昨天写了武汉肺炎疫情诊断分析,用国外的确诊数,可以反推国内的感染数。本来还有一篇预报分析,谈未来走向,原准备下周末写,不奈23日以来,不少文章冠以题目:
开始觉得有点危言耸听。架不住连篇累牍,我就认真看了一下,发现说法源于同一个出处,一份来自英国兰开斯特大学的武汉肺炎疫情预估报告。文章预估2月4日将是武汉肺炎的一个峰值:感染数或过,19万,24万,云云。
既然如此,我就把我计划写的预报文章,挪到今天,看看我的预报结果与其文是否吻合?或许可以纠正其夸大的说法,也未可知?
我的外推预报:
我不懂医学,不懂疫情,这没关系,我可以用逻辑法,了解到疫情目前的状态以及发展趋势,外推出未来的态势:
图(1)
图(1)中,蓝色柱体表示全国每日确诊人数,从1月11日有资料开始,到1月25日。红色实线为增长率。可以看到,最近十天,增长率在50%上下,开始几天,11日到15日,确诊人数不变,增长率为零。
![](data:image/jpeg;base64,iVBORw0KGgoAAAANSUhEUgAAAdEAAALUCAYAAABU5gi1AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAIcpSURBVHhe7Z2/ru06cuZv0PNA7c62X2Kiiwt0aGA78BM0MEEHfoDj0Gg4mheYxMedDIwBBnDS7mjcyZ2kgQEcOHa8R/wnFYtVFElxieTS9wE/3L20KC6piqpP1Fr38If/83/+zxcAAAAA6rEmCkEQBEFQnWCiEARBENQomCgEQRAENQomCkEQBEGNgolCEARBUKNgohAEQRDUKJgoBEEQBDUKJgpBEARBjYKJQhAEQVCjYKIQBEEQ1CiYKARBEAQ1CiYKQdAU+v75w9cPP3g+vn397LdThTYf3+i7378+t22f3/1LCLpRMNFF9fO3j6PgeN6riPz89e0jnNvnViYb9PO3r48fPr6ieqvKFeIopt0DenzGta5JbBSzKRONMTemWNTgssduY17WJ9e5ibIcbQdSYrzD9f3zOMbWsQxNK5joimKFylFqFockI+5JTQFNFBWejSrXic2hpHBFxTjQy0SlfF3qm5rJx9fnZ0EeRYMpNVFmXjmzeqWJRn378V7zeXxMqWx9f5eusRKE6zBjouK4KwJmPItgoqtJNNBA3YV1n4kKs7wEWnxK2nskMxJjpMcmF4czr2svgoWcnt/n17eSPBpTosXc9ltoojyeuaDUmBrTmYlGeSLvx/nL3EzCRKEXCCa6lArMJTdLYJrTRPks8gS1oAufKcXmtLBmivKmESYa5W17vyiPF0yU95/z0K3xi0w0Ptb4GI5cf3zb4qF9JEwUeoFgoqtIml3ZQiOZTtkFVlUcS8SKVIuJVheV3EGzmH1uHxDVt6So+gKYbNfjeb+JamYSx1gMCz0v26DERKXxJWP3rzXRJNYx+/4n7fKcXw9xHpX2fDyddRoUHXvcd/7GIVbRMUK3Cya6gOSZBr2IJJPKz6CM7jPRQ9FnsqKRnKdQVGqP2baXGglFmTZLjkUpWmeFLeqnKMDMtJJ9aK5JjqMCr+SenrPtt8BEpZs3hVea6LWbFZoXc84sPqXmGB3ryfVVErftg8pNlF3jJ4YL3SeY6NTSZgFSQVdme5nCnRpS+awjwXxOgYnSokHfT4ukcI4F/ZdIKshSmNJ25zcmkaRCmslHkaIYkBhp26loG3sc5yYqxUrD7v8KEy0xpCwhHvQaOWIUnWPx9aLEOOiSiSrXMuXqOIK6CSY6qdKZUCB38WoXn1z87zdRenzkmE4KaRFFRUWKD4+NaXNsE01k/6yCYneZ+Pji4znGgj5ePDw/9hxOTJQbAY8xy5vrkpvoNxsjvqsk2VD4OQvHGR1H3twSI4z2zcW6kHCil0z07DrkYxYaKZjobMpdfEWPcHIXYFxgbjdR+j47l6aCRfHFS+tHPjdWcJWCKhqU/bybTTQZG8fxn8aP58cef95E4z7Twh3Hxb+vjt/zwi8aitDfFRM10m448udfiB+HkTLHJ54z3x5xfn7QvYKJTiTt4u5NKBapidrNibQLPVFULOqK0uf3zZA+Ps7v3jX8wWuf4TyDFOToPBQzpG3oueVisL3DzVqLq/S5eltpfISCem7mNhc1JsrNSziwONb+WFQTNeQNQBpnUj75uIrOq9BkklgKOc2NVxUpgQ0mCq0jmOhkki7u743maooNLwS0AN1rovlC72q6YnJJ8fcStmuFL+xmzpke11n7WOYc8jMqrb+kuLJYGRJziJSZSdO+SNzosdi+k3hpJso/Szpnls8jwJGJfmw3RnsbQ2b8pOPs/OagCP+Zam4ETCzS45HEYiUNnCjXMNF3E0x0QtkLi1xQ6QykjKQosgtcNFGhuJcg7UtN4ewc7P4dTHQXO5b07eO9GFrkTNzOH0MGtebJwI8vkZgXd6z0XDQjtP0n8YrbhH35edjtJjc0J9wsw+cK23msj2OMlRjKdrzWhK88oTD449ZznmLCkxwP70OIYTIOjaLcZUy0Ei2O0L2CiS4qsdBV6j4TTWcUpj39fFePbjBRVuTFNlb0mMuNlKu6SPLz8JIN2hTkOLbH7u0mmpoH+QzRkEh8RHOV878rkxPzjyd8+/aZ7F/FZCa6/wtTW9uaY+LAROcQTHRRrWSikgGY9lkTrcV2QKSZqBE/x5N9HfEMQlVj/GTIZ4Z+o1mZ/E/+udMRbgLosbmAiyZ6bHf7nRZ6esMjmuimJC7pLFrC7R+bcDLWo75b8uT32Y9dOO9WE82N6a0tTHR9wUQX1ctMVJBUTPZ9aQFlhTIck1QozGcNM9FN9piSE2YFMUDPMZGyj4hQ4BNzOYgOz8cm/C8jrs02Q1OK8OenYBL0s1zAFRPdtLXdP/8kL9F+rC19LxkHW1y/KcdvY74dg9v/JhPdt7nX0riPtgkxDGOKX1siW1vpM8xxJOdoFB1z+9MRqK9gorMqumCusxdEomYTTYqqMNPZOAqB/Dgva6KhoBjRfulBatuN2LFo57ZLifd+DuZ9ekyR0vNLiiCLmXo84TiSzzKfYYo7/Szy+nMzJM3Mw4cl8cqYaKL0HB3MtDImGvXhj8mNAd20nOLPTo4zyh07Hk3SPvs27XikeMkmGvdPiY8v/oztxmXvKz0PPT7QSMFEZ5V6EbYhFe1mE3VbSUHctpmN7Jhpsfu+zYzorMl81hQmmtwQBMidPu2rtXiVmqiqn7++f7dBJobiCu3P3z79sbKC7tnzkMSrxkSNUiNN9smaqHk7/nU0VamJViPlLBofIY5+PPr26fFIZp43UdtG+Kwg/hnRL/HpIDmJKzROMNFZFV1415GKdmqiF4qVKTLsmPmFTguGOZ77TXQ7v72dfq70uHmMLPuxXSzuRfAZCf3MdLaSHpNyM+ACXmeiLKbi518o9qNNdP983z45HvFGSDFRKuGzgtJzjvsTP0PMOzRKMNFFxYt7y53pdCaaFOkKePFifX1+8wVwO079/7ulxUmJRfQ5F4t7Ebxg0s+UimmmqNOY2O0VJsoMRG3/DibqY8aPJx434eakt4luimKYLrrecq1DrxNMdFGtbqIcU3v48VTBixc7lgNX/OJjIbO1TdpxpDGe0ETZeUdhoe/ZN0pNVDhPyZiMbjDRpM+MSakq2Cc3XgPJPyfZw0Q3qdeCFndomGCii+o1JurfaBUr4PyYzkw0ep8eTFL8vbTtRuxY0nauMEe7afswky0TK645qgpjzkSZ2fF+k3iVmKhgoLl4vJGJ7hJm4ZTTc8x8lnrO4me2jEPo1YKJLqr3M9FMQU+Kv5e23Ygdi0GLkXrXb6gOimQ62/mFx8nhdfS/oARKiqRuonF8S/o6M1HlXHIheTcTFcbRD+ZHcsm2zKdmPis957Obr8Lzg24TTHQyZQt6B2gBuvOzjGjBSGoOK77R+7QIkTei42cdnt4gnMwukllcTtm+fNETz082qUByzFayifIblDLzypiTck6n/bL9yo7DiJlHxkRb4LGM4yUZk/KZpCMec23MxGMxY6I11IxP6KWCiU6mp5potqhFJir//5Cln3V6zjXFSZqlEKJzFE3UK2vC/NxSEy0t5vG+Kccxye2KDLHWRLUYRgHqZKJqvjLjjRIdk1MynkLs1ZxWmqjvTxu3RTmBXiqY6GR6ZxPNi8xEeLGKTPS7eNxCfbPt0mOQH5e1FiOpCErHsh2MbqJBYuFlBT4yFOGf/cveBOQeFfLPiduKxyup1kSj8zmIP6+TiWrGJpxcPMZOHo0z03XnrMSafVY0frbc0X/BKYkdP/7ipECvFEz0weJmdPmaFItJnb5/CgWLmSj/nOrjDsUoaziFCsdydhCsAJ43d7lJYxibaOjGFuOCQMgzH26gQeazKn/MUm2iqdnkz7ltXDkJxpaJWWlMrcw4YOOJX1/ScXMTdf8vqpYPJ9tvj7ELdRFMFIIgCIIaBROFIAiCoEbBRCEIgiCoUTBRCIIgCGoUTBSCIAiCGgUThSAIgqBGwUQhCIIgqFEwUQiCIAhqFEwUgiAIghoFE4UgCIKgRsFEIQiCIKhRMFEIgiAIatRuogAAAACoBzPRAULM7xdiPo+Qi3mEXFyTiR9MdIAQ8/uFmM8j5GIeIRfXZOIHEx0gxPx+IebzCLmYR8jFNZn4rW+iYWFkslDtviBu6aK6N2tkzM8W9T0WE65ckJloX2y4YPFg01ZdaDla5Dm/WPGZWmN++7ns7Xj8/eLU0ZgOC00r/ZHPPLsU7HlWXC9Xxgly4bcpWiEXkJOJ30ATFVaaL4IN0lMTzXxOwcX4ClXHPJxjA/RaPC62DeUiPb0gtWMJsYwKFIPFey+K4meleVOLYoHEmM94LkrhprnbU0eOX+yvpHDzc1QbxhKPp1DIhd/GNUsuoGKZ+C1tonTwqHx+g4kSHQVGvtiPmEoFaFO22J3klMebFo3oPdrPx9fnZ3uRCKov3IPOhRduXlizsBtMsm/6WX42RTGNfjZn7nVh3AWkMYZc+G27JssFVCwTvzlMlF8Ego7i326i++ANA7Lgc1+h6pjvFxAzNn6RB51esIpBbjo1Ua+QD3ph7jmK4noUiLxph2ONC0o4fmr+6TmdKxfzqc7l5YVbMCTtOhhQuJGLeXIBncvEb2kTtRIMcb+A7Gg9PmcfvMuaaD1JYThRmYmmMU2LltOxneVtlylu/r2oSPHPZwWn8sT0mE92LlrhFsb3sVvojx0XL9zRMQntRTnzoYd4jEd6jKQv837m2kIu4teO2XIBlcjE731MVMKN1uTC3Pcp+NxXqDrm/EIJ4hd5EL9gVbECckbobO9fKlJn8CLmFfVBcxwXDjpzqDFSNeYTnQs1DMfW/3ff18fn1+eWKzOboIXb9rE/bWHXBjmOPVR2LLF2GdFjtDOZpE93TrbNdj19p+ewf2gs5MJvmzkXUJFM/B5lognLmWg94dqJisSGe7TTZqJpgdn62wrLR1FfrtjFx+O22X7Jxc4/Z3/LFo/y4mOkxXymc0mPhRTu7W/3Hd7xXd7npxkXps1WPO3xFhTuKm0mEc7PdkCKNMe8Tz6PnjsXcuG3VeneXEBlMvF71OPchMebaKqjeLgClEqO5+f3Y7v7zPA69BO/lopdUFLAOuRJjvmE57IXP99PeC2M76M2huPRDKCeZHyY49g+UOz7OBAXC/JaEnJRx/25gEpl4jeHiVahmKiEHUD8ItwkGO+dao75flE7+MW1FxD1wjli0Wyi5BhMH+Eza4udFS9Syd01PQa3/0lNUCXGfMZz4f2QYzznNYWb9ueOmZzbtsG+b66l/Vqk55oKuajj9lxAxTLxg4n6TXeqKea582SYR0tiUSCxoBcm1XGRyhffbtS+D6nY5SH9JsUubGOfzc5dPre8pJhPeS68n/11CezaIPvSzzlyzNoniuNgxww9ftupUMT9a22MIRd+26YZcwGVy8TvUY9z98Er7HOnrsacXhw79Fz3E+U6YqFdVEffrOB46cUufk/npNhFys0g6lRXuAeey2k/FVIKd3Qs6ljZRIq0bUb607Dt9v3kc0Au/Dar+XIBlcvED9+Jul1uVVPMyUUUSIzQ/PCBnmtyUV43UXrxxsUu9B32O3ttNsVF6ufv292zfYMXOXq85r2zu/ZUYsxnPBfWj9sk3DQJpOk+zo+/R/tM9iP6/knOcZNsaJ9f30x/2/VkfljjG6pjDLnw27ymywVULBO/pU1UHkQM82hT2m5YxUQFAy0mOscj5u6iMq/jwnFqoptCG7nYnaEUO/vLxy1XPKe0qkRxqDNSLebTnQsptmGfPSfieD2MISnAmcK9vUnOUc+1Knq+lfsiF37brvlyAZXJxO9RJroP3nDRrGKi5OLUSO407YXFjUYqSPGFtxeJzAV5tDn43O56z47RQfoVitR+jKzSxLnuVyymOxehH+kYJdjHRH1F75ntduzH5xnvL42VBpKDQi6i9ybNBVQmE7/1H+dusu+RPszr3VT2u0xygSxnokEmZvRCP2LozlcuFIfSgsTN9ygSrKAQicXuWygSIT/h2EI//PUmOgNQjjn5rMacVRXuQecSF/Tj/X0/8dyPnCYfyws3NYW9Lz4m+DlfRIgFchG/njEXUJlM/OYw0SrCwHKiF4MxBP56vxjooF/ORHms0ovLmiEtHlE7r+h9UnSIjvjJ7xuFNtSA0+LCixt/vUnNQ2r2ueMp0VnhnuJcbB/pe+nxUGUKdzIeCKyvxDQU89m1m0B9XpALxoS5gMpk4re0idLBJl54BPN+sl28EF6vmpgnx7xdUNr5BeUuQrtv5ryPvmsuSJLL/bOO4kZXy+DG/v2TvBYLDbsRaFR5zOc7FynfErzWJuPAkB3zzgToWFJ1S+FGLubJBSTJxG/5x7lmUKcDzfVtB7IdYH6ffbA5+EC/S3UxFy6mpCgoBcG2qysWbSbqFP968Ch2xz+Xdl4UwucXFY8K1Y7zmc5lz4l4nWRmP+G4XzHQbyzcyMWJYKLDZOI30ESfK8T8fiHm8wi5mEfIxTWZ+MFEBwgxv1+I+TxCLuYRcnFNJn7WRAEAAABQD2aiA4SY3y/EfB4hF/MIubgmEz+Y6AAh5vcLMZ9HyMU8Qi6uycQPJjpAiPn9QsznEXIxj5CLazLxg4kOEGJ+vxDzeYRczCPk4ppM/GCiA4SY3y/EfB4hF/MIubgmEz+Y6AAh5vcLMZ9HyMU8Qi6uycQPJjpAiPn9QsznEXIxj5CLazLxy5jo8U9YBaR/sWr/Z7ACSaNe/egq3jf8c3kVfe8q2bew/1UGbv6fONt0JZ43C8ViHiEX8wi5uCYTP8VE3b/zSGtj+Ldr6TZXZOm/1+gNc2/Uqx9dZfuGf2/TU9DvoZJ96/pfYuDaf4/T/yPfiYleiecYoVjMI+RiHiEX12TiV/441/8jx8c/4OzMiv+Dzs7UMv/oea9+rMr2PYzWF/+Kol+yb23/8w9cdx4mrvbcmIleiecooVjMI+RiHiEX12Ti126i/nVSP/0jPrWu9urHqHrfK0W/ZN/3MFFnku4mRDLRQzBRqF7IxTxCLq7JxK/cRLkx2df0MaqXZmxBvfoxqt4XJnoqFjuYKNRbyMU8Qi6uycSv0ET994y0mDaZX69+vGCi3WW/sybHDxOFegu5mEfIxTWZ+BWZqPsxEDOrBvNr7se2MfsG/PedvUxU6z/SA0zUxiE+d5go1FvIxTxCLq7JxO/UREXjM9KMSjG2Xv1Eqt73StF/fxN1OdLhP+C6Fs97hWIxj5CLeYRcXJOJX9ZEQ1GVa2T5r2p79ZOqdl+YaK0wE4V6C7mYR8jFNZn4qSbqjEgzPqdkdulnhtTUevWjqW5fmGitYKJQbyEX8wi5uCYTP8VE/Q+AROLHpGGWGYjNq1c/eZ3tG4w85WymW7Zvbf8rDVzJRK/Ec5RQLOYRcjGPkItrMvEr+mER1FeI+f1CzOcRcjGPkItrMvGDiQ4QYn6/EPN5hFzMI+Timkz8YKIDhJjfL8R8HiEX8wi5uCYTP5joACHm9wsxn0fIxTxCLq7JxA8mOkCI+f1CzOcRcjGPkItrMvGzJgrAu/P19QOYCClHAKwIZqIDhJiPkFzMwSigGYRadE0w0UFCzEdIKuRgHNAMQi26JpjoICHmIyQVcjAOaAahFl0TTHSQEPMRkgo5GAc0g1CLrgkmOkiI+QhJhRyMA5pBqEXXBBMdJMR8hKRCDsYBzSDUomuCiQ4SYj5CUiFfi5+/kX/s/1No8929951vnxJoBqEWXdOJiaYrsEgrXiUreiSNevWjq3hfu1h3Xd+7svuWnWPQKgN3j6u2FNqVeN4uqZDPRWSSNq7k/Z9/sEv8fdv+a16b8fa5meb+vrJtXtbVlVo1m2Ci15QxUbdOJB0bYbkxus0NJrqkmTeTvVGvfnSV7evXvTTbC/s9dLZv2TlSLTFw7bqsH1+fn1t8ExO9Es9Rkgr5PAQDDSZpcOPYvzazzC3mP/v3TPw/tn1CW5sParrTs6au1KoZBRO9poyJCkoWu3aDR167M7OuZK9+rMr2PQa+L/4VA75p35NFxecfuO5czfHb8xfXE22L5zhJhXwe3DiOtwVjtY9nMyZq25H31mBFXalVcwomek3XTNS/Tuqnf8Sn1tVe/RhV73ul6D/HRGlRkEz0EEy0C/5RbfIo1hhn2K49zmXb12FBXalVkwomek11JsoHin1NH2t4aQMtqFc/RtX73mSi/ByZph64LHYw0RvwZpkYoTfIYK70O9MwCzXx5zPYNVhQV2rVpIKJXlOFifrn/rSYNg2oXv14TWmiwjkyzTxw7fe55BxhojdQaKIcm6st/uYxbvge3qC1n4sFBROFmIpN1F2gbPA0DKjmfmybo0js3z/0MlGt/0hlhiGeI9O0A9fGIT53mOgNtJio3yf5vpRun5oFVV1v5hdM9JqKTFQ1BW3gKAOtVz+Rqve9UvTP9y0xUKNZB647fp30O16YaBc0s/SGKH3fuX8nuv1t87ZB35v/O9IFdaVWTSqY6DWdmmgoqnKNLP+lWq9+UtXu+zoTzZ9jrJUGLmai9+DGcbwt+nUugZsmTPQuXalVcwomek1ZE3UDI28KzjjIHZi/U6ODrFc/mur2fY2JlpwjFUx0hKRCPg9uHBPz87PTEmON/hcXPM59qa7UqhkFE72mjIn6H8eIxI8twsUfiAdTr37yOts3mFzK+d3j+b7l5xi0uoleiec4SYV8LtJxzNp4Y5VmmfZmxu+HHxa9Vldq1WyCiV5TxkShVwoxHyGpkINxQDMIteiaYKKDhJiPkFTIwTigGYRadE0w0UFCzEdIKuRgHNAMQi26JpjoICHmIyQVcjAOaAahFl0TTHSQEPMRkgo5GAc0g1CLrmk3UQDeHbmQg1FIOQJgRTATHSDEfITkYg5GAc0g1KJrgokOEmI+QlIhB+OAZhBq0TXBRAcJMR8hqZCDcUAzCLXommCig4SYj5BUyME4oBmEWnRNMNFBQsxHSCrkYBzQDEItuiaY6CAh5iMkFXIwDmgGoRZdE0x0kBDzEZIK+VqEFVwsn0KbZVZwMUAzCLXomk5MNF2dRFrxKlnRI2nUqx9dxfvaxXPr+t6V3bfsHINWGbh7XLWl0K7E83ZJhXwuIpO0cSXvsxVczHjjq7VI2+ZlXV2pVbMJJnpNGRN160TSsRGW/6Hb3GCiy315M9kb9epHV9m+ft1Ls72w30Pn+5pzopvdOcrLoBktMXDtOokfX5+fW3wTE70Sz1GSCvk8BAOly5y5cexfm1nmFnO7ZuiGiT9dKs3mI7RdgjV1pVbNKJjoNWVMVFCy+KwbPPLanZl1JXv1Y1W27zHwffGvGPBN+54s1Dv/wHXnao7fnr+4nmhbPMdJKuTz4MZxvC1agDtjotGi3Muwoq7UqjkFE72maybqXyf10z/iU+tqr36Mqve9UvTrTVRrOvvApUVBMtFDMNEu+Ee1yaNYY5xhu/Y4l21fhwV1pVZNKpjoNdWZKB8o9rXwyPLEQLr1Y1S97x0m6tupxjP5wGWxg4negDfLxAi9QQZzpd+ZhlmoiT+fwa7BgrpSqyYVTPSaKkzUP/enxbRpQPXqx2saE/XvmXOz5B/tzDxw7fe55BxhojdQaKIcm6st/uYxbvitgUFrPxcLCiYKMRWbqPhDmYYB1dyPbXMUid2kepmo1n+kcsNwj0PNDIEfmNO0A9fGIT53mOgNtJio3yf5vpRun5oFVV1v5hdM9JqKTFQ0PiNt4CgDrVc/kar3vVL0a/b1bZUZ6awDl85mJNKbAphoFzSz9IYofd+5fye6/W3ztkHfm/870gV1pVZNKpjoNZ2aaCiqco0s/6Var35S1e57s4kqM7iVBi5movfgxnG8Lfp1LoGbJkz0Ll2pVXMKJnpNWRN1A0MzPidnjuQOzN+p0UHWqx9Ndfu+wkTNhcUuIHtnqh8/THSEpEI+D24cE/Pzs9MSY43+Fxc8zn2prtSqGQUTvaaMibo7LnMxpsSPLcLFH4gHU69+8jrbNxh5yvndY8m+Upucr6xuolfiOU5SIZ+LdByzNt5YpVmmvZnx++GHRa/VlVo1m2Ci15QxUeiVQsxHSCrkYBzQDEItuiaY6CAh5iMkFXIwDmgGoRZdE0x0kBDzEZIKORgHNINQi64JJjpIiPkISYUcjAOaQahF1wQTHSTEfISkQg7GAc0g1KJr2k0UgHdHLuRgFFKOAFgRzEQHCDEfIbmYg1FAMwi16JpgooOEmI+QVMjBOKAZhFp0TTDRQULMR0gq5GAc0AxCLbommOggIeYjJBVyMA5oBqEWXRNMdJAQ8xGSCjkYBzSDUIuuCSY6SIj5CEmFHIwDmkGoRdcEEx0kxHyEpEK+FmEFF8un0GaZFVwM0AxCLbqmExNNV2CRViZJVvQQlwoj72+09aOreF+/RFnT0l2F++7Hoi4fts7APT2XK/G8XVIhn4vIJG1cyftsBRdzTfHVWqRt87KurtSq2QQTvaaMibp1IunYCMv/0G1uMNElzbxh7o169aOrbF+/7qXZXtjvoYp97dqCH1+fn9sxrW6i2XO5Es9Rkgr5PAQDpcucuXHsX5tZ5hZzu2bohok/XSrN5kOanU7LmrpSq2YUTPSaMiYqKFl81g0eee3OzLqSvfqxKtv3GPi++FcM+PJ93fvmWOw+S5to/lyuxHOcpEI+D24cx9uiBbgzJhotyr0MK+pKrZpTMNFrumai/nVSP/0jPt1rOvVjVL3vlaKf35deSKubaPm5wES74B/VJo9ijXGG7drjXLZ9HRbUlVo1qWCi11Rnonyg2Nf0sYaXNtCCevVjVL3vi0yUfd7SJlp1LjDRLnizTIzQG2QwV/qdaZiFmvjzGewaLKgrtWpSwUSvqcJE/XN/WkybBlSvfrwmMVH7PS/ZvrKJ1p0LTLQLhSbKsbna4m8e44bfGhi09nOxoGCiEFOxiboLlA2ehgHV3I9tcxSJ/fuHXiaq9R8pt2/cflkTrT4XmGgXWkzU75N8X0q3T82Cqq438wsmek1FJioan5E2cJSB1qufSNX7Xin68r50BiDBf4RgNOvArT8XmGgXNLP0hih937l/J7r9bfO2Qd+b/zvSBXWlVk0qmOg1nZpoKKpyjSz/pVqvflLV7tvfRCUtOxMVhJnoPbhxHG+Lfp1L4KYJE71LV2rVnIKJXlPWRN3A0IzPyZkjuQPzd2p0kPXqR1PdvjDRWsFE78GNY2J+fnZaYqzR/+KCx7kv1ZVaNaNgoteUMVH/AyCR+LFFuPgD8WDq1U9eZ/sGI085v3ts2ffdTfRKPMdJKuRzkY5j1sYbqzTLtDczfj/8sOi1ulKrZhNM9JoyJgq9Uoj5CEmFHIwDmkGoRdcEEx0kxHyEpEIOxgHNINSia4KJDhJiPkJSIQfjgGYQatE1wUQHCTEfIamQg3FAMwi16JpgooOEmI+QVMjBOKAZhFp0TbuJAvDuyIUcjELKEQArgpnoACHmIyQXczAKaAahFl0TTHSQEPMRkgo5GAc0g1CLrgkmOkiI+QhJhRyMA5pBqEXXBBMdJMR8hKRCDsYBzSDUomuCiQ4SYj5CUiEH44BmEGrRNcFEBwkxHyGpkINxQDMIteiaYKKDhJiPkFTI1yKs4GL5FNoss4KLAZpBqEXXdGKi6Qos0opXyYoeSaNe/egq3tcunlvX967MvnxVh4D2MasM3D2u2oo0V+J5u6RCPheRSdq4kvfZCi7mmuKrtUjb5mVdXalVswkmek0ZE3XrRNKxEYyCbnODiS5p5g1zb9SrH11l+/p1L832wn4Pne9rzymz9BnXEgPXrpP48fX5ucU3Obcr8RwlqZDPQzBQusyZG8f+tZllbjG3a4ZumPjTpdJsPqjpTs+aulKrZhRM9JoyJiooWXzWDR557c7MupK9+rEq2/cY+L74Vwz4kn3fz0TduZq42vMX1xNti+c4SYV8Htw4jrdFC3BnTDRalHsZVtSVWjWnYKLXdM1E/eukfvpHfGpd7dWPUfW+V4r+c0yUFgXJRA/BRLvgH9Umj2KNcYbt2uNctn0dFtSVWjWpYKLXVGeifKDY1/Sxhpc20IJ69WNUve8LTXT7PAq/W6WaeuCy2MFEb8CbZWKE3iCDudLvTMMs1MSfz2DXYEFdqVWTCiZ6TRUm6p/702LaNKB69eM1iYlyuZmcbqQzD1x7Q0DOESZ6A4UmynFPQNxjXHojp7WfiwUFE4WYik3UXaBs8DQMqOZ+bJujSOzfP/QyUa3/SHWG4QqcbD7TDlwbh/jcYaI30GKifp/k+1K6fWoWVHW9mV8w0WsqMlHR+Iy0gaMMtF79RKre90rRbzBR5ccGsw5cd8w66cwaJtoFzSy9IUrfd+7fiW5/27xt0Pfm/450QV2pVZMKJnpNpyYaiqpcI8t/qdarn1S1+95lor7tajNRQZiJ3oMbx/G26Ne5BG6aMNG7dKVWzSmY6DVlTdQNDM34nJw5kjswf6dGB1mvfjTV7fsCEzWfx0zm7JxhoiMkFfJ5cOOYmJ+fnZYYa/S/uOBx7kt1pVbNKJjoNWVM1P8ASCR+bBEu/kA8mHr1k9fZvsHUUs7vHs/39UYividrdRO9Es9xkgr5XKTjmLXxxirNMukYxA+LXqsrtWo2wUSvKWOi0CuFmI+QVMjBOKAZhFp0TTDRQULMR0gq5GAc0AxCLbommOggIeYjJBVyMA5oBqEWXRNMdJAQ8xGSCjkYBzSDUIuuCSY6SIj5CEmFHIwDmkGoRde0mygA745cyAEA0vUCysFMdIAQ8xGSCwgAAGoVTHSQEPMRkooHAABqF0x0kBDzEZKKBwAAahdMdJAQ8xGSigcAAGoXTHSQEPMRkooHAABqF0x0kBDzEZKKBwAAahdMdJAQ8xGSisf6hFVdLJ9Cm2VWdVmfdXMBterERNMVWKQVr5IVPZJGvfrRVbyvXTy3ru9dBfvy1R20tquY6B5XtopLcp6elrDeJ6l4TIAvrGLR3YgKM2/HVnUx1xlfwUXaBhQemwuoVRkTdct70aIYCifd5oosXdLMG+beqFc/usr2ZcuVFfR7qGRf30ZddzPWEiZq10n8+Pr83OIrmWjhuc4jqXiMJR5X6fuhaNOlz9zY9q9N0d/6sOuIbpj+6PJptn+hX5Dy7FxArcqYqKBk8VlnVvLanZl1JXv1Y1W272G03uwqTLRk37JjPTS/ibpzNXG15wYT7Q4tylqBdWM73hb2s48EM4XbtiPvAR3kAmrVNRP1rxNP8Y89VZ/q1Y9R9b71JnpI2/cwnFLNbqL0pgAm+nrEwr0VdDe22XZTrMN23yZ5hMi2g3KemQuoVXUmyo3JvqaPUb00Ywvq1Y9R9b6vMFE/G/78tJ9pzs0hHJfX1CbKYqeaaHSu2/lX3ESMkVQ85kAs3L5AJ8XXF+VQ0MNsyOXAbTP98VkTKOOZuYBaVWGi/ntGWkybzK9XP14TmWhsNL6t8oh3ZhO1BknOUTJRLjdzNcUi12q0pOIxB1cKN8c9JXCPDunNjtYexDwzF1Crik3UDQBmVg3m19yPbXMMwt2cepmo1n+kk5koPwjfpxSHaU3UHnN87iUmauQKxnm7cZKKxxx0K9x+n+Q7OrodZHlmLqBWFZmoaHxGmlEpxtarn0jV+75uJpqYqGrk85qoy5FObqbp9pVn3nNIKh5zIBZurUD7IpwU9A0zDkN7mw/Sp3lP2gfEPDMXUKtOTTQUVdlzZPNwj/biYtqrn1S1+77CRP12PgvL3ATMaqKSymaiSgymklQ85kAs3BtubMfbol+EEnihhom28cxcQK3KmqgzIs34nJw5EqPwsy9qar360VS37ytMdJM1THqOzty1z1naRE18mVmW5Hi8pOIxB1rhdmObFNztv25sx+2kYm63bf3icW4dz8wF1KqMiXoTEIlnV2FwBWLz6tVPXmf7hiKfcv74sXTfpF3GUZY20e0vW2jouRbEcbyk4jGOUGwlaIFNx3bcTyjm0syG5kn83g5YkAuoVRkThV4pxHyEpOIBAIDaBRMdJMR8hKTiAQCA2gUTHSTEfISk4gEAgNoFEx0kxHyEpOIBAIDaBRMdJMR8hKTiAQCA2rWbKADvjlw8AADS9QLKwUx0gBDzEZILCAAAahVMdJAQ8xGSigcAAGoXTHSQEPMRkooHAABqF0x0kBDzEZKKBwAAahdMdJAQ8xGSigcAAGoXTHSQEPMRkooHAABqF0x0kBDzEZKKx/pE/3j6p9AGK7jcxrq5gFp1YqLpCizSwiTnq5f06kdX8b5+ybKavndp+/ql16LPJ0gftYKJ8hUr4vMuy+lckorHWNIYpm2SPIQltQxs1RDTH+9D2gZSnp0LqFUZE3XLXdHCGAYQ3ebMiy5p5ovr3qhXP7rK9mXLdxX0e6htX3dc8hJhc5uoP191ge2ynM4nqXiMw8SMFtQQQ7qMVthGZy52bG/x39emDH9vmLzQ5blsHrc+wmsgg1xArcqYqKBksWtnVvLanZn1JXv1Y1W272G03iAqqn3bvvmbgJlNtCzuTNmF0GeRVDwmws9kzgpveGRoi3mmcNt25D1QweNyAbXqmon614lP+Meeqtf06seoet96Ez1Uvu9hvH4D07wm6s6x2gx5TqeUVDwmwhfuZEbEim9UzP0+ySNEth1U8rhcQK2qM1FuTPa1YBSasQX16seoet87TPS83bwm6mf2n582fiZPDv2GwIrndEpJxWMe7JjZ4LMV+0RjwxTh8Dd9pEh/zBJmPqYvOosCdTwvF1CrKkzUP56k35M1mV+vfrxmNNECQ5ndROPvQ/15q494pX1mlFQ8xuLiekALMiUUbDeu5DYBOmMK3+OV7Pd0np0LqFXFJuoGADOrBvNr7scb04Ev6L1MVOs/UomJ+jYnhjK7iSaPZX18inM6paTiMQ9hFkNnLWFbKLr7TGeLeWgTsbUz7yff0dHt4JTn5QJqVZGJqkVSMyrF2Hr1E6l638LZpKiCfTNmQ7WciSpxXsdAjaTiMRd2fG1xtgXWf5eWPAr0RViazZjche02N6TAm/fwHWk5z8oF1KpTE3VF0gwGvyGSXHClX3f26idV7b6vNVF3nmfHPLOJKjNp4aYkn9MZJRWPuXCxj2csSYH2BZ1v54Wav56vcM/Ns3IBtSpros6IzADxGwS5QkqKq5+xUFPr1Y+mun1faKIVxzyviW5KZtPuRoWed0lO55NUPMZhYho90vOFms52bNxDIfe48R7vGx4tJtuYCUSfB3aQC6hVGRP1hVNEnpEEYhPp1U9eZ/uGop9yPmss3dcdw3l/RlOb6KbknCO3LM/pXJKKxzj279QIyUxnQ4p1VID9bEia2dibPr+P1DdwIBdQqzImCr1SiPkIScUDAAC1CyY6SIj5CEnFAwAAtQsmOkiI+QhJxQMAALULJjpIiPkIScUDAAC1CyY6SIj5CEnFAwAAtWs3UQDeHbl4AACk6wWUg5noACHmIyQXEAAA1CqY6CAh5iMkFQ8AANQumOggIeYjJBUPAADULpjoICHmIyQVDwAA1C6Y6CAh5iMkFQ8AANQumOggIeYjJBUPAADULpjoICHmIyQVj/WJ/vH0T6HNlKuGvCfr5gJq1YmJpqt1SEtf5Vf8MOrVj67iff0yXzV97zrZl68kk6zJSTSliWbPryyHVldi/FJJxWMs6epD+fcD+yogbNUQkyO+Qoi0DaQ8OxdQqzIm6tbOpHUwDCK6zZkXXf7KF9u9Ua9+dJXt69cCNdsL+z10vq87J7oMmj8GxUjnMtGz8yvL4bUY3yGpeIwjxHCflWzF1bymxdu22WJK17CMMPuQ90386f42H1sfe3sgglxArcqYqKBk0WlnFPLanZl1NXv1Y1W272G0vtBXFPjzfeXtueOfyUSbYiMsQH4lxvdIKh6D8LMWcbazxS4U4iuFO1oIGuggFxtQq66ZqH+d1Er/OE+tob36Mare90qB1/d1FxiddeY/ZyYTPXTNRA/BRE/xMx3+aC98pxZmRKeFW3uEyLaDDMjFBtSqOhPlxmRf08eoXpqxBfXqx6h639eY6HYg9qJxxxL+1mfRy5soz2EkmOgpvrAm34/5gh4Kri3cdiwd8BkT/TFLeM/En7cDCsjFBtSqChP1xkBnW03m16sfr2lM1CiYpyP3EWubqJDDSDDREmyMNujMxm7bYqvNWkKRzhVlOmOihT8xCbCDXECtKjZRNwCYWTWYX3M/ts0xCPdZXi8T1fqPpJuD+z7w+LzwWjOSlU1UzGEkmGgp9KbLjh9faHP/CwQtzMn7fvZk9zd/h3Z0OxB5di6gVhWZqFo0NaNSjK1XP5Gq971S4JV9/TEk3w96Y5Y+alUTPTdQI5hoK3Z2E4qtgsuBXISNEYRZjm23Qd+b+3u5uXhWLqBWnZpoGCRyPXSP9bh5SL9K7dVPqtp9X2Cimlmqs+E1TTSfQyqYaCsmbmffn9nYbvDizgv1/IV7bp6VC6hVWRPljyglucJKZibCrKxXP5rq9n2BiXoj598RuuOSbwJWM9GSHB6CibaQFOStyH7Q1xvhezj+nVrYTmdE0UxqykeI8/K8XECtypioNwaR+HGeM4uD2Lx69ZPX2b7BBFLOZrql+0rnqfc9k4men19ZDq/E+B5JxWMctlDTOG1j+LTNRlJ8TYHftkszG7r/fD9mmQfkAmpVxkShVwoxHyGpeAAAoHbBRAcJMR8hqXgAAKB2wUQHCTEfIal4AACgdsFEBwkxHyGpeAAAoHbBRAcJMR8hqXgAAKB27SYKwLsjFw8AgHS9gHIwEx0gxHyE5AICAIBaBRMdJMR8hKTiAQCA2gUTHSTEfISk4gEAgNoFEx0kxHyEpOIBAIDaBRMdJMR8hKTiAQCA2gUTHSTEfISk4gEAgNoFEx0kxHyEpOKxPmHVEIvwD6djBZf7WDcXUKtOTDRdvUNa3SpZvUNbKozQ1o+u4n392p9Ny3Sd7FuzCs1cJto5P1di/FJJxWM8fNxIxVdtw1YNMXnkK4RI24DMc3MBtSpjom5NSFoHw+Ch21xhpUua+YK8N+rVj66yff0al2Z7Yb+Hzvd150SW/PJGohnpPCbaMz9XYnyHpOIxFhuvDbpOJSfbxsxsyHumLV1I2u4bijzI8uxcQK3KmKigZLFrV0jltTsza0j26seqbN/DBHyhryjwp/sqi4BbM2ILdQfNY6KCGvNzJcb3SCoe45AWb+actskU7mghaJAFuYBadc1E/eukVvpZmFpDe/VjVL3vlQKv7Kt8FjcZqqVM9NYYv1JS8RgHLbIap220R4hsO8iDXECtqjNRXjTta/qIz0srukG9+jGq3vcFJpo1GeHYNk1topfzAxMtwc7uP12BNfEO0GJb0ibMkAyhyJeYAjhALqBWVZio/w6MPp5sMr9e/XjdWuC1ff326NGt37acifbID0y0BBfn+BGfGzPHI8OSNhz3NYLbJ3y/bcCPi3SQC6hVxSbqBgArpA3m19yPbXMMwv0xaa8Cr/UfKWcO3nwIn5+mz7Ue5/bJM0y0BDNekhmK+V7NxrS8TYTf3xZ187cv4NF2kIBcQK0qMlGxsBppRVQpur36iVS975UCX7ev/U50oR8W9csPTLQEsSj/vG2zsS5vQzHtw3abzw363tzfy40DuYBadWqirrCaweA3RCr71aZRr35S1e57l4m6tvy4gmYz0b75gYmWYGO0QR8PhllKKLAlbQK8UM9fuOcBuYBalTVRVyS1wurkii+ZjfhZCy24vfrRVLfvHSbq2ymzUKOZTLR/fmCiRfgCTGcxprjSYlvUZkP63y+i/63C94PHuQqPzwXUqoyJpt/xHcSP8FyBPYgLa69+8jrbNxhFytlMt2Rfbxr0vRMDmcdE++XnSozvkVQ8xkJ/zWlhBbmozTajMTc00syGjkta/EHKs3MBtSpjotArhZiPkFQ8AABQu2Cig4SYj5BUPAAAULtgooOEmI+QVDwAAFC7YKKDhJiPkFQ8AABQu2Cig4SYj5BUPAAAULt2EwXg3ZGLBwBAul5AOZiJDhBiPkJyAQEAQK2CiQ4SYj5CUvEAAEDtgokOEmI+QlLxAABA7YKJDhJiPkJS8QAAQO2CiQ4SYj5CUvEAAEDtgokOEmI+QlLxAABA7YKJDhJiPkJS8Vif6B9FF/7RdKzgch/r5gJq1YmJpit8SIuTJKt3JI169aOreF+7kHRd3684/rlM9D++/vqv/tfXfyH89R/9W0T/9Lu4zV/+43/6d5j++Cf7/i9+9x9+wyySiscc7MU3LJfl4SvnBPZVQNiqIWac8hVCpG1A55m5gFqVMVG3vBf1gTCI6DZnHHTJLG84e6Ne/egq25ctV1bQr9Nrjn8eE/3Pr7/7bWyawSz5tl/81Z++/sm/DkYZG6nrK5gsTLQQX3w/zbiSCjfbFrEVZPq+GasfmwmE9+2Y3/rY24M8j80F1KqMiQpKFmJ2RiGvK5lZQ7JXP1Zl+x4m58202EQFdTj+eUxU0L//+esvqUHy117WWH/7561oOP38j3/YjPYPX3/3785MYaJlhGJrZ0CkCBuuFG6pP5DnubmAWnXNRP3rxI/8I1PVp3r1Y1S97wtMtOH4lzJRP+vkj3idaZLZ6S6YaCnh0aH5jqypcGuPENl2cM6zcwG1qs5EuSnY1/QRppdmKkG9+jGq3reDiXY4/qlNlJumN9Xke9KtnZt5+te7YKJF+OIaviNTC/fWhkIfEe77sffoLAgU8PhcQK2qMFH/Hd/Ht21geTWZX69+vG430T7HP6+Juh8Z0ce0uylK22CizdiivBFeS4WbE4p0rijTGRMt/HP+oGUOkAuoVcUm6gYAM4oG82jux7Y5BuH+XWMvE9X6Z+oVh1lN1P2ASDJG4Re8vzMzUTzObWIromac0f/VoaRwG2hhTt6n/Zq/Qzvh84AHudiAWlVkoqJxGGkmoZhKr34iVe/bPhPtefwzmqhuoLLsd6LR7DQIJnqGG0s6p7ObrY1UhPfv4ba/bbsN+h6+I01BLgxQq05NNAwS2XPKf5Xaq59Utfu2mWjv45/NRKX/rSUvZ5Ty/ysKE22hdPZjx6/Qjhfq+Qv3vDwvF1CrsibqTEAzDidnLmS25Wdl1FB69aOpbt96E33F8c9komZG2WKg8izUCCbaQlK4zY9dWIG2bexYPLbR7eojySkfIc7L83IBtSpjov4HNCLxI0pnIAexcfTqJ6+zfYMRppTNdOV9249/HhNNv+sMHI92nSlG7wkGGcyYI39vOkJS8ZiHpHBv2Bs+MqYMSfE1BX7bLs1s6P7z/ZhlXp6XC6hVGROFXinEfISk4gEAgNoFEx0kxHyEpOIBAIDaBRMdpFliLj1+fRXjJRUPAADULpjoICHmIyQVDwAA1C6Y6CAh5iMkFQ8AANSu3UQBeHfk4gEAkK4XUA5mogOEmI+QXEAAAFCrYKKDhJiPkFQ8AABQu2Cig4SYj5BUPAAAULtgooOEmI+QVDwAAFC7YKKDhJiPkFQ8AABQu2Cig4SYj5BUPAAAULtgooOEmI+QVDzWJ6waYvkU2mAFl9tYNxdQq05MNF3BRFoOLFkhJWnUqx9dxfvahbLr+i49fqvC/mc10T2OH9++tDVocm2u5PD1korHOPiqPwFxhQ9ffJPCzFYNMeOU7y9tAzHIBdSqjIm6dTdpDQwDjW5zRZMuCeYNZ2/Uqx9dZfv6dUTN9sJ+ncqOv7b/KU3UroH68fX5ucVTM9FMmys5vEdS8RiHHUfbmKHLbUnE44q9bwo66cO0/dhmQ+F9uy/fByQgF1CrMiYqKFlo2hVJee3OzDqdvfqxKtv3KPDe7K4UdmHB7dr+5zNRd9zmnOy5iCaaa3Mlh3dJKh7jKCnc4fGgmd2IRThTuKU1MYEMcgG16pqJ+teJX/hHmqqP9OrHqHrf15jooTVNlJqdZqLZNldyeJuk4jGO0tlPQCzc2iNEth3kQS6gVtWZKC+I9jV9fOelFdSgXv0YVe/bwUT58Uda0ERZrEQTPWtzJYe3SSoe47CFe4sNhT7+44iFe4P+mCXsb9rm+gIxyAXUqgoT9d9vXS6cvfrxut1EheOPtJ6J2gJCjlcy0dM2MNHLhAKsFVytcHPorIqaw5w/aJmT5+UCalWxiboBwIpkQ+Fs7se2OQbh/j1bLxPV+mcSjz/SYiZqzzs+V9kgS9rUjYX7JRWPuaBFl79XVLjN93JbvO3/QmH+Dn3R7aCIZ+UCalWRiarGoRVIpaD26idS9b7tM9FzAzVay0TdOemY731L2lzK4W2SisdchFhLBbakcO/fw21/275Ie/MeviMt51m5gFp1aqJhIMmeUP6LzF79pKrdt81E88dPtdhMVFAyyxSUtrmSw7skFY+5sGNno2X2wwv1/IV7bp6VC6hVWRN1BTBvHM5cyEzDz0hoMe3Vj6a6fetNtOT4Dz3VRK/l8B5JxWMQWwH9YAU6fA+nfV+WK9xhXzprstvCZ0z5CHESkIsNqFUZE/U/oBGJH8+54nkQF81e/eR1tm8wwpSyma6873H8tf2/o4kaXcnh6yUVj3HYQkxiZeCFNRRkib2tMYHttTSzoZ8x349Z5gG5gFqVMVHolULMR0gqHgAAqF0w0UFCzEdIKh4AAKhdMNFBQsxHSCoeAACoXTDRQULMR0gqHgAAqF0w0UFCzEdIKh4AAKhdu4kC8O7IxQMAIF0voBzMRAcIMR8huYAAAKBWwUQHCTEfIal4AACgdsFEBwkxHyGpeAAAoHbBRAcJMR8hqXgAAKB2wUQHCTEfIal4AACgdsFEBwkxHyGpeAAAoHbBRAcJMR8hqXisT/QPo0sri2AFl9tYNxdQq05M9D++/vqv/tfXfyH89R/9W0Q//+Mfoja/+N1/+HeCevWjq3jfP/6puu+y4y87x6CZTJSvvBLYV3PzS5pJbQzJqm92Ie7tvYrl5u6RVDzGwlcIklb3SFYPocWZrRpi+uN9SNtAyrNzAbUqY6L/+fV3v42N4J9+l5qDMa9f/NUfvv7u3/0GbyaHSfXqR1fZvu44gsGVm2jJ8ZedI9V0Jnqy9Jkkt/wbXerNr6W6FxiYaA4Td1pQw80MXUYrFG26zRb7ULy3/enC0Sb+H9s+oa3NBy30QAS5gFqVMVFB//7nr7/cjOEv//E//QZnVsdrJ2dqf/r6J/86Ua9+rMr2PYzWGV7dTJQpOX5BJ23WN1G/zioxSmeqZo3V+oXP75FUPCZiK85mJkMLr4kxfW0Ixdw+EswUbtuOvAcqeFwuoFZdM1H/Oplt+Uem2iysWz9G1fvCRLlaTPQwTL8hEky0CV+49xkRfx0wxTps922SR4hsO6iEx56/DrxNLqBW1ZkoN6btdfwY1UsztqBe/RhV79vBRPnxSzppM52Jbhc55UN2R68zk4SJtmBjRmcrvkAnxdcX5VDQw2zI5c1to7MgUM/zcgG1qsJE/feMv/3zNrC8msyvVz9et5uocPyJztvMZKJcbpZpLnzl6P0Ph3SPhImWYuPki64h+tVmYeHmuCcLzgDoDZLWHjienQuoVcUman4ok5hVg/k197O1MTO7wP59Zy8T1fpnEo+fqaTNzCZq5C5+6RGvN8js41+YaAthFrPPWloKt98n+Y6ObgenPC8XUKuKTFQ1Bc2oFGPr1U+k6n3bZ6K9DNRoCRONfnnrdToLNYKJthJmQ7bAagXaF+GkoG/s38Ntf9scbtD3pH2AzLNyAbXq1ESNKZiZWTqjMyr7ZaxRr35S1e7bZqL543cqaRM0t4nqs03VXCPBRFtxcfczlg1TbPn3aWGWxGcyvFDDRK/xrFxArcqaqDGiEuOIZl5+ZkhNrVc/mur2rTfRkuMvaUM1jYmaf0iBmWX4TjTxQP+PLuR/dGQEEy3BFNKo+PpZDS3U7qaFFNztvy4HRxuDVMzttmACvm9e7IEDuYBalTFRN8MzxsDhjyvDDCwQm1evfvI62zeYHKd0pivvG46//ByDpjHRYHjbRX0gzzRdEdFnocF8U85mrndJKh7jCMWWIn23Fop3gBftUMylmQ3NrdQ3cCAXUKsyJgq9Uoj5CEnFAwAAtQsmOkiI+QhJxQMAALVLNVHp0SRohwsmOkJS8QAAQO1STRR6rRDzEZKKBwAAahdMdJAQ8xGSigcAAGrXbqIAvDty8QAASNcLKAcz0QFCzEdILiAAAKhVMNFBQsxHSCoeAACoXTDRQULMR0gqHgAAqF0w0UFCzEdIKh4AAKhdMNFBQsxHSCoeAACoXTDRQULMR0gqHgAAqF0w0UFCzEdIKh7rE/3j6Z9CmylXDXlP1s0F1KoTE01XJ5GW+uIrpKTLjPXqR1fxvn/8U3XfZcdfdo5Bs5koX50iXUv0u10uiraRVjpLVnKZajk0qXjMwV58w3JZniQvnn0VELZqiMkRXyFE2gZ0npkLqFUZE3XrblIjCMuN0W3GvOLlvpyZHCbVqx9dZfu64wgGV26iZcdvtvHX2jJoRjOZqCsOdLkyb5jESE0b6odun4+tYPgNm5yB0m2+n2mMVCoeE+CL76eJqVS42baIrSDT981yW3R5Lreu6/EanPDYXECtypiooGSxa2dW0tqd2XU6e/VjVbbvYbT1i3InKlkw/KTNPCYqL6DtDDGzDmiyQLczTL5g92k/t0oqHuMJxdbOgEgRNlwp3FJ/IM9zcwG16pqJ+td0BmblH5km24N69WNUve+9Jqod+zwmul37tjjQx7eysUbyJro34a+Dvn9uJipsHyKpeIwlPDo035E1FW7tESLbDs55di6gVtWZKDem7bX4yPLEQLr1Y1S9bwcT5cefyH/Gb/+8XXCyZjLRMIt0j2LD37nZozdZarzWLOPHu1aauQ6RVDwG4otr+I5MLdw2Hwf0EeG+H3uPzoJAAY/PBdSqChP13zNSY2gyv179eN1uosLxW7l+jbkazh5Dz2WiRsE8HanpeePc2zCThYlWY4vyRngtFW5OKNK5okxnTLTwz/mDljlALqBWFZuo+EOZBvNr7mdrEwwqMqleJqr1z3T2g6Eg8x2s6Wf+70SNz7lf1Aaj239hm3G+0Gb/DhQmWsdWRE386P/qUFK4DbQwJ+/Tfs3foZ3wecCDXGxArSoyUdU4NKNSjK1XP5Gq922fiZYaqJP/HMWMpzFRb3L8B0HOFHPmF2amfkaa/U5UMNchkorHGOisROJ0drO1kYrw/j3c9rdtt0Hfw3ekKciFAWrVqYka4zAzqnRGZ1T+q9pe/aSq3bfNRPPHL8l/jvK96DQmqpnl6QySfy+KX+depXT24+KetuOFGibazvNyAbUqa6LhkWTOOJLZmZ8ZUlPr1Y+mun3rTfT8+I2RM8P2j4e145/GRL358X9cwV70u/mZNtJ3oLFpun3IrFOb5Q6TVDzmISnc5scurEDbNltM+XdqYbv6SHLKR4jz8rxcQK3KmKib4Rkj4PBHmmGWFoiNo1c/eZ3tG4yQUzrTlfc9jl/qP3fTMI+JGsU/KnLEprl/T0qQZqnOSA/mMVAjqXjMQ1K4N+IfczmS4msK/LZdmtnQ/ef7Mcu8PC8XUKsyJgq9Uoj5CEnFAwAAtQsmOkiI+QhJxQMAALVLNVH+aBJcgwsmOkJS8QAAQO1STRR6rRDzEZKKBwAAahdMdJAQ8xGSigcAAGrXbqIAvDty8QAASNcLKAcz0QFCzEdILiAAAKhVMNFBQsxHSCoeAACoXTDRQULMR0gqHgAAqF0w0UFCzEdIKh4AAKhdMNFBQsxHSCoeAACoXTDRQULMR0gqHgAAqF0w0UFCzEdIKh7rE1YNsZDltnawgsttrJsLqFUnJpquYCKtTMJXMEmXGevVj67iff0SZXXriZYdf1A4Fm0tUaPhJuqXMvtBXDA0XdWlZMWWaDk1vwxa9D5BX6f0lZKKxziS+O2xqWjDVg0xeeMrhEjbQAxyAbUqY6Ju3U1qFmG5MbrNGEa8pJkznMOkevWjq2xfdxzBBMtNtOz4d9m1TP/w9de/245pShP1i2n7ApCaqHufbg7FI91Gl0uT1yXlGrtIt1Q8xmFjyJbb4py22Qoyfd/k7mObDYX3ba63Pvb2QAS5gFqVMVFByWLXzqyktTuz63T26seqbN/DaOsX5U6kLvrt+jbb7edNaKLOxMzC2d5MS6aEyeLa8r7nBumNtuQzXyKpeIzj1YVbWhMTyCAXUKuumah/nczI/CNTcaZm1Ksfo+p9X2ei1LhnNdFDV0x0qxe2oNBZ53l/h4H7DbdLKh7j6FK4tUeIbDvIg1xAraozUW5M2+v4MaqXZmxBvfoxqt63g4ny4zdin/dWJuq/P42bhu9NjSmGv3Oz0IrPe5mk4jEOW5Rt3A7o47/SNvTHLOE9OgsC5yAXUKsqTNR/z0iNocn8evXjdbuJCse/yXxPSvt8HxPNfdcZzNOR7Uo04rslFY95CAU4V3BL2tAZEy38c/6gZU6elwuoVcUmak2Cm1WD+TX3s7Uxs7/A/n1nLxPV+mfSjz9u/y4m6i789BGsezR7mGJ4LffnP+vkR0evl1Q85oIWXel9Q7aN+V5uy4P9XyjM36Ed3Q6KeFYuoFYVmahoHEaaUSnG1qufSNX7ts9EteM326kBc9IfIK1hopqBbo6ZfEdqpc02p5iFGknFYy5czPMFNtdm/x5u+9u226Dv4TvScp6VC6hVpyYaDCKd0RmV/6q2Vz+pavdtM9H88adafSYaioP4tmaK3lz5dtfXqP+thUoqHnPhZuz52Y/Whhfq+Qv33DwrF1CrsiZqjODMOJLZmZ8ZUlPr1Y+mun3rTbTk+LlWNlH+qDaV/D2paJbarHWIpOIxiK2AfrDiG75j278vK2nDttMZkd0W9p/yEeIkIBcbUKsyJupmeMY8OPyRZpilBWLz6tVPXmf7BiPklM505X3j46ea1UT37y4TgvnFPxaKoY92pXbpbFM01mGSisc47E0MiyEvrCVtcv8LBd2fF3twgFxArcqYKPRKIeYjJBUPAADULpjoICHmIyQVDwAA1C7VRKXHl6AdLpjoCEnFAwAAtUs1Uei1QsxHSCoeAACoXTDRQULMR0gqHgAAqF27iQLw7sjFAwAgXS+gHMxEBwgxHyG5gAAAoFbBRAcJMR8hqXgAAKB2wUQHCTEfIal4AACgdsFEBwkxHyGpeAAAoHbBRAcJMR8hqXgAAKB2wUQHCTEfIal4AACgdsFEBwkxHyGpeKxPWDXEQpbb2ply1ZD3ZN1cQK06MdF0BRNpOTC+Qkq6zFivfnQV7/vHP1X3XXL8fBUZrV3QcBP1a4KerScaiJYy88ub0fcpoUveB3//fknFYxx6fOJ2fLWc6H22aohpK+2PFVzyIBdQqzIm6tbdpCYQjIJus0t+RUuCOcM5TKpXP7rK9nXHEcyt3ETLjt9syy19xjXORP06or4ISCaaLF/mDfdsTVC3zNqxn+2HrTk6VlLxGIeLj19jUsG0oUU3FPt9qa3tPdqHye3HNhsK7W2ut33CayCDXECtypiooGSxa2dW0tqd2XU6e/VjVbbvYbT1i3InEhb9XsVEndGZdUGVRbmVRbRdkckZol9flPR3vs/dkorHOEoKd4Kf7ezFOVO4o4WgQRbkAmrVNRP1r+mMzMo/Mk22B/Xqx6h632eb6CHFRP2sM/XWeJbJdZiz37AJJprnSuHeZ0T+dfIIkW0HeZALqFV1JsqNaXsdP0b10owtqFc/RtX7djBRfvybwiNeCp8dU01ron4myjc7c41N8pDcly1MW1+Us0fCr5VUPMYhx0duG7BxZsWe/pgl7E9nQeAc5AJqVYWJ+u8Z6Wyryfx69eN1u4kKxy/IPD7OGem0Jhq2RzNIv00zUWX2yuVmq6ag5CL3SknFYx5CAeYF18X+4OyXnXRWRc2Bfp8H8jwvF1Crik3UPq7kZtVgfs39bG3oLG//vrOXiWr9M4nHryj3iHdeEzXy328SPj+NUUqPcyXT1eWKyqhHvFLxmAtadKX3teK+sxVn874t7ubv0BfdDop4Vi6gVhWZqGocmlEpxtarn0jV+7bPRGsM1Mi1l814bhNNZWeRkvkVzkKD3N24/t3qayUVj7kIs5VcgQ2zIakN/V8obF8b9D18R1rOs3IBterURI0RmJlZOqMzKv9Vba9+UtXu22ai+eOX5D9nyZkol2srPYatM8W6WWt/ScVjLlx89NmPQWvDCzVM9BrPygXUqqyJhu/1csaRzM78zJCaWq9+NNXtW2+ip8dvPo+Z5dk+65hoxviU/x3GyrzH9gnfiZbOWvtLKh6D2AroByu+4fEg/b7MFNtoluMfBfJHiGFf2tZuC58x5SPESUAuNqBWZUzUzfCMEXD4I80wSwvE5tWrn7zO9g2mximd6cr7huN3xhy/l+93lIkGI0sJs0lvmvQ9xfXys1Chn2GPcYOk4jGOND5pYQ0FmZL8KMWYwLZdmtnQz0j2AzvIBdSqjIlCrxRiPkJS8QAAQO2CiQ4SYj5CUvEAAEDtUk2UPpoE1+GCiY6QVDwAAFC7VBOFXivEfISk4gEAgNoFEx0kxHyEpOIBAIDatZsoAO+OXDwAANL1AsrBTHSAEPP7hZjPI1t4fvuDCnSfcF1ckx3LCOL9QszvF2I+j2zhEczTAN0rXBfXZMcygni/EPP7hZjPI1t4YKBTCNfFNdmx/BZB/Pbx9fXDdhGO+zflqoSBe78Q83lkCw8MdAote12Emm8YuE6xHctDgkgDwPn8lLdzqF9yE/35W9peYpDpoqDfL8R8HtnCAwOdQuJ1kavPpQRju9JXaT3/3N7/oNs2DzH/4D99vWvrc99ewcf2GYLsWB5SXGCi/i/oLiHm88gWHhjoFBKvi9lMVDO+/f3ts4pNlLcthfZxyI7lKYrLbnpbwKOZOTnh3JRdNVHenxHpEyZ6XfQike7WwvtjQr3rrWJOtUj8qWzheUcDXTQXRQqmRGtm2NbyOPV7mCxtMTnbPdRz+9kb5m8bX1/L90MKtT0YHn8dFLZv7Mfu+6XHE44x4xN2LA8rLiYB4djUZIQTI22p6KCl7LNZKUGkz5bkd9AcBX079zCQAtJg4TGmxSEMbhNH+ndQNPjHao6YUxXEP7qbJoQYLxR/qvlyEURqg4GHjeeDxvXdcxHOnR6/WrcLVGOiRvsNiM+RqUP287ft33xf37b36DX1fetYNNFNIR+2ndng+92PJ7zekG6IvEz8xpjoHsCNb+FkyIlqxWPHn2ipidLPo9jg3a/xRYQMEI50kXDCoLLxZ4Nu39+/zgzAOzVX4b4Y/1C0Foo/1Vy5IOL1ZE/FFmB+wxMI8X6rXGTOtwQ6hjXtsQ4xy4jnJWF73xzvx1bn7XHz195bqHE2kR6rid+4mSg/IRr3UhMNCkEOydv79u2k4LXcPXXS+CJiLmoaQ3+RW4QBF3LD7x5zhSPcJY4Lc6S5CjeP//ZHKFq00IbrIMSfa6H4U82VC68w3vfCS+IuzZr2wu6vl7fKxXagIQYtVJmoj19Oe1uNrY+ojfDaSPKBKtIcmvgNMNGTBJkEhOLBjY6bY1AIWEie1m4SzVdEaE78gNsLh39t5YuDwYQ6tDF5CjE3f9Ptk2jKwr2LxJ/G7MxEF4o/1ZS52GNNchHiHupLNJNc91qgknNBYmBrKnm9n4ewLcQw1OFT8ytg/zwSb4O92SH1fa/5hu09/lpTOGaVzL6bTPzmM1ETNGqidADvgWHmqJroGfkAvUrzFREyQPkFEBUOkjt+4YS2Ifahn0k0XcylMboXDC/pAo/ysWmR+FNNl4tgdDZmZIyHEIb3czeURm+TCxIDe+zkXPdzIdvCpnD+oU0vE93jvxG+E40IfhCOO+SJvw4i57e/F/oNfUmfs8FyaeI37nGuEQ16GHBXTDRQ+r/JwESd9oufxKPURCOF930/tKiwwXe3pou5ZKIGGlcaPwo30l3zxp9qrlyEYhlqSojhRgiZlquAGNqVc0FiQGszPX66LZxPOMez86OmaCF1J1E4lpCfrW+zT7gGTF/28/z2vT/+2mzin1tLepwmfvOYaDhBE4+wnZpolDgfUDowKdEPi0wSQgK8wn5qMXqtpioi+w0Ii1GLiYZ9TA5tPn2fNLeDNFfh5iJx5Xmg2se70mbi+FNNOf738UxyQePFjcTUlPC3FNelc0FiYOpuOJed7fUn22biR+t5Tnv9JX1kd9neDO0kTI0KcbVsf0fHvL0OMsfNj70E5ZxM/OY3UdqGmyhPbjhR2i4EbA/C9t/QPmy6WdMUkRDbEE+qfVCSAZiLXWgfipHt2+8b8iEZ702aqnBLokVAG5d8/FNNHn+qqXKxXwMKSvE8cuFjTLV8LrZj203Un4v9e4uFqbn0e2MJLWZGe9w2TLM9/kIcd20Nwz4S/Fe5+3vhNes7+EY0QQifQa8tcp5Kvkz85jFRe2L+BMJ2+v/9mJPQikgISkhe1I4EwrwtBvBeTVFEzgYvH+xGe6Fn8Q8DkMZ0ssIxVeE28dBm+CG2SZtNas7mjz/VVLnYY6ogGgLJV/L+O+SCjkdCONWoDvjzpagmSvrd40P2V/fzbez7wt8B/v+J7q/Z9RI8oIYlTJQqbKfTfZOw734A8iKeNVH6msA+8k4NLyJSPCghNlqBEfMl5cRvCxfdk2NOlYt/MoYF+AW9QPyppspFoi1goRDv8dr+oPHfYTE3eotckBgEcqZnz287r1AveH2won1K8fHviWalxd+z/1KXfsa2bf9M8zcR/bxSljNRI62ISCcTgpIUoJAslgQxyfdpeBEpNVHpYuLxD7FPQsr2fXrMuaQc8BAlbcJ4Jlok/lTT5SISiRsNWahVAf6UwOhtckGON0xkwnW/x4GOxe18zPtqPd9e2308SQ0nnye+7/e3/Qp/77kI/QTT5K+9Qp6iHPq+ovMix5Uck5OJ35wmGk7S4gNABzEfwLyfM5OwsMDeqLmLyHsKMZ9HyMU8knNBzMPUVPO9KJWZTfOazfcJimr5hmJG0f4W+plbf7QPTquJ1jCdifKT2IPOAsnNku5n9tmfzZNtRpqJmrf5e8lgeL1QRO4XYj6PkIt5JOeC1OHT+ri9T+upIRgOr/OnpZbVf4PtS/gMivEJ+ln89VuaaGR+7ARDwLSA07ugyBBJP/v2LVj2e1T+GZvM7HWAgRqhiNwvxHweIRfzSM5FjYky4+MTH1vrhfqbk91nq927b3lPSI7FbzefST3FGB71Br5fMFF+rInIuU1nog8XYn6/EPN5hFzMI+Timkz8YKIDhJjfL8R8HiEX8wi5uCYTP2ui4F4gCIKg9xBmohAEQRDUKJgoBEEQBDUKJgpBEARBjYKJQhAEQVCjYKIQBEEQ1CiYKARBEAQ1CiYKQRAEQY3KmOh/fP31X/2vr/9C+Os/+reIfv7HP0RtfvG7//DvBPXqR1fxvn/8U3XfJcf/T7+L39faTaPvn18//PDD1w/KP+n1/XN7z7zv+aD/5NXP374+yHuc0CXvg7//aCH+8wi5uEdvHGfFRP/z6+9+G5tAMAq6zZjXL/7qD19/9+9+gzecw6R69aOrbF93HMHcyk207PjNtl/89s/HP/U4rX7++vZBBpgwutxA/Dz+6WI/+KNBLejnbx/Rfrafj28LxOROIf7zCLm4R+8f5/LHuf/+56+/3MzjL//xP/0GZ1bHaydnan/6+if/OlGvfqzK9j2M1pli3UyUKTn+dUzUDbqPr28/+4HNB7S/4+OD93xwfv/6ZBfIswuHLMR/HiEX9+gJcW43Uf+azsis/CPTZHtQr36Mqvd9tokeUga0vwNMx3l8x8d1XCh+wyYU8ZwQ/3mEXNyj941zuYlyY9pex49RvTRjC+rVj1H1vh1MlB//pvCIl8Jnx3Mpf1fIN7uBHg/YQ3JfdkBvfVHOHs88R4j/PEIu7tH7xrnQRP33jHS21WR+vfrxut1EheMXZB4fz22kyoAO26O7Ob9NG9DKnSSXu3NEIXdC/OcRcnGP3jfORSZqH1dys2owv+Z+tjZ0lrd/39nLRLX+mcTjVzT3I15tQBv57xoIn59m0EqPVqQLQNeoxy3zCfGfR8jFPXrfOJ+aqGocmlEpxtarn0jV+7bPRGsM1Mi1P/th1CjlBnQqe0cnDcTCO8Ig97hF/57jOUL85xFycY/eN85ZEzVGYGZm6YzOqPxXtb36SVW7b5uJ5o9fkv+cJWeiXK6t9EikboD6z3zxXeEaQvznEXJxj943zqqJhu/1csaRzM78zJCaWq9+NNXtW2+ip8dvPo+ZZck5j1XpgM4MQuWn6VbmPbZP+H6i6Bp6eyH+8wi5uEfvG2fFRN0MzxgBhz/SDLO0QGxevfrJ62zfYGqc0pmuvG84fmfM8XtzPsYNgyol3Nn5AUzfU0Zg/o5Q6Kf47vF9hfjPI+TiHj0hzkU/LIIgCIIgKBVMFIIgCIIaJZoofTQJrgNBEAS9pzAThSAIgqBGwUQhCIIgqFHWRMG9/On//j8AAABvAGaiAyQlAgAAwHrARAdISgQAAID1gIkOkJQIAAAA6wETHSApEQAAANYDJjpAUiIAAACsB0x0gKREAAAAWA+Y6ABJiQAAALAeGRMVVhsX/kn85F/pTxr16kdX8b5+QdeavkuP38itMkBQGkqJuIf//vUjPb6NH/+hss3//O3XL9n7FNr29//tV/H7P/33o59HUhJ/x9//FLeTYterzTMpywWP3y//2/9O2gT28f4Xv/36ffReed7Beigm6paVoR4QDIJuc+b18XUs7+YNZ2/Uqx9dZfuyZXIK+nUqO/69f2kNPEFSIl7P//76zV/EF28oEHxb2uZXX7/5n8c2CVdAfv3199Frup8vJI8t4mXxD+3SQkzp1eaplF8LdEz/6R9+bduIRmpvLn/19eNP27hnMW+9psAalD/OTRZEdWbFF0h1ppZZx61XP1Zl+x5G682u2EQFCQvDlh3rISkRQ/CzytzddVGbxCDda74PN9rHI8S2JEa92gACz4Uy7q0BJjcmzpRNWxv3sxuXomsKrEK7ifrXiR/5R6aqT/Xqx6h631eYqOuTG3lOUiKGUHIx+zbxbCnGFWxyZ63t4+/kc309iiT+RzFO2u70agMieC6UsSrdnNBtNSaK6+A9KDdRbkz2NX2M6qUZW1Cvfoyq9+1govz4w2z489N+pnnPIRyXl5SIIZyamivG+aLg29DHtLZf4XEVikdMEn8/g//p1zZOx1hKH4tfbwMieC6yN4L6DeO5iZZcU2AlCk3Uf89Iv/NrMr9e/XjdbqLC8Yvb/Ocoj3ilRNyPfwSbXMz+IjfvWU4eCUpGDBMtQIq/tC3kI+ShVxtwkImXGMNjbNvHu+QGUjbRsF8AOXgnikzU/ZiGmVWD+TX3Y9vQQejNqZeJav0zicfvTTR5nOv7lOIgJeJuSn/c4B5VaY8GpUKzARM9RY6/K+ZJrKMblV5tQEC/Fry5En7cZve7Cdp4xoZY8jg3f02B1Tg1Udk4NmlGpRhbr34iVe/bPhNVj18zUdXIx5toqYE6MjMYrSiXPgp7KGdFOymuUTx7tQGGumshNkm3r45ukplrCixH1kSdcchGoJmH9EvVXv2kqt23zUTzx+/75P97S+YmQErEXYQLv7yQKrPNDdeXVAjkIu7uwJ9dOPLxL5nZ92oDWq8F3RzLZqK5awqsh2qizog043BKZmd+9kVNrVc/mur2rTfRkuN3hknbOHPXPkdKxB2Ex0h60TDmx0zOzza1WY1WUFyBIgX7pP0TOI//ho/30cbdkKQ/3OrQ5sEU5SKizPhSE624psCSKCbqTUAknl2FWVogNq9e/eR1tm8wwpSyma68b3z8yWdkXFdKxOvxRVTkMLtQXChSodFnoQfhTj/w7KJRFn9DkgPB+Hq1eSYlufCmSd8riF9qouXXFFiToh8WQX0lJQIAAMB6wEQHSEoEAACA9YCJDpCUCAAAAOsBEx0gKREAAADWAyY6QFIiAAAArIc1UXAvUiIAAACsB2aiAyQlAgAAwHrARAdISgQAAID1gIkOkJQIAAAA6wETHSApEQAAANYDJjpAUiIAAACsB0x0gKREAAAAWA+Y6ABJiQAAALAeGRNNVzCRFiY5X72kVz+6ivf1S5bV9H16/H7pNfo+RfooKRH3kK5eoa/QQsgs/7SvUHGxzTM4j38S+8J20go5WEWnDH189rleSnP67uTqQLLSzUIrFykm6tbdpAYQlhuj25x50SXBvOHsjXr1o6tsX7+OqNle2K9T2fFLcsclL7UmJeL1uKWd6IUbLu50G13izBcSyQDtGqG/+vrxp23gagZZ0uYhmNimsY6XQbPbTuKU5EhYn7KkDdjIjM/ifJ1cL7bNw8d+Ls7O+GhcfQyJAfZq8wrKH+cmi107s5LX7sys09mrH6uyfQ+jrV+UO1HRguH5mwApEUNIFsr2ayiyQecGJ1871LU1+9r3xSJR0ubBJPEvKLjCPoZov5I2YKNyfDZeL4h7Ls7O6PhYjWPYq81raDdR/zrxCf/IVPWpXv0YVe97j4kepu03MEmJGEJRET8vFOmFUd7m0fj4J7OdXJz8jJLuY4iKRUkbUD8+i/KVXi9PN9FsnIWYWugY7tWGbu9IuYlyY7KvBaPQjC2oVz9G1ft2MFF+/InOP0NKxBDEAeYfgdjHIuFvVnjZgBULUEmbR+OLLYuJLbg25gfR3XW2WPhHWSVt6PYnUj0+5XyVXC+nOX1nzuKsjUm6X682dHtHCk3UP578+LZZhFeT+fXqx+t2ExWOn+vUZGcxUX/Bi4UjFAMHH4C2KJA7bakAlbR5Hr4Q77E9nxXauG1tj6IrFfPQbygiJW2eTdn4LM1X/nrhpDl9X07j/BQTdT+mYWbVYH7N/XhjOvDfd/YyUa1/JvH4I/n+cya7SUrE3bi743TQhQs8DLrwer8Q7GCNi4l8YZy0AXtsz4qpzVUUu7ho23z9xGNe0uahNI5PKV9hm3q9KKQ5fUOKa8Wbm6hqHJpRKcbWq59I1fu2z0TPDXSTN+Oz7qVE3IlmoGHAJUXdDlA3EN2+OmbfkjZR/48lzHTyxubimW9TbALvXrgLaB+fLF8F10u0nVCS09UpirNmctQUe7Wh2zuSNVFnHJoplP0y1qhXP6lq920z0fzxH3Ltzo55rImGgS1e4NrFrw1QDwp4K9JjV055m/zNSUmb51I2PlkuGq+Xspy+J2mc3RMTPi5tu/0mo1eb16CaqDOivHEkszM/M6Sm1qsfTXX71ptoyfFbVRyzlIg7cAMqd3H7R4Ds4j67a04vjJSSNu+NiS2LoS/C+4Vvii+L0XnOyk322fHPk47PgnyVXC9NOX1fpDrg4kVmi/4mhBpirzavQDFR/wMakfiRZpilBWIT6dVPXmf7BiNMKZvpyvtKx38+CzWSEvF6/AUvQh93SO3yd3IlBlnS5t0JxZMSF1JvdlEbHnuhTfL9W0kbQJHG53m+DGfXS0lOn4NWB5wBHkjG16tNb4p+WAT1lZQIAAAA6wETHSApEQAAANYDJjpAUiIAAACsB0x0gKREAAAAWA+Y6ABJiQAAALAe1kTBvUiJAAAAsB6YiQ6QlAgAAADrARMdICkRAAAA1gMmOkBSIgAAAKwHTHSApEQAAABYD5joAEmJAAAAsB4w0QGSEgEAAGA9YKIDJCUCAADAemRMNF3BRFoOLFkhJWnUqx9dxfv6RbPr1hMtO36+kswPH9++tHVopETcQ7riRG45pn0VC231Fb80lLxCSN1nPY1cbPlKFLxN8r6Hx3fEihZr8a9fv/n9f/364X8Q/vn7/v7f/zN7z/PLf/nX4j7K24BVUUzUrbtJzSKYBN3mzIsuCeYNZ2/Uqx9dZfv6dUTN9sJ+ncqOP10GzR+DYqRSIu7AFFVaaF2RVVZ9t2vx/errx5+kpYvY8k6CiVZ91tPIxNbFiS6V5W9GSDvbRjBfStJPshbm0/n+9SM1tcDv/+GI86mJKn0YdpMsaQNWpvxxbrLotDMKee3OzLqavfqxKtv3MNr6RbkTJccv95k7fikRQ1AXrXUmabbr6ywaQ/RmWrJW5U0L5M5PLrZyPF28D0M8NVEl1iXm+xR2gySmqbX58Y/y+84g/+brN/8WXpMZ595vSRuwMu0m6l8nfuQfmao+1asfo+p9X2Gi5uO2PqNZZ/5zpEQMwRdb/hiQFm3JRA/qTfTpj3TPYpsaXRrjUzP0s85cXun25xFmh9TcUs5NlHMYZPzIt7YNWIlyE+XGZF/Tx6hemrEF9erHqHrfDibKj9/KP761xxL+1mfRUiLuxxdnXoyZ2fUxUeWznkZRbMN3yWamH/6Ojc89qo2JZp3aDYs1VzxS/9O//cPXL72J/pJ9V0kNU3ycy2ePe18HiTmWtAHLUmii3hjobKvJ/Hr143W7iQrHvyuYpyP3EVIi7sGb2X6c6azEFmhiiu0mev5ZT6M8tvGPss5m726GSY1UumkJ+YCJ/umPfxsZWswxO9W+E42MVDBIQ2SSJW3AshSZqPvhDDOrBvNr7se2cQXF4Wd5vUxU659JPP5N7vvP4/PC69kf5ybF185UYrNrN9GYtNA/jMLYhjhFs1Uzlk5inD7iFX4d/VN6DI9kN9G/JbE4fgCkmdthqtpjYPor3CttwEqcmqhmHKpRKcbWq59I1fu2z0TPjp//uMkdg2TkE30nus9OXGGVHhNSUgMsN1H+WXKb96Uotv4xbBJn5TtOius/H9v8DdGDII9zqYkFk1RniMp+EWSWq36XWtIGLEPWRJ1xyEawvWsfX3LzkH6V2qufVLX7tplo9vg1s1RnwxOaaKaw5gtvg4miiO8ksdXM8vRHWSWxdW0e+yQgQph1kkeu1tjMa/b95zET9TPYpI0wyyxps78HVkQ1Uf6IUlIyOxNmZb360VS3b72Jnh+//D2pOy75JkBKxOsxj/fYTMUX7VxhbTPRts96Gmls/SNYFu9olmkMlb1v+9n2u2ayz+L0+05iqhzJeBPC/wNa0gYsjWKi8Y9kYuJHmmGWFojNq1c/eZ3tG4wwpWymK+9Lj19qp/ctJeIOQrGl5B4RGiQTlfpxHMbZ8llPQ4qt9F1m/JjWG6L6vtKm6GnBs0iMlJtaYoDCzFEwyeQRbUkbsCxFPyyC+kpKBAAAgPWAiQ6QlAgAAADrARMdICkRAAAA1gMmOkBSIgAAAKwHTHSApEQAAABYD2ui4F6kRAAAAFgPzEQHSEoEAACA9YCJDpCUCAAAAOsBEx0gKREAAADWAyY6QFIiAAAArAdMdICkRAAAAFgPmOgASYkAAACwHjDRAZISAQAAYD0yJpquTCItB5askJI06tWPruJ9/dqfdeuJlh1/zSo0UiLuZl9lRVgeK1mBRVgBhC8yzZc40xahxkoudD1JD1k9RFuiK10oOt+P4ff/8jfx+2x9zKeTHcN+DVf6PuUYx+mqO7kxnrvu3pV0TPv1WAklY7VXm94oJurW3aRmEUyCbnPmJSwJtjfq1Y+usn39OqJme2G/TmXH77aRpc+8WWtGKiXiVmyB+NXXjz+lS3G5i/xXX7/5n2GbLxLESKP1LQ3CWqG2zYMKRRnHYtDahV5mou393FFUVqBkDEu46+PYz/RDTdP1S68fQua6e0+EG72dw0hLxmqvNq+g/HFusti1Myt57c7MOp29+rEq2/cw2vpFuRPx41cWAbfGyhbqDpIScR9urUlTLGxBiC5mZ5i8kESFw9+h8zbcNGGiKftFnrmoQ5vcepOn/ZD1K/d+/vi3bh9pTcynUTiGU9IbygSl7/x196bs45CMOb6tZKz2amO2vYB2E/WvEz/yszDVp3r1Y1S97wtMVPms3E2AlIi7oIaYXMy+ACSPo/xdut1O/yZtIqPdgIlywuwxf0Gfm2hBP3vxoI/Njtmr3vdDKBzDHPe+MssMKNdQ9rp7W6SxGrb5sVkyVnu12bf3pdxEuVnY1/QxqpdmbEG9+jGq3reDifLjzxq5cGybpETcArvAk4vZFhehSND9skZ77Osea8Wkd+cPgtyB/5I94qIXuPhIis44C/rZvxeKZqrHo7X0+9WHUTiGY9xMMjsLDW24QZ5dd29M8h2lp2as9mrjtvWn0ET994z08WST+fXqx+t2ExWOP/QpbZvMRK2xkSLQZKJiofDbMnfp7k78wUa63ylLHHfqookaQnEo6AcmekbDGFZmr8d+gXQme3rdvTt8zJJx+RgTdT+cYYbQYH7N/dg2YZAa/GPSXiaq9c8kHr+VN1fC56fpc6LHubYIxBd4m4kahF8k/pT2z3n0I96Tx03aRX6Yqjfagn5goiXUjGHJdGWSm8WS6+6Nib+/P8ZpGL+PMFHVODSjUoytVz+Rqvdtn4nqBirLfic60Q+LpMerFHvRNz3mcpQUBncMeaN9W8hjWPpdZigy6kXO9yvp58RoX/n90MqoY1idhUqEmakb50XXXdLHmxDGYc7YSsZqrzb79r5kTdQZhzSjMyr7ZaxRr35S1e7bZqL545fkPocfV5CUiBGkRaPg17kirnDkC0L53fx7clzQu2HuhugvcvM6KjiHOR7FobAf+tq02YtMbL4goI/hupu/83H+lJnoPjtUjM2O35Kx2qvNfgx9UU3UGVHeOJLZmZ8ZUvPo1Y+mun3rTbTk+GP5z1BmoUZSIkYgXcyuYJBZp5+d6gYpFA2zD+vXGXHp3fx7chgiIxgnKQSc3TBL+sm1Yf8gAzBkjC87/s1NJzNXP2vN3VA+xURz45kaW8lY7dXmFSgmmn7HdxA/0gyztEBsXr36yets32CEKWUzXXnfcPzeNOl7J44rJWIE2sXMH0HFBcEXHPJ++otFoc1TH+MykgudX+BJ4ZHvok/7IY/NAtSIn03JGHaczULDzSHl7EbxMSZqEI2UzkwNJWO1V5v+FP2wCOorKREAAADWAyY6QFIiAAAArAdMdICkRAAAAFgPmOgASYkAAACwHjDRAZISAQAAYD2siYJ7kRIBAABgPTATHSApEQAAANYDJjpAUiIAAACsB0x0gKREAAAAWA+Y6ABJiQAAALAeMNEBkhIBAABgPWCiAyQlAgAAwHrARAdISgQAAID1yJhouoKJtDhJskJK0qhXP7qK97WLddf1/YrjlxJxN/vqE9WruBD8sk/aChiB3Gc9DR7bkvjzNsn7Hmn1kKTtSa7enotjtjT2yeoumc/D9bE2iom65b2oD4Tlxug2Zxx0STNvOHujXv3oKtuXLVdW0G+QOd70+ONl3GqPX0rErdg1En/19eNP28UrFgmy9JO4PiJbSipXkDKf9TSS2PpF0GlcitucxjKzRuYj6TNmS2LvTJGsyRtyKH0mro/lKX+cmyx27YxCXrszs05nr36syvY9TM6baYWJJupw/FIi7sMVE2OK9mKnF66yADEvHEeR8IVJLUiZz3occqxcLINplrSpKeTUjJ9NrzF7HntnmPwakvOB6+MdaDdR/zrxI//IVPWpXv0YVe/bz0T3LhqOX0rEXdCLOblw/axTfjQlFeR8Qcp+1gNJC3Aav7Y2nKM4y+8/mWtj9jT2/kY0ebQuXFu4Pt6DchPlpmBfx481rTRTCerVj1H1vldN1O//8W37y6vh+KVE3AK7wJMLN1sA6OOpQKYgnX3WI/GP9Wwsw9/85uS8jS3kdvtBbJh+NvTTr20OjnZSDp/GtTF7GnvtWuHXFq6Pt6HQRP13fBfNo18/XreYqN/HHLeFPaJdyERtASDFI71wfYGRtlWa6PlnPZVgjI7khqW4zYGN7dbuKOZ+fzGP3LSfRt8xm8S+0ERxfbwPRSYq/ZimxTya+7FtzL4Bb2S9TFTrX5D7rpM8jm6Ig5SIl2Mv7riAyhduXMANP24zGrn4KgWp+LOeRSi40ezDxJgX05M2ErYo7/H1M1H+ONfm5dyU35v+YzaKfYmJ4vp4K05NVDQ+I80kFFPp1U+k6n2vPs41CjNTb7QNxy8l4tXYC307To2k4BL0C1wuSFc+623xRTRrbCVt6HaCi3kozIqJstnQM+k/ZqPYazEm5orr473ImqgzPnk2tb1b/KvUXv2kqt23o4nuj6Trj19KxAjK7n5d0ZEvbOWuXuDxd9qaESYzlJM2dPuOz8MeX/7aQwp5vP+T6D1meazlGxjbF5t9Ju8/+fpYGNVEw2PLnN8ks0s/K6OG0qsfTXX71pqoMUhmhHaGGfdfe/xSIkZwfuEqxZi/DxMtQPqeUp5BZtsYQ2XvuwLNTDYxZN93Qa7emwtjtjD2Ll/kZsXfBOVmmLg+1kUxUTe7MoMjJX5EGWaZgdg4evWT19m+wchTzma68r6SB9ccv5SIEaQXri8w5DykYhMKRwrutPN4I8vG7KyNkCMl7kmeHmygfcZseez5I9uzR7S4Ptal6IdFUF9JiQAAALAeMNEBkhIBAABgPWCiAyQlAgAAwHrARAdISgQAAID1gIkOkJQIAAAA62FNFNyLlAgAAADrgZnoAEmJAAAAsB4w0QGSEgEAAGA9YKIDJCUCAADAesBEB0hKBAAAgPWAiQ6QlAgAAADrARMdICkRAAAA1gMmOkBSIgAAAKxHxkTTFVik1UuSVU6SRr360VW8r1/GrG490bLjtyrsX0rEHfz9P//Xrx/+R8ov/+VfT9r9bbJSRdLmn78f7//bP3z9kr7H+PGPcV9vj1+WLLuKykmbs1VB+PsBaQ3SpO0jVndJV8dR12ctyFdRDDvkfUk6xK9kBaJeba6imKhbd5N6QVjqi25z5kWXNPOGszfq1Y+usn39OqJme2G/QeZ40+OPl3Gr7V9KxB2cm+i/fv3m93Kbw0gzbYKRwkQ9bOks8QI+b+MKDllyyxcpaqS2zelSWv6zHrfkljvvdM1PbqQV+crGsKKfbJvV6BM/Z3x08fh0LdxebXpQ/jg3WWjamZW8dmdmnc5e/ViV7XsYbe2i3IKEBbdr+5cScQfBRFUT283vb75+82/Ktj/+rTfDo83v/+Vv/LZ0xrqz75dp82YcF7EvHMLFe9pGWdCZm2aJibrP0tfPfBRCXMvzlY9hl7wvSJ/4OaPj4z3er1ebPrSbqH+d+IV/pKn6SK9+jKr37WeicheLm+j//f71IzPIY5szv90wf/8PpGCHNlrfZPZKH/s+hpJCqbTxs07+6JEXg3MTdf3zovJYlJsTh5av2hheyPvSXIifz0vyqJ1eB73a0O0XKDdRbkz2NX+suSlrMpt69WNUve9VE/X7f3zb/pK0holGRGZITJKxm6M4ozwxUWH2+iwuFNNsMTB3/e51eDxJiYuVvzP/6de2v6Pd0cejyBZTLV+1MbyQ96W5ED82rnfoddCrDd1+gUIT9d8zUvNoMr9e/XjdYqJ+H3Pcltwj5gVN1MCM9DA94f3q7zufPgs1XCmmfns0y/Tb1OIdZqrUSF0Bk/vp+3hrfqRYULRc1MZQ64dS0mY1LsTvXU1U/DFNg/k192PbmH0D3sh6majWvyD3/Wf6PazT3CbKOUz1mCHu26xxHjPMaObJjfT3f7O/TkyUtJUf9T6Bq8XUFx/Cj9vd/Jn5xY94XR/JozRbbPoWldlxs3b9BuTMBMpjeDXvq3Ihfr0MsqQN3X6BUxOVf426STMqxdh69ROpet+WmShXmJlKRruWiao/GopmpsdMkv+vMDt7P+mPhmJTjt97Dv2LqZ1pqjMphzOLYLRKAXtBUZmZcwM1VJqAGsP+eV+DC/HTYklNsVcbuv0CWRN1xifN6IzKf1Xbq59Utft2NFHxe9GJTdQYHTOyYybKfjSkfN8pm2jmcS1moZ7exdS1TYpRhO9vN1r+2vOCojIr4Xvj1Ow4Wi5qY6j1QylpsxpX4icbbf0vb0va9EE10fDYMucHyezSzwypqfXqR1PdvrUmakyambF/9HulfykRL4cYGmc3x0yb45EvfcQrvX/ATZq+9yx6FlOhEJm7blaYwneikWHYYkW3uULzXgVcRoyHSiYXVTHsmfeVuBa/5GmBn1VSQ+zVpgeKifofAInEj0nDLDMQm0uvfvI62zcYecrZTFfel3tkbf9SIm4hMUnh17KikcYmeJijR3pUS/pRHwO/OaFwpxx3wudtfEGi7yXFSWij3G0nn/dWxVvDF2qRo8iW5Etsx2LYJ+/r0St+hvDUICAZX682Vyn6YRHUV1IiAAAArAdMdICkRAAAAFgPmOgASYkAAACwHjDRAZISAQAAYD1gogMkJQIAAMB6WBMF9yIlAgAAwHpgJjpAUiIAAACsB0x0gKREAAAAWA+Y6ABJiQAAALAeMNEBkhIBAABgPWCiAyQlAgAAwHrARAdISgQAAID1gIkOkJQIAAAA65Ex0XQFFmmFr2QFk6RRr3509ToGTcXH5pdJm3IpNL8MUHQeBLpEVHaVhZJ+Kj7rEfjln3IrpvDVJsS2Bf0Y9vzxdRvpe7nPeUvSlVzScdirTUWcC3MK5kUxUbcuJvWCsNwY3ebMhS5p5s1qb9SrH129jkFT2bH5dUTN9oLjlhIxCnex8yWayBp8wnp/ErwfiZI27wVbokyMoW8jGF7SJtuPx97A/Orrx5+2WItrjNbn9h0wNynU7NxNC42Fi3Hahm4raVMa54qcgqkpf5ybLHbtzEReuzOzTmevfqx6HYOmsv4Po514UW4RfnG713zNvXPzKynGzynYgaOY+oIpnHvJjUVJPw73vsmf3Scy0dbcviklCzQ3tSmLc3lOwey0m6h/nfiFf6Sp+kivfox6HYOm6v7XMtHjQvbbfEGgd9WWZDX6mKQfgZI274tWKA/Ti7dr5AsuLdT2b2qijbl9W7R4UFpMtDrOMNHVKTdRbhz2NX3M6aUZT1Cvfox6HYOm6v5XMlHh4rUXumB02YJTUgSeXii08/ezlp9+beNrxqRDu9nIxJHlKDHRpty+Kz6O2UfoGyU3GLxNdZyffm2sT6GJ+u8BP75tNuHVZGC9+vHqdQya3tlEpQLRUmhbCs3jyJtoXMx9W/ERq15w7XdzZDtMlBPiGjh7hC3lhiO0qY4zTHR1ikzU/RCHmUmDgTX3Y9uYfQP++8iux9Cj/1VM1F+4vEC0FoBsoSlp8+5ohVL+/ky/6VD6se1jU4CJ5nGPvvVHtekPj1LENjDRx3FqoqLpGGlGohhPr34i9ToGTdXHtoiJakVau9C1wqD1Qylp8/ZUmmhlwQ2/ENWw/dfm9u3xsRRmpM0GaqiOM0x0dbIm6kxHmnEZlf8ytlc/qXodg6baY1vDRF0BkB5nyUXd3bVrxSb/WKykzfujFUq/vfSJQEXBTWailbl9f+TYu/Gav+nLt6mNM0x0dVQTdUaRN51kZudnbtR0evWjqdcxaKo7tgVM1N8pJ7MfjysQpIBr7U/6sZS0eQSZQpnM1F0RlovqFROtyO3bYWLKDMzHnZ67M7q8gZa0qYszTHR1FBP1P74RiR9jhhleIDaXXv3k1esYNJ0dWzDpFHkmLSXiLtwFXjJ7PJAu/vJ+njjLcYSCmxLHJGnHCmppP8k+fIa7UZLbd0SKYWyE/uZFJBhiSRvHWZxbcgrmpOiHRVBfSYkAAACwHjDRAZISAQAAYD1gogMkJQIAAMB6wEQHSEoEAACA9YCJDpCUCAAAAOthTRTci5QIAAAA64GZ6ABJiQAAALAeMNEBkhIBAABgPWCiAyQlAgAAwHrARAdISgQAAID1gIkOkJQIAAAA6wETHSApEQAAANYDJjpAUiIAAACsR8ZE09VPpBW+khVMkka9+tHV6xg09e5fSsRd8NUlpJU+AvtKE02rgaQrXuSWj3pPKmLgl+ZKlsTyy2jRPii0v5LcPnUVF4o4ri/EWV/liCDkIlnJZfnl0ErGe9k1URKbXm2uopioWxeTGkFYDoxuc+ZClxPzZrI36tWPrl7HoOkV/UuJuAN3YdOllvyAlozUFpVfff340zYI2ftJP8najG6NRKnwSBfMe1IaA7+epMmDofAid8XhyEFJbs/z9gAy41riNM5CDEty4fqly6f5NgsbqTnvdLzTcyy7Jkpi06tND8of5yaLUTszkdfWlNfRtOrVj1WvY9D0mv6lRLweefFfXiRoW1MY7Pu02CgLDNuLIVeUlP0ehRCD40KX8yPDi0FBblvz9lZkxrUIi3NRDEuuM9cv7ydu8waUXPNJm5LY9GrTh3YT9a+T2db3z+0gM7O8Xv0Y9ToGTS/qX0rEHaQF8/yCt3/TffyddzybKhicJRfUu5ONQbmJuljTO+yC3Lbm7Y3IjmuBJM6FMTzNhR8HvB+t/2XRzpPCr4mS2PRqQ7dfoNxEuXHY1/Qxp5dmPEG9+jHqdQyaXtS/lIh78HfWtjCEv1kBZYMvKTbZwRkX9vT9voN3ObIxKDVRrd1Jblvz9i6cjesEIc7FMTzJhRZzrf8l8fE7uVFJromS2PRqQ7dfoNBE/feAH9++dj9pMphe/Xj1OgZNL+pfSsR9hIvawQeTvYsmhSMtNtLF4bdJg9biP/PsgnprzmKgmSODF52IXG5b8vY+nI9rhhjnmhhmcnFjgb+XEIsAu0FPEK6JXgZ5Y4yLTNT9UIaZSYPBNPdj24TEGPz3kV2P4YX9M0mJuAP32OkYQOH1XlzswIsHvlxs4gJh+/wp3TdgC5g0oB/EeQx8AcqaqFTEHae5tdTl7W0oHtcBPc4lMTzNxY0FfiThvLWvcMRropdB3hjjUxNVTUEzEsV4evUTqdcxaHpR/1IiXo4fPMmAtoPNDSo3qHVy32dqRQkGWhqDAhMluYq2F+Q22k7Im8l7UD2uC+JGiWJYkgutkNs273SthJlpepOmXhMlsenVhm6/QNZEnSnIM67t3eJfrvbqJ1WvY9D0mv6lRLwcehHT7dpg85QVWXex8MIRipfW9xMoj8G5ibq+hFljY261vD2B3LhW4yzCYliUCzeb5XG3x1T8uSvgxzSLc/6aKIlNrzZ9UE3UGUXeFJKZl5+5UdPp1Y+mXseg6RX9S4l4Pf4xlDig9UGVKzYO+UJxgzVXwN+fuhicmKgvwrwoOFpyK+ftKajjOhtnjhTDsly412RGVPW5M2LOm401f0NBz6nkmiiJTa82PVBM1P84RiR+XBlmYIHY+Hr1k1evY9DUu38pEffgL/CI/F1ZWmx84aB9JIVf+pxA30cp81IWg1BUUuK88CKccpbbkrw9B81E83EujWHZdeY+62BdA3VIYzk2y/K6UBKbXm2uUvTDIqivpEQAAABYD5joAEmJAAAAsB4w0QGSEgEAAGA9YKIDJCUCAADAesBEB0hKBAAAgPWwJgruRUoEAACA9cBMdICkRAAAAFgPmOgASYkAAACwHjDRAZISAQAAYD1gogMkJQIAAMB6wEQHSEoEAACA9YCJDpCUCAAAAOsBEx0gKREAAADWI2Oi6eok0lJfYRmwnaRRr3509ToGTb37lxLxUvySRNqqHcnqC9rqHif9FK+YcNLP+5CuWiEtAVWz0sSeK2kZL0MmtvxzAm+/XJ1fAks6d0Ny/oXjM5eLkpwWX3dgahQT/fnr20dsBGE5MLrNmQtd7subyd6oVz+6eh2DppJjM/2l/cvLoBlJiXgNbOkm4SJ1FzJdhsgX/qjteT+uaJDlnnwhiovHeT/vgztXWqBDYU23ncXNY83gV18//rTlLCnchTnSzPeBuLGfWS4uNz4zuSjJadl1B1ag/HFushi1MxO+7qcznc/tXUW9+rHqdQyaXtO/lIhXcFyovjgkF6i7cHnB5sXltB9lsVtetM+P583hcSqMm8PFzLS1cWTvl8QWJkpJTat8fGZyUZTTsusOrEG7ifrXyWzu++c2EDKzvF79GPU6Bk0X+9felxLxWpSi4C947XFW+phP6UdprxeFsyL1pvACWxE3ui0p3BF6bGGiBy6exjCl9/PjM5uLkpxWX3dgZspNlBuHfS08sjwxkG79GPU6Bk1N/bvHxz98fNv+kiUl4rXkzE8oJNpFrvWTLQpSoXqoifIiWRo31u6SiW79UPhs6Bmcjb/M+2e5KMlp9XUHZqbQRP33gNQYmgymVz9evY5BU3H/3jhNv5b8Y2gpEa9FKQrVF7NWXPz2qLD7bTBRj398KMXoJG7W/EisWk2U42ZHDzRSfjOToMfwPBcFOYWJvhVFJir+UKbBwJr7sW3MvgFvUl2PoU//Ru470/HfiR4oRaGbiRq8SRB+/Mn0j8e5BjcLlG4oTuJmcxTHsJeJGp73iNfHJ3vOueulJBclOYWJvgunJqr+0lQzEsV4evUTqdcxaGo+tjAzlWekUiJei1IUtItWu8grC7Re7Ov6WR3dQGVo3Ny+Oukssi62rn/pRudNsWP7zKjkGNbn4iC6FqqvOzAzWRN1pqPNuMp/udqrn1S9jkFT67HlvxeVEvFatMJa+yvBmgLt2sqFpa7Qr0wovOWzi1zcHPrNiaE+R3pf70fZTUN5DPO5CPCc1l53YGZUEw2PJHOmk8zs/MyNmk6vfjT1OgZN5/0bo2WGameq+vFLiXgtelFwRYXc/fq75Gvmd1acy4vUyriiWG+gZ0W5yURNXtk+9ce3ONmxTSkfn+cmKue07roDM6OYqJuBmQssJX6MGWZ4gdg4evWTV69j0HR2bMGkKTnDlhLxCkKRTInvdvljKvkOOW7jCP34QkHfEwpQ6fG8B+n3YgeheJbFjSMV7qYcPWzWczYLbRmfaS7Kc3p23YE1KPphEdRXUiIAAACsB0x0gKREAAAAWA+Y6ABJiQAAALAeMNEBkhIBAABgPWCiAyQlAgAAwHpYEwX3IiUCAADAemAmOkBSIgAAAKwHTHSApEQAAABYD5joAEmJAAAAsB4w0QGSEgEAAGA9YKIDJCUCAADAesBEB0hKBAAAgPWAiQ6QlAgAAADrkTHRdPUTaWWSZAWTpFGvfnT1OgZNNce2t1XWEjWSEvFKjtUipNUoSlad6NUmXbmiZNWSdekQE79EVvQ+gS9jls+1sFJJdhmvtekTi3wOk9x54hVZysbBe+Sm7Fz5Kkd8HJfEolebqygm6haVpl4RlgOj25xh0OXEvFntjXr1o6vXMWiqOja71ujH1+fnts8MJupX8T/gxSSzXNc+8Hu1ES6upM070SkmpSZ6mmu94K9ZrDN0i4WSQ9Lm3ERLxsG75OY8XgFubtRES2LRq00Pyh/niotRa2trskWqqXr1Y9XrGDTV9O/M2rS1709gonYQmQGzFxXJRMnCwNFFENp2arMfw9HuuJDSIrc+PCbEMMNF3BoTIZ+nuSZmnBovPc716RWLvQhnim5ow2dSBwXXxpvkpiRelnC+f/Hrrx/9NbGfd0kserUx2zrQbqL+dTIh+/5pD1Sd5fXqx6jXMWiq6J8a6ywmurMPnkxhttCZkda2rc1uDtEFdhSUfaC/LUdMwiylLSYkttIMXsu1uP3N438pFuF1vuCemyhHuH7eIjdl8TIcMTtisZ9jSSx6tdm3X6PcRLlx2Nf0MaeXZjxBvfox6nUMmkr7Z6/XNdFjkOmPWBvbvEWhqITcDQei78paYrLvoxQrJdeyYafG/lZcicWeu199/XI3PQfNyz77omRnYum18Ra5KYzXnhN77qmJlsSiVxu37TqFJuq/B6TG0GRgvfrx6nUMmgr7t9+xkg9b1USPgqC3a24jGArlKSZq2C/g6pgcRUC9gYGJHlyJxb6vxHEDI5qoIer7QLo23iI3RfEKNxDh9XGOb2+i7oc4zEwaDKy5H9vGnbzDfx/Z9Rga+7dt4u9HVzTRfdCRAtG9DTeNv9juWv3fb2miEccFHMWmJiakrRovmOhBFxOl+x6zSC1eh0mm41+7Nt4iNwXxCud5nM9xjm9toqLpGGlGpRhPr34i9ToGTQX9uz51pO9dpUS8lBMTzV34vdtE7KYgH9fbsechY4KZmOzxjQoDQ8v1SZF7y5uYK7HY8xCP5ZADtQif7CdeG++Qm4J4HTFQME9XSmLRq82+/RpZEw0GkZiIVfkvV3v1k6rXMWhqO7aVZqLHwE7f690m5rgrVB9NrowpKspdsH6TkYnJXqROCoCWa2n/va12PItzKRZHwd0Nk++X5Fi+Dk6vjbfIzXm8jjgomDFfEotebexxX0c1UWcUedNJZnZ+5kZNp1c/mnodg6aWY5vFRPVBmw40CTv4erUhF1nMKkWiklxMdoMsj8lZIT7Nda7Nm93E9IqF2iYYZybHkpFIhAL/Drk5jVfCcdO4G93GpdxUtumBYqL+xzcixFA2hRleIDaXXv3k1esYNNUeG0w0Ri0UuceS74AQF1osDEUxIf1ojxFPc23b0dmwQ+tvZXrGIumLF+Akx/QzpPdjjvHwHrk5jVeEbKJlsejV5jpFPyyC+kpKBAAAgPWAiQ6QlAgAAADrARMdICkRAAAA1gMmOkBSIgAAAKwHTHSApEQAAABYD2ui4F6kRAAAAFiN//f1/wEfdWXBbMS9BAAAAABJRU5ErkJggg==)
图(2)
图(2)是预报图,其上半部是1月11日到25日的全国累计确诊数(事实收集),其增长率,如果从开始增长的16日开始算,是49%(黄色区域的右边一列);如果从有资料的12日开始算,是35%(黄色区域的左边一列)。我们假定这个趋势延续下去,用35%,49%的增长率,做出预报,在灰色区域中的第二,第三列。那么到了2月4日,平均35%的增长,达到39,710,近四万;49%的增长,达到106,520,十万多,已经六位数,湖北省副省长说要准备十万张病床,不是虚言。
这个增长率,近十天为近50%,非常非常高了,几乎是两天翻一番。检查1月15日后的数据,只有两个没有翻两番(291.440),所以最右边我列出一个两年翻两番的预报,到2月4日,结果是64,000。比增长50%(49%)低很多;而比35%又高很多。按照我这个预报,我们将在明天或后天,也就是不到一个月的时间超过SARS的确诊发病数(5,328),图中的绿色数字。其严重程度就不必说了。
在预报区,我又列出一个20%的增长。为什么?因为后面英国科学家的文章,预估为19万,或25万,比我大无论6万,还是10万,都高很多。原来我以为他们有些疯狂,或者也许是代表“敌对势力”,故意“黑”中国,后来仔细分析,发现不是,他们的估值比我的预报要低很多(我的已经很保守,很实际),所以为了凑他们的数字,我标出了一列20%的增长,不过这个大概率很可能不对!后面再讨论。
图(3)
图(3)是对湖北的预报,与上面全国的完全类同。只是数字不一样。1月25日,起始预报值为1,052,全国是1,975。另外,增长率也不同,这里分别为29%,40%。
图(4)
图(4)是对武汉的预报,数字为:1月25日,起始预报值为618,全国是1,975。另外,增长率也不同,这里分别为24%,40%。
注意到,湖北省的平均增长率,从11日起为:29%,十天平均:40%,比全国的 35%,49%低;而武汉更低,为:24%,40%。这是不是预兆,先发的地区,后势已经减弱?
结论:
此次武汉肺炎非常强悍,按此趋势,如果持续下去,2月4日,也就是一个月出头,确诊数将破10万(如果未到,也是在几天之后到:比如增长率35%),远比SARS强悍十倍。SARS是四个月达到1000,武汉肺炎仅仅用了25天;SARS持续半年,总共达到5,328,武汉肺炎将达到其20倍强,一个月多确诊达到10万以上。最最保守的估计,达到1万以上,到几万,应该不会与10万有一个数量级的差异。
本文初步确定,对于2月4日对武汉肺炎的估值,与英国兰开斯特大学的武汉肺炎疫情预估报告在数量级上大致相当,就是10万例。注意到他文用的是感染数,我文用的是确诊数,还难做出细致的比较,有赖于下一文。
在未来的若干天到2月4日,这个强劲的增长将保持下去,以达到10万,因为:
1,过去的十天很强劲,而且有越来越强大趋势。
2,疑似病例呈很强的增长趋势(比确诊率更快),始终是保持是每天确诊增加数的五倍。
3,假定传染周期是7~14天,到2月4日,没有出一个传染周期。
4,王岐山出山SARS的第一个十天,SARS确诊数从400飙升到2,700。所以,我们有理由相信,在我们采取行动封城之后,至少第一个十天,确诊率是飙升的。
发现这篇可以独立成文,对于英国科学家的文章讨论,将重开一文。后来发现,我的预报,比他的要高很多,猜,也更接近实际。