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dbXYJZEHMBekwF6TDXJAOc2GMDbaNjR8/3uwSyIKYC9JhLkiHuSAd5sIYG2wb2717t9klkAUxF6TDXJAOc0E6zIUx3irdxtxuNxwOfoaiozEXpMNckA5zQTrMRSfeKj0EZWVlmV0CWRBzQTrMBekwF6TDXBjjCDYRERERkR84gh2CMjIyzC6BLIi5IB3mgnSYC9JhLoyZOoItImcBeAiAE8DTSqnfd1ueCmANgHjvOncqpdb1tk2OYBMRERFRMFhuBFtEnAAeBXA2gNkALheR2d1WuxvAWqXUAgCXAXgsuFUObZmZmWaXQBbEXJAOc0E6zAXpMBfGzJwisgRAgVKqSCnVCuBlABd0W0cBGO798wgA+4JY35A3f/58s0sgC2IuSIe5IB3mgnSYC2NmNtjJAPZ2+brU+1pX9wC4UkRKAawD8D3dhkTkRhFJF5H08vJyVFVVoby8HGVlZaipqUFhYSGampqQm5sLt9t95JNXxxyizMxMuN1u5ObmoqmpCYWFhaipqUFZWRk6tldcXIyGhgbk5eXB5XIhOzv7qG10POfk5KClpQX5+fmor69HSUkJKisrUVlZiZKSEtTX1yM/Px8tLS3IycnRbiM7Oxsulwt5eXloaGhAcXGxX/u0Y8cO2+2THd+nYO/Ttm3bbLdPdnyfgr1PGzdutN0+2fF9CvY+ffrpp7bbJzu+T8Hep/T0dNvtk7/vky+mzcEWkYsAnKWUut779SoAS5VSt3VZ50feGv8sIssBPANgjlLK7Wu7nIPdqampCdHR0WaXQRbDXJAOc0E6zAXpMBedLDcHG0AZgAldvk7xvtbVdQDWAoBSagOAKACJQanOBvbt44wa6om5IB3mgnSYC9JhLoyZ2WBvBpAmIpNFJAKekxjf6rZOCYCvA4CIzIKnwT4Q1CqHsISEBLNLIAtiLkiHuSAd5oJ0mAtjpjXYSikXgNsAvAdgBzxXC9kuIr8WkfO9q/0YwA0ikg3gnwCuUXa7M84gamxsNLsEsiDmgnSYC9JhLkiHuTAWZuYP917Tel23137Z5c+5AI4Pdl124XDwPkLUE3NBOswF6TAXpMNcGOPfkI2Fh4ebXQJZEHNBOswF6TAXpMNcGGODbWMNDQ1ml0AWxFyQDnNBOswF6TAXxthg21hiIi+4Qj0xF6TDXJAOc0E6zIUxNtg2VlpaanYJZEHMBekwF6TDXJAOc2GMDbaNTZs2zewSyIKYC9JhLkiHuSAd5sIYG2wb2759u9klkAUxF6TDXJAOc0E6zIUx026VPlh4q3QiIiIiCgYr3iqdBllGRobZJZAFMRekw1yQDnNBOsyFMY5gExERERH5gSPYIYifMEmHuSAd5oJ0mAvSYS6McQSbiIiIiMgPHMEOQTk5OWaXQBbEXJAOc0E6zAXpMBfG2GDb2PTp080ugSyIuSAd5oJ0mAvSYS6MscG2sZKSErNLIAtiLkiHuSAd5oJ0mAtjbLBtLCkpyewSyIKYC9JhLkiHuSAd5sIYG2wbq62tNbsEsiDmgnSYC9JhLkiHuTDGBtvGoqKizC6BLIi5IB3mgnSYC9JhLoyxwSYiIiIiCiA22DbW3NxsdglkQcwF6TAXpMNckA5zYYwNto3Fx8ebXQJZEHNBOswF6TAXpMNcGGODbWMVFRVml0AWxFyQDnNBOswF6TAXxthg21hqaqrZJZAFMRekw1yQDnNBOsyFMTbYNrZr1y6zSyALYi5Ih7kgHeaCdJgLY6KUMruGgFq8eLFKT083uwwiIiIisjkRyVBKLe7+OkewbSwjI8PsEsiCmAvSYS5Ih7kgHebCGEewiYiIiIj8wBHsEMRPmKTDXJAOc0E6zAXpMBfGOIJNREREROQHjmCHoOzsbLNLIAtiLkiHuSAd5oJ0mAtjHMG2MZfLhbCwMLPLIIthLkiHuSAd5oJ0mItOHMEOQQUFBWaXQBbEXJAOc0E6zAXpMBfG2GDbWEpKitklkAUxF6TDXJAOc0E6zIWxATfYIuIUkftEJFtEMkXkjkAURgNXVVVldglkQcwF6TAXpMNckA5zYSwQE2juBHAXgIMABMDvRKRWKfVkALZNAxAXF2d2CWRBzAXpMBekw1yQDnNhLBBTRG4E8DaAsQDGAXjf+xqZrK2tzewSyIKYC9JhLkiHuSAd5sLYgBpsEQkHkAJgjVKqXSnVBmANgKmBKI4Gxu12m10CWRBzQTrMBekwF6TDXBgb6Aj2MHimhdR0ea0GwPABbpcCICYmxuwSyIKYC9JhLkiHuSAd5sLYQBtsCUgVNCiqq6vNLoEsiLkgHeaCdJgL0mEujPX7JEcRebbLl5EAFICfisiV3teSA1EYDdz48ePNLoEsiLkgHeaCdJgL0mEujPkzgn1Nl8fl8Ixin9nltdMDURgN3O7du80ugSyIuSAd5oJ0mAvSYS6M8VbpNuZ2u+Fw8F5CdDTmgnSYC9JhLkiHuejEW6WHoKysLLNLIAtiLkiHuSAd5oJ0mAtj/R7BFpEiALcrpd4anJIGhiPYRERERBQMgRzBngSAt/AZAjIyMswugSyIuSAd5oJ0mAvSYS6MmTpFRETOEpGdIlIgInf6WOcSEckVke0i8lKwaxzKFi1aZHYJZEHMBekwF6TDXJAOc2HM3wZ7wGdGiogTwKMAzgYwG8DlIjK72zppAH4O4Hil1DEAbh/ozw0lmZmZZpdAFsRckA5zQTrMBekwF8b8mYPthnGDrZRSvV5jW0SWA7hHKXWm9+ufe7/xd13W+SOAXUqpp/taH+dgd+JZvqTDXJAOc0E6zAXpMBedfM3B7veNZry+AFA0sJKQDGBvl69LASztts50ABCRLwE44WnI/zvAnxsy8vLyMHv2bOMVKaQwF6TDXJAOc0E6zIUxfz9+rFZKfae3R4DqCwOQBuBkeG5q85SIxHdfSURuFJF0EUkvLy9HVVUVysvLUVZWhpqaGhQWFqKpqQm5ublwu91HfrXRMUk/MzMTbrcbubm5aGpqQmFhIWpqalBWVoaO7RUXF6OhoQF5eXlwuVzIzs4+ahsdzzk5OWhpaUF+fj7q6+tRUlKCyspKVFZWoqSkBPX19cjPz0dLSwtycnK028jOzobL5UJeXh4aGhpQXFzs1z5NnDjRdvtkx/cp2PuUnJxsu32y4/sU7H1yOBy22yc7vk/B3qeGhgbb7ZMd36dg71NsbKzt9snf98kXf6eIXKmUGtAJh32cIvIEgE1Kqb97v/4IwJ1Kqc2+tsspIp0KCwsxdepUs8sgi2EuSIe5IB3mgnSYi05WvNHMZgBpIjJZRCIAXAag+7W134Rn9BoikgjPlJGBTk0JGQkJCWaXQBbEXJAOc0E6zAXpMBfG/Gmw7wWwdaA/WCnlAnAbgPcA7ACwVim1XUR+LSLne1d7D8BBEckF8AmAnyqlDg70Z4eKxsZGs0sgC2IuSIe5IB3mgnSYC2P9PslRKXVvoH64UmodgHXdXvtllz8rAD/yPqifeIYv6TAXpMNckA5zQTrMhbF+/w2JyL0isq2X5VtF5O6BlUWBEB4ebnYJZEHMBekwF6TDXJAOc2HMn48g3wTwQS/LPwBwkX/lUCB1nP1N1BVzQTrMBekwF6TDXBjzp8GeDCCvl+U7veuQyRITE80ugSyIuSAd5oJ0mAvSYS6M+TuJpse1qLsYCc9NYchkpaWlZpdAFsRckA5zQTrMBekwF8b8abC3A7hAt0BEBMD56H2Em4Jk2rRpZpdAFsRckA5zQTrMBekwF8b8abCfAbBMRJ4TkdEdL3r//CyAZd51yGTbt283uwSyIOaCdJgL0mEuSIe5MNbvOzkCgIi8COAKAApAufflcQAEwCtKqcsDVmE/8U6ORERERBQMAb2To1LqSnjuvPg2gDrv4y0Al5jZXNPRMjIyzC6BLIi5IB3mgnSYC9JhLoz5NYJtZRzBJiIiIqJgCOgIdrcNJ4oIr9diQfyESTrMBekwF6TDXJAOc2HM3znY4wH8Dp6riQzzvlwP4N8A7lJKlQWswn7iCDYRERERBUPARrBFJBVAOoBVAIoAvOR9FAG4CsBXIjJhYOVSIOTk5JhdAlkQc0E6zAXpMBekw1wYC/Pje+6D52Yy5yml1nVdICJnA/iXd51rBlwdDcj06dPNLoEsiLkgHeaCdJgL0mEujPkzB/sMAI91b64BQCn1LoDHAZw10MJo4EpKSswugSyIuSAd5oJ0mAvSYS6M+dNgjwSQ38vyfPR+K3UKkqSkJLNLIAtiLkiHuSAd5oJ0mAtj/jTYpQBO7mX5id51yGS1tbVml0AWxFyQDnNBOswF6TAXxvxpsF8FcLGI/E5ERnS8KCLDReR+AJcAeCVQBZL/oqKizC6BLIi5IB3mgnSYC9JhLoz5e5LjCgA/A/ATEdnnfX08ACeALwH8JjDlERERERENLf0ewVZKNcIzReQmAO8DOOx9vAfgRgCnKKWaAlgj+am5udnsEsiCmAvSYS5Ih7kgHebCmD8j2FBKuQA85X2QRcXH81xT6om5IB3mgnSYC9JhLowN+FbpZF0VFRVml0AWxFyQDnNBOswF6TAXxvo9gi0iv+zDakopdZ8f9VAApaamml0CWRBzQTrMBekwF6TDXBjzZ4rIPd2+VgBE8xobbJPt2rULxx57rNllkMUwF6TDXJAOc0E6zIUxUUr17xtEJnb5MgFABoCVANZ3XU8ptWfA1flh8eLFKj093YwfTUREREQhREQylFKLu7/uz1VE9nQ8AHTcK7Oi6+tmNdd0tIyMDLNLIAtiLkiHuSAd5oJ0mAtj/R7BPuqbRUYBOADgNKXUxwGragA4gk1EREREwRCwEWwaOvgJk3SYC9JhLkiHuSAd5sIYR7CJiIiIiPwQsBFsEXm24wHgb/BcMeSnXV8XkWcCUDMNUHZ2ttklkAUxF6TDXJAOc0E6zIUxf64i4u7Dakop5fSvpIHhCHYnl8uFsDC/btZJNsZckA5zQTrMBekwF50CeRURRx8epjTXdLSCggKzSyALYi5Ih7kgHeaCdJgLYzzJ0cZSUlLMLoEsiLkgHeaCdJgL0mEujPkzB7tIRM4fjGIosKqqqswugSyIuSAd5oJ0mAvSYS6M+TOCPQlAXIDroEEQF8e3iXpiLkiHuSAd5oJ0mAtjnCJiY21tbWaXQBbEXJAOc0E6zAXpMBfG/G2w/b94NgWN292XC75QqGEuSIe5IB3mgnSYC2P+Ntgvikh7Lw9XQKskv8TExJhdAlkQc0E6zAXpMBekw1wY8/cihl8AKApkIRR41dXVGDlypNllkMUwF6TDXJAOc0E6zIUxfxvs1UqplwJaCQXc+PHjzS6BLIi5IB3mgnSYC9JhLozxJEcb2717t9klkAUxF6TDXJAOc0E6zIUxNtg2NnPmTLNLIAtiLkiHuSAd5oJ0mAtj/jTY9wLYGuhCKPCysrLMLoEsiLkgHeaCdJgL0mEujIlS9rri3uLFi1V6errZZRARERGRzYlIhlJqcffX/ZoiIiKxInKviGwVkQbvY6uI3CMisQMvlwIhIyPD7BLIgpgL0mEuSIe5IB3mwli/R7BFJAHA5wBmATgAYJd30XQAowHsALBCKVUdwDr7jCPYRERERBQMgRzB/jWAmQBuAzBeKbVCKbUCwHgAtwKYAeCePhZ1lojsFJECEbmzl/W+LSJKRHrsAPmWmZlpdglkQcwF1TW1YUd5PbbvqzvyeP2jTUf+nF9xCM1t7WaXSRbA4wXpMBfG/BnBLgHwrlLqJh/LnwRwllIq1WA7TnhGv08HUApgM4DLlVK53dYbBuAdABEAblNK9To8zRHsTm63Gw4HLxRDR2MuQoNSChX1LSiobEBB5SEUHGjw/vkwqhpaDL9fBJgwMgZTR8di2pi4Lo9hGBEdHoQ9ICvg8YJ0mItOvkaw/bnRTBKALb0szwRwdR+2swRAgVKqyFvgywAuAJDbbb37APwBwE/7X2poy8vLw+zZs80ugyyGubAvt1shq7QW723fjw+2V6Co6rDf21IKKKluREl1Iz7ZeeDI6yLAwtSROPOYJJwxeywmJfK0Gzvj8YJ0mAtj/nz8qACwoJflC7zrGEkGsLfL16Xe144QkYUAJiil3ultQyJyo4iki0h6eXk5qqqqUF5ejrKyMgsNCBwAACAASURBVNTU1KCwsBBNTU3Izc2F2+0+8quNjkn6mZmZcLvdyM3NRVNTEwoLC1FTU4OysjJ0bK+4uBgNDQ3Iy8uDy+VCdnb2UdvoeM7JyUFLSwvy8/NRX1+PkpISVFZWorKyEiUlJaivr0d+fj5aWlqQk5Oj3UZ2djZcLhfy8vLQ0NCA4uJiv/Zp4sSJttsnO75Pwd6n5ORk2+2THd+nvu5TTV091n6+DT/+52Ys+e0H+NZj67H6f0UDaq57oxSQsacG96/Lw8kPfIoz//oZfvbi58jcfQC7du3i+2SzfWpoaLDdPtnxfQr2PsXGxtpun/x9n3zxZ4rIowBugme+9VNKKbf3dQeA6wE8Cs+t1G8z2M5F8Ewlud779SoASzu+z7u9jwFco5QqFpFPAfyEU0T6rrCwEFOnTjW7DLIY5sIe9lY34pkvduP1zFIcanaZXQ4AIGVkNK5aPhGXL0nFsChOI7EDHi9Ih7noFMgpIr+EZ970YwDuFZGd3tdnwHMVkQIAv+rDdsoATOjydYr3tQ7DAMwB8KmIAMBYAG+JyPlGTTZ5JCQkmF0CWRBzMbRtK6vD6s+KsC6nHO1u/+5j4HQIUhNiEBXuPPJae7sLTqfnv4S6xlbsq2vu93ZLa5pw/7o8PPxRAa5Yloprj5+MpOFRftVI1sDjBekwF8b63WArpQ56r+bxMwAXAjjOu6gIwNMA/qiUqu/DpjYDSBORyfA01pcBuKLLz6kDkNjxdV9HsKlTY2MjRo4caXYZZDHMxdCjlMJn+VV48rNCfFlwsM/fJwLMGjsc05PijjpRMTUhFhFhR88QLCsrQ3Jy5yy9wy0uFHpPjOx4zi2vx97qJsOfe6jFhdX/K8KzX+zGhfOTceOJU5CWNKzvO0yWweMF6TAXxvwZwYa3gb7L+/CLUsolIrcBeA+AE8CzSqntIvJrAOlKqbf83TZ58Axf0mEuhpZPdlbij//diR3lfRm3ACKcDnxt2iicecxYfH3WGIwZ1rcR5O65iI0Mw9yUeMxNiT/ymlIKhQca8N72Cry/fT+yS+t63WZbu8KrGaV4NaMUp80agzvPnoVpY+L6VA9ZA48XpMNcGPOrwQ4UpdQ6AOu6vfZLH+ueHIya7CQ8nHMgqSfmYmjYc/Aw7ns7Fx/uqDRcNzrcidNmJ+HMY5Jw0vTRfs1/7ksuRATTxgzDtDHDcOsp01Be14QPcivw3vb9WF94EL2d0vPhjkp8uvMArj1hMr536jTO0R4ieLwgHebCWL8bbBHRNsDdKKXUfX7UQwHU0NCAxMRE4xUppDAX1tbU2o7HPi3A6s+K0Opy97puYlwEvnP8ZKxcmor4mIgB/Vx/cjFuRDSuWj4JVy2fhKIDDXj6i914LaPUZ90ut8KTnxXhjS1l+PnZM/HNBcnwnmNDFsXjBekwF8b8uYqIG4AC0NtRUSmlnL0sHzS8ikinhoYGxMXx17F0NObCmpRSWJezH799J9fwBMMpibG44cQp+OaC5KNOVByIQOXiwKEWPL+hGM9v2IO6prZe1100cSTuPf8YzEkeMeCfS4ODxwvSYS46+bqKiL8N9u0A/t3bekqpPf3acICwwe6Ul5eHmTNnml0GWQxzYT17Dh7Gz/+Vg/WFvZ/AOH9CPL578lScPisJDkdgR34DnYvDLS6sTd+Lpz4r6vUDgwhw5dKJuPPsmYiNNHXWImnweEE6zEWnQDfYVyqlXgpUcYHEBruTy+VCWBj/w6KjMRfWoZTnJMB739qOw63tPtcbOzwKvzh3Fr4xd9ygTakYrFw0t7Vj9f+K8NinBWjpZcrLxFExePDS+ViQyisTWAmPF6TDXHTy1WDzNFAb2759u9klkAUxF9ZQc7gVt/wjE3e8ttVncx3hdOCWk6fiox+fhPPnjR/U+cqDlYuocCd+cFoaPvzRSTjrmLE+19tzsBEXPbEBD32YD1d773PPKXh4vCAd5sKYvyPY/wKQBaAFQD2AfQC2KaV2B7zCfuIINhFZ3ef5B/DjtdmoPOT7NrunzhyD/ztvNiYnxgaxssH3RX4V7vnPdhRUNvhcZ0FqPB68dD4mjrLXvhOR/QR6BPtbAH4N4A8AHgfwJoACEdkhIhf6XyYFUkZGhtklkAUxF+ZpbmvHr/+Ti1XPfOWzuU4ZGY1nrl6MZ685LqjNdbBycUJaIt79wQrcfe4sRPs4QXNLSS3OeehzrN28F/0dBKLA4vGCdJgLY/6MYE/0/jEcQASAkQDGA5gH4BIAkwGcoZT6JIB19hlHsInIiooONOC7L2ZiZ8Uhn+tctCgFv/rG7JC5RvTuqsO4/ZUsZO+t9bnOOceOxR8vmoc4ngBJRBYUsBFspdQe76NAKZWrlPpSKfWqUupuAPMB7ARwRwBqpgHiJ0zSYS6C76MdFbjgkS99NtcjosPx2MqFeODieaY112bkYnJiLF67eTm+f+o0+Looyrqc/bjw0S9RdMD3lBIaPDxekA5zYazfI9iGGxS5GsA1SqlTArrhPuIINhFZhdut8MgnBfjrh7t83uXw+Gmj8OeL52PsiL7d0tyuMvZU4/ZXsrC3ukm7fFhUGB66bD5OnZkU5MqIiHwL2lVElFJrzGqu6Wg5OTlml0AWxFwER0OLCze/mIG/fKBvriOcDtx97iy8cO1SSzTXZudi0cQErPv+Cly0KEW7/FCzC9etScfDH+XD7ea87GAxOxdkTcyFsT6NYIvIW/3crlJKXeBfSQPDEexOLS0tiIyMNLsMshjmYvAVHWjAjS9k+LxSxqRRMXhs5SLMHj88yJX5ZqVcvL11H+54bSsafVy+8MxjkvDnS+ZzXnYQWCkXZB3MRSdfI9h9PTqd18+fx+EFCygpKUFaWprZZZDFMBeD6+O8Cvzgn1k41OLSLj95xmg8dOkCjIix1omMVsrFeXPHI23MMNz4Qjr2HGzssfy97RUofPRLPLlqEaaM5u2aB5OVckHWwVwY688UkSuVUo4+PvTXXqKgSkriXEXqibkYPM99uRvXrUn32VzfespUPHP1cZZrrgHr5WLG2GF469YTcNL00drlBZUN+Nbj67G5uDrIlYUWq+WCrIG5MMY7OdpYba3vS19R6GIuAs/tVvjN27m45z+52vnWMRFOPL5yIX565kw4fV0uw2RWzMWImHA8e81xuOXkqdrltY1tWPn0Jry9dV+QKwsdVswFmY+5MMYG28aiosw/cYqsh7kIrOa2dtz6Uiae/kJ/I9tJo2Lw5q3H4+xjxwW5sv6xai6cDsEdZ83EYysXIiai5y9HW11u3PbSFqz+XyFvSjMIrJoLMhdzYYwNNhGRn6oPt+KKpzbi3W37tctPmj4a/771BExPGhbkyuznnGPH4Y1bjkdqQox2+e/ezcMv/70drnZ3kCsjIuqJDbaNNTc3m10CWRBzERjFVYfxrce+RGaJ/lelVyxNxTNXL7bkfGudoZCLGWOH4Y1bvob5E+K1y1/YuAc3vZCBxlb9HHjqv6GQCwo+5sIYG2wbi4/X/ydEoY25GLjMkhp86/H1KNZc4QIAfnbWTPz2wjkIcw6dQ+xQycWouEj884ZlOPMY/UlWH+VV4rInN6LyEBuAQBgquaDgYi6M9ecioueIyNg+rquUUn/1pyAKnIqKCgwfbp3r7JI1MBcD88nOSnz3xQw0t/WcihDhdOBPF8/FBfOTTahsYIZSLqIjnHhs5SL85p1c/P3L4h7Lt5bW4eInNuDF65Zigo8pJdQ3QykXFDzMhbG+3mimv5PalFmX6uONZjrxQvCkw1z4799ZZfjx2my4NHcSHB4VhqeuWoylU0aZUNnADdVcPPPFbvzmHf3VW8YMi8Tz1y3BzLFsBPw1VHNBg4u56DTQW6Wf0s/HqQGomQZo165dZpdAFsRc+OeFDcW4/ZUsbXOdMjIa/7rla0O2uQaGbi6uO2EyHl+5EJFhPf87qzzUgkue2ICMPTUmVGYPQzUXNLiYC2N9GsEeSjiCTUSBpJTC3z4qwF8/1P+HMid5OJ695jiMGcbLVpkpY08NrluzGbWNbT2WRYc78cSqRT5vWkNE5K+BjmDTEJSRkWF2CWRBzEXfud0K9/4n12dzvWxKAv55wzJbNNdDPReLJo7Eqzctx9jhPd+LprZ2XL9mM/6TzRvS9NdQzwUNDubCGEewiYg02trduOO1rXhjS5l2+emzk/Dw5QsQFW7K6SbkQ2lNI1Y98xV2Vx3usUwE+PUFc7Bq2UQTKiMiO+IIdgjiJ0zSYS6MNbe147svZvpsri9alILHVy60VXNtl1ykjIzBqzcvxzHje57YqBTwf29uw2OfFphQ2dBkl1xQYDEXxjiCTUTURWOrCzc+n4EvCqq0y68/YTJ+cc4sOBwS5MqoP+qb23D9mnR8tbtau/y2U6bhx2dMhwjfRyLyH0ewQ1B2drbZJZAFMRe+1Te34apnvvLZXP/0zBm461x7Ntd2y8XwqHA8f+0SnDZLf0OaRz4pwK/fzoXdBpkCzW65oMBgLoxxBNvGXC4XwsL6cy8hCgXMhV7N4VZc/fevsLW0rscyEeA3F87ByqX2nbtr11y42t244/Wt+FemfrrPZcdNwG+/eSycNvzQFAh2zQUNDHPRiSPYIaiggPMMqSfmoqfKQ8247MmN2uba6RA8eOl8WzfXgH1zEeZ04IGL5vk8sfHlzXvxo7VZaGvv7/3UQoNdc0EDw1wYY4NtYykpKWaXQBbEXBxtX20TLl29ETsrDvVYFuF04LGVC4fkrc/7y865cDgEv77gGNx04hTt8n9n7cOt/8hEi6s9yJVZn51zQf5jLoyxwbaxqir9PFIKbcxFpz0HD+PiJzZoL+kWFe7AU1cvxpnHjDWhsuCzey5EBHeePRM/On26dvn7uRW44fkMNLWyye7K7rkg/zAXxthg21hcXJzZJZAFMRceBZWHcPETG1BW29RjWWyEE2u+sySk7vwXCrkQEXz/62m4+9xZ2uWf7TqAa/7+FRpaXEGuzLpCIRfUf8yFMTbYNtbW1vOWwUTMBbCjvB6Xrt6IykMtPZYNjwrDP25YhqVTRplQmXlCKRfXr5iC335zDnRX6Nu0uxqrntmEuqbQ+fvoTSjlgvqOuTDGBtvG3G6etEM9hXoutpbW4vKnNuLg4dYey0bFRuDlG5dj/oR4EyozV6jlYuXSifjzxfOgu3jIlpJarHx6I2o0GQk1oZYL6hvmwhgbbBuLiYkxuwSyoFDORcaeaqx8ahNqG3uOviQNj8QrNy3DbM0dAENBKObiWwtT8MgVCxGm6bK3ldXjsic34oDmtxyhJBRzQcaYC2NssG2sulp/BzMKbaGai/WFVVj1zFc4pJlfmxwfjbU3Lce0McNMqMwaQjUX5xw7Dk9etQgRYT3/O9xZcQiXrt6A8rqe8/RDRajmgnrHXBhjg21j48ePN7sEsqBQzMWnOyvxnb9vRqPmChGTRsVg7c3LMXFUrAmVWUco5qLDqTOT8OzVxyEqvOd/iUVVh3HJ6g3YW91oQmXmC+VckG/MhTE22Da2e/dus0sgCwq1XPx3237c8Hw6Wlw95wymjYnD2puWIzk+2oTKrCXUctHdCWmJeP7apYiNcPZYtre6CZes3oDCAw0mVGauUM8F6TEXxnirdBtzu91wOPgZio4WSrl4Y0spfvLqVrS7ex7nZo0bjhevW4JRcZEmVGY9oZSL3mwpqcHVz36F+uaeU4kS4yLwwnVLMWtc6MzTZy5Ih7noxFulh6CsrCyzSyALCpVc/GPTHvxobba2uZ43IR4v37CMzXUXoZILIwtSR+KfNy5DQmxEj2VVDa247MmNyNpba0Jl5mAuSIe5MMYRbCKynac+K8Jv1+3QLjtu0kg8e81xGBYVHuSqaCjJrziEK57epL2KSGyEE89ccxyWhdi10omoJ45gh6CMjAyzSyALsnMulFJ48MNdPpvrFWmJWHPtEjbXGnbOhT/SkobhVR/z8w+3tuPqZ7/CpzsrTagsuJgL0mEujHEEm4hsQSmF+9ftwFOf60++OWN2Eh6+YgEiw3qexEbky77aJqx8ehN2Vx3usSzcKfjbZQtw9rHjTKiMiKzAkiPYInKWiOwUkQIRuVOz/EcikisiW0XkIxGZaEadQ1VmZqbZJZAF2TEX7W6Fu97c5rO5vmD+eDy6ciGb617YMReBMD4+Gq/ctAwzknpeI72tXeHWlzLxekapCZUFB3NBOsyFMdNGsEXECWAXgNMBlALYDOBypVRul3VOAbBJKdUoIt8FcLJS6tLetssR7E48y5d07JaLVpcbP1ybhXe2lmuXX74kFb+5cA6cunti0xF2y0Wg1Ta24upnv0J2aZ12+f+dNxvXnTA5yFUNPuaCdJiLTlYcwV4CoEApVaSUagXwMoALuq6glPpEKdVxdf+NAFKCXOOQlpeXZ3YJZEF2ysXhFheuW7PZZ3N9/QmTcf832Vz3hZ1yMRjiYyLw4vVLsWRygnb5fW/n4s/v74Tdpl0yF6TDXBgzs8FOBrC3y9el3td8uQ7Au7oFInKjiKSLSHp5eTmqqqpQXl6OsrIy1NTUoLCwEE1NTcjNzYXb7T7yq42OSfqZmZlwu93Izc1FU1MTCgsLUVNTg7KyMnRsr7i4GA0NDcjLy4PL5UJ2dvZR2+h4zsnJQUtLC/Lz81FfX4+SkhJUVlaisrISJSUlqK+vR35+PlpaWpCTk6PdRnZ2NlwuF/Ly8tDQ0IDi4mK/9mnixIm22yc7vk/B3qfk5GRb7FPOriJctno9Ps+v0hwVgEtmx+Kuc2dh69atQ2afzMyew+Gw3T4F+n1qqq/BA+dNwpIJcdrMPfxxAe5+cxu+8v4WdSjsk9H71NDQMOTeJztmz2r7FBsba7t98vd98sXMKSIXAThLKXW99+tVAJYqpW7TrHslgNsAnKSU8r034BSRrgoLCzF16lSzyyCLsUMu9tc1Y9Uzm5Bfqb+z3t3nzsL1K6YEuaqhzQ65CJYWVzt++EoW1uXs1y4/d+44/PWS+YgIG/q/QmcuSIe56GTFKSJlACZ0+TrF+9pRROQ0AHcBON+ouaajJSTof5VJoW2o56LoQAO+/fh6bXPtdAgeuHgem2s/DPVcBFNkmBMPX74Qly9J1S5/Z2s5rluzGYdbet4NcqhhLkiHuTBmZoO9GUCaiEwWkQgAlwF4q+sKIrIAwGp4mmv7X3A0wBobG41XopAzlHOxrawOFz+xAWW1TT2WRYQ58MSVi3DRIp6q4Y+hnAszOB2C+785B7ecrB/F+zy/Ciuf3oSaw61BriywmAvSYS6MmdZgK6Vc8Ez7eA/ADgBrlVLbReTXInK+d7U/AYgD8KqIZInIWz42Rxo8w5d0hmou/rfrAC5dvQEHNQ1LXGQYnr92CU6fnWRCZfYwVHNhJhHBHWfNxF3nzNIuz9pbi28/sR57q4duM8JckA5zYSzMzB+ulFoHYF23137Z5c+nBb0oGwkP593qqKehmIu1m/fi52/koN3d85yRUbERWHPtEsxJHmFCZfYxFHNhFTecOAXxMeG48189M1p04DC++diXePaa4zA3Jd6kCv3HXJAOc2GMH0FsrOPsb6KuhlIulFL46we7cMfrW7XNdXJ8NF69eTmb6wAYSrmwoosXT8DjKxdqT2ysamjFpas34uO8ChMqGxjmgnSYC2NssG0sMTHR7BLIgoZKLtra3bjjta146KN87fIZScPw2neXY8po/SXTqH+GSi6s7IxjxmLNd5ZgWFTPXw43tbXj+jXpeGlTiQmV+Y+5IB3mwhgbbBsrLbXv7XvJf0MhFw0tLlz73Ga86uMW1MunjMLam5dj3IjoIFdmX0MhF0PB8qmj8NrNX8P4EVE9lrkV8Is3cvDAe0PnhjTMBekwF8ZMuw72YOF1sDu5XC6EhZk6zZ4syOq52F/XjGuf24zc8nrt8gvnj8cfL5pni2sMW4nVczHU7K9rxjV//wp5+w9pl39rQTJ+9+1jERnmDHJl/cNckA5z0cmK18GmQbZ9+3azSyALsnIusvbW4vxHvvDZXN9y8lT89VJ73MDDaqyci6Fo7IgovHrzcqxI0/8q/V9bynDFU5tw4JC1b+/AXJAOc2GMI9hEZAlvbinDHa9vRavL3WOZQ4D7LpyDlUsnmlAZkf/a2t248/UcvJ6p/5X6+BFRePKqxTxRl2iI4gh2CMrIyDC7BLIgq+XC7Vb4w3/zcPsrWdrmOjrciaeuWszmepBZLRd2Ee504IGL5+L7X0/TLt9X14yLn9iAd3PKg1xZ3zAXpMNcGOMINhGZ5lBzG374ShY+3KG/UeuYYZF46qrFmDdh6F0/mKi7tZv34q43c9DWrv9/9/bT0vD9U9PgcEiQKyMif3EEOwTxEybpWCUXJQcb8e3H1/tsruemjMBbt53A5jpIrJILO7vkuAn4x/XLkBAboV3+4If5uO2fmWhsdQW5Mt+YC9JhLoxxBJuIgu7TnZW4/ZUs1Da2aZd/Y954/OmiuYgKt/YVFoj8sbe6ETc8n+7zCiOzxg3H4ysXYlJibJArI6L+4gh2CMrJyTG7BLIgM3PR7lb48/s78Z3nNvtsrn9yxnT87bL5bK6DjMeL4JmQEIPXv/s1nD47Sbt8R3k9vvHwF/jvNvPnZTMXpMNcGOMIto21tLQgMjLS7DLIYszKxYFDLfjBy1uwvvCgdnlMhBN/uWQ+zpozNsiVEcDjhRncboW/fLALj3xS4HOd606YjDvPnolwpznjYcwF6TAXnTiCHYJKSobWLXkpOMzIxVe7q3Hu3z732Vwnx0fj9e9+jc21iXi8CD6HQ/CTM2fgocvmI9LHtd2f+WI3Ll29Aftqm4JcnQdzQTrMhTE22DaWlKT/9SOFtmDmQimFJ/5XiMuf2ohKHzfUWJGWiLduOx6zxg0PWl3UE48X5rlgfjJe/+7XkJoQo12eWVKLc//2Of6360CQK2MuSI+5MMYG28Zqa2vNLoEsKFi5OHCoBdetScfv381Du7vnVDQR4IenTcdz31mCUXH8VaPZeLww15zkEfjP907AGT7mZdc0tuGav3+FP/w3T3u9+MHCXJAOc2GMDbaNRUVFmV0CWVAwcvHe9v0488HP8HGe/hJ8o2Ij8Py1S/CD09Lg5DV/LYHHC/ONiA7H6lWLcNc5s7T/LpQCHv+0EBc++iV2VeivQBJozAXpMBfG2GATUcA0tLhwx2vZuOmFDFQfbtWus3jiSLzz/RVYkTY6yNURWZ+I4IYTp+DlG5chabj+Nzu55fU47+Ev8MwXu+HW/HaIiMzHBtvGmpubzS6BLGiwcrG5uBpnP/QZ1qaX+lznxhOn4J83LsPYERz9sBoeL6zluEkJeOf7K3DCtETt8laXG/e9nYsrn9k0qCdAMhekw1wYY4NtY/HxvAMe9RToXLS42vGH/+bhktUbsLda/x/9qNgIPHXVYvzinFmmXW6MesfjhfUkxkVizbVL8JMzpiPMx1Sq9YUHceaDn+HNLWUYjMvuMhekw1wY4/90NlZRUWF2CWRBgczFpqKDOPdvX+DxTwvh6//2r88cg//efqLPm2qQNfB4YU1Oh+C2U9Pwxi3HY+po/Z0dDzW7cPsrWbhuTTr2VjcG9OczF6TDXBjjjWZsjBeCJ51A5KLmcCt+9+6OXqeDxEQ48cvzZuPS4yZAhCcyWh2PF9bX1Or5bdFz64t9rhMd7sTtp6Xh2hMmB+S3RcwF6TAXnXijmRC0a9cus0sgCxpILpRSeD2jFF//y/96ba4XpsZj3fdX4LIlqWyuhwgeL6wvOsKJe84/Bs9fu8TnCZBNbe343bt5+MbDXyCzpGbAP5O5IB3mwhhHsImoT4oONODuN7f5vBsjAIQ5BD88fTpuOnEKwjjXmmjQ1Da24u43t+HtreU+1xEBrlw6ET89awaGR4UHsTqi0MER7BCUkZFhdglkQf3NRV1jG377Ti7OetD3rc4BYP6EeLx12wm49ZRpbK6HIB4vhpb4mAg8csVCPL5yoc/RbKWAFzbuwakPfIoXN+6Bq73/N6hhLkiHuTDGEWwi0mpxteOFDXvw8McFqGtq87nesMgw3HH2TFyxJJU3jSEywaHmNvz5/V1Ys6HY58nGADB1dCx+cc4snDpzDKduEQUIR7BDED9hko5RLpRSeGdrOU7/y2f4zTs7em2uz507Dh/9+CSsWjaRzfUQx+PF0DUsKhz3nH8M3rzleBwzfrjP9QoPHMZ1a9Jx+VMbkVNa16dtMxekw1wY4wg2ER3x1e5q/O7dHdhSUtvreikjo3HfhXNwyowxQaqMiPrC1e7Gc+uL8ZcPdqGxtb3XdS+cPx4/PmMGJiTEBKk6IvvhCHYIys7ONrsEsqDuuVBK4fP8A7h09QZcsnpDr811VLgD3zt1Gj744Ulsrm2Gxwt7CHM6cP2KKfjgRyfh/Hnje133zax9OPmBT/GjtVkoqGzQrsNckA5zYYwj2DbmcrkQFhZmdhlkMR25UErhox2VePiTAmTv7X3EWgS4aGEKfnzGDN7m3KZ4vLCnrL21uP+dHfiquLrX9USAc+aMw62nTMPsLtNMmAvSYS46+RrBZoNtY3l5eZg5c6bZZZDFbM/dgd2uEXjk4wLk7T9kuP6KtET8/OxZR/2nS/bD44V9KaXwQW4Ffv9uHoqqDhuuf9qsMbj1lGlYkDqSuSAt5qITG+wQ1NDQgLi4OLPLIIs42NCCV9L34sUNxdhX12K4/syxw/Dzc2bhpOmjB784Mh2PF/bX1u7Gy1+V4K8f5qP6cKvh+gtS43HJgrH41nGTEBnmDEKFNFTweNHJV4PN8X0bq6qq4j+AEKeUQtbeWrywYQ/ezilHq8v4OrjTxsTh1lOm4vx5ybwySAjh8cL+wp0OrFo+CRcuSMbzG/bg6c+LUNPo+ypBW0pqsaWkFn/6sAiXHjcBK5emImUkT4gkHi/6giPYNlZVVYXExESzyyATNLS4sG5rOV7YuAc5ZX27s+06CwAAE29JREFUHNcx44fje6dOwxmzx8LBxjrk8HgRehpbXXhpUwme/KwIlYeMf6vlEODUmUlYuSwVK6Yl8oZSIYzHi04cwQ5BbW2+RybIflpdbvxv1wG8mVWGD3Mr0NKH0WoAWJgaj++dmoaTZ4zmzSdCGI8XoScmIgzXr5iCK5dNxKsZpXji00KU1Tb5XN+tgA93VODDHRVIjIvAeXPH44L54zF/QjyPHSGGxwtjbLBtzO3u/21xaWhxuxXS99TgzawyrMspR20vv+7tSgQ4ZcYYXH/CZCyfOor/ORKPFyEsKtyJVcsm4rLjJuDNLWX4+5fFyC2v7/V7qhpa8dz6Yjy3vhiTRsXg/PnJuHD+eEwZzWkDoYDHC2OcImJjNTU1GDlypNllUIA1t7VjfWEVPtxRiY93VGJ/fXOfvzc+JhwXzBmN606agdRRnEtJnXi8oA5KKWSW1OD5DXvwztZyuNx97xNmjh2G02Yl4dRZYzA/JZ7TzWyKx4tOnCISgqqrq/kPwCYq6pvx0Y5KfJxXgS8KqtDc1r/Rg3kpI7Bq+SScN3ccykqK2VxTDzxeUAcRwaKJCVg0MQGr5sRg0wEn/rFxD/bVGX+Yz9t/CHn7D+GRTwqQGBeBk2eMwWmzxuCEtNGIi2TLYRc8XhjjCLaNNTU1ITo62uwyyA9VDS34anc1NhYdxMaig9hVob/LWm9GxoTjvLnjcdGiFMybEH/kdeaCdJgL0unIhavdjY/zKvHGljJ8lFfZpysSdRXuFMxLiceyKaOwbMooLJwYj5gINtxDFY8XnXgd7BCUm5uL2bNnm10GGVBKobSmCdmltdhU5Gmq833ctthIVLgDZ8weiwsXjMeKtNEI15zlz1yQDnNBOrpc1DW14b1t+/HGljJs3H0Q/rQR4U7B3JR4LJuSgOMmJWBeSjxGxkYEqGoabDxedGKDHYLcbjccDl5GyUqUUqiob8HW0lrklNVha2kdcsrq+nTTB1/CnYLlUxNx4fzxOOOYsYa/hmUuSIe5IB2jXOyva8Zb2WV4K3sftpX1fmKkkQkJ0ZibHI9jU0ZgbvIIzEkZgeFR4QPaJg0OHi86scEOQZmZmVi4cKHZZYSsgw0tyK9sQH7FIe9zA/IrD6Gqwf9mukNCbAROnjEap81Kwoq0RAzrx39CzAXpMBek059clNc1ec8VqcSXBVV9vlRobyYkRCNtzDCkJcV5nsfEYdqYOMRyPrepeLzoxAabKMDcboXKQy0oqW488ij1PhdVHR7QqLTOzLHDcOrMMfj6rCTMnxDPuywSkWU1tbbjy4IqfJRXiU/y+ne1o75Ijo/GpMQYpCbEYEKC57njMSI6nJcepaBhgx2CMjIysGjRIrPLGHLcboX65jYcPNyK6sOtqKhvxv66Zs9zfQsq6pqxv97z6O+JPv0xI2kYlk1JwNIpo7BkcgIS4yIDsl3mgnSYC9IJRC6UUthzsBEbiw5i0+5qbCg8GPCGu6u4yDCMHRGFscOjkDQ8CmNHRB758+hhkUiMi0RCbARiIpxsxP3E40UnNtgUMpRSaHG50djajsMtLhxudeFwiwsNLe2oa2pDfVOb57m5DfVNLtQ3taGm0dNMdzTV7f247msgRIY5MHv8cMxLicfSyQlYMjkBowLUUBMRWYlSCiXVnob7q901yCmrRUFlA4J82EVkmAOjYiOQEBeBhNhIxEeHY0R0OIZHh3meo8Ix3PscG+lEXGQYYiLDEBcRhphIp/Ykcgo9lrwOtoicBeAhAE4ATyulft9teSSA5wEsAnAQwKVKqWKj7br7+a800P+me/vQ0tvP6u2zjvJ+Z/d1un7dfZ2srCzMmz//SD2q6/rKs75SHa+rI8uPvK4At/f1jr9Tt1JHXncrz/e5vV+3u1WX5y6vuRXalYLLrdDe7n12K7jcbs9zu0JruxuudjdcboW2dgVXuxut7W60utxocXX+uePR7GpHc1s7mtrcaGlrR1Ob9+vWdjS2tvfrxgjBFu4UzBw7HMemjMC8lBE4NjkeaUlxQTtYc+4c6TAXpDMYuRARTBwVi4mjYnHpcakAgMMtLuSW12NraZ3nJPDSOhRVHQ7oz+2uxeXGvrrmPl3fWycizIGYCCeiw52IOvJwdPnagQinAxFh3ofT2eXPgjCnA2EOQUSYA2EOB8KcgnCnwOnwvO50SJdnBxwOwCkCh0PgEM/rnq8Bh4j34fn7dUjnayLwPrzL4XmG988igMCz3PPseR3e74NnVc+z94XsrCzMnz+/y3LxLu/599R9HZ3efpHga9Fg/PYhkFs0bQRbRJwAdgE4HUApgM0ALldK5XZZ5xYAc5VSN4vIZQC+qZS6tLftRo5LU+OufnAQKyfqmwinA1NGx2LaGM/JOdOT4pCWFIeJo2JNHfng2d+kw1yQjpm5aGx1oeDICeKdJ4zvrWn069KARINhzx/Os9wI9hIABUqpIgAQkZcBXAAgt8s6FwC4x/vn1wA8IiKi7DavhYasuMiwzpNrRh19ss2EkdEIs+CvEPPy8nj9UuqBuSAdM3MRExGGuSnxmJsSf9TrTa3t2FN9GCUHG486ydxzonkTWtsH79wYor4y83//ZAB7u3xd6n1Nu45SygWgDsCo7hsSkRtFJF1EOPmaAiI63IGxcWE4Nnk4liRHY+XSVFx2TBz++O25uHvFSLx3+4n4x7fHY8vdp+IvZ47GA9+cgStmR+PsabGYPsyFiJZaHKqvQ2FhIZqampCb+//t3X+MXWWdx/H3Z+78KuVXC0bItIL80FgFhVXZDbsBlZCKDUaCUX5FrIq/GtGgm0U2rj82yybu+mNlEyGKStWoQUAkogLWGIkYsHasrYUy7GxldrCM1gzTdqZz5373j+fc6entmZna3jvnOvN5JZN7z3Oee+733D65/faZ7/N0K7VajY0bNwJpgQikX7/WajW2bt3K3r1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          "model_name": "OutputModel",
          "state": {
            "_view_name": "OutputView",
            "msg_id": "",
            "_dom_classes": [],
            "_model_name": "OutputModel",
            "outputs": [
              {
                "output_type": "display_data",
                "metadata": {
                  "tags": [],
                  "needs_background": "light"
                },
                "image/png": 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\n",
                "text/plain": "<Figure size 864x360 with 1 Axes>"
              }
            ],
            "_view_module": "@jupyter-widgets/output",
            "_model_module_version": "1.0.0",
            "_view_count": null,
            "_view_module_version": "1.0.0",
            "layout": "IPY_MODEL_d26c14de6ac84ce58329725a0f822381",
            "_model_module": "@jupyter-widgets/output"
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        },
        "d26c14de6ac84ce58329725a0f822381": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
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    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "dW9Ct7keeBrH"
      },
      "source": [
        "# <a href=\"https://mipt-stats.gitlab.io/courses/python.html\">Python для анализа данных</a>\n",
        "\n",
        "## Библиотека `scipy` (модуль `scipy.stats`)\n",
        "\n",
        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)\n",
        "\n",
        "Нам пригодится только модуль `scipy.stats`.\n",
        "Полное описание доступно по <a  target=\"_blank\" href=\"http://docs.scipy.org/doc/scipy/reference/stats.html\">ссылке</a>. По ссылке можно прочитать полную документацию по работе с непрерывными (Continuous), дискретными (Discrete) и многомерными (Multivariate) распределениями. Пакет также предоставляет некоторое количество статистических методов, которые рассматриваются в курсах статистики."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:32.697668Z",
          "start_time": "2020-03-14T07:58:31.510357Z"
        },
        "id": "RiDJwiqBeBrN"
      },
      "source": [
        "import scipy.stats as sps\n",
        "import numpy as np\n",
        "import ipywidgets as widgets\n",
        "import matplotlib.pyplot as plt\n",
        "%matplotlib inline"
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "tS2sqsC6eBrO"
      },
      "source": [
        "### 1. Работа с библиотекой `scipy.stats`."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "V52XGUUXeBrO"
      },
      "source": [
        "<b>Общий принцип:</b>\n",
        "\n",
        "Пусть $X$ — класс, реализующий некоторое распределение. Конкретное распределение с параметрами `params` можно получить как **`X(params)`**. У него доступны следующие методы:\n",
        "\n",
        "\n",
        "* `X(params).rvs(size=N)` — генерация выборки размера $N$ (<b>R</b>andom <b>V</b>ariate<b>S</b>). Возвращает `numpy.array`;\n",
        "* `X(params).cdf(x)` — значение функции распределения в точке $x$ (<b>C</b>umulative <b>D</b>istribution <b>F</b>unction);\n",
        "* `X(params).logcdf(x)` — значение логарифма функции распределения в точке $x$;\n",
        "* `X(params).ppf(q)` — $q$-квантиль (<b>P</b>ercent <b>P</b>oint <b>F</b>unction);\n",
        "* `X(params).mean()` — математическое ожидание;\n",
        "* `X(params).median()` — медиана ($1/2$-квантиль);\n",
        "* `X(params).var()` — дисперсия (<b>Var</b>iance);\n",
        "* `X(params).std()` — стандартное отклонение = корень из дисперсии (<b>St</b>andard <b>D</b>eviation).\n",
        "\n",
        "Кроме того для непрерывных распределений определены функции\n",
        "* `X(params).pdf(x)` — значение плотности в точке $x$ (<b>P</b>robability <b>D</b>ensity <b>F</b>unction);\n",
        "* `X(params).logpdf(x)` — значение логарифма плотности в точке $x$.\n",
        "\n",
        "А для дискретных\n",
        "* `X(params).pmf(k)` — значение дискретной плотности в точке $k$ (<b>P</b>robability <b>M</b>ass <b>F</b>unction);\n",
        "* `X(params).logpdf(k)` — значение логарифма дискретной плотности в точке $k$.\n",
        "\n",
        "Все перечисленные выше методы применимы как к конкретному распределению `X(params)`, так и к самому классу `X`. Во втором случае параметры передаются в сам метод. Например, вызов `X.rvs(size=N, params)` эквивалентен `X(params).rvs(size=N)`. При работе с распределениями и случайными величинами рекомендуем использовать первый способ, посколько он больше согласуется с математическим синтаксисом теории вероятностей.\n",
        "\n",
        "Параметры могут быть следующими:\n",
        "* `loc` — параметр сдвига;\n",
        "* `scale` — параметр масштаба;\n",
        "* и другие параметры (например, $n$ и $p$ для биномиального).\n",
        "\n",
        "---"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "aYMN5zjDeBrP"
      },
      "source": [
        "Для примера сгенерируем выборку размера $N = 200$ из распределения $\\mathcal{N}(1, 9)$ и посчитаем некоторые статистики.\n",
        "В терминах выше описанных функций у нас $X$ = `sps.norm`, а `params` = (`loc=1, scale=3`).\n",
        "\n",
        "*Примечание.* Выборка — набор независимых одинаково распределенных случайных величин. Часто в разговорной речи выборку отождествляют с ее *реализацией* — значения случайных величин из выборки при \"выпавшем\" элементарном исходе."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:32.709200Z",
          "start_time": "2020-03-14T07:58:32.700539Z"
        },
        "id": "hydusgOXeBrP",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "40368799-8aeb-4294-acdc-41787025db73"
      },
      "source": [
        "sample = sps.norm(loc=1, scale=3).rvs(size=200)\n",
        "print('Первые 10 значений выборки:\\n', sample[:10])\n",
        "print('Выборочное среденее: %.3f' % sample.mean())\n",
        "print('Выборочная дисперсия: %.3f' % sample.var())"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Первые 10 значений выборки:\n",
            " [ 0.65179639 -0.66437884  0.61450407 -0.1828078   0.42271419  0.14424901\n",
            "  2.01547486  7.81094724 -1.35246891 -1.35574313]\n",
            "Выборочное среденее: 0.854\n",
            "Выборочная дисперсия: 9.118\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "k74NXgr4NjqM"
      },
      "source": [
        "Вероятностные характеристики"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:32.719090Z",
          "start_time": "2020-03-14T07:58:32.711131Z"
        },
        "id": "c5evbn48eBrP",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "0984b78e-449e-4718-c4b3-eea0d0ae6bee"
      },
      "source": [
        "print('Плотность:\\t\\t', sps.norm(loc=1, scale=3).pdf([-1, 0, 1, 2, 3]))\n",
        "print('Функция распределения:\\t', sps.norm(loc=1, scale=3).cdf([-1, 0, 1, 2, 3]))"
      ],
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Плотность:\t\t [0.10648267 0.12579441 0.13298076 0.12579441 0.10648267]\n",
            "Функция распределения:\t [0.25249254 0.36944134 0.5        0.63055866 0.74750746]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "K5OBJiUseBrQ"
      },
      "source": [
        "$p$-квантиль распределения с функцией распределения $F$ — это число $min\\{x: F(x) \\geqslant p\\}$."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:32.923695Z",
          "start_time": "2020-03-14T07:58:32.918335Z"
        },
        "id": "OQKLA3N4eBrQ",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "9b3e763b-3361-48da-d6c2-e6c0399cacff"
      },
      "source": [
        "print('Квантили:', sps.norm(loc=1, scale=3).ppf([0.05, 0.1, 0.5, 0.9, 0.95]))"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Квантили: [-3.93456088 -2.8446547   1.          4.8446547   5.93456088]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "NvFlLLDKeBrQ"
      },
      "source": [
        "Cгенерируем выборку размера $N = 200$ из распределения $Bin(10, 0.6)$ и посчитаем некоторые статистики.\n",
        "В терминах выше описанных функций у нас $X$ = `sps.binom`, а `params` = (`n=10, p=0.6`)."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:33.525950Z",
          "start_time": "2020-03-14T07:58:33.513746Z"
        },
        "id": "fWB5Rkm1eBrR",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "340ed84e-801d-43c6-e0fd-8c0d3f2fb1bc"
      },
      "source": [
        "sample = sps.binom(n=10, p=0.6).rvs(size=200)\n",
        "print('Первые 10 значений выборки:\\n', sample[:10])\n",
        "print('Выборочное среденее: %.3f' % sample.mean())\n",
        "print('Выборочная дисперсия: %.3f' % sample.var())"
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Первые 10 значений выборки:\n",
            " [7 5 7 8 3 4 7 7 7 9]\n",
            "Выборочное среденее: 6.165\n",
            "Выборочная дисперсия: 2.168\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:33.749192Z",
          "start_time": "2020-03-14T07:58:33.738136Z"
        },
        "id": "2lfOf38deBrR",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "e296eb92-d6c2-422e-a324-aeddc76d6752"
      },
      "source": [
        "print('Дискретная плотность:\\t', sps.binom(n=10, p=0.6).pmf([-1, 0, 5, 5.5, 10]))\n",
        "print('Функция распределения:\\t', sps.binom(n=10, p=0.6).cdf([-1, 0, 5, 5.5, 10]))"
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Дискретная плотность:\t [0.00000000e+00 1.04857600e-04 2.00658125e-01 0.00000000e+00\n",
            " 6.04661760e-03]\n",
            "Функция распределения:\t [0.00000000e+00 1.04857600e-04 3.66896742e-01 3.66896742e-01\n",
            " 1.00000000e+00]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:33.970132Z",
          "start_time": "2020-03-14T07:58:33.959058Z"
        },
        "id": "y7o-GuuHeBrR",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "5a08fdf4-7451-440d-d8aa-952fe847ba63"
      },
      "source": [
        "print('Квантили:', sps.binom(n=10, p=0.6).ppf([0.05, 0.1, 0.5, 0.9, 0.95]))"
      ],
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Квантили: [3. 4. 6. 8. 8.]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "J-LyF4yIeBrR"
      },
      "source": [
        "Отдельно есть класс для <b>многомерного нормального распределения</b>.\n",
        "Для примера сгенерируем выборку размера $N=200$ из распределения $\\mathcal{N} \\left( \\begin{pmatrix} 1 \\\\ 1 \\end{pmatrix},  \\begin{pmatrix} 2 & 1 \\\\ 1 & 2 \\end{pmatrix} \\right)$."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:34.410623Z",
          "start_time": "2020-03-14T07:58:34.390140Z"
        },
        "id": "1jlvj9gIeBrS",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "ad6d84b8-c977-4c1b-aa02-1e1e390fe437"
      },
      "source": [
        "sample = sps.multivariate_normal(\n",
        "    mean=[1, 1], cov=[[2, 1], [1, 2]]\n",
        ").rvs(size=200)\n",
        "\n",
        "print('Первые 10 значений выборки:\\n', sample[:10])\n",
        "print('Выборочное среденее:', sample.mean(axis=0))\n",
        "print('Выборочная матрица ковариаций:\\n', np.cov(sample.T))"
      ],
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Первые 10 значений выборки:\n",
            " [[ 1.69374692  1.88819464]\n",
            " [ 0.06094306  1.10440123]\n",
            " [ 0.9985689   0.38793314]\n",
            " [-0.05124054  2.64624984]\n",
            " [-1.08093916 -0.74553625]\n",
            " [ 1.50160454  1.71582213]\n",
            " [-0.24648123 -2.37643511]\n",
            " [ 1.55031141  1.12400891]\n",
            " [ 0.08503169  1.19245874]\n",
            " [-0.1134207   0.21094917]]\n",
            "Выборочное среденее: [0.84928867 0.91685823]\n",
            "Выборочная матрица ковариаций:\n",
            " [[1.86556049 1.00332244]\n",
            " [1.00332244 2.2325611 ]]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "HrGDxyHNeBrS"
      },
      "source": [
        "Некоторая хитрость :)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:34.847186Z",
          "start_time": "2020-03-14T07:58:34.843737Z"
        },
        "id": "zUr6BiGOeBrS",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "35911d37-8989-418d-d9fa-26645e23d620"
      },
      "source": [
        "sample = sps.norm(loc=np.arange(10), scale=0.1).rvs(size=10)\n",
        "print(sample)"
      ],
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "[0.05009553 1.02867603 1.89595868 3.01659664 3.83682401 4.98726169\n",
            " 6.05236321 7.09904293 7.94902725 8.9902001 ]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "hZgBO7QmeBrS"
      },
      "source": [
        "Бывает так, что <b>надо сгенерировать выборку из распределения, которого нет в `scipy.stats`</b>.\n",
        "Для этого надо создать класс, который будет наследоваться от класса `rv_continuous` для непрерывных случайных величин и от класса `rv_discrete` для дискретных случайных величин.\n",
        "<a  target=\"_blank\" href=\"http://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.rv_continuous.html#scipy.stats.rv_continuous\">Пример из документации.</a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "KvR6Fj2beBrT"
      },
      "source": [
        "Для примера сгенерируем выборку из распределения с плотностью $f(x) = \\frac{4}{15} x^3 I\\{x \\in [1, 2] = [a, b]\\}$."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:35.749702Z",
          "start_time": "2020-03-14T07:58:35.533423Z"
        },
        "id": "33HoenpteBrT",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "777a88c6-7dc6-4307-943a-d0cf2b626d1a"
      },
      "source": [
        "class cubic_gen(sps.rv_continuous):\n",
        "    def _pdf(self, x):\n",
        "        return 4 * x ** 3 / 15\n",
        "cubic = cubic_gen(a=1, b=2, name='cubic')\n",
        "\n",
        "sample = cubic.rvs(size=200)\n",
        "\n",
        "print('Первые 10 значений выборки:\\n', sample[:10])\n",
        "print('Выборочное среденее: %.3f' % sample.mean())\n",
        "print('Выборочная дисперсия: %.3f' % sample.var())"
      ],
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Первые 10 значений выборки:\n",
            " [1.45678688 1.93053454 1.97369852 1.49545567 1.81143562 1.52569568\n",
            " 1.73986517 1.53557906 1.57319167 1.98652277]\n",
            "Выборочное среденее: 1.648\n",
            "Выборочная дисперсия: 0.069\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9DHOFdMUeBrT"
      },
      "source": [
        "Если дискретная случайная величина может принимать небольшое число значений, то можно не создавать новый класс, как показано выше, а явно указать эти значения и из вероятности."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:36.026013Z",
          "start_time": "2020-03-14T07:58:36.010524Z"
        },
        "id": "NonnToRBeBrT",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "67f41dec-f655-4c7f-bbb5-cd45cb43ef7e"
      },
      "source": [
        "some_distribution = sps.rv_discrete(\n",
        "    name='some_distribution', \n",
        "    values=([1, 2, 3], [0.6, 0.1, 0.3])  # значения и вероятности\n",
        ")\n",
        "\n",
        "sample = some_distribution.rvs(size=200)\n",
        "\n",
        "print('Первые 10 значений выборки:\\n', sample[:10])\n",
        "print('Выборочное среденее: %.3f' % sample.mean())\n",
        "print('Частота значений по выборке:', \n",
        "      (sample == 1).mean(), (sample == 2).mean(), (sample == 3).mean())"
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Первые 10 значений выборки:\n",
            " [3 1 3 1 1 1 1 1 3 3]\n",
            "Выборочное среденее: 1.855\n",
            "Частота значений по выборке: 0.52 0.105 0.375\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "c7ayL2ZveBrU"
      },
      "source": [
        "### 2. Свойства абсолютно непрерывных распределений"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "lIGf7AqaeBrU"
      },
      "source": [
        "Прежде чем исследовать свойства распределений, напишем вспомогательную функцию для отрисовки плотности распределения. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:36.697903Z",
          "start_time": "2020-03-14T07:58:36.683545Z"
        },
        "id": "2wkHpAmEeBrU"
      },
      "source": [
        "def show_pdf(pdf,  xmin, xmax, ymax, grid_size, distr_name, **kwargs):\n",
        "    \"\"\"\n",
        "    Рисует график плотности непрерывного распределения\n",
        "    \n",
        "    pdf - плотность\n",
        "    xmin, xmax - границы графика по оси x\n",
        "    ymax - граница графика по оси y\n",
        "    grid_size - размер сетки, по которой рисуется график\n",
        "    distr_name - название распределения\n",
        "    kwargs - параметры плотности\n",
        "    \"\"\"\n",
        "    \n",
        "    grid = np.linspace(xmin, xmax, grid_size)  \n",
        "    plt.figure(figsize=(12, 5))\n",
        "    plt.plot(grid, pdf(grid, **kwargs), lw=5)\n",
        "    plt.grid(ls=':')\n",
        "    plt.xlabel('Значение', fontsize=18)\n",
        "    plt.ylabel('Плотность', fontsize=18)\n",
        "    plt.xlim((xmin, xmax))\n",
        "    plt.ylim((None, ymax))\n",
        "    title = 'Плотность {}'.format(distr_name)\n",
        "    plt.title(title.format(**kwargs), fontsize=20)\n",
        "    plt.show()"
      ],
      "execution_count": 12,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xWM2eNROeBrU"
      },
      "source": [
        "#### 2.1 Нормальное распределение"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "qqQNWR4zeBrV"
      },
      "source": [
        "$\\mathcal{N}(a, \\sigma^2)$ — нормальное распределение. \n",
        "  \n",
        "Параметры в `scipy.stats`:  \n",
        "* `loc` = $a$,\n",
        "* `scale` = $\\sigma$.\n",
        "\n",
        "Свойства распределения: \n",
        "* математическое ожидание: $a$,\n",
        "* дисперсия: $\\sigma^2$."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "p56SkyKyeBrV"
      },
      "source": [
        "Посмотрим, как выглядит плотность нормального стандартного распределения $\\mathcal{N}(0, 1)$:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:38.152370Z",
          "start_time": "2020-03-14T07:58:37.597544Z"
        },
        "id": "ihrUnwhDeBrV",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 364
        },
        "outputId": "47d4f96b-5845-41d0-fe5f-6b36995ca0b4"
      },
      "source": [
        "show_pdf(\n",
        "    pdf=sps.norm.pdf, xmin=-3, xmax=3, ymax=0.5, grid_size=100, \n",
        "    distr_name=r'$N({loc}, {scale})$', loc=0, scale=1\n",
        ")"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "uavJ6kzEeBrV"
      },
      "source": [
        "Сгенерируем значения из нормального стандартного распределения и сравним гистограмму с плотностью:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:38.545691Z",
          "start_time": "2020-03-14T07:58:38.154203Z"
        },
        "id": "sdWxUh_MeBrV",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 452
        },
        "outputId": "4770bb19-caaf-403f-c433-ed91f648f4dc"
      },
      "source": [
        "sample = sps.norm.rvs(size=1000)  # выборка размера 1000\n",
        "grid = np.linspace(-3, 3, 1000)  # сетка для построения графика\n",
        "\n",
        "plt.figure(figsize=(16, 7))\n",
        "plt.hist(sample, bins=30, density=True, \n",
        "         alpha=0.6, label='Гистограмма выборки') \n",
        "plt.plot(grid, sps.norm.pdf(grid), color='red', \n",
        "         lw=5, label='Плотность случайной величины') \n",
        "plt.title(r'Случайная величина $\\xi \\sim \\mathcal{N}$(0, 1)', fontsize=20)\n",
        "plt.legend(fontsize=14, loc=1)\n",
        "plt.grid(ls=':')\n",
        "plt.show()"
      ],
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1152x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "_ZNKZKLneBrW"
      },
      "source": [
        "Исследуем, как меняется плотность распределения в зависимости от параметров.\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:38.904273Z",
          "start_time": "2020-03-14T07:58:38.547760Z"
        },
        "id": "WJG_OpToeBrW",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 460,
          "referenced_widgets": [
            "42bcea16ac9b453cb7b865b7122c2a4e",
            "a20b23a712dd4ff69ed95bbad5521799",
            "8437f69958494d0fb2321195483d6b6d",
            "a5b79afb56024fca905bd8f8da584053",
            "b533a93b94f74b978c1d3bfc954e8b66",
            "81900fdfa48a4fa4a98da4bb8f81bc43",
            "17df4f4f9a0846ecacecf9fc139696d0",
            "64f1017d5ab548879dfde6bfec27d40d",
            "a66192de7d9c4d2d924d2fab46ced8c9",
            "dcf82f850737400c9510ac552f735877",
            "80a262b2ac68452c9b2f2c510cc341a6",
            "d1872eb246a14bbfb0b6bef71ab5419c",
            "b70ce5b33aa94df4a18ecec83def24b3",
            "c5dd934a16e34a7287060ff5bdc93da0",
            "0418ac1649f64b2cb359263efe7e7f83",
            "a0f457199b4b4d568104b1a6105bb1d7",
            "f18a19f8184a4da2b4616a5c33090104",
            "72b567b07ea248feacd8b5b092d2eaa9",
            "a30dc32b1b5b4db38d6ec22c3dfff83f",
            "e2066d80bc554feaab4d81d77504eb82",
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            "3993381138b44e68a0510fcb1561fd6b",
            "e85e39ec056448e7835d270d471ac32f",
            "af106b56307244ccb3678815e3defbc9",
            "4fc9ed79d69249ef9f29f5e76a60f8fa",
            "badfae6541e24610834561565e0bda69"
          ]
        },
        "outputId": "d0c1f321-21e1-4e9d-f175-d3440dd0442c"
      },
      "source": [
        "# создать виджет, но не отображать его\n",
        "ip = widgets.interactive(show_pdf,\n",
        "    pdf=widgets.fixed(sps.norm.pdf),\n",
        "    grid_size=widgets.IntSlider(min=25, max=300, step=25, value=100),\n",
        "    xmin=widgets.FloatSlider(min=-10, max=0, step=0.1, value=-5),\n",
        "    xmax=widgets.FloatSlider(min=0, max=10, step=0.1, value=5),\n",
        "    ymax=widgets.FloatSlider(min=0, max=2, step=0.1, value=1),\n",
        "    loc = widgets.FloatSlider(min=-10, max=10, step=0.1, value=0),\n",
        "    scale = widgets.FloatSlider(min=0.01, max=2, step=0.01, value=1),\n",
        "    distr_name = r'$N$({loc}, {scale})'\n",
        ");\n",
        "\n",
        "# отображаем слайдеры группами\n",
        "display(widgets.HBox(ip.children[:2]))\n",
        "display(widgets.HBox(ip.children[2:4]))\n",
        "display(widgets.HBox(ip.children[5:7]))\n",
        "\n",
        "# отображаем вывод функции\n",
        "display(ip.children[-1])\n",
        "ip.update() # чтобы функция запустилась до первого изменения слайдеров"
      ],
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "42bcea16ac9b453cb7b865b7122c2a4e",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "HBox(children=(FloatSlider(value=-5.0, description='xmin', max=0.0, min=-10.0), FloatSlider(value=5.0, descrip…"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "a66192de7d9c4d2d924d2fab46ced8c9",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "HBox(children=(FloatSlider(value=1.0, description='ymax', max=2.0), IntSlider(value=100, description='grid_siz…"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "f18a19f8184a4da2b4616a5c33090104",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "HBox(children=(FloatSlider(value=0.0, description='loc', max=10.0, min=-10.0), FloatSlider(value=1.0, descript…"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "4fc9ed79d69249ef9f29f5e76a60f8fa",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "Output()"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9YfcbAiLeBrW"
      },
      "source": [
        "Показательный пример с разными значениями параметров распределения: "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:39.784166Z",
          "start_time": "2020-03-14T07:58:39.395256Z"
        },
        "id": "X4n1ZFBgeBrX",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 417
        },
        "outputId": "b99650ff-b096-435d-e165-d58c667d2917"
      },
      "source": [
        "grid = np.linspace(-7, 7, 1000)  # сетка для построения графика\n",
        "loc_values = [0, 3, 0]  # набор значений параметра a\n",
        "sigma_values = [1, 1, 2]  # набор значений параметра sigma\n",
        "\n",
        "plt.figure(figsize=(12, 6))\n",
        "\n",
        "for i, (a, sigma) in enumerate(zip(loc_values, sigma_values)):\n",
        "    plt.plot(grid, sps.norm(a, sigma).pdf(grid), lw=5, \n",
        "             label='$\\mathcal{N}' + '({}, {})$'.format(a, sigma))\n",
        "\n",
        "plt.legend(fontsize=16)\n",
        "plt.title('Плотности нормального распределения', fontsize=20)\n",
        "plt.xlabel('Значение', fontsize=18)\n",
        "plt.ylabel('Плотность', fontsize=18)\n",
        "plt.grid(ls=':')\n",
        "plt.show()"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "eucDO_p4eBrX"
      },
      "source": [
        "Значения параметров определяют положение и форму кривой на графике распределения, каждой комбинации параметров соответствует уникальное распределение.\n",
        "\n",
        "\n",
        "Для нормального распределения:\n",
        "* Параметр $loc = a$ отвечает за смещение кривой вдоль $\\mathcal{Ox}$, тем самым определяя положение вертикальной оси симметрии плотности распределения. Вероятность того, что значение случайной величины $x$ попадет в отрезок $\\mathcal{[m; n]}$, равна площади участка, зажатого кривой плотности, $\\mathcal{Ox}$ и вертикальными прямыми ${x = m}$, ${x = n}$. В точке $a$ значение плотности распределения наибольшее, соответственно вероятность того, что значение случайной величины, имеющей нормальное распределение, попадет в окрестность точки $а$ — наибольшая.\n",
        "\n",
        "  \n",
        "* параметр ${scale = \\sigma}$ отвечает за смещение экстремума вдоль  $\\mathcal{Oy}$ и \"прижимание\" кривой к вертикальной прямой  ${x = a}$, тем самым увеличивая площадь под кривой плотности в окрестности точки $а$. Другими словами, этот параметр отвечает за дисперсию — меру разброса значений случайной величины. При уменьшении параметра $\\sigma$ увеличивается вероятность того, что нормально распределенная случайная величина будет равна $a$. Это соответствует мере разброса значений случайной величины относительно её математического ожидания, то есть дисперсии $\\sigma^2$."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "mOWJE0DIeBrY"
      },
      "source": [
        "Проверим несколько полезных свойств нормального распределения."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Qm3SOioyeBrY"
      },
      "source": [
        "Пусть $\\xi_1 \\sim \\mathcal{N}(a_1, \\sigma_1^2)$ и $\\xi_2 \\sim \\mathcal{N}(a_2, \\sigma_2^2)$ — независимые случайные величины. Тогда $\\xi_3 = \\xi_1 + \\xi_1 \\sim \\mathcal{N}(a_1 + a_2, \\sigma_1^2 + \\sigma_2^2)$ "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:40.828149Z",
          "start_time": "2020-03-14T07:58:40.361460Z"
        },
        "id": "IWbfkMeAeBrY",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 476
        },
        "outputId": "cef219d3-d749-4bf9-d449-b41410396e28"
      },
      "source": [
        "sample1 = sps.norm(loc=-1, scale=3).rvs(size=1000)\n",
        "sample2 = sps.norm(loc=1, scale=4).rvs(size=1000)\n",
        "sample3 = sample1 + sample2\n",
        "\n",
        "grid = np.linspace(-15, 15, 1000)\n",
        "\n",
        "plt.figure(figsize=(14,7))\n",
        "plt.hist(sample3, density=True, bins=30, alpha=0.6, \n",
        "         label=r'Гистограмма суммы $\\xi_3 = \\xi_1 + \\xi_1$')\n",
        "plt.plot(grid, sps.norm(-1 + 1, np.sqrt(3*3 + 4*4)).pdf(grid), \n",
        "         color='red', lw=5, label=r'Плотность $\\mathcal{N}(0, 25)$')\n",
        "plt.title(\n",
        "    r'Распределение $\\xi_3=\\xi_1+\\xi_1\\sim\\mathcal{N}(-1 + 1, 3^2 + 4^2)$ ', \n",
        "    fontsize=20\n",
        ")\n",
        "plt.xlabel('Значение', fontsize=17)\n",
        "plt.ylabel('Плотность', fontsize=17)\n",
        "plt.legend(fontsize=16)\n",
        "plt.grid(ls=':')\n",
        "plt.show()"
      ],
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1008x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8vJu3CEceBrY"
      },
      "source": [
        "Пусть $\\xi$ из $\\mathcal{N}(a, \\sigma^2)$. Тогда $\\xi_{new} = c\\xi\\sim\\mathcal{N}(c  a,  c^2  \\sigma^2)$ "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:41.305240Z",
          "start_time": "2020-03-14T07:58:40.830063Z"
        },
        "id": "44ZxdCEZeBrY",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 474
        },
        "outputId": "410446b5-6474-4f50-98a5-865acf23abe9"
      },
      "source": [
        "sample = sps.norm(loc=5, scale=3).rvs(size=1000)\n",
        "grid = np.linspace(-5, 30, 1000)\n",
        "\n",
        "c = 2\n",
        "new_sample = c*sample\n",
        "\n",
        "plt.figure(figsize=(14,7))\n",
        "plt.hist(new_sample, density=True, bins=30, alpha=0.6, \n",
        "         label=r'Гистограмма $\\xi_{new} = c \\xi$')\n",
        "plt.plot(grid, sps.norm(c*5, c*3).pdf(grid), color='red', \n",
        "         lw=5, label=r'Плотность $\\mathcal{N}(10, 36)$')\n",
        "plt.title(\n",
        "    r'Распределение $\\xi_{new}=c \\xi\\sim\\mathcal{N}(2\\cdot5, 4\\cdot9)$', \n",
        "    fontsize=20\n",
        ")\n",
        "plt.xlabel('Значение', fontsize=17)\n",
        "plt.ylabel('Плотность', fontsize=17)\n",
        "plt.legend(fontsize=16)\n",
        "plt.grid(ls=':')\n",
        "plt.show()"
      ],
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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1s1JqCMb1z951FkC5tNYHlVL/xJjxrxrGMfizCOP8m5twvq5u+7sfY7KKbIxeq6d8DHVLyDvMuIjuAkYppX7EmOr9PNAEY/hnRYxZ7SbleYzry+iSvpZUcfyfUspVnJ8HLsc4hjSM4aj+zum8EeN5/qpMohTCJqRwEkLk0lr/oZTqjjFkqw/Ge8RWjJPGz5CncHI+5iOl1DaMb5W7YZx/chJjKNr0vO2L6ADGh9zXnbcVgM3AP3xNP6y1nq2U2opxAnd3jA8BFzAKwYUYUy+7uBcx3fA/89z9GBNkzCjCfhpgfBM/FXhDF+KCtYU8luL6R97pxUszLq11jjKuJ/YYxjC6rhgTB5QHtFJqkNZ6odtDWgPv5dmM+3TMrTCK9bY+ducaengG47o29wHbtNZblVLnMAqmO4GpWuuCTBVfYrTWS5RS3TAKqE4Yz+VJjAs+v+PWrrDPV2mLwui964UxzHE1/v/m38CIda9rynM/FmGc6zQUY3ZHd67rEZXDGC7pyxo8L2BdVN9jDFdrgzFLYBRG7qzDuP7SrLwFItASozgpi2G1BbUQY1jefRiTPRzG6PWbqP1cLkIZ08X3A77VWh8qq0CFsAPl/XcvhBDW4BwWcwA/kx2U0D40PibD8NFuBtBQa92tNOIQf1HGRXRXAvO01nc7l0VhFEVdtdbr3NoeAl7WWs9QSt2MMQysmjaufeRr289jFBwNgb87i5bZGDM3PgY01lr7m8XRknw9X2W472cwPpT/BDyvtfY7zb5zWGctrfX6fLY5GngNuLoQQ2dN5ZxY5RTGFOMvmB1PcSilRmD0wl7v/rcmhJBznIQQQliPa/iQe8/cVc7b3JPVlVI1gPpuyzZgDMWbpZRqo5RqopTqpZT6wDlLGBi9Bl0xelNdU3Kfw7io6QK7FU1Ovp6vMqG1nqK1bqu1HhGoaHK23Z1f0eQ0BeNYinINKbNcj3He39tmB1IcSqlIYDSwSIomIbxJ4SSECHWvUrCZo76kZIYAiQCUUsMwLqicjHHOnUsrYE+enqQ2GB9WdwBorZMxZniMxhhqtQXjPJQkt6m+XbPqveM21Oqsa1lpHFNpCvB82ZazABsCbPQ1QYMVaa2/0VpXzHP+nR01xBjK95zJcQhhSTJUTwhhWWUxVE9Yi1JqM8b5Ms9rrbebHY/VyfMlhBBlRwonIYQQQgghhMhHyMyqV7NmTd2wYUOzwxBCCCGEEEJY2KZNm05qrWvlXR4yhVPDhg3ZuHGj2WFYyubNm7n66qvNDkMIvyRHhR1IngqrkxwVVme1HFVKHfS5PFSG6rVr105L4eQpJyeHsDCZH0RYl+SosAPJU2F1kqPC6qyWo0qpTVrrdnmXmxqhUqq3UmqXUmqvUupFH+srKKXmOdf/4jxRHKVUeaXUTKVUnFJqp/OaD6KQ4uPjzQ5BiIAkR4UdSJ4Kq5McFVZnlxw1rXBSSpXDuCr4zcAVwD1KqSvyNHsYSNZax2Jc1+EN5/KBQAWtdUuMK8QPdxVVouAaNWqUfyMhTCQ5KuxA8lRYneSosDq75KiZPU7XAHu11vu11pnAXKBvnjZ9gZnO3xcCPZVSCtBAlFIqHIgEMjEuYCgK4ciRI/k3EsJEkqPCDiRPhdVJjgqrs0uOmlk41QMOud1Pci7z2UZr7cC4SGENjCLqAnAU4+rik7TWp/PuQCn1qFJqo1Jq49GjRzl58iRHjx7l8OHDJCcns2/fPtLS0tixYwc5OTls3rwZgE2bNgHGiWo5OTns2LGDtLQ09u3bR3JyMocPH8a1vYSEBFJSUoiPj8fhcLB161aPbbhu4+LiyMjIYM+ePZw7d47ExEROnDjBiRMnSExM5Ny5c+zZs4eMjAzi4uJ8bmPr1q04HA7i4+NJSUkhISGhWMdUqVKloDumYHydQvmYTp06FXTHFIyvU6gfExB0xxSMr1MoH9OJEyeC7piC8XUK5WMKDw+31DH5Y9rkEEqpAUBvrfUjzvtDgA5a6yfd2mxztkly3t8HdACaAU8ADwAxwFrgZq31fn/7k8khvB0+fJh69fLWqkJYh+SosAPJU2F1kqPC6qyWo/4mhzBzOvLDQAO3+/Wdy3y1SXIOy4sGTgGDgWVa6yzghFJqPdAO8Fs4CW9Wmr1ECF8kR4UdSJ4Gv/T0dP7880/S09NxOBxmh1No2dnZnDsnZzQI6yqLHA0PD6dixYrUqlWLihUrFm0bJRxTYfwGXKaUaoRRIN2NURC5+xq4H/gZGACs1lprpVQi0AOYpZSKAjoC75RZ5EGifPnyZocgRECSo8IOJE+D29mzZzl+/Di1atWibt26hIeHY5xubR9ZWVmSp8LSSjtHtdY4HA5SUlJITEykTp06REdHF3o7pn1N5jxn6UlgObATmK+13q6U+odS6nZns4+BGkqpvcCzgGvK8g+Aykqp7RgF2Cda6z/K9gjsLyUlxewQhAhIclTYgeRpcDt58iT169cnJiaG8uXL265oAuMaOUJYWWnnqFKK8uXLExMTQ/369XPPoS4sM3uc0FovBZbmWfaK2+/pGFOP531ciq/lonBq1qxpdghCBCQ5KuxA8jS4ZWZmEhkZaXYYxRIeburHPSHyVZY5GhkZSUZGRpEeKwOzQ1hSUpLZIQgRkOSosAPJ0+Bnx14md5mZmWaHIERAZZmjxfl7lsIphMXGxpodghABSY4KO5A8FVZX1BPhhSgrdslRKZxC2Pbt280OQYiAJEeFHUieCqtLS0szOwQhArJLjkrhFMJatWpldghCBCQ5KuxA8lRYXaVKlcwOQYiA7JKjUjiFMNfVk4WwKslRYQeSp8LqLly4YHYIQgRklxyVwimEtW3b1uwQhAhIclTYgeSpsLqoqCizQxAiILvkqMxPGcI2bdok//CFpUmOCjsoaJ6OXhxXKvuf2L9lqWxXBI8LFy7Y5oOp8PbCCy/wn//8h4EDB/LJJ5+YHU6psEuOSo9TCJMPpMLqJEeFHUieCqvz9YF0xowZKKUC/owfP77sgw1BWmu/6+bPn8+xY8do1aoVixcvBuCpp57i1ltvzW2TlJTEiBEj6NSpE5UqVUIpRUJCgs/tHTp0iAEDBhAdHU3VqlXp378/iYmJhY55+fLl9OjRg7p161KhQgXq16/PoEGD2LFjh8/2S5cupUuXLlSuXJmqVavSrl07Vq9enbv+o48+omXLlpa/WLMUTiEsLq50vv0UoqRIjgo7kDwVVpeamup33YIFC/j55589ftatW1eG0YW2nJwcevXq5Xf9ihUr+OSTT1iyZAnr1q1j3759TJ061aOo3bt3L/PnzycmJobrr7/e77ZSU1Pp0aMH8fHxzJw5k1mzZrFnzx66d+9e6HOMTp8+Tdu2bXn//fdZsWIFEydOZPv27XTs2JGDBw96tJ02bRp9+/albdu2fPHFFyxYsICBAwd65OWQIUP4888/mTlzZqHiKGsyVC+ENW3a1OwQhAhIclTYgeSpsLpA18hp3bq117XIHA5HaYcknPbu3cuqVav4448/uOqqqzzWnT17lqioKMqVK0e1atWoVq0aI0aMoFWrVrRr1y63XZcuXTh+/DgA06dPZ8WKFT739dFHH7F//3527dqV+5pfddVVXHbZZUybNo1nn322wHHfc8893HPPPR7LrrnmGpo3b87ChQsZNWoUAAkJCTz99NO89dZbPP3007ltb7rpJo/HxsTEMHToUCZNmsSDDz5Y4DjKmvQ4hbCidM0KUZYkR4UdSJ6GIKWs9xNAZmZmCR6672F97pYtW0anTp2IjIwkOjqafv36sWvXrtz148ePDzhEsGHDhh7t8hZyrmGGe/fuLfA+XbZu3codd9xBjRo1iIyMpFmzZkycOLFE4iqKzZs3A/Df//7Xa93SpUvp3bt37v2MjAxmz57N4MGDPdqFhRXs4/zXX39Nx44dPQrlRo0acd111/HVV18VJXwPNWrUACA8/K9+mf/973+EhYXx2GOPBXxsZmYmd999Nzt27OCnn34qdiylRQqnEFanTh2zQxAiIMlRYQeSp8LqypcvX6Lbe/jhh3OH9T388MMe65YtW0afPn2oXLky8+bN48MPP2Tbtm107tyZw4cPA/DII494DA0EGDt2bO79L774olDxFGSfAL/++iudOnVi3759TJkyhSVLlvDss8+SlJRUKnEVxObNm6lduzazZ8/2Gi63atUqevTokXt/w4YNnDlzJuBwvEC2b9/OlVde6bW8RYsWfs9Nyk92djaZmZns2bOH4cOHU7duXY+eqHXr1tG8eXPmzp1LkyZNCA8PJzY2lg8++MBjO+XLl6d169ZUqVKFZcuWFSmWsiBD9ULYmTNnqFq1qtlhCOGX5KiwA8lTYXUOh4Ny5coVezuunquGDRvSsWNHAK8PuWPHjqVx48Z89913uT0PnTp1omnTpkyePJm3336b+vXrU79+fY/HNWnSJHebhVWQfQI899xz1KhRgw0bNuRecNW9MCnpuApi586dvPrqqzz++OPMnj2b4cOHA8ZznZ2dTYUKFXLbbtiwAaWU15C+gjp9+jQxMTFey6tXr05ycnKRttmhQ4fca9nFxsayevVqateunbv+yJEjHDlyhOeff57XXnuNJk2asGDBAp588kkcDgcjR44EjBytUKECrVq1YsOGDUWKpSxIj1MICzTmWQgrkBwVdiB5KqyuoEO58pOWlgb4z/kLFy6wefNm7rrrLo/hWq7hYGvWrCnSfrOzs3E4HLk/7jOvFXSfqamprF+/nnvvvTe3aCouV1xFlZWVRVhYGEOGDCEmJoYpU6bkHtuaNWvo2rWrR/sjR45QtWpVIiIiihV3SZo1axYbNmzgs88+o2rVqvTq1ctjRr+cnBzOnz/PtGnTGDZsGD169ODDDz+kd+/eTJw4MXdGQVeO1qpViyNHjphxKAUihZMQQgghhMjXqVOngL/OZckrOTkZrTUXXXSR17q6dety+vTpIu23YsWKlC9fPvfHfXhgQfeZnJxMTk6OV49ScbjiqlixIldeeSXTp08v1ON/+eUXOnXqRFRUFE8//TS7du1izpw5AHz77bf06dPHo316erpHD1RhxcTE+OxZ8tcTVRCXX345HTp04J577mHVqlWkpKTw+uuv56535UremQNvvPFGjh8/ztGjRz2WR0ZG5hboViSFUwhLT083OwQhApIcFXYgeRqCtLbeTwAldW2cPXv2AMbwNV9iYmJQSnHs2DGvdceOHaN69epF2u+GDRv47bffcn/GjRtX6H3GxMQQFhbmcc5TcbniWrZsGe3atWPYsGGsXLmywI9fvHgxffv2BWDkyJHUqFGDl156ifPnz3PixAlq1arl0b5GjRqcOXOmyPG2aNGC7du3ey3fsWMHV1xxRZG361KtWjViY2M9Ju1o0aJFwMe4eppcOXr69Glq1qxZ7FhKixROIaxatWpmhyBEQJKjwg4kT4XVuQ9hK45vv/2WSpUqeUyF7S4qKoq2bduyYMECsrOzc5cfPHiQn376iW7duhVpv23btqVdu3a5P67Z7Qqzz0qVKtG5c2dmz55dYj0arri6devGu+++C/w1S15+MjIyOHjwIJdffjkA0dHR/POf/yQpKYl+/frRqlUrr8c0b96czMzM3MksCuv2229nw4YN7N+/P3dZQkIC69ev5/bbby/SNt0dP36c+Ph4j8L6jjvuAIwL5rpbtmwZ9evXp27dusBfOXrgwAGaNWtW7FhKixROIcw1578QViU5KuxA8lRYXVZWVrEen5SUxKhRo/jggw944oknAp4jNGHCBPbs2cOtt97KN998w+eff06vXr2Ijo7OvbZPSSvoPidNmsSpU6fo1KkTs2bN4vvvv+fjjz9mxIgRRdrvrl27iI+PZ+PGjYwZMwbAb1EJRs9O8+bN+eOPP3j55Ze57777PNY/+uijtG/fntWrV/ssZLp06QIYswPmtXDhQhYuXJg7UcN3333HwoULPc4rGzZsGA0bNqRv37589dVXfP311/Tt25cGDRrkTkrhkpCQgFLK40K77u644w4mTJjAV199xffff8+0adPo2rUr4eHhHs/5LbfcQvfu3Rk+fDhTp05lxYoVDBs2jBUrVjBhwoTcdllZWZw5c4bdu3fnHqcVyR82yTsAACAASURBVKx6IeySSy4xOwQhApIcDT6jF8eV+DYn9m9Z4tssDMlTYXXFnUxg5cqVLF++nMmTJ+fOguZP7969WbJkCa+++iqDBg0iIiKCbt268eabb3LxxRcXK47i7rN9+/asX7+eV155hREjRpCRkcGll15a5Auuuqb2joqKIjY2lv/9738es/TldebMGXbt2kWrVq145JFHcntjXMLCwpg5cyYDBw70OXSuYcOGXHPNNXzzzTf079/fY93AgQM97j/xxBMAdO3alR9++CE3ztWrV/PMM88wZMgQtNb07NmTd955h8qVK3s83jU1uqtHKK+OHTsyf/58Jk+eTGZmJg0aNKBbt26MHj3ao0dQKcWXX37J6NGjGTduHMnJyTRv3pw5c+Z4XI8qIiKCRYsWERER4fW8WInS+YyLDRbt2rXTGzduNDsMS4mLi6NlS3M/cAgRiORo8AnGwqmgeVoaxw7mH3+w27lzZ+5wKrtKTU0tsZnkRPGsXbuWCxcucNNNN3ldONjl1KlTfifgmDFjBiNHjuTo0aOl+pr+97//ZcyYMRw8eLBMcic1NZU777yTmjVrMmvWrFLfX35/10qpTVprr+5DGaoXwuQDqbA6yVFhB5KnwuqkaLKO66+/nt69e/stmsD/rIUA9913HxdffDH/+c9/SiO8XGvWrOGZZ54ps9zZvXs3q1ev9pj4w4qkcAphrnGwQliV5KiwA8lTYXWuYVfC/sLDw/nkk09KvaCZM2cOL730Uqnuw11CQgIzZswgNja2zPZZFHKOUwhr27at2SEIEZDkqLADyVNhdVFRUWaHIEpQx44d6dixo9lhlKh+/fqZHUKBSI9TCJNvSYXVSY4KO5A8FVYnPU7C6uySo1I4hTD5llRYneSosAPJU2F10uMkrM4uOSqFUwjbunWr2SEIEZDkqLADyVNhdampqWaHIERAdslRKZxCWIsWLcwOQYiAJEeFHUieCquLjIw0OwQhArJLjkrhFML27t1rdghCBCQ5KuxA8lRYXXp6utkhCBGQXXJUCqcQVr9+fbNDECIgyVFhB5KnwuoiIiLMDkGIgOySo1I4hbCTJ0+aHYIQAUmOCjuQPBVW53A4zA5BiIDskqNSOIWwypUrmx2CEAFJjgo7kDwVVhcWJh/3hLXZJUftEaUoFVlZWWaHIERAkqPCDiRPhdVprc0OQYiA7JKj4WYHIMyTk5NjdghCBCQ5KuxA8jR0jV4cZ+r+J/Zvaer+hQg1UjiFsEqVKpkdghABSY6KgiiND6+F+UAqeSqsztcwqBkzZvDggw/6bN+iRQu2bdtW2mGJErR69Wp69uzptfziiy/m8OHDJkRUOEUZqmfGMUvhFMJOnz5NTEyM2WEI4ZfkqLADyVNhdQ6Hg/Bw3x/5FixY4DUzpHwZYD+XX345gwYNYsWKFQwYMIBOnTrRoEED6tata3ZoBRIoR/0x45ilcAphF198sdkhCBGQ5KiwA8lTYXWBpnpu3bo1sbGxZRiNKA2TJk1i69at7Ny50zbFkruiTEduxjHL5BAh7MCBA2aHIERAkqPCDiRPhdVlZGQU6XHjx4+nYcOGHsv27t1LxYoVUUp5td+6dSt33HEHNWrUIDIykmbNmjFx4kTGjx+PUsrvT959LFu2jE6dOhEZGUl0dDT9+vVj165dXrH52la3bt081sfFxdG9e3cqVarERRddxCuvvOJxXuLevXsZMmQIjRo1IjIyksaNG/P444+TnJzsc3+NGzf2Oq9x+PDhKKXo3LlzkdsXNA5/ZsyYwYgRI2xZNIHvHF2wYAFdu3alatWqVK5cmfbt27NkyZLc9WYcs6k9Tkqp3sC/gXLAdK3163nWVwA+BdoCp4C7tNYJSql7gefdml4FXK213lI2kQeH5s2bmx2CEAFJjgo7kDwVVlexYsUS29ZTTz3l85o7v/76K926dSM2NpYpU6ZQv3599uzZwx9//MHo0aPp3bt3bttOnToxduxY+vTpA0CFChVy1y1btow+ffrQo0cP5s2bR0pKCq+88gqdO3dmy5Yt1KtXz2O/69ato1y5crn3q1at6rG+X79+PPTQQ4wePZrly5czYcIEwsLCGD9+PABHjhyhQYMGvPPOO8TExLB//35ee+01brnlFn7++Wev4zx79izLly/n5ptvBuDcuXPMmTOH6tWr+3y+Ctq+sHHkVa1aNaZNm0aDBg24+uqrqVmzZom+7oWhtSY7Ozvfdkqp3Ncub6yjRo3inXfeYfjw4YwaNQqlFCtXruTcuXO5bcw4ZtMKJ6VUOeADoBeQBPymlPpaa73DrdnDQLLWOlYpdTfwBkbxNAeY49xOS+BLKZoKb8uWLVx99dVmhyGEX5Kjwg4kT4XVpaamEhUVVeztfPXVVyxfvpwnnniC999/32Pdc889R40aNdiwYUPuOVI9evTIXZ/3PKomTZrQsWNHr32MHTuWxo0b89133+We89KpUyeaNm3K5MmTefvttz3ad+jQIeC5McOGDePFF18E4MYbb+TcuXNMnjyZp59+mmrVqtGlSxe6dOmS2/7aa68lNjaW66+/nt9//502bdp4bO+BBx7gww8/zC2EZs2aRbNmzahSpYrPgrKg7QsbR15Lly5l8ODB9O3bN3fZ0aNHTemBWrNmDd27d8+3XdeuXfnhhx8AzxydO3cub7/9NgsWLGDAgAG57W+77TaPx5txzGb2OF0D7NVa7wdQSs0F+gLuhVNfYLzz94XA+0oppT0ne78HmFv64QYf+UcvrE5yVNiB5KmwupIomtLS0nj66ad59NFHadu2rce61NRU1q9fz/PPP1+siSUuXLjA5s2beemllzyKoUaNGnHdddexZs2aQm9z0KBBHvfvvvtupk+fzrZt2+jcuTOZmZlMmjSJTz/9lIMHD5Kenp7bdteuXV4Fy/Dhw2nRogWJiYlccsklTJ06laeeeoo5c+b43H9B2xc2DndxcXHcfffdZGZmMnbsWNq0aUPt2rVNG7bXtm1bfvvtt3zbValSJfd39xwdN24ct912m0fRlJdZx2zmOU71gENu95Ocy3y20Vo7gLNAjTxt7gI+97UDpdSjSqmNSqmNR48e5eTJkxw9epTDhw+TnJzMvn37SEtLY8eOHeTk5LB582YANm3aBMDmzZvJyclhx44dpKWlsW/fPpKTkzl8+DCu7SUkJJCSkkJ8fDwOh4OtW7d6bMN1GxcXR0ZGBnv27OHcuXMkJiZy4sQJTpw4QWJiIufOnWPPnj1kZGQQFxfncxtbt27F4XAQHx9PSkoKCQkJxTqmX375JeiOKRhfp1A+ppUrVwbdMQXj61SYY4omlWhSqanOE0kmF6kzhJPNpeokAE3UCY/bRupPwsihnkqmIlnUVueoQhoxXKCGSiGKdOqqs0TgoIE6DWivbRi3mgbqNBE4qKvOEkU6NVQKMVygCmnUVueoSBb1VDJh5BTqmNavX1+g16m0jklyr3SPKSsri+zsbDIyMsjKyiIzM5PMzEwcDgfZ2Q7QmmyHA9A4HMbFkD1vneu1Jjvbgc7JIScn2/mTQ052NlrnuG3D4WMbxqxjudvQxuOysrLIysoiIyOD7Oxs0tPTycnJITU1FTAKESB3eFNqaipaa9LS0nLPu8l7TK5tpKWlobXOvTDpq6++SkpKCi+99FLuspycHNLT0/nzzz/Jycmhbt26HvG4tpE3HpfU1NTcbWRnZ3Ps2DG01tSuXdvrmGrVqsXp06dzt5GZmel1TO6vk2uoWI0aNTyOqXbt2gAcPnyYCxcuMHr0aMaPH8+9997L4sWL2bBhA3PnGt/Hp6SkkJmZSVZWVu7rctFFF3HDDTfwwQcfsHbtWhITExk8eHDu/lzH5Gpfr149evbsyYcffsiqVatITEykf//+uc+f63lxxXHfffexaNEifvnlFz7/3Ph4e/78eb+v06lTp+jTpw+NGjUiLi6OF198kf79+9OmTRuP1zo9PR2Hw5G7jYK8Tq7bvK+T6zn2l3uVK1fmsssuo3Xr1rm3TZs2pVWrVjRr1oyWLVty+eWXc+mll+bGk5KSQnp6Onv37mX37t0MGDDAK44LFy6gtc495saNG/P777/z8ssvc+utt9KhQ4cCH1NmZmbA9wh/lFlX6lVKDQB6a60fcd4fAnTQWj/p1mabs02S8/4+Z5uTzvsdMM6NyveCG+3atdMbN24shSMRQghRUGZfMLSgSuPCoqV17HIR1NK1c+dOLr/8cp/rzM7n4rz2rus47dmzx++seuPHj2fGjBmsWrWKFi1a8P777/PII4/kPtb1GTI1NZUqVarwwgsvMHHixHz3rZTik08+4YEHHvBYfuHCBapUqcKYMWOYMGGCx7pu3bpx/vz53MJ2/PjxvPrqq2RlZfkcqudav2/fPho3bpy7fNWqVdxwww2sXbuWzp07U69ePW6++WamT5+e2+b777+nR48eHjG672/p0qUMHz6czp07U6dOHd5//326deuGw+Fg3bp1RWpf0DjyWrhwIQMHDiQ+Pp5mzZr5fc5feeUVDh8+zNmzZ9m+fTtVqlRh2bJlVK9enfPnzzNmzBg2btxIcnIy1157LdOmTQOMniDXxA033XQTSimWLVtGcnIyV111FTt27PDoOQL44YcfCj1Uz2XdunVcf/31rFy50uc1mgpzzIEE+rsGUEpt0lq3y7vczB6nw0ADt/v1nct8tlFKhQPRGJNEuNyNn94mkT/Xt31CWJXkqLADyVNhdXl7egpr5MiRtGrViocfftjn+kqVKtG5c2dmz55NWlpakfcTFRVF27ZtWbBggcfkAgcPHuSnn37KnTGvMObPn+9xf+7cuVSuXJmWLY2iMzU1lfLly3u0+eSTTwJus0+fPkRERLBw4UIee+yxfGMoSPuixAFw6JAxeCu/ayBt2rSJY8eOMXPmTHbu3EnVqlVzR3Xcc8899OzZk59++okdO3Zw4sQJvvzyS8LDw6lYsSJpaWls2rSJzMzM3Fn+PvzwQ+6//36vogn+GqqX34+rOIO/ctR1eYft27cX+5hLg5nnOP0GXKaUaoRRIN0NDM7T5mvgfuBnYACw2nV+k1IqDBgEXF9mEQeZ1q1bmx2CEAFJjgo7kDwVVlec846SkpI4dOgQv/76q88pyF0mTZpE165d6dSpE6NGjaJ+/frs37+fLVu28N577xV4fxMmTKBPnz7ceuutPPHEE6SkpDBu3Diio6MZNWpUoeP/6KOPyMnJoX379ixfvpzp06czfvx4oqOjAejduzczZ86kZcuWxMbGsnjxYn766aeA2yxXrhxLly7l1KlTXHnllfnGUJD2RYkDjJ648PBwbrvtNp566iliY2O59NJLueyyyzzabdq0idWrV+eeS5SVlUWtWrVYs2YNa9euJSkpiXHjxgHG0E5Xb2L16tU5d+4cEydO5F//+hcPP/wwmZmZfPzxx2zYsMFnTFWqVKFdO6/OmoBcOdqoUSM6d+6cG8tVV13F8ePHWbp0KWPGjKFp06YFPubSYFrhpLV2KKWeBJZjTEf+P631dqXUP4CNWuuvgY+BWUqpvcBpjOLKpQtwyDW5hCi8+Ph4rrjiCrPDEMIvyVFhB5KnocsuwyTT09OJjIws0mOzs7MZPny414QQebVv357169fzyiuvMGLECDIyMrj00kt58MEHC7W/3r17s2TJEl599VUGDRpEREQE3bp148033yzSxaa/+uorRowYwYQJE4iOjmbs2LG8/PLLuevfe+89tNaMGTMGgFtuuYXPP/+ca665JuB2W7RoUag48mtf1DjatGnDihUrmDRpEuPGjePUqVNkZ2fz6KOP5vboJCUlkZ2dnfs+lZOTkzsb6PTp03nooYeYMmWKz+1Xr16dX3/9NXcIn8PhYPbs2dx8883UqlWrUM9BIK4cVUqxaNEixowZw6RJkzh+/Dh16tSha9euNGrUqMDHXFpMO8eprMk5Tt7S0tKK/EYqRFmQHA0+Zp8TUlCF+UBc0DyVc5zsKb9zIewgJyeHsDAzz84oe/mdAxXMnnnmGWbOnMnp06cBo3icNm0aS5cuBWDHjh3069eP3bt3M2/ePP75z3/y008/UaVKFTIzM9m1a1fuUMZevXpx4sQJ3nrrLW688UZiY2OJioriq6++8rpwcXEUN0fzHnN+7HiOkzDZkSNHzA5BiIAkR4UdSJ4Kq3PNQCeC3969e/n111/p1atX7rJNmzZ5DJ3buHFj7v2BAwfSvXt3WrduTevWrbn22mvZuXNnbtvq1atTvnx5brzxRoDc88NKsmiC4uWor2MuLaFVggsP/q5yLYRVSI4KOzA7T0ujJ0t6sYJLqPW4hLJBgwZxxRVXeJxX9o9//MOjzdChQxk6dCgAYWFhvPvuu7z77rs+tzdv3jyP+1u2bCnhiA3FyVFfx1xa5C8phKWmphITE2N2GEL4JTkq7EDyVFid63pBoWT8+PGMHz/e7DDKnF1n+SxOjpblMctQvRAWauOdhf1Ijgo7kDwVQojQIO/2ISzv9QKEsBrJUWEHkqfC6gJNIy6EFdglR6VwCmEpKSlmhyBEQJKjwg4kT4XVheJQPWEvdslRKZxCWM2aNc0OQYiAJEeFHUieBj+7X7pFJocQVleWOVqcv2cpnEJYUlKS2SEIEZDkqLADydPgFhERQVpamtlhFItMRy6srixzNC0tjQoVKhTpsfIVRAiLjY01OwQhApIcFZaRmgoJCXDwICQmwpkzkJ4OGRk01RqqV4foaKhdG5o2hSZNoIj/mIW11KxZk6SkJGrWrEmVKlUIDw+3zfkYLhUrVjQ7BCECKu0c1VrjcDg4f/48J0+epE6dOkXajhROIWz79u20atXK7DCE8EtyVJjm8GH47jvYsAF+/RW2bwc/Y/B9Dt0ICzOKp+uug86doWvXUg1XlJ7o6GgqVKjAn3/+yalTp3A4HGaHVGiZmZlERESYHYYQfpVFjoaHh1OxYkUuueSSIhdqUjiFMPlAKqxOclSUpRpHE2mz5huab1wDB+KLt7GcHNizx/iZMQOAkQ2asK1TL7Z16sXxSy4rfsCizFSsWJEGDRqYHYYQwmRSOIWwTZs20bZtW7PDEMIvyVFR2splZXLV+uW0W/0FjbdvLNV91T20j7qH9nHD/KkkNr2KDTfdRdy1N+KIkCF9onTJe6mwOrvkqLL7TDEF1a5dO71xY+n+UxRCCBHY6MVxZocAQERaKtf830I6f/Mp0adPmBbHhSrVWH/rffx0y2AyKlU2LY68JvZvaXYIQghhGqXUJq11u7zLpccphNmluhehS3JUlLRyWZl0+u5zui+aTqWUs4V7cP360LgxXHIJ1K0LkZFQoQJHEhO5OCrKmDAiIQF27zbOkSqAqPNnuPHz9+n8zaesvW0oP/W5j8zISoU/MCECkPdSYXV2yVHpcRJCCFFmTOtx0porf/4/bp41heonClbUcNVV0KePMblD+/ZQq1bB93f2LPz8M6xdCytXGhNMFORh1Wvz3dBn2Nr5FjBx5jbpcRJChDJ/PU5yHacQFhdnjSEzQvgjOSpKQsyxJB76x3DunfxcvkXTiXqNWDrkGWPa8a1b4bXX4JZbAhZNPvM0Ohp694Z//Qt++QUSE/nmwRc40qh5wP1Hnz7B3e+M5tGXH6BO4p4CHZ8Q+ZH3UmF1dslR6XEKYRkZGUW+AJgQZUFyNPiUZY+Tys7muiWz6fX5B0Rkpvttl6MU2zvewLpbh5DYrBUoVagel4Lm6ejFcaA1Dfb8Qafv5nHV+mWUy/Y/tbUjPJyVdz3B2r4PkFOubEfWS49TcJH3UmF1VstR6XESXhITE80OQYiAJEdFUUX/eZRh4x6iz8zJfoumnLAwNnbvy5R/f8lnz00msXnrIg2PK1SeKsWhpq2YP/I1Jr/3Nb/e0J9sP0VRuMNB7znv8thLQ6mVdKDQcQnhIu+lwurskqNSOIWwol41WYiyIjkqiuLKn1cwctQAGu383W+b3a2v5d3JC1j05ARO1mtUrP0VNU+T69Tni8fH8/a7X7H9mh5+2zXYu42//f1uWv+4pKghihAn76XC6uySozKrXgg7c+YMVatWNTsMIfySHBWFEebIos/MyVy79DO/bZJrXsRXj45hV9suJbbf4ubp6boNmP33d7hsy0/c+vHr1D6S4NWmQnoad/17NI22b+Sbh/6Oo0LRrnovQpO8lwqrs0uOSo9TCKtYUf7xCmuTHBUFVen8GR6a8JjfoilHKdbfMph33vmiRIsmKLk83dP6Wt6bvIA1/R4kJ8z3v+drVi5i+MsPUsXEa08J+5H3UmF1dslRKZyEEELYWp2Du/nbC/fQZNtvPtefqVGHj179mG8fftHy10hyRFRg2ZBnmPqvmZy86FKfberv287f/j6Yi/fvKOPohBAitEnhFMLS0/3PMiWEFUiOivxc9vt6Hn9piN9pxrd16Mm7kxeS0MJrcqQSUxp5eqhpK957ay5bOt/sc3306RMMH/sALTasLPF9i+Aj76XC6uySo1I4hbBq1aqZHYIQAUmOikBa/7iE+yeOoEJ6mte67LByfPvg88x5/m3SqkSXahyllaeZkVHMe/p1Fg9/hazyEV7rIzLSue+tZ+n43dxS2b8IHvJeKqzOLjkqk0OEsOPHj9viRDwRuiRHzVOW11sqiuu+ncWtn7zlc11q5ap89uwk9rXqWCaxlGqeKsVvNw7gWMPLGPLG01Q5c8qrSd/pr1Hxwjl+uHNYkaZTF8FP3kuF1dklR6XHKYRdcsklZocgRECSo8KL1vT67D2/RdOxBk344I3Py6xogrLJ00NNW/HB659x9NKmPtff9Pn73Pzp2xAiF7UXhSPvpcLq7JKjUjiFsN27d5sdghABSY4KD1pz05x36bHoI5+r97dox9R/fcrpug3KNKyyytOztS5i6r9mstPPrIBdvp5Jv2kTUDk5ZRKPsA95LxVWZ5cclcIphLVs2dLsEIQISHJU5HIWTd2++Njn6m0devLJ2A/JiKpSxoGVbZ5mRkYx++/vsLnbbT7Xd/i/hdw+/TXpeRIe5L1UWJ1dclQKpxC2adMms0MQIiDJUQHkWzT9cuNAPhs1CUdEhTIOzFDWeZpTLpyFf5vA+lsG+1zfcfl8bv3kTSmeRC55LxVWZ5cclcIphLVt29bsEIQISHJUAPRcMNVv0fTj7UP58tGx6HLlyjiqv5iRpzosjG8f+jsr73rc5/rrlsyRc55ELnkvFVZnlxyVwimE2aW6F6FLclR0Wvo5N8z70Oe6H2+/n++GjjJ9JjnT8lQpVg16nGX3jvS5usvXM+mxYFoZByWsSN5LhdXZJUelcAphdqnuReiSHA1trdYu4faPJ/pcZxRNz5peNIH5ebqm/8N+e556zfsP7VcsLOOIhNWYnaNC5McuOSqFUwjbunWr2SEIEZDkaOhqunktA9972ee6tbcNtUzRBNbI01UDH+P7/o/4XNfvo39y+a/fl3FEwkqskKNCBGKXHJXCKYS1aNHC7BCECEhyNDRdvH8H904aRblsh9e633rcwdL7zR+e584SeaoUKwaP4Mfbh3qtCsvJ4Z4pL3Bp/O8mBCaswBI5KkQAdslRKZxC2N69e80OQYiAJEdDT9VTxxk68SkiMtK91m2/pgdfPvaypYomsFCeKsV3Q0f5nKq8fGYGQyeOoOaRhLKPS5jOMjkqhB92yVEpnEJY/fr1zQ5BiIAkR0NLRFoqQyeOIPr0Ca91+1q0Z+4zb5BTLtyEyAKzVJ4qxaLHx7O79bVeqyqlnGPoxBFUTDlnQmDCTJbKUSF8sEuOSuEUwk6ePGl2CEIEJDkaOlR2Nnf9+0XqHYj3Wnf0ksuY9eK/TbtOU36slqc54eWZ89zbHIq90mtdrSMHGTz5OcIcWSZEJsxitRwVIi+75KgUTiGscuXKZocgRECSo6Gj9+wpXPHbD17Lz1WrycyX3iejknVzwYp5mhlZiZkvvc+pug281l32xwZu/eQtE6ISZrFijgrhzi45amrhpJTqrZTapZTaq5R60cf6Ckqpec71vyilGrqtu0op9bNSartSKk4pVbEsYw8GWVnyjaOwNsnR0NDmh6/p8vWnXsszIyoya/S7nK11kQlRFZxV8/RCdHVmjn6PdB9FZ6dlc+m4bK4JUQkzWDVHhXCxS46aVjgppcoBHwA3A1cA9yilrsjT7GEgWWsdC0wB3nA+NhyYDTymtW4BdAPs8YxbSE5OjtkhCBGQ5Gjwu2j/Tu6YNsHnuvkjXyPJx3Azq7Fynv5ZvzGfP/smOWHe/+5v/fgNGm37zYSoRFmzco4KAfbJUTN7nK4B9mqt92utM4G5QN88bfoCM52/LwR6KqUUcCPwh9Z6K4DW+pTWOruM4g4alSpVMjsEIQKSHA1ukefPct9bz1A+M8Nr3Xf3Pc32jjeYEFXhWT1Pd7fpzJL7n/NaXi4nm3umvEAVH5NxiOBi9RwVwi45ambhVA845HY/ybnMZxuttQM4C9QAmgJaKbVcKbVZKfWCrx0opR5VSm1USm08evQoJ0+e5OjRoxw+fJjk5GT27dtHWloaO3bsICcnh82bNwOwadMmADZv3kxOTg47duwgLS2Nffv2kZyczOHDh3FtLyEhgZSUFOLj43E4HLkX8HJtw3UbFxdHRkYGe/bs4dy5cyQmJnLixAlOnDhBYmIi586dY8+ePWRkZBAXF+dzG1u3bsXhcBAfH09KSgoJCQnFOqZjx44F3TEF4+sUyse0bdu2oDsmu7xODdRpInBQV50linRqqBRiuEAV0qitzlGRLOqpZMLIoZH6E4Am6oTH7aXqJOFkc5E6QySZ1FTniSaVaFKplXOGwe+8QPUTR8jr9y59OHxHHwAaqT8JI4d6KpmKZFFbnaMKacRwgRoqhSjSqavOEoGDBuo0oL3iMG51oY6pMK/TwYMHC/Q6ueIx45g29LmHnb36eD3XVc6c4sHJTxPhfkvPOQAAIABJREFUSPd4neTvKbiOybXNYDqmYHydQvmYkpKSLHVM/iittd+VpUkpNQDorbV+xHl/CNBBa/2kW5ttzjZJzvv7gA7AA8DfgPZAKrAKGKu1XuVvf+3atdMbN24spaOxp7S0NCIjI80OQwi/JEfNM3pxXKluv9dn79Fj0Udey480bMbU1z4lq4K5r/vE/i0L3LageVraz2l+ymVl8fCrw2i0c7PXunW3DmHJg8/n3i/M8Qvrk/dSYXVWy1Gl1Catdbu8y83scToMuE/3U9+5zGcb53lN0cApjN6pH7XWJ7XWqcBS4OpSjzjIHDhwwOwQhAhIcjQ4Nd+4xmfRlFq5KrOfn2J60VRYdsnT7PLl+XzUW5yrVtNrXedvZ3HlTytMiEqUBbvkqAhddslRMwun34DLlFKNlFIRwN3A13nafA3c7/x9ALBaG11ky4GWSqlKzoKqK7CjjOIOGs2bNzc7BCECkhwNPlVPHWPge2O9lucoxbyRE0mua4+LILqzU56ej6nF58++SXZYOa91Az54hVpJ9vjwIgrHTjkqQpNdctS0wsl5ztKTGEXQTmC+1nq7UuofSqnbnc0+BmoopfYCzwIvOh+bDLyNUXxtATZrrZeU9THY3ZYtW8wOQYiAJEeDS1i2g7unvEillLNe61be/Td2X329CVEVn93yNKFFO5YNedpreYX0VO6e8gLhPibrEPZmtxwVoccuOWraOU5lTc5xEkKIgiuN83Fu+PwDei6c5rU8vm0XPn3xXbSPKbPNUhrn+Jh9jpMHrbn3rWe58hfvU4PX3zKY65bMMSEoIYSwBiue4yRM5ppZRAirkhwNHo3jfqH7ov96LT9bvTYLnpxgqaKpsGyZp0qx8MkJnLzoUq9V1y39DL75xoSgRGmxZY6KkGKXHLXvfypRbG3btjU7BCECkhwNDlFnT3HXO6MJyzPCIScsjLlPv05q1RiTIisZds3TjEqV+ezZN3GEl/de+eCDcDjvfE3CruyaoyJ02CVHpXAKYa758YWwKsnRIKA1d34wjqpnTnqtWjXwMRJaeI2EsB075+nRxpf7PN+JU6dgyBDIlmvLBwM756gIDXbJUSmcQljr1q3NDkGIgCRH7a/9ykVcvulHr+X7rmzP93cOMyGikmf3PF3f5z7ifU3M8f338OabZR+QKHF2z1ER/OySo1I4hbD4+HizQxAiIMlRe6txNJE+M97yWp5SNYZ5Iyeiy3lPiW1Hts9T5/lOvq7vxLhxYJPZroR/ts9REfTskqNSOIWwRo0amR2CEAFJjtpXWLaDge+NoUJ6mte6xU+M53z12iZEVTqCIU8vRFdn/sjXyFHKc0VWljFkL0OmKLezYMhREdzskqNSOIWwI0eOmB2CEAFJjtpXly/+x6W7tnot//WG/uxs392EiEpPsOTpvqs6srbvA94rtm2DV14p83hEyQmWHBXByy45KoVTCKtevbrZIQgRkOSoPV28bwc3zJ/qtfx07XoseeB5EyIqXcGUp/939984dkms94q33oJ168o+IFEigilHRXCyS45K4RTCUlNTzQ5BiIAkR+0nPCOdu/49mnLZDo/lOWFhzB/5GpmRUSZFVnqCKU+zy0cw/6nXoHyeKcq1hvvvh5QUcwITxRJMOSqCk11yVAqnEBZm4wtOitAgOWo/veZ+QO3DB7yWr+n3IAebtzEhotIXbHl6tFFzGD/ee8X+/fB88PUYhoJgy1ERfOySo/aIUpSK8nm/URTCYiRH7aXB7j/o/O0sr+VHGjVn1aAnTIiobARlnr7wAnTs6L186lRYvrzs4xHFEpQ5KoKKXXJUCqcQliJDLoTFSY7aR7msTO78YBxhOTkeyx3h5Zn/1L/Itsk/xaIIyjwND4dPP4XISO91jz4K58+XfUyiyIIyR0VQsUuOSuEUwmrW9HHNDiEsRHLUPnos/C91kvZ5LV951+Mcv+QyEyIqO0Gbp5ddZkwKkVdiIowZU/bxiCIL2hwVQcMuOSqFUwhLSkoyOwQhApIctYeL9u+k6+KPvZYfbnw5a2+/34SIylZQ5+njj0N3H9PHv/8+rF9f9vGIIgnqHBVBwS45KoVTCIuN9THlrBAWIjlqfWGOLAb8ZxzlcrI9lmeXC2fh3/5BTnjwDtFzCeo8DQuDjz7yHrKnNTzyCKSnmxOXKJSgzlERFOySo1I4hbDt27ebHYIQAUmOWl+XLz/h4gPxXsu/v/MRjjVsZkJEZS/o87RJE/jnP72Xx8fDhAllH48otKDPUWF7dslRKZxCWKtWrcwOQYiAJEetrVbSAXoumOa1/NglsfzQf5gJEZkjJPJ05Ei45hrv5W+8AVu2lH08olBCIkeFrdklR6VwCmGbNm0yOwQhApIctTCt6fffCYQ7sjwW54SFsfBvE4J6Fr28QiJPy5WDjz/2vjBudjY89BA4HL4fJywhJHJU2JpdcjTc7ACEedq2bWt2CEIEJDlqXVd//zWNt2/0Wr729vs5HNvChIhK1ujFcYVoHcHCg4Vpb1NXXmnMppf34ri//w7vvgvPPmtKWCJ/8l4qrM4uOSo9TiHMLtW9CF2So9ZU6Vwyt3w62Wv5qTr1WTnocRMiMlcTdcLsEMrO6NFGAZXXK6/AoUNlH48oEHkvFVZnlxyVwimE2aW6F6FLctSabpk5majzZ7yWf/XoWBwVKpoQkbn26dpmh1B2IiKMIXtKeS6/cAGeesqcmES+5L1UWJ1dclQKpxAWFxcCQ0uErUmOWk/juF9p+8PXXsu3XH8Le1pfa0JE5rtUnTQ7hLJ1zTXwxBPey7/8Er72zg1hPnkvFVZnlxyVc5xCWNOmTc0OQYiAJEetpVxWJv3+6z39dFpUFZY88LwJEVnDYR1jdgglLr9zvCp0GMyzc+ZR9Yxn0Zj88GNM+XcdsipW8nrMxP4tSzRGUXDyXiqszi45Kj1OISwxMdHsEIQISHLUWrp98TG1jhz0Wv7dkGdIqVbDhIisoZY6b3YIZS4jqgpLHvQulmNOHqXn/KkmRCQCkfdSYXV2yVEpnEJYnTp1zA5BiIAkR62j5uEDdFs03Wt5QvM2bOzZ34SIrOOM9u5dCQV/XNeb3a28h2d2/mYWdQ7uNiEi4Y+8lwqrs0uOSuEUws6c8T65WwgrkRy1CK25/ePXva7ZlF3u/9m78/CoqvuP4+9vSCDs+74LbiBKCUprW1vXarXFBVu17gpal7rLoiCIguBW61pccasL5Vf3WutaW6WSCEViWCIhAoEQkhBCFpLM+f0xgyZzJ0OWmTn3zv2+nmceyLk3M595+HLunLn3npPK3y67FZPi70NJR6m2HcEOEV6fPIOatLYNmtsE6jjtz3ORQMBSMBVO+1Lldl6pUX8f7XwuPd1/s18pb9EadYfRn/+T/Vd+5mj/ZOIFbBuyv4VE7lJj2tiOYM2O/kP4cNIUR/vQNSsZ//5SC4lUJNqXKrfzSo3qwEkppVSj0qorOeWZux3txX0GRPzArPznk4kXUjhgmKP9Fy/8ifa7diY+kFJKxYkOnHysqqrKdgSlotIate/nf32CbkVbHe1vXjSVmnbtLSRynzSpsx3Bqrq0tvztspmO9o67Sjn+pYctJFLhtC9VbueVGtWBk49169bNdgSlotIatatnQT5HvfaMo33ND37C14f/POF53Gq3aWc7gnUbDjmcL4862dE+4R+v0C9vjYVEqj7tS5XbeaVGdeDkY9u2bbMdQamotEYtMoZTnlrgmBCiNjWNNy6eCiKWgrlPN6mwHcEV3jnvOqrD1m9KCQT49RPzwBhLqRRoX6rczys1qgMnHxsyZIjtCEpFpTVqz8HLP+KgrH852v/16wvYMWCohUTutd10th3BFXb16MP7Z17maB/+9ZeM/dfbFhKpvbQvVW7nlRrVgZOPrV2r62wod9MataSyklOeWuhoLu3Vjw/PuNRCIHcbKCW2I7jGf04+N+JEESc9ex/s8t9CwW6hfalyO6/UqA6cfGzMmDG2IygVldaoJQsX0qNws6P5rQtvpCbdn4u9RrPR9LIdwTXq0tJ485JpjvYuJdth7lwLiRRoX6rczys1qgMnH8vMzLQdQamotEYt2LAB7rrL0bzu0B/y1Q+PtxDI/UZIoe0IrrJu7JF8NeFY54b774ecnMQHUtqXKtfzSo3qwMnHMjIybEdQKiqtUQtuugnCpoWta5PKG5dM1wkhGpFr+tiO4DpvXXgjNW3DZhusrYU//EEnirBA+1Lldl6pUR04+ZhXRvfKv7RGE+zjj+Gvf3U0f3rKuWwfNNxCIG/QM05OpX0G8vFpFzs3vPcevPZa4gP5nPalyu28UqNifPLNz/jx483y5cttx1BKKXeqq4Px42HFigbNZd16ce9Db7CnfUdLwZRXpVZXcd21p9KjcEvDDSNGwOrV0E7Xv1JKuZOIZBpjxoe3Wz3jJCInisgaEVkvIo67SUWknYi8HNq+TESGhdqHiUiliKwIPR5LdPZksHLlStsRlIpKazSBnnnGMWgCePd31+igaR+Gy3bbEVyptl06b114s3NDbi48+GDiA/mY9qXK7bxSo9YGTiLSBngYOAkYBZwtIqPCdrsEKDHGjATuBxbU25ZrjBkbelyekNBJZvTo0bYjKBWV1miClJXBjBmO5k0jRvHlz39lIZC3bDQ9bUdwrewjjmbdoT90bpg7Fwr1EsdE0b5UuZ1XatTmGacjgPXGmG+MMXuAl4CJYftMBBaH/r4EOFZE706OlfXr19uOoFRUWqMJMm9exA+xb150MyZFb4Xdl/6y03YE9xLhrQtvJBBeR2VlMGuWnUw+pH2pcjuv1KjNI+JA4Nt6P28KtUXcxxhTC+wE9n61N1xEvhSRj0Xkp5FeQESmiMhyEVleUFBAUVERBQUFbN68mZKSEnJzc6msrCQ7O5tAIEBWVhbw/Q1qWVlZBAIBsrOzqaysJDc3l5KSEjZv3sze58vLy6O8vJycnBxqa2u/O9W49zn2/rlq1Sqqq6tZt24dZWVl5OfnU1hYSGFhIfn5+ZSVlbFu3Tqqq6tZtWpVxOdYuXIltbW15OTkUF5eTl5eXqveU69evZLuPSXjv5Of31N5eXnSvSe3/Tt99dprwWmiw6z78dEUHHwo/WQnHamip5TTnd10ppI+UkY6NQyUElIIfHep2t5JEvb+OVSKSKWO/lJKe/bQS3bRlQq6UkEv2UV79tBfSkmljqFSFPE5hst2UggwUEpIp4Y+UkZnKunObnpKOR2pop/spC21DJZiwDieI/inYbAU05bamL+nPSY16d5TLP+daocN4MvjTnXUmHn8cfjf/5Lq/5Nb+4idO3cm3XtKxn8nP7+nzp07u+o9Ncba5BAiMgk40Rhzaejn84AJxpir6u3zVWifTaGfc4EJwC6gkzFmh4hkAH8DRhtjyhp7PZ0cwikvL49hw4bZjqFUo7RGE+CMM2Dp0oZt6eksuP9vlPYZYCeTx/SRMgpNF9sxXK3jzmJuvfbXwTNN9R17bHCmPb2YJK60L1Vu57YajdvkECLSSUQWicgmEckTkXtEJK0Jv7oZGFzv50Ghtoj7iEgq0BXYYYypNsbsADDGZAK5wAGtfS9+06lTJ9sRlIpKazTOPvrIOWgCuPFGHTQ1Q6VpyiHP33Z37QEzZzo3vP8+vPFG4gP5jPalyu28UqOxuFRvAXApkA2sA64DHDPkRfAFsL+IDBeRtsBZwOth+7wOXBD6+yTgA2OMEZHeocklEJH9gP2Bb1r9TnympqbGdgSlotIajaO6Orj2Wmd7//4wdWri83hYKgHbEbzh6quDU5GHu+EG2LMn8Xl8RPtS5XZeqdFYDJzOBu4zxpxgjDme4Ex5v9vXL4XuWboKeBf4GnjFGLNaRG4XkV+HdnsS6Cki64Hr+X5AdhTwPxFZQXDSiMuNMcUxeC++EgjowV65m9ZoHD31FESa/vWuu8Aj3/y5RYr4Yz3EVmvXDu65x9m+fj089FDi8/iI9qXK7bxSo6mt+WUR6QR0Az6o1/w+wTNQ+2SMeRt4O6xtVr2/VwFnRvi9vwLO5e1Vs3To0MF2BKWi0hqNk5074ZZbnO2HHw7nnpv4PB5XZVp1KPWXiRPh6KPhww8btt9+O5x3HvTubSdXktO+VLmdV2q0tWec9i77XVWvrapeu3Kx4mI9SafcTWs0TubPh+0RFm394x9Bpx9vts5SbTuCd4gEZ3EMnwxi506dnjyOtC9VbueVGm32EVJEBux9AP1DzT3rtfWKaUIVNwMG6M3fyt20RuPg22/hgQec7WedBUcemfg8SaDYdLQdwVsOOwwujXBhyqJFkJ2d+Dw+oH2pcjuv1GhLvlrcRHBtpW+BvRfIv1Sv7bnYRFPxtmHDBtsRlIpKazQObrsNqqoatqWnw4IFdvIkgb7S6EoYqjFz50Lnzg3bAgGdmCROtC9VbueVGm3Jhdm3A3onbBI46KCDbEdQKiqt0Rj76itYvNjZfs01MGRI4vMkiW9Nd9sRvKdv3+B9dtPCJuF9883g/U9HH20nV5LSvlS5nVdqtNkDJ2PM7DjkUBasWLGCcePG2Y6hVKO0RmNs2rTgt/r19ejh/PCqmmWEbCfX9LEdw3v+8Ad45BHIz2/YfuON8MUXer9dDGlfqtzOKzXaknucZonIIfEIoxLLCwWq/E1rNIY+/hjeesvZfsst0K1b4vMkER00tVD79nDnnc72rCz4y18SnyeJaV+q3M4rNdqSr3NmA4fGOIeyIDMz03YEpaLSGo0RY+Dmm53tQ4fClVcmPk+SGSGFtiN41znnQKQPTDNmOO/FUy2mfalyO6/UqJ4H97GMjAzbEZSKSms0RpYsgf/+19l+xx3BRUlVq+gZp1ZISYG773a25+fDgw8mPk+S0r5UuZ1XarSlAyedHCIJZGVl2Y6gVFRaozFQUxP89j7c2LHBb/tVq+kZp1Y65hg4+WRn+513wo4dic+ThLQvVW7nlRpt6cDpjyLyTZRHbkxTqrgYO3as7QhKRaU1GgOLFsH69c72BQv05vsYyTW9bUfwvoULnfW4c2dw2nLVatqXKrfzSo229KiZA3wc5fFJTNKpuMrJybEdQamotEZbadcumDPH2X7ccXDCCYnPk6QGS4ntCN43alTkRXEfeSTywF81i/alyu28UqMtWccJ4M/GmBdjmkQl3PDhw21HUCoqrdFWuuce2L7d2a6L3cbUNtPFdoTkMGcOvPAC7N79fVtNDUyfDq++ai9XEtC+VLmdV2q0pQMnlQS2bNnCiBEjbMdQqlFao62wdSvce6+z/eyzI89iplqsh+xmq+lqO4brTV+6ap/7HHvK+Rz38qMNG5cs4dH5z5N/4GGO/eefPiZW8ZKa9qXK7bxSo3qBu4/16NHDdgSlotIabYU5cxp+cw+QlhZ53RzVKruMzkwYK5/8+gLKujvvGTtp8b3BafVVi2hfqtzOKzXakoHTRcB/Yh1EJV5FRYXtCEpFpTXaQmvWwOOPO9uvuAI8cjmEl6RLre0ISaMmvQPvnXWFo33YmhWMXva+hUTJQftS5XZeqdGWDJyWAIHGNorIEBHp0PJIKlFSdEYt5XJaoy00YwbU1TVs69IFbr3VTp4kFzBiO0JSyTz6VLYOdl6yc+Jzf6RNTY2FRN6nfalyO6/UaEtS3g+8EWX768A9LYujEiktLc12BKWi0hptgc8+g6VLne1Tp0KvXonP4wO1etV7TJk2bXjn/Osd7b225nPEe0ssJPI+7UuV23mlRlvS2x8H/F+U7UsBnefWA8rLy21HUCoqrdFmMgZuvtnZPmAAXHtt4vP4RHvRsyCxtvYHP2H9mAmO9qOX/Jm2lbsj/IaKRvtS5XZeqdGWDJwGAJuibN8S2ke5XC/99lm5nNZoM735Jnz6qbN9zhzooFdQx0uZaW87QvIR4e0IZ5067yzmp288ayGQt2lfqtzOKzXakoFTMbB/lO0HArtaFkcl0qZN0ca/StmnNdoMtbUwbZqz/eCD4cILEx7HT3qKN74p9ZqC/Q7my6NOdrT/9LXFdCrdYSGRd2lfqtzOKzXakoHT+8BlIuIYPInIgcAU4J+tDabib+TIkbYjKBWV1mgzLF4M2dnO9rvuglRdsi+eCnQNp7h576wrqQ2r33ZVFRy9ZJGlRN6kfalyO6/UaEsGTrcRnFVvhYg8KiJXhh6PAVlAXWgf5XKrV6+2HUGpqLRGm6iiAmbNcrb/5Cfwq18lPo/PDBU9+xEvJX0HsewXv3W0T/jHq/TY+q2FRN6kfalyO6/UaLMHTsaYb4AfA8uAy4AHQ48pwOfAT4wx62MZUsXHYYc5V2FXyk20RpvogQdgyxZn+8KFIDpVdrxtMM4FW1XsfHjGZKrad2zQ1qaulhNefNBSIu/RvlS5nVdqtEVzqBpjvjbGHAP0Bn4YevQ2xhxrjIlwrYhyo8zMTNsRlIpKa7QJioqCl+OFO/10+NGPEp/Hh0ZIoe0ISW131x58cupFjvbD/v13WL7cQiLv0b5UuZ1XarRVi08YY3YYY/4beui1Ch6TkZFhO4JSUWmNNsGdd0JZWcO2Nm1g3jw7eXwo1/SxHSHpfXrKuezq1tO5YerU4DT8KirtS5XbeaVGWzRwEpFuInKXiHwlIrtDj69EZJ6IdIt1SBUfXhndK//SGt2HDRvg4Yed7ZMnw4EHJj6PT+kZp/irSe/AP3/ze+eGDz6A995LfCCP0b5UuZ1XalRMM7+pEZGBwKfAUCA79AA4GBgN5BG8zynCBff2jB8/3izXU/pKqWTyu9/Biy82bOvYEdavh379WvXU05euatXvKxVrKbU1XHft6fQq2Nhww9ixkJkJKa26iEYppb4jIpnGmPHh7S3pZeYDfYFTjDGHGGN+E3qMAU4ObZvfurgqEVat0g9Gyt20RqPIynIOmgBuuKHVgybVPEOlyHYEXwikpvHu7652blixAl56KfGBPET7UuV2XqnRlgycTgQeMMa8Hb7BGPMOwRn2TmptMBV/BxxwgO0ISkWlNRrF1KnOtj594MYbE5/F5zab7rYj+MZXPzyeb/c/xLnhllugujrxgTxC+1Lldl6p0ZYMnDoDm6Ns3xTaR7lcfn6+7QhKRaU12oh//AP+GWGd8VmzoLN2v4nWW3bZjuAfIrxz7nXO9rw8+POfEx7HK7QvVW7nlRptycBpDTBJRBy/KyJtgEmhfZTL9e3b13YEpaLSGo0gEIh8tmnkSJgyJfF5FKWmg+0IvrLhkMNZ84OfODfMneucYVIB2pcq9/NKjbZk4PQn4CjgfRGZKCIHhR6nAv8Efgo8EMuQKj5KS0ttR1AqKq3RCF58MXhPR7h58yAtLfF5FB1FLxFLtL+few2B8MWdi4rgnnvsBHI57UuV23mlRps9cDLGPAXMILjo7VJgdeixNNQ2wxjzdCxDqvhIT0+3HUGpqLRGw1RVwa23OtuPOAImTUp8HgVAjWljO4LvbB12ICuOOtm54d57YevWxAdyOe1Lldt5pUZbNHenMeYuYBBwDsFB1AzgbGCgMWZB7OIppZT6ziOPwMaNzvaFCyH823elktx7Z10Jbds2bKyogNtvtxNIKZX0WrzogTFmhzHmZWPMgtDjZWNMcSzDqfiqqqqyHUGpqLRG6ykthTvvdLaffDL87GeJz6O+kyZ1tiP4UmmfgXDllc4NixbB2rWJD+Ri2pcqt/NKjaY29xdEZEBT9nPbArjKqVu3brYjKBWV1mg9d90FxWHfTaWkwF136WK1lu027WxH8K8ZM+DJJxtOClFXF7yk9ZVX7OVyGe1Lldt5pUZbcsZpE/BtEx7K5bZt22Y7glJRaY2GfPstPBBhzp0LLoBDIqxpoxKqm1TYjuBfvXrBtGnO9ldfhf/+N/F5XEr7UuV2XqnRZp9xAm4HTOjvHYEbgeeAb2IVSiXGkCFDbEdQKiqt0ZDbbgtODFFferrey+ES242unWXVNdfAgw9CQUHD9qlT4YMP9P4/tC9V7ueVGm3JrHqzjTFzjDFzgL0TQSze21Zv2z6JyIkiskZE1ouI4ysjEWknIi+Hti8TkWFh24eISLmI3Njc96FgrV4DrlxOaxT46itYvNjZfs01MGhQ4vMoh4FSYjuCv3XoAHMifOz46CP4+98THseNtC9VbueVGm3x5BCtFVos92HgJGAUcLaIjArb7RKgxBgzErif7wdqe90HvBPvrMlqzJgxtiMoFZXWKMHLkAKBhm09ekS+PElZsdH0sh1BXXQRHHigs33q1OA9Tz6nfalyO6/UqLWBE3AEsN4Y840xZg/wEjAxbJ+JwN6vWpcAx4oEz7mHFtzdQHANKdUCmZmZtiMoFZXva/Tjj+Gtt5ztt9wCHrmR1g9GSKHtCCo1FebPd7avWgUvvJD4PC7j+75UuZ5XatTmwGkgDSeR2BRqi7iPMaYW2An0FJFOwFQg6iWBIjJFRJaLyPKCggKKioooKChg8+bNlJSUkJubS2VlJdnZ2QQCAbKysoDv//GysrIIBAJkZ2dTWVlJbm4uJSUlbN68mb3Pl5eXR3l5OTk5OdTW1rJy5coGz7H3z1WrVlFdXc26desoKysjPz+fwsJCCgsLyc/Pp6ysjHXr1lFdXc2qVasiPsfKlSupra0lJyeH8vJy8vLyWvWeRo0alXTvKRn/nfz8nlJTU5PuPTX532njRmquu45wZsgQvgpNP773d/d+cB8u20khwEApIZ0a+kgZnamkO7vpKeV0pIp+spO21DJYigHz3e82/NMwWIppSy39ZCcdqaKnlNOd3XSmkj5SRjo1DJQSUggwXLZHeA4YKkWkUkd/KaU9e+glu+hKBV2poJfsoj176C+lpFLHUCmK+BxeeE9FplPSvSev/Ds1+P906qmUR/jWOnDrreSvXZt8fUQz+r29kuk9JeO/k5/f03777eeq99QYMcY0ujHiL4gsqvdjO+BcgpfL1Z9+3BhjLtvH80wCTjTGXBqmPERdAAAgAElEQVT6+TxggjHmqnr7fBXaZ1Po51xgAjAN+K8x5hURmQ2UG2PuifZ648ePN8uXL2/iu/SHzMxMMjIybMdQqlG+rtFXX4Xf/MbZ/txzcO65DZp0OnK7RkghuaaP7Ri+NP/0sIHSJ59EXtfs3nvh+usTE8qFfN2XKk9wW42KSKYxZryjvQUDp8C+98IYY9rs43l+BMw2xvwi9PP00C/Or7fPu6F9PhORVGAr0Bv4BBgc2q0bEABmGWMeauz1dOCklPKMmhoYNQrWr2/YPnYsZGYG12+qRwdOyq8cAyeAX/0K3nyzYVuPHpCbq5e4KqWapLGBU0tm1UtpwiPqoCnkC2B/ERkuIm2Bs4DXw/Z5Hbgg9PdJwAcm6KfGmGHGmGHAH4F50QZNKrK9py+Vcivf1uiiRc5BE8CCBY5Bk7Jv7yVwyiXmz3f+PykuDv7/8Snf9qXKM7xSo9aOwKF7lq4C3gW+Bl4xxqwWkdtF5Neh3Z4keE/TeuB6gpfoqRgZPXq07QhKReXLGt21K/LUyscdByeckPg8ap82mp62I6j6DjkkuDh0uD/+ETZtSnweF/BlX6o8xSs12uyBk4jUicg5sXhxY8zbxpgDjDEjjDF3htpmGWNeD/29yhhzpjFmpDHmCGOMY5Hd0LpSUe9vUpGtj/SNtlIu4ssavece2B7hDIaPvy13u/6y03YEFW7OnOAi0fVVVQUXk/YhX/alylO8UqMtOeOkS3AniUG6eKZyOd/V6NatwZvYw519Nowbl/g8qkl2mE62I6hwgwfDH/7gbH/mGVjtv1VMfNeXKs/xSo3qxfI+VlRUZDuCUlH5rkbnzIHduxu2paXBnXfayaOapItU2o6gIpk2Dbp3b9gWCMD06XbyWOS7vlR5jldqNLWFv/fT0Cx3jTLGPNvC51YJ0qmTfkuq3M1XNbpmDTz+uLP9iitg+PDE51FNVmnSbEdQkXTvDjNmwE03NWx/4w3417/gpz+1k8sCX/WlypO8UqMtHThNAaKt02QAHTi5XE1Nje0ISkXlqxqdMQPq6hq2dekCt95qJ49qslSaskqHsuKqq+DBByF8Qcubb4b//AfEH3cf+KovVZ7klRpt6aV61wHDozz2i0k6FVeBgB7slbv5pkY/+wyWLnW2T50KvXolPo9qlhRp3nqIKoHS02HuXGf755/D//1f4vNY4pu+VHmWV2q0pQOnImPMxmiPmKZUcdGhQwfbEZSKyhc1akzw2+9wAwbAtdcmPo9qtirT0os3VEL87ncwJsJCudOnQ21t4vNY4Iu+VHmaV2pUe3sfKy4upnv4jbNKuUgy1uj0pasa/HzwFx9y/qefOvb768TJLP97bqJiqVboLNXsNun73lHZ0aZNcDr/X/6yYfvatfDkk3BZtDsPkkMy9qUquXilRltyxmkjUB7rICrxBgwYYDuCUlEle42m1NXyi+f/5GjfNmg/so6eaCGRaoli09F2BLUvJ54IP/+5s332bOdMlkko2ftS5X1eqdFmD5yMMcP3LlCrvG3Dhg22IygVVbLX6LgPX6PvJudZpXfPvYZAG70gwCv6SpntCGpfRGDhQmf71q1w//2Jz5Ngyd6XKu/zSo22eB0nETlRRB4SkbdCj4dE5IRYhlPxddBBB9mOoFRUyVyjaVUVHP/SI472DQf/gK/H/zzxgVSLfWvcf3mJAg4/HM4809m+cCFs3574PAmUzH2pSg5eqdFmD5xEpK2IvAa8BVwBHB56XAG8IyJ/E5G2sY2p4mHFihW2IygVVTLX6E/efJ4uJc4Pa++cf71vpkhOFiMkuT90J5V58yA17Gzurl1wxx128iRIMvelKjl4pUZbcsbpNuBXwL1AH2NMH2NMH6A3cA/wa2Bm7CKqeBk3bpztCEpFlaw12nHnDo7629OO9lU/Op5vDzjMQiLVGrmmj+0IqqlGjow8GcSjj8I33yQ+T4Ika1+qkodXarQlA6dzgOeNMTcbY4r2NhpjdhhjpgLPA+fGKqCKn8zMTNsRlIoqWWv0mFcXkV7Z8Ib0ujapvHvOHywlUq0xQgptR1DNMXMmdOrUsK2mJqkXm07WvlQlD6/UaEsGTgOA/0TZ/hnQv2VxVCJlZGTYjqBUVMlYoz23bGTCP151tC874Ux2DBhqIZFqLT3j5DF9+8KNNzrb//IX8MiHt+ZKxr5UJRev1GhLBk5bgB9G2T4BKGhZHJVIWVlZtiMoFVUy1ugvXvwTbeoaLrpZ1b4jH5w5xVIi1Vp6xsmDrr8e+kQY8E6dGlyUOskkY1+qkotXarQlA6e/AOeJyB0i8t1UQiLSXUTmAucBL8YqoIqfsWPH2o6gVFRJV6Off86Yz95zNH9y6kXs7trTQiAVC7mmt+0Iqrk6d4bbbnO2v/8+vOf8P+p1SdeXqqTjlRptycBpDvAuMAMoEpGtIrIVKAJuCW27PXYRVbzk5OTYjqBUVElVo8bATTc5msu69+bTU/S2UC8bLCW2I6iWmDw5OFlEuKlTIRBIfJ44Sqq+VCUlr9RoSxbArTbG/JLg7HmLgC9Dj0XAKcaYXxpjqmMbU8XD8OHDbUdQKqqkqtHXX4dPP3U0v3fWFdSkd7AQSMXKNtPFdgTVEmlpwenJw61YEbzfKYkkVV+qkpJXarTFC+AaY940xvzeGHNS6PF7Y8zbsQyn4mvLli22IygVVdLUaG1t8FvsMNsGjSDr6IkWAqlY6iG7972TcqdJk+CII5ztt94K1cnzHXDS9KUqaXmlRls8cFLe16NHD9sRlIoqaWr0ySdhzRpH89/Pu5ZAm9QIv6C8ZJdpZzuCaikRWLDA2Z6XB488kvA48ZI0falKWl6p0WYPnESkrgmP2n0/k7KtoqLCdgSlokqKGi0vj3gT+jejx5OTcZSFQCrW0vWQ520//zn88pfO9jvugNLShMeJh6ToS1VS80qNtuSrTgH+D/hfjLOoBEtJ0ROOyt2SokbvvRe2bXM0v3PedcFvu5XnBYz+O9oyfemqmDxPv2Mv5up33iGl/lTkxcXBe6AWLozJa9iUFH2pSmpeqdGWXiPyV2OMTjnucWlpabYjKBWV52t061a4+25H88ofn8im/cdYCKTioVaveve8rcMO4Muf/YqMj15vuOGBB+CKK2DYMCu5YsXzfalKel6pUe3tfay8vNx2BKWi8nyNzpkDuxtOHFCbmso/zrnaUiAVD+2lxnYEFQPvnX0VNW3D7lfbswemT7cTKIY835eqpOeVGm3pwOkgEfmJiBwuIgfXXwhXeUevXr1sR1AqKk/XaE4OPP64o3nZL35Lcb/BFgKpeCkz7W1HUDGws1c/Pj3lPOeGl16CZcsSHyiGPN2XKl/wSo22dOB0K/Ax8DnwFd8vhPuCiBwSs3QqrjZt2mQ7glJRebpGp02DurqGbV268MGkKXbyqLjpKd74plTt20enXwJ9+jg3XH99cBFrj/J0X6p8wSs12pKB09GhxwnAKcC5wE3AW8CxwDIRGRuzhCpuRkZaMV0pF/FsjX70Ebz2mrN9+nQquugJ+mRTYLrajqBiZE/7jsFLbMP95z+wdGniA8WIZ/tS5RteqdFmD5yMMR+HHu8bY94xxvzFGHOfMeYS4CDgW2B2rIOq2Fu9erXtCEpF5ckaDQSC306HGzgQrrkm8XlU3A2VHbYjqFi69FIYNcrZPnVq8J4nD/JkX6p8xSs1GtPJIYwxpcA8oGMsn1fFx2GHHWY7glJRebJGn3sOvvzS2T5/PrTXe2GS0QbT23YEFUupqRFnwyQ3Fx5+OPF5YsCTfanyFa/UaMxn1TPGPGuMOT7Wz6tiLzMz03YEpaLyXI3u3g0zZjjbMzLgd79LfB6VECOk0HYEFWsnnQTHHedsnzs3uL6Tx3iuL1W+45UabdLASUT2NPNRHe/gqvUyMjJsR1AqKs/V6D33wJYtzvZ77wWPLO6nmi/XRJhMQHmbSPD/c/gi1SUlcMcddjK1guf6UuU7XqnRph7JU4HPgBea+NDFcT3AK6N75V+eqtEtW2DhQmf7aafBz36W+DwqYfSMU5I67DC48EJn+0MPwfr1CY/TGp7qS5UveaVGxTRhek0RCQDnGmM8OyAaP368Wb58ue0YSqlkdfHF8PTTDdvS0mD1ath//++api9dleBgSqnmmH/6mO9/2LIl+P+3oqLhTmecAUuWJDaYUiphRCTTGDM+vF2vHfGxVav0A5xyN8/U6JdfwjPPONuvvLLBoEklp6FSZDuCipcBA+Cmm5ztf/0rfPpp4vO0kGf6UuVbXqlRHTj52AEHHGA7glJReaJGjYEbbnAujtm9O8ycaSeTSqjNRtfmSmo33gj9+jnbI/2/dylP9KXK17xSozpw8rH8/HzbEZSKyhM1+uab8OGHzvbbboMePRKfRyVcb9llO4KKp06dIk8I8d//wssvJz5PC3iiL1W+5pUa1YGTj/Xt29d2BKWicn2N1tQEv40Ot//+8PvfJz6PsqLUdLAdQcXbhRfCoYc626dNg6qqhMdpLtf3pcr3vFKjzRk47S8iRzb1EbfEKmZKS0ttR1AqKtfX6GOPwdq1zvaFC6Ft28TnUVZ01BU4kl+bNsHpycNt3Aj33Zf4PM3k+r5U+Z5XarQ5A6dZwL+a8Pg09Oc+iciJIrJGRNaLyLQI29uJyMuh7ctEZFio/QgRWRF6rBSR05rxPlRIenq67QhKReXqGi0pgdmzne0/+xlMnJjwOMqeGtPGdgSVCMcfDyee6GyfNy/y+m0u4uq+VCm8U6OpTdzvoli/sIi0AR4Gjgc2AV+IyOvGmOx6u10ClBhjRorIWcAC4LfAV8B4Y0ytiPQHVorIG8aY2ljnVEqpiObMgeLihm0iwW+fwxfNVEolh3vvhffeg7q679t274bp02HxYnu5lFIJ0aSBkzEmHr3BEcB6Y8w3ACLyEjARqD9wmgjMDv19CfCQiIgxpv6CCumAN6a1cZkqD1yXrfzNtTWanR1cBDPceefBuHGJz6OsSpM6PQr5xahRcMUV8OCDDduffTbYPmGCnVz74Nq+VKkQr9SozckhBgLf1vt5U6gt4j6hs0k7gZ4AIjJBRFYDq4DLI51tEpEpIrJcRJYXFBRQVFREQUEBmzdvpqSkhNzcXCorK8nOziYQCJCVlQV8v3pxVlYWgUCA7OxsKisryc3NpaSkhM2bN7P3+fLy8igvLycnJ4fa2lpWrlzZ4Dn2/rlq1Sqqq6tZt24dZWVl5OfnU1hYSGFhIfn5+ZSVlbFu3Tqqq6u/m8s+/DlWrlxJbW0tOTk5lJeXk5eX16r3lJ6ennTvKRn/nfz8nrZt2+a+92QMOy+5pOE3zoDp0IG8yZP3+Z6Gy3YARkhhgz+HShGp1NFfSmnPHnrJLrpSQVcq6CW7aM8e+kspqdR9t25Q+HMMl+2kEGCglJBODX2kjM5U0p3d9JRyOlJFP9lJW2oZLMWAcTxH8E/DYCmmLbX0k510pIqeUk53dtOZSvpIGenUMFBKSCHg+/ckxiTde0rGf6emvqd99RFbL7+cQLduhDPXXEPW8uUNnsMtffmW0KWEenzS9+TW95SSkuKq99QYMZbWIBCRScCJxphLQz+fB0wwxlxVb5+vQvtsCv2cG9qnqN4+BwOLgaOMMY0OV8ePH2+Whzo0FbRu3Tr218U5lYu5skbfeAN+/Wtn+9y5cOut+/z16Uu9scifarr+UkqBcX6QVt40//Qx+97pkUeCC1yHe+45OPfc2IdqJVf2pUrV47YaFZFMY8z48HabZ5w2A4Pr/Two1BZxHxFJBboCO+rvYIz5GigHDolb0iQ1ZMgQ2xGUisp1NVpdDddd52wfNiy4GKbype2ms+0IKtGmTIFDInzsmDoVyssTn2cfXNeXKhXGKzXa1Mkh4uELglOcDyc4QDoLOCdsn9eBC4DPgEnAB8YYE/qdb0OTQwwFDgLyEpY8Saxdu5YxY5rwzZpSltiu0fCzQ0f97SlOys117Pf8mX9g9TvrExVLucxAKWGj6WU7hkqk1FT44x/huOMatm/ZAgsWBM9Au4jtvlSpffFKjVo74xS6J+kq4F3ga+AVY8xqEbldRPZeB/Mk0FNE1gPXA3unLP8JwZn0VgD/B1xR//I91TReKFDlb26q0c4l2znm1UWO9txDDmf1hGMtJFJuoYMmnzr2WDj1VGf73XdDXl7C40Tjpr5UqUi8UqM2L9XDGPO2MeYAY8wIY8ydobZZxpjXQ3+vMsacaYwZaYw5Yu8MfMaY54wxo40xY40x44wxf7P5Prxq7w1ySrmVm2r0F88/QLuqigZtgZQU3rh4qk4/7nN7JxVQPnTPPc7Frqur4aab7ORphJv6UqUi8UqNWh04KbsyMjJsR1AqKrfU6KB1q8j46HVH+7ITfsO2oQdYSKTcJNf0sR1B2TJiROT7HpcsgY8/TnyeRrilL1WqMV6pUR04+ZhXRvfKv9xQoxII8Ksn73K0V3Tqwj/PusJCIuU2esbJ5265Bfr1c7Zfc41j2QJb3NCXKhWNV2pUB04+5pXRvfIvN9To2E/eYsg65xTi7511FRWddQpqpWecfK9zZ5g3z9m+ciUsct4XaYMb+lKlovFKjerAycf2LgqmlFvZrtG2lbs58fk/Otq3DhnJf0+YZCGRcqO9i7AqH7vgAoj0we+WW2C7/fqw3ZcqtS9eqVEdOPnY6NGjbUdQKirbNXrMkkV0KXF+6Hnj4qkE2thczUG5yUbT03YEZVtKCvzpT872khKYPj3xecLY7kuV2hev1KgOnHxs/Xpdd0a5m9Ua/fprfvLGc47mryYcyzdjJlgIpNyqv+y0HUG5wZFHBs88hXvySVi2LPF56tHjvXI7r9SoDpx8bNCgQbYjKBWVtRo1Bq68kjZ1tQ2aa9La8vYFN9jJpFxrh+lkO4JyiwULoGtXZ/uVV1qdKEKP98rtvFKjOnDysaIiXTNYuZu1Gn35ZfjwQ0fzx6dfQklfb3TuKnG6SKXtCMot+vaFuXOd7ZmZ8MQTic8Tosd75XZeqVEdOPlYp076LalyNys1umsXXH+9o3lH30F8fOrFic+jXK/SpNmOoNzk97+HQw91ts+YATt2JD4PerxX7ueVGtWBk4/V1NTYjqBUVFZqdPZsKChwNL9xyTRq27ZLfB7leqkEbEdQbpKaCg8/7GwvLg4OnizQ471yO6/UqA6cfCwQ0IO9creE1+hXX8EDDziaVx9+NGsyjkpsFuUZKWJsR1Bu85OfwHnnOdsffxy++CLhcfR4r9zOKzWqAycf69Chg+0ISkWV0BoNTQgRfgP3nrbpvHnxzYnLoTynyujU9CqChQuhS5eGbXv7mQR/SNTjvXI7r9SoDpx8rLi42HYEpaJKaI2+8AJ88omj+cMzLqW0z8DE5VCe01mqbUdQbtSvH8yZ42z/4ouETxShx3vldl6pUR04+diAAQNsR1AqqoTVaGkp3Hijo7mo/1D+NfHCxGRQnlVsOtqOoNzqqqtgzBhn+7RpUFiYsBh6vFdu55Ua1YGTj23YsMF2BKWiSliN3nYbbNvmaH79kmnUpbVNTAblWX2lzHYE5VapqfDQQ872khK4IXFrwunxXrmdV2pUjPHHTa3jx483y5cvtx3DVQKBACkpOnZW7pWQGs3MhCOOcN5zcMYZTD/ntvi+tkoSBhDbIZSLnfmnGYz7+E3nhvfeg+OOi/vr6/FeuZ3balREMo0x48Pb3ZNQJdyKFStsR1AqqrjXaG0tTJ7sHDR16AD33x/f11ZJY4Rstx1BudzbF9wA3bs7N/z+91BVFffX1+O9cjuv1KgOnHxs3LhxtiMoFVXca/RPf4Ivv3S2z5oFgwfH97VV0sg1fWxHUC63u2tPuPtu54b162HevLi/vh7vldt5pUZ14ORjmZmZtiMoFVVca3TjRpg509l+6KFw/fXxe12VdEZI4m7yVx520UXw05862++6C77+Oq4vrcd75XZeqVEdOPlYRkaG7QhKRRW3Gt27lkpFRcN2EVi0CNLS4vO6KinpGSfVJCkp8Nhjzv6lpgYuvzzYL8WJHu+V23mlRnXg5GNZWVm2IygVVdxqdMkSeOstZ/sVV8CECfF5TZW09IyTarJRo+DmCAtqf/IJPPNM3F5Wj/fK7bxSozqrno+5bQYTpcLFpUZ37oSDDoKtWxu2DxgQvFymS5fvmqYvXRXb11ZJSmfVU/s2//TQek6VlcG1nXJzG+7Qowfk5EDv3jF/bT3eK7dzW43qrHrKIScnx3YEpaKKS41On+4cNAE8+GCDQZNSTTVYSmxHUF7Svj08+qizvbgYbropLi+px3vldl6pUR04+djw4cNtR1AqqpjX6GefBe8xCPerX8Fpp8X2tZRvbDM64FbNdPzxcM45zvbFi+Gf/4z5y+nxXrmdV2pUB04+tmXLFtsRlIoqpjVaXR1csyn88uSOHeGhh4ITQyjVAj1kt+0Iyovuuw+6dXO2T54M5eUxfSk93iu380qN6sDJx3r06GE7glJRxbRG582D1aud7XfcAUOGxO51lO/sMu1sR1Be1LcvLFzobM/LgxkzYvpSerxXbueVGtWBk49VhE/FrJTLxKxGV66MvMhkRgZcfXVsXkP5VrrU2o6gvOqSS+BnP3O2P/QQ/PvfMXsZPd4rt/NKjerAycfcNHuJUpHEpEZraoILT9aGfbhNTYUnnoA2bVr/GsrXAkYv81QtlJIS7Ifat2/YbkxwUFVVFaOX0eO9cjev1Kg3Uqq4SNNFPpXLxaRG774bvvzS2T59Oowd2/rnV75Xq4dS1RojRwYvGQ63Zg3MmROTl9DjvXI7r9So9vY+Vh7jm0+VirVW12h2duQPHqNHwy23tO65lQppLzW2Iyivu+aayItv3303ZGa2+un1eK/czis1qgMnH+vVq5ftCEpF1aoarauDiy+GPXsatqekwNNPQzu9oV/FRplpv++dlIqmTRt48kkI/9a9sX6smfR4r9zOKzWqAycf27Rpk+0ISkXVqhp94AFYtszZfuONcPjhLX9epcL0FG98U6pcbvRomDnT2f6//8GCBa16aj3eK7fzSo3qwMnHRo4caTuCUlG1uEbXrYt8Kd4BB8Ds2a3KpFS4AtPVdgSVLKZNg0MPdbbPnRucHbSF9Hiv3M4rNaoDJx9bHWlNG6VcpEU1WlcXeTYqEXjqKefsVUq10lDZYTuCShZpacF+Kny2z5oaOP/84ELeLaDHe+V2XqlRHTj52GGHHWY7glJRtahG778f/vUvZ/vVV8OPf9z6UEqF2WB6246gkklGBtx0k7P9f/9r8Sx7erxXbueVGtWBk49lxmCmHqXiqdk1+tVXkS/RGz488gK4SsXACCm0HUElm9tuC97zFG7BAvjss2Y/nR7vldt5pUZ14ORjGRkZtiMoFVWzanTPHjjvPOfsU3sv0evYMbbhlArJNX1sR1DJJj0dnnsuuFB3fYFA8JK93bub9XR6vFdu55Ua1YGTj3lldK/8q1k1OmcOrFjhbL/uOvj5z2OWSalwesZJxcUPfhA88xRu/XqYOrVZT6XHe+V2XqlRqwMnETlRRNaIyHoRmRZhezsReTm0fZmIDAu1Hy8imSKyKvTnMYnOngy8MrpX/tXkGv3sM7jrLmf7qFFw552xDaVUGD3jpOJm2jQ44ghn+8MPw3vvNflp9Hiv3M4rNWpt4CQibYCHgZOAUcDZIjIqbLdLgBJjzEjgfmDvQgZFwK+MMWOAC4DnEpM6uaxatcp2BKWialKN7t4dvHQlEGjYnpoKzz4bvORFqTgaKkW2I6hktbcfizQb6EUXQUlJk55Gj/fK7bxSozbPOB0BrDfGfGOM2QO8BEwM22cisDj09yXAsSIixpgvjTFbQu2rgfYi0i4hqZPIAQccYDuCUlE1qUZvvjl46Uq4WbOCs1MpFWebTXfbEVQyO/DAyAvgbt4Mf/hDk55Cj/fK7bxSozYHTgOBb+v9vCnUFnEfY0wtsBPoGbbPGUCWMcaxuIGITBGR5SKyvKCggKKiIgoKCti8eTMlJSXk5uZSWVlJdnY2gUCArKws4PvrLLOysggEAmRnZ1NZWUlubi4lJSVs3ryZvc+Xl5dHeXk5OTk51NbWsjK0QN3e59j756pVq6iurmbdunWUlZWRn59PYWEhhYWF5OfnU1ZWxrp166iurv5u1B3+HCtXrqS2tpacnBzKy8vJy8tr1XvKzc1NuveUjP9Ofn5Py5Yti/qeNi9aBI88Ev5fn7qMDNZNmtTq99RPdtKWWgZLMWC+u5el4Z+GwVJMW2rpJzvpSBU9pZzu7KYzlfSRMtKpYaCUkEKA4bI9wnMEz1qkUkd/KaU9e+glu+hKBV2poJfsoj176C+lpFL33RmO8OcYLttJIcBAKSGdGvpIGZ2ppDu76SnldKRK31Mc3tNgKU6695SM/06231Or+vIrr6Q80iV7zz/Pzsce22df/lloJj49Pul7cut7WrNmjaveU2PEGNPoxngSkUnAicaYS0M/nwdMMMZcVW+fr0L7bAr9nBvapyj082jgdeAEY0xutNcbP368Wb58eXzejEeVlZXRpUsX2zGUalTUGi0ogEMPhaKwy6Tat4cvvwx+S9tK05d649IBZVd79lBJW9sxlMvNP31M654gPx/GjIGysobtXboEJ8YZPrzRX9XjvXI7t9WoiGQaY8aHt9s847QZGFzv50Ghtoj7iEgq0BXYEfp5EPB/wPn7GjSpyEpLS21HUCqqRmt075S84YMmCF7SEoNBk1JN1VEcFzwoFXtDhsCDDzrby8rgnHOgtrbRX9XjvXI7r9SozYHTF8D+IjJcRNoCZxE8e1Tf6wQnfwCYBHxgjDEi0g14C5hmjPl3whInmXS9aV65XKM1eu+98M9/OttPOgmuusrZrlQc1Zg2tiMovzjvPPjtb53tn38eXJKhEXq8V27nlRq1NnAK3bN0FfAu8DXwijFmtYjcLiK/Du32JNBTRHNQyywAACAASURBVNYD1wN7pyy/ChgJzBKRFaGHzgerlB8sXw4zZjjb+/aFZ54JLnirlFLJSAQeewyGDnVuu/NO+PjjxGdSykdS971L/Bhj3gbeDmubVe/vVcCZEX7vDuCOuAdMclVVVbYjKBWVo0Z37YKzz458Scqzz0If/f5EJV6a1IGd24WVH3XrBi++CD/9acNlGIyBc8+FlSuhR48Gv6LHe+V2XqlRqwvgKru6detmO4JSUTlq9OqrI089fsMNcMIJiQmlVJjdRlfDUAl25JFw223O9k2bYPLk4CCqHj3eK7fzSo3qwMnHtm3bZjuCUlE1qNHnn4fFi507jRsH8+YlLpRSYbpJhe0Iyo9uuSV41inc0qXw6KMNmvR4r9zOKzVqbTryRNPpyJ2qq6tp106/KVXu9V2NZmfD4YdDRdgH1I4dISsL4rRwnk5HrpoilTpq0QkiVOLNH98VDjsMwmcka9sW/vOf7xYB1+O9cju31agbpyNXlq1du9Z2BKWiWrt2LZSXw6RJzkETBKfm9chq4yp5DZQS2xGUXw0ZAo8/7mzfswfOPBNKgrWpx3vldl6pUR04+diYMa1cjE+pOBtzyCFw+eXw9dfOjWefDRdemPBMSoXbaHrZjqD8bNKkYD8ZbsMGuOgiMEaP98r1vFKjOnDysczMTNsRlIpq4623wgsvODccdBAsWqRTjytXGCGFtiMov7v//uD9nuFeew3uu0+P98r1vFKjOnDysYzQtc9KuVJWFkPvvdfZ3r49LFkCnTolPpNSEeQanQZfWZaeDq++Cl27OrdNnUqGR6Z6Vv7llc+kOnDyMa+M7pUPlZYGr8+vrnZue+wxGD068ZmUaoSecVKusN9+8PTTzva6Ovacfjps3574TEo1kVc+k+rAyce8MrpXPhMIBO9d+uYb57ZLL4Xzz094JKWi0TNOyjVOOw2uv97R3LawsPHFw5VyAa98JtWBk4+tXLnSdgSlnObODV6XH27sWPjTnxKfR6l9GC76Tb5ykbvugh/9yNn+/vswdWri8yjVBF75TKoDJx8brZc7Kbd57TWYPdvZ3qVL8Pr99u0THkmpfdloetqOoNT30tLg5ZehZ4S6vO++4GLiSrmMVz6T6sDJx9avX287glLfy86Gc8+NvO2ZZ2DkyITGUaqp+stO2xGUamjwYHjpJUiJ8DFv8uTgwuFKuYhXPpPqwMnHBg0aZDuCUkGlpXDqqcHFbsPNnBm8bl8pl9phdIZH5ULHHQcLFjjbq6qC/W2hTmqi3MMrn0l14ORjRUVFtiMoBXV1cM45sG6dY1PFMcdEvnRPKRfpIpW2IygV2Q03BCeFCPftt/Cb30BNTeIzKRWBVz6T6sDJxzrpOjjKDWbNgnfecbYfeCCVjz8e+VITpVyk0qTZjqBUZCLwxBPUHnKIc9vHH0ecgU8pG7zymVQ/kfhYjX7TpGx74QWYN8/Z3qULvPYae3QyCOUBqQRsR1CqcR06UPzkk5Eni3joIXjkkcRnUiqMVz6T6sDJxwIBPdgriz79FC6+2NkuEhxQHXig1qjyhBQxtiMoFVXNwIHwyivQpo1z49VXw9//nvhQStXjleN9qu0Ayp4OHTrYjqD8Kjc3eHPynj3ObbffDqecAmiNKm+oMnooVe7WoUMHOOYYuOceuO66hhsDgeD9Tv/+N4wZw/Slq2L++vNPHxPz51TJxSvHez3j5GPFxcW2Iyg/KimBk0+GHTuc2377W5gx47sftUaVF3SWatsRlIrqu770mmuC05GH27Ur+IXV1q2JDaZUiFeO9zpw8rEBAwbYjqD8Zs8eOOMMWLPGue2HP4Snn24wGYTWqPKCYtPRdgSlovquLxWBhx+GY4917pSfDxMnklats0SqxPPK8V4HTj62YcMG2xGUnxgDl18OH37o3DZsGPztbxA2GYTWqPKCvlJmO4JSUTXoS9PSYMkSOPhg547//S9nPngr4pH7TVTy8MrxXi/M9rGDDjrIdgTlcrG81v34Fx/kmL8+7dzQpQu8+Sb07evY1NQajcc1+Uo11bemu+0ISkXl6Eu7dYO33oIJE2D79gabxnz2HmXP3M2bF90cPEOlVAJ45TOpnnHysRUrVtiOoHziR2//hWP++rhzQ5s28OqrMHp0xN/TGlVeMEK273snpSyK2JcOHx4809+unWPTj996gaP+FuGLLqXixCvHex04+di4ceNsR1A+cMhn/+CUp+6KvPHhh+GEExr9Xa1R5QW5po/tCEpF1WhfeuSR8MwzETed9PwfGffBa/ELpVQ9Xjne66V6PpaZmUlGRobtGCqJDf/qC377x+mkGOc6Nx9MmsJ7vY+EKJfZjZBC/VCqXE/rVLld1OP9WWdBXh5Mn+7YdPqjs9ndtTtrMo6Kb0Dle175TKpnnHzMCwWqvKtf3hrOX3ANqbXO1cC/OPY03jvryn0+h34YVV6gdarcbp/H+6lTg1OVh2kTqOOce25kyJqVcUqmVJBXPpPqwMnHsrKybEdQSar3pg1cMmcK6RXljm3Z43/G3y6b2aSbjkdIYTziKRVTWqfK7fZ5vBeB++4Lnn0K03ZPFRfMu5J+eRGWkVAqRrzymVQHTj42duxY2xFUEuq+dROXzJlMp7ISx7aNBx7GS9cvJNCmaVcJ55resY6nVMxpnSq3a9LxPiUFnnmGdYf+0LGpQ3kZl8yZQu9N38QhnVLe+UyqAycfy8nJsR1BJZkuO7Zy6ZxL6Vrs/Aa+cOBwnp3+IDXt2kf4zcgGi3PwpZTbaJ0qt2vy8b5dO56/+X42jRjl2NSprIRLZ0+mx9ZvY5xOKe98JtWBk48NHz7cdgSVRDqV7ggeVAu3OLaV9B7AU7P+TEXnbs16zm2mS6ziKRU3WqfK7ZpzvN/TviPP3PIwRf2HOrZ1KdnOpbMn03V7QSzjKeWZz6Q6cPKxLVucH3CVaokOZSVcfPtl9N6y0bFtZ48+PDH7cXb26tfs5+0hu2MRT6m40jpVbtfc4/3urj15YvbjFPcZ4NjWffsWLp09mc4lun6Zih2vfCbVgZOP9ejRw3YElQQ67izm0tsupf/GtY5t5V268+RtiyjuN7hFz73LOBdmVMpttE6V27XkeL+zVz+euO0JdvZwzhrZa2s+l866hM4RLstWqiW88plU13HysYqKCrp37247hvKwTqU7uGT2pfT7NtexrbJjZ56a9We2D9qvxc+fLrXsdi4BpZSraJ0qW6ZHWQevvp5Szg7TqdnPX9JvEE/MfpwpMy+i887iBtv6bMljysyLeWLOEy26okCp+rzymVTPOPlYSor+86uW61yyncmzLo44aKpO78DTtz5KwfCDWvUaAbPvKcuVsk3rVLlda2q0aOBwnpq1iIpOXR3bem3NZ8rMi+hWuLk18ZTyzGdSb6RUcZGWlmY7gvKoLju2MXnWxfTZvMGxLThoeoRvDzi01a9Tq12U8gCtU+V2ra3RrcMO4MlZf6ayY2fHth6Fm5ky82K6b93UqtdQ/uaVz6Ta2/tYeblzcVKl9qX7tk1MmXVxxIkgqtp35KlZf2bjweNi8lrtpSYmz6NUPGmdKreLRY1uGTGKJ2Y/HvHMU/eiAi6beSG9InyZplRTeOUzqQ6cfKxXr162IyiP6btxLZffcgE9I6zjUdkheE9T/oGHxez1ykzT13xSyhatU+V2sarRLfuN4vE5T1DexXkvStfiQi679UIGrl8dk9dS/uKVz6Q6cPKxTZv0tLpquiE5K7hs5kV0iTAFbUWnLjx526KYXJ5XX0/xxjdQyt+0TpXbxbJGtw47kCfmPMGurs5Z0DqVlTD5tksY8b/PY/Z6yh+88pnU6sBJRE4UkTUisl5EpkXY3k5EXg5tXyYiw0LtPUXkQxEpF5GHEp07WYwcOdJ2BOURB3z5KZfMmUL73bsc2yo6deWJ2x5n88jRMX/dAuO8JEQpt9E6VW4X6xrdNmR/Hr/9acq693Zsa1dVwYV3Xskhn/0jpq+pkptXPpNaGziJSBvgYeAkYBRwtoiMCtvtEqDEGDMSuB9YEGqvAmYCNyYoblJavVpPp6t9G/vJW5w//w+03VPl2LazRx8eu3MxBfsdHJfXHio74vK8SsWS1qlyu3jU6PZBw1k09+mIi+Sm1tZw9r03ccQ/Xo3566rk5JXPpDbPOB0BrDfGfGOM2QO8BEwM22cisDj09yXAsSIixpjdxphPCQ6gVAsddljs7kVRScgYjl6yiN8+MJ02dbWOzdsHDOWxO59t1TpN+7LBOL/NVMpttE6V28WrRnf0H8Jjdz7L1iHOswUpxnDan+fyi+cfgEAgLq+vkodXPpPaHDgNBOrfYb4p1BZxH2NMLbAT6NnUFxCRKSKyXESWFxQUUFRUREFBAZs3b6akpITc3FwqKyvJzs4mEAiQlZUFQGZmJgBZWVkEAgGys7OprKwkNzeXkpISNm/ezN7ny8vLo7y8nJycHGpra1m5cmWD59j756pVq6iurmbdunWUlZWRn59PYWEhhYWF5OfnU1ZWxrp166iurmbVqlURn2PlypXU1taSk5NDeXk5eXl5rXpPy5YtS7r3lIz/TjbeU9bnn8PFF3PCXyJfCbttvwN44Y7HkD5d6SnldKSKfrKTttQyWIoBwwgJrijf8E/DYCmmLbX0k510pIqeUk53dtOZSvpIGenUMFBKSCHAYSn5EZ4DhkoRqdTRX0ppzx56yS66UkFXKuglu2jPHvpLKanUMVSKIj7HcNlOCgEGSgnp1NBHyuhMJd3ZHdf3NFy263tKsvd0kGxJuveUjP9Ofn5PY0N9aTzeU8ee7Xh+7mNsOijyPa4//78nKT3xRKis1GOuvqdG39Nnn33mqvfUGDHGznLnIjIJONEYc2no5/OACcaYq+rt81Von02hn3ND+xSFfr4QGF//dxozfvx4s3z58ti/EaWSTWkpnHEGfPBBxM3fjB7Ps9P+RHWH5q9Cr5RSKjmlVVdyzr03cVDmJ5F3+OEP4bXXoE+fxAZTqgVEJNMYMz683eYZp83A4Ho/Dwq1RdxHRFKBroBeTB4je0fdSn0nNxeOPLLRQdP/fnQCT9/ySMIGTXu/4VTKzbROldslokZr2rXnuZvvJ+vnv4q8w+efBwdPX38d9yzKe7zymdTmwOkLYH8RGS4ibYGzgNfD9nkduCD090nAB8bWKbIklJGRYTuCcpN//AMOP7zRg9pHp17MS9cvpLZdesIi5Rr9ZlK5n9apcrtE1WggNY1Xr7qD9357ReQdNmyACRPg9fCPe8rvvPKZ1NrAKXTP0lXAu8DXwCvGmNUicruI/Dq025NATxFZD1wPfDdluYjkAfcBF4rIpggz8ql92HsdqvI5Y+Cee+Ckk6CkxLG5LqUNSy+bxbvnXYtJSWyXsfc6faXcTOtUuV1Ca1SED35zOS9fM5/a1DTn9l27YOJEmDNHJ41Q3/HKZ1Jr9zglmt7j5FRdXU27du1sx1A2VVTApZfCX/4ScXNV+468eMM9rPvBjxMcLCiVOmppY+W1lWoqrVPldrZqdFh2JuctuJYO5Tsj7zBxIjz7LHTpkthgynXc9pnUjfc4KcuizRqifGDdOvjxjxsdNDF8OI/dudjaoAmgtzgX3FXKbbROldvZqtG8URk8Mv95OOCAyDu89lrw0j2978n3vPKZVAdOPta3b1/bEZQtL78MGRmwYkXk7cceC198wbahjRzsEqTUdLD6+ko1hdapcjubNbpjwFBYtgxOPjnyDjk5MH48LF4cebvyBa98JtWBk4+VlpbajqASrbISLr8czjoreJ15JDfcAH//O/Rs8pJpcdNRqm1HUGqftE6V21mv0W7dghNCzJwZeXtFBVx4IVxwAZSXJzSacgevfCbVgZOPpacnbnY05QJr1sCPfgR//nPk7enp8NxzwYkiUlMTm60RNUbvG1Hup3Wq3M4VNZqSArffDkuXQqdGlrR49tng2af//S+x2ZR1XvlMqgMnpZKdMfDoo/CDH0BoBW2HESPg3/+Gc89NbDallFL+ctppwUv3Djoo8vY1a+CII+D++3XWPeU6OnDysaqqKtsRVLxt2QK//CVccUXwMr1IzjwTMjNh3LjEZmuCNKmzHUGpfdI6VW7nuhodNQq++ALOPz/y9upquP56OO448MikAap1vPKZVAdOPtatWzfbEVQ8LVkCY8YE71eKpG1beOSR4EQRXbsmNlsT7TbumZpUqcZonSq3c2WNduoUnBDimWegQyOTV3z4YfA4tnhx8OoJlbS88pnUHTcyKCu2bdtGF107Ifls2wZXXw2vvtr4PiNHwiuvBC/fc7FuUkGlaWs7hlJRaZ0qt7Ndo9OXRlnctPM4es9/kXPuvZF++eud28vK4MILyX74GV6bfAtlPb+ffW3+6WPikFbZ4JXPpHrGyceGDBliO4KKJWPg6afh4IOjD5qmTIEvv3T9oAlgu+lsO4JS+6R1qtzO7TW6fdB+PHzXi/z7l+c0us+oLz7iumtPY8LfX0b03qek45XPpDpw8rG1a9fajqBi5Ztv4IQT4OKLoaQk8j59+8IbbwRn1WtsRiOXGSiNvBelXETrVLmdF2q0tl06b14yjSduW0Rpz8hr+qRXlHPq43cyZeZF9Pk2N8EJVTx55TOpGJ9cMzp+/HizfPly2zGUiq3KSrj7/9u78yipyjOP49+nFxZZhAYV2RShUUHBAUU0wsEFJWZxj8blmGg0mSzqHI84xt0TtxiNyahJjDIaJSKjRpnExIiiaFBBEJRVGleQRZYWZe2mn/njvQxF0dXV3XTXvdX1+5xzT1XdeuvWg+ex+z79vve5d8Htt0NdF1aedloomPbaq0GHr3N5hYiISDNos2E933r4Doa8+teMY6pLSigZOxauuSZv/hgo+cPMZrr74en7NeNUwGbOnBl3CNJY7vDcc6Ez0Y03Zi6aunQJ92Z6+ukGF01J0NdWxR2CSFbKU0m6fMvRze068j+X3cbjV93Dl51qvxl7SXU13HZbaGv+xBNqHpHn8uWcVIVTARs6dGjcIUhjLFoUWoyfeip89FHmceedBwsWhHszmeUsvKa0xPeOOwSRrJSnknT5mqPzhp/APb95jhnHn5Z50LJlcO65MHJkuH5X8lK+nJOqcCpg+VLdS2T5cvjRj2DgwMwtxgF694bnn4fHH8/LWaZU+fZXUilMylNJunzO0c3tO/LMj2/mwZsfZvW++2Ue+PrrMHQoXHJJKKYkr+TLOamucRJJuvXr4Ve/grvvho0bM48rKYHLLw9L9zo0TQclXeMkIiJJUbJlM8c+/UdGPvcIJdVVmQe2aQOXXQZXXw1lZbkLUFqMTNc4qXAqYHPmzGHw4MFxh1Fw6luMlGzdwrAXn+LYpx6k/fq6OyItHjSc8gnjQivyJhR34dTHPudDz+9ZM2n5lKeSdC0tR8tWfMo3HrmLATNeqXtgp06heLrsssw32ZVESNo5qQonFU67qK6upqRE90DOtWzFSOmWTQx78SlGPvsIHdd9XufYdV335W/fv4p5Rx7P7WcMasowgfgLpyJqqNGKYkk45akkXUvN0dv3WAZXXBGu/a1Lt25w5ZVhubs68CVS0s5J1VVPdlFRUcsduiU2pZs3csykR7nqxyfzzf++q86iafMe7fnHeZfx698+y7zhJ+Rt84ds9rUv4g5BJCvlqSRdi83RMWPg3XfDcvY998w8bsUKuOoq2G8/+MUvoLIydzFKveTLOakKpwLWs2fPuEMQoN0Xazj+yQcY++9f5xuP3k2HyjUZx1aXlPD6N8/nrvv/xqun/4Cq1m1zGGnurXH9ZVCST3kqSdeic7RVqzCb9MEHMHZsuL4pk7Vr4frrQwF17bWhoJJEyJdzUhVOBWz16tVxh1DQ9v6kgtMfuJGrf3gSJ0z8fdbrmN4Z+Q3u+e0k/vb9sWzs2DlHUcaro22KOwSRrJSnknQFkaNlZXDnnVBRAZdeCsXFmceuXx/uAdW7N1x4Icyalbs4pVb5ck6anMWEknPttc4397Zt48CZUzn6+T/Tf/a0rMNrzJg7fDRTzryUFfv3z0GAybLJS+MOQSQr5akkXUHlaI8e8Ic/hFmoG2+EJ5/MfHPcqir405/CNnJk6Ex7yil1F13SLPLlnFSFUwGrqqqjlac0raVLYdw4eOghvvfpp1mH1xQV8e7RJzHljEtY1btfDgJMphJq4g5BJCvlqSRdQeZo//7wxBNw001wxx3w2GOwbVvm8VOnhq1HD7joIrj44rCkT3IiX85J1VWvgC1btowePXrEHUbLVVUVblT70EPw179CTfZfXNuKS5hzzBimnHEJq3v0yUGQydbFvmrZa/OlRVCeStK11By9/fRD6z/4o4/gl7+Ehx+GrVuzDq8xo2LwUUw/4QwWHj6KbaWNn7VrUJwFKmnnpJm66mnGqYDtoXsaND13ePNNGD8+LA+o55rdTe068Nbos3jj5HNY36VbMweZPza7fkRJ8ilPJemUo8D++8MDD8B118H994flfGsyN2Mqcqf/7Gn0nz2NDR068d7RJzJ7xMl8cuBheJFaBDS1fDkn1f9JBWzt2rV07lwYTQaa3fvvh2Jp/HhYsqTeH1vTrRevf/MCZo36Nlvb5scPjVzqYFvY4HV0SBJJAOWpJJ1yNEX37nDrraGAGj8e7r0X5s2r8yPtvqxk+AsTGf7CRNZ13Zd3jxnD7BEns2K//i32diC5li/npFqqV8A2bdpE27Ytu511s5s6NdwbYvr0en+kpqiIhUNGMP3Es3j/sK/hugg1o1ZUs1V/35GEU55K0rXUHG2SJXDu8NJLcN99YVl9XddBpVnVfX8WDDuW+cOO49PyQzPORGmpXnZJOyfNtFRPhVMBmz9/PgMGDIg7jPw2fToceWT9xvbsCT/4Abd3P1rL8eqpl63lUy+LOwyROilPJemUo/XTYe0qhk55jiMmP0PZqmUN+uyXnbqw4PBRzB92LEsOGUZ16x0zfCqcskvaOakKJxVOu6ipqaFI63R3jzsceCAsXlz7+23awLe/DRdcEO5wXlLCNc+8l9sY85oDWgYhSac8laRTjjaE1dRwwNzpHDH5GQbMmELp1i0N+nxVq9Z8ePBQFh92FBWDjuLy/zhdS/qySNo5qZpDyC5mz57NkCFD4g4jv5nBeeeFdqep+447Ds4/H04/HTp2jC28fNfXPmeJ7x13GCJ1Up5K0ilHG8aLilgyaDhLBg2n1aYNDHzrZQa//jz95rxJcU32pXylW7fQf840+s+J7td4VzcYPRpGjYIRI6BfPxVSafLlnFQzTiK7q6ICysth8OBQLH33u+E+EBloxklERCT/tPtiDYdOe5HBr/+d3otmU9TYc+hu3eCYY0IRNWIEDBqkm+4mjJbqqXDaxcyZMxk6dGjcYTSZ5ihI6r0uuaIi/AWpHlQ41V9fW6W/kkriKU8l6ZSjTa/9utUc/PYrDJjxCn3ffZPSquz3hsp8sPYwZAgccQQcfnjY+vYtqFmppJ2TqnBS4dTixVo4NYAKJxERkZaj1aaNlM/+FwOnT6HfnGl0+GLt7h+0U6dQQA0ZAoceCoccAgcdFK6dlmana5xkF7NmzcqL9aRSuPRXUskHylNJOuVo89radg/mHTWaeUeNxmpq6Pbx+5TPmUb57DfYf8EsSqqrGn7QykqYPDls2xUXh0sDDjkkbAMHhtf9+kG7dk33D4pBvpyTasapgCWtg8nu0kxOS6ROUJIPlKeSdMrRuJRu2cQtndfCq6/Ca6/BjBmwdTeW9WXSvXsooMrLd2wHHAC9e0Pnzolf9pe0c1LNOMkuFi5cmKie+SLpetk63XtEEk95KkmnHI1PVeu24XYkY8aEHZs3h+LptdfCNm0arF+/+1/02Wdhmzp11/fatQsF1PZtv/3CY8+eoVFFt25haWCMxVW+nJOqcCpgffr0iTsEkTqtdLVyl+RTnkrSKUcTpE2bHd30AGpqQoOpt98O24wZMGsWbNzYdN+5YQMsWBC2TFq12lFEdesG++yz43nXrlBWtvPWoUOTFlr5ck6qwqmAffbZZ/Tt2zfuMEQyKrMNrPA94w5DpE7KU0k65WiCFRVB//5hO/fcsG/bNli4MBRSc+fu2JYubb44tm6FTz4JW32UlOxaTHXuHAqqjh3DY+pW274OHcJxyJ9zUhVOMUlCB7iysvim7XU9ktTHl9467hBEslKeStIpR/NMcXFo/DBw4M77Kyth3jx4771QSL3/PixeDB9/DLnuWVBdDatWhW13lJZCu3b0ads2tGU//3y44YamibEZxFo4mdkY4DdAMfCQu9+R9n5r4E/AUGANcLa7fxS9dw1wMbANuMzdX8hh6C3Cxo0b6dy5c9xhiGTUxqrZUBj9aySPKU8l6ZSjLUSnTvC1r4Ut1ZYt8MEHoYjavi1ZsmMGafPmeOKtj6oqqKykqLIyvF7bBK3cm1FshZOZFQP3A6OBpcAMM5vk7vNThl0MrHP3fmZ2DnAncLaZDQDOAQYC3YHJZtbf3bfl9l+R35LUvUSkNjWe7C5AIqA8leRTjrZwrVvDwQeHLZ07rF69o4javn38MSxfDitWhMdNm3Ifd2322CPuCOoU54zTMKDC3T8AMLMJwClAauF0CnBT9Pwp4D4zs2j/BHffAnxoZhXR8d7IUewtQmlpadwhiNSpGhX3knzKU0k65WgBM4O99grb0KG1j3GHr74KRdTKleFx+7ZyZZgF2r6tWRMem6vQSvj9qOIsnHoAn6a8XgocmWmMu1eb2RdAl2j/m2mf7ZH+BWZ2KXBp9PIrM1vUNKEn0x3Zh6TrCqxu8kBEmo5yVPKB8lSSTjkao0acnxWikKPXXQfXXRd3LAD71bazRTeHcPcHgQfjjiOpzOzt2m7uJZIUylHJB8pTSTrlqCRdvuRonHO3y4BeKa97RvtqHWNmJcCehCYR9fmsiIiIiIhIk4izcJoBlJtZHzNrRWj2MCltlTDXWgAACFNJREFUzCTgwuj5mcDL7u7R/nPMrLWZ9QHKgek5iltERERERApMbEv1omuWfgq8QGhHPs7d55nZLcDb7j4JeBh4LGr+sJZQXBGNm0hoJFEN/EQd9RpFyxgl6ZSjkg+Up5J0ylFJurzIUfNc3zBLREREREQkz6g/pYiIiIiISBYqnERERERERLJQ4VSAzOwsM5tnZjVmdnjae9eYWYWZLTKzk+KKUcTMxkR5WGFm/xl3PCJmNs7MVpnZ3JR9ZWb2opktjh47xxmjFDYz62VmU8xsfvR7/vJov/JUEsPM2pjZdDObE+XpzdH+Pmb2VvR7/8moeVyiqHAqTHOB04GpqTvNbAChAcdAYAzwgJkV5z48KXRR3t0PfB0YAHw3yk+ROD1C+NmY6j+Bl9y9HHgpei0Sl2rgSncfAAwHfhL97FSeSpJsAY5z98HAYcAYMxsO3An82t37AeuAi2OMsVYqnAqQuy9w90W1vHUKMMHdt7j7h0AFMCy30YkAIe8q3P0Dd98KTCDkp0hs3H0qocNrqlOAR6PnjwKn5jQokRTuvtzdZ0XPvwQWAD1QnkqCePBV9LI02hw4Dngq2p/IPFXhJKl6AJ+mvF4a7RPJNeWi5It93H159HwFsE+cwYhsZ2b7A/8GvIXyVBLGzIrNbDawCngRWAJUunt1NCSRv/dju4+TNC8zmwx0q+Wta939uVzHIyLS0rm7m5nu8SGxM7P2wNPAFe6+3sz+/z3lqSRBdP/Vw8ysE/AX4KCYQ6oXFU4tlLuf0IiPLQN6pbzuGe0TyTXlouSLlWa2r7svN7N9CX89FYmNmZUSiqbx7v5MtFt5Konk7pVmNgU4CuhkZiXRrFMif+9rqZ6kmgScY2atzawPUA5MjzkmKUwzgPKow04rQtOSSTHHJFKbScCF0fMLAc3oS2wsTC09DCxw93tS3lKeSmKY2V7RTBNm1hYYTbgebwpwZjQskXlq7pqtLTRmdhrwX8BeQCUw291Pit67FriI0JnnCnf/e2yBSkEzs5OBe4FiYJy73xpzSFLgzOwJYBTQFVgJ3Ag8C0wEegMfA99x9/QGEiI5YWbHAK8B7wE10e6fE65zUp5KIpjZIELzh2LCJM5Ed7/FzA4gNIMqA94Bznf3LfFFuisVTiIiIiIiIlloqZ6IiIiIiEgWKpxERERERESyUOEkIiIiIiKShQonERERERGRLFQ4iYiIiIiIZKHCSUREREREJAsVTiIi0uTM7Edm9nczW2FmVWb2uZm9aWY/i254KCIikld0HycREWlyZvYG4SaxLxNutN0ROAy4gHBjwxHuXhVfhCIiIg1TEncAIiLSIo2srTAyswXAr4DjgBdyHpWIiEgjaameiIg0uTpmkz6OHmsAzOwVM6tIH2Rmo8zMzez8lH2Hmtk4M6sws01mttbMnjOzAWmfvcnMdllOEX3XK2n7Ss3sWjNbaGZboqWFD5pZWdq4j8xsci3H/F4U5zFZvqeTma2Oxo5Ke2+ImU0ys3XRv+ttMzs1/btERCRemnESEZFmY2Z7AqVAO+AQ4FbgTWBKIw53IjAAeBxYCvQCfgi8ZmYD3X1FA2Mz4GlgNPAw8C5wAPAzYJiZDXf3zY2IszY3AF1qiWEE8E9gPuG/zWbgO8BfzOxcd3+iib5fRER2kwonERFpTi8BQ1Ne/wP4jrtXN+JYv3P3u1N3mNljwFzgYkLhATtms8zrvpD3HOBbwInu/mLKMV8mLCO8APhjI+LciZmVAz8F/jf6vu37DXgQmAEc6+7bov33A68BvzSzCVn+DSIikiNaqiciIs3px4QZnXOBB4DjgYlmVpwypsjMuqZuwJ7pB3L3jdufm1k7M+tCaDzxPjsXZ6uix15ZYjsb+AB4J+27ZwFfEK7DSlVaS5zts3wHwF2EJYr3pe0fDBwEjAc6pxyzC/A80BPoX4/ji4hIDmjGSUREmo27T095+YSZvQf8DjgTeDLa3wf4PNuxomV/twFnAXulvb065fm/AAfuNLOfA19G+0uB1Guv+hOW5mX67r3TXo+sT5xpMR8LnAKcBmxNe3t7UfT7aMsUw6KGfKeIiDQPFU4iIpJLEwmF05HsKJw+Ay5MGzeY0H0v1QRgFHAPYVboS8KyvHtJWUHh7u+Z2fXALYTleKleTXleBCwkXNNUm3Vpr98BxqbtOxG4qrYPm1kR8GvgFXd/Nr0pRErMPycs16vN3Az7RUQkx1Q4iYhILm2/+W3qNU6b3H2njnVmVp32uhMwBrjJ3W9Oe68zO8844e63mtkfCc0ktv+u2+n6KKCCUMC97O419Yh9bS1x9qxj/EXAocDhGd7f3k1wQ/pxRUQkeXSNk4iINDkzOznDWz+MHhtaKGwvbHb6vRW1K+9e2wfcfZW7v+Luk6PCJH0GaQLQFbgi/bNmVpzekryBOgC/AB5x93cyjJkFLAaujArD9BjSlyOKiEiMNOMkIiLN4c9mtgj4C7CC0PBgNHASMM7d/9mQg7n7ejObAow1szbAEsJMzpmEBg+NMR44A7g7agv+KmEmrG+0/wbgkUYeewjwFXBdpgHuXmNm3ydqR25m4whNJPYhzIQNiGIREZEEUOEkIiLN4WpC6+2fEgqBjcDbwNnuPrGRxzyXcH3TxUAbYDqhGEtfglcv7u5mdibhGqfvEZYCbiUUL08CLzcyzu3udPflWWL4l5kNA64HLgU6ASuBOcC1u/n9IiLShEy3hxAREREREambrnESERERERHJQoWTiIiIiIhIFiqcREREREREslDhJCIiIiIikoUKJxERERERkSxUOImIiIiIiGShwklERERERCQLFU4iIiIiIiJZqHASERERERHJ4v8Aigq0tFs7FMkAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 1008x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "dztzgPdIeBrZ"
      },
      "source": [
        "#### 2.2 Равномерное распределение"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "S7zDkPozeBrZ"
      },
      "source": [
        "${U}(a, b)$ — равномерное распределение. \n",
        "  \n",
        "Параметры в `scipy.stats`:  \n",
        "* `loc` = $a$,\n",
        "* `scale` = $b-a$.\n",
        "\n",
        "Свойства распределения: \n",
        "* математическое ожидание: $\\frac{a+b}{2}$,\n",
        "* дисперсия: $\\frac{(b-a)^2}{12}$."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:41.837481Z",
          "start_time": "2020-03-14T07:58:41.547072Z"
        },
        "id": "D5fHQhxdeBrZ",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 364
        },
        "outputId": "02240267-2877-4888-83eb-30dd8ba4b252"
      },
      "source": [
        "show_pdf(\n",
        "    pdf=sps.uniform.pdf, xmin=-0.5, xmax=1.5, ymax=2, grid_size=10000, \n",
        "    distr_name=r'$U(0, 1)$', loc=0, scale=1\n",
        ")"
      ],
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:42.232318Z",
          "start_time": "2020-03-14T07:58:41.839263Z"
        },
        "id": "tBILTZUFeBrZ",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 451
        },
        "outputId": "5c48d3d5-5a55-4b3a-92de-ae8eb19de784"
      },
      "source": [
        "grid = np.linspace(-3, 3, 10001)  # сетка для построения графика\n",
        "sample = sps.uniform.rvs(size=1000)  # выборка размера 1000\n",
        "\n",
        "plt.figure(figsize=(16, 7))\n",
        "plt.hist(sample,  bins=30, density=True, alpha=0.6, \n",
        "         label='Гистограмма случайной величины') \n",
        "plt.plot(grid, sps.uniform.pdf(grid), color='red', lw=5, \n",
        "         label='Плотность случайной величины') \n",
        "plt.title(r'Случайная величина $\\xi\\sim U(0, 1)$', fontsize=20)\n",
        "plt.xlim(-0.5, 1.5)\n",
        "plt.legend(fontsize=14, loc=1)\n",
        "plt.grid(ls=':')\n",
        "plt.show()"
      ],
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1152x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:42.570028Z",
          "start_time": "2020-03-14T07:58:42.234367Z"
        },
        "id": "MWYi13OLeBrZ",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 460,
          "referenced_widgets": [
            "647ff19068d1427d950481641dd4eabc",
            "bac3b63826614e3690de954c37521fff",
            "e90b4fe5e45245a99c24a94408b20ec2",
            "ad101776b67f413887b890584e9479b9",
            "7786302ba9a641d986e4d79c8716e33b",
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            "abc640fb85e7435aaf0ecf3c4e89072f",
            "d0c289df62074a6ea74a1fd862694c18",
            "01d1f1f670484c39a80544091e77e825",
            "43ba6be204844d6f886b5ffb2d688eb1",
            "7a097f78f1db48669c8886474899d0e1",
            "52fe94c8573a41a59ea19c7b98667922",
            "3d12244ee0274e88850e96e09c759348",
            "3554e3cee4a24a1ca4f3e7a423cffc6f",
            "88602113606f466b976569708842106c",
            "6d354f92a37444b5809a07db648e93d6",
            "0d7846b6eebc4b618f1fcb3067c19476",
            "dfeffd287e5c44a3804b19f2b5cc85b4",
            "1f6bcf7fe96c474d9722bae968cb1348",
            "5b1a11a00ef04e08819157097dbf42b7",
            "ebd96db4ffc54d159b5d172f650923e0",
            "2c93e1f6f5554450a9b94b6241c8ccfb",
            "3bcda375095841558d3012dc697653ef",
            "c18c87e401f74e6b830f323b35a98223",
            "d26c14de6ac84ce58329725a0f822381"
          ]
        },
        "outputId": "6b27708c-8949-4a64-cb73-151e3a43e59b"
      },
      "source": [
        "# создать виджет, но не отображать его\n",
        "ip = widgets.interactive(\n",
        "    show_pdf,\n",
        "    pdf=widgets.fixed(sps.uniform.pdf),\n",
        "    grid_size=widgets.IntSlider(min=25, max=300, step=25, value=500),\n",
        "    xmin=widgets.FloatSlider(min=-10, max=0, step=0.1, value=-5),\n",
        "    xmax=widgets.FloatSlider(min=0, max=10, step=0.1, value=5),\n",
        "    ymax=widgets.FloatSlider(min=0, max=2, step=0.1, value=1.4),\n",
        "    loc=widgets.FloatSlider(min=-4, max=0, step=0.1, value=0),\n",
        "    scale=widgets.FloatSlider(min=0.01, max=4, step=0.01, value=1),\n",
        "    distr_name=r'$U$({loc}, {loc} + {scale})'\n",
        ");\n",
        "\n",
        "# отображаем слайдеры группами\n",
        "display(widgets.HBox(ip.children[:2]))\n",
        "display(widgets.HBox(ip.children[2:4]))\n",
        "display(widgets.HBox(ip.children[5:7]))\n",
        "# отображаем вывод функции\n",
        "display(ip.children[-1])\n",
        "\n",
        "ip.update()  # чтобы функция запустилась до первого изменения слайдеров"
      ],
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "647ff19068d1427d950481641dd4eabc",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "HBox(children=(FloatSlider(value=-5.0, description='xmin', max=0.0, min=-10.0), FloatSlider(value=5.0, descrip…"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "d0c289df62074a6ea74a1fd862694c18",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "HBox(children=(FloatSlider(value=1.4, description='ymax', max=2.0), IntSlider(value=300, description='grid_siz…"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "6d354f92a37444b5809a07db648e93d6",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "HBox(children=(FloatSlider(value=0.0, description='loc', max=0.0, min=-4.0), FloatSlider(value=1.0, descriptio…"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "c18c87e401f74e6b830f323b35a98223",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "Output()"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2020-03-14T07:58:42.997966Z",
          "start_time": "2020-03-14T07:58:42.572000Z"
        },
        "code_folding": [],
        "id": "hSBuywVFeBra",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 417
        },
        "outputId": "c16ed6a3-8e72-4012-f2c1-0aa8fd6aeae0"
      },
      "source": [
        "grid = np.linspace(-3, 7, 1000)  # сетка для построения графика\n",
        "loc_values = [0, 0, 4]  # набор значений параметра a\n",
        "scale_values = [1, 2, 1]  # набор значений параметра scale\n",
        "\n",
        "plt.figure(figsize=(12, 6))\n",
        "for i, (loc, scale) in enumerate(zip(loc_values, scale_values)):\n",
        "    plt.plot(grid, sps.uniform(loc, scale).pdf(grid), lw=5, alpha=0.7, \n",
        "             label='$U' + '({}, {})$'.format(loc, scale))\n",
        "\n",
        "plt.legend(fontsize=16)\n",
        "plt.title('Плотности равномерного распределения', fontsize=20)\n",
        "plt.xlabel('Значение', fontsize=18)\n",
        "plt.ylabel('Плотность', fontsize=18)\n",
        "plt.grid(ls=':')\n",
        "plt.show()"
      ],
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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XiP4dwD8D+ICIXgYQhOahPhPaJLVHTOU79Yk/fwDwayJaDs3jUwBtctEl6L/uz4E24KzsZz0GOwBUEtFvoT1G/Qo0I74cWtorg1ehGQ53E9FsaB66iQAug5YTu7cMFcYkR0CLFf0qNAPlr9By7/aHH0Hz0K7QJx6+ja482COgefl7ffQthLgTXdkReitXS1oe7GehnaNboD2+z4fW/gugxaXPsPj5h/pvzHmw/w7af5f2BiAThBDtuly/A7CdiH4HbTLjPGhe0E+gTRS0U3dWOpAhbwDYQUQvQYvh/qL+qofWnwbvQzs/rySid/VjnaIf+yNYxyY/Da0frgNQR0SboPXJOGihA89CM+b7yxYA/0FEX4V2Dht5sDugZfEwT4B8EJpOfRtalpmt0OLEPwNND84H8GMANQCg/9+3QHu6ccxicuBC/f0GIpqsZ++AEOJZIpoHzfDfT0RvQjsPRkG7hl4I7Wbu2/24Tv+JiH4E7eawjohehxZaUgRt3sBF0PppcSb1ZcA8AN8VGWR/0a8xPwLweyHEfw3Q8ZnBiPBBrkB+8au3F2zkwYZ2kT0ELaZ5ZprfrIZ1HtccaIPDLmiP/kPQDL3vwJRXthc56nvZvxBZ5sE27bsG2qDRBm0ArYY2IBakqWsiNM/LQWgT+j6FNsM9bb5gZJ4HW0DzzmT0n/ZSn9Hez0FLe1Wrt+0wtMVaii1+MwGax/gwtMwH1dAMrzxY56hebZLZeLVCWwDivtRj9NYHpvNxm8X2Umhe9Dpoj4ZbALwF4NJsz4MMz4fZ+v6P9eOdhBaa8CSARVb9Cm0y3kP6ORGBNmlvFYChmbZT33cD0uRuhraQzf9CMyg7oRlXjwMYl0370hw3Kx1IU0fyHNXbUamfR8ehGX6ftfjNKGi6VK8fdz+0BW6Goff8yt+ElsWjVf/dQf3cnZvJf5lOJ83nD7TQij9Ci6Fvg3Zj/fk0dRE0o/9P+vnSCU2P/gLgXgATUvo/05eVPlyGrgVgOqHdYL2nn38z9DK2r9P6vi9CWzzpiH6M43p//hzA/JSyvfVT8v9MozdVSMmDDos1AaDN7WiEdsM21uI4aWXgl3wv0judYRjGdUhbZvhb0CYU1nsrjbyQtuT5RcJ6cplS6J7YVdAmvW7zVhp76F7St6FNll7t0DEEtAWQ1vVRbh20G6SFTsjBMIMVjsFmGIZhGIZhmAGEY7AZhmEYhknlAegL7fTBRtjLbc4wUsMGNsMwDMMw3cg09EQIsdFhURhmUMIx2AzDMAzDMAwzgHAMNsMwDMMwDMMMINKFiIwZM0ZMnjzZazEYhmEYhmEYySkvLz8hhBibul06A3vy5MnYtSuTlVaZ/lJTU4OZM2f2XZAZ1HA/qwH3sxpwP8sP97G7ENHHVts5RISxzZQpU7wWgXEB7mc14H5WA+5n+eE+9gdsYDO2OXLEaoVgRja4n9WA+1kNuJ/lh/vYH7CBzdhm1KhRXovAuAD3sxpwP6sB97P8cB/7AzawGduEQiGvRWBcgPtZDbif1YD7WX64j/0BG9iMbXJy+PRRAe5nNeB+VgPuZ/nhPvYH3AuMbfLz870WgXEB7mc14H5WA+5n+eE+9gfSpelj3KO9vR1jxozxWgzGYbif1YD7WQ24n70jEAigqakJ0WjU0ePEYjEcP37c0WPITl5eHgoKCjB27FgUFBTYq2OAZWIUgi/SasD9rAbcz2rA/ewNgUAAx44dw2mnnYbCwkIQkWPHisfjyM3Ndax+2RFCIBaLob29HQ0NDTjllFNQUlKSdT0cIsLYprGx0WsRGBfgflYD7mc14H72hqamJpx22mkYNmyYo8Y1AHR2djpav+wQEfLz8zFy5EiMHz8en376qa16PPNgE9GzAC4D0CSEONNiPwH4JYC/BxACcIMQYre7UjK9MXXqVK9FYFxg0pTPoTOW8FoM1yAC8nPV8z2wPsuPEAKTpkxCNO5siIKfyKEc5OZ4782NRqMoLCx05Vh2QxqYnhQWFiISidj6rZchIusA/ArAf6fZ/1UA0/TXFwA8rr8zPqG6uhplZWVei8E4xMETQazbcRA1Hx9DcXGx1+K4ysTRw3DTF6dg/MhhXoviGqzPcrPj8A68fvB1HDp+SCl9zsvJw6zRs7Bs5jIU5rlj4KbDac+1QTgcxrBh6ly7nKQ/feaZm0YI8Q6Ak70UWQLgv4XGTgClRPRZd6RjMoEHY3lJJAT+8091aGwOKzUYGzR8GsKvtu6DEMJrUVyD9VleDrUdwou1L6I10qqcPscSMVQdr8LGfRu9FsU12Lj2B35+DnoagEOm7436th4Q0a1EtIuIdh09ehQnTpzA0aNHcfjwYTQ3N2P//v0Ih8OoqalBIpHA7t1apEl5eTkAYPfu3UgkEqipqUE4HMb+/fvR3NyMw4cPw6ivvr4e7e3tqK2tRSwWQ1VVVbc6jPc9e/YgEomgrq4OgUAADQ0NaGpqQlNTExoaGhAIBFBXV4dIJII9e/ZY1lFVVYVYLIba2lq0t7ejvr7el23asWOHdG2SsZ/stGlHRTVOtocRCodwsrkZHZEOdHR0IBqNIhgKIp6Io629DQICra2tAIAW/b21tRUCAm3tbYgn4giGgohGo+jo6EBHpAOdnZ0IhUOIxbVJJAkhEAgEutVhvAfaAkgkEggGg4jGYgiHw4h0RhDpjCAcDiMaiyEYDCKRSCDQlqaOQAAJIdDe3o5YPIZQOITOzs4+23S8LYJtf93l634ayHNv27Zt0rVJxn6y06Y3d72Z1IWWlhYEg0HEDH2KRBCJaPoUM+tTUidbur0HAgEIQ59iMYRCuj51mPQpGEQ8HkdbWxuEMF8jWrquEUKgra0N8Xhc02/jGtGhXyNCoeREM9HtGtFTHuMa0Vubak/UetpP8XgckUgE8Xgc4XAYQojkgjDBYLDbeygUQiKRQEdHR/J30WgU0Wg0WUdHRwcSiYRlHcFgEKFQCEIIhMPhbnV0dnais7MTsVgsWYchT6ocwWAwWYchTywWS9ZhlsfpNhl1eNEmI6Y93TUiHeSlh4aIJgP4fZoY7N8D+FchxF/0738C8EMhxK7e6pw/f77YtavXIgzD9EHDpyE88Gq112J4zsNXzsZnijmekRnc/PHjPyrlwbViVMEo/OT8n3h2/A8//BBnnHGGZ8dn7NNX3xFRuRBifup2P6fpOwxggun7eH0b4xPKy8sxb948r8VgHECg68a7pbUVpXqKIpkn/0Xj6kzktIL1WV6663MLSktKQUTIIz+bAPZJiATiIu61GJ4RDAYxfPhwr8VQHj9r12YAK4joN9AmN7YKIY56LBNjggdjNTCM6wmjhmH15bM8lsY57vmfv6EpYG+2uAywPqtBaUkpAGDRhEW4YtoVHkvjDJ+GP8Wqd1d5LYZnuGlc33zzzfjNb36DQCDQY4n2t956C5deeik2btyIJUuWAADuvPNOHDhwAL///e+T5Q4dOoSVK1firbfeghACX/rSl/Doo49i4sSJWcnS2NiIf/u3f8OuXbtQVVWFcDiMgwcPYvLkyd3KPfroo3jmmWdQVVXl6LLynrmjiOhFAH8FcDoRNRLRTUT0bSL6tl7kdQAHAOwD8BSA2z0SlUmDEc/GyIc5csyIbVYRdaY4sj7LjDkU1IhlVg2hkDYbMcxuUFFRgbKyMktDtaKiAgAwd+5cAMD+/fvxxBNPYPXq1ckyoVAIixYtQm1tLdavX4/nn38edXV1uPjii5Nx05myb98+vPTSSxg5ciQuuOCCtOWWL1+O48ePY/369VnVny2eebCFENf2sV8A+I5L4jA2mD59utciMC5QNLwIgJYfmpEX1mc1KCoy9JkVWlbcyoMdi8VQXV2Nm2++2XJ/RUUFRo8ejQkTtGjfRx99FGVlZZg/vytc+amnnsKBAwfw0UcfJXPxn3XWWZg2bRqefPJJ3H333RnLc+GFF+LYsWMAgKeffhp/+MMfLMsVFhbi+uuvx5o1a3DjjTdmXH+2+DlEhPE5DQ0NmDZtmtdiMA5g9vWEw2Fl4/kUytLH+qwIquqz31Ju3rTufcfqjicSyLUR+vDMDZ/PqnxNTQ0ikQjOPvtsy/0VFRXJfZFIBBs2bMD999/frczmzZuxYMGCbgtdTZkyBeeffz42bdqUlYGdTbjHNddcg0ceeQTvvvsuzjvvvIx/lw3yzlhiHOeUU07xWgTGBYYMHQoAIMju8ZK9fb3D+qwGQxXQZ9W98zkutb+yshIALA3sYDCIurq65L6dO3eipaWlR+hGdXU1zjyzRyI5zJo1CzU1NQ5IrTFnzhyMGDECW7ZscewYbGAztmlpafFaBMYFYlF1llVWGdZneTHHH0dZn6XHLW99RUUF8vPzLQ3kyspKJBKJbgY2EeGss87qVu7kyZMYOXJkj9+PGjUKzc3NzggOzdtdVlaGnTt3OncMx2pmpMetOC/GfcwX6Bw9NZ/sTiGr9qk0MYr1WV7M57GTWRP8gpV3XiVdduvhRGVlJWbNmoUhQ4b02GdMcDQM7CNHjqC4uNiyrFeMHTsWR44ccax++TWNYRiGYRiGGVCqqqowe/Zsy33vv/8+iouLk5OnOzo6kuFJZkaOHGnpqU7n2R5ICgsLEQ6HHaufJzkytuno6PBaBMYhzL6ehMILsPhsXpSjsD6rQSKh6bPqccpek+2EwmyIRCKWxuxAEgwG0dzcjDFjxvTYF41GsWXLFixatCj5xGT06NGWYWizZs1CdXXPVYNramowc+bMgRfcxMmTJy3lHyjYg83YprS01GsRGBfIy8/3WgTGBVif1SCf9Vl68vKc950WFhaiqKgI5eXlPfatWbMGTU1NWLFiRXLbjBkz0NnZicbGxm5lL7/8cuzcuRMHDhxIbquvr8eOHTtw+eWXO9cAAAcPHsTpp5/uWP1sYDO2MfJNMnLTGdFWN5Td3yV7+/qC9VliTE9iIkl9lveMl7ltmeDGRNacnBzcfvvteOedd7B06VK8+OKLeOaZZ3DVVVfh3nvvxZ133olLLrkkWf7CCy8EALz33nvd6rnlllswefJkLFmyBJs2bcLmzZuxZMkSTJgwAcuXL+9Wtr6+HkTUbaGaVF5++WW8/PLLScP/jTfewMsvv4zt27d3K9fS0oK9e/cm5XICDhFhbJPtMqbM4KSwsNBrERgXYH1WA9Zn+XFrIuHDDz+MSZMm4YknnsDGjRuRl5eHOXPm4IUXXsDSpUu7lZ08eTLOOeccvPrqq7jyyiuT24cPH46tW7di5cqVuO666yCEwCWXXIJHH300uSiSgbGy46mnnppWpquvvrrb99tv1xYBv+iii7Bt27bk9tdeew1DhgzBFVdcYavtmcAGNmObvXv3pp3gwAxuzLHH7cF2FI8oVjSLiDqwPsuLOYNGe3s7iouLPZTGeaziy/220IyTdHR0YNiwYY4fx/BiG0ZsX9x222246667sHbt2m7yTZw4Ea+88kqfv9+xYwfGjBmD66+/Pm2ZTPt5w4YNuPrqqzF69OiMytuBQ0QY2/BgrAbFI+QejBkN1mc1kN24ZuCKcW2HZcuWYdy4cXjsscds/X779u1YuXJlv9tXWVmJrVu3YtWqVf2qpy/YwGZsYzW5gZGFLi9AS2urh3J4i0peL9ZnNWhpVXNBIZXyYBuhFH4jLy8Pzz33nG0D+YUXXsC9997bbzk++eQTrFu3rtvy7E7AISKMbebNm+e1CIwLlJaUeC0C4wKsz2pQWsLZYmRn+PDhXouQlgULFmDBggWeyrB48WJXjsMebMY27PFSA8ODLXveXMvV39RxerE+S4z5SYzhwZZdn1NhDzbjNmxgM7Zhj5casAdbDVif1YA92PLjZw+2SrCBzdimqqrKaxEYhzB7bgOBAAD580Qr5tDrAeuzvJi9t4Y+y4xq3vlUQqGQ1yIwYAOb6QezZs3yWgTGBYpGjPBaBFdQe0hmfVaFEbo+y7wYi8xtywTOde4P2MBmbLNv3z6vRWAcwhytGOJ4PiVgfZYXswdb1fhclTICdXR0eC0CAzawmX4wfvx4r0VgXKCgsED7oLZTSHpYn9WgoEDTZ9W9vDLj1kqOTO+wgc3Y5sSJE16LwDiE2dnT2dnpnSAeo5DTi/VZEVTVZ5WyiMRiMa9FYFALdWIAACAASURBVMAGNtMPioqKvBaBcYG8XC1dvuweL9UnRrE+q0Fenq7PEp/vsl+r+iInh007P8C9wNgmGo16LQLjAgmR8FoExgVYn+XFHH+cSLA+y45K8eZ+hg1sxjZ8oZaXbo9T9Y8SO7zSotJjZdZnRhYsvfPqqDLjE9jAZmwzbNgwr0VgXCA3N9drERgXYH1WA9Zn+XEzROTmm29GUVGR5Q36W2+9BSLCpk2bktvuvPNOXHbZZd3KHTp0CFdddRVKSkpQXFyMK6+8Eg0NDVnL8vLLL+PrX/86Jk2ahMLCQpx++um455570NbW1q3co48+itmzZzvuVGADm7HNyZMnvRaBcYhukxyjak6KAtSa5Mj6rAbGJEfV4pRVehrl5iTHiooKlJWVWRr1FRUVAIC5c+cCAPbv348nnngCq1evTpYJhUJYtGgRamtrsX79ejz//POoq6vDxRdfnHVKyTVr1iA3Nxc/+9nPsGXLFtx22214/PHH8eUvf7mbMb18+XIcP34c69evt9HizMlztHZGasaNG+e1CIwLGGm9GLlhfVYD1mf5cStNXywWQ3V1NW6++WbL/RUVFRg9ejQmTJgAQPMcl5WVYf78+ckyTz31FA4cOICPPvoIU6dOBQCcddZZmDZtGp588kncfffdGcvz6quvYuzYscnvF110EUaNGoVvfetb2LZtGxYtWgRAW4jn+uuvx5o1a3DjjTdm3e5MYQObsc3Bgwcxc+ZMr8VgHCYUCmFE0Qjp/V2qh22yPsuL2XsbCoW01RwlVuhB4Z3/9T86VrWIxwE7oUBLf5tV8ZqaGkQiEZx99tmW+ysqKpL7IpEINmzYgPvvv79bmc2bN2PBggVJ4xoApkyZgvPPPx+bNm3KysA2G9cGn//85wEAhw8f7rb9mmuuwSOPPIJ3330X5513XsbHyAYOEWFsM2PGDK9FYFyA07epAeuzGrA+y09OrjumXWVlJQBYGtjBYBB1dXXJfTt37kRLSwsuuOCCbuWqq6tx5pln9vj9rFmzUFNT028Zt2/fDgA444wzum2fM2cORowYgS1btvT7GOlgA5uxjaFcjHyYY48DrQEA8mcRGRReLwdhfZYXc9q2QCDgoSTeoVIMdjwed+U4FRUVyM/PtzSQKysrkUgkuhnYRISzzjqrW7mTJ09i5MiRPX4/atQoNDc390u+w4cP4/7778eXvvSlbmEpgDYRtKysDDt37uzXMXqDDWzGNsbEBUZuSkpKvBaBcQHWZzVgfZYfY3Ewp6msrMSsWbMsY76NCY6GgX3kyBEUFxe7Fh/e3t6OJUuWIC8vD88995xlmbFjx+LIkSOOycAGNmOb8vJyr0VgHMLs7WlpbfVQEvewjMFWKI0I67MatLS2AFDviY1KuhyLu5NFpKqqCrNnz7bc9/7776O4uBjTp08HAHR0dGDo0KE9yo0cOdLSU53Os50J4XAYX/va13DgwAG8+eabGD9+vGW5wsJChMNhW8fIBJ7kyNhm3rx5XovAuEApe7yUgPVZDUpLSr0WgQGynlCYDW4YdsFgEM3NzRgzZkyPfdFoFFu2bMGiRYuS6ftGjx6NlpaWHmVnzZqF6urqHttrampsTbqORqO46qqrsGvXLrz11ltpbwAAzYi3kn+gYA82Y5vdu3d7LQLjAq26B1s1jxegVhYR1md5MT+RUkGfrVZyVCkGO9v80XYoLCxEUVGR5ZOvNWvWoKmpCStWrEhumzFjBjo7O9HY2Nit7OWXX46dO3fiwIEDyW319fXYsWMHLr/88qxkSiQS+OY3v4mtW7di48aNWLBgQa/lDx48iNNPPz2rY2QDG9iMbebMmeO1CIwLFJcUey0C4wKsz2pQXMz6LDturMqak5OD22+/He+88w6WLl2KF198Ec888wyuuuoq3HvvvbjzzjtxySWXJMtfeOGFAID33nuvWz233HILJk+ejCVLlmDTpk3YvHkzlixZggkTJmD58uXdytbX14OIui1UY+Y73/kOfve73+F73/sehg8fjp07dyZfqYZ9S0sL9u7dm5TLCdjAZmxTW1vrtQiMQ5jDFdvb2wGokEVEbVif5cUcf2zos8zI7J3PhI6ODleO8/DDD2Pt2rX44IMPcNNNN2HlypVoamrCCy+8gF/+8pfdyk6ePBnnnHMOXn311W7bhw8fjq1bt2L69Om47rrr8M1vfhNTpkzB1q1be6SUNDzzp556qqU8b7zxBgDgpz/9Kc4999xur6effrpb2ddeew1DhgzBFVdc0a//oDc4BpuxzZQpU7wWgXEBN7whfkD2G4i+YH1WA0OfrcIoZEHmtmWC1WRCJzC82LfffntG5W+77TbcddddWLt2bbdxZeLEiXjllVf6/P2OHTswZswYXH/99Zb76+vrM5IDADZs2ICrr74ao0ePzvg32cIebMY2Tqa3YfyDW94QP6JQ4gHWZ0VQWZ9VobOz02sRLFm2bBnGjRuHxx57zNbvt2/fjpUrV/bb6VNZWYmtW7di1apV/aqnL9iDzdhm1KhRXovAuMCQfC1vqdo+IflhfVYDIw+x6mEUMpOX50/TzshJbXdC9QsvvDAgcnzyySdYt25dt+XZncCfvcAMCkKhkO08lYy/MXtu4/E48vPzvRPGU9RxYbM+q4Gq+qxSHuxEIuG1CGlZsGBBn9k9nGbx4sWuHIdDRBjbGPktGckxHF2SxzWqHrfJ+iwvVinqZPZgy9w2ZvDAV1TGNip6QVQkh/gyoQKsz2rAN1Lyo7qzwC+wpjG2USHdk6qYPV7GsruyX7Kt2qfQU2XWZ4kxh0fEYu4so+0lVh5slRaa8XOIiEqwgc3YxsklRhn/YEyKYuSG9VkNWJ/lx6+THFWDDWzGNqkrIzHyYPbcdoTVTeuljs+L9VkVkmn6ZH8klYJKkxz9mqZPNdjAZmzjdIobxh8MGz7caxEYF2B9VoPhrM/SU1BQ4LUIDNjAZvpBdXW11yIwLtDe1gZA+iQilh49hZxerM8SY44/bjP0WWYXtsRNy4RwOOy1CAzYwGb6QVlZmdciMC5QXFzstQiMC7A+qwHrs/z0d6VDZmBgA5uxTXl5udciMA5hdty2tLYCkNzjBfnb1xesz/Ji9mC3tLZ4KIk7qJ5FJBgMei0CAzawmX4wb948r0VgXKC0pMRrERgXYH1Wg9KSUq9FYByG4+z9ARvYjG3Y4yUv5hn3hgdbdqxizFXyerE+q4HhwVbtiY1KuuymB/vmm29GUVGRZe7tt956C0SETZs2JbfdeeeduOyyy9LWt3jxYhAR7rvvvqxlaWxsxB133IFzzz0Xw4YNAxGhvr6+R7lHH30Us2fPdjxfuKcGNhEtJqKPiGgfEf3IYv9EInqbiCqI6G9E9PdeyMlYwx4vNWAPthqwPqsBe7Dlx00PdkVFBcrKyixXCK2oqAAAzJ07FwCwf/9+PPHEE1i9erVlXS+++CKqqqpsy7Jv3z689NJLGDlyJC644IK05ZYvX47jx49j/fr1to+VCZ4Z2ESUC2AtgK8CmAngWiKamVLsPgAvCSHOBnANgMfclZLpjT179ngtAuMCgbYAAAWyiFigUhYR1md5MT+RCgQMfZZXoS298wrpcigUcuU4sVgM1dXVOPvssy33V1RUYPTo0ZgwYQIAzXNcVlaG+fPn9yjb3NyMlStX4uc//7lteS688EIcO3YMr7/+Oq6++uq05QoLC3H99ddjzZo1to+VCV4u93MOgH1CiAMAQES/AbAEQI2pjABgTHkuAXDEVQmZXpk+fbrXIjAuUDS8CID8ma9kb19fsD6rQVFRkdciOM5guHlY8acVjtUthLD1H/zqkl9lVb6mpgaRSKRXA9vYF4lEsGHDBtx///2WZX/4wx/izDPPxLXXXoulS5dmJ7iOlRc9Hddccw0eeeQRvPvuuzjvvPNsHa9PeRypNTNOA3DI9L1R32ZmNYBlRNQI4HUAd7gjGpMJDQ0NXovAOITZ2cM5VdWA9VkNWJ/lJyGcjS02qKysBABLAzsYDKKuri65b+fOnWhpabEM3fjLX/6C//7v/8batWudFdjEnDlzMGLECGzZssWxY/h9kuO1ANYJIcYD+HsAzxNRD5mJ6FYi2kVEu44ePYoTJ07g6NGjOHz4MJqbm7F//36Ew2HU1NQgkUhg9+7dALom9ezevRuJRAI1NTUIh8PYv38/mpubcfjwYRj11dfXo729HbW1tYjFYsk4IaMO433Pnj2IRCKoq6tDIBBAQ0MDmpqa0NTUhIaGBgQCAdTV1SESiSQfyabWUVVVhVgshtraWrS3t6O+vt6XbcrPz5euTTL2k502fVz/MWLxGELhEHJyctAR6UCgLTCo29RXP8VjMbS1t0FAoFWf2FlTUzOo25RNP0WjUenaJGM/2WnTxw0fA9DCQ/Lz8xEMBhEOhQd1m3rrp+NNxxGJRBAOhxGLxRAMBhFPxD1tUzweRyQSQTweRzgchoBAPB4HAMTisW7v8XgcQgjEE9p7IpHo9jLvs6ojh3K0OvRjZFKHgEhOjjS/CyEQDoeRSCTQ0dGBWCyGzs5OdHZ2ory8HPn5+TjjjDO0NgmRDE/561//ikQigTPOOAMA8M4774CIMH369OR/EY1GEQwGceutt+Luu+/GpEmTuk08TJUnFAol5THXYcgTi8XQ0dGBRCKRXC7ekCe1TZFIBGVlZXj33Xe7tSkajXbvJyGSdaU799JBwqMgQyI6F8BqIcRX9O/3AIAQ4mFTmWoAi4UQh/TvBwAsEEI0pat3/vz5YteuXY7Kzmg0NDRg4sSJXovBOED5x8147O19ADSPV2FhIeZMKMUdl0zzWDLneOTNWtQebeu27XuXno6Z49RYmIP1WV5+W/tb/PnwnwF06fPV06/GRRMu8lgyZxBC4I6tPR94ZxsCMZB8+OGHSWMTcDZEJJFIZBUuYZDt/3PxxRejpaUlOZmxW12/+hXuuOMOfPjhh5gxYwbuuusurF+/Hi0t3fOwP/TQQ3j22WdRXV2NwsJCAFqIz49//GM89NBDWbfB4Omnn8Ytt9yCgwcPYvLkyZZlrrzySuzduxcffPBBr3Wl9l0qRFQuhOgRWO6lB/t9ANOIaAoRDYE2iXFzSpkGAJcAABGdAaAAwHFXpWTSUlBQ4LUIjAvk5GqXiUEQ1sj0A9ZnNTAMr8EQp8z4m6qqKsyePdty3/vvv4/i4uLk3I6Ojg4MHTq0W5mGhgb89Kc/xYMPPohIJIKWlpakAW58Nzz0TlBYWOhoyJRnkxyFEDEiWgHgTQC5AJ4VQlQT0U8A7BJCbAbwPQBPEdFKaGGhNwivXO4MoxSsZoBauXMZhnEPJ73p0WgU+fn5jtUPaKEWzc3NGDNmjOXxt2zZgkWLFiVv6EaPHt3De33gwAF0dHRg2bJlPepYs2YN1qxZg4qKCsyZM8eRNpw8edJS/oHCyywiEEK8Dm3yonnb/abPNQDOd1suJjM6Ojq8FoFxgURci4mT3eOl2sIbqbA+y4v5RtHpxTX8QLprld3sGoMNN/q4sLAQRUVFlgtUrVmzBk1NTVixoisMZsaMGejs7ERjYyPGjx8PQJto+Pbbb/f4/cUXX4xly5bhpptuwtSpUx1rw8GDB3HOOec4Vr+nBjYzuCkt5QULVCDPYU8I4w9Yn9XAac8m4z15ec6bdjk5Obj99tvx7//+71i6dCm+9rWvIRQK4Y033sArr7yCO++8E5dcckmy/IUXXggAeO+995IGdmlpKRYuXGhZ/6RJk3rsq6+vx5QpU7Bq1aq0i9W8/PLLALomIr7xxhsYO3Ysxo4di4su6ppz0NLSgr179+L73/++neZnBBvYjG2OHTuG4mI1JoCphjkQqzMSQb4LF2yvsVwqXaEIEdZneTF7sCORiCsGGOMd0WgUubm5jh/n4YcfxqRJk/DEE09g48aNyMvLw5w5c/DCCy/0yGU9efJknHPOOXj11Vdx5ZVX2jqekQnk1FNPTVsmdYGZ22+/HQBw0UUXYdu2bcntr732GoYMGYIrrrjCliyZwFrG2IYzDqiBMbObkRvWZzVgfZafIUOGuHIcw4ttGLF9cdttt+Guu+7C2rVrMWzYsLTl0k2127FjB8aMGYPrr78+69+msmHDBlx99dUYPXp0RuXt4Pc82IyP2bt3r9ciMA5hvkS1B9s9k4NxD9ZnNWhv1/RZ9jkHVu1TZdKyX+dTLFu2DOPGjcNjjz1m6/fbt2/HypUrezXOM6GyshJbt27FqlWr+lVPX7AHm7FNuvQ8jFwUj+CwARVgfVYDDgOSn/4aoE6Rl5eH5557LrlIT7a88MILAyLHJ598gnXr1jk6gRJgDzbTD6xmDzPy0aKvaij75Hur5qkUg836LC/mx+YtrVqqNBWyaaSiSpZfI1bZjyxYsCDjkBKnWLx4Ma699lrHj8MGNmObefPmeS0C4wKlJSVei8C4AOuzGpSWcLYY2Rk+fLjXIjBgA5vpB+zxkhezoyfpwZY8ZlN6F30fsD7Lizn22PBgS49VViBFYrD97MFWCTawGduwx0sN2IOtBqzPasAebO9wK0SFPdgDR3/6jA1sxjZVVVVei8A4hPmiEggEPJTEPSxjsBXxeAGsz6pg6LPsT6T81r78/HyEw2FXjhUKhVw5jgqEw2EMHTrU1m/ZwGZsM2vWLK9FYFygaMQIr0VgXID1WQ1GsD57wmc+8xkcPnwYoVDIcU825zrvH0IIRKNRnDx5Eo2NjbZzZXOaPsY2+/btw4wZM7wWg3GYUDCIoqIiJUOUFUk6AID1WRWChj77zMM70PgtD7aRHvHIkSOIRqOOHisajSI/P9/RY8hOXl4eCgoKMHHiRBQUFNirY4BlYhRi/PjxXovAuEBBoXZxkXs4Vn6OI+uzIiSNBcXPdy8oLi52JQ95e3s7ioqKHD8O0zscIsLY5sSJE16LwDiE2c/T2dnpmRyMe7A+y4s5JEFpfVbkiRTrsj9gA5uxDd8hq0FerhoPumR/ZN4XrM9qkJeniD4r/EiKddkfsIHN2MbpODLGO8yxxwmR8E4Qj1HE4QWA9VlmzLHHiYS6+qwKrMv+gA1sxjZ8oVYEfWxW2CGkBKzPaiH7ExvZ29cbrMv+gA1sxjbDhg3zWgTGIcwer9zcXA8l8Ra3FobwA6zPaqC0PivyTIp12R+wgc3Y5uTJk16LwLhAZ1SbFCW7R0h1Dz3rs7xYTXJUMUZZFQObddkfsIHN2GbcuHFei8C4gN0coMzggvVZDVif5Yd12R+wgc3Y5uDBg16LwDiFydFjLLsru8PLeql0dWB9lhez51aVZbRV9NAbsC77AzawGdvwqm9qwCmf1ID1WQ1Yn+WHddkfsIHN2KaystJrERiHMHtuA60Bz+TwGoXmOLI+K0IgoOmz7HMqrFBl0jLrsj9gA5uxzdy5c70WgXGBkpISr0VgXID1WQ1Yn+WHddkfsIHN2Ka8vNxrERgXaGlt9VoEV7AO2VTD4wWwPqtCS2sLAEU92IroM+uyP2ADm7HNvHnzvBaBcYFS9ngpAeuzGpSWlHotAuMwrMv+gA1sxja7d+/2WgTGIcyhiq26B1v2Wfmyt68vWJ/lxRx73KrKEykLD70qMdisy/6ADWzGNnPmzPFaBMYFikuKvRaBcQHWZzUoLmZ9lh3WZX/ABjZjm9raWq9FYBzCHKvY3t7uoSTeoojDCwDrs8xY6bPsT2xkb19vsC77AzawGdtMmTLFaxEYFxg2bJjXIjAuwPqsBqzP8sO67A/YwGZsc+TIEa9FYFygo6MDgPVKh7KjkAOb9VkRDH2WHRWzpBiwLvsDNrAZ24waNcprERgXGJI/BIACS6VL3r6+YH1WgyFDdH1W2ACVHdZlf8AGNmObUCjktQiMQ5hjj+PxuHeCMK7B+iwv5hhslfVZlTzYrMv+gA1sxjY5OXz6KIEiji7VPXqsz4xMqKzPrMv+gHuBsU1+fr7XIjAOYfbz5JC6lwmVsoiwPsuLOf8zG1/yw7rsD1jTGNuonL5NdswDciweA6CMI7sbqixMAbA+q0Ispuuz7JMOLJqnij6zLvsDNrAZ24wZM8ZrERgXMCZFMXLD+qwGrM/yw7rsD9jAZmzT2NjotQiMC3SE9TR9knu8JG9en7A+y4t5cl9X2k31TnhVJjmyLvuDfhvYRJRLRA8SURUR7Saifx4IwRj/M3XqVK9FYFxg2PDhXovAuADrsxoMZ32WHtZlfzAQHuwfAfgxgHEAJgJ4mIhuHYB6GZ9TXV3ttQiMQ5j9PO1tbQDk9/BaNU8Nf5cG67MatOn6LDsqeugNWJf9wUAY2LcC+D2AUwF8FsAf9G2M5JSVlXktAuMCxcXFXovAuADrsxqwPssP67I/6JeBTUT5AMYDWC+EiAshogDWA/i7gRCO8Tfl5eVei8A4hcl129La6p0cHqNI0gEArM+q0NLaAkCFORU926dKDDbrsj/orwd7BLQnq82mbc0A+BZZAebNm+e1CIwLlJaUeC0C4wKsz2pQWlLqtQiMw7Au+4P+Gthy3wIzvcJ3yWpgeLBlV3Yrh54qHi+A9VlmzPmfkx5s6TW6J6rkwWZd9gd52f6AiJ41fR0K7WHyD4homb7ttIEQjPE/fJesBuzBVgPWZzVgD7b8sC77g6wNbAA3WGz7Ssp3NW4TFWfPnj2YPXu212IwDmD23AbaAigeUSx9GhEVPXpmWJ/lpZs+BwJKTHRUWZ9Zl/1B1ga2EIIXp2EAANOnT/daBMYFioYXeS0C4wKsz2pQVMT6LDusy/6AjWXGNg0NDV6LwDiEOVQxHA57J4iLWDroFXoWx/osL+bYY2X0WWEPNuuyP8jawCaiA0R0uRPCMIOLU045xWsRGBcYMnQoAPknOaoO67MaDDX0WfaQL8nb1xusy/7Ajgd7MgB+xsSgpaXFaxEYhzB7sGPRqHeCeIxCDmzWZ0WIqqzPimQRYV32BxwiwtimoKDAaxEYF8jJ1S4TCjuElID1WQ1ycnR95mdS0sK67A/sGtgDchtIRIuJ6CMi2kdEP0pT5htEVENE1UT064E4LsMwDMOogkr53HuD/wfGTeyk6QOADUS0oZf9QgjRa91ElAtgLYAvA2gE8D4RbRZC1JjKTANwD4DzhRDNRPQZm/IyDtDR0eG1CIwLJOIJAPJ7vFSO2QRYn1UhkUh4LQLjMKzL/sCugf0XAAf6eexzAOwTQhwAACL6DYAlAGpMZW4BsFYI0QwAQoimfh6TGUBKS3nBAlkx+3ny8vM9k8NrFAnZBMD6LDNmz22+wvqsCqzL/sBuiMiTQogbe3tlUMdpAA6Zvjei5yqQ0wFMJ6IdRLSTiBZbVUREtxLRLiLadfToUZw4cQJHjx7F4cOH0dzcjP379yMcDqOmpgaJRAK7d+8G0LWc6O7du5FIJFBTU4NwOIz9+/ejubkZhw8fhlFffX092tvbUVtbi1gshqqqqm51GO979uxBJBJBXV0dAoEAGhoa0NTUhKamJjQ0NCAQCKCurg6RSAR79uyxrKOqqgqxWAy1tbVob29HfX29L9u0f/9+6dokYz/ZaVNjYyNi8RhC4RBCoRA6Ih1oaWke1G3qq5+i0Sja2tsgINCqLw+/t27voG5TNv1UU1MjXZtk7Cc7bTp65CgAbZGZcEcYwWAQoWBoULepr36KdEQQDocRi8UQDAaTxxvMbcq0n44dOyZdm/zcT+mgbGfVElECwDIhRL/ioYnoKgCLhRA369+vA/AFIcQKU5nfA4gC+AaA8QDeATBbCJF2iuz8+fPFrl27+iMakyGRSCSZ8omRiz9Uf4Lfvq/d/yYSCeTk5OCSM07B0i9M9Fgy53jmLwfx7r4T3bbdcP5kXDBtrEcSuQvrs7w8XvU4qk9UA+jS5+VnLcfssfKu9nffX+5DS6S7qfCT83+CUQWjPJLIPViX3YWIyoUQ81O3e5lF5DCACabv4/VtZhoBbBZCRIUQBwHsBTDNJfmYPti7d6/XIjAu0B5sByB/FhHJm9cnrM8SY/Kjtbcb+qzeGa9Kmj7WZX9gx8B+AMDfBuDY7wOYRkRTiGgIgGsAbE4psxHAQgAgojHQQkb6G/vNDBCzZ8vr/WC6KB5R7LUIjAuwPqtBcTHrs+ywLvuDrA1sIcQDQogP+ntgIUQMwAoAbwL4EMBLQohqIvqJaaXINwF8SkQ1AN4G8AMhxKf9PTYzMBhxSIx8mP08LXo8suz+LiuHniIOLwCszzJjnuTY0qrGIiQqeugNWJf9QdZZRIjoAQBfF0KcmWb/36AZyw/1VZcQ4nUAr6dsu9/0WQC4W38xPmPevHlei8C4QGlJidciMC7A+qwGpSWcYUJ2WJf9gZ0QkSsAvNXL/rcAXGVPHGYwwXfJ8mL23BoebBVRyIHN+qwIhgdb+rz2Fu1TZaEZ1mV/YMfAngKgtpf9H+llGMnhu2Q1YA+2GrA+qwF7sOWHddkf2M0i0puGjgSQa7NeZhBh5IZk5CYQCABQM4uIKlkHANZnmTF7bg19ltyBrTSsy/7AjoFdDW3FxR6QNqvgcvTu4WYkYdasWV6LwLhA0YgRXovAuADrsxqMYH2WHtZlf2DHwH4GwAIiWkdEyRUY9M/PAligl2EkZ9++fV6LwDhGl8crFAwCUCBmU3YXfR+wPsuL+UlMUNdn2bHSZ1WeSLEu+4Oss4gIIZ4ioosAXA/gOiI6qu/6LLSHTr8VQjw+gDIyPmX8+PFei8C4QEFhgdciMC7A+qwGBQWsz7LDuuwPbMVgCyGWQVsY5vcAWvXXZgDfEEJcO3DiMX7mxIkTfRdiBiVmR09nZ6d3griIZR5s98XwDNZneTHHYBv6LP0TKcnb1xusy/4gaw+2gRDiJQAvDaAszCCjqKjIaxEYF8jL1S8T6o5XSsD6rAZ5eZo+q2yAyg7rsj+wm0UkCRGN0ZcxZxQjGo16LQLjEGbPbUIkPJPDcxRyYbM+q0Eioa4+q5IHm3XZH9gyH+QsnwAAIABJREFUsIloHBGtJ6IWAMcAHCOiZn3i42kDKyLjV1S+UCuFPibJ7u+SvX19wfqsFqpP6pUZ1mV/YGep9IkAdgI4FUAltLR9ADAT2sTHLxPRAiHEoQGTkvElw4YN81oExgVyczmtvQqwPsuLOXuGyvqsShYR1mV/YMeD/SC0xWQuE0LMFUJcp7/mAfg/AEbpZRjJOXnypNciMC7QGdUnRcnu8ZK9fX3A+qwG6kxaVlefWZf9gR0D+1IAjwkhXk/dIYR4A8DjABb3VzDG/4wbN85rERiHMDt6VE7rpUrMJsD6rAoq67MqsC77AzsG9kgAdb3sr0PvS6kzknDw4EGvRWAcwmxYhkIhDyXxFkWeKANgfVYFQ59lzyJi1T5VbphZl/2BHQO7EcDCXvZfqJdhJGfGjBlei8C4AKd8UgPWZzVgfZYf1mV/YMfA/h2Aq4noYSIqMTYSUTER/QzANwD8dqAEZPxLZWWl1yIwLhBoDQCQP8uGVftU8mCzPsuL2XMbCAQ8lIRxA9Zlf2BnoZkHAVwA4IcAvk9ER/Tt4wDkAtgB4KGBEY/xM3PnzvVaBMYFSkpK+i7EDHpYn9WA9Vl+WJf9QdYebCFECFqIyHIAfwAQ1F9vArgVwMVCiPAAysj4lPLycq9FYBzC7LltaW0FIH+SDdnb1xesz/JiTk/X0trioSTuIXuMeW+wLvsDW0ulCyFiAJ7SX4yizJs3z2sRGBcoZY+XErA+q0FpCecgkB3WZX/Q76XSGXXZvXu31yIwDmEOPW7VPdiyY511QB1Yn9WgNflESm4Pr1X7VFlohnXZH9hZyfH+DIoJIQQvNiM5c+bM8VoExgWKS4q9FoFxAdZnNSguZn2WHdZlf2AnRGR1yneBnhPwBXg1R+mpra3FzJkzvRaDcYiCRAjnBN9GaeggCvLz8bnq4cBxeVN8nf1JG0af7J7ze1rlCOCQAssO5+ThaLQYp116B5A3xGtpmAHGnEWkvb0dI0aMUDJGWZU82Dw2+wM7BvYU0+dRAMoBfBPAuwMiETNomDJlSt+FmEHL5S3P45ToIW3GY5RQ1D4UyC30WizHKG4P45RopNu24W2FAIZ6I5DLnBqPAztzgC+u9FoUxkGGDVPghlFxeGz2B3ayiHxsvAA06JuPmbfr+xjJOXLkSN+FmEFJfscJzbgGEE8kACgwK1/y5vVFR0cH0LgLiHV6LQozwJg9tx0dHR5K4i2qeLB5bPYHPMmRsc2oUaO8FoFxiLxYMPk5J0dxy1MR8ocMARIxIB7puzAzaBkyhEOAZIfHZn/ABjZjm1Ao1HchZlBCptn2qsy8t0Kllsfjce2Dwv0tLaYuNfpZ9idSsrevN3hs9ge28mAzDADk5PD9mbz0NLLChZ8BLv1nD2Rxh8q/HcGO/Z922/bV2afiM1PHeiSRC7z9MyCqDcZd5ggb2CqgYpo+VeCx2R/YSdP3rOnrUGhX4x8Q0TLTdiGEuKm/wjH+Jj8/32sRGIcwOzENT1AitwAYM80jiZynrWgojuV3nwAWLJoAjDnVI4lcICe36yMPykqgcj+r8jSOx2Z/YMeDfYPFtq+kfBcA2MCWnPb2dowZM8ZrMRiHSQiBXABC8keuajq8uhodi8W0+FxFjBBVMfpZ5RAK2eGx2R9kbWALIdS9/WW6wQosL+YYbJU9XirRNfmNDWzZMGfPUHmSoypZRHhs9gc8cjK2aWxs9FoExgUSxuQ3kvtyoaRHz9SnyfRt7MGWGlXS9Cmpzzo8NvuDrEdMIjpARJc7IQwzuJg6darXIjAOIZBIfs7NU3kutOTGpikuZtjw4R4KwjiJOfZ4OPez9PDY7A/suKQmA5B3vWQmY6qrq70WgXEK04Aci8X0T+p5hFRy5ra1tXktAuMCyX6WXJ0ts4goos88NvsDuZ/5Mo5SVlbmtQiMC+QZHmzJB2Q16erUkuJi7YNKdxUKUmz0MyMtPDb7A7sGNl+BGZSXl3stAuMYZg921EM5XERFh5fJy9fS2uKhIIyTmCf3Gf2sYoyyKpMceWz2B3YN7A1EFO/lFeu7CmawM2/ePK9FYJzCNA7l5Rk5VdUbkFWitKRU/6SGEaIqXf3MyAqPzf7A7uylvwA4MJCCMIOP8vJyVmRZEd092Hl5+dInipa7deno7sEuLSnlEBEJSfVgq2BkW3noVfJg89jsPXYN7CeFEL8eUEmYQQcrsBqwB1tiTF2qgtHFcD+rAI/N/oAnOTK22bNnj9ciMA4hYJVFRG6ssg6o5MwNBAL6J4UarSBGP6sYg60KPDb7AzawGdtMnz7daxEYhyCTkZWXmwtA/qXS1aSrT4cX6dlXRSJNWUYGioo4y67s8NjsD+wY2A8A+NtAC8IMPhoaGrwWgXEKk+s2ntAMLsu8spIjfcymqU/D4bCHgjBOYl5oxuhn2fXZ+omU5Pqsw2OzP8g6BlsI8YATgjCDj1NOOcVrERjH6BqIcnL4QZe8dBkhQ4cO1T4oYoSoSrKfGWnhsdkf2Bo5iWg4ET1ARH8jonb99TciWk1EvA6rIrS0cN5cWTHbWEL3YHMWEbmJRY1852xgy0w0qkheewukfyKlw2OzP8jag01EowD8GcAZAI4DqNB3TQdwP4CriegCIcTJAZOS8SUFBQVei8A4hDkG2zCsZY/Blvz+wRpTo/lJhRoY/Sz7JEfZ29cbPDb7AztX1J8AmAFgBYBxQogLhBAXABgH4DsATgewesAkZBjGdVTx9PSF/NESVstXSt9o5WB9Zhj3sWNgXw7gaSHEY0KIuLFRCBEXQjwO4FkA/zBQAjL+paOjw2sRGIegbjEi2meVPUIqkDBCgdgYkxqjn2XXZ9nb1xs8NvsDOwb2KegKC7Fit16GkZzSUl6wQAVIf6QsFByvpDc1TSEiefn5vRRkZCFf4X5WxZPPY7M/sGNgHwNwdi/7z9bLMJJz7Bh3s7SYPNjKeLzkbl4auhodiUS0DxwiIjXJflbyfFcDHpv9gR0D+1UANxHRciJK/p6IcojoVgD/BGDzQAnI+JeJEyd6LQLjGF1GVi5PflOCwsJC/RMb2LJhzv/c1c8KosipzWOzP7Azct4P4ACAxwAcIaLtRLQdwBEAj+v7Vg2ciIxf2bt3r9ciMC4Qi2tTLQTJbWhbeeilX5jC5LYPtrdrH2Rvs4KYQyPajX6WHNkX0ukNHpv9QdYjphDiUwDzAfwrgE8BfF5/nQDwMIDP62X6hIgWE9FHRLSPiH7US7mvE5EgovnZyss4x+zZs70WgXEM01LpeVln82QGC6abpuLiYg8FYdyC+1l+eGz2B7ZcUkKIgBDix0KIWUKIYfrrTCHEfUKIQCZ1EFEugLUAvgpgJoBriWimRbkRAO4C8P/syMo4R3l5udciMA5h9tzGYsbCFOp6hFSgpdVYnII92DJj9LP0cyqsnkgpcm7z2OwPvHzmew6AfUKIA0KITgC/AbDEotyDAP4NAOed8Rnz5s3zWgTGBfLytKwDQuFHrvLS1aelJXrmAQ4RkZpkPzPSwmOzP8jawCai+zN4/UsGVZ0G4JDpe6O+zXysuQAmCCFe60OmW4loFxHtOnr0KE6cOIGjR4/i8OHDaG5uxv79+xEOh1FTU4NEIoHdu3cD6LrL2717NxKJBGpqahAOh7F//340Nzfj8OHDMOqrr69He3s7amtrEYvFUFVV1a0O433Pnj2IRCKoq6tDIBBAQ0MDmpqa0NTUhIaGBgQCAdTV1SESiWDPnj2WdVRVVSEWi6G2thbt7e2or6/3ZZt27NghXZtk7Cc7bfr00xMQQiAejyMajSKRiKMjFBrUbeqrn6LRTrS1t0FAoLW1FQBw4MDBQd2mvvpJAGhra0M8HseJTz9FZzSKT44dG9RtkrGf+tumpqYmAEAgEEBLSwuCwSCC7cFB3aa++ikYCiIcDiMWiyEYDCKRSCRjkwdrmzLtp/Lycuna5Od+SgdlO4mHiBLQniH25s4SQojcPuq5CsBiIcTN+vfrAHxBCLFC/54DYCuAG4QQ9US0DcD3hRC7eqt3/vz5YteuXoswDNMHb725GWMr13bbNvzvFmDaVQ94JJHzbKo8jM2VR7pt+1rZOPzD2ael+YUEvPFDoLm++7bFDwOjPueJOIwz/HTnT3E0eLTbtnu+cA9OK5L33P75rp/jQOuBbtu+O/e7mDpyqkcSMbJCROVCiB5zBO2GiKwEMKWXVyZX58MAJpi+j9e3GYwAcCaAbURUD2ABgM080dE/GHd1jNzEYjH9E4eIyEdXn7YG9OkzHCIiHebY40Ago2lSgx+Ly5UqMdg8NvsDu+kBTgghPu7nsd8HMI2IpkAzrK8BsNTYKYRoBTDG+J6pB5txj1mzZnktAuMCXVlE2MCWDlNc/YgRIzwUhHEL7mf54bHZH3g2yVEIEQOwAsCbAD4E8JIQopqIfkJEl3slF5M5+/bt81oExiHMoWPxpAdbbqzy5srv8epqcygY9FAOxi2Cej+rmEVEFXhs9gd2PdhXEtHnAEQABKAtMvOBEOJgNpUIIV4H8HrKtvvTlF1oT1TGKcaPH++1CIxDkMnAzsnVplNwFhG5KSgo0D5wiIjUJPuZkRYem/2BbQNbfxkIACCivQDuEUJs7K9gjP85ceIEioqKvBaDcYQuIyuRSCA3N1dJj5D0tqbppqmzs1MPB5K90Wpj9LPs+qxyHmwem/2BHQN7iv6eD2AIgJEAxgEoA/ANAL8jokuFEG8PjIiMX2EFlhmTB5s910qQjLWX/q5CbXhlVvnhsdkfZK1pvUxu/B0R/QzAewD+GQAb2JITjUb7LsQMUoTpk9B8QZIb2nK3rm8SiYT+iQ1s2TDPqTD62WrOgexkm5Z4sMJjsz8Y0EmOQogQgEcAcJCXAnQNyIx0WI5Dcg/ICtob3RqthunBqIKKNxAGPDb7gwHPIiKEWC+EuHig62X8x7Bhw7wWgXEKk6dH5YFKfodXV9/m6pNZFWi0cphjj5P9zEgLj83+IKMQESLanGW9QgixxIY8zCDi5MmTGDlypNdiMI5gfqQskJsLRV286hDt7MSQ/HywL1tuOjs7kZ+f77UYjiP7JM7e4LHZH2Qag31ZlvXyFVoBxo0b57UIjEOYFTg3x7N0+Z4j/YXMdNPEafrUgNP0yQ+Pzf4gm5FzmRAiJ8MXP4NSgIMHs0p7zgwiyGRaxuNxfaPcHiE1PV6mhWZCIQ/lYNzC6Gc1z3c14LHZH6jrmmL6zYwZM7wWgXEMU8wmp/WSF9NNU1dqL/Zgy4Y5BlvlFG6q5MHmsdkfsIHN2KaystJrERinMI1DsZie8onkvlxYOehVSesFAIFAQPugUJtVwXweJ/uZkRYem/2B3CMm4yhz5871WgTGMboG5Lw8+SdEqUvXXUVJSYmHcjBuwf0sPzw2+wM2sBnblJeXey0C4xQmj1fSg61gzKb0vlyT276ltUX/JH2rlcboZ9nTb1q1T5UnUjw2+wM2sBnbzJs3z2sRGBcwPNhC8gFZTbr6tLSkVPugiBGiKsl+ZqSFx2Z/kM3spb8nolMzLCuEEL+wIxAzeNi9ezc/ipKW7h5sFcJELG8fZLc1TTdNra2tHD6gAEY/q5hFRJVJjjw2+4NsDOyl+isTBAA2sCVnzpw5XovAOARZxWCzB1tqiouL/3979x4k113lB/x7Znr0GI1GspDXayx7kS0LR44ReLTeOK5dSOEkhnXZBUWCWR4Bs2FJ4kDCVrbwJrVh2VTY4GQDASqBYs3y2iLEAcpQPIIf7GYpvJFmsBCSx7JeK400ljz2zPT0PPv2Pfnj3u571eqZEVd97+/q/L6fKpfu3Gm1zs9nps+5v/7dX8dHfjQhvkryTFaxNpfDxTbY/OhzusDo6Ch27drlOgzKQXqVQCMI0FupmJ/x8vP6IRl0rVbDxo0buUTEoPTMbSvPxnV6vfJlBpu1uRwuqsFW1b/IOxC6/Gzfvt11CFSA3t7oc6PUeIPtpdRVRX9/f3zkRxPiqyTPZBVrcznwJkfK7MyZM65DoLxo2DpshOEKD7TExxmvZMwLCwsO46A8pXfPaObZx11EfMHaXA5ssCmzLVu2uA6B8pIqyD09caHyuGD5oG/NmuiAS0RMW9PMM5nF2lwObLAps7m5OdchUAFas18eNtjme81UThuNRnxkfdB+S/JsW8d7Rjz50WZtLgc22JRZTw9/fOzypBJ5Ty48YuqJLmuszeXALFBmfX3290b2VXqbvuZMEHcRsS0pyuywrUnfS9DMs/Xf507s31MRYW0uBzbYlFmtVnMdAhUg9GSJiO3RLSOV0yAIHAZCRfElzz5eQDSxNpcDG2zKbOvWra5DoJyoXjjj5WMLan++K8npGt7kaFb695k3OdrH2lwObLAps7GxMdchUE4kVZBDT26K8l2yTR8bbMt82abPw/mAFtbmcmCDTZnt2LHDdQiUk3SL1VuJP4/Kw4JlfjI3ldP+DRuiA/OD9tuGZp49pJ78bLM2lwMbbMrs4MGDrkOgnKRvckzWbNp+uTA/o9dRMuaZmRmHcVBRmnn2eY2ydazN5WC7YlKudu/e7ToEKkClOYNN9qQuKjYNDsZHfszy+SS9e8ZgK8/+8WUXEdbmcmCDTZkNDw+7DoFykn4rNQjq0YHxGd5Oo/OlIAPA1PRUdODJ2+i+auXZOJ9n6Fmby4ENNmU2NDTkOgTKSXqJSKXS1zpL1iQ53bxps8M4qCjMs32szeXABpsy41WyZR1msD1kfjI39a5EMrNpfdB+a+bZ+gxvp/H58o4Ua3M5sMGmzHiVbJh2mME2vkTEd62ZTfNXFX7jDLZ9rM3lwAabMjtw4IDrEKgAyS4ithvsTtcP5ltNSUpAtVp1GAjlKX1PRTPPPu6a48s2fazN5cAGmzLbuXOn6xAoJ+nSW+ntdRYHFWfDwEB85EcT4quBVp7JKtbmcmCDTZmdPHnSdQiUl9RMTyMMowPjM17Gh7eMZNDz8/PRgSezfD5Jrz1u5dk4H2fom1iby4ENNmV21VVXuQ6BCtDTE79MeFywzErldO3atfERG2zLkjyTVazN5cAGmzKbmvJjP1UfKcLkOAxXeKQdHXdVMD+bm4w5qPu7W4x16Rnsuid5tr5LykpYm8uBDTZltm7dOtchUE7OK03xLKd6XLB80HqnwvxFhd9aeSazWJvLgb9pRHSBTj2WjzNC5lvNjst+zI+aYH+Ncqfx+bIPNpUDG2zKbGFhwXUIlJtUIeKMpmFJExJ6shTId8yzfazN5cAGmzLbvJkfWGCVaFKExZebHI0PbzWVvvgDhZQNmDXp/Z/74jx7+Y6UJ5MFrM3lwAabMjt79qzrEKgAzRkv828puw7AhVROFxcXHQZCRWGe7WNtLgc22JTZdddd5zoEyk0y09Mbz2D7eJOj/QmvJKfr16+PDuwP2jvptcetPJNZrM3lwAabMjt8+LDrECg3SUEOGg2HcVBRZmu1+IgNtmW1OM/Wl4hYH99KWJvLgQ02ZXbLLbe4DoHykuqxKpVKfORfwTK/ZjO1RGRwcDA6MD5k37Xy7CFfdhFhbS4HNtiU2fDwsOsQqABBEH0whfTYbrA7b+tlXTLmqWl+OIVZqR/kZp6t31PRifkL5hhrczmwwabMhoaGXIdAOZFURa5U+hxGQrlKNVmbNzV3HvCjCfFVkmeyirW5HNhgU2a8SrYr/VZqcwbb+jZ9tke3utYMtiezfD5J/z778k6FjzP0TazN5cAGmzLjVbJh2mkG29+C5QPObPqBebaPtbkc2GBTZvv373cdAhUgCALXIRSi04SX+cnc1KCnq9X4yPqg/VaN82x9l41O4/PlJkfW5nJw2mCLyF0i8qyIHBGRD3f4/odE5JCI/ExEHheRX3ERJ3V28803uw6BciLnzWD7u4uITzZu3BgdmL+q8Fsrz2QWa3M5OGuwRaQXwGcAvAHALgBvE5FdbQ/7KYA9qvoqAI8A+HixUdJKjhw54joEKkCjOYPt4ZpG+61mktO52dn4yP6ofZOeuZ1t5ZmsYm0uB5cz2LcBOKKqx1R1CcDXANybfoCqPqmqc/GXTwHYVnCMtIJt25gOu5KC3NPbGx/512CbJ0kJWLduncNAqCjMs32szeXgssG+BsCp1Ndj8bnlvBfA93KNiH4hExMTrkOg3CQNdhiG0YHxGWzra1JXs7S0FB1wiYg56f2fW3k2ruMabE9+tlmby+GyuMlRRN4BYA+Ah5b5/vtEZJ+I7BsfH8fExATGx8dx+vRpTE5O4ujRo5ifn8ehQ4cQhiFGRkYAJFvZjIyMIAxDHDp0CPPz8zh69CgmJydx+vRpNJ/vxIkTqNVqGB0dRRAErZsIms/R/PPAgQNYXFzEc889h2q1ipMnT+LcuXM4d+4cTp48iWq1iueeew6Li4s4cOBAx+fYv38/giDA6OgoarUaTpw4Ucox1et1c2OymKcsY6rNzEBV0Yg/Jj0MG6hWZy7rMa2Wp8WlRczUZqBQTE9PAwDGTp26rMe0ap4AzMzMoNFoIAgCLNXrePHFict7TBbzdIljmpycBBDd4NjT04PZ2VnMzMxc1mNaLU+1Wg3z8/MIggCzs7MIwxDHjh+7rMd0sXkaGBgwN6Yy52k54uqKTkRuB/ARVf2H8dcPAoCqfqztcXcC+BSA16rqudWed8+ePbpv374cIqZ24+PjuPrqq12HQTl44qsfx5axxwFEzXVPTy8Gbn8PdvzGfY4jy8+Pj0zg4b86ft652294GX771693FFEBhr8IPPtdAMDCwkK0fODWdwE3/abjwKibPvSjD2GpEc1cN/P80GsfwvrKeseR5eeLB7+Ivc/vPe/cu3a9C7ddfZujiIrD2lwsERlW1T3t513OYO8FcKOIbBeRNQDuA/Bo+gEi8hoAnwVwz8U011Ss1tIBMkc63ehmfImI71oZ9+RtdCKrWJvLwVmDraoBgAcA/ADAMwC+rqoHReSjInJP/LCHAAwA+F8i8rSIPLrM05ED/f39rkOgnKR7rOQT0S6LFWX0i0hdNPW2bmZlg21ZM88+3nPgyz7YrM3lUFn9IflR1e8C+G7buT9IHd9ZeFB00V566SVcccUVrsOgXKRvclT09tqfwDY+vGUko64vLWFNX98KjyULlpaW0NfX5/VHiVvH2lwOnJKizF7+8pe7DoFykl4i0tsTvUyopy2oL1rbt3GJiGk+b9Pnyww2a3M5sMGmzI4fP776g+jylKpDzZ1EzM94GR9eR6mczs3FHzmgXL9pWSvPxvm4BKaJtbkc2GBTZjfddJPrECg3qRlsjz8q3f5kbpLTgYEBh3FQntK7hTHP9rE2lwMbbMrs6aefdh0C5SS9RCQI6g4joVylZrCr1Wp8ZP6qwmvNPFuf4TX/jtsKWJvLgQ02ZXbrrbe6DoFykp65rVT8vfHNlzWbALBp06bowP60vddaefaQL5/kyNpcDmywKbPmpxmRRR1msHtsv1x0/mhlB4EUKhnz1PSUwzgoT+kLxWaerc9gd+LLBTNrcznYrpiUq6GhIdchUE7SS0R8nsE2L/U2+uZNm+MjP5oQXyV5JqtYm8uBDTZlNjIy4joEys2FM9jWZ7w8XrIJAJieno4O7E/beye9NKKVZ+Osv16thLW5HNhgU2avfvWrXYdABWjOYHMfbIuSnA4ODjqMg4rCPNvH2lwObLAps9HRUdchUF5SM16NIIgOjE/xdhqd+bncVE5rtZrDQKgorTzb/nXuvIuI+V/oCGtzObDBpsy2b9/uOgTKTWof7N5eh3FQUfr7+6MDLhExrZVnMou1uRzYYFNmZ86ccR0CFaARRp/s5+O+svZ7zSSnCwsL8ZH5QXsnvXtGM88+rlH2ZRcR1uZyYINNmW3ZssV1CJSXVB3q6fGvEHsjddHUt2aNw0CoKGuYZ/NYm8uBDTZlNjc35zoEyk3SYbd2IBDbLxc+ztCnNRqN6MD+tL130jO3rTx7yJcZbNbmcrBdMSlXPcY/eITa+d2AmpS6qEiO/GhCiKxibS4HZoEy6+vjB5BYJalZTF/WanbedMB6s5kMmkXZsPOWfEV5tv57bX18K2FtLge+olJm3NbLsqQih61m29+C5YOguR0jl4iY1sozmcXaXA5ssCmzrVu3ug6BcpM0Wa2ZTQ9vdjTfa6am7ZOb36wP2m/NPFu/56DT+NT8L3SEtbkc2GBTZmNjY65DoAKErZuijBdk1wE40WmbPrLM5236fMHaXA5ssCmzHTt2uA6BciLpD5qpVBxGQkXp37AhOvBkls8n6XsJNjTz7CH791REWJvLgQ02ZXbw4EHXIVBeUk1Wc82m8XeUzY+vo9SgZ2Zm4iM/mhBfJXm2zecZetbmcmCDTZnt3r3bdQhUgEpzBtvLDtS6JKebBgejA85gmzbYzDOZxdpcDmywKbPh4WHXIVBu0jPYdYdxUK5SF01T01PxERtsy5p5Nn+To8cz2KzN5cAGmzIbGhpyHQLlJmmyKpW++Ix/BcuXXQcAYPOmzdGBR2P2QfvPcCvPZBZrczmwwabMeJVsWKomN2ewxfzLRadtvRyEUahOM9hkmc959uWCmbW5HKxXTMoRr5Ltkg4z2GRQaplAMrPpRxPiK85g28faXA5ssCmzAwcOuA6B8tJxFxHbS0SMD29V1Wo1OvBkls8X7VvTVatVL9Ynd/ygGU8uHlmby4ENNmW2c+dO1yFQASq9vQAA9b0DNSnJ6YaBAYdxUFEGmGfzWJvLgQ02ZXby5EnXIVBukpmeRhjGR7Yb7E6jMz/flbpomp+fj4/Mj9or7euOkzyTVazN5cAGmzK76qqrXIdAuUmKck8PXyZ8sHbt2uiAS0RMa+WZzGJtLgdWTspsasrfu9F9ovEMto8rROz3mklSg3pzv3Pzg/ZK+7rjer1u/c0oAMuswbb/Cw2Atbks2GBTZuvWrXMdAuXkvNLULFQ+dtjWpXLKdyr8wDzbx9pcDvxNI6ILdZjqqcgtAAAQ0ElEQVTpsb7zgPVdUjrrMGZPZvl8Zv13eTm+7CJC5cAGmzJbWFhwHQIVIW64VPhyYU7qoiJs3cxKljHP9rE2lwMrJmW2eTM/sMCuZKZHPHlLufMuItZnvJJRV/r4gUIWtf8M9/X1eTGD7cMYl8PaXA5+VE7KxdmzZ12HQLlJinLoyTZ9vltcXIwOuETEtFaeySzW5nJgg02ZXXfdda5DoJxIqsnqjWewfVyjbL7XTKV0/fr18ZH1QXumLZ1Jnm3rNINt/x2pCGtzObDBpswOHz7sOgQqQNBoRAfGG2zjw1tGMujZWi06MH9V4bdareblxbJPWJvLgQ02ZXbLLbe4DoFykzRZlUrFYRyUq1SjNTg46DAQKorXefbk2pG1uRzYYFNmw8PDrkOgvKRmMYMg+gAS67NePt8UBQBT080Pp/CkC/HU1PSUFz/r1l+vVsLaXA5ssCmzoaEh1yFQASoVf3eXsN9qJk3I5k3xzgNcImJK+7rjVp7JLNbmcmCDTZnxKtkwTfbKbc5ge8l6s5ma5eMMtk3tDXaSZ9t8vsmRtbkc2GBTZrxK9kNrBtvjt1x9wBlsP3AG2z7W5nJgg02Z7d+/33UIlJN0Kx0EQXxk++Wi0/WD/VYzGfR0teowDipKtVr1dn2yLzPYrM3lYLtiUq5uvvlm1yFQbriLiBdSjdbGjRvjIz+aEF8leSarWJvLgQ02ZXbkyBHXIVBeUssEGs0ZbE9nvXwxNzsbHXCJiCnals/ZZp491P7/wirW5nJgg02Zbdu2zXUIVICe3t7ogA22QUlO161bFx/50YT4KskzWcXaXA5ssCmziYkJ1yFQbpImKwybO4rYbrA7rsG23mumBr20tOQwEMpL+7pjX/Ls6zpzgLW5LNhgU2YDAwOuQ6CcSKoo93hcqOxLcttaa2/+qsJvvKfCPtbmcmCDTZnV6x7vj+yR5gyYjzNCvuw6AKTfqfBnzD5oX3cchqEfn+To8T7YrM3lwAabMksKMhFdllIXTX60HkT2sTaXg9P3ikTkLgCfBNAL4POq+sdt318L4EsAhgC8COCtqnqi6DhX8omvfwC+lqZ6EKCPbzfaFB5D77p5ANGsj0Aw8ML/xZaev3EcWH7OTM3jBTx/3rn5l3rx7x77iaOI8jdQO4Gra+cAREW5J+jB0nN/gdkzxxxHRt3SQIip+onW12EYIpx+AXu/9Wl3QRXg+NKzmKofP+/cEy98Bc/8v+84iqg4PtfmKwevxdvv+j3XYQBw2GCLSC+AzwD4+wDGAOwVkUdV9VDqYe8FMKmqO0TkPgD/CcBbi492eSNTP/Fm6592qurlsgEvVNB6dWjmec2Le7F+4VmnYeVpZiHAJGrnnZtcBE6NOQqoAP1hFb+kMwDiCykVYGkGWDI8aA+lX6V7VNGDHvSd+razeIrQu24OEk8SNJ3BWZxxFE+RfK7NV9eO4+0oR4PtconIbQCOqOoxVV0C8DUA97Y95l4AX4yPHwHwevH1p6aEmAo/MM+WJbllnv3gS579GGVnvuS47Fw22NcAOJX6eiw+1/ExqhoAmAbwsvYnEpH3icg+Edk3Pj6OiYkJjI+P4/Tp05icnMTRo0cxPz+PQ4cOIQxDjIyMAACGh4cBACMjIwjDEIcOHcL8/DyOHj2KyclJnD59Gs3nO3HiBGq1GkZHRxEEQeujSDVe69ScxW7/87w78pd5zMX+GS1FKcFzpL82NqYLxscxtY5DCOr1OmZnZ9FoNDAzMwNVxfT0NABganoKADA9PQ1VxczMDBqNBmZnZ1Gv17GwsICFhQUsLS1hbm4OQRCgVqtBVVGNP6a7+RzNP6vVKsIwxOzsLIIgwPz8PBYXF7G4uIj5+XkEQYDZ2VmEYbjic6gqarUagiDA3NwclpaWWvE0x9TXowgaARRAPYhuEkr/qUD8fUXQaCDUEI2wgUbYQBhGx6GmnyO44DkQn0+eQ1t///znaEChqzxHFE/6OVrxaNh6jpXGVJe+Uv/sdS0ejqn1p6piU6MHqoqwkfzshY0GVBWNRgNQRRD/7AXxz0vyZ3S+EQStx2sYIgwbCMMGVMPWczSWfY566znQfA5NPUcYxufSz7FCPK3nSMY02JDLOk/nPccv+LOXft22MqaLjacR14k8+r3mczT/PHDgABYXF7Ec0fQgCyQibwFwl6r+dvz1OwH8mqo+kHrMz+PHjMVfH40fs+wmj3v27NF9+/blG3zKuz73q3D1/5CoKGH/lbji5Te4DiN3J1+aw+SsH/sEN/1SfQz9YW31B5IJAuDu2Y3YWV/jOpRcLUiIrw1U8WJvw3UoVKCr+34ZH7+/2HX2IjKsqnvaz7tcBX8awLWpr7fF5zo9ZkxEKgA2IbrZsTTuuPJO+Hq/bnV6CoObNrsOg3IkAtSCCm4ZusOLT3LU64GxyTlM1Jbgy3WzaAPr505j4dxxDG7a5DocylEfetE/Ddxw7Q2w3nb2AfjHWseJ+llM65zrcArlc23eurF9IYQ7LhvsvQBuFJHtiBrp+wD8VttjHgXwTwD8BMBbADyhJZsu/p03fcx1CETUTdtdB0BE3fJ3XQdA3nK2BlujNdUPAPgBgGcAfF1VD4rIR0XknvhhfwrgZSJyBMCHAHzYTbTUSXMdEtnGPPuBefYD82wfc1wOztZg56XoNdhERERE5Kfl1mDzkxwps+bduWQb8+wH5tkPzLN9zHE5cAabMgvDED09vEazjnn2A/PsB+bZPua4WJzBpq4bHR11HQIVgHn2A/PsB+bZPua4HNhgU2bbt3O7BR8wz35gnv3APNvHHJcDG2zK7MyZM65DoAIwz35gnv3APNvHHJcDG2zKbMuWLa5DoAIwz35gnv3APNvHHJcDG2zKbG7Or0/H8hXz7Afm2Q/Ms33McTmwwabMeJeyH5hnPzDPfmCe7WOOy4FZoMz6+vpch0AFYJ79wDz7gXm2jzkuB3P7YIvICwD+xnUcntgKYMJ1EJQ75tkPzLMfmGf7mONi/YqqXtl+0lyDTcURkX2dNlcnW5hnPzDPfmCe7WOOy4FLRIiIiIiIuogNNhERERFRF7HBpkvxOdcBUCGYZz8wz35gnu1jjkuAa7CJiIiIiLqIM9hERERERF3EBpsuiYg8JCKjIvIzEfmmiGx2HRN1j4jcJSLPisgREfmw63iou0TkWhF5UkQOichBEfmg65goPyLSKyI/FZHvuI6F8iEim0XkkbguPyMit7uOyVdssOlS/RDA31bVVwE4DOBBx/FQl4hIL4DPAHgDgF0A3iYiu9xGRV0WAPhdVd0F4O8A+BfMsWkfBPCM6yAoV58E8H1VvQnAbjDfzrDBpkuiqv9HVYP4y6cAbHMZD3XVbQCOqOoxVV0C8DUA9zqOibpIVcdVdSQ+nkFUjK9xGxXlQUS2AfhNAJ93HQvlQ0Q2AfgNAH8KAKq6pKpTbqPyFxts6qb7AXzPdRDUNdcAOJX6egxsvswSkVcAeA2Av3YbCeXkEwB+D0DoOhDKzXYALwD4QrwU6PMissF1UL5ig02rEpHHROTnHf67N/WYf4vo7eavuouUiLIQkQEA/xvAv1LVqut4qLtE5G4A51R12HUslKsKgFsB/HdVfQ2AWQC8d8aRiusAqPxU9c6Vvi8i7wZwN4DXK/d9tOQ0gGtTX2+Lz5EhItKHqLn+qqp+w3U8lIs7ANwjIm8EsA7AoIh8RVXf4Tgu6q4xAGOq2nwX6hGwwXaGM9h0SUTkLkRvO96jqnOu46Gu2gvgRhHZLiJrANwH4FHHMVEXiYggWq/5jKr+iet4KB+q+qCqblPVVyD6PX6CzbU9qvo8gFMi8sr41OsBHHIYktc4g02X6tMA1gL4YVSr8ZSqvt9tSNQNqhqIyAMAfgCgF8DDqnrQcVjUXXcAeCeAAyLydHzu91X1uw5jIqLs/iWAr8aTIscAvMdxPN7iJzkSEREREXURl4gQEREREXURG2wiIiIioi5ig01ERERE1EVssImIiIiIuogNNhERERFRF7HBJiIiIiLqIjbYREQ5EJG3iMgjInJMRBZEZFZEDovIwyKyx3V8RESUH+6DTUSUAxF5BMAWAD8EMB6fvgbRJ+ntAvBeVf0zN9EREVGe2GATEeVARNao6lKH8wMAjgKYVdXri4+MiIjyxiUiREQ56NRcx+drAF4EEDbPiciPROREp8eLyAkR+VHbubeKyKMiclJEFkVkQkS+JSKvanvcK0REReQjF3leROSficiwiMyJSE1EnhSRv3cxfz/+3uvi7707de7d8bnXtT32/vj8BTM9InKjiHxZRMZFZCn+//CQiGzo9P+JiKhMKq4DICKyTET6AfQD6ANwNYD3AHhl/GdWDyBq0j8H4HkANwB4H4Afi8itqvpcxuf9MoC3AXgEwBcArAXwdgA/FJE3q+qjlxDzeURkEMB/XOZ7QwCeADAF4LMATgPYDeADAO4Qkdeqar1bsRARdRsbbCKifH0UwO+mvp4B8DZV/folPOddqjqbPiEiXwLwNIB/DeCfx6ebs+Sy2hOKyJsQNdO/o6qfS53/JICnAHxSRL6t3VtX+AcABgA8BuDOtu89jGjd+q+q6kwqlscBfCOO88+6FAcRUdexwSYiytdnAXwfwDoA1wG4H8Cfi8jmdCMLoEdEtnb4+xcs5Ws21yIiADYCWAPgBQDPAvi11EPPAdD4313NOxA1/9/qEMe3AXwEwI0ADqfO93d47KbV/iER2YloNvoP4+dMf+8WAK8C8O8BrBWRtalv/xWAWQD/AGywiajE2GATEeUoXq7RWrIhIp8F8CSA/yYi31HVM/G3rkXUJHdyLP2FiLwGwB8BeB2A9jXJx1P/9oKI7AXwj0TkGwD+GtGs9hUd/o2/hahZP7vCcK7C+Q32v4n/+0X9VwBjAP4LgP/RIQ4gar7/cIU4iIhKiw02EVGBVLUhIn8O4NcRzTZ/M/7WWUSzyO2+kv5CRK4D8JcAqoia7GcRzeoqgE8gWnaR9r7431ht/bQgavB/a4XH/Lzt6y8D+FLbud0A/vOy/4jIGwG8EcCb4wuATnEAUfP9/WWeZnKFGImInGODTURUvPXxn43UuQVVfaz9gSKy0HbqTYia6HtU9cm2x74MwGL6nKruF5FXArgZQHM5x1Voa9wRzbLvBPBUvNPJxTjWHrOIBCs8vg/R7PXjqvrNZR7TnO1vdPr/QUR0OeA2fUREORCRu0XkgkmMeB/s+xHNOv9lhqduNuXnTf2KyD8F8Mud/oKq1lX1aVV9LG5af9zhYV9CVBM+1uk5RKQbyzI+AOB6AB9c4TE/RTRT/n4RuWCfcBGpiMiWLsRCRJQbzmATEeXjPwD4lIj8TwBHEDWv1yNaBnIlgHeo6lSG5/0egDkAXxaRTyNaLnEHomUXR5HxdV1VHxGRLwB4QERuBfAdABMAtgG4HcCOOP5LcTeAT6nqwRXiUBF5J6Jt+n4mIg8DOIhoq8MdAN4M4EHwJkciKjE22ERE+fgjAG9BtKTjWkSvt6cQNa5/oqqHV/i7y1LVoyLyBkR7SP8+ohntHwN4LYBPA3hF1oBV9X4ReRLRuu0HEe1O8jyAkfjrS/Uiot1BVovj6fhGzgcB3APg/Yh2ODmBqLF+vAuxEBHlhh+VTkRERETURVyDTURERETURWywiYiIiIi6iA02EREREVEXscEmIiIiIuoiNthERERERF3EBpuIiIiIqIvYYBMRERERdREbbCIiIiKiLmKDTURERETURWywiYiIiIi66P8D0dZ9HeI5pkEAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 864x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pbvZp8YjeBra"
      },
      "source": [
        "Для равномерного распределения:\n",
        "* Параметр ${loc = a}$ определяет начало отрезка, на котором случайная величина равномерно распределена.\n",
        "* Параметр ${scale = b-a}$ определяет длину отрезка, на котором задана случайная величина. Значение плотности распределения на данном отрезке убывает с ростом данного параметра, то есть с ростом длины этого отрезка. Чем меньше длина отрезка, тем больше значение плотности вероятности на отрезке."
      ]
    }
  ]
}