به گزارش خبرنگار علمی باشگاه خبرنگاران؛ پادماده در سال 1928 میلادی توسط دانشمند برجستهی فیزیک پل دیراک کشف شد.وی که در سال 1902 میلادی متولد و در هنگام انقلاب کوآنتومی 1925 یکی از برجسته ترین محققان بود ابتدا به رشتهی مهندسی برق فارغ التحصیل شد اما ناگهان با آشنایی با نظریه کوانتوم جذب آن شده و باقی عمر خود را به بررسی این نظریه پرداخت.برای دیراک جوان این مسئله عبارت بود از فرمول بندی دوباره معادله شرودینگر با به حساب آوردن نظریه نسبیت در آنها، در سال ۱۹۲۸ دیراک اصلاحی بنیادی بر معادله شرودینگر پیشنهاد کرد که کاملا از نظریه نسبیت اینشتین پیروی می کرد.جهان فیزیک حیرت زده شد، دیراک تنها با دست کاری موجودی از ریاضیات عالی موسوم به اسپینور ،به معادله نسبیتی مشهورش برای الکترون دست یافت. یک کنجکاوی ریاضیاتی ناگهان به محور تمام گیتی تبدیل شد. دیراک در راه توسعه ی معادلۀ تازه خود برای الکترون دریافت که معادله مشهور اینشتین "E=MC2" خیلی هم درست نیست، معادله درست عملا عبارت است از "E=+-MC2" اما مشکل این است که فیزیکدان ها از انرژی منفی بیزارند.اصل موضوعی در فیزیک این است که می گوید اشیاء همواره به حالتی با کمترین انرژی تمایل دارند. این بدان معنا بود که تمام الکترونها سرانجام به انرژی منفی نامتناهی فرو می غلتند، بنابراین نظریه دیراک ناپایدار از آب درامد، پس دیراک مفهوم دریای دیراک را ابداع کرد، او تصور کرد که تمام حالت های انرژی منفی از قبل پر شده اند و بنابراین الکترون نمی تواند به انرژی منفی فرو افتد و بنابراین گیتی چنین پایدار است. همچنین ممکن است که پرتوی گامایی گاهی به الکترونی نشسته در حالت انرژی منفی بخورد و آن را به حالت انرژی مثبت شوت کند. بنابراین می بینیم که پرتوی گاما به الکترون تبدیل می شود و در دریای دیراک یک چاله به وجود می آید.![](data:image/jpeg;base64,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Yq5Nqdny9bmu1cpdoPTKw9gd+UmmjNQIVMFmlEiYJ+003rnkMQJSqBp9Eg2rHoSSLIs0/JJsn2bJoB6qMrWE3Nz/U7QfqfPn/C1l8mQqkmqdL6Z6rZKbLuC6vTXkl8aCyyXWPUlov2zQ9KXDE2GJ8MrRG2N011bDLzgypX5e5mS+X3vQ53lCSsVivyk2HSJn8C0pcwD3Qg3nBE9UccyC27FlPSaFs8j9BrO9EM/GcRN+JYHmqx5ar2H0VzCOuNMYrsCKwEVbKWW6tyZI+ESRsHcs3rr1hldbCulnVWNij6yk7nlcpXnGZwsiyLIsiyOq5asi71zerDe2XsAOMurJMFilQapl5SU2ZWtvoqVe05/tSdN5Rvy3pz88yWqLYtEaaHoApNLVRMeg1PWAC2gsbcGDx5iu6bTGPJrz/RM1XXwmd5zIc6HniUtvL7OQCtqz7rsr5GudFoL8kfRX5I6XDoLbGzQ+q7LTHq23/OkHr3TWYzynSa7Poad7h5kXC66WRZHVZNXJqR7pt6J1ZJN7E+dkUmLBXnygnVmTNpiQXIrz0iSGif9F5nt/Mur4SEgPUHG8TohRR+k7v0rc2QQeiqLljz5y0bCELWnvw8Mz6bOn5/saUvHAZ4eqpmiR7OjeTxOOdW5U9Pvt09jJNz8MuCLG5aL1aj0GLQItgSURhm+T7mhR9Lag7e2emc5/TdnfC1FakTAD+mjhK8vlnfKQ7VlrRMqMlpWibImhjjy2qWSwLv1foFlqeTIiqxYfq58SLMHvKTW3V9RlXeLsOot7RofqwK1YcXAMsvdCQ3mTG/Ib15IPI2MvzWsZ3kxAzqoihuX4O2aynO0mMNjc31MaoehGhsOlz9LomA57dMK4tBH2nBtdlj66dnZoujdp+juFO/ON2xH0r856oGa3fNdgk2GDKdvOiuKkZzHExDvis275jrNLnUBAC0v0pZFlrL6Rbm7eJrmNZlfGFVGEOptXwrP27snDfSZeX6emPyZljEW3VCfzaPWIjWJc8xisIRDxNodsa8uEO/cOJY8SkNKjpeq24/LA0wRuq1N9a16h0M21V4smAOwGBcNog21gSLsqzw9OyX7JoOnPhmTJCBtFieWSSrZrBYnTDEvnkaFJ4smNo3wKw6Xku/NZZnzUdgdWnXFkdLWrWRJOuaVnVufUgqhkwS4j2NfUhjewrK+Ale8gH2bVDr6kXUsQOYVYji8uqb4OEY4DDrXpcZkIw4LdNnJLPPEANqLJpSnjuklvolMCO1r2B1zXZryXldeNXo1JeTTNcRso0PUtFu1YL9csXQmwwst+Yl5lyRZt1aJGxPDWfQVtWlK9B+2KlCUuld5cRuP4gTzAe+aMLQVAWo+aWosvpGykurY16NnWbBn09zf0SBers3hgPTEcX1waPdrF3WXXXkfGVvMdirnuDQdTxlExwK+lG6rfOMElz5siBmaWTQkMaW2VVfWaUOHVr11rsemB7HjCaeIJxeyQ0PTND0jwdQwXRkwd2TS5PJWpcadW1kWUtxd5U4tZ1uaJICGobLdYJY2xuehwaG+L86C83bEsw1LKrQWMGLIsLHY45hl5JNftnTJ9LIJY5rqed8/1NVxfUZpfrBgYjHttRtjHsTJhmwjso15eXTscGsY5EB0fSnNg1fmoOdBYVku9l0Rdx6lGPFEITanqfP+h7juebp6UwfP6c6Po7kHanzsSlK+120QgbUmGJslmGaaixaEmx8YPNLWTqutd52bUPGZbpcy7+1skcb9Z7HjfAudz/JBcyfNWNEvSWYXRa3Qm53fxjXmKxlW2az6H0a+rEU/Gzd85bt+dcn2FcFsdfQAyxzK6GHiRjkNhhKvEdSs3zOqGYftT50TvKx2VAUXRCBzj/lTWkdie4NVkAipBCbUuFuyG3y9/fW9GX9KWn36hTsgLshUrFtKHQY7pYQgTCCYjq4thjKvzKznFNr0ueZYKVQsRSKZNomrITu7PiwKPfm8X8acqhQry0YnDDprQg9HZtLFdHiTaqU4fqFfmeBMdrXJ9jEperAGzULkqmEAhbuR2DdgAbgAVmbZocBVa4vLWrND1LgfWI2Wm3zaBnzUkrSD7F07zDOl5zKl5eBCtUjEyDfNwbWNB075P0+gU9RYg6iVBNLQWBLHFoU+WbMHQNoriCjOq1pSQwS21da5z80sSwrJBKrmk5mVVXe04elqWQ+j68p5Msr4omcnJX5hGD3umwdpU159pdR9uCh4Iz3NjnfmnH+hXJ+dkVmagi9aQN8vajYzeGwhE5cyVt2NpIORUEvOh0J9aSipds0AQqA5ErYfS2Yu4wocAz5Sn3zHS60/Hg2scHqHg6hA3H5ItbmycjDU2GSxPHB6JImZaI7eYmFR3eaYytt+gnZlVzwLedM/WL1kcLvPArDud6fU63uTedu0eB8op93ryXuXF7IJettD1TPO6T5kz2tZRd1fSxi3fz+c08z15h2DQirEL9McTEV4lqdJAMrFzdjUUwPpaAigxFodiS8tvEO1xCc+PYbZfs6JX0gO0qNngVzHHqmOOWJ+xX6xguiSN2bJn5LNhksTxI3CMsTZLMSTlESRaE6qvJbnp8qpBoK1G9HiysJ6LbOnJVSZEZXraLn9T0QnmtQhxvGK7tVnF1tfWwGtpQDJPLK6fka71QMv0v1OPihe5gzeFBsllMKqucSkUeqhN+h9Ti+gN8fy9D0eR5rldnYwmIQljHI5lt5j0Iba8O1o9hi0CAioZecEbnM0K8T9Dep98YquZe8skhgnyxdAsTxI3ScNEZbJyzPbBFlKuSGy+ZLwAvadl0eZq+tycioVNqG9LmXL/N0Fg2qGLxNWphwBdW0YW06fH8qvsBUzYBltpOaCgl0+jZamHF160RHzSewxqXYqm+PPq5MWAPQCrDQnccUrYti0v5XxexVq64RHCOmNMlMmY7wzVNg4dgHImKVIYqAhUQjc4UiL636BxfpeP6fia83MlyY8PUPB1DgdUsT8+GZssS0YyMnWabd9oUBVFKlZuoeg9Tl49Bgnapry1y2kURRN2ONmlQ61zzOrqunx/XFvDfJ6nqaxevXWUvQy8/RWpDL82W6nnK7+qaB6d0VfN69Zi0e0M1zCSDcQNLjLRXXLN14jSXN30VcYo3m0WIxFIX6BIXHZJBQxbXEsMdij0GLQISLCF54RecGbmhm545FNMPuiYDSG5LdDJE7YA6x4OqeDpkifmwy+iyVc2SzVtN4hYUawtZMT1LrczCc9xoclnwUwqSXF0XQ4yxiLapua3q8f1oHh/lHnemrhC9OKn7A7zLjK8FbwQul5gp0NY6t6u5z/ACjPtcoDpidHg37vLMteTMFpiiUerk2oxMalsecUdz/K6sYeilNs0RubhHBKGLAxZAPpYfS0G1htqjERFKiIVAUibbxFoFsv1hSJ1x+aWLoWK/VLF0iRuTjaIG3Ng8lEkq5b3IXKlXIJj0Xt8u0MlSc9rPrPx7HdOJS7tCCgCfXLtXLqfqE8J4EHtSQWpyO8GHTbXJl1sZp5u/2lrNq5Y3ZCxdoTlG6zkH3MO3dQAlKj0q5DqSBc1TQ84j0Qua+0LYuWRcHgHIc4g0Iba8GlRtqR7C2xx6HFoMG1odqQaXdRG2NLxoUvRQbDmeh5RJDwdQ0PRlyw/JCMMFCbkyxJW5SVKyueRe2LN/0uPUANhVOtabUt2UaktF5JCu76MYFvtKrnnfEOc3YOY9wKh6vOcl1mKazdMVOT6UovRSc7EOei88F3al/zxjKVkB3KjlMFcFdtFetZ5Yty1hU3q9NmRV6RdtoiQ5qPQBSK15+eMRKAi0OlmaH0rpG3iLQYtgslu1cq9kci9Wxxzx9DRrejoWOBSM8GcbZGHH5L0zLjZI3DhdCfJ1JlxgpsUV4NrZjS2pMjm9Q2ityXWExKDoeq9HxHz8Men2v9HzjY7TPl99Ctw5ELAFVV1DTY+rmOT5y36zGqdjPk5b+hwJ8HlUdrVSUuSx4Y0hsVw2Mwk0CAjFHVWd4ZItYEIiEZBt0+iLW3Tb61HoIZEAjc4Q3Og0uZly4B1KkiEGgRbXOtj1Jf10aznn5/NRVqzV71iHpw6TBNzGaDZL9afDXSnayrATCr6kqdOXFburXB76FvbKTB2nV8RYWj62Hn/Mt9fDJGttEMG1S2nDsY+hzjN9GdJOdrvZJTtYsQc+fm8ZRAMHJtgVIyVbGrFJPDJuKEkwTFDYfW4tCgItBoPS0ztcnLH0LKnD95cZCiNyMkfhUpOORGT8N5pjzUegvrdsXforBo1OsNx/Y1dL1rHM3gfUOV6OZ1xq8/Hmo9gDqTYO6amMOwOrY5xRMUZCXgHLNjNloOi6fjpTcD0gSXy4R4jO4gNJy+9RUpVm47827F1TINK4X6xfP5NzvZjWriBUEZGfa467kcxoWQ1eGMyg6xVlV2HjM/JWzA+wx7Xg2GLa79DsKYPp6Wzw7GhEbNnl2LXOqyJeNA4hY3h9qwaXW5pTF0ZCZwOc6HF6n39Bno67oKY5B6NZ6OZsMdAkL0omZsml3orWn40WTUtlL3m9a52n63k78/l9jXO+RTNZ7nXGrLIPR1I+2G/wABmh1eKoLENY1rfvzXX1pO7gef1R4rl9r9aQO9FYNeHxlkHxVToA/DJ1adWmWOHQm3iAgYrE3YoNqwbVj0GHQBiJwFUJKPSFmGCol5dNxwb7vVHLLNU4h02B9JpGD622PNlFywPXavoLtf0ZqnUlwd1anoz8mIo5mxTtD0BOUT3/H+yMeUbS/y2ZjzjnCXNvq5smlzbbw3cOLDCXHVAikIy/SRPV1K/azYi18UpqjtS3MOEZaHmuILbZTLy2ZZeGyJeWayPtccigpUQi80M3PH2ql4loheWbLLVxZsofkMIELGIqERq7shHyVA8gZx0mycK0esguAiiXsePQ9RpOV6+fDrckK0Vc6nya0Ok/peZh7nkvpbPnsITXgVkxwB6Qm8ormDEfVrLWX0iSmyl1ou9TEuzD1vZg+uCX6lOqSPBanWLJ1CmScDVINtUfYG3mPQh9rJKS8waEMVME3MBNzYdrTVZWGSBuuyaPQ2EBYFDAegoELIIsDPLIZVvd58eIaysm8dLnwVRiHoiHDHcGb0YenqU/SPW7m1PdIdHMm5CP8AG9+nM9apf5nZa8ERWKl7MxBJRhLyyuABx0tZOkSRJTajbpszNTOyX9L6Sr6Ni3ey2DwWtbtK0KbAdKjkVdW+my8O15OaAbljEUAPzq9jkiFQbY30RatJElLLWXNN2e7ix0Y8UyYHIlYlGGLdqWs1hVspZPQHi5BWnSpJoMOpzF1Nvb9T0sOuZpnOZbbT9Jyv6GMfgbRfBlOnnQo11gTNOl2ptatjdya8OpiiWz0nS+lJIkiyydHKyQcQxNVrFPVbDn+1eHrq2pn1lgyIR6BDsFpjrWez5/HNbadcxyc6956vNy2Xjrp1bdkjpt1aWW+5YblkTInP78+CtMK1aSotc6Ow8FloWqc/JbY/QHWMqvCdW8tex3v2TOfSgYu8DCJVAXWFNryrV+ND0Ly3ysFpCcgi5GSR5rqpbu9Pv0VsmaFnDpjjzXSP1cutOvaDHFiD3lLpsk+GdEp6bW16QBLSZqfDxlPikRt3uPgscuhb89Us8uPQllvyR1EWW2ZbeEvL5qy3syyxY0OB+HS5RJd6NRghbHPrKlsDtuIJG+P68zewxPQB49LAKgLrzJg+L2bywecgKHY0WMWTAAwbu5Q9R590vFpY1qyM3LqRkkcpKkt36G4UrUzQs58VpWGipMQeSPVJKSRJEk6a0O+sQp0M6TjJKvNt0mVdm0PCCVGmW3HZ2stJTbwl10rpH0SzhzdkrRyPMvL6NPah27Td6i93Nr6q1tfV67ONDdLuZMusbvXlRd42s24t3eWMkkUTEIhNhuYxXWvU9Xlz+ZqmOP0pljW6fWps6llOu+1G6Hrj7FkJvNKKqEWI7pJSSJJ0jZOkSSXe9ALvlodXOtcC3YXzVJa1jeZDAqz0pl4SZS6STpHVqSiyzVqWq/NQDI6b+lyrh3c+9WszJczmryt3mrulrYgjaQu8autcEq1Ll5MUI71VmwaI4c5lom/aZyyXQth9aqzyjRdCbDCXnpHVptjh2u3QY9ADKgGbn7ZkmVGOfVWpLowwbOXSLIlzpbZTM64bJ99DXIeqxTXky2ObT5rQbLU2OqwGPQ+lJJ0iyPyRZpljN3q10WsCYesMsW1r1BrnDGgM/QajGIx26tdqm5ylVsCu5wYTjVY7qkwOtDj0VtvAphbnKyb1s2LT3Lg787tV+1YL9afLM4mZcmi2AQ3OCPzRCIAn5gpESC69MaL5okIasaA+6UdRVTKjaiXH5KdhwyFj1jUL+mAZ5VPfKBoLyDUgqQQ0k6TpFklydJUeg9LMhzIaTWavIYYPZC9XWM8WrEuHayTM2GTLcgtYW1ElXpiwDJ28BZyNgfSegtNYVcTR5WpsmSZ0ECzhaubLBOGpsnME9NhlLGGVAYicG1otLtvNgbVrvVcPKXK4dXZdUAMdJ1XLTBI3GzIxFel6hT0+hbxTn5GenOqIC43M+LPSdIsubB2aHHY1kfRCoeLNPKIq7fCX4u7XMcimCIXIY9CMF0LUfYgsFcTkDkWsS6LmhJBs5Gxh963JmMQIPYp2ZcG2ZNZwIllrK6X0p00/O+kTWEldJ0rpcu7vz7zSoiiXZkIZuUIMCChI3ScNwbXFIm289V3anoD2MyO8uQJMbSFqfGfCPpFkmwyl5i0DpHVuTJCbOLQGaHNlhZWm11QToMghRSupZ2C2oe5JgohEAi89TAvtkp84ilDjyRrWk0bKDXdN9mp9b2JSYpcSyukWTpFk6TpFk6TpOk6Tpd8yWqBkbI+lll1rjHo03oVzgF5opFElJK6S2W7aly5/lyZzXKsWJx5zCqSS5M+iQbV6Ra0suTJZ7KNF30V9Ei0G0j8p160WEzJN5grEg2pcHZBwEVhItqzlz48x1gfFW5CdnVRQlqdLdJuTnxKoulLJ0nSLJ0iydJ0nSdJ0nSFxjdK+q89Z8iyxrW9PXYmp1puZmM86ChpL6V0liHsRFCjCxmgUQR3u2KPC/Vc+WYNLNvL630tat1bnskNYmwwt0IRI62ZCahoTBbjrDdDKjMGcNvDdiI3NgfeWFQeRwDq+KapzUGBpKWa6VtWD5JbDM56TpFk6TpOkWTpOk6TpOkfW/TeR9Txr3jKJrztgDrHj6UzfLzuubpjHyqwEkbeE1ChdDtZlwwQyjSZUtyEqcDlGwl1FoC1p1aZrDq1Jk0mrTGiMNikSg2qXZi8u15EkzT8Eg0uTTNvT4peezYkqR1TN6bnAw6t97qB4k1tlYbVdJoimDxVZgbq0snVOkWTpOk6TpOk6TpFl6NH1SXmnZ4tmv2RSIyu8umGLTV1Dud6KpIjn3vMxaFLkxI2rhT0bXOPmy8O13usxU42RyKpI/JEvPSSZKs0mxkCbkyWvNy23mbWihuxaGLarq1PvZUJOJ2Ed1heU28JJPvZBdChwbd1uMLI/WpJqKsTavR6LlBAWR2dOl9ItX0nSuk6RZOk6TpHVufDR4eokqrY4qEFYauqxm8U9EcHq5foeOhIstWWF/RoeuRnmZNzy1jqwsbSpFoL8l6RmhS5ORhkfazbxZC6YWkhiK9Itx+SFxuHQU3htYQei8uyhaj0AA/LbKW4WwVgqlqBYGkiydI/WpYbWlJj1wxWFJFkdWn1OlrJ1TpOk6TpOkWaOD0icOV5eUMVRt1YFutxh2SSZLFoDbz0k2GNCh6szWso95OYgGYMLA9I+iR6EtXZh60NjDNzVzs3DoBeekykn/9oACAECAAEFAOjWeMxllXs5wGXJoq6E9BHMo/DDvYsuGG03wUbqWxPnEBzKz3tXHQmXWQd5Wn/HmZmYRmKgBZf6r3hUj+Kfil8ttVdujpkWL4mt+7N2RS0WkR8CPkxvwOpl9veoZA/FhzFSIuIYYq9GOTR2D/krmbi4eg4av8dNk4BuOdW3yGYp8gRg2viE5la5gYCA5/5c9EOVYYIeEAwqR1TsKzhifIOmD0spDT4SDWgwuAGuhJMXopn/AFLXwP8A6OuI/aEZijoYOjmL3NP5tEX879H9qau6nAVswS9Mx9Qk69LKfiKipsHZOJY+TWuYEwL7SG1bfIf82u0u/PQPCuYIxwB+UMdfI/rmCnECgS8iJZ2DZh7RMZ8YVhGD0vaVrKe0tMUdD0A6OcxFlR72xfzt05FdHe04lJ6GeIniMnDKx8ZY/mvh3qrxDNmvDax8W/5qT32B2zM9AcQAE2ntKz2Q97HwDcTGtMLxCMsvfMJwUtzAY4mY5wH7lFi9o3cCDoOjtFGSBFODa0U9yuQUE2W/tRCf4Jb4y0q8rrIjU4bpbWGFOsTMY/5kPe0ZWDrTLDkys9vLDWdwY7YnnBZ3WyAgx6QZ8ZErJhmO9hmIiwz/AKA6AdCcQ9yq46L+dmv+tduChyGWbZw2ue3UnEseKTKbI1asHqI60fnYr/517qe3QDpWuAxyZV+LRgp3FgwbFjjE/wC0bERszyIiWAzwBjCf9upgBgGAYB2AgHQnEY5iJ1EPcWVZlLFQtgI5Ps2se2ehaM0C5i19KLI1gyyBo1ZEBwR/ZSMfxzPITyEz/LXORcMNAZjv+F6Uy6UtLh3IzLKp8cKYlJ6ERHjHMP57GCsS1IYPwOmYzZir/Ffw35QjGMTfTyFAIELRiTFTMCgdVOCwDKGKkWAxklI/rZ+YTiGwQ2xr8Q7MGzF2INiC4QPnrrnvsDv0q7y3sOlUslTYN3QwViPXiIuOhi/kwnuhMFpE88z48kiCFoTmKv8AHMqbtc3etuwfDbRyKD28lM+MmCkwVmeBngZ8ZnxGICI9eYQREeKR4t+SY7RmjNGMJMEUmBjBYZXZBbPPMpbveMjpV+dgZVRmJUJ44lsQ97G7eUHeZEYxayYusxn6Rn64EZIU7/iM0rJi/hzC8xmBcfwzCelJly96xLRibDZGpdgvXFGIHgtnyz5Z8k+Uz5DK7sQhWj0kSq7EsQGGOJ4Q1w0Q68/Xn65nwT4YiT8StxEfBd8r5zylLdyMhaxnsIzx+8rpbLarMF0WyNQCfHUJ8lKw7gEO05mWM+NoVIneNAsrSM+IxzAv8CZnpiYlP5u/Ctg2tmMmY1ZRtdwwdcH+WZ5QM0rsMakNFqIlmvmGkw1kQLABPETxE8RPAT4xPjE2bMGkGeMqGVNeD8YlNYyRFUmLrMY6VJDt1rDvvG2LDC7GBGMFDGDWM+OtYbUEO0IbSYzmeUcTyiRjAOhaec8oMzE8emYlgBtcY+VQWuTC3LGCtKSVLPkfwzMmCuYAmTMRX8Yt4MwGltBhJEyDDXMEQH+Fr+IrpLsqAQJmU1HDcfYSOMcQUV1z9ulQ3ItLNix4tbNF02g1qxFrqEt2PGWbLkPsWA17JMADR68A5BqGQ64MyTEp7sAIzQvPPoFgWYmY1oEs3lEfkWM/atY/ISrM+S7zyMFriU7T5a5itW1FsDdCYFJnYTJMCiF4WJ6paRK7w0soBj0kT8QMDGrgPWweU19YmLpKgO1Qks5B2B27TCxM8DF13aLpgQtSkbdM+RjGeUmXjo1YM+PEqbELieCmZ8RZbmfJK0GHYLHtzO5gWBZjqY7Sw5jIDCAJ5z5RjyyS8wDGEQd8nxLHNbERNqJgxrhA2ZmZ/kGIlWxGwQ9YaNURASIVBn4ioWlemqx94gKrORqYnhUI+zWgs5NpTda5exhBYTH/ACiwnEPc0mXiHqqyxYhj9wUnhKckWrPCdhGvUQXZi5MxC+I10a2F55QxkEKT8dMwtKR3YdmXJXMqGY9eBUkAx/LMzMzMqujDI+SNUGjKVlWubJ861Dxe0+Fdcs5AmPcTDtASy8GNseMo5BsnfBlVwMxmAYDNBKpaOx6qY0AjiYmBihe13aW3Yni7xNURUAhYCNZGsjPC0zMzMzCenaGeOZrUyxOzKZWhM7g0sDGqKyuwMPARqzCP+Cu7EIVh/ZYqjF2x5SugAX74Au3DLNhzDYZ8hhbPQHE8jKLMSvYxPlz0Eqlh7N+eiz8wCPD0S0AXEmfDAoELgRro1mYzQmGHoRMzPXxi1yumU1YFiT9fMNeJ4wCa9nlL6CIthi2QEGGkGNURCcTzE8xAc9avLIUItlrWGukJNq3vdkkxu8IgEImJ4xUiCAmJZiLdEfMRsR7xPMHqBAOjQ9KrGLVKCLK5aCI5MIMOZ5TsYVEIhEMJ6AQCKsSuU0wjAY96x2ZIRAkA8TWQ621YIML4gtaC6B0aXIs8WyjkRP7RKYoWtbLGtYYqll/jLX8jPGMkFU+KMmJiCLBAIWnySu8CJtCWOGjeamvdIlewrRTFhjQ9Ka8AORDsR7gZY4jsY1hgaAzynaFRGSFTMRRFWIsrWUpiWwDJAgWPTPAiBAw1SQ1ygNeCrAQtidzPCMTnXzBQpnw4ikIGdrGXFcutCjJcOMQKSTT2dJ4TxjiHopgaBoYwmSILTFuMSzMasGBCso2MRLwZ5iM8855xIY8sWMhhVp4mBDMTExGMLQWGCyIyxFUxaZVWZ3AdzKxADKlnxEx6IteD8QJ2BlfEWK1az9dYddjDpvBqAQ2BJWXciwIACxrKqH7S1vNgviCvkQgEx2KwiExhCs8YRMxWivO08BPiE+OBcRYO8arM8nWJtGLsAzM8okMaNCJ4ieAhQQqIcRnjNDMRViCIIqykERnhMVewWVrK1EsTtYDKWOMdq+zMmCGAnz4i3kwZaeFaxrIleZc/ageM2GIWioSxslRCDEj9o0K5nhPET4xGqEZJjEEBgeBp5QGCAxYUBlmrCjLE2CJ8gxTbkeUYxjCYWheGyF4WhmJ4xViiAxHlTZi/h27qcxFEWrMFeIoxPHIsphTBNyiM39rArEVoJ/QQPiFyZ+IbgJZc7StmJCxh5tefEKmYteIQIRiXfkCU1KAKQ02dTxh7TMOIw/gDA0BEEEBitFMZAZbqZnwNmh4DCIVjLCsI6HoBPEQIIqCFBPGKJrrk+PZkya071iJgR9itZbviCy5p8FhngoIoUhsZsAQ+S4a3EWyFjPDMwonyrKvAms5NYxLD5NWBhjPGPLVniZXcyyvZbLnyW+vB8TGUxh0zMwdMwNA0DRTAYp6eAyAVNYyAsZIyRljCEQiYneFzBZBZPOKuYEmuO7H+pfBrt7pfiJeDA1cFiiPsS60mBu9EtGG22yQcRCDAkxCY8aa3/wA647OcADuBFQw1z4pbVGrhWKMFPxeITGIjCFYVnjO8zMwGAwGKYrRTFMzDQrQJ4wHoyxljJGSEQwwiYmIsR8QWSqzuvdbRgq3cWd0ti2ZnnC+Y57J3Ze0vH99j/wCiJWDB2GZmOuY811/prHvce6L3qpJi0gQ/GIGrMspBj0iPWJ4DNY7bBjGFoOhImZmHoIIIDFMDRWnnFaExrPEpeDM5jLGEMIhSFYRMdAIqwLFOJpvmW6uZbreMbsUaIYTmKJcwxrLlg2W/Lt4MTWsLqJ5loEMKQLDWpinAqYAvchgtxAbmi6ljGvUrWDxEuaWGWExSSR+LzHEI6FjC5nlAegUwLPGATEA6CZnyQWwsGliMsq28RbQ0YRlhEInjGWFemYrxTmYldpUruqwu2VjnMQGA4gYR7YWzPL41oMuPigRs10MZ4IOng0IAnks+VZWAwoQMfjACWkGu6E5jNDZLLo9gjmIsJwLCDHEcwvGboFipFSACDEGJgTxE8YBAsxHWEmKxinMsoBmGSV7U8gYYTPKZEIEKQjoHIgtnyZnlMxO4Uxu8EYysCW2FjSn9b8sa1ChnLQVgT5VEKkw65M+LEwJQ+Gq/q7SxcGtjlLBh2jmFu5cTIi4xaYyx1MdTCkKGBYogHTM8jPknzQXxboHgPR1nx5gqnxwCGkNH054MhWwNHEckT5TFtivCAYywwTMQzEraKZmNZE/sbLMDUr8mMZwkRC5sbwhrZj/VAdyDZcwXQ3LP2Bn8iz/5+XyHyYK3GfJmWN1RIewtaM0Z41hnmZ5zIgxMCYmIRCpnjBXFpi0mKhExHBid4qzwnhESeMvpBl1LLK7oag0bWMekgoIBCsZeqTygfBDx7YGzA4A+PyNNeA7hJXUWhuIhtWWP2uzmueQhsmCZXXiUW4NZyH/ozNkeRES2WtD0rlrx2jmMYYTBBBBBieIhSeMCwRWiNFUGfEIVnhF6CKJmNCAZbpK0qpZT8YxdVCkPaZjmGExWnyxrMxLJ5GK0oqLGvXMZwg19fzl1wxY2YQwljmIxyjJg0qZ+qZ8fj1ouxNlPIec8ohxA2YYoyS+BZbHsjPmZ6Y6jqMwQLPjgqgqgTEU4nn2B/gIBMxutSgywYjDMeuWJGGI7GeUz0JmYh7mVKTNOoy28CU0eUusyHzMdCoM+NZ4iA4i2mfIDCgMKRkMS+WriDvGeCzE+fMRpbZgPZmFumJ4zxmJiAQCBYqRa4EgXoWxDYJ8s+SKk8IR0UQmCN1qlvQDMaoTYq7MhhGJmAQrPjYxNZjNbTMr1ErFlxaJQFFrF4GIJUNHQiY6YmJjrnEVzPMGPWDPIiWnE+QiMxMQxXwLrZmAdRAs8Z4xUi1xa4EnYQvC5h8jPiYwUQUifH2nlDMxYTP8Ao9avxae4gGIzd3AM/WVjsaAyNbxletmDVAleqTE0goNirErewnwqllhYrYRAwMCkTAMesj/iJlrQt2YQtEbJz2f8qsIgEJxPOK8BiiKsVYBMTxnjMdMzMzP+jZPknnEOYfwPyWmetf4sPdRHaCfGSFqYS2ixzXx4EWqpB8lYh2jER7D+ulct2iYtmYV6AxbcRWBniCLKMfzxPGN2gSFAZbrSyphFBBLdi3cGBhBiFMz4QB5KILRKwxiVmATEzCZnriAQLPGYzPAxKzFTE8gYFjwPiA5gif8AyV7hDBqmf+SQ7Ua5jMkxaLGn6VsXRGPGiuW7xMuuMr7wiK5E7GEdAYl5EVw0sojIR0xAsCz8RrJjP8GQGWawjauQdNs/A4jVPBQ5ia9k/TYhePWJrqIFx0zM9cTExMQQtPOCYlZlrdlnniEZj0EyqlotEDIoN6CNtGFmaJqO0GmonhUobb8I2/YZXssTc5zmWWBQhNjAY64IgsmQZ4TxMViIl2YQDDRCuISBDZCSYB/PwyHPiVIIIEwMARB2b8iZmemJj+BMEMPQIYVMVCJ8ZMFQE8VE+QQ2GZYz42MGu5g1YKqli3qsNxaMZntY/fzER+98JloJlChR5ieYnkJkQkQzzxPmgvi3RLsxriIGDR6TPHH/AAo2JemQjkEHMRexEQx/z0xMfwzCYBAIxhPTBEDmfIZljBWxnwzCCfIohvxG2WiXMQ7nK94FEziF4fw4GcCBY65XEZZ+IzT5J8xhunzwXQWwNAYkHaKQ0dSpW2YBjJPCeBnhPCeE8IVhMDZlteGQdkMYys93Ex/ImATEAhjdMSpyIHENgE+eG0mFjAOhmIg7H8pC0ayZg/8Alvz0XurjuEjJHSFIVhExAIoirAsUdKf/AKuAjLiKxEDZBYieZnkZ5GeRhcz5DA2ZgS6VDKgd2EqHewfyJgHXM8oRmePSoQiMYOjGK08uqRh3SP1BwHHWo9nHfoVhrhphohoi0wVYgSBOtP5vPdWjJB2jDyHUtCYBAMQy04mucqDGEX8v+P4EwD+B6AzPSkdsR1gPR5meUVuiSwRI/Qfl+wBhHSk97h3/AIkTAmP5IcG0ZEV4CDFSWLgxnhMAgHTEvHbTPZkBlgIiNG/HUmAdT0MEJx0zK5mEgwr0YQjoIpiGPEMfon5sPTMIinBtHb/mRshh3gMWwiOQwsU9FX+Ns1hAZYMgriA9uhMA/iepPTET8xp5YgaGETxmIogmMgCP0QR/z/Bu6/8AMWxG2P7A56E4ivC+CqAgrj+LiUjE8ofxAO0J6AdD1MA6GCYmMQHMIhWCGA9MQLAkA7f9v0HYfn+K9ww7/wDKfxevi2tZkR3iN3KZCHBsHYETPQCMIOw84rZEH4MJgHTP8VEMMUdG/CGEzPXEIi4mRPOfJF7xxAI34n5hHWoxx3x/wY/lsVeU16yoZoYiRPwRiO5w9xU125i9CI/4LyhsiLG6DqBD1HaNB3gHQ9BDAIFhMcwPAc9VMYQRuoM/MIiHvYOmJj/kIjdoTAMxRFOCwmJfVmVV4iQQyz8Ga56CNF6Z6kzMWGNEXqYYYO8BxC0aY7ERDB0BitkY7t/EGD8se2f4YmP+ExjMRFmJiL+CIRmBIB1YSxe9J7qYsf8AIh6mFoveCMYBmAdf/9oACAEDAAEFABMmaFJdthPirsty2rX5toWfGvM8mXB7mtIRgM3fWU5vMcHPBbPiddvJPY9fyS+shoDEoLw8a2LEKkGFT0VTOP1JYPEbe1CSf+HPTExEcrKtx4NoiWOGhQ/wVsQGBzmxcwiZmteUbRuFqXU+M2qgZZrkGquBvE1bMuHkti4PQdzw2n25I+UtX++ooAu28Dat8jWO6jEutn5lK+K2Pk2TjLvB+Ku86uXUNVtnDY74nDVhmXjajXz/AB5qsmcjGDo6/kaavBdrYAFmuzl6yp/iIYP44i9oRmN+RYYQDGGOgmZ5d1btYO/TS3Xraq4XLsriWt3Y4B/Fb4Ou2Ru14bpo6/m4xTXtWZHx5ZW8Q9mS2CVUCOcQ/nWr8jcfFQcl/wAa7Yfgt8fHyO4Cl1fnZdT4xpxmx4HW9hrCbuzRtJv6qqUGZTreZ0dYKNy8IHv87OK4yuyrn9AUv/xnqncWp3xMxWhQEBe57dEMIzPjEKiH8aF/ibmR12gQaX7mkEPSQabCJsnyGO/5PD0CbtuZa2SteJexjAiJM4jvmAZOtWFXZtyUHez8KcHjtsrNjdLDXTyO+mIYjEQ2kyradJZcXlVLFtHWxLbwg39zyIbB9a5ANX7Pr+deMf8ANUe1n4GDCmJiI+IqiP8AgwGDEYiGyVqWgpIlTsstIcWUlTQ2VsUQriMYV/tr1+TapCLsWRjlm/DDMdYolp6a1GTawVS2TroGNusfHxMpbE88zjq/KcqMHHQDtNcZmnqxmCje2jGOTOM3mos3uUS6mwYb/lrOC4yAcQnMwZiAYFh7xR2CmOsA761QIGvF0sjb1yhFgMqjrGEYd/GaaYgfts3SvJIHa5iCWMZsdK6yxUeC33FjEcg6t4M2tHMCkSvOeIq/rzAw3TESok6uriG7wF+5LD5QpjqlxxYM/wDLmA4JPQHEPcKDljG/MQ9vLuTH/OpdiarhpXWMchqgrt0lGqvIItyHeE9wP60JLLPEWWebVCFwBa2SzQmInkaawg2djPUQNNXfKFwlsfXZG4NQyczX/fxEKiVVZNVIEe0KL9zMJJitCRGxCIPzmGA9MTBi1kz4GhoaFSJiYPTMzB3DDvFaIO7sIT0T8P8AgfiyJYVmpu4OnvBhc4K8ko6UvG7w/kf/AAv9RdcSaq8lVxLbJY8JgUmU1eMu2ITn+CjsRg6zlYlwacKyhecpxY3aV0ZldaqL9gLLdgt1EMBIgM8cwCH8yuotE0yZVx+ZRxRMThez8IZdwhw3EESzjiBZqlYRAsQ9rB1pMsHbog7MO1IBW1COlZwdfZKwcgcbd3l0XtEOQR3Uf0vuMrXyKV4jMMXMITErLRKwguvz/ELFQ4+GIuAGnBvg84hJWqEBZdsYljkzExMHoojDojQ94Yi5OvQJVQJRSBKFERRCBLEEahTLtJSNvRxLdHuNHANZU2DrT+bFyvhmeAizxzKMqXp8lakiLUZgz+0Kkz4TFpMGAC3cMPAKWNVWIewtsjAmJRC4WPaW/gFi1wJiLLHAAczyJnC2FG5KgOmw/hLNsmFyZ5Ty7ZnlMwNPIT8zxiEx0zKjg0WCJsARd7ETlQIOaAn+aEPMiLyymHkVM2NoGVV+bPoha7tcZbUyTqMJ+u0roYR1IHjMQCARR3pbvdQIQBGZYbkEO0IdhjP7mfrvGpYTDSujEZgoe4tFpJhULLLoTnpiKuYK4EhcCGyJZmMpIqqMrqAFW0EOpyK2pymuyl1wf5YmIGxA+YQYMmFTBcwn7Rh2SZ87Q7LQ7LT52i7TCDeYQbrE8BQWnK8gqw7AJLAM2MnEz2cZDIZ4QuBDsKIdlobnhdjFqdouhcZ+g4lWqmatSoA0eMdpdMwnANBY/Eqyy3EtsJgBMFJMXWMFEKgRmhtMJzApMqpYlNZjNfQtY28ZeBZx9012tpZbBeu7oEQjB6gTsJkzEAmIGAnlAYVh7Tt0yJj+Ghqm19zfTVpu2XsIZolrEG5obzBsYH7igWbZMa1jApMXXJg10EKoJ82Jq75RtbaruTfr8SzYNN5BrsDi+vvahmIcA2bSiPczT42MXVg1wIcCNcBGvhcmBSZVpu51fXrHmr6sglXCayRNAKw+IRDVGoqaWcXS8/wtSy7jUach644l+o9RgEzMRVJhrCzzhJPUMYGhGYyY6fmZxMZ6KuTpeNFe1c1rkqIbZ8zQuTMwVsYunYQNXE8EWGyAwtPLIcQGa+21ZXkFtW2gQ5WU7BEqs85Zrgg6g8vJniUEwUAT+oj3AR78wsTCp6KMzXpmooWU3MArM016AYaiJcFwaO4YrK2Jgft4gl6u25o12Tf9exH1bAV0mI+BUj3CE564mJiCAz8wpCnTEBzNSqbOxGtJgBMXWMq0QRTxeRq8VWs3OQoVLt3yBszGMAhmYv4fqGxE2CILVYMgiOyyvdODf38Qo+bEs2jAXeV8ba8bjwkf41jODE1i0o47Mp4/Er1sQVEQEiVbDCDaYzyJ6eOTVXiP2Ab+wslpUi9wCFFh5MsjW+ZOIq5mIBMfxEJmYy5hUiImS+1gAM5p0SZRw1jSjg5XxJWVaLR+BSwbPqqLNr111FuhYkNRE/EZuimP/ACEQMRPlnyCfJGtzErLHW4byhOvrjZ5ljLNp3NdLNKNLMo0wJVrASuoQVCfGJ8Qgqirid4oMQTzxL7+1L5LWYBrLFQk26iJYEuG3Qa2asGJVhSJiATExMTExBCICZgAWW+Uo03eanFATS4vAq0q1gUCHEPaeZhOZYoM39JWG7oEG6phMTEURoeohPQmZnl21tUvKwtQ2eUMfYdzXrM0q46VaWJTSBEQQCLAZ5QCeMx084bY10u2JXsYj7xMXYzFsivmcpqeBtxctqsjGzsDCs8J4wLBrsYyETExAYSFDuXOpoYGhrNZNbSWqIIOrNC0Nke2W2ZmwoMv0w0u44w6bCLrx9JsWUsp6KemIer/AB0V7Oz5lavI62gCdXjBK+OWNx4lmkwhFixLmi2ZitFi9GhaM8ayW34nyZOezExLTlLIbCItgdd/XNb2kXIywLA2JkGeLGauoWL6iKm0v9vGFY4ChmLnR0VQa2obzrVLWv5iuBPmEa6HYE+SFo0cmWPLXOakzE1A0t4jMt4gifE9Rqr17pteqq42uGupPxETwhEYdeR3C7LYc6rAzVpJmulglJngCLRiORComIsQiLiGM0Z45jNLninEWzMZhgtg07AMVwYHKNylQsQv8Vty4MSotAqrA5zpWBV29lWjWnIw0uZaoS1jamoqTjdVtt/EVMtvlGt8Rbtd12TDeTFeVnPVlltWZZUQayJRdiJcrA1qZtaiEX6YU0bz1GvequG5w9bzY4h1lmsyw0xtcz4DnZ/+lE1+00tnxmtyIEXfrjbyR9kGFwYzCZlQMRZ8SxqZYjCMzCGwSx1hGT8PYJgvLSRFsKyrZEW1WVNjA5BJTZ5rXUTC0UCVlQXv7FC0+PEv2gIiNY1Gp8QZDdZpULTW1xtcWeIe0mMcgNKwTAsWzEFmZmAwjMspBlmsRP7LBssIu80O4THtzLVzCCp1eUKyu2m6bPEo43OKes/HifFNoYZD3oMriuwnzPBsPE2XiXMYoZpVRmV1Yir0OJaJYMQmX4MSoSwYBsxPlBjqDLQBKLP7ar9tvtNv+0oPjYR28WnxkxaFjrgWbipL9t7JTqs8oqVBbf4p67q9uR2SBRWEVzmDEc4lQzKxiZhEziC2LbFeZjAR6wY+vGoIhrhUwgywGWAiLsMh0+fZZTyFF43OHR4dFw3J6RVxQRKKzKq5XXFpEXXEGqJXrCV0RK8QJAkIjCOI6gy2vEsHcJgbA7XZgsIKXZlveH+p1dzEu3aimxtV5Z/7V8pUFblKo3JiPyFhjWu8r1XaUaaLMQDA2m830iKqtRDY1tuC1uYGMHc1riA4nKci9Q1+W2Sdfa+QeMXMToR0IhTMemNWRGBEaWKDLapamIm09Z0efZZ/lqivL6/d0AKMBKrRK7RK7YjxMRMRSIpHTMLQxhLZfYRGt7m2W2ZlwlnaG7xj7mZ5WMa9G6w1+usRfxYqjAZ1uJDr/iqRG42gSzWrWeQEGxiI7tFrcy5mReNBsvsbMrUJXsAk114jRIHE841QaPrrioeLVuMeYi2CB8zE8YR0MKgx6hLKpZWZYssWW1xu0Gy3jdct1e4xVmvMq2TKdiU3SqyJZEsi2xbYt8DgzIjMBLNgR7sy6Y/sa8x6e9mvLNWNpwacq05q64BC/wBdpcy9fF9X/wDiLZlrES20wvKzKjKvzyjYr4c4s1x5WWns+MtYBDaJ8wgu7rbBZC0c96m7eGYlBleuYtAnwiNQI1MauGuMsZY6S2uW0y2qW1zw7ruMhvuFssQiA4lNspsMpvMqviWAxTAYGi2mfKYzEyxCZ4mMnawYZe4Ze7JHqnxCLUIFAlX5xhSPKbo/9dcYqJlktGSa4iSkSod+VGa+Nfxs1D3ufA2NnBs3I27F24mzEvJiWmCyM2TRKllaiKP4MIyxlEcCMI6x0llUsolmvDrd7ayYqkGnVFo2eNZZ4lTRbKXzKzEciJfEvBgeA9MxjGYTyE3VlfJIoo3UtPjmOscxTiWWzTyTuv4qV8a1Q22lnUfI8almhqxG8REurWLvVCLylYm5v/MKHVTRzXxy/n7bA99zxaHMTU7fHiKe9JlSwJ28RmlBhBiI0V4HnmIbI1ka2PsCPsCG4Q2w2CO4jsI+JgZ/UzG0DK6nqOpfVcN714MLtCyo1ORKbolgMDxXiXxLQYDAIRHWEGFPIbXBrZNHiV15mWvMZJUxKcylAsI+a3mbvjq0KcK5hbAt5ECWbDuU13aLxzmLxixeMqm5x6ImtWHOnqVA3aieOzrYiHBTGGpzPiOalMpzC+AncqxErsMrbMXoWjviWX4luxHsYxy0YvPlcT52nzmGyM8NnfWtBKopF9Sy1PE6PMtWSuvtLu+vEQ0NWaiIgzBVPAiKxEr2JXaDPzCkaoRlxAY34Zo+TE7QkSsTYsIGvrCurlrfnuU4O1sokstZzToM0qoWueYENyzyJnk0sORr/wBbdVchDldtRh0waziI2YtRMWsiKGEZzKmMDRXEqsEWyecZpbZGbMC5grE+EGDR8p/isx+GMt4wiW6pEsQiZ76uRG2ioffJh2cx3mpyD1Np8yri6urYG1ovSde2a1SvP8aCLtArLNfERyppuzA2YRCuY6YjNHyZjExmV0Fo6+I1Nbybmd4U1qhA2NorEQua9VUHyRPJi1QAJWFhMmIvjNivvxpBLUBDbUpltMKkFB2T8F8T5DFyTWcRYBFQRVWYEYmOTMQYgErlT4i2iPfiW7azYdGmyohX+3H7KzdAxbaQRsGDZgtzEvImpzL1HS5jX2Rv8WVmvvtW2tyykftIw2mGbGmu5iWRW6OI1c+AxtbMq1YKsD4Mx9laV27Tc+1tyqkuRhYrYlOGOtqpjfBE8WnxzyVY9mTVhhpMUZGFtYBBZAZZSMgf2AEZIwlKRUiKYoiwQnEYwiMDG8oLnEr3SIm6s/bWPsrLr1MutEsthYeS2EFdxiLjnqszGaLawOj7FdVLN6q+fslDRy2J+6Hg/tKa4ixRAJ4ZnwT9fstE+ECFBN3ZWtdrZDzf3y5rrzPOBumkcG7dTxt2GJ+VpnMYwmI8qxYNC3BtpzDXLE7fEYghEFeTXV2VDFWAQTyjGGGNCYxEdgI2xiNu4j78s3zG3CYdkmfKYyxY3QQdH61sRDacfKc07hE1NoGa5DSusQIIFigRcQCOMQt22t4LN/dBO1us8qqzGIxiAzMS0rDcTPKeU8oDmGFMDVuatqQHXVt8g9cZMn9YmLpYj0gSqmLVPDEOBC8NkNk855QtHePdiW7Mt2zLNoxriZkmLQWiaLGJxhn+O7PXPGMOg6CP1SMeiiUWYnHcgAaL1YKuYKWgrxBXPJVF27WBvcyqzd5d2FlxaJUI3edxA2QRiAzMzMzMzMxScvZ3VwZo7Zqah0sFZyPgUFVxHjJk1VYDACO0PeERjGsxPmhuj7Es2hLtuWbOYSWi0kyuhRENKz92lY3KiNyrGfvvkxkzGWfHPDEMBjHqkeCDtPKC0rNXlbEmp7RZXKvY/kFnKLLue8Zfz7mX8nY8t2iYqs5+IIGbMDTOZjoZmZmZmZmZnELdKkczj7fiOvetpoCiPVmNWRAO/lgW2wHMJldLOf8AGkjY1PGOuI7Yl9pl1xj2EzygtxPmM8zO88YK4K58c+AmfrtGozHrKwNAAY1UIx1WPFWExJ4ZlGr5TW1tamvb5gNLOQzLNsGNcxncxa5VWAt1mTjpmBoGmIR/DMz0CkxKwIdgCNsMZVtuh472QrNPlKrASCDQCbamEesmNWwnyEHW3AoffMtF1hfX8Zs7FSzY3FMe3M8piBIEgUQYE8hPMTznyRLAJ+ysa1TLgGlleJ+JVbLNQMtlZXophXuQYqTyVYdiHZcwsTMGBDDURBWICBNHWNjb9oWAwiZz/ANB3hWEdQsCzzAGSZ+P4U7T1zR56wSnncS32JDE5ilpVva5n7Oti/ltNI/sNKHa9pczY5WyyPazdAIqQACZheGyeZgzAsFU+KWZBZoHlbSxMhlxEE0rABvaqmfBP6iG1RDeYSxgpJia4nwKA1UFRgraPW08TNTSe1tlU1KLX8mgM7GfiZmJiA4gbMIzAsIxM4mSZiE/yVsHW25ZSLVtV0KWOYtrCWWEktGMMC5nh0LzyMz1VIqYmQJ8s+SWsHmIBPxBYJbYk+UCHZeG1zBU5nwtPggrUT8TyitFOQ2IDFxFUGJQGOjrpUvK2Nc/6rQ6rQ0sIKWgpaCkmfrmDXaGhhCpWKxhzMTxEJ/4UPfj7e+7pAq6BZZbHY5X8FJ49C0z/ALmBZ5YheYJgSdoVsrI2Hn7DQu5ngxgqEwBARPKV24lneM3cmEwmZgYgNa2Ra0XZIi35OrcM37n9R/Y1awM/RUw8aDBxYn+KjcZiNo4ja2I9YEvWE4inMYYgPTxmJiYmIRMQITE1zKT4mlxZXvAhvEzwgHZjC0J/iqQkCFjB3irB2jNPPvtKCLFEPaNZC5gJgzMmFzPMxbMiw4OcxoWmYp7N+eiGV2lS21Kdnvr7cTaBi2gxGE8hHYS5xLbRLLZdZDEPc94RiZgMJ6Z6ohMrqxPICeffjCSvIJhyIzYhszGJ/iBFTEZ4TBFgELRzPGbrYjmOYelKZn6/ayvEP5lbYlxyAez9VMf89Eh7QmA4ibBEXcIicgRE5MiLyhlnJyzeJj7UOwYzZ6LCYDMQQ9QMxKSYlYAstAhfMQ4PEWd+SK+b1ZFoIgMJ/gBmKmI7dVEAmYzQDM8ZuvkvPzHXprYiqCLqcy2qEYixvwPw/RR3wMZh6IY/wCP4hyJ8pnymFpmZ6GLCOgMGOjCKpJq15gAPZGeZEDCcW/9uTOWS4iEK4ekqW/HVExHfqBEEI7MYq5IWZ72tmOIBGTIZSJS+DTZkO4ligy5cRZiARuiflvwIYDF/LDt/wAy946EdQ0RPKVa8ceIuuhY/wANA4m4+STCxES7ylqda0jtiHpiYidox7HvEWEQnv8AJ5BjDAY08ZVbiG2fJLWzAZnsTCeiCOe3TxgOIB/z6/8A9XcR5U2J4mKvlNarEYhRfdmWfnqJqtgbDZPjHgOJ55jGKMnOAzZ6LCYDBD+AIiyw4nl3obMsEBiy0RHxAuY2RC8OTPGCGHoIcGEY6ZhiHs/5/wCWtsNwdwuo53T+OwDM1teDCzZvgc5FJYNWwngemZS3Y9yKe16Y6D8StZa3QLD0zFEJiiIO179KzgsMh+0R4WBBEoJhQMLFxCZ5Ty6NBCewOISDMdUMsgMz/wAgODw/JfFOX3BcdenJQBRs34jWZn/epsqJTx9d43ON+KXjDCJZia39mSjtv1Y6CKO+cBjkjoTBFWMcRTkostbxDNkwmUvkWiYmIIgiNiW1eQdCD0WMIojdQ2JgGeJinu3cdAf+RHKyslzWgAutxLXyRGEzOJ5A1ne3Vddg5ME1Thqj/XkUyHGCsRZYeirD0rTM8MC0ys96/wAbFmT1rbBIzCnQtEsxEOYjzYrzCMHoO8xD/HyioDPijUkfwzM/8Krk0V4hfA2bckzM8s9K3KxtkkM2etL99OzK7S5XYXBWL+GOSohMJijJoo7XnEPeVrks+Axyen//2gAIAQEAAQUAHlMkniaWtv39c6Whbbl9Ov5bOMsWtfZOft21OWatDnHijMc6ykn0mxjyfK0GnkfqveFfPbVZr2PadXz1b6WFn/YMTXNkPFXqttbI3A8o3Hcj7HxI0OQGYlTmcVx+TYBWNzcIBJJz/L/qZzCowUhUiJYyHjeY2dfa+yduza9etsptV6LFEx0Ryp41PLiNPab9jldMwjEBmrfZRZx1g3arqWpfklrvRtG7zo44oWsqrNe6Wm1Ub9exSrYnfIyT67xpY89b+0lq4t0kCja3vjq27S7IASq4l1oIHc0J4V+m7GPZfbKDRz3pW6dX2Hlgf8hyiB9DdYJdgZxOBqSy3W4GrZ1/ZeMt1NoA51Mcz6wy+J4/Vax6qvir3NtVWzWttL1MhxMTHbExB2J/IxPx1xCoiZU8L/8A3n1a4IerbsWWJRebK3raCaH/AJeorYRbV42aW5Sa7Z3nHchsa9mvVZytP/66BXtbOjqDd3mcsWK0uQ3FMLE5Sj47wAK5x+s1t5A0tIWB1s18X1utddlvmW8SwRBLMAE99WryfYZVT1e4p7B9h0fF7Bxtpq3ed3ETe3t1TTs1ee1dT4FpxO0Kn4n3CvVVf/1/2ez3n0Xc9bv9c5NuO5X2LgP0+X4/U+BNy5KkfY+XY9d9c1dvj/Z+MGnt/wDAQMYP8MdvprbV7fY+NOjzGDFYiV3gxqEsRUJfm0XQ9W/71ctx/wDjruQWn0LmWUeleEHEcRqDT9l0dE8hyDcrqb4uF2vZh20Ueu3Veuzj7jVfywDWMo88ZPA6wL8leXcWf++3R4W7DkxgyhMk58Y9hJAydStUXbu8n4d/j5T7RoC8rW2H9p2GFGzul5TQH2+TUBmlZZSbXxrb19FnM8nte1elV69ny6Or/lPU7LviTkt9rCCVf6/5JL0+w+Hb9Yjv/HEwf4Y6/XfJfoez/bfHDV9pwpBTECym5kPBcUeR5D3vbWzkDOMQWan1hbqLy32Z7L/j22vZOS2IHvuIpONHZv1n2m098bOpZr26luK/kqY2a3/nepZj/wD7GvWXfU8aKNmzJyTduhjruMmxCSiy1umrrlje611sSW0AP2fs7RZ+OCENy1I2fStqvwTi6nd+YUq4TPTAxPVue2OK2KuE4HmTxY2eD5b22izjeUJyZw3J38fu8tyOrz/qt1ZS3ExMTEx/DEPXE0bmo2vtulNzhw3iWJeYYQLk/W+kP1OZ2js8nicDhquG3G0PYPsHW/b4sD++nQjD9bvXohhv6z0vq72vaDwtwru17FNVzBMhk+E+WmgBNpI2ryDUGLCp30LmKksTGbAPeVVl2T/yr2Li7Smwo/K7mvf6XzHrT1VcXSdj675TWsGtwtD2NziFbxMTxMSpmOlqYI3rddNX3e+tPY+B0/avXd3jdzTtxjp6tzz6Oz7PxTam7gzBmDMfxx0xMdAcM5HMfUBGCGwTX8iqrB+ET/HfXVhJeeuMfLk2avkdVxyfq2zWa79K/wAZqPXZKq1A5TUV6tyhq30OV29OzV9l19hdviePuruqagfF/WnXsU3XeK22fI9IxFtZNG58szCGVoWNFQrXb2fI9F7E/wD5f1lwnse5xl3qKcPz3qO9xFyPxPHfDZ7DUF3AgngkpqyaKEEs2ERNjeZoSSfQuaOtvbXsGzrbF/AcVyVW1p36tqkBloHNeksuD/1gzBniRFrJH6zxtawQoRPEwg9O0M+qbBvcBt0GrY/EqfBWnyt93A470FmyZ64wF/PqF2vr/Z+Xj/ZNb4OUS0rNHfZTx+8tg2WRq+UUeQ7Smya+3dUd235W/wD8VFvHWpu8Lp7I2fX9jXZE8XvcDUtcZJJiqWlNIQX7RwWz1BM9LX9v0u1Clv1ruWJrev8Aub7NZ4zj9pfcOPv1+TYENXR5SqtEGxsqot2Gc9K2ZH5hRz3C1XXUvqc5pcjXy/BX6D/X+uR6e4/tiV0M5TRbNXGkzX4R3Nfr4Es9fydjgHAfhLUl/Fuot03QkEQJmfT2/wDr+0e9aJ0faMdOCUXch90EV6xHfE4DA2fZK/8A2+uL/wD877C0mq5XErJB09lq4eTHhu7Hm3bKnE01Nj3j/wB1t/pfsus47ltyp+P3dbdq5Pglzyaiitjk11FilaVi/YzM9BMCBMz6sPyLzPH/AK3J+g2GrluUZ9LmvVeXTYX2+7Z1rEq4Xclnru0i7i7VMsZ3Pg0CNka9zRdDcacJuclxO3z3roenGJwvOnXQcXo1fTDr/ZEydbWyKtZMa9K+NCLitFhUMLFUl9dWluirDc46Xcc4ZeMcV+sbL8d7H9zaPxexQz1BC/sX3QzWcn8JZuI9Ss2U1vUtehPZdMo3qey+rzP2Pxg2tRqGBrpfJDiMbIarWFPF7dzcd9de3b00vqH3WinlvUeZ0WGjtBgGdqaCJx2x8FyWrZrc/ar3prwutYsuZ+uIEJiVnPxgT602Vp5r7D1Rr8967smnlfdE/wD7X1jat1dv2CtdzS5BPhZuQvVk57lkg9g3zB7BuAD2LkwW9i5lo3N8u0/y3IzhvdN/RezhfV/aF5f13luJv+v/AHbb9e2fe/S10nqVlbWbsmwqhOQCivl1UDnEAPO1Q87Xn/L67Eb9bzZ2kzWhusfi0p0djWRbvsPRHKeoNo2CHWtno2nY3s/2Lx77vP6HrtFFzX62pTr88lze0Klg0Vevd5KjZv4W70Hntp+P+mfsHcnH/wCsP2PuHhP9PeUc8H/qt6Hozivq70biV214TRq9i9x9TqX3P2f1y/Y/d4tlXTatmIqXj1s2di8HW0d61WtsvjEnoBFTMFcFeIbAIbZ6jumnmPtHRLzi0ddv2nVRqat34jxHM17mpzPHMDfUa3gEA6YmIEYxdUmUL8LcT7/ZXTb6l69ztXAc1u+v3e3eo/40jYQT5UYW+Uay5Ydm3J2bob7Yu1aJ+/aIN2wn0jh7N7Y9p5vVFh2ayeIdOV+trE/vZWonoaL/APsPuFoHsO9uitMc3ytvpP8Ar/8AY3KHiv8AVLj7Bw3+uv1dxh0/UvWdOpNPRoF/K8VrDf8Asb0nRHNf7JfXPGjmv9v9LL/ffvHOH233rntxta+6yrkrS1wvsCex8ZWoOnbdbwXFJrV+x8t3vuLsATFoYxdYwa4hVFDOMm1pnJ8GM4Ot03vbtT931nQ0dlr+bTdv1bOO286lu5p28fuVcjX7FwJ1yVIOOqoWlWtPKtI15i/JYU4+3Gtt6ujdx32hp7VPDa/HnR9v+t2qqPmhW5hFtVo1KPHpZehmJw/G3b+77Lyup61w9+zbcymyfUexbfq7+rvV73H+re2cifrr6T+zX5fY/wBY+c5blOB/1q9D0Jw/qPrXDV7/AC3F8bT7L/sd9acLN7/au69bfvr2vlNH2r7R962d3X905wXaXKVcrRydl+vZraCbl9xs4vQS4bVtHAW2aPK6d1F+DnV8dnQp0lG3y/Ifra229t9qamYNZBD4LGuUR9gwuWgViaNC+48d6Tv7J1fQNCoafBeuali8xwq8YeZ1qbX51bQOQtKsvFbMr4TgPk2/Vk2NXmfSdqk7GlfQ0qpLEBKw9xMSuyw/qVUqd3xDOzGATieb5Pidn1P7F43lX9r+vuJ5p+b9c5XhdnESwrFdXFtAjDBClm9e+DgOL3Ldne2vTvpn3j2pvWv9OyV9S+gvr31l9T0j1DUeqjWpV97SVvYPsb0vgE9i/wBrvS9FfbP9rveuSnOe7+yc3bxGhZfZzXL5Pomx8mn7frGvfziau9bQ9fO07lXDcZjY53mTWeGt4m28c5pa2pzRp3bTxo+X00Xbde/xVepVzVnyXH4hLL0Ee8mFnMKvBFAJ1qATot8cq39oqjXWnS1qfKm3WWrkGoJOsHINqCpmMo8gy2X1U07f99v1jheVr53655Hjzdr20mnjNzYh4/X1RbuDDMzHExAJ4Twi5U+p/YBpp5Pl31NXkPrviOXq5Lh+S428EiV3draQw4Hihfd659e+4/YPJfXX+tPp3rS8pzXr3r2h7T/tZ6NxbUf7Ve3cpv8AuH2z9s72w219gbC8D75ra/IfZHMbN/LC8vLMTjdB9m/mNyvV1mdnb6/sOfe6B+wfzFYg+tbLpOb3arbON062t5W6+pU5Fmh2W8/rHTrK/YNh16d/dZrR8th1+F3Lp/8AryVrdXxtMttqYprM51+MDSnjAsr1SsWkxfJJVsuImyxUZJJAnxs5qqwulSr3XIqazL3479j5ONoe2rnPQvXfi9h2+UW275mbERCYF7hRAs8Z4TxnjPVPb9niH5XgnoXQ+xNTeq5j68093W2dTY1reC4vf5Te+vP9aqBq8rzfpfonB++f7V8rtnY0/fPb9zS+qWrPEeuencbOSs4a3X5L1ngL39c9U4vV3PdvV79vav4jb12q0LrrCaeL09zYa98d/QmYW+91Ahx/aL+eAIxzlbefDhlPK7TCNcpPyjx+t9vwHt/Ff5PT2vRdlL31+N45d32KwS7f2bylNjnX0SZr6QEp11ErrQQVrBV3NYx8UUNjxcRVclVUKtrqvEIXfkcrRqaVZJ5fS1KRuW3rwW5r2z3P0Q8lrbtGpXsv609os4fe1U+NhAsCmeHbwnhieEKz1/2Pe4bY5DhOG9jo1d3nvXN71j12j7UX6t+mPWvQ9T7M+9uI9eba9S9q9x3l431Tg5u8/wAnfDZax+S1WtsswWsMW29Qx8pyGlXatp2dNuR2dq9yDnxy3o9DA+7AlLB/eA9+CfDcvSGHG1AJzPZs9/Pt9ZhrjzF68fpe2e6bllt/IbV71a9thp4wyrQCyihREQCfiKYDEYGAIYFEzA0W3BNndWYtwWuK6ub5BhYuxY6nYdzxrpaG1rtU+mc8m5V9ufV68vxnls61ut7RyFKV7/Abkt9Vo2Bs8HyWsf1L5+rbBqWmPSywrCk4/Y3dfZ+v/rzkPez6n6d616XwvtnuN/tFOv6X6j6c3Lc9tcgbz/awgnHbOY9mAbMRrjGvIFlzmbOCNrUWyX8Y8q46w2+o8ca6PcdLZddnXureCcK5FmzStlVGuK05jHk35nDc5TwVfFe48ZzlPsf1ou6Nn0Tk9SzU9fsB1/XfIH1XyGx6vyCSzV5LXKXvlXBimIIigwgYIGfLvlYFQnjdRrrVRdbVvHy7DJiWa4Uarvr2cNbXt1Pq36G763yde/pffX1qfXOdes5o1LLJqldY6ntvI1Bdr1/kZq+j3bLcj6w+lr7+gjO+parcf6nsX1/Wf1/b7JyvD8PwfqXBe1e7cz9i8pZscb6xo8tubG5slWWbQADnsEvIKFFtsJax8BozESy0gbFjM1VeZTqLYdDgKWcUVa2tzHKblNyX8Vvje9JqtXb4Df1W4fWsFtOiz1bOqa05jPm35nL8g9tunye3q2+s/aXKak437A4Lkq76PXNobOhVWbbNmqW8xu1E+w2sG5HRthHEWFOO1LCvDbQDaWyketxGOIXyWWUEF/XdVfHm7E8KtV6xbXk1IpPiBfxe61F+t+ty/H+nbr6G97R6tp+5em8x67s8PyeSZVrs5CUVQXuW4jkLtRLPfOSJ1eO4LmU2fWNDQo9G+ovafd+W4vifXPTvX/d/eud+zue5BeM9D4E2279F2ktI2titW290hdI3X3LqFE2sLH+PLjuQYRLavIX0kNUe2td8bavKKJZvq68jVVbL9NVbT5W7VbQ5Lit5dT1LhrzdwH61fNla15TFjvrGfrvnbz8ijJ1sg6G4UOnzToE9g7WcyrSzcDkshJOIzsTrhiaHtWV724kPJ2mNfxjwanD3FfX7Xml6tyZur0n09Xauts2qdhfGzjK70s0b0ccc+zRqcRvFuC0+S1Lb+MZ29Xv/AK/7E/Xmp+1R6/xtkHrvyxfTeSUanq3MPbb63Xr0WbPEaY2l5jkdj6l+j+Xqs5PluE9d4v7J9wu9z2fR+B471L1n2DkdnlOTbXr4nj+S5KxrLfNpYA93FcQSOV266hs2u0OwVPzecKklV7FGl2t5S3UdSBch/bsWHesh3GMe3MtXyn/pW3Gezbeq3G+5V7Cctpa3IVcvwO1r2fEwPwiboxYhw1DCV4ivYJ89wg2bgU2rol9hifIxo1mMp18RVEVBj4yZZUcGk500fPrdW7XOZ5reprTlCznmNRW0fYqUNW/+2l78pr2bz7jPr/Mx4Fi84XypnvnD1c56ducJoJajev0rr83RQdH2v2Nns2H5HY9f+lNjlx6j9Z+r+sj3L7D4j13V9y9q9k9q5X6v4H/Ocn9pcwgf1jiqms9l5y/kN1dfJurVU0uH+Ta5bZp0dPYvtusZWMOo5Negwj0MsYAHJhY4bvHqDR9XMt12E+Iwq4jK8sVxLC0Xbsqbj/adik6/Oae6nI8DTcDxt4u5rjmrv+BwdesymoyqqJQDBrpBqVmV6ayrVWJURK1aComV0tK9cEjj0cWcTg62lizh61q1eXtWy2moMDrKTTrYPC71+oaqW5Dj9riWSU6Nws4TheWe3jOG5EV06x/T9j+hOU3+Sp/1r53y4/8A1yqrPE/THp2gdHhOC4pOW924Ljk9z+zfZeQq3htM7a+wdj6j4JeD9U59beQ5X2baXR42tPNlW413aj23VBNTX5DYOxGoJH1h9f8AEc1Zy/1f6OKfZPVqeMs2Br5vWjLqsauMhEIhBliEh6Gj1uIciOQZYimXVLLayJXt3UtxvtFtR/zWg1XsOohd0UFGUGq1JVcJVdEsBiFTK1SV+MUJKkBi1jArEQYNTkSq+uaGvqXWf4qtdPf4a9rtfhNnGr67sudT07YsnHfXe3aeG9GOsbtL1bVTc+wfRuLjfbWm5433J980tb8PtX3tTxXJ6f3dy28Nf7H9qvbV9i9h3DZx27tR/Ukccjxvr3HzkeT9ZrPA8V6rzXKe0LVxvrWtUqTl7n29w658/EKmvrqs5K4sKq2INWIOd29JeK9u5VdvlNj/ACfGcrW9N7WtFugszD5GFTCDGBmexCmPWJZTLKiDYCJaoIurEbKkbdgrvsTd1d/zqsbYbNW0wNOzmU3ym2JZEui3mLskTX28CrcQwbK5O9UsflQCvK5nE8m42G3bBxl3OXi7X9j2FTW9u26zq+98oob7A58hfZOU2ZtbtlsruZr67P78Na1c4243aH2DR8fufBX2VWer3UbNfE8UmKdFEnI0n4vZdVQOYpBT6Z45LPc/fVLaHJsKuOKnyPeynV8jsAVpfR8jrT4rsgl7KSx1kZbOJYvoex6ub7NNjBo2A1cfaYnGkBtAYs0DLtUgNSRDVGrMZTHSW1CW0y2oiW1zx71b9OseR26NqWVkEEg0WmU2mUXmVX5iWAxYCYljCJc0XYbBdmjhjELqeN2WS7jbP2eH5Rlr2NVy60q3kux4nVu+RkuFSW7Jc04+TWZn2EYUjgGA4b3Tkl3fZ+JsAb1R2sbhWOvrVbyMNzcr8PZ1V6+YJUfSewB7V7brG3jecUimysYoqc7GpxW3fB6J7Ftz/wD5lziLb6NZUNz1amtrOB1xK+Ep8+O4xU1ud4ryts4wKf1axCqrCRCwjssuKmMixwscJHUR17OksqzLKJbrZh1v721sYisr6vH1bSbvC30Hxette4ymwGIZXY4CbJETYVojqYpEUxGWBQYNUsatG0H0O8k899U8nu7PK+kcpwFNl0FhLcdSQt+0GaywItWyfP1fXOxalp2OS5/l9TgPVd6j0nkbtHhfT6H4z2T1vjBR7RdsPxuzyOwt/Fc5eux6Xz955D6g5Deb0r611vW9vkaNi6nkfr/94VfUXBq2twf15w0b2r16qvnff91JyHu23cbfY9iwbXLbNjWbmyTq3bJtp3radXkeds+X/KI8fZrItuSPsII+1H2GMsuMe8CWbQj7SxrwYbiY1sd1jMsfxhC+R1PItx5lNd+s+hyGrtpynqquNjjdjWemx1NOwcV3KYLBBYolN6iLZWYCDFEViIlxU629NPmbNVvXvvLZ4yr3n7S2vao1uDxGv878hsrra+psWu1j3Bas236xXieD9B0G3+Y++vavm3rEvacNxnK8jt+mfRvJlOJ9S9f4irf9w9Z448j90et653fv61Gs/wBg+d8vr/7f2/YOY5fau16uf5rlGr3+R3r2O66Pr8vZXNjx3tbmdUa1lmyUVt0A/sBpxKl7OT2lr1+Q2ibTuOCm5YZ8+YXzHaNbibG1gW7RMeywx/lMZrhPmvE/Ytn7LQ2kxrDDYfLVtVjTr0OmzRSsvRVbjPYLddhqcdytPJ+o30lqLKWqKEIqmfCYEYRHYGrZCmq1WAVSArCLYQX2XWDYdm1SxNOm911Ro4zR/wAp81yXBVNrWT03gq2s5Dl35LlfWTV656t7Vyr38n9ZfWfsvtN/A+r8F65p+3fevqnC2899obvsT6fGbewl3r/NrL9Xj6Zu8jwlM9R9m1tLnNy5N7g+Xuaqzma2R712XGnr7tgrF9TGjjdgb/H8PUtq8ChU8GzcXrcVXVzT6DG/jzZLeJ3VI1dpJ/6rPIx2l9pEtcsVQGBEgpBg0C8/wrsLODsEu4tllumyyxWEz/bQrs87r3oqu5JmJ2i0eycRye1rX8DuUchRzvpCXpyXCbuhbr2AzWqSyJxHkNjjmrFmsJW71tr2q4Bni+QmZ8GDp0uW0qqqauc5RnOi3kaa3tnEcW1lnL8gNbjvQPXLeT5H7S974yuz65+pNbmKeX5jh/XOL+zfuL2r2HY0OP29uVjhNKX+0bNOu/tfJq1vuPJWA8/U5r5Pjqh9J+/6vsnr3tqOlP8AkLNvV5Xe36rL+Q2fO3c+evW2bUduUDreKnOjq2PfvbP62tu7rWW/Ixg2b1lfIbwictsiHlSY+/qNHfi7I2pouRxZMPD7cXjdxJrpYhotolVOrbLfXKr15P1PaQclxexQSh+biN5FblbfKq61gw2WEG2TOFUWXcXcmvVyfu23omj2zi+WXleFauaW/ZVfxCi6neGuo2zX52uudRzlbRhGBncFHqzrEKRtn4tzWsuv0dTwmpVXWad0pKeKv5PY9s9r0/RvXPpz6a2dnY+x/s/gPR+O5r2b3L2rmU924jVTY/xPPsvpXIUJy1NtTCu0ka5htopTd33vb60932fVPZOXs1OV47lvm4rkeY1tfkKNykVXVsA4YAG8E/MxfjMV1c5vK5twWCsJ2i94EEftHaECOO7PsJKuX5Kk6/tOwJV7JrODzGowfl6Fie1WUnU9/qx+/wAByiWencad5bWVq99/C4hjB+fX0INe63l7HssXF1itxXtu/qTTv4jl7fJeM4/a9m+W871dgH/odatVUKIvlisSpAzeRUV/MC1PkKkURGfHr/E7G/s8vzer6po/V/1HsbG19l/ZWl6jx/sntFe3yu17Pv7RTZosnHf1dPbtzUof2ijcLaPHbY3+P3tVdi24uz91tIn0X9iDZ473Hi22dXS37KLOb1q7462LZZt+KNb/AG44fJft3LRr7Ww1rkvMmdoDPNo/lCDG/D5yzdyZY6iNsKsO/iPyTS3kWMO/ZnU5rZqav27a/wAay9x+W/EqGX40CnV0Nj5LufcNdO89RpL7vuHIfBpHYY2UbuDpbtTTWVHWumsRaVyKwIiqAgBKkShlZa6v78XwLWCr7G4nW3vS/rOii77R+5/XPSqvd+W5n2aywWI6tA8r2ra5+/smHauM/YfOvz/I64Xm+M2w/Fcdszb4TeoXjOQ3eM3vTPfNT2PjPauA8bf2rUm9WAllbuV0bGHE6Xxjm9nM+PJCYLFAS6GNYMfLC08hHYYduz3AS7axLt1pbtkxr2MBdomq7yjh7Hmr635FfVk/WXidh5bxxqFizE0qy9u5sLTq8Icry9nls9PRKPLY962ydpfzTWbHr42ujX4vfAavycWalyAUWmU6mx4jUuVqdXYc6/D7Fa3+3escVXwXFe//AGZyP1x9Tet+j6X2v/stw/A7PsnF1+2HU5HleE2vh4n2bX3dLZ0bw0VjA88+xbsXnnK7WDjm96pl5qrYnB8o/Gb/AAftOvzGlyehSzbHH27Bs1uL0q9jca2zX/pRvN8llieK2P2Ks0K4ljDBuII2CYbZbsiW7SS/clm0xP8A6WGvRdpXx+usUcdUP8lp1xudxF5/Z8k57a/UvtYS3yaW1YPxFpxuuUm/sGy3jMVaO0/ndBPQVHh7bb8nKAZbiNSqqne332bzdYs9P5vkE5H2T3GzU3OI9qq2n1d7jxr8r736/ond+z+ZtnA+q/YXvG39ef6raOlOd9n9J+v+F+3P9huf53WsuexuO5bd46/X9k9d5+rf9J5LRbV3tD2Kjl+H3eK2g0855Tz7eXbynlgs+Tma6bFjetJt6NvH+++v7Q5Jti4berar1FhZbcqUXXeT3Xdh5MzNgVa9tzf4bYK7WkazYmDa3iL7jLr2juxgaC9hP2bIbbDMsZ4EwVGVUZKah/VtR7GOtbG1yw/WsFj3/ra9VVWxZyCHW0GB8oPz6QoXR5x/k5DiePN1nK8gHeswVeY9D4Hb2+Z5j0b9fff1D7j5VfUvoT7PuXU/1E5zd2/U/wDWb644JtzkPWvV+M+yf9sdWgX+w8xze1yWw27cylegOJw/svLcVZRzvq3sIt4l20/Y/Vt3iLPKec8p5TPbMVXaV61SyvdFQ2uSuaV7l6PwP2Dvaa63sXEcip01azb1bEqvrsUvU7FqrUAtYNx3JU1HZ5MmnYTf2HHC7BHIf47WG3vVEvbk+UAMCQJAogIE81ET+x1qu4dBTTsKoXkdbCmrZsq4Oqqvkzo2WcdxX/pt8mXv2eKWzXsrKEfn0444l9G3a5Lkdj4auB9H9n5y71H/AFN905Ees/6s+h8YnC+i+o8Ki169Q3fY/X9EXfbn1zXd7T/tR6Lwux7R/t57bvL7H7v7F7DscHxezye57Nv0Cyq4rB42B6SJgiZmTPX/AHDlOHbhua4fmtX2D0FHN9N1NmT0SuxyNdK58xKhQJbeITnrRu3UtxHt25UU9rtsps9p4guvJ8JfEs4syv8AwngeW9Y17t72Hi04ze942/Pd9g5HZlt7uckwKTAkwBMiF58hnmTEVmOpqNhsIouMs8lZmOeO2Hr2eT5d3pXWbYfa2jo66+Fx4l7td9/17Y2DofXXt+8/o30f7s/H8X/q5t3H1f8A1w+uOGOjxnCcRr+w/bPoXArz/wDthwdI1f8AY733neT9w+yvfN/k9je5XYb1jY2KOd+xdWyr2DD50dC/au321/WeBssZ3iuymvZBnijhqCIUYT+wmttX6t3r/udHJrzVfD7lnKeh7Gmh/WqLXXvBXHuRA9zNCZmZmYYrlW4nmPBd3STaS+u+h67Lc61ROhbafk0rhfwG0P8A2cmBczxx0LwsTMnqlZJ09QE23V0pduFiLm8ec4Xd0dgoc6Gv4g0bG1scX6hzllWl9J8/uvxX0P69RON+uvUNEcVq8JqSrn+G1lf7J9P1q+X/ANnfQePPKf7XcntD3H7f9+5t69fd2m1KAlfqCD/J8varcgrjGnd8ex9gUpdrV66O/Aamrx9PPbl3Ibg1LMnVsENNgIqsMWu4RGsgAIXXRg2ouPgCHheZ0+S1breZ9W3jveqc4OY9f5HQD2uTmZmZmHp+YZr2lH4zaby5fjA1ViLWdDZ+TjrmPyerWtZocnV4bOJ2ALTyMz1CkwKBKAC6ZSrZsdmWudon+H5Omz0D1K9qfQfVaxp8JwGiu17L6/x68l9zerac5P792zN37k9x2pte8+zbEq9j5FrOGsf9TcdhtcFh5bxaWNYKNeq7nFS30naa5dzYdtoXvE23Db+z+/6Ho7FfybvI/wD46jyemhZ+ijQ8XSwXiFn+ITDcUFj8eFjaxWOPEXs0+V1b13k9X2HS5riN7iOQ4r2bkuOja3Ac6m5wm5rv+huQcXyJg4fkSP8AE7Qh4q+f4rZh4veWLqus07fjOvjc47kq7K7PX8NXsV+N/qNwS72AeO+WEJ/hiLWYSBC5M0QCxAKbCeDM88/7be9t6t+v7tz2tXu/ZPsypue6exbUu3tm4h3IAYwZjOZ5kT1DZ+TW5ZTXv8PsGsX+w11ryHM27I8jn0clPXLSTZBPT2/d9Wqtau23dYijdOdXd717akpcrGt1nkDHdZc4EutXNt4I2LoTk8a1o3vsnb4rcu39C/UsSx0bW3By+vdZuUWnYuMNrmZM8jK0Zjr27FM/zDeJ/R2G9dW1afYePzZwZNe/yoNe7we58XI+0gjfz/AAmKgEeyE5glLmsUbYMvqSxb6nU+JnIVmyy8/+u3Z8lh7Qymvyi6wC3VlYc5nq15TZ9jH/AOdxTf03j/7dOHf9X0azHl0+ttkDkuYoOtyZbMViCm0yxd9/GvlHU1cwQE5g5s5g4t5Fmj7hMbZYxnJOZwBX/Me93u/O6PKoatzh2VUd6n5JV5PjZmAExKMxK1UW3DDWeRQ4Pq2/dRbsbehtG/grK9v2qo1chpWGvb9p72dQMxUwHfoBEHcjCs2Cm66RLqrB8FEtOKWqL03VOjOvTVIzWARsUAy6ggsCJwVnhu+yVn5uLIE3h/7ytcvzdn6vqQbMB75nqe5+rznvmt8PPdMzJmTFcifM+PmeF8zJxk9dS407Hs/jt1TT5DZ1X+fiN8cVx+xqbXK6FujvKpY1a+IVVBbaI7gnyEDjPA24u2tzx2tTkraLPbE0eQtv1Lta/nz56XQfmusAWPCYBFErXLXDxVjFUkqMD5WjXhqdm59dTt6mwl3G+QtpsralyDRYCrustCtLlxNOzw2Obr+XT47Ifez82Jx1Rt3PdNiAkFjmBprWGu/36tdjWB6Zmf4Z/hmZmTOGuGzRvadurfMzR5Xb1G3n0PYOKu4Hb1jbWaxfsEwsTM9eKZlbeuJtF7eHsthbWp5AW18rX5cSRjpWmZY3iD+ZiAGJkG5iUPeIkI7E/wB9bYZ7OSIa60EFbHEba8xZSFNFpUG7M+SXOCFOG1h+1xWt/S/d/wD5f+vWag3I+ybJu38zJnicI+DeRv8Aox/Mz1B/hmZmZmZnF7Bp2+f4Bd3irUZHiKWPrBQtVyW1xz2jjeWm7rWa9+YT3g/OnaUmy5awPhOUf5OGBwVtL8E3cqMtnxVmJMSE9wYv5OTWoyUWWkKvl/fjWHle5ZGtVgFGbhiVXFCtSWBwyMXM+OxzVxey54fUq1tDe8E3ts5YTiyNXj7X+dipU/8AflDiem3DY4q9DXb0Bmf4ZmZn+FbeL+r8p+zxXs/HDW3RknV1iBW5pf2WwX1U7FlVvO8Zdt8Y1bqfjaE4hea74AbycUkreC3CTQPlxX/dSy1ugEP4/wC+8UYiN2Ud6l7bD5P/AHW3xUoFeuwFTXaRHsV1I76bWB/0RspZr61JO9RWP8w4lnMbjzzNh2+8XueRsFXHqSCWV4UPTM9K3Ph5X2bWOtzAfM7T/rpkf8A/Pr3M/pt7Dyde7brUAsgCrt7PiOKvG1Qysr8J7ZZradXDaHJLyPEnVOx2cGJZiaZ8rFo/rs1AcafzxJzrAf27KjHJHQkRcEquS+BKm/sEy1zhK3bJmy489K7I2l/uR3wTKqQRU1NJbfebFZ2FsrZTjprOA2yp8KUzZy7ZeCJYVnjW6tW6jjtg6+57vSHsP5DEQOICIP45mZmZmYlrqama1krCy+4qLnLNRc9VvM0ox88HguXt1bOT5NNhdkgtmDudM+NinKtX8lFgw3Ct/wCnhiy1p/2FAhhlaEw1+C2mVHBpH9Nm0s3Qkk0uVZ/7qaovise5olrZTBSq0qdqrzDAgwEiVP511VkXcgfM9MzJgc4SpWO3rWbnrD69iwjHQEiBzPKA/wA+8VSxoq8Yr+I2bizFoXnH3fsUupVq7GUttWEM2YYDiUP/AH1LfKnW727tfx38Q+NvaXx2HOSo7k9iTFBJ1tQiu8+MPeVLlnt8Uckt0//aAAgBAgIGPwDfUXZfmsPwX5bch9lk4z6oGHGH0NxY9JfW43AfS+1HPnW/oMcNydudLD+hRw5220PwG9Hjej1uNbEUn0KS/GYfZmkDKOnKklUJUh1ITkvtwTV022q2mCTyU8cXIbElS6lixKkqQhHIYnZjTBNI19lpYsQhJOSFlyPFExJUhHJXqSrkIQlLk8SErFYUmjKRuTokjSyIP/IvU8cVy/wjImOB7lJUsWPJSEdRkRifQ2pI4ybTKPr7fyKyDfxp1T8vuPyU8lY+KkYjYoiEqX40cOR8V3GUgZSKthOX5D3Hy8lGQlWLlyKTw4JJ4sjpuTXtlYbHxxO2cINj448qCeKyVZR03IO2R/pHX3EqP6m9HTRNIpJBJ2yp886twIGXdjjMp9Mhk1MqUgfK/wCNGT3H10P6m9JulYpJBEDJ5ZUZLn+b1pU+ZNbUnyUjxQmEGxsOfXIdeVI/NuOg9LEVijKJjTrrduxOJHBgbkSo2JHY8v8AEoyqOjkDLpmriqKuzf0uyEImldlRfWk2lUbRJOSEL6UxcfW4wqrZKxqZB1LKeKEOeRMqRy3Qneg8hk1/9xchvnSbH1rK1i5JCegulJI4bqMIi0fK9PJeo2NL6G9YYcgZPdRkv+RNIpNGQTJB/RYGXhdUuMlx/gMkISRrZTrob0KBvhwGQ643/IdfaMliKzSNLKOg1H9QdK9cR8oxGxshOudDjKOlG9OijKPkMkYj5/3SCd10GUj0u+iw+UHilInImsb1vSYpB5ZF3IRzxRMSHyHzXsv4kQhOid+NuOW6nzIQvSMciUYfLJEPzX9w2MITx4pFLaJLceS5CEQfMsx5KQjjImp/hpn0+E0yqE+R4prejbs7zcmVpCEUvy59Ct+lH/Uzeux6++qf0K9H/QbUb/pH/9oACAEDAgY/ANC1ZNL1RBFHFrA5Ol1o29Ayk7L6GXbYdRUq2htSCipVEUR/iKmtxl5r/GsaHqg1H20EQUXR1zSj46fodsviKicOSNmR8aMut1ow4ya20XLj1guXrIww4uCrY7p8N9tT7EUnguuhW2mHUij0RUG+YvKbRBOlx6vtQNkdsRth1pcnQw/Oek7zjaWWwipVdTJ6A+hlouldl1GTWioTRRm240zS1bFuUpBOuNlBqTSOPFG2m211SRuI45G425FJoqbbpS9ITS1YJpG5NOq3F4N63L6O+VjqlHquiSCC5dSEVT2qSSQg7aGJ3bFiMVPapZaTcVUQbjIh0w9w6rplaQhcgkkhCKfB9MVdSCNmEJPJSw6e0+RcsWHRBhVxQlKxwWO33DrSEpekIo7QSpYjW2Q6VngXrI6aYGyxFy/jlBlQmCSN91GrNLD5qjHXBN2SKMo+iEHY8qRwJHxk/wDpimP7hkQngMlPmOqdUPyPaexCXQhVUglCeAyD5EI6jYxWxbegfJSB7odcr/kMtH22HUixYTtf8MfcW6J/ezLOv7q20WpbeckZOI1WU74/1HVfd9mX+kZRtVtL07ZHgnTH8/uI2p0wSmy3xI1RSU4DjKKif2sDv92Pv/taYJHRdDrTv/IIqp1w+3EREpO5YglBs0O38akprWkkUlNVtptL/A7J8B/tz92lkPIiD8hvafU+o+Vzsv8AxY+z937hvhwoG+A2Q+KEEpoXRNI12IcuWJL67jC4q4qIg3yJQZEqyE0bGVGSVP3Cfw4/1nyTEVvbWdqK3L1dBsqQg6ITReFNLly6l9HZKMMlJWkKxfuTCHyxPEXJftP9zL3Zifx4XyG40KNkMrHbA6NcXlSMuSEKOhKK5CZEYkeJKuWYnyWjmP8AGgn0F/kWkafBHPJI4MKMp3+OI/Igh6OuRLqQPlkSuRHYhCK3HUdTqg2ueIzjpcXlqKhiuw3zF354D8tVFMU2Eo+i/Mtvuh5Kx4q+qRvmOoq/WlqytPuIRRkRkHUs42KdSXJ5jodc7nbCS27I6app+3AUm+VHUbFOxKkITBORdR8FJJxQhKNzXQbO1O2EjKnD643Um6iYJ7cPeQfNSR18UIRySCEow2qxZD4VtW+5bb/cfQngQdshfn9oqr78/cdcaOnktZ0OqndBEVfdSN6+zNIEGyHRdMEydcoyO/8AGNkTSNx1FVT/AHc/an/Hj/rGxPoMli5YdxkpNWUXFb4f5Rxl4c1vS+hlXW6KMq9sR/bkQoyl93tmvgn2/kNiOthktoZCFpfQmSe/D/KdV9qj1fhXLl+DJO0yeWQ+S9l/w4jIOttME63O2P8A6jLescduAykEUkuSp8y/9OP/AJDJ4p9KOu/9DtiMtLcKSSEISj8CKM3YnFcR+xCkHlkRT68CB1UjL+mjoTqgvwbaY2++a9svxGxbHEuRWR1PpvyRR0UbPyQjKkaJSkIWPJS5HCZR01TSEL6ZIHOqUjdjVAzjqgyoXJVC+JdH+g+KONiiYkrxWUdKwRWVIIq9ERBk96j8ZyR0rcvwXTRK0ggutZWkbPYXdkjbZTslI4XxTTK8Fk5i/oVfTb8dqR+hZ/Q7KRxI57HZBuc+uOcinVRW/Qrj6WUdOS2t05sE8t/0C+htH//aAAgBAQEGPwBxuVVGO7cpTn+ZepEfhG9F0KUCBkWERidzIWwWtwDCKc47HRWZXbL/AJtoj1LUW/uXJD2q3ZkfDfhK2e0hwpxO6RCtyakSR61LaMuJQkYlEEK3fbNbPgvQ+9blSQ9SPleLSXwL2mnxtzqPVgqLtQkQ+9kQAwZGPFE+n2+k8aFWrwNbcgQum9Uh4rdyIEjwJC4TWZqcfQorl9vFbBDppYSNT2rzYjwnE89sTgDUKnxjEfyRAfMNyHha4MTxTCJKzXBQKlGKAeizCpHNEHaAMVGZ7XRIPgtjLEdibc6BAQtQoT8Z+zbVMNj8lpxulmie8LVw3ZyR31WiuOwF2A9ZZXhwOCuA4j+anE8SiTshGeDr6YApTvU7coEGJ9iwwVzSnxazpf1LPE2T8Q/wpkGDo0qiCBm3IzAomIb+BVN6PFarSNmvaFzHiw8QRG8IAsYfdOCe20JnGO7uRBFdt+6fnkQPcn5oW7pBDU71KO59sTCRDYELzrUPrR/MA380ZX5MYh2RgAM3Dent4Jzv2ShLEVRIwKJ44bI8E0T47gYNuCnAlydxwRetUXLNUIknYG2uU0eC0c//AGgeuiun78YlWbgxjMEdxUWLG5bjMf4giDIE4APiSrm+pTYbHJZsO1RE3McJUdRsXJ+TfmcsJkAF1AXWnauh7dwYFWdRjbfLehulCVJA9yuQt+LTXWu6aQwNudQsGJCJNXwTbnXnzPiJIA3UU7YDZcP4ONfS1/TJl46m04jzFCtVpWbyrkojsemzFNcqEZW92KEVpNKaTuASI9qdZwaxFO5DyImdw4gITuWxbj+I1T3boDYgISuyBI3yKHkeJqMMGRuaQiMgPFEYqWd3eroCVQcQs9ovFqhOFF99D3ph3KNvkfcmUZGjVJT/ACigQD71mG+qYbOafY3FOUQMFppnCNyJ9qsXhhdsgqMhiCuj6wYX9JBzzigGxxqrjYBz3ImKCcJnUZwmQYkGJGIIVm4/m6rREeZHGVAyAZqq3IgS1nSyYl8TaOHqUqDt7FlBT8FLQTNZeO3XeMQretiN2S527kf42jmS0Jz8uXZKivXIhoaiIuRPbQo0rtbcrQhHwODPsCGnifDYiItz2SBcgOCFKzfYsXAKhb0kAMwx3I5rpD/donnIntLqhTwJ7kc30tR97ce1NKJCfemuRqTihOGCgTVsUJbnQWX5p+5cEGNQoTPBin2sDsBOCbenUC9RIH2rpeqAfNbZ+4HZ0K/V4CVpRIjQMHVyjyO5SHAp/ZsfY8BnszpctnAhfqdGRpdVLxG1L4CeXBRt6y2RptSPKvHGMoyo43UWo0hJIjJ4HjE1iVm47Ld+1JpQkJA8wpzsgCcogygKtMVZSicQf41q6KGEhIH+kuuj9Yt1F22IyPaHCps5bNXq5ho26ZuwOtRdJfNOVeT7JxlgrdwFo52PYVb1Qrlq/IpkEFgarwryNWHjhGe8FebYIu2jhKNfWvEGWU1CJbAe9A8EJKu7BYoFHeAiAqlHYyxZGtNkSMQV0y5rImdkiMJkfFGjOENbopfqdFLC7AYcpj5SrAkHlYvnuqiW34K7IeGQHqcKY3vXaFyTyFBivpTMANwxX6bVganTnGMqnuWl630m4DqtOPI1NiWJA+GqNrUWpWpjdIEbfJuEnTXqTB3c1K5Ctm947cu3+MEJfFd6dIA8Wif5IhUTxxCZanVGk70Tl76InZMYhkZYEEFV8REPcFKJoQShvTk1WZqneiQKp0JWbhieWCEOoaaF0HGcRlkvP0Nzwn5DiFll8xWbcUM0SOKZsNgojFsQjtosxCyjaCqF5aeT+op7cs1qVLlqVYSHAha2HTm0+pEs8tJI0zfgKNm9AxPzAhlqRIMHDHkyvOMJH0PEEREsiBvTurnTrtww03UI+VIvSNz5JetXem9a08dVG1IwOceIcwVK70e/lus50t017ijav2zbmMQQgVK+2bUdPpKW8gce5ELD0MKoEBOyqFht57OtdInUXLRnCPNlctEMYSMSOwttiwcksun6QU8wRcd20x4iqfeVe00qtgORV6DMMxI71RM6ESaoiiI2+GTA7lbicQKrKsYl+KPlsDyRmBmiFUIsdrBPJNE+j1LSYkRJA7lKJxiSFr9PGRBlbMotxC/R9Vtx1UYFomdLgApSSnc0NxnAe3M1CuicCIkuDuKIZOcUCR3IsqbROJaUS4IVvq9kZtdpYi11CAxMR8NxkJwkYzGBFCo6TrEXOFvVChj2oSj9XTTravRwIXXbtwfSESK4PkR2UVQVUdywYc14q9hVCG5pgAUfD9qrFkUyqo6eR8GphKBHNqLqFhmAuyMRylXbp7RDmdyAb/EumaQUELbtuw2uaUxQPKhUrP3gjNviq+wMg9Cm3p+Oxwo8k+4YKR4fzTRkR2IeImO8FCM2zcEZ2u1lk379nJOU0cPRotXpZGly2WHctRaPyzPvQtktG5ExbtV4RLZZkj1o2zIPKGG9whOIjO3MAyt3I5gfWibgOiu8R4rZPvCz6Yw1UGxtSc/5cVkuWpQI4ghF8FgsFSEj2Aqlm5/lP8kL0LUjbkMt61KJyzicQV/yfTISlo7gzXLQHitk4gjgq4r9JrI+doZ0lA1MecV1HUdHIum5N7mWshEmr9yLplwQNTxKoKIAjw7iECPavhYDeFh2pwyLBh9qLBiqBOy0WodhC9F+wlioauI+nqrUZPzGO3Qx3ebF/WtPAGlu0EwxUbl54xPy708BXiUBwVmQ+8ArOttDd4+To7MdmDprVqczwiCfcgbHTL8wcDkICNy5065A801/SzEt9EbZsyzSwDHbEus8q0RjEJymGPpVCdRicJBvWrpZhPxKxN2AkELkaC4AXVqT0cBRmamG/kUTHBPCRiRvBKpqZkcJHMP+51UWpdtq2fsVLdh+Pk2/5J4yhH+m3AfYv91OP9LR9wVdXdP+Mqt+cm4l/egLkY3rZpKBDOEb3Sb0dB1I1no7tISP4UbWt087R+WTPGX9MsCp6bUA3+kazwazTSqCD8wHFR6v0g+d0XV+O1MV8syrlKqFwAQZqqsscQgHo+CbAe1UoN42AgsWRaYI7WRD1KERvOCBnGp4oSh8QL+pdJ6pGs4QEJntGzBaIbhMH1KUSfDGAHYhO54uD4LMGoKIwYMswVuQo0grU4WzcBAEogE0ZeZotBeuwlgIwkSEBZ6LqGO+UCPegZ6WOmid9yQCjLqvUoW474Ww5UZazzNXMY5iwQGk6XYiY4SMQT6yi/k2IRG/LFThLqFjMHcCQPuRNrW25V4o3/OtGMMZuKPRGMgxG5OSoiIomOLIk8Uw9J02yxIFvEFp9ZGuaIdWz+IKxfLPlDlBqNvXkzkM4DEcQpAfDjE8kQfTonNEJwJjKNQQWIQ0XWLEepaE0Mbg8YHKSOo/bOrEL7ZpdPvlpdkSrnQ+vaaX/HXzluWrgpF/mj/0Q1+hPn9LvVt3I1yvukgMGVCnhJVWKxZYpiViq71LUXI/RshzI4Ov0tgvGHxS5ovIVqtRYzPPSEt3VRHs2aU5MDirhNKB1mBQsaHTXb0pUEbcTL3KN65ozo7E6+ZfOWnZioy631OVw/NasinrKjP/AI39TcHz3pE4cgo2tP03TwhHAeWD714LNq1EcIxinvaqzaA+9OI+1E6jq1gNujLMfYpCN+5qZjdbhT1lSh0nppf5Z3T/ACUjG8NJYxa2Gp2o27mtuzG/xFSuXJykeZKJfejHMWOIRvWYCtaJjg+C8yYqjbjgKInbVV2UO2gVqbYSCsXYxecYhRPlyLHcFbgLU2gGwKrAjuKEg4behavYniKg8XWaAd60wZEHd6DBOVRMEwBLrNenGzHHxGvqCjdsznO7CsZROWvdVR0H7k6dDXaU+EX/AO7Hm5xUz0m7HqfRLw+ro5sblsHkaqfU+hPqNEfFc04/MtcQ3BMQxGxiqYrD0LVi1EynOQjEcyodF0MwdXKL6q4NzjDtRkSVQldT6bPC7bMog8WV6yIkyhMhgHwKy6Lpup1BO+FqR+xWNVe6Td02njXzL5EPYVLV9Q6la0tmTeCDzl7FGWu83qNyOPmHLF+wIQ6Z02xpgBQwgM3rNUbuu1VrS2xUyuzEfepQhrTr78f7enDh/wCoqU+m9Mjp7Py3L8nJ7grsrGpjZLFjaiAyuRv9Z1UoufCLkgPYhK7rL10E1E5yL+sphcy32+ElG3fjmjxIQ8mTVqEIb2qqmpOCMoAuz0UozDF9jXC5ARAjQFeXChZGRNCnPoU2UTRiS6Bk0InfJA6nVB/uxCicvmEb5FeTG1BwGZnRyRhAPugE0bkfUywtXBwlCJ+xf6rRac8cscp9iErNq5YkcMk3HtRjC9G5R4i5Q+tGduDjeRUexETiabOWxhgmCzXpeLdEIxsxEInfifWnkX5nbHUaK/KzcHA0PIjeo2dYY6HqhDeaKWrvKQ3KU9OI9O6rLxAf2bp4gjipWNfYlakDSRDxl2HA7WKeKZABT6rdAOsugw0cDzxmp3rkjOU5OScSSgemdNuSsE11FwZLQ55pUUbnX+rxtn5rGlhmPYZyZebpdLc1GoIyyuX5mTj+kMEbmn6No4XCXM/JgZPxcgprVqFqI3QiIj2LLK/bEvumQf1OieqdUs2ZD+2Dml6gpx6Vpr2vuD4ZSa3D+ana6b5fTbBcDyg82/qKlc6j1G/qZyxzzkR6nXnXiRajUkoWLJa3Hgp2ycRvUzg52CUJEEYFC1qxmOAnvQvaa5mji29C1ft5o4FRlWEuBKyQNWUpCjoB6FCOIKN0hizupVoqrw+iyDoZRVMJsOC8U0DI5jzWVgEWAJWaMQDyTOqoPvVPFFqIidASi8BZvHC5HAnmjeEM1jdcjUd/BZMlRRPGBI7E+omDL7kakdqy2oiA5JyX9IEGoUemdbMtRoDS3ef6lrmDwUY9UsR61+3L4+lq4gSnbB+8pa39q62N2JqdFcLTjyBRs6yxOzcG6Q92xinjijdvhtPZ8Vw8hu70LfR9FL9FbIh+on4bFqI4y/krWr6uB1nqkWL3Q2nhL8MPm/xLzeoarT9O0lseETMbYYboxH/xCnZ6Tp7/AFa9FwJxa1af+qTyP+VC3penabRabiRK5Nu00UY9I6jftW5j4NNAR9oCOo/c/wC6dTo9Pibc9TI3JDgIRKGi6RK5d3T1d6RlKXMOVOV25KUjvJKqUUAB4XqhprJYgVITk1KMUZNtFU4kcERei/Pes1mfccUA5pwTSNUC9EAQiIijKSaIJdfCw4lPfuCPJ0wOcpoRWCDoNVMy4KlVvVSU5TgrGiwpxQBqOCIwpRGr8kPLc8l5eoy27cviE6hlPV9PtDU6gPI2dz8tynbjYOntRJHlxjlbtoiZvtr6Z02oH6jpl2l/TyqGO+KHXv2rqJy0svFO1bPjtnFmGIQ0P7n0kdTa+HzwPGOaPUP21qY6qwRmOn+cdilavQNu5EtKMgxCtaLSWZ3796QjbtwBkSTyC09/90yItBpy6dbLGZx+rLcPwhROru6fpPTbEWs2IARMm3QgPFKSuaP9n6T9JYrH9fqAJXSOMIfDBHVa2ep1ty4XN28ZZfXKiEuq9Rs6cb7cTnn9gQ8vUSu3B/ckKepG3+tviLUjaOQf9rKRF6+ZHfKQkfavPhq5RIwE4/aFK9prsLrYgFiiLkCGQgIkrKG80ip3qUiXfa7I7BscJ0xqsGKZRX06yIUp3vDF96ZhKYRjZjlHJeKRLpysFUKqw2YLCqpRNjsq6arpnYIPVuSytihO9IRiNyFuxbiJGhkMXQmbhIiXY09ijCUhCe47lLU6OIt62IcU8NzkVc0vULJ0+ogTGYZmIWfR3IXY7gCAVI3bUogcqesKo/gCVqWazL820fhkEdd0qUbGtNb2mNASvpmdmcT4on4ZdyGltaTyerWgDc1ER4Ij70jwQuW4R1fWZj6+vnEOPw2x8sVPpfRJ29b1k+GUwc1q0cKt8cvwqXW/3Hq7vlzLi5qTlAjwhD5QhHR6Qa3VR/vXfhfsWXzPKt/+O2Mo9icyJPNUJBT5idjAkBeIlEhE2oRPMhGVzHhtEkRyR2gJwE6O2IIbmvMbMWdStwGQOiZSJJVUCQsFgqBYLDZVYqh21TgoD1LPLtWSJwTvXgmkAW3qMZHdVl5tt52sSN4UdDqZVP8At7h9xVzrHTbTdS0oJ1FuIrcgKoxjKUJA8waKNu4RegN06ptXpvImcbltG50zUwvxxECWkmvWJx55SR6wvyz6lWB9SwKYiu2E9KZC6/hEd6ha1+m8mEGN+8R8MeL8V+j6ZZhptPbGfUambCUyBWU5FX+i/t29O3p5vbva22SJSGByn5Y80dTfj/yHVzUSunMIk9qIuSaA+GEaADsRCw2YUTMqbMHTMi7IsFSKAYoSZi29SyxcckRKJG0cECijtizOMULF6QBlRijf0bSerBETskgHFkAYMg4Xhkx5om2M4HBeO1JuxNOJCptrtZVVCVEM4TENRSnz3quPJAxLuhcl4XwRtEjMBRRna8MScwIoxVu9IPKI8vUw4g70Op6O3/8AzOovctkYRmamPenT/DH7yEoSOcfM6EJiN63gYzD0X17MtJdNM9usX7EJ6HU29TbO52kO5PeslxvlFHK8ZcNyymOOBXn6qY0umFTOdCewFDSdD05jpLLfrurXY+GMeEXxkdwXk2pR0+j00M+o1NwgEsKznJf8H+3c9noFuf8AqNSHBvNvP4fuxX/H6A5rsB9a9iTLg6ncuSMpSLp5Ek8k4x3qg8SIdVqVXBMGVSsXVdjkJhF0JTgAmt0IFEfmhwKyam1ETPzYI3NHN3wCadssN6AIZCiNKI7SAaITs3DGQ4KNu/8AUgOKjHVWRmONFmskRJqEfKuU3MvDN+1YApp2oy7V9XTDtC+a2V9LUxrgJUTwaY/CQV4rUhzZbwuaYp0AyE5BeVA4oyMcU5XiFDgyaYoMFnjRMKXwO8r9LdPgn4C/PBaro2piDftxzaW5vjIViR3rUaLXQy3rEzAwPLeuSoGG8lOfFJAQDBZ8xiRUELy5COos4eXcAK83V2JdKJxuu9s9xXm9Ktw6rL/zAiQj/hQvdRlc0vQ7UvrX5AxdvktxOMuaGn00beg6Zo4ZrlyRAwFZzl80io/t79vxnZ/b0LgjKQcG+Qfjn+DhFQ6PoGPUJwfU3hiHGCMpP5ki55o5viKMY1IRDLKYsOJWDKodOIunAZPRVVAqhMgQgCWTZkSWKzRDFMSTFCGoEXNC6z2JAE4MqBwFIYKTbGZSfY6FUPEVWSx2cFjsC8MiO9eG4SOdU12zbuDmGPsX1dLKB4wl/NeDUStS4Ti49YT2L9q8NwEmPqKBlYllfEBx7FWLECqfNR0ITYhZrdSjby4YL6cD5kdy/JnwwKgcjB95AoreqtzhCVJHxKzOV2MswyyA3hWf3BC4LEbv09QcpIJHwmi/+ytgDHNEhZdLrdPKAo5kY+8LNC0NR+KE4y9gKEf0c4c5RMR7UP11+FqLfCKlZdDpvMu/+aajbiZ3jItCzAF3PCIxVrq/7hu3NJZpK306MmnMf+z7o/Cjqdbdt6PRWQwdgOyI3lQ0djUXLXRokG3poU8w/euHf2KfWJ2owvTi2nBFSTvUpSJndvTc96hO7+fMeCCkSXPBOVlBdC7L4RvXlwqyLpnw9Ciqniq7MSqnZgniSOxAG4WCELswXpVGVsjMUSIkx3JpCqfgpDbRBit6xKx2uVgmqqFY7KIAuhKFyURwdeXmjPlOIKe7orE+eVvcv/r7J/zD7UMmhsx9Z+1A2tPajPc0HQn+XE4gRAWcXZkS3OaIGUiW3kr9PMvmqHUQMAaBamxOOc+X5kXrWIUrdx7UIEiTHeEI+XK4R2t71/o9JCEt0yS/sUYi+Rb+4wIbvdZL/T4aq5KgyCUZn/Ko3tRpr3SrJq96QlIjlH4vWo3NJp/P1o+LWXgJT/w7o9yueWY63qMQcmkhIUP45fKv1PWdSBZgT5Oltn6duPCMf/kVZ04ifJtkSuT4RjiodM0xy6fSxyiIwdXOq6ymnsB67yMAFJsH8HABZpAylvJTSKhIROUlydyFu3QtuRJ3qo7lgwThVGyno8lQ7MdlU8SQgJycLLcIc8Ublhq4MhYMaywPtUu1YehgqhUC5LBUWGzCiqqh04j6kKEJ2OCNfWqrigwWTKMk8aB/WjAQ+pblm55SjEhzyXhtykOABPuUbtvSXSHYeA4KJnYkD+JgvIuDGJjIcir93R6qzDT3JGUBNwQ/YEPN6lpYR5Ccj7kDq+rO2ItWvtkUJXY3dXMb7kmHqiyfSaSxpQMZiIB75Gql9X9RdGFuz4q9uCuWOn/6DSlxIWz9UjnP/wDFSnKcjKRcyJJJPaoxD/ULA+9Xup3YtdvR8JOLD/qpmNTclirfTdPRhmuNvKJmfGcEBmoEI4hAnECiJfsT5ao3uqXhCEaiDgOjDSGIugUIIKllrAYFEOFQrHbisVVU2YKo20TiRCEZl4o6lhnt19dPtRmBQ7K+jhs3bA3ogSCFA6OQgUUjGtU5WBQ8Ej2AoHybhHYw9qhO+1sR/FX2LNqo6UGOM7uR/ajGzchdmMIaa0/taIQ8jRTAOBuSD+oKIgIW5HcXKibrZ2eTYK/oNJ08XTYLSu3J4sWpEfzQNixp4nEgiRI9qrDTwhxjAn3lMb+UH7kRFPfuyuvukSVmueGPBE3bYnLe9VXRxMT+ELT6exYEdRKQaICjpLAyQAEIgcAFLUz+VypzxclY9yyrOUYiTBGjomRYcERp7srf9JZRkb05B6uSs8qyyqQdliqnZisNtVXZhswRcbKIwzFiniXLIghlTZihVU2YrHZVYrFY1VFiotI4rODuUvHvWLoZZMhlu5exCI1swORb3L6uruz4vMogzeTUJLovi6jw3KEuxWZmuaAf3LrkGpZvSiBydGUSxUYXABKiBjgaoOERGlFM4lHkaK/elUaXTmUR+ItH7VaG7MfsU4xxKJ9qYCqeQqiAESEXCLOwXwug4ZGONFKioFv2VG3BM3oYLDYeGxl4Lh7ESPi2j+Cyx2YqJ5qlTlUhI4EqgJT5XZU9SA57KFGtVCIcuytxONFp5SoMpJPJdd1QpG/qZGHZmKI5hQEA5LKPmyrzTuiCQpyhjwUgcSftWsc0u2THvBf7FmAfIXPepRKKEo8d6e1ZlMndGJPuT29DcbiQw9qJvQhbH4pBEXL0H5FF7o7l+YAUGuAhMCMESCFVYV7FT0jsoufoFCiwVcF4T4uCfLTiqhDZTZXZRUW7sTEbKB04xX6W9hKgdefobeeFyrBA6215YOBTOAFQuhOQZZRhy2YNzUbsvhth5FQhGoEmCjLUSyGVry4jmRX3qdz9QLc5l5VaqEjrIyHDMhb0rTO6QqECC0d0Qh5dichxylvamFsR5ykAvFcsiJ4yP2BDPqbNtq5hmJ9ylrJ6o6jUSBAAjliH73K8u1lY/EJJpXY2nNcoJQnrNXcnHEwjltj1l0GhpITj892YuT/7jJGOhu2rkgKRthh7gpiE5QiKZYtEokmR/qkSjVHxFl8ZQqe11UnBEHBV3+hQehisVQ+kFQLBCUCxG5CzqQMxo5Ru6dpDFkRKJDbKrHaxVDXZQrFOEHxQnAsRUIWr9kXxHA71G0LYtWY7gmJqg4pxRjb3U70ZHFCUmMRzUY2w1WUYmmp1IcDeIq0ZB4giUuwVX/Faebx0wESAaZt68Llu9Q0mi09zUamZaNq3EyKhqOv6kaaBr+ktNK52Sl8MVGOl0sQYj82545euSMNT1CzGccbcZZ5eqLojT2rupIwNID2uj+m6Zbbcblwk+xl4dFpox4ATJ9pQ0GutW4C4PpygGr3qJtyyviVIW9Vci33S3uUje1FybcZEouV4SytXMzywmjluCb7ol2RJKpisUCzgb0YilETmXxKslisVjtpswK3reqhV2iqxTnFUAKzQoRwQt3vFDiU8MpkQjO1FwstyLNtot6qqnZQrcUyoT2KpXBAMarMfiIUhLMTI9y5HemtgyPFfrdV/trXjkTvI3Izj+VA5Yx3MKMtT1m+GvXIZdPE4kq9q9QTcuymZdpJdR1kgND0V3nqZx8U+Itg/F/UvL0VmFrLH62pk2eTYmUlLS6A/8nq40kbRa1E85/N/hUo3eq39HZlhpoRy2h2mFT3qU9Jft6okUyyY+qSMr9vyo/el/wBERqdWDIfLAJrRlclvNVpNRblkMLgd6UdW9VbLiUBIEcwmlgcUTAPGVXCJhCUjyBRhK2Y8JSYe9eXdv27fIz3Jp6yAlvEQSjm1F2X9MB9q+LUS7ooAG+O4LOL040+YfyRjHWxfhKiOS/bl2SH2p4xcciCvFal6l4oEdyw2120XwqkV8CrHaEGwWKxVaqlFE25FnwUYagNIjFG5ZY7wQi8DlfFMcd6ATxK8Ue8KhrwTPRCqonC8QThRohdIrwRi9BgFmPrQApzQGETiShotN4Y4EjElW4kNah470zgIipJUOj6e59HTgQt24VJkFa6z+49EbenJE9No7lJXN4lMbo8l5t7LZsWYtZ01oASLCkYQCuaTTieg6QCQNJF4zmONyW/sWef0YH5rlAgJSOrvDERPhQjpoxsRajCoRJ1lx+AkSPVgmn5dyP8A7IRJ9a8egsTPEAx9yF65obcWrSRU+nyAhf0v0/LJc5flKnONqOe0auOClbBjG4BRgFKErkgH3U9yfzJEjmUJP9Qb0J5u1ZJ4c0TCSFXDogFqIkl3KxXhnId6/Nl614pCXaAV47UJdy8dgDmFhKJXgvN2rwXIlOAD2JzB147ZXiDFMSAngQXRMYOOSOeBHchFq8EIzLc08ZOOSx2MVHtUdxTQlmhviV5d9rdw8cEb2maUcaIQmGLshLcjGRCOQ0WFUEKKjreRyQYHm6cOOSyg15IyJIB3MgAaLM3iO9CFtxzVmFoEykzxR6V04i51nVxa7KNTF91Fb/d37wtm5qLh8zQdPu1yvUXLgO/7sVm1Mxd6jdj/AKTQxNSdxl92Cn1fX6uVqDny5EmNu3DdGEVGzrLEep3I0N8gAjsKfSa42JnDS3fCOwEI3JxzQGEoFwfUjADBYMvGWCJ4b0z+AHDirGuhI+RIiOohxgTX1LT9T0shc0mutio4kIsPCJMUL9ps7PIKQnTLuRkHykoyHwo1QES/FZjiUYgpwH9JtlCvBMhUmSAgLsQUMwYp6J4luxPG5QIRvMRhVNIREirWoBHlRJMvUU4KyyLhPtEllBwRDrNEkHkhC5LzbWBjJRlD6N/eDg6cnAUKkDUKjDZXFUOx37limjioucUDv3lAfMmiMN5UYxiTEfEeSNvTQ87q14ZbcRUxdW/3X+8IefrpnzdHobtRB6xnMHf92KNrTiN/rF6P+n05Phh+O5wiOCv9U6vqJdU6tekTIk+CHIbmCy3JfRGFoUACxyngUJA0CEbFyTgMxLx9qbX6SMicbtvwlPpNYLcj/auUKJ8s3QPnjWPsXjcctmNQp/tXqF1zEZ9FOR/7e5S1Fsf6izS4OIG9GzcO/wALqVyIHixCMHaI3LymxTAsOKAxATCjBSL7KjbT0sFg2yhXxLFUKBjIt2q7EyOZg3rHogLNyUiTREDbAjihbB3Il2qhmKAJQYuF9qxT+5O6xogRu3pig3sxXn6mUdPpY1lcmWDd6t9E/bWmua7VXZC2b1qOZ5YeFla61122L3U6TtWJ+KNomrnjNfozejf6zcH09PFj5b/NcbD+lXep29UbxvEyuRBcnvRjMEEYg8dvgkQq3C3aqzKBcpoXpGH3ZVHtTa7TATP9yFE+j1Ic4QninyGUTgY1CtaqxKVq9ZkJQkKEEKF0kDWQiIaqyfev1Fj8iVQ2MSjavRJG6SM8CfWs0ZOU8gs8mfiskSnXJY7KbMduKxWKx9DA7A5AUxmDkD3p2YJyQTtDIQGJClIqXB9ubgvLBw3bABiULty4YzNRFCGYHtQaBrvxQJoChRMyq7rLGEpHkF5uquQ0tkVM7kgD6kf05/XakfMR4HCGl0NiY6dEtcvSe3prY5n5kLluMNR1PK9/qEwA3EQf4IqXR/28Y63WROXVayJ+nb3EQ+9LmrnXOm6k39XdJnqLc5PMyOOKMCJQIPjtTwPcjLT5dN1OIrbNBJSsaiBhciag/wAAMUBG6RH7pqEI6q3E/iAYqGr6bfyTj8Vsmko8CnBEbrNdsHEHkjciMpG5AyhljhmNE0pCdz7uJQEfDHdELuRwT5h2BMAn2YKixZY7MVQ7KBVLJ5zCxBXgiF4AqFlM5i7D3hMJsi8liqLPIUTDAKUzSikee2cuAVyuB2HVX6AViDvRIPhFIhOCytWY3CbZLZZVHqKjp5aW1dYfEBlPsUYjpV26f/Uc32LzLmgNkDEXZRB9QJRjb0QvXRzaKMNFbtaSO7yovL/MULfT9LqdaZHxXZZhbjzMj4Qres/d+q/W3g0v+PsEi0DwnPGX+FRGpnZ6fpbUf9PorIAnNt0ICp/qKuaDpr9N6decC3E/VlDjOQ48EZSLk1qo3tLdNuY4Gh7Qo6frlgWNSzDVwpVDXdJu/qrEfFC5aPiA7kOndWA03U4BrOpIZzwk6lY1MMpHwy+WQ4g+m+x0BB1DVX9V+njCo8VTyZR04y/qmYXJUiT3omMssThlwTlzzQBjvT7mRkixqnJTJoAlPJEFY7cViqqhXxFY+gFPsHvCMhvWBZMRVAALKQ78UBE5Zk4FRts0iEX23p8Iq6RXxFZ7ga1GpJwXk2aWoUDb1zWCsxs2ZTL7gjqtVob/AFHU08vSWLcpB/xEBCz0z9u6rQ6PCFu3a8oNzkWKujqmjGnEx4ZX7sSfUCUb3VetWNNZJ+CzGVybd+WKhe1Nm51bUx+bVHwP/RFves+pu6bpXT7IpE5bUQB92IZ+5Xen/syx5l2sT1K+PCOduH2yV7rfX9Xc1UwXE7sic0t0YjcFK7I1lVlhsohLS3zGPzW5Vge5C31SyOn6/wCTV26RMuaGh6u2u6ef9r1G3WUODss/52jnW1qI/CRz5qvpeEIG7Kv3RistmIh+LemMiSswkVGzfl51gUySxHYUMk8lwj8uVEGw3Mi1QyIZUdOAV4gUARVfSsyJIxYo+AgFZrpyjeSiJXBKXAI5MP4NEHClF8UxTSFexCEBU4Lzb5wDgFGAkQ2BXnCWaEa0XlXRntRoHxC/Uafx2/mbEKuy+fwlXAARHMTI8ENHpRTCchvUbfTunX9TKRxhAt61C71WcOm2SxMZ+KbdgUZdRld6hdFZAnJB1GPTel2LGUMJCIMvWU4jG3xIACJ1nUtNYAx8y9CPsJQ0465p7t84W7RMzTsCu6XTabU67U2qMALcH7S6na6LpLPTLcqC5+Zc9Zp7FLUdX197WXZb7kiR3AqNqApjKW4RGJUdDpKabT+GPOW+S4g7KYbaIRhLzdKaT01ysSOXBShpsrzH1+nXa/5HU9T0YmTVuaOVJx/p4o27sDCcSxjIMRtaIdfUkH+6FltjLFPLFNFV2vGRDIR80jtqPUVmnZjdi1THwlZb1u5aPGhC8OsFvlKJCr1Cye9venlqrTdoKD3xOT4QivNsWDMNiWClGxCFkcg59ZRNy/KXJ6JzIn+CyBKoiXRTuoyji6Ft670BEVKFi3WRxWaVJnesrPCVCMQQjc0lmUycYRiSe5AabpOpuPvFuQ96NvU6I6Yz/wDIRFH9f1CGnhMvMWhml61G7e00tffFTO+XBPYhDSaezo7UR8kYwA71L9d1Wz5kf7VuQnL2Kcei6CeqkPhuXS0fUFKxa8vR6fKSI2419ZWohf6xqZWhMgRFwxj7Fmv37l0nfKRPvWkuksBcAPfRXLgfLdiJjZG3CJMpFgAv0lkg9R1Q+tcGMYncEZHfscJpJwqV2wvWJyt3IF4yiWIUNNr5/p9fGlnVigkeEkNL163+mvkfR6jbDA/1MjqbGojrNEai7arTmAmFs3JDfLB+xMPDH7ooE8imC4ekCCy8uW/FG5bYk1FUYqpUrhxCd96kMWCkOap/CBKYFUR4KVu9ZlAg7wsEbst2Ca1AyJwABKA0uinO7L5iGA9a8zW3oacSqR8RQlrNRd1EhiB4Qo+XoYTMd8zm96At6axabhGIT3NVZtRGLyiFKc+p2ZCPxZJCXuUoWJXdXcjRoBh7VKHRtBCyMBcueIhGOp6ldhbl/btnLH2I3dRcnMmplIkn2pqFtyvyFBG2StQczvclTvWNVbmMYyB9RXT9cA/mWxE+p1lAX6u4Pqio5BXb0iTmNBwG7bgsFReId+xynCBdmQ6T1eTv4dPqDiDuBKNqFwmzKsQa25x7E2ogOm68/wByP5cjzRmIC9p/lvWvFEjjRVP8F1ES+GVF50RXeyfgrsAcAj2q9aNaYKY5/wAIAJ8EQnKZNMWtTA/LICXvWaWggCfukj3FMNHEjgSSgbOls2m35R7ynv6q1bbc4+xGNmctRMfcFPWiNBo4wG6Uy6IjqRZid0Aye71C8X3CZC+rqLlyJ+KMpEq94jKEwTAnnuVwfiPvRB4oSJoiDQRRFuo4rXag0y22fuV2T/FIn2rFBabUCs9LICXYKIe0oW4yo3FDnuWD+1VgFTHhsc0PBfYmIWDJt4RL1Tgsv+C6tMDUANodUcQfukq5o9VAwuWzQ7pDcQskZ+Zpz8Vi54okfYjPS/6PX4ysn4ZdiMTF2o4VLMz2Apxp7jf0qtoxHMge8qphHtnEfavzLX/7IpomEjwE4n7VWzLtAf3LxAjtQEjUIkVoxUotvZXrRq4UwdxKlbPzBXBuf03KpsBKZHa9m9K2cfCWX+8nJvvVRbVEGWDIi7rrpB3CRCe5clMnfIkrH0b2nkdzx5FXQfvIy4LKay5LKHEE66lfl90gepSPE7eqaA4xiZQHc6I3g4L3KpQrTgmJruQqHTvVZnrwVU7uNyclOKnjtseUSLmeOUji60Om1DR1PkRBu7xLCqy3A8T8MxgRyQlCRjIVBFCF+lvTya6I+jcwE/wnmpWpylCcC0ouRgq3JHtJTEk7MdjwuSj2FZdRCF6PGQY+tPZn5M/uz+H1o25sRiDEuCrhiK4hZZUzOGVwHirbYEsicM1fScphtBTSTjFYU47AeVULeAFZIncKD0OfoSi+IUpfeqpcFLt26ibt52Zu9Ftt7TH4b9ohuxai0aZZyA9aqnGxgU2ai3FVpwaqox5ovJuSdck+zSZsPMj71Mk0EIiPYv0utHm2DgTUx7F5+ll52nNQRiEJRJEolwRuIUepWx/qLTW9WB7JehXYyxWKlllRsDUKUdRHJNvjiPsVvU6eQu2s1TDEDmFJ6PVW5vhIK1MfNEei5TbQhsANQqp2C8w1Vy6PiPhCaQbaNj7Y86KM9xCIdS2ALTaYUNxqe1Nt0tx2BmInvorpZhcAmO8elisUx2N6ELgxhISHcVY6hCueIjPt3bM1qdDjE1ie0L6o/Tag/MPhJWUte0WpHl3ZRLhjge5XdPcBeBLHiNxTBOQqqh2U2PyZTc0YBRnCTVc8FakWs6icAQflkhGcWIK01zjH0HKYegEE+1noV5b7lCG4+IhZLwyndLgnszFyPLFNIEHmmQTP2pwNkJcCo3BuCkEdlq2PmkFp9NHC3HDY5x2QuDGBBHcXXT+oRr5lsRkebP8Ax56G7WMg8ORUrUwzYHiOO17Vwgb4/Ke5WNZMCzqrf0r0hg4wJ7UDkM4nCUagp5hjwRA9EEYqcnYjH1oVotFdicYs/YhZ1IzxHwy+YKyYlxHA8trpvRBQ9AKPMsqGgDBOqHBZbviGDnELNAvHcU2/0HTM5ysjE7qbY3CKWxmdSk9AGG10HUJYz0xx7Kfx7c9wIfsUdXZD3rcczcYtVGJ2MFd0N0tb1UcoPCQ+EqdifjhAkStywopCwfJ1GOQ4HsUrdwNKJb0aYqTd6xWkkPkkY7CPulH+D2bWTozPyAkdqzNXeU0lQ02MajeFmtmu8JjsoCVQNzKMbsg4FVPL8JKB2XtTgTSKMpHxGqY7GVFrtBOuaLxHaFKBxiSCOz+MChamXnb8J5hqK4Ijwk5o9hTIEjFRnE1iQQeYVjX2sL0ct1t04qM4kiQLhWOp24O8R5hCYhOqqifgpc9hif7dx/Xsvw4V2OU3otsI2ZjgNo4zPsCIHzBEcNlcdgy4oSLRmmnjzTRDtwXhACYzaPAISxkKoHZZsD5qlOq4qlRtjbJaN4GPfuWohgDLMOyVf4wPBEk0OIQnEMAGqnOCAHcjEK/0+Z/NGeyTuuR/miCGMSxCOhvR8zTncdy8zTlidzoxIqDVHhtPNBhRaiI3NL1HZqIcR9mznsb0OK5bABvWX2p9giMI0CynciRv2UXi9aC8FFnFZfMFXaAcCg2BUQeIVuO6MdvEcEWYS4KoVq6CxhIH2rT6yOF6DE8x/Hog+CoaKhVVG5AtKJBB7Fb1tofT1AeTbpj4gnGKeMqEMRuRlKsin2hAjgtRHjAohXIfeipDgU3pNv37TcO7BN6FECnOwsqpwe3YZDHem25SgeBQI7PRrggRirZNZ2WYqop/GbZ2baK5oLh/M8VkndMbu9GMgxBYhUTejD1LKcJAgqcTuJCA+8CFc/qPpeZIU3IlPsybh6H/2Q==)
این چاله مانند حبابی در خلاء عمل خواهد کرد، یعنی دارای بار مثبت و همان جرم الکترون اصلی خواهد بود؛ به عبارت دیگر چاله مانند یک پاد الکترون عمل خواهد کرد. پس در این تصویر، پادماده متشکل از حبابهایی در دریای دیراک است. چند سال پس از اینکه دیراک پیش بینی خیره کننده خود را بیان کرد، کارل اندرسن عملا پاد الکترون را کشف کرد و دیراک در ۱۹۳۳ جایزه نوبل را برد.
به بیان دیگر پادماده به این دلیل وجود دارد که معادله دیراک دو جواب دارد، یکی برای ماده و یکی برای پادماده.(و این به نوبه ی خود پیامد نسبیت خاص است) امروز معادله مشهور دیراک در کلیسای وست مینستر ابی، نه چندان دور از مزار آیزاک نیوتون، بر سنگ مزار دیراک حک شده است.
انتهای پیام/