cours_04_D.ipynb

{"cells":[{"metadata":{"hide_input":true,"hide_output":true,"init_cell":true,"run_control":{"marked":false},"trusted":true},"cell_type":"code","source":"# Permet de tout executer au lancement du notebook + conserver le notebook actif pendant 2h\nfrom IPython.display import Javascript\nfrom masquer import *\nJavascript(\"\"\"\nfunction repeter(){\nIPython.notebook.kernel.execute(\"a=1\");\n}\n// execute a = 1 en python toutes les 8 minutes pendant 2h\nlet timerId = setInterval(() => repeter(), 4800);\nsetTimeout(() => { clearInterval(timerId); alert('fin de cession'); }, 7200000);\n\n// Supprimer la taille limite pour la sortie d'une cellule\nIPython.OutputArea.prototype._should_scroll = function(lines) {\n    return false;\n};\nIPython.notebook.kernel.execute(\"url = '\" + window.location + \"'\");\n\n// Exécuter toutes les cellule du notebook\n    require(\n        ['base/js/namespace', 'jquery'], \n        function(jupyter, $) {\n            \n                \n                jupyter.actions.call('jupyter-notebook:run-all-cells-below');\n                jupyter.actions.call('jupyter-notebook:save-notebook');\n                Jupyter.actions.call('jupyter-notebook:hide-header')\n\n        }\n    );\"\"\")","execution_count":2,"outputs":[{"output_type":"execute_result","execution_count":2,"data":{"text/plain":"<IPython.core.display.Javascript object>","application/javascript":"\nfunction repeter(){\nIPython.notebook.kernel.execute(\"a=1\");\n}\n// execute a = 1 en python toutes les 8 minutes pendant 2h\nlet timerId = setInterval(() => repeter(), 4800);\nsetTimeout(() => { clearInterval(timerId); alert('fin de cession'); }, 7200000);\n\n// Supprimer la taille limite pour la sortie d'une cellule\nIPython.OutputArea.prototype._should_scroll = function(lines) {\n    return false;\n};\nIPython.notebook.kernel.execute(\"url = '\" + window.location + \"'\");\n\n// Exécuter toutes les cellule du notebook\n    require(\n        ['base/js/namespace', 'jquery'], \n        function(jupyter, $) {\n            \n                \n                jupyter.actions.call('jupyter-notebook:run-all-cells-below');\n                jupyter.actions.call('jupyter-notebook:save-notebook');\n                Jupyter.actions.call('jupyter-notebook:hide-header')\n\n        }\n    );"},"metadata":{}}]},{"metadata":{"slideshow":{"slide_type":"slide"}},"cell_type":"markdown","source":"# <span style=\"color:red;\"><center>Chapitre 4 : Algorithmique</center></span>"},{"metadata":{"slideshow":{"slide_type":"-"}},"cell_type":"markdown","source":"## D. Algorithmes d'optimisation"},{"metadata":{"slideshow":{"slide_type":"slide"}},"cell_type":"markdown","source":"### Introduction"},{"metadata":{"slideshow":{"slide_type":"subslide"}},"cell_type":"markdown","source":"Un **problème d'optimisation** consiste à **chercher un optimum**, c'est-à-dire un **maximum ou un minimum**. Il existe énormément de situations où l'on souhaite optimiser quelque chose :\n- minimiser le chemin pour aller de A à B,\n- minimiser le coût d'installation d'un réseau,\n- maximiser le nombre de passagers dans un avion,\n- maximiser les bénéfices d'une entrepise,\n- minimiser le temps passé à faire ses devoirs,\n- maximiser ses résultats en NSI,\n- ..."},{"metadata":{"slideshow":{"slide_type":"subslide"}},"cell_type":"markdown","source":"Cependant, **sans contraintes associées**, les **solutions** de ces problèmes sont **triviales et/ou sans intérêt** :\n- le plus court chemin ? \"la ligne droite\",\n- reseau le moins cher ? \"pas de réseau\",\n- maximum de passagers ? \"pas de sièges\",\n- maximum de bénéfice ? \"augmenter indéfiniment les prix\",\n- minimum de temps sur les devoirs ?\"ne pas travailler du tout\",\n- réussir en NSI ? \"???\",\n- ..."},{"metadata":{"slideshow":{"slide_type":"subslide"}},"cell_type":"markdown","source":"Pour définir un **problème d'optimisation**, il nous faut donc :\n- une **fonction des variables** du problème dont on veut **optimiser** la valeur,\n- une **série de contraintes** auxquelles doivent obéir les **variables** du problème.\n\n**Exemple :**\nComment relier entre eux tous les ordinateurs de mon réseau en utilisant un minimum de longueur de câble ?  \nIl faut minimiser une fonction qui renvoie la longueur de câble utilisée en fonction des ordinateurs que l'on choisi de relier. La seule contrainte est que tous les ordinateurs soient reliés à au moins un autre ordinateur du réseau. "},{"metadata":{"slideshow":{"slide_type":"slide"}},"cell_type":"markdown","source":"### I. Les algorithmes gloutons (*greedy algorithm*)\n\n#### 1. Un exemple visuel\n\nVoici une représentation en 3D d'une surface en relief.\n![maxresdefault.jpg](attachment:maxresdefault.jpg)\n\nImaginons que l'on cherche **le plus court chemin pour aller du point de départ D au point d'arrivée A**.  \nAjoutons une **contrainte**, par exemple sur le dénivellé total : on ne veut **pas descendre ou monter de plus d'une certaine hauteur**.\n\nQuelle **stratégie** (algorithme) pouvons nous adopter pour trouver ce chemin 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LUXkpcyzo6q6ejru7f7VAFbwx410fxvYtcaNqmm6tb95LO6Sdf++kZq0hIuB823d6/LXC+Iv2cvBXijUGvLjw5p9vfbty3VlmzuFPr5sTK1Z5+C/iPw383hv4ga9bp/z7axGmqwfTc22Vf+/jUAeleYq7dzbfr8tOrzI+KPiZ4V/4/vDOg+Jrdesuj35s5j7+VP8AL+Un/wATT1/af0LSX8vxFp3iTwlL/wBRXTZVib/dmi3x/wDj1AHpVFY/hjx7onji0WbR9W0vVY/79pdJMv8A46a1ml27vlZvpQA6im717fN/wKnUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAOjp1Njp1AEdFFFABRRRQAUUU3d/nNADqKa8qp1bavr/AA/nVHX/ABPpvhfTHvNSvrXT7OP789xKsUa/i1AF7zF/vfXmjzAu7d/D/wB815Xe/tS2PiCVrfwXoeueNJl+XzrKDyrFf9ozvtVl/wBzdWff6f8AEzxxHv1bXNL8F2bNt+z6Gn2q+x6NcTLtX/gEdAHqHifxxo/gjS2vNY1TT9KtI/vTXdwkSL+LGvOrz9qOHxHcGDwX4b8QeKpO1wsX9n2P1M020sv+4rVX8P8A7P8A4Z8P6h9vuLOTXNV+8uoaxO19cq3+zv8AlX/gO2ur2rHCyLtVf7mz5fy+6v8AwFaAOJvtK+I3j3/kMeJ7Pwla/wAVp4et/Mudv91rmZfl/wCApSeG/gb4Z8J6h9uj01b/AFRvmOpao7X13u/vb5dzL/wHbXZvt/h+Wq8kjUB7z0RDcSN5qbmZtq7VyzNt/wCAtuqGeTKbdjbvQKzUlxI32hP9r5R/tNXyX/wUO/4K/wDwy/4J/wAA0u+8zxl47vEzD4Y024Tz40xnfdyNuW0XkfeRpf8AZrOtUp0ouU3Y7cvy7E42qqGEjzzfQ+q5JPvfMq/Nt5ZV3fNVdyDjhvm9v87q/CX4hf8ABwR+0n8WPEXl6Sng/wAA6PdvuitdO0z7ZdQxMvy7p7hm+b3VU/3ay/8Ah5p8XPgTfW974E+KXibxVdahawzapZ+KIF1GBJlLNIBG/wB1f+ubL93/AIFXzeI4swVOagj9pyn6PnEmOwUsRbln0ifux4p8R2fhTQrzUtQuI7Ox02OS6uZZTsEMSKWdifQKCfwr8+f+Cd/7e/xS+JX7UuiRfE/W/O8D/tEeGb7xj8MtPl0u3tH0KO11CYf2eZIo1eZ306S0uC0rPgqwU45bzT4S/wDBZbw7+318NtW+B/x2tbz4T/8ACwbB9BfxZ4ZvUitGE48toGFxHIlo0yloxIQ4wxzsG0j6s1L/AIJU/Ajw/wCLfhx4i8FeEdH+HPiL4Y6pDqun6r4O0yw0+71RUhaE2t5N9nY3MEqOwcnDuTkOp5r3MDmFCtL28X7mi+TUlJ27p8kk9/da2kz8p4m4ZzHJarwWNpOE9/nFxcUn2l70WttU+h9RyVTvLyO3+Z22rWXqGuSXG5VXy19qy55PM++zM3rWNTMFtE8P2Z6l8HfFFvHp99u8zY064fb8v3a9Gs9Xtrxv3dxHu9K8d+D8n/EtvP8Aruv/AKDXZN88jbvveo+WuaOaO/vB7M71Pu1FcffT/rpXI2eqXNmy7JpFX0Lblq/H4sm8xFmjjcb+o+Vq7aeZUmTynT+ZTqy7fxNa3Em35o296vR3KzDcjq6+zV1U60GSTVFb/wDHxMf9pV/8dpfm/wBqm2rbpZP98f8AoNaATUUUUAHl+Z7c9sVXhhWSObcqt5jbT/F8v/Aqs/d2/wC9UNr/AKt/9pm/9CoA5DxT+zz4N8Xz/aLrw9Yx3e7d9ptFaznz674trNWT/wAKP17w3/yLfxC8SWaf8++qrFqsH+6N4Eir/wADr0qigDzUeJPij4UX/TvD/h3xVb5/1mlXz6fPt9fKn3Ln283/AL5+7Ui/tQaLo5CeJNL8TeE3/v6rprrB+E0W+P8A8er0SSPP8PzetReWHuWRvusuD/Fu+u6gCl4Y8faH42tlm0bWNL1aNujWl0kv/oJrW80VxHin9nnwb4vuPPvPD+npef8AP3ap9juc+u+LaxrKHwO1zw5g+GfH/iKxVesGqKmqQfT58OP++qAPS1uFkj3L8y0+vL/7d+J3hJ/9M0Hwv4qj6FtMu30+6Pvsm3Kfwkp3/DT2j6INvibR/FHhI7trSanprtb/AHSf9dFvjx9WoA9OorN8N+K9N8Y6Qt9pd9a6hZyfdlt5Vkj3DqMr3rSoAKKKKACiiigAooooAdHTqbHTqAI6j89fNMf8W0N/31u/wqSvnv8A4KdxeJrX9hv4lal4V8Xa14R1jQdBvdVS70dY/tsqwW8snkRO4bymdlC+aq71UELy2aAPf/tK7Vbb976U3+0Ycfe/2s9tvr/u1+dPx8+OniLRP2odeks/GviCD4haT4j8H6f4H8Lx6nNBZ69pd5bRSai32Hcy3SOz3u+d1doPsqbWTY27o/8AgmX8T77xz8V9PtbLxz4m8YW+sfDOy1zxz9u1eXUv7C8TveNE0W12dbKdo/tCNaxbFVbVMRj5WoA+7dV8QWXh+x+1X11b2EHeS5lWJV/Fq85u/wBqXSdXuHtfCOm6142ut20HToNtnG3+1cPtj6/7TVxl18PNDvv2vptL1rT7fVLG40lLyygvd1xFbyruVmCuzKf9U38K17tFbRWduiQr5Mca4VIxsVR9F+X/AMdoA81fTPid8QNx1DU9H8D2bdYtOia81Bh6ea+2Nf8AgKtT9F/Zt8L6feJf6lbXXifVY23Le65O19Krf3lV/wB2n/AUr0KTbtXb8rL92oJv4ttAEMm2GNURFSOPhYx/q/8Avlflqpdf8e7/AHV+XcuBtqeSqt5ukVlH92gBjFmjXn5ttRMdtJHJuhVt21f4v9n/AGm/2aq6jfx6daPcXMsdvbxrveWVtiRjbuyS38O3+L7tEuWPvDpQcpqEHzMS4mWP5mZVX3bb8392oZywZgd2eONvzfNXxX+1n/wXq+Bv7NU95puj6tefETxJbhkNtoDr9ljbb9yW7Pybf9zfX5x/Fj/grP45/anvPEfiW/8AiH4i+Gv2aAQ6D4e0O8lS2AZcHzXXa0jd97fxM38NeDj+IcNhtndn6vwb4QZ5ns3Pk9lBa3n19Efo1/wVX/4K1+G/2I/A194f8N3Vlr3xWvocWenqfMi0jd924uj91Nv3lT7zNt+WvwQhGrfEzx3qniLxDeXmsa3rFw95f3N2fMluZnbduZv4mZj3ptybzX/EN5e3M1/fzXk5klurmVppJz/fkZvvt3+avRvg/wDD+TVdahnB3LHJvdv4ZDu61+e5zn08Vpsj+yPCrwdweRpVZR55rVyZ92/8E6v2IPDNx8O01TxFYWsl9cMG2SRblk3dirf3VBb/AIDXJf8ABR39mzSfCF0uqeHVRYrH5vKXGZEZe/8AwGvXfgH8U/8AhC/DcKSN89qjMwLfxMu1f/Hf/Qq8N/ba+Lp1zwvMiTN5mXt1bd97cyrtP/ASv/fLVzYx4f6koNe8ezw9Szd8UzxCm/ZX+H7J8ceLfDdvremTRrDujmVgc/KvThtvev1x/wCCGf7UE3xw/ZDk8JapeSTeJ/hfcf2TK8reZPNYPue0lbd97b88W7/phX5ShFfTol+8sfy8fNXsn/BKP4yX37Pf7eegzs0kfhvxlt8Oau/mful891a2f/eSdF/77aubhrMvZVfZSehz/Sa4Gw2PyP8AtGlZVKep+4VxIPMfau1Vbav+7VeaSprjdHuVl2/w4+9VWSRa/Rvebsf5ra6Pudx8IZM2N8v/AE3X/wBBrtFLeY3+9XDfCORfsN83zbd6tv2tt/u7d1dr5n7xqcqfLICysuKJHX5P9+ot9Ok+8v8AvbqIgXlk+ZqkjXZJvRmRvUfLVZZM1ZjkWn7SUfhAv2esXNvt3TNIPR6n0/xFv3tJGy/P/B92s+Nt/wD31uplmu1GZf4mb/0KuynjJxJ9nE6S31S1m+VZF3elWfMX+Hla5lY1z93dUtvI9u25ZGT/AMer0KeOj1JlE6P/AJZ/+PVFZ/8AHuv+8zf+PVlf2xcRxszbX+Tk/wAVWtP1iFo0RgyfL3+7XRHEQkZmhRUcdwsn3GV19mp3mfw/xVrzRAdUUJ3TyN/tKv8A47Uj/dqOzbcZG/2qYEtFFFADZE3D7xX8B/WoZysEckj/AHI0Ysfb7xH+ferFcj8ffEjeDfgj4w1ZW2tp+jXc4P8AtLE22gDlf2HbPH7N+k37bd+uXV7qzY/6b3Urr/46y165XG/s9eGV8GfAfwZpIXb/AGfolpEw91hTd/49XZUAFFFFABRRRQAUUUUAOjp1Njp1AEdVdQsI9TtJLeaOOS3mBWSORQ6SDHQg/wCeKtUUAZbeG7V9Yhvvs8DXlvGY0mKDzURmVtiv1VOPu/5LtO8O22lSytawwWrXEnmzNHGEaZyMM7erHA5b5utaVFAHiXxjUaB+1L8ONQb/AJiVvc6bJj7v+f3r16/cSferyT9stf7Js/BeufdfR/EEPzj+FZFZW/8AQVr1eSRfm2/NubdQBWuGyzVDI2amm/vVTmk+ZvmoAZJJ96oZG3bV/ib5V/2qLiVY/vsqf8CrzP8AaW/aR0X9m34bXWv6nunkLeVZWW/ZJez/AMESf7Pr/dX71cuLx1DCUniMRLlhHc6sDg8Rja8cLhoc056Iw/2vf2z/AAX+xf8ACxvEnizUl8yRmTT9OtyGvdTl+8IrdN3/AAJn+6q1+Gv7ef8AwUl+KH7cup3VnrV5/Yfg1pWkg8O6bI6W7L/CbluPtD/xZZdvzcL/ABV237Vlr4n/AGx/jFdeKPEevSXGtXTMltp8tvtt9Its7vLj2niJW+bd95mZt391eJg/Yl15bu2gXUNOd7x/LWV4WVV56v12/N/F91q/Dc+8SsPip+zw8+WH5n98eEnhTwzkGFjjc9lz4jrdaQ/zfmfOMHgpBJGqJHcyNwqbfu+6/wAP/fS1aj8Ew24WYP8AvF4CHay/7uP4a+trP/gm9q/h2za8vNctFtmdYpkjtCz7mb5fvbf4qn1z9hvT/Bl7Hcatql3fNcOEnjt1EEUfPyt/F/FtX/gVfG4jirDw1nM/eqPFHDUXyYePO/yPlCDTkQq22ONcf6oEfN83Nd94B8DeJYbr7Vp2l3ws8eYWdPKT/gO/bu3V7xp3w08P/D2+byNMs7dLnd+9dBLJv27WXLf3v9n+9U8Ym1LR5oZP3UdjtkUOu6Vv4l/i+X5SK8DEcWqa5qC+86sRxc5Q5MNCxB4I+GnjnWtCeaQafp8t5Csv726LN8pVV+VQy/dK1yfin9n3WPEPiaG31TXLNI5N90/2aFmdnT5V5b/f/wDHa9y8Oa4FezbtuMQ+X+Fk45/3lFc/rEnmeOlZukaFPxZXb+grxqnGGY1Zaux8TQzTFxqO9o69jzTTP2cvDmg6fds8E2oT2pk2NdP8v8LDha5z9oTw+2nW6XWlKtlNHF5tq8SrH5M0TebE3y/xKy7q9rkjWa+1CFvuyMu75T/d2/0rg/iBpa6l4UhkK7nt252/N/Ay/N/dXpU5XnOI+uQqzm2Y8RRq5hgalKv7y5ep+r/7OPxQX9oj4E+EfGdqisniTSbe9cIyttmZdsq/7O2VZV+b+7XWahLZ6PIkMnnXV3MjSxW0X+skVf4lVtvy/d+9/er8+f8AgkB+1rfeBvgPrHw5utNW+HhXXppbK7e4/d29lcjerMij5lSUv/u7q+y7f4r6fazt9quIzrV86z29za/MrfxJEvzbUjXP3XZd27dX6l4heMmEyDLVRy1e0xU47PZeZ/nTiuHakMxqUXpBSZ6f8HPig+m6xNBrFrpdvpeouqRCNGaWzlX5f3x+6i7s/N93/wBCr2aTRbaaNn/1bM3UOrfe+7XxL4/+I73U7R7Psd/fMoOmOn+j3TqPldn3bfl/vbv4du1mrg3+MfxM+H5un0XXtUt/LbM32K783T7Pd82xIZflZ+f/ANn7tfD+Hn0gsR7F0+IaXNfZx0M8dkHWg9D9Dp/Ds0f3Hjb+6Hba1VJ90MiiRGj+bClh8v5/dr8lv2nP+CyPxw+C2jPbWeuW8d9eKsFulxY2skuWDbHf5Nq7tprxeLXf2hv2trmTV/iJ4j8V+INUs7bfocmk30WmW+lXDdGaKLb8275d+1m+Vq/dP+IhZNLCrGtuCl3PT4T4Fq5ziHQqVVTUftM/dnJX7wZf98baljmT7278PutX4Y6Z8Jvjd8LY4JJvin8UrPWPvS3Fn4qvWt1lb5trl5WVm5/ut/FXrfwT/wCCm/7QX7OeufZfF2oWfxK0SNtssWsN5GoRp/fhuYkXdu/2lavLwfibkuKqOnGpYyzDgTHYeTjSfOo9V18z9e13L/3zRZyfuV/4F/6FXj/7K/7bPgP9rPQvM8N6j9n1a3i33ej3e2O+tfVti/fT/bXcv97a25a9a0+aOa33Iyum7aroysrf7rLX6FhcRTxFJToPmR8diMPUoycaqtYvxf0p9V13eZ0+Vfvf7NWI+grbXqjKOsbhccW7/wC7UlvG32dfm/hqO6/493/3dtTQ/wCrVf8AZqiJCxxr5u77re3y1ZjvJo/uyMy+j/N/49UCfep9dUakiOUu2+qsv341+qfNRp95HJC3z/OzN1/3qgabyY2P/fWflptmFNuqt5bd/vf7VdVPGS6jlHsai/Mv973o+X7u75qox2/lt8rNH7VN5kkfVlkX/wAerojiIsXTmLFeS/tvSNJ+zhrlgm5pdcntNJRB95vtF1FEy/8AfDPXqkd4v8Ssi/8AjteT/tQXCa5rnwv0SP8Aef2h4wtbh8f3bWKW5/8AQkStoyUiT163gW3t1jQYSNQqj/dqSmx/c2r0X5fyp1UAUUUUAFFFFABRRRQA6OnU2OnUAR0UUUARvcrB99ti+p+7+dNW5X734H+Jlb0/z6Vxf7QWqaz4a+CfjLUPDN3pen+JLHRbybSrrUCiWtveCFzE8zsNqx7wm4t8uM5r85/gl+1F8RPH/wAWdB+Fl/8AEL4h+HPCPiC90htQ8Uarf6TLrlrc3OjapfNZQ3Nv5ttDHPJZQSxK26TynZVVUdNwB98/tkaedU/Z81iQLuksHhvVGRn5JEyf1Ndf4Q1ddY8F6Pe5ytxZQyZVt38C14h+zf4p8QftSf8ABOXQta8Qas19qmuaHd+dewwpBHrCxPKkN3tUfKs8ccUv7v5f3vy/LXf/ALM+tL4k+Avhm5ZpGb7LsYH+HazLt/7521z4jERpRuwO2uLxfur87f3RVWbfJu3fIvv96rVx+73bNtUNTv4dPspLi4mjgt7fczySNtWNVXcxZm/hrw62ZyUW0dVKk5OyMD4j+NtK+F/g7Ute1q6hstN0+DzriaT72A33f725ugX+Jvlr8nf2sP2jtY/aS+JN14kulmGmWoNrpWlk/wDHpCxzuT/po/V9v3lO37qqzek/twftdf8ADUXimbS9JuJIfBWhyttQjY15Mvym4df4l6qi/wAP3vvHanlnwr+H8+oavBc3ysyMdunvL/yzX+83/TRl+bdX83eIHGVTH1ngcPL92t/M/rTwt4Io5JhFnGZL99P4I/yL/Mk+HnwvjvtLbULh/wDSJtvlygbmVt3yRbf7qsdrL/EzfNXu3wj+C9vq1hMt/axrdSfuL2D+GMbdyov+yq/db+FtzVX+HHgNbHVI9Wjhk/slm+VNv/LX7rXW3/aXcv8AwLd975a9a8SW9vp1r51uqzJbxD+0Nh/4+LVvn8n/AHm+/wD7u5f4q/PqOFUkpS6HXxRxVWrVXTovc881LR7e3s5o5pPMSziZbN5V/wBZbsNvnvu+8235P+At93dXzr8RPEFvFp99pl5u/c7oFT70rI33Nv8AeZfl+b/Zr2r9onx4scn9pQv5n2PPmOn/AC0hZstkf3VXbL/+1XzN4m1R9V8TQapIym3ZmtYh97amGZHb/a3f+hLXHirSmfW8FYGpGmqtd7nO3qSXumLe3TZuoXV2/uwlW2so/wA/xUkTr/b9wrfduhkAtt3bW2n+Y/75rX0fwjqHjO/urOxtLi8F0iMSq/Iu4Mrtub5fvBfzrsvBv7O/y6Xea9deY0zbHtrU7V3bGyHfH95f4VrjxGOw9KPvz+R+kYrPsHgYe9LmZ5/p9+yeHt0ZzcW8e9VHzNuRlzx/wGugsPh3r3ivUbq9sdLvJoGvkCvs8tdqjb95v96voz4eeEdH0Bbq1sdPtLRVm42xBm2S7W5J/GrnhuVpPhvDcyNvkZ1mbn+JZtv3v90f3a+RxHFcYXdKHW2vmfDY7jarKf7mmeK6V+zL4gu9aZr2aw05biBH2nMr/LLz0+X7rLRqv7NGjWek3drdXF5qFxayGWT5vJjVFbzRtC/xdPvf7VfQ2rzLb+I7GTbt80TQudo+Zflb+hrkzaNql/4kjZdzSv5a/wAXyrC0R/8AHga8ujxRi5vmvyLy9bHh1OIcdifdmz5R0zTrf4OftZQeduS21m2a1Rwm3a6/MiOqfeVmSvvb4fW/9uaC0Gm6Pss+EuIp02+W396JPvM235l3N/F8tfF/7X/huQWGj69Zxs1xbxJcQ/eZWmQK+P8Axx12/wC1X0t+xR8V2+J3hzTJJNSjjWSD91KqbZLpG+XyJWZvlZW+Vl/hb5lb+GvU40jPG5XSzKPxR92X6H4ZxHhvYZhJfzanskXw/mS3mtdIP9sQXHy3ctwV89dvVA7DazKv8Hy7f726uC8c/D/RryweSPTbiGCHctpA8Tq1xN3dtvysy8/723dX0FpkFhregtY2MlrbpCqrMEbzFhf721/97++3/oVcj8SNdtbfR7y8mhks49PgaK0BV5IpH+6+z/0Fd23+KvxfL83r+25dTw5Tv7tj8rv2uvh7FdeONMtUh2Rw37K8X8LBtqzO/DM259iL/dVW/wB2vuD/AIJ7fC+bxRpUd5A6/aLgp5EbYVmX5lTKsv3VVWevmXx/o7+JfjJb2LR+U11KumIr7lbDBmldt3/TRlb/AICtfpT+z58Krr4faJHa6FPbyRaDbpLa/aIGZ/Ob5vK3K/zfu/8A0Ov6ky3F4TFPCZfj3pa5nTzeeEwdSFJ2Yz4n/BPSvD+iXGk3NvHJpckDzwb9rMx+VZk/3vuuv++392vmHx3+yY9150OpW3/EyjTfbsv7yOFM/cUf7LNtr7k8d6Lq3jeaza11S0m/s5Bq8Jj08LuZvljX5nb+Av8A+O1y3xg+G9v408M2jSa1qEZkU3SzxRQ/u4WQLsYbd3zZK/8AfXpXk8T8MzwNSWKwc7QW5eQcVzoKNKtqfkZ+0P4jufgBrltrGg3V5oOq2tx/o9zaKyySTL91ofusrN/tba9L+GH/AAXB/aImv9M8I3mg+Bb7VtS/d2WpasGimKqrcyGMhG3beo/8e+9XlH7RHh+bxd+0pqGl3moSaha6K6QRSLF5KzM33FVE3fN9/cy/3Gr6e+En7Jlh8UvD9rayaTC9lpaLEsc0SL5zqvX7rMqru+7ur7rJ+N62QYShT1m567n3+CwuV4zFrGZjRUqa/Mk+BX/Bwb4rvtYmh8cfCW0vdN02VoLi78M6l5l1GV++8UMy7ZV+98qPur9Gv2e/2hfDH7UHwn0vxt4N1D+1ND1bciSbWWWGZWZXt5UY7klRl2srf+zLX5v/ABY/ZUtPDOhND9ijXRd7W9uixrH5L/MqvlQreWzAqqq38PzMtcf/AMEvf2oL79jL9u2y8C6h5kfgr4sXEWlzW7nbHa6qqstpcIrfd8xf3T/3tyN8zJ836dwH4nf2rmDweKXLzbHwvG3DGBiqmPyhWpt6LyP2FmmWS1+Vt25tq4qzH8u3+9V290q3uY1DIu/f8zou1mb+JqbJo72u7yZNw/uPX7wsDNXPyPmIU+9Uv+NQNbzQ/MybV9R92vFv2+/2y9K/YW/Ze8RfEC+tf7WvLEJbaVpm/wAuTU76Vttvb7v4UaTO5v7qv8rVzVOanFyqbI6MPh51qqpQV5SNL9q/9uD4afsd+EJ9R8b+KdL0y98gyWel/bYl1LUWx/q4IWbc7N6qNv8AtV8j/Cn/AIOHPBsviu3T4k+C9e+GXhXVEkk03Xbid7+F1T/nqiJuVm6fIr/N/FX4j+O9W8ZfGv43eIPHXj++k1Pxp4ivze313IpVZCw3IsQ+6sSrhVT+FVVf4aueN/Fmu+OPD9jpOqahdT6bpaGG0ikOUiXOcAcd1r4vGcWOGI5aHwH9lcF/Rxw2KyP6xmTbqz2s/g+X+Z/Td8Bf29Pgz+055MfgP4leD/Et1Ou9bW11OIXn+99nciVf++a9hWZd688t2/8ArV/Ih4Z+Cd/4g1+ObTJW0+bTys6XsUzRtbvngo6YYP8A7v5198fsef8ABaj46fsi3lnofi7W4/iv4Vsp0WeLVx/xNo7fd87Q3e752VQ21Z9/3fvL8tejh+MMFOapz0Z+PcZ+CeNyiUng6ntIxP37XHlq23aa8m+Ip/tv9rj4aWKrn+x9N1bV5QF/iZIrZD/4+9dl8Ifilofxn+G2i+KPDWoQ6noXiC0S9sbuL7s0cg3K3+96j1zXF+F5G1/9tPxNN/0L3hSxsh/eDXNxLL/7SG7/AIDX22HlGXvR2Z+HSjJScZaNdD2NPu0tFFdhIUUUUAFFFFABRRRQA6OnU2OnUAR0UUUAVL6xS9t5oZI4ZkuPldHQFWDDadwPXjP8q4hP2V/huPhzceD/APhX3gX/AIRO8n+1XWhroNqum3E2Q3mm32eXu3KG3bd25V+bivQqKAM+00e20vR49Pt7aGGzhi8qOCKMJHGnRUUDgccV4r+xrI1n8NNS0mRt0mi63d2bAfdULu/9mr3hz93b6ivBfgev/CP/ABo+KGiquxG1FNSVP9mdVb/2auHMI3ouXYqPN9k9SkbzNqr97arc/wC1Xwj/AMFEP2xV8VahefDvw3ebdMtX8jXLtNzLcOv/AC7I3oOrFfvfdXpX0b+0b8X208zeGtDuWhvpk231/H8zafEy/Kqf9NGz8v8Ad3bu9eEeHtLuNQvo/DbW0aXKpue6SJdjQr/EF/hn/h2/8C71/Kfir4q0sFUeUZf70/ttdPJefc/UuBctp4WtDNMbT5lHaL79z4/0TwtH4q1hHjmhjj09tvm+aGW4df4G/vx/d+b+Fvmr6E+HvhOw8SaW1rcxx+XJ8l1blvutu+7lf9r5t3+zX0j4F8Fad8PLqzgFnbrp18QqRhB/ob/xN/1yZz8wZvlZv7tel30Vp4S06TUpljSGzRnuMJ98LxkD+97V+O5Zm1bEyT9mfoGfeJ9Ss3CNM8J8F6Zbx2b2115l1eW67G8u2dvtUXZ9qr/wH5f4vlrmNW8I+JmkuNJ03QbxYY5PNje7dYFZW+b5tzbm2udv3fuqn96vo+7064ij/t6YMdQUb1iRvljtsfNF8v8As/P/AL+30XPG/F24a9tIJtOmkaW3ia5aZG3bbVwu9B/tOuNv+4G/hrXiPiB4KPs6e58PguI8ROtz2PjrUv2aPEHjS/n0vVdWsbXTdPbBSPNw06N/yyDMq/KjfKzfN/3zTNP/AGeND0vw1cQTW7arqVjuiEt6u7zHiYOpUL91mXZ+dfQHjw2+nvp95beWtv8A6n5G+TyX2tn/AHVwn3v4a838WaxD4e115pJGSO/i2t8u5vtEW3aoH8TMrf8AjlfmD4gx2Kly3+4/W8szfF1aa55nO6pLHbf2dPZ+TDbzfIoCqsWHXcNy/wAXQf8AfVcTqlwbaDUI02x/Y5WuET7u0Ntf/wBB31qa5cahcaFqcMax2K2ErNEjrvkUbvPTcG+Vf7v3v4a5m80rVNa8WzW+mu2qTapbkiLylX+8vzN/D+7evUwmHvrVmezUxXsYc1X7zs5NY+z31wUba95bqkQ3fMzb9vy/99L/AN8tW/p0IsPCt5Zt+7W3aZFD/L935/8A2arHwk/Z/u9fl0C88QXUMMEjEG2sHZZWfyujyMP76fw19KeAfhxovh99Tgs9Ns4HkdH3qgaU74l3ZZvmb5q+Rz/OsLhHyL3n5Hx+ZcWUaUv3auzwGHwvrHiOPSbiy0vULgNNFz5Xlr86Mv3m2r94itrwF+zVrmp3avfT2mnxXlr9o4/fv80z9Oir8rj+Jq9u1mZo/hcbpGZprOGKVQhO7MT+5P8AdrShtE0vWtJt0Xb/AKFLb/8AfHlY/wDZq+Vq8UVHScaUbb/hqfKVuK8bUfuvlR84fEz9mrSdJ+Eq3iefe6hpt0qLNc/Osf714mIT7qttI+avizRfEbfsw/H240W+tL6Tw/qs5mtXifasMj9R/v8Afb/tV+oPiXRV1TwZ4j08ozMz3DoNvzZ27x/Na+dvjn+yda/GpoUt4bdpHt2UXU7rEkbr8/yv/E2z+Ff7rfMtfc8FcXQSqYXMnzU53+W1j57MalStP2s5anO6V+23JrGnwo7Wum2tu7QDVC7eeyq20wlEfan+0rbt33vl3Vy3xA/4K26LoWq3+n/8IrquvaPojJb32r6QGgtbUt8qL5Tn5/mZfvMv3f4q5PWf+CfGteHb5o9P8Qafp+tbv3cUciO1wyhcMjltv3drfMu6sey/4JqeONZ1S6s7/U5Ps+vSre3iae0UrTFGbY8vzqrN821VVflZa+/y7LOEIzdfFSVktI7Hh8LVvZZhVq5vepTs1BRaVndavyLPwTjk+Nf7Rllqmkxx3FjpI+0S3Uu7y2edVfhf73zfKv8A6D92v0w+GOvS+BNH+y61MjXciPdtcxD5ZjhcptX/AJaLwu3+LHG75q+d/wBlz9mjw38EPDfkw3t5a/2ZuffNLtnkf7rOUZNzbW/iX+Lb/drvvFfi7UNLgt7jVorq4WNhLaxxJ5c8ZH3JSg+/L/d27tu5t1fB57xRKea055b8FP4e56kqEayata57t4L1i38MxXK3zeT9ud7pd33bZNoxDn7o2L/7NXjvx7+I91oXhO+/s37O66orLYRuxjksxLuZR8qtuXkv/s18m/tlftZfF77Z4d8P+GLweHdN1cyvea4lkbqa28rcwhdAD5Xy5O/afvYrF+FHxx+JHx0+HFrb+J1kg8aNdzWUQGkvA13D+7Zbtk/g+833vvbfu7Wr9WxObZ3i8lhisVKn7Oo9Y/asj2ZcE1cPgY5o5x5XolfX+tDN+Dn7PV98T/ibfeItPjjuV01pYlWR9sl1tO3erY2q3yyfebu1fZ/wE0208OeBGh1CRtPv79NpMybGjadl27W+7911/i/hrkv2evBVt8P/AIUi1ht75Ibh0t/tC2v7vblU3tzu/vt/wJq+iFkW71fSYIV32ys103J2qiJ8ny/7zLX5nT4vnPN4X+CDtE4a2ZVo4V4ZM8k/aFu9Lk8FXFvJLYXMkKmwWCKVW+0SrtVNu3+9uRv97/gVfl9+3j8Ktb8J29l40hW6s9R8PzrqcF3IGiaa4t5d6sF27l+ZGb/gVfsT4zgh/wCFi2myNY45LN53KKi7pk3LEzNtb/ln5v8A3yv92vhr/gqp4fTWPh/q2V8xY5fN/i+7KjI3/j2a++yvih0uJKNamrKTRMM1nLLnhn0R+mP7PHxgt/j98A/A/jO2VVHizRrLU9iHcsZniVnX/gLbl/4DXefK3zf3q+IP+CBnxT/4WN/wTg8G2Mk2668E3974enJ/h8p2dB/37lSvtrcw/wBn/Zr/AEZy3EKvhadVfaR+V1NG7Di/z7dua/Gn/g4Q/aG/4XL+1B4P+Eelyb9N8B2669q4T7rahcJttkb/AGkgZmX/AK+a/YDxj4utfBXhjUtY1CRYLDR7WW7uZW+7GiIXY/8AAVB/Ov5xrLx/fftA/tAeMvH15DNcXnjLWbjWXTcv7mJ5f9Hibd/ci2qv+7Xw/iRm/wBSyyUIP3pH694OcOPMs8jVmvcp6nTj4V2OseH7XTbrdcbvlUSorbV+8zL/AHfm3fxVk6t+yxo9wiWmnwyWt7MhlicXLLAsW35ncMG2/wB3+KvQPD63UbNcm3jkhX91mOX7oX7zfN+NWLaVNU1O2mkXas0ybxv+aGFm2ony/wB5vmb/AHq/k2nnGNpv3Jn9o8QcT1sqwqWGlyt6Hn+l/s36nFDp7QzaXHZfNbxRHK+YNjNvban3twas3xh8BdY0S/hXy7e98wNE8dtL82VG8feX5W3L96vfNduWNn9ngRlkjIuGO3/VopXI/wC+ao+L3tdI0h5/lV4ZVlQ7CzyNuXcF/vfLWWH4jxbqJzPySrxBj0mqr+LU+yP+CA3xZ1aH4U+JPhjrVvdW03ha4/tDSvPZf31tO26RF2n+CUf+R6+u/wBnQf218Yfi9rmN3neIodKQ/wCxa2cS/wDobv8ArX5nfsG/GWb4R/tZeF9QmC2+matO2kX6GT94yXG1VfaP4Vk8pt391W/i+Wv0y/YxP9ofCi+1k/K/iTxBqupd+jXsiJ/46gr+sPDDiB5nlfv/ABw0Z/L3HuB+r5tOcVpPU9gHSiiiv0w+LCiio3n2dVb1/D1oAkopu75VyrfSjzP7vz/SgB1FRtcJH8zNtX+9/D+dH2gZ6Mx7gfw/Nj/P0oAmjp1RwtuqSgCOiiigApkknl/ws3+6tPr8/f8AgtN8TPFHhXxD4Z03w54yXwS0PhLxFrq3F74huvD9rdXNulsIPs81uGa61CJnLRWkqtFIrvuX7tAH37kbt3zevT/PpXy98a/E2qfDD9pzxBd6XYzXEmueH4Z5GVGZrVUZk84IvzNt2fdVd1eE/BH4+a94x/as8NXk3i7xV/wnWufES90TUvBuoXr232XwouhtcW88umA+XFtb7LK0yru82d181l/d19NfGXRY/CP7Tnw51b55H1dbywmklLb/AOFlGf4V+du397j5q8zNsFPGYOrhacuSUlZPt5muHq+zqKclex5KmjXknz2sa6hrNwjTozyfLJu6u7f+g/7X+7XfeBvh/puoeGofJ8x1Zln81t0cvnbtu5v4vMVl2t/srtroNa8IWfw41lpIYYYdJ1aTcX27UtrhV/1X+zEy/Oq/dViy/wAVUNG8Qf2bPPrKxtHoN1tbH/LX/r72/eXcu0Mv3v4tu5mWv83OIuFcRkOcVcLmcveUvifW/Vep+jzziWMop0lZG/4U0mO8t9Qt78QzagzeRejZtWSLogA/hVl/u/xbvSofD1y+ua39huGM1roT5jfd8uolfuN/teVn5v8Ab552rlvisS3aLPYyTQ3FuvlXCw7VaaFvmaJW/wCei/eVvdv71O1m9tbPw/Y3mn+WEs8SWflfduFYf6pf9/n8q9DD55Sw8Lw1PD9i+YbqOuN4LkbT44xczNl9NiP3pFz86bv9ltu7+6pDfNjbXD3Df8I5JdaZJIsk02+4WX/nojbdyL/spu2r/ssta/xD8a2cmhW98l1bwXUe2a1+0MsckjbeU+b5l3ruRtvpXm3jbX77xZDaz6Dpl5dXsg8+085PIiZdrbsltrbf+A/eRa/O84zL63Ucpux9FleHhGXPNnJ+K/EMNtBeaLJ+8kuHMFrbj780LfdZf7qp8y7v9iuB1OG51G1jvpvMvNctZNrxIpZ1ZGZXiQfe27WP8P8AwKvZtH/Z5lSWz1jVtW877ZsiuTZ/I0kTfMh8xhuVB91l2r8u6u20HwLpPgbU7yzs7G3ggv4vO3hP3m9Rsk+f733cN8v+1Xy08+wuG92l7zPso8SU6Hu0Fdngen/AfUNU19Z9WeTTbO+t+I9yyTybHX7p+6isj/7TfK27FS6TpGn+D7bRfsVrDarDK9q+z/WSFd65c/xdK9B8T6h5WiaXNJ8s2lTC0m3feVNvlfN+jV5r4su1tZNRX5ma1u0u1G3+BtrE/wDoddWHx1fF6SPLx2b4jErmqy+R13ge++x2aLu/48dT+bH8K7//AIl69n8Mz7PE1wv3Vmt4mzuH8LuvFfK0/wAT4tPuNas7FVvrr91cb922KH5O7fxNuFd2ninUtf1azkuNRupEurWZfLhfyIvl2MBhPvfe/iZq83NMjnUlzVPd/pM/M8/4/wAuy6XsJe/Py1seleN/FGn6P8JdStZtQtLW5XfbqhlCvu89l6fe71F4j+N2nyanpM1jZ3d8/msqts8pfmhY/wAR3dl/hryy509dstiqxqk2qrt2Kq7VYK57N/eqzbTeb4Y0Wd/m2y2x/Pap/rXJHJ6EIpS97V/+TH5xjvE/FVPdw1NJeZueIfiprUlzrUlu9rpqyLFKoiTzX/eosW0u3+0i/wANWfAvw8bxx4EtBcTTXF5pyZiE8jPCssTbT8n3fm2srfL91q5rW4w/iiyt/ux3iq7D/rk+7/2Yf99V6R8FtQXSbzWlfahtpzcYZwvyum7v/t19RkFPDfW6dKcfdf8Awx42AzfG5liuSvO6fTZFpfg1ouqaZcahc2sMNjtKwFYkiaFF+ZnQqvytv3L/ALq153fIvgrTxcFfsd7rDI0V7bloN277iS7D8u1f97dt3d69K+JGsSeHdHj0NGk+z6s0UEOVO2Pf/rl3f99tXHeILj+1/FUEOP8ARrWLzWj+Xbvfcg+XH8K5/wDHa9ri36nSxHssMvdPWzbFRw0HSg9SvpPiq8mltNNkNp4k0vTlW4lS6KMQ33VBdB/vN8yt92ut8ISWd5pk2uJa6hars3xW1zE0kEkSr/Cy7mR2b5ty/wB5VrzePwxHqGiXd1br9jvNUuPJglt/3fys+wEp91tq7m/4FXtng/Vlv9B0qy2rG01ykV1EDt8tIgzudv8ACrMiL/uuteTkOHw1THU51Votz2eE88xtVShWldMg+weEB4TvNeul8/UGXbcF0eKaN0/5d/lG5drHayr97H8VZFvLo/gvQZrFbq2GtzeXA12B5ct9K/yb97D5drPyv91e9ddr+qMnxG0qzErLaaoz6hNEGK/voFX5duf4mdWP+1FVH4r6gDqOgzMkbrYyvdTb1V/3SgRMfm/2plb/AIBX2HEEsLVTw+G92KPu/wC06kKd3IkSG1gGh6bayW9xDC28gOG+VEbb0PzfMd1HhDZpHjq9sVeRobe0RbTdnbH955R/tNuMTf7rLXAz2kUPj92gWO2+z2m4+R8vzOWX/wBl/wDHlqrYXl7bre6tHqWpK1nfvcbPNWRWiQeVIo3L/Ev/AI8i1+T4fA8mI+I8OnxhRlPkmtT07XH32WtaqqNt0+8iZP8Acg2h/wCcq/8AfVfJP/BS7SGl8Ga1BFatdQx2r+eVfb5O3dLFt/4CrP8A7tfRukXupQeB0e51WaSO6glurhWhiPyy7pG/h/2jXzd+0LHqfiP4P/8AE0uZLif/AFt1lFVmZX2svy/3U2/5avtctxU1mFCs3pCSQZlxhQwtFvlON/4NlPi4bOL4teCbneyTX1v4kgj+95Zf/R5f/QIvu/3q/Wi21O3u/wDVSKzN83/fXzV/P/8A8ElPie37NH/BQu0gvLnyNO1C7m8O3m9/LXZO/wC5/wB794Ub/gNfvFKirJtb5V3dfu/L2/8Aia/0r4Pzl1MD7NfZtY+fyvGrFxc3ufNH/BbD4r3Pgb9h3WvDmlT+R4g+Isq+G7Io37xYpFaW5P8Au+RE6/8AA6/IH4VeGm8NaAV+z7bhW2+Vx5i7flVev97d/wABr7B/4Kk/HV/jP+2Y3h2zkkuNF+Gtqml28aPu87VLja823/bT/R4v+AutYMnwBsviFFYwXm+xurFN6yWyr8u1tqh/7/zZ+9/dr8F8WeNqdTMvYVPgWh/W3grUWU0HiKsL87PKbbS3vdMTT4jDC8ibfMlU+XHEn33b5f8Aa/8AHlrttC+CJtfDNzdXWoSfbbgfureK3HzOo3RIPmrnpfh9N4H+IV5pv2hbprHZFK8TsyyQ/KzptYfKzZH/AHxXrfh/W7dg19JNGtrZjbE7sq/Njl/0+X/gVfi+Z4upBQ+ru6e55/iLxq8bmTjRly04aIgPwY0Sz0PfNqWoXD3212RNn+kSsPufd+Vfu/8AfNVPC37Ptj4hks4Vl1y+1u6/0NbeB0kk3bmR0iXZ935fvf8AfW2tr4e6g3ijV7DTrNo73Vb6drXTbOJ1aTa7blXb/E21t27+Fa/RL9lb9kzS/gJof2yaOG68TagfMvLzaG2HbjZF/dXao3bfvc19N4d8C5txDinFycaUX70/0R+Y47iidOKlCpzNHzP8OP8Agk3pnw/+Hl94m8fapeXh0fTZr7+xYJVWJfKRni8yRQrMy4+6vy7v4mr7B/ZN8ON4S/Zo8C2LLtkj0a3d17KzpvI/76asv9srUZNH/Zb8ZLFtEl5p39nIV9Z3SBVH/f016doGlx6JolnZx/LFZwJCn0Vdtf29w/w3g8nofV8HGy6+bPg8ZmFfFy560rl2iim+Z96voDhHDmvDfix8W9e8N/t0fCPwbY36w+H/ABV4e8TX2qWggDPNNZtpf2d1fqoX7RLx/Fur2xrjy4dzDbXxH+03+0Z+yT+0V448P6rrX7Q+heHfEXgf7dZWV34e+IJ0a5hW5MUdzA7QSqzqzW8fDfdaPdWdStTp/G7HVhcFXxDaoQlO3ZX/ACNP44f8FdtF+D/7W9x8MYPC82tQ6Hqml6Nrd3FdT/boZ7/yCjWtolu63MUUdxE0rvLFt+bar7ayL/8A4LCXHhLRLfxd4k+Feqaf8MfEGi67r/h7XbXXILu51C001VYebZqi+S9zndF+8dfL+Z2Rty1vfA/4A/s//tOeK18W/D/4ma34wPh2TTLbxB/Yfj26mtdcuLFVaxl1ZYpf9InRFT5pP9aqKr7kVVXj/hl/wSQuJf2hb7WPiDceFL7wHb2PiHTLPQtOv9WltLyHWGX7Qq2V1M9tpq7FdmWzzueRm3IqhaqnUjKPNExqU505clVcrLXw3/4LE6h8S9Ekt9K+GP8Aani658S6Z4ds7Ox1510qdr+2up4n+3TWibXi+yTCeNYmZB5Wzzd6bj4gf8FQvHXi74L+IY/A3wpuG+IHh3wv4g1TxHaS+IbbyvCsunXV1YL9nleLbeySXNpK6KyxIyQNuZG+Wvc/hh/wT88G+ALqwvJtU8eeJtQ03WbTXLW+8S+JrzVbq2ltYJ4LeJWlcqIkS5nGxfvGQs7O2MY3xG/4JifCv4gWklvNF4s0JLw6ql++i+I7zTW1S11O6kvL2yuGhdTLbNPKzhW/1e5tjJufdRme0/A3xFdeLvgt4R1a+n+032qaJZXdxKE2edLJAju23+HcxPFdfWH4N0Kx8IeFdP0XT1MdlotrDYQR7izQpEiqin/gIH1rbB3DIoAZRRRQAVl614atPECxC+tLO8S3mFxCk8KyrHIo2q/zZ+Zcn5htatSigDMj8OWaa7/aQs7RL5oVtzcIi+cYlbcE3/e27s/L05rx79tO2bR9E8F63u+fR/Edurv/ABbJUZW/8eC17pXk37bOk/2l+zb4hkVf3tj5N6jf3WSVPm/753UAbfiDS7bxNpN1Z30MdzbXSeU8Z+6y7t27/wBB2/3dv+1XkHiLT/E2l+IG0aOTT1abc1rqFzuZrhF+8+xV2tIqttZN38W7+GvUvCeqLrHhPSrpG+W4s4pef9pFqDxR4dTxVp/k72triNt9tcD71vMv3W/9lb+8rMtfk/i14c0eKMsl7Kyrw+B/p8z0MtzCWGnb7J5jpmm33gVYbC71hobDbts2t7dVbc3/ACx3MzMzK3zL/e3f7NLZ+FYtM1xJNSuNSkt7w4topLoxx20zH7p8rbu8zb/Fu2su3+Jd1iCxfxA1wurKsN/YyeV9nhzssX/glTd825l27X2/Lll/vUDUpPE9rcaS21b2D93dSfdWPn5XH95mx1X7rD25/wAwM1xeMy7E1MFjFyTp6SXY+0hy1I88StK9t4G8RNZ6PY2q3GqlpAiKEW3m/iLv/df+7/eX/aqz4d0lfCOtzRtL5zalmY3TLsaSfq6f3QvG5VC/xN/wJNI0qGfSbzTZt325fnuJ3+/cFvuXH/fS/d/h+Zf96vfXupeJ7RtOgjWDULNl826b/VxFeUKD+Lf93/dNfM4jGTqydNv+u5tGNiaW4tdLivtKvpFhhkT9wW++0bnoo+8WVzj/AL5rn9a8Q6je6Pb6hHpv2ebS5v3rXTsnmY+WXCKG+Xa+75v7orW+yrFYw60v2iTUbZnNzuO12H3ZE5+VduMqB/drH8f+KLHQJJLq5mj/ALP1aLdlDu81tnyqP99G/wDHaywtNOaUY8z/AK/MuVenRh7arLliup5z8QJ7hf7ctrySzRb+3+0Kyv8AKu35XPzL97cq18/+M/iY3xCuGWxeS1s9QsmilJbbPM8e5W3f3E2u33d27bXTfFDxtceII7WS++W30u4+yS2275VDHZvdv4m+5/s/eryDxDcGxuxfR/NcafqBjf8A6aQyhm/9nCr/AMBr9l4bylRp8017/wDX/APx7i3xAliJvC4DSHfudj4L1NLi7h27VjvLLOwL8ud6/K3+189exeDNQ8zSPD9wWXosJ/5Z8tE2dq/xfMq/dr5w0v4hab4St7LUL24W2tVvZYl/ikk3bnCD/vkLUVr+0brmoaIlvppXSbG1u9qlFWS5ZfN/vt935X/hr18Vwtisd/BX3n8/8QZ9h8uTqYifveR9SXmqQ2Hi8C6mjtYfOSbfM6ov+qdf4v8AdFclqHx48PaN4GaOG8mvri1JZUtYmb7s3Hzfd7V4NJcTap8QI5Lqdrx/sDOxuGaRt6z/AHvmb+7urQt9zaPq1urM3kz3CqP9n5WX/wBCrXD8BUIxX1iTfLbRH5XmXitNe7hKS9Werar+0ZeXnj/TPselRww+TNF/pMzM259rbsbf+mQ/i/ire0n4zeJLPxJxeWNn/acSRYhsx822VS33mbd8rNXi9iyyalHdfeWzeyVtn8O7dv8Avf8AXVf/AB6u+1S9+wXuk3m3cti80srYO3ZsCf8As/8A47X1OX8OZfCpGUKd+U+co+I+eutzqtyeh2fjP4763qWt20d5DpepQx+bc/6poJP7gKsGb5lVm+as/wAP/tIaZHHqjapb6ha3Uzu0FxsaeORIhsQbl+bduDfeVa47Xr9Y9YupN+4WtuqqR/Fu3N/8TXI+T9u8O6bbv8j3l1E+fm3R7m3s3yt97b/DXn5hwvl+JlNzXL6HRh/FzP4VH7WXtF5n1N4U8SaXqp0e1s9StLlbf9+2yUbl8pOePvfeK16ZocrWfxGZlVlhbT8nC/el3/N/30iL/wB818c+BbddY8WXCXEcf2m1tURnjXb529m3H5f4tqru/wB6u+kkm02B7xZ7rbHqXk4E7quzZ5Dd/wC8Wrz8B4dy1qUav4H7Hwn43UqNLmxGHfyZ9HeJL1j44t7tQzf2W9vCTj/nqzK3/slN8QyJ4g17UYJNyxrpi2jf7Pmlmf8A8dVa+YdUuJrzR/EM0c94skkr7P8ASH+9Eny/xf3lam6T4hurie8vIb/Uk8y7Voyl7KvyqqKO+3+Fq2xHAtbl96qj6LEfSCy/k1ozS+R7H4T1tb6K/vXeN5I3+zy4Zf8Alkiq2P8AgW5qfo0jf8IEseNz3iLAv+1578/+OtXzlp/xS8SeH9PvmTWr5hqCy3UUVwyyrlmZWX7u7d93+Ku30T446rpup6NY3NnY6ksL718rdbu3lI231X722vicVwTjqVS9Jcx5uV+MWRYjELnk4eqPpBtGV/CK6L99muEsuG3N9nb5h/5CV1/3lryT9oPwmkkmuW7Mqw3C/aF/3HXa7f8AfSL/AN9V6D4Q+McOt+J7a5/sfVBHp9v9juCixOqvL/qju3j5l27f+2tcF+0n44xqluD4f1b7PYp/psbyxRfI23YrbWb+JPm/2d1fZ4zgvM1g6eKpUfh3P1bO8+yiplyxMaq5Gfjp+0b5ng/9om11KxuPs88zfat7qytCy7VV/wDeVw1ftF8Pf+Csfg7xR+yH4m8dXckdj4q8I6K17c6NO43XFyEXyjDz88Tysm3+Jdx3KuK/Mb/goV8L5viR4xttbhs4dNvbfKW8ds/ms0u7dsbj/e/2flriP2X/AAFc/F/xTbWeoW1xJp+ly7riOfdtkdgzfJu+ZF2t93b/ABbq/ovIeK3l2TRxUvsx95HyHAvEVTMs6hTwD54P4/LzPX/2ctD1DxRqw1vWvMuNV1aeXV7xz80nmzuzuzf7W52Zf91a+jNP8Waf4K8L6prd9dW8KWcUs2N6t8kCsq/8BZt33q880T4d3vgq8uIV86HT5iqWVwP9ZdRK2xVT/dferL975d1cd/wUH+MGj/BP4J6X4bSZbW88V3CW6RwqGuLmGLa7hf4m3SKi/wDAmr8FxVGef5xCnT972kr/AC3Z/oPWzSnleQzxVP4acfxOE8O+ONT8T311qV1eNDea3cPcuEZf3KNubH977rVpaXqo1LVbXQYYby+mjkSCC3QtLPfb/wDVIq/xMzHbtqD9nv8AY8+P/wC0PpUM3hT4a61a6deYb+2fELjQrPY33XVZl811/wCucVfqZ+wb/wAEuPDX7Jdra+INcmt/FnxGZMvqktuVttLL/fS0iY/IrD5Wl++33vlVttftmV+G+KxeIbqw5KaP47ccxzCv7WtUdpal/wD4J5/sQw/s/aMvizxNBbt411SHYFRVZNIibrEjbfv/AN9v+A/w19UQyCRdqMu3+H/4mq8EflhVX5FX7o/hX/Zqb7MknzMvzetf0VkeGw+U4aODw8LJH1FOiqcORHln7XEbap4f8G6G3+r8QeMNJt3T/nokc7XL/wDjsIr2OPbt+WvHPi5H/an7Snwj0nPmR29xqWtOP7vlWvkKf++rivY493lru+9tr6ynK8eZEjqbJTqb/HVAUtTLGylK9cfT8a/lIkiU3l+zRyfNqN63zLtZv9Kl5O6v6vJxuj2tyudpr8DEf9mHxRdXeoWv7KvjKaC8vLp1l/4WXLb+YftDqz+Ws/ybmVm2r/er4njdUXh4e3rqkr7v02P6C+jzxZ/YOaYissG8U5Qtyq2mu+p9C/8ABt1f32jfCb9oa6077HFqFvf2Ulq97ujgR101ijO3/PLfjdt+78xr0T4Yftp/EDxfe6X4d1r4g6x4Z8O6otjJqXjG7l0jz7PUG0e/vnsre4TfbeQ8tvC6LKrP5W9d371dvZf8EOr/AOFc+hfE/T/hr8LtY+GVzp+qae+s29/4gfWm1B5LUtDKskkrbFWP5dq7fu/xV9gWXhz4f694E1Czs7Xwjc+HftbyX0Udvby2f2qOTe7SL93zFkXczN8wZS2Qfmr6LJeT6nT5J86stT8t8QMw+ucQ4rE+z9nzzb5X9nyOf+A/7Qd94g+Afwo1jxFomtSa5470iymuV0rS5bi3s5pbeOR2l2bvs8W5v48bfu/w18yftbftnfEz4HftHeKodDur7W5tPuPK0/w/atYS6d9hXw/PfO8ybvti3i3UW/P+q8jYrNtfcv3mJo57fzBMrwsN4cEMv1z92sAWnhWP4lrJ5ehp4uax27mES6i1or/9/PK8xv8Ad3V6h8eeG/8ABOT4z678VPCnii08ReIp/Et9ol5aMt6Lq11C3VLqxgnCR3NvFErMGlbcjR/JuVQzqN7fTsUhdMsNtcn8NLfwzBocn/CJLof9ktcSuTpIi+zeex/e/wCq+XfvG5ictzXWRrtQCgBtNeRV/wBqnV8w/t+eKbj4YS6f4l1z9pa3+APgRkFjLGNH02W71C9ZmZTDcXiy/O0fy+UsDnajNxQB9BeFviFovji61eHSdUtdQm0HUG0vUUgk3NZXKokhicfwtslRv91ga2DcKqFm+VV65/h+tfMH/BOr4NTfDO/+IXiHSfiFefFHwH8SLzT/ABFoniO/1K31C8vJvsSWl0He3hiiCq1tCF2r8u3aVG2vpuV1j/eScbeem7b7j86APH9E/wCChfwR8RXuuW9r8TvCL3HhvT5tY1SN74RNY2UUqxS3D+Zt/dLKyJv+7uZVrY8UfEbwz8eP2btV1Tw5q9h4l0PxFpt1BZXWmzfbIriXYy7FMW75g6lWH8LKVr55+Ln7LPjr4gaZ8RvGl5oK6p4wuPH+i6jo2htewL/aHhzQr2CWGyjZ22K07Jc3G19q+bOm7bt3L67+wx8L/E/gfwR441XxNpD+G77x9401XxPDo0lzHPLpUNyyKiTNE7R+a3leayxOyq0xXe2N1ADP2b/FCax8A/C9xu8xo7PyP++Pl/8AQdtdVeXEkm7e25d33R92vMf2Wd2l/D/VdFdFR9D1m7ssf3dj/wDoNeiXEn3vm/irw8diqibjE2jTOf8AGnhqTVCt1YtJHqFumBh9rXUOdzwbv4fm3MrfeVmb+9XO6prljBY2txZrsuF3JDaKn72fna8OxenzK3zfdVl3btp3V200n8LNuXd/6D91lrlfEOlf2LqN1rNnD5kkib7+3jT5rhF6Sr/eZdvzIrLvVV3fdr+UPHfwfjnUP7by2N68F7y/n9fM9zK8w9k+SexVeC61uCPVIWH2m2Qp9nP8YPDxSH+8393+Fun96l1bW4LSCHVIWaQx/JNDs3STxr99dn99Wyf/AK1Y1/r0lzDJq8N0ul6XcLvuSzfvWC9GB+5C/wDD/E3/AAKvOfG/x0s/D7s2gTPHHdc3TBPNvJPm5eJW+ZW3blYttX+Liv4Uo5LiKtX2Li+Zb+XkehmnEGCwFL2leXodd8QvizJ4Yma406Oy26kiOVupgWjb+CYqu7arL8v971WvEfiBrOr34mtZ9YY3FrmSy/0QKqhSrLFjP8LNs3f3WWqt38SbaKO6dY5P7MvNzsHlWWRXZvnZvl+7/wAC+981ea/EL4hTWNwka3Fjtj/48pZU+W4Xb8sRfP3mVtv/AHz/ABfLX6BkfD84yUYwPwTiDjDGZpVdOPuw7FXxt4knnkuGmPmQ6pbkeYE2vHMisv3fu7tvzf7yV5x488a2un6HdahcNHHbzWSyf70sT7dn+9u/9BqLxF8VVZ5IX227SS+ZEQWVY7hequrfMu/b/u/O1fPvxc+JK6t4zkSG48zSrWVH8vcreW7rtmfarf3vl/8AHq/aOG+GaleajJWsfGZhiHg8O5PrsbWqeNJvEnii6upP3K+fDPBEH3LbqzKrIP7v3X3f71eg+D7z/QdUX5nWNln4/h+43/srV4dotw0lukK7dyxSwLlvusnzJu/2dv8AFWH4t/bLj0ea6sfDcUM00loiz3tz88VuVVlbYinn7y/e/i3V+6cO+HWY8Q4iOByanz9+ij6s/Gcbk+Nzet+71Z9maPeJ/wAJU907qkEcb2ryv8sarsV927+Fa57xB+1X8P8AwPeaol94itbp5nSVYtO/0p/miVcbk/d7vl/vV8Ea78TfEHxDt7e41zVNQ1BmmzsldmjXjb8q/dX5abZ/u9UeNWaNWRfnH+zur+suEfoS0Z8lfPsX6wh/mdmD8KaSnzY2pqfWlt/wUT0seG7xdP8ADeo37yZ2yTXCRR/IiKvygn+Ja664/wCCg+oXDvdTeGNP+yyWflNGl4/mbXdf4tv3vlr41+HdutxpO1kbduddm7d/E3/2NdV9rZfDa7vl2qqN/wABX/4qv6Byn6Jvh3QoqMsK56dZNn0WH4AyeguWFP5n0l4a/wCCiXhfWtHvrbWrbUtDu5D5LTL/AKRB8qqg3MvzL93+7Xrfgn4gaH471PTX0TVbHVLa3id2+yyrIy7VjVcr95fmZvvf3Wr8zvEEjtZx7G2tI/yn+78277tS+CPEt5ofiWS+sZbyxvrPaIpLaRo23/N0K7WX7y1+TccfQo4fxXPPh+tKhPop6r7zw808J8JXg54SVmfr78P7drVG1jZuaO6ldz/eh+VG/wDHU3V2mq2Rl8B+WrbpLiB5VP8ADvbc4b/vo18x/sxr8SvEXgOOa/1y4axmt/KXzLWJmZWT5vm2fM23e3/AaxfiV+0p440PQ7mzj1toX09msMJawfKyt5S/w/xLsb/vqvwvC/RL4q9p9UoVac3HrfQ8+l4cZhh8Mqeh9MeD7z7Z4Psbht2y+i+0PlW/5a7nbP8A31WD4W1BbL4Y/aJH8n7OkzzPIyqsfL8s38K/MPmr5Ntf2ifHlno66PYa1cXV/tlt7W3SCJWVf4Hddn3VWvZfh58Itd8Y+D4X8ca5qmoNcN5kNkkLRWvm7FVVVEVVZm2/eZtv+zX4V4teHseA6iw2Z4ynOs/sQd2vUxp+FuYzaVWaUSt8RP2kvBul+GIzb6ytxLpbQyyvbW7yKqr99d+3a3+zt3Vl/Df9v3wZrnjeBb601zRPtEDLZPcWjSRX25vVC21uFr0bxF+ypput+Dp7G+t7fWbPUk2LbROscke75gySp9xvdlWuSP7IOn2Oq6Bc6xqesXlx4XONJsdQtotsfJOPkX963P3mavyLL+KMjlSnKs2pr4Uj964O8JfDWOR4v+3HVeMX8NrZaduup9D/ALJ37aPwvubzULS88VWkN9fO7GzvYJbVp0+VEhVpVVGdVH3VbduevUPit8TtAh8OTR6l5ck9wHnebcMXgKD5f99U2pt/EV8a+Pfgda6wjz69Zw6bHs2s8EYaL/gb4+Vv9lVXd/erkZfgPffZ08m61iwsLdt8Mlpfyqy7fuusbv8AIy/N/tfN92vsMF4l0PqH1K1k+p83iMnf9nPLsHP3NtdfQ6742+ItN8DaG1vqFt9v1TWF+z6Xp7urNcJu+WJ9v3Nny7n/ANn+LdUf7L/wpuNEt728uYd9xJLs3hdrTXDvuLbf7q/w/wCyjVl/Cr4FrL40udauLfXtU1K1t0isjqUpmk+ct+9dn2ttXZ8vy/7VfS3wy+HbW9/bm4kVbbRgzPHGfuuw3OXdfvMqHd8396vy3jLielGg8LRem7P27wO8OcPkeCWOm+arU3OqtfAln4jsLHRGsbi+jtU89JLbETwy4ZEcPu+Rtu9m/vbVr239kL9nzT/CfhR9d1bTdHvtcurp/sd39lRpLe1X5YlR2G5Pm3P8v3vlrj/h5py63La6bbzQ/wBqeIJtnlpKv+j7l/iRf7kS7v8AgTV9XWGjWun6LDaxw7YbWFYosLt+VRtFfon0ZeFsRja1bOMQvch7sb93ufr3EWaTVH6kn7jd2iCyDfZ/kbZ16Bd33v8Avlf++atRxrHtVV20R6W8duvkvu/2Hpq7k+8jJX9eVMLOGnQ+Jjyr4SxHUkb/AHajjZW+ZW3LT4v6VjzSRR5lGBrv7be77yeG/Bh/4C91ef8AoW21r2CvH/giRq/7R3xd1L7y29zpekKf+uFo0rAf8Cumr2CvqMP8CMZBTZKdTX6Vt9okrXvywPt+9g9s7uK/nC8C/EDR/DXheGw1C6ms76znuknt2tZ1aN/tUrbW+T73zV/SDcpiNm7Yr8nfhd+098ePip4A0/Xrn42a9ZSap50/2a38NaN5VuvnuqIu+2Ztqqq/Mzbq/IfFzEZRRwNJ5xUcIN9FfWx+teEefZrleNq1cqpxnNrXm7HR/wDBC25n8WeG/wBoa40OGO8+3XGnWtl9sinitbif+yyuxmwr7d2FZlb5d396qdv/AME+fjdffsnfEPwn4c8P6fa2fiXQ7S31XSvFM8Vhda9NbaRPatZW/wDZv7s2iz/Ztrz7ZZ1Vlmdl+avoH/gmj8eviB8QfFXxc0Pxt4qu/HP/AAiMumS6ZLLptpZ3Xl3Fm8skW23REfc6fLu966+T/gpz4b07RdcutY8B/EzQrrRNYg0KWyv7Syhkubt7KW+eJJVuzBuit0LvulVlZkQBn+WvuOEamGllNCWDfNT5VZv0Ph+LMdiMXm1etio8s5O7tseteFNL+IGmeBvAFvHJ4Xt7q1tLeLxLHOk03zLAquLYoV/5abvvrXyV+1j+xf8AEb4p/tPeLJPBuntpcevT/wBsHxJcQWiyRr/YE+nfZUvFl+0rFLKyL9maBlVvNl37W8tvt/wN4y0/x/4L0fXNLllm0zXLOHULJ5ImieSCVBJGdjAMp2Mp2su5e/Ned6h+2L4TsP2k4fhi0Ouf200otvtos0+wpdvaPeLBu3ebu+zI7+YE8pfuGTzPkr6Y+dOR/YK+FOr/AA/ufGmp3Xg24+Huia3eaf8A2X4dk+zx/YzbabDb3EvlW7NEivKrKu1vmWNXb5mr6Qh2/Z12jC7RivOP2eP2kPDP7TfhzWdX8JSXl1peia3daI9xLbmCO4mt9u54f+esLb12P91l+Zdy7Wb0mP8A1f8AeoAbXyD/AMFSfg9pfj0+Dby68QDSdS1RNT8FW6PobatxqNr5r3SbXRrd7X+z0uGmDKqxRTq3+tr6+r55/wCCmvgKy8c/sieJmvNFs9Y/sPytSilufEs/hyHRwrbJ7976H97CkFs9w8mz5miV0H36AOV/4JI/E/RvHv7M1zJY3HiC41mbVJte1uTVdGi0pr2bUwuppeW9pBLKsVtPHcpLEnmM+1mV/nVq+rNvmHdu9uP1r4d/ZZh8Zfsy/FbwvceKNe+Enh/4a/FGHT7PQ9O8H+CdRiW41D7H5FstxqMzt5W62itki89F81k8pdrL833Hb7fKXb93b8uKAGJb7Ny7V2t1A+X8acYtyKrfe3L0/wBk5pTJ5b4Ibpn+9/n/AOvSSXCiTZ/IUAfNXw+jbQvj58UtKb5PM1SHUUH8KrOiu3/oVdtI2VX/AHa5Lxuq6D+2hf8A8K+IvDkN0Ap+aRonZPu/7qV1VxuaRkVW3em3bXg46nL22htTlYr3DNVXzWkdfLZtytuxu/i/vL/dq/8A2bu+aR2X2FP8sRr8qqq1VPL+bWSFKX2jy34ufs4r8QNt5YarJol9GzM0Y3fZZnb++qtuVm/vp/wLd92vkn4z/DHxh8KtcePVF/4RuO4ZfIu7ZfNgvv4fvsFTd/vL5n935dtfoFM67fl+X5ep+b/x2s3VNLttWs5LW5t7e5s7pNk9vLEskU3zfxK27/x3a3+1X5zxZ4OZNmd8VhoezrPqtn6o8DNsnp41803qflJ4s0HXrcSH+0NQs4WYtLcSOfsrf7ZTbu/76+X/AGq868TfDbxBqscjWt5a3VuybvNitkWCT/a/en5v95N1fpR8VP2E/Dviq+e80O5k0m4+Zks7jdPYs3+795P/AB5f9mvBvE/7IWteDr2SfxDp8i27NtWXT322rf3Wlf5VT/ddG3fw1+C51wLnfDyc6lLnguqX5rc+aw/C+MliFQ09T4ks/gXrD36xW/iS8kkm4eExfZk2+gZhub5quWf7DOt6rZSPcNrcNrIzbpiw+zqrNuPCKzsu7/Zr7d0r4dx6fJHGtnp+rR7fmt7eAWscf+05bcj/AO8+3/ZrY/4R62a8SG3mm/tP+DTwm6Nf95H+VV/2lZV/u1+d4jxGxVGdqMeX5H6Ng/DfCTjz4x87X3HxFYf8E/7zxBp8lvb61capuVmnNvcS20Csy7WTcv8AFt/4FXK/8OmdPe4RbHXtQjuNvkKjwr9l+Xs0rN8zL/s7mr9DNV8N2sdwr+ILWNH+7Etkpdf907fn/wC+l2f733q0NQ0GSTSo5Ll4ZtMk/dJbRMvms3yrtyq7X+Vf9Uu3/eruyfxu4myifPluJdNy7dT3sPwHlFOLjGkj83r/AP4Jd6rp8LW9vrklw9uu5jaWfnxx7dv323fL97+7XHfED9hPx14Hj+0Wy6TraNEytHaXH71v9pU217l8ZP2m/H83j3x7N4b1y1+H+ieCZ/LtdDn2RXV387DcEkByzddno3HzfO3018Dbu6+L/wAG/Duvahoc3hXVtUt911ebNn2h1Zk34ydyvjd+/wD733q/fKf0kvE7hmhSzDFY2NSFTo7N/P8A4B9bxJ4FYPA4KnjZpctTs9dr7ejPyY0fxBeeB9YexvtEvLO4jdWVLjdGv3drfN/vK3+1SXnxU8vS7iFrDb5m91MUu773zf8As1fen7an7Kun+ItDnuttxdX0Lp/xMLVB5aqzbeVUKqt833k3V+dvjrwRrHh7VrixeFrp7Ntm5I2jkZFXc25W2/Nt+b/ar/Rf6OP0t+G+MsJDBcQ2w9dac1/dl/kz8lnwpk2FrPB4pNN9bhJ4us9UntY1do5I413JJ97dtrrfgPp83iL4iaba/N/pV0ruP4W+bb/6Cv8A49Xj19J9oDiOOZ2VPl2I+7/Z/hruP2c/HGueAfGFveWOjzX00KMlu0rMrRs3zN97/wBmr+leM8dkeXUni6GOpuDXWa/z1Pi+IOHMDgH7ahXi4Lpc/eD4MaD4d8I/C1dNmmjh22m7Y67lhuHVfkLf3mj3/L/tV8E/tIabJ/wvC60TSo1v7ySWK8liiO5bVmDLul2/dbcqtt+9XD+FvjZ8VPGmj/2ejTaHHcN591cRN591Hubczp83yN/dba3yqv8Aer6O/Yz0TQfC+lPpl40cEy3X2hbi7ib/AE6V1/5aysu7zF+Z9zMv3lr/ADk8UfpIf6q4XE0+GZe3qz+30Xmj8+zDjTK8RXhhIuzX3Gv+zj+zlZeC3hur5pLjU7wfaLy4e0l8xty7dv3PlXdlV/3a+k/BunwiZriN/wDR9PBSJirK29fvk7h/Avy/d9an0KH+y9FutRjDP5y4h6yeYq/LHz935mO7/gVXZdMWPRLWxZstdEROwO1mH33fd/tfdb/er/JjjDizHZ5j6mPzGcp1Ju7b38ztow9q+bYpjw5Zzx3GrzJJaySDdE8PyMsP3VHy/L8/8O5e9RX1t/Z+kNJrVvHJayL80iJ5ixhvuoU/hb+Hd83zbvu1duNCkGpx2tlcK9pap5z2t1ueFvm+RM/eXb/D977tSR+I01bXlXUFaxa048uV1Vbib+6H+6yr/wChV83GpN6xf+Z6UcNStqtTmJ/AjWdudR3xzwxrvitJ5fMjtx93CM3y+b/vL/srt27qwdU8J6VcR+ZMbjRdv71o/mVWbb8pZW3KzfwrXdzaGur6k9xby/ZYYHyg+9BdSr1lKN/d/wDsqzbnU5NVlW61WzZtNt8tE6/vIJXB+aZgfnVf7q7a76GMqN/EeXiMOov3Tj/D2h3XhrV7bVprpdlx/ooXyYt0e8q0W5sf3/vf3VZv7tevaf8AC2ESW2l3E15qK/NLd+a7eWw3fwhdq/O3y/d+Za8/jt9C1a4m1C8WzRNuyGJ0MTfN/Ewb+N//AEFv9qu7+EsNrqN3Hoclva3Wpak2yznH79oQF3Mr/wB7yEztZvvf+O12SwWJzPE08Jhdak2kv68j9c8NeL6OHpvLsXpbZnvv7NvgO3OpT60tvHDHbn7HaERIvzfemcbUX/c3f71evyfLZt/ufw1g+CbfS/DXh+z0rTwtva2MKwRR7du3b8tbtxJ/o+1V/iVf+A1/p74dcL4fh/IqGV0XeUV7z7ye59Fj8RLEYh1ehNGzRxoq7fu0ud33l3LSUV9wcZFJZpI25V2N7UhWRAv/AC04/wCBNnipqr6pqi6LpdzeSFVjs4HnYn+HarM1c1TB0qm6K5meb/skNJqeh+NNaXbjXvGWqTxsf4kilW2T/wAdtzXr8Tbo1avLf2K9KfS/2XvBrSrtmvrD+0n93uXedj/5Fr1Ot4x5VyxJCm5/eU6iq6gVZD5jsv4Aj+X6frX5NfDT9mn4yfCXwZZeGpPCnw5vJNHaWDz0+IUESyfvpW3bHg3L977rV+sd2iyLKr/MpXbt+9u49Pxr82/2M/2Yvhr4o/Zf8F6lqvw48EahqeoWTz3V1d6Dayz3ErXE+53d4tzM3+1X88+P3EGTZXlmHqZ1h5V4OW0XbWz1PruEsZjsNXnPBT5XY9l/4JbfBHxh8OvFXxU8SeLrPw9preK7zSfslvpOupq21be0MTtI6IoVmb+H+7zXU+Nv+Cd9v4z+EXh/w7Jr1nealpeval4hvbjXNATVdM126v8A7UJ2u7FpFSWRFuP3Ts/7too8bl3K3I/8E+/AOj/DT9pD9oLSfCuk6P4Xsdvh2WGCws0gtY7htOl3O0SbV3fcZtu3co/3qZo3x5+L0Xwo8aeItS8a+BZNF0vxLLoWkau3g66W61NbZHgmW209Lp/tUsuoL9niVXUtGsjD7y4/U/D/ABuExWQYWvgYclOUE1F7rQ8PNq1Wri5zrO8mfRvgf9n+x8NfD/wFosmteKL7/hArWG3tbv8Ati4gk1Hyoli33KxMqz7lGdjhl5rx/wCL/wDwTY0f4u/HnWfF2qeIpLbT9ePm3yWtl9l1uNP7OksGtYdWWQTw2LI7Stbr/wAtGb5lV2WvXvC3xsTQfAngVviALDwj4u8W2tvHLpbTM6xX7RK81uj/AHW2uzLnO3/aavH/ANo/49/ET4UftFXkek+JPCLeDtD8K3/jDXdP1PRprd9KsoLeSOAPqC3BBae8Ut8sG5IoJvv/ACbvszzT0L9kH9kWz/ZI0fxVYaf4k8SeIoPE2uPrIbWr1rqSw3RRRCFGb5tu2Ic/+Or0r2iP7gr5x/4J+/tJ+Lfj/wCE/E8Pjuxh0rxL4dvbWF7d9PNhdCK6soLlGlthLMsS75ZUT96zOkSuypv219HR/d+7toAbXE/H74K6f+0R8HfEfgvVrq7tdO8SWUlm9xa7VuLN2X5JotwZd8b7XUOrLuX5lZflrtqKAPlj4f8A/BNSWX4ot43+JXxQ8YfELxHNqVlqF1b26pomg332AhrBZrCHcrtA+Zd5f55G+ZdipGv1HbK0cKqx3t3P973qSigD5c/4KIftO+N/gxr/AMP/AAb8P7TUJPEPxBudSP2ux0VNZu7OGxsmncRW8txBBudmiXfPKsarv+VnK15L8O/+CgvxA+I2o6P40sNW8H3ngPSdf8J+EdQsLfSJop9Ul1iGza4v4nll820WKW9RUglV22wSq7Mzbk+v/jl+zj4R/aO0aysfF2k/2hHpl19r0+eC6ms7ywlMbRO0NxA6Sxs0burbWG5WKtla5ax/YM+FOi+PfDfiXTfBWj2OqeErW1tdMETSx2cAtYmitJGtlcQvLbxu6RSupkjVmVWXqADmP2iNHk8P/tIfDfWpLqZl1T7bpUqHaqQq2xkT5f7u5v4q7aOFLdfkVa5/9ueyXTPCfg3XPm3aH4mtXYk5+WXch/8AHttb03y/+hVPLHm5gI7iT5v71VZn7VNJUEx+9/s1QFaST5fvVWuJPLZWZtq0zUNYjtVbb87e1YOoahJdSbmb5fSuWpjIU1ylcpa1DWkj3qg8z/eb5aw7y6e4kBd2Zl7bvl2/+y06ST5dtU5pPvV4eJxMqztL3jSnFqS6nL658L9PvPOksHbRbqRt7y2aBY5G/wBqJvlb/e+9/tVyOt+C7jR7VLW5sLV7aRt8uoIjTtH/ALe1f3iN/ttuWvTpJMKzfwr94n5VX/gVeUftMftfeA/2VND+2eLNYWG+kXzbXS7T5tSvPl+XYn8K/wC2/wC7r8p4w8LchziLqVY+zqd1ofS8PRzTF4n6pl8PaOT0S1JNL0aazlaXQ7hdUjk+WW6un8zy/wDduF+9/u7dv8O6o4NCs49XaOzjun8RsGLjZ5e0bV27xu2Kn+781fnR8Qv+CwHxD1f4of2x4X0/SvC+hplf7KRPN+3p/euHX/lr/txbGX7vzbd1fVX7KX/BVX4XftEajYeBtaWx8BeL74L9ng1aVWs9Rfdyttcbl3y/7D7Wbd/F95v5D4o8K87y6c6uCXt6a/l+K3muvyP3DiPw3zzI8vhj8ypKEHvZ3s33PaNf+GGjz6zHqfizQ9L1rU48vbyiySZYV9djJvX/AK6turoJ/Ct5Fpq3F5JHcaLGq77USj7v8OZflWX5f4Pl/urmuutvD914NnaCxS41y4b5milbbdQ+7P8Ad2bf4G2t/CpasnXNS0Xwon9qPe295qUbM32SNdlvD/CV2N/qX3fxt8+7d8rfdr8jqZhiqsvZVHJ29fy+yfn+aZ1TpQ/2yv7ke7+88q+PGlx6p8NLuPSbKNbW4YQC3nRh5jKyswSJfmRlVf4ttfmt+1D8ND4Z8QW+qDy5lX7jou1du77n+8v3t3/Af4a/TLxpqGpfEe7uNUWFdLvY18lVmQtJs2/KgHCr/e81v723av3a+Sf2o/hZLqWlXUyXUkzSNsnSWJdscv8Aex/Du/vf8Cr9g8N84eBrKk5Wv/W5/OPFXFNLM8yTofBHT18z5b8N+FdDvPEX2nyWjVokldN+1vmVdzr/ALzfN/wKvWPD/gG1uIY2trWOSxzzcGBfNVf9hPvS/NXiuga1ceEfF1vb3EO9o90EWV/4933M2zc33k+8y/7NfQfhq+uNSjaSN49Nk2q0sYkXbJ/wL7q/7yt/wGv6CzTHYt0FGVSUo/4j+ZvEKWKpYyUOeXKzq/B/huz02FLbSmW62/NKSy7YW+9uZ/4W/wBlq9C0fULWbbpsKtHIyr56S/K2xvmbbu+X5lb/AGvlrw7xt8U7bwBof9oNDcabtbyUngx5lw7L91Fbbv8A4vmdf71VPhl+0hJ4k1dvD95oN1pmpQp9o/e7pJNi/el/vbv9nbt/u/LXyFTJ6+Ij7bsfN4fwn4qzbIqvFGDw85YOg7Op0T/4HU+nvC/inVfCWowWOh6lJ/Z9qwZrHUMz2u9V3RIjZDo3O75WVflWvWfh98c7Pxdq0kmqW0ljNaxNFuVw8TL96R0b5WZVYKvzLu+v3m+Q9b+Ofh74WeHFmvvFGi6LYXUgj+1a3fxWcIkcMx/eSMMzFVYqmc4Unsa6HwP8XPD/AMVNAgfw3qmm6vo8cm2W+0y8jngkKjAUTRkrvZuGOflr4TOuDY4qn7T2TVtOa2l/U8nIeM86ydRqV1KpQvZ6PR9ubb5H2Np/i+0g0i8vGmh+1XR3mKX5W+b5I1Ktt/hVf++mpzyW7aTb6VDNZ3E1xu80b0df9t2/+tXifwq/aAtNW8UwaPr99bXENuvl29xcMjP5391z/Ftx8rf3s16fbnS7i0kvZrXT5Jr75Io8J+7/ALgXj7zfeb5v4q/H80ySeBq+zrXXY/oDKeIqOZYdYij16Gze+H5E0/7Dp91cWsLIqPFJ+8j29cYb5lZv/Zqz7zUbq9njsVs1ktbZl+0NZuGVto4hAbb/ALx+b/4miHQEsNPhtbe4vEuZB8/l3ZaOPnltp3L8rfL93+GqN5ZXEh/sy11O6SGNc3JaJH2hm+VRtVfmdm/75rioU7y3/A6qmIlu3oTSeKNP1PUI5LxZItNsGdh5tq/lzS4+Y/db5UX/AMeWvfv2b/h3DommnxFJbRx32qRIlsQnlstqrbk/4E7Ydv8AZ2rXmv7NPhK1+IWvX1xd6lpd9YeH5/srWVq4MjXCfMVlVS21Fb/Z+Zl/u/NX0fHcZVXZtqyfMv3VX5v7tf134H+G7wyjn+NWrXuR307+p+gcH5OnH63UtJ9DSjk9W3fxcLtq5b65cWm1Vfcm/wC4fu1lW81Sbv3iL/tbq/qKnUml7mh+ict9djrLPxJDN8siNG/f+7WlDItxGrRtvX2rj45Kt2twYduxmj+lelTzK3uzIlH+U6f6fNXA/tT6+/hf9nDx1eRnbNHol3FF/vyxeUn/AI8y11FrrsnyrIquvr/FXnn7XF3HrnwosdGj/wBZ4m8Q6Tpe0/xK14jt/wCOo9epTxEJoyPT/hz4fHhL4f6DpajCabp9vaqP9yJV/pW1RRWwBTf+WlOoqebVAVrh8L6qvLcbuPp+FflJ8MfHvhbw54HsbDwT4w/asbwnZtLFpv2XwXos0CxLPLkI72+5k3btrN/Dtr9WryTZE2Tjjr/Svyn/AGR/H/h7R/2b/CNvc69ocM1vayxNHLqMSyLtuJfvKz7lb/er8H8d85eW5XQqPBxxPvbSV0tNzx86zvFZbTVTC7s+nv8AgmHqnhHXfFPxQvtL1n4nax4tuLrTI9f/AOE10q1065hVbT/RBFFbxInltEz/ADfxNmvZPiB+xj8Lvij4E0Lw3rPg/T7rQ/DF3Lf6XapJNarYXEpbfKjROrLI3nSHP3m8xvVq+Zf2B9VuNc+I/wC01N4RutPvtYjs9IWwkt7lJY/tX9lyiLdt3L9/H9V+UV538Mfgv4m+I/7MPiHwtrHh7xRrGrapceHLW21O7tdbsX0fWrxHtdUmeKW4Znks1Z5nuk2xSyMm5W27q/SuBMV7fI8NW9mqd4J8q6HdgcZUxNFVqvxM/Sbw14as/Bvh+z0qxj+z6fpdultao0hZo40VUUb2JZvlHVm3VnXnwu0HUPEesajNpNjcXniLTk0vU5ZoBL9utI/N2QuHyGjXzpfl+7+9bKntjW+lat8IdE8G+G/Cfh2TWdB09YtKubi81pkuNNtIolRJS0odrqTj5izbm7szV4V8cP2fdH8Qftkav45udN8W6XY+B/CE2s32saLNf+fq1/PDcW0MVvCjNHLJbW0Mr+UkbM0s9s33lVW+wOo98+DnwP8ACHwD0i40zwfotvotneSC6mRHlkkkcIqKXeVmfaqIqKD8qqu0Y+7XdxNlB/Uba+Vf+CX/ANj1P4eeJdU0tvEmk6XqmqpcWfhnV4tRV/DcX2eJUiZ75N73Mm1pp2i/drJO6/My72+q4P8AVigBKKKKACiiigAo3f7NNeXZnjce1fMulf8ABT3wjqukeNtYj8P+JZPD/gu8l0v+0IZLCZtW1Bb/APs6Kzt7ZLlrlZJ7n5IvPiiV9u7dt+agD0D9tzRv7Y/Zg8VOq730+GO/TH3v3EqSf99bQ1UfDeqLrnhvTbpW3/arOKTf/C25Fo0P4w237VvwB8ZRaRouqaXqlm194d1fR9bWOC60i9SL54pfKeWNsq8bq0burLIp3c1598BvGj6x8C/DLI25obPyGP8AF8ny7azqVI0480gPQLzUI7NWZm+b0rC1PVnuPuttWoryZpG+b5m96p3ElePiMdKfuxN/Z9iO4k4ZqqSN+7+9uqSRmb5f71VXZpGCqrNubC/K3zV5/N/MWotysiO4/d/ebbu+7n+L/d/vN/s/erD8YeM9I8A6BdatrmqWOj6VYruuLu7lWOKH/eP97/Z+9Xzr+1//AMFVPAv7NEtzpGjtH4z8YKjI1lZS7bWz/wBq4uPmX5f7ibm/3W+WvzD/AGkP2tfHH7VfiBb/AMXaxNdW0P8Ax66bB+50+1HokX97/bbc1eFmWeUMN7sNWfvvhr4A51xM44zGp4fD93u15I+wv2vP+C0DzJcaH8I7drdo2ZG8SXsXzL/tW0Lf+hv/AN818AeJ/E2peNNfudU1W/vtT1K8k824u7qZpJZmPdmb/wBBXavy/dqm483c7fKv1/8Aiq2fC/gDVfGkqx6favJH0advlji/+Kb/AGV3V+f5hm9Wu+epKyP7y4Q8OeGuEsLFYWnFSt8b+J/5GDFDufb1P+ytcv8AGbwCvjTwrIINn9pWf723J+83+x/eX/Zr6t+En7G6+LZVW6WbVFkPlPLtaO3ib+FV2/M7N/dVd27d/davW9e/Z/8Ahn+zfoMd/wCLri3t41T/AI940RZWb7yr95vm/wCBV89lvGUMNmVOGAi6tVPSKVz8+8XfFnhLBZVXwGcS92aa8/l5ny5/wT9/4LeeNv2cNNtfCHxAuNU8ZeAbcrbxo10y6lpZU9Flb/XRr/ck3Mv8H8Nfrl8L/Fvhf4yeB7Hx14V1rS9XsbxPNt723k/cK235oijHcsir97d83y/N8vy1+BX7VWheGfij8YNQ174f6LdaXp90v+lWiS+YrOoVfNX/AGW2/Mn975t3zVo/sXftseMv2JPiLHeaPt1LR5pVbV/Dt6zfY9QRPm4T/lnOv8Eq/wAQ+ZWr988YPop0+KMljxDlmG+pZg4c06drKo+3ZM/y94i4er5tQjjMJz8j+C/XtofvvcT3Hiq136YjafcR8faJV/1m7+HH8aN97d8q/wC7Xj/xc8Af25Z3k4nvHvI/3N1F5qqrJt+6o/8AQf8AZ+Wuo/Z3/a38Lftn/DOz8S+Abr7RMu1bxLiVVl0e4ZdzQTJ95m/3V2t/s/drQ8YeDZPEkUkt1JM+pwoyNHJKscS/7OP7rdfmb5Wb/gNf5nyy/H5Hj54LMKfsqkHqnuj8Tr0a2ExDo1I+8tz85f2gfhBPY6u11ap56orNDLz5qrt+4f73Tb/e2tVX4WeO4bvT47e+a41L7OnlPbuu6WH/AIAv3v8Aer6a+MHwy0u8gkkRfLMbZliR2Zrd/wC+v3t3/s33q+bvHnwmm8O6p/aWmXlw1wp87akJ3Tf7cTbV+b/pk1fv/Duf0cXhlh6zPK4nyiOZYbmirzR2PiPw/H4/0BUvLrNnbuksA37Z7d13Krb9rL/F9xqsW2h/8JJ49XxPeatqFxrCxC3im1CGNXZAMAKibfl2jG75q8/0Dxv5s0kjpdancQt+9mX93Jbt/tptXb/u7Wrqf+EufUI/9Nkt79Pl/wBHT5W2+6/xt/wJa+hlTq0oeyjsfDUeOOKcuyetw7hcVKGFqXvTW2tr/fZXPP8A9uzxNa6D/wAKlvNRa20Wz0/4iabLcambgRxwKIrklvMYAKAOdzDtU37OetHXv2pviZ4i8E3VvdeCNQsrC1n1SF8WuoagvmedLG4BSVwpWN5VBUk9T271vFC+Vte8aztvu/ZLhvM3f3QzfL8v+z81F5qC3UPnXmnrHbr8qvaOqySf3d21VZl/2a6I4xQwP1Vw1s43vpZyjLa2946a+dj5almEf7O+punaTi4XvpZzU/htunFJPmtvpc7y08bzPGkkNs0FvZnzEkSdJFZk+bd8yr8vysu7+L+HdX1R4T+I1n4s0Sx8QXukSJ9st1a0ieyRmXcPmb5fvM33f9lf9r5a+J9Hjk8Q6jDa+ZqVs9wu2C2kVm/u/O27+HrtVm2r/wCO19TeGtVk0XT7Dfqdre3UaiC0tiqyN8o+6zK6/wAPzM+3/vqvx3jrB0p8ij8f6H1fAOX1aNOUmvdZ6Ta6po9rIGkhVLy6/hEUsSwqv/LLp91V2/N/s1W8Q6zp+n6PcR6XdXUNz5T3EtxFdS7bWLY2+XH8TbVXatYS+Kr3w7Luup9Nkvbxd7FpWi2xf8C/5Zr/AN9NWN43+Lnhm08P6lZw6n/al7qEDq7QJ5jNKyMqsWwq7fmX5V+6tfneDymtLEKUU2fZZhi6VClPnn0PEvCniK/8Eaot/oupalp99C26G+trgxTt8332P3m3L8zfN/FX0t8GP+Coni7whLFb+LrGHxVa42/a7dVtdSjX1/55y/8Ajv8AwL71fMUdv5MKIy7WVFVv++aXyVkXb/Du5H97/gX8Nf0dlOe43Axj7KVl26H4zlnG2YZbiJVMHXajf4eh+qfwU/aw8CfHIJHoWvWralIuf7NuiILwf3sIzfP/AMB3V6ZEzS3Sr825fvAq25a/F/y/nVt0mVbru3N/47827/er3H4F/t8fEj4btDYpN/wmWmr8iaffK0sgHoky7mT/AIFX6VlviVhnHlzCXJ59D984T8bI4qUKGYUnd/aS0P06jk/2qsxyfdrxn4Wftf8Ah7x3p9r/AGtDN4P1C4X/AI9dRlRo8+gmVmT/AL6Za9ds7j7VbrJGyyRsu5XRlaNv+Bfd/wDHq+/yvPsBj4+0wVSM15M/d8HmGHxMOfDyujRjk3VwXxaUa38X/hJo/wAred4hm1R/9lbOylZf/Hplrt7eT5WbdXFW8a+IP2yfDtu3zLoPhS+vfk/he5uoIFP/AHzE9fR4Wn+9tfU6Z7bnuVuzS26My7WxT6P92ivojEKYz7dzU+msm6gJfCQTuVRmLZVetfix4b/as8QePNE/tmH4P/sn28eoTXEiR3HgKWWVR9olVS7/AGjl227mP95q/aa+P7llDbd3y/NX4l/D/wDZq+NHgbwZa6TefA/4nvcWbTo7W9tZPE2biWQMp+0/dZWWvz3xAqZlHCU/7Khzzvba/Q/LfFDGZ/h8HTnkMXKpfWyW1vM+3f8Agkd8d7z4owfFTSdV8H/CvwivhO909jL4N0g6Va3i3Np5rNcIzt+8Rfl3bvutXu9t+3D8JZvh3rPiyTxppdp4c8Pm3F7eX8MtigE67rZkE6K0qS9YmiDLJ/Bvr5f/AOCXH7NPjH+wvj1b+OPCfiTwNY+PI7DT9P8A7VjgWaVP7Ne2mlRYpX+6z/xMrNxXZeBP+CbXijSf2XfiJ4D1LUPDEdx4k0LT9G0iOGa8vLO3urW3kgl1Z2uA0kU91vTzI49yosK/PKxZ2+o4f+sfUaaxceWdlf1PteGauLqZVSnj/wCI0r+p9mBkUptbvjcAo35/Dnd14rz/AMVftM+BPCnxGm8I32ubfEUMJd7eGzuJ1jPktc+UZURkWdoYnlWHcsrIqsq7drV0vijwfqPiDU9GubHxJqmhw6bdefcW1nDbyRapH/zwlaWNmWP/AK5Mjf7VfPz/ALDviHTf22r74iaXq2nw6LqmvQa9cym8ul1DYmlLYy6Z5P8Ax7PbStFby72+ZWVvlZtrr7R7p7J8Bv2mvBf7SlprNx4N1i81EeH70WGpRXOnXVjNZ3DQrKIniuI0dW8t0bG3+KvRo/uCvMf2XPgtefBT4KaXour30epeIpHuL/XNRTeV1DULiVpbib5/mZfMYhS38CqOlenR/c5GKAG0UUUAFFFFAFe4ikctsbbuHp/vf/W9enSvh/Vf+CSWueJPEk+pTeJvh/oN14fS6fwzd+HfBqaZJd3MurWuqxS6siS7LhYpbRE2Jt8zzZZNyO1fdFFAHkX7KXwE1j4KeGvE03ibVdL1rxV458QXHiTWpdPs3trGOaWKGDybdHdn2LFbRLl2ZmKszferxT4Bq+j+Gdb0Vl2tout3tlj+7tdm/wC+a+xmBL8dcZX6818k6fZ/8Iz+0R8UNLX5VbUrfUUH+zPErt/481ceOjeloB0lxJ+8fa3y1RupPL+838O6marrFto+ntdXlzb2trH80s0sqrHH8v8AE397/Z+9Xyh+0Z/wUE1XT5LjS/h7omob1Zlk1u5sn2q33d0MTL8zf7bbf91vvV8DnHEuAy2F8TUipdup9Xw7wvjs5rKjhFdd3oke8fGj4+eGPgNoa33iLUo7fzF/dWafvbq6/wBmKL73/Avu/wC1Xw3+0Z+3J4n+OdveaVYq3h3w3cK0TW9tKy3V0n92aZW3bf8AYX5a8u1uHxJ411241LUoNb1TUbxm824midpG3feXdj7v+yu2n2Xwu8Q3iJ5OjagV/wBtNn89tfh/EfiTWxt6dCSpw/E/rHgfwpyTJorE46oq1Zd9l6dzyu++AHh2Y5jt7i1VvmxBMVTd/ew275qqxfs6aHHL802psPRrhf57a970b9nbxFqYVpo7Oxj3bd8sm9vyQMq/8CrrND/Zq0/T42k1LUbi5G7pDtiRv9kt827/AMdr4GpxhKirSrXP2SpxtQwNPlp1X7vQ+cPD3wL0VNQjW20mS9vGb91HLmZ2+i7a9++E/wCyleeK7+G3vbdl3D5bG32qyp/flf7qR/7P3q97+EH7N/mRx/ZdNj0PR5PmlnI2yzL6/Nu3L/tMv+78td3ql5pPhDw9dabpKLb6ZGpbUbn/AJaXCLuY8/8AfX937tfBZx4gV68vYYaXMz8D8TvHalluEnNzPLfHF3o3wF8JNDp7W8l15DwRXG3y44/l2u0Q+XbEu1t7/fb7u7b978l/2u/j5ffHX4j3G2Zm02Odlt4n9N33vl/8d/2dtfYX/BQT423msfDC5uYWay/tB4dJtYlb57eBmZm/4Eyou7/er88dfRo9dYL8vnbWXH+6vyiv9Q/2fXgtgcQ5cUZxadRtqHN0atf566H+fPDvFWI414mlmWZy5qUZWhD0O80DS00ezjSFdrMi7pE+VqNR8L6dq0nmXFlbzuV2sWT5vruHzVX8M+Kre+s0jkdUuI12sD/F9K2h8vy7Wr/WLEZdRqWp4iHyZ/e2UxwFfCxhT5WvyNz9nT4j6h+yt8Q4/FHgto9O1Jk8i8hbc1vqUGd3kzJn5l/2vvL/AA/3a/Ub9nL9obw3+2L4PbVIb5Yde01f9N0iRljbTd38WN372D/bb+983zblr8nWDP8ANtrU8GfETUvhX4ht/EGk6hJpeo6e37q5Q7W/2kb+9G38SN8rf7P3q/jX6TP0Pch8RMBLG5TFYfMYL3JRWk/KX+Z+d+JHhbgM5w0q9Bezqx2eyfqfrF4g8PW+oTtHaiG2vrf/AJ5j5ZB/vN8u1v7v3l+7Xi/jfwLeNcXDJHY6asnzNb3Lblk/20P3Vb+7/F/s1k/s7/8ABTjwP8dNDttL8Qvp/hXxZCyxRQXEq2trdN/z1hlZtqL/ALD/AMW771ew6/KlwqHVFj1hZPniW0/eRqv99Ytvzf76s1f4k8TcA8U8D5jPLs/wsqUovdrR+aezT3P4pxmX4zL8Q8PiVZx/HzXkfMHij4K6b4j1Le0mp/bo+nkJ9mnX/df7j/8AAt3/AAGufb9nHWo3ZbCXTyzfMq3i/Zr5v9113Izf8Cr6fvvDd3rdm/2dVmsd3ygtuuof93+H/wBBasyPwVDeIzW6/wBtGPho5fmlhP8Adz/C1GF4vxFOKSf6nk4zLcHiVecNT5us/hd4q+2LbLZ5kbvqsqSRt/un+L/gK10fhv8AZz1u4vt115Ymz/rdPl+0LD/s7W2ru/2V3NXtEnh+RrOSO91OSzhZtv2KVNyt7bl2s/8AwFqmk8Grp1m01xayaNp6r872Uqru/wB/7u1W/uqrN/tV11+MMRVhyJpfI8inwzl1F881t5mP8PfC9h4D8yPS75pNTkbbPcXyKzR/7LS4+Vf9jdW1rvjNfCkkiPHpes6pNF87fO21OxbcSoRf7q/erD1Txo3lta6ZN/oMa7WluIF83/tkrfd/3m+asezsY4YNluiou7exVtzM395mrio5bWxU/bYm58hxHxxhMFF4TL/vK9zE99cvNcNHNNM293Kf6z/aUfdRf9lVp3l+XHtXcq+m7/7GrHlr/eXd6bvmpPJ/4D9flr6anGNJJQgfi9fMcTXk51Z3+ZU+z/7tHkM3yqvzfLVzy2/u/wDjy7f++v8A2X71aHhfwZfeNtajsbGObczKssmxtsKsy7f4d3mNtZVVV3N/dqcXiY0qTnUdrHTluBr47EQw+HjzTnK1kejfBz4P6NJ4RsdY1S3jvri8iE6LcL5kUO77o8r7rtt2/e3fNXr9j4LvorFGf7Hotmo3q91L5bf7O1E+6v8AvNXLeIPGmj/AzQLaH7ZbyTaTEkKG4XdbWbqFXayr80s/+yvyq3y/w18//ED9qHVPE+pO8cMl027c1xqDNK3/AAGJflT/AHdzV+Ryy/H5vVdSL9zzP9NvB/6M9XF4KFfHU+XyPp9n8MWUjreeK7eT+/HZp976/f8A/Qa2/Anx10X4XM39jeJ9Wjjb70MsUt3bN/2ydG2/8B218QzfHjxNIoVLm3t1/wBizWNf/Qf/AGarNv8AtEeILfarR6feCNdzl0MTbfrmvZy3Ic0y+qqmDryjLydv0P6Ywn0fcNgqTVONvQ/S3wX/AMFAfB88iw65M2nvuA+2W1vcPF/s5Rl3r/wFW2/7K16T+z1run/ED9ov4geINOurXUNP0/StK0u1uLaQSRN/r7lwrf70q7v9qvzY+Bc/iz9pPX4fD/hnQZv7VvBuR/PZoIYu9w+77iL/AH2b9591d1fqL+yz+zlb/sy/Dv8Asa1mhvLi4k+1X10lt5Us823axwOqDCqq4+6P71f2d4S4nP8AEYN1c4WnR9WfhPGuUZfluL+rYWTc1v2PWlkWONV3fw08/wCz81fBep/8FmI/Desaol94Z0Cb+0ZdbsvDOj2PiTzdc+26deJZiDU7fyttks8km9G3P5ca/MpZtq/Sn7MPx71r4rXnjTw/4s0fS9E8XfD3WU0fV7fTLx7uwnElpBeQz27uiNtaK4T5WVWVlcfNtVm/YeY+IPYA26mtu+aiPd5a7vvfxU6jqVEr3I3ptyy7uDj5f1r+UvVv2oPilfa1qk0nxX+KjySajfM3/FYalGv/AB9SrtVVmXav935fu1/VncIw3fNtGP7uduO9fzmeJP2Fv2bdL8Vaxb/8NweA7Ly9Suy1vJ4NuWe3LXEjNEStwqsysSv/AAGv07wvxmBw+OqyxtGVVWXww5zwc7wOJxFNQw259u/8G0Xxf8TeNvhh8dLjxN4m8WeLI9F1mxe2XU9SuNTljRtP3vEnmu7fMwztX5vu17/pf/BSPx/qnwmbUofhnBH4sk1eyt5NAa31wXWiWVxa3N19t1CMad5yLttti+VFKjSbl3cVwf8AwQa/Z5+Gvwx+FXxVt/A/xr0f42WHiLVbYapPpWnS6YulbbTy1h2tK8m50Zm3Ky9sDduavpa3/YF8G6Xpdx9n8QePrfWJHg8rXF8ST/2rZ28UUsEVmszZ/wBGWKaZAjq3zSvKWaULKvxvE9SlVzavUw8OSF3aLVmvkelg6M6VGMJ7pHq/w++KWl+OPAXhfWl1bRJI/E1nDdWctpeCS3vmljWT9wzhWkXnK/KG2/w141d/t4rN+13qPw3tdJt5NN0e+XRbq/e6lhnkv20/+0Fgh3QfZpGaN4kWFp1nbc7rGypur2LR/gb4R0Pwt4Y0e38N6G2m+DYooNChuLNZ20tIkEaeUz5ZGVVUb/vetcvqv7JXhG++Pcfj2T+1f7UjvE1V7Fb51064vktWtY717f7rXCQZRX/u/wALMisvinUWf2Wfj7dftEfD/UtYufDd14VutO17UtFfTrmdJp4fsd08H70p+7V2VFbYrNt3bd3G6vU06VyPw1+GelfC3T9Th0dJ/L1rV7vWrnfO0mbm5maWbb/dXcTtX+Hha62D/VJ9KAEooooAKKKKACuS+NXxq8K/s8/DXWPGXjTXNP8ADvhnQIfPv9QvpRHBbLlVGT/eZmVVXqzMoHWutr4m/wCC1P7LXxP/AGkvgK3/AArnXdNDaPp+pLdaBqGkT6kl8ZbVkW6hjhbzZLyJcpAu1lV5/N+8i0AfQ837YPw7g+Ndv8O5PEsKeLpyka2bW08cazSQfaI7VpmTyVuXgDSi3L+b5fzbNvNeEftZ+ItQ+Evx61DxRHotxeQ65pENpFGX2K00ErfOzj5fu7dqLudv7tfEvw6+Nfxa8TfEn4b6r4h0jw/o3wo8UeJvDvxW8TeOINAvbq20fWFRdOfSGZWVbf8Af2So25na2+1bZfusrfrr47+E2h/FTQprDxBY/wBqWckexYrhmHlf7S/3X/21+auPHYd18POgnyuXXsaUJRhVU5K6R+Z/jPx/rXxNvVuNavmuvJb5LYKI7a1/vbU/vbv4m+b/AGV+7WSd4l2q7f8AA2b/ANmr6G/aH/YD1vwBJPqvhT7R4g0mP5/IVf8AiYWo/wBof8vCr/s/vP8AZb71ea/DL4X6P4u/dza9ILlW2vbxQeQ27+JdzN8rf7LbW/2a/hHxV4Bz7K6s8wxkpVqX8y1t69j+jOG+OMmWFVOC9nNdDhTuZd27d/uP/wDE06zsZNQuvLhhuJpv7sSu7tX0Bo/wC8O6U6s9lNfOv3ftkrP/AOO/Kv8A47XVafo8GkW/l2sFvar6W8SxL/46tfzliOLKNJcsE5HtYjjJfDRhc8H8NfAPXtb2yXEcOkQ/3rld8v8AwGNflb/gTV6V4S+CGi+D2WcxtfXkfS5uMNtb/YX7q/8AAt1dvHbq0i7Nu/2T+e6uK8WeOzdz3FnYK32dV8q4uD/F/sp/s/7VeJLOcbjfdj7sT844s46+o4eWIxk9tolHxr4z/tUTWNj+7jX5Li6QfNKv8SL/ALNeU/tCXcmj/CW5W3Xy0vJ4rU4+b5H+8P8AvlFX/gTV36QqEC9F9BVHxR4StfGHh25028Vmtrxfm2NtZSpVlcH8K9jKcRSw2IpzmrxTuz+L+NeIcbnzqVJu107I+EP2i/hPJ8XPhZeaVY+W2oW7rcWTv8q+crfc3Y+80e7/AL6r4Q8YeD7qyvprG/tprO8t3ZGR12yR7a/XPxH+zL4g0yeT+zfL1i3jPyFJPKnVOylG+Vm2/wAW6uG8Y/AG+8VwLb654NvNSij/AOfjTfP2/wC66q3/AI7X+j30f/pU0+B6KwyXtaDd97NNn4vwvnmbcOz9nOlJpbM/KNvDt9Zs0iR+cvrG4Zl/CpIPFeq6Qdu6SJV/gkr7/wDFn7EXgW6kZZNF1LRJl+8YppomX8Jdy151rv7AAutQ/wCJZ4qt1sZP4LqHe6/TYQrf98rX+g3Cv09OEMdG2OfJbutfvR+75L9Imph7Rrc0PwPk+T4malJ8vnW//AQtVLi+1LxI6yNHcSf3Ts2pX1pD/wAE6bqILu8UWqeuzTXX8jmtzSv+Ceeij5b7xFql06ruYQwJG3/szV9Jmf03eAqC58NPnfo2epm30nqVWm6SqSf3nxvZeD3EbNdttj/ijRvlb/ZZv/2q+hf2Pfjn8SPhPr8dr4PsLjxBpUzK0+lOjSW8i/d+STd+6df727/gNe9+Dv2QfAnhB1lXSP7TuF/5a6jJ5uf+ArtVf++a9Is9Ph0+zW3t4YYbdW3LGiKsf/fK7a/kXxq+lVkPF2EqYCOXLERkrc1Wyt6dUfh3EnjNLHT5oR55rY77wd4p034mW6TX0knh3WGTdLYNKu1f9ln3bZf+BfL/ALNa11okmrFVSyjtY4R8mopujVdv8Squ11/8dWvKbq3WaJhIqtH/ABB13L/e+WvfPg74M19fCdtNqmrTeUx82GIqGuLeLbtVfN/2l+b7u5VZV3V/mLxJhaWDbxNOfLF7RfTyRXCPGU8zbhWhZo5PV/B+pbYVs4/+EovZF+WLYI5FTb/rS/3VX/x7/e+9WPafsx+JdcuPO1C40+zXduETyyvHD/upj/2avoDTNEttIs/s9vDDDDu83AX7z+rf3qsNH/FtWviZcXVqWlCK9bH0+Y4Sni/cq7HjNn+yukkf+k+ILx/7oitURf8Ax5q0bP8AZb0RV/0i+1a4/wCBxR7f/HGr1Py933vmo2VyVOMM0qPWqzy6fDGVx2oo8d1v9la3aNv7N1u8jb+FLxEnX/x1RXOyfsv+IIbjYk2jvH/FLvfav4bK+hjH/sruptppd1rmqQWFmsa3NwvEn3VjVW+f/gW2u3B8bZpBW9pp5lUPD/LsyxUMPTpay7Hh+i/sn3k2pQx3GrRzSyfMttp9uqzyf7Idm+X5fm3ba3vHXi7SfgB4OvNP03yYBDuW6ntl+eR9rZhjdju3tt+eX738Kbdu5vfPGeiW/gDwBrV1paLHPHbOi3EnzS7W2qef4flr4n/abguIjop+9Yx79yfw/aFZfmb/AGtv/j1etkGcV87r/wC0T9w/uTwB8Acny/GQxeIgpVF+B83/ALUHx81iTWY7aNvJupomdHT/AFdjCzfciH97/bb5q8Wl8e65cWjWcmsX32dv4Gl/rXtvxl+GknjfRITbeWuoWLE7CPmkTH3P++t1eF6p4fvNGbbfWstmy/8APRCq/wCf/Qe+2v6U4f8Aqf1eMKUVp0P9VOEcDlWGwfslGMXDuXPD3j7XPCZ3WmpXHlbvnjlYyxN/F91q+zP2IP2fPE37YWsaXBp+jyW81x87/aN32aG3x/x9Snb8sX8SfxSN8u3btZuR/wCCeP8AwTV8SftSeN7We6sfLsY1WZvtaM1rZxNystz/ALy/OkH3pPlZtifM37m/s+fADw3+zj4Fj0Xw5D8u7feXkrK1xqEq/eklcfLn2+6q/Kqriv2Hh/gHD4jlxmPh6L/M/k7x+8a8DTqSyXh1++tJzX5L/MqfsxfsteHf2YvAsel6LC013dBH1DUJYts2oSBdu4j+BegVOiqo/iy1enfZmkj2t8yt15+9z/h/laWG5DQD73p93H/7P41OhzGpFfrdOlCEVGKtY/iCpWqVZe0qO8j5n8Wf8EwPBfxA8YeKtW8Sa54v14+Ire9gtYbi9iifQ/tTxyvLbzRQrO8sckcXlPcyT+Qsaom1flr079nb9m+z/Z/0zXP+J1rHijXPE+o/2vrWuaw0TXmqXPkpArOsSJGipFDEiqiqu1a9MorQzGp0+9uoz+8p1FAFa4kO1lx05z0+lfx1+JN6+Kta27tv9qX33P4v9Kl+av7Frn5fmP3Y6/nY8Q/tT/so6p4i1W4P7EOjXTSX91vnfx3cxNM6zOrOU2fLubLbf4d1fvHgBxNismzTEV8Pgp4l8iVo2776nuZFg8TiKjjhqfOz6d/4NW9Zk8N/Ar9oTUEsbzUpNP1exuvstpGsl1ebdPZvKRfl3SNjaqs33mr1OD9sv4neMfCXiq+8Wa1488F29n4/+z39rNZweGb7TLSXw4t5babZ3F2vluILpcy7282f7ybt6wt1n/BBD4sfCz4m+Bfida/DP4M2nwdh0vVrNNTtrbWn1VdUle23RuzOu5Ni/LX2t4w+JHgXQ9H1C617xB4XsdOtbyOyvn1G8t44oboqrpDLvb5JWQo6o3zfMrYr8149xksXxFi8VOn7KU5t8j3j5HnYyjOlXnCqrSOY+A/xm8UX/wABPhLfeKvDOtXfijxhpNk2sHTbaLydLuGt0eV5lZ02R7ifuK21vl2188ftEfHDxR4E/bc1xrX4g21zaxxf2Xp3hW01S6SfQz/Y090dRu7BLdvtFsrje8qs21Qir86+W33BDPHcW/meYrQyfxhtysP96sjU9V0XTPEVst3caXBqd7FNFbiZ0S5lhjHmSiJT87qvyllX5drBq+ROQ+eP+CYfxB1jxX4F8TaXq3im48eXGg3dmv8AwlEWsvq2m6s09lDK620rxRbPLc7Xj2ttZscHcq/VSY28Vyfw48X+GfG2hfb/AAlqmh6tpPmun2vSJ4rm28wMvmJmIld397+7xXWJ0oAbRRRQAUUUUAFcH8dfgBov7Qnhiz07VrjXLGXSb9NU03UNH1SXTb7T7tEeNZY5ojn7ksqMG3KyyMCrV3lFAHzuv/BMv4V2K6Hb2em65a6To8VpFPpEOvXo07XPs1y91C+oQtKy3jrcyyS75dzOzfOWAr6Eit/LjVOy1JRQBDJFh8YU/wAXNeO/Hn9kjw78WxJqFq//AAj/AIkVt39oW6bVkOP+WyfLvXj733v9qtr9qX9pDQ/2ZPhdL4g1a4sUury8g0jSLa4u4rVb+/uG228BlldURWbLMzMu1Edv4a+D9T/4K5/FC4+DPwx8UaHaeC9SuLzwm3ibxa+labcanp1q66mLN455kmT+z7PYkzressvzW0m6JVVlrnxGHpVqbp1YqUZdO4LR83U9S1u98UfALWI9J8cWEj2dw3l2upxtvtrr02P8u1v9h9rL/tferq7fXLK/0tr1LmH7Mq/NI7bfL/3t33f+BV9P694H0fxlprxajY2OpW9xEyMlxEssbIf9n7v4/rXzT8bP2E9S8Lxyal4BuZryxjfzX0a4l/eL/swu3ysv+w//AH1X8r+J30Zctzdyx2RWoVN+TpJ/ofSYXieth6Uo2u7aHAeKvGM3iVTb2rTW+n/ddx8r3H/2P+z/ABferK+z7fl/g9qztL8SLJcTW2oQ/wBn39u2x4JV8uSNv7rJ/D/6D/d+Wtn7O3y/L975ua/i/iDhTNMgrfU8woum13/zP554szTMMXjHPHXXl0K/2f5fvUvk/dqzGn7xV/ipo/eXn2aFZLi5b7sUS72b/wBlr52Mp7o+dw2FrV5WoJybIPLVpP8Alm31XdT/ALOvmbiNrf8Aj1b9r8NtcvF+aG3tV/iF1L8y/gob/wBCqzF8I9Qz/wAhDT40/wBiF2b/ANDWsvrlOGkqlv68j7LDeHefV4qcaWhyc+nw3kflzRwyR/3HVGX/AMeWs27+HXh7Uo2E2i6PMv8AEfs8S/8AoK7q9C/4VNeCTaurW7p727r/AOz1Xk+FmrlCyzaXNIv3Y1V13f8AfS/eroo5zyS/dVgxXhbm0I89TDpo8qvv2evCN8mz+xreD/aidkb+e2uZ8Tfsn2c8Cto+oTWb7vuXf76L8OjL/wCPV7BLbtZTvb3NvNa3Ef34pV+Zffd/EtHlhv8Ad9PevZwvEmYUKilGofmuY8K4ZSdDE0eV/cfInijwveeEdeuNPvlVbi328p91g33WWs/7NXrH7U+ntD41025K7vtNgY/97Y/P/oa15l5flnbt+78tfu2R5g8ZgYV57vc/nXiHLlgMxqUYbJ6FT7P+7Zd22vUvhv8AtEtodtb2HiBN9vCoSK+iTc0O35V3p/F/vV5v5ftRj5st/D93Hyt/31VZplOHx9L2VdfPsLJeIMTltR1Kbuux9W6Xqdrr1ml1Z3Fvc28zfK8T7lb/AOJb/Z+9Vto8DFfK/hXxZqXgO9a40m5a1kb78YXdFcf76f5b/ar3z4WfGCx+I1v5DKtnqcKZltv4W90/vL/6D/49X47xBwhiMB79J88D9r4f4yw2ZR5Je5PsdR5HvR5HvV37O21W+7/wKmeXXxXtLH2WpV8mr3gyNP8AhPtJ8zcw2zKgHy/vGRl/9BU/8CqMx8U2KZtLvba9T/WafcJdL9Fb/wCyNXTqXuj3uF8d9VzWhWeykeja54cj8U+H7rT513Q38D25x/CGXaWWvk34gfDaPxNp9zousI0MiTbHI+8sqjcpX/eXaf8AdavsSzH2izjmj/1ckasr/wCyy7q81+PXwl/tiJ9csf8Aj8tYttzEcKt3Eo3f99r1/wBr7tVwjmk6GJ+rL4r+76n99cK55DB1VNv3Z9f1Pzt8UeE7rwbqjWV8jRz/AHvMPyrIn99D/Ev+Wr2T9jz9iLXP2ofGX2WG3+y2FrtlvdQuIvMg01PvfMjL+9nb+GL5dvys/wB3bXrXwQ/Zv1T9srxXHY6en2Lwno90Jb7WpYFZo32r8ttu/wCXhlb/AHY9zbtzfKv6O/Cr4SaL8HvBNn4f8P2MFhpdiPlRR88j87nc/wAUrNyz/wAVf6O+Fvh7WhQp5pm0LTe0O3mzTxE8asViKDyrK52S0c11M34M/s/eGPgH4XtdK8N2UlnBECZ5WlZpr6VvmaaY/wAcrN/F74G1cLXy9+1L48+IHw0/aL8b6h4L+IXjDUNL+GfgfUPHniDQLuOwn0rzXt500rTYglutyqvLb3Fw7NKzbIFTdtf5ft3YawYfh5pEOvaxqcel6el74giig1K48hfMvkiR0jWX+/tV3+9/CcYr+g4+7sfze6kpPmmfP37C/wATfFWofE3xl4M8R+NZviPZaT4b8OeI7fV5rSCGaGXUYrkzWzeQFRkzbLLENu5Y51Vmf5Xf6gj+WPb95q4n4Qfs9+C/2ftJu9O8EeGdB8K6be3H2q4t9MsxbpNLjG4hfoMf3dvHWu4X5RQSFFFFABRRRQBXugzQMv8AEwwK/lbuPhR400rVNSjm8DePvMj1C9Vv+KX1Fv8Al5lZSv7n5l2mv6qHj8wMv8LenFQnT0LcqN3rk/4197wB4hY3hLEVMVg4qTmuXU+k4b4krZNWdegrtqx+U3/BuP4B8UaL8L/jwf7L1jwzq2pajZx6Tc63o1zBEJVsCqP5UoRpEVz820ru+7XrfgD9iX4q/DT4V/E7QvE/hvQPHFx4v8Srf2+peGL2Kz1iJ59EitLnVYm1J5Y1neZXR97Kyo8rJu+SMff62/kngfxZ5JP+e9SvHuX5TXzHEGc1c2zCrmNZWnUd3Y8nMsfLG4ieInvI8q+EXw+8feDPgv8AC/Rf7S8K6dd6DpNjaeI4ksZ7mKfyrZI3S0fzk2fMuFdt3y/w18+ftO/sP/FD4xftcv4ouL/whrnge+0bXdC+zFZbPU9H0+80n7OLWKVneJWnvNzvMsW77u5XVFWvtpOlN8s+Zu/2sj5j6V5JwnzV/wAE8fgR46+EkfjXWPG0cmn3Xii404W2nMlrG9qlrYRWZdktXeBWkaIN8jfMqozKjbo1+m4/u/d21DFBsC42rt/2ei+lWKAI6KKKACiiigAooooAKKKKAMbxd4J0nx1p/wBk1nS9P1ayVxJ9nvbZLiFm+bna4YDr1rxG4/4Je/Be48O6FpMXhF9P03w/ZNpcdtYalc2UOoWTTtcm1u0hdBdQee7yeVLuXc7f3mWvoeigCG2tVtYFjRVjWMYVVX5VHpTpIeDx/tf7tSVn+JNeh8MaHealcsy22nwPczkDcyoiszf+g1PKO5wfxt/Zr8NfGy1MuoQ/YdWhX/R9StwEuYV9D/fX/Zavk/4l/CLxX+zvcH+0oodU8PM37vVLZG+z7W6NN97ym/8AHW/haui/Zj/4Kfa9+0L4L8Xa9p/g7Q9cmtfDtv4n0HRNH1SW31S7hld1SKc3sUELoqhS9xbvLAjLLFuZ1Xf9GfAPxt/w01+zX4H8XapYR2f/AAmmhWOtXOnwyGSGMz26SmHcyr5iDftyVXdj+H7tfL8UcHZVn+GeGzGkpL8fkzgxmX0MVC1ZXPmHwH4Tj+IcLzSXTW9nG3zwR/6+Rf77f3I/9pa9G0Lw/Z6JaNDYwx2sfpH95h67v4q1Pi1+xAtnePrXw7mj0jUFfzTpcjstnI3/AEyP/LJv9n7n+yK898N/F+ex1t9F8W2NxoutW/yv9pXa3+//ALS/7S7lr+B/Fz6OedZRfG5I3Ww/8q+JfLqfX8J08qwUPY04Wl3O4aHPzfep21f7tOikSSMOjrJGy7lcHcrLUn3vm21/IWIp1aU+SrG0j9HUot3iQ4/2Foki8wr8v+781WNlNaNawjI05jB8b+FF8R6Q6R7lvLVfOtJQ3zRt82Rj+JW215naT/abOGQLs8xAdo/h+XpXsWsxzSaZcrbusM/kPskY7VVsdSf7v3vyrxrS9s2m220Nt2Dr6/xH/vqvrMpqTlh3zH87+MWHpKdKpFe/I8q/ax0p57DRb5VZltp5YWx/tqrKP/HDXjqx/wAO7cy8Ma+qPHvhNPG3hS90uRvLNwg8qT/nm+fkb/gLBWr5fu7GbT7ya2uI1W4tZXglCfdVkO3+m7/gVfvvh/mEKmC+rSeqP4j8TMtnSxSx0V7r0fqVtgo2CpfL6fL975qPL9q++8j8t9oQ+X/dp9vNNaXEc8M0lvcwvvikjba0bf3lb+H/AGv71P8AL9qPL9qUuWa5JrRm1DESpT9rB6xPoj4J/ET/AIWH4ck+1CP+0NPZUuNi7Vbdna6j+6y/+gtXZIMCvn/9nTXn0b4lrZr80eqWroye8Xzo3/oS/wDAq+gT6L0r+e+MMtjhMe4w2Z/SvCeafX8sp15b9RCnFNkgXY24bh6f3l9Kkx/8VVXVNUh0e2kuLlljt7dN7uTXz+Bw9bEVlRoLmlI+opU5Sko09zpPAfjKHw/DJYaldx29vGrT291I33V+8yf/ABP977q/NuWsjwh4O179u/xJLp+nyXnh/wCGWnzeXqOqoGjk1Z1b/UW5xtb+6zK3y/73y1nfA/4G61+2draXdz9o0b4aWb7biVV2XGtSq33YT2j/AIGf7vytt+9ur7c8KeD9F+E/h+Ox0e2XTdMs4sRWcJ2xRogYlY0P3fU4r+7PBXwBo5Y4Z7ntP9/LWMP5fP1P6IyfOsf/AGZDCYnddfIseA/Aek/DDwjY6Ho9ha6bpunriCCJdscfqd38TfeZmb5mYs1dBDtjj2qu1VWvzf8Ah9+3N8ajF4f8K+ML6+8LfE34k3ekrp0GteGbCOx0OwvLqdZbu2e3u5ftDRrEkWydomaSWBtu3dX19+xT8Yte+MvwaurjxS+n3fiLw34g1bwzf31jbm3ttRl0+9mtTcJEzHYJFiVim75WLL/DX9cLRWQj2Simr/Ft/vVxvxu+OegfAHwHLr2vzXjW6zw2draWNs91faldTusdva28KfPLPK7BVVfdm2qrMADtKK8+/Z6/aP8AD37THw//AOEh0BdWtI7W/uNK1Cw1Wxksb/Sr2B2jmtriF/mjdWHupVlZWKsGrv45PMjU0AOooooAKKKKACm7KdRQAUUUUAFFFFADo6dTY6dQBHRRRQAUUUUAFFFFABRRRQAUUUUARyTiPd/Ft64/z6VVvNNj1OCaORY5redGR0f5o2+q/wAX+HFYfxe1K40D4Z+IL+z1jSPD93Y6dNdR6lqkZkstN8pGfzp13p+6TG5vmX5d1eN/sCfts6p+1x8PdMu/EfgDxF4I1a602PV7SeSzlbRdfspJWjivLK6YfclVVlW3nWK5SOVN0e35iAaXwL/4J8+D/wBn+8u7jTNV8Vawx0L/AIRXTE1XUFmj0HR9+8WFoqImyJW27S2912INxVdtep/B34Xaf8EPhL4a8GaO11NpPhTS7bSLJrlxJK0MESxJvKhcttVc8V06yf3vvelOoAjaBZN275g3DD+GuT+KfwV8P/GTR/seuWC3Hl8wXKHy7i1P95H+8rfpXYV5r+0d+1B4c/Za8NLrfim28VSaV5c0891o+g3mqx2MUShnknNuj+Siqc7n2hu3NS4p6MDwPxv8IvG37M1xNdWjz+J/CanLyrHmW193QfN/wNdy/wC792tjwH8SNK8fWqmzmjS42/NAXXd/vL/eX/ar1u1/ax8C6j4v+Hvh865Ja+Ivilpkus+G9MurKeC7urSKFJ5ZHR03W+2N1yJdvzfLjd8tcp8Wv2LLPxbf3ms+H7yLw/rkj70iihxYzbefnRfuuW/jX+99yv518VPo95JxTGWMwkVRxH8y2fqj3MvzythnaWqKKpjg/L/ez/DQ6beqt1xXni/FDXPhhrH9ieOdMuLO8Vd0Vxt8zzveJvuv/wChf7NJf/GS81uNhpduljGy7fPkbfP/AN8fdX/vqv8APXjLwh4h4axboZhS9zpNfCz3sw4twWDoe2rSLPxe8QJOo0WHd50zJLcSfdWGJDu2H+8zf+gtXIRgeWu1Ni/wj+6v92nEMZHLeY7yNud3bczN9adu8xutePCnGjSVKB/NvFnEc83xftnpFaJDB0FeN/tCfDB0vJPEVhDI0cihb6KP+Bl+7Mo/i/ut/s17OFIpJIFmj2sFZfQ16mS5xUy/Ee1gfAZzk9LMMJPDVOp8ioFm+b7zSfO2xS33vmoMe7/9qvZfHn7OK3d5LcaNcR27TMXe2uVbySf9h1+ZP/Hq858QfD/XPDEh+3aXeJGv/LWIefH/AOOfN/30q1+7ZbxRg8ZBShNX7M/nbOOCcywMn7nPBdjn9lL5fzKu35m+b71TKqyTKifNI3yqn/LT/vn71dr4P+AWs+JGWS+WPS7Fm3MsiiSeT6D+H/e3V6GMzrCYWHtK01b8zy8r4ZzDHVVGnTlH1LH7NfhyTUvGlxq23db6dA1up2/ekfa3y/8AAc17oY8/db/erP8ADvhqz8K6THaWMEccEXKoPvM56kn+Jqk8QeI7XwpotxeX0ix29vFv5b5mVe9fiWZVsRn2aKGEhzOWiSP6Y4ZyH6hhIYOGsg1zWbPQtMkur6ZYbeHJbLf3V3N/47Vn9nb9nPU/2wb+317xFDc6X8Nrdt0FoCySeIjn5f8Adg/vf3v935qu/s2/sp6j+1Jqtr4u8bWtxZ+CYWV9N0dy0T6xtbcry/8ATDd8y/xN/u19xWVnFZWkcMKRwxxLsREQKsYHYCv7p8GfA6hw/SjmebRU8RLZfyf8HzP2zh/huGHj7aurzINE0G10DSLaxsbe3s7WziWGCGKPYkaKuFVV/hXjpU89jHco0cqxssi7GRl+Vh6Ed/8APrVqiv6YPsDwXQ/+Ca/wZ8L+G9X0fT/BNpb2OsG18z/TrwzWaWkrT2kVnN5vmWUUErF4kt2jWJidq/NXqHwt+FHh/wCBngDTfC/hfS7fSdD0tPKtbWEt3LSOS7Hc8jMzuzuzMzMzMzMSa6qvM/2q/wBqTwZ+x38GNY8fePdUGk+H9HibcVHmT3kuGKW8CfelnfG1UX1Y/dVmUA9I89WP973H44r4P/af/afbxn8e/DPiLR7i38dfB7wbqKXGs6INInj1aa9s3nb+19AmbYupxWvzfakg81lSD5N25kd37eP7cfxE+HvwL+E2uWcn/CsP+FkW8v2jWIJbDUrPSdTlSJtMtbnULgPY29rK0skslwyuu22aKJmd1ZsP9g//AIJ++FfifqHgj4tR2fh/S7HQ9Te+tW0/RH87xBfWslxEmqWl9cXEstvpNyzvcRWMCJHtlT5mUsrAHcf8E/fBnj/xt8XvHPjdtSj0X4Q654x1bxP4fjtUZLvxwLxIo4rq5iliSS3tYI4sIn353+dm8tUV/tO3Xy41XduqKC0CQKqr8u0feO78/Wpo9yxqrNub1/vUAOooooAKKKKACiiigAooooAKKKKAHR06mx06gCOiiigAooooAKKKKACiiigAooooA8r/AGrv2Z7H9rb4Z23gvWNW1Cx8L3mqW13rlna4/wCJ9ZwN5rWErfwwSyLH5mPvIrJ916+KP2ov2ifjpoX7beraL4T1r+zZ9Lv7HSfAvw8tpbWxbXkaCGeXVLn7VCy31i7NcQyC3niksVsVZNzO279KWXd/s/8Aj26uV+L/AMI9F+OHw11/wj4htRdaJ4i0+fS7+FGMbSW867HRWXlfl7r3C+lAHj3wY/4KbfDX4tW+vXF1cal4PsdDt72/S/8AEkCafbX1lZ3kllc3KPvbYsdzEUaKXZOu5CY9rKx9/wBK1211zS7e8s5luLa6jSWKVfusrDcrc9jXwz4t/wCCWV7efEeHw1r2sav4++F3j7XZfFHxGuL9rK1k1C4sbWCLTrSS3t0hRop2US3Uyq0k0ltBv2ruZe5/ZFbxD8cv2tPHPxC0fxr4vm+CuhLL4W8M6PdXkMmna7exOI7y/g2xLJ9lgaHyIt0r+Y/nv8q7CwB9cxyebGrL91vu15J+1z8D9Y/aD8K+G/DdrNZr4dm8Uafe+KLeZ3/4mGl2ztO9qo+63mzR26OrfK0TSr97bu9biXamPvct/Ojav93d/EtAHyH4h/4J9eOP+G+/C/xe0/4kfaNLttbvdR1axvNJt/PhtJNN+xwafDMqbmgRt77W27WnlfczNX1ytv8Au9rfP/eP3d1S/wDfO36feoo+zYDB8ZfDzSfiJoM2ma1Yw6hYTLt8qRfu/wC0rfeVv9oGvl34s/sf6/8ADKeTUPCr3Wu6OoxJa7Va8tU9Qv8Ay2Vf++v9lq+wM1VnePfhiu5TkZ/h/rXk5xkuCzTDPDY+mpwfc58Rh6dWDhUV7nwHpXimG/Xa7KnzeUcrt+f+4V+8jf7Lba1hH5bY7V9J/Gr9l/w78WZpL6Fv7H8RY+W/t0H77/ZmThZV/wDHv9qvmDxJ4X174TTxx6xYyR6fM7Ja3wRvsdyufl2My/Ju/hR9rf733q/ivxO+jVWw6nj+HPeh/J1+R8HnHCbj+9w+pcFH+1UNpqEeoxyNG2fL++P+ef8AstU42/3q/kbH5fiMDVeHxUHGa3T6HxMqcoS5ZITJb5d20f8AfW6hRs+UU7y6NlcEZNe8iWn9ohS3XGdq5/8AHvwZelOx5QJ/XbuP6mpNrNXP+O/H1h8P9GkubyZVkx+6j+8zH7q/L/tN8q/3m6V7uUZXjs3xcMFg4udSeyLw2FnVmoUok3jDxlYeB9Dmv7+aOGONWZQW+9XVfs4fsnax8bNb0vxr4/0nb4dhkWTS9AlZkkmGfluLhG6pn5lib/eb+7W5+yp+xpf+N9cs/HvxMs9kkeyfRtAlX5bf+7NdJ/FJ/EqN93d83zfKv14kWwfdWv8ARPwe8FcLwzh44vHx58TLr/L6f5n6nkPD8MJDnqq82eY/EP8Aa0+HPwf+J2k+Cdf8S2mm+I9ZFslrZ/Z5nWP7ROYLfzZUQxW6yyr5UfmsnmP8q/NU3ws/a6+HXxr8f634X8K+KLHWte8PmVru2hjlVWEUphlaF2RUuFSUMjNEzqr/ACkg147+3l8Avid8ffHGh6V4d0HQW0W01LRtYsPEY1u4tJ9GvbW+82Z7yxAaHUoFiH7qGQFVkdmO1tsi4f7Hn7IPxC+GPxb8H/8ACTaT4f0/wz8I9D1/QdJ1Ky1Jry58VrqN/bXEMrxbF8lUigG8PvZp2ZvuqrN/QR9Pc+yg277v+7TqbHu8td3zNTqBBXN+KPhloPjLxHpOsapo2nahqnh9pm0y5nt1kmsTPEYZmiYjcjNEzI237ysy966SigDwX9nj9jIfs1+IfEug6Hq0F18G9aUXWl+Cryza4h8M3buzXEVo5fathL8rraspWCTdsZY38tfdILdYIY1VVjKqF4XjHpU1FAAv/fNFFFABRRRQAUUUUAFFFFABRRRQAUUUUAOjp1Njp1AEdFFFABRRRQAUUUUAFFFFABRRRQAUUUUARTRvJ907e+dzVBpGkW2i6fHa2ltbWttHuVIYYxHHGPQKvAq5RQA2Pdt+b738WKdRRQAUUUUAFfn3/wAFQf2oviN8J/2i4V8GeKbzR/D/AIB8L2XirxBElxaW0VqkurLA00sU6NJqSPbRXCLawPBtkVcO8ssSr+glcj45+B3g/wCKHiXR9Y8R+FfDmvap4dk87S7zUNOiuZ9NfKtuhd1LRtuUHcuDlV9KAPn39nrRPEXiD9vD4iXFj8RPHmreCfh/AmlXumapexT2d5rV4kd5sRfKVoo7W2lhVV3fM9y25V8pd309rPhuz8TaTcWOoW8N9Z3CmKWGZd0cif3SKZofhHT/AA7PeSafZ2ti2pXRvrwwxLH9qmZVRpX2/edlRPm/2FrTVfKjVf7q4oA+Xfi7+xNeaHLJqngmSW6t4vm/smaTbLB/17ynr/uSf99V5DYa3JBePa38ckNxbtsnEkXlyQv/AHXX+H/gPy/8Br7+MSvn65HHf1rg/jB+z/oHxhtlOoQyW+poNsOpWhWO6hHpux86/wCywYfT71flXH3hHknFFJvEQ5K3Sa3+fc8jMclw+LWqsz5RMm+NXVlZG6MPmWnOeF/u1d+J/wAHfEfwOu5Li/RbvR1Pyarbq3kbe3nL/wAsm/2vmVv71cN4z+JS+FdMh8m0uLjUr6UQWdtGjSNcOzbUCBfvbm+Vdv8A47X8M8S+APEuWZnHBYan7WE3pJbfPsfAYrhvFUavIldMuePfiBYeAdNaS5ZpLlvlgt413SSOx2oNv+03yrXr37J37GF6NatPH3xEtYTrm7z9L0Zl3R6P8qhZX/vT7f4T8sf+9urQ/ZI/Ytn8H6rb+OPHnl3njBl3WlmGWWDQ1b0ZfleXb95vmVf4f7zfTluFEY+bJr+zfCXwdwPCeFVat+8xD3l/L5I+4yfJYYOF5fGMig8tVXb9ec1LRRX7Z1ue8MZN0ittVvcr92mpGyhlLcen+RUtFUAdf9qiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAHR06mx06gCOiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAiNwI32n07fN+GOtL9oX5vmX/vpaJIywbndu7HOPpX58/tY+EvF3gn4mftINY618SNas9S8LeEb+4aC5neSxsX1m7j1GDT1twvlMunxS/LEvntu3btzLuAPvu4t1ud6yR7o5F2mNk4b1U7vl5z+PrXmXgv9lXw/wCC/irJ4usdPsIbpt8EVv8AM8WnoxO54N33JG53fLt2ttXau7d+dXig6HHJ4g+2TeNv+Gf1bxQ3wvNl/akkX9tra6Z9m+yKn73/AFran9j3bo93m+Uu3bX6g/AQa83wQ8Hf8JT5n/CTf2HZDV97BmN79nTz8so2t+83fMvBotG9+oHO+MP2uPAfgP49aT8M9R16OPxhrGmXWsraLEzR2tpbLvllnlA2RfL90M25trMF2q1Uf2bP20vB37T17d2vh+38SWNzb2FvrFvFrGky6e2pabcGRbe/tw/LwStE+1vvfL8yis/9pD9lO6+PHxd8Faz/AGlb2Oj6HpfiDTdShRW+0XH9pWUVqkkX8DMio3+sG35l9K5f9jb9kPxt8H/HcOvePNX8M6lceHvBmmeAtGXRkuNtxZWUskou7jzfuTysybkTcq7PvNmgD6YDbqKai7Qq06gAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAdHTqbHTqAI6KKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAqGS0xOzBjuYKDy3bPvRRQBXkgxEh3NuCZUjgqNuf6fT2q5Gm1FH97rRRQBKowKR+tFFADaKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigByHmnUUUAf/2Q=="}}},{"metadata":{"slideshow":{"slide_type":"subslide"}},"cell_type":"markdown","source":"A peine le temps de poser la question que **votre cerveau**, extrêmement performant pour trouver des solutions à n'importe quel problème, vous a sans doute déjà proposé une ou plusieurs solutions. Par exemple : partir vers la gauche, jusqu'au somment de la colline jaune, puis monter la montagne et suivre la ligne de crête jusqu'en A.\n![maxresdefault.jpg](attachment:maxresdefault.jpg)\n\nC'est peut être la meilleure solution ... peut être pas ... Mais **comment pourrait faire un programme informatique** pour répondre à cette question 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LyPRxJHqqM0aSrvTyypHlHEp4GfmGQOCQw6gCui7VucRzviOaS31TQ3f7SbI3JWdYYww3YyjMR84AIJJHGM7uOu01nA119qK/vigTdk9ASQPzJ/yBQBkwAJAIlO4RExZ/3Tt/pVLUrS6miJtJUSU9mB5P17d/8RXlZhl8cbT5HundDcpKL5dzgdUs9caQQPiM56lCRjI6HOD159KyG8IahPk/2iEmck7lj6fr/LpXzlOtDAVOWcLtbpnFDLXXV56IxZPC9x5E1xZXcd4YW/eKVKnjryc5+vQ9jXOzXQe4RHXyzkDmv1jIc8o5jSnTklCcOnS3kaYnLJUG4t7HplvGmrNb22nXlysEESiV2Zhk8/dB6+5xjpW//Y9l5SxvEjcfekGSflIOSR1IOOc9a/NeJ81jUxKo4dKKh1Wl2edRcIz56OluqK0+iWpl8wwo8gboy5z+f8/r2rs/DdmqDzcEBBtUHufXqe3FeXlSlicXTUto6/d/wT0cDUUYzh1Oi2jFRRsGv3QrzHEpDf7xOf8A0EV93yJO50lo9K4eyv76PVbk3c9zawnCwPIBMsm6VFBCqxIJ3Ac4xv8AY1y4iajXpRcrXb076GkGuSWhsnUkeDTPJ1Ynz0jfItS3mrui64HyE7wOcYD5/hrfHSu0yILuztb+AwXlvFcQsQTHKgdTggjIPHUA/hVTVNI/tMx/6ffWmxWX/RZthbOOvB5GOPqfWgCv8kc91EvASU5+rAMf1aoJZgOF5qZSsgMvUb61srV7i9mjigXq0h4+g9T7V59dfEOyh1HFvp0s1ip+dgwDsAeqg8dM4BPPH3a8PM8LTxMeV6S6M9zKssrYpSmtIpfe+x02n6vputaYLnTZ/Nib5S/IKHuCDyGznj6HPPPA6jZ/2ZrX7xF8qbJDYxgmvnsFTq4avOhV0kfKZtXdZShHoi22riwtZp2hxDAjSFoyNxCgEcdBnBxz2PsT0OkeIVusRmR/lZkGfvZViDnJ74OD9K0xmE5qfP2PApQeHqR5J80ZWv5Nq9vlsaU19HDH5jkLESF2rgkZPOBnH+feus0q/sbq1AsbhJFQcgcMOcZIwCM/Surh+EI8029Xoe5g6tP2jg37zNdJj35p9pIZJbklcbXCA+o2g/zY19bCV9D02WTXFaLrUeo67eW0kaRpbAxMZ4FRZCZFUbT3BIx9SvXisK6k6tNq1rv8uhlOfLKMb7/idBviSO0hk/s7yzGoibcFBwYwuxOeNxGACcEJ1zxrDoOa6zQKq6hb3N1aNFaXjWkp6TLGHKnHHB4POKAMm7DxXrRu25jEjO+Mb25UnHb7o4rk9X8W21qTDZBbuf1U/IvHqOv0H51wYzERoK736HbgcJLE1OXZdWcJe6Xq3iG/828nnlOfkVl2hAf7o6dhnA+tM1iztPCmlFxEk1/JhULKGEZ7n3/lxXjYObzDHUsKn8bV/TqfQZxmscFhI4bD6N2St+Zy2lXdxpeo/wBo2dw6yvzKoxslz1DL/hjHbB5r0D7Xp3ieyLJtSYLmSBmG5OcfiOmD+eK+r4z4f9go5hhl8Okl5dH8tn8j5fNcvjCEa9PXozObSLqMkLMCCeNwOPf+narVnbfYpfPkcmUj5QAN3pyTmvhJYhVI8qWrPk50KdF+1b0RNLcTzKY2b5Ou3H+TU9jBHHH9tmuHt1Rv3bocEkcnB9alt0Ifu9zDAUauY4yMI7vsdJY+NreHbG07TqBgb02npgfN/jk12tjqUCwQpdOtvcTsWWGUhXwWO3I9cD9D6V9DlGJrVoNVlquvc+5xWCnhOWM3ds0z0rzXwleS6p4o12GXSIo1s5f3ckfmxs5WXIyWYg/dB4wD06GvcjRpzi5y3jt+R586alOMrbHZS2aqtosOkLKLdkhVZJAFSPMZLDk527cjPOUwOua2R0qDUKhu1mezmW3cxzMhCOoBKnHBAPGfrxQBgTaZf61pWb1Ws71ScIJAyMOoBK9v5HP3sBjg/wBhLBL5V0XWTPyjGAwHXB7jmvl+IsJUcPrNPW26/X/M9HBYt04+ztuPYQxKUtkCg8Fx1Ptmuc13wyus5DPwxB64K4GODz+or5rLMfPA4mOJXxI+bzbETxNW8H8L0OWn+G1wkh+z3Uip2xgn8yR/Ko4fBq6fcrJcyzmZGDKyjZyPfn9DX6NPj+riqHsVBXa1v/kcOKzXGKjySWh2GlqlxlJpFLLjap+8eD+fHfrWkmnWsa7VgTBOfmG4/ma/N8TUnTqOMdEY0ZKvSUp6kkOk2s1yMwqMLngcfl0rivEdhfahexQR7lYEJDEOFx6AfWujLq0p1lGWvY+74RoYbDyliZJXO38GeDbXw01rPrEofUJz+4hILKhHUgDuM9e3X6d/LY2lxNHPNawyTRkFJHQFlI5GD25r9BoUlShyoxzHFvF4mVXo9vQs9q8j8GTaYvi7xMLO01AzNPslMV0spJM2MhVRSgBJJyTgA16WHlJUaqTVml67rY5oRvGTvsd49tbTHTldNRDWyKijye4aFvnO3GflXJHH3+446HtXGZCUUARzxtLBJGkrwsykCRACyH1GQRke4IrNsdBhtNNeyubq61BXYsZLyTzHBwBwe3TPHcmk0mrMDFl0pXhF1p032u1Ybht+ZgMdv7w/XkdaIrW3ZQy/Pz1J/pX53n+WywU/aUl7kvw8hYXBUXNuWvkPeziYHC7T2I7Vy+tQtJDDMPuoSCPrj/D9a8rAVG6qbPPz/DQhSvBWv+hjY5BHGORW5pV684aGZtzqMq3cj3/SvWxtNSpc3VHyuAquNXl6M1EkEEivyecbVGS3sB3PoK1bCPT7DVo2v/3eo3ADRRbGKxgkr94DbuJ4JzxkDvlu3hrAudV4mWy0Xr/wD7XAVpRoOmu50NxNaw+ULmWKPzHEcYkYDc55CjPU8dParFfbmwUm0DtQAuKWgBKKACs/VtTTS4I5pFzG0qI7EHCBmC5OAe7AfjzgZIAJNNOnGyQ6WbY2hyU+zbdnXnG3jrmqFzCl3qjwLbT29wAWF0seY3AC8MehPzYA6/KcVjiMPTxFJ0qiumOMnF3Rm6h9qtB5U0QQNwJVOVPHb0P19/rWbJEksbRuMqwwRX5njcvnl9b2b23T7nBmNR1Z2ktDHl0SQN+6kVl/2uDVzT9O+zOOPMuJPlVUH44Hr06/yroVeWKSo0170tDwMNlzhX5r3XQ63RtPtYZ2eSeGW9UYKI4Pk+oA9fU1qXFvAGa8+yLNcxrlCqrvOA2ACcc/MwGSB8x9TX6DhMNHDUY0YdD6qnBQiooyILO71uZbnVI/Jt02GO0VjlXXaW3HAzh1IBHDLjHBO7oa6SwooAKWgBKKACkIBGD3oAqWumWtndS3EEYV5eW4HUkknPXngdeiqBwKuUAZWqnVGubaGyt7eW1kUi5aYZ2/MgGBkZ+UyHGOw+hpXvh9k+exbI7xOfbsfrjg+/PavPzHAQxtF05b9H2M6tNVI2ZisHEwgWJ2uGO1YcYYnr36cc89K6fR9IGnoZZmEt04+Zx0Qf3V9vfqfyA8PIMqnRqSrVlZrRfqznw1FxblIfa6Dp1nq1zqkELi8uciWRpnbdnHYkgfdUcDoAK0q+sOwKKACigApaAEooAKKACigAqKfzvL/cMivuX74JGMjd074zj3oAge0klSV1dILtkZEnRASgySOv4ZFLptvd2unxQ3179tuVzvuPKEe/kkfKOBgYH4UAW6KACigAooAKWgD//Z/+Ex6Gh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8APD94cGFja2V0IGJlZ2luPSfvu78nIGlkPSdXNU0wTXBDZWhpSHpyZVN6TlRjemtjOWQnPz4NCjx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iPjxyZGY6UkRGIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczp4bXA9Imh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8iPjx4bXA6Q3JlYXRvclRvb2w+V2luZG93cyBQaG90byBFZGl0b3IgMTAuMC4xMDAxMS4xNjM4NDwveG1wOkNyZWF0b3JUb29sPjx4bXA6Q3JlYXRlRGF0ZT4yMDIxLTAyLTE1VDIxOjI5OjEwLjQ3MzwveG1wOkNyZWF0ZURhdGU+PC9yZGY6RGVzY3JpcHRpb24+PC9yZGY6UkRGPjwveDp4bXBtZXRhPg0KICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICA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2. Résolution par brute force\n\nLe **principe du brute force** est extrêmement simple : on **teste toutes les possibilités et à la fin, on choisit la meilleure**.\n\n**Avantage :** Ca marche à tous les coups.\n**Inconvénient :** A part pour les problèmes simplistes, ça prend énormément de temps.\n\nOn sent bien que la plupart du temps, il doit exister un moyen de gagner du temps en n'explorant pas toutes les possibilités. Quitte à prendre le risque de ne peut être pas trouver **la** meilleure solution mais seulement une qui s'en approche.\n\nAinsi, dans l'exemple précédent, votre cerveau a sûrement d'emblée éliminé l'option de partir vers la droite, dans une région qui est beaucoup plus vallonée."},{"metadata":{"slideshow":{"slide_type":"subslide"}},"cell_type":"markdown","source":"#### 3. Résolution intelligente\n\nBien souvent, la résolution réellement optimum d'un problème d'optimisation, nécessite des algorithmes soit très complexes à mettre en oeuvre, soit très spécifiques du problème considéré et donc inapplicables ailleurs.\n\nPar conséquent, à moins que l'optimisation soit vraiment cruciale, il peut être préférable d'utiliser un **algorithme glouton** qui a **l'avantage d'être assez simple à mettre en oeuvre** mais **l'inconvénient de ne pas toujours garantir de trouver la meilleure solution**."},{"metadata":{"slideshow":{"slide_type":"subslide"}},"cell_type":"markdown","source":"#### 4. Une stratégie locale\n\nUn algorithme glouton adopte la stratégie d'un animal qui, à la recherche de nourriture, **se dirige à chaque instant vers l'endroit le plus proche où il entrevoit le plus de nourriture**. Sa **stratégie** est donc **locale**, il ne regarde pas plus loin que le bout de son nez, quitte à se précipiter dans un piège ou dans un cul de sac.\n\nCe n'est pas, le plus souvent, la stratégie adoptée par votre cerveau qui cherche au contraire à avoir un point de vue plus général de la situation.\n\nToujours avec le même exemple de chemin minimisant le dénivellé, un algorithme glouton pourrait par exemple décider à chaque pas de choisir parmi 3 directions (vers A, 15° à droite de A et 15° à gauche de A) celle qui présente le moins de dénivellé. On peut supposer que cet algorithme nous permettrait d'arriver en A, et sans doute avec un dénivellé pas trop important. Mais aurions nous trouver la meilleure solution ? Probablement pas. :("},{"metadata":{"slideshow":{"slide_type":"subslide"}},"cell_type":"markdown","source":"D'autres choix sont possibles :\n- Je vais vers A, sauf si le dénivellé dépasse un certain seuil, auquel cas je dévie vers la droite d'un certain angle.\n- Je choisis la pente la plus faible, sauf si ça m'éloigne de A.\n- Pour chaque direction possible pour mon prochain pas, je calcule le rapport entre la pente et la diminution de distance par rapport à A et je choisis la plus petite valeur.\n- ...\n\nDans tous les cas, j'applique un **algorithme glouton car je prends ma décision uniquement par rapport à mon prochain pas, sans regarder où cela pourra me mener quelques pas plus loin**.\n\n**Remarque :** En pratique, si l'algorithme nécessite un grand nombre de pas, un algorithme peut encore être qualifié de glouton si la prise de décision se fait en regardant un peu plus loin que le prochain pas. Le tout est de ne pas adopter une approche globale du problème"},{"metadata":{"slideshow":{"slide_type":"slide"}},"cell_type":"markdown","source":"### II. 1er exemple : Le problème des stations essence\n\n#### 1. Poser le problème\n\nUn automobiliste part en vacances et doit parcourir un long trajet. Il prend la route avec le plein de carburant. On note $d$ la **distance maximale** (supposée constante) qu'il peut parcourir **avec un plein**. Son trajet est déjà décidé et il sait combien de stations essence il comporte, ainsi que leurs positions respectives. On note $d_0, d_1, d_2, ..., d_n$ les **distances jusqu'à la prochaine station** (sauf $d_n$ qui est la distance entre la dernière station et l'arrivée)."},{"metadata":{"slideshow":{"slide_type":"subslide"}},"cell_type":"markdown","source":"#### 2. Un problème d'optimisation\n\nLe problème est de savoir **dans quelles stations il doit s'arrêter** pour être sûr de ne **pas tomber en panne d'essence**, tout en **s'arrêtant un nombre minimum de fois**. On suppose bien sûr qu'aucune des distances n'est plus grande que $d$, sinon il n'y a pas de solution.\n\nIl s'agit bien d'un **problème d'optimisation** : on veut **minimiser le nombre d'arrêts** avec la **contrainte de ne pas dépasser la distance $d$ entre 2 arrêts**.\n\nA chaque station, il y a 2 choix, s'arrêter ou ne pas s'arrêter et donc $2^n$ choix possibles au total. Une **résolution en brute force** ne serait donc **plus possible dès que $n$ devient grand** ($2^{1000}\\approx 10^{301}$)."},{"metadata":{"slideshow":{"slide_type":"subslide"}},"cell_type":"markdown","source":"#### 3. La solution de l'algorithme glouton\n\nPour résoudre ce problème avec un **algorithme glouton**, il suffit de **décider à chaque station que l'on continue s'il nous reste assez d'essence pour atteindre la prochaine station, sinon on s'arrête**. Chaque choix est donc bien effectué uniquement par rapport à la prochaine étape.\n\nIl n'est pas très compliqué de se convaincre que cet algorithme glouton devrait **permettre de trouver la solution optimale**; et c'est bien le cas. D'ailleurs, en l'absence d'autres contraintes (repos toutes les 2 heures, pause pipi, embouteillages, disputes des enfants, ...) c'est certainement ce que le cerveau conseillerait de faire à tout conducteur un peu sensé."},{"metadata":{"slideshow":{"slide_type":"slide"}},"cell_type":"markdown","source":"### III. 2ème exemple : Le problème du rendu de monnaie\n\n#### 1. Poser le problème\n\nUn commerçant doit **rendre la monnaie** à son client. Il dispose pour cela d'un **système de $n$ pièces** (la valeur des différentes pièces qui existent) et pour simplifier, on peut supposer qu'il en possède une quantité infinie de chaque. Notons $p_0, p_1, ... p_n$ la **valeur des pièces existantes** en centimes, rangées par **ordre croissant**. La somme $r$ à rendre est aussi exprimée en centimes."},{"metadata":{"slideshow":{"slide_type":"subslide"}},"cell_type":"markdown","source":"#### 2. Un problème d'optimisation\n\nLe problème est de savoir **quelles pièces il doit rendre** pour rendre **la somme nécessaire**, tout en **rendant un minimum de pièces**. On suppose $p_0 = 1$, sinon certaines sommes ne pourront pas être rendues.\n\nIl s'agit bien d'un **problème d'optimisation** : on veut **minimiser le nombre de pièces rendues** avec la **contrainte que la somme de leurs valeurs soit bien égale à $r$**.\n\nCe problème est plus complexe que le précédent, car pour chaque pièce, on doit choisir combien en rendre parmi beaucoup plus de 2 possibilités. Pour la pièce de valeur $p_0 = 1$ centime, on peut en rendre entre $0$ et $r$ par exemple. Le résoudre en **force brute est donc encore moins envisageable**."},{"metadata":{"slideshow":{"slide_type":"subslide"}},"cell_type":"markdown","source":"#### 3. La solution de l'algorithme glouton\n\nPour résoudre ce problème avec un **algorithme glouton**, il faut **passer en revue les pièces en partant de celles de plus grandes valeurs**. **Dès qu'on peut en rendre une** (dès que $p_k \\leq r$) on le fait et on **met à jour la somme restant à rendre** (elle devient $r-p_k$). Puis on **recommence en repartant de la même pièce** et ainsi de suite **jusqu'à ce que la somme restant à rendre soit égale à zéro**.\n\nAvec le **système de pièces de la zone euro**, comme avec la plupart des systèmes de pièces actuels, cet **algorithme glouton est optimal**. **Mais il ne l'est pas avec n'importe quel système de pièces.** En France, il ne l'est devenu qu'après la révolution française, grâce à la généralisation du système décimal qui a permis de rationnaliser les systèmes de monnaie.\n\nJusqu'en 1971, le système de monnaie utilisé au Royaume-Uni (1, 3, 4, 6, 12 pences puis 1 shilling, ...), par exemple, ne donnait pas une solution optimale avec cet algorithme (l'optimum pour rendre 8 pences est de rendre 2 pièces de 4 pences alors que l'algorithme glouton aboutit à 1 pièce de 6 pences et 2 pièces de 1 penny)."},{"metadata":{"slideshow":{"slide_type":"slide"}},"cell_type":"markdown","source":"### IV. 3ème exemple : Le problème du sac à dos\n\n#### 1. Poser le problème\n\nUn voleur dispose devant lui d'un **nombre $n$ d'objets**, chacun caractérisé par **sa valeur $v_i$** et **son poids $p_i$**. Il doit **choisir son butin** de façon à emporter **la plus grande valeur $V$ possible** sachant que son sac à dos ne pourra pas supporter davantage qu'un certain **poids maximum $P$**.\n\n**Remarque :** Il existe une **variante dite fractionnaire du problème** dans laquelle on peut emporter une fraction de son choix de chaque objet."},{"metadata":{"slideshow":{"slide_type":"subslide"}},"cell_type":"markdown","source":"#### 2. Un problème d'optimisation\n\nLe problème est de savoir **quels objets choisir**, sans dépasser le **poids limite**, tout en **emportant un butin de valeur maximale**. On suppose qu'il existe au moins un objet tel que $p_i \\leq P$, sinon le voleur ne peut rien emporter.\n\nIl s'agit bien d'un **problème d'optimisation** : on veut **maximiser la valeur $V$ du butin** avec la **contrainte de ne pas dépasser le poids maximum $P$**.\n\nCe problème a l'air plutôt simple puisque pour chaque objet, il n'y a que 2 choix : le voler ou le laisser. Cependant, on voit bien qu'il parait **difficile de faire le bon choix sans regarder le problème de façon globale**. Et effectivement, nous allons voir qu'un **algorithme glouton ne donnera pas ici, en général, le choix optimum**."},{"metadata":{"slideshow":{"slide_type":"subslide"}},"cell_type":"markdown","source":"#### 3. La solution de l'algorithme glouton\n\nPour résoudre ce problème avec un **algorithme glouton**,  il existe au moins **3 façons différentes de choisir** les objets à emporter.\n\nSoit on commence par prendre les objets **les plus chers**, soit **les plus légers**, soit **les plus rentables**, c'est-à-dire ceux dont le **rapport valeur/poids est le plus grand**.\n\nDans les 3 cas, on commence par **ignorer tous les objets dont le poids $p_i$ est supérieur à $P$**. Il suffit ensuite de **trier les objets par ordre décroissant selon le critère choisi** (valeur, poids ou rentabilité) et de **remplir** son sac **en commencant par le premier** et **tant que le poids $P$ n'est pas dépassé**.\n\nLe meilleur **choix parmi ces 3 stratégies dépend de la répartition de valeur et de poids des objets** mais en général, ces algorithmes gloutons ne **permettent pas d'obtenir le remplissage optimum** du sac à dos. A part avec la variante fractionnaire où le critère de la rentablilité permet de trouver l'optimum."},{"metadata":{"slideshow":{"slide_type":"slide"}},"cell_type":"markdown","source":"Pour terminer, passons à la pratique avec le [TP](TP_04_1.ipynb) suivant ..."}],"metadata":{"celltoolbar":"none","kernelspec":{"name":"python3","display_name":"Python 3 (ipykernel)","language":"python"},"language_info":{"name":"python","version":"3.7.12","mimetype":"text/x-python","codemirror_mode":{"name":"ipython","version":3},"pygments_lexer":"ipython3","nbconvert_exporter":"python","file_extension":".py"}},"nbformat":4,"nbformat_minor":4}