEm3j/Ohynm9+dx1Xfam919gf2N7Gbz4vXsfn9ptHV7Ovoru35YR15gj9ZVm1KJEBbyKN+jNvPSLF8EawrjR+erfDj8xynq7rVg0gO+unFVEtCKbEyDj98vMCq1iwSpqZsnIS4v5fg2wc93BlG0A64YKcHbS1WlcGybFBo24qi17VBUZMRuw/r2MsoNZRE2+SwcLYqsa5pe1Y0hrZTju4rFYvZ+uzOQMmnIXoxicl8+ETZGN6Iga0y6edX2iBlK8/jcYbZskBjHIxxKDTR4YqGGlJK/KSpsK+tXrcihIA25GNvrENeawAbJ4pAytZ6LQs9/Y0aYiUcZoXB+briYCjDlBEaNmhLKXrDlIR9wySkxjre0CSHWz2E1xw9mpd4tChxsqzRCOBX7gzx83eHL/Ta6Hx+X2N809fmJ8Lna4pB3p4Ueo4wBK3HPbwrhFd0SiGwKDkwo2iupccpKTBmo/JxupnGbV9b24Sw+fZVqkTR+GhcStpJ+U2Z8CrlIKPwiWWpSRVaGTTaouAponOOU3LkNXsrb4HVj5hrask9wFtyXeTEJfMNaxSQOvaI+WqCH9+SG0znKPJ5bxDDNAb7TCc4ZMqDtQ5PlpS69mBOpH29VZD7MZmZDxMqbtY6NNwML9nuptK29U/sxwEOexGUEFQ0r1jE9SKiZ+z3QvQjhVJvnDOWZYNTTly7YL521VisG2o+rfXiN4EslBjExNV6/6iPVDoc9eI2nniQBG3hq7TFGRe7p8sKRU1FfVkSF41oCw6RUjtbgmFKPtVHvRgH/RBKkL1a3lgsS/JbNlxwy8ai1PRaU4IiSEMl0Gj6/FWlmdojEXNDPExo8uzXb1ebYescVBLBlvULC7m65vf50dXsNxPf5LX5NErvHOPRi8gt5ngQ7wxkvgqWVYMfna3xk7MC50WNxq/0QbV3b5BAWQuANp1naxoONNZCgJrCcRLi1jDGh/spbg9iOKAVf/u1/YoDhHJtUGtH4t+GaHPjJMRRL8SYqWG+xfKHb2cdByfR96HAJ4OicbDOUmJcHGAQSxz2Yuz3aDIchwqW9Se+pgbsRJTXBkZK5EWFLKTBT6wk1g0167UmSoVx4MQ94k178XYWUcBQxFQJY0k/45thwZ23c/TYPZ2uH6nWEs37rgvQMGaWN2SrVmsYw5s3bbjv4GTXNEQ/ofvWYT9qhxjbByLHNbtYlzvJd8+Drvl9jfHTvDbNSlpq+DbUBsfrZSnpxS2l2GkeBzER9f0JzVrHhtdUEK7GyQaSQhjuHxPn96ZwC0+VWG41xP77lM3m49rYlh+aRgrH/QjHgwSDWKHStp3i+msxlnieoaKoSiWIT3rTC0/xKdpYh3nV4JIdMYylyWhjLAIhMEpDjDLiagGyndhqKXE2K9oDRcgZ8Uf9iKx/Bgn5IjqHR/MSn19S8lrBNmMQRPT39mZ+FeU9hmvjUBoSa8GBE3GIIuG50tq5nec2Yl73fi9q7WQAtDSJ81WNx0vy1X2yrFBqco6gqQatwCQE0jgAnMWQU/XuDBLs9SOESm7WYGwhFgUS84Ka64ucbiY1TyvmBV1Hrak5DqXcaTqTUPINh9S/SajaUIvaEN8NEDs83sYQj1eAemzDlIZ1tSnU8RWetz+cpN+QYfrbiq5mX0d3bV8fq0rjyXJj4wlQgzrmCeoBC56+Knyy3GeXBX5ysW41EVEUoKyIj6wEhT04B6zLBsvG8IaJtli9WGEcB9jvUxzvnWEMJWVrC+pAQ51lpbEqKWF0XVGdW9c0de1HtKEjShvZelqeCK9rjSQge7O80ZgXBuvGYFVSEibVS9GGahxkVNOP+PkB/3whyHozyyIUPMhZ15rdcDjCmJtJPy0uKj+B3lh90taOfl4/VgiVai1Bc75XryrdiqrJsg3Mp6aUue10NgEgC0l054cbl0WDvCZaRsWDK8s9R5+1HX2eCHt6zDgNcfsbsKfsmt9XjFd1bV+UzKX5/2l2hx2xm+cKU/oLOQBUzNnxPsE+b91zfpUQxG/i6fBNSVyA561SI+zFBwU3wkvmbzpHDV7KAq47TIgPlcC80Lgo6muT6VhJxCHFHAspUXF63tXYW599vq4MFpyeYzhQI5QCADX1+z2aRN897GO2LHHGoRrL0uwEWgDg1X+Aw36Iox6ZoJeNwaqmk3HJTgRFbQDJCl/2yfWCLWMsVtyUay5YADWOSSCQhSSEUJImuL659O4VlPYXXoslrbXF4wXFmD6ek6/uvKgxLw1KDrtwDhCUq4FACgzSEEe9CHcGMfb7MWKeFgxabphq/Rsv8wbzLWcQY/nQwGl+NV9LrTeped4T0nv5RpxJT2buaJvbSJG/pefxGj4E+OQk6yzKxu1sF0JJr8MPjgf47pia4RdB1/w+P7qa/Wbip31t1jlc5ORCcJFvAjSkAPYzEjnvZ9GN94vnhQ/UeDQvcVoZPD5fY1VTcBQcRfz6mmKdQ1GTaLbibZwQZOE4iBWGHMN8dxhDConSkMbAktqcHIK4sb3MSXuR10Rz8DSwYUzbzH4UwIIa4aLRrHmQaLTFrGqwLg1bVFLEsABRypQCEsUi4B415v04QK8XI19XRFXjvLj2nsaeuZKDo3qRhLHgDaHGmq/Z239uKGyiTZvzNZfsSqlJzxvaUGYh1f00kkjDoBXxXd2uCf7dGuOwqOm+7n2Ni8owJ5qsQtOQPJcHSYC7B33c74X4YP/FrM665vc1xutwbT5F7jwnC7TllvWYtQ4WjgzBBTXD25PGOJCt+Ki1/GLRkQ2J83t1Muw5w6OETsTDOHhmQpAXHiwrjUXRtEri5ZYpN0Dk/KNeTC4OWQilJObls8V7eykpbZUEnZQrg1VNzXZrAeYc0wZoUr6uNXsekuhs1I8wDCTlko8SDOIApTZ4uiSRmI+e9ucKwZPePk96fbH1vFc6hdu2yVMsUvDcr7w2/IeEGPR5lhW85AoRBkQZSdhJIQlk65yw7ZowSq8LTnzk8tNlhYV2eHS+xumqxOmqxmVOrwlyndgkD6WRbNOKxmnY/txhwk18oGAcUUpWvEbbft3569S8EqOYa8O58LaNp/bNcByQKK/gdZxjFbYSvLLjAl2xKGUT6mFboUqSBPij3znA/b30+d4gjK75fX68DnXtm0J3bd8MvHvRyXJXq6KkwEEW4ojj7L+OUG44TPHjx3PyKJ4Vbez7stzcJ2joQ41jpQ1iRS42fqjj9QjDhATgd4cJokDCMJXBfx/NWpN1pXHO94+iJupBICULhCVvVEkgvCyJntCLFdJAwjqyPltXNNi5XDc4z8lCM5ASAQvaenGA41GCvTjAUT9GGpF3vZKABKB5wuv1GwXTToQgCl8aSNqesb3nmuurZTqhgEAoBVPxAvQTun9pnnL7UA5jN6mcWSgxSsN2ilzzYGIbXiRnnUNZW6wb037PRUlTau0c+kmIP3h3iN+YHL3Q77trfl9jvI7XVmuLi2c4P1hHxHnJNjBXC1GfoxtHSYj3bw+xXpaccNO0sYZXxW8ANWZDTgcb3cDV9GjpEiU1wo+ZEF80u2+qMBA46pGTwzAh3+GaCf1XxXujhBr3vYycEEr2C87ZAmxVUzOmLSXnnTFPuHFAVWt20RDoxyRW+GAvxQd7KYZpuPHBZbPxyhDfmCy5HLKInCqyUMJBtKulStuW/+bgEElqaJNQtnwomlJTYV1xbrsDTboDRcVKSpoOUwxy2Po3KyHIoiwlbncW7T7fg2GKz57MMSs0LgtyELlc13i0qHC6Jp9d69hjkl8CSpL7QxKoraQ3hZgnGqOErtU4SsTzKvDt362SFDUN56AtiQ5pSkyWcT7WWAogZYeIduLLlmo0+XXtDSbmVZ4QdFgQQYBfuz/EXq+b/H4Zupp9Hd21ffPw/GBvQeYRSIHDHsXZj9LghXn7OzoUpgGerWucLuu29s7KBnm1aQ61oSmwg0OiqE7WxkAK2boY9GJqhg97EQaJgrNAaTY6Em8Puq43NpB5tdlYBRIIWUhN086wbVJTFsMpARTcPJ6v6B50sq4xzykWOIkVjLbtZnQ/i3A8IM1Gj6e3oRJw3FD7N3alLarGgFh3RHNIAroPriqNWU7NcMPDgyigxjqQfpgTtE5LxGOmba33ZPY2kyT6Jh1Nwt7Mq1LvbJ2dc+wTT1P31p89VPjFW338fffHL/T77prf1xiv+7X56OPL/AY/YObS0pqFXrjbxajfjyEa0zZZw4Q4qD40Y142WBR6x7LLI+RIxgGnyD2LKuEf40Ve4+G8xON51aaP+W8phBe80bop4RO1t9Ta9p4MJHN8k2BHvOdPo3lj2glsBeDjJwsKDSnIicJPoynYgqxs7gwS3B0n2MtCxEqiMo4KSq3Zl9fx6p9il0NJtjnk2kD8La9gJtsbR561LPJSUrRcsrwxnIhDKzchaFXGyZnUDIaUiHbQi1oumJ/ge47V4UF/53XZGEpV86LHvCY+79Ml0SVo9UcHI3pN0HMZK4U4klCgBjQOJIsqZPu4woC8Lq2jxj1seWOOOcL8e7bEcQa/1hpDfshKUKOvuCkGO1RUemNb511ChABG/Rj/4Adj3B11k98vQ1ezr6O7tp8uboypB1pXIC+Uep6J8LOuz7BF2fmqbn1n1xUd/GcFibMFaMuU1yTaSiNa9VPdpjjkmGtcPwlaP3T//ZstjQ2ldGqcr2kgtGTnGxLmkZ6hFynsc0qmYIpXJElUlkVEixNCoNYGp8sKl43Bw/OCLC6thQR75oYK/VBhnEU46IXo8eZzEAdIQtU6Ong0ZqOrcLz1jZRAbR2WBcUPL8qmFXF7oZySAmkgWxeISEnkNWUJ+KmwR6QoBOXOkPz2e7FCUduW7tgO3HhSbZXC+4MQ37vduT28NXjTrq1sTDsR3haaAUSRUOzF6gSQZBHydd3+uwDaya4/3fri4akN81K3qv9tCKA9XQ/5zfVF0+FFqVurlHMvMmNuKVmK0RQyDikdxzjiIUGwe4AiuoAX7414mt2PN76y43GGs/MVcqZmnKwqPJiV+HxW4DJvUGvb2nN5kYDPRT8aUFEjQQGtj/TWJdNK3yHm6OWmsVhWDc7ZbWP7bat4auCbYHpOabJRNxQJ7cMsLBwnGVGDGChJNjvpJpVHCoE7h30E2rRWdlcPHmVjWp73ZdGgYJ/n83WN87xBWRsY0MpN8uPyp5EklBTYIRxCIdtiH/BUAqDGOWA/y4ypFN5uTgoK/TDWsc3aLqjpZsGjFFAQKNn+La8NRBjgD98bYJi8WPJU1/w+P960uvYi6K7t1WFda5wua5yuq52GzVMjDnsR9r6AI/w812eZI3zGjXDNQluiBdbIG0tWnRZtsFDCVDMpOMFUCJ7oEiVhGCv0kxAxDymMda1LQsWi41WlcbauuQkkrQR9hkCowIFIYRszH7P4uBcHcM4hzWIURUXbyVVFnsWFRsP3Ic3355QDmTw1zUcND2Kyvmy03ZnG+qAjHxbkWP9RG4dVRbqhy7yhex3QWl2GUiJmGzm6b1Lk8kVBSaDbhUVJgcMeuSbdHSUYJyEa61q9D8IAt1MSX78Iuub3NcabfG2eK0zNcH3ND7jfi1EWFQTzp7TdnQx7/u2QxXDDJGzVop43vCg1FtX1NwvAAqwtA+7Blt/vNhrmXnn6wXbyWKXp9OxdFCIl2qCLbYGA58/GIa2gRmmI929tvHCvYllpPJmTafeDeYEL5lKvK9NOm33BTELJ9ACJhCkUAoCQfkJKIjY/lU4CgbIhceDpum7tcmpDfOEwEOhHAU9DgcZSgfV2cnltUdZk00PcXaIIkESCOLb3DjIMQoFRQlSJYfJsX2dPRZlz+t2sqLEoTavunRdkYQdBzbCSAmkoN82uAyjl3sE5KrBCeM6dhTEOBo4teRS7THjhiFeFC8BZrBt7TcjoD06ehrE3SpE427prPC+65vf58SbXtS9Dd22vB9a1xtmqbkMRPJQgq85DFvpu60le9Pp8xPI522J6SpVvjludiCW6oI+z9xu5yDfFoO1oElLDmkVED5NsdUkHetowriq6P13woGNdU33XzgFOQHmXoCRAzCu9JFC4c5AhZIG2ZdFYoy2ershV43zVYFlTLa604/ubQy8Jscf3zzhUbYiQt0uzbrNx8/BaDX/GsLyJW1caFzk1w+taw7FwjjZ6AolSGKaK3Yoo0IhSYnepkCHf624NY9wZxvjw9hC2ajqrs7cJb9O1GetakdmsaIAwaBPegI3SU7JfrbnSDANAGpIi1jfDnouqrcOK/YGXpV8TXX85xUq2jfCAgy6uiumKranlrCB+V5s8pm3rGdxjX9nauJb/a6xrQxb2RwnQWFq7JWGbgHM1wnM7Ae98TfSMy5wSyJYVcaAlgIgT3Lanlj7dR0ogUdR8e2pAGtBaLOTP08a1uem1cWi4IRYCCCXRDaJAwFg6XOS1xmWu25tH2dBqSghABRJ1Y0jUxrnrB/0YtwYRRik5V2w8GdW13+N27PBlTk3wmh0uFmXDdkKbKMtRHCJmWxxjSGRZa4fGWvYiplAUny5XNqb1m8yijefkYRbhcBAj4ZuC98DcfqX0ejE+GFDM94uga36fH29TXbuK7tpeP3ix7tmqxmKLI+w1HeTQE31lyyyPda2ZVla3oryyMXi6rDglTaPiA3htLNlpSi8WI6pazMFEQtAGsh/55E46xFt2hnCgOrquyDt9URvkFU2a89rAOLKBjJVEP5boZwl0oxEogWFMzX8/Vm2ssRIU+/yY00/nhd5Yjmlq4CFca23aj0OOhKdAil5EVmaep7w9XReghlUwVcKwd/260bhcb3QjtXUI+VDgJ8QDnoyTJoN4zasrgvZRP8ZHewn+0Ad7L/T76prf1xhv87Wl/QSfPp6TBRp7F15FwFM+B171X/n3UImtZjjY8QwueZK5ZIL98kpwhgfZ1ATt9K8XB62H5HZjOi9IlOd9Zr3rANEWyO1CCQHtTcWVxHxZQQB8wqc39DgNcNiPcdynRtEHQ3h4HvWsaDDL/XND1Ak/7fZ2L3RYoKbQOgvHRuOOxrQtx8wXk2HME+yA6AQlJxIBREtpeH3lObeBpOuZs1/zomhwsq6xahzOlyWqxqKxhu3GBIvSiCqx1wtxzLytD/czHA8SDPn3dJOTxJynwOc5iTXWHBqyqnZFD37CPU5D9okktbWxFtoAlTGoGhIv+mx7b53m6xk1xSSiPOxF2Gef6kBJqDjER+PkhQ31u+b3+fE217Xu2l5v+ACeM9YibL+Ab+1niKwj793kxQVz2/DCcD/pJCGvxSyn7Zef2paakjWFQNsw+qjhlC3Cao4E7vN2SvLneppeGip2zGnIZqzWqBqDioXA69pASAFjLAaJQqoULND6/O736LAf88/LQmpiZ3mDz+clThZV6wFccYiQdRZK0HBhnIYYxGHrVuTT4aKAOMOKfX799UmBVofhn+OCNTPzomZ//k3yaxuwoSTSiO7TgRJwLHoO4hA/f9jD9+4MXuh31DW/rzHepWurNImm/Hr8mgUawHwmOhUbc33dIvm0PEiCa9xfEhJsSPNeXXtDP0zRyMx3Gmw1jM4Rz2hWaF7H7DbUDfsQhkpi2I+xXJVYVRoFp/wUzYaP65viLKL44MMeNcRHg3gnUU9znON2BC/ZedGfnNdeAHGHlXAwDu2pHUAb5BGwKboA8WLTQLbpPQEXosj7FnNRigOJYRxQ8x4QBzrKYjw6XeJkVePRrMSTZckJcRqVJuWvtkRlAR8O0khhxGEVtwcJ3t9L8e2DDLeHCbJo9wDgg0zmpcYF26utWUhYNBq1du2EQYKcHcZZ2HKAFfOE4QDtLGpNwSCXHLaRs0OH2Xr9CBbh3Rpn+M3v7GNy6+UV0rcVXc2+ju7a3hw0xrbhOxd5gySN2m1kqAT2U0rG3Mu+XqjGtm/+Rb6hR5AwmO53ns6QNwbgbZwAoBQ1jkkgEAYKYEuyLKZU0ihgepggikQSUuOZNxYzTjutjIUMJHLm0+a1QeMskkBhGFO9NJbqXz8OyPIyC1vbtiwM0FiLi3WFz2Ylniw4tVNbGjZootQpga0hUti6NJFGhoZD/l7kN6R+E5oEAqEie1EBgcba9p43423xrGxQ6e3pME2t94cJfvag101+3ya8y9dWa7vFE72eFAdsVingtfdVPidARWyb+7vtG2wdJX95G5sVi55uaohjTrYhH8PNOqqdDJeaVvZMt9iEeIDVrlTMSk3r/Qt2RdA3iPcGicJeFtGavk9/elHARYoEgPOyYQEgTYK1sa39jW/qvFBMCoFa+8afm1PjKN+efYklP48Qfk0lESiJNBSIA0VuDJwmdO9oAKlN67ThsLFWe7Qo8NlliQezAk8WFWZ5jWVNP9NYaswVc5QVe0P65KZ7owTvj1PcGpIvsp8gBFJgxQbxF+sKjxcVFhX9rkqeQtTaMW9YMK9ZtfZtfoormQ/n3SCWVYPLXLcx1nljEAYKf/JX7uPbh70veQXvomt+nx/vcl17k/E2X5t1DohC/OTxHBf5rj2mFGi5rnvZbrzuV0HRGLILzen+ZjhsgpJLeYjQcNKZIe5tICQEi3X9tNdPf6XAzsHfOkeneUeuEwoCCBUenK2xrjQ0B1ZoS1H33r++Fyn0QhJzW0dJdoNkI3jLIoWDLEIvkqi0w2VR45OLAo/mJdXiLS9268iNJw3JSSmLFLI4wDghy1BwemqlDcDcX98Qe8efPt/zBAALmg77542oEjTIUoHC3//+GP/Izx6/0O+ha35fY3TXtkGtLRa+ODzDAk0JMgj3Q0RtbWu5so00JJ5SP+FTarRxLPAncmqGqaFb1eZGykQgWQzHnFLiIAuaKAcKD05X11LdBMApZTRx9QXojEUT81Lj6ttOCPLIHaYhDtIQ+31a1WfcgFP6nWkbYv9Y/YS41sTP9as1oloAK/6aZaVRaYfG0AFDSdnywLano5anrfvDFKbRiKRAHJJ3814a4rAf4aAX7ThteL7dpxc5PrnI8XhR4mxNp/lVbVAb006HlfANsWKhY4j9LMBhFmG/FxNfO1FIQrURUdQGl+saM57klw1RUSyHZ/iJbhrSBGOYBu2NY/v1kPH3tErho3GMLO7cHr4MXc2+ju7a3lxsX19em/ZQfJUeESmBvSxqm+GrOo4XgZ8KX/B0c83eteTC02BZauQ81PAbNarlZDFGgmcasJB4nKgQo4SCmgSoyU3TCEVRI2XKW16b1rbNssaisQ7rmu4FUmxi4P1EhHjICvtphJT5yLeHMUZJgMpYnK1qfHqZ49GsasV+3ofdWsvDFIUBN8JpSNvAXhwwZdC21pOShYFe9J0EdE+g2g0ANOleVhoL4/DhIMJ3j/ov9Nx3ze9rjO7ano2rFmjbU1cPzy3yvGFwYozD7mveN6T96NncX2/qvfJc1Fpf+3keSSBx+6APWzUIlGCCPxW0VaWvcZcDKdopahYpsozLKa3nghviWu/adkkJ5oVRqs44DdpVFUA/04sftqfmxnrhHlp7GgBbThqWudIaea03xdZ/vQPCKEBdNZw659jYXEBw0l8WKozSAPtZRMrqLEQ/CdtEOS9OvFxX+Hxe4uGswNMlhWPMq4YODMxbJj9KWv31YjpgjJMQI7bDS0NvnUOK6MY4rEqDZUXbgsY4QDgosZn2S8HPXcSTiThsXTN6vRjfHkatB+fzomt+nx9dXXsz8TZfG/Ds62sdgXI6tG9rEAC0IrC9l8AV9jaRvhluOOFzVetWgF1bi7Km+4H1omfQIV6pzZbLwadtAnf2epDWUgSxIV9hyUMVCLATAzWsgA/woEFQbahxjTgcCWLjupMEsr1vZZHCrQHR96wVuCxqfH5Z4MGixDynxr7UVJO1Jd/6lOv6MKE63ItpSBHyBLvgxr/UlgI2ttyVejFNom8f9BFZ81Jrdtf8vmJ01/Zi8MKpBTfFN6XFSeZTAb440BvxphdfxgR+n1LTj3bdISpN/rBrFi+smddr3Yb2sP1zs4jEBpAsMNuK7f2in51GCtY6XOaUIHeZ11hy+g0lm21+RhyS00MS0ql5EFPsr7XEk/XpON4+B/wc1Gzrth0E4Vdo/jRecIhHGAVoKk1WPA5orIHWDtqRq4T3FPb8YgCIApq+DmK2RctI7JeE9Dna0rXkjcWjWYHHiwrneY1ZsWn+desCQZY+IXPhiI5BFkH+AJOEqp1cb8dgN4ZjkwVNuKUkGkbMNkNHoxS/em+Iw36X8PZl6Gr2dXTX9ubiea9vVVEjesmC5O2loJKiTWKjIKSvTpHwdqHeeWhRag43Irrb2brmMCaisYGYDmSPxpNTKYn2pgKFomraocIoDtBPQii+F1WGamusNk4SMxZb84OBcZT+ZoxtPeZ9PZYgfrIXSycclnQ4iHB7EKMXKqxq03rdn61rLMuGm2ui7UlJXvdZpDCOA/QShVEaYRAFUAqAAyrj2vuQ3+yN+zE+2kvxB98fv9Dz2zW/rzG6a/t68JQC3/gsORr4KgIpWvcE5+g0TUXl+vf0k9ZtukMcyPa0b7nZUkmEJ6ernQjkm6CkQCgELPOWPTc22BKdefR4Ot1PNh6LOTf85yxuqLfcDfzP9Cdlv0LyefTGUMNKOe0bVa0Pxdg0iTQVFWAPxzjE+TxH2ZANTtFQ8Y2UIB9Jy5HDxkI4amxpc+aT1kRrY0bhHqp9bCH7F0uBVjRXaUqmW5TkRTnP2TZoqyEGyDYolhJRSJNi73QhOJYzjRSUIKFkWRsUtUWuvWCDftlxFOCPf/82vn/35aUFva3oavZ1dNf25uKrXJ+38PRT4avalFCJ1vZxnIZ4VvjS82DbCcgPeYrGtD7qF+sGhsMkfJOrhIAF1TXh/dS5tvptogM44piCNhyAylg4izbyuNDeB960lpeWHSyco+FBKASc4Ch6QYMFqulEv0giiaNejFuDGOOUNpQnyxqfXeZ4vKwxKyqsStOm0MFRmFEW0mR4lIQYZ7RR7MchURQbCxFIfLSX4meOXx7t4euxujt0eMUI5KbweLTCr62GuHUmuPK1EQdKuK3GlFwWapytN5+rpGg5v74xvtWLkNis/ZztCOTtSbG2FNLgITihrOKsdPrZAtZSM7uqNMSK3rMtXSMOMDnu06ndOZTatdOBBU+IK02T1RVHZQJAHGwFdEgqejS9ril4wqG1SQtZXZsEEntpgMAmTJmgNKNVRdy0sjEoGwHtDJSllVrGqUbOOeJ/OQvhAG2AnH2FHaggB1K2wR6e66WkxNGAct9LbWDGVLhX/Bzm7MNcN7QSXFcU/ewT5CLmmsW1bi14QiWR9BT2QK+NyvtHSmCcdqWvQ4cOXw4lBfazCPu8cve0BS/Urozl+GVKM40VCXxHPBlOXqAZlmL3fuadgPxkeFVqFI0lCgNTJzxFIxHkfBNAUrqmEMiioJ2vGOtwuqqgDSWdxkwrkFIhYuGaEMA4Deke09D9rNDEvTXGoXHkoCMhEIdAKCTK2qCEgXUCsgLmeYPPLnOAKXKjJMBhP8JHRz2koURlHJ4uKzyal7zlJLrEo4XBZ7OSwkHkJonuoBfh/eN+S997WejuAB3eOkSBxEFAwiwPvxZf1RtO700NsY+k9JNLOC+qowAJMjYnqsPH8wqmatCLeUrsOVFJDDncvFNp1W9abm5eGxS1ueaFa51E1VjMmDNs2M/XT2sjJVtKBvGhAhwNYnywnwFw0Nygto4WTLvw1ImCgyF85vsgDhBIyV9L/OqCObSfLmpYbRB6HhiHh+ylIZJhTPHI2HhdFl65rC2Mo0mBn5ALbNw1iFdGTb02FrmltZ9k0ZrkyXGaUPN6C/T8l+znuyzJfm5VGdQN2fAYCzTGoGzIBUOxqTsFglB8dMz83+NBjGE/gvoanL0OHTq8u0hChduhwm1eHF0NTaoMpao9XdF9IgkkRil51Y9ecDIcXGm8r9pizktqHBelRm4cnhQ1tDGtl3ugBCKmfvlgJONca0fmk0I9JS4NBNKQkuP6iQ/koOa60pQMWnCSnacmWLeJTY6lbDebfthR1KRv8ZvTQAmMkgAf7KX4/p0RIgmsaoOTVYWnywpn65oa/Yq+7sfnOX7n6Qq/en/4woK3L3xuX9p36tDhNUYakqH4MTY8z7IxWLHrw5obqspYWOMXRQQBakB9s+p5xAKOU+FqnG9NiQX/PC8QyPj/bw/jnYZXm92muKgNCwY2xdHyCZwKrOYgB1pV+YScSFFyWxSQ5cwwDnF7EENKMgmvtMWabcpKT81wJIiojUWjyfKmHysMEgVrgSAOkOc100oMatPgyWLDb1YSbQqeD5KIA2rSlRBYVxTPSclx1BQTzcRhVmjKgXeAsxaCeWD9LUeNxliO6CSaRJISTQPDBJrDOqiht1hV5IDhLX2KxqDWDqVutibrdCOJA4lRL8L39jcT+w4dOnT4qvD3ljvD5MbQpFJblEtq7AC6lwyTsI2M70XXEzKfhavNsGE3hHnRwIYBPn+6xKqmFNTznB7D3OjWcz4OJDKmxYWBgEwCaOvYTpLvN9piXlFDTDWTrDCTgCh5NTe3jbfe5G0gicXRWqilEd2PHMjmLQ4ktANK7VBrg/N1AyAne8qI+MPfPe7jlyJyn1iWDU6XNc6LGova4s4wfam/t6757fDOImEe6nbMbc0Ct1VleEpMa6b6SkMMADFPGAWI6+qcgxMOjSGebt4Y4EpTnIQUOtHbao6P+vGOLZexG8J/0ZDPbc5NnbYOzrlNzK8mlXKpLcCuDLGitb+fGHvv46N+zH64jjleto1tvupqESchZiygC3rECat5glxqjdrQ38u15SK2dZ0C6EUSg5imHbf6cWvXkzeGk482sZrG0IT6bFXjsbFoLD2+QAJZFLBLhxclKo6vDhGyA4R/7sgWTWNeaFwU5CyxqEisWDakaNbG4WJ9Xc3doUOHDl8XQohWPH1/nO40wwt2LKqNw9m6xtmaaBJKCgxjmgp7RyD1nDt+tUX7G48zfNAPsa42lpizom6pcRfrGpecKgqg1UtknKgWKeLfOgfU2mFZa1hOWCvZhlQbcpCIAoFYMUdX0L2gMRZV4zghzmBZNlhXG1vPQBF1MI0UNAQChdYpaVWSdueEqSOeB5zGAb7bj3A0SnH7JVPVuua3Q4ctRIFEFETY2xoMGo4z9hxe///EEfZN46Z5DNjP1tMmLMiT1li0fOLzKz+XTuRUGLwn7TAJcNSPdqYCDVubXW2KiRZAvNiyIbuZWWHbSbHisAtPn4iUwCAhxfLtrcQ5w5NmFYewzW5TnMJPpGNYS4cB67CJF9YWBYvjVpXFqqqwDS+A8xzkYRwhZvFcZR27TdhW5KZZUDcvGpytampeORs+DTe2aN4147BHnOEPDyJ8LxwgDmha3GiLedVglmucLEusLPD+3sudInTo0KHDVWw3wx5t1HtJE9tSW1wWDS4LakoFKEVtGIc0uNhKMf0ySCHYKz3Aff5Y2RhuvDXmZY1zFhZf5BqXeY2niwqPbMn3PqrPg1jhKAsRBwpSAcaQEG/JfvheTJc3FKhhLRAoun+mUYg9hGgM3X8apq15LYyUG2F0zDZqcfuzfXKnQ16TXsc54MlawxxluL/38jZ2XfPbocOXQMlNQdlG1k/w6GSJdaPbSEkvcLvu9EsBHS3tgV0nnCNfXt9A+gLo4RPLNn9ImHDQi3aM1/00uGyoAc2ZbuCdInxTWWnb2um4OTWnQhCNIubmuB8HuHfYx4CLtuKHXLMFjZ/aAmR/EyiJ3pZrmBLkFVxrQysuY1A1VAitA6/pNp/vm+KI3SqG/DwL59A4h0r7azOomLfsv89F3kAb1/LSIkWctdbfN1LY78U46ofYSyPcGY1x57CPpqi/wivh9cNkMvlNAH8MwAkAN51O/8KVf/8fAbgN4DGAXwHwL0yn0x/wv30C4BP+1IfT6fS/8VN62B06vLPwtdxzhqkmb5phCmCiP1jQ52z7xPv/bltyfhH8hvN4EAPotVSJJXuxn60qXLLn8GVOoRunqwqfyM09IQkUDrIQ740SxGzlScFLrL/gya93INKW3XUECQAHETk3VHwv0M6hqAwua0pDlbzB8zSLfhSypSdR4sib/6u7aNyErvnt0OErIgokxlmIMTZOE74J9X7Afkrbuj7cZC3IIju23wWA1pbLOHJnuMnP2KeapeyY4H1/97MItwdiZ2JctRNh4g8XbJ0zKxosK85w18SBPl83eJo3KEsNYMPvTUKFYRxgwN7ESUhTZClFy0suGgM/LI4CBbLADNpr8taK1PCTGM9YBziaOuc1pfm01Af2lcw4ZS5UpDwufYNviD9WNmSUbh2Q18Q9I8Gga58HH6857if4o9/Zx0cvaJvzumEymWQA/k0APzedTqvJZPLXJpPJb0yn07+x9Wl9AH92Op26yWTyTwL4VwD8Y/xvf3U6nf75n+6j7tChwzbiQOKoH+OIfce37TsXFfF3a+NwkZO7g0cWqnYy3I8CDG/y7bwB21QJwqCdDi8rjUXR4GRVtT9vXjQ4LSo8WZQIFSWDxgHpPY76Md7fS5GEElII1Nrgku8pfhvZ8AbPWgfnyHs+ERL9MKCGWFtUrD0hYbrFmag5xp40H/2sRCIcvnf7xewpvwhd89uhw0uEEKI9aV+Fd33wzXDBQje/5r/5+20S0AAAzsGCGjttwVZu17+uTTgLJWLOU09bekB0jWPsvXzXnKanpcSj8xX5JjdUnMrGtnyxbSgO9xgk7IkcBkgC0bpT+PQ8Cgfxil8Jny5seIVmuTF2IFN2b9fG7BGmfJDQwlpqavuRQpSGlEAniGJSNQZ5Q42052+XjUFe06FkVmnob+89x2/ztcevAfh0Op36V8DfBPBbANrmdzqd/vNbny8BrLb+/l+YTCb/QwADAP/+dDr9f33Dj7dDhw5fgpvsO8vGUGNa6ta1yOtKvJDu43kJ12j0o4BrMYUBXXUVugm702Ea4uTeIamiGOjHy7JNI/X2aw/nJYmSWYA9iBWOBwneH6fIYoVACBSNwUVeY12TxoM2eJ4SQXVcKQEbsLewJbvMxhhU2iGvG6xqg8v9l7ut65rfDh1+SvCcqu2iBoDVtqadFnu6QtHQVNQAwJWJsQBlW1JaGzfHbI1m4GDslugO1xtWSkyjiXEcsg9wQFZg7+2l2N/rYTbrw7lNSt2Srd7mRcOWY6YNFVlWBsvq+nSarpvEC9QYK0SBQCioYEIAxtLk+2r77382TQUsQgm2LaPAkVACUkgIjvnUzAk2jix7sjBuxYT++zfawAUBDq78Dt5QHANYbv19wR+7hslkEgH4kwD+6a0P/7npdPp3eIL8n0wmk390Op1+vP11o1H6laJclZIYj99OR43u2t5cvMnXd3vr/+2Wy8OyJKpCqS1sEGBpgWWugVxDCqAXM10iDVsqm3wOQd3V8YC1JChelBpz5go/nBW4zOtW0Pd03eDpuoFUsqVMDBKFO8MU39qLMEhCZJGCsQ7n7PFbsmZlXWsUHLXcMHWiMeTWo43Dewf9l/q765rfDh1eMQJ5XRThcVXgRoKyTWNsgU3AO0Ng00gKwZNTRysnsv1yqEAhG3PoGx/T/qiALhtujDkoI1QYZyHioE/pdIxakw3brOSEtlJjWfm0II1aO9RaY1Zc/1mKg0bImUK1nsKBktzsCkghkSjyrPSNmOHJsE+78zQRx9FHSvnvRWs24eiQgUCh3wuh1Is3dK8hTkBTW48hf2wH3Pj+GwD+p9Pp9Ef+49Pp9O/wf/PJZPKfAfgjAHaa3/k2OfsF8DYnhXXX9ubibbu+oQSGWQhkIfqDBA9PllhWmm3HDJaNwXJV4cnW13gdiZ8M99hJJ3xODnEPQC8LcTcL8Yu3esxRJorGyYLCKy7yBouqwWxV43Tu8OOnK9aWEFWuF0kc9iIcDxLcTgP0RgphILEsNc7zBgXrSgpNIjkrBQLnXvh3d3Q0eOa/dc1vhw6vMUIlMUrJJP0qfHCFb4xLvflvbTbNIP2f2MQPgzi3Al6AR3xjH78MR5PovNI+z+MavGduElJjHCuJcRLimO3UKL6Ygi7y2k+NGxZIbKzk6tYwHQBu4DVzA+s50YEUCJTk/5KrRqQkBNvmhGzo7nlmeUNTBO96AQBGimfSTN4w/C0AH0wmk5ipD38EwL8+mUz2AejpdLrgqe6/BuAvT6fT351MJn98Op3+tclk8hsAwul0+h/w9/ougB/d+FM6dOjw2iNQHKaxda/w/OHVVkOc85ZxXZsdElSsJDfDHNoUk5POF21+5JabxW0AP3PUb2lua26Iny42aW4L/ziWGk+XNX73yQpK0sAjVgL7vQi3BhEOexH6SUiJpgCskjiIOsFbhw4dsKFR3NQYex7vblNs28AJXGn+KCZekLODoxWX5jQ4T7r14R7WORgpoa27UYjn4XlgCT/OlEVr1BwrRIGkx8n0DB9Hva50Gz7SGAfNfGNt3DVqBBVOUgr7Eu2t3QJWECspkEiJQEooAaRx+FYkvPHE9r8L4K9MJpNTAH93Op3+jclk8i8DuADwlwD8HwH8PIBvTSYTgAY3fw00If7zk8nk7wNwF8C/PZ1O/6NXcR0dOnT4ZnATf1hbr4fwAU8G64YCnqrc7ojqJOs52oY4UsiigP3ib4YQonW0OOzH+PZBDwBtMdeVwbJqcLau8Whe4umyIuoGp9TNS42fnNN0V3E6XT9WeP+wj+/uJ7gzSl7acyPcTerzbwinp8uv9MPetlXFNrpre3PxJl+fNnbLE5jjgw2pcyttESUR1utnjH35663b0CoAtE2yddQk+8bziyYHiu10fFJdyEK5iFXFACUGabsRfeT15r+1Jh9JbTec3+0mWQi0nF+K9wDSNMI/8N4I917Q6/foaPDmd8wviK5mX0d3bW8u3ubr+zrXtj2tXfFUeCcR9AqUFDtBTc/TFH/hz60NLnNqiJ8sSpys6rbGG+sQhQq/en+E3/r521/+TbfwRTW7m/x26PAOIlASfSVv5BkDwGCY4unZqm2Gr/0R4mbbNg/HRuiG/IC3K5ADhX7AURBIrSTy5ov7SsVpejH7EO/3IoQ87XWsEHYcz+kThlYVp+IZi4aTirRxEMDbwvnt0KFDh6+NnWnt1se1sS1Fwoc75Q3Zly2Y1rCNq02xDyHyIuUv/Lm9CB8dkf2kdewpX2k8XpSYNcD7/S7hrUOHDt8wlBRt8XoW/PR4O+GtYhHaxuz8WQ0yJ8pZjsXUlAfvnRtIpEdKX+eoSHqe7xdZ9wgQ3SJUEge9CEHL2/CUDaDXi68FlnTo0KFDh10Ez9CceNvO/Dmb4u2wpiwkT3rfGN8U1iGFYKpFgONB8o1M7Ls7QIcOHb4SNtPjZ3+OsY6b201DvO3SQP//jPCPK9/HWJoG+E/1DTLATbJ/XFJASdlyfq+ilhL7oQResoCiQ4cOHd4FPMu2s+FJ8XZT7Cl1zwprCpXghpia4TTaJJk+j0fxV0XX/Hbo0OEbA/F+bw792IbPit+OyWy02/r75v+/yKjBMd2CGuVNcAb9IwABNELADqOXc4EdOnTo0AEAuRON02d72ecc7NR62dcWjXGYGxK7XYVP9zwqDWJrsJe9vLrdNb8dOnR45QikQBApZPjyaazmZCBvk7bdGNfGtdZmDTfBV9HLorfC7aFDhw4d3gR8kZd9pSmavuDI+m37zpZSNytwHCvsvcR8kq757dChwxuFQEkEijhkXwZPu9D839o4pL0YqbtZxdyhQ4cOHX568L7wY+xOi714uWgMwjSCqG8OZPqq6JrfDh06vLXwtIttvM12Rx06dOjwNkBuOUF8EzX7xUzZOnTo0KFDhw4dOnR4g9E1vx06dOjQoUOHDh3eGXTNb4cOHTp06NChQ4d3Bl3z26FDhw4dOnTo0OGdQdf8dujQoUOHDh06dHhn0DW/HTp06NChQ4cOHd4ZdM1vhw4dOnTo0KFDh3cGwrkvyArt0KFDhw4dOnTo0OEtQjf57dChQ4cOHTp06PDOoGt+O3To0KFDhw4dOrwz6JrfDh06dOjQoUOHDu8Mglf9AL4Ik8nkNwH8MQAnANx0Ov0Lr/ghvRRMJpPvAPgXAfwnAO4DOJ9Op3/x1T6ql4vJZJIC+NsA/h/T6fR/8Kofz8vEZDKZAPinABQA/iEAf346nf6dV/uoXg4mk8k/B+BDAGcAPgLwp6bTafFKH9TXwGQyuQ16r/3idDr9Q/yxBMBfBvAQdI1/aTqd/v6re5RvD97Wmg10dftNxttcs4G3q27/tGr2azv5nUwmGYB/E8A/O51O/zyAX5hMJr/xah/VS8M+gP/zdDr9V6bT6Z8G8F+bTCZ/8FU/qJeMfxHAf/qqH8TLxmQyUQD+VQB/cTqd/i8B/CkAP3m1j+rlgIvOnwPwz0yn0/8ZgB6okXmT8Q8A+HcBiK2P/RkAn02n038JwP8awL/1Ch7XW4e3vGYDXd1+I/E212zgrazbP5Wa/do2vwB+DcCn0+m04r//TQC/9Qofz0vDdDr9j6fT6b+79SEJYP2qHs/LxmQy+W+Cfl9vTYHZwh8CvSn/mclk8ucA/GOg0/bbgBxADWDIf+8D+N1X93C+PqbT6f8NwPLKh38LwN/if/8dAL84mUyGV7+2wwvjra3ZQFe332C8zTUbeMvq9k+rZr/Oze8xdp+ABX/srcJkMvnHAfzfp9PpD171Y3kZmEwm3wPws9Pp9N9+1Y/lG8IHoJv8X+VT6D8I4E++2of0cjCdThcA/jkA/5fJZPJXATwA8PErfVDfDN6J2vIK8M48r13dfqPw1tZs4J2p2y+9trzOze8JgMHW34f8sbcGk8nkHwbwDwP4Z1/1Y3mJ+McBlJPJ5H8MWl/86mQy+TOv9iG9VCwA/GA6nc757/8RgF9/dQ/n5WEymfwSqIj+1nQ6/W3QdORfeJWP6RvCW19bXhHeiee1q9tvHN7amg28M3X7pdeW17n5/VsAPphMJjH//Y8A+Ouv8PG8VEwmk98C8I8A+NMAbk8mk197xQ/ppWA6nf7Pp9PpX5xOp38JVGT+znQ6/d+84of1MvG3ARwwjwygqcLbIpa6B+BiOp1q/vtjAMkrfDzfFP46aBKEyWTyfQD/P56edPh6eKtrNtDV7TcUb3PNBt6Nuv3Sa/ZrnfA2mUz+KIB/AsApgOZtUQ6zSOI/BPD/4Q/1APxr0+n0r76yB/WSMZlM/jiAfxpABLq2/9MrfkgvDbzy/C+CXpfvg4QGb6Sydht8c/grAEoAMwA/D+DPTKfTx6/ycX0dTCaTfwjAfwvAfxnAvwHgf8X/9JdBN4nvAvhfdG4PLwdva80Gurr9JuNtrdnA21e3f1o1+7Vufjt06NChQ4cOHTp0eJl4nWkPHTp06NChQ4cOHTq8VHTNb4cOHTp06NChQ4d3Bl3z26FDhw4dOnTo0OGdQdf8dujQoUOHDh06dHhn0DW/HTp06NChQ4cOHd4ZdM1vhw4dOnTo0KFDh3cGXfPboUOHDh06dOjQ4Z1B1/x26NChQ4cOHTp0eGfw/wfSEZJVpZF7JwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from problem_formulation import coordinates\n", "\n", "pyplot.subplot(121)\n", "pyplot.plot(coordinates, gauss_evals[4].T, alpha=0.3)\n", "pyplot.title(\"Gauss evaluations\")\n", "\n", "pyplot.subplot(122)\n", "pyplot.plot(coordinates, sobol_evals[4].T, alpha=0.3)\n", "pyplot.title(\"Sobol evaluations\")\n", "\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Select polynomial expansion\n", "\n", "Unlike [pseudo spectral\n", "projection](./pseudo_spectral_projection.ipynb), the polynomial in\n", "point collocations are not required to be orthogonal. But stability\n", "wise, orthogonal polynomials have still been shown to work well.\n", "This can be achieved by using the\n", "[chaospy.generate_expansion()](../../api/chaospy.generate_expansion.rst)\n", "function:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:56.803224Z", "iopub.status.busy": "2021-05-18T10:56:56.802901Z", "iopub.status.idle": "2021-05-18T10:56:57.496879Z", "shell.execute_reply": "2021-05-18T10:56:57.496610Z" } }, "outputs": [ { "data": { "text/plain": [ "polynomial([1.0, q1-0.15, q0-1.5])" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import chaospy\n", "from problem_formulation import joint\n", "\n", "expansions = [chaospy.generate_expansion(order, joint)\n", " for order in range(1, 10)]\n", "expansions[0].round(10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solve the linear regression problem\n", "\n", "With all samples $Q_1, ..., Q_N$, model evaluations $U_1, ..., U_N$ and\n", "polynomial expansion $\\Phi_1, ..., \\Phi_M$, we can put everything together to\n", "solve the equations:\n", "\n", "$$\n", " U_n = \\sum_{m=1}^M c_m(t)\\ \\Phi_m(Q_n) \\qquad n = 1, ..., N\n", "$$\n", "\n", "with respect to the coefficients $c_1, ..., c_M$.\n", "\n", "This can be done using the helper function\n", "[chaospy.fit_regression()](../../api/chaospy.fit_regression.rst):" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:57.499196Z", "iopub.status.busy": "2021-05-18T10:56:57.498876Z", "iopub.status.idle": "2021-05-18T10:56:58.633592Z", "shell.execute_reply": "2021-05-18T10:56:58.633910Z" }, "scrolled": false }, "outputs": [], "source": [ "gauss_model_approx = [\n", " chaospy.fit_regression(expansion, samples, evals)\n", " for expansion, samples, evals in zip(expansions, gauss_nodes, gauss_evals)\n", "]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:58.636767Z", "iopub.status.busy": "2021-05-18T10:56:58.636411Z", "iopub.status.idle": "2021-05-18T10:56:59.817568Z", "shell.execute_reply": "2021-05-18T10:56:59.817304Z" } }, "outputs": [], "source": [ "sobol_model_approx = [\n", " chaospy.fit_regression(expansion, samples, evals)\n", " for expansion, samples, evals in zip(expansions, sobol_nodes, sobol_evals)\n", "]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:59.820566Z", "iopub.status.busy": "2021-05-18T10:56:59.820137Z", "iopub.status.idle": "2021-05-18T10:56:59.943057Z", "shell.execute_reply": "2021-05-18T10:56:59.943286Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyplot.subplot(121)\n", "model_approx = gauss_model_approx[4]\n", "evals = model_approx(*gauss_nodes[1])\n", "pyplot.plot(coordinates, evals, alpha=0.3)\n", "pyplot.title(\"Gaussian approximation\")\n", "\n", "pyplot.subplot(122)\n", "model_approx = sobol_model_approx[1]\n", "evals = model_approx(*sobol_nodes[1])\n", "pyplot.plot(coordinates, evals, alpha=0.3)\n", "pyplot.title(\"Sobol approximation\")\n", "\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Descriptive statistics\n", "\n", "The expected value and variance is calculated as follows:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:56:59.945674Z", "iopub.status.busy": "2021-05-18T10:56:59.945343Z", "iopub.status.idle": "2021-05-18T10:57:00.427872Z", "shell.execute_reply": "2021-05-18T10:57:00.427527Z" } }, "outputs": [ { "data": { "text/plain": [ "(array([1.5 , 1.4977, 1.4955, 1.4933]),\n", " array([0.2 , 0.1997, 0.1994, 0.1991]))" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "expected = chaospy.E(gauss_model_approx[-2], joint)\n", "std = chaospy.Std(gauss_model_approx[-2], joint)\n", "\n", "expected[:4].round(4), std[:4].round(4)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:57:00.430427Z", "iopub.status.busy": "2021-05-18T10:57:00.430109Z", "iopub.status.idle": "2021-05-18T10:57:00.491652Z", "shell.execute_reply": "2021-05-18T10:57:00.491921Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyplot.rc(\"figure\", figsize=[6, 4])\n", "\n", "pyplot.xlabel(\"coordinates\")\n", "pyplot.ylabel(\"model approximation\")\n", "pyplot.fill_between(\n", " coordinates, expected-2*std, expected+2*std, alpha=0.3)\n", "pyplot.plot(coordinates, expected)\n", "\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Error analysis\n", "\n", "It is hard to assess how well these models are doing from the final\n", "estimation alone. They look about the same. So to compare results, we do\n", "error analysis. To do so, we use the reference analytical solution and error\n", "function as defined in [problem formulation](./problem_formulation.ipynb)." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:57:00.494021Z", "iopub.status.busy": "2021-05-18T10:57:00.493694Z", "iopub.status.idle": "2021-05-18T10:57:00.501934Z", "shell.execute_reply": "2021-05-18T10:57:00.501651Z" } }, "outputs": [ { "data": { "text/plain": [ "(2.7883251263460805e-15, 3.4891142128290477e-12)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from problem_formulation import error_in_mean, error_in_variance\n", "\n", "error_in_mean(expected), error_in_variance(std**2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The analysis can be performed as follows:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:57:00.504052Z", "iopub.status.busy": "2021-05-18T10:57:00.503740Z", "iopub.status.idle": "2021-05-18T10:57:00.510675Z", "shell.execute_reply": "2021-05-18T10:57:00.510363Z" } }, "outputs": [], "source": [ "sizes = [nodes.shape[1] for nodes in gauss_nodes]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:57:00.513008Z", "iopub.status.busy": "2021-05-18T10:57:00.512694Z", "iopub.status.idle": "2021-05-18T10:57:00.790196Z", "shell.execute_reply": "2021-05-18T10:57:00.789882Z" } }, "outputs": [], "source": [ "eps_gauss_mean = [\n", " error_in_mean(chaospy.E(model, joint))\n", " for model in gauss_model_approx\n", "]\n", "eps_gauss_var = [\n", " error_in_variance(chaospy.Var(model, joint))\n", " for model in gauss_model_approx\n", "]" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:57:00.792641Z", "iopub.status.busy": "2021-05-18T10:57:00.792322Z", "iopub.status.idle": "2021-05-18T10:57:00.909238Z", "shell.execute_reply": "2021-05-18T10:57:00.908964Z" } }, "outputs": [], "source": [ "eps_sobol_mean = [\n", " error_in_mean(chaospy.E(model, joint))\n", " for model in sobol_model_approx\n", "]\n", "eps_sobol_var = [\n", " error_in_variance(chaospy.Var(model, joint))\n", " for model in sobol_model_approx\n", "]" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2021-05-18T10:57:00.911887Z", "iopub.status.busy": "2021-05-18T10:57:00.911620Z", "iopub.status.idle": "2021-05-18T10:57:01.331973Z", "shell.execute_reply": "2021-05-18T10:57:01.332399Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pyplot.rc(\"figure\", figsize=[12, 4])\n", "\n", "pyplot.subplot(121)\n", "pyplot.title(\"Error in mean\")\n", "pyplot.loglog(sizes, eps_gauss_mean, \"-\", label=\"Gaussian\")\n", "pyplot.loglog(sizes, eps_sobol_mean, \"--\", label=\"Sobol\")\n", "pyplot.legend()\n", "\n", "pyplot.subplot(122)\n", "pyplot.title(\"Error in variance\")\n", "pyplot.loglog(sizes, eps_gauss_var, \"-\", label=\"Gaussian\")\n", "pyplot.loglog(sizes, eps_sobol_var, \"--\", label=\"Sobol\")\n", "\n", "pyplot.show()" ] } ], "metadata": { "jupytext": { "formats": "ipynb,py:percent" }, "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": "3.9.5" } }, "nbformat": 4, "nbformat_minor": 4 }