{ "cells": [ { "cell_type": "markdown", "id": "85a5f2bd-3589-402a-bb2e-a53fe1b71a43", "metadata": {}, "source": [ "### Data collection" ] }, { "cell_type": "code", "execution_count": 1, "id": "4b3fa140-5612-4130-bc42-fe7058a90270", "metadata": {}, "outputs": [], "source": [ "from relife.datasets import load_circuit_breaker" ] }, { "cell_type": "code", "execution_count": 2, "id": "78576593-a684-414b-80db-9172603431dc", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([(34., True, 33.), (28., True, 27.), (12., True, 11.), ...,\n", " (42., False, 31.), (42., False, 31.), (37., False, 26.)],\n", " shape=(4204,), dtype=[('time', '" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "event = lifetime_dataset[\"event\"]\n", "\n", "plt.hist(\n", " [lifetime_dataset[\"time\"][event == True], lifetime_dataset[\"time\"][event == False]],\n", " bins=50,\n", " histtype=\"barstacked\",\n", " label=[\"complete\", \"right censored\"],\n", ")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "6355e675-6ec0-49d3-b4ea-a525159e10d5", "metadata": {}, "source": [ "### Lifetime model estimation" ] }, { "cell_type": "markdown", "id": "609829e6-befc-4446-8719-0b27efa9e7eb", "metadata": {}, "source": [ "We want to estimate the probability that the asset will be functionning beyond time $t$. This information is given by the survival function [1] :\n", "\n", "$$\n", "S(t) = P(X > t)\n", "$$\n", "\n", "$X$ : the lifetime of the asset (random variable)" ] }, { "cell_type": "code", "execution_count": 4, "id": "1530fe02-4eb4-4a79-aaa6-111329ea097c", "metadata": {}, "outputs": [], "source": [ "from relife.lifetime_models import Weibull, Gompertz, LogLogistic, Exponential" ] }, { "cell_type": "code", "execution_count": 5, "id": "04265e0c-e596-40cf-bff7-9c46364def51", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[3.7267452 0.01232326]\n" ] } ], "source": [ "weibull = Weibull()\n", "weibull.fit(\n", " lifetime_dataset[\"time\"],\n", " event=lifetime_dataset[\"event\"],\n", " entry=lifetime_dataset[\"entry\"],\n", ")\n", "print(weibull.get_params())" ] }, { "cell_type": "code", "execution_count": 6, "id": "86358c5a-0778-47e5-90ae-25587c8f4775", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.00390781 0.07579546]\n" ] } ], "source": [ "gompertz = Gompertz()\n", "gompertz.fit(\n", " lifetime_dataset[\"time\"],\n", " event=lifetime_dataset[\"event\"],\n", " entry=lifetime_dataset[\"entry\"],\n", ")\n", "print(gompertz.get_params())" ] }, { "cell_type": "code", "execution_count": 7, "id": "6dc7b168-0c66-4a96-b4a4-78a1e43ca8f1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[3.92211849 0.0128701 ]\n" ] } ], "source": [ "loglogistic = LogLogistic()\n", "loglogistic.fit(\n", " lifetime_dataset[\"time\"],\n", " event=lifetime_dataset[\"event\"],\n", " entry=lifetime_dataset[\"entry\"],\n", ")\n", "print(loglogistic.get_params())" ] }, { "cell_type": "code", "execution_count": 8, "id": "b4614b7a-ed8f-493a-b7a8-af702c846e4b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.00463636]\n" ] } ], "source": [ "exponential = Exponential()\n", "exponential.fit(\n", " lifetime_dataset[\"time\"],\n", " event=lifetime_dataset[\"event\"],\n", " entry=lifetime_dataset[\"entry\"],\n", ")\n", "print(exponential.get_params())" ] }, { "cell_type": "code", "execution_count": 9, "id": "a5c44ae4-9db3-4c12-b90c-27ff281355ae", "metadata": {}, "outputs": [ { "data": { "image/png": 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tlqIiJEVGSUvDnJk5OaaPjjaRNmNaaai5Vy2FGqgnsPspnOWvYVYNq+4Oq5ffuZfzoKUFrIa3hyWRxbWpK5ntyUS1eIjZMrDaXCzOm0Zpmkh3CAQCwVAQQoKJIyS60BMJ4rW1JOrqiB49RttzzxHeti253jZ/PinXXYd12jQAFLfL6PbwnYNzJ+IRowizo75X2iMWDtC86x+kHnsZW9wwxGoze/h2yiLedNQgKYbIyFLncnPOQlxmGwlrKnFbOrmp2awsmInLajvjtyQQCASTCSEkmHhCogstFiNeVUWiqYlYZRXtzz5L6L33kk/g1rIyQ1CUlRmzJ8xmTJkZmDIzkc8VT4ou1AQEaowoRdfMj07agu007XmKnOOv4Ii2AVBuS+OL7hmUuzrbcFUXq50XsMqXD7JCzJaB7MxgYW4pZZn5Z/x2BAKBYLIghAQTV0h0oYVCxCorUf1txOvqaH/+eYIbNoBqPIFbSkrwrF2LfcECIyIhgeL1Ys7KQklJGeerP8NoKgRqoa3aGHveiY5Orb8V/94nKK54LRmheMWVy7dTUolYAgCkJGZwS/ZSfBY7mmIl5sgmw5fPqqJZuK32cbklgUAgmMgIIcHEFxJdqG1txCqr0IJBEs3NtL/wAsG33kKPG0/g5oICPNdei2PZsqT/xDlbnKlpnYKiskeEIq5qvN9wAungM0yvegeLGiUqwXd803nBHQVJB9XOKvtFXJxeAIBqSQF3HsuK5lCSlj1edyQQCAQTEiEkmDxCootEczPxqiq0SBS1rY3Ayy8TeP119IiR8zdlZeG55hqc55+PZDY6ECRFRvGlYcrMPPsHhp2MphqW2+01Pay4W8JhdtW8T97RF5hWtxlZ19hrtfGFtEIarcbrmJaYw225i3GaLEa6w5FNYfZMVhTMwHIuiTKBQCAYACEkmHxCAkDXNKPDo6YGPZ5ACwYJvPYagZdfRgsaYXslNRX3VVfhWr0a2dZdNCi7nJgzM1HS0s4d50w1bkQn2muTA8NUXedQSxNVtbuYe/SfZPuPEAd+nprJIyk2kEBKpLLWs5r53nRjH4sLi7eYVSULyXKdY2kjgUAg6AMhJJicQqILPZEgXldHoq4OXdXQIhE63nyTwEsvoba2Ap0jzC+/HNfll6O4XMl9JZNiOGdmZiLbz5H8fzwMLeVG22gnrZEwW+pPYK/fwYLyF3FHWthmtfL/MnJoNWvousRUfSU355ahyDLICglHNvOmLmNOdsE43oxAIBCMP0JIMLmFRBd6LEasuppEYyPooMfjBDdsoP2FF0jUG74JktWK6+KLcV95JSafr8f+SorHSHukpp4bLaThVmg5BrEQYEQn9jTVccxfxcyKN5lZ/Q5BdP47PYOXXEY0xxabyu25F5BmMezKVYuH7Nz5nD91rkh1CASCcxYhJDg7hEQXWjhstIy2GNEIXdMIbdlC+z//mRwQ1mW/7bnmGszZPYsHz6kWUl03CjJbTyTrJxqCQbY0VWDyH2fJkWdI66jiOaeDu9PTiclAwsMa92UsSk0zDqFYsPqmcdH0laQ6zqHaE4FAIOhECAnOLiHRhdoRJF5VidrWDhiumZE9e2j/5z+JHuy0iu5yy1yzBsvUqT0PIJGc7yGnpJzdUYpE1IhOBJsAiCZUtjRUUhtsZlrtZuaceI0Tis6XMjM4YTGh6zIz9Av5SO40ZFkCSUJ3ZrOk9AJK0kVXh0AgOLcQQoKzU0h0ofr9RstoKJRcFj18mLZ//pPIzp3JZbbZs/GsWYN11qxeokG2WjBlZGDKyEA6m6MUwWZoOQqJKDo6B1ua2eevxhZsYsWhf2APVnN3uo8XO7teXLEyPpO/EodJAYxCzNKpq1hSOH0870IgEAjOKEJIcHYLiS5ObhntIlZVRfvzzxPatMnwXQAsU6bgWbMG+5IlvTs6JDClphq1FGer0ZWmQutxo10UaAqH2Fx/nFAsxKyqN5lZ+RaPuZ38JC2VhCShxHL4ROal5DqMYlVdsZCRu4gLShdjVpRxvBGBQCA4MwghwbkhJKBrKFgj8erqpIkVQKKxkfaXXzbMrWKGG6QpKwvP1VcbXhR9RCFkm7Xb6Mp8Fk7LDLVA8xFIRIkkVDbXn6A+3EZaewXLDz3OQUJ8KSsdv6JAwsUa95UsSu0sYJVkHGnTuWjWBcINUyAQnPUIIcG5IyS60DWNRF0d8dpa9ET3oCu1vZ3Aa6/R8dprSS8KOSUF9+WX477kkj6njEqyhNIVpTjbXjs1YYiJYCM6Orsb6zjUXo8SD7PkyDMobQf4fFYGhy0W0BQWKJexNqcwubvizmXVnMuF34RAIDirEUKCc09IdHGqB0UXWiRCx1tvGV4ULS0ASDYbrtWr+2wd7UK224xairMtStHRaAgKLcHx9la2N1WSUBOU1m6k9PgrfCsjlXVOBwD5iZXclj/bKMIEsKeyfNblFPlEEaZAIDg7EUKCc1dIdKHHYsRrakg0NqJr3f9deiJBaPNm2l94gXiVMSUTRcG5ciXuq6/Gkt/3VExJllB8PkwZGWdPlCIegcYDEO2gJRxiQ3054USM9LbjLD/4KA+4FP7gNSIP3tg8PlOwFIti1JjoFidzp1/CrJypA51BIBAIJiVCSCCERBdaNEq8uppEUxOc9L+m6zqR3btpf+EFou+/n1xumz8fzzXXYJ0xo9/20LMqSqFp0FoO7TWEEnE21JbTGg1iiwVYefBR3tSb+H6aD02SsMVK+Le8C3GZDaMqTbFSXHw+y6bMGeebEAgEgtFFCAmEkDiVU02tTiZ69CjtL7xAeNs2w9AJsBQX47nmGuyLF/c7uyNZS5GRMfk7PoJN0HSYeDzKxroT1IXbkLUEi48+S0XgAF/LTCcsyyixHD6VfRmZnXNOdMVMVt5iLihdjCKLjg6BQHB2IIQEQkj0h9oRJF5dhepv67UuXldH4KWX6Fi/Hjo7QEyZmbivugrnqlXIVmu/x5Vt1u4oxWT1pYiHoX4/ejzI1voqygNNoOuUVb0NdW/zuewMWhQFOZ7CLenXUOTsnHEiK6Rmz2P1jJWYha22QCA4CxBCAiEkBkMNBIhXVaG2B3qva28n8OqrdLz+enenh8uF69JLcV922cA1El2+FBkZk9M9U01A4/sQbmVfcz37/bXouk5B4x6yyp/hc1k+Ks1m5ISTj6Rey3R352shybgyZ3PJrPOxmSapkBIIBIJOhJBACImhovr9xKqqk4LhZLRolODbb9P+8suojY2AMbfDuWoV7iuvxJyTM+CxZasFJT0DU2bG5JrxoeuGvXZ7DeVtLWxrrkDTdNLaK5h+8K98IcPNEYsFSbXxQc+1zElJNfaTZOzp07l01oU4LLaBzyEQCAQTGCEkEEJiuCRaWw2XzFC41zpdVQlt3UrgxReJlZcbCyUJ+8KFuK++Gmtp6cCRh84ZH6bMDBSvd/JEKQJ10HyUyvYWNjceR9N03KFG5u17iK+mW9lrtSJpZq52Xsvi1HRjH0nGklbCxWUXkmITA78EAsHkRAgJhJAYKYnmZuLV1WjhSK91uq4TPXiQwIsvEj5ppoeluBj3VVfhWLIEaRALaclsxpSRbqQ+bJPgqT3cCg0HqG33s7GhnISm4oj4Wbzvz3zLq7DVbkPSTFxiv5rz0jp9JSQJJbWYS2ddhNfuGt/rFwgEghEghARCSJwOuq6jNjUZgiIa63ObeE0N7S+9RPDdd5OFmUp6Ou4rrsB14YXI9sFtpBWP2+j48Pn67QyZEEQ7oH4f9YEW3q0vJ64msMUCLN37IN/3aLztsCNpCpfar2HlSWJCSi3m0lkX4LOL3z+BQDC5EEICISRGg+Qcj5pq9Fi8z22SFtxvvIEWMAo3JYfDcMy8/PJ+HTNPRjIpmNLSjChFH5bdE4J4GOr30dzexPq6Y0TVBJZ4iGX7H+YnjgivOx1ImsLljmtY3uV4KclIqVO5pOx80hzecb18gUAgGA5CSCCExGiiaxqJxkbi1TU9BoOdjBaLEdywgcBLL5GoqzMWKgqOZcvwXHUVlilThnQu2ek02kjTfEgTrZUyEYP6vTS3NfBO3TFiagJTIsryfQ/xE0eINzrFxBXOa1iW2i0m9NRiLp65kkxn6vhev0AgEAwRISQQQmIs0DWNREMD8ZrafgWFrmmEd+0i8NJLPRwzrTNn4r7ySuwLFgwpjTFhLbnVBDTso6m1lnfqjhFXE5gSEVbsfZAfOSPGfA5N4WrXNSzxdooJWUFLLWb19GVku9LG9/oFAoFgCAghgRASY4muqoagqK1Fjyf63S5WXk77yy8Teu89UI2JpKasLNxXXjmowdXJyDYrpvR0lIwJ0kaqqVC/l4bWWjZ0iglzIszKPX/if1xx3uwUE2vca1iUkmXsIytovmlcPH0JWU4hJgQCwcRGCAmEkDgT6KpKor6eeF3dgIIi0dJCx2uvEVi3Dj0UAowUhmv1alyXXTakOgqgu400Ix0lNXV820i7xERLLevrjpLQVKzxICv3/B/fc2u86XQgaWZuSFlDmTsDAF2xgG8aq6ctJEtEJgQCwQRGCAmEkDiT6KpKoq6OeH39gIJCi0QIvvMOgVdeIdHQYCxUFBxLl+K+8kqsxcVDPqdkNnUXaDocp3sLI6NTTNS31LC+7iiqphnDvvb8H9/2Smy025FUK7ekr2WK3aiP0Ex28BVzybQFZIrIhEAgmKAIIYEQEuOBnkh0RygSav/baRrhnTsJvPxyzzqK0lKjjmLRokH9KE5mXAs0O8VEZWMlmxvK0XQde7SNFbt/z5fT7Oy0WZFUJ3dkrCHHZgw2Uy0u5NSpXFwyl0xn+pm9XoFAIBgCQkgghMR4oicSxOvqSdQPLCgAYsePG3UUmzcn6yiU9HTcl19u+FEMI9owbtNINRXqdnOk7gQ7WirRdZ2UYB1L9jzAZ7O8vG+1oKgePpO9hjSzYVCVsKZiSi3gkpJ5pDuGmNoRCASCM4QQEgghMREYjqBItLbS8cYbdKxb1+1HYbPhvOAC3Jddhjk7e1jnNuZ8pGNKTz8zDppqHGp3sa/uBPtaqwHI9B9l9vt/4fbsdI5bzJhVH3fmXIPbZJh1xe0ZWFNzuaR4Hj67aA0VCAQTByEkEEJiIjHUlAcYfhShd98l8MorxKuND2QkCdv8+XiuuALrrFnDLrJUPG6j68PnG1bKZNjEI1C7ix215RxuN2pACht2MeXYU9yWk0WN2YRDzebzeVdhkc0ARF15OFMyuKR4Hl6bd+yuTSAQCIaBEBIIITERSQqKQYoywXDVjOzbR+CVV4js2pVcbs7Lw3355TjOO2/I7aNdSIrc7U3hdo/oHgYl2oFet5tN1eVUBpsBmFn1Nu6addyak4VfUUjTp/CZ3EtRJBkkmbCnCK8nhdVT55NiPYMpGYFAIOgHISQQQmIiM9Qujy7idXUEXnmF4Pr16NEocFL76KWXYkobfvdD0psiPX3YgmRQwn7iNbt5u/oozdEA6DqLjz5L0L+bO7KziMgSU+Qybsk6H0mS0BUzEfdU0lLcXDhlLh6L+H0VCATjixASCCExGRiqD0UXWjBIxzvvEHj1VdSmJmOhLONYvBjXFVcMPs68H5QUjyEqUlNHL/XR0Ui4di/rqg7TkYggawku2vsnDiQa+HxWBpokMd+yiOvSFxv3ZrIT8Uwhy+PggqL5uCxiaqhAIBg/hJBACInJRLdTZl2/1ts9tu9qH33lFaIHDiSXm4uKcF9xBc5ly5BG4IBppD7SMKWnjY4td+tx/HWHebPmCDEtji0W4LJdv+Nli8p3MowoykWOVVzoLQNAtaYQdeaRn+rivIJ5OMzj5I8hEAjOeYSQQAiJyUhylkdtbb/TRk8lVllJ4NVXCb37blKEyG63kfa45JKhu2aegmyzoqSlY8o4zdRHwwFq6svZWF+OqqukBqq5ZM8f+WOKg1+nekGX+HDqlZQ5Coz7cWSh2tOYkuZhWd5c7KbBx7ELBALBaCOEBEJITGaMaaNNJGpr0KKxIe2jdnQQfOstAq+9htrSYixUFCPtcfnlI057wGl2fWgq1O7icF0lO1sr0HWdooadLDv8BN9N9/GE24Wkm7kjYy05ljSQJCLuInSzg2kZXpbkzsWqjHINh0AgEAyCEBIIIXE2oOs6icZGErW1aJHo0PZRVcLbtxN49VWiBw8ml5uLinBfdhmOFStGPPhLUmTD8Co9HdnjGbowiUegdifba05wJFAPwPzyFymueZfPZGWzxWHBorv4t+zr8ChOdNlExFOMbDYzPTOVhVlzsCgTYFiZQCA4ZxBCAiEkziZ0XUdtbiZeW4sWCg95v1hFhZH22LixO+3hcuG66CIj7ZE+cntqyWLG1GV4ZR9C+iHSRqJmN+9UHaUx2o6kq6ze+yesHRXcmFNAtQW8ZPCZ7DVYZDOq2UHUPQWTIlOWnca8zFmYO70nBAKBYKwRQgIhJM5WEi0txKtr0DqniA6FZNrjjTe6uz0kCfuiRbgvuwxrWdlpTRI1Zn2kY/L5kMwDfNi3VROsO8i66iOE1Aj2aBtX7LyPRqJcn1NI2KRSaJrCxzMuRZZk4vY04vYsrGaF2dkZzE4vQ5HH0FBLIBAIOhFCAiEkznYSra3Ea2rQOoJD3kfXNMI7dhB47TWi+/cnl5tyc3FfdhnO884bWnShPyRQvF6jnsLrRZLl3tvU76e+sZINdUdJ6AlyWg5ywYFH2Gm1cGt2Lrqssdg+j2tSlwMQdeWjWjw4rSbm5mQz3TcdWerjuAKBQDCKCCGBEBLnCmp7O/GaGtS29mHtF6+uJvD66wQ3bECPRIDO2R6rVuG+9FLMubmndV2S2ZSsp+jhoqkmoGYHhxtq2NVagabrzC9/iRk1G3jSmcp/ZRrbrk25iAXO6SArhN1T0RULXoeF2dk5TPNOO60IikAgEAyGEBIIIXGuoXZ0GIKi1T+s/bRwmOD69QRef51EbW1yuXXWLNyXXop94cLTNqlKtpKmpxkDxCLtaDW72FZbQ3moHllLcPGeB0jrqOLbKVN51qci6QqfyFhDviUraVYFEhluK2VZeRSnFJ/WNQkEAsFACCGBEBLnKlooRLymhkRLCwzjt7RrtkfH668T3rEDOn/FFZ/P8KRYvXpURpMrbpchKkxh4q3Heae6nOZYO85IK5fvvA+TGuG6jLmccLVhw8Fnsj6AR3GRsPmIOYwJqLmpdsrSCynwFJz29QgEAkFfCCGBEBLnOlokQrymFrW5CV0b3q9roqnJGGn+9tvJkeYoCo6lS3FfeimW0/Ck6EKSJeREEx16hHeDdUSIk9+0l/MOPkpAUlidPYeYrZVMJYPbM6/FLJmIugtRzS4kCQrTnMxMm0KOK+e0rkMgEAj6YsIJicrKSn77299y4sQJSktL+dznPkf6IK13GzZs4IknnqChoYHc3Fw++tGPsnDhwiGfUwgJARhjyRO1tSQaG9FVbVj76rEYoS1bCLz+OrGjR5PLzQUFuC69FOfKlUaqYsQXl4CmQ9QEAhzQ24i5rSyteJaipt1sMuXwqZwUJFOIMlsJN6ReDIqZiKcYXTahKBJT05zMTJ9Gun3kbawCgUDQF2P9GTqskvHjx4+zaNEiDhw4wOrVq3nnnXdYsmQJzc3N/e7z5z//mdWrV2O1WrnqqqsIhUIsWbKEF1544bQvXnBuIVssWIqKsM+fjzkvD8lsGvK+ksWC8/zzyf7Od8i++26cF16IZLEQr6yk9c9/pvqLX6Tl4YeJV1eP8OJM4Mkj22EjP2rBXtXEAdNSwoqTFYlabqzPRNdlDkSOsim4B0lLYAnWAKCqOhUtIY60HsMf8Y/s/AKBQDBODCsicccdd7B9+3a2bduGLMtEIhGmTZvGJz7xCb7//e/3uc/q1avJz8/nkUceSS679NJLyczM5G9/+9uQzisiEoK+0FWVRGPjsOZ5nIwWDNKxfj0dr79Oor4+udw6cyauSy7BsXgxkmnoYgWAtgqigRb2NtURUINkRE+wrO1FdOAK+0eoy94MSNySdjVTrXnEHJkkbEYUwmFVmJruYqZvJm6Le8DTCAQCwVCZUBGJF154geuvvx65s6feZrOxdu3aAaMLpaWlHD9+HE0zQtHRaJSqqiqmT59+GpctEICkKJizs7HPn49l6hRk+/BSE7LTiefKK8n50Y/IvOsu7IsXgyQRff99mu+7j+ovfxn/44+TGCDi1gt3LlaLhZKUNKySmUZrERW2mUjAX8Kvo/vnAzqPN79OW7wdS7gRSTVaVkNRlerWMIdbDxOKD92kSyAQCMaTIQuJcDhMXV0dhYWFPZYXFhZy7Nixfvf7+c9/zsyZM5k5cyZr165lxowZXHfddXz729/ud59oNEp7e3uPL4GgPyRZxpyZiW3uXKyl05CdzmHvb5s9m4wvfIHcn/0Mzwc+gJySgtbWRvtzz1Hzla/Q+ItfEN61C10bpDZDNkFKPl67lQJnBhIyB1znEZJdZNLCd1tbUMN5RIjyeN1LyNUNOOqOgG4c1x+KURcIcaj1EDF1aEPOBAKBYDwZspCIRo1BSw6Ho8dyl8tFpNMEqC/Wr1/P008/zQc+8AE+8pGPcM011/Dwww+zc+fOfvf54Q9/SEpKSvKroEC0xgkGR5IkTD4f9jmzsc2cgZIy/BCeKS0N7/XXk/fzn5P+uc9hnTULdJ3wzp00/vzn1Hzta7Q99xxqW1v/B7F6wJ5KtstBhiWFhGxht+diAG5gAwtqFqElHNQobfwzvhV7VQ3ePdux1TaghMI0tkdoCRpiIqElRvpyCAQCwRlhyDUSiUQCm83Gfffdx6c//enk8rvvvpvf/e531NXV9blfYWEhN910Ez/5yU+Syz7+8Y9z6NAhNm/e3Oc+0Wg0KVzAyO8UFBSIGgnBsFE7giTqaoftRXEy8dpaOtatI7h+PVqw08ZbUXAsWYLr4ouxzpzZu4VUU6H5EMFQmAOt9XSoIWYH3mFKeB8tUirnyXdiKngYSdL5YHQ2KxJTiDmy0BQbutmE6vWQW5xNRnoW01OFlbZAIBg5Y10jMeRKMpPJRFlZGbt37+6xfPfu3cybN6/PfVRVpaamhhkzZvRYPmPGDF5//fV+z2W1WrFarUO9NIGgXxSXE2XaNMyRCPHaWtSm4XtRmHNySL35ZlI+/GFC771HxxtvEDt6lNDmzYQ2b8aUk4Nr9Wqcq1ahuFzGTrICnjyc6nEKHKkc7ohx0Lmc7Gg5Pq2VH2ub+FrjlVgzX+JZy37ytBTyIyaijhykeAJTYwutLa1Ys2o4mttC8dRFKKfTnioQCARjxLAec2655RYee+wxqqqqANi3bx8vvvgit9xyS3Kbxx57jNtuuw0ARVFYuHAhjz/+OImEEaKNRCI8/fTTLFmyZLTuQSAYFNlmwzp1KvYFCzDn5Q6rdTR5DIsF16pVRgvpf/83rosvRrLZSNTW4v/b36j50pdouv9+oocOoeu6keKwekh32cm2pKLKVva5VgGwVn+Dxe05xNtno0k6f7HuIKwFMUdbk+eLqzpNjQHajx/mxMZXiOzfT7y+PjlGXSAQCCYCw2r/jMVifOQjH2H9+vUsWLCALVu28OEPf5gHHnggGdq9++67uffee/H7/QDs3LmTG264AV3XKSsrY+fOnfh8Pp555hmKi4c2Y0C0fwpGm67W0URdHVp05EWNWjhMcNMmOt54g3hFRXK5OT/fiFKsWIocqiIUjXOopQl/oo0lbS+RFTtBnSmXC8PfwTzlfmRLMzMTGdwaXYJqz0Y1dU8u9dhNpDmtZDgy8dl8xmTSlBRMaWkoqamnPT9EIBCc3Uw4Z0uAXbt2UVFRwbRp0ygrK+uxbv/+/Rw5coTrrrsuuSwej7Nr1y7q6+vJy8tj3rx5yRbSoSCEhGCs0HUdtaWFeE0tWmjkLZe6rhM7doyOdesIbd6MHjPEiWSx4Fg0D9eiUtpSUzkabECKN3NRy6OY9ASPm6/jrtiFOKbchyQnuDI2ndWJGUSduSB1C4R0lwW3zUyOKwePpXtOiCRLKF4vSno6SkpK3+POBQLBOc2EFBJnGiEkBGcCta2NeF0dqn+AjowhoAWDBN99l4433yTemQYEMGenE50zncoSL4XqPmZ1bCQmWfik/l+8Z2vElvMkkg6fiixnijKFuC0tua8kQXaKDZvJRIEnH4epd4urZFKMcedpacgejxhPLhAIACEkACEkBGcWLRgkXldnGFGdxl+HruvEjh41ohTvbU66b+omhY5pOUwpLCcjtZHj1hms7fgGiaxnMHu349IsfCGyCputCO2kFIciQ67XjkUxUegpwqr0X5Asmc2YfKkoaWkobuGSKRCcywghgRASgvFBi8VI1NUZQ8IS6ukdKxgk+PrzdGzYTLyuKbnc4omTWhLipZlr+VbkKhxT7kOx1VGs+rgjtoq4IxdOav20mWWyPDYsJjNF7imY5MGLRmWrBcXnQ/GlobiGZ9YlEAgmP0JIIISEYHzREwljpkdd3YhmeiRR4+iN7xMur6Jhw3Y4cBS5S6DIOnsLynh46kLKlz0FSoLLYqVcLC0mbvX1OIzbZiLdZcVqslLoLkSWhl5sKdttKL40TGk+ZLt98B0EAsGkRwgJhJAQTAx0XUdtbiZeWzfywsyOBuioIxCJU9HQSGLvDrJ27SXm744sVLvdrFsS5O05Eh9RVlBgm4N2ShojzWXBYzPjtDjJc+UjMfx6CNlhx+TzoaSlnd4IdYFAMKERQgIhJAQTD7W9nXhtHWpnm/OQ0TVoOghqnNq2CFXhJjLbNzK1chvNRz20VjgxxQ3PlYQMu6YpeGctJlq21DC56qS7+FLBa/OS5cg+rfuRnU5MaZ2iwmI5rWMJBIKJhRASCCEhmLho4bAhKJqH4ZgZboG2KmKqRnVrkOpIHee3/B2X6ueIeR7/PDyfooOHmNlamdwl7nbgXzAH//xZxDtniCiyRK7XhkmWuz0mRgHF7UJJS8OUmookRIVAMOkRQgIhJAQTHz0eJ17fQKKhYQjOkzo0HYZEBH8oTk1HO3rHTpa1vYCGzOup/8J/NF6Ko/0Y1zY/zIX7VFyR5J4EiwtpXTCbwPRibDYz2Sk2JCRyXbm4LaP49yGB4nYbNRW+VCSzefSOLRAIzhhCSCCEhGDyoGsaiaYmEvX1aKFw/xtG26H1OLquU+0PUxttYVbzE2TGKqi3FPG4/UZ+Wr8AU8pW3JmPs/wg3LLDg6+y20I74bDRNmcmieXz8RTnAhKFnkLspjEoopRA8XhQfD4jUiFEhUAwaRBCAiEkBJMT1e8nXl/fv8FVSznEAoRiKrVtIdpCBzm/5VFkNN5LuYY/hi/klfYC3Hl/Bc8eUjU7X/JfQvreGry79mPuCCYPFS/MQV+5ABbNpSizFLM8himJLotun8+w6DYNf26JQCA4cwghgRASgsmNFg4bjpmnTh6Nh6H5CKDT0B6hMdxBeuvzFId30674eCP1I/yofgl1qoKv+BfEzW3MS+TyIdO1SMi4jp7Au3Mf7iPHkTQNAN1iRl84m8xLr8I+vY/x5qOMJEvInhTD/EqICoFgQiKEBEJICM4O9HicREMD8fqT6ijaKiHcSkLVqPaHaY7UsqLxAcx6jJ3ui3lXXsxP6xeCrRLXlN+iSzo3JJYx19I9PVfpCOHdc4DUXfuxNHenPkzZ2bguvBDn+eejeL1jfn9CVAgEExMhJBBCQnB2kfSjqKtHa2+FxoOAjj8UpzkYxtr6MjOCmwjJLt5Ku4mn2qbxSnshnvRX0TNex6IrfEb6EGly5qkHxtdQT/qe91F2HEDqMs+SZWzz5uG64ALsCxackQ/4pKhI86F4vUJUCATjiBASCCEhOHtRAwES728hUXMsWXjZHmljbsN92LQQ+10rOWRfwA9qF9OQsJE99T6CtipyNS+3K/+CqQ9Xy3SXBTcayq73sb23H+3Y8eQ62e3Ged55OC+4AEtBwRm5RyEqBILxRQgJhJAQnOUkomjHNpJobKa9roV6fwil7S1mtr9OTLKxLu2jHIhlcm/DfCRTG2klPyMqxzhPK+MK08W9DidJkJNix2oyZnRkdZhg03Y61q9Ha+su/LRMnYrzggtwrliB7DwzMzhE+kMgOPMIIYEQEoJzgOaj0F6DrmqcKK/DX1PLtIpf4FL9HHYs4pBrGX9rmcb6jlx8KTuJ5/4dgFtZQ7Fc1OtwZkUiJ8WGIstIktEWasVCZM8eOt55h/COHaB2zvkwm3EsWoRz1Spsc+YgyXKv440FhqjwiO4PgWCMEUICISQE5wCJKFRtBV0jpmocaeiAoy8z6+iDJDDxZtrN+CU336tdQptqZVrBI9S79uLWbXxW/ihOqbd3hMOqkOU2ZmgosokpniJMsuH/oLa3E9y4keA77xCv7HbQVFJTcZ5/Ps4LLsCcfXq228Ois6VUSU0VPhUCwSgjhARCSAjOETqjEgB1bRGaAhHy3vsmqYFKjqXMZ7/tPPYEU7m/aQ6yFCWv9Kf4lQBlFHGjdE2frZ4+p4UUu/GhbFWsFHp6TgvVdZ34iRN0vPMOoY0b0YLd3hSWadNwXXABjmXLkB2OMb75k+gyv0r1YUr1CptugeA0EUICISQE5wgnRSVUTTeiEo07mbH9x2iSzIvzP080ZuPhg3nsCKaT4zxMuOD/UCWd66TVLJJm9TrkqfUSTouLPFden9NC9Xic8M6ddLzzDpHdu6HzrUEym7EvWYLz/POxzZ59xlIfxslBcblQfD4Un08MFBMIRoAQEgghITiHOCkq0RKMUdsWIXvrf5PW+j7lmQvZUno9gajCTzfmE1ZNLMp7ksOe9zDrJj4r30ia5O11SJMikdtZLwGQaveRac/std3JqH4/wXffNVIfNTXJ5UpqqtH1sWoV5tzc0bvvISK7nEZNhc+HbLUOvoNAIBBCAoSQEJxDnBSV0NE52hiExveZtuVuNGReXPRFgnYfm6vdPPF+JhY5wbTp/0ulVE8umdwhfQilj5ZQp1Uhs7NeAiDblUOKJWXQy9F1nVh5OcH16wlt2tQz9VFSgvP883EsX47ico3O/Q8D2eEwuj98PmT7GMwXEQjOEoSQQAgJwTnGSVGJQCRBRUuI3G0/ILVlL+WZi9hS+iE0HX63LZfjbXZmZFXTknY/ET3GBaZlXKot6fOwaU4LHntXEaNEgacAh2notQ/J1Mf69Ubqo9OWG5MJ+8KFOM8/H/vcuePSfSE77MlCzTPVyioQTBaEkEAICcE5RjwC1VuTNQrHm0No9Qco3vJfRlRi8RcJ2nzUdVi49718NF3i0jlv8576AhISN+d8mqkhD6aOoDF3vJNT6yUUWaHIUzSiAV9qW5vR9bF+fY+uD9ntxrlyJc7zz8dcVDTmsz76QrZZUVKNSMV4REoEgomGEBIIISE4B2l4H4KNAEQSKscag+Rv/SGelj0cy1zE1tIPAfDCER9vnkjFa40zc9ZD7IscxmtJ5+MlX8Wqylj8bZhb25E6PSPMikSO147S+QFv6ezk6CsdMlRiFRUE168nuHEjWnt7crk5P99IfaxciSk1dcTHPx0kixlTp6iQ3e5xETYCwXgjhARCSAjOQaIBqNmZ/LG6LUy0eh/FW+42OjgWGVGJmCrxs00FtEbMnF9YxwnPH2lTO5ibuoIr8v7F2FnTMLd3YG71o4SjuGwKGa7uegmH2UG+u6DPTo7hoCcSRPbuJbhhA6EdO6BrMJkkYZs1y0h9LFkybkWSktmE4vUa0YqUlDPbfSIQjCNCSCCEhOAcpXY3RAxL65iqcbQxSP6WH+Bu2cOxzMVsLf0gAAeaHPxpVw6ypPORhZt5Ifw0AB8ovINpnjk9DimHI1ha/eRocdyW7ihEqi2VTEfWqF26FgwS2rKF4Pr1RA8fTi6XrFYcna2k1rKycfswlxTZMMDy+QxRIVw1BWcxQkgghITgHCXUAvX7kj/Wt0cJVu05KSrxJYI2I2Xw8O4s9jS6KEqJML30STYFd2NXXHyi9C4cJnevQyuaxjQ5jsXfnpwSmuXMxmv1jvptJBoajFbSDRtINDR0X4PXi+O883CuXImlsHDUzztUuqy6ldRUTF5hgCU4+xBCAiEkBOcw1dsgFgJImlTlbfkBrpY9HMtazNZpHwSgLaJwz6ZCYqrMDWU17DT/hYZ4MyXuOXyg8PY+awPsFoUpPgdyRxC52Q/tQQrd+ThMY9P1oOs6saNHjVbS997r0UpqLijAed55OFaswOTzjcn5h0SXAVZXXYXwqhCcBQghgRASgnOYQD00HUr+2NQRpb1iN8VbvosmyTy/+MuErYYfxJsnvLxwJA2nWeUTS3fwF/9TqLrK5bn/wjzfij4Pn+aykJ3S6cEQjWFuDTAl5sWsj23KQY/HCe/aRfDddwnv3Nk9QKyznsJx3nk4Fi8ed38I2eHobCv1irZSwaRFCAmEkBCcw2gaVG0BNWb8qOscaewgb9P3cLbu52DueeyaejUACQ3u3VxAQ8jCefltZOSv4422TZhlK7dN+xoplrQ+T1GU5sBl6x6SZZetTCMTmlpQAx1jfotqRweh994jtHEj0UPdokmyWAx/ivPOM6aSjnMdg2y1GJGK1FTRASKYVAghgRASgnMcfyW0Hk/+2BqO0X54M0U7fkxCtvDPJV8hZjaMpQ632PnDjlwkdD6/tIJXE89RFaki31HCjVP/HUnqHWkwKRLFGS7MSve6FGsKpd5S9FCIeEMDanMzuqqN+a0mGhoMf4p33yVRV5dcLrvdOJYtw3neeVhKSsb9Q1x0gAgmE0JIIISE4BxHTUDVe6AZ4X8dnaMNHeS/83VsHRXsKbyUAwWrk5s/sieL3Q0uilLC3LTgEH9ofIK4HuOi7A+wJH11n6dw2UwUpfUM3Wc7sinwFBjnVFUSTc0kGurRQuExuc2T6bLmDm3cSHDzZrS2tuQ6U2YmjpUrca5ciTknZ8yvZTAkRUb2eAy/Cq9XjEAXTDiEkEAICYHgZNtsMKyz2/a9Qv7e+4iZXTy3+MuoivEB5o8o/LSz8PLGWQ3oaft4qellFMnELSVfJt3W94dvdoqNNFfP4sKpKVNJt6f3WKYGAiQaGlBbWtC1sX/70FWVyP79Rj3Ftm3o0WhynWXKFBwrV+JYvnzcTK96cHKxZmoqss02+D4CwRgjhARCSAgExEJGB8dJlDe0k7fuC1giTewouY7D2UuT604uvPzaykqeDK+jvOMgmbZ8bi75Up9OlpIEU9Nd2E/yl5CQmOGbgdvSu4VUj8dJNDWRaGxEC0dG8Wb7R4tGCW/fTnDjRiJ79nTP+5AkrGVlOFeuxLFkCbJj6DNExpKuGSCK1yvsugXjhhASCCEhEABQtwfC/uSPHbEEge1PkXPwQcK2dP656HPonQLh5MLLVQV+Lixr4w81DxJRQ6zIuILzs67u8xRWs0JxuhNZ7q5BMMtmytLKsCr9t0Kq7e0kGhpItLT0mO8xlqjt7YTee4/gxo3EjhzpXmE2Y58/H+eKFdjmz0eeIL4QksVsCAqvV9RVCM4oQkgghIRAAECwCRoO9Fh0or6FvNf/HVO8g60zb+ZYWlly3aFmO3/cmYss6fy/5VXUuFr5Z/VfkZC5ufiLZDv6NoHyuSzkpPRsu3SYHMz0zUSRB57Jocdi3VGKSHTAbUeTRGMjwU2bCL37LvGa7hSQZLPhWLIEx4oV2GbNQlJGPlNkNEk6a3YKC1FXIRhLhJBACAmBADCmgVZtgUT3B3QwliC4+WEyjz1B0F3I83M/ZeQoOnlwVzb7mpyU+kJ8clkHT/rXcbBtBz5rFreUfLnfyZ+FPgdue88Pt1RrKtNSpw35ctW2NiNK0dp6xqIUuq4Tr6wktGkTwU2bUJubk+tkj8fo/FixAsu0aePe+ZFE1FUIxhghJBBCQiBI4q+A1hM9FlXW1ZP36r8ja1G2zv03jnlyk+uaQyZ+uqkQVZe4bV4tuVPc/Kn8lwQTARanrWZ1zgf6PE1fLaEAua5c8lx5w7rk8YpS6JpG9MgRQhs3EtqyBS0QSK5T0tNxLl+OY8UKzAUFE0dUALLdlmwtlV2uCXVtgsmJEBIIISEQJEnEjKiE3u3pEI6rhN65j7TKlwn45vDyrI+inbT+xSM+1p1IxWeP86VVLRxRAjx14o+AxL9MvZN8Z0mfp3LbTRT6ers5lnhL8NlGZmOttrWRaGxEbW09Ix0fXeiJBJF9+whu2kR4+3b0SHdxqCk3t1tUZGefsWsaCkm/iq66igmSmhFMLoSQQAgJgaAHDe9DsLHHouqq4+S+/nkkdLYs/Q/KLd2FkdGExD2bCmmPmri6pJmV87y8WP8se1s3k2JO49ZpX8PSTyFljteOz9kz/SFLMmW+MhzmkXdGjEfHRxdaNEpk1y5DVOze3T3uHDAXFeFcscJoJ03r2wl0vJBkCdntTnaBiDkggqEihARCSAgEPYi0GSPGT16UUIm9+n08DVtozruY9cVXEdViyfXba138fX8WFkXjKxc0gi+TB4/8hEC8lfm+87ks98N9nkqWJUoynFhMPZ+EzbKZ2WmzMSunXySotrcbUYoz5EtxMlooRGj7dkKbNhHZt6+7nRSwlpbiWL4cx9KlKF7vGb2uoSA77N0pEKdTpEAE/SKEBEJICAS9qN4OsWCPRQ1HtpK54W402cKO83/CUa27JkDX4b5teZxos7EoO8AHV9g5Hq3hH8fvA+CGos8wxT2zz1M5LApT0nt/ULnMLmb4ZiD3Ybs9EvREgkRzM4mGhjPinnkqans7oa1bCW3aZMz86Hpr7PKoWLYM+9KlE9IPQjKbUbwpIgUi6BMhJBBCQiDoRaAOmg73WBSNq2jPfRF74Dj1025ie+4yAmq32Khst/K/W/IB+LcVTWQV5PFGzZPsaHkHl8nLbaV3YVP6nraZ4baS6endTZBmT6M4pXgUb8xA7egg0dCI2nJmZnycSqKlxRgk9t57xI4e7V6hKMZ00uXLcSxaNCEngooUiOBUhJBACAmBoBeaCpXvgZbosbhl1wv4dt5H3Opj73n3cDRei3bSn/hj+zPYWuuhKCXC7atNxExmHjpyD/5YE7O9y7gq/6N9nk6SYEq6E4el9wTOAncB2c6xKVLUVdWIUjQ2onUEB99hDEg0NhrGV5s2Ea+o6F5hMmGfOxfH8uXYFywY95Hn/SG6QARCSCCEhEDQJ01HIFDbY1EkGsH05O2YYu1Uzv0Ch9NKaYr7k+vbogr3bDTmcHx0fiszpmdTHTzG38t/Deh8sPBTlHhm93m6vlwvu5ieOp0Ua8po3l0vtHCYRGMjiaYm9Hhi8B3GgHhtLaHNmwlt3tzT+MpsxjZ/Po5lywxRMUGjAJJJ6TbCSkkRRljnCEJIIISEQNAnkXao3dVrcdvGP5Ny6HFCKaUcXfpfHI5UktC7P3hfK0/llWM+Um1xPn85yDYXb9U9y9amdThNbm6b9nXspr5D9n25XgIoksKstFnYTGNvpqTrOmprK4nGJtQ2/xkzuzqVWFVVUlQk6uuTyyWLBfv8+TiWL8c2b96EFRVJI6zO9tKJMp9EMPoIIYEQEgJBv1RvMwZ6nUQk0ITlqTuQdZVjy/6bWmcW1bGG5PqYKnHPxkLaoiauLG1n5YIM4lqMR47+jJZoAzNTFrGm4OP9nrIozYnL1jvFYVNslKWVYZJ7rxsrtFgMtTNKcSbNrk5G13XiFRVGTcXmzSQau1tzJYsF+4IFOJYtm9iiApCtFuSToxViFshZgxASCCEhEPRLWzW0HOu1OPj6T3BWvY0/+zyq536OY5Eqwlr3B+32Ohd/32e0g37pchWH20Vt6AR/O/ZLdHSuK/gkpSnz+jylSZGZluFEUXp/0KRYUyj1lo5LHj7ZRtraOi4FmmCIitjx48lCTbWpKblOslp7iooJMkysLyRZQvZ4uqMVE1gACQZHCAmEkBAI+kWNG0WXes8Pzkj9IWwvfRldUji06le0W+yUR6qT6zUdfrM1j8p2G0vzgqw5z3CqXF//PJsbX8OuuPhE6ddxmPpudfQ6zOSl9h0Kz3ZmU+AuGKUbHD5GG2kLiabxK9CETlFRXk5oy5b+RcXSpRM+UgEnFWx6vchutyjYnGQIIYEQEgLBgDQcMCaDnkLkua9ia3mfhuLraSz5MNWxBvyJbm+J434b923LQ0Ln3y5WyUx3ktAS/OXoz2mK1lLqmcfagk/0+6GR77OTYu/7qXpqylTS7emjc3+nQXeBZjP6SQ6WZxpd14kdO2aIii1beoqKrpqKZcuMsecTXFRIJgXF40FOScHk9SJN4MiKwEAICYSQEAgGJNQC9ft6LY4deRPLhp8St3g5dMGviEtwJFLZYw7HI3uy2N3goiQtyi0XG0+a9eEq/nr0F2horCm4lZkpC/s8bX+DvQAkJMrSynCaJ4bPgq7rqH4/alPTGZ1G2t+1DCQqbPPm4Vi61Oj+mASTQGWHAyXVqKsQ7aUTEyEkEEJCIBiQPsaLA6DGUf/xCZRoGxXzvkQgaxmN8VYa4i3JTVrCJu7ZaEwHvWWlxrR8oyPj3YaX2NjwMjbFwSemfR2nue+/O7fdTKGv7xTHaNpojyZ6PN7pTdGEFgoNvsNYXsvJNRVbtqCeXKhpNmObO7dbVEyCropke2nnl4hWTAyEkEAICYFgUFqPg7+y1+L4lj9j3v84Hb7ZnFj8bTRd42i0ipjWHeb/5+E03q7wkuVK8OkrHSiyhKqr/OXoL2iMVFPinsMHCm/v90kzN9VOqqPvDwyn2clM38xRs9EebbRg0Bge1tw8bt4UXei6Tvz4ccOme8uWHi2lmEzYZs82RMXChRPSprsvZKfTsO4W0YpxRQgJhJAQCAYlHoaqrb2Xd9SjP/EpJHQOn/czYs4c2hIdVMW6P6RCcZmfvFtIKKFw3UKdRdOMcHpjpIZHjv4cTVe5Ov9jzPIu6fPUiiJRnOHE0s98hzRbGsXe0bfRHk26Uh+JxkZUv39cUx9d1xOvrDTSH1u3kjjJ/ApFwTZzJvalS3EsWoSSMrZGYKOFZDaheDwiWjEOCCGBEBICwZCo3W1MBj2FxKt3Y6rZSlPh1dTPMPwhyqPVhNTu8d3vVKTw3OF03FaNz11jw2oynhw3NbzKhoYXsMp2PlH6dVzmvj+0XDYTRWn910OMpY32aDORUh9dxKurk5GKeOVJkSdJwjpjBo7Fi7EvWYLJ5xu/ixwmIlpx5hBCAiEkBIIh0dEAjQd7L6/aAq9/l4TJyaELf4OuWAhrUY5FqpKbJDT42aZCmsNmVpfB6jlG54Cmq/z12C+pD1cy1VXGh4r+tf8Uh9dOqrP/p8wzYaM92mihkJH6GOeuj5OJ19UR2rqV8NatxMrLe6yzlJTgWLIE++LFmLOyxukKh8/JnSCK1zuhPTYmI0JIIISEQDAkNBUqNxvfT1muPfEp5FAj1bM/gz/3IoBe7aC76508sjcbs6LzhautuO2GYGiO1PHw0Z+i6ipX5t3EnNTlfZ5eliVKMpxYTH2nOBRJoSytDLtpYg63Gghd19Ha2kg0NRmGV9rEeNtMNDYS2raN0JYtxpTSk97OzYWFyUiFOS9vUj3xyw57MgUiu93CZfM0EUICISQEgiHTeNCITJzKnsdg+0OEPCWUL/8eAHE90aMdVO80qapot7F4Cqxd2u1n8F7j67xT/08sso3bpt2Fx5La5+kdVoWp6f0XAo6HjfZooycSJFpaUJuaUAMd4305SVS/3xAVW7cSff990LrbfE1ZWclIhaW4eFKJCkmRkd2e7jTIJGiJnWgIIYEQEgLBkOnHU4JwK/rjn0TSEhxd/j9EPFMBerWDHvdbuW9bPhI6n73CQlaK8SSo6Rp/P/YrasMnKHLN4Iaiz/T7YZSTYsfn6j807bF4mJ46fVJ9mPWHFo0aw8Oax2/WR1+ogQDhHTsIbdtGZO9eSHR3pCg+H/ZFi3AsXox1xgykfopkJyqyzWoIipQUFI9n0l3/eCCEBEJICARDRtcNy2w11nvVWz9GOv4OLXkXUzvrXwH6bAd9aHcWextdTM+WuPmCbkHQEm3g4SM/JaHHuTz3Rub5VvZ5CYOlOACyHdkUeMbPRnssUDs6umd9jHMr6clo4TDh3bsJb91KePdu9Eh3ka3sdGJfuBD74sXY5syZdLUJkiwhu1zdaRDnxDBAm2gIIYEQEgLBsGg+Cu01vZfX7YGXv4kmWzl44W/QzIbB0antoI0hMz/bVICmS3xitZkpGd356a1Nb/JW3TOYZSufmHYXHkvfXQKDpThg4thojza6pqG2tZFobERra5sw9RQAeixGZP9+Qtu2Ed6+Ha2jOzWTdNVctMgwwJqEH8qS2YyS0tli6vGIFtNOhJBACAmBYFhE2qF2V+/luo7+zL8jtVVSU3YHrfmXJled2g761PvpbKxOIc8n8alLzMk0hKZrPFr+a2pC5RQ6S/nwlM8i9WM2NViKQ0Jipm8mLsvkMFcaCV0DxNTmiVVPAaCrKtFDhwxRsW0bakt3iivpVbF4MfaFCydVW+nJyA6HUVvh8ZzTRZsTUkjs3r2bEydOUFpaysyZM4e0TzgcZvPmzUiSxPLly7ENo2BGCAmBYJhUbTVMqk5l35Ow9f8IeYopX/795OKQFukxHTQQVfjxxkJiqsxHVpqYnd+dpmiNNvLQkXtI6HEuzbmBBWmr+ryEoaQ4zLKZWWmzsChn/5OjFo0asz6am9HCkcF3OIMkXTU7IxXx6uoe6y3Fxcm6ClNOzqSsbzGKNt3JaMVksBwfLSaUkIjFYtx444288847LFiwgC1btvCRj3yEP/7xjwP+Yj3xxBN8+tOfZurUqWRkZFBdXc2jjz5KWVnZkM4rhIRAMExaT4C/ovfysB/9H7ch6SpHVvyIqLswuerUdtBXjqXyWrkPn0vizivNKHL33/j25rdZV/sUZtnCrdO+htfSd4piKCkOh9lBma9swtpojwVqRxC1uYlEc8uE8ac4mXhdHeHt2wlt29arrdSUnW2IikWLsJSUTNqnfMli7p4L4vEgmSfWTJjRZEIJiZ/85Cfcc8897Nixg/z8fPbt28eSJUv4/e9/z8c//vE+99m2bRsrVqzgN7/5DZ/+9KcBOH78OC0tLSxatGhI5xVCQiAYJv1ZZgOs+wFUvEtzwZXUzbyte5dT2kEjCYkfv1tEMK6wZpGJpSXdkQVd13is/D6qQkfJd5Rw49R/7z/F4bXjG8CoCsBn81HiLRnmTU5+kv4ULS2oLS3oqjb4TmcY1e83OkC2byeyf3+PDhDZ48G+YIHRATJr1qQr1jwZ2elM1lfILtekFUh9MaGExNy5c7nooov49a9/nVx2/fXX09HRwSuvvNLnPjfeeCPl5eVs2bJlxBcphIRAMAJqdkI00Ht51VZ4/W4SZpfhdCl3P4k1xFtojLcmf95Q6eGZQxk4rfCFayxJ62wAf6yJh47cQ1yLcXH2B1mUflGflzGUFAdAniuPXFfu8O7xLELXNNTWVhJNzaht/nGf99EXWjhMZM8eIwWyezf6SRbiksWCbe5cowtkwQIUt3scr/T0ONvSIGP9GTpkV5hEIsGBAwf4/Oc/32P5vHnz+N3vftfvfm+99Raf/vSnaWhoYMuWLWRmZjJ//nwsAyjXaDRKNNrdk93e3j7UyxQIBF24MvsWErkLwZGOKdSEu2Er7dndbZzpJi/+RIC4bjx1Ls9rZ32ll+awmY2HVFbP6n7L8FrSuTDrOl6vfZx36p9nirsMnzWz1+k0Tae2LTLgLA6A6o5q7CY7qba+za7OdiRZxpSWhiktzZj30dI64Yo0Zbsdx7JlOJYtQ08kiB48SGj7dsLbt6O2tBDuLNxEkrCWlmJftAj7woWYsyfHnJUudFVD9beh+o3ZNclukM6hY6IbpCdDFhIdHR2oqkpqas8/8rS0NPx+f5/76LpOY2Mje/bsYenSpcyaNYtDhw4hyzJPP/00s2fP7nO/H/7wh3z3u98d+l0IBILeODOg5ViP/DYAsgLTLoXdj5Ja/WYPISFLMplmH9Uxwx3TJMNVJc38ZW827x5UWVKs4LJ1RyXm+87jcPtuKoKHeKnqb9xU/Pk+ax06Iglag7EBZ3EAHGs7RplShsM8uZ8ATxfJbMaclYk5K9Mo0mxuJtHcMmGGiAFInaPNbbNno99yC/ETJwxRsWMH8YoKoocOET10CP/f/44pNxfHwoXYFy6clHUVejxOoqmZRFMz0Gnh7fEgezzCFIthpDbC4TAOh4M///nP3HZbd171hz/8IT/+8Y/7FRM2mw2v18uePXvIyMggkUiwZs0aOjo62LBhQ5/79BWRKCgoEKkNgWC41O8z3C5PJVAHT34KgEOrfkncntFj9bFIFWHN+BvUdPj1ljyqAjaWT1O4emHP54/2WCsPHvkxMS3KhVlrWZpxSZ+XMti48S4sioVZabMwy2dv8dtI0UKhpD23Fu1tOjZRSDQ1Ed6xg/COHUTefx/U7vkvsseDff587AsXGiZYVusAR5oESKC4XMieFBSvYYo10bpaJkxqw263k52dTUVFz0rwiooKiouL+92vpKSEefPmkZFhvFGZTCY+9KEP8cUvfhFd1/t8wa1WK9bJ/sslEEwEHOl9Cwl3NuTMh9pdeGveorHkwz1WZ5vTKY8aLYCyBFdPa+EPO3LZclRlxXSFVGf3363Hksrq7A/ySs2jbGh4kWL3LNJsvUPZqqpT1xah0DdwiiOmxjjqP8qM1BkT7g15vJEdDiwOB+Tno3Z0JCMVE63zw5Sejvvyy3FffjlaKGQ4a+7YQXj3brT2doLvvEPwnXfAbMY2a5ZRVzF//uT0q9BBDXSgBjqIV1cjmZTu+gq3e9LXVwyFYcWXrr76ap588km0zmEwkUiE5557jquvvjq5zf79+3n22WeTP1977bUcOnSox3EOHTpE3iSbRicQTEocadBfW+W0KwDw1bwFes9uAYdiw6N0t22W+sKU+sJoOqzb19v+eU7qcqa6ylD1BC9W/xVNV3ttAxAIJ/CHBn+SDsQCHG8/Puh25zKKy4WlqAj7wgXYZs7AlJGBNEhB63ggOxw4V6wg/d/+jfz//V8yv/513FdcgZKRAfE4kV27aP3zn6n5f/+P2u98h7anniJ2/DiTwCuxT/SEitrqJ3b8BOE9ewnt2EH06FHD6TQ2caNIp8OwujaOHz/O0qVLWbVqFddccw1///vfOXr0KNu2bSMtLQ2Au+++m3vvvTeZ6mhqamLp0qUsW7aMNWvWsG/fPn75y1/yf//3f9x8881DOq/o2hAIToP+0htqDB67FWIdHF/4dYLp83usjmlxjkYr0TrfIirbrfzvlnwA/u0Kc3KgVxeBuJ8HD/+EqBbm/MyrWZF5RZ+XY1IkijNcmJXBn2MK3AVkOydXod540mXPrTY3o/r9E7KdtAtd14lXVydTILFjPet5lNRU7AsWYF+wYNK3lp6MbLcZ9RWdEQvJNPaTcCdU+ydAZWUl9913HxUVFZSWlnLnnXcm0xYAjz32GM8//zwPPvhgcllzczP33XcfBw8eJCcnh5tuuonFixcP+ZxCSAgEp0GgHpoO9b1u8/3w/nN0ZC/nxNwv9lpdH2+mKe5P/vzw3hz21DuYniNz86reNQz7/Vt5seovyJLCx4r/H5n2vD5Pm2I3k+8bWsh3eup0UqwpQ9pW0I2uqqh+v+GkOcFmfvSF2tZGeNcuo65i7170k57eJYslmQKxzZ+PKfUs6eyROv0rOos2x8rGe8IJifFACAmB4DRQE1C5uVf6AjC6Op77Arps4uCF96Gae7pQarrG4Uglic520JMHet1+sZnC9J5verqu82zlnzjSvocMWy43F/8/THLfT1wFPgce++AFlYqkUJZWht1kH+INC05FTyQMj4qW1gnrUXEyeixG5MABwjt3Et65s+ccEMBcVGREKxYuxFJUNOm6QPojOc20M2IxWoWbQkgghIRAcNr0l94AePZz0Hqc+rLbacq/rNfq1kQ7NbHG5M+PH8zmvSonhekSn1xt7vVGF0oE+PPhHxNWgyzPuIxVWWv6PK1JkZmW4UQZQorDqliZlTarX1EiGDp6PE6itRW1pQW1vX3iiwpdJ15ZmRQVp6ZA5JQUowtk/nxss2cj288ewSmZFGSXO+lhMdLCTSEkEEJCIDhtOhqg8WDf6/Y9BVsfIO6bzqHFd/dares6x6LVRDrbQdsiCj/eWERCk7h5lYnpOb0L/A617eK5yj8jIfHR4i+S4yjq89Rep4U879De+D0WD9NTp4si7VFEj8VItPpRW5pRA4EJLyqgMwWyezfhnTuNFEjkpAFoJhO2GTOwLViAff58zFlZ43ehY4BkNqN43MhuD0qKB3mIwy+FkEAICYHgtBkovRFuhX/cBrrGkfN/StTR26a6Qw1xIlqb/Pmf5Tm8fcxBZorEZy83I/fx4f585cO837adVEsmH5/2Fcxy38VyRelOXNahRRoyHZkUefoWJYLTQ4vFjChFS8uEctMciC53za5oRaKhocd6U3Z2MlphnTHjjBQ2nkmSg8fcbiMV0k9BqhASCCEhEIwKA6U3XrsbqrcSmH49FUUf7nOTimgdATUIQCih8KN3pxCJw/XLTcwr7B2VCCeCPHjkJwQT7SxOu4jVOR/s87gWk0xJhgtZHlqkodBdSJbz7HrSnGh0iYpEczNaR3C8L2dI6LpOoq7OKNjctYvowYM9jLAkmw3bnDnY583DPn8+itc7fhc7Rsg2azJaobjdSStvISQQQkIgGBUGSm+Uvw1v/wTdkcH+837Rp/dEVItxNFqV7O9/tSqPVw/aSHXC566y9Bgz3sWxwH6eOvEHAG6ccicFrml9nj7NZSE7Zei5bdHJcebQolFDVLS0TBpRAYYLaGTfPiNa0WmEdTLmoqJktMJSXHzWFGyejOywo7jdBBUFX2GhEBJCSAgEp8lA6Y1E1PCUiAepX/kdmlwz+zxEXayJ5oQxyCiqmfjRu0UEo3DtIhNLSvo2Q3ql+lH2tG7CY07l1ml3YVV653UlCaamu7BbhmaoJDo5xofJKip0TSN24gSRnTsJ79pFrLy8x3rZ5TIml86bh23u3Ek9ubQvgiaFrCVLhJAQQkIgGAXq90Ooue917/4vHH6Z+NSLOTTtX/vcRNVVjkQqSXQ6V77VUMjze8y4bcaYcbPSOyoRUyM8eOQe2uMtzEldzpV5N/V5bJtFoTh96O1uopNjfJmsogI6Czb37CGyaxfhvXt7jENHkrAUFxtdIPPmnRXtpUJIIISEQDBqDJTeaNgPL94FJhvll9xPSO/b46El0UZtrAmAmGznng25tIXg8nkK58/o+0O9KniUR8t/A+h8qOhTFLv7nvybmWIjwzX0OTuik2NiMBkLNbvQEwmiR44Q2b2b8O7dxCsre6yXPR6jtmL+fGxz5qC4XP0caeIihARCSAgEo4amQsWmvtMbug5PfRoCtYSWfZHylOV9HkLXdY5Gq4hqhvPgu/6pPL1Nxm6BL15jwWbu+0P9zdpn2Nb8Jk6Tm9umfR27qffwLkmCaZkuLMOYGZFhz2BKypQhby8YW7RYDLXLp2KStJSeTKKlJSkqIvv29WwvlSQsJSXJFIhlypRJEa0QQgIhJASCUWWg7o1df4Odf0HPWcCh+V8nofb99nByO2jU7OWXG9JpCuhcNEvh4tl9RyUSWpyHj/6Mlmg90z3zubbgtj4jCQ6rwtT04T31iZkcE5OkT0Xr5DC/OhU9kSB6+LAhKnbtIl5d3WO97HYbtRVz5xrRign6+SSEBEJICASjSqAOmg73v+7JTwESzVf/jrpE/0VnJ6K1dKghkGS2dZTw6CYNi8mISjitfUcl6sIV/PXoL9HRuCb/Fsq8fc/cyfHa8TmHN6Sp1FuK1+Yd1j6CM0fSUbO1Fa29fcLP/uiLRHNzd7Ri//7e0YopU7DNm4d93jwsU6ciKRNjGqsQEgghIRCMKmq8s3ujnz/9l74B9XvRFt7Kwcyr0fp5w49oMY51toNG7Znct8FDbavOilKFqxb0XwD5bsNLbGx4Gats57bSu3Cbvb22URSJ4gwnlmG8EcuSTJmvDId5ZDbCgjOHnkgYA8VaWibFQLG+6IpWRPbs6bu2wunENns2trlzsc2dO66DxoSQQAgJgWDUqd0Nkba+1x16GTb+L3iLqF39M1qCsb63A2pjTbQk2tAVC3vCxTzyThxFhi9cbSHF0XdUQtVV/n7sV9SFKyh0TufDUz6D1IdvhcdupmCIE0K7sCgWZvlmYVYGHwYmmBjoqmqMPm9pQW1rQ0+og+80AUm0thLZs8cQFqd2ggDm/PxkGsRaWpo0izoTCCGBEBICwajTVm1M/uyLaAc8dgtoCeJrfsWhWHq/h0l0toOqukrEVcgDGyycaNJZXCyzdnH/H+Yt0QYePvJTEnqcS3KuZ2HaBX1uN9QJoSfjNDuZ6ZuJ3Ic4EUxsdE0zREWrH9Xfih5PjPcljQhdVYmVlxspkN27iR0/3iMCKFksWGfONGor5s7FlJ09pp1HQkgghIRAMOrEI1C1pf/1b3wfKjfBnA9TMfVGApH+39CbE23UxZpQLS4ORfL507o4smS4Xfpc/b857mh+hzdqn8Qkmfn4tK/is2b22mY4E0JPxmfzUeItGdY+gomFrutogUDn+PMW9Fh8vC9pxKiBAJF9+4xoxZ49aG09o4FKejr2OXOMNEhZGbKzd0fT6SCEBEJICARjQvV2iPVjJHR8Pbz1I3Bm0LH2fk40R/rejp7toOGUaTz8Lhyp05lXJHP9sv6jCbqu8cTx+zkRPES2vZCbir+AIvWuifC5LOQMwz67i1xXLnmuvGHvJ5iYqB1BVL/RVqqF+/99nOh0jUWP7N1LeM8eoocOQeIkoS7LhiFWp7AYjaJNISQQQkIgGBNaT4C/ou91iaiR3oiH4aofcVSeQiTeh/dEJwE1SEW0jrg9jRORDH7/mvH0+O9XmMlM6T+aEIj7efDwT4hqYVZmXMl5WVf12kaSYEq6E4dl+A6WU1Omkm7vPzUjmJxo4bARqWhtnXSumqeiRaNE33/fcNrcu5dEbW2P9ZLDgW3WLENYzJmDKSNj2OcQQgIhJASCMSEWNKIS/bH+Xjj6Gky/mtYF/0pN68BPgSeitXToUULe6Tz6boID1RpleTL/ct7ANQ7v+7fzfNXDSMh8tPgL5Dh6jwm3mhVKMoZun92FhMQM3wzclrNrdoKgm6QBVmvrpPSqOJVEU5MRrdi7l+j+/WjBnkLJlJWFrVNU2MrKkO2DR+uEkEAICYFgzKjaakQd+qJmB7z6n2B1o334QQ43R/s1qILu6aBRZy41YTf3vWJEJT59mZnc1IFrHJ6vfJj327bjtaTz8ZKvYlF622RneqxkuHsP/BoMk2yizFeGzTT8fQWTi662UrW11egAUfuPok0GdE0jVl5OZO9eInv3Ej1yBLST7kmWsZaUGG2mc+YYU0z7SIMIIYEQEgLBmNFyzOjg6AtNhcc/AeFWuOQ7NHjn0xiIDni42lgTjVKcqHsKT26Os7tCY1q2xC0XDNzqFlFDPHTkHgJxP/NSV3J53o29tpEkKMlwYTUPP19sU2yUpZWJAV/nED07QPzo8clbrNmFFg4TOXAgKSwS9fU91kt2O7aysqSwMGVlIUnSmAsJ8VclEJzLONL6FxKyAlMuhAPPwLE3SV21lKaOaL8+VgCZ5lTaI5XE1CirZ1vYWxnjSJ3OiUaNooz+oxI2xcFVeTfzj+O/ZXfrRqa6ZzHNM6fHNroONW3hYdtnA0TUCEf8R5ieOl20hZ4jSLKMKTUVU2qq0QESDCZTIJO1WFO223EsWoRj0SIAEo2NRjfI3r1EOtMg4e3bCW83UpZKWhq22bNR58wZ6LCnjYhICATnMroOle+B2o/pVNMheP7LoFjhXx6hOgj+0MBPdi2JNipljZgjm+e2xdl2TKMoXeITq82D1jh0DfayKy5uK70Lp6l3bUNuqp1Ux8jMfNLsaRSnFI9oX8HZgxYOd6dAOjomfV0FdKZBTpwwRMW+fUQPH052g3SoKsuOHBYRCYFAMAZIEjh8xoyNvkgrBU8utNdAxSZ8hRcOKiRSFQ8t8Vpi6FxYZmLn8RgnmnSONeiUZA0sJFZlreFEx0GaorW8Uv13Plj4qV7io6E9gttqwjRMbwmA5nAzVsUq2kLPcWS7Hdlux5yTgx6PG3bdXTNAJmldhSTLWKdOxTp1Kilr1xrdIIcOGbUVe/fCkX7m64wCIsYnEJzrONL6XydJMPUi49/lb2I3KzgsA9coSJJEtuLFFGsnxSGxpMTY/o29CQYLgJpkE9cU3IIiKRwL7GdXy7u9tkmoOvXtIw9N13TU0BRuGvH+grMLyWzGlJGBbfp07IsWYZ1eiikjA8k8uW3WZasV+9y5pH70o+T++Edje64xPbpAIJj42LxGPUR/TF1tfK/ZAWH/kKZyuhQH3oQRubhgpoJZgeoWnUO1gz/tZdhyuSDrWgDeqnuG5kh9r238oTgdA7htDsbxtuO0x9pHvL/g7KSrrsJaPBXHooXYZs/GnJeL7BCD4AZCCAmB4FxHlg0x0R8peUaKQ9fgxLt47CbMpsH9HPKwoagxXDaJ5aVdUQkVbQhlWYvSLqTINYOEHuf5qodJaL1FQ21buN/JpIOho3Ok9QjhRD+trwIBoLicWPLzsc+dg33BfCxTilC8KUjy2M3FmIwIISEQCIw6iYGY0jlU6/jbSEj4hlDsaJHNZHYGIM6boWA1QX2bzv6qwaMSkiRzVd5HsSlOGiPVbGh4odc2sYQ2aDvqQKi6yqHWQ8TVyd8WKBh7ZKsVc1YWthkzjBRI6TRMGelIZlFqKISEQCAA+2BCYpXxvX4fBJtIdViQh/BUlqOBSTLhsEisnGFEJdbtU1GHEElwmVO4Mu9fANjatI4THQd7bdMcjBKJj3zsdEyNcch/CFWbnKOrBeODpCiYfD6sxcXYFy7ENnvWOZ0CEUJCIBCAyQLWAWykXZmQUQbocGIDiiyRYh/8SUzRdXIkw1FyRamC3QLNAZ09FUOrjJ/mmcu81JUAvFj1V8KJnnbBug61/tNLT4TiIY61HRu0EFQg6AtJklBcrlNSIFNQvN5zJgUihIRAIDAYLL0x9ULj+/G3AUhz9rax7ov0RAy7yYXNLHF+Z1TizX0JEkOsb1id80FSLZkEE+28Uv1orw/8UEylJdiPD8YQ8Uf9VAT6GWAmEAwDIwWSiW3GSV0gmRlIlsndBTIQQkgIBAKDwdIbRecDEjQehI56rCYZl23wqIQpFiDbnAaSxLJpCk4r+EOws3xoUQmzbGFNwceRJYUjgT3sbt3Ya5uGQIT4afb/N4QaqAv246chEIwASVGMLpCpU3EsXIh9zmws+XkobhecRcGKs6ZKRNM0YrHTeyoRCADMZjNKH4NvznqsLjDZINGPR4PDB9lzoW43HH8H5nwYn8MypDZMd6yDFLOPNr2ZC8oUXtqp8taBBPOnyJiVwd9Rs+z5XJC1hrfqnuXN2qfJc0wl3ZaTXK+qOvVtEfJ9p5ejrgxUYpbNpNkH8NYQCEaI7HQiO52Y8/IMI6y2NsNhs70dPT7ydubx5qwQErFYjPLycjRtcjqSCSYeXq+X7OzsYY+tnvQ4fIaLZX9MucAQEuWGkHDbTFhMErHEwGkKc7iR9LR5BOJ+FhfrvHtQpT0M246prCgd2tvQ4rSLONFxiOMd7/N85cPcXPIlzHJ390hbOI43EsdlO70QcnlbOWbFjMci7PgFY4dkNmNKT8eUnm7MAunoSA4Z00Kh8b68YTHphYSu69TW1qIoCgUFBciyyNYIRo6u64RCIRoaGgDIyckZZI+zDHvqwEKi6DzY/FtoOQrt1eDJw+e0UNc2cBumrMWxJTpIt2XTEK7mwlkm/rktwTsHVBZNVbAMwZdCkmSuyr+Zhw7/hKZoLW/XPceluTf02KamLcI0i2lIHSX90eUxMdM3E4f53KzCF5xZJElCcbtR3G7Iz0eLxYxIhd8/KWy7J72QSCQShEIhcnNzcZyjrTeC0cVutwPQ0NBAZmbmuZXm6HK57K8d0pYCOQugZrsRlZh/E167hYZAbFBzKHOoAa93Om2xFhZOCbHhfWgNwntHVFbNHNpbkdPk5ur8j/HEifvZ2bKeItd0pnnmJtfHO70lslJsQ7zhvunymJiVNguLMrIBYQLBSJEtFuTMTMyZmUa0IhAwhEVbG1po4pmoTfrHd1U13vAsFvHHLhg9ukRpPH6OmRUN5nIJJ5lTvQOAIkt47YOnE8wxP7IWJ9OehyJLXDTLEA8bDqpE4kNvvZzinsnitNUAvFz9dwJxf4/1p+st0UVci3Oo9VCfrpoCwZlCkiQUjwdLYSH2uXOxL1xgtJemepFGMLhuLJgYVzEKnHO5bMGYck7/Pg00xAugaCXIJvCfgNYTAEOav4GuY4404jC5cZu9zCuSSXdLhGOw6fDwPvgvyFpDli2fiBrihcpH0PTu0O9oeEt0EU6EOeI/0uP4AsF4IlssRntp55Ax28wZmHOykR328bumcTuzYEzYv38/Dz30UPLnXbt28be//W3Uj3vqz8MlHo/z7LPPct999/Hee++d9vUJRhF7qjH1sz8sLshdZPy7Myox1FZQS+fUzQx7HibZxOrZRtpo40GVUGzoUQlFNrGm4FbMspWq0FE2Nb7SY30optJ6mt4SXQRiAY75hWGVYOIhyTJKSkrPaMXUKZh8qUimM5eSFUJiHDh48CC/+c1venWZPPbYYzz88MO9tr///vvZuXPnkI797rvv8p3vfCf587p16/if//mf07revo576s/D5fLLL+e73/0u+/bto6lJjHSeUJgshlgYiJPNqTo/YIcyf0NOhFFi7ZhlCz5rFrPyZbJSJKIJePfg8KISqdYMLs/9CAAbG16houNwj/X1o+At0UVrtJUT7SdG5VgCwVghWyyYMzOxlpYa0YpZZYZ1t+30aoYGPe+YHl3QJ+FwmM997nPs2LEjuSwWi/HJT36S22+/nfb27vHGR44c4bOf/SzNzc1DOvbs2bO57bbbRv2aR5Oamhreeust/v73v/Ob3/yGa665ZrwvSXAqg7lcFiwDxWJ0eLSWAyRbQQfDHG4EDCFgM9m5eI7x5LT5sEpHZHhP/WXexczxLgd0Xqh6hFAikFynqjoN7f14YoyAxnAjNR0DdLQIBBOIrk4QS34+loKCMT2XEBLjwPz58/H5fKxbty65bPPmzaSmpjJ37lzefvvt5PJ169ZhtVo577zzksu2b9/OAw88wDPPPENLS0uPY6ekpFBSUtLrnIFAgBdffJEHHniAI0eO9Fi3efNmnnrqqR7LDh06xJ/+9KfTus9jx47xl7/8hX/84x/U1RmOge+//z6/+c1vAHj88cf59a9/jd/vP63zCMaAwVwuzY6T0hsbkouHUithjjSDpiJLMpm2PGbkyOSmSsRVWP/+8IskL8n9ED5rFsFEOy9W/RX9pHoGfyg+JMOsoVLdUU1jqHHUjicQnA0IITEOSJLERRdd1ENIrFu3jtWrV/e5fMWKFdjtdhKJBDfddBMf+MAHePvtt7n//vuZOXNmD+HRV8qhsbGRJUuW8Pvf/56nnnqK2bNn96ibeO655/jlL3/ZY5/33nuPb37zmyO+xz/96U/Mnz+fp59+mqeffprVq1fz/PPP09bWRnm58QR7+PBh3n//faLRkY+CFowRVpcRcRiIru6NE+uT6Q2vffCpoJKuYY4aAthp9uC2eLlkjlFfseWoSnt4eFEJs2xlbcFtmCQzxzveZ0vTuh7ra9vCg7amDofj7cdpjbSO2vEEgsnOpPeROBVd1wmPQuvXSLCblSFX+19yySV8+9vfRlVVFEXhzTff5OabbyYjI4P//u//Tm731ltv8ZnPfAaAe++9l/3793Pw4MFke+IvfvELbr/99l5RhpNpaGjgRz/6EZ/85CcBuOeee/jiF7/I2rVrcbkGyYWPkF/84hf8z//8D1/4whcACAaDHDhwgCVLlvCtb32Lv/3tb/zgBz8gOzt7TM4vGAXsqdBR3//6gqUgmw1jqtbj4JuabAUdbIiWOdxI3J4BQKY9j2nZ7RSmJ6ho0nl7f4JrFw/PnTLdlsPFOdfzas2jbKh/gXxnCbmOKQDEEhpNHVEyPaOXJz7qP8p033ThfikQcBYKiXBcZdZ3Xh6Xc+//7ytxWIb2kl588cW0t7ezbds25s+fz8aNG/n973+Pz+dj9+7dtLa20tDQQE1NDZdccgkAf/3rXyksLOShhx5C13V0Xcfv93P06FHq6ur6/VB2uVzceuutyZ/vvPNOvv71r/Puu+9yxRVXnP6N90FaWhobNmzgYx/7GGlpaTidTpYsWTIm5xKMEQ7fwELC7IC8xVC5yYhK+KYCRnpjMCFhirUjqVF0xYpZtpJuy+aSOdX8+c0428s1zp+pk+ocXgvu3NTlVAYP837bdv5Z+SAfL/kqdpMTgKaOKCl2M1bz6FSyC/dLgaAbkdoYJ2bPnk1mZibr1q1j48aNpKWlMW3aNHw+H7NmzeLtt99m3bp1OBwOli1bBkBlZSUdHR3s3buXffv2sX//fpqbm7nzzjsHbE3Lzs7u4c7ocDhIS0ujsrJyzO7v/vvvp729nfz8fJYsWcL3vvc9AoHA4DsKJg4278BtoABTVhnfj29IpjeG3graXWuQas1keraD4iwJTYe39g+/rkGSJC7L/QiplgwCcT8vVv0lWS+h61DTNrqOgF3ul5H+hpwJBOcIZ11Ewm5W2P/fV47buYfD6tWrWbduHaFQiNWrVyeXd9VJ1NbWsmrVqqRrp8/nY+nSpdxzzz3DOs+p7ZWJRILW1tZkBENRlKRDaBeh0xwaM336dF588UVCoRBvvvkm3/jGN9i1axePP/74aR1XcAZRTGD1QKSt/20KlnWmN6oMg6rUKQBDmgpqDjcSdeUDGIWX9nwumX2IY/Vxdh3XWDVTI909vGcdq2Lj2oLb+NuxX1LecYD3mt5gecZlAISiKv5QDO8Q2lSHSlyLc7D1IGW+MmGlLThnOesiEpIk4bCYxuVruG6IF198MevXr+fVV1/tU0i8+eabXHzxxcnla9eu5aGHHurVCnrgwIEBz+P3+3nppZeSPz/66KNYrdZkpKOwsJDDhw/3sIM+efuR0HVNDoeDa665httuu429e/ee1jEF44A9deD1XekNSJpTAbhsgw/iktUoSqy71dlpclOWk8b0HBkdeHPfyGqdMu15XJJzPQAb6l+gMthdP1TfHiExygOQYmqMQ62HiGvnmJ26QNDJWReRmExccsklBINBNm7c2MMl8sILL2TPnj3oup6sjwD4r//6L9avX8+CBQv4+Mc/js1mY9OmTciyzD//+c9+z5OSksK//uu/csstt5BIJPjNb37Df/7nf5KRYRS7XX/99Xzzm99k7dq1XHLJJbz99tvs27fvtO7t05/+ND6fj+XLlxMMBrn//vv56le/elrHFIwDDp9RSDkQU8436iSOb4AFt4AkISENaSqoOdyIelLBYoYtl8vm+jlUG2FvpRGVyPYO/3lnTupyqkJH2e/fyvOVD/PxaV/FaXKTUHXqA1HyvKNrJxxOhDncepgZqTNQ5HNoyJtAwFkYkZhMTJ8+na985St85StfYdq0acnlGRkZ/Md//Aef//znWbx4cXK52+1mw4YN/PKXv0RVVXRd54tf/GIPEXGqIdWCBQu46667ePvtt5PC4fHHH+/R2pmamsrOnTuTBaD/9m//xmOPPcbtt9/e73EHM756++23+dSnPkUwGMRqtfL000/zjW98AzAKMe+8806cTudIXjbBmcTiBJN14G3yl/dMb3QylFbQLk+J5M+yhTnZuczON96a1o0wKmHUS3yYtE5/iRcqH07Oy/AHYwRjoz+IKxgPirkcgnMSSZ8EBvLt7e2kpKTQ1taGx9Oz3SoSiVBeXs7UqVOxjbENqODcQfxenUTTEQjUDrzNG983ohLzboKFtyQX17SFaQ0OHPIPp5QkW0HBaOHeUrOfe18IoAOfutRMvm9kzzzNkToeOfoLEnqMFRmXc36W4aJqNSuUZDjHZDib1+plmnfauT34TTChGOgzdDQQEQmBQDAwg9VJgJHegB7mVDBEp8twT6dISZKYmzWFeUWdUYm9I48epNmyuSLvRgA2Nb7K0XYjZReNqzSN0lCvU/FH/ZS3l4/JsQWCiYgQEgKBYGDsXpAGeavoSm+09Uxv2EwKTuvApVhdnhI9Tmlycu38dGQJjtbrHG8cebqgzLuYBT6jTfXFqr/gjxldTE2BKLHE2JjXNYebxZAvwTmDEBICgWBgZAVsg4RDLQ7I65y9cWJDj1VDi0r0ngBbllnIkmJDhLyxN3FaY7xXZ3+AHHsRUS3MsxV/Jq7F0DSdulEc6nUqDaEGKgNj59UiEEwUhJAQCASDM5T0RtFJ5lQn4bYpmAdpBbWEew/CUiQT1y8sQJGhoknnaP3IhYQim1hb+AnsipPGSDWv1zyBrusEwgnawmOT4gCoC9aJiaGCsx4hJAQCweAMNg0UOmdvmKCtAvzdT+ISEr5BTKBkNYIS6+18WpSaxXmlRrHr6UYl3GYvawpuRUJin/899rRuAqCuLYo6ikO9TqW6o5q6YN2YHV8gGG+EkBAIBINjcYB5EO8FiwtyFhj/PiW94XVYBnXbNkd6pzcAblw0DYsJalp13q85vdbKItf0ZOfGG7VPUBs6QULVaAyMrc11ZaBSjB8XnLUIISEQCIaGzTv4NkWd3RsV7/ZYbJIlUhwDT/Q0R5p7dHx0ke5ycfHMFADW7VXRTrNjfVn6JUxzz0XVVZ6t+BPBRICWYIxwbGynBh9vP05TH7UgAsFkRwgJgUAwNIZSJ1Gw3OjwaDkG7T1rAwZLb0haAlO0tc91NywswWaGhnadvZWnF5WQJJmr8m/GZ82kI9HGcxV/JqGp1LaFTyt1MhTK28ppDjcPvqFAMIkQQkIgEAwNu3fwaaA2D2TPN/59omdUwm5WcFgHto/uL73htlm4Zm4mYPhKnG5Ng1Wx8YHCO7DIVqpDx3ir9hnCMXVQ86zR4FjbMVojfQsmgWAyIoTEONHS0kJFRUWf6+LxONXV1cMeux2Px6msrCQSGXq+Nx6PU1VV1WNgVxeBQIAjR470+poEZqiCsUBWjGmgg1F0nvH9lDoJGDwqYYr6QevbgGrtvCJcNpnWIOw4fvo21D5rJlfnGy6cO1reYV/rezR0RIiP8lCvvjjqP4o/4h/z8wgEZ4KzdmjXxqNnNny4siRtWNv//Oc/5+9//ztHjnRPJqyqquKuu+7i2WefxePxEAqF8Hq9fOELX+Dzn/88ZnP/Oeb77ruPb37zm5hMJsLhMF/+8pf5/ve/3+/2ra2t3HnnnTz11FN4vV4ikQjf+973+NznPpfc5oknnuBTn/oUU6ZM6bHv7t27cTgcw7pfwVmCPXXgseIAhStg82+h+TB0NIArM7nKYzdhapdIqH2LUUnXMEdaiDsye62zmRU+tCCPhzdV8tb+BPOLZMzK6dlQT/PMYWXGlWxsfJlXa/5Bmi0bl6WEfN/Y/n7r6BzxH6E0tZQUa8qYnksgGGtERGKCUF1dzbJlywgEAuzbt4+amhr8fj/r16+ntraWxsb+K77feOMNvvCFLyRHjL/++uv8/Oc/509/+lO/+9x5553s2rWLY8eOUVtby2uvvcY3v/lNnn/++R7bZWdn94pICBFxDjOUOgl7KmTOMv59SnqjayroQJgj/f+uXz4rh1SniUAYth4dneLIlZlXUOyehaoneObEn6hpb6YjMvYpDh2dw62HaYsOIswEggnOsIXEQw89xPTp07FarcyZM4fnnntuyPv+6le/QpIkPvzhDw/3tGc9XdM4//73v1NUVJRcnp+fzz333ENubm6/+/7ud7/jggsu4AMf+AAAK1eu5IYbbuC3v/1tv/s8//zz/Ou//is5OTkALF68mDVr1vDrX/+617ZNTU00N4sCMQFgdYEyuFNlsnujj/RG6iCtoKZYoJdldhdmReYjiwoBeOeASjR++mk2SZK5Jv+WzuJLP89U/InK1g60MfSW6EKICcHZwLCExEsvvcQdd9zBf/zHf1BXV8ftt9/O9ddfz7Zt2wbdd+fOnfzsZz9j2bJlI77YsxVN03j66af52Mc+NqLR2lu2bGHlypU9lq1atYqdO3eiqn0/tTkcDvx+f49lfr+f9957r8ey6upqSktLKSwspKCggL/+9a/Dvj7BWcZQohKFnb+PjQcg2LOA0iRLpNgHaQUdoE3ywukZZHushGKw6fDoRCWsip0PFN6BVbZTGz7OCxWPjrm3RBdCTAgmO8MSEj/96U9Zu3Ytt956K6mpqXz5y19mwYIF3HvvvQPu19HRwU033cRvf/tbMjIyBtz2XKSlpYVAIEBJScmI9m9qaiItrWeNRnp6OvF4nLa2vt+c7rjjDn75y1/yl7/8hd27d/PjH/+Yt99+m5aWlqT4yM/P57XXXqOlpYWOjg6+9rWvccstt/D666+P6DoFZwlDERLOdMgoM/5dsbHX6sHSG5Z+ujcAFFnixiUFALx7UCUUHZ3Igc+aybUnOV++cuJVovGx9ZboQogJwWRmyEJC13U2bdrE6tWreyy/9NJLeffdd/veqZM777yTyy67jGuuuWZEF3m2YzIZNa/hcHjA7aLRaI9ahdZWo4VMluVeXRexmDE/QFH6brf77ne/y/e//30eeOABbr75Zo4dO8Z//ud/YjKZkvtcdtllXHrppUiShCRJfOELX+D888/n//7v/07rfgWTnKG0gcKA6Q27WcFh6b8VVE6E+7TM7mJ5cRpFPgfRBGw4OHof9lPcM7ko+zoA3qx9hvWVO0bt2IMhxIRgsjJkIREIBAgGg70iCpmZmdTV9e8j/8gjj7BlyxbuueeeIV9UNBqlvb29x9fZjNfrJT8/nz179gy43eHDh7nqqquSX3/7298AKCgo6PV/UFdXh9vtxuPpu11PURTuvPNO3njjDfbu3cv999/PsWPHmDFjxoDXMGXKFE6cEOORz2kUs2GHPRhdbaAN+yHc2zdh8KLL/utyZEnixqVGVGLzEZX28OjVMyxKu4jZ3qXo6Dx+9E8caj5zEzyFmBBMRk67a0PXdaR+nk7Ky8v50pe+xF/+8hfs9kF8+k/ihz/8ISkpKcmvgoKC073MCc8dd9zBX//6V44dO9Zrna7rqKrKnDlzekQk/v3f/x2A1atX88orr/TY54UXXuCiiy5K/t+0t7f38IA4tXbC7/fz5JNP8tGPfjS5LJHo2c+fSCTYvHkz06ZNO/0bFkxuhpLecGVCWinoGlRs6rXaYzdhGqB909SPZXYXCwu8TM9ykVDh7f19e0+MBEmSuCz3I8mx47/f82vaImfuYaZLTAifCcFkYchCwu1243Q6e7UhNjY2kpWV1ec+u3btorm5mUWLFiXD488//zxPPPEEkiRx/PjxPvf75je/SVtbW/KrsvLMPRGMF9/61re48MILueiii/jDH/7Anj172LRpE3/84x9ZtGgRtbW1/e77la98herqav793/+dLVu2cPfdd/PWW2/x7W9/O7nNY489RmlpKcFgEIAnn3ySr371q2zdupU33niDq6++muLiYr7yla8k97nhhhv49a9/zdatW3n77be54YYbqK2t5Wtf+9rYvRCCycFQhAScZE7VO/05WCuorMUxxfp/MpckiY8uNTo4tpdrNHeMXlTCJJv5QOHtuM2ptEQb+dX2+0j0Y5Q1FnT5TAgxIZgMDFlISJLEihUrWLduXY/lb7zxBuedd16f+3zwgx9E1/UeX2vWrOGGG25A1/VeRkddWK1WPB5Pj6+zjbS0tB5tnhaLhRdffJHvfe97PPvss3z0ox/lK1/5Clu3buXhhx8mPz+/32NNnTqVt956i9raWm677TY2bdrEyy+/zIoVK5LbpKSkUFJSgiwb/+U33HADRUVFfO5zn+Ob3/wmV155JevWrcNmsyX3+eMf/0hFRQV33nkn3/jGN8jNzWXfvn3Mnj17DF4RwaTC6jZSHIPRJSTqdkO0d82D1z5IK+gA6Q2AmTkeFhR40XR4c9/oFkY6zR4+VPQpzLKV8sAh/rT3oTPq6qqjc9h/mJZIyxk7p0AwEiR9GH8ZL730EmvXruWBBx5g7dq1/PnPf+auu+5i06ZNLF68GIC7776be++9t1drYRfXXnstNpuNxx9/fMgX2d7eTkpKCm1tbb1ERSQSoby8nKlTp/b4EBQITgfxezUEGt6H4BBGYz/7OWg9Dud/CaZd1mt1tT+EP9T3074uyQQylxiDwPqhvCnIt54y6os+e7mZbO/o+uwdC+zj6RMPoKNz4/QbuWrqVaN6/KEwNWUq6fb0M35ewdnBQJ+ho8Gw/uKuuuoqHnjgAb73ve+RnZ3NAw88wBNPPJEUEQKB4BxiqOmNwv5nbwD4nNZ+d5V0DdMgT+RT051Ji/o39w3tkoZDsXs2F2UbZm//OPQPdjbsHP2TDEJ5WzmNoSGINoFgHBhWRGK8EBEJwZlG/F4NgUQMKjcPvl3rcSMqIZvgX/4Klt4W6+VNQUKxvlMTcWsq4dSBu4lq28J89R+70HS4/WILhemnN4PjVHRd57Waf7C7dSNWxco3ln2DIk/R4DuOMoXuQrKcfdekCQT9MaEiEgKBQJDEZOlTFPTCWwSePGOqZ9WWPjcZqOjSHPMjaQPPvshJsXPxDGPQ11v7pFGvZZAkiUtyb6DIOZ2oGuXebffSHD7ztvEVgQpqO/ovvBYIxgMhJAQCwcgZSnpDkrqLLiv6Tm8M2Aqq64OmNwCuX5SPWZE42hDlRMMQ5oEME0VSWFv4CdKtObTF2rh3+72E4qFRP89gVHVUURWoOuPnFQj6QwgJgUAwcmzeoW3X5XJZvQ0SvWdYDNYKOpA5VRc+p4WrZmcD8NqeBLo+uukNMGZyfKjoX3GZUqjuqOY3O39zRttCu6gN1nKiXRjDCSYGQkgIBIKRY/MO2FGRxFcCzkxIRKF6e5+bDDQV1BRr73ci6MlcNz8Pp0WhqjXC8Vr34Nc1AjyWVD5U9K9YZCsHWg7w4L4Hz2hbaBcNoQaO+Y+Ny7kFgpMRQkIgEIwcWQZbyuDbSRIUdU4Ereh7Ns9gU0HNAwzy6sJlM3Hd/FwAnt/VhkUa/jTdoZBpz+PagtuQJZkNNRt49uizY3KewWiONHPEfwRN18bl/AIBCCEhEAhOF7t3aNt1pTcq3wO17+LJ001vAFw1Jwef00JTR4y9J+zIUv/DwU6Hqe4yrsz/CADPHH2GtyrfGpPzDIY/6udQ6yFU7cxMKhUITkUICYFAcHoM1U8iYybYfRAPQe3Ovg81wFRQJR5CHkJxo8Ukc8Miwwn22Z31uJTsoV3fCJiVsoJL868G4KH9D7Gj4cxNCz2ZQCzA+63vE+9HoAkEY4kQEoJJzR//+EdWrlxJaWkpr7322nhfzrmJxQmm/k2lkkgyFHamN/qYvdHFaEQlLpqeQa7XRkc0wdsHorjMQ0i/jJAF3ss5P3cVOjq/2/U7jrQeGbNzDUQoHuJAywGiQ6glEQhGEyEkxhFN0/jrX//Khz70IebNm8eyZcv46Ec/yhNPPIGmnR05z+985zt8/vOfH5NjHzhwgM9+9rN861vf4sUXX2TlypVjch7BEBhy90ZnG2jlZugnFO+xmzCb+q66HKqQUGSJm5YYA71e3FuLVc/GJA9hNsiIkFidfQPzM+YT1+L8cvsvqe6oHqNzDUxUjXKg+cC4tKUKzl2EkBgnYrEYa9as4a677uLyyy/nwQcf5He/+x3XX389jz32GHffffd4X+Ko0NDQMODk0tNhz549+Hw+1q5dy7Rp03A6x6awTjAEhpreyJoDVg9E26F+T5+bSEikOvqOSshqBCXWe/hXXyyZkkpppotoQuOZnXVk2wuHdo0jIBKDm0rvoCSlhGAiyC+2/WLchm3FtTjvt7xPe+zMjT4XnNuYxvsCzlV+8IMfsG7dOvbt20dJSUly+aJFi/jIRz5CPN4z1/noo49y//338//bO+/4pur1j7+zV/fepaXssvcQURBFBBXEgbjlqlznvYIoXtdV8TK81/nDvUVAFBCcDGWK7NGWlpZOSnebriRNk/P7IxAIXUmbTs779cqrzcl35TTNec7zPN/Pk5+fT48ePXjmmWcYMWKE/fWnnnoKg8FAYGAgW7ZsQa/XM2vWLP7xj3/wn//8hx9++AGlUsnf/vY37r77bod+NTU1hIaGsmnTJioqKrjllltYsGABkgv24v3xxx+8/vrrpKWlERkZydy5c5kxY0adccLCwlizZg1eXl5MnTqVlStXYrFYiIuLA2D58uUOpcrPER0dzZYtW+ocP3XqFC+99BJHjhzB39+f2bNnc++99/LKK6/w1ltvUVJSQlxcHCqVioSEVii0IOIcGh/bzoymtiJKZRA1Ck7+agtvhA6qt5mv1pYsabXWHU9hLMaibHprp0Qi4dYRUfx7YyJbTxRwbXwoPqpAykytU7OirMrKvIEPs/TAf8irymP5/uUsHLEQTyfW6m4sgoWUkhRifWLxU/u1+fwilxZdz5AQBFsyV3ug0NJoTeQL+Oijj7j99tsdjAiHoRTn3bCrVq3i7rvvZvny5YwcOZKvv/6a8ePHc/ToUXr27AlAfn4+X3zxBQ899BCvv/46iYmJ3H333Xz66adcd911vP/++xw6dIj77ruP+Ph4hg0bZu/35Zdfcv3117NkyRIyMzOZN28eVquVp59+GoBNmzZx55138tprrzFy5Eh7SKG6upo5c+Y4jHPHHXfw7rvvEhQUhIeHB/v27aO0tJS33noLgODgYH7++Wf7e6uurmbatGl4e9cfw546dSojRozgo48+orKykq+++org4GAeeOAB1Go1r732Gj///LO9PLpIOyFT2HIlTJVNt40ac96QGPGAzbi4CNtWUDmlVXWTB+XGYvCMdup/rW+oF4MjfTiUXcY3+7J5bFIchtpKTBaDU2/LFWotAtVGBf8c+k9e/etVzlSd4b8H/sv84fPRyDVun68pBATSytKo8awhRNd6CaciIl3PkDBXw6th7TP3M7m2L9MmKCsrIycnh/j4eKeGfe6553j88ceZN28eAEOHDuWvv/7ilVde4bPPPrO369OnD2+99RYSiYQhQ4bw8ccfU15ezuuvvw7YvB3vvfcev/76q92QAPD19eWrr75CrVYzcuRIysrKWLBgAU8++SQKhYKnnnqK559/nrlz5wIwYMAACgoKWLZsmd2QAIiKiuLDDz9EJjt/YfDy8qKmpsbukQDw9Dx/h3bzzTejVqv5+OOP67xvo9HIiRMn+PLLLxkyZAgA48ePx2KxIJPJCA4ORiaTOYwt0o5ofJ0zJEIHgkIHxjIoTLKFO+rBT6es15CQWs3IasqxqJxLoLxtRBSHc8r4K6OE1IIqogKiyKo8idAK2gtl1WaiNd48OfRJFv+1mIzyDN469BZPDHkChay1cjQaJ7simxpLDVFerRfaEbm0EW/j2oHaWpukrkbjeJcyffp04uLiiIuLY/r06YDtjj0lJYUrrrjCoe3EiRM5cuSIw7H+/fs7hCOCgoLo37+/Q5ugoCAKCx1du8OHD3eocHn55Zej1+vJyMigtLSUhIQEli1bRu/evenVqxc9e/Zk8eLFpKSkOIwzePBgByOiKV5++WV+/fVX1q9fj4+PT53X1Wo1kydP5vbbb+e///0vhw8fBnBpDpE2xNmES5kCIs+G5RrZvaGWy9Cp6r/XcTbpEiDST8uEnraCXl/tzUQl1RCgDnW6v6uc0RsI1obwj6H/QC1Tc6LkBCuOrmhXnYf86nzSytJE4SqRVqHreSQUWptnoL3mdgI/Pz88PT1JS0tzOP7OO+9gMpl45ZVXOHTIth/daLTVJVCpHLfXaTQaqqsdQzj1XWDrO3axpO7FZbLPPTcYDPb5X375ZcaMGePQTnKRa/liw6gxNmzYwIsvvsj69evp3bt3g+02btzImjVr+OWXX1i6dCne3t6sXbuWvn37Oj2XSBuh9raFKZy5YEaPhVPbIGsPDJ/bYJgiwENJlaluLQuFqRij0M05eW7gpqER7EotIiW/kn0ZpYyICaK6toIqs/sTEmtqrRRWmOjm3Y1HhzzK6wde51DBIT5J+IR74+9F6uSa3U2JsYQaSw1xvnEoWm0Hi8ilSNfzSEgktvBCezyczI+QSqVMnz6dr7/+2sEYiIyMJC4uziFfwM/PDz8/P44dc8xwP3LkCD169HDLKbs4SfHYsWNIpVJiYmIIDg7G19eX9PR0u7fk3KOh/I4LkclkdQyXxMRE5syZwyuvvMK1117baH+FQsHs2bP57LPPyMrKIiwsjMWLF7v+JkVaH4nEea9E2GCQq6GqEIpSGmzmoZKjUtT9mpJYLchNZU4vzU+nZOoAmxdi5V9Z1FqthGiiWm1LaHGVCUONhd5+vXlo4ENIJVJ25+7mq6Sv2rU2RqW5kqTiJIz1FE4TEWkuXc+Q6CQsXrwYi8XC9OnTOXHihP14ZWUl2dnZDm3nzZvHsmXLOHXqFABbtmzh22+/5e9//7tb1pKSksLbb78NQHFxMc8//zyzZ8/G09MTqVTKE088wfLly/ntt98Am0djz549LF26tMmxQ0NDSU9Pt+tilJWVcf311zNt2jQWLFjQaN/c3FyeffZZiottbmyTyURlZWW9YRCRDoKzctlyFUQMt/3eQO2NczQkUOVKeANg2oAwvNRy8sqNbD1RgFyqIEQb7dIYziIIthCHIAgMDhrMffH3IUHCtuxtrE5Z3a7GhMliIqkkiQont9GKiDSFaEi0E5GRkezbt4/g4GCGDRuGl5cXERERREZGYjabefPNN+1tFy1axJVXXkmfPn0ICgrixhtv5N///neTd/POcuWVV7J27VoCAgIICQnBw8PDnqB5bv758+dz88034+fnh4+PDwsWLGDcuHFNjn3HHXdQXl5OUFAQcXFxfPzxx6SmprJjxw4H78bEiRPr9A0MDESj0dC7d2/Cw8MJCgoiICCAF1980S3vW6QVcFZPAs7X3sjY1ei2UW+NApm0rrdPbip1LoxybmlKGTOH2qSz1x7IwVBjQSf3xE8d7PyaXcBQY6GkqgaA0WGjubPvnQD8kvEL69PWt8qczlJrrSW5JJlig2vGmIhIfUiETlCDtry8HG9vb/R6PV5eXg6vGY1G0tPTiYmJqRPr7yzU1taSn5+PSqUiICCgwXZVVVUUFxcTGhrqsD0UbMJPgiAQHHz+SzE/Px+pVEpgYKD92JkzZ1AoFPZ57r77bmpra/nyyy+pqqqisrLSYYwLsVgsnDlzBn9//zr5EPXNfw5BECgsLKS8vBxfX19KS0vrtFEqlURFNZxVfubMGXx8fBzmrayspKioiG7dujXYr7l0hc9Vu5GzH8xObK80G2DV7WCpgWlvgl9sg03zy00UVdaVfjZ4d8esCaynR/3UWq0s+PYoZ/RGbhwczs3DIhEEgayqkxhrq5wex1mkUgndA3Uo5bZcpd8yf2PliZUAzOwxk6mxU90+p6uEeYQR7hHe3ssQaUUau4a6g66XbNkJkcvlhIc3/Y+s0+kaVG8MCgqqc6y+i3poaMPZ6o2ND7Z8h4iICKfnP4dEIiEoKMjext/fv8G2DVHfuj08PPDw8HB5LJFWRu3jnCGh0EDYEMj+EzJ3NWpI+OoUFFeZ6jguFMZilwwJuVTKbcOjeH1zCpuOnmFi7yD8PVSEaaPJqEjGKrh3Z4XVKpBXbiTKz/Z/dVX0VZgtZr49+S1rT65FKVNyVfRVbp3TVXIrczHWGonxjmm3RFCRzo34qREREXEvzQlvNLINFEApk+KlrnvfI6/RI7G6VvFyWDdfegV7UmOxsmq/LR9JIVURom0dnYUKQy16Q439+bWx1zK9u21798oTK9mc2f7F5kqMJZwoEauHijQP0ZC4xFmyZAnLly9v72WIdCXU3k7vYCJyOEjloM+GsuxGm9abdCkIyF2saSGRSLhjtC3JcsfJIk4V2kS0PBU++Kqc9264Qp7eSK3lvIbD9d2vZ2qMLazx9YmvO4QxUWWuIqE4QSz4JeIyoiFxiRMUFNRgToSISLOQyUHlZH0Jpcf5ehuZuxptqlXK0Srr6qK4unsDoHugB+PibHlCX+7NtO+iCFSHo5a7v/hbrUUgv/x8jodEImFGjxlcG2NLmP76xNdsyaxba6atMVvNJJUkiUmYIi4hGhIiIiLux6Xwxlmhs8ydTTatzyshN1cgsdRNxGyKW4dHopBJSDpTwf5MWwKwRCIhTNsNmdT96WNl1TVUGs+HDiQSCTN7zGRKzBQAvjrxFVuy2t+YsApWTulPkVOR095LEekkiIaEiIiI+3FWmAogcpRNobI0A8pPN9rUSyNHIb8obCIIKJpRstvfQ8XU/ra6PF/vzbKHHhRSJaGa1tGXyNUbsVxQ0VQikXBTj5uY0u2sMZH0Fb9l/tYqc7vKmaozpJSmUGutqywqInIhoiEhIiLiflSetpoazqD2shXygibDGxIk+NfjlWhOeANg+sAwvDUK8sqN/JaUbz+uU3jhr3Z/xUxzrZXCCkdVSYlEwk09zxsTK0+s5Kf0n9w+d3PQm/QkFSdhqHV/tVSRroNoSIiIiLgficSWdOksF4pTNYGPVllHoEpmrkTaDNlnjVLGzcMiAVh7MIdK4/m7b39VCFq5k7keLlBSVUN1jeNd/jlj4rrY6wBYk7KGDWkb2lUB8xxGi5Gk4iRKjXX1X0REQDQkREREWgtX8iSiRtvCGyVpUJHXaFOZRIKPtq63Q95Mr8SEnoFE+mmpMllYe+h8XoBEIiFU2w2FtH6J7uYiCJBbZsRqdTQSziVg3hh3IwDrUtfxXep3HcKYsAgWUstSyanI6RDrEelYiIaEiIhI6+CKIaH2hpCzJe+dTLq8eIepwljkwuLOI5VKuGOULSfit4R8Tpeed+PLpXLCdDFI3CzUZDJb6lXqBJjWfRq39LoFgE2nNrEqeVWHuXifqTrDybKTYt6EiAOismU7sXHjRg4cOMDzzz/vcDwnJ4cNGzaQnp6Ot7c38fHxXHfddcjljf+pDAYDn3/+OSkpKURFRXHHHXfg5+fXaJ/MzEzWrl1Lbm4uvXr1Ys6cOQ4S1Hv37uWLL76o0+/1119HqXTvXZpIF0SuAoUWnNUliB4HZ47YwhvxNzXa9JxAld5w/oImqzUgNVdjVWhdXmr/cG+GRfuyP7OUz//MYOE1vZGctVTUMi0hmkjOVGe6PG5jFFWa8NIoUCvqbmm9utvVyKVyvkr6il8zf8VYa+TOfnd2COVJvUlPYnEicT5xaJtxrkW6Hu3/qWwt0ne07cNF/vzzzzoX6eXLl9OjRw82b95MYGAgZrOZL7/8kvj4eHsFzPqoqqpizJgxrFixAh8fH9auXcugQYM4c+ZMg31++eUX+vTpw4EDBwgMDOTrr79m5MiRlJeX29skJSXx1Vdf0bt3b4eHxFmxIRERZ6uBwvnwRvFJqMxvsrm/h6rOseYmXQLcPjIamVTC0Rw9h7LLHF7zUvrh42axKluIw9Cgt2Fi1ETuib8HCRK2n97OiiMrMLuo4tlamCwmEosTKawubO+liHQARI9EB+Hbb7/lySef5LvvvuPGG290eC0jIwOVqu6X5jnefvttTp8+zcmTJ/H29uapp55i4MCB/Pvf/+bdd9+tt88///lPZs+ezYcffgjA/PnzGTRoEMuWLeOll16yt9PpdDz88MNueIcilyQaXyjPdbKtDwTHQ97Rs16JGY03V8jQKmVU15yvj6EwFmPyjGzWUkO81VwbH8IPR8/wxZ5MBoR7I5edv9cKUodTYzFQXVvZrPHrw1BjoaiqhsB6jCKAy8IvQyPT8P7R99mfvx/DQQMPD3oYlbzh74O2QkAgozyDCnMF3by6dQhviUj7IP7lOwivvvoqkydPrmNEAHTr1q3R4lTr16/nuuuuw9vbliWvVCq5+eabWb++4VLFaWlpDBkyxP5cKpUycOBAvvvuO4d2VVVVPPvss/zrX/9i7dq1WK3Wi4cSEWkYtbfNy+As9tobTe/egLpeCanFiKymwvn5LuKGweH27aA/JzgmfZ5LvpS7OfmysNyIydxwsbBhIcN4bMhjKGVKEooTWH5gOVVm91cqbS7FhmISixPFLaKXMKIh0QEwGAwcPnyY8ePHN6v/yZMniYmJcTgWGxtLbm4u1dX1x6fj4+P57bfzwjfV1dXs2rWLlJQUh3bR0dHIZDJqa2t55JFHGDt2LAaD+IUh4iRSmU0nwlmixwASKEqGyoImm3uqZagUjl9jLQlvaJVybh1u82h8d/A0eoNjKEEuVRCui0EqqZvX0FyaCnEA9Avox5PDnkQr15Jalsp//vpPh9qOaag1kFicSJGheQmvIp0b0ZDoAJSXlyMIQrNrXhgMBjw9Hfe7n6s535Ah8dZbb7Fz505GjBjBvffey6BBg4iKisJsNmOx2O6OJk+ezMGDB3nxxRdZvHgxBw8eJDk5mWXLljVrnSKXKK7s3tD4QnA/2+9NVAQFm0DVxbLZcmMxdeqNu8D4noHEBOgwmC2s3l+3kJhapnV7pdDqGgslVTWNtonziWPhiIV4K73Jqczh1b2vklvpZNioDbAKVtL16aTr07FY3VuOXaRjIxoSHQBfX1/kcjk5OY1r22dlZfHwww/bH7/88gsAHh4elJWVObQtLS1FIpE0GBIZNWoUqampPPvss4wZM4bvvvuOSZMm4ePjg0xmu9sKCwtDKj3/EQkJCWHSpEns3Nn09jwRETuuyGXDBeEN5z5nPhoFctn5BGCp1YzM3PzwhlQi4a7R3QDYdqKA9KK6YQRPhQ8B6tBmz1EfBRUmamobvwBHeEawaNQigrXBFBuLWbx3MamlqW5dR0spMhSRVJIkVhG9hBANiQ6AUqlk7Nix/Pjjj42202g0Drsn/P39AejXrx9JSUkObZOSkoiNjUWtVjc4nre3N9OnT+f+++8nPj6ebdu2MXbs2EbXYDKZqK0V95CLuIDKA2Qu5BWcC28UnoCqpl3lUkldr4SihS72XiGejOnujwB8sisdaz0eDn91CJ5KF7wtTWC1CpwuazpsGKAJ4JmRzxDrHUtVbRVL9y/lUMEht63DHRhqDSSVJIm7Oi4RREOig/Diiy9y8OBBli5dWue1rVu3UlpaSmBgoINHYtiwYQDccsst/Pjjj2Rm2va5l5SUsHLlSm655Rb7GHv27OHhhx+mpsbmPk1KSqKk5Hyho02bNrFt2zaefPJJ+7HffvvNIW579OhRfv31V66++mr3vnmRro8r4Q2tPwT1sf3uZNKlr1aJ9ALZbIWppEXhDbBtB1UrpJwsqGTHyfoviCGaKNRy92kpVJssFDcgVHUhnkpP5g+bz4DAAZitZt4+9Dbbsre5bR3uwCpYySjPILU0tcNsWxVpHURDooNw+eWXs2bNGpYvX06/fv247777uPXWW4mPj2fx4sX2cEN93HvvvVx55ZWMGjWK22+/nWHDhhEREcHChQvtbRISEnjnnXfshoTBYGD8+PHMmTOH6dOnc8stt/DOO+8wYcIEe59t27bRr18/5syZw4wZMxg1ahSzZs3i8ccfb63TINJVccWQAOg2zvYzY7tTzeVSCb6a87LZEmst8poy1+a8CD+dkhmDIwD4+q9sqkx1PXFSiZRwbaxbZbSdCXEAqOQqHhn0COPCxyEg8EXiF6xOXo1V6Fg7q0pNpSQUJVBeU950Y5FOiUToKNqrjVBeXo63tzd6vd6eRHgOo9FIeno6MTExjbrxOxp79+7l5MmTzJkzx+G4yWRi586ddmXL/v3707t37ybHEwSB7du3k5ycTFRUFJMmTXJQw0xMTGTr1q088MADKBS2L9ySkhJ+/fVXBEHgiiuuICSkbrXDzMxMdu/ejUwmY+DAgfTq1auF77xz0Fk/Vx0Wixmy9zrvJaguhjV3AwLM/Bg8gprsUmOxklpQaZ/CrPbH4NOj2UsGqLVYeeq7o+SWGbmmXwh3jelWbzuTxUBW5UmsgnuSDLVKGd0CdE6JvwmCwMZTG/k+9XsAhgYPZW7/uShdCSe1EaG6UMI9wkVRuzamsWuoOxANCRGRehA/V61A7mEwuZAE+fNCyD8OQ++B+JlOdckprbbLZgsSKRWBQ21bUFvA0ZwyFv90AokEFt/Yn2h/Xb3tqmoryKlKa3FI5Rwh3up61TsbYk/uHj45/gm1Qi2x3rE8OvhRvFTuv2i0FK1CS6x3LBq5punGIm6htQ0JMbQhIiLSNrgilw3Q7ayuSobzEvQXXnglghW5qeVaCwMifBgR44cgwKe7MxrUe9DJPQnRNE9Vsz7yy41OhTjOMTpsNP8c9k90Ch2n9Kd4ee/LnK487bb1uItqczUJRQnkVTVe5VWk8yAaEiIiIm2Dq3kS0WPO1t5IdVpmW6OQoVOdD+m1RJzqQu4YFY1SJuVEXgW70xoe01vpj7+6boiwOQgCnC5tXKjqYnr59WLRyEUEaYIoMhTxyp+vcLjgsFvW404EBLIrskkuSabG0rh+hkjHRzQkRERE2gaVF0hdKO+j8YGQAbbfM5zXLgnwOJ8bIK/RgxtKXgd4qLhhcDgAX/6ZSXVNw2MGqEPxUjZeeddZqmssFDchVHUxIboQFo1aRC/fXhgtRt469BY/pf/UYUqRX0h5TTnHi46LipidHNGQEBERaRskkmaENy6z/XRy9waAh0qO5mxpbolgRWEsaaKHc1w3IJQQLzVlBjOr9zcuHheiiUKncE8suqDciLGRWhz14an05J/D/snlEZcjILAmZQ0fH/+4Q27DtAgW0vXpnCw9idnS8dYn0jSiISEiItJ2NCu8IYPSDNDXlatuCP8LvBLuCm8oZFLuHWerafNrYh5phQ1XAZVIJIRpu6GW15+Y6QqCAKebqMVRH3KpnDv73sntvW9HKpGyK3cXS/5a0qFqdFxImamM48XHKTa45+8l0naIhoSIiEjb4apctsoTwgbZfk93PunSSyO3F/OSm8uRuCkO3z/cm7Hd/REE+GhnOlZrwxd3qURGuDYWpazlu36MNRYKK5oWqroYiUTCxOiJPDHkCbRyLWn6NF7a8xInS0+2eE2tQa21llP6UzYRK9E70WkQDQkREZG2Q6EGhYtKkBfu3nDyrlyC5LxXQhDc5pUAmDMqGq1SRnpRFb8m5jfaVi6VE6GLdUvp8aJKU6O5GY3RL6Af/xr1L8I9wtHX6Fmybwnbsrd1yLwJsIlYHSs6JuZOdBJEQ0JERKRtcTVPImqULUlTnw1lmU53u7CYl8LovguSj1bJrcNt1T9X789usmqnQqoiQheLzJVE03qwlRs3YmnEC9IYwbpgFo1cxLDgYVgEC18kfsEnCZ902Dv/c7kTySXJmCyue2NE2g7RkBBpFcxmMxs3bqS8vHmyuC3t7ww5OTn89ttv7NjhvMtcxA24mieh1EH4UNvvLoQ3JEjsOzhk5iqktU0XxHKWiX2CiAvywGC28MWfGU22V8k0RGi7I5W0TBzLZLZQUGFsdn+1XM1DAx9iVs9ZSJCw8/ROXv3r1Q5dXOvczo68qrwO60G51BENiXYiOTmZbdvap8jO7t27OXr0aKvOodfrmTZtGqdOnWqyrclkYuPGjVRUnFc9dKV/c/j666/p27cvy5YtY82aNa0yh0gDqH1s+hCucOHuDRcuJj5aJXLpOa+E+8IbUomE+8bFIJHAn6dKOJxd1mQftVxLuC62xcZESWUNlcbmexEkEglTYqbwxNAn0Cl0ZJZn8uKeFzuk3sQ5rIKV7IpsEksSxfLkHRDRkGgnvvjiC+bOndsucy9YsIA333yzVedQKpVMnToVb2/vJtuWlpYybdo0e/VSV/s3h3feeYcFCxbwyy+/tPq5ELkIqRTULv5dI0eCTAUVZ2wCVU4ik0jwO+uVaGlp8Yvp5q9jSj+b+NTHO9Od2qKplXsQpu2GxFVD6iJOlxmotbSsOFd8QDwvjH6BWO9YqmurefPQm6xJWYPF6p56Ia1BtbmahOIEssuzO/Q6LzVEQ6IDU1NTw+7du9myZYtDye8LKS8vZ+vWrSQkJGCxWNi1axdpaWktnrusrIytW7eya9cuTKb645PZ2dls2bKFjIwMrFYrGzdupKysDACNRsODDz6Iv7+/vb3VauXQoUP88ccfFBfb7g4FQWDz5s0AbN++nY0bN7J79+56+4PNe7Fnzx52796N0di4i7e++Wpra9m4cSPp6emcOXOGjRs3uuV8ibiI1kXBJoUGIkfYfj/1u0td/c6WGJdajMhqXKj14QSzhkUS4KGksNLE6v3ObU/VKbwI1UbbdDWaSa1FIFff/BDHOfw1/iwcsZBJUZMA+Cn9J5btX9Zht4ieI686j+PFxzv8Oi8VREOig7J//35iY2O56667ePrpp4mMjGTFihUObX7//Xeio6P5+9//zl133cXIkSO58847W+yq//jjj4mIiOCpp57i3nvvpVu3buzZs8ehzeuvv05cXByLFi1i4sSJ3HLLLUybNo0TJ04AdUMT+fn5DBgwgJkzZ/LSSy8xcOBAli5diiAIfPbZZwCsWrWKFStWsH79+npDG5s2bSIyMpI777yT+fPnM3DgQA4ePFjve2hoPpPJxIoVK9Dr9ezYsYMVK1Zw6NChFp0vkWbgap4EQOwE28+M7eDC3ahMKsFPe9Yr4cakSwC1QsZ942IB+Pl4HqkFzhkqngofQjUtMyYqDGZKXVS9rA+5VM7sPrN5aOBDqGQqkkuTeX738xwtbN3wZ0upsdSQWpZKSmmKmIzZznQ5Q0IQBKrN1e3ycFcikMVi4a677uKqq64iJSWFv/76i/fee49HH32UkydP2tvMnTuX2bNnk5SUxP79+7nzzjtbnFOQkZHBvHnzeOutt9i3bx8nTpzguuuu46677sJstsVl09LSeOqpp/jyyy/5888/7WtqjPfffx+dTkdqaqrdixEREYFUKuWLL74AbOGGjRs38p///Kfedc2aNYvHH3+ckydPsmvXLjZv3kxVVZVL8+l0OjZu3EhoaCjz5s1j48aN3HTTTS04YyLNQqGxPVwhbIhNV8JQCnmuXeT8PWxeCbmxxG3VOc8xKNKHcXEBCMD72085HXLwUvoSqolqkTGR52Jhr8YYHjKc50c/T5RnFJXmSv538H98c+Ibat0gMd6a6E16jhUeI7cyF6vQsnCPSPNo2X6kDoih1sDIr0e2y9x7Z+9F6+oe+Xo4dOgQiYmJbNq0CcnZL5k5c+bw0ksvsWrVKp599ln2799Pamoqf/zxh73fvHnzeOGFF1o097fffktoaCj33HMPYEvMeuGFF4iIiGDv3r2MGzeOb7/9lpiYGGbNmgWAVCpl4cKFfPvttw2OK5PJqKqqorS0FH9/f+RyObfddpvT6/r666/x8/Nj4cKF9mORkZFERtZfbbGl84m0ARpfMLuwk0KmgOhxkPKTLbwRNtjprnKpBF+tguLKGuQ1empVPi4vtzHuGB3NkZwysksNbDiSy4whEU71O1eT44whq1kGjtUqcLrUQLcAnf27oiWcq9OxJnkNm7M282vmr6SUpvDAgAcI1gW3ePzWQkDgdOVpig3FRHlF4a1qndwqkfrpch6JrkB6ejpyuZzo6GiH4z169CA9PR2AzMxM1Go1YWFh9tflcjlRUVH256dOnWLjxo32R2lp0/HE9PR0unfv7nAsPDwcrVbrMHdsbKxDm4v7XMy8efOIjY0lMjKSCRMm8Morr1BU5LybOT09nV69eiGVOveRbel8Im1AS8IbWbuh1jV3tr9OhUTi/vAGgJdawV2juwHw/aHTnC513kDyUvq1yDNR3UzVy4ZQSBXM7jObRwY/gk6hI6M8gxf2vMDO0zs7/PZLo8VISmkKKaUpGGtbnkMi4hxdziOhkWvYO3tvu83tDnx9famtraW6uhqd7rxWv16vp2/fvgD4+PhgMpkwmUyoVCp7mwt1F44cOcJHH31kfx4bG4uvb+Nf3r6+vuj1eodjNTU1GAwG/Pz87HNfrO/QlN6Dj48PGzZsoLi4mD/++IN3332X9957j+Tk5Eb7ncPLy6vBhFNX59No3PN3Emkhah+QylzKdyCoD+iCoKoAcv46vy3UCRQyW65EUXUJeFpsc7uRMd392ZlaxOHsMt7fkcbz0/ohddI4aKlnoqjShFYlx0Plvq/0wUGDeXHMi7x/9H1SSlP4+PjHHCk8wl1978JD6eG2eVoDvUnPcdNxgnXBhOnCkLn5by3iSJfzSEgkErQKbbs83OFaBBg0aBAajYYNGzbYj50+fZp9+/YxevRoexulUslPP/1kb5OUlERGRob9+Y033ujgkThnhDTG6NGjOXz4MFlZWfZjGzZsQKlUMmTIEABGjRrFwYMHyc8/Lw+8adOmRsc95w3w9/dnxowZvP/++2RnZ5Oenm43lhraHQIwceJEjh07RmJiosPxc7tEXJlPpIPQnG2gEinEXm773cXdGwB+HkqkWFGY3FMR9EIkZ7Ul1AopKfmV/JKQ51J/m2eieQmYggCnS1u+JfRi/NR+LBi+gJt63IRMIuNA/gH+tftfHC867tZ5WgMBgbyqPFFquw3och6JzkR1dTUbN250OObl5cX48eNZtGgRDz74ILm5ufj5+bF8+XJGjRrFjTfeCEBQUBCPPfYY9913H1lZWeh0OpYsWYJW65xBk52dXWfumJgYpk6dyhVXXMHVV1/N/Pnz0ev1vPjiiyxYsIDQ0FAApk2bxuDBg7n66qt54oknyM/P54033gBocO4lS5aQnJzMtddei4+PD1988QW9e/emR48eKBQKunfvzv/+9z9mzZpFQEAAPXv2dOg/ZcoUbrzxRiZOnMj8+fMJCgpi3bp1TJs2jbvuusul+UQ6EBpfqHbxoh4zAY6tgdMHwFRhS8B0EqVMiq9WidlYjFkT6Nq8ThDgoeK2EVF8siuDb/7KZlCkD6HeznvAvJS+SCQSzlRnIriYOFhrsZKrNxLl1/I8rQuRSqRcG3st/QL68f7R9zlTdYbXD7zOxKiJ3NTjJlRyVdODtCNmq5l0fTr51flEekbipXRPeXeR84iGRDvRu3dvhgwZUmdLZ3R0tN2Q6N27N+vXr8dgMHDvvffy0EMPOVyoFy9eTPfu3fntt98IDg7mww8/ZO7cuXh4NO52HDt2LAkJCXXmvu666+jXrx8bNmzgvffe4+eff0alUvHee+9xyy232NtJJBJ+/vlnli9fzsaNG+nevTtr165l9OjR9rkvFpRasmQJP/zwA5s2bUKv1zN27Fg+++wzFAoFAOvXr+fdd9/l448/plevXixatMihv0QiYdWqVXz11Vf88ssvyOVybr/9drthdTFNzXfllVfWyUERaQc0foCLOh6+0eAbA6XpkLETek1xqbu/h5LSAj0SSw2CrOXFtC5mUp9g/kovISG3nPf+OMVz1/VFKnXey+Cp8EGqk5FblY5VcG1HRoXBTElljV2Ey51Ee0Xz3Ojn+DblW7ZkbWFL1haOFR3jvvj76OHb8Q30anM1ySXJ+Kp8ifCMQC1veVVWERsSoaNnz2CLv3t7e6PX6/HycrQmjUYj6enpxMTEoFZfWh+MiooKPD3P342dOnWKXr168fvvvzN27Ng2nfvzzz9n3rx5FBcXO+RsdFYu5c9Vm5NzAFyVPT6+Fg58AkH9YErd7cJNkas3cEYaRo0u1OW+zlBYYWLB2iMYzVZuHxnFdQPCmu50EdW1lZyuOuWyMSGRQGygB2pF6+UFHC86zicJn1BqLEWChMndJnNj3I0oW8Eway2CtEGEeYShkCraeymtTmPXUHfgskciOzub//u//yMzM5MePXrw8MMPExAQ0GB7i8XCd999xx9//IHZbGb48OHcdddd9jtDkebz7bffsnXrVq6++mr0ej2vv/46EyZMYMyYMa0+94IFC/Dy8mLIkCGcOHGCZcuWsXDhwi5hRIi0MRof1w2JmMvhwKdQkACVBeAR5FL3AA8VxSWFrWZIBHqqmDMqmg93pLN6fzaDo3wJ93EtyVcr9yBSF0dOdRoWF7QcBAFySg3EBuhc8oS4QnxAPP8e82++Sf6Gnad38kvGLxwtPMo98fcQ5xPXKnO6m4LqAooNxYToQgjRhSBtoWz5pYxLZy4jI4MhQ4aQlJTEhAkT2LFjB8OGDbPLD9fH2LFj+fbbb+nduzeDBg1i2bJlXH755dTUtFyR7VLnnnvuYerUqWzdupX9+/ezYMECfv75Z7clfTbG8uXLCQ4OZv369RQUFLB69WqeffbZVp9XpAviqlw2gC4AQuJtv6f/0XjbelDKpPgrzUhbsQDUlb2CGBDhjdki8H+/pzar/LdariVS1wOF1LU7fZPZwpny1t3+qFVouTf+Xh4d/CjeSm/OVJ1h8d7FfJ30dafZemkRLJyuPM3RwqMUVBd0+O2tHRWXQhv33XcfBw8e5MCBA0ilUoxGI3Fxcdx99928/PLL9fbJyckhIuK8OEtWVhbR0dF8//333HDDDU7NK4Y2RNoa8XPVhlitkP2na9tAAVJ+gT1vgXckXP+uy7sdaixWEqs8MXi0Xq5McaWJBWuPUl1j4bbhkUwfFN6scczWGk5XncJkca0UerivBh9t64cbKmsqWZW8il25uwDwV/tzV7+7iA+Ib/W53YlKpiLcIxx/jX/TjTsRrR3acMkj8eOPPzJjxgy7KJBarWbatGn8+OOPDfa50IgACAkJQaFQOCWOJCIicgkgldo0JVyl2ziQKUGfDUUpLndXyqQES8vdLpl9If4eKu4cbTNU1hzIIbO4fkn3plBIlUR6xKGVu6bfcEZvxOREVdKW4qH04L7+9/GPof8gQBNAsbGY1w+8zgfHPqC8pnGNmY6EyWLilP4UCUUJlBnL2ns5nQanDQmDwUBeXp6DciJAVFSUS/Udzu0UuOKKKxpsYzKZKC8vd3iIiIh0YZqjcqnUQZRNV4XUzc2aNkAjRVnbut8v43sEMjTal1qrwNvbUqmpbZ7Wg0wiJ1zXHU+Fj9N9rFaB7FJDs8IqzSE+IJ6XxrzEpKhJSJCwJ3cPi3YuYnvO9k5VB6O6tpqTZSdJLE5Eb9I33eESx2lD4pxYkFbruEfZw8OjyXLO5/jjjz+YP38+S5YsoVu3bg22W7x4Md7e3vZHQ/UUREREugjNyZMAiLvK9jN9u8uS2WBTuwyVte6FQiKR8LfLYvHWKMgpNbDyr6ymOzWAVCIlVNsNX5XzGhgms4U8N5Qcdxa1XM3sPrN5ZuQzRHhEUGWu4tOET/nPX//hdOXpNluHO6gyV5FSmsKJkhOdyrPS1jhtSHh4eCCTyeqEJIqLi/Hx8Wmy/+7du5k2bRoLFizg8ccfb7Tt008/jV6vtz+ys7OdXaaIiEhnRK4CVTNkl0MHgC4QzFWQ9Wezpg6SVSKjdd3/XhoFD15+ttx4Qh6Hs8uaPZZEIiFIE0GQJsLpvJCy6hpKq9s2wb27T3eeH/08N/e6GZVMxcmyk7yw+wXWJK/BUOtarkd7U1FTQXJJsmhQNIDThoRcLqdPnz4cPepYvvfo0aMMGDCg0b579uzhmmuu4ZFHHuHf//53k3OpVCq8vLwcHiIiIl0cTTO8EhIpdJ9o+z2teeENuQTClc3LXXCFQZG+TO5rq6C54o80yg3mFo3nqwokQhuLVOKcXkSe3oixDfIlLkQmlXFNt2t4eezLDA4ajEWw8FPGTyzauYi9Z/Z2ul0S5wyKpOIkMeRxAS4lW86ZM4fVq1eTk5MDQEJCAj/99BNz5syxt1m9erWDZPHevXu55pprePTRR3nllVfctGwREZEuR7PDG5NsP3MPQ1Vhs4YIlpYjl7X+tunbR0YT7qNBbzDz/o5TLb6Q6hReRHrEIXdie6jVKpBdUo3FzfU4nMFf488jgx/h0cGPEqgJpMxUxntH32PJviXkVOS0+XpaSqW5kpTSFBKLE8WkTFw0JJ544glGjx7NwIEDmThxIqNHj+a2227jjjvusLdJTExk/fr19ufTpk3DarVy4sQJbrrpJvtj9erV7nsXnRCr1YrF0rZ3B64iCAK1tbV1HiIirYLK0xbicBXPEAiOBwRI29qsqeU15YTqmm7XUpRyKQ9fGYdMKuFAZilbTxS0eEy1TEu0R0/U8qbfQE2tldP69gsrDAoaxMtjX7apYEqVJJcm88KeF/gi8QsqairabV3NpcpcxcmykyQUJVBsKO50HhZ30SyJ7CNHjpCVlUVcXBx9+vRxeC0xMZHU1FSmT58OwPfff1/vBbNv375OVaOE5ulI7Mvb5+rbahHDQ4a71P7ZZ5/lm2++ITU11X6svLyc1157jW+//ZaMjAy8vLyIj4/n0Ucf5cYbb2xUaGrDhg089dRTnDx5ksjISBYtWsT999/fYHuj0chLL73El19+yZkzZ+jZsyevvvoq119/vb3Np59+yj333INM5ug61ev1DuXNuyKijkQ7UZQKFWdc75e6BXb9FzxD4cb3m1VB0+IdyeEKL2pqW/9isPFoLl/tzUIpk/LyDfFEuqHQllWwUmDIQV/TsEDgOYK8VAR6tu/nushQxKrkVRzIPwCARq5hevfpTIyaiFzaOctAqWQqQnQhBGgCOpRSZoeTyAYYOHAgAwcOrPe1iw2EhooqiThSVlbGuHHj0Gg0fPjhh4waNYrq6mqOHz/OG2+8wbBhw+psvT3HwYMHmTlzJsuWLePee+9l48aN3HnnnQQFBdkNuot58sknWb9+Pd999x0DBgxg06ZN3HrrrWzZssVBYjs8PNweyhIRaXW0fs0zJKLHwt4Vtr4FCWc9FK4hqyokwjeEU4Wtny9xbf9Qjp3WczRHzxtbTvLyDfEtro0hlUgJ0UahkmkoMJ5uVB+jsMKERiHDQ91+pQoCNAH8fdDfSSpOYlXyKrIqsliVvIpt2du4uefNDA4a3CYqve7EZDGRWZ5JbmUuQdoggrRBndYocoWOYzJd4jz77LPk5OTw888/M378eJRKJT4+PowbN441a9Y0aEQAvPHGGwwZMoTHHnsMT09PbrvtNqZPn87rr7/eYJ9vvvmGRx55hOHDh6NSqZgxYwZTpkxh+fLlrfH2REScQ+0D0mZcUBVqm0AVNFtTglojQXIDGmXrFbs6h1QiYd6EOHy0Ck6XGfhkV7rbxvZVBRKp646skQuYIEBOmYGa2vYPr/bx78Nzo5/j7n5346X0oqC6gLcPv81rf71GWpmLlWE7CGarmdOVpzlSeISs8ixMFte3JncmREOiAyAIAt988w133nkn/v6uS7Pu3r2byy+/3OHYlVdeyd69e7FaG06sujiqJQgCO3fudDiWn5+Pp6cnXl5eXHbZZWzfvt3l9YmIOE1zVS7hfNJlxk4wNy8PQFKZT6Sva8W1mou3RsEjV/ZAIoHtJ4v4I6V5iaL1oZV7Npk3YbG0rVhVY0glUsZHjGfxZYuZGjsVhVTBybKTvLL3Fd45/A55VXntvcRmYRWs5Ffnc7TwKKmlqZ0yD8QZREOiA1BSUkJxcTE9e/ZsVv/8/HwCAx0FaoKCgjAajej19W9RmjVrFm+++Sa7du2ivLycVatW8eOPP1JQUGA3Pnx8fFixYgVZWVmcPHmSESNGMGnSJA4ePNisdYqIOIW2mXUOgvraciRqjTZjojlUF+OvkeKpbht3dN9QL24aYisj8MmudHJK3VdETCFVEamLw6cR8SpjjYXcso6j6aCRa5jZYyaLL1vMuPBxSJBwIP8Az+56ls8TP6fU2HlLK5SaSjlRcoLE4sQul5gpGhIdgHNxQGc+WBfunmis/TljoKEY4/Lly5k9ezZ33HEHYWFhfPzxxyxYsACpVGrvc8MNN3Dffffh6+tLcHAwy5cvp3///rz11luuvkUREefR+jUrWRKJBHqcVbpM+bl5cwtWqCxwS/Kjs9wwKJz4cG9MtVbe2HISkxvDDVKJlGBNBKHa6Ab1JsoNZgpauVKoq/ip/bg3/l5eHPMiAwIHYBWs/J79Owt3LGRV8qpOfWdfZa7ilP4URwqPkFuZi9naMj2RjoBoSHQAfH19CQgI4MSJE422O3DgAGq12v5YvHgxAKGhoRQUOG4jKywsRKPRNJihq9VqWbp0KadOnaKyspJffvmFsrIyYmJiGk1w6tevn8NOExERtyNTgLIZKpdgk8yWyqEoGYqbGV+vzMNbo8BX1zaJiFKphL9P6I7PWQntj3aku/1u1UvpR5RHD1Sy+sM2hRWmFgtktQYRnhE8PuRxnhr+FHE+cZitZn7J+IUF2xewLnUd1a1YBr61sedRFBzhlP4UVebWT/JtLURDogMgkUiYPXs2X375JYWFDcdJhw4d6uCReOaZZwAYO3Ys27Ztc2i7ZcsWRo0aZa/Uek4ToiGMRiPff/89M2bMaLCNIAgcPXqU8PDmlUIWEXGa5oY3NL4QdXbXUXLDVYkbpaYajOVE+Wmb5RhpDj5aJY9cGYdUAjtSi/g1Md/tc6hkGqI8euKjCqj39dNlhjZXvnSWXn69eHrE0zw+5HGiPKMwWUxsSNvAgu0LWJ+6vlMbFAICxYZiEosTSShOoMhQ1KkKnIFoSHQY/v3vfxMdHc1VV13Fb7/9RkVFBXl5eWzevJnp06eTmZnZYN/HHnuMY8eO8Z///IfCwkI+/fRTfvjhB+bPn29v89FHH6FQKKisrARs+h5vv/02RUVFnDp1ittuuw2lUsnTTz9t73P33XezceNGioqKyMrK4uGHHyYhIYFHH3209U6EiAg0X+USoNe1tp/pv0NNM+/yKvPRKuUEejZDIKuZ9A3zZvYIW8nxL/ZkciLP/TUdbKGOSMJ0MXVCHVarQFZJNbXtoHzpDBKJhAGBA3hu9HPMGziPMF0Y1bXVrE9bz/zt8zu9QQFQba4mXZ/O4YLDZJVndZqaJKIh0U7IZDLk8vMJXV5eXuzevZsbbriBf/zjH4SGhjJ06FCWLVvGAw88QHR0dINjDRw4kPXr1/PNN98QHR3Na6+9xieffMKUKVPsbaRSKTKZzB62uPrqq0lPTyc+Pp7Ro0fj7e3Nrl278PU9X855/vz5fP755/Tr149Ro0Zx6tQpdu7c6aAzISLSKih1oGjm7ongfuATZasG2kylS6oKwWoh0leLTNp2WgbX9g9hdHd/LILAG5tPUlLVOoW2PBU+dPPshUbuGEIy11rJLqnG2gF2cjSEVCJlWMgwXhr7Eg8OfJAwXRiGWoPdoFh7cm2nL6xlESzkV+dzvOg4J0pOdHgvRbOULdua5ihbioi0BPFz1QEoOQX6ZpadTvoB/noPvKPg+neal7wZ0AM8QzhdZiCruO3udI1mC8+tP052qYEeQR48d11f5LLWuecTBIESUz5FpjwHAStvjYKINkw4bQlWwcqB/ANsSNtgL1OulCoZHzGea7pdg19zisF1QORSOf5qfwI0AWgVrv1tWlvZUvRIiIiIdEyamycB0P1KW90OfRbkJzRvjAqbdkGolxqVou2+KtUKGf+4qhdapYyTBZV8tqfhsGZLkUgk+KtDiPbo6ZCIqe+AOzkaQiqRMjxkOC+OeZG/D/o73by6UWOtYXPWZp7a8RQfH/+Y3Mrc9l5mi6m11pJfnU9CcQKJxYkUVBdQa+0YtY9EQ0JERKRjovZuXhEvsIVGYibYfm9u0qWpAmqqkEolRLfx3XmIt5q/XxGHBNiclM9vrZB8eSFqmZYoj574qoLs3pvCChOl1a0TWmkNpBIpQ4OH8q9R/+KfQ/9Jb9/eWAQLO0/v5Nldz/LGwTdILknuEvoNVeYqMsszOVJ4hFNlp9Cb9O36vrq+CLiIiEjnResP5c28m+x1LZz8BbJ2g6HUtqPDVcrPQEAc/h4qvMqNlBva7g5wSJQvs4ZFsnp/Np/uTifEW03/cO9Wm08qkRKkCcdD4U2eIQuzxcSZMgMKmRQPVee5VEgkEvoF9KNfQD9Sy1L5Of1nDhUc4kjhEY4UHiHGO4aru13N0KChyJojx96BsApWio3FFBuLUUgV+GtsoQ+NvG3UWc8heiREREQ6Li0Jb/h3h4BeYK2F1N+aN0ZVAVhsxkM3f12bbQc9xw2DwhgXF4BVgP9tTuF0G6hQauUedPPoja8qCAEJOaXVHXZbaFPE+cTx8OCHeWXcK0yImIBcKiddn86KIyt4asdT/JT+E5U1le29TLdgtprJq8rjeNFxEooTyKvKw2xpG20Q0ZAQERHpuKi9QaZsfv/eZ7eCJv8E1mZcDK0WqLSFFXSqtt0OCra767+Nj6VnsAfVNRaW/nKCCmPrXxzOeSeidT2RoyazuLpDFPhqLiG6EO7sdyfLxi9jevfpeCo9KTGWsCZlDU9uf5LPEz+3J2p2BarN1WRXZHO48DDJJcmUGctadT7RkBAREem4SCQt80p0uwxUnrbtnNl7mzfGBWXNI321yGVt65ZQyKT846peBHqoyC838fpvKW2m9aCWa4n26IWPIpjsEmOH1ZhwFi+VFzfE3cCy8cu4N/5eIjwiqLHU8Hv27/xr179Y8tcS9uft7zBJjO6gvKacwmr3FYSrD9GQEBER6djoWmBIyJTQ86yeSsL3zRvDbIDqEgCUcimRvm2/LdJbo2D+1b3QKGScyKvggx2n2iy57tzOjjBNT0oq5B2iWmhLUcgUjAsfx4tjXmT+sPkMCRqCBAknSk/w7pF3WbB9ARtSN3TqImFtiWhIiIiIdGzUPrb6G82lzzRb/Y3CJChIat4YF3glgr1U7ZJ8GOmn5dGJ58uOr96f3abzK6Qq/BTdkJiDUUjbpg5JayORSOjj34eHBz/M0vFLuS72OryUXpSZyliXto752+fz1qG3OFp4tEMLQrU3oiEhIiLSsZFIoCWiQhpfm64EQMJ3zRujusTmmcB28ekW0HZ1OC5kUKQP94+LBWDd4Vx+Pp7X5muw1nqgEboRogtBQjuchFbCT+PHjB4zWHr5Uv7W/2/09O2JVbByqOAQ/zv4P57a/hTrU9dTZChq76V2OERDQqTdefvtt3n++edbvc+F/Pzzz9x2221cddVV7N69u9njiLQRuvoLTTlN3xttP7P+bL5a5gXbUD3VCoLaOPHyHFf2DmLW0AgAPt+TwZ+nitt8DSWVFsxGX+ID4vFWtd6W1PZAIVUwKmwUC0cs5JWxrzA5ejI6hY5iYzHr09bz1PanWL5/OXvP7G2zXREdnc6zObiL8emnn/Lll1/WOe7h4cG6devafkFtxBtvvIFer+e5556zHztx4gQ5OTkujdOcPudIT09n+vTpLF++nD59+tCjR49mjSPShqh9bOGJ5ibB+URCxHDI2QeJ62D0310fo7IAfLvBWe2BKD8tpdU11NS2fc7AjYPD0RvM/JqYzzvbUvFUy+kX1rYX9PxyE1KJhJ4BPdGb9GSVZ2G0dA41TGcJ9Qjl1t63MrPHTPbn72fn6Z0klSSRUJxAQnECWrmWEaEjGBM2hu7e3e21jC41REOinUhNTSUpKYnPPvvM4bhC0TVijw2RlJREUZGja/CRRx7BZDK12RoOHjyIl5cXjzzySJvNKdJCpFJbRdDKguaP0W+mzZBI2wKDbgeNj2v9rbW2+b1CAZDLpET6aUkraGaF0RYgkUi4a3Q39AYze9NLWP5rCv+6ri8xAbo2XccZvRGZVEKknzfxAfEUGgrJrczFbO1ad+oKmYLRYaMZHTaawupCduXuYufpnZQYS/g9+3d+z/6dIG0QY8LGMDp0NIHawPZecpsiGhLtiEajYdKkSfW+ZjAYmDNnDtOmTePuu+8GbIWk7rzzTiZPnsz999/P0qVLsVgsxMbGsmnTJioqKrjlllu45ZZbHMbavXs3H374Ifn5+fTo0YPHH3+cbt262V8/N06vXr3YsGEDlZWVTJs2jTvvvNNhnJSUFN555x3S0tKIjIzknnvuYcSIEU6P8+mnn7Jx40bMZrP9fS9dupRdu3ZRWFjIgAEDAPjqq6/45JNPAPD29mbIkCE89thjeHg4VipsjOLiYt566y2OHDmCv78/t912GxMnTuT//u//eOedd6ioqGDSpEkolUp+/LGZEsoibYs2oGWGRHA/8O8BxScheZPNmHCVily7IQEQ5KmmsMLUpoqX55BKJcybEEe5MYmkMxUs/imJf03tS2Qby3nnlBqQSCDCV0uQNgh/tT9nqs6QX53fJRMUA7WB3BB3A9O7TyepOIndZ3ZzIP8ABdUFrEtdx7rUdXT36c6okFEMDxmOl8r9RbI6Gl3OkBAEAcHQPjXcJRqN21xbGo2GGTNmMHfuXEaMGEHfvn1ZsGABBw4c4KOPPgIgISGBb7/9lgEDBvDYY4+RmZnJ3XffTUVFBffffz8Amzdv5tprr+Xxxx9n6tSprFy5kqFDh3Ls2DHCwsLs46xdu5bx48dzzz33kJuby0MPPQRgNwL+/PNPpk6dyoMPPsjf/vY3kpKSuOqqq1i1ahXXXHONU+NcdtllDB48GL1ez8KFCwGIjo7mo48+cghTjB07luDgYABKSkpYsWIF69evZ+/evU6f3+uuuw4vLy8eeOABKisrWbp0KRKJhIkTJ5KVlcV7773HwoULkck6t0TuJYXG1xZWaI6wFNiSNuNnwh+vwYlNtt/lLlZ2ram2JV5qzyd/xgZ4cDSnjPbYFamUS3lyci9e2ZTEqaIqXvkxieeu60uYT9tKJGeXGJBKJIT5aJBJZUR4RhCkDeJ05ekum5wolUjtUtx39LmDgwUH2XV6FydKTpBWlkZaWRork1fS168vI0NHMjhosMtVOzsLXc+QMBhIHjK0XebudfAAEq3zH5Tc3Nw6Honhw4ezePFiAG6//XZ++uknZs+ezQsvvMD//d//sX37djw9Pe3tpVIpP/30E97etvioRCLhueee45577kEmk7FgwQLuv/9+lixZAsCMGTMYNGgQr7zyCu+88459nMDAQNatW2cPrZwzUs4ZEo899hhPPPEEzz77LADTp0/HarXywgsv2A2Jpsbp3r074eHhqFSqBj0xAN26dXPwmEybNo3g4GB27NjB+PHjmzyvRqORP//8k4MHDzJ48GDAZshUVlbi4eFBv379UCqVja5BpAMilZ71SrSggFXUaPAIto2RugV6T3V9DH2OgyGhUcqI8NO2aanxC9Eq5Tw9pQ8vb0oks6Salzcl8vy0fgR7uWgktZDM4moEIPysEaOUKYnxjiFUF0puZS7FxrZPCm0r1HI1Y8LGMCZsDKXGUvbl7WPvmb2kl6dzvPg4x4uPI5PIiA+IZ0TICAYFDWrzehitSZczJDoTvr6+9jvzcwQEOGanv/vuuwwcOJCZM2fy3HPPMXr0aIfXR48ebTciAKZOncqCBQvIysoiLCyMI0eO8PLLL9tfl0gkTJs2jZ9//tlhnGHDhjnkZ3Tr1o1Dhw4BUFFRwb59+7BarezcudPm9REECgoKSEtLc3ocZ6mpqeGLL77g999/p6CgAIvFgsViITU11SlDQq1W28MhTzzxBOPHj8ff39+l0IhIB8UjsGWGhFQGfW+Av96zbQXtebUtidMVjHrbQ33+/y7MW01JZQ2VpvZRRPRQy3nm2j68tDGR02UGXt6UyHPX9WtzSe+s4mqsVsEhvKKWq4n1iSXEHMLpytOUmcradE1tja/al8ndJjO522Tyq/LZe2Yv+/L3cbrytL1wmFwqp59/P4YGD2VQ4CA8lJ37u6nLGRISjYZeBw+029yu0FiOxIVt/P39ycjIYPjw4XVev9A7ceHzsrIyPDw8sFqteHk5xui8vb0pKytzOKZUOtYzkEgkWK22+GZFRQWCIHDrrbcycOBAh3ZSqeMO4sbGcZa5c+eyd+9eHnvsMaKiolCpVNx5551UVzt/x7dlyxbeffdd/ve//3H77bczfvx4PvroI8LDw11ai0gHQ+1jKy1e24Lk3Lir4Oiqs16JzdDzmqb7XIw+x8GQkEgkdA/ScTRHT3tVc/bSKHh2qs2YOKM38vKmRP51XV8CPNrWmMgptYWWL87V0Cq09PDtQbW5mtzKXEpNXV81MlgXzPS46UyPm87pytPsy9vHvrx9nKk6YzcqpBIpvf16MzRoKIOCBuGrbkaV2nam6xkSEolL4YWOzvPPP09+fj6PPPII999/P0ePHnXwWpw8edKh/bnnMTEx+Pj44OHhQUpKCuPGjbO3SU5OJiYmxuk1BAUFodPZssFbGg642PC4GKvVyurVq1m/fj2TJ08GwGQyUVJS4tI8Pj4+PPPMMzzzzDOUlpYyefJkXnjhBT744INmr12kAyCRgC7QdiFvLgo19J8F+z6AI9/YxKpcLQxWXQI1VaA8v0tCq5QT7qOxX0jbAx+tkkVnPRMFFSZe/CGBRdf2JcS7bcMcOaUGrIJAtH/dXSRahZY43ziqzdWcqTpDidG1/+3OSrhHOOFx4Vzf/XpOV57mYP5BDhQcILsim8TiRBKLE/ki6Qu6eXVjcNBgBgcNJtwjvFNsKRUFqTow27dvZ+nSpXz++ee8/vrrREZGMnfuXIc2R48etetOmEwmXn31Va677jp8fHwAuOuuu/jvf/9LaanN+k9ISOCbb76x7wRxBrlczn333ceSJUtITEy0H8/Ozq6zfbUpAgMDyctrWI1PKpWi1WpJTk4GbMmzzz77rEvbQwsKCvjwww+xWGxJeT4+Pvj4+LRZbQKRVsYjqOVj9JpiKwZWXQQpvzRvjHqMmQhfDTpV+ybw+nuoeO66voR4qSmqrOHFjQnklLZ9/kZumZFThZUN/t9pFVq6+3Snf0B/AjWBXUolszEkEgkRnhFMj5vOi2Ne5LXLXmNWz1nE+cQhQUJGeQbfp37Pc7uf46kdT/FV0lccKzzWocWvupxHojNRX7IlwPr166mtreWOO+7giSee4IorrgBs2yIHDx7Mhx9+aN+VMWLECBYuXMhLL71EXl4eWq2WX3/91T7Wyy+/zIwZM+jevTtxcXEcP36cu+66i9mzZ7u01iVLllBZWcnQoUPp06cPRqORmpoali9f7tI4N998M2+++SZDhgzBz8+PpUuX1mmzdOlS5s2bxxdffEFRURHBwcH2HSbO4Onpyd69e3n66afp2bMnp0+fxsPDQ/RGdBWUOtujpgX6DTIlDLgV/nzHFubocZXrOziqCsEn2ubhOItEIiE20IPjp9svxAE2Y+L5aX159ccksksNvPhDIs9c26fNdSbyy03UWgXiAj2QSus3FNRyNd28uxHuEU5edR6F1YVYhM5bstxVgrRBTImZwpSYKehNeo4UHuFQwSESixMpMhSxJWsLW7K2oJQp6evXlwGBA4gPiCdA00K1VzciETrBbVp5eTne3t7o9fo68X6j0Uh6ejoxMTGo1W3rvmsJaWlppKen1/vahAkTKCgoIDExkfHjxzvkHSQkJFBeXs7o0aO5++67qa2t5dNPPyUlJYWKigqGDh2KXF7XPkxJSSEvL4+4uLg6F+XExEQEQaBfv372Y5mZmeTn5zvoRAAUFRVx4sQJAgIC6NGjh8P2SWfHqaioICkpifLycoYMGUJhYSEmk8muIwE2r0JKSgr+/v707t2bP//8k8jISCIibNLAycnJdfpcTFlZGUlJSfj6+tKrVy+7izAvL4+TJ09y2WWXNdi3s36uLhn0OVBS//+P01jMsO5BW67E0Lsh/ibXx/AMhYC4OoezS6rbNcRxjgqjmdd+OsGpoiq0ShlPXdObnsGeTXd0M14aOb2CPZHLmnaCW6wWCg2F5FfnU2OpaYPVdUxMtSaSSpLsuRQXJ6mG6kLpH9Cf/gH96eHbA2Uj4TmpUcqwmGH1XkPdgWhIdGLOGRL1SW2LtIxL+XPVKaitgZy/aPFtf+oW2PVfUHnCjI9A6WJ+lURqk96WO36JC4JAQm45Fcb22cVxIdU1tSz5OZnk/AqUMimPTuzB0Oi2T+jTqWT0DvFCKXcuoi4IAmWmMvKr86moqWjl1XVsBEEguyKbI4VHOFZ0jLSyNATOf/YVUgU9fXvS178v/fz7EeEZgVRy/jy3tiEhhjZEREQ6H3KlbQeHoYWZ/7ET4Pgam4cjaT0MvM21/oIVyk+Dn2PyskQiIS7Ig6M5eiztoVR1AVqlnIVTevO/zSkcydGz/Ldk7hnTjav6hrTpOqpMFhJy9fQO8UKjbDqPRCKR4Kv2xVftS7W5mvzqfEqMJV1SLbMpJBIJUV5RRHlFMa37NKrMVSQVJ3G06CgJRQmUmkrt9T/WsAZPpSd9/PrQ2683ff37EiwNbt31iR6Jzkt9oQQR93Apf646DZUFUJjc8nEydsAf/wGFFmZ+ZPNOuIJUBuFDbdtSL6KgwtgutTjqo9Zq5eOd6WxLLgRg+sAwbhkeibSNdwXIZRJ6BnnirXW9rlCttZYiQxGF1YVdrkBYcxEEgdyqXBKLE0koSuBE6Yk6ISEfwYed9+wUPRIidenbt297L0FEpP3Q+rdMMvsc0WNtVT1LM+DYGhh2r2v9rRYoy4KAulVkgzzV6KvNFFW2f6xfLpUy97JYAjxUrDmQw4YjuRRVmnjw8u4onMhdcBe1FoGkvHJiAnQuq2/KpXJCdCGE6EIorymnsLqQUmOpg5v/UkMikdi2lnqEc1X0VdRaazmlP0VScRJJJUmklaVRbGhdVVHRkBAREemcSGUtl8wGW57DkLtgy4uQuB7iJoFPlGtjVOaDV3i9ORYxAToqTLWYzO3vkpdIJMwYEoG/h4oPtp9id1oxRZUmHp/UE1+ti1oaLUAQ4FRhFYYaC9H+2mZpJXgpvfBSelFrraXYUEyRoYjq2vaRKe9IyKVyevr2pKdvT67neky1Jk7mneReXDSQXUDUkRAREem8eLipXHPEcIgcCYIF9q5wPYlTEGwejXqQy6R0D/SgI+kKXd4zkKem9EarlJGSX8mi74+RWlDZ5us4ozdyIq+CWkvzjSy5VE6wLph+Af1s+QDaYBRS18MmXRWVXMWAgIZ3t7kD0ZAQERHpvGh8bbkN7mD4XJu+RN5RyNjuev/qYlsNjnrw1iiI8O1YRZr6h3vz8g3xhPtoKK028+IPCfye3IIy7c2krNrM0dN6qtxQp0Sn0BHlFcXAwIH08OmBn9rvkhG6ak9EQ0JERKRz4+mm3QeeITbpbIB9H4G5GW7yRrQtIny1+OnaLnzgDKHeGl66vh/Don2ptQq8t/0Un+xKb5GHoDmYzFaOn9ZTUOGeBEqJRIKP2ofuPt0ZHDSYGO8YvFXeTXcUaRaiISEiItK58Qi25Uu4g/iZNpEpQwkcXul6f1MFVBU1+HL3QB1qRcf62tUq5TxxVU9uGmoTe/s1MZ8Xfkggv7xtd0VYBUgrqOJUYSVWN26ZlUllBGgC6Onbk0FBg+jm1Q0vpft3LlzKdKxPtIiIiIiryOS2Ql5uGUsJIx6w/Z60vsG8h0YpzWwwx0Iuk9IrxBNZA3LR7YVUImHmkAienNwLnUpGWmEVT393jD1pDRtFrUV+uYnjuXoMNe6XyVZIFQRqA+nl14tBQYPsngox/NEyxF0b7cSuXbs4ceIE9913n8Px6upqfv/9d9LT0/H29iY+Pp5BgwY1OZ7VauW3334jJSWFqKgopkyZUqek98VUVFTw22+/kZubS69evZg0aZJD9nRCQgI//fRTnX6PPfYYCoWYzCTSgfAMhYqGi8G5RMQwiBwF2X/aEi+vXoxLmZLmaijPBe/6S9ZrlXJiAnTtktzYFEOjfXltxgDe3ppKcn4Fb25N5djpcu4aE41K3nbFyKpMFo7mlNGtGVtEnUUhVRCgCSBAE4DFakFfo6fMWEaZqeySqvXhDrqsIFXV3r/adI26kSOabnQBzz77LN988w2pqan2Y2vWrGHevHlERkYyatQoqqqqSEhIQKfTsWHDBry964/xmc1mpk+fzvHjx5k8eTI7d+7Ew8ODrVu3Nthn//79XHfddcTFxdG/f3+2bt1KdHQ0P/zwAyqVTVjn008/5ZFHHuGBBx5w6Pvqq682aaR0dkRBqk7ImSNgLHfPWJX5sG4eWEww6u+2aqGuIJVB2BCHgl4Xk1FUxRl9xxRVslgFvjuYw/eHTiMAYT5qHrq8O3FBbV+nw0+nJDZQ12ZaF4IgUGGuQG/UU2Yq6xLCV6JE9iXCtm3buPXWW/nvf//Lo48+6vDarl27Gi2B/cEHH7B7924SEhKIiIhAr9czYMAAFi9ezGuvvVZvn3nz5jF27FjWrl0LgMFgID4+nrfeeosnn3zS3s7b25tly5a54R2KiLQynqHuMyQ8gmHwHNj/Eez7EIL7uaYtYbVAcSqExDfYJNpfi8Fsoay645WHlkklzBoWSd8wL97elkpumZHnNiQwtX8os4ZGOl0vwx2UVNVQaaolNkCHbxskq0okErtGRSSRGGuN6E02o6KipuKSFr9qCDFHooPw/PPPM2LEiDpGBMDYsWPx8fFpsO+aNWu49tpr7ZUxvb29ufXWW1m9enWDfY4dO8bEiRPtzzUaDWPHjuWbb75xaGc0Gvnwww/56KOPOHDggIvvSkSkDdEG2HIc3EXf6yFssM0rsX0JuFqJ0lAKFQ2LZUkkEnoGe6JTtV3IwFX6hXmzdOZAxsUFIAiw8egZnv7+KCn5bVtEq6bWyom8ClILKjC38Y4StVxNsC6YXn69GBI8hJ6+PQnRhaCVu2nbcRdANCQ6ACaTid27d3PNNdc0q39SUhK9evVyONa7d2/S09MxGut3y8XGxrJv3z77c4vFwsGDB0lISHBop1Ao2LFjB5s3b2b8+PHccsstWCxi/FCkAyKVgqcbixNJpDDuH6D2tiVdHvjE9TFK022VShtAJpXQK8SzTe/wXcVDLefvV8Tx5ORe+GgV5JYZeWFDAp/tzqC6pm2rmxZW1HAku4yiSlObznsOqUSKt8qbSM9I+gX0Y1DgIGK9YwnUBKKS1a21cqkghjY6AGVlZVgsFsLD60/OaoqKioo6HotzzysrK+uN8S9ZsoSZM2dSWVlJ//79+fXXX5FIJBiNRmpra5HL5YwZM4bU1FR0Oh1gM1iGDRvG22+/zWOPPdastYqItCqeobZKnu5K/dL4wtjHbfLZST/Y8h4ihjvf32KGkjQI6tNgE5VcRu8QTxJyy9u9UmhjDI32pVfIQD7fk8GOk0X8nJDHnlPF3D4yinFxAc2SuW4OZovAyfxKiitriPbXola0n0dHIVPgr/HHX+MPQI2lhvKacipqKqioqcBkaR+Dp63puGbwJYSXlxcSiYS8vMazzvPz81m2bJn98eeffwKg1WopL3eMDev1evtr9TF16lQSExO57LLLqKmpYdGiRcyZMwedTodcbrMve/bsaTciAPr06cPkyZPZvHlzs9+riEirIleBxs+9Y0YMhz7TbL/v+h9Ul7jWv6oIqhovmqRTyekR1LFktOvDQyVn3oQ4np7Sm1BvNXqDmXd/T+PFHxLJLG7bKqclVTbvRHZJtVt1J1qCUqYkQBNAjHcMAwIH2D0WQdogtO5SYO2AiIZEB0Cj0TB06FB+//33RtuZzWby8vLsj6oq2z9ur169SEtLc2iblpZGeHh4g4YE2MIbjz76KC+//DJTpkxh165dDB/e+N2WXC6vY7SIiHQovCPcP+bQe8A3xiaBvXM5WF106Ren2rwTjeCrUxIboGu0TUdhQIQP/5k5gFuHR6KSS0nOr+Dp74/xwY5TlFS1XaVTqwA5pQYO55S16bzOcs5jEe0VTT//fgwJsuVYhHuE463yRi7tGkEB0ZDoIDzzzDNs2bKFVatW1XktJSWFiooKIiIiHDwS55Ilr7/+ejZt2kRJie1OyWg0smrVKm688Ub7GMeOHWPZsmWYzbYvs+zsbGpqzv/j7d+/nx9//NEh2fP48eMO6zh9+jS//fYb48ePd98bFxFxN2ovW0jCnciUMH6BzeNx5gjsedu18ImlBgpPNNknyEtNt4DOceeqkEm5flA4y2cNZGSMH4IAW08U8PiqQ6z8K4tKN9TOcBaT2UpyXgWJueVtOq+ryKQyvFXehHmE0dO3J4ODBtM/oD8x3jEEa4PxUHgglXS+y3LXMIe6ADfeeCNvvPEG99xzD59//rldR+L48eNkZGSwfXvDRYQefvhhVq9ezfjx47n++uvZsmULtbW1/Otf/7K32bt3L/Pnz+fBBx9EoVCQkZHBDTfcwJQpUygvL+fTTz/lySefdDA+li9fTnZ2NqNGjaK6upovv/ySgQMHMn/+/FY9FyIiLcYnyrZrwq1jRtqMiW2vQOpm0PrD4Duc728og5JT4N+90Wah3hqsAmQVd46S2P4eKh6f1JPkvApW/pVFcn4FG47ksuVEPtMHhjO5b3Cb5THoDWaO5ejx91AS6atFo+y4O2LOoZarUcvVcLammyAIGGoNVJmrqK6tpspchaHWgFVo/zL0DSEKUrkJVwWpfv75Zw4fPszChQsdjufl5bFp0ya7smX//v2ZPHkyUmnjVqrJZOKbb74hOTmZqKgoZs+e7XCu/vrrL1avXu0gJnXy5EnWrl2LIAhcc801DB48uM64u3fv5o8//kAmkzFw4ECuvvpql95nZ0UUpOoC5B13vzEBkPIL7HnL9vuoedDrWtf6B/R0andJdkk1OaWGZiyw/RAEgYNZZaz8K4vTZba1e6jkXN0vhGv6heChbrt7V4kEAj1VhPto2jUh0x0IgoDRYqTaXE11bTXV5moMtQbMVuc0SFpbkKrLGhIiIi1B/Fx1AYzltjBEa3D4azjytW2L6ISnIWq0830lUgjpbwvBNEFWcbX9gtyZsFoFdqQWsu5QLnlni3+pFVIm9Qnm2v6h+GrbThlXIoEAD5tB0Rk8FK5gtprtRsWFj4u9F6IhgWhIiLQ94ueqi9BaXglBsOVJnPzFlj8x6UWbceAschWEDgJ50xfUzuiZOIfVKrA3vZh1h3PJKrGFamQSCSNj/bi6X8jZnSpts1VFIrHJbYf5aPBQde2ofo2lxtG4qDTQL6KfaEiIhoRIWyJ+rroIremVsFrg91chey9IFXDZP6HbOOf7qzwhON5WvbQJzugNZBR1jpyJ+hAEgUPZZWw4nEvyBaqYMQE6JvcNZnR3/zYtCuaplhPircZfp2wzQ6Y9aewa6g5EQ0JEpB7Ez1UXorW8EgC1Jti+1FYpFGzbRPvNcL5aqMrjrDHRdDXdwgoTaYWVbtPaai/Si6r4NSGPXWlFmC22N6NRyBgV68f4HoH0CvFss4u7Ui4l2EtFkKe6Q6uLthTRkEA0JETaHvFz1YVoTa8E2DwT+z+0KV8C9JwCIx+0VQB1BqUWgvs7FeYoraohJb+CDqK/1CIqjGa2JReyJSmfgorzCpDBXirGxQUyKtaPCN+22QorkYCPVkGghwpfrRKptGt5KURDAtGQEGl7xM9VF6MgyaYw2ZokrrdVCkWA8GFw2ZM2j4MzKDQ2z0QjZcfPUW40czK/gpraDv/V7RSCIJCcV8EfKYX8mV6M0Xw+UTDcR8PIGD9GxPgR5adtE0+FQibB30NFgIcST3XTnqLOgGhI4Jwh0a1bNzQaTTutUKSrUV1dTWZmpmhIdBVqTXD6oOuKlK6SuRt2LLMJUGl8YeRDED3Gub5ylc2YUDZ9F26qtZCSV9mhxZeag9FsYV9GCXvSijl2Wk/tBa6XQA8VAyN9GBTpQ78wrzbZ0qmUS/HXKfHzUOLViY0K0ZCg8ZNgsVg4efIkWq2WwMDASyJxRqT1EASBmpoaCgsLsVgs9OjRo0kND5FOQnkuFKc13a6lFJ20yWjrc2zPo8fYDApn1DalMpsUt1dok02tVoFTRVUUVnTNwlDVNbUczCpj76lijuSU2fMpAORSCb1DvYgP86JPqBexgTrkrfx/qpRL8dEq8NEo8NYokMs6z/eCaEjQ9EmorKwkJyeHTvBWRDoJWq2W0NBQu3iXSBfhzBFbzkRrY6mBI6vg+BoQrKD0sCVixk0EZ+oraHxtwlVO5E3k6Y1kFFd1+iTMxjCaLSTklnM4u4wj2WUUXlRGXCWX0jPYk94hnvQI9iQ2QIeuFbd4SiS2nR8+WiVeajkeKnmHvokVDQmcOwkWi8VeR0JEpCXIZDLk8o79xSDSTGqqIPeQ+8qMN0XJKdj1hq2UOIAuEPreAD0m2/IiGkOmAL/u4BHY5DTlRjNpBZUO+QVdFUEQyNUbOZpTRmJuOSfyKuoN8YR5q+ke6EFsoI4oPy1RfrpWU9aUSSV4quV4aRR4quXolHJkHShhs0MaEkePHiUzM5MePXrQu3fvVutzjtY+CSIiIpcQpRlQlt1281ktkLQBjq8FY5ntmNIDel8HPa8BXUDj/TU+toqmTYRGLFaBjOIqCsq7ZqijIayCQE6pgaQz5STnVZBWWOmwC+RC/HRKovy0RPhqCPXWEOatJsxHg6favTcOEglolTI8VDZvhVYlR6uQtdtukA5lSNTU1HDzzTezY8cOBg0axL59+5g1axYffvhhg3+E5vS5GNGQEBERcRtWq80rYW5jgSdLDaRttRkUFWfOH/fvAdGjbTLb3pEN91d52F5vwvAorarhVFFll9nV0RzKjWZOFVaSWlBJZnE1WSXVDRoXADqljCAvNYGeKoLOPgI8VPjplPjrVOhUshYbGhIJqBUydEoZWpUcjUKGWiFFLW99A6NDGRJLlixh6dKlHDp0iIiICBISEhg2bBjvv/8+d9xRfxW85vS5GNGQEBERcStGPeQntv4ujvqwWiBrj013oiARuOAr2CscgvrYjAv/OPCLsUlwX4hCazMmtH42dcx6MFusZBZXUVhR03rvo5NRXVNLdomBrJIqcsuM5OoNnCkzUlRpoqmLoFImxU+nxEdrS7S0P7QKPFUKPNRyPFVy+09XEjElEluOh1ohQ62QoZJLbY+zvyvckNTZoQyJ/v37c/nll/P222/bj82YMYPKykp+/fVXt/W5GNGQEBERcTu1NVCWCRV57bcGQ6lNYjtrjy0R9GLDRiID73DwCAZdEHicfah9bR4Krb+tZLpnKCh1dXQoKoxmMoqqu9w2UXdSU2slr9xIQYWRwgoTBRUmCspNFFeZKKmqocLo+rlTyCTolHK0F3gfNAoZKoX0rCfinMEgQ3nOcJBLUcilKGU240Ehk6CQSVHKJWjOjqVT2vpqVXI0cilKuQz52XZyqaRBA6a1r6FOZ57U1taSlJTEI4884nB8wIABrFixwm19wFYS22Q674bS6/WA7WSIiIiIuA1lMHhooSQdTJXtsQAIvcz2MFfZvCQlp2zJmcVpYKoAYybkZzY+jERu06GwPzQgV4NMQbRMQY0gw2CVYpXIEJDaKpBKpGelvM+51SUIkvO/XzRBPXO27J13JKIuPiABPGwPqxVqLFZMtVZqLVbMDg/BdswqYLEK53UvrIAZqGrZuqyA8eyjPpF3CbY/oQSJ7afk4tckSABjjQWg1XY2Om1IVFZWYrFY8PV1TPjx9/enrKzMbX0AFi9ezIsvvljneGRkI/FDERERERERkQYpLi7G29vb7eM6bUioVCrApvh3IZWVlQ0q/zWnD8DTTz/NP/7xD/vzsrIyoqOjycrKapWT0FkoLy8nMjKS7OzsSz7EI54LG+J5sCGeh/OI58KGeB7Oo9friYqKws/Pr1XGd9qQ0Gg0hISEkJWV5XA8KyuL2NhYt/UBmwFyzgi5EG9v70v+AwHg5eUlnoeziOfChngebIjn4TziubAhnofztJZKr0ujTpkyhe+++w6r1SZ6YjQa+eGHH5gyZYq9TWJiIhs2bHCpj4iIiIiIiEjnxCVD4rnnniMnJ4eZM2fywQcfMHXqVORyuUMYYvXq1dx5550u9RERERERERHpnLhkSHTr1o2DBw/Su3dvfv/9dy677DL27duHv7+/vU3fvn25/vrrXerTFCqViueff77ecMelhHgeziOeCxviebAhnofziOfChngeztPa56JT1NoQERERERER6Zh0njqoIiIiIiIiIh0O0ZAQERERERERaTaiISEiIiIiIiLSbFqnOLsbSUtL49ixYwQFBTFq1KhW2wfbkTAajRw6dIjS0lL69etHdHR0ve2Sk5NJSkoiLCyM4cOHu7UMbkdj3759pKWlceWVVxIUFOTwWmVlJTt37sRisTB27Fh8fHzaZ5GtTHV1NXv27EEQBMaMGYNWq63T5tChQ2RkZBAXF0f//v3bYZWtz6lTp0hKSkKpVDJw4MA6nweAoqIi9uzZg1qtZty4cWg0mnZYqXupqKjgt99+w9/fn8svv7zeNmfOnGHfvn14enoyduxYlEpls9p0dP78808yMjKYOnUqnp51C5fl5+dz6NAhtFotgwcPrrdNbW0tu3fvprS0lCFDhnRK5eSCggJ+//134uLiGDJkSIPtBEHgu+++Q6FQMH369Dqvt/g6K3RgFi1aJGi1WmHSpElCeHi4MHz4cKGkpKS9l9WqfPDBB0J0dLQwatQoYcqUKYJOpxPmzp0rWK1Wh3YPP/yw4OHhIVx11VVCcHCwMGHCBKGysrKdVt26JCcnC35+fgIgbNu2zeG1nTt3Cv7+/sKQIUOEkSNHCt7e3sIvv/zSPgttRb799lvB19dXGDFihDBt2jShX79+wtGjR+2vm0wmYfr06YK/v78wefJkwdvbW7j99tsFi8XSjqt2L1arVbj33nsFnU4nXHvttcL48eMFjUYjvPHGGw7tVq9eLeh0OmHs2LFCv379hLCwMOHIkSPttOqWU1VVJTz44INCSEiIEBISIlx99dX1tnv//fcFrVYrTJgwQejRo4cQGxsrpKWludymI7N27Vqhf//+Qo8ePQRASEpKcni9qqpKmDNnjhAeHi5cffXVwrBhwwQ/Pz/h+++/d2h3+vRpoW/fvkJMTIxw5ZVXChqNRli2bFkbvpOWkZubK9x2221CWFiY4OPjI/z9739vtP1rr70mKJVKITw8vM5r7rjOdlhDYtu2bQIgbN++XRAEQdDr9ULPnj2FBx98sJ1X1rp89dVXQkFBgf35sWPHBJVKJXz22Wf2Y99//70gl8uFgwcPCoIgCIWFhUJERISwcOHCNl9va2M0GoXBgwcLS5YsqWNImM1mITo6WnjggQfsx/75z38KQUFBQlVVVTustnU4cOCAIJfLhffee89+LDs7Wzhw4ID9+dKlS4WAgAAhOztbEASb8aXVaoUPP/ywzdfbWmzdulUAhL/++st+7L///a8gk8mEiooKQRAEoaCgQPDw8BCWLl0qCILN+LjxxhuFQYMGtcua3UFJSYnw7rvvCuXl5cLtt99eryGRlpYmKBQK4ZNPPhEEwfa/MWHCBGHSpEkutenofP3118KRI0eEffv21WtIlJSUCF988YVQW1trP/bcc88JWq1WKC8vtx+bOXOmMGLECMFoNAqCIAhr1qwRJBKJg3HekUlOTha+/PJLwWg0CiNHjmzUkPjzzz+F6Oho4fHHH69jSLjrOtthDYn77rtPGD58uMOxJUuWCF5eXl3qLssZ+vfvLzzxxBP25zNnzhSuuuoqhzbPPPOMEBER0dZLa3UeeeQR4e677xbS09PrGBLn/gmSk5Ptx3JycgSJRCKsW7euHVbbOtxyyy3CkCFDGm0zcOBA4aGHHnI4dvPNNwsTJkxozaW1KT/99JMAOBja69evF2QymVBcXCwIgs2jp1arHbxz27dvFwDh+PHjbb5md9OQIbF48WIhICDA4QL63XffCRKJRMjNzXW6TWehIUOiPo4cOSIAdsO7vLxckMvlDjdngiAI0dHRnfJmrDFDoqysTIiNjRV+/fVX4d///ncdQ8Jd19kOm3Bw7Ngx4uPjHY7179+f8vLyOrU7ujI5OTkkJyc7nIuGzk1OTk6jVVU7Gxs2bODHH3/kzTffrPf1Y8eOoVQq6dmzp/1YeHg4fn5+HDt2rK2W2eps376dyZMnk5eXx/r169m9ezdGo9H+utVqJSEhod7PRFc6D5MnT2bOnDnMmDGDDz/8kDfeeIMFCxawdOlSezGiY8eOERMTg06ns/c7lyvSlc7FxRw7dow+ffogk8nsx/r3748gCCQkJDjdpiuyefNmVCoVPXr0AODEiRPU1tbW+X+Jj4/vcp+Rv/3tb1x//fVcddVV9b7urutsh0221Ov1dSqVnVPD7EoXy8aoqanh9ttvp1evXtx+++32402dm66QbJiTk8PcuXNZt24dnp6eFBcX12mj1+vrlKiHpsvUdzYKCgo4duwYo0aNon///qSkpGAymVi3bh2DBg2iurqa2traej8TXek8SKVSRo0axY4dO1i7di1VVVXIZDKHL8L6/jd8fHyQyWRd6lxcjDPfl5fid+qRI0d47rnnWLRokT3hUq/XA9R7LtLS0tp8ja3FBx98wIkTJ/j8888bbOOuz0SHNSRUKhWVlZUOx849b6wEeVehtraWW2+9laysLP744w8HadNL4dw8+eST9OnTh8zMTDIzMyksLARg69atyGQyLrvssnrPAzRdpr6zoVar2bdvH8ePHycwMBCLxcINN9zA3Llz2bdvn/2zUd9noiudh++++44nnniC/fv3M2DAAAA++eQTpk2bRnJyMtHR0fV+JoxGIxaLpUudi4tRqVT2C+Q5Lv5OcKZNVyI5OZlrrrmGWbNm8eyzz9qPXwr/L+Xl5Tz++OP84x//4Pvvvwds3geDwcA333zDmDFjiIqKctu1pMOGNrp3717HtZKZmYlMJmtwO2RXoba2lttuu42DBw+ybds2oqKiHF5v6NzodDqCg4PbcqmtRv/+/QkJCWHdunWsW7eOX3/9FYCdO3eyZ88ewHYeqqqqKCkpsfczGAwUFhY2Wqa+s9G9e3fGjx9PYGAgADKZjBtuuIHDhw9jsVhQKBRERkbW+5noSufhjz/+oFevXnYjAmDWrFmYTCaHz0ROTo692jBARkYGQJc6FxfT0HcCnH/fzrTpKqSkpHDllVdy1VVX8dFHHzlsje/evTtAl/5/EQSBadOmcfLkSft3aFJSEgaDgXXr1nH69GnAjddZF/M62oxzSVOFhYX2Y9dcc02nyjBuDrW1tcKsWbOE6OhoIT09vd42S5cuFXx9fe1ZyFarVRgzZoxw0003teFK25b6ki1LSkoEtVotrFixwn7syy+/FORyuZCTk9MOq2wdFi1aJAwYMMBhC/A///lPISoqyv78gQceEOLj4wWz2SwIgiAYDAYhMjKyUyaPNcTSpUsFHx8f+w4NQRCEv/76SwCEHTt2CIIgCEePHhUAYfPmzfY2L7zwguDn5yeYTKY2X7O7aSjZ8lzi8aFDh+zHHn74YSEmJsb+uXGmTWehsWTLlJQUISwsTLjjjjsaTBgcOHCgcPfdd9ufnzx5stMmaTe1a+Mc9SVbuus622ENCZPJJAwfPlwYNGiQ8Pbbbwt33HGHoNVqhf3797f30lqVuXPnCjKZTFi8eLGwcuVK+2P37t32NpWVlULfvn2FUaNGCe+++65w0003Cd7e3k5lMHdW6jMkBMGWYazVaoWXXnpJWLx4seDl5SUsWrSofRbZSpSUlAhxcXHCDTfcIHz00UfCk08+KahUKuHLL7+0t8nOzhaCg4OFa6+9Vnj33XeFK664QoiOjnb4gujsFBUVCREREcLIkSOFFStWCMuXLxciIyOFiRMnOlww/va3vwnBwcHCsmXLhGeeeUZQKBTCxx9/3I4rbznr1q0TVq5cKYwbN04YOHCgsHLlSmH16tUObWbOnCl069ZN+N///ic88cQTgkwmq3NhdKZNRyYxMVFYuXKl8MorrwiAsHz5cmHlypVCamqqIAiCUFxcLERERAgxMTHCV1995fAdevr0afs4W7ZsERQKhfDQQw8Jb775ptCzZ09h0qRJncagMpvN9vcVFxcnTJ48WVi5cqXw008/NdinPkPCXdfZDl39s7q6mhUrVnDkyBGCgoK4//776dWrV3svq1VZuHCh3RV7IWPGjOHRRx+1Py8vL+fdd9+1K1v+7W9/IyYmpg1X2rYUFhbyyCOP8Nxzz9G3b1+H13788UfWr1+P1Wrl2muv5cYbb2ynVbYeZWVlrFixghMnThASEsLNN99cR8kuNzeXFStWkJmZSffu3Zk3bx4BAQHttOLWQa/X8/HHH9uVLUeMGMHs2bORy8+newmCwNdff83WrVtRqVTcfPPNTJgwof0W7QYefPDBOslvSqXSIZHOYrHwySefsGvXLjw9PZkzZw4jRoxw6ONMm47Mhg0b+Prrr+scv//++5k0aRI5OTk8+eST9fZ96qmnGDx4sP354cOH+eyzzygtLWX48OHMnTu306h8mkwm7rrrrjrHIyMjWbp0ab19vv/+ezZv3sw777zjcNwd19kObUiIiIiIiIiIdGw6bLKliIiIiIiISMdHNCREREREREREmo1oSIiIiIiIiIg0G9GQEBEREREREWk2oiEhIiIiIiIi0mxEQ0JERERERESk2YiGhIiIiIiIiEizEQ0JERERERERkWYjGhIiIiIiIiIizUY0JERERERERESajWhIiIiIiIiIiDQb0ZAQERERERERaTb/D6zzrXlAT6mNAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "fig, ax = plt.subplots(figsize=(6, 5), dpi=100)\n", "\n", "timeline = np.linspace(0, 140, 100)\n", "weibull.plot(\"sf\", timeline, label=\"Weibull sf\", ax=ax)\n", "gompertz.plot(\"sf\", timeline, label=\"Gompertz sf\", ax=ax)\n", "loglogistic.plot(\"sf\", timeline, label=\"Log-Logistic sf\", ax=ax)\n", "exponential.plot(\"sf\", timeline, label=\"Exponential sf\", ax=ax)\n", "\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "9bbed32b-3bbb-409a-ae41-df7ba6a96f50", "metadata": {}, "source": [ "### How to choose the best parametric model ?" ] }, { "cell_type": "code", "execution_count": 10, "id": "428b0bb9-0df5-4423-85ea-68e75c01c333", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fitted params : [0.00390781, 0.0757955]\n", "AIC : 2485.57\n", "AICc : 2485.57\n", "BIC : 2498.25\n" ] } ], "source": [ "print(gompertz.fitting_results)" ] }, { "cell_type": "code", "execution_count": 11, "id": "c143119d-8e28-441f-b1d6-b106ebfcccd1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fitted params : [3.72675, 0.0123233]\n", "AIC : 2493.72\n", "AICc : 2493.72\n", "BIC : 2506.41\n" ] } ], "source": [ "print(weibull.fitting_results)" ] }, { "cell_type": "code", "execution_count": 12, "id": "da55d284-3cfc-4867-83ec-71eeb0b296df", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fitted params : [3.92212, 0.0128701]\n", "AIC : 2497.81\n", "AICc : 2497.81\n", "BIC : 2510.49\n" ] } ], "source": [ "print(loglogistic.fitting_results)" ] }, { "cell_type": "code", "execution_count": 13, "id": "5eba4b6d-5f25-4020-9980-e747ad9fd263", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fitted params : [0.00463636]\n", "AIC : 2602.52\n", "AICc : 2602.52\n", "BIC : 2608.86\n" ] } ], "source": [ "print(exponential.fitting_results)" ] }, { "cell_type": "markdown", "id": "5e5ef782-b5ac-45c2-96f4-fa9c1bf3fd1b", "metadata": {}, "source": [ "Best model minimizes the AIC. Here Gompertz is selected\n" ] }, { "cell_type": "markdown", "id": "7be35a8d-c97f-4ff8-bb0d-da0302552228", "metadata": {}, "source": [ "### Evaluate the performance of maintenance policies" ] }, { "cell_type": "markdown", "id": "a15efe84-07c0-4319-9312-f2acca42da04", "metadata": {}, "source": [ "Let's compare two maintenance policies : \n", "\n", "- corrective replacement, *aka* Run-To-Failure (RTF)\n", "- Preventive Age Replacement (PAR)" ] }, { "cell_type": "markdown", "id": "f13c8115-6e15-4668-b354-a647e1cf92d2", "metadata": {}, "source": [ "Cost structure :\n", "\n", "- cost of a preventive replacement : $c_p = 300$ k€ \n", "- cost of a replacement on failure : $c_f = 1100$ k€" ] }, { "cell_type": "code", "execution_count": 14, "id": "124dbe24-98dd-46aa-8a8f-d902800602f4", "metadata": {}, "outputs": [], "source": [ "cp = 300 # k€, cost of preventive replacement\n", "cf = 1100 # k€, cost of failure\n", "discounting_rate = 0.04" ] }, { "cell_type": "markdown", "id": "c4ec4f10-253f-48d9-9ed4-c768f39330d4", "metadata": {}, "source": [ "### Creating a Run-To-Failure policy" ] }, { "cell_type": "markdown", "id": "1d0e9820-c1fd-4653-9818-966ad9e17fc3", "metadata": {}, "source": [ "ReLife has a module called policy that contains all the maintenance policy constructors" ] }, { "cell_type": "code", "execution_count": 15, "id": "32ef1a07-9551-4864-b2bb-cc94878b297c", "metadata": {}, "outputs": [], "source": [ "from relife.policies import RunToFailurePolicy\n", "\n", "rtf_policy = RunToFailurePolicy(gompertz)" ] }, { "cell_type": "code", "execution_count": 16, "id": "a85983fa-391a-4aaf-b28d-b1da2f57dbcf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Asymptotic expected equivalent annual cost for RTF : 4.49 k€\n" ] } ], "source": [ "rtf_asymtotic_cost = rtf_policy.asymptotic_expected_equivalent_annual_cost(\n", " cf=cf, discounting_rate=discounting_rate\n", ")\n", "print(\n", " \"Asymptotic expected equivalent annual cost for RTF :\",\n", " round(rtf_asymtotic_cost, 2),\n", " \"k€\",\n", ")" ] }, { "cell_type": "markdown", "id": "196d4ace-e8dc-45e8-a1c9-558247efba2e", "metadata": {}, "source": [ "### Creating a preventive age replacement policy" ] }, { "cell_type": "code", "execution_count": 17, "id": "a75792bc-b67b-4a63-8d64-be492dabcccf", "metadata": {}, "outputs": [], "source": [ "from relife.policies import AgeReplacementPolicy\n", "\n", "par_policy = AgeReplacementPolicy(\n", " gompertz,\n", ")" ] }, { "cell_type": "code", "execution_count": 18, "id": "9e583c74-aa50-40a3-bec9-f5790f5c212b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimal preventive age of replacement : 55.22\n", "Cost for optimal ar : 3.57 k€\n" ] } ], "source": [ "optimal_ar = par_policy.compute_optimal_ar(\n", " cf=cf, cp=cp, discounting_rate=discounting_rate\n", ")\n", "print(\"Optimal preventive age of replacement :\", round(optimal_ar, 2))\n", "print(\n", " \"Cost for optimal ar :\",\n", " round(\n", " par_policy.asymptotic_expected_equivalent_annual_cost(\n", " ar=optimal_ar, cf=cf, cp=cp, discounting_rate=discounting_rate\n", " ),\n", " 2,\n", " ),\n", " \"k€\",\n", ")" ] }, { "cell_type": "code", "execution_count": 19, "id": "a6985505-6669-4863-9bc3-1d7e4e7c8ae6", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "\n", "ar_range = np.linspace(23, 112, 1000)\n", "plt.plot(\n", " ar_range,\n", " par_policy.asymptotic_expected_equivalent_annual_cost(\n", " ar=ar_range, cf=cf, cp=cp, discounting_rate=discounting_rate\n", " ),\n", " label=\"PAR asymptotic EEAC\",\n", ")\n", "plt.plot(\n", " optimal_ar,\n", " par_policy.asymptotic_expected_equivalent_annual_cost(\n", " ar=optimal_ar, cf=cf, cp=cp, discounting_rate=discounting_rate\n", " ),\n", " \"o\",\n", " label=\"Optimum\",\n", ")\n", "plt.axhline(\n", " rtf_asymtotic_cost, label=\"RTF asymptotic EEAC\", color=\"C1\", linestyle=\"dashed\"\n", ")\n", "\n", "plt.xlabel(\"Age of preventive replacement\")\n", "plt.ylabel(\"Asymptotic cost (k€)\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "03900c0a-1267-42b0-b64c-144bbe880565", "metadata": {}, "source": [ "The best policy is the cheapest : **preventive age replacmeent at 55 years.**" ] }, { "cell_type": "markdown", "id": "6c22b8bc-b331-4751-8cd7-0a698148e464", "metadata": {}, "source": [ "### Projection of the consequences " ] }, { "cell_type": "markdown", "id": "6c123cb0-4eb2-47e6-9703-1e21886e75f6", "metadata": {}, "source": [ "Computation of the expected numbers of upcoming replacements. This information is obtained by solving the renewal equation [4][5] (***no simulation*** :=)) \n", "\n", "$$\n", "\\text{Solving :} \\quad m(t) = F(t) + \\int_{0}^{t}m(t-x)dF(x)\n", "$$\n", "\n", "where :\n", "\n", "$$\n", "m(t) = \\mathbb{E}(N_t)\n", "$$\n", "\n", "$N_t$ is number of replacements between $[0, t]$" ] }, { "cell_type": "markdown", "id": "848bfbb5-f339-44c9-b0a7-2e68819c25a4", "metadata": {}, "source": [ "ReLife implements a fast solver of this equation. To project the upcoming annual replacements for the optimal PAR policy, a new object is created with optimal age of replacement and the current age distribution" ] }, { "cell_type": "code", "execution_count": 20, "id": "272f3251-6bbc-4e91-9a4b-3d5c4f06e624", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([56., 56., 21., ..., 42., 42., 37.], shape=(4000,))" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "current_ages = lifetime_dataset[lifetime_dataset[\"event\"] == False][\n", " \"time\"\n", "] # ages of the assets still in operation\n", "current_ages" ] }, { "cell_type": "code", "execution_count": 21, "id": "09e2668f-5f6e-496f-8dca-a8b6373c26d2", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/grisonwil/Code/relife/src/relife/policies/_preventive_age_replacement_policies.py:295: UserWarning: \n", "Some ages of replacement are inferior to assets ages.\n", "You may change ages of replacement.\n", "\n", " check_impossible_replacements(ar, a0)\n" ] } ], "source": [ "timeline, nb_replacements = par_policy.annual_number_of_replacements(\n", " 75, ar=optimal_ar, a0=current_ages\n", ")" ] }, { "cell_type": "code", "execution_count": 22, "id": "bf271c85-87c5-4f8f-a11f-0a8dc979929a", "metadata": {}, "outputs": [], "source": [ "adjusted_ar = np.where(current_ages > optimal_ar, current_ages + 3, optimal_ar)" ] }, { "cell_type": "code", "execution_count": 23, "id": "a19882e2-95f7-42bc-8a4f-b1edeab0b84e", "metadata": {}, "outputs": [], "source": [ "timeline, nb_replacements = par_policy.annual_number_of_replacements(\n", " 75, ar=adjusted_ar, a0=current_ages\n", ")\n", "timeline, nb_failures = par_policy.annual_number_of_failures(\n", " 75, ar=adjusted_ar, a0=current_ages\n", ")" ] }, { "cell_type": "code", "execution_count": 24, "id": "089d30a4-4da2-405a-87ce-882e8bc06d54", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(75, 4000)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nb_replacements.shape" ] }, { "cell_type": "code", "execution_count": 25, "id": "ed19b6a8-d928-464c-ae8f-b4fa3fe9244a", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(18, 5))\n", "ax.bar(\n", " timeline + 2026,\n", " np.sum(nb_replacements, axis=-1),\n", " align=\"edge\",\n", " width=1.0,\n", " label=\"total replacements\",\n", " edgecolor=\"black\",\n", ")\n", "ax.bar(\n", " timeline + 2026,\n", " np.sum(nb_failures, axis=-1),\n", " align=\"edge\",\n", " width=1.0,\n", " label=\"failure replacements\",\n", " edgecolor=\"black\",\n", ")\n", "ax.set_xlim(left=2026)\n", "ax.set_xlabel(\"Year\", fontsize=\"x-large\")\n", "ax.set_ylabel(\"Expected nb. replacements\", fontsize=\"x-large\")\n", "ax.tick_params(axis=\"both\", labelsize=12, width=1.0)\n", "plt.legend(fontsize=\"large\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1409024e-fc3d-4b5b-8058-fdd6bf51e4ee", "metadata": {}, "source": [ "### References\n", "\n", "[1] : Gertsbakh, I. (2002). Reliability theory with applications to preventive maintenance. IIE Transactions, 34(12), 1111-1114.\n", "\n", "[2] : Park, C. Contemporary Engineering Economics, 6th ed. Pearson, 2016.\n", "\n", "[3] : William G. Sullivan, Elin M Wicks et C Patrick Koelling, Engineering Economy. 2009\n", "\n", "[4] : Resnick, S. I. (2013). Adventures in stochastic processes. Springer Science & Business Media.\n", "\n", "[5] : Aven, T., & Jensen, U. (Eds.). (1999). Stochastic models in reliability. New York, NY: Springer New York." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.0rc1" } }, "nbformat": 4, "nbformat_minor": 5 }