Os pesquisadores mostram que existem problemas onde existem redes neurais esta¡veis ​​e precisas , mas nenhum algoritmo pode produzir tal rede . Somente em casos específicos os algoritmos podem computar redes neurais esta¡veis ​​e precisas.
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f8A42+3hEBTmRkAcgu6gqAxTBUmJClL0IVtuWhgY0wAEhtQX9FYLzo/NLLHOmJg6p3KilCIWoxKtBcIihhUNoEkdMFR5cDxDvbFNuZJS4i3UaBuRYUWZe00ziJrQQYl7Vbg5ch9J21fTyrsrcc0b6CEvHL+6gFSjbAmA8NOFqDKEk581eXKEY96mNkyWaKB8X61cqzW1+WctIH3AlYSM1MjNs32HvekQEkgOEuadUCVnAtvNR17GJLDl7UE4FMpBf5TfdkV46lqHXDCSP8A8IkgTAMgEsGWoggCDJDGMLzT2SStstYe/wAtDDA5DQuyGSwF7rQ2TwWXvof8Uw30PJ+OAxTeIiovcX4qT+3GeSdH0oghiJdQSHnLUinJWXGvrutAzFpIm7fzmrSIt1oZqdgU3UiTrU32uyQsPvUICB0GE+DvTss6yDTKUoWSxuQPC0RdKjQucVDJPgGB/KCRiGnOV9RxX0nOvtOWvtutM3oILZVi+r1HewCV7OXbmja0lpnojQkg9n/3wEqB1qHBMRiBkecvFStDIlX8/GT0oXupk4iXLYfuvq+Gvc/n/i2G+h5Pw4diC67hh5lSLsUg+R6cVCLQk0El4r3D40SMEIksmXy+1KV4hj3FN9GrYWiZGvq+dazGuhfmaduK2BMLvOaX5wZyyW9KBC0TYcSrUstBgMMrrd6lY0UpItjpWbv8lfUcV9JzpFaMwYJbtOCbZi3VjfxQ4cKBVh0peSciHqFvas7hFpvbD4ho/aKghZLTOK0FhnJ+6huWtJ6P9oVjwuTxD/7c8iAna4Cn4lkWyiBecfgY8kJAWKZLgu03ingkhS8Uhw18iQh6XChVCSzRpspgpIwlYz4o2jEkJLzPio/3gkWX9X46/wB7oBkEjMiJc0aDtoMsl3celTZAg1sRkOKIRohCXUim1yZCL+2jBHStWLnakrTsFupxXuHxqNWAGzdmiRBXAuA4747VOdiF+xyfFfVc6C6YkG1FoQ0XCUpKPvFI6EYMWUp2j1orC0SN5VMZ++hwZ5oVzV3ER3X3zild03gkf1U58KnhK+k50QuSVLwqniCaniERdb19r1/MiuAVhZ9KJjwxwPJZ70yT3KR9ITyUdAQE9gmM0qEQKQsdzLSxFnPED8GaBARuI5/9RYrZSG7iX2FMTCBknjYcXatvOLd5lw8lEJAXsl1CLeKk05IQgHIjnm1JC2FCIF+ce9MpBYta0NTae9DoBJLgN4wAYcXprwBmF6eDHvNJCmU8zdxs5Lk1FtVHu9fymX7QIBsnT9UMZYGR03zX0L91Dj7XWnvcZFEm6L0KvACNxBv1KajGIUoJFynPsF64QPNqDadihZJNlIw5p77cFAmOBjMU8IETDIsP3XuHxr2L8FOEwyf0OlJ6jKAEyRw3oEEBo1XchyygwPq0a1EhDBKZvuKXjgUGSMzbFt1PahipnZNDUsC/eVDieEwm5LePw0uTCPXTLWQjtA+H1r7blr73r/xDJKDCMJTUTDLmReigqLiRTi5dKgONLJsQh7G+adzYsGPTXijx5T57t/8ApFXKwbXAbqPUcGIMK4+9atraBHd3dMtO6Nn/AEhnJqgR3xQTn73aK1hOouVRMhXfBGJJiUriEwE3Wl9d6WSmWR57fUfsINBYxUwPrpw5HqUBaCZg4elNK+MRfoJrTJanOLSbIV2MT2s5riGUkT5K+VOu+E945rKD2AnD1/AuSGOUkUOhSClABlWAKIGSiyqXOQi/FOP8MhzKPMsj57E5NqcWyry3QK4DlppZ3lX2OivcPjXsX4CbKaWwNq6KlzONyYmOsNDqBw4E3e1R3p4F40e1DPL2N5g7XqKoAJNLtKF8TRFl/NHGhCxDJNyu/ulfkuw0LDuthEdEUF5cg8CZDmnpaFSUuHtekm3EAlPfmtl+Qr6KxV8lWGQ8GojMbQTeJb3qR4m4IHyfyppKf9xrzQ9P8/wTEkOMi7DdYAEtie+fhV8uB77HzUqUwTKJzz3oRJG3/nzki2W6/R1pz1WVYLifpunV67Xzyfig4yEF3Z+6VWUlccuwtL2oLH3hOYiiBlBZhwIvTtIiCwfMNTQSAuXuBtSEmkqG6Xy8fujPqgnZy/twakqTYAH1npyPWoLSTFjh6U3PKRHBhNOslqWiRYcB8YHSyXNlKlY8J7D9ntU+oIX/AA/c1mKgsJw9aQS2UXGnaWgt/b6mqZyrEsGsOG9zDnmk0LSbElg4Ip50uNqZ/Ff3OivcPjXsVExRIuhtelLBeJSLdOnTdRhYiPW5fg70DOwWgLMdalWu8IBAHpSn5ivP4CDgFcBTTN71sLQoTTV7EWa5GqMwOCXP8pYuBWa2Fwf2ralYgMLHX3pNACsy3r7Xr/wDmYOGB7mGmxTgDLjk9qL+zbJLyMNSDLRWGp/KgBOlrhH1jFDO1KERsDidUlwFsvWdOlC9UQkT/wA1KVcesO1IQ0lMjUfop0hpExfqc8NR89cjwc9KSShdCOxwe/aggAOW88zQbGaQsHk68m6vGbo/6TnikIBJND4eGpX6IkNEmypKmQmbvWWyrikySyLvq/t6vbEpHI2cr7esIaTXHqPTkogxqtZaSgE0DQxHpxp12rLVJnPLw2TAuUUxGUsdQc9qTEOBPd0fmmyqzwnD1pMJC2jM1JGAAQQDZys1d6Wrg1+yfir+50V7h8a9ioldiKXig9qcUd3b1eV7UF6Rx0PK4+rl75LY/aos4nMwAJ9Py4F9bxosAKEDqO0026EbPZPVtRYMoggqINkwUiAYWuCVfectfactfe9a1+Q5Ekz5IXgbXir/ANzgiu0PkrMAE0PhKLd5mkoeGUq0Pd6gEE7KT8gNh/lT1agQK1JYDMzIS3ovpUbgLgANrQpJnJJ2UGvh5o/8uJwGWJe9Bk6Ks4L57FQQVf53r8VNRIDYObq6a70GX5WSMT+tVEPAUT2hz0pIyU5ZEiMI0BNgi3X56bpJEmfuAya7VMphJ4tC8/e5ECt3Lw80swyiMuR2/TUDL8bm1k9h+y5kZiBILBDdkRjsw0X6VgHTy/UasQiJ+zw/H1igO8YxR6aafJalgqVrHwG6YFyn+Ev3eUd9RvU4qBwLsM+FqSkuEs9jmjMRwbIMvr+Cfsn4q/udFe4fGvYqEzMr0g+Uq8gESYMrrd9xWdjGnueWs8Joxba81ngwUS4OnBUUM0w4R87dUYnRASJTVfW8aJGKzFOy1CSCVVcbtsRqhKZbNA2rqhf2bXfB04PqNyJkLzbquKUub/dX3vX8WJAJfDy1ESIZTWUHK4KTXOGurytPveUQlDCkYMT1OHkxS6FQMaXR6UyGEymWaG26ldSAmJ8P6o+8kA78UQIDPZPJqonYXuBm7Q+OtNsDsCZ6B9viC+SBY6X28T/5T24bFl4KEGzYEh3aWKe0veo0RcwFNuhTJQto35enFQsnCYHDRB+Vwrw9eHdTdDm39BaRFHVJgVIMjSoI0tgJlOzJumZjh5T2s2oA7kB2Sc/e/mRZ4HlUYeIceT5H9NRzoyUVW6bcJ05ij1npa679v+G8NIKNQ1i+oucrrSCbIOBw9U5UOJhPSTTrJaijpwkLEcWAITAvQU5zq2D59Kc5PENnZ/X5SS+21IwpSkSPfR2Bn6EEv9r3D417P8qmYSSm2MnwUo9oiVZKcfcuoDOBToFOxOKWV1e0MSDb7FMSzb3IBHmsA/Jz92lXY3mfNE+vy4ZzFwHPmndfQcGgvRxEtQIdb0I0V1F56qptZQhe3qu3rU3TRkC0BbaBdRLyTMSUxv2AnN1dNUnSyRycdeApNPBa6vK/j00qA2ro61BKEjgIZvoe9H7aMuTdjhzqkzZ+ARExksB71Y+AFxP39xlUip/qE6Pn0KBgTwJynT7d6uFOxJ10cW3jNNARODwDjfXrSzAGWeo1cwAYGgx+n/kSCxhbr9HWpiJYGBwH4UsljaH9xTqlrRwfWu/5gCJZMDhqFZJbUkX9M0akQyAnvcm6RFEhKZBREjcvVn2rtLAfNvoON1MvVj2Tc/e7mw1CzKZbLUHaWQEjAk2MElR9SSt01dm6EaNgDldJwHKt/smiSLM7KMEtgqlKGqBXLCT2pgVQEiuAmexQSqohCavmkSGlsK7pRg7OhCxm/NAJjW2rEDq17JUisdJB0ampNXeDSxxzSzz2uQxRczJ3kD39qmMW7k7/ADxX3PJX13KvfaB9RgtgYOKsjlOEjPDcL5oyS4WO7ihfIdag4cAD6066yxm7dN2MUcCAqQ/xoITWYvQNrTXVAyM7r4pRwwTEPdagcEIO4/Lu/wDqXEErqoPA+2p1L8a/uqYI2MCy7eveiL53f1X339VBlkZHaLszh9/Qq55GcPxwft8AliBbNxPg8tRig6RM39/spX+ikO7tHFXT2kqFymnbrvUcI2OmtDyny3wucqAHQAaOjubZXCtLWTpTZSEQ5g3XLx0oSwSDLNa9GlDkJH/xiDHZPvcvSstRvgOD8xXJAcx/m96uNNdGJpEYSE/MzR6y34YasqKl0w96HSG0Qcg9xUt2IQN6eUQZg6tYpMQ5dlZiokDfF1yNKwmxTUF/ayp1oKwTBH87uARzcNrCdTOalTEbF3sG1+w2VK0ixkWyDpa1KWTEXd2qVLwVopyNcULFU1u9S05ClLN7QwHFRnUS4UECxhmG1qMPMoSCzPJ2p1ADCQ/ALeKlgJKOh/a05fmr+55KQRGGD1V7vR95xoTo1bGMwG8U5gTxAfaYp6KQWhYzy2bUQ98hAFx5zcrRCgTSEW6VdiaRYyqR6fK00gRAv9hSAorrY7TQUqhRHhhI6lqxAYbdfctRC4xizzYKkgzW/SXo8IWNseV0RWAQNzh/g/b4PqYB6kfh5PU0WXewuV6/cZIcE/yFXj59CpI15B5rg9I61NwAwnqMbH7CJwoAdABoaO5tlhLZRuv4nDgXRpA6OWogbC2ghl7i1Gs6wRmoh4koGrSiR/8AEVfTDjpOrSqqsr+YCS3hf2x5qXUGCcuDwfNC4rtCJMfNGsC2GBWf+Bu+xv0OtX1jcMjrRMELOx0aqRUaNpORv8MVsHAXctIokBWAoZdXoRYoCJOM0Tv80QQDa1BmyZFIghLmIpENLsNwUdoqPUYJYOQXNH6gUKBYdHAKLuiASrKcJipoEZKWAhi00KLIJZJNqCEzMgLthHKTjNNy8EKRR1uz/NB/0QyDCMKG6KJhYxHAUDrPDZiB5aVMigy1FqCCdxHl/dSCS/Jn2hqoYBQWTMnNNFGDAlg2vp/VDfNCGGquInGU4DVs1dAVMgbO2mOQCZEmCzOmi0Jsq0iQ/NNIBCRlg5fNEAcgRAMwllJknQXulpqcB3D3AeCocarmVwcvSpHIwloFc7XmgNxZhgDBHHzRCdHD3P8AKCmYlGAMq6KnGhbsH+D9vgQhACx0vw8nqaLJzAO15+4yB4JWQO1/W/QrJmlID5V0edd6gAT8+Z/kX7wLj2JoEDWEc3aapBFXWfwp9OMSOA21OtkA+x0zb9RkTKJ+SeXdHihn3ks+pjxUo6JVb5OO9W2+oHr/AH/wrUW9tr9GadSBa8nuU9CRKow6SJmgUobT5ZpyknV/EFYVbFGBOZWlfvV06flnPosJDPN/+H8haA9Pih0SXRjo/lGVgQjoOaWIVul+jvRRR6FUCttOS2DgdDV3zTYwlnLp2UJdORwosuss05sQTYjf6U9x5gAgF5UUexSu02L4HqvTg7FEiMBK7sU9BxJdOJe26RiifALZHmkLWAdfFBt0CIyp1MQl6fQXNLJJNsTBOpvQDVSwAMc/5aOKnMUOB0/xTnIEaQ0OHPDAovTFErK0hDPD0aeFjHd0mU7lHcNRJOwM0jpTvG4zeiqitbIi39oScWYiKXd/VIgVKqt2hYJrCylQB2JqeKjtPGpjxNDEkVldAOSzarHxUBDboz0q+s+6AeOu6VS2WOyP0Uh5iOhf3L4rJhEiIEAcR81IVGCS+BQg6afsH9o8II2C9Szg4qT8UAy6Ym8cUmdKwad5zTmUEWea78b9qvSwijlLo+5qIm23I04Nv7w5coAHQAaOjubZAehRmUG75beKQkCqxXvC0Kpab0ljioUqy0Ao3fHWiYmLIJWtjPFSQhI5O8o24ig7cJIX25mGmjMhC33J4eezWUkpu4JhOlOMCk4Hfb/wb+GZi7dPNvFFUb+Q46tJwJwFnkc0jlqV/D1/Emf24v8AgKBMMNQeP+NjMCt5WXsnihsy47Bh3UfDNlacJ+9KjNpbLmZ5FoiwkSAGk85pRAEMIMk0DhtBJtQSckZrCyCOw56jBUrhoMQkT28/g4uhBsY0PpQgFEYFLxxSCZEojXCmQDHa1QxE5MDhotrKXLGCp7wrSJbgPEr2oMN1PIwzvNRSHQPoFqFG5JzEP80WCwMpDaDQDTbTfrTcOGjmeUkOod6hISQmJC6Noq99GTLMWpMsGC4HT5Oqxgk91ihIJAowpWoB9afYTgQ+QixSE8lEJDeqatCE0elYAy4vx16FKIcrQv7nwKO0WhkEMQaHvTkkEAsmp6B80LWJpfJ2PstS6DUTJ75DlrlahINW+CmRZYu86gyCep8s4/foUGgHFgjl0HXFXYmNg4J1VqmJBFmhGjo7m2Z4VMq8P7xRWgiuWRg8fP4gRhb5kZ79aWCJSIM4ZjiYpJpwH0B71Yc4gVd58zehkhpJtw2iF+5TcBMvs38UuJfIL7Oh/wBVZwa5LJGn5kwnCZP+/FTHqCx/fFD9gVsvXu4KnAeJCJoAMx1/F3wx9Aq8oZchy9i9IlZI4Ygeh71OSGRIOSjBxa/5ciWCyetRltF2ULldi/OblVpHRYCRgc1EUQt2E+pJ4aQkVJx0p1zULdBiXziej9AozECpR0vQPlQBE3Bjkf1UeqE8YrYN0zN5oCcMWYK8jAOAgH1KCBCuxO800QaXIEtPa54obmXJ2U2zWtsMxbVpzUxhQnCsqN5pl8zFwusk5zT7ogKX1qIsBlEi1tWKMDqIknQ6m+lFIjHAYunRtV80ApUmR9KNxMXD1OEo5iEKkdJpmu/gUW60O8LfklkHfJ1SURVZV3SUsUiYLzEzFqgCkRCkSCur4700778HUl03Uw2lIdpi0fG+twwmbKDXB1ehvFuWAMEaHG/lNYiEI7nf470G0YqQraafstM+0ADQaft2mDAAAsNKfB5aNLj5v5++2R5RwRL06b9CoKC2IwTKaHt3oRDLYkLhoNH7eo5yw0tH6cf6omKreIdp6fFNF4ouHpzqaVWVpsToAutCYaWwBxPP3ucnUVcUQuCZlA01JMiAXWNPtS2bsIl1kUg5RkNp5gelTUVZcCI/99Klb0aNHf8AtJXNJUEggMmvWsrVErwYK76u+iVdoSB6MltUsmaObNG4/KUjyYE+xTWUOFdqYZX+9Y8G7/3S8eSspcfrPUM8CXmYba9alIwZx/VlvWQ8bfuuzVEdWGhJ3hISlopgsqs+mfFAJExjECz5Pj8NOKNggXHFqQ0gsGvk/qoBQxIMmLmW9Jndpq0n5pkCwRwd9aggoEEdU3600ikMZ5zSZgmSPLO6L20Qw9ajOVyZcib9aMhlkuXKHB1o6pscx9t2qCGE+h8JUUgLAcoNUEAAk5MNu7US0uI2/huSzh2DihLCl4sR6n7ooxTDNmUBteJoiMYBQUbngE5RghhRFhSMDHZoS46UVPXml4bh7CL1lZArG10fbvRDBANh0p8HloWHqSW3r97l5rp6hXjpv0KAoLEjBMpoe3eiEDYC4zRwfb4KShIILBoDXRurUxGErjzQukIvQv2fNIpAiMI0bFRgDdQIigBIX9/e5O0mwT0crj9U0DICfdT0YzpeANrigo4eex1gX/FN2c9NJsuiiLcEsq0sxMTrGYq8lkmZnKqNrc8hekiEeRIfr/usdLYEHQlrdWTJ6zuOFKssrT/SNL9AUodKwJd6g4D3oJF8njcLKhQQgOEd/ap/ydJ/y9J/zNJSz8qaD7r+UyzYCZ+qiTE2N3Mf56VI7ciUXD9KzsKRkdIN1ijwhA524eKWGF1kRh5/AOZYLyXfweKRFGz/AMCsxkOtz9f8yeqARoCHaaOeYZyU4SjxkMmAzF2mMzlwBBEI7npTBmXIEmgl1FD1SxAKnZ93QYTgQgBbULmOLjyoUjGGTG6ct/WlFGcBayS5t6U1yULXjBi1vSrbZBZIYRw6atAgIRIzIZl/dCtlEzA6zNdWSP8Aml6uECABWHS/A8tBQ9IltefuMhJxF9Qrx036FGYJiSQ2U0edd6hALICSNHB9vhQsJYIGgGuBvNOXUSrQvVpWCeKdxxJYGPaaLUrAsXc+81GICxIuVB+Qm4v0cvR5xRI89CkF2tjRFDkMGwmpKM01EAZyUEtrufw91abKehKTlmlQnNh0w+aNXM4YhCj0QBd2GHvUinELuL8H/dB201KsW3b5qJQBL0GN4r58xqT+elYXhSmD9OaJvqetAM/YOaBKAzsVPVhaIasYKVLa6ksTo61YHS18vmKOAq9w0H91D83APrLVn6skl7uCl3EjAogckpMvmaObiQagHLuPdaQtkJUkLa6PxcicYWkN+8UrjZR6r/NAcAdAygfFKzkRlcIfSfNKuQy0KpY7T7U5UIEWmLul/ZpEXpGRdf2U9HIs3JD6e9TWUQA6MOKEOnCZXD+VgiIQWepR6DwBvq9aQ4pChLvCFkpzFQZZBBj3pU5He1mj+0Iw1C1m2lQYCYep1p7ubCfyrcRDBhuD8f2DXEsjxSWj680t9j3qTH0utay/bmpsGwQuW9CTyP6hXjpv0KOIm0lg+U0fbvTJUg+TMA0fb4ENcQLdC4+tRMAUEiC4muYbT4OtJ1tRsnLSmUIUtjDV5hQEBE5bOKfVOWJHQbtCCbSqSW120fOsvyv2vah1OCsKyras9WKVeFUAMXHcFvNMxiSPW5+XfYPmrPzRXTHILXSc+te/aUJVn/u4yCZA7KD2KS+nhPU9n8xkc3sI1FQKaIjEEH9/8GE8BAlyPPaloLtIIy8A30U937AT3cejaXP4UGjxjqsUz1fyiBKy4OqIuVHT5ApPdRyWIL+3qOZkst46rUBYsBmSgeiVkRQfbUuTISsvbbUUs3I0RvzFTYFvgCwXmp7vXP20wBaNf70AIFOYz96UNtAoy3vt6U06QuQdTNL8EKQw4b0zK6UJlDalNGMuBhAj4r/VKaAAgzZpO4ouH5oSRevkFqaa9j8VMRKSx63oTapAG2ggwrpIYGH1qXhS/mnZf5RzDJBBLgx0opcdK0mfSGgfHDX5jPSki2WGBxHVJQNySmbiRlqRb0vwMoFAa0WizGZHVTB7dVoSKfASZo+jvhHgAQjsej/dWUmDweCuWaX4Otad07L0p9/sfCz6DOm6hFcQ9dxMcKLq7IplHVqjTzdtA5WbVYr+GR2xdal3pkF2912bdWgoq5v9Ro1TnUkpZN+FGZJFdywkfb0aciACVaV98QB4aeTrFLEP1+lGdgMpp2dkp3AFjqWWhYLLR1Z+6PeMhv8A7hIUpJXNjKWgr4sZ3AR0xissRhHqU/0em1qpIIlmPzSHlGgJRzMuSmaqkfNVxzvKsLD3FEnIGsoGAtBqyV21AmRYr1IzHSj5QRQl6FQ8NOq9EHLwUgJ0Yu/ilh2KiSCL0RPTIM7gcUhpcCvetSsyjLuLAzgqY7xFu+Wk1HChVJFJUXDTJn5Crt3AzdTnpX3T90Cgsgw9PxcKdh0qHueJBNOIddPlX2+ukQELUyAve1NNNNHMWEk2A46UXTQ74bv9rNzeoHJUQGy2EAkwM2KXxYlkYexSBZICA8WaBnjA6XtOzFBkaeEjouS52pODQBFwFxRnpQk02DslxO8rwVKYHKejI7NT+JkyNnzx5FJRQc05RCDAGjo3Sy6RwDl6tcl0u+h1rVs5ZelPv9LwISnmP29SjRf4oHjdPpxj560fS1C7WriA+Im9EBiBJesbfQqbr6SRHkRoWRZSRyKqtPQfE/UfFQRgxEAaf3SggBetn04pmMFCNOD9tUs5/DnGUZLQ9xo/CBixIBTs4UYQ8/lU8cMJI6krUSCnH/b5/AxEmzq2KOB5SnonShiMRAF6Ljs0yuRtJeQvTBynhnbmpY4yQwrBBVPwQtFk6N6GjMCztSwWKgnEOnx8IAopAjomGmR5oVoNi1lWNGYeJA3oEebnB1q2bbATDBGb0UNkbAiyatMyLTKW9MASAiHgTrnz+EtKzAgxEP3daI4mWpeoelPRf2kwKgCVay6QLEcHe/4N7xTlUAAlIGHrT9e+KC40DAUKpUJTAQshpHWSmmn8NWwSZMMSipDzSt2ba2rVNKqULYmcfNIoRZlk9HKrtEvE+xSwTK972oLrbMYJRMzGszQq6oTStwpta+Snnlrgdn2u1pf+MpX+Ip9gzEHpihjfXhhmLuSoW6dI/wAohQmPUFAJySb6TjdFLLv/AMB8qs0KQOD9y3xU3Gi3hbbeVt5oU8spgEMVgvFMIOEWGgoWFiRhpFj6nWnFQIM7AIVJxoQzSMRANkILaXmn8gbgopeG1uotRgGXWEhfZp+ZAC4CvqM/jU4daQvj0oUhANj/ANpGo9ZikEcET6UQBwIs0GJKwAJaNwAUFnCMtEoKHLPNPpOAKJRXfeuL1xxVYENRyUw5EDsrqa4KJHXpDpIlppwA0o8EcfuiklSq5Eh6VQLLRJIO2dV5UPIEUnJJm2LmV6n9igsom1Yfbsz1Hj8JrVIRAiZ+tUvtCAZQlqtHCO+j/acIKqRhkvT+DnI3pZVppppoQJCUSI5immmikRGL0VdBM7z1oqsuaiNEq7WXwfPSpKxggTi2b580BUjAK88VEYqkVKGU2boGBpAHlSgVhVQZ8wu6hwaUDdcBybbtfToQ/wC9x79jvVgVkmAp3EtUmAfrIM0bWB2zyy92ni+/pT97+q9brLzEXqAgeZv5Dp3SfGzpv1LfGY3yEPV6/gawFxG5RckxA/VJp5pYnKsv5ciJ2xK3CA80GTFF3kPBPtSaCK9dBJUdP4V9E/VNaQS8IiRq8VwRA+WpMShwKR70PRPAzDOHbSp8USokdClSWjyZD58/9ratgRcwVgl7KkeAForHeL0e7yXmFc1eOGLjg0ZtIH6PvhVVVVy0zSCsgW+nVRP7Xmh62Uu6KUUEeK+oURtJAqReO56UqzsDyCK2wK/Pu44KHlO+g6VMIJhkl6kYMJ96siozDf8AAIUHAJ2ZE3/AoILDnrQoyMPNW3dkveD7pX3nJT/waaaaaYAYc0AZzTTXs/ip3ZkXAA0WVFHh6cn4oj0K0xBJ3Z+a2vybiU24s1I75EBB91asP0Q9ClJHC0Dyc0i3J6qlr8SJGr6y86qXfFvunmaMvVMLlrQ6KfhLdxOYJPWmuzVZoBFUARAqMuHFj6V50t17j+Q1GWstiN/5oO7eEYTcpXJw2A65r7J+qT2eX8oYQSqQ7T0qAI2ZnY/UdKTrpmZFAoGdP7V9M/dYLF3oAP6qIOKH835UdyIibAPYiiQ48YCiewCcw2oZJP8AspDCxhX+t00pbAwadZpw3YWFppOFO+EueW9H2bTAlPuJSkAxjbrTwKYStNzwdWLdwsiXb2KKgESosO1JvEXAhkk11o/xB/KnoVaCPh1qE5pUh2d9qdGyggPEw2r4Bn91u3oje16nCbk9RmkWSAaLm04qQYwQKsKIAqJuSZ/FkUyhmCh7JlCKh7RX3nJT/wAGmmmmpHwV1kaaaYz1BlUAW61dFkSlHUwfPahkOGEeDL1pqKmRgBYvGdGqmGkztcksRUIAYIIgFyOlNMPYLpbPQrVeMguWcHepSegES+tRLwvgXITmrhljMuT8GqLKDNQD/eavXen45B1TVjVDWTXioDcSUbXoqrJ3JVkd5qNlLcWzS5C3GV4clSv/AFj+NyfgId5wbfBSOoQjCCJvyz81eIs3mSSn5HCSMQCjJAg2ZESRo4si3mf3pm7/AJUkSMJVPDkiYjp68J5ow8yPMVEdLf8AZfluDtlr4vX0n90cxfCEUYjtTwZRh/2UvRiSPJ1G1DqCYQdZNUrG2fPBUHX7D1avuaStIFLSNg86o+U6Np0bSprUbrrEl1jQ+Smcim8qoWZjrEtJcjzWcrDvfW5UfORUkEcFTYAUEJMPSrjdbJa3Tgc0TtghJsbalZRCxEBIOl/b8TnQ2w72pXyMYzMj8VkLb3AU/wDBpppqFYCWlJY8K1jzSNl6tJXZO9CV3Wm9R0FOImk0P4IKHyUSSwR/lI8ZAwYnDo0xb3dOa1CSRItB04PpTf3YNhoRZejQ45AiFGjK6A5pYgsAI7ntfr4qOrwgubJDJy4zSm63DtaOD5o6nAfByxNQ506o5gaiziRU/ItP+H/2n/GP7UJ9of2gtw+vNPWfsn7ofsD/AGpSe8k0MFtQOHyzqttc1PxEWX7joFgeW/XyVDuIWdC6/XhpDxYhYanY9SlRwSRWdHD7UnQIQhPxPAIQkFThGBYgAICsU6brI9lZu/5fjUmueX6qGzcjjD2+Gr+TnRkudShVBA2OP+wDu8IyHHa/zRfhJ+qEsxIsww98lATCQRgNy8cNcfoDeULOgHVAyzA6mX3NI1VhAekNG6Tv+Ru0DzBUn8T+1Lv0v7UmT0P7TZLWoJZOppmcAo+CdaZJ2AI68tvp5qIlbrk7KYoUVmovFjFQkFIyhPmVLkkrJxw+yonMoGGE7OpSjNliqPJpmKgwt5A173QKGLv1knxSyZIgspIeqi1FQ8flpppP3KnrLV2ZobYderEMOlIXHu00SYEqtgq5uKBRZxX0HDX1HH8QhPDbSTpJxNM0DGz72oARPUI6Swkc3RHapxqyFyE0w70LCKrdiOFoKASUbNBgUxI7INcZ3FSm3KTNWvzlWKeyKOyp0V/KyFJJizgHS0/U4CWe9OhgTeqaUeaKMSrTTKedy3DbXNOIzDyz5HSimmiEZUHV96f88/tOLI5Aw9yacx7Usuj+mjIkriDqwNlBQREsjr8Ds7eAe6UUWmiVks8BZBpY2CFhMq4FlwNF1KgQoSSc0hMkychI1aY3JDGOtsVAS5jMNk8Mev8A2CRmBDFDuhHICs4rroRQm1sc06diS1uGM1yevpEQ0qaNFIIP6J0UwQWGz+iD070NzbRZgJY70zqhJCyev4ZcRe5nRTbUCZCY09KakKAnRA54PLUKI9wp7suaVuT0/pTokAWYNg0nF6las3Ep+BzSm9gxLQB7UfgLdlHCMWaL8/gSHt6bqRQMC7H7qcRpkKEBf0oksAviBhtTuQlC65ag010mpsntULiusetQ7PWtYPBURHrUl9Zgab/dKaafwOIBkHJDb2r3XyV9Bw19RxrB4ESLJzioeTgxOXqwFRp5BPWk0oCZrCF4BNuaCCJZk6o1Rknku9IHK1Q0Tg9/g1Fjo56WI56Ywcq001DDyR/VC4r6j+qgLI6uhXw2iCJvEpTQliwGlIPFM0y+MqW7SrVlEI1LMWHOtQpe5QL859f0aJqqEwnTdRhQyKOeoM+1IOsozPBF6mFMkkJFDDI1b+9JpK9MzmkhikLBP9g3WP3mBFRrCsZvhU6I6qKZUCiF3qQLz0q5Flzv4Ivs+VTzGSYZM9etYsqSfeH1KESTH/YxAMK6DNEAIhEdWaEbLV0YeO9IAwBrC9qPscUDl6VnzWZTz/YpOkLZs0ctrtGPkbwbS6t3zRqWoEBTYELOAfut1FoukzOxs1pRgfQ60FjDeOchHhKVKplVSvrUv83+03h7u7SU4OKCcEwXS67mwZooEEE3CrPleaYLWqeyMUu+DTHYZSp9r6CW9g6e1KSankIGXmZr61X1qkCVJ3UambDpXCa/LTTQojYMUj4GCmmmmmvbPho0oMIw1d/DZSIVOOtZovCMGXZY53R+nsEAsPVGyjA7GeahIRmZJOkWoXkA5CEgnm2JpCrzAClKjsPSnZkOKE6Q+yeFOanb8bTcbWpWy0EEx0T75oOCV3ZMXkoI6iXNgZ96UrNmWTpw9aEpd1jy4a2mWDLTONBhADy1j9Gfw3J0gwjVgCWE2+hq5JRcjN3QaUBAXGQaF2daegt2RoVkyIC0ssxUFisI4d4bfhx4YOZbpyGOYNr1IJFE1pUt4CsxDA7CD2Pwu+h4okFlvSP3Sl/rJWVRo7iv1SspPtx+P+yEhMNlJaY5v6FYBkeOtZ8lHVnCHvHkoLV9bD1houAig06H7aVEGpzdCeM4qV5yrMiCaipB6B+4N0rKCgSr3Fqh4KBFgZRc32t6VGxwVs8QlOrmgoiUhVBu4SVZAPYKkchB13QfU/FR9T8UaDPK04RuMS4KHQ7L8yVu60vcCIz4Bu04ly32CluRm/zXKqIe/oofb0U4jsAhTlYFOzBJ6flppq4eEqR4NNNNddVZY896Z1kLlCCvbPh/ABM4WBn1xSjuUMcHi/mnMGGhFDi7izrDSjG82LMg929NGAiH0TPUoM0xEAdUD3poQAs/EEgb6lOZq3I2H42rVikjfE9H3zS7dgKc905wpy5EK61unhLuIiyDx4qbWZITxIwPOqRYtwE/x4aeusGy5h69N5pv3k1lsBgzQ3dDwTUs5g4SjvBroU77H7rYgd3VsdA3UfJkXHbiosEq8SWB45qe+BXVNx5LVY1VPAx+2OlAVBICReJPSg0s0tugamp4+lpAeufWkdaBUr5eBUI8AA9QcuDglcUarBhDIo2HYMOH4ffY8VF3Pxl33j0q537pSGk/IU7hYJ0J/wCzcATyUJJpqegb1qiGi461NFOaD3IY70yODE3/AEn+VBmGkiln+51TnxZTizIGWoRiYgJU4Da1QOBGoEyju++TqoDcDCHweaF33YB8p8BndDJPR/irLki7aUpaurREoWbQhlddXEUeGO0sctdalxHfNjqMvSp3js5gYBxVkojaQ3lcat0pO3uF/KyQxKPKc2nFJOLMNJgmPM0MhajBOEI3xEUm44/VX2fD8tNP43uqaaayfbNGX6PFgRi7am4t6bIEjvekRuDfoX6mo/tWE+IaME0oVS9P8q4l6qjnjpQiRxWriVq4ASATjMdSn6N8U/avivq/6p4yOqI6PQ990DEsHcL66+7aEiYNmUnWKzA2qFLACfXo4PGy1ARvDLD9Jso/ZeE/Vw67U5+Tyn+eGpaHW8NydGoVmAZJ5p2E5x3N2ppGy8TZ6J0KVNMIR4KTAjotL896zwVFMvPSi0BAdwXC45dVbIsDpWYWzDnwKAoyWRFPamQnkKnkoMGvF9+EWDbvREBwGnAcUsF8BBDaa9RgoUksKEAxbQ0ZVSDkm+XES/mivseKt+zC8l7pX3fJQZNHzlD0U+B/f+1BB2fOT1oVgd4looSeuAfQFGRMgQnrSQkhID0m60aLC80C4I2v8oojBFnLYmT0Tmm8ZDSRwmQ7yrQC8Qi6D0PLUhmVUhXaOPgKj0/c/wBUdIPcP1Qyhxi+1IxVIwhveCkOcrFLHse9KMRhQXZS3pT2DSdCLQwcIHekn0ol9sQkIYv5onRNOSmf406QACEWQf3QrwQRYA59K+06UGswUOUcV9I/VfSP1T9I+KftHxT9Q+KlDiAQGd9qQZD9LU/QPin6x8V94/VFKwDPDdQEhVglCIq+xX3o/otUMDPm8etSGCAkbAbQs63oBlJBAu0jrSrxB5N8LyE01AwW4kwjpqHA6IQ76USVlDdYkD1fwmRUASrQMSwdwvrr7trujp7vK80PpLcCJYeHp1omnZEJ60RQsLuCBr14rJap2t9Me9ARvTLDjomyjvnjU/Vw67VCSmeU+6abi4CIDiNVBmuATlLK00W0Yw4CbH4KJCcDanK/Vqg0CQKtRLE7aYwpehXhRWqAbfQeG9Ek6EQnqJ6FzmgKFgSeigYox5GMe0VkjINgbFo+XBUbJAFAMMaHcVBhasdhL14NVB7EvXX2OlcYUOKwUuPaeA/Vfd8lTFgHrL+qYWcF9/6/7VtjkAebsTQxlu0idy3rU0nOLU63aU2/B4OXfAKfInFdrHI60U4qAKHJTknboEQFJsIXzozOV0oXxFgA5xYODLUkCJno5hipCJlMOrlinmH8g+EmgQCbQTzdQ1wMw+TRSvQxMDoCRwLmKVOnQSXKHqpYx1pPyKAgGpgAoxEoJML3mvtOFS7BGACUyjOtU7NEhycNQKywKtZkBbME5jioaYCmydPFWgSCmlO1AZSkHKf8N0UcIQwMO43/AMPtnrQIgVrSjk5r7L+q+6/qo8xYqEypy6PWta0C4lpjehRsWSLhGeYOii+VEnch96CgEYr1IClAsiXmskSNqtGCGGlKlAs3l/cJMp+xWJHESykr+qBp9uB1NPA1mkaKMqt1o7FUAQTieKjCig7NlkrDUhwEueq2cP7rJqRW/XFFYB1B/dT6x1sdAPbjmhjBChXyH0oWWUZMKo0MjNJXUKihgSARskonkqJgNJcB2mv6VJaZpiPnhzy82y3xX6v5dnEZ9qwqhJ57oowHW+ebXPS1FcSDIAMYg45RQGQ8BgWuDRYIDqNouZQo+aTDLE0VjDJTEJNIptu/Svv+SmgMQdHT7AkH7/7bwbLNcwazaQBsIGVgpbgHJMl6jqhxkAWWK2Dt9iiAAtoxF8DnKpmXUHRDXB6ikIpTOT2mvgKZKjXbWMvAqSV6sAUzsBaCj5+TAGcBVgLCKAOWBpEyQAFsQnUFMnRBMs8pzy+ChVpuEvAh70fIxsQ4lnQWooIll8St9t6+84U+ELDF5ybhavgmzgeD8cqeLDaUT1qMLIRdadi9aHD9aIbc1AJizHZo/wAtQ6brE4LNutKjBYwA6ilHH9aQmPrVJByiR9KnYCiEPRARr7r+6+6/ukBUEXKZX6S0N6E5TKp1IidVHv2ssSwbhKvlqBUkKwL8E5evahbw8iQWDg29qWfWmo5B1UfjacbFFFoL0E9LaJ2ZzimUzsg0Sk191/VEgWUDCV+jeod3LxN5LI7UsokgxRMx0zQeaiEIORMytxZQT1zIrDngIjgQpm4S5X1q6fZrtDuK/wCj0ALTsGoll9ALV7DNwUJwSgEs7gsGYn0VLvxbUrjwOTsWmiaMfnfBrvTIoyy3eaCTABiW+csx+6VFabGw/fmijgF0E1JwaqAIRGUjc2SUcBhicFHvQmHnKOo/tQgzCTsNff8AJSm5BM9QKilEfePwx4/7bikIDTIiWSbjYlgqHRyJuN0HbzhFIA4HyP4ecvpV5ZgAIho9Dy00Urihe318BRWekqMDg+BlaYC2Kc9D9UWIIlKI13XXwomgUTlYZRur9ismGxY0a1UCQwtopRydAiNgtk1JzsgY9LhekvtZdBWPWk2o6R+em3EpZAmH0t4oXACACD8WXvSk5pG1MtcpEZKQ4ahSxSe4VG6ws0h81ZhIdn9o/wAI/tWWGsENlP1WTSkofFf4NUdShaCxb+KTWGGFgMT2pjMLWUpvVuqxdOELGUIW929+aJFCSEYtDYsdVHH1SlB0HFSAGbIHciC1o1UtzJDKOsQ1wUKJ6sVcqspl3W7SYuoWbiEYQt6VG1uQ5y4a+pGHQ4P8FSj+3cV4+D+7xb1sGS6mBPT8bFi7glPKdTCgIYp0xg8U1Y1Q1Q0EiDhkGOySVgIuh1AgTYjq0bkootAEsM5fJQe86zC7oNirt7q2xur/ACuqfZREpxmxrvUPkxBO6B1aKVIOgvIE+aC9jFxQtDvZ4qFU2SGrHXZ/KFLgWMoKhbiaRCQACcV64XKbUydaclKIuAzFfd8lIlYojJkPtSMZTPoh/Xb/ALrCK2zmMw8k6qK4VLMoTD6ApqrdQYJk/wBFQSAlLA4PgZWieZMQG0Bt0F2kbXTwdBt60pGKduZU8cvnVRxjXjYAf5vS6gqzb+H44AphMAfev91/tRmKhhFtoCycKYR2/ZRgNq3GQXvqT4rUhh5KXNAMBTt6HFQm7gZtEz2mm57xJfM/FQYlSxgsR4pKIaUJmb+I96leAzOS3XczaoR4JwggPSuBUFhXDTAgxmGp6RzAmOJ807Veiyt1+/NHQE7uS39r2oAMQiSpN6uvkr9AR60ZQeqD/NAkiCQ5BjzR5uILkvHEcHNJvjC5JWGomt1SDNVxICvbtH1uo6om5Ays7aMqAMyElO5UVsqiwjNsNZDeGYAbRC84qQEHHKFp7YoPMO+HUzHXXaiFq0qXoizRIuVTW6Tj/dD5rSz6R0DFMzcM49XN1y/FKGBR30Hq/FC7pEoGkAiP/AAg0S1AmI1YZUeIzRQPrg+TWHTXOVxlu3cxDV7REl8lv1U3KsgQWF3KlbyGs2A+XFON5PIWHYp8Qtui1KWypkx8djK6ikK0EUuNhofLgonAuaApi4s60WZmFe4jkYnVYxiWvJP8GoXYDTQk11206vtdaKDO9yvxTcQsCh65pi5CBNwT9tY1RLoB+J/77QrhuGKKcIQxO/ONFisH9WgPE2E0GKnGC6ZC6OXt1RwQzd61XnruieDtOVRfOql2URK/goUkf6cUAi0SR4py3V18s4CljIUAJqwqPuaBwbTFmpWbcVmxblrq7qYqC38aV+YMmA1Q/WAzwfNEphkrfMF+1BiMm5ALMY1Socg6M6t2ateMSjzcRqeJNrLQQg0XgP1UBYwKFBVcshl7D5pcy/JPutGSZqw/VXdH1zQZS8/g/c0fPBA6HYCnaDuw7GFQlwTZY8hSgpaiw/4UQlTLmxX/AA0CVJoKVig8lquBkbZqCwQxnsU3Y0Vdgh0b+aUrBsgdpavJiK0nf+FWNJWIxEM5Es1nO4RnmKDZCT64pBOdzAO2Q9qsIAieHDF0eKYO2N7Ep7ZmnKqAB7vfpTbEyRZjL7VhJgSZ62tQ58XuVAmaRMGlMPIOaFgAdD+U9UKDMcjpKCHeJld20MI2T2A1rQ5dP6GsOmoZI5FQcWojnvIWXUCipNc0DkkTHPB5qdKxMmyQ4m01cq2T6hPpsUSIBl4A9M8l+rVysHAMRp6s7in6OAkBoBpJGaOBRgrlrqhGjxAGaKv0ZAc48/qouCEESaYKEgrUJe7R6KOgfGi2UUDkabCDniP/AAUEhoGtdF0JzirjElHyW9HUgI3bzB1YpellEHoch2LgqDKGmapxFsW3rUSJgQTqWXejlNcWzmwu9aTYaJHUuy00QOVYJCEoG21REmtEdsZ7VAzLN2GIyapNd0YBkTGF5pS8JqAiRON1FwPGoYY2u0Gx5MPQAEtWRBluU4btVL4wvIJyhNjbmg5CERJScAxRlUyKzCdSnArAsyzLcV0FgoPZph7CqR4vfxQflgLSEi6DWU5hA0MT2FEDu8UgLs2jymUeKmGhwHCERwL2p0iWeEDgfUj6uFB8waE4GTzSmz42qG15lzSOSEREgBiYWRvzpQJZKojpSiWL6YxSFtCAgYGV+5msw7eAfWzTZxkgmugOWLYpTsPLKnZy9NBIbtYIQIclILAvIESTWIai94MV4dOYpJBk2QdvPLU5CwGYBI/PrUEElhxzwXy0zdaOFyDRVtLM11OHigF6dmOsPk+rRDYUEz7UFS4jCdklntU+3Zt4cFs0JObCCLw13avjbsQk2wY5O8V2teATgOAq9tIgxHKAMmLtWJzGmO4esd0rHhwHAeBtmiCl5DocHBQptuK1hvLU3VnyKPimr7METhKJ0YrI1PU+aJUh8RUwT+Wc8/GaEcKMpO/3NQyuWpAMf+JH6NbyuTihjGa+nB2G1u1IvoNfKlg6018kQQHU/VDhAdwcHXrTTRzM0PWLh1pGhMS3jEq8XqDrYEyDEwaF25pedTpXDH7oLhZ0xfFLhD1DUkPugeharsZ9n+6O0YRxdEPZPJUqx6XIBPb3oDsxkyI6VFZI1mERaKQ25Z2Ig9aYrNTQoi8yDETFpq5kMI5SzfrUYUsHZJJPNkyVm+ybyT4pPEYBCRGJxPFGJ/yMjcmd4C9TIwAcsJt2Z9qUiEGhCDwKS9Yq/tQi4cX06expcKQQB/RH1THmUd2wEMgdyUMikKW3soApn6VOkGv1kIA5GSiwgchMjgM0BMoHMNALeB01I5Xs5GMiaGyhY2oSB9d+2aBqrl3bgsnFK3G5CPJOK/1mnm9P+URgTG3dyo2BzqES8VNDyFTRYOA5qZwyBm7F596mDlDFvudd0RupsR1h8lQ/XHDcVmJ/Sw6D94qw40jnkHby/mB9lz/CdQIMDhEyNNZmJ5i9u3SgAogPqfftS2rTAvBCQcslXy2sDvPWkZ5cSvNUsVgwJIRM6NfFGUEWCDc1R+UwCjokqSvvAEPKzBxulxAkXB4Nvx/4pQi2vw4SSaCQzNNjUmES53BHXj8IrGJwhIHUtTu5WQAi5WxmodUOYjdUwRTw18IPgzG1qIMDbLEE+U9qhYwCd0zhp/tXsIGJ7DleKEedBw4sMVYLNBBWZxlsetMXWShsRKTxNpo2U5VsCG+KfvJ9jA9R96LgLMYEZbJNRuYCjinh53UQ0ZzFt3AS9RcABm2yj9apyXdnhwnl+KDIBmwmU2QF2CyjGsw770gbnIkSusaqHQTIAm0XtFu9BGKglIUNpQUAs6FYLJw6JqBrWEsnKMdHTFZbEUtXiKEMSZKgdlKCbcm+tvHezBmB+rAB4KESVZAU8hQnrerZBcAkF+FuDnFS3aUnc7e79qCMLeSwJp9Wiw1ezkYyJobKuRwYTYr/AGiv9or/AGiv9or/AGin5Y6s0CoECgNI74fDT5zwiQjTpuVI6ep1q97NOQrzBdehUvNdAsMTBYOhWQkjvE6f7v8AF1C1BeVdrASQizL9/hP9hxr2f4aEkZXQJmGWCUBScNs0+1amR9OuZoToGDRPWDijIVsMCOdZoxDAAIs5mus6IP5UZKTIAg7YC/pRmnopEl7sf+KkiUTceiGoPMn31f5TQyA18TiDqoxUsKNDDfmCkxNqizMd56w1DNOssW2NcVKkQrwGjbn1puE2DlR7YpuR2dBQdWMvFKpbyCQMXXaiGFE4RZwHZqR0+bEkT03FT+EVwZKIeSfFK8RKtxTqp+ZdjBe0kxwdaGTrkJK5rDOKCwMtCGOAeTFIVgtyBFDQQX0WbKiHAWFgZ6WBMlWsIJAG4zZMNPzSFCWJIwvCOSpJRww5AdMvNKsl+1Yim4K0M1kNBGe87pFwjcSjYYXCNC2Li6dhs+LVYZNIldeQcQyUChIek+urZTqEEqmFRGAxWtpeRxmrNqAeafD08H0FFvaUnd7e79q1At5LSc/1Vyb/ANtMlpJxQQDK8eiBvM+tFSiuWMcTpbVCx4FRcD2TSgG4UetB/ANot5sWVgHIQhCIKOECHQHSc8PhpslXey5fagZ2lkEft13QrjfR2D9VhYG4u2dKA5RBmJ0/3dPBpKokwUuxBSVv/GdlONYso7wVGEe6xh6mKBrDTzNOhlhAqVQ9qnwJA4UZCmhi6kYEcV2lOHEBM1ASjML60zQAG1oBlktm/V9irESJekfKf+NC3A5ALv5TVgyJTA/a0VZRUyF3y+9GpHK4j/Ugz2q5qaTJyusVlxYpSGDuZWlamLJSYbXnYp4OBIAEsRFoq7QeygZj0onoIkizC3Xl5pJhCggSkpwI1t3TvEhxBLYYMQatmoIKeAYJiN0SRHTyiPao7TEKqCC9/ikRZDEss4JMjw0q6WYCxCyWlxRtkh+yuKRhTiSiEO8LOFmrQynhlTrrdqwaU4MbGV8jepl9uARBf0KGMMyISyocvI3KseaG5WZzsnybKLCbmMEHcsWoz0Bcg/U1secyjcUX2JTHTVIAVIhg6rarQqjMBeFEk54hrIOKedSUo4aS0wBCZJ5Hb8NSE2PxvD7MlZtSB1S+Hp4fQ+Gr0tKTu9vd+1FWEiStJ00gYzY0oCJmhyPNQjAJFKC2KucIYbPWaE0BPpTv+FgG9c40tJ/SRTgxJ3/A4hQqA6Tnh8NPmeESEagGEfxPXrXzZp1KIUQCTglx71EvBYp4v3RsLHLOhnu+9M7XkXFLu3HrSi1mzDAEXRE0nWpqF8c89qeQwHbCz2pyyZEuCSzhpEes6jMDNThjuiSPJg+aK5xbytg/vxRXYPjKMaZdZvuOXBTFZgaGipFFkXe78H/jLwPlSiY72OnquKauhc1WTgpj1w4+VSUDIiEZmxqKlHAiAAOSnUC3jcrb2peSCDkbdmkRApTKxcrBSyRmWwbgp0irpd12ilZsoEFojeqSo+WKsh6fgIkQnBOFyo9FE0sWlzdJktQF5qW6qUuxjxSSCQDYMA5YrDyrWLgImElXKWNAEmZMr+Ba2ThgYQ+b1vUDARybcVXjg8uqPczSFhBA2LuNOKvQTDwsLffNXStmuEwkuWN1FEjZBeQqEBuOXoY5GKLR8rc7gjuKk2aQAUONYysmLlO3GEYlyTjzsp2W0tnu5l3z3qGGEpz0Sme4izUFhbKU6k0DYpAR2pyhYcF/z4offKPCcPWoIIknIzRp4rMy/X8niFDoDpOeHw0+Z0IkI013lbGC1Cu7AXb1iAYwmRXoM9auA22AyFlAvT8rC0SdQUINd6AbpIea21v9qYSwM5fhyddhphgJGwOT71oPJcEsESHDScF50dDKwhe1MDAJJANc3ptyJAtJgDfamBQJYJt76fH4hVDH2bHsH/jEuoE2HUq5GxKTMpz0opeRcDg6fNWyRhPU0dU2xiUjK4t/qrANcmyHN9daRMA0whb80Q8IDqWX0j8BYKX6biqhkefFe6oBQQy8IQU2TFOeGABNEn5/AT3nwUtsPh2IpxapbQCEAM2ogo2FcnEK5o0nV4OAqyDgHmkLzAqkHZ680tAbItaCo0xRRLmVpR9Pkk/EEWzgIgw403piMesSU7wGpjkSIgQGSA31SHzeyNmmWRctzSxC5XElLdkTmndmgMwiMdb1KXrvydRCPSg4Cd2gNr1ITkHJRSHwYUYaNHeFHYOSUOZv4Ks0kDvQX9mSs2qUzFiSz08D0FAPHAKFmNOf7VGwFjS3ZfpZo/KyHGMgRA2VCgLu/qmOTCgfEiVMeWbn6Ss1fw8pd7XPhp5LjCkHLx70JvjqH6qVZHRqHqAAQdQy3eGuchu/nEUiCwhExMmC3Z0qf8K5Isj5n8GylgCVgFg9LvrTWbBRhHxTyYFFILxtGfLNMxA0jgLt12GiicYX9Tah6pKIFGpRJIu+H9lK4rZIi+NvtqQTYmOect1JHZSue4FY59agwAkz1eh7UfkEDgP/ABx8lUbK5ZwI5E0YG0AhGpYLUQjRbZmwRwSyEmXO6al4tQ/dKy3QzIu8jPekQkhosFL9dx+eKgJmvu9WcXq4BGek1EpaCUkAcdKFnu7MIWLs5mkxAuhJMjltlqUAVSVurDyri6NTB5CojYADYGPxRufy/tKmeAlr003XJilBmoUXNQxyFnDekQWmiQTkNHsOSrMrUySyG14cmygwQrkeboyZOKQUy6pXu1axkENwq9ByphalJG0ek3+kRrQl4ByOk9qg2WoJiZngG9FO7ALAntNnNGGJE3OlR9mSs2piQzDaPTwOcClTbiTutvdt3ombFcSwJppLzMY1NsiaTZX+6VLM5YP+fFE75R4Th60xa6mWXLs+Kb3sTIbV71DSCS5Iz0tRN1lznJX0HWo0TNmgn+mjTQSwC9z1udJN0XC5yo1yuMbPMQoXBaqytl4BcOKIihAsXHRUYlkBtNhGOA5qV0ctktZEcrf7UCHRLFmF4lDogybPCihDJw1Pyo3wIsu1rjDQACL+zGGpVJm4yf4UQFtIO4t7Ul2RO/a3j/ymj+WFY71MiiGkMjZzqoheIG7RxjNL9CKuJh4LtCrg6ocpUDHsG8wzge9K2AO2NltvChJ2ZQltX/hioBaQNIUHKwUYUlZVdndr6vmv2OqsPKv3P5yBBYcI3BsTZRkmGydmVy/anoAiT6Dy4aYI05BMAZDR7DkphZUcqdROJzE0kzyGuVMCADhHIqyVrJROmYIeGpa3YcLNcDzuk8UyZf2PqfqmrwGFENcAoE7LBQwyxob2owBiDYnqHfoaRlUJB6dHjhyrVHLwBg+BzgUBRyWjrbe7bvUVIgEQjSGzSkxQ4AE7SKOVg5EjODYv0tJPRi5r+fFCr5R4ej1pLWQLNv0FEa4JTNzn2oq3FhxCJ96kvE6MMt1R4IWr9T1aoui7Ccg6/NWDguxbs4GfelRBGHfKSJ3FmpEF/o0dIAgInyRWHI2aaRMnIUr8JoGaJFuJZVwHVFTxU0BSpo3foWx2mksEkIL0D9UYgXEPepbgiDU/SmeSAVl6/wDliigESoTzSEfAFBgu2s+lQjhWBBFw2j4qIay4QMSxyL5qGNYzqKHM8UIU9g5JZPg9KOpnERhdHCOd1EhDcAdQwBatElOB0fyBCe8+CvsOWvq+a/Y6qw8qw2DCxfOhItYTATJ6POqWEkbERpEl9uiiwsqEThOKDIKxsOnk513p0bguA/Tlw3youTSQI8JNmh3dmQxGe9ZKiNd7Hf8AQUWlEKN0xDPFyoISwiEKeASR6qAUkJF5CF6w5p5J/LikSeny1NAQxBYsw7B2pQaB8QZRo7wFawobc9Rf4NTwVDZ6VHjh05rN0pbAfB96v0gBNiAGzjmb70au68pWbHV4phYAjeBDqIcUIsQ4JgB1sBQ4DCCLrrHxQluRZyuJ60CDMQA0WWoZGkz3o3MRMMBtDXM3kqLwscJ+NpUsKG+p4OqJdaIychw1F6dgn4Fk6UysGVnCJtw/6nwb0/VD3XSgURiF10ujpzV3bJF6P8A/7OSFNiGTIaGysNQv2EKOE3qo6MSEiXlO6EFqiF4sKkxPFNdSuBw/86D2KKESN+bhQnirGTIjtQGZY0irBS/XcVd5fcX4ugA63of6YJEG3oIXNFlRluQCfagA0DehT0GvefBS2INqErHNmovEEmJJnbihpsw5snwdcmKNQboYHkh2ifFTW5gKIIGlLzElPZkyiSSZhyS0FTCZ0u3QUdMJmD+lY0js/qs0FMgSyYw7MViwrBgLnrXDip45YsuKXk1lzNHC0rxDKGY9qzE60TInPWmCjAhEAfqgaIEVYAJjpSuOQxucxbDxRQyE2CE5WxSGSSJmNi0lSoeLyHlXhNNPk3kZPZYOzFINwOs5A/w0pQFbPSo+xyrNsLWO0m0Gng65pSYCC2IAZTg7N96KG2Y0s3PALyG3W9P4BIqdA25ktSPOcN9HgUYHeABZHHSmRUsBIl6UwOqi5d6v+9UtAVcRAOTjmbyUpOTQnujzT8ZNfZGQ4q6Pja9X/huY0iOHUdaFkRtF7cfbYwD036qe66U4h0hSOQ+jnbSKESpl5H8A0UBUohHEGhOKbJBXEgkrxMPFKgnAkx4P/RiF1GbgmL0JWLSYAWZvtuleQzNolzyUUsmKXU++QrEZPxaimpsKVWrVY3+FF2tYFkepUThrmrFypz4iFhzC8UXSgpkhdiOylDH4Eelm0I3mg4KzJBkFiLpnrSIoFpLsBnsHpRWYAaQY8Y96llUAhKwIysfNSD4+Rctdvs0pZIuNw8G2qRksIgRs6hfxUQDTrIWWeqNbqJdbkuBCSGMElNBoX8g0LlqvuMcg9jDZzUaoiVkgEI2HCUEcSpmrIDK/eqSA9l7YvOHWmHmgDwEuNlBbqXEuUDiAsMk3lc5OhTIkUCPK4OsUyJ2Lxii5IuLKPNc4KyScxHNOmaSpchc9NcVDNCEYUjd3mCaVuyIuFkrHRWLM27ZNh3pBhMoDtzco5EXyHRPLtRhKnqmVcT1p4JbUCJelYrt390ZVsIlrCvnVS4hlxEPJxzN5K1FFo/zUpMqSUPSrKYlbjLp3FWmxnyLKx0Yaij9RAE+2pF/g3NQ910pfV+j5twHykU8giNAYiWhMSZihAcrrLdf/AHwswEJgYabwV4iEGHmKsdOjAuIq0YFgGyKkbwWAhPkuVCNdp/EwtJIKSHCyIcRaJ1umcQxhRcyG3uUuTIkKBecWDq19UmKEHBLZEQM9b5vQl7q4GJFM4km9JgdnlNSky2ZqUQ6E+gbrTrDUNZWVEcg9wWaBWgvTDN+E4pu08FkiLoWE3SGRgiWIBptcp4p1lKwI1hDzakjhGSghy7USLlWlOtnHuU+ylZYAsgGd3pWZWsaySTmiGu94MyX60srQudG40xi1BS2yC6xgUuE6i6jePFBMEGHcJ9RahpAkAHZzi5U6hiUk8G9upaukZ8XbL7i8bp+hSAhLDhZGyU5QAIDJ4qVfOZsLmJs9abHglB8LWoCsUnm+6ACAAP8A4J9uImbBU6CEPhosCpzaLz1d1O2CYspffrdrK9VtsglsAJn7L9InHCJExpzF+tPIzuMik4EcUx4pppRnD2qbJS4VwG/CNAw8UkibSYOnfSsEPKzZISwV9abxMmaYOaerInM4yPe3mizmAuTLr0KRAYbdJKELnphq1FLBCxex1O1N6kDJIJOjOqZeRDYlon19KAkHGBlB1JxqmWcQgURXNYe5TioqFEdDrbG6Dk1tqlofDetHSB1iz3zSPKCZZIY4szHSi2TJTHvB8URN5T4Gh2rPcbFhm3s7ptiySL54JT2pluw2fPJTycpLzYR1LDptRpxsLIw9NBvJTyD+9DDc/wDhgwChCRKQBCTsLNpaXuYaGDCIbJCB0CDDfTTEJCStwxIOkKcU/mQn83D7Un63p2h5D61JDwYxBJizPbdRgLEpEisdigpobMLDBUc2ioHxHh+dCosET0sU1bJZMdjH7ptoFCBfGBSExi1EmFc9Z8UPMkCRww2jVqtUwk422ahqrGCGmwB/tTzEysdUetZtsDi4fi9IAIjs0FSG9Z5jdOQgghRAJpbPrUsoIe6rEDdC2Y5YlgoOSRhZIvM07ZxXbgMyW6imqCWQBFh2RPJFIwUMS4jrDT4Qb4PZTqWelD6oRMJyHViekUqAOFGIZOtg8f8Aw78iZEo4IrWbgnpyr5NFehMesqR2O3MFhN0EGEG5AXkVt2aO+rIQ6S3AKeooCQm834vU0kNiyP8AYetZtV07Bcu7qcSxoVngt2ava6EqLyid+tGR85YCosXSb3q6a5QOFxd67USYYlyBgIHftUXUgchulsRB370AsMogTMFmZpZlUkjhjs+lXDZUEnmzingJWDUQGGR5qT065tEili/rQgVybthhvt9aVhMaFTGV8kVIp85AHrxYahBRL1O5GovDUp3xZI5G2tZtUy+EUwWYEwxMU5YZBaxI9yo6AeDAJv1V91GVgFfW/wD8Qk0BYsAaltPtOVZPyfkvkoDQtWLpJE+KIlfSmH28CHiiXgBUieT380TNCQEZbHiD4pyfBZXZRugwWKYx1R10ovPpilhdkwnnO0lhijbcARDl7TBuSk3LjUSBgyGAnFcssIoiURg8jiGowmkZoctw0RHWodkrhJDGOWoa2SRJsLpRgTpVgYQFzN6YNpS5KjjmTpSV+hgmlG7LRhpJsGkyOhq6gwtJ1BZPRvTQgdlYPAnzQJAEC/5q4yZAJVkZJtEeEW56VA4JdBieBhHom5vibvpAgTSOf/ioIycFJkkTQNQAXUoPcaDdp+VPNMXYgGi8+KOaIoXKWD3UATC9ggdSsP8AdQLCPk9ahZhaIr4/NM2SRMJJJ4SxOoaum4McW5bX96ASJufYBsdtCs2CQsKVaB1z3pfIy6CKEwTBBimm4ErzTsFLthhzSaDVBCAs3Onfj360JmslWME9qFKjYWMrbnFDDSLgt2ib/NKLxBwPAjHmpuEG5NMnuNKSzIr6Lhq6HbJfln5q6w6Zk68UDsTyh41SCJgN5L9RKNAHCCWhr/4ty+bw4gH3Cp4FE2IDR7UdCGQJlh8ASnEe3FbD2w6FKMJgtSesN2iUAW4CHsDxV61K0QZpMLnipvkZCi0Q2YzR+hGCuiNYlUqHImEgYcMxQmZktwBVEFLE34p/myzPyYodPBCegChiyWEY4N70E4vMpFcO5QJO+qg10MgQhrDCyd44lHxLEsGwwvbpQzEZtHUhirYlFC8QY/dPsuCZ+sr/AAodmhE4xPDpKOATBADkGGOzSkXJYQOrv6TQe2iEJ4p7p06Vjy+KCCDH/wAXPcYHY0Z0SPlCKlKGXoiY7LV40sFEpk5GUF6JEfhJEN5xHehkLJYhHVl4oXKkZYL7vGbmKJKSWmFkrnC2etMKG98pIN+q1EIuosGAStE39aAk8B2RmRJmaj0XCi96HaAoiZ4dm15q27LBIAbbCqaSSKNbkQIlEOFJnnVZGmxIQHiUb0tanU1JJZDkqyUYA4td70MopWpnYb6KaSAClQOex/auPC898FoSmYeopajOXteg1TDLLmf/AI01FhhsUJ8ele5/GmVA2Rjei1Bw7zIW8F6kQNkRgme+IogVMkuWvL/tAmdk4Bx6S/S7RnrpdKRcwwwGblOMiCKgcS0lrNG6PLJhgv3nVJSpFUG5I7vqazjmBG8P7f6prWSEYX5nFDy+QWRNurcaChvtz7PSpjQoWERgKjhjTdcJpojkE5URhNQ7pKxINj04HCUhiIOG5inAVyeSfHRegyPcRmJ3mgEADp/8ckl6tC52jlo8TXvv3r2uhxQAkuCFfyFMBKjubs7tqkESoiYQuNkx6BSnRFuilULGyg9qVjUR0jCV21+9NzuJImDRpt0ndGsTsxV3LK9OKDm7StgOQJl0O1OC5ICZmLPFSqZkiYTuOqgRkaGMeO/W9aUV6ZBeAj0qNbdQetvii2UlHrShemEmlCri2R4qHJoY0dlNBTLAgeD/AORKWM7LoBB3p7z969ro9pT7rVwUwD3ChYAnCUXQsS6EMLHWpEYRmkAKnyp7NhCODgiPWjEHCBgSXMY+NVD1QIJwBNneaDSRLYkj0E80yoYsGTvegvSyInfa3ivY8I/+WEl6KCyT3r2uj2lPutVwSJ6Xfd9//oIQCauzc8k17XR7Sn3Wr8RNun/0Kcv9ErY969pT7rX3tEyCJI6p+n/0BxjItpIp7UTiBCJcafda+9onIzB9J/X/ANDJgLdC08NCSp2SvvaIZAYJX/6K1IKQMWcUhUDAkplQtVYCVZX/AMj/2Q==)
Domanio paºblico
Os humanos geralmente são muito bons em reconhecer quando erram, mas os sistemas de inteligaªncia artificial não são. De acordo com um novo estudo, a IA geralmente sofre de limitações inerentes devido a um paradoxo matema¡tico centena¡rio.
Como algumas pessoas, os sistemas de IA geralmente tem um grau de confianção que excede em muito suas habilidades reais. E como uma pessoa superconfiante, muitos sistemas de IA não sabem quando estãocometendo erros. a€s vezes, éainda mais difacil para um sistema de IA perceber quando estãocometendo um erro do que produzir um resultado correto.
Pesquisadores da Universidade de Cambridge e da Universidade de Oslo dizem que a instabilidade éo calcanhar de Aquiles da IA ​​moderna e que um paradoxo matema¡tico mostra as limitações da IA. As redes neurais, a ferramenta de última geração em IA, imitam aproximadamente as ligações entre os neura´nios no cérebro. Os pesquisadores mostram que existem problemas onde existem redes neurais esta¡veis ​​e precisas , mas nenhum algoritmo pode produzir tal rede . Somente em casos específicos os algoritmos podem computar redes neurais esta¡veis ​​e precisas.
Os pesquisadores propaµem uma teoria de classificação que descreve quando as redes neurais podem ser treinadas para fornecer um sistema de IA confia¡vel sob certas condições especaficas. Seus resultados são relatados no Proceedings of the National Academy of Sciences .
O aprendizado profundo, a principal tecnologia de IA para reconhecimento de padraµes, tem sido objeto de inaºmeras manchetes de tirar o fa´lego. Exemplos incluem o diagnóstico de doenças com mais precisão do que os médicos ou a prevenção de acidentes rodovia¡rios atravanãs da condução auta³noma. No entanto, muitos sistemas de aprendizado profundo não são confia¡veis ​​e fa¡ceis de enganar.
"Muitos sistemas de IA são insta¡veis ​​e estãose tornando um grande risco, especialmente porque são cada vez mais usados ​​em áreas de alto risco, como diagnóstico de doenças ou veaculos auta´nomos", disse o coautor Professor Anders Hansen, do Departamento de Matema¡tica Aplicada e Fasica Tea³rica de Cambridge. . “Se os sistemas de IA são usados ​​em áreas onde podem causar danos reais se derem errado, a confianção nesses sistemas deve ser a principal prioridadeâ€.
O paradoxo identificado pelos pesquisadores remonta a dois gigantes matema¡ticos do século 20: Alan Turing e Kurt Ga¶del . No inicio do século 20 , os matema¡ticos tentaram justificar a matemática como a última linguagem consistente da ciência No entanto, Turing e Ga¶del mostraram um paradoxo no coração da matemática: éimpossível provar se certas afirmações matemáticas são verdadeiras ou falsas, e alguns problemas computacionais não podem ser resolvidos com algoritmos. E, sempre que um sistema matema¡tico érico o suficiente para descrever a aritmanãtica que aprendemos na escola, ele não pode provar sua própria consistaªncia.
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Danãcadas depois, o matema¡tico Steve Smale propa´s uma lista de 18 problemas matema¡ticos não resolvidos para o século XXI . O 18º problema dizia respeito aos limites da inteligaªncia tanto para humanos quanto para ma¡quinas.
"O paradoxo identificado pela primeira vez por Turing e Ga¶del agora foi trazido para o mundo da IA ​​por Smale e outros", disse o coautor Dr. Matthew Colbrook do Departamento de Matema¡tica Aplicada e Fasica Tea³rica. “Existem limites fundamentais inerentes a matemática e, da mesma forma, algoritmos de IA não podem existir para certos problemasâ€.
Os pesquisadores dizem que, por causa desse paradoxo, hácasos em que boas redes neurais podem existir, mas uma rede inerentemente confia¡vel não pode ser construada. "Nãoimporta quanto precisos sejam seus dados, vocênunca pode obter as informações perfeitas para construir a rede neural necessa¡ria", disse o coautor Dr. Vegard Antun, da Universidade de Oslo.
A impossibilidade de computar a boa rede neural existente também éverdadeira independentemente da quantidade de dados de treinamento. Nãoimporta quantos dados um algoritmo possa acessar, ele não produzira¡ a rede desejada. "Isso ésemelhante ao argumento de Turing: existem problemas computacionais que não podem ser resolvidos independentemente do poder de computação e do tempo de execução", disse Hansen.
Os pesquisadores dizem que nem toda IA ​​éinerentemente falha, mas éconfia¡vel apenas em áreas especaficas, usando manãtodos específicos. “O problema estãonas áreas em que vocêprecisa de garantia, porque muitos sistemas de IA são uma caixa pretaâ€, disse Colbrook. "Em algumas situações, não háproblema em que uma IA cometa erros, mas precisa ser honesta sobre isso. E não éisso que estamos vendo para muitos sistemas - não hácomo saber quando eles estãomais confiantes ou menos confiantes sobre uma decisão."
“Atualmente, os sistemas de IA a s vezes podem ter um toque de adivinhaçãoâ€, disse Hansen. "Vocaª tenta algo e, se não funcionar, adiciona mais coisas, esperando que funcione. Em algum momento, vocêse cansara¡ de não conseguir o que deseja e tentara¡ um manãtodo diferente. a‰ importante entender as limitações de diferentes abordagens. Estamos no esta¡gio em que os sucessos práticos da IA ​​estãomuito a frente da teoria e do entendimento. a‰ necessa¡rio um programa para entender os fundamentos da computação de IA para preencher essa lacuna."
"Quando os matema¡ticos do século 20 identificaram diferentes paradoxos, eles não pararam de estudar matemática. Eles apenas tiveram que encontrar novos caminhos, porque entenderam as limitações", disse Colbrook . “Para a IA, pode ser o caso de mudar caminhos ou desenvolver novos para construir sistemas que possam resolver problemas de maneira confia¡vel e transparente, entendendo suas limitaçõesâ€.
A próxima etapa para os pesquisadores écombinar teoria de aproximação, análise numanãrica e fundamentos de computação para determinar quais redes neurais podem ser computadas por algoritmos e quais podem se tornar esta¡veis ​​e confia¡veis. Assim como os paradoxos sobre as limitações da matemática e dos computadores identificados por Ga¶del e Turing levaram a teorias de fundamentos ricas osdescrevendo tanto as limitações quanto as possibilidades da matemática e da computação ostalvez uma teoria de fundamentos semelhante possa florescer na IA.