{
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{
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"
},
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H46GHDGD4gH5BBnb2248877H8jQkurhEsoJHAmG0856UDHuzrb5j8AlUtwMOzWDi+HhICIceD0kimurqr2ic4HhoscMBzCQjgIAJacLwNJXbCNhjeg54hnD/sj940vb1+6QfOF84bzp/XXizjbjL4484vgl3dWGMcPnqqMG4dQoyLBtiFbTEsFQ0+hjViGc/36buAEEQ8l4DhPjj/eGAexwlKeA7N+6Ia3NFDY67/cE5wp847hNJbVrXfBLb1+oQ/wMN6DKOELyDYheBguIh+rgNDiiAEsBMihABO2wP+GDKFoazwja+6DHWAhx5QcAM//EbwrA3OERL8D8LpfcmPu4oTErCSQLXfqvd3CgBhAV6e9KtaO+DXEdiGXiHc4NHDvfUJD2uL/HqGfdBOa53FyAkEjhheVysfPIMHPdfP4GHYKVKtmunVKL/d6E2CnqFM6NVl7sgG8EPy9xaZNBNtr25DsQ8u5nUP3lfcZ771CBIM8wcfnfz6rvP1VB8PQQI0E+XgphyGOSKZtAMvzsKLPXDNgmANNyd1L2Q1LYSW4KY5tAU3RXHutHagpw7BP1hBk6A9WtfDfOR7bo8VfALnEjfIdUDkmlExQS8WhvjqhBuZWnsxxTUAGOLay5QwugVBrTf5OXt9wuTD0F7oLLQfCbbqZ/rR64bfCvjiGb0HffagTdHXS7jBgR4+HeAd5z5HCb7YF9eYOL5OeD8FODORQC4IIFjABSV++GgcdYNUT4AHg9DgomFH0IOx7RiPjODHlCC+6P7GM274EeHhVbwlUCcMV8CFPS5aUR7KxRhpJL9wu9kVE2yLh4dRD9xB0m8VQ+OGIQNoaFAufrz6WQG//f5jmRoT3N1CUIR6+t/I5G+Y/AJVLcBDXdFgoicPgRaOoxs/U10rALjCBQHDc5RggHONAFwnb0Op8yBC+i1quEMFkdMJASZsxPnyv0UT23zJvcsIf8LQDJSjAzysByvYguESeFkK3hSHhKAEvVoI6jEeHo2svvMKYcRzISgT9an2Fk0EhxhahCDIlPznxL9Ntd8Etvf6n0mkcSGA4UNgj+EhuOjSz3GCLwJaMMDdTbxVTQd4KBuvWcb2ON8IqPGnRRoBPy5acFGDfXRPLPaDaOKtsUwkUBYC1X6r3t8pmIQFeFifJ/0Kawf8OoK6o11H24b20ZvC2iKTnuECGL1gaJ+gN94bwLXwwQXwXW6Agjbd2zbVoplejTLZDX2CLqCdhd7oYAwM4gZ4KANc8Xp/aB6uGbzPOFfTEq3R+i2a0DcMddXJpB0IpKCxuJ4Af2/vWTUthM9A+6AdeIeBd3g/jglWuEGK9RjpooOeMB/BNQqe3cN1FHoQq71FE9dw0KagG6j+c6JZ6ClG9CBQgs/oazY/Z69PmHwYwRuuk/AYA84bHsvRb+bGtQbaBfg3joPHTFC+vubFOw0QZGM9bph436KJXmxcv0B/EXijfno/3JD231zRNnFKAqUj4Bff0gFogMEmQWzAYTM/BO4c6xfVZF6ZBlXgWbfns0GH42FIoNQEqF+lPv2RjNcBng4CIu1kwUYIrvSLaiwwJ5IJeNYfb31nIgES8PWCEEg6BMoa4KVDk6WSAAmQwG4CDPDoCdUIlDXAq8aF60tOAN3gGKuMYVymhAdf0dWMP7y2FN8rYyoWAQpk+ueLAV76jHkEEkiLAJ6zxEsHMMQIQ69MnxnBUGQMFcKQK+ghvsmpE57DwZAirPO/cVVvw2l9BKhf9XEr014M8Mp0tmlrZAJ4IBdCFRTg4TW1+rkpPPeD4UlMJEACJEACJGALAbzhTgdseMkFnhnBy428CcOC8NIABHp4eZDWQrwIAM/w4JkSvHQCLwTw7+sth/MkQAIkQAIk0BACuPsRFOB5K4BADw8FM5EACZAACZCArQTwtjv9Rj1tI15/jof/dUKPHQJDvKwAr3nXCZ+ewR8TCZAACZAACWRKIGqAh7c/js+0pjw4CZAACZAACaRHAHqIt+B6vzOJo+GNe3idt054jTnepvd1ny7ibYB4IxwTCZAACZAACWRKIEqAh+9S4PkE/dFgU4Xxito5+PvoRz+qjjjiCP6RAX2APkAfKIEPuJ9CMelCkfLwzSh8WgPfRfQnfD7GH+DhW5P4bIb3xicCvFv8O7vL1MgS/BZ47cNrP/oAfcDrA1nqY7UADx+BxDMGvQNEq1M2DGMiARIgARIoBwH35l4nLShQBj7gjKGW+B6mKSU6RJMaWY7fBa0kARIggSz1MSzAw0es8WYwvGwlcqJ40aFJgARIoDwEshSwyMIUvCFenHK3iIwN3kRO8b1k5Tl3W3x7Cx/67eF5yYr3I9DGIqmR5flt0FISIIFyE8hKH+8RkTUiskNE3hCR80XkIvcPwoShJ/jS/UvuH4ZgVk0Ur3I7M60nARIoF4GsBKyqGEXbAEMvlfv5A611eGumVwsRBN7qjmZ5xX3+TpeObfHmTYx0GaYzw6bUyHL9PmgtCZBAeQkUXB8rpYziVV5HpuUkQALlI2CVgFXKWSpL1Mjy/UZoMQmQQDkJWKWPFK9yOjGtJgESqCSwfft2tWzZMrVw4UIr/mALbPInqwQslZCuslBqpN+DuEwCJFBGAjZpZCn0keJVxp8pbU6NwLwJSo3pp1Rzl91TLDMVggAa/HXr1qldu3YVor5hlYQNsAU2+RMDvMoArtoSNdLvQVwmARIoIwFbNLI0+kjxKuPPlDanQgDB3Ih9lWreu+MPywzyUsGddKHoubMhuNNcYAts8icGeNVCusr11Ei/B3GZBEigjARs0shS6CPFq4w/U9qcCgGn584T3OlAD/lMuSdgCoZyX+kqFTTZxACvMoCrtkSNrOJkXE0CJFAKAiY9KbLhJnus0keKV5Hdk3XPFQEMy9RBXcW0S66qycqYCZgae/OWjcldtGiROuqoo9See+6pRo0a1emgO3fuVIcddpg65ZRTOq3TGSabrBKwatFZAuupkdqbOCUBEigzAZOeZMWD+hhB3CheWbknj2sdAfbgFfqU5km8AHLt2rXqueeeU0OHDjUGeKNHj1Znn302A7wIOhdnE2pkoX/WrDwJkEBCBPKkkdTHCKpG8UrI81kMCfAZvEL7QK3i9eALb6hjRs5Q3ZtanCmW00jNzc2dArxVq1ap448/Xs2YMYMBXgSdi7MJNTINr2aZJEACRSOQR42kPoaoG8WraD8x1jfXBBDk8S2auT5FQZWrRbwQzPW5cpLq1tTS/oflNII8k4B97WtfU3PmzFGPPvooA7wQfUtiFTUy6BfDfBIggTIRyKNGUh9DVI7iVaafJ20lARIIIlCLeKHnzhvc6XnkJ538AvbII4+o733ve85hGOCFiFtCq6iRSXs0yyMBEigigTxqJPUxROgoXkX8mbHOJEACSROoRbwwLFMHdd4p8uOkcePGqYEDBzp/b775plOUX8AGDx6sDjjgANWtWze17777qr/7u79T3/zmN42HNdnEl6yECKJhFTXS6FrMJAESKBkBk54EIUhDI6mPBoEKy6J4Bbkn80mABMpEoBbxyrIHz3tO2IMXpm7JrKNGej2O8yRAAmUlkEeN9N8A9Z6b0usjxcvrDpwnARIoK4FaxKsRz+CtWbPG6anba6+9VJcuXZz5jRs3Vpye0gtYMjFcaCnUyAqX4wIJkEBJCeRJI6mPobK1eyXFq6S/VJpNAiRQQaAW8cKOCPIa8RbNikrWuGCyiUM0IwijZxNqZI1Ox81JgASsJGDSkzBD866RJnus0keKV5h7ch0JkEBZCJga+6LbbrLJKgHzBGJpzVIji/4rYP1JgASSIGDSkyTKzaoMkz1W6SPFKyvX4nFJgATyRMDU2OepfvXUxWSTVQKWVlTnKZcaWY/ncR8SIAHbCJj0pMg2muyxSh8pXkV2T9adBEggKQKmxj6psrMqx2STVQLmCcTSmqVGZuW9PC4JkECeCJj0JE/1q7UuJnus0keKV60uwe1JgARsJGBq7Itup8kmqwQsrajOUy41sui/AtafBEggCQImPUmi3KzKMNljlT5SvLJyLR6XBEggTwRMjX2e6ldPXUw2WSVgnkAsrVlqZD2ex31IgARsI2DSkyLbaLLHKn2keBXZPVl3EiCBpAiYGvukys6qHJNNVglYWlGdp1xqZFbey+OSAAnkiYBJT/JUv1rrYrLHKn2keNXqEtyeBEjARgKmxj5LOxctWqSOOuooteeee6pRo0ZVVGXSpEmqd+/e6qCDDlIjR46sWOddMNlklYB5ArG0ZqmRXo/iPAmQQFkJmPQkKxbUxwiKR/HKyj15XBIggTwRyJN4gcvatWvVc889p4YOHVoR4O3cuVP17NlTLV26VG3btk0deuihasGCBUaUJpsY4EUQRs8m1EijazGTBEigZARMepIVAuqjR6SCZileWbknj0sCJJAnAjWL17wJSo3pp1Rzl91TLKeQmpubKwK8p556Sp144ontR7r++usV/kzJZBMDvCA1NOdTI02exTwSIIGyETDpSSiDBmgk9dGsW04uxSvUPbmSBEigJARqEi8I14h9lWreu+MPyykEeX4Bu//++9X555/fflbuvvtu9f3vf7992TtjsokBXoggGlZRI70exXkSIIGyEjDpSSCLBmkk9dEgWjqL4hXonlxBAiRQIgI1iZfTc+cJ7nSgh/yEk1/A7rvvvk4B3g9+8APjUU02McDT6hdtSo00uhYzSYAESkbApCeBCBqkkdTHEB2jeAW6J1eQAAmUiEBN4oVhmTqoq5h2iUVs3LhxauDAgc7fm2++6ZTlFzAO0QwRtBRWUSNjuTR3JgESsIRA1hpJfaxR4ChelvzyaAYJkEAsAjWJV4PuTsIgf4C3Y8cO1aNHD7Vs2bL2l6zMnz/faLvJJvbg1SaS1EijazGTBEigZARMehKIoEEaSX0M0TOKV6B7cgUJkECJCNQkXg14vmDNmjXqgAMOUHvttZfq0qWLM79x40bnjLS2tqpevXo5b9McMWJE4Fky2cQAL0QQDauokYHuxRUkQAIlImDSk0DzU9ZI6qNBrPxZFK9A9+QKEiCBEhGoSbzABQLm3KVM9y2acU6BySYGeH4VDF+mRsbxQO5LAiRgCwGTnoTalnONNNljlT5SvELdkytJgARKQsDU2BfddJNNVglYeGyWyFpqZNF/Baw/CZBAEgRMepJEuVmVYbLHKn2keGXlWjwuCZBAngiYGvs81a+euphsskrAEgnhwguhRtbjedyHBEjANgImPSmyjSZ7rNJHileR3ZN1JwESSIqAqbFPquysyjHZZJWAhcdmiaylRmblvTwuCZBAngiY9CRP9au1LiZ7rNJHiletLsHtSYAEbCRgauyLbqfJJqsELJEQLrwQamTRfwWsPwmQQBIETHqSRLlZlWGyxyp9pHhl5Vo8LgmQQJ4ImBr7PNWvnrqYbCq4gP1aRN4WkfkBYdnlIvKS+4dt2kTkn9xtV4jIK+66OQH7d8qmRtbjedyHBEjANgImPSmyjSZ7Cq6PlfpF8Sqye7LuJEACSREwNfZJlZ1VOSabCi5gnxWRw0MCPK/AnSYiMz0ZCPA+7lmONEuNzMp7eVwSIIE8ETDpSZ7qV2tdTPYUXB8rNY3iVatLcHsSIAEbCZga+0bbed5556l99tlH9evXL5FDm2yyQMC6Rwzw/iAi3/UoHgO8RLyKhZAACZSRgElPGs0hSY002WOBPnZIHgO8Rrsnj0cCJJBHAqbGvtH1nDVrlpo7dy4DvA6JMs1FCfD+XkTWe4ZnopzlIvKCiMwVkQtMBXvysB7DOOd07dq10W7A45EACZBA7gjYppEmexjg5c7tWCESIAESiEfA1NiHldiytEV94f4vqAF3DnCmWE4iLV++nAGeJ9IyzEYJ8AaJyCO+ffd3l/9FROaJCIZ7Vk28CZqEV7MMEiCBohOwTSNN9jDAK7qXsv4kQAIk4CNgaux9m7QvIpg78rdHqv539m//w3ISQR4DvEGOozEAACAASURBVKoxV5QA70ER+UZISVeLyGUh69tXMcBrd3vOkAAJlJiAbRppsocBXokdnKaTAAnYScDU2AdZip47b3Cn55EfNzHAa4+tgmaqBXhd3OGZH/UUgPm93GXMPyUiJ3nWB84ywIvr0dyfBEjABgK2aaTJHgZ4NngqbSABEiABDwFTY+9ZXTGLYZk6qPNOkR83McALjLWw4h4RWSMiO0TkDRE5X0Qucv/0jt8WkXv1gjvt6Q7LxNDMBSIyzLc+cJEBXlyP5v4kQAI2ELBNI032MMCzwVNpAwmQAAl4CJgae8/qiln24AXGQ9atYIBX4fpcIAESKCkB2zTSZA8DvJI6N80mARKwl4CpsQ+yNq1n8M466yy13377qT322EMdcMABavz48UFViJRvsskqAWtAOMkAL5KrcSMSIAHLCZj0JMjkImikyR6r9JHiFeSezCcBEigTAVNjH2Y/BCyNt2iGHbPWdSabrBIwBni1ugS3JwESIIG6CJj0JKygvGukyR6r9JEBXph7ch0JkEBZCJga+6LbbrLJKgFjgFd0F2X9SYAECkLApCcFqbqxmiZ7rNJHBnjG885MEiCBkhEwNfZFR2CyySoBY4BXdBdl/UmABApCwKQnBam6sZome6zSRwZ4xvPOTBIggZIRMDX2RUdgsskqAWOAV3QXZf1JgAQKQsCkJwWpurGaJnuy0sdfi8jbIjI/QNM+JCI3i8hrIvKyiBwesF1FNgM843lnJgmQQMkImBr7oiMw2ZSVgFUIT4EWqJFF/xWw/iRAAkkQMOlJEuVmVYbJnqz08bNu0BYU4J0sIpNEBIHeUSLybBQNpXhl5Vo8LgmQQJ4ImBr7PNWvnrqYbMpKwKLoUR63oUbW43nchwRIwDYCJj0pso0me7LUx+4hPXi3i8jZHoF8VUT+1bNsnKV4Fdk9WXcSIIGkCJga+6TKzqock01ZCphRhHKeSY3Mynt5XBIggTwRMOlJnupXa11M9mSpj2EBXouIfNqjlTNE5EjPsnf2AteIOV27dq2VCbcnARIgAesImBr7Rhu5cuVKdeyxx6o+ffqovn37qrFjx8aqgsmmLAXMK0JFmWeAF8sFuTMJkIAlBEx60mjTktRIkz1Z6mNYgNdqCPCOqCaiFK9GuyePRwIkkEcCpsa+0fVcvXq1mjt3rnPYTZs2qV69eqkFCxbUXQ2TTVkKWDU9yuN6amTd7scdSYAELCJg0pNGm5ekRprsyVIfwwI8DtFstKfxeCRAAtYQMDX2YcZtePhhtfi449XCPoc4UywnnU4//XQ1derUuos12ZSlgOUxgKtWJwZ4dbsfdyQBErCIgElPwszLu0aa7MlSH8MCvFN8L1l5rppwYT3FK8w9uY4ESKAsBEyNfZDtEK5FAw9TCz/Rp/0Py0kGecuXL1cHHnig2rhxY1A1quabbMpSwKJoUt62oUZWdTNuQAIkUAICJj0JMrsIGmmyJyt9vEdE1ojIDhF5Q0TOF5GL3D9oIt6eeauILBWRV0Kev6vQT4pXkHsynwRIoEwETI19kP1Oz50nuNOBHvKTSO+//746/PDD1QMPPBCrOJNNWQlYhfAUaIEaGcsFuTMJkIAlBEx6EmRaETTSZI9V+kjxCnJP5pMACZSJgKmxD7IfwzJ1UFcx7XNI0C6R87dv365OPPFENXr06Mj7BG1osskqAWtAoEiNDPIu5pMACZSJgElPguwvgkaa7LFKHyleQe7JfBIggTIRMDX2QfandXdy165d6txzz1WXXHJJ0KFryjfZZJWAMcCryR+4MQmQAAnUS8CkJ0FlFUEjTfZYpY8M8ILck/kkQAJlImBq7IPsT+v5gtmzZysRUQMGDFADBw50/lpbW4OqUTXfZJNVAsYAr6oPcAMSIAESSIKASU+Cyi2CRprssUofGeAFuSfzSYAEykTA1NiH2Q8Bc+5SpvgWzbDjR1lnsskqAWOAF8UNuA0JkAAJxCZg0pOwQvOukSZ7rNJHBnhh7sl1JEACZSFgauyLbrvJJqsEjAFe0V2U9ScBEigIAZOeFKTqxmqa7LFKHxngGc87M0mABEpGwNTYFx2BySarBIwBXtFdlPUnARIoCAGTnhSk6sZqmuyxSh8Z4BnPOzNJgARKRsDU2BcdgckmqwSMAV7RXZT1JwESKAgBk54UpOrGaprssUofGeAZzzszSYAESkbA1NgXHYHJJqsEjAFe0V2U9ScBEigIAZOeFKTqxmqa7LFKHxngGc87M0mABEpGwNTYFx2BySarBIwBXtFdlPUnARIoCAGTnhSk6sZqmuyxSh8Z4BnPOzNJgARKRsDU2BcdgckmqwSMAV7RXZT1JwESKAgBk54UpOrGaprssUofGeAZzzszSYAESkbA1NhngaBbt26qf//+zjfw4rbPJpusEjAGeFm4KI9JAiRQQgImPckCQ1IaabLHKn2MewGRxcnlMUmABEggaQKmxj7pY0QpD+K1bt26KJtW3cZkk1UCxgCvqg9wAxIgARJIgoBJT5Iot9YyktJIkz1W6SMDvFpdi9uTAAnYSMDU2IfZ+eoza9SdQ55Q4y6c4UyxnERKSrxQF5NNVgkYA7wkXI5lkAAJkEBVAiY9Cdsp7xppsscqfWSAF+aeXBeJwLwJSo3pp1Rzl91TLDORQMEImBr7IBMgXLf98FEnuEOAhz8sJxHkde/eXX3yk59Uhx9+uLr99tuDqhAp32STVQLGAC+SH3AjEiABEohLwKQnQWUWQSNN9liljwzwgtyT+ZEIIJgbsa9SzXt3/GGZQV4kfNwoPwRMjX1Q7XTPnQ7u9BT5cdObb77pFLF27Vp16KGHqlmzZtVdpMkmqwSMAV7dvsEdSYAESKAWAiY9Cdq/CBppsscqfWSAF+SezI9EwOm58wR3OtBDPhMJFIiAqbEPqr4O6EzToH3qyW9ublajRo2qZ1dnH5NNVgkYA7y6fYM7kgAJkEAtBEx6ErS/SRt1XtA+9eTH0UiTPVbpIwO8elyK+7QTwLBMHdRVTLu0b8IZEigCAVNjH1TvtO5Obt68WW3atMk5LOaPPvpoNWnSpKBqVM032WSVgDHAq+oD3MB+AptfWKtWj3xWrWp63JlimYkEkiZg0pOgYxRBI032WKWPDPCC3JP5kQiwBy8SJm6UfwKmxj6o1mk9X7B06VJnWCaGZvbt21eNGDEiqAqR8k02WSVgDPAi+QE3spcAgrk3rnzCCe4Q4OEPywzy7D3nWVlm0pOguhRBI032WKWPDPCC3JP5kQjwGbxImLhR/gmYGvuwWkPA9F1KTLGct2SyySoBY4CXN5djfRpMQPfc6eBOT5HPRAJJEjDpSVj5eddIkz1W6SMDvDD35LpIBBDk8S2akVBxo/wSMDX2+a1ttJqZbCq4gP1aRN4WkfkBsd2xIrJRRF5y/4Z7tjtJRF4VkddEZLAnP3SWGhnN17hVNgR0QGeaZlMjHtVWAiY9KbKtJnsKro+VWkbxKrJ7su4kQAJJETA19kmVnVU5JpsKLmCfFZHDqwR4LZUq5yx9RESWikhPEdlTROaJSF/Ddp2yqJFZeS+PG4UAe/CiUOI2SRAw6UkS5WZVhsmegutjpX5RvLJyLR6XBEggTwRMjX2e6ldPXUw2WSBg3esI8I4WkSke9RsiIvirmqiR9Xge92kUAT6D1yjSPI5JT4pMxWSPBfrYoWkUryK7J+tOAiSQFAFTY59U2VmVY7LJAgGrFuC96/bQTRKRfq7afV1Exncon5wrIuM8y/7ZC1xOc7p27ZrV6eNxSSASAQR5uicPU75gJRI2blQjAZOe1FhErjY32WOBPnZoGQO8XPkbK0MCJJARAVNjn1FVEjusySYLBCwswNtbRP7BVbiTRWSJO3+GIcC7pUMJg+eokYm5IwsiARIoMAGTnhTYHGWyxwJ97BAzileR3ZN1JwESSIqAqbFPquysyjHZZIGAhQV4HeK2e26FiHxcRDhEMysn5HFJgASsIGDSkyIbZrLHAn3s0EAGeEV2T9adBEggKQKmxj6psqOWc95556l99tlH9evXr32Xd999V51wwgnq4IMPdqbr169vX1dtxmSTBQIWFuDtJyIfchXuUyKy0l3eQ0SWiUgPz0tW9PDNDkE0zFEjq3kZ15MACZSBgElPGm13khppsscCfexQMYpXo92TxyMBEsgjAVNj3+h6zpo1S82dO7ciwLv88svVyJEjnapgesUVV0SulsmmggvYPSKyRkR2iMgbInK+iFzk/kHYfiAiC9xn8J4RkWM61E4wZHOx+zbNYZ780FlqZGR344YkQAIWEzDpSaPNTVIjTfYUXB8rtYzi1Wj35PFIgATySMDU2IfVc+HjM9XtF39b3TjoVGeK5STS8uXLKwK83r17q9WrVztFY4rlqMlkk1UCVilnqSxRI6N6G7cjARKwmYBJT8LszbtGmuyxSh8pXmHuyXUkQAJlIWBq7INsh3CNPeer6sYzT2n/w3ISQZ4/wOvSpUtFNT72sY9VLIctmGyySsBSCekqC6VGhnkY15EACZSFgElPgmwvgkaa7LFKHyleQe7JfBIggTIRMDX2QfY7PXee4E4HesiPmxjgVQZYWS9RI+N6NPcnARKwgYBtGmmyhwGeDZ5KG0iABEjAQ8DU2HtWV8xiWKYO6iqmg06t2K6eBX+AxyGa2YZ4DPDq8WLuQwIkYBsB2zTSZA8DPNu8lvaQAAmUnoCpsQ+C0sgevMsuu6ziJSt46UrUZLLJKgFrQOzHAC+qt3E7EiABmwmY9CTI3iJopMkeq/SR4hXknswnARIoEwFTYx9kf1rPF5x11llqv/32U3vssYc64IAD1Pjx49U777yjjj/+eOczCZjiswlRk8kmqwSMAV5UV+B2JEACJBCLgElPggosgkaa7LFKHxngBbkn80mABMpEwNTYh9kPAXPuUib8Fs2wY9a6zmSTVQLGAK9Wl+D2JEACJFAXAZOehBWUd4002WOVPjLAC3NPriMBEigLAVNjX3TbTTZZJWAM8Iruoqw/CZBAQQiY9KQgVTdW02SPVfrIAM943plJAiRQMgKmxr7oCEw2WSVgDPCK7qKsPwmQQEEImPSkIFU3VtNkj1X6yADPeN6ZSQIkUDICpsa+6AhMNlklYAzwiu6irD8JkEBBCJj0pCBVN1bTZI9V+sgAz3jemUkCJFAyAqbGvugITDZZJWAM8Iruoqw/CZBAQQiY9KQgVTdW02SPVfrIAM943plJAiRQMgKmxr7oCEw2WSVgDPCK7qKsPwmQQEEImPSkIFU3VtNkj1X6yADPeN6ZSQIkUDICpsa+6AhMNlklYAzwiu6irD8JkEBBCJj0pCBVN1bTZI9V+sgAz3jemUkCJFAyAqbGvtEIzjvvPLXPPvuofv36tR+6ublZ7b///mrgwIHOX2tra/u6ajMmm6wSMAZ41VyA60mABEggEQImPUmk4BoKSVIjTfZYpY8M8GrwLG6qHnzhDXXMyBmqe1OLM8UyEwnYQMDU2DfarlmzZqm5c+d2CvBGjRpVV1VMNlklYAzw6vIL7kQCJEACtRIw6UmtZcTdPkmNNNljlT4ywIvrbuXZH8FcnysnqW5NLe1/WGaQVx4fsNlSU2MfZu/mF9aq1SOfVauaHnemWE4iLV++nAFeAwK3qIegRibh1SyDBEig6ARs00iTPQzwiu6lrH9dBNBz5w3u9DzymUig6ARMjX2QTQjm3rjyCSe4Q4CHPywnEeSZArxu3bqpAQMGKAxPWb9+fVC1OuWbbLJKwKJGaTG2Y4DXya2YQQIkUEICJj0JwlAEjTTZY5U+UryC3JP5fgIYlqmDOu8U+UwkUHQCpsY+yCbdc6eDOz1FftzkD/DeeusttXPnTtXW1qaGDh3qBHlRj2GyySoBixG4Rd2VGhnV27gdCZCAzQRMehJkbxE00mSPVfpI8QpyT+b7CbAHz0+EyzYRMDX2QfbpgM40Ddonar4/wPPuF7bOu52eN9lklYBFjdJibEeN1N7EKQmQQJkJmPQkiIdJG3Ve0D5R88N0MGydv3yTPVnq40ki8qqIvCYigw2a1UVEHhGReSKyQETOM2xTkUXx8p9yLgcR4DN4QWSYbwMBU2MfZFcj706uXr26vRpjxoxRgwYNal+uNmOyKUsBqxCfgixQI6t5GdeTAAmUgYBJT4LsLoJGmuzJSh8/IiJLRaSniOzpBnF9fRo5VER+6ubtIyLr3W19m3UsUryC3JP5JgII8vgWTRMZ5hWdgKmxD7IprecLzjrrLLXffvupPfbYQx1wwAFq/Pjx6pxzzlH9+/d3nsE77bTTlDfgC6qfzjfZlJWAdahOseaokdqbOCUBEigzAZOeBPEogkaa7MlKH48WkSkeaRwiIvjzJiz/QkQ+JCI93J6+D3s38M9TvILck/kk0EFgwZsb1eT5azoyOGcdAVNjH2YkBEzfpcQUy3lLJpuyEjC/9hRlmRqZN69mfUiABLIgYNKTsHrkXSNN9mSlj18XkfEeUTxXRMZ5ljG7l4g8KiJrRGSziJziW68XL3CNmNO1a9ew88N1JJAtgXkTlBrTT6nmLrunWG5wWrZuszri2mnqP26YobZu39ngo/NwjSJgauwbdey0jmOyKSsB0+JTtCkDvLS8k+WSAAkUiYBJT4pUf39dTfZkpY9nGAK8W3xiiSDwJrcH72ARWS4ie/u2qVikePlPOZdzQwDB3Ih9lWreu+MPyw0M8lZv+KszJPWT10xVS9a+nxs0rEjyBEyNffJHaWyJJpuyErAK4SnQAjWysT7Lo5EACeSTgElP8lnTaLUy2ZOVPkYZotkqIp/xaOdMEfmUZ7nTLMUrmiNwqwwIOD13nuBOB3rIb0B6d/M29fnRj6n+wyerV97Y0IAj8hBZEjA19lnWJ4ljm2zKSsA6iU9BMqiRSXgiyyABEig6AZOeFNkmkz1Z6eMeIrLMfbZOv2Sln08jfykiV7t5+4rImyLycd82FYsUryK7p+V1x7BMHdRVTLukbvimrdvVqTfPVr2HTVTPLH0n9ePxANkTMDX22dcqXg1MNmUlYBXCU6AFamQ8H+TeJEACdhAw6UmRLTPZk6U+niwii923aQ5zNfIiEcEf0v4iMlVEXhGR+SJyjpsfOKF4Fdk9La97Rj14eM7uzNueUgcNaVUzF+XvxRmWn/XMzDM19plVJqEDm2zKUsAChSjHK6iRCTkjiyEBEig0AZOeFNkgkz1W6SPFq8juaXndM3gGb/vONvXfv3lOdR/coh568Q3LAdM8LwFTY+9dX8R5k01WCVgDAkNqZBE9n3UmARJImoBJT5I+RiPLM9ljlT5SvBrpTjxWzQQQ5DXoLZptbbvUj+55QXVralG/fXpFzVXlDsUmYGrsG23RypUr1bHHHqv69Omj+vbtq8aOHetU4d1331UnnHCCOvjgg53p+vXrI1XNZJNVAsYAL5IfcCMSIAESiEvApCdxy6x1/yQ10mSPVfrIAK9W9+L2NhLYtWuXuvLBV5zgbtzMJTaaSJuqEDA19lV2SXw1PmI+d+5cp9xNmzapXr16qQULFqjLL79cjRw50snH9Iorroh0bJNNVgkYA7xIfsCNSIAESCAuAZOexC2z1v2T1EiTPVbpIwO8Wt2L29tIYNTkvzjB3fWtCxWCPabyETA19mEU5s2bp8aMGaOam5udKZaTTqeffrqaOnWq6t27t4KwIWGK5SjJZJNVAsYAL4obcBsSIAESiE3ApCdhheZdI032WKWPDPDC3JPrykDg/2YtdYK7wQ/MY3BXhhMeYKOpsQ/YVEG4RowY4QR3CPDwh+Ukg7zly5erAw88UG3cuFF16VL55tiPfexjQVWryDfZZJWAMcCrON9cIAESIIG0CJj0JOhYRdBIkz1W6SMDvCD3ZH4ZCNz73OtOcHfx7+eqnW3suSvDOQ+y0dTYB22re+50cKenyE8ivf/+++rwww9XDzzwgFMcA7wGRHIBh6BGJuHRLIMESKDoBGzTSJM9DPCK7qWsPwkopVpfXq16DG5R3/rVs2rbjjYyKTkBU2MfhEQHdKZp0D5R87dv365OPPFENXr06PZdOESzPfr6tYi87X4GqD3TM/NNEXnZ/XtKRAZ61q1wPyH0Ui0izgCv3Q05QwIkUGICtmmkyZ5atMGjLfmcpXiV+Ndaj+kNfKtlPdWLus+sV99WBw9tVV/7xZPqr9t2Rt2N21lMwNTYB5mbVg8env8899xz1SWXXFJx6Msuu6ziJSt46UqUZLKp4AL2WRE5PCTAO0ZE/tFV2y+JyLMe5UWA93HPcqRZamQUT+M2JEACthMw6UmQzUXQSJM9BdfHSk2jeAW5J/M7Ecjgu3Sd6pBAxpwV76o+V05SXxr7uNrw1+0JlMgibCBgauyD7Err+YLZs2crEVEDBgxQAwcOdP5aW1vVO++8o44//njnMwmY4rMJUZLJJgsErHtIgOcVOAR6b3oyGOBFcRpuQwIkQAIGAiY9MWzmZBVBI032WKCPHZLHAC/IPZnfiYDzPbq9lWr2/SG/IGnh6o1qQPNkdeyoR9Xbmz4oSK1ZzUYQMDX2YceFgOm7lJhiOW/JZJMFAhY1wLtMRMZ3qJ0sF5EXRGSuiFzgyTfNYv0c/HXt2jVvp5X1IQESIIGGEzDpSVgl8q6RJnss0McOPWOAF+aeXFdBoLlL5+DOCfYq3/BXsU+OFpat26yOuHaaOur66WrV+i05qhmrkgcCpsY+D/WKUweTTRYIWJQA7zgRWSQi/9yhdrK/O/8vIjJPRDDcs2qiRsbxQO5LAiRgCwGTnhTZNpM9Fuhjh6ZRvIrsng2ue4F78FZv+Ks6ZuQM9clrpqola99vMDgerggETI19EeodVkeTTRYIWLUA71ARWSoivTuUrtPc1SKCHr6qiRoZ5mFcRwIkUBYCJj0psu0meyzQxw5No3gV2T0bXPeCPoP37uZt6vOjH1P9hk9WL6/a0GBoPFxRCJga+6LUPaieJpssELCwAK+riLwmInjZijd9VET2cjMwjzdsnuTdIGieGhnkXcwnARIoEwGTnhTZfpM9Fuhjh5RRvIrsnhnUvWBv0dy0dbs69ebZqvewieqZpe9kAIyHLAoBU2NflLoH1dNkU8EF7B4RWSMiO0TkDRE5X0Qucv8gbHjm7j0RwacQvJ9D6OkOy8TQzAUiMqxDBcPnqJFB3sV8EiCBMhEw6UmR7TfZE1cfcffww66kYAjJ6SLyN+ESk95aileR3ZN1DyOwdftOdeZtT6mDhrSqGYveCtuU60hAmRr7omMx2RRXwBJSo1zpYJhN1Mii/wpYfxIggSQImPQkiXKzKsNkT1x9xBu8/l5EDhCRVSLyoIj8Pkxg0lxH8crKtXjcNAls39mmzr/zOdV9cIt66MU30jwUy7aEgKmxL7ppJpviClhCepQrHQyziRpZ9F8B608CJJAEAZOeJFFuVmWY7Imrj3hNM9IPReQKd/5Fd9rwCcUrK9ficdMi0Na2S11674uqW1OL+u3TK9I6DMu1jICpsW+0iStXrlTHHnus6tOnj+rbt68aO3asU4Xm5ma1//77V3wbL0rdTDbFFbCERCpXOhhmEzUyiqdxGxIgAdsJmPSk0TYnqZEme+LqI4K5o0XkGRHp5wrLK2ECk+Y6ilej3ZPHS5PArl271FUPveIEd+NmLknzUCzbMgKmxr7RJq5evVrNnTvXOeymTZtUr1691IIFCxQCvFGjRtVcHZNNcQUsIT3KlQ6G2USNrNntuAMJkICFBEx60mgzk9RIkz1x9fFzIvKwiDS5ooKHv28OE5g011G8Gu2ePF4nAgm+uOXGKX9xgrvrWxcqBHtMJBCVgKmxD9t39ZqH1BNPfFpNn3GQM8Vy0un0009XU6dOtTHAy5UOhmksNTJpr2Z5JEACRSRgm0aa7Ikb4IVpScPXUbyK+DOzqM6mTy/g4+k3dFcK62pIdzy+1Anumv44j8FdDdy46W4CpsY+iA2CuZmP9lPTZ/Rs/8NykkHe8uXL1YEHHqg2btzoBHjdunVTAwYMUOedd55av359UNUq8k02WSVgDVBMamSFS3GBBEigpARMehKEoggaabKnXn18xO25Q++d6a8BUtX5EBSvIPdkfkMIBH08HUHeiH0jB3kTnlvpBHcX/26u2tnGnruGnDvLDmJq7INM3N1z1xHc6UAP+Umk999/Xx1++OHqgQcecIp766231M6dO1VbW5saOnSoE+RFOY7JpnoFrLN61JWTSx0Ms4QaGcXTuA0JRCCQ4GidCEfjJgkTMOlJ0CGKoJEme+rVRwxJwd/PRWSCiJzm/v1BRK4PE5g011G8gtwzB/llaAybuyiFYC7oDwFgldT68mrVY3CLOvdXz6ptO9qqbM3VJGAmYGrszVsqZ1imDuoqpwcF7RI5f/v27erEE09Uo0ePNu6Dnr1+/ar/LrCzyaZ6BSwhHcqlDobZRo00uiEzSaA2AqbROjXcxK3tYNw6DQImPQk6Dh5dqNRGfUM0PxppsieuPj5uEBNTnmGz5LMoXkHumXF+WRrDsB48J+jrEnoiZr36tjp4aKv62i+eVFu27QjdlitJIIyAqbEP2j6tu5N4bvTcc89Vl1xyScWh8WC5TmPGjFGDBg3Si6FTk01xBSwhFTJpnikvocPVXww1MtTFuJIEohEI0voIN3GjHYBbpU3ApCdBxyyCRprsiauPi0QEL1bRqYeIIC+TRPEKcs+M88vSGJoCWW9vXkjjP2fFu6rPlZPUSWMfVxv+uj3jE8bDF52AqbEPsimt5wtmz56tRMR51m7gwIHOZxFaW1vVOeeco/r37+/kn3baacob8AXVEfkmm+IKWEJClSsdDLOJGhnmYVxHAhEJBI7WCb+JG7F0btYAAiY9CTpsETTSZE9cffyiiKwUkcfcvxUicmKYwKS5juIV5J4Z55epMUSQh5eqeAM7zIcM31i4eqMa0DxZHTvqFnks0AAAIABJREFUUfX2pg8yPlk8vA0ETI19mF0QsN13KdN7i2bY8aOsM9kUV8AS0qNc6WCYTdTIKJ7GbUigCoGy3LSugqHIq016EmZP3jXSZE8cffywiJwpIn8rIgPdP8xnliheYe6Z4boyNoYI9By7u+yeYtmQlq/brI64dpo66vrpatX6LYYtmEUCtRMwNfa1l5KvPUw2xRGwhIQqdzoYZhc1Ml8+zdoUlIBptE7ITdyCWml1tU16UmSDTfbE1cdcPWdA8cqpe7IxNJ6YNRu2qmNGzlCfvGaqWrL2feM2zCSBegiYGvt6ysnTPiab4gpYWDBUw7pc6WBYvamRefJo1qXQBCLexC20jRZX3qQnRTbXZE9cfbxKRC4TkQNF5J88f2Eak9o6ileO3ZONYcXJeXfzNvX50Y+pfsMnq5dXbahYxwUSiEvA1NjHLTPr/U02xRWwhMQoVzoYZhM1Mmsv5vFJgATyQMCkJ3moV711MNkTVx+Xi4j/b1mYwKS5juJVr2twv0YS2LR1uzrtltmq97CJ6uml7zTy0DxWSQigscdbLG1JsCUNAUtIj/waiOXMdDDMJmqkLb8I2kECJBCHgE0amXN9DJOk6OsoXnHcPUf7Wtzbt3X7TjXo9qfUQUNa1fSFb+UIOqtiE4Fly5apdevWWRHkQbxgC2zyp7h3KKOrix1bUiP9HsRlEiCBMhKwRSPT1Me/EZEficgf3b8fiAjyMkkULwt+phY/r7d9Z5s6/87nVPfBLeqhF9+w4GTRhLwSwAfGIWC4S2nDH2yBTf6UkwAvVzoYJr7USL8HcZkESKCMBGzSyLT0cbyI3CUix7t/vxER5GWSKF4W/EwtfeNmW9sudem9L6puTS3q7qdXWHCiaAIJZE8gJwFernQwTHypkdn7LGtAAiRAAo0gEFcf5xnExJRn2Cz5LIpXI1wm5WNY+M08dKFf9dArTnA3buaSlAGyeBIoD4G4ApaQCpk0z5SX0OHqL4YaWZ7fBi0lARIoN4G4+viCiBzkkZueIoK8TBLFywJntrAHb/SUvzjB3XWtdr34wgJvowkFJxBXwBISqlzpYJhN1MiCOzyrTwIkQAIRCcTVx8+LyEoReUxEZonIChE5Lkxg0lxH8Yp41vO8mWXP4N3x+FInuGv64zwrXniRZ9dh3cpHIK6AJaRHudLBMJuokeX7jdBiEiCBchJIQh//VkQOFZGBIoL5zBLFq2BOHPS2zKD8gpk34bmVTnB38e/mqp1t9ryyvmCngdW1mEASApaQYOVGB8PsoUZa/GOgaSRAAiTgIRBXH3P19jCKl+fM5n3Wsp46P+6JL69WPQa3qHN/9azatqPNv5rLJEACCRCIK2BhwVAN63Klg2H1pkYm4HQsggRIgAQKQCCuPubq7WEUrwJ4nK6ihc/aadMeX/y26jV0ovrqL55UW7bt0NmckgAJJEwgroCFBUM1rMuVDobVmxqZsAOyOBIgARLIKYG4+mh6U5gpL0xzEltH8cqpl5mqlde3ZcYcHjpnxXrV58pJ6os3zVIbtnT+bpcJBfNIgATqIxBXwBISH5PmmfISOlz9xVAj6/Mz7kUCJEACRSMQVx9z9fYwileB3O+G7ko17935D/kppQdfeEMdM3KG6t7U4kyxXJFiDhtduHqjGtA8WX3uZzPV25s+qCiaCyRAAskTiCtg9YdKFXvmSgcrauZboEYm74MskQRIgATySCCuPubq7WEUrzy6WECdGhzgIZhDzxo+NK7/sFwR5MUYNrp83WZ1xLXT1L9fN12tWr8lwGhmkwAJJEkgroD54p96F3Olg2FGUCOT9D6WRQIkQAL5JZCEPubm7WEUr/w6WqeaNXiIJnrudGDnnSK/PdVZpzUbtjo9gp+8ZqpasnZTe3GcIQESSJdAEgIWFhDVsC43OhhWZ2pkuv7I0kmABEggLwTi6uP3ReRjHkH5RxG52LPc0FmKV17cKkI9YvSWRSi90yYYlukN7PQ88ttTHXV6d/M29fnRj6l+wyerl1dtaC+KMyRAAukTiCtgCQlUrnQwzCZqZPo+ySOQAAmQQB4IxNXHlwxi8qIhryFZFK88uFTEOsR83i3iUdo3i9SDV2Od3v9ghzrtltmq97CJ6uml77QfizMkQAKNIRBXwBISplzpYJhN1MjG+CWPQgIkQAJZE4irjy+LyIc8gvIREVngWW7oLMUra3eq8fgx31hZy9EiPYOHAiPWaev2neqs259WBw1pVdMXvlVLVbgtCZBAQgTiClhCApUrHQyziRqZkOOxGBIgARLIOYG4+jhKRO4XETxkfryI3Ccio8MEJs11FK+ce1vG1UOQF/oWzYj1276zTZ1/5/Oq++AW9dCLvjdxRiyDm5EACcQnEFfAEtKjXOlgmE3UyPg+xxJIgARIoAgE4urjh0XkIhH5o4g8ICIXigh68aKkk0TkVRF5TUQGB+xwrIhg+At6BWcFbNOeTfEqgssVu45tbbvUpfe+6DzPd/fTK4ptDGtPAgUnEFfA2sUj3ky9OvhrEXlbROYHHB6jY252NRK9hId7touin57Nd89SIwvu8Kw+CZAACUQkkJU+IghcKiI9RWRPEcFHYfv61Agvb1koIl3d/H/xre+0SPGKeNa5WV0Edu3apYY/9IoT3N0yY3FdZXAnEiCB5AhkJWCdxKe+jM+6QVtQgHeyiExyH4M4SkSedQ8TRT+NNaJGJud7LIkESIAE8kwgK308WkSmeBRoiIjgz5vwNs4R3oxq8xSvPLta8es2espfnOBuRMsChWCPiQRIIFsCWQlYNS2qYX33kB6820XkbE9ZGPHyryISRT89u3XMUiOz9VcenQQaTeDN9/7a6EPyeDkhkJU+fl1ExnfIjpwrIuM8y5gdKyK3ishjIjJXRL7lW99pkeKVE6+ysBp3PL7UCe6uuH8egzsLzy9NKiaBrASsk/jUnxEW4LWIyKc9Rc8QkSNFJIp+enbrmKVGFtPPWWsSqJXAhi3bFa5Xeg2bqJasfb/W3bm9BQSy0sczDAHeLR0y5Mwh4HtGRD4qIh8XkSUi0tu3DRYvcI2Y07VrVwtOCU3IG4EJz610grvv/W6O2tnGnru8nR/Wp7wEshIwgw7VmxUW4LUaArwjRCSKfnrrQ40s70+ElpeQwMSXV6sjR0xTPYe0qusnLlR46zdT+QjE1UfcTXxQRF4QETwE/oo79YqLaT7KEBO8eOVqz86/coXNk1U5y7uT5XPgtC1GQ9ljcIs6Z/wz6oMdbCTT5s3ySaAWAnEFrFJB6l6qVwdxwLAAj0M0a3EGbksCJSfw1sat6oK7n3duSJ/888fVK29sKDmRcpsfVx/xTMDpItJDRLp5/qop5R4isszdT79kpZ9vp0NEBENSsO3fu88p9PdtU7HIAK/czpy09Y8vflv1GjpRffUXT6ot23YkXTzLIwESiEkgroBVCEj9C/XqII4YFuCd4nvJynNuFaPop9EaamRMh+PuJJBDAni79x+efV31b56seg+bqH752Gtqx862HNaUVWokgbj6+IRRRaJl4g1hi923aQ5zd8EnF/Cn0+XumzTxlrFLdWbQlOLVSNex+1hzVqxXfa6cpL540yyFsexMJEAC+SMQV8CCtKTG/Hp18B4RWSMiO0TkDRE539U/rYH4TAKeQ8cbpzE6Bj2FOpn0U68LnFIj8+fDrBEJxCGwbN1mNej2p5xeO0yxzEQCIBBXH/GBc7wsBW/6+qrnL1Bg0lxB8aJTJ0Fg0ZqNakDzZPW5n81Ub2/6IIkiWQYJkEAKBOIKWEJ6lCsdDLOJGpmCE7JIEsiAwPadbeoXj77m9Nih5+6eZ1/nC+AyOA95PmRcffydW8BdIvIb9w8fb80kUbzy7GrFqNvydZudh5P//brpauW7W4pRadaSBEpKIK6AJSRUudLBMJuokSX9odBsqwjg2To8Y9etqcV55g7P3jGRgJ9AXH3EsJHcJIqX//RyuRYCazZsVf9xwwx12E+mqCVrN9WyK7clARLIgEBcAUtIvHKlg2E2USMzcFIekgQSIvDXbTvV9a0Lnbdj4i2Zk15ZnVDJLMZGAnH18Q4R6RsmKI1cR/Gy0UUbY9P6zdvUCaMfU/2GT1bzVr3XmIPyKCRAArEIxBWwhPQpVzoYZhM1Mpa7ceeiEJg3Qakx/ZRq7rJ7iuWCpyeXrFOf/dlMp9eu6Y/z+G6Agp/PRlQ/rj4uEpHtIoK3iNXymYQwDap7HcWrES5j3zHe/2CHOv2W2c4HQZ967R37DKRFJGApgbgCVrfYVO6YKx2srFrlEjXS0h8CzeoggGBuxL5KNe/d8YflggZ5+oPlGI6JAO/J19Z12Mo5EgghEFcfvZ9G8M5XqkqDliheIWeaq4wE8AHQs25/2hnyMG3BW8ZtmEkCJJBPAnEFLCFp8mqfdz6h4pMrhhqZTz8uTK2K0DPm9Nx5gjsd6CG/YIkfLC/YCctZdZPQx4Ei8gP3D/OZJYpXzrwr59XBW6jOv/N51X1wi3rwhTdyXltWjwRIwE8gCQFLSLByo4Nh9lAj/R7E5cgEitIzhmGZOqirmHaJbGrWG3o/WP6lsfxgedbno6jHj6uPl7gfIL9GRPCHh81/GCYwaa6jeBXVDRtfb3wY9NJ7X3TGs9/91PLGV4BHJAESiE0groAlpEe50sEwm6iRsV2uvAUUpWesKPU0eNKuXZUfLMdnEHAjmokE6iEQVx/x3N1HPYKCeeRlkihe9bhA+fZBI9r85/lOcHfLjMXlA0CLScASAnEFLCGhypUOhtlEjbTE8bMwoyg9Y0XpafSdQ36w3AeEi7EJxNVH9Nj9P4+gYD6zV0ZTvGL7QykKGD31VSe4G9GygB8GLcUZp5G2EogrYB7tijObKx0MM4QaaesvoQF2FalnrAjPCrqnzP/B8j88+7rCCCMmEohLIK4+/lhE5onI1e7fSyJyaZjApLmO4hXXHezff/zsZU5wd8X98xjc2X+6aaHlBOIKWEJ6lCsdDLOJGmn5DyJN8wraM5Ymkrhl84PlcQly/zACSejj4SLyIxHBcwifDBOXtNdRvMJONddNeH6lE9xd9Ns5aifvkNEhSKDwBJIQsIR0KTc6GGYPNbLwLp+tAQXqGcsWVPjRnQ+WT+QHy8MpcW1cAvXq4z+JSNhfmMakto7iFdcd7N1/0iurVY/BLeqc8c+oD3bstNdQWkYCJSJQr4AlJEJhGoh1uUvUyBL9OGhqLgngO3b8YHkuT411lapXH5eLyDIRwbRNRN4RkXfdeeRlkihe1vlnIgbNXrxO9Ro6UX3l1ifUlm07EimThZAACWRPoF4BS0igcqmDYbZRI7P3WdagnAQ2/HW7avrjPGcUkfPB8iX8YHk5PaFxVsfVx9tE5GSPoHxJREZ7lhs6S/FqnOMU5UhzX1+vDrlqkvriTbPUhi3bi1Jt1pMESCACgbgClpBA5UoHw2yiRkZwKm5CAgkTwAiiI0dMUz2HtKrrJy5UGKLJRAJpE4irj3MNYjLHkNeQLIpX2u5SrPIXrdmoBjRPVp/72Uy1dtPWYlWetSUBEqhKIK6AJSRMudLBMJuokVVdihuQQGIE8MHyC++e4/Ta8YPliWFlQREJxNXHKSJypYh0F5FuIjJMRJCXSaJ4RTzrJdhs+brNzh2zf79uulr57pa6LX7whTfUMSNnqO5NLc4Uy3lIea1XHtiwDuUhEFfAEhKqXOlgmE3UyPL8NmhpdgT4wfLs2PPIHQTi6iMeJP+5iLzo/mE+s4fLKV4dJ7bMc2s2bFX/ccMMddhPpqglazfVjQJBVJ8rJzl337o1tThTLGcd5OW1XnWD5o4kUCeBuAIWFgzVsC5XOhhWb2pknY7G3UggIgHcXB50+1PO9QKm+IA5EwlkQSAn+hgmSdHXUbyycKF8HXP95m3qhNGPqX7DJ6t5q96LVTn03OnAzjtFfpYpr/XKkgmPXU4CVglYdKmre0tqZDl/J7Q6fQI7drapXzz6muo9bKLq3zxZ8YPl6TPnEcIJxNXH3iLyfyIyVURmev7qFqA4O1K8wk+27Wvf/2CHOv2W2arXsInqqdfeiW0uhmV6Azs9j/wsU17rlSUTHrucBOIKWBy98eybKx301KvTLDWynL8TWp0uAX6wPF2+LL0+AnH1cZ6IfE9EPiUiR3j+OglLIzIoXvU5gQ17bd2+U511+9POW6qmLXgrEZPy2lOW13olAp2FkEANBOIKWEK6lCsdDLOJGlmDc3FTEqhCANcdeCsm3o6Jt2ROfHl1lT24mgQaRyCuPpreHhamL6muo3g1znHydCQMjfjOXc87vW1/emFVYlXL67Nuea1XYuBZEAlEJBBXwBISpFzpYJhN1MiIjsXNSKAKAYwSwhu6MbLnivvn8TNMVXhxdeMJxNXHq0XkYhH5V/flKnjYnC9Zafx5LO0R29p2qf+590Wnkb3rqeWJc0AwhR4zvkUzcbQskARiE4grYGHBUA3rcqWDYfVmgBfb5UpTQF61L+sT4P1g+Wd+OlM9yQ+WZ31KePwAAnH1cbmI+P+WhQlMmusoXgFn2dJsvIq4+c/zneDu5umLLbWSZpEACQQRiCtgCemRXwOxnJkOhtlEjQzyJOZ7CXCUiJdGx7z+YHmPwS3q+lZ+sLyDDOfySCAn+hgmSdHXUbzy6GLp1Wn01Fed4O7aRxYoBHtMJEAC5SJglYBFl7q6t6RGluv3Ua+1uXjOe94Epcb0U6q5y+4pljNKa/nB8ozI87BxCCShj/1F5EwR+Zbnr24BirMjxSuOKxRr3/GzlznB3eX3v8TgrlinjrUlgcQIJCFgcTTHs29udNBTp06z1MjEXM/qgjJ/UzOCuRH7KtW8d8cflhsc5OHG8T3Pvu589gCfP8BnELbvbLP63NM4ewjE1cdmEXlURNaKyG9E5C0R+WMnVWlQBsXLHscMs2TC8yud4O6i385RO9vYcxfGiutIwGYCcQUsIWnKlQ6G2USNtPnXkJxtmffgOT13nuBOB3rIb1DCB8vxZm68ROXM2/jB8gZh52ESJBBXH18RkQ+LCF4TjbSviDzizjd8QvFK0DNyWhTGwGP8+znjn1Ef7NiZ01qyWiRAAo0gEFfAEhKpXOlgmE3UyEZ4ZfGPkfkzeBiWqYO6immX1OHirdy/fMz9YPlwfrA8deA8QGoE4urjc66Y4DXRe4vIh0RkQZjApLmO4pWan+Si4NmL16leQyeqr9z6hNqybUcu6sRKkAAJZEcgroAlpEe50sEwm6iR2flq0Y6c6Vs0M+rB836w/Lt3Pa/e2ri1aKeN9SWBdgJx9fEXIvIxEblIRJaIyIvuUM0wjUltHcWr/bxaNzP39fXqkKsmqS/eNIvfm7Hu7NIgEqiPQFwBS0iMcqWDYTZRI+vzM+7VYAINfgbP9MFyvritweech0ucQBx9RG/dgR4x6S4ih3qWGz5L8fL4BxrIet9AFWdfTxWSml20ZqM69Oop6rM/m6nWbuIdtaS4shwSKDqBOAKWkEDlTgfD7KJGFt3jS1T/Bl2H8IPlJfKpkpkaVx8xNDM3ieLlem+cu19x9k3hx7Pinc3qyBHT1Keum6ZWvrslhSOwSBIggaISiCtgCYlXrnQwzCZqZFE9nfVOmgA/WJ40UZaXNwJx9fFWEfm3MEFp5DqKl+teccavx9k3Ye/G+PdP/3SGOuwnU9TitzYlXDqLIwESKDqBuAKWkD7lSgfDbKJGFt3jWf8kCEx6ZY36txHTnBe28YPlSRBlGXkkEFcfF4rIThFZKiIviwjeJoZpJoni5bpYnDdQefZdeOlB6vZvfF7deObJznTh4zMb5sPrN29TJ4x+TPW9apJ6aeV7DTsuD0QCJFAcAnEFLCGhiqODJ4nIqyLymogMNtTnchF5yf2bLyJtIvJP7nYrXM3F+jmGfTtlUSOL49usafIEvB8sP2ns4+rlVRuSPwhLJIGcEIiqC52Ews3oJiKmv6DtU82neLleFacXzt0Xwd3YQSepG888pf1v7DlfVY0I8t7/YIc6/ZbZqtewiQrj45lIgARIwEQgroAlJEgmDURetfQR9+ZoTxHZ0/3cUN+QnU4TkZme9QjwPu5ZrjpLjTR5EfMCCTToObjA4ye0Ai9Mufe519WA5snOdcWtjy7hB8sTYsti8ksgJ/pYVZcibUDxch0tznN07r67e+46gjsd6N1+8bdT9Wa8zQofF+05pFVNW/BWqsdi4SRAAsUmUHABO1pEpnjEbYiI4C8o/UFEvutZyQCv2O6b79rHuY7IkWXeD5afcdtTaunb7+eodqwKCaRHoOD66JE6EWGA53GUOHfe5k1whmXqoK5iOuhUz0GSncUHRr9z1/OqW1OL+tMLq5ItnKWRAAlYR6DgAvZ1ERnvUbFzRWScZ9k7+/cist4zPBPrlovICyKCl7xc4N3YN491GMI5p2vXrtb5AA1KiUCckUApVamWYv0fLP/9M6+rtrZdtRTBbUmg0AQKro+VMsYAL7ovYqgleuNuHHSqM/UPvXTWeYZn6iAvrR48NLz/M+FFJ7i766nl0Q3hliRAAqUlUHABO8MQ4N1SqWrtS4NE5JH2pd0z+7vL/+IO7/ysb32nRWqkfT+VDQ8/rBYfd7xa2OcQZ4rlRJLneXzVvLfq+OuSSPFpFsIPlqdJl2UXhUDB9bFSvyhe0dwOwRyep9NBG6b+5+uibBPtaNW3wvj45j/Pd4K7m6cvrr4DtyABEiABpVTBBayWIZoPisg3KhWvYulqEbmsIsewQI2062eDYG7RwMPUwk/0af/DciJBXgF78PCIx8iJi5xHPI64dpqa+PJqxQ+W2+XztCY6gYLrY6WCUbyinfiovXPVevmiHa36VmOmvuoEd9c8soCNcXVc3IIESMAlUHAB20NElolID89LVvpVqpqz1MUdnvlRzzrM7+UuY/4pEcEbOUMTNdKun47Tc+cJ7nSgh/zYqWDP4Hk/WH75/S+pDVu2x0bAAkigyAQKro+VWkbxiuaKGJbp7b1rn0/x+bqgmv1q9jInuLvsvpcY3AVBYj4JkICRgAUCdrKILHbfpjnMVbSLRAR/On1bRO7VC+4Ub96c5/4tEBG9r2+zykVqpNGNCpuJYZk6qKuY9jkkGZviPMufTA2qloIPlg9+YJ5zHfGZn85UTyxZV3UfbkACZSBggT52CBjFK5rLRu3Bi1Za/Vvd9/xKp1G+8O45Cg9EM5EACZBALQSsErAOKUttjhpZi3flf9tUe/DSNh/B4w3dO57twzzyakjeD5Zf17pQ/XXbzhr25qYkYDcBq/SR4hXNWet9vi7JIZtomHsMblHnjH9GfbCDjXK0M8etSIAEvASsErDUwrqOgqmRXu8p/nyqz+CliQeB3E/+uSO40y9xuebjkYI8fLD8ot/OcW4Q84PlaZ4oll1kAlbpI8UruivWGqzVGxSaajR78TrVa+hE9Z+3PqE2f7DDtAnzSIAESKAqAasErCMOS22OGlnVpbLboM7hkAjyUnmLZpokgl7ggkAP6wISP1geAIbZJGAgYJU+UrwMZzihrKSGdc59fb065KpJ6os3zeJD0AmdGxZDAmUlYJWApRbWdRRMjczpLwXB3Yh9K3u0sFzjkMWcWte5WoGfYMDnGMyfYeAHyztjZA4JhBGwSh+tE6867+iFnfB61yXxYpZFazaqQ6+eoj77s5lq7aat9VaF+5EACZCAQ8AqAeuIw1Kbs04jbfkdBPVohfRmFdr0IHsNPXh4Pv+2x15TvYdNVP2HT1b8YHmhzzwr30ACVumjVeKVszt6cXvwVryzWR05Ypr61HXT1Mp3t9Tl4g++8IY6ZuQM1b2pxZlimYkESKC8BKwSsNTCuo6CrdJIm9w+sEfL3JtVeNNxfRPhGbz5b25Qp9z8uPOs3Xfuel6t2cAbw4U/9zSgYQSy1Ed8s+dVEXlNRAZ3SFCnuX8TkTYR+XqnNb4Mq8Qr6A5XRnf04jyD99bGrerTP52hBv5kilr81qa6nBvBXJ8rJzkNfbemFmeKZQZ5deHkTiRgBYEsBcwnP4VYtEojrfBg14ha9T5Ho3vqPg2wIeAtmvhg+Q2TOj5Y3soPlteNmTuWl0BW+vgR97s/+JbPnu63fPoaFBLbzRSRiaUL8HJ4R6/WF7PgZ7V+8zb1hTGPqb5XTVIvrXyv7l8aeu50YOedIj8osccviAzzScAOAlkJmEGrCpHFAC+nfl/LiJ1ats2juVWC06eXvqOOHfWoo/f4YPl7W7bl0QrWiQRyTyArfTxaRKZ4FHGIiODPny4Vke+LyJ2lC/BqvaOXQ1d7/4Md6vRxT6hewyaqJ1+L9/FRDMv0BnZ6HvmmxB4/ExXmkYBdBLISML9QFWWZAV6O/b9K4NNe8yJfG4QEp7s/WP6yo/P8YHn72eYMCdRNICt9xHDL8R5RPFdExnmWMXuAiMwSEfTihQV4F7hGzOnatWvdIHK3Y0hDmLu6GiqEIRZn/9/TqueQVjV1wVuGLWrLqrUHr9bta6sNtyYBEsgDgawEzKdVhVlkgJcHr41ZhxyO7olsUUBwOun6M9W/jZjmfBuXHyyPTJMbkkAogaz08QxDgHeLTyXvF5Gj3LywAK99N+vEK+odvdBT3PiVeOvVd+963rkT96cXViVSgVp75Grt8UukkiyEBEigoQSyErB20SnYjHUa2VBva/DBgvQ/IEgK+35cg2sefDhfcLp2+IHqoiFXOdcK/GB5MDauIYF6CGSlj1GGaC4XkRXu32YReVtE/jNMTyle9bhAsvu0te1S/zPhRafBvvPJ5aGF1/pMXy3P1LEHLxQ9V5KAFQSyErAwHcrzOmpkQdw+bARP2Lq8m+cGp7uG763uHXa6GtA0QfVq+pMad+331fadbXmvPetHAoUikJU+7iEiy0Skh+clK/1ChLGcPXgpuFItQVKth9+1a5dq/vN8J7j7+fTFobvHeStnaMHuylp7/KKUyW1IgAQ6W3h7AAAgAElEQVTyRSArAQvRqlyvYoCXL/8NrE21Xrqg3r3AAqOtSPP6wKnBvAlqxTX91dlDbnCuE84YPEotveZQez/oHg07tyKBVAhkqY8ni8hi922aw1xVvEhE8OdPDPASOP1Rgp5ae9W81Roz9VWn0b7mkQUKwV5YivtdvbCy9brUxUofiFMSIIFMCGQpYH6RKsIyA7xM3LT2g+KD30F/tZcWaY8o1weRCjJstOHhh9Wi4z6vrjn1ItX7sgdVvyvuV78b9hXVNro/gzsDL2aRQBIErNJHipfZJXSgo9886Z/qTw3E6VX71exlTnB32X0vVQ3uUMsbB52qbjzzlM5/g041G8FcEiABEvARsErAGhAh2qKRLUtb1Bfu/4IacOcAZ4plq9LV/2gO8JCfUkrrsQYEdy2fPkl9/sLbnGuEs751g5r9qc8o5DORAAmkR8AqfbRFvJI83aa7cv4AT39qoN5etfueX+k03BfePUfhBStRUr3HilI2tyEBEigHAasEjAFeJKdFMHfkb49U/e/s3/6HZauCvKDeO+SnlNJ4MRnept107nDV4/I/q8Mu+YO6/bgz1YJP9FELP9FHLT7u+JQsYbEkQAIgYJU+MsDr7NRBd+W8QZ7uwaunV23y/DXOq42/eccz6oMdOztXICAnTm9hQJHMJgESKBkBqwSMAV4k70XPnTe40/PItyZVewYvBUODrhX09UGth/R+sPy7Z12lnu3/SSewQ3Dn/PU5pNYiuT0JkEANBKzSRwZ4nc980F05HeD1uXKSQi8fUq29ak8sWad6DZ2o/vPWJ9TmD3Z0PniVnDjP+1UpmqtJgARKQMAqAWOAF8ljMSxTB3XeKfKtSRm8KdM02sd7fRCVrf+D5fd++b8qAzv24EVFye1IIBYBq/SRAV5nXwi6K4cAr+fgVmdoJbZB415Lr9oLr69Xh1w1SZ04ZpZ6b8u2zgdmDgmQAAmkTMAqAWOAF8lbCtGDl8RbLpMoIxLRjo1wHYDrAdwY1tcFHWurz2FEj/+D5c4LVgYeVhHkLRp4GJ/Bq46TW5BALAJW6SMDvM6+YLord/CQVnXw0N3Bnb8nL0qv2l/WbFKHXj1FffZnM9XajVs7H5Q5JEACJNAAAlYJGAO8SB6T+2fwMuh9iwQuxY3Wbtqqvve7Oc4N4y/eNEvNW/VexdEQ5OGZu4V9DnGmfMFKBR4ukEAqBKzSRwZ4Zh/x35U77CdTnIZYB3d6ijt21dLr72xx7tB96rppauW7W6ptzvUkQAIkkBoBqwSMAV5kP0GQl9u3aGbw/FxkcAlviM8hTXhupRrQPFn1GjZRjZu5hB8sT5gxiyOBeglYpY8M8KK5gfe5vBMuHqOGnz1IjTrzFGeKHjxv2vzCWrV65LNqVdPjat51T6n/uGaaGviTKerVtzZ5N+M8CZAACTScgFUCxgCv4f6TygGbu5g/cYB8i9KKdzars//vaedm8Rm3PaVee/t9i6yjKSRQfAJW6SMDvGgOiZ469NohuBs56MsV36Ibe85XnWfxUBKCuzeufMIJ7uY3PaaObZqo+jS1qKenLY12IG5FAiRAAikSsErAGOCl6CkNLNryHjx8Cum2x15Tn7hyouo/fLL63TMrVFvbrgYC5qFIgASiELBKHxngRTnlynmhCt6OhZ4708fGR591mvMh8lcvn+gEd682zVInNU1UvZpa1J+bZjo9etGOZN9W/uGuWGYiARLIhoBVAsYALxsnSvqoFj+DN//NDerUm2c7N4i/c9fzas0GPoOftPuwPBJIioBV+li2AC/KC1GCHAWBCYZlmgI8nbfyilnqtaZZ6qtNk1TPphZ1T9MMJ+DDcM0yJjBDYKyfWcS0ntdIl5EdbSaBNAhYJWAM8NJwkWzKzOANmGkaig+W3zBpkeo5pFUdce1U1TJvtcLzd0wkQAL5JWCVPpYpwKvlkwZB7hf03Tsd4C348SPqnKbJTkBzR9P09uAOz+RFTfPmzVNjxoxRzc3NzhTLRU16aKs3wMN8lJfTFNVm1psE8kzAKgFjgJdnV0u2bgUKAL0fLL/svpf4WaRkPYGlkUBqBKzSxzIFeEHBGfKjJlOQqIM79O599UfjneDuJk9wh2fy8GxelIRgbsSIEU5whwAPf1guapDnfTmNN8hDfhGT9wU6CNqjntci2so620nAKgFjgGenk/qtKsgQzo1bt6vBD7zsXAN8+qcz1OzF6/yWcJkESCDHBKzSxzIFeDcOOtU8vHLQqTW5m3eYp/Ps3ZmnOEM3T7/oeqdh/+73b1H6WbxagwDdc6eDOz1FfhGTTT143hfoYMgt/moJ3ot4/lhn+whYJWAM8OxzUJNFBXgJy5T5axQ+hdRjcIu6rnWh2rJth8kS5pEACeSYgFX6WKYAL4kePL9f6h69My5odoK7L190nbrJ81ZN//bVlnVAZ5pW2zeP6216Bk9/+kIHd3pay/DbPJ4j1qlcBKwSMAZ45XDeHH9GodoHy8txgmglCdhBwCp9zGuAh8AAvT8YyocpluMmHYzpIZWYej9xUG/519+1+yPoJ118o7rt4m+3fzKhnvJs68EDgzTOZT1s4+6jAzrTNG7Z3J8EGkXAKgFjgNcot8n2ODnsweMHy7N1CR6dBNIgYJU+5jHAi9XrU+VB7PbhlWeeom4/54tq8Y+/qVYPeVCtaprlfMqg1meq7p+zyum5u/DuOQrfuombJk24RzVfdVXFM3hYRj5TtgTYg6ecZ0H1TQhMi/psaLaelO3RrRIwBnjZOlOjjp6zZ/AqPlj+S36wvFFuwOOQQNoErNLHPAZ4dT+3FVUE3O1eu/wyteKKx9rfdImeGdMzVUEv1pg8f43zCuRv3vGM+mDHzkT8DsNIr//OuerqIYNV8/DhzhTLtbwIJpGKsJBOBMr+DJ5tLwDqdIJLkmGVgDHAK4nXKqWq3LxtBAjcxL19VvwPlud1VEte69WIc8tjkAAIWKWPeQzw6n7zYtRhHGP6qRnfO0X95X9bKoI7PfTO+0xV0EX99ElLVK+hE9V/3vqE2vxBcg9TJ/UiGP5U0yEQFOync7R8lap77vzPhyKfqTgErBIwBnjFcbyC19T7wfLz76z/g+WxRiilyDCv9UrRZBZNAp0IWKWPeQzw6u7Bi/gg9sJLD1I3nnm6wkfJdVDnn+qzbhqWN7lppurT1KJOHDMr8e/bpPEiGG0LpyQQh4A/sPMuxymX+zaWgAUCdpKIvCoir4nIYEOMd6yIbBSRl9y/4Z5tqu3r2XT3bB41srEeU+6j4YPlP03wg+V1X9+kfBryWq+UzWbxJFBBwAJ97NCwPIpX3XeSIvbg4dk7vGDlLz9+xBjgeXvw/IHfrKZHVf+mFnV0U6tau3Fr4i8QSetFMBUezAUSqIMAe/DqgJbDXQouYB8RkaUi0lNE9hSReSLSt0PRnDkEeC2+PCxG2bfTbnnUyBy6lZVVembpO+q4UY86z9kn9cHyukcopUw4r/VK2WwWTwIVBAquj5X6lVfxqmsseMRn8PRbNO877zK1/PIZFUHeiqbHKz5e7e3Be6bpMXV4U6vzN2fEU05w1+fKSU7jrz/ijWXUvd60es1D6tEZR6pp03uqiQ/1Vr+//kux3spZbz24Hwn4CfAZPD+RYi4XXMCOFpEpHhUbIiL486agAC/Kvt5ynPm8amQxvS+7Wm94+GG1+Ljj1cI+hzhTLAclfLB8yJ/S+WB5XnvK8lqvoHPEfBJIg0DB9bFSv6wTL/dB7F3NXdSa5oPUj4YM7vSZBe8wSAR56MnDcM2//G+reu3+Vyt8Rj+D92LTY06v3YCmVvX4sFlOEJh0g4jgbuaj/dT0GT3b/7CMfCYSyAMBBHm6Jw9TvkUzD2eltjoUXMC+LiLjPSp2roiM8yxjFgHeu27v3iQR6eeuj7KvLuoCl9Ocrl271gaYW+eOAIK5RQMPUws/0af9D8umIM/7wfIRLQsS/2B53SOUUqaaVL1alraoL9z/BTXgzgHOFMtMJFAUAgXXR61fu6fWBXjud9cOHtJa0bPWo6lFHfaTKc539c68fJwa/Y2vOMM0dW/ejYO+rGb85kGjD77x9JvquCGTnOfupl37RHsPX9JDGp544tPtgZ03yEM+EwmQAAkkQaDgAnaGIcC7pVLVZG8R+Qc372QRWeLOR9nXV5SIjRqZhB/VUkbWF/1Oz50nuNOBHvJ18n+w/KWV7+lViU/rGqGUeC06Fxi3XjjPR/72SNX/zv7tf1hmkNeZNXPySaDg+lipXzaK18Crd394XA+bNE1P/tFYNfY75yq8tRI9enj2zZTwhswvj3tC9Ro2UT25ZF3FJkn34E2fcZAxwEM+EwmQAAkkQaDgAlbPMMsVIvJxEalnXwZ4MZ0uDxf9GJapg7qKaZ9DlPPB8udXqkOvnuLo/LiZS9T2BL5pGxNbIXdHz503uNPzyGcigSIQKLg+2h3gIVAbfvYgNerMU5zpCRePqejJ8wZ7CNDCEt6e9Y07nna+dYdhG/6U1JAGXS578DQJTkmABNIiUHAB20NElolID89LVvQQTC1u+4nIh9yFT4nISnc5yr66jPapjTdB0/ItU7l5uOhHT93Mz5yj7viv+9S4C6Y7UyzPOukrjsbjuuAMfrDcdPpqysOwTB3UeafIZyKBIhAouD6265YzY5N4md5Aec9/N6kXL5+mXm+apZ5vekyd3zS5PeDDEMughA+afveu551t/zhnVdBmib5Fk8/gBWLmChIggYQIWCBgGHa52H2b5jBX0S4SEfwh/UBEFrjP4D0jIse4+ZiY9vWs7jxrk0Ym5EI1FRN80d+/pnLibPziL1vVL74zSY27cIbzd/OF09W3f9Cqeg1uUf2GT1a/fXqFamvbFecQ3Fcp55k7b2Cn59mDR/coCgEL9LFDxGwSL+/LU/BsnektmYubZrUHeUE9eGjofzzhJSe4+/mkP6vdPWsHOdO0X3iC8ht5vKL86FhPEiCBZAhYJWAdUpbanE0amYwH1VaKvwfvtOs+pa7+1hfVqDNPVrd/58zAxyNqO0rw1hgi+rNL/tQe3A3/3jT17/+7+xn9E5smqzUbtgbvzDU1EcjDcNyaKsyNScBHwCp9tEm88Dxd+0tTQr5zh568oM8ZYDz+1Q/Pd4K7ax/8M99q6XN+LpIACRSbgFUCllpY11GwTRqZhec6F/2/6ecM3UNwd8NZX6rQ6bHnfDW1IE8HHLdcOF2NvXC6GnTJZNXjihZ1yOUt6oc/mKqQz5QsATBHUM+3aCbLlaU1hoBV+lhY8XI/h6CauyiFD5zPm+C8LMUb4OHTB/4PlWMZwzXx/Jwp3TTtVSe4u+Leh9W06b2MLz3hWy1N5JhHAiRQBAJWCVhHHJbaXGE1MkfO2PKzf1VfuKOP03Pn1Wg9j9E3aSTde/jDSx5Qh122u9fulEsnqVEXTXd69O4c8kQah2WZJEACBSVglT4WUrwCPmi+8Pcj1cj/v70vAY+jutI9M8nLN+/lDQwTMmRmMgyWvMiWjYkXFgNhB9uADcR4wTbYxrGNiTHBkluyJbW8yPtumcUYb6y2WbxosTbLIiTBiYGYsASTsCUhk8y8gTcv5M28GTjvO1d9W7eqq7qrWy11Vemv7+vvVt1a+t6/7u2//3vuPWfC2PjooMS3cxJ4Erzcadv50ntK3M3dc5ibjw10FHft4Qvg1dIJP+QBASDgfwRCRWBdJus6HhxIjsxhM5S18A9Pn8Drbh/N1bdcz8dGXsef3tOfOXoGrxs/Os7PWtypdMJNXVLigY8N494ryxSvDyqu4aJ7G+NTNR+e18rvvJzoPK1LCoKHAgEgEAgEQsWPgSQvsdhFz0j4fLaqH183d0Pci+aeu8v4lwtbLSLvN2UdcezM1iaOVMST1qy9P+W2Fy9PIu7y+Hjdheat2AcCQAAIBAaBUBFYhw7rsr1AcqStNdqnzS378bIumUYn4m7jpI5BVhFvG8aN4uZLL+JPZ3yTH7njGkeB1xUWPPF8nVf2DP9j5DD3Xh3hm9fM4JXzDqhpmbImD+LO1khwCASAAIeKH4NEXjoI5+cVieJOBN/n0TOVSDNDIYjXTFlz91HkRRbL3R9f/X1CE1ZEUFqr3CVLaAT3eHR53NJYwG9sXJXwDGQAASAABIKAQKgIrMtkXceDg8SRTu1Pr0PTHg2d0mwFo7Y7OtNWOrHknb70In6r9ELeNGGkReRlew3eH/7t33nuE6+o/wIjVtfw4EfGWFz3Z6uuTlgjDwgAgWAjECp+DAp5mTHnfl2el2C9E4En+SLuxm+M8jM1Q7mpOU+lcuy2SfDyPovqVDBzCWoum1s8uqamfK7eOpXXRlfyqVOn3B6JfCAABICAbxEIFYF16LAu2wsKR7o1OL0OzUnYmXlyXWc3u6MzLfBkuqYEG5dNrHxKCE64SaVNj26zHMv5TDa3gOV266UcYwMCQAAIOCEQKn4MCnlJSANtmZtXWsKfVZxtEXlyfF9piRJ3tY39LFMs6xoL+GTrigQSee2jT7h/eT1fv6GNP/nsP+Lv2ikeXUNjH96z9wauqR2khGNt7SA+cWJL/B7sAAEgAASCgECoCKzLZF3Hg4PCkW5tzy0OnSnuZD8bwaiTWvCuujqhiCLmxIIXF4Ljb1TH6Yq8D//lMwQsT0AXGUAACKSLQKj40e/kpUf71o6/Ua2tu3buBiX0ROSJxe7zijNVKsciAMVy1+4IJc+S1h3qZyGRsmkzeGBZDV+++hj//n8nxsEx49HV1Z6vxJ2IPPPZcvzkilEso5ZCbCYpmfeLRVCOsQEBIAAEco1AqAisQ4d12Z7fOTJVe+qMBU8vizgvUsMyyOrmfVqXQTjQcQ3eZZfwp4cP68viqZsglHwv23/+1+e8ve1X3K+sLqOA5enWz0uZcA0QAALBRSBU/Og38jJ/cMcXV/P6O261CLM1E27il+67gGUdngi83Ytviwm99mOZlmmKML0v+XqUsPyOiTxgwT4uLD7AH/2vz1K2xGg0qix3+llmWnewb/y5ei2BkwXwWGthWiJP1grKmkHxAuq2djBlwXEBEAACQMCGQKgIrMtkXceD/caRtteZ8jDTNXjCxRIvVs+ckdQtfqxZCBF5CV40HcSd3OM6pdODV803f/u/+eatP1Dlu3v3T/jjT/9kFiPlfib1M/+feBG8KQuBC4AAEPAVAqHiRz+Rl/0Ht2LShLh40uJMUvHEpb1ofmFzuPKD2vMcBZ4WYksm3c6DHniS+xU9y6VTpnpqWBs2bFDTMk1hp/dN4ajKNnea6xo+r/HzRNyJt08zxIOb909PFcBFQAAIAIEYAqEisA4d1mV7fuLITBuxfR2aFy+a5rIIU+RJfrY2Nwvetu+MUmv2Tl91dYLlTxyhrTn6NueX1vLQZY185NRvWdbfpbulWz/7/xOvgjfdcuF6IAAEcodAqPjRT+Rl/8GVaZmmsOvYHx0XeFro6fTj6rP5WJPVitfY0Jt3lF7GyyfexkO+v4d7Fz/PRVOmq2mVXpqROFSRNXda1JmpFo7xsk24KYkXTm/x87TlzhR42pLnpby4BggAASDghkCoCKzLZF3Hg/3EkW7vtCvyZVqmiJiO5RDts2RkrXu2NrH22dfgSViFpouG8Vv9CtTnjfMHxUXey7/6F75qbasq14L9P+N//WPH2vl0y6TrZ4pX2Zd8p83+/0Tfl03B6/S9yAMCQKD7EAgVP/qJvOw/uF4seFrYmenH1V+PWdHyVSoOVtZMHc8Xzn+Mey08xPPvnJX2Qm5xqNLY1Nci8hqP5ivhGBd3Yl3MggXPLuzM4+5r5vgmIAAEwohAqAisQ4d12Z6fOLI726MIFyeHZn+Kfp351D5LUTozdVFEnrLkTbiJq28baRF3WuT96MoreNHzrythd9nqFn7x9B8s328emM+T58qx05auYLP/P9ECz00QOn0n8oAAEPA3AqHiRz+RlyaUducpZ6i1drLmzhRQEkPnrfvz4xY82W8PnjpapeqcBEI3tn//z//isWvq+LyFh/me6d9LcIhiXJp013Sc0toyjHeVX2kt25TbFJl0dg0eLHhJXwNOAgEg0AkEQkVgXSbrOh7sJ47sxGtP+1YRbb+pcA5JxBsKlcMVLZLs4sdtrV4q8fVmzGqnhZ2kO6+4jYfc9wT3KqnhZUfe5M/+oz2ckVOF5Pl2i6BeG2+/Pt0pl7quWtjpVPKxAQEgEA4EQsWPfiKvnxx6mP9kC3/w2vx+vOqOW1ima7ZP2ewQciLmVs+czJWlJRytqFCpHB/ZVBZvaeJla9ben6qRv2dP/jqen42dZGRlisF0vWhiDV423g6eAQSAgBMCoSKwDh3WZXt+4kin99mVeV9Ez4wPppqzZCTf7oBFCx6d2oWPF/HVNrx9WqYIux+eP4ynTl7ebrWbu51/9tEnKavqtqZP8p22dCyP6QpCp+9DHhAAAv5GIFT86CvyEstb9IyEj3jNXDlhrNVaNmEkr5s1maPlZSxeLuMfOZ71XTW6+PnnX7DM0xfC2fnSe/5uVbbSwYumDRAcAgEgkBUEQkVgXSbrOh7sK47MSgtI4yEunPy7aL7iVS3mnFL71EUv4qtk8Qh+pbCAN103lQu/v5/ziw5y6dh7eeGiyzwVujNeOb18QTqC0MvzcA0QAAL+QiBU/Ogr8nIZLWyfgpnocEVZ7kxxF9uX/EtWNPOSw28qEtrY9I6/WhBKAwSAABDIEQKhIrAOHdZle77iyO5uM7LWbvk51kHX5eewOFrRoi6/ahkP2H4ZF+4aqFI5lnODKxsspfUivna/VsNDI5vU/aPv3sJPX3E5z4sMZvEC6mXzIiK9PAfXAAEg0DMRCBU/+oq8XEYL140fbbHe6TV5Mi0zbrkzhF5FRUWcfCoPv5GRC+We2bRRayAABMKOQKgIrMtkXceDfcWRuWicIvIUN5/Znp7ap4Kei4gTMVe481s8cPfA+EeOJb/3olpLYHRTfO2fXsS/eOAIf7Swjd8pruNPT/5TPGB5v7IaHr7tAR6463yWIO1exZ1A42UaaC4gxHcCASAQDARCxY+5Ii/HqQ4uo4Vbp41zFHhLFi9yFHi3lj6oBJ5Mz5RpmvZNwh5IbDsRh5LKMTYgAASAQE9AIFQE1qHDumwvVxzp57ao16OJ5c4Ud3pf8q+du4GXTJ6ogpmLuGt6dJtygCLi7v3ilnic19ZIK99Q0h5QPZOA5Xackq2Nt1+LYyAABICAiUAu+XEkEb1DRL8kohIHRptMRK/HPj8iosEO11iyckFemhz0FA9J4163YqOFf1w8hj8ufYF/HWnjDyvb+NnvlsZFnhr9W1DDx0r38dKKJRaRN2nxFiXubt7yAxYHK/ZNxNzy5cst98gxRJ4dKRwDASAQRgRySWAW8gnIQS44Mtft7tPDh1mCjL9V0F+lcmzfhMcH7uqw3GlxJ+lNyy9MWDevZ978YsERJe5+GWnjskgj50Vq+IJILe9d0uZ5to2X8tnL6+djxwFvPxcYZQMCIUUgV/z4JSL6FRHlEdFXiOgUEQ2wceQIIjorljeKiE7Yzicc5oK8nNwNm6N9h+9byh8taouP8EkcODmW/P0zivn9hcboX+k+XlOxkiuiUZ60eCv/Y+QIX7fhOO//6UdqGoks9Jbvkx9Q2bTlzj61U/KxAQEgAATCjkCuCCyBfAKSkQuOzFUbFOvXw9Mn8LrbR3P1LdfHY9K9PfiCeLBxs2wyhdIUdnq/8s5R8QFZLex0KtMyayLH+PJInRqMvSfSwG9Ejiu+N5/tti/irn70jby6qEh5z5ZUjp1EqNsz/JSfdMDbTwVFWYBAD0AgV/x4CRE1GJxYSkTycdtE6P3W7aTOzwV52WPmiLgzvWTK3HwzuLfel/hwbjHiDlW0cZ9FdTy2+iV+5sSHcRfO4zdG+ZmaodzUnMeNrZdwdfVUi/XOFHo9oO2iikAACPRwBHJFYJpzgpbmgiOz3URlHZuIsUG7B7mua3Nav7Zh3Ki4yBOLnn2T5w57fJhF5MkavPaQRomO0aom3Mpzi44oYXdxpJafjxyLc71wu5etYfwEXrp4sYXH5Vjyg7g5DXjLrCZ7mIkg1A3ev4PwllDGZAjkih/HEdEOgxynElG1cWzfLbJdb56fFavEyXPPPTdZXbvknP5Bm1dawhLUvHri9ZbRPhnh06LOS9oQaeWCSA1fU9XCn3z2H/EF4CLuahv7cXNLXvzT2NRXiTwRejW1g5Twk3TnztldUlc8FAgAASDgJwRyRWAmAQVpP+gCz0mEiSizOy8xnaBoa5ukYslTgccL+js2Yy0eB+4exIN2XM69q5a1r70bbxV4c6fdywMWPMPnLTzCxQuP8ulIB8//puwlFnHgZVuxsNgi7vQgrVjygrjZB7xNr6TpOpnJZf0RvzeX6OO7s4VArvjxdptgE4G31YUoryKit4noay7n49m5IC+ZkvBE+Xf484ozWIKV271kpmPBa4u08qBILV8SqeVTVT9S71j/YIrlzhR3el+sefLRx+1pf5bg5NiAABAAAmFGIFcEFiedgO3kgiOz2f7cplFe92hB3CumfJ9TGAPT2+WH8w+5ijC75abx4d28alL7NM2lE8fxNfe2hz4Y8v09XDRlOstz3y5qn6kjlrtU4k6vuWu6eJialqlFnSWtqMgmbN32LD3g7eaV1EmMd1vh0vgit9lVXi2zaXyVry+FEz9fv56UhcsVP3qdonl+bK1eXy88mhPyOrWPv4gFNHeKcWf3siVWvHcjbTwzcpTvK2vmj2Ijfycix3lopJaHRGr5ZWMOv/7BTBRxdlFnPX7pJW/BVFO2EFwABIAAEPApArkiMC985MdrcsKRWWw7Mi1Tr40z00G7Ctvj20mcu1P72G7Bc+JhJ0ubk+Xm3ZJmrqyYzbPums99i57lXgsP8YTvlvPq8Ter2Toy9XNM1UWeainiTtYAihVRrIlu8W/XVVV5ep7fLqEcfz8AACAASURBVDLX4Ll5JRWR7vct2Wwrv5c9W+WDE79sIZm75+SKH79MRO8RUS/DyUqhjRDPjXnYFGcrnrackJcR785uvZMpITtKL+OGQ4Xc3JzHx2uG8w83ruS7I0fVvH0Z5fp55Di/FjmurHYDIzUsVjz5cdEjRfoH082CZ7XcmSIvP3etCt8MBIAAEOgGBHJFYJ4IyYcX5YQjs9gOklrwYgOtEufOvgYv2UwaXTyZnvla+eGEJRUy4HpzyWHF2SNnbuG9V41U4kyct2y95XpecM8wtRZQPydZqrx59itQAk/uXzFzKkfLy6zTNMvLAu0JW/6zyMC0BIs3RbjeF5Hu9w0WPDjx83sb9VK+XPLjaCI6HbPQLY5x4Rwiko9sskbvEyL6WexzMpbvmnQ3eckP2efRM9tHDqNnsGnBkxHDV9ZFuaWxwDJ9UtbRyXo6EXfyWby+ii9d8hj3XfQcb3/2GiUEW2uG8/s/3ht/f/I9y5+c7jAV0xR01n1Y8OLwYQcIAIGQIpBLAnMlIh+f6G6OzHazs6/Bu7nqQl5yp6x7H634V5ZJsHByLFD4+vGjlZXNfS18m7pWP/dDYy3dB5E2Xhtp4n6RGu4fqeG+G+/mWcUDuG14Ab/Rr0Cls4v7K8cscr+XTUI1qDWA/Qp4T/HFXHewb/va+ZqBXL11qrLobfz+XC+P8v01rmI8ABY8J0uuk8XX9y+hEwW0TBmORi2DEJ14LG7tRgRCxY/dSV7asiaOVd4pvpF33/M0b5q2ldeNH6Pm5EvwU7HYOVnYxBon4u4765fwFVXbOL/kIG/ZP9Jy7bHWwvg6OllPJ8dOz3LOy4/f241tCV8FBIAAEOhWBEJFYN0gDLuTI700BL0eLVmMOvtzREyJeBiz/EJePdEawmDThJH80vwLeHBlA8v6de0B082C9+H97THxtBg5uVji1b7IErB8ZCz0wR2Ro9yw6AWLNUqsU+rz6GVc2dIxGGsvq/1YW/BOTu7DTfXWQdnGo/m8q/xKZX203xfEYy2ateVO0qCswRO87WsxU62tDOI7SlZmhOFKhk4wzoWKH7uTvPTauEUPbOKHZtdy9ewW9dk0rZp/saBGkYRMy3QSYLKeTgTeNSs3c6+SQ7zm6bGO12krnKROz3HOy+e33i4PRutDKYEAEAACnUAgVATWwwSeuR5NW7XcYtQ5NZFHZo63eKzW3jJX3XGL4lfh2IpJE9Q1TmvwPlrQxKevuVM9Wq/tu2fTDC6N1KuA5YMjtbw70sKnI038vc3T4gJPQieId0h5vnzkv4DXTde5db/zf4PWlmFeHxWI67QYTxbSIhAV6YGFxBq84L/0UPFjdwo87d2yak5TXNxpkaeng7hZ8I429ubRa9Yoclj6+ISk4s3ZS2YHORxvG8rHjw/h5pZ8FiEI75nB75SoARAAAt4QCBWB9TCBp61ZWtzp1ClGnVNrsHvKFBEnljrh359Gjqu17mZcWvP8e/MP8umr72T9Xcoi+NhIHrbkMcXLd6xfxj9cv1atyXvp6FFlMRSLnTgOMcWdCDz5L5DOJiLPbfBXeBwbEPALAvCi6Zc3kVk5QsWP3SnwtAVv6+zmBIH3y+L2mDhvbFyVsAavsTmf79hcpkgksnN6UnHnbKEzxN3xIZm9ddwFBIAAEAgBAqEisB4m8Mz1aFrcqdQlRp14xxQHKmqN3YZCNi14ThY6iU0nDs1E5K0YfyuLUxPxXNl00TC1Dk5bC//t//4/nvLoTsXJQ6N7eNO+0YqX65ryuO5UNN5LNOdry51O07Hg6Ye5zcrRs3b0dUiBABAAApkiECp+7E6Bp9fg2S14L3zvGH9gBDcXkacsebF4dTO3LVBEMu+RexWJpBv+wBR9LU19WZ4vHp962vzwTBs87gMCQCA8CISKwHqYwEvLgifiTkIgaE+Z0TP4zfvzWdbcydRMtzV2YsnT0yid1vs1vflPfFFVM58XOczfffABrm2wOkV7sXVEvLNoztfCTtKCsnqW/HQ3mWnTdKyfZYBXjjEDJ10kcT0QAAJuCISKH7tT4Amg8sN+w/31vNGw4r1T1G69M+OoiAgTITd/+z2KbGZsK4p7xJT8mtpB6rixKV+l6Yg+EY/yXUH38ISpAG5dFPlAAAi4IRAqAuthAk+vRzOtd9qqJtwqljGZ/ijpZ6v6WcSdFnriNVO8V+tlESbvyr54xXQSYX/4t3/nuU++ovj46rVHePvzV1rEVnwgtTnPMnhqL1cm4k7asqxNm/nsIN7f0M75ksqx5GMDAkAACGQDgVDxY7YFXqofczkvo3gi8sSSJ9M1j5Xu47XlKzlaEVVpa+k+bq4ZwqW7pqlrJ20uZ5mmqQlExFxdfYESdiL0xFWyuE7W51OmzXnxuD06dl42GkZ3PgOLebsTbXwXEAgPAiEgsJFE9E4s5muJg8abTESvxz4/IqLBxjUfENHPvYYRkvuyzZGdbUlOVjXhVRFlpqXs84qOcERa3On04+qz+VjN0HisWRlQ1UJPLHubZk6Ne6b84osv+MDJX/P5lQ3cZ1Edb205zcdf/LYr3wonr42uzHpcOu210/QwKfuSjw0IAAEgkA0EQsCPHXSXTfJyIhn7SKB9Tv6Vpbt5acUSS7wQOV66d4Iiq1vWV3FDU29XMhEx19DYh5/eNIQbG5Jfp4WftuBpQstGo+juZ8Adb3cjju8DAuFAIOAE9qVYHNg8IvoKEZ0iogEdjKb2RhDRWbG8UUR0wjgvAu9s4zjlbjY5MtstSIKTPzJ3mgptIN4vZe3cvNISllBEX1Sc4WjBU+KusZeFUyX2rIg8CVUka/NkCuemKbfxsaPNPGXHy4qLxz30Q3739/9HWczcZsyYg6+1tYP4xIktjlWWaZXta+q8OzrTXjvtAi8IQcAdQUAmEAACvkMg4Pxo5bNskpddvOnRxLyS2vice+1JU59bUF5lEXcSKHJ62UbuFTnEN6xez/WN3ixzdYf68cnWFdzcMjg+lVMLOjPVRKbFXRAteEKOeoqqsmBWT7Vg6LsegwIBASDgGwQCTmCXEFGDwWKlRCQft02E3m+Nk4EXeHqWzHVzN/CqCWMtYQ/WTLiJX5vvPDVTW+8a686ziDvNj61HhsbF3ZrxN/HkmaXce+FBLqw4ynt//AF//vkXStxJXDaZHqnvM1O78JPB1ydXjGLx3ilCVASp8Jc9Rq0Zw9ato9gteBKGQWLwfRRps6ypR5gBNwSRDwSAQCoEAs6PBtVlefqJXbxpESepnBu/Mcr7aoYqASaBy+W4oiJqESezytZxr8hhvmL5g3ykob8jiZiEYu7rxdbm6KAZEkEsd+ZUlCCuwXMiRyHR6pjIE8seNiAABICAGwIBJ7BxRLTDYLGpRFRtHNt3i2zXv09ErxLRK0Q0y36xcSznTsrn3HPPdYOy2/PNWTI6Xp2OZadTWV+nxZw9rVnzDdcBUBFn8oySyVN5+P3toQ+umFfNv/3kT/F6apF15/5+LB4zTf61izt9TpZP6LKJVVDi1ulzZprKG6YINxGXYsETcfduSVN8WqkM2AqfS3gGfY229AUpUHgcaOwAASCQEwQCzo8GhWVZ4LlZ8ETgiZirbbR5wIp5ydRWqLnlazg/coiHLn6SX6gf6EgCJiHY91ONAorXTLHYCRkE1Yumm6towXD58uVZX/eQkx6GLwUCQKDLEAg4gd1uE2wi8LZaWS1+dBURvU1EX4vnEP1dbP9vYtM7v22cc9zN5iyXzr5U4Vg9BXPd+NFx4aQFVHs6mq97tIAH7SrkqUuH8aYp17JcK8JPjt2sb4eeH8Dfmb2Eey08xAVFB3jW9Pv44bnTLEU2p0mKyNMOT2Q6ppvA08JRl9HtOi/x7LR1Tix3ehaOmb5WfjgeXF0LPEmxTs/yGnEABICACwIB50crh2WTvMzRRdN6V/FAI7fWDE8q2Ha9cCkPWLyPh1Xu5gM1FyS91i7szONUo4Au7zQw2UKCZn31vpCmOF7RGzxsaiSQAgEgYCIQcALzOkXz/Nhavb5WxrMcVRKRWPiSbtnkSPM9ZLJ/X2kJf1ZxtrLQiWDToslM144fzZV33sAzFlzOqyaO4hUzp3JlaQlHKyq4clEJVzz47QTr25Z91/KQyB611u6Guet42cTbePWk0XFHK7qs2oJniifZn/ToJBaRp/nITE0LnpTTzSFa67FLeHfpSypGrqTvvPw7/bUJqSnqzH3xAGovmxxjnV4ChMgAAkDAAYGA86OVy7JNXiLyZM2dFngi7t5f2Ka8dZk/+ub+00eG8eCKJ/j8iif56SPJhaC+L9kooDlFUwSfnrrp8C5zlpVpGd0seKawhYfNnL1WfDEQ8D0CASewLxPRe0TUy3CyUmhlNTo35mFTnK2Y21eJ6C9jGbIvHjbFI2fSLdsc2ZkG8sSavhbr3PqJ7THtTIGn90XoibiLlpdZlkHI8f17Rijr2+GjA3jilhLF171LHufvzpzJWiCOqboooajmNEktpPQUSHGo0thkXTPfeDSfd5ReZhGiD1ZemrAGr6WlPz+xaoUSd9WzW1T68LxWV5GnZ+KY4k72X19U7yjwYMFLeJXIAAJAwAGBgPOjlcuyRV7am5csphYXy6Pv26RI4+3i9hh3KnB5i3XOvoi1Z+suUFa7/ov38e6DlzqOAGpR5yWVNXeZLOB2eM9dluW0ji7V9FJdGC/3wsOmRgspEAACdgRCQGCjieh0zEK3OMZoc4hIPrLJGr1PYqEQfmbUVzxvitdN+bxJRPre2G3OSbY4Ur0HCT6+oZA5emZ7KsfGpqcgisXp0iev5mEbV8fj2s04XMIDdxVaBMwtyy/kyjuvV6JMCzszVZa7qHWduzgyK1paxAVbb+fzFj/J/xg5zL1XR7hw57csz3YTRWYZ5Ro51ps5cPl8XW/evniERdyJRVGEo3mdDE7u27TGIu60yBNLntMmyy0+WvQDyzRNGUg+OP8Y375+pqUeWoA6PQd5QAAIAAETAYMvnAkhSLnZIC8Rd7J42iSWlRPGKpfNOpiqODdpbupjEXAHjw7kEcu2c99Fz/H2566ynPMi5uxWPBFJx48PcXyOaeEyX2Yu9r1Y4ZKVy06OcmxuQuBuH/M67AMBINDzEAgVgXUD2WaDI1UrEzG3/ByrAxQ5jok8J+uYiK78qmV8w4L71LRLbV27uepC5WhE1qLJtESJXafDG0gqx8K9ElvWzgULK5bxFaXt0zELFz7KO6++jt/sV8Btwwt4dnF/JY7GbBvDVWvaPVzLgKE5/d9rjxHxJ+WU6aJmuZ2EoxZ0Tqnb99VHXuR3itpUPSV94XvHlEh8qLhJrbkTkWwXoG7PQj4QAAJAQBAIFT9mg7zE/bEp7vT+skkT+RdFzWqUrXnXJMsi7JqGAr5qxVbOLznIW/aPdBRlqURey7HBCbF03NaoeVnA3V3Nu6vLCAted71JfA8QCB4CoSKwIAk8ZblziE0n+cx86VOXWixPMgVSBNdzVwznDeNGWTh23/SF/H7xcasFq7iFW+ZsVLHs9NTFteUr4wJPPFZPLtvCfSIHlafqifOf57q5o7h1f55aQiHpj+/sw4vKbuMlS62xaTNx4OUkWN2saXrtnV3guVnwBC/7teZx8HolSgwEgIAfEAgVP2ZD4Mm0TC3q7KkQzhsbVlnEXX1TXx61Zh2fFznMa566JSNx5zalsbPWse5oYF1dRqzB6463iO8AAsFEIFQEFiSBJ9Myow4CL3qmmuao17TpVMTdq4UFXH3L9Qn8KhY6LeLM9MOFVtHXWrqPl1Ys4QfKq/iSUpmOWcPDS57hRfc/w3uWV3Fjg9WzdXPMs/XRhj6Ks2WWTGNTPu/ZewNnEoIn2XROs/eIQxVZc2eKtGRr8OTeTESh+Z3YBwJAAAjYEQgVP3ZW4H16+DBvu815obdMFXm/uIWb6wvjIq6hqTffun65IpoleyfG81NZ68zzIpDs0xL1S5L8MK/B0/VMlcKLZiqEcB4I9EwEQkVgQRJ4SSx4MpVQCzudypTJt/oV8LrbreEQxGmJWtPenKdSM7arXhKhRd8HkTYuKXmO82WdXeQQT130MK+d/5QSUvWHnePRmVyr90Xoicjryk1EnhZtkibzoinlyEQUdmX58WwgAASCj0Co+LEzAk/E3VuFA3nnyKsSSEgseTLKKCOIeq1cY3M+37G5TIm7yM7pGYk7N2FnNiu5pt1Klq9S+z1+ED+pymjWB/tAAAgAgWwhECoCC5LAS7IGz4wvpwXeG/2sAk8GTF9ZF+WWxgILd8qxFnkfLGxVlj053rvvRr6yapvi2zFrV/Fzz12jZtNoK5nmZS3iUqVNzfmdaoJerXnpfEm6ojCdZ+NaIAAEeh4CoeLHzgi801dd7TjCKOKuuWoON9cMiU/zEDKZ+eACRTbzHrnXQlCpiKX9fD6/9XZ5p1sbpi92GkI8AAgAgQAjECoCC5LAkzYjIs/Bi2YqC56eDePmjVryPyxq4rcnVvKra6v43ofmc17JIR5Y9jSvePI78UHWloYCNTVTpmemK/CEhzPd0lmPl+l34D4gAASAQGcRCBU/pi3wDIJqumhY+/oA2xSSl1Yt4Oam3hYRN3/7PUrczdhW5JlYhIDkc6y13a1yZ1+c3A8HJNlAEc8AAkAgqAiEisCCJvBcGo2TAJq9oDC+Bk+vuZM1co4DopLfnMcP77yWL658THHtpE3lfLB+YML1mlcdn+MQyqjjuj4upU+d7SRgxVIp+diAABAAAn5BIFT8mJbAM6aYvHV/Pm+0efYSy93BJeO5uclKQqW7prUTzuZylmmaHYRhvc6eL0QkFrdsbnaX0eZxNr8HzwICQAAI+BGBUBFYCASeLHWQ2TBvFhTw8WEDeHZRfx6w/TIesOPCdi+aVw5ToQBkXZ2bBe9IwwCeVh1RPDs0uoc37RvtmWftvOt23JkZNE5TUEXgST42IAAEgIBfEAgVP6Yl8GKLxGvWfIOX3Xk9r5g5lVUg1YoKrt40ietr+yZY55Y+PkGRzth1K1gcrLiRh1O+rKPL9gYLXrYRxfOAABAIEgKhIrCACzwRd28PvkAtdRCHKvJ5dcAgvuuOJVy4a2Dc8UpL6TMsIQ+qt07lhsa+Fh5d9/QYvqDiCeWVeua2BSwhiJz41FNezBLY3NCfm2UwVlkMe3d6eUQuLHh+WGsfpN8FlBUIAIGeHAdP3Dmv+QYP2zmAV8ycwtHyMhVjp7paSMcaxFzIZO3TY7lXySG+YfV6rreRUiqycQuD0NkGeOTIkXhcINN6J/l+30BYfn9DKB8Q8D8CEHjpqcK0BkFTvP4XXv0Nj1jZwudFaviCJQ3c9q1LLOJOi7wTF3xLWfHEyjVy60gV6kDzlfCthC54vu58HrdxiRpAHbFsO29/7qrMhZ0xNVOshNoLp6QfrzyRolapTztNQXWLiZf6acmvEAdmsqxDZgDV1A5iwUuwyySWX/JvwlkgAATChkCo+DEt8tpQyJfu6M+3rL2LKxctigsl+RG1C7bqAzdwfukLfGVVNR+R0UCDQFLuN/d2DYPQ2cYUVAsenMN09s3jfiAABASBUBFYeloto6vT4sgkTUzEXUFZvRJkEo9OPtpTpgi7k5P7cPNz/ZUwkRAGO1aU89g1M7hoaVGca0WoSMDyyr0TeUDZPs4vOcjzH53DR5sSB1hNnhWxYx4n3W/Oswg8EXnZ2LrCi6a9XO3iriMsk9RTBp+1yMsklp/9O3AMBIBAeBEIFT+mQ16b93+fb1lzJ2+e08DRiqgiHfnhtJPHo89fyX0XPcuXLN3uuMg7Kbk09uMdW+9Wz5YfY6zBa+9IQRWm4f0ZQM2AQDARCBWBZSTZ0rspHY5M1iLEciei7tq5G7hi0gReO/5G3nLrSH755ln881VlCeEPhFftVigzYPk1Kzfz3kOXpCXcknJvbBC2Kyx4yXDJ5rn28EiJYlYGobUFNJvfh2cBASAQLgRCxY/pkNegHZfzynkHVJDU5WUr1KiYfWrm3kMj1Mji0MrdfKD2Au/kI+TSnMcPbr0r/kPsZVpFutMWV61aZXm+/tH3+8ieLqdTGq7uhdoAASDQlQiEisDS02oZXZ0OR7q9N7FeieOUBXOG8QbDOVl7+INmV+cpWpA1NOVz8Y67uU/pc2rwdNGuO9NyWKaf09zSbunT4tE+OGvG1BPL3W/KXuI/vvp7t2p1aX4msWKbW5yduEk9hTs1z6f7v6FLK4qHAwEg4BsEQsWP6ZCXLPreOrtZCbwnFj2i5rd3EEceP31kGA+ueILPL3+SnzpyYXririWPj9b3T0t8pTttUa5fsmRJwncsXbo065bCbLdWWPCyjSieBwR6JgKhIrCMJFt6N6XDkU4tSsTdvMhgfnlwQXtYofE3sniclk/K8Actebz74KVqqYNY/25eu4r31w5Jm1s7eDpfLX+QNe4dee0Wr+NtQ/n9H+9Va+702rtcijt7Gb2sy09mwdNr8NL93+D0TpEHBIBAOBEIFT96Ja+3XjzGK++4VZHS/unFaoqmOfr3bN0FPLxyF/dfvE8Rkp08Uh43dcyT92qlSlf0uF0vVj2/byAlv78hlA8IBAOBUBFYeloto6u9cqTj2z+1j0sW9OeGK6bwo3ftjws7LfA+Wtim1rs5hT8Qx2T3PvK9eMDyqifGJSyHSMmrtrXvzzX25cbjQxPEnTynK7xWO2LiIdNNqKUqo9savJ07Z8cHcd3+B0g+NiAABHo2AqHiRy/kJeJu3YSbYuKuiJeUR5XAE09eQgwHjw7kS5c9wn0XPZeeJ6/Ywm/50ZYf5nR/eJ2EoM5zaqL6nFPqdL3f8kTkaYwklWNsQAAIAIF0EAgVgWUk2dK7yQtHOuIfixt78Pop/ODMOl4/uTRB4L274KgSeM37rrOIt4eevZYvXrpDrdlzC1ieStyZA7BybV1THt+5v5/le6zPyHesRi4y3aZaSn6qLdXUTif+13mpno3zQAAIhBuBUPGjK3kJOam4d2fy+gmj4sT00OL1Stxp5yoSc+eqFVuVN68t+0c6jgxaSaRjAbRMCTG3dK1UWuzoH2edSr7Tlu71Ts9AHhAAAkAgyAiEisDS02oZXe3KkakawYZCFVZILHd2cSdr715bv5Sba4YowaXFmBmwfEgnApbL2vhnnhnDLxwtUM/f35CvxJ2EXZB9J07W1jE/DCRmasFL9UrkPP4HeEEJ1wCBnolAqPjRkbxiI4+f3nUO/2TsTLVOQKaSvFfcFBd3QiD1TX151Jp1KsDqmqducSQNJyKRvJZj/RxDIaRDLukKwnSv75nNG7UGAkAgzAiEisAykmzp3eTIkR4ayGP3jeG1E8fHB0f1tMwnV07k+vr2cAgmP65/5ma+oOLxTgcsb2zO45nPDmJZ+zdo96B4sHQRd/IRK55Y88zv1uvb/MKRTlMtdRk9QJ/0Er/UMWkhcRIIAIGcIBAqfnQkrw2F/PHob/Lpq6fy+8Ut8Zg4raX7lMATcmpo6s23rl+uppBITB6TLFLt6ymZ2Xh78mOtR+QkleNkW7rXJ3sWzgEBIAAEgoZAqAgsPa2W0dWOHJnipT+2eROvGz+WV8ycypWlJRytqODtW6dzY31hwhRJCVh+e5YCljc0t0/DFCF33YHr1EcLOzO979DFas2dTHk0+VhzqZ4No1PJ7+4t1VRLp/J45Xev1zl9B/KAABAILwKh4kcn8hLL3Vv9+vEvv9+gxN0bG1cpN84yjaSuvoDFZfMdm8uUuIvsnJGWuPMyhz68TQc1AwJAAAjkFoFQEVhGki29m5w4MtkbrGzZqyx3Iu6i5WXKa/OevTckCDvh06WPT+gIWL79npQBy+2Dp/IM/TnY2CHuRMyJ9U6seMMeH2ax4smx5DttWtA5pU7X+ylPRJt4yjTLrj1n+qmcKAsQAAL+RSBU/OhEXqeHFvCxy6ewTMts2VTCDY194yJOyGTmgwuUuPveI/fG8+3E43as5/n79/WiZEAACACB8CIQKgJLT6tldLUTR7q1jsUvvM43LblKTctcWlbuKu4kpNDoNWsVj6YdsNzwjHmwrsAi3kwrnVjwRPRUraniimgFFy0t4kmPTnIVd1KnyspKi0DSYkny/b75yfrod6xQPiAABJwRCBU/2snrnZd/p9w5y6Lw5pKnEmLdzX90jiKlGduKE0YktagT75p6VFHnSZqtOfTOrwW5QAAIAAEgkAqBUBFYRpItvZvsHOmG7wuv/obvmrWJ144fwxu/X6qWM9gtd43N+bxw5wwjYPldGQYsz2NZB79522QeuXVkgsgTK93upt1pW7S0oHNK3ertl3ynMus8v5QR5QACQMDfCISKH03yEnH38LxWFchcFoSvqFhmEXGlu+5S4k7cNgtRmeJN7wvpiIdNGU07cWKL4zx/f79elA4IAAEgEF4EQkVg6Wm1jK42OdKpVZwsn8ObbxvJ625vD17+UPHyuDMyGejU3JiNgOV64LSmdpDiWREwYpkzLXeXPX2ZstJlYtGCBc/pDSMPCACBnoJAqPjRJK/dpS+1i7uJc1jcOEcronEL3rLHxytxN3bdCuVgRZOWmYrlThZGYwMCQAAIAAF/IhAqAstIsqV3k8mR9jd68v5bef24jjBCLyzYqnhThJc4IxN+FG/T2QhYLuJOBk+1VUqnMv3SFHgyNVM2fd4ptddDHztdq/P0NX5NsQbPr28G5QICwUEgVPxoklf17GZum9/KHy48rtbficATQln95C3cq+QQ37B6Pdc39uXGpvaF3aa4E8vdzp2zg/MWUVIgAASAQA9EIFQElp5Wy+hqkyMtzeXUPt526/VqMFRCCMma9arypUpY7T9wiZr98tCz13Q6YLni2abevGPrDEfRZrfgiXMV2TKx4GVyjwWTHB/AO2aOXwC+HggEHIFQ8aNJXm3zjymS+nXkReU9c0X5Mp5Vto7zIof428sf4iNH+yuLnog++cg0ERlVlPShFMqF3wAAEDVJREFUh6anDFEQ8PeO4gMBIAAEAo9AqAgsI8mW3k0mR+qXL8sZNk8p4pY5G/lY6T7esfXuOB8ebejDh48O4GnVETXrJeOA5TK9Uz6He/HH1WfzqehwXh5dZBF5iysXJ6zB0xa8TCxamdyjMUEKBIAAEAg6AqHiR01e9VMWKMudFneSPlZygPMjh3hwyQGOVLSPTOrpGiqtiCqykVE/IQZsQAAIAAEg4G8EQkVg6Wm1jK7WHKnfqoi7dRNnK8vd04sf4eqtU5XDEz2jZf0zN3UuYLmIuto8/sH0Ptw6pxdz9Iz459SSS3nDqmWKd8U75phtYyzTM+0hEDKxaGVyj8YGKRAAAkAgyAiEih+FvF67YjhvmbLOYr17MdLKgyK1PDRymKNla9W6gqXlle3rCyqiXBmN8pEjR4L8HlF2IAAEgECPQyBUBJaRZEvvJrvAe27OHn636Kiy3Jnr1LMVsHx/Q76KXadi1Z3ax7yhkDl6Znsqx8Ym14jFTqZlSuoW3864BbtAAAgAASDggkCo+PG8vz2T3+xXwPunF8cF3onIcR4aqeUhkVp+OXJcTdfUlj1ZZ/B6yWEXaJANBIAAEAACfkYgVASWnlbL6GpT4L0476E4T64tX6ksabIm3WvAcnFEVldfoJY21NcX8tGmDi+bYgGsa8rj+w5dDKHm5w6EsgEBIBBaBELFj/3/4i94//TF/H5xixJyr0WO84hILQ+M1PDxSKtF3InI+7C0ObQvFhUDAkAACIQdgVARWEaSLb2btMCrnfFAXNwJF4r17oHyKh65aoNaa3fNyi2899CIeFgEPWVTUlmr3tCYz89vvIe/t3kaD398OEs4g7v2F/BzjX25qSVPhRSCF+qw9z7UDwgAAT8jECp+/OZff4N/8cARJeTejLTx1ZE6LojUcH3kWIK4+yDSyn989fd+fjcoGxAAAkAACCRBIFQElp5Wy+jq3gN78/rx49W0TD2T5YNIG09etF2tUe9d8gKXPDbNEhtWe5oWYSdWuz17buC9kyZx2/ACvvSpS5O8HZwCAkAACACBXCEQKn785llnqlHJ05E2vjFSz70jNfy8TdzJtMz3ipsh7nLV4vC9QAAIAIEsIRAqAstIsqV30zfP+mvlUEV4UASezGwZGalTVrvLSp/gooqqBK/S8Xh1FVFetric66+7nl8tLOC5xQMx/TJL7RiPAQJAAAhkG4Fc8uNIInqHiH5JRCUONPVnRLQldv51IhricI0lSwTe6w8c4XGReu4VqeEnIu1TNfVIpZDasXt3ZRtDPA8IAAEgAARygEAuCcxCPpkfdIYHU92bUCrhSJnl8qtIG0cjjZwXqeHBkVreGWnhYyX7WK3Fq4iq9OGyjVwp3qUrKriyvFxZ7WSNu1juShaPgLjLQXvHVwIBIAAEvCKQK378EhH9iojyiOgrRHSKiAbY2Gg0EdUTkQi9i4nohO18wuHfn3Um3zR/lxqNfCTSHJ+WKcLu3QVH+cB313vFBdcBASAABICAzxHIFYElkE9mGZ3hQS/3JpRKBF7Nwhb+dsxqNyvSwD+3OR+TAVHhzF8VNfGB627nN2Ki7oHSYRB1Pu8PKB4QAAJAQCOQK368hIgaDPYpJSL5mNsjRDTJyBBr398axwm7Z3z9m0rczZu7SY1SCknJaOX+6UW8bsJ0XWekQAAIAAEgEAIEckVgCeSTWUZneNDLvQmlOvPrf8/nLTzCF0Vq+YBt+YIWdsKbr99/hJ+6vkDFpRMHKghZEILOgioAASDQoxDIFT+OI6IdBvtMJaJq41h2a4joMiOvhYiGGccJu1/5Rm8eN6uS142/0fJZP7mkR71UVBYIAAEg0BMQyBWBJZBPZhmd4UEv9yaU6ivn9ObJ8x7mN4s7ZrhoYffhwuPcMmcLbx9XyhsmFSAWXU/oQKgjEAACoUUgV/x4u4PA22pjo1oHgTfUdo0czopV4uSX/vy/8T987R/4m2edxTIVRVI51ucDln4QsPKeTFLesNQlLPWQd4W6ECVrs7k6F5b30l31+GcHTghKVmd40Mu9GgeDI/9McWPe187hwnN686Bz+qk072t/y+ee3Zv/8atn/SnJ73iu+oTT93ZX+3L67mznoS74Lc52mzKfh/bVc9tXTvjRy/SStKdoxohJk1rQU+mgYdnCUpew1EPaFeriz94VlvcSlnp0ZSvpDA96udep7GF5L2GpB36LnVqpP/LC0sbCUg/0FX/0i5Sl+DIRvUdEvQwnK4W2u260OVn5ie280yEashMquc8Ly3sJSz2kRaAuue8XTiUIy3sJSz2c3lG28jrDg17udSpnWN5LWOoh7wh1cWqpuc8Ly3sJSz3QV3LfJzyXQLxkno5501wcu2sOEclHNvGeuS12/uep1t/F7kFDjgHhsyQs7yUs9ZDmgbr4rJPEihOW9xKWenR1K+kMDzrdm6q8YXkvYamHvC/UJVWrzc35sLyXsNQDfSU3/cA33yprDcKyoS7+e5N4J/57J1IivBf/vZcwvRP/oZt5icLyXsJSD/x+Zd6Wu/rOsLSxsNQDfaWrWzyeDwSAABAAAkAACAABIAAEgAAQAAJAAAgAASAABIAAEAACQAAIAAEgAASAABBIQGAkEUng818SUUnC2fb1e1ti518noiEO1/glK1VdJhOR1EE+PyKiwX4puK0cqeqhLx9ORJ8TkcRx8uvmpS5XEtHPiOhNImrza0WIKFVdziSiI0R0KlaX6T6ty04i+gMRveFSPlmzG5Q+n6ouQenzqeqhX1UQ+rwuaxjSVH0+SH0lVV2C0lekXaWqi257QegvXuoSBI5MVY+g8KO0nVS/x0Hp96nqEaQ+n6ouQerzuqxdmn4p5nglz/DAOcD2jbL4vD7mqOViIjphO++XQy91GUFEZ8UKPMqndfFSD6mCXHeMiOp8LPC81OWviOgtIjo39l7+xi8NylYOL3VZRESrY/d9nYj+NdavbI/K+eG3YwM1bgIvKH1egExVlyD0eS/1kGuC0Odz3rizWAAvfT4ofcVLXYLSV7zUJSj9xUtdgsCRXuoRFH6UtpOKV4LS71PVIyh93ss7CUqfl3J2y+Yl/k8mMfS6pfC2L/FSF/MWEXq/NTN8su+1HvcT0b1EtNvHAs9LXeYS0XKfYJ+sGF7qUkpED8YGQyRsiVjF/zzZQ3N47rwkFryg9HkNX7K66Gsk9Wuf12VMVY8g9HldlzCkXvp8UPqKl7qY78zPfcVrXYLQX7zUJQgc6aUeQeJH6QvJfo+D0u9T1SMofV6XM9k7kWuC0Od1Xbo8lal9O4xvmUpE1cax7NYQ0WVGXovHMAvGLd2y66UuZkGKbHU3z+Vy30s9/j42lVFGzfws8LzUZVMshMdxInqFiO7MJfhJvttLXf6SiFqJ6HdE9EcikviTft2S/VAGpc9rbJPVRV8jqV/7vC5jsnoEpc/ruoQh9dLng9JXvNTFfGd+7ite6hKU/uKlLkHgSC/1CBI/Sl9I9nsclH6fqh5B6fO6nMneSVD6vK5Ll6e320SOCLyttm+tdRB4Q23X+OHQS110Oa8ioreJ6Gs6w0epl3ocICKZLiubnwWel7rIgMLLRPRVIjqbiN4lor6xuvkp8VIXIbmNMQtebyJ6n4jO8FMljLIk+6EMSp/X1UlWF32Nn/u8LmOyegSlz+u6hCH10ueD0le81EW/M7/3FS91CUp/8VKXIHCkl3oEiR+lLyT7PQ5Kv09Vj6D0eV3OZO8kKH1e16XLUy9m9aCYor3URQA9P7bu0I8iQsrnpR4iHD6IfcRSJA4zbuny1pL+F3ipizj2qTQe/RgRCVn4bfNSF/nRv9wouKyRvNA49tNush/KoPR5jWeyusg1fu/zXuoRlD6v6xKG1EufD0pf8VKXoPQVL3UJSn/xUpcgcKSXegSJH6UvJOOVoPT7VPUISp+XcsqW7J0Epc/HqtL1yZeJ6D0ikvVCX4l5/yu0fa1MMzOdrPzEdt4vh17qIo48ZF2ULCz16+alHmbZ/WzB81KX/kQk037l2v8RWxc20KygT/a91OUhQ6yeE1vjKVZJP27JfiiD0uc1rsnqEoQ+76Ue+hpJ/dznzXIGfd9Lnw9KX/FSl6D0FS91Mduen/uLl7oEgSO91CNI/CjtJxmvBKXfp6pHUPq87s/J3om+RlI/93mznF2+L96ATsesWotj3zaHiOQjm7iD3RY7/3Ofrr+LFZVS1UXWG34Sc8kvbvlP6ht9lqaqh1lcvzdkL3UpjnnSFK+OskjWr1uquvwdETUSkfQTqcsUn1bk6dg6wf8kot8Q0d2x/h7EPp+qLkHp86nqYTYlv/d5s6xB30/V58GPuXnDqd6LWSq/9xcvdQkCR6aqR1D4UdpOqt/joPT7VPUICj96eSdB6vNmWbEPBIAAEAACQAAIAAEgAASAABAAAkAACAABIAAEgAAQAAJAAAgAASAABIAAEAACQAAIAAEgAASAABAAAkAACAABIAAEgAAQAAJAAAgAASAABIAAEAACQAAIAAEgAASAABAAAkAACAABIAAEgAAQAAJAAAgAASAABIAAEAACQAAIAAEgAASAABAAAkAghsAFRCrchhsgw4hoi9tJ5AMBIAAEgAAQCDEC4MgQv1xUDQgAASAQVgSmEVG1S+UkmCs2IAAEgAAQAAI9FQFwZE9986g3EAACQCDHCJxHRL8gIgniKQHHnySia4noh0T0LhFdSERfJaKdRPRTInqNiMYS0VeI6CMi+mci+hkRTSCiSiLaHgtg/hQRXUlENbH6/U8i2hULbP46EX0nx/XG1wMBIAAEgAAQSIUAODIVQjgPBIAAEAACvkNAyOu/iGgQEf05Eb0SE3N/FhNyB4loBRFNiZX8r4jodEz02UcnReDJ/f89dq0p8FYT0Saj9mcZ+9gFAkAACAABIOBHBMCRfnwrKBMQAAJAAAgkRUDISyx1ettLRJNjB3kx69zJmHVPLHXyEctdfyJyEnhR/SCbBU+EXx/jHHaBABAAAkAACPgdAXCk398QygcEgAAQAAIJCAh5ydRMve0monGxA31OxFk/fYGROgm8IuO8acF7lYh6G+ewCwSAABAAAkDA7whoHtTlBEdqJJACASAABICAbxHwQl4yRVOcqci0Tdm+FUtlHd2e2L4kMkXTTeCtwhRNAynsAgEgAASAQBAQAEcG4S2hjEAACAABIGBBwAt5yZq6R2IOUsTapx2n/HXM8YrpZMVN4ImTFRGDcv8pIrrNUgocAAEgAASAABDwHwLgSP+9E5QICAABIAAEgAAQAAJAAAgAASAABIAAEAACQAAIAAEgAASAABAAAkAACAABIAAEgAAQAAJAAAgAASAABIAAEAACQAAIAAEgAASAABAAAkAACAABIAAEgAAQAAJAAAgAASAABIAAEAACQAAIAAEgAASAABAAAkAACAABIAAEgAAQAAJAAAgAASAABIAAEAACQAAIAAEgAASAABAAAkAACAABIAAEgAAQAAJAAAgAASAABIAAEAACQAAIAAEgAASAABAAAkAACAABIAAEgoLA/wfuSIViXvcpNQAAAABJRU5ErkJggg=="
}
},
"cell_type": "markdown",
"metadata": {},
"source": [
"This post discusses and shows the impact of the `useRandomCoords` option for the RDKit's conformer generator.\n",
"\n",
"The RDKit's conformation generator is based on distance geometry. Here are the basic steps for the standard approach:\n",
"\n",
"1. The molecule's distance bounds matrix is calculated based on the connection table and a set of rules.\n",
"2. The bounds matrix is smoothed using a triangle-bounds smoothing algorithm.\n",
"3. A random distance matrix that satisfies the bounds matrix is generated.\n",
"4. This distance matrix is embedded in 3 or 4 dimensions (producing coordinates for each atom).\n",
"5. The resulting coordinates are cleaned up somewhat using a crude force field (the \"distance geometry force field\") and the bounds matrix.\n",
"6. If 4D embedding was done: another minimization is done with the distance geometry force field including a term to drive the 4th coordinate to zero.\n",
"7. If either experimental torsions (ET) or basic knowledge terms (K) are being used (the default is to use both because the conformations are higher quality), a final minimization is done using the \"ET\", \"K\", or \"ETK\" force fields. \n",
"\n",
"Another way to generate the initial set of coordinates is to replace steps 3 and 4 with just picking a set of random coordinates (i.e. scatter the atoms randomly about a 3D box) and then moving on to step 5 and minimizing those using the distance geometry force field mentioned above. I learned of this approach from David Spellmeyer, who published it back in 1997: https://doi.org/10.1016/S1093-3263(97)00014-4\n",
"\n",
"Starting from random coordinates has been possible within the RDKit more or less since the beginning (I've known David a long time ;-), but it's not the default because my implementation of it was slower than the standard embedding approach in the early testing and validation work I did. I've been saying for years that random-coordinate embedding is more robust (though slower), but I haven't actually gone back and tested/quantified that since my initial experiments. This blog post aims to clear some of that up.\n",
"\n",
"TL;DR: I ran some experiments using a set of 900 molecules with varying numbers of rotatable bonds and two different macrocycle sizes. Each molecule has at least two specified stereocenters. Given the current implementation, random-coordinate embedding is more robust - it's more likely to produce the requested number of conformers for these structures than the standard metric embedding is - but it still tends to be a bit slower.\n",
"\n",
"Here's a graphical summary of the results:\n",
"![image-2.png](attachment:image-2.png)\n",
"The main conclusion about timing can be see by comparing the red (metric) and blue (random) data.\n",
"\n",
"Here's a plot comparing how long it takes to generate each conformer when trying for 50 conformers (left) or 50 more diverse conformers (right), the plot has been zoomed in, so a few extreme outliers (which impact the standard metric embedding more severely than the random-coordinate embedding) are not visible.\n",
"\n",
"![image.png](attachment:image.png)\n",
"\n",
"Given that it is certainly more robust and that the overall performance difference isn't huge, I think I'm likely to switch to using random-coordinate embedding for my future work. Maybe we can think about making it the default in the RDKit too.\n",
"\n",
"For those who are interested, here's the original literature about ETKDG:\n",
"- The original ETKDG publication: https://pubs.acs.org/doi/abs/10.1021/acs.jcim.5b00654\n",
"- Sereina Riniker's presentation at the 2015 RDKit UGM: https://github.com/rdkit/UGM_2015/blob/master/Presentations/ETKDG.SereinaRiniker.pdf\n",
"- An update describing ETKDGv3 and extensions to better handle small rings and macrocycles: https://pubs.acs.org/doi/abs/10.1021/acs.jcim.0c00025\n",
"\n",
"If you want to play with the compounds yourself, the SMILES are all in the [rdkit_blog github repo]()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ok, let's get to work and generate the data."
]
},
{
"cell_type": "code",
"execution_count": 147,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2020.09.4\n",
"The sql extension is already loaded. To reload it, use:\n",
" %reload_ext sql\n",
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"from rdkit import Chem\n",
"from rdkit.Chem import Draw\n",
"from rdkit.Chem.Draw import IPythonConsole\n",
"from rdkit.Chem import rdDepictor\n",
"rdDepictor.SetPreferCoordGen(True)\n",
"import pandas as pd\n",
"import rdkit\n",
"print(rdkit.__version__)\n",
"%load_ext sql\n",
"%pylab inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Collecting test molecules from ChEMBL\n",
"\n",
"For this exercise I want a set of molecules which have varying numbers of rotatable bonds and which include at least two specified chiral centers. I include the constraint on chiral centers because the RDKit's conformation generator normally only returns conformations which match the specified stereochemistry. This can make conformation generation slower and I'm curious to see the impact of that as part of this post.\n",
"\n",
"Start with a few queries against my local copy of ChEMBL27 to see how many molecules with at least two specified chiral centers are available with different numbers of rotatable bonds:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 rows affected.\n"
]
},
{
"data": {
"text/html": [
"
\n",
" \n",
" \n",
" count \n",
" \n",
" \n",
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" \n",
" 14904 \n",
" \n",
" \n",
"
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],
"text/plain": [
"[(14904,)]"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%sql postgresql://localhost/chembl_27 \\\n",
" select count(*) from compound_properties \\\n",
" join compound_structures using (molregno) \\\n",
" where rtb = 2 and \\\n",
" array_length(regexp_split_to_array(canonical_smiles,'@+'),1)-1 >2;"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 rows affected.\n"
]
},
{
"data": {
"text/html": [
"\n",
" \n",
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" 20586 \n",
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" \n",
"
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],
"text/plain": [
"[(20586,)]"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%sql postgresql://localhost/chembl_27 \\\n",
" select count(*) from compound_properties \\\n",
" join compound_structures using (molregno) \\\n",
" where rtb = 5 and \\\n",
" array_length(regexp_split_to_array(canonical_smiles,'@+'),1)-1 >2;"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 rows affected.\n"
]
},
{
"data": {
"text/html": [
"\n",
" \n",
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" 9845 \n",
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" \n",
"
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],
"text/plain": [
"[(9845,)]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%sql postgresql://localhost/chembl_27 \\\n",
" select count(*) from compound_properties \\\n",
" join compound_structures using (molregno) \\\n",
" where rtb = 10 and \\\n",
" array_length(regexp_split_to_array(canonical_smiles,'@+'),1)-1 >2;"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 rows affected.\n"
]
},
{
"data": {
"text/html": [
"\n",
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" 3834 \n",
" \n",
" \n",
"
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],
"text/plain": [
"[(3834,)]"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%sql postgresql://localhost/chembl_27 \\\n",
" select count(*) from compound_properties \\\n",
" join compound_structures using (molregno) \\\n",
" where rtb = 15 and \\\n",
" array_length(regexp_split_to_array(canonical_smiles,'@+'),1)-1 >2;"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 rows affected.\n"
]
},
{
"data": {
"text/html": [
"\n",
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"
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],
"text/plain": [
"[(1129,)]"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%sql postgresql://localhost/chembl_27 \\\n",
" select count(*) from compound_properties \\\n",
" join compound_structures using (molregno) \\\n",
" where rtb = 25 and \\\n",
" array_length(regexp_split_to_array(canonical_smiles,'@+'),1)-1 >2;"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looks like we can get plenty of molecules with up to 25 rotatable bonds, so let's go ahead and collect a set of 100 molecules for each of the rotatable bond counts 1, 2, 5, 10, 15, 20, and 15. I also include two additional sets of 100 molecules: one which contains at least one ring of size 10 and one which contains at least one ring of size 14. These macrocycles show up in what comes below with negative numbers of rotatable bonds: -10 for the compounds with a 10-ring and -14 for compounds with a 14-ring."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"100 rows affected.\n",
"100 rows affected.\n",
"100 rows affected.\n",
"100 rows affected.\n",
"100 rows affected.\n",
"100 rows affected.\n",
"100 rows affected.\n",
"100 rows affected.\n",
"100 rows affected.\n"
]
}
],
"source": [
"overall_data = []\n",
"for tgt in (1,2,5,10,15,20,25):\n",
" d = %sql postgresql://localhost/chembl_27 \\\n",
" select * from (select canonical_smiles,chembl_id,rtb from compound_properties \\\n",
" join compound_structures using (molregno) \\\n",
" join chembl_id_lookup on (molregno=entity_id and entity_type='COMPOUND') \\\n",
" where rtb = :tgt and \\\n",
" mw_freebase = full_mwt and \\\n",
" array_length(regexp_split_to_array(canonical_smiles,'@+'),1)-1 >2) tmp \\\n",
" order by random() \\\n",
" limit 100;\n",
" overall_data.extend(d)\n",
"for tgt in (10,14):\n",
" sma = f'[r{tgt}]'\n",
" d = %sql postgresql://localhost/chembl_27 \\\n",
" select * from (select canonical_smiles,chembl_id,-1 * :tgt from compound_properties \\\n",
" join compound_structures using (molregno) \\\n",
" join rdk.mols using (molregno) \\\n",
" join chembl_id_lookup on (molregno=entity_id and entity_type='COMPOUND') \\\n",
" where m@>:sma ::qmol and \\\n",
" mw_freebase = full_mwt and \\\n",
" array_length(regexp_split_to_array(canonical_smiles,'@+'),1)-1 >2) tmp \\\n",
" order by random() \\\n",
" limit 100;\n",
" overall_data.extend(d)\n",
"\n",
"with open('../data/chembl27_confgen_tgts.txt','w+') as outf:\n",
" outf.write('SMILES CHEMBL_ID RTB\\n')\n",
" for line in overall_data:\n",
" outf.write(' '.join(str(x) for x in line)+'\\n')"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SMILES CHEMBL_ID RTB\r\n",
"C[C@@H]1C[C@@]2(C)[C@@H](CC[C@H]3[C@@H]4CC[C@H](O)[C@@]4(C)CC[C@@H]32)C/C1=N\\N=C1/C[C@@H]2CC[C@H]3[C@@H]4CC[C@H](O)[C@@]4(C)CC[C@@H]3[C@@]2(C)C[C@H]1C CHEMBL2104408 1\r\n",
"CC(C)[C@@H]1OC(=O)C2(/C=C/c3ccc4ccc(nc4c3)[C@@H](C)NC(=O)[C@@H]3CCCN(N3)C(=O)[C@H](C)NC1=O)CCS(=O)(=O)CC2 CHEMBL4175329 1\r\n",
"CC(=O)O[C@H]1CCC[C@@H]2COC(=O)[C@@H]21 CHEMBL2228334 1\r\n",
"CNC(=O)O[C@H]1OC(=O)[C@H]2[C@H]3C=C[C@H](C3)[C@H]21 CHEMBL3989617 1\r\n",
"CC1(C)CC[C@]2(C)CC[C@]3(C(=O)O)C(=CC[C@@H]4[C@@]5(C)CC[C@H](O)C(C)(C)[C@@H]5CC[C@]43C)[C@@H]2C1 CHEMBL559587 1\r\n",
"CC1(C)[C@@H](O)CC[C@]2(C)C3=C(CC[C@@H]12)[C@@]1(C)CC[C@@]2(C)CC[C@@](C)(CO)C[C@H]2[C@]1(C)CC3 CHEMBL484238 1\r\n",
"C[C@]12CC[C@H](c3cc(F)c(O)cc3F)C[C@H]1CC[C@@H]2O CHEMBL1651144 1\r\n",
"Cc1cncc(C2=CC=C3[C@@H]4CCC5CNC(=O)CC[C@]5(C)[C@H]4CC[C@]23C)c1 CHEMBL3938064 1\r\n",
"C[C@H](O)[C@H]1O[C@@H]2SC(N3CCCC3)=N[C@@H]2[C@@H](O)[C@@H]1O CHEMBL3647379 1\r\n"
]
}
],
"source": [
"!head ../data/chembl27_confgen_tgts.txt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Run the experiments\n",
"\n",
"Now we read those molecules back in and then start collecting data.\n",
"\n",
"Here are the different experiments:\n",
"\n",
"1. Generate a single conformer for each molecule.\n",
"2. Try to generate 50 conformers for each molecule.\n",
"3. Try to generate 50 diverse conformers for each molecule using an RMSD filter of 0.5\n",
"4. Try to generate 50 conformers for each molecule ignoring stereochemistry\n",
"\n",
"We will use ETKDGv3 and repeat each run once starting from standard embedding and once starting from random coordinates.\n"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"suppl = Chem.SmilesMolSupplier('../data/chembl27_confgen_tgts.txt')\n",
"ms = [Chem.AddHs(m) for m in suppl]"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"from rdkit.Chem import AllChem\n",
"from collections import defaultdict\n",
"import time\n",
"import pickle"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Single conformer"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 10 of 900\n",
"Doing 20 of 900\n",
"Doing 30 of 900\n",
"Doing 40 of 900\n",
"Doing 50 of 900\n",
"Doing 60 of 900\n",
"Doing 70 of 900\n",
"Doing 80 of 900\n",
"Doing 90 of 900\n",
"Doing 100 of 900\n",
"Doing 110 of 900\n",
"Doing 120 of 900\n",
"Doing 130 of 900\n",
"Doing 140 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [08:35:54] UFFTYPER: Unrecognized charge state for atom: 10\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 150 of 900\n",
"Doing 160 of 900\n",
"Doing 170 of 900\n",
"Doing 180 of 900\n",
"Doing 190 of 900\n",
"Doing 200 of 900\n",
"Doing 210 of 900\n",
"Doing 220 of 900\n",
"Doing 230 of 900\n",
"Doing 240 of 900\n",
"Doing 250 of 900\n",
"Doing 260 of 900\n",
"Doing 270 of 900\n",
"Doing 280 of 900\n",
"Doing 290 of 900\n",
"Doing 300 of 900\n",
"Doing 310 of 900\n",
"Doing 320 of 900\n",
"Doing 330 of 900\n",
"Doing 340 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [08:37:03] UFFTYPER: Unrecognized charge state for atom: 11\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 350 of 900\n",
"Doing 360 of 900\n",
"Doing 370 of 900\n",
"Doing 380 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [08:37:18] UFFTYPER: Unrecognized charge state for atom: 9\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 390 of 900\n",
"Doing 400 of 900\n",
"Doing 410 of 900\n",
"Doing 420 of 900\n",
"Doing 430 of 900\n",
"Doing 440 of 900\n",
"Doing 450 of 900\n",
"Doing 460 of 900\n",
"Doing 470 of 900\n",
"Doing 480 of 900\n",
"Doing 490 of 900\n",
"Doing 500 of 900\n",
"Doing 510 of 900\n",
"Doing 520 of 900\n",
"Doing 530 of 900\n",
"Doing 540 of 900\n",
"Doing 550 of 900\n",
"Doing 560 of 900\n",
"Doing 570 of 900\n",
"Doing 580 of 900\n",
"Doing 590 of 900\n",
"Doing 600 of 900\n",
"Doing 610 of 900\n",
"Doing 620 of 900\n",
"Doing 630 of 900\n",
"Doing 640 of 900\n",
"Doing 650 of 900\n",
"Doing 660 of 900\n",
"Doing 670 of 900\n",
"Doing 680 of 900\n",
"Doing 690 of 900\n",
"Doing 700 of 900\n",
"Doing 710 of 900\n",
"Doing 720 of 900\n",
"Doing 730 of 900\n",
"Doing 740 of 900\n",
"Doing 750 of 900\n",
"Doing 760 of 900\n",
"Doing 770 of 900\n",
"Doing 780 of 900\n",
"Doing 790 of 900\n",
"Doing 800 of 900\n",
"Doing 810 of 900\n",
"Doing 820 of 900\n",
"Doing 830 of 900\n",
"Doing 840 of 900\n",
"Doing 850 of 900\n",
"Doing 860 of 900\n",
"Doing 870 of 900\n",
"Doing 880 of 900\n",
"Doing 890 of 900\n",
"Doing 900 of 900\n"
]
}
],
"source": [
"ps = AllChem.ETKDGv3()\n",
"ps.randomSeed=0xf00d\n",
"metric_etkdg_res = []\n",
"for i,m in enumerate(ms):\n",
" if not (i+1)%10:\n",
" print(f'Doing {i+1} of {len(ms)}')\n",
" m = Chem.Mol(m)\n",
" t1 = time.time()\n",
" AllChem.EmbedMolecule(m,ps)\n",
" t2 = time.time()\n",
" metric_etkdg_res.append((t2-t1,m.GetNumConformers(),m,m.GetIntProp('RTB')))\n",
"with open('./results/random_coords_expt.pkl','wb+') as outf:\n",
" pickle.dump((metric_etkdg_res,),outf)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 10 of 900\n",
"Doing 20 of 900\n",
"Doing 30 of 900\n",
"Doing 40 of 900\n",
"Doing 50 of 900\n",
"Doing 60 of 900\n",
"Doing 70 of 900\n",
"Doing 80 of 900\n",
"Doing 90 of 900\n",
"Doing 100 of 900\n",
"Doing 110 of 900\n",
"Doing 120 of 900\n",
"Doing 130 of 900\n",
"Doing 140 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [08:45:08] UFFTYPER: Unrecognized charge state for atom: 10\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 150 of 900\n",
"Doing 160 of 900\n",
"Doing 170 of 900\n",
"Doing 180 of 900\n",
"Doing 190 of 900\n",
"Doing 200 of 900\n",
"Doing 210 of 900\n",
"Doing 220 of 900\n",
"Doing 230 of 900\n",
"Doing 240 of 900\n",
"Doing 250 of 900\n",
"Doing 260 of 900\n",
"Doing 270 of 900\n",
"Doing 280 of 900\n",
"Doing 290 of 900\n",
"Doing 300 of 900\n",
"Doing 310 of 900\n",
"Doing 320 of 900\n",
"Doing 330 of 900\n",
"Doing 340 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [08:47:42] UFFTYPER: Unrecognized charge state for atom: 11\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 350 of 900\n",
"Doing 360 of 900\n",
"Doing 370 of 900\n",
"Doing 380 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [08:47:59] UFFTYPER: Unrecognized charge state for atom: 9\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 390 of 900\n",
"Doing 400 of 900\n",
"Doing 410 of 900\n",
"Doing 420 of 900\n",
"Doing 430 of 900\n",
"Doing 440 of 900\n",
"Doing 450 of 900\n",
"Doing 460 of 900\n",
"Doing 470 of 900\n",
"Doing 480 of 900\n",
"Doing 490 of 900\n",
"Doing 500 of 900\n",
"Doing 510 of 900\n",
"Doing 520 of 900\n",
"Doing 530 of 900\n",
"Doing 540 of 900\n",
"Doing 550 of 900\n",
"Doing 560 of 900\n",
"Doing 570 of 900\n",
"Doing 580 of 900\n",
"Doing 590 of 900\n",
"Doing 600 of 900\n",
"Doing 610 of 900\n",
"Doing 620 of 900\n",
"Doing 630 of 900\n",
"Doing 640 of 900\n",
"Doing 650 of 900\n",
"Doing 660 of 900\n",
"Doing 670 of 900\n",
"Doing 680 of 900\n",
"Doing 690 of 900\n",
"Doing 700 of 900\n",
"Doing 710 of 900\n",
"Doing 720 of 900\n",
"Doing 730 of 900\n",
"Doing 740 of 900\n",
"Doing 750 of 900\n",
"Doing 760 of 900\n",
"Doing 770 of 900\n",
"Doing 780 of 900\n",
"Doing 790 of 900\n",
"Doing 800 of 900\n",
"Doing 810 of 900\n",
"Doing 820 of 900\n",
"Doing 830 of 900\n",
"Doing 840 of 900\n",
"Doing 850 of 900\n",
"Doing 860 of 900\n",
"Doing 870 of 900\n",
"Doing 880 of 900\n",
"Doing 890 of 900\n",
"Doing 900 of 900\n"
]
}
],
"source": [
"ps = AllChem.ETKDGv3()\n",
"ps.randomSeed=0xf00d\n",
"ps.useRandomCoords = True\n",
"random_etkdg_res = []\n",
"for i,m in enumerate(ms):\n",
" if not (i+1)%10:\n",
" print(f'Doing {i+1} of {len(ms)}')\n",
" m = Chem.Mol(m)\n",
" t1 = time.time()\n",
" AllChem.EmbedMolecule(m,ps)\n",
" t2 = time.time()\n",
" random_etkdg_res.append((t2-t1,m.GetNumConformers(),m,m.GetIntProp('RTB')))\n",
"with open('./results/random_coords_expt.pkl','wb+') as outf:\n",
" pickle.dump((metric_etkdg_res,random_etkdg_res,),outf)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 50 conformers"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 10 of 900\n",
"Doing 20 of 900\n",
"Doing 30 of 900\n",
"Doing 40 of 900\n",
"Doing 50 of 900\n",
"Doing 60 of 900\n",
"Doing 70 of 900\n",
"Doing 80 of 900\n",
"Doing 90 of 900\n",
"Doing 100 of 900\n",
"Doing 110 of 900\n",
"Doing 120 of 900\n",
"Doing 130 of 900\n",
"Doing 140 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [09:18:45] UFFTYPER: Unrecognized charge state for atom: 10\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 150 of 900\n",
"Doing 160 of 900\n",
"Doing 170 of 900\n",
"Doing 180 of 900\n",
"Doing 190 of 900\n",
"Doing 200 of 900\n",
"Doing 210 of 900\n",
"Doing 220 of 900\n",
"Doing 230 of 900\n",
"Doing 240 of 900\n",
"Doing 250 of 900\n",
"Doing 260 of 900\n",
"Doing 270 of 900\n",
"Doing 280 of 900\n",
"Doing 290 of 900\n",
"Doing 300 of 900\n",
"Doing 310 of 900\n",
"Doing 320 of 900\n",
"Doing 330 of 900\n",
"Doing 340 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [09:35:11] UFFTYPER: Unrecognized charge state for atom: 11\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 350 of 900\n",
"Doing 360 of 900\n",
"Doing 370 of 900\n",
"Doing 380 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [09:38:47] UFFTYPER: Unrecognized charge state for atom: 9\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 390 of 900\n",
"Doing 400 of 900\n",
"Doing 410 of 900\n",
"Doing 420 of 900\n",
"Doing 430 of 900\n",
"Doing 440 of 900\n",
"Doing 450 of 900\n",
"Doing 460 of 900\n",
"Doing 470 of 900\n",
"Doing 480 of 900\n",
"Doing 490 of 900\n",
"Doing 500 of 900\n",
"Doing 510 of 900\n",
"Doing 520 of 900\n",
"Doing 530 of 900\n",
"Doing 540 of 900\n",
"Doing 550 of 900\n",
"Doing 560 of 900\n",
"Doing 570 of 900\n",
"Doing 580 of 900\n",
"Doing 590 of 900\n",
"Doing 600 of 900\n",
"Doing 610 of 900\n",
"Doing 620 of 900\n",
"Doing 630 of 900\n",
"Doing 640 of 900\n",
"Doing 650 of 900\n",
"Doing 660 of 900\n",
"Doing 670 of 900\n",
"Doing 680 of 900\n",
"Doing 690 of 900\n",
"Doing 700 of 900\n",
"Doing 710 of 900\n",
"Doing 720 of 900\n",
"Doing 730 of 900\n",
"Doing 740 of 900\n",
"Doing 750 of 900\n",
"Doing 760 of 900\n",
"Doing 770 of 900\n",
"Doing 780 of 900\n",
"Doing 790 of 900\n",
"Doing 800 of 900\n",
"Doing 810 of 900\n",
"Doing 820 of 900\n",
"Doing 830 of 900\n",
"Doing 840 of 900\n",
"Doing 850 of 900\n",
"Doing 860 of 900\n",
"Doing 870 of 900\n",
"Doing 880 of 900\n",
"Doing 890 of 900\n",
"Doing 900 of 900\n"
]
}
],
"source": [
"ps = AllChem.ETKDGv3()\n",
"ps.randomSeed=0xf00d\n",
"ps.numThreads = 4\n",
"metric_etkdg50_res = []\n",
"for i,m in enumerate(ms):\n",
" if not (i+1)%10:\n",
" print(f'Doing {i+1} of {len(ms)}')\n",
" m = Chem.Mol(m)\n",
" t1 = time.time()\n",
" AllChem.EmbedMultipleConfs(m,50,ps)\n",
" t2 = time.time()\n",
" metric_etkdg50_res.append((t2-t1,m.GetNumConformers(),m,m.GetIntProp('RTB')))\n",
"with open('./results/random_coords_expt.pkl','wb+') as outf:\n",
" pickle.dump((metric_etkdg_res,random_etkdg_res,metric_etkdg50_res,),outf)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 10 of 900\n",
"Doing 20 of 900\n",
"Doing 30 of 900\n",
"Doing 40 of 900\n",
"Doing 50 of 900\n",
"Doing 60 of 900\n",
"Doing 70 of 900\n",
"Doing 80 of 900\n",
"Doing 90 of 900\n",
"Doing 100 of 900\n",
"Doing 110 of 900\n",
"Doing 120 of 900\n",
"Doing 130 of 900\n",
"Doing 140 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [11:36:31] UFFTYPER: Unrecognized charge state for atom: 10\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 150 of 900\n",
"Doing 160 of 900\n",
"Doing 170 of 900\n",
"Doing 180 of 900\n",
"Doing 190 of 900\n",
"Doing 200 of 900\n",
"Doing 210 of 900\n",
"Doing 220 of 900\n",
"Doing 230 of 900\n",
"Doing 240 of 900\n",
"Doing 250 of 900\n",
"Doing 260 of 900\n",
"Doing 270 of 900\n",
"Doing 280 of 900\n",
"Doing 290 of 900\n",
"Doing 300 of 900\n",
"Doing 310 of 900\n",
"Doing 320 of 900\n",
"Doing 330 of 900\n",
"Doing 340 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [12:14:02] UFFTYPER: Unrecognized charge state for atom: 11\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 350 of 900\n",
"Doing 360 of 900\n",
"Doing 370 of 900\n",
"Doing 380 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [12:18:03] UFFTYPER: Unrecognized charge state for atom: 9\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 390 of 900\n",
"Doing 400 of 900\n",
"Doing 410 of 900\n",
"Doing 420 of 900\n",
"Doing 430 of 900\n",
"Doing 440 of 900\n",
"Doing 450 of 900\n",
"Doing 460 of 900\n",
"Doing 470 of 900\n",
"Doing 480 of 900\n",
"Doing 490 of 900\n",
"Doing 500 of 900\n",
"Doing 510 of 900\n",
"Doing 520 of 900\n",
"Doing 530 of 900\n",
"Doing 540 of 900\n",
"Doing 550 of 900\n",
"Doing 560 of 900\n",
"Doing 570 of 900\n",
"Doing 580 of 900\n",
"Doing 590 of 900\n",
"Doing 600 of 900\n",
"Doing 610 of 900\n",
"Doing 620 of 900\n",
"Doing 630 of 900\n",
"Doing 640 of 900\n",
"Doing 650 of 900\n",
"Doing 660 of 900\n",
"Doing 670 of 900\n",
"Doing 680 of 900\n",
"Doing 690 of 900\n",
"Doing 700 of 900\n",
"Doing 710 of 900\n",
"Doing 720 of 900\n",
"Doing 730 of 900\n",
"Doing 740 of 900\n",
"Doing 750 of 900\n",
"Doing 760 of 900\n",
"Doing 770 of 900\n",
"Doing 780 of 900\n",
"Doing 790 of 900\n",
"Doing 800 of 900\n",
"Doing 810 of 900\n",
"Doing 820 of 900\n",
"Doing 830 of 900\n",
"Doing 840 of 900\n",
"Doing 850 of 900\n",
"Doing 860 of 900\n",
"Doing 870 of 900\n",
"Doing 880 of 900\n",
"Doing 890 of 900\n",
"Doing 900 of 900\n"
]
}
],
"source": [
"ps = AllChem.ETKDGv3()\n",
"ps.randomSeed=0xf00d\n",
"ps.numThreads = 4\n",
"ps.useRandomCoords = True\n",
"random_etkdg50_res = []\n",
"for i,m in enumerate(ms):\n",
" if not (i+1)%10:\n",
" print(f'Doing {i+1} of {len(ms)}')\n",
" m = Chem.Mol(m)\n",
" t1 = time.time()\n",
" AllChem.EmbedMultipleConfs(m,50,ps)\n",
" t2 = time.time()\n",
" random_etkdg50_res.append((t2-t1,m.GetNumConformers(),m,m.GetIntProp('RTB')))\n",
"with open('./results/random_coords_expt.pkl','wb+') as outf:\n",
" pickle.dump((metric_etkdg_res,random_etkdg_res,metric_etkdg50_res,random_etkdg50_res,),outf)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Include RMS Pruning"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 10 of 900\n",
"Doing 20 of 900\n",
"Doing 30 of 900\n",
"Doing 40 of 900\n",
"Doing 50 of 900\n",
"Doing 60 of 900\n",
"Doing 70 of 900\n",
"Doing 80 of 900\n",
"Doing 90 of 900\n",
"Doing 100 of 900\n",
"Doing 110 of 900\n",
"Doing 120 of 900\n",
"Doing 130 of 900\n",
"Doing 140 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [14:52:33] UFFTYPER: Unrecognized charge state for atom: 10\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 150 of 900\n",
"Doing 160 of 900\n",
"Doing 170 of 900\n",
"Doing 180 of 900\n",
"Doing 190 of 900\n",
"Doing 200 of 900\n",
"Doing 210 of 900\n",
"Doing 220 of 900\n",
"Doing 230 of 900\n",
"Doing 240 of 900\n",
"Doing 250 of 900\n",
"Doing 260 of 900\n",
"Doing 270 of 900\n",
"Doing 280 of 900\n",
"Doing 290 of 900\n",
"Doing 300 of 900\n",
"Doing 310 of 900\n",
"Doing 320 of 900\n",
"Doing 330 of 900\n",
"Doing 340 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [15:09:11] UFFTYPER: Unrecognized charge state for atom: 11\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 350 of 900\n",
"Doing 360 of 900\n",
"Doing 370 of 900\n",
"Doing 380 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [15:12:48] UFFTYPER: Unrecognized charge state for atom: 9\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 390 of 900\n",
"Doing 400 of 900\n",
"Doing 410 of 900\n",
"Doing 420 of 900\n",
"Doing 430 of 900\n",
"Doing 440 of 900\n",
"Doing 450 of 900\n",
"Doing 460 of 900\n",
"Doing 470 of 900\n",
"Doing 480 of 900\n",
"Doing 490 of 900\n",
"Doing 500 of 900\n",
"Doing 510 of 900\n",
"Doing 520 of 900\n",
"Doing 530 of 900\n",
"Doing 540 of 900\n",
"Doing 550 of 900\n",
"Doing 560 of 900\n",
"Doing 570 of 900\n",
"Doing 580 of 900\n",
"Doing 590 of 900\n",
"Doing 600 of 900\n",
"Doing 610 of 900\n",
"Doing 620 of 900\n",
"Doing 630 of 900\n",
"Doing 640 of 900\n",
"Doing 650 of 900\n",
"Doing 660 of 900\n",
"Doing 670 of 900\n",
"Doing 680 of 900\n",
"Doing 690 of 900\n",
"Doing 700 of 900\n",
"Doing 710 of 900\n",
"Doing 720 of 900\n",
"Doing 730 of 900\n",
"Doing 740 of 900\n",
"Doing 750 of 900\n",
"Doing 760 of 900\n",
"Doing 770 of 900\n",
"Doing 780 of 900\n",
"Doing 790 of 900\n",
"Doing 800 of 900\n",
"Doing 810 of 900\n",
"Doing 820 of 900\n",
"Doing 830 of 900\n",
"Doing 840 of 900\n",
"Doing 850 of 900\n",
"Doing 860 of 900\n",
"Doing 870 of 900\n",
"Doing 880 of 900\n",
"Doing 890 of 900\n",
"Doing 900 of 900\n"
]
}
],
"source": [
"ps = AllChem.ETKDGv3()\n",
"ps.randomSeed=0xf00d\n",
"ps.numThreads = 4\n",
"ps.pruneRmsThresh = 0.5\n",
"metric_etkdg50_rms_res = []\n",
"for i,m in enumerate(ms):\n",
" if not (i+1)%10:\n",
" print(f'Doing {i+1} of {len(ms)}')\n",
" m = Chem.Mol(m)\n",
" t1 = time.time()\n",
" AllChem.EmbedMultipleConfs(m,50,ps)\n",
" t2 = time.time()\n",
" metric_etkdg50_rms_res.append((t2-t1,m.GetNumConformers(),m,m.GetIntProp('RTB')))\n",
"with open('./results/random_coords_expt.pkl','wb+') as outf:\n",
" pickle.dump((metric_etkdg_res,random_etkdg_res,metric_etkdg50_res,random_etkdg50_res,\n",
" metric_etkdg50_rms_res,),outf)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 10 of 900\n",
"Doing 20 of 900\n",
"Doing 30 of 900\n",
"Doing 40 of 900\n",
"Doing 50 of 900\n",
"Doing 60 of 900\n",
"Doing 70 of 900\n",
"Doing 80 of 900\n",
"Doing 90 of 900\n",
"Doing 100 of 900\n",
"Doing 110 of 900\n",
"Doing 120 of 900\n",
"Doing 130 of 900\n",
"Doing 140 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [17:11:32] UFFTYPER: Unrecognized charge state for atom: 10\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 150 of 900\n",
"Doing 160 of 900\n",
"Doing 170 of 900\n",
"Doing 180 of 900\n",
"Doing 190 of 900\n",
"Doing 200 of 900\n",
"Doing 210 of 900\n",
"Doing 220 of 900\n",
"Doing 230 of 900\n",
"Doing 240 of 900\n",
"Doing 250 of 900\n",
"Doing 260 of 900\n",
"Doing 270 of 900\n",
"Doing 280 of 900\n",
"Doing 290 of 900\n",
"Doing 300 of 900\n",
"Doing 310 of 900\n",
"Doing 320 of 900\n",
"Doing 330 of 900\n",
"Doing 340 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [17:49:30] UFFTYPER: Unrecognized charge state for atom: 11\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 350 of 900\n",
"Doing 360 of 900\n",
"Doing 370 of 900\n",
"Doing 380 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [17:53:32] UFFTYPER: Unrecognized charge state for atom: 9\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 390 of 900\n",
"Doing 400 of 900\n",
"Doing 410 of 900\n",
"Doing 420 of 900\n",
"Doing 430 of 900\n",
"Doing 440 of 900\n",
"Doing 450 of 900\n",
"Doing 460 of 900\n",
"Doing 470 of 900\n",
"Doing 480 of 900\n",
"Doing 490 of 900\n",
"Doing 500 of 900\n",
"Doing 510 of 900\n",
"Doing 520 of 900\n",
"Doing 530 of 900\n",
"Doing 540 of 900\n",
"Doing 550 of 900\n",
"Doing 560 of 900\n",
"Doing 570 of 900\n",
"Doing 580 of 900\n",
"Doing 590 of 900\n",
"Doing 600 of 900\n",
"Doing 610 of 900\n",
"Doing 620 of 900\n",
"Doing 630 of 900\n",
"Doing 640 of 900\n",
"Doing 650 of 900\n",
"Doing 660 of 900\n",
"Doing 670 of 900\n",
"Doing 680 of 900\n",
"Doing 690 of 900\n",
"Doing 700 of 900\n",
"Doing 710 of 900\n",
"Doing 720 of 900\n",
"Doing 730 of 900\n",
"Doing 740 of 900\n",
"Doing 750 of 900\n",
"Doing 760 of 900\n",
"Doing 770 of 900\n",
"Doing 780 of 900\n",
"Doing 790 of 900\n",
"Doing 800 of 900\n",
"Doing 810 of 900\n",
"Doing 820 of 900\n",
"Doing 830 of 900\n",
"Doing 840 of 900\n",
"Doing 850 of 900\n",
"Doing 860 of 900\n",
"Doing 870 of 900\n",
"Doing 880 of 900\n",
"Doing 890 of 900\n",
"Doing 900 of 900\n"
]
}
],
"source": [
"ps = AllChem.ETKDGv3()\n",
"ps.randomSeed=0xf00d\n",
"ps.numThreads = 4\n",
"ps.useRandomCoords = True\n",
"ps.pruneRmsThresh = 0.5\n",
"\n",
"random_etkdg50_rms_res = []\n",
"for i,m in enumerate(ms):\n",
" if not (i+1)%10:\n",
" print(f'Doing {i+1} of {len(ms)}')\n",
" m = Chem.Mol(m)\n",
" t1 = time.time()\n",
" AllChem.EmbedMultipleConfs(m,50,ps)\n",
" t2 = time.time()\n",
" random_etkdg50_rms_res.append((t2-t1,m.GetNumConformers(),m,m.GetIntProp('RTB')))\n",
"with open('./results/random_coords_expt.pkl','wb+') as outf:\n",
" pickle.dump((metric_etkdg_res,random_etkdg_res,metric_etkdg50_res,random_etkdg50_res,\n",
" metric_etkdg50_rms_res,random_etkdg50_rms_res),outf)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 10 of 900\n",
"Doing 20 of 900\n",
"Doing 30 of 900\n",
"Doing 40 of 900\n",
"Doing 50 of 900\n",
"Doing 60 of 900\n",
"Doing 70 of 900\n",
"Doing 80 of 900\n",
"Doing 90 of 900\n",
"Doing 100 of 900\n",
"Doing 110 of 900\n",
"Doing 120 of 900\n",
"Doing 130 of 900\n",
"Doing 140 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [20:08:24] UFFTYPER: Unrecognized charge state for atom: 10\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 150 of 900\n",
"Doing 160 of 900\n",
"Doing 170 of 900\n",
"Doing 180 of 900\n",
"Doing 190 of 900\n",
"Doing 200 of 900\n",
"Doing 210 of 900\n",
"Doing 220 of 900\n",
"Doing 230 of 900\n",
"Doing 240 of 900\n",
"Doing 250 of 900\n",
"Doing 260 of 900\n",
"Doing 270 of 900\n",
"Doing 280 of 900\n",
"Doing 290 of 900\n",
"Doing 300 of 900\n",
"Doing 310 of 900\n",
"Doing 320 of 900\n",
"Doing 330 of 900\n",
"Doing 340 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [20:13:33] UFFTYPER: Unrecognized charge state for atom: 11\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 350 of 900\n",
"Doing 360 of 900\n",
"Doing 370 of 900\n",
"Doing 380 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [20:16:14] UFFTYPER: Unrecognized charge state for atom: 9\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 390 of 900\n",
"Doing 400 of 900\n",
"Doing 410 of 900\n",
"Doing 420 of 900\n",
"Doing 430 of 900\n",
"Doing 440 of 900\n",
"Doing 450 of 900\n",
"Doing 460 of 900\n",
"Doing 470 of 900\n",
"Doing 480 of 900\n",
"Doing 490 of 900\n",
"Doing 500 of 900\n",
"Doing 510 of 900\n",
"Doing 520 of 900\n",
"Doing 530 of 900\n",
"Doing 540 of 900\n",
"Doing 550 of 900\n",
"Doing 560 of 900\n",
"Doing 570 of 900\n",
"Doing 580 of 900\n",
"Doing 590 of 900\n",
"Doing 600 of 900\n",
"Doing 610 of 900\n",
"Doing 620 of 900\n",
"Doing 630 of 900\n",
"Doing 640 of 900\n",
"Doing 650 of 900\n",
"Doing 660 of 900\n",
"Doing 670 of 900\n",
"Doing 680 of 900\n",
"Doing 690 of 900\n",
"Doing 700 of 900\n",
"Doing 710 of 900\n",
"Doing 720 of 900\n",
"Doing 730 of 900\n",
"Doing 740 of 900\n",
"Doing 750 of 900\n",
"Doing 760 of 900\n",
"Doing 770 of 900\n",
"Doing 780 of 900\n",
"Doing 790 of 900\n",
"Doing 800 of 900\n",
"Doing 810 of 900\n",
"Doing 820 of 900\n",
"Doing 830 of 900\n",
"Doing 840 of 900\n",
"Doing 850 of 900\n",
"Doing 860 of 900\n",
"Doing 870 of 900\n",
"Doing 880 of 900\n",
"Doing 890 of 900\n",
"Doing 900 of 900\n"
]
}
],
"source": [
"ps = AllChem.ETKDGv3()\n",
"ps.randomSeed=0xf00d\n",
"ps.numThreads = 4\n",
"ps.enforceChirality = False\n",
"metric_etkdg50_nochiral_res = []\n",
"for i,m in enumerate(ms):\n",
" if not (i+1)%10:\n",
" print(f'Doing {i+1} of {len(ms)}')\n",
" m = Chem.Mol(m)\n",
" t1 = time.time()\n",
" AllChem.EmbedMultipleConfs(m,50,ps)\n",
" t2 = time.time()\n",
" metric_etkdg50_nochiral_res.append((t2-t1,m.GetNumConformers(),m,m.GetIntProp('RTB')))\n",
"with open('./results/random_coords_expt.pkl','wb+') as outf:\n",
" pickle.dump((metric_etkdg_res,random_etkdg_res,metric_etkdg50_res,random_etkdg50_res,\n",
" metric_etkdg50_rms_res,random_etkdg50_rms_res,metric_etkdg50_nochiral_res,),outf)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 10 of 900\n",
"Doing 20 of 900\n",
"Doing 30 of 900\n",
"Doing 40 of 900\n",
"Doing 50 of 900\n",
"Doing 60 of 900\n",
"Doing 70 of 900\n",
"Doing 80 of 900\n",
"Doing 90 of 900\n",
"Doing 100 of 900\n",
"Doing 110 of 900\n",
"Doing 120 of 900\n",
"Doing 130 of 900\n",
"Doing 140 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [21:03:45] UFFTYPER: Unrecognized charge state for atom: 10\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 150 of 900\n",
"Doing 160 of 900\n",
"Doing 170 of 900\n",
"Doing 180 of 900\n",
"Doing 190 of 900\n",
"Doing 200 of 900\n",
"Doing 210 of 900\n",
"Doing 220 of 900\n",
"Doing 230 of 900\n",
"Doing 240 of 900\n",
"Doing 250 of 900\n",
"Doing 260 of 900\n",
"Doing 270 of 900\n",
"Doing 280 of 900\n",
"Doing 290 of 900\n",
"Doing 300 of 900\n",
"Doing 310 of 900\n",
"Doing 320 of 900\n",
"Doing 330 of 900\n",
"Doing 340 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [21:09:44] UFFTYPER: Unrecognized charge state for atom: 11\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 350 of 900\n",
"Doing 360 of 900\n",
"Doing 370 of 900\n",
"Doing 380 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [21:12:47] UFFTYPER: Unrecognized charge state for atom: 9\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 390 of 900\n",
"Doing 400 of 900\n",
"Doing 410 of 900\n",
"Doing 420 of 900\n",
"Doing 430 of 900\n",
"Doing 440 of 900\n",
"Doing 450 of 900\n",
"Doing 460 of 900\n",
"Doing 470 of 900\n",
"Doing 480 of 900\n",
"Doing 490 of 900\n",
"Doing 500 of 900\n",
"Doing 510 of 900\n",
"Doing 520 of 900\n",
"Doing 530 of 900\n",
"Doing 540 of 900\n",
"Doing 550 of 900\n",
"Doing 560 of 900\n",
"Doing 570 of 900\n",
"Doing 580 of 900\n",
"Doing 590 of 900\n",
"Doing 600 of 900\n",
"Doing 610 of 900\n",
"Doing 620 of 900\n",
"Doing 630 of 900\n",
"Doing 640 of 900\n",
"Doing 650 of 900\n",
"Doing 660 of 900\n",
"Doing 670 of 900\n",
"Doing 680 of 900\n",
"Doing 690 of 900\n",
"Doing 700 of 900\n",
"Doing 710 of 900\n",
"Doing 720 of 900\n",
"Doing 730 of 900\n",
"Doing 740 of 900\n",
"Doing 750 of 900\n",
"Doing 760 of 900\n",
"Doing 770 of 900\n",
"Doing 780 of 900\n",
"Doing 790 of 900\n",
"Doing 800 of 900\n",
"Doing 810 of 900\n",
"Doing 820 of 900\n",
"Doing 830 of 900\n",
"Doing 840 of 900\n",
"Doing 850 of 900\n",
"Doing 860 of 900\n",
"Doing 870 of 900\n",
"Doing 880 of 900\n",
"Doing 890 of 900\n",
"Doing 900 of 900\n"
]
}
],
"source": [
"ps = AllChem.ETKDGv3()\n",
"ps.randomSeed=0xf00d\n",
"ps.numThreads = 4\n",
"ps.useRandomCoords = True\n",
"ps.enforceChirality = False\n",
"\n",
"random_etkdg50_nochiral_res = []\n",
"for i,m in enumerate(ms):\n",
" if not (i+1)%10:\n",
" print(f'Doing {i+1} of {len(ms)}')\n",
" m = Chem.Mol(m)\n",
" t1 = time.time()\n",
" AllChem.EmbedMultipleConfs(m,50,ps)\n",
" t2 = time.time()\n",
" random_etkdg50_nochiral_res.append((t2-t1,m.GetNumConformers(),m,m.GetIntProp('RTB')))\n",
"with open('./results/random_coords_expt.pkl','wb+') as outf:\n",
" pickle.dump((metric_etkdg_res,random_etkdg_res,metric_etkdg50_res,random_etkdg50_res,\n",
" metric_etkdg50_rms_res,random_etkdg50_rms_res,metric_etkdg50_nochiral_res,\n",
" random_etkdg50_nochiral_res),outf)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 10 of 900\n",
"Doing 20 of 900\n",
"Doing 30 of 900\n",
"Doing 40 of 900\n",
"Doing 50 of 900\n",
"Doing 60 of 900\n",
"Doing 70 of 900\n",
"Doing 80 of 900\n",
"Doing 90 of 900\n",
"Doing 100 of 900\n",
"Doing 110 of 900\n",
"Doing 120 of 900\n",
"Doing 130 of 900\n",
"Doing 140 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [23:01:32] UFFTYPER: Unrecognized charge state for atom: 10\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 150 of 900\n",
"Doing 160 of 900\n",
"Doing 170 of 900\n",
"Doing 180 of 900\n",
"Doing 190 of 900\n",
"Doing 200 of 900\n",
"Doing 210 of 900\n",
"Doing 220 of 900\n",
"Doing 230 of 900\n",
"Doing 240 of 900\n",
"Doing 250 of 900\n",
"Doing 260 of 900\n",
"Doing 270 of 900\n",
"Doing 280 of 900\n",
"Doing 290 of 900\n",
"Doing 300 of 900\n",
"Doing 310 of 900\n",
"Doing 320 of 900\n",
"Doing 330 of 900\n",
"Doing 340 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [23:40:42] UFFTYPER: Unrecognized charge state for atom: 11\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 350 of 900\n",
"Doing 360 of 900\n",
"Doing 370 of 900\n",
"Doing 380 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [23:44:42] UFFTYPER: Unrecognized charge state for atom: 9\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 390 of 900\n",
"Doing 400 of 900\n",
"Doing 410 of 900\n",
"Doing 420 of 900\n",
"Doing 430 of 900\n",
"Doing 440 of 900\n",
"Doing 450 of 900\n",
"Doing 460 of 900\n",
"Doing 470 of 900\n",
"Doing 480 of 900\n",
"Doing 490 of 900\n",
"Doing 500 of 900\n",
"Doing 510 of 900\n",
"Doing 520 of 900\n",
"Doing 530 of 900\n",
"Doing 540 of 900\n",
"Doing 550 of 900\n",
"Doing 560 of 900\n",
"Doing 570 of 900\n",
"Doing 580 of 900\n",
"Doing 590 of 900\n",
"Doing 600 of 900\n",
"Doing 610 of 900\n",
"Doing 620 of 900\n",
"Doing 630 of 900\n",
"Doing 640 of 900\n",
"Doing 650 of 900\n",
"Doing 660 of 900\n",
"Doing 670 of 900\n",
"Doing 680 of 900\n",
"Doing 690 of 900\n",
"Doing 700 of 900\n",
"Doing 710 of 900\n",
"Doing 720 of 900\n",
"Doing 730 of 900\n",
"Doing 740 of 900\n",
"Doing 750 of 900\n",
"Doing 760 of 900\n",
"Doing 770 of 900\n",
"Doing 780 of 900\n",
"Doing 790 of 900\n",
"Doing 800 of 900\n",
"Doing 810 of 900\n",
"Doing 820 of 900\n",
"Doing 830 of 900\n",
"Doing 840 of 900\n",
"Doing 850 of 900\n",
"Doing 860 of 900\n",
"Doing 870 of 900\n",
"Doing 880 of 900\n",
"Doing 890 of 900\n",
"Doing 900 of 900\n"
]
}
],
"source": [
"ps = AllChem.ETKDGv3()\n",
"ps.randomSeed=0xf00d\n",
"ps.numThreads = 4\n",
"ps.useRandomCoords = True\n",
"ps.boxSizeMult = 1.0\n",
"\n",
"random_etkdg50_box1_res = []\n",
"for i,m in enumerate(ms):\n",
" if not (i+1)%10:\n",
" print(f'Doing {i+1} of {len(ms)}')\n",
" m = Chem.Mol(m)\n",
" t1 = time.time()\n",
" AllChem.EmbedMultipleConfs(m,50,ps)\n",
" t2 = time.time()\n",
" random_etkdg50_box1_res.append((t2-t1,m.GetNumConformers(),m,m.GetIntProp('RTB')))\n",
"with open('./results/random_coords_expt.pkl','wb+') as outf:\n",
" pickle.dump((metric_etkdg_res,random_etkdg_res,metric_etkdg50_res,random_etkdg50_res,\n",
" metric_etkdg50_rms_res,random_etkdg50_rms_res,metric_etkdg50_nochiral_res,\n",
" random_etkdg50_nochiral_res, random_etkdg50_box1_res),outf)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 10 of 900\n",
"Doing 20 of 900\n",
"Doing 30 of 900\n",
"Doing 40 of 900\n",
"Doing 50 of 900\n",
"Doing 60 of 900\n",
"Doing 70 of 900\n",
"Doing 80 of 900\n",
"Doing 90 of 900\n",
"Doing 100 of 900\n",
"Doing 110 of 900\n",
"Doing 120 of 900\n",
"Doing 130 of 900\n",
"Doing 140 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [02:43:34] UFFTYPER: Unrecognized charge state for atom: 10\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 150 of 900\n",
"Doing 160 of 900\n",
"Doing 170 of 900\n",
"Doing 180 of 900\n",
"Doing 190 of 900\n",
"Doing 200 of 900\n",
"Doing 210 of 900\n",
"Doing 220 of 900\n",
"Doing 230 of 900\n",
"Doing 240 of 900\n",
"Doing 250 of 900\n",
"Doing 260 of 900\n",
"Doing 270 of 900\n",
"Doing 280 of 900\n",
"Doing 290 of 900\n",
"Doing 300 of 900\n",
"Doing 310 of 900\n",
"Doing 320 of 900\n",
"Doing 330 of 900\n",
"Doing 340 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [03:22:12] UFFTYPER: Unrecognized charge state for atom: 11\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 350 of 900\n",
"Doing 360 of 900\n",
"Doing 370 of 900\n",
"Doing 380 of 900\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"RDKit ERROR: [03:26:06] UFFTYPER: Unrecognized charge state for atom: 9\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Doing 390 of 900\n",
"Doing 400 of 900\n",
"Doing 410 of 900\n",
"Doing 420 of 900\n",
"Doing 430 of 900\n",
"Doing 440 of 900\n",
"Doing 450 of 900\n",
"Doing 460 of 900\n",
"Doing 470 of 900\n",
"Doing 480 of 900\n",
"Doing 490 of 900\n",
"Doing 500 of 900\n",
"Doing 510 of 900\n",
"Doing 520 of 900\n",
"Doing 530 of 900\n",
"Doing 540 of 900\n",
"Doing 550 of 900\n",
"Doing 560 of 900\n",
"Doing 570 of 900\n",
"Doing 580 of 900\n",
"Doing 590 of 900\n",
"Doing 600 of 900\n",
"Doing 610 of 900\n",
"Doing 620 of 900\n",
"Doing 630 of 900\n",
"Doing 640 of 900\n",
"Doing 650 of 900\n",
"Doing 660 of 900\n",
"Doing 670 of 900\n",
"Doing 680 of 900\n",
"Doing 690 of 900\n",
"Doing 700 of 900\n",
"Doing 710 of 900\n",
"Doing 720 of 900\n",
"Doing 730 of 900\n",
"Doing 740 of 900\n",
"Doing 750 of 900\n",
"Doing 760 of 900\n",
"Doing 770 of 900\n",
"Doing 780 of 900\n",
"Doing 790 of 900\n",
"Doing 800 of 900\n",
"Doing 810 of 900\n",
"Doing 820 of 900\n",
"Doing 830 of 900\n",
"Doing 840 of 900\n",
"Doing 850 of 900\n",
"Doing 860 of 900\n",
"Doing 870 of 900\n",
"Doing 880 of 900\n",
"Doing 890 of 900\n",
"Doing 900 of 900\n"
]
}
],
"source": [
"ps = AllChem.ETKDGv3()\n",
"ps.randomSeed=0xf00d\n",
"ps.numThreads = 4\n",
"ps.useRandomCoords = True\n",
"ps.boxSizeMult = 0.5\n",
"\n",
"random_etkdg50_box2_res = []\n",
"for i,m in enumerate(ms):\n",
" if not (i+1)%10:\n",
" print(f'Doing {i+1} of {len(ms)}')\n",
" m = Chem.Mol(m)\n",
" t1 = time.time()\n",
" AllChem.EmbedMultipleConfs(m,50,ps)\n",
" t2 = time.time()\n",
" random_etkdg50_box2_res.append((t2-t1,m.GetNumConformers(),m,m.GetIntProp('RTB')))\n",
"with open('./results/random_coords_expt.pkl','wb+') as outf:\n",
" pickle.dump((metric_etkdg_res,random_etkdg_res,metric_etkdg50_res,random_etkdg50_res,\n",
" metric_etkdg50_rms_res,random_etkdg50_rms_res,metric_etkdg50_nochiral_res,\n",
" random_etkdg50_nochiral_res, random_etkdg50_box1_res, random_etkdg50_box2_res),outf)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Do the Analysis"
]
},
{
"cell_type": "code",
"execution_count": 170,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figsize(15,6)\n",
"\n",
"nrots = sorted(set(x[-1] for x in metric_etkdg_res))\n",
"\n",
"subplot(1,2,1)\n",
"for nrot in nrots:\n",
" xp = [x[0] for x in metric_etkdg_res if x[-1]==nrot]\n",
" yp = [x[0] for x in random_etkdg_res if x[-1]==nrot]\n",
" scatter(xp,yp,label=str(nrot))\n",
"legend();\n",
"xlim(0,3.5);\n",
"ylim(0,4);\n",
"plot((0,4),(0,4))\n",
"xlabel('metric')\n",
"ylabel('random coords');\n",
"title('zoom');\n",
"\n",
"subplot(1,2,2)\n",
"for nrot in nrots:\n",
" xp = [x[0] for x in metric_etkdg_res if x[-1]==nrot]\n",
" yp = [x[0] for x in random_etkdg_res if x[-1]==nrot]\n",
" scatter(xp,yp,label=str(nrot))\n",
"legend();\n",
"xlabel('metric')\n",
"ylabel('random coords');\n",
"title('full range');"
]
},
{
"cell_type": "code",
"execution_count": 171,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figsize(15,6)\n",
"nrots = sorted(set(x[-1] for x in metric_etkdg_res))\n",
"\n",
"subplot(1,2,1)\n",
"for nrot in nrots:\n",
" xp = [x[0] for x in metric_etkdg50_res if x[-1]==nrot]\n",
" yp = [x[0] for x in random_etkdg50_res if x[-1]==nrot]\n",
" scatter(xp,yp,label=str(nrot))\n",
"legend();\n",
"xlim(0,50);\n",
"ylim(0,80);\n",
"plot((0,35),(0,35))\n",
"title('time (s)')\n",
"xlabel('metric')\n",
"ylabel('random coords');\n",
"title('zoom');\n",
"\n",
"subplot(1,2,2)\n",
"for nrot in nrots:\n",
" xp = [x[0] for x in metric_etkdg50_res if x[-1]==nrot]\n",
" yp = [x[0] for x in random_etkdg50_res if x[-1]==nrot]\n",
" scatter(xp,yp,label=str(nrot))\n",
"legend();\n",
"#xlim(0,25);\n",
"#ylim(0,35);\n",
"plot((0,500),(0,500))\n",
"title('time (s)')\n",
"xlabel('metric')\n",
"ylabel('random coords');\n",
"title('full range');"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"number of mols with below 50 conformers:\n",
" -14 rotatable bonds, metric: 8 random: 0\n",
" -10 rotatable bonds, metric: 1 random: 1\n",
" 1 rotatable bonds, metric: 2 random: 2\n",
" 2 rotatable bonds, metric: 2 random: 2\n",
" 5 rotatable bonds, metric: 1 random: 1\n",
" 10 rotatable bonds, metric: 4 random: 0\n",
" 15 rotatable bonds, metric: 10 random: 0\n",
" 20 rotatable bonds, metric: 27 random: 0\n",
" 25 rotatable bonds, metric: 28 random: 0\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figsize(7.5,6)\n",
"nrots = sorted(set(x[-1] for x in metric_etkdg_res))\n",
"print(f'number of mols with below 50 conformers:')\n",
"for nrot in nrots:\n",
" xp = [x[1] for x in metric_etkdg50_res if x[-1]==nrot]\n",
" yp = [x[1] for x in random_etkdg50_res if x[-1]==nrot]\n",
" print(f' {nrot} rotatable bonds, metric: {len([1 for x in xp if x!=50])} random: {len([1 for x in yp if x!=50])}')\n",
" scatter(xp,yp,label=str(nrot))\n",
"legend();\n",
"#xlim(0,30);\n",
"#ylim(0,40);\n",
"#plot((0,30),(0,30))\n",
"title('num confs generated out of 50')\n",
"xlabel('metric')\n",
"ylabel('random coords');"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"number of mols with below 50 conformers:\n",
" -14 rotatable bonds, metric: 31 random: 17\n",
" -10 rotatable bonds, metric: 85 random: 83\n",
" 1 rotatable bonds, metric: 99 random: 99\n",
" 2 rotatable bonds, metric: 100 random: 100\n",
" 5 rotatable bonds, metric: 93 random: 85\n",
" 10 rotatable bonds, metric: 32 random: 19\n",
" 15 rotatable bonds, metric: 13 random: 1\n",
" 20 rotatable bonds, metric: 27 random: 0\n",
" 25 rotatable bonds, metric: 28 random: 0\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figsize(7.5,6)\n",
"nrots = sorted(set(x[-1] for x in metric_etkdg_res))\n",
"print(f'number of mols with below 50 conformers:')\n",
"for nrot in nrots:\n",
" xp = [x[1] for x in metric_etkdg50_rms_res if x[-1]==nrot]\n",
" yp = [x[1] for x in random_etkdg50_rms_res if x[-1]==nrot]\n",
" print(f' {nrot} rotatable bonds, metric: {len([1 for x in xp if x!=50])} random: {len([1 for x in yp if x!=50])}')\n",
" scatter(xp,yp,label=str(nrot))\n",
"legend();\n",
"#xlim(0,30);\n",
"#ylim(0,40);\n",
"plot((0,50),(0,50))\n",
"title('num diverse confs generated out of 50')\n",
"xlabel('metric')\n",
"ylabel('random coords');"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"number of mols with below 50 conformers:\n",
" -14 rotatable bonds, metric: 6 random: 0\n",
" -10 rotatable bonds, metric: 0 random: 0\n",
" 1 rotatable bonds, metric: 0 random: 0\n",
" 2 rotatable bonds, metric: 0 random: 0\n",
" 5 rotatable bonds, metric: 0 random: 0\n",
" 10 rotatable bonds, metric: 2 random: 0\n",
" 15 rotatable bonds, metric: 9 random: 0\n",
" 20 rotatable bonds, metric: 26 random: 0\n",
" 25 rotatable bonds, metric: 21 random: 0\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figsize(7.5,6)\n",
"nrots = sorted(set(x[-1] for x in metric_etkdg_res))\n",
"print(f'number of mols with below 50 conformers:')\n",
"for nrot in nrots:\n",
" xp = [x[1] for x in metric_etkdg50_nochiral_res if x[-1]==nrot]\n",
" yp = [x[1] for x in random_etkdg50_nochiral_res if x[-1]==nrot]\n",
" print(f' {nrot} rotatable bonds, metric: {len([1 for x in xp if x!=50])} random: {len([1 for x in yp if x!=50])}')\n",
" scatter(xp,yp,label=str(nrot))\n",
"legend();\n",
"#xlim(0,30);\n",
"#ylim(0,40);\n",
"#plot((0,30),(0,30))\n",
"title('num nochiral confs generated out of 50')\n",
"xlabel('metric')\n",
"ylabel('random coords');\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The random coordinate embedding produces 50 conformers in almost every case, while there are a significant number of examples where metric embedding is unable to produce all 50 conformers."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Time per conformer generated"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figsize(15,6)\n",
"nrots = sorted(set(x[-1] for x in metric_etkdg_res))\n",
"\n",
"subplot(1,2,1)\n",
"for nrot in nrots:\n",
" keep = [i for i,(x,y) in enumerate(zip(metric_etkdg50_res,random_etkdg50_res)) if x[-1]==nrot and x[1]!=0 and y[1]!=0]\n",
" xp = [metric_etkdg50_res[x][0]/metric_etkdg50_res[x][1] for x in keep]\n",
" yp = [random_etkdg50_res[x][0]/random_etkdg50_res[x][1] for x in keep]\n",
" scatter(xp,yp,label=str(nrot))\n",
"legend();\n",
"xlim(0,1.5);\n",
"ylim(0,1.2);\n",
"plot((0,.8),(0,.8))\n",
"title('time per conformer produced (4 threads)')\n",
"xlabel('metric')\n",
"ylabel('random coords');\n",
"\n",
"subplot(1,2,2)\n",
"for nrot in nrots:\n",
" keep = [i for i,(x,y) in enumerate(zip(metric_etkdg50_rms_res,random_etkdg50_rms_res)) if x[-1]==nrot and x[1]!=0 and y[1]!=0]\n",
" xp = [metric_etkdg50_res[x][0]/metric_etkdg50_rms_res[x][1] for x in keep]\n",
" yp = [random_etkdg50_res[x][0]/random_etkdg50_rms_res[x][1] for x in keep]\n",
" scatter(xp,yp,label=str(nrot))\n",
"legend();\n",
"xlim(0,1.5);\n",
"ylim(0,2);\n",
"plot((0,1),(0,1))\n",
"title('time per diverse conformer produced (4 threads)')\n",
"xlabel('metric')\n",
"ylabel('random coords');\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Look at the same thing without cropping outliers."
]
},
{
"cell_type": "code",
"execution_count": 173,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figsize(15,6)\n",
"nrots = sorted(set(x[-1] for x in metric_etkdg_res))\n",
"\n",
"subplot(1,2,1)\n",
"for nrot in nrots:\n",
" keep = [i for i,(x,y) in enumerate(zip(metric_etkdg50_res,random_etkdg50_res)) if x[-1]==nrot and x[1]!=0 and y[1]!=0]\n",
" xp = [metric_etkdg50_res[x][0]/metric_etkdg50_res[x][1] for x in keep]\n",
" yp = [random_etkdg50_res[x][0]/random_etkdg50_res[x][1] for x in keep]\n",
" scatter(xp,yp,label=str(nrot))\n",
"legend();\n",
"plot((0,3.5),(0,3.5))\n",
"title('time per conformer produced (4 threads)')\n",
"xlabel('metric')\n",
"ylabel('random coords');\n",
"\n",
"subplot(1,2,2)\n",
"for nrot in nrots:\n",
" keep = [i for i,(x,y) in enumerate(zip(metric_etkdg50_rms_res,random_etkdg50_rms_res)) if x[-1]==nrot and x[1]!=0 and y[1]!=0]\n",
" xp = [metric_etkdg50_res[x][0]/metric_etkdg50_rms_res[x][1] for x in keep]\n",
" yp = [random_etkdg50_res[x][0]/random_etkdg50_rms_res[x][1] for x in keep]\n",
" scatter(xp,yp,label=str(nrot))\n",
"legend();\n",
"plot((0,3.5),(0,3.5))\n",
"title('time per diverse conformer produced (4 threads)')\n",
"xlabel('metric')\n",
"ylabel('random coords');\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that these times per conformer cannot be directly compared to the time to generate a single conformer since these were run using multiple threads."
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figsize(7.5,6)\n",
"nrots = sorted(set(x[-1] for x in metric_etkdg_res))\n",
"for nrot in nrots:\n",
" xp = [x[0] for x in metric_etkdg50_nochiral_res if x[-1]==nrot]\n",
" yp = [x[0] for x in random_etkdg50_nochiral_res if x[-1]==nrot]\n",
" scatter(xp,yp,label=str(nrot))\n",
"legend();\n",
"#xlim(0,30);\n",
"#ylim(0,40);\n",
"plot((0,15),(0,15))\n",
"title('nochiral time(s)')\n",
"xlabel('metric')\n",
"ylabel('random coords');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"General impact of ignoring chirality"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"nrots = sorted(set(x[-1] for x in metric_etkdg_res))\n",
"figsize(15,6)\n",
"subplot(1,2,1)\n",
"for nrot in nrots:\n",
" xp = [x[0] for x in metric_etkdg50_res if x[-1]==nrot]\n",
" yp = [x[0] for x in metric_etkdg50_nochiral_res if x[-1]==nrot]\n",
" scatter(xp,yp,label=str(nrot))\n",
"legend();\n",
"xlim(0,50);\n",
"ylim(0,30);\n",
"plot((0,30),(0,30))\n",
"title('metric embedding time(s)')\n",
"xlabel('chiral')\n",
"ylabel('nochiral');\n",
"\n",
"subplot(1,2,2)\n",
"for nrot in nrots:\n",
" xp = [x[0] for x in random_etkdg50_res if x[-1]==nrot]\n",
" yp = [x[0] for x in random_etkdg50_nochiral_res if x[-1]==nrot]\n",
" scatter(xp,yp,label=str(nrot))\n",
"legend();\n",
"xlim(0,50);\n",
"ylim(0,40);\n",
"plot((0,40),(0,40))\n",
"title('random embedding time(s)')\n",
"xlabel('chiral')\n",
"ylabel('nochiral');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Impact of box size on random embedding"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"nrots = sorted(set(x[-1] for x in metric_etkdg_res))\n",
"figsize(15,6)\n",
"subplot(1,2,1)\n",
"for nrot in nrots:\n",
" xp = [x[0] for x in random_etkdg50_res if x[-1]==nrot]\n",
" yp = [x[0] for x in random_etkdg50_box1_res if x[-1]==nrot]\n",
" scatter(xp,yp,label=str(nrot))\n",
"legend();\n",
"xlim(0,80);\n",
"ylim(0,80);\n",
"plot((0,60),(0,60))\n",
"title('random embedding time(s)')\n",
"xlabel('mult=2 (default)')\n",
"ylabel('mult=1');\n",
" \n",
" \n",
"subplot(1,2,2)\n",
"for nrot in nrots:\n",
" xp = [x[0] for x in random_etkdg50_res if x[-1]==nrot]\n",
" yp = [x[0] for x in random_etkdg50_box2_res if x[-1]==nrot]\n",
" scatter(xp,yp,label=str(nrot))\n",
"legend();\n",
"xlim(0,80);\n",
"ylim(0,80);\n",
"plot((0,60),(0,60))\n",
"title('random embedding time(s)')\n",
"xlabel('mult=2 (default)')\n",
"ylabel('mult=0.5');\n",
" \n",
" "
]
},
{
"cell_type": "code",
"execution_count": 135,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def set_box_color(bp, color):\n",
" setp(bp['boxes'], color=color)\n",
" setp(bp['whiskers'], color=color)\n",
" setp(bp['caps'], color=color)\n",
" setp(bp['medians'], color=color)\n",
" setp(bp['fliers'], markeredgecolor=color)\n",
"\n",
"figsize(15,6)\n",
"\n",
"ax = axes()\n",
"ax.set_yscale('log');\n",
"ax.set_ylabel('time(s)')\n",
"ax.set_xlabel('nrot')\n",
"\n",
"nrots = sorted(set(x[-1] for x in metric_etkdg_res))\n",
"d = [[x[0] for x in metric_etkdg50_res if x[-1]==nrot] for nrot in nrots]\n",
"bp = ax.boxplot(d,positions = [3*x for x in range(len(d))]);\n",
"set_box_color(bp,'r')\n",
"\n",
"d = [[x[0] for x in random_etkdg50_res if x[-1]==nrot] for nrot in nrots]\n",
"bp = ax.boxplot(d,positions = [3*x+.5 for x in range(len(d))]);\n",
"set_box_color(bp,'b')\n",
"\n",
"d = [[x[0] for x in random_etkdg50_nochiral_res if x[-1]==nrot] for nrot in nrots]\n",
"bp = ax.boxplot(d,positions = [3*x+1 for x in range(len(d))]);\n",
"set_box_color(bp,'c')\n",
"\n",
"d = [[x[0] for x in random_etkdg50_box1_res if x[-1]==nrot] for nrot in nrots]\n",
"bp = ax.boxplot(d,positions = [3*x+1.5 for x in range(len(d))]);\n",
"set_box_color(bp,'m')\n",
"\n",
"d = [[x[0] for x in random_etkdg50_box2_res if x[-1]==nrot] for nrot in nrots]\n",
"bp = ax.boxplot(d,positions = [3*x+2 for x in range(len(d))]);\n",
"set_box_color(bp,'y')\n",
"\n",
"#set_axis_style(ax, [str(x) for x in nrots])\n",
"ticks = [str(x) for x in nrots]\n",
"xticks(np.arange(0, len(ticks) * 3, 3)+1, ticks);\n",
"\n",
"\n",
"\n",
"plot([], c='r', label='metric')\n",
"plot([], c='b', label='random')\n",
"plot([], c='c', label='random-nochiral')\n",
"plot([], c='m', label='random-box1')\n",
"plot([], c='y', label='random-box0.5')\n",
"\n",
"legend();\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 174,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def set_box_color(bp, color):\n",
" setp(bp['boxes'], color=color)\n",
" setp(bp['whiskers'], color=color)\n",
" setp(bp['caps'], color=color)\n",
" setp(bp['medians'], color=color)\n",
" setp(bp['fliers'], markeredgecolor=color)\n",
"\n",
"figsize(15,6)\n",
"\n",
"ax = axes()\n",
"ax.set_yscale('log');\n",
"ax.set_ylabel('time per conformer (s)')\n",
"ax.set_xlabel('nrot')\n",
"\n",
"nrots = sorted(set(x[-1] for x in metric_etkdg_res))\n",
"d = [[x[0]/x[2].GetNumConformers() for x in metric_etkdg50_res if x[-1]==nrot and x[2].GetNumConformers()!=0] for nrot in nrots]\n",
"bp = ax.boxplot(d,positions = [3*x for x in range(len(d))]);\n",
"set_box_color(bp,'r')\n",
"\n",
"d = [[x[0]/x[2].GetNumConformers() for x in metric_etkdg50_rms_res if x[-1]==nrot and x[2].GetNumConformers()!=0] for nrot in nrots]\n",
"bp = ax.boxplot(d,positions = [3*x+.5 for x in range(len(d))]);\n",
"set_box_color(bp,'c')\n",
"\n",
"d = [[x[0]/x[2].GetNumConformers() for x in random_etkdg50_res if x[-1]==nrot and x[2].GetNumConformers()!=0] for nrot in nrots]\n",
"bp = ax.boxplot(d,positions = [3*x+1 for x in range(len(d))]);\n",
"set_box_color(bp,'b')\n",
"\n",
"d = [[x[0]/x[2].GetNumConformers() for x in random_etkdg50_rms_res if x[-1]==nrot and x[2].GetNumConformers()!=0] for nrot in nrots]\n",
"bp = ax.boxplot(d,positions = [3*x+1.5 for x in range(len(d))]);\n",
"set_box_color(bp,'m')\n",
"\n",
"\n",
"#set_axis_style(ax, [str(x) for x in nrots])\n",
"ticks = [str(x) for x in nrots]\n",
"xticks(np.arange(0, len(ticks) * 3, 3)+1, ticks);\n",
"\n",
"\n",
"\n",
"plot([], c='r', label='metric')\n",
"plot([], c='c', label='metric-diverse')\n",
"plot([], c='b', label='random')\n",
"plot([], c='m', label='random-diverse')\n",
"\n",
"legend();\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Look at some of the troublesome structures\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Which ones couldn't we generate conformers for?"
]
},
{
"cell_type": "code",
"execution_count": 142,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"metric: 13, random embedding: 13, overlap: 13\n"
]
}
],
"source": [
"no_confs_metric_etkdg50 = set([i for i,x in enumerate(metric_etkdg50_res) if x[2].GetNumConformers()==0])\n",
"no_confs_random_etkdg50 = set([i for i,x in enumerate(metric_etkdg50_res) if x[2].GetNumConformers()==0])\n",
"print(f'metric: {len(no_confs_metric_etkdg50)}, random embedding: {len(no_confs_random_etkdg50)}, overlap: {len(no_confs_metric_etkdg50.union(no_confs_random_etkdg50))}')"
]
},
{
"cell_type": "code",
"execution_count": 152,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"execution_count": 152,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dms = [Chem.RemoveHs(ms[i]) for i in no_confs_metric_etkdg50]\n",
"dms = [m for m in dms if m.GetNumAtoms()<75]\n",
"Draw.MolsToGridImage(dms,subImgSize=(300,250),molsPerRow=3,\n",
" legends=[m.GetProp('_Name') for m in dms])"
]
},
{
"cell_type": "code",
"execution_count": 158,
"metadata": {
"scrolled": false
},
"outputs": [
{
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