AIME,即美国数学邀请赛,是数学竞赛领域的一项重量级赛事。对于热衷于数学挑战的学生来说,AIME不仅是展示才华的舞台,更是一次难得的学习机会。在AMC10/12竞赛中脱颖而出的选手,方有资格参与这一更高层次的数学竞赛。今天,我们就来全面详细解析一下AIME竞赛的各个方面。
AIME,全称American Invitational Mathematics Examination,即美国数学邀请赛,是美国数学竞赛AMC系列赛事中的一项高级别竞赛,也是美国国际数学奥林匹克(IMO)代表队选拔赛的重要阶段。该竞赛始于1983年,旨在选拔和培养数学领域的杰出人才。
AIME竞赛通常在每年的2月举行,分为AIME I和AIME II两个阶段。参赛者需通过AMC10或AMC 12竞赛的选拔,取得优异成绩后才能获得AIME的参赛资格。
AIME考察形式![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAc4AAAF/CAYAAADAcClgAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAIZ6SURBVHhe7b27ji1Jcqa7n6eHaIHons15jOII1BooEii+QFHkABQobKKVzRq9ZUpVlLbEfgACc1AKtcR5giMd5Yh57DdzjzA3N/NwjxWZuTKXLeBD5oqLX8zc7Xf3uKxPz/nJT37yk5/85Gf6k8KZn/zkJz/5yc/CJ4UzP/nJT37yk5+FTwpnfvKTn/zkJz8LnxTO/OQnP/nJT34WPimc+clPfvKTn/wsfFI485Of/OQnP/lZ+KRw5ic/+clPfvKz8EnhzE9+8pOf/ORn4ZPCmZ/85Cc/+cnPwudQOD99+pQkSZIk75arP1PC+X//P/9fkiRJkrw7UjiTJEmSZIEUziRJkiRZIIUzSZIkSRZI4UySJEmSBVI4kyRJkmSBFM4kuWP+/M+/p/7y++ff/uGPz3/6T/+Ya/mv53/8A+X3l79//pt/+6/nP7vHfBD+7e+4nq9n2+SjkMKZJHeMCCeeGxMh64/59+e/QfD/y7+7MPhTmpwn8Zd/fDXx/DMJ2d/84e+e//HfnH3/LCL3N//s2eAklJ/YFvWkfEsev/3Dvz//OYU0GYA2c/UnhTNJLmIXThJGZ/+f/lACP4GZ04zI/fnf/v35T8Tw2CoqB8IJQWOxc4Tmz//2R943R61nqUsjkErIu303oITzb4pY7/aGPf+9PydJCLSPqz8pnElyEVY4qxj9I5ZRVZD/NB3k6wyVZm+deGnkGMxk/f1Ai50v7Dv/9fyPf9mXdavDQKD3wUE06z7Jf/7x+bel/FU4m3I225NkB23j6k8KZ3I7ajYwM8NoRCREB/c2QAI3SOrlPOb3MrtSQXeGcQD+r+c/lZlbx1ZGLCEGdVyZGdX61HP+k/LG7PPE0uQmaLxMfHQ99KRwbvaHaDr7b8EVTrv9QqFOPgxoG1d/UjiTm2mEcPU6mxa1A1E5mrW15ehnVftsyC5XYkb4d9PlAH+G+BgB2/PXeZ+8BkkiZMuzp794/bDYmK8Hevs7zgjnXs8XmflFwkn8mfa9xXXe5H2AdnH1J4UzuRE7GzxaBrQoYTkQrFYYbYA05XACqBZOt4x1xnQy+PbCiaXWkudimkirLr/KjUSBAP+nXAPFLBj7fNHCLPmPz/9Ix/X7PFaFsx4/P9Ncu6YKtO/Nvqb9Yf85/yUfE7SJqz8pnMlt6BljYW3GcVI4O/FT6QAneB4KJ/EnDtBlidfZP6IVTiU+QSDHnamzd5/uZcfMcReNzfaUDnCvh2phObCxsCKcu2gu24xn7bMz592/l91wlDwEaDNXf1I4k9sos7Tf0ozmXGA7K5xGoLfra4WTwulR70Y9ZBMoCFj9vxW6nbYuQ5upuuk6a3vwc5z0HcLZCpieqdbZ6xGzwknHUV1+69i6Hnvd3a5+mZLkCLSZqz8pnMlNiBhJsN6EKZhh+ZwXTi02dt+acFIZWMyi/GVmNDc7orRqgHeus66j7FPSxF26rt3q7F/VvdZ5/vommBBO5MUzXMfXzSAGy7crA6mIFM7kHGgzV39SOJMbQDAr1+Ho+y5eK4JxXjj341VQrVwqnJP8pxZNR1BOsAkfDRK6+jNtXeoxfHxdDTiqF5UbM0c9I9ZLwNt2a+PtGFVXvXQ/PcMNYHvu7evcwCx5dNBmrv6kcCbnqUGyBmYVNOevc94gnJto1DTUEumCcG7p3iKcqu7j2V0dbBxfE9zrW4/tBwi9ndtjppdKm7uE9zTcWX0kXNM2IByxtmwCzHliW/3e+i9JRqDNXP1J4UzOs13frMF1F0EdcMfcIpxFUOrS4B/+uIvGUDgDTgpnWy7n5hxNI3yxeMrjMbhxyAxGSJxiG5Mt/0CiXPb7x8zg+3EonFo0p/MsS+D1+8HAqx9IJMkxaDNXf1I4k9OIELVBbH057RbhlABbt//2n2kWMyWcesaCRzVKuqvCiVnTlh+lCREIbuRZgmdj+8vMd5u2wivXGGPqcctLpoGARcLJdweXfG4StAPhPNyfJA5oL1d/UjiTkzjXFRtml9NWhbOdheGcXcBVmaaFE2CmhhnhvHBuYsHl2ZclI3G5CRIMXOuTsi/M6PgaYa0zykTChrIeidsmUO2gqK8bDTrK3cHu0izlf/ieXc2hMM63lSSpoL1c/UnhTM5Rg5wNYMszrnXhbAWSZld8PsTw5YWTH9znPCjfTiz8a4MN5cH/lRng2RndJnQWpDO403U/r7VTK5z11YPRz3wpv2LG2+13mJhRxj5MEh+0l6s/KZzJOYpAdgKhgt/czOiMcDqiwOeeFc4JePYm+esZ5g5mXzV9qjuJxXZdU1FtY2dzLrxkW+t5cO20w9oHs80/8ozTzUux1cPYsBXO9pwW5Qc+HoI/0RYmhFP7PZdrkxnQVq7+pHAmp5Dg6gX/sXj1nBPO9lnBKtJXCCcJIF5hp2dkFPR522Hwp/xZtKJ6q/INf1ZMZnO4TskiTfk2N9FoJsRmjd0fNr054WxFc3pZGUzVZdxe+NWCRFy+5NFAW7n6k8KZnEBmX/X5Ort/bWZ3UjhVkN0F/ALhLIL8MrOZva5DQSlC6e2DDVhQq7BbsaHzzv6CCrMNSHobHQunFk1VxlkC4fwzrpWSGGImjSXm3Y924HY0cEkeEbSVqz8pnMk6NcAFAXQLsMSxAJ0UziZI1yB/q3DWstiAfBGbKJ1LX9t1S8MRm3ocfix77QUEu/08YR8LZyuap+yn6oJBWX0mF/8312TVcW1Z6oAuhTPZQTu5+pPCmSyzB9BAgPQyKonhMIjpIDgpnFUgNiHcztPC2ZdNC6cN7Ljpxw/G17ELXyTcMfu5EDVlU0c47fZpAa1+C+oflj8UsgkwuybbyztvSxoEyjx3A5PKs5YjhTNRoI1c/UnhTBbQs4pKO7vYxUnTBtom6IW059h0MSOq6fDsSIv1Rimbu2/AgYCfQ9luKX0sTRZ7YTBgBTASTrNPBhyjpdM6245F3RPO/XdMF5ZmqVz68ZoKL/0HS9QeTZvArJTKIv+ncCY7aBNXf1I4k+RCtsdVcB2SZ03l5h4S7ypi0zfMbM9hUlrbORBSuXMWadff4QTusngjnrEoQpxx7XS0xLoJJwnTn1TZDl+v57CLngjuOaHT1zs1cT2TxwNt4upPCmeSvASbsJwL6nUmF4mSFmJhIHrbsX7eslR6vJzLN+kUscbrAM8I5o7cAHXFzHCf9U7YInk40Cau/qRwJsmLUZc/Cdy0AqG5NKBDnGWm6M42HwrM6uvLKYil5fDkI5PCmSRJkiQLpHAmSZIkyQJvJpxJkiRJ8l65+jMlnM//7/9J3iGf/okajcE7LkmS5KOSwpkskaKZJMmjk8KZLJGimSTJo5PCmSyRopkkyaOTwpks8aFF8+fvnr/+7Gw3PH357vmHLz89Pzn7lvj5x+fP31+QTjLm1x+ff/j+x+dvvzr7lvjp+Yff/eb5h59/cfat8e17tLXb0zkP1YVscnPbY9vqNvzL87cvV9j6vknhTJaY991Pz19Xg9Wv1Ol+/mmJr9//5vnT775T+aynIXz3/Jnq9ukTpWXLZfj2/adLgufTF5T9guD1DsHg4+srBtfLbE1CgcGOu28BaUP+vpZfnp/c9kqQDT83bX8e5A978Lm/ioj2eZAo0kBh5Kferr88f+XBhfyPAQL6ytDudWDT5a+gfv75y5k+V8rDA136/4oBL5HCmSyx5DsEmU83jtAhaKrDzAccB0qrFdkzIMjcHjilQ4/qQsHmFYXldbnKhh6B0EBkTHCWQVckppGYBLCIzQvzcjtG29U2u0XA0ad0WZGWW3aywXAgif1WWEWo9m3SzoeDljB/hYkDK8DW27klJt06aEvhTJZY9R2PSL3OR7PLqSBzoXBi1LraYeqyrA6QzXcLgjEFXF23JxrR98dSvdCBu+3CDwg2UQdHEO1sWgIU+cfah2cXtL0JXlQmFg5sJzBziZbuhrNDzFZKvtODEip/lN4oL+yTVQGAWcRRIPVXPZpAGoB2q4/hdqAGgFwWagf1O9rFytLrVcLpty3xrVtHtDucp7excKH8Nh2IzEA4bZkYK5zgQIBfUzj5uwzmnygG6eNWQBu8+pPC+YHxfReM8gECDHWKdnsJgG5noY7H13/q+RQA1Mgf4oCAJfswg4yDfStw4+UgCTTOCN4NDjE24Ea0x611Yg7aZIc+8CJAkV2b8nojfjkO9a3bnlDPJrhBEKmMSC8codd0pOx9Gh7wr7XncV5sLx3weeZwLIDsP113Om9mtov2rEWJ24duh9t3LGfG5UD79QZaTTvW2zHI8dq0bYdFOOU7zi3bGfF51z5QVl1OSpO/h8IF/0b+9AQy3j5s35y/J9wKsiPXHwNury3Cr0EaPECk+jXbkR61n7OrYSmcyRKrvpsVkh3T8ahz6/ObkboNJop+xtB+tyN+7HdnAIM8PKbqWwLFHpCCQOdCxyJgu/mIkFmhsIMU1N2rUzcj5yCF82Mxa4O81GNYfwRrr57DvHz7cP5bPYLBGwZQjeDZ4CqDON/2+/XykXB+pvYa+S5qD9GMc9gOdfDH4EnV/WuTB9qB77MdsSnsx3Zv/FgZCGexm6wylDIxELB+sMB5uXkQYf4KpAuRo79uvbjtxGVd6cMzpHAmS6Rwjjmur9SvzcvUeQgFM6TvBhsRhiaAwH6U9ha0OMAEQsEB0G6PgrAEXltX1D8MkDiHxCYOkOO8rB84r4sDYoT167Gfhei4U8Kp6wo/bt/JPl+UXXHsgRCx7XSbWFqqhT9ou9s3sA8+rH/1vgC3LfuE9uF2PRBOk/7TyZlmJYUzWeK1hHMbseJ8PdLnYL3viwKnzZe/m3R0Bww7ZBMcKLCrNAQRphoghvUlYZKZShRs9LYAyk/K6c0GKH2yja4bX88hMd0CB+oTBRiXSMyw3Qn+o/S3skdEeflE4sP74E9nKbQij5X453rXDeMZZzkGM0Cn7FF7uFY4cR6VZft/0AaBFRmqL2zVHVfaUydo1Y+2TMwJ4UQ+GBjR8ehLIxB/UO+uTCPh7PZJ212LSy0pnMkSlwgndarmewN1OAr0+w0dWC77xR+N1uUbZ5/N134/N+NEhzOdE51SjWaHQQtplWPbZUW7vIUg7Hds3N4v+SMw2eCLQIdHAOq5OIaO1/lS+S4RTg5GK8IJv7aj/p4gLw9jd8tIVMUusXB2wB9dXmRnPcsLiNrDKeGkMjRCrUWL9st5UrfYhiIaW5umvri3Qwe+nq7TkzbG/6NMnXDWPnJUjovh9kj5qbIjf7F92664DwzazgwpnMkSI99515i6kTmCEKXRz7oC0DnREQcd0LvxwAYs+/3VhZOOgzj6HXY2yLTiwwGgsaMEtX07lRd/UYeSL+97C+Gk7ccvlwjy6kC7Gge+0J/MfFDHDU8IyO7slW2JfBx/F7g9NO1faFZO9HasEBy2QwL2N75nX5v22ELHhEuslgkbeels+Z8QTm5T9hy0CbSz2MZMV+82/72/Y/tts02QwpksMfZdPzPkwDHVSP2RL9+x6ASeDQo0KJMVYpuv/e4Jp1vOJjigE58QTjoGgTe+CWMyyHBgodmCpklPhFOOkwDJZUEd6nH4/wrh3AKa2e6mT/U7EDohyktzLJoAfrhNODFzh2DKQGRLSw/SStuoj8l8xo1HZmkzalejGedxOyTgY9Pm+WUDQbrSNkrZalrD2ea+CjJ9p2+zbbJNNzj9y0nHvUO361vtebArlwvlW2r/PhwHL/6kcH5gVn0XBoIZqJH3QoMOEQWHHZsvf1cCbNOYC1glsOsAw0tZexm7dHBds46WbxVOKktTbxZIfR6CI/KScuLaJu9DHWq+3TkaEolueyRm4gdrM9S/C7K8pK6+hxwJJ+2fEmARJm9GJ4goRPk8Yb8SQNSplr+my8fqtgERQvsyaUaPYUTCGaLy4muw1O7kWVaVJ46ZEQVdbgYCass50Sa7dHS9js6nttb5BX3J3qS0Czh/LwPlbgbaDSRM/qXd+49xrZPCmSzxesJJQRLLSnY7OqsrPi02X/vdBq6wnE1wQGA3ZeIOuW8b1hfH3iCc+/XNiojXXo8qnLK9mWVu+co+r4z6BpOdWMxQ19YXXtq0bVLsRnlF6UTXGfnRGthF+28LrkXk6vEQooHtUU9XDJq2sca8cEJgfuR80ffw+AfPHDuhkDrL0rE+38EpN7fbZpupq0eXju4f3vkQP/3d4NpzohyAzm3bXd9XYXMbO/h5XfV9lhTOZIlXE05eRqKAQYERMyfMNL6ic6AzHHUiwuZrv58TTm9G1jKs76pwNrMVOsYRDuS3l68Kp9mOOuh88Z0D7J6+vDDCKTcPDGArr04ITrtQIo1uxoMZw5RAEIO8+kED4YiHpfFHdDza2cCvEC5pcyYY4zzXLsfMC6cIop4BM7Yu6Bv8XXwyvCbYtOkKztNtcF04Yeu9Tr5w1vbpAZv0fWdOOJE3jtnviG5Xgtg+NOiQJfVaZr9PzZDCmSxxpXDOvy2HRJSXRDHaxl818naPL/liVlGWfLrHCXhmVDtZ2e+V0w0yMaP6crCjztw+MA7MchRAPdHJOS0ED6ozfW/KgrJhG2//X9sxHLxoX/27HaMCCS9H1jQhol2ZJQBv55bjugBGdYlfuTcbmI7y8vYLoa0ZnKeELhDOoc82xAc4jm1H9YJongm6YEU4XUpb4vz1//U7bIP27glO0KbbFYcJwdLpUJ7tG5mc8wP7M5TW0qCywbSzWv/qU6Rd96O9ou2Ufnj2ncloe1d/Ujg/ML3vvGsVO/1dtQVeVjoIfNSw+YF+zDasyPK+eGlqLhjuRMdj+6FwoixF6IZ1sgHuo4Ngeos43IAMDKyQU6CEyFMg9p4N1Odr+M5aDNTMLE7uuBWBWvXpdcKJ4O/kv4mHM7jUgmdhMaE+VfrWnHD6ZeC+gzIoO9ulUj6OhS0aBFPaE+WIbOmupKCOdbB31LcDcO7VnxTOD8xL+o4FmEa9ECG+6WFmGYwChLdchg4zHqW2oPN6j0uES5geEIpREMV+CmTuvuRm0H54aR9tZ3o1IwKrHGiLSMvbX5mZEVkwQ1prnx3cllC+E/WkQcXRoHKq3WNwwjY/d52w+mtsXzqGZ4fePoA0vHKK/4Zpk4B+O1n2FM5kifRdkiSPTgpnskT6LkmSRyeFM1kifZckyaOTwpkskb5LkuTRSeFMlkjfJUny6KRwJkuk75IkeXRSOJMl0ndJkjw69y+c5dm48bM+M+ChVzwsf+vzXbcjr9B6+3KcYei7g+cY8TNMZ19Rtgy/lCB+RuvlfFCe0bMPy+OZMTynOom8OOLcM2ZnsO/sxCvuVp8z5B+PdvzLtp7yO569c+p8JgaED9WLf26NJ+5r8JKH4f6Fk+A3UFzxxhXqgKM3hJzHD5YueNsG3nZDnW4PlPJmku5dnHfI0Heo28BPCDY3PfS9yqA8/nsxDfy+XO0nxRf40X/7y1Q9UbatLa4/RD8vRjMgf3mLSrUVXr82Ux79oon9bThSHykf3vwy+5ac4C0x6LfFj8gvfJWcInxzFNI6ehMNYLE2saJsQzlufvNPQ3mNH9vM25/cG3cmnMHr22pnUdv4dWthkKYOaI4fgvRvEubJwBcIZB0Y3D6rfnlGvrM2sLMsDqbbgIFsMRPAbiIIxMSZwAeximYx+uXvkXA2v+QxEk5uJ6P22NbL7TNMaW9OWRpYTEy7hEhMzcj3smw2Rb61bkh7sm+FYoc8VBrcX6yoNZA9Mat09sV59HSDK+WzM+0H72YG8A3KB6Hk1zTiL/oGtg1WbJL74c6EU4PG1YtJ15gdbOfg10ep0TmPWimA1+8Qzv49lE4gYoH1OuSxcOKVbu5v5Xkj2zsm9B0CpBIC71dEXn3GOWA58LEABOXHPiVkYT21oKggbNvPURuPgn9XJ+QxIVpRfu4vkjjU+kr+7XLrvFBBHGt+Rfg2G0Kc27LYpWVBzvtaXsIu/Vb3WRH5brUnGFy1PpJ61nP1jwSEP/RM2Diyiaf1VfKuuGPhJGzHnxQZ7lRqtmNfNL5/x/LIsRBX6kjX7bBb4KOOYfaxMFfRLWXYy4KOrrZx2bw87oPId02Qhd840JEtVN30jJPtPuHLS3CuL+rAJ0D84ragxZCXJ/VAi0V1b6ehcHI7KQGzCcqq/Zi0etrZF94XWgWmzVe3yQEs+q0oNfsGZelXFHab1n6lxabCL9g2bRx9axOSWqZadsqHhXNbOke/pX7SzaadOus6QCStf0f1b6AyqPZ6q/ClcL5v7kQ42wC7QQFKL7l2IoOOQGn5DbB2MpwXCycvkYTnt9u4sZsgIEhHxkuXbVDYfjoLHdQIhTcanx+hvw2ecLYvSI8Ddiwor40SMHd/i76OV0FdNj8ZgRnVE22IBTMQTvh/ZKP2ph2pR/0FjCZfUyYfyXdkB26Ph+nIcWgb7XVXiKQWt6BtUFmrKKG/SJnQ/zAowAytCKc+x8VJf+t3ED6nHtg/kbb9ke+XEU476E7ulTsRzpfFitG0OFHH3TvhqPMGAUFTAlkjtt2ykYj6HlDvD2/Qg+CNG54wGOFBCWy7zQ5U3RAQdX1R14mgvIYZMLnprwVi/M6kXH8S8IsOGMRtgzYjUiPh3ETYFU4qc9Mu20CKAQquO9blPm7Hjvji+0xgn+sHZE/2k4iZewwGsFR/LFli8IilT86by0u+OOhDPJggG2MWL5dRbD7eefCzPc7ph0U4Wfg8n3TCqdot2g/OnVix4H7rtSnnXD7enC+Db7HDcbtM3pq7FE6+rd0IimZ095nbyLkD7KJlv/O1y+A6By9BYrsOdBy49HFOh7VQx7Di7YpGI9b3x9h38I2uE33XdtbA5q6oXUcoDCx0cwGKl9mpvPB3FapdIGU5ciyc/QBC6i/+l+91xUIfg4EVAmmbLsrN5Slitdtvb4P1ejqvzkR2xvmRbzakXF+LSMP3uv4M1b3O5DaxZrGidkz1wf/baoSxU49tP/t21A0/YYVy8cCF6sWDmEY8I+GkNHkb7S9lbfYHZXLbjz4eNvTa1wQzA5vkfrlP4Rw2Kukc042uCzCAghl1Pq+z9KAzUyel0eCep+2gTocdsAVgKpuuB25J57vsbHC6I0a+628mIdt5o3BwQ9CZJRJOaV8yu5l6hKjQpQdB4b9t8B3NOK8B7c2zNeXL9dkHdlHw7++YRZq23w38ByCsKp1mGRkix9shdOUY8nm8mqL7EPpnma1SOnX5VtvUu/msptEMQDBwUHnCHk0Z7lA4eTXB2Z7cD3cpnGiwsTD2nSiCR+XOcqh0KIygkc9Ew0c6tnMhCGzbJsuEpTgKqpInzilLM9RREHRQznvvMJHvvOuANvAiIGz7bgg6sxwGPhzj+TbATQ9MCyf5nGdJTnusINAfzIbb65yFUgaejW7bvXa5i2pLEd5m30g4TTrI3121QZ3FNqH96BjYjAcz6AtUB/sDx43QoO9x3933C059US4rlLpOxncar7zNNtuGG8GTekT0S7UF8j/62D0PnpMPK5ylI1KjbtIygZsbJwIVleczglEgXLJEZjpR0wGPykTlwfISAgO+k4DKcjOlV8tBo/dxne4Dz3ewsVwHhJ0wAMASIGylAy9sJDM9Ps8GnRegD3ywey8EXH5PIEoQrzRL/PQ/nwOfmeAbC6cRAI/SHtx9BNprPb+KTHMpgdrRJjgDUejwjm3aeE9zxzTsQefzdxb/PS0ZVFX/9+lw2SEW5JtoBYB9hPpxmaL4MCGcdoAwsNFh+zFtmO/mr/sOOGwHyV1zl8KJRuWOxph63cU/l9/AoQQQjb820JouH6sDFAIQAqKXZu1YXRBB0KqdZkbMBZnhlIDLHbFex6I07PWXO8T1HWxOtuzLroXTBCwTdDbYzuSnIJit0AQ+nu1HaUpQd8uj6ANpwQTflxJOFg+2TRFwNRDkgSKnS3UpbVy3/SPcug1EpaUVlC4t+JoGprEIy0yz367gdkHp6jbUnRcIp6kD4si2H/YO6mjr0dnTtOH+UkVMCuf75k6Fkxo/GpUOIugA/H8RuXo8bgYKghTYG7vpVIMAtYNzamcYBVenwxpY0HmZrpxfZp24k3ITFA4w86PWt+DIdyJQmHWinqhj8ZUNYGQP15awAeXhzgAXwXI854EyBTOZjYN2BFxxAaZuR8IZDwoJyiNulzjGq4cVLrSzXjBiVBvU29FHJtJo7dKWZdsGwfds5wJBFHvUvOWGJ5sG+bX5PiecDWEdEWf2eolNTfmRNspEeYK+fDEpnO+buxTOStMhN+E0x1GAOBKsbXangzHOOwim9loSyhN1slg4KQhQPvqcel1tL9d+LjrUaMnqrfF9R0GGl+cocATCv/kSA4Vodl85CnaHkD+q78jPU9exJ+iEk2Y73vXCl5px9qBtyTJpk2YN6JNBvKtXZbosInS8lI18MbNX9Zf2TvuCvoNHRTCoxDFoG2j723E1XU5TBFgv97e2PCmcpo48yEU6lA/adVOei0jhfN/csXAaoQuEM+z0DehQEkhk5mc6p4NclzHbI/H2OqwHOj6CQ+34vA1BTo/QZaQLG0Gkj2ZBr43nuyr2YVk5eLV1ZH+QLT0foP7ngwps3AalujyOJUzM2LC8F4JZTlcP2SfX8XAtFzNqSiuo74sJJ5UBlyp4Rs+DD2pHZNvmbVpsawR9p615wDaBH+b6VqG0be5XSLMMBjmNIlz432sn7mwO/YC2d4Ms7i/Sdvi5UUc4u7tqB8LZ1ZHTb/23tR+kV9uJi+Tp33zVksL5vrlL4ZQRn+1gEhDrC5ErSMsXM2Fv9G3HlM5dRsdqO4MOMNH468hUyhEFS+pQLNaqDJQ+j6JxLpXBC5TcEc22e8D1XVhW1J3sbIMfQ/6E/U1gZlsdBfsjqDz99uqHve2w7RtaH8qd17IPdeiD+86edp+OBgHzcKk2CPQS5JXIQTQ3+5VZv27PLGZUHqf9A/imeywFbZPtM67HBtnavSOc2zhtN/nWQSHELOxj3P9iW3NdazpN+Z0BLA8kWnvyzHWr46yAzbSfweCR4POX803uEfjv6s8p4eQlJyzZ8G3oo04zA4IIBTpOy9tfmZwpDpFOHI/M47rwecFo/17xfGepvuS7lEe2ZVGNBz1vDgL4ooiPZ2kyax22t9mBgxIXBOTY1tQ+bXoQtWHfQDlJbIf9Aun6fXUrj9m+779uUNimI/3ebovsIrPTCVtfDLeRe273ySF3I5zJ+yB9lyTJo5PCmSyRvkuS5NFJ4UyWSN8lSfLopHAmS6TvkiR5dFI4kyXSd0mSPDopnMkS6bskSR6dFM5kifRdkiSPTgpnskT6LkmSRyeFM1kifZckyaOTwpkskb5LkuTRSeFMlkjfJUny6KRwJkuk75IkeXRSOJMl0ndJkjw6KZzJEum7JEkenRTOZIn0XZIkj04KZ7JE+i5JkkcnhTNZIn2XJMmjk8KZLJG+S5Lk0UnhTJZI3yVJ8uikcCZLpO+SJHl0UjiTJdJ3SZI8OimcyRLpuyRJHp0UzmSJ9F2SJI9OCmeyRPouSZJHJ4UzWSJ9lyTJo5PCmSyRvkuS5NF5M+FMkiRJkvfK1Z8p4fRUPLl/0ndJkjw6KZzJEum7JEkenRTOZIn0XZIkj04KZ7JE+i5Jkkfn/oXz1x+ff/j+x+dvvzr7lvjp+Yff/eb5h59/cfbdyM9Uxi8/PT95+zQ/f/f8+fv4uKefJ9J4Y24Wzje21dOXcbqXQnV9kbxmbZh07eTb9989f52MJWgrQzu/lH+Tu+f+hZN4+vKb50+/+/H2BkoijIbu7rsFCvKfSNwPy4fjonpgH9nlM3XUbt8dcbtwvp6tEPi+moHSZW1phlEdbmHWhjfyje330/O3DRLs3323DWK7/RCauxKSX56//u4T2Wov09OXH6eF89v3aGODgTb74b77a/Iy3Jlw/sIjxL2j7h3yM2adatvX70cBkGaX5vghSN+kVUeb9RjkF4rubAeKAikEnWzyIrPhi/F8d8+2ssGPhfO1gt1CYH0RG97INypDKzJYtdl9Atv+8LPaT+UaCs1rw22FhN5s+2GqjFTXT7r+FJvsMa/kh+T+uDPh1CB49Eu0h6NAAsGxDZYUlFSgxXc9W5GRs0nTdAqbZoM+9tdB2XCcFYNfZQl5dhT81ri+u2dbcfDczxmWreMXFg8INer9iWZbS3kbuwx5CRveyNXCiX4X2Y/7ZLUz+csVN/b/7oujyzdRrMBybSOmHmg38DcPZDDTpjytL1f8m3woOA5e/LlIOAk0TB08MVqcaKh8XYM6WTt632eg+3fpEG5ndwPZnmYD7UM5vyFwUN2GAc/UB53z9uu3r4fruzu31Tcqiw72o+CusceiXp/sDMbwpIXM2GXIS9jwRiCcehaM/qJXZuaEUwY7Ior+oIft2via+mjXLykdVdcn2GvkCx4wBfu5Lan8HMT+vV2b5enND2Kb9zQATm7jToQzXqLVS65fcWFf7y+Bo+m8Ks39POoEgXB+5huGnPPdQBYEKHNsCI4rHRYd/76uB80xL5xvaCsSr+rrljpQ8vahXWAm0wpDW1a5Zua3N1CDezlH15WC9dfIJuAlbHgjl804yR9PLGSesMCmznbUUeXViWvxhW8jSTP2U7Fvk54G5/ui29S58QN8Px5UJR+HOxHOl8UGoWFQqrxEICvBAAH8aOb0dKcj19cWzmttheAWzwrsDBO0gTUI8hWUWad/g10useGNXLtUG9leBLATOQjtVkdfJGGjVkz37XE5KrIM/4kF1hzLeaPtlUEVjiuiiLRTOJO7FE4sgbRLRC3yWIl/rl6ircQzznIMX18xnRqdggO3Ooc7I3ViXCOxx7qBzMx8uKPbWXMPz3wGAf4tCYXzPdjqYImuE4IGKh8C8kCwOuF16uqJM3OJDa/lmqXaymDQgvpgnxKw9rERnOv4hs8zYoUy6L7tUpdVaSaMdkZpw69bvb6UOjp2TuFMwH0K50EAO1qGaUBH6oIlgmAcQBnTaZpRrF12cjqYC45TZXnCbErvfweEwvkObFXLxTepdHflyqzGa1c1uPIjIF7gB54oe3VlewQicLUNb+R1ZpwFnAsbU9/urmWPbKbFio7rbyry/DoSOSwrl/8dO8MvW1rN/hTOR+IuhbNpnB0inGEHVODaGAKOO3vlYIh8go5uOk0TyEpn3L47HcwFxzXBlTrbKwTAK1kWzruxVRu4Ucb2zszjdlXbk3cMz868wO6UGYLTzZJfwoY3sgsnVgNIULr9Fwkn7pbFoIT+xwCJ72DVvp8STiV4DV6+2BYLZxMjqBz4v95EyKsONZ6o/TwbT+F8GD6ocFID52UmWYrZ0nLueKy3wX/G0hB1iK2zDgMZvqulpNlAhuMaMZB03sPzm5V14bwPW6FMNr1WwAaBXcHp2PJTWd3HJ6K6FiFoROYlbHgj7YwT4qHKwPuvEE70Zys46L+Y4dc64tyJGacHbG38LvafEDnHzk2dm/2wz/tbQUrOcZfCicYZ3oq/XZ/wz+URqxJABKDa0Gu6fKxu9LgLE9dFdJqm09hA1uB0MBccZztxGQjEAee+OCOcDW9iq1HQLoHQDaZOPl25cD0yqM+grtIWVfpX2rAKc2e/NbqlWiP4IiKYhf3I16JxvTn2TeADT9i67eInmzZs1LeRFteOUZ6WIzsf7U8+LHcqnNTBEMx0w0Rj5/+LyNXjcTNQIKIAHUeEU4Lu1nFnOgV1rirY+80awbEzHaik2XRYvlW/BAYr3ndIKJx3bCu0p7A8SJP/QhS0cEo+tqw2WA/fmTuqa823cqUNaT8E7nA2dkAVTgxGcYMSX/JQ9dezL17G7maOmoFweuU04taLpC+mLUGexdah3yrazni21OZ15Ifkw3KXwllpRoubcJrj0KkHAZRvKuH96ESqg+K80bKf6RTuyLUy24FUh8Xdv/Jcak1TlpdhG3ljiQmsd0IonHdqKy7LYn6yrQq0Wr2gNgNB2pbqjpitK7jahkZ41ikDh2JfvR3XO/G/Fs5DWCBlhmr3IR3UZysr/N2JIvrvvg1L10cDg9CGs34px/ElglvSST4cdyycRugC4RwGmI19dMpLuTRbORKmrrPQDEHvb1jpiDQClpcu+Olx+RCwMFIOjnlLPN/dq614FoTAZ7Z71ODdbqd2UwSa6UTkgNm6ElfbEAOLaVGLsLNiw5xwiuBtNmTsLBDLveRrtd8VKhJU8TeB2e1gwAwbRb6fixkEt0Er4Gb/pH+TjwXaxdWfm4VTAqLtGKXT4BqXghv2oPHWJSQb8OQOSZx7dlSOzo60SxlmOmKZBdz7cuyII9/5vL6twllCQWaxtR1JsB6tXMxT6kr1nK7rFPM25P7zCoOupRnnK4K+3fmeZ7GLvkaMGAljCufDwnHw4s8p4cS1oq9fqMMT30aj7SkQZGhWyWl5+yuYid4YMHkUPF4y+kh4vpvmVWwlvp8W3DqwukQ0FbxCcstSacAdtTcI+eV2uwWI49D3WEG4sMw0QLluYJS8J+5GOJP3QfouSZJHJ4UzWSJ9lyTJo/NmwpkkSZIk75WrP1PC6al4cv+k75IkeXRSOJMl0ndJkjw6KZzJEum7JEkenRTOZIn0XZIkj877E0483I2XuOOtJgfPY7X75fm35kUIv/70ds/D/Ur1CN5scs+s+o5/kPj0w/jlmcXGj79wmmdfjPCh4TZ1/qURSZLMcVfCibe9HD6cjLd18Ds45eUFw7fDNK/WoiDcvNuyvIZv8JA6yqODEF7SUF/C3UNBC28mWXggGuWbetn0HbEunLe8XQbCae3jvLTi5hdmxFzSBqh8/vEC3mCkf9EH8AvWVwcc/Lal0sbr/ymiSXI5dyWcIm4Hb/LRr7lCcBi+6LmIIwcyI5xHr9Ni4vJMv+9yRJl1evuOZtNvxUsKZy9KEvzxk1V6G8Rp+3FyvIaOytS8+gwrCc05BZqpskC5+8if7grAlW3AaYPe+WjjZ14ByGK5DzR4YDbsH0mSnOHOhFMC7fD9j1o4CQS94YyNjufA3QQVvJrrSDQFlMcLbtOCcDDb8JAXi58InK/ASwpnDwnNzIxzkr0slAbZ2e6LRPDmNrAxI5yoMx1zxvfdQJLS4qVbv15Jkpzj7oSTX9BcgpsnKvX3AOt3efG7Ca6eWKnz8D7LbRZDM5Z5karpmlkPwd9vfrH28XXbtybyHeyr7VGRGb+znUTneJkadpVjeEbIgx0I5xlhobSUn/E+2z1vWZmYE8Fb2gDKMBJOKsfo+u3RIIxn31RHtY3tTD57jZe+J8mjcHfCeYhZjpoFy1ajwIibjbztPiYAcuA9El/8pJkKcg4S5M7Npl6LyHfRsmU0Kzvyh2V5dkfC1ghQt4xJ++u+zp8znGkDI+EkUTRiXn/3cp4z9UiSZJUPJpyRONHsgATJmxExmI1SmZogVvZhRusupy0HzY/Bqwgn+ZiXGJWP+plrmV0NbK5vNuvKR21iO9dtUy/RBsw5Wjhp4KbzR3l5ELUyWHigdpgkb8mdCKdaguKbNCSIWRGUAAYRXBtV90F9fjTPdzfaQNQF2usC1ntdqr1aOK2Q9emgPUQDqAr5hZc+IVjGPxDnUl4WqcF19VvbwN6O6RwWw/IdNqO2Lte0Uc5yDgmqv/Kg+omGz8fxKZxJ8hrciXDuuAEYgWQLbGvBgX+w2guKHDiPn6Pcgqa+UxOBloLmHrwoLSoT0ouv3QVBT1Out4aCcge8L+EkkBaVuRdGiKqcH5Wxcl0bGMw4K1x3JaIhfj84qkuSJLfzDoVzPjhgqe4HPIJglv0Agtxn2iePO/QBv+LONh6YoXA6do5vDloRTk8klHAOr0/jOF/IUGbM/o5WMK5rAwfCiZnx9I1PvnCiTqPZc5Ikt/MuhdM9RkMBiH/pHYLozF6aoMPBCjflUIAvMxCdlg2aLMaOENQZxzUB9n4ZCqfjk9GMsz1ezchxdygPaHbbYomztbvMzL5CfNh3vljUfFCOTlDKbHTYlojL2oBti1o40Q679tde92zxhdNv70mSXMm7FM44OFCA5EdN1PlHwlm28Sv8mmMEHTRx/TEW7bmZix9wC0UwVq7fvjahcAazvkuWDuF/+JB8GYqSB3y/tRv4xwgN0qX6HJXvsjZg2/H2ndpeZz+00WjJt+53hLOcd7PNkyQJuWPhhAiWa5AcYH4UUcRjBHwThAoOEB2VRkMjnDKrQQDeAhyuWw2CsQRNzFjKHZpUlrPCGQfcgg2sd8jIdx63C2frawwu5pYy+xlcY39uF5RWmc2OBPmqNtDZYuBvniFTu43rqoSTyvZE9ZC+IfVsBRftftDukiRZ4m6Fs87OcC3sMwUI/N+MvBF0SnBon38zNMKJ7/W62x5AR7f8I4Ah/y2wpnC62yNuFc5eBMjO7kxL04smU31dRbOkwXkMxPOaNoBymzK5/pa277/+T8DsVAQfS9RySaI9FuXQdqc2P2p3SZIscZfCiSCGwMR3xFrB3JCZCPbXuyP7YwgrnJYSvEZ52FnCTcKJmbNentWg7imcG71oFsp1abZlJ3bks7DNUJrkP+9XaSBWqFsvWNe0AdSls0Npe/s2mUX6P1wAQZVr8Z/42q5/aWEDaaM+SAt94M7bVZK8JzgOXvy5XThHQqdBAOVAMjpeAt8nCkiYNVgkEE3mR8TihxnAeCbE57pBsdAF0vtj5DuPU8LJwgihGdiKhaT6j451xLCFji9Lmf5+8g/N5LztluU2QMLliqHyN5Za9SzYh+ow3G+AwMM+IIUzSS6D4+DFn5uEE6y9BADCOJ7pXUksfpj5joM3Lz+PxACB7lAA3pY14STf1OuC7n4DltFxHXvhetwTRHa04vACrLUBCPaoPmSjxTovwddmqbwHqyFJksxzl8KZ3C/puyRJHp0UzmSJ9F2SJI/OmwlnkiRJkrxXrv5MCaen4sn9k75LkuTRSeFMlkjfJUny6KRwJkuk75IkeXRSOJMl0ndJkjw6KZzJEi/tO/zoc/dMJp7v7J5zlGdEhy8E+PnHwXOzOP83p56flLcPjV+m8H7AyybO1+VSf11J+Ez0SjnwDGxwLF5qcfaZaz73dZ89dsE7jukvnoXuX+ZRobLyG9pe6DnjF+bw2fmTpHAmS7y87+StQfalCfwQv+68eOvO0Zt2cAwFN3cfAqiTzyx4CcLKG6dqsGwDEsqPV0vqQLVz/PakC4CNPk28pKIE2X7fRf662D7hSyoon6M3fG3wsXjzVZ8O+z9sW8fEL9GYBS8LmR20eJD9qG59GdAvVt72hZd+eG/RAvDh+T52M8V/t9nZJ4UzWeI1fMfvZLVBiTsBBVL+XmYN276gYzTCSbMHr1PX7/hJt/B1efo8dTxmanZ7SbcLPCh/I7QIUKoODIKZ3faSSJAcvj+ZKa/uC2ZYl/jrUvuY/BQrgiWDI7wXuNoBZUQbIbGAj5t2EbSfUFjwazZ2G46l8s0KMtusraeU+XhA1w1sNjy7jxj5RNJ6K+Gs7RK/n3t1GVI4kyWOfBc2Ug6k8vyTxu28PGrG31bstkBDeexBi4QqSqcRTgtmLMcBBoGoEcFw5lUowQw/Q9ZvPxAGOsZ/wfvLwEF2NkiPuMJfl9hHBPMr8tjECgOcmg6C/Lzg8YyX/uflWr2Pzqltgn/UfDDD84QaAT0ULRK0oyCP9xpjJs7/N0IJm03MFlHnUb9YahNi031woSE/WB++Fuj70cDtAjgOXvxJ4fzA+L5DkKEAQfvCn+eioDf6+bY5EBhmAkvpuCWo4G8Nngji0skloMr/6OBOutz5dCBCkKA6YhRbjkEQk+udEsj4RfJlXwMLQ82v5lk6MwQBaWiBof95RmvTuYoiVLBDKyQWsc25JeM5fzGX2MfJr9ST/QWfe4LtzJi2316l//cBhgTgdikUeQZihQEFyt1sRxuKgjgNyo4GZkQtDx+nyx/UpYH9XcuPwU1tt6ovUNrW/7EPx/W55XLIeYqYd+3gwDYLpHAmS4S+Q4fnjht0FNp3Vjh5VM8BswTQrVOL+IWdAcJnRs9YourLF3f+PYhJgIxmCki3/txXv5/gjhvMqLp9wbbLoPqWvJsZkXt9bBQYfU756xL7OIEax3EboHpQWTp7Yr+tH5W7aat0DOzCS3+Uvh1ExEuB9vIAhJTs3dhEQ/bCwOzA794sFsQzWYF/7FyVXWarVHcqO871Z6poK6PyjNrHWwin5LmtCJBdt7IjHkTxaZEUzmSJse/QiYKGiZHuUDhVkGER2jtrFCgkKA46dSCc/QzLCZ4NtTPGQQlwICL7hGWlIBXNqEQEKB8sKcF+2zaVxiWQnan+NV0bMCWY6nyjwHixvy6xjxOoOU9c5yKx8tol9pv6eb/O1NgFbXkgUCFemXmbZ18LbCL/u/bV9ZiYtaIOOl+kuYuNttWMcJLNN79p4MOrhZPyC/t8K5qABzvwfz0G9UYfxeDlhnKlcCZLnBdOGu3SjAa3tiMNjPyi4GMDA3/3RulYrjPC2BAIZ18+lDsIXhSQeNY02cncoAYwm2u2U3AjIeYOvQVUFfi9IPsC9DMNawv1PQjIl/jrEvtEwknH8Tbaj//1OYd2xkwT9VHBF1ThKUv0x5SgXgZtvCTL/SHoLxYqZ50Fe22snW069WxAvm17R5qbcNL/+0AIxx6lRb5292GQVs9Ffdv90d3SI7b4YdsRbOn0U89WfGxJB74/I6AcBy/+pHB+YMa+owY5mHE2ozwKBFiWaoO20DV2nGsbP+CguC6c0zNO6mBcXgpy7fEOmHUhDafu4XNy2zk1eB8JwxXousiMwNoDvw+qj+HldxxL/mpG74Vb/XWdfVpxYoxYsyjoMozsTOXi9KKVBuznMiJP2AziEBzbQMdRuSRwQ5RliX/oa7KpFrbGvl4d0PbdekE0+naKNLe+2PQbHN+mM37u0+crZn5RbLgJEWfY3tvf2WoD/WDGVz4pnMkSp4WTOpvtxF0QU9u7QAzRtR3yNWacAXGH9NlH205e08JwNSo/+s4zAGubiXJc4a9r7NPWZztX54nvOv2gfvtLLqJBE9WltvVNQDHr69v5BtIiG0C4IO7bcVqAnYGk1GsfZLb2bvfZcxq/cD6+L5Gmn34vnA0soq3vvT79Vqz201lSOJMlTgunBzqZF7S8QOw1fhsULZw+jebViH5pxjlgtUPieAkoI2FQ+4KAfi22LAiSJnhPlOMKf11jnwnh5DTUMTYdiAtEbbYNH4DZGWbwfA1QzUa5vrb8ECHK185a+VjUu5RJ2xvtubX1PuvFcbsv/RmWPE7THqvTlzYx8D/6mPZX6dO6f8mgYC//a9LW5TpSOJMlzgonRvDdXbWlk9lOaRt72PjdQFxH9Z9ENE2wGM84D5bLFKsdcr+WWGxUAoqUv+TLQZzKjKWnMMjITAJ+8JfiFvDExwZC7xjDbf4SrrFPIJym/Ajm2/6gDQqUHg+6dhGwIL+oHYyWNKVuzqycRcbMFA3VvuhTbvufXYJkX0Mw6Rx1rbu97l37Rv3e0h5LIM3Ax2/Baj+d5f0JJ6618IgQIytnv6LdTw3ABlI07G3/G0Ede+Xmk7fmnHBiex8M0Ki9TmZH0dz4F5b+eFZpgke9EQGBzp9xUh4QpMlOv9YhdUCPA9Gepoijmz4Fplo3Xk7UQWsVBLlONNBP1DZ1THT97lZ/XWcfnU7hSPhdG+x0wmA42t8D+1IbZJtReyT842LYDpSGXy9Kf6YNl0FIjTv6Jh7uI9TGJH4O4izSoLx4gFCPgT0n+9BrsNZP57kr4Yyfh1JsDb04eGCU1mi2Q5bOF6z5H90QghFjc52C4NmMCdiH1Aas/z+ywRsyFE6Un/Z7N1MgwOjrP7jlvXvmkzrgdpchD5AknbDxU35nXrTdPNvFnX7RZ8Rah0TbqzNE2w4LXBfdFuWcLihT+79KOOETlMlr3xtUTz4Gf61vL/PXVfY5KZyDQH+pcCp7bTbq6nUApcErDlG7R31hP20DA89UI5soe9XncaOy6Tcq8YtAcOyBPV+btX46z10Jp3QG0/At2jG1kdhjNoo4suFMh0TjmXKwc57nCJTrqOwepmPD0c1S2Z3h+06CGPbtWFtgCZUasdrfCmwU9GSAAnHjVYbteFC2uft8uGObvFnEkY8j+BGjDtnNzEpbk7xR99a/LIBOgKrXn/Q2thMN0JBOOOibhQcNznYFt0e3n1zor8vsI2Xi/DfhH4gEcRRYrxJOaWNUr2KvJt8iqDxLD/1RLkHADrDX1o8c6kA8TCOqr5RD+5T97wzm3UkORL22Ta4P5dUxquP1HPn3LKjj1Z8bhFMa4nDEgs6l9qNzDIMHOh0adiNQK0skM8KJBtc3rik68ae0uHFd7+wrGPnupUDQwbUmWZ4yQYKZG7BwJ0KAdvZx8KK0tG9vuUalgymvRJTy1aCHc7E6gWXi1tdGXCjNYft+CRAA+RZ/tOuFGVVh1V/X2ScS81Y44VcWqlK2I2HESknn5wIG5kP7sJiYS0QEC1IT50TUqiDugyJsF1vc1g5gy7gt8eCE406/z8ZkfvzDOU7DfYeOE7GEraW/3FaHdcR/18dS+Ojqz03CyQ7khiiO7uARkHRqIDeBGIdQh2rOAeq87S433n40U0RAHQknZgAD0fTKouHOQvmrbfLMEzrk9Q6/lZHv7hYWAgoaB50dQXa09H8KzrtPEwF/FxcR256Tg7FLoHZbBgcvGuwutQ+Vmfp2W14IrP6+b5fZ6cjf6Nvom94+Af3X9RHXy4r+jiyDBvuCc14CHuQcCiHFwOmJxn0B/8Sx/Txof1d/bhLOQ5wR5AwY4Y1GhnFjHQmn7agQydVGb9K/c27yXZIkyQfggwmnLN00MzqGZhK4rhUtuWA2SmXyp/QD4SSx1eXg5ReePe7bjnGWl+6YFM4kSR6dOxFOtZyploesCGJZ9jPN8FZnaP0F4uOZ4Z43rkGqpVSkReWTi+BqmYYE1V/yVXXT8Pk4PoUzSZLkPXEnwrnTixwBUdouTq8JDd9s0FyEL/D1rJkbL0ZLtQWeBSsRDfHLPntn3j2QwpkkyaPzDoVzXmj4Ajzf1bXfTFSR279x80F/x1vLgXD+irRmRBP4wslLvJ643yEpnEmSPDrvUjjdYzS4o41EkQXRvSaqBIyFT+7Sc+8gtOdr4cS53Tmj28aD2fLwuu19kcKZJMmj8y6FMxYaucu1mUEeCWfZxs+ENccUbN7bd9zmbsUb6ZIIhyIYCGc57z0s16ZwJkny6NyxcEIEyzVIFqsfRRT5mSMjNFh+VWk0NMIpN+o80bZt+ZVmjaNl1m5Z2Aqpgh8Uprzi9JRwQqjVM1S8XNsI7vENTG/Bqwkn2dm+rIB/xV99nwU3dHnPxOIGrXt8VjZJkvvmboWTgxoJJ7+hhcSmu5EHAlaEpn/oWWFnnFjG5btzS8Ck/fHjI1jGNWm7winlDd9KQ2B2KnfoYklYlpHbY3EtVYs0HqB+XOHkQYi1M/tSXW8eoF8Jtg9+ZOAiYmntfQ0YDM1d734g0OdygJJ8IO5SOPGYBoSN74gN73yVWSf/woB3bbJihdNShNDbj7J0gbUTzhKMXZGDoMr10/oTV2E5ANKmY1nUUe5OoN+eyHf+87MRNOP3BkMbambebVeDniEQRkljE060p2rTo3axzErZHg9+/OpSeyfJ23GfwjnbwXBzDovS6HgJaJ8oENfXd2lE1JzzKbC6YqiEE7OL48dQSDxXZiAI7igTeEfCeSkDUZPBjPYLrjW3x1QQrHfhJD8ooa4rG/acc4jQD9NDW0U75PYWtJmrjpkAM/KtnWFQ56Rz1TGVpb6dJHcM2vvVn5uEExy+U7QBQWtu+W4eBNlRUKU8cb31pZafsKyLpd/FFz28Bke+uwK9tOrPWHfkvb7t7NS+nL2uTOB/eYmG2Ne+SYoFiQYrq4Ed5R2LMKVNdqvHYCXF/gLIdcccUwWsii4PAK0NLzrGwiswdzggTJIV7lI4k/vl5X0n4nBGwDw4uFN67SwVIkmCswV4mTGOAn4IZscH4tXPtGQVRIvtVcccA/v2dW0F7apjPPzzkuQ9kcKZLPHSvoM48DK6FozusR8h/GWKCpa9SWgwK/3hi8yG6rVOnm1u5yKYr8/cAIvZUCh8cWtF8KpjJoiEHrPXms5VxwQc2yxJ7psUzmSJK3wXL8WTgOFGLwieFoifSfy6cw5mWxTY68spMAtiwUSwp238W6z0/3Y3NbaviI8CaYdlYCDKdelZAYHZhOeqYyYYCV7dftUxETjmpL2T5B5I4UyWGPlu9MPPlfoL8Z0A4Pz6CAkF1kaMKEj/0M1QBrNEElp9Y9c3PP5ThRfl4O1UlnoMAvnJGdChcLLAHAjeRcfwTI6OiZBzYbdgiXWz51XHBKDMKZzJOwb96epPCucH5uV8B2Et/1NgbcUIs0sTpCEkrtiZu2xZcLxrapRmmZFCcMazxpjDc19ROJvtA1jcNuHCjXDyTmedzlXHeORSbfLeSeFMlngV33XCKUFabxsJln6mlGe4FNz5OwV2vSQrM1xZ8u0EaRYImkqzZ2aJ9apjZsGgoc5O5RlkFrOmHlcdYxF7nx2oJMk9wHHw4k8K5wfmNXzniaINyPUZTX1MD4mNelSpSxcCTTMk91rdAlbUW3yhaOtz1THnGddBuOIYLu+N9k6StyaFM1nirYSTZ1ZaREZviyq06bQium2j+hyJwTHjdHpx60XwqmPmwPOx+hyU3w5ErjpmR547nRnwJMl9k8KZLHGp736NX3XYiQFuPKoB99fgrU4duN4py7W4Psg/G6eCNt+9i0dfLpixsWhAxL736tQKK5aI+1nXVcccwwJcz4N9qNz2muNVxzTHHrxZKEneCymcyRK97zDr2K8pToPrjZSWt8zoCqcCv5JiZz6h8FFAx3tx+T3BEMoy4+E8St41qA+fCZ0CN8gEL3nncuBaIOoc5HXVMYeoNMge/iDkqmMIiKp63WGSvHfQ5q/+pHB+YF7Dd1U4o8db5EfK63eafSJwWwHm1xbKiw7a7XK+/Tkxfgk5pQMxvV1AkyT5yKRwJku8jnD2wjYPZsAQv/58vEt1NPN5wqzU2Z4kSaJJ4UyWSN8lSfLopHAmS6TvkiR5dN5MOJMkSZLkvXL1Z0o4PRVP7p9P/0SNxuAdlyRJ8lFJ4UyWSNFMkuTRSeFMlkjRTJLk0UnhTJZI0UyS5NFJ4UyWOBZNvE3m/EsE8Msm3bOUeGlB91wn3ld7xdt+3jfWXs1vj74l5Vdj5HWAeB3fmq/urV73UR55qYdrR7yG0n3dYw8/z+w9J80/elDTwItCzr6KUvmb0uRyLdoKLyTBs9xr+V9jnxlSOJMlDn3HL/KeCCq/Rp0Cwtu/CBwdqXkNH/IZBWPuKBS4+e1C5Q1DfDxevVe3tSBf/8ULItL724oc8ApB+/aiF0de8o73w9Z8+9cRvjAcbJ16QzipXPId5STb22NC7qBeDXdSHtiU+p/XRvm1kZu9x+AXbLxXXXKf2tKg/nDiPcgCzt37sLzScq1v8K/sTNZn4yL7zJDCmSwx9p0EGARSV1w2yntqVSDScMe2jZw7Re3IlA9Glts+R+xwfNNZveA9GxykXsPf7OT8KK3XDKaNTfZtcy/Av47dX3hrU/FxGUjIdwxa8L7g3feHtryDem3cSXnqO5X16ybxIwVfsSKDQd+Xur3auR+ASlv2thOXCqc+F+0Cr9Cct1d97Waz/eD8a+wzRwpnssTId5eN6nhpFn9VICbwujz+H6/k2zoBBTAqU9/J0GkOhHM6+M0K59qo+lai377k5Sqz7UXxltJhj60teIOWmCvqJT9S7uxDuai9oB1rvPwq92FnEqNiwy5fEoHaNg9fV8nttIgL3s+MNlv7GQvPPthhYamDHmXL6B3SO/VctQ0DqcDO3goQ/6KRHoDT+WM/XWSfSVCWqz8pnB+Y0HdFODCSa0d2FumI5xrvYLRs0QFiy7d0KNrHy7joREqMufw2HeYOhRP5RTOCVymLXWqHHdX3RkyxPD7p75vqheBJAZfaaPi7n5QGD8rs9og3t7MAMaj12Qeo1C6xvbHtuK26M7nKZTPOhX4aMCynw1X2mSWFM1nC990+2msavDcTOdEheZTIAlcEbxNDiN1sUEOHKcd6AW8YBKWzfR4NCIrwvkYQrYFp1PnZDy9aHlMGskEzwxjAP0XmrkxcUC+aPT2x2F0hnPdgZ4LafVNmrgNuhCE7cvnaPhbOtrk+g763IpyYVZpLMjIgxn6xmy7DyjItaOLIEZfZZ54UzmSJ3nfUQElQauBAY9WBBh2gvTEg6pBqWbYuIZV9YSdCgKTO6wYt7KMgEc04JdhRB8eyDjrRtk2lsYFA8NozTrJTULe5oILAATv2geMyUOciUPgd0rasKkjjOFcoW66rF9pYIJxq2e6Ie7Gzd0dq0694lWcibww0ldhhAIPB4LZUWtKs/aUut35lATL+bUQWaLG0/QX+GC2z9sS2x8Co3XaZfRZI4UyWOPKdFc5eKNV3zA627Tu20/B3M7qVjo5AEARkzHabziLLhZyfFs7a2V9QOKO7eEdsPxBt62eCn48sh3+FfRFAELQoHb9ut1DtR38pAPf7FoTz0nqhjdUgbsDshNrG4Q9w35WdNSLUXT4oL+xNZWmPr5A/qD58Do69VUgojVg4TRzAsc5gGY/F/EADVxeIumN/8VvgW+asfdaAr6/+pHB+YHrfUUPdGrYEEnuN8yvNRvQx200HCFxOoLHCGXb0ICCHNy9gZoAO/MrCeRmURx/kvbKpwclrQOWSpTIEtjrLL6KC/8sytvhBAlgT+C6vF44LgivyR0Cu+5A3tcMmn7u1M/Ul9K9oZov93MbRB2FvEvQqFBD3elzUn1agNEbCqfswRHQlP15iJZ985jr4x7jcYp9FUjiTJca+M50HgdIGLwpKRwLjCqc3+h/MOPflGye4bWVQ5R2WS4Lm217jRCf3tnsi8boBfb9mBDvVfNX/sO3mJypbY6eXqJd3boGCp/URzxa38t2nnZ+oD/D1fQr0bvtDH6nl2wRC2qzUl+pVj0X/4v60n7PfR9DCA2FPiCCc5Mf92DJQqvYp+59WbYS2Qsd/LTEAlwBmzr3dPmukcCZLjH1nO0nteOqYs8LpjVibgNyyB0On425lUPuG5RLhbGcbhol6vQhevti2Eqxugmzzfc1LCyd8T/9zoKLyhMIZcFO94FcrcgO2IO/sq7yVnRHkEdxn6zKD05+6PsfAn4EdYbOm72GJVIuc+OAzDzidvuuy97OtPGRjvPHHP554CftMkMKZLDH0nRdc0MF0cPGOMdhO7HdqAmkFnWq/xlKCKI065dkwHE+jbxzHZcHoFiPV9vyW+xVO1zYzZcEx5MvTZS4jex65b2ko4eTgTPsReHllQO50nBXO0/ViYuHEzKS7qxZt9CDd8+WRtoN+cyjOh1BaNEjZb3jrgb3dvqJh37TH+H0MZV8YgBiQpr22OVoa5WuTpQy6PPz/SDw3LrLPBCmcyRJD37kByARKdUzUiXQHAtJx9LJQIVyq1R0eQdSfFeydU4Jb3KFk//0JZyAQE0LAwRPB/KYZE2YZcp26fq/CWZ+rw/IgBzP6X/yKJb0jO91QLyYSTmzv/cwBfhiYb7NzXerk5cRRG5qguenG4Wg/A987Nuj7mFl+7cCydjmOfAzq7A91xaBU7tyteVH7oP19OkGfV9+5nU34/hL7TJDCmSwx8l1t3G3nMyBI4Rj8pbSa6yfUCbeOis5YOo7tRPvxsozTdyYJkNLR8L8jDnyu7ohyjt+p7lM4Q7sgoM+M0C8oc1uGIpywbd3W/C9t4Eg4L6mXbVsFtFF9XQt3dm7XvtRxmpvKQ8fcr3DiGqLYwq8j/GltI30BfRew2JoBMIvm1i+lX0na9H9nLwy+MEs0aXTlqfnixh6vzwuX2GcCjoMXf1I4PzBD3yEwDgIQQIfwg43TSTmwS0dB58QMte0wZZvdVzsu/ZUO3gonBzCn8/ENEm6nkk77tjcHGZrg1BIGegNG+bcGERGimpf4ELbd9pNt2jIeCOdN9ZIgLT6v9IGfb45R+92bXyo325lsQnZGXhCZsN6TXCEMXG4a4Ojy+HVx+iTBN4O5NvNFUAbEZGtKq5k10nY8IuPFjLZdVZA+bEll6tqVcIV9ZoA/r/6kcH5gTvkOHYRv/5YOtNpw+WeQqENCRHGzgQQ8Tdu50bnqdx790jEIEvw2EUqrHSEb8XU7pAjnsNwXzN5mEeHvgxOCnNinD3YWfoZuJBhT1AFFTQffg6Vfsi0GFz8g8AV2uqJeV3Jv5QEiKM7ArXDYTgmkYX3AwgkRa9KjNkJ1nakj91FnMLqDvoU+XNsH+ps9ZscXzmOusM8MHAcv/qRwfmDO+05Gi1eMuoewSPcdrl5rE/GVGUAPlhnb8wTMGqJ9Bcp3tIR0CVw3f4QuSDlfNZjzgKN+h43HNnBnufdWr3u0M4N8ScgGgR+Dk2E7ZchnZls04+zfCPU68OB3WeCuss8xiBdXf1I4PzDpuyRJHp0UzmSJ9F2SJI9OCmeyRPouSZJHJ4UzWSJ9lyTJo5PCmSyRvkuS5NFJ4UyWSN8lSfLopHAmS6TvkiR5dB5COO1D7fU9mvqYEDy0e/Bs2jnkWTB5pgj/v83zUqsc+i60l65vIpy3iTwPuf6AeMRNfSRJHoy7Es7ut9fwtpHyxgcXfs3ZUeCh4IS3fKhg/kT5rAhn+4q4qEx4ywbeUNO+Tm7/rUIDv09TlR35RG9duSOOhDN8DRnXd+ItJHQc/65eY1fYSd7q09pckJ8u80REhGn0awmjV+VF+Q1BelTPKVGDz/lYZ98BZ9+s4nNjH0mSB+OuhFPeYzkSD9q/+msOVaDMtu5VWhGdcK6CMqvgiOBKfyEwbbpt3fD6t33f/TAWzjKDcvaFgmqBvxohQ1C3ac62AxGEoTBxfpTWqkgU0TsvLqgDygabra82TNtzhlv7SJI8GHcmnHYkjdmd7rwmYKLDq1GyRzQyx1LUceAlbhZOKUN9NyR+jUACOolp9E5FmrXARtfNKK7D950I5lfMDrfZYlkN4P1l8NDUV2ZmnfDMCOd0UJ8VznXhYp/e0C7a88k+i+LpCScv33ZtCn4YC/zNfSRJHoy7E068J7IJINTx9yDZCmfU4TcQFKOZyTBgquVYzAzpOFnSOznDQPBCOSlPfo8il6sN6JfOIF6QUDitbbR9a/2348t+zzd8nl5eLUu1ZR8LM/liE4iy1OoH+BcSTi77DbNNFjOTZ6n3aOarl47lR7nFFvXXX9Afuroe1Y/rcqaPJMnjcn/C2aGDnxZO+n/YqSWYj4Imi9VRYKAgd+uMs4LrnRLgkO8DCCfbLZhNRQG7C9ZIuxznBfJhcJe2c/XPgfFskeyAdrFyHjMqL9tEZo1H6fozzlXhvKiPJMmDcSfCqWZ4JCrdzw5BvHjbLpxVhNp0duaEiPLl/BA8/GM5SG7CGd0YtCO/O+cFGggIpYNARuWyQe6jCiduMnFnUSwSkXDGM04J4pQflhGR7rZNpbEhwjkShvH5DmiLVO6vm7/Il1EdLV3dNLSPbPsZN+WgDeH/cqxXtiuE86o+kiSPxp0Ip8Jb1iPRkZ+KKsKJn/3ZAkT/EzmcxnatLQIBGcGezqcAwoGqm0FI4P2E63fBNSg3WHlQmfSNIDhPz4S2pTf6Pxbft2dNOKkOvG2vd7PfqyP/pJP2P+6mLT7ezlH5DYSh+u864UT7k3xb0UH9IHKxsLi/7TiAfy8TA4ZAkPf8d+HGtmnhvKyPJMnjccfC6c3uKAggcKnv/IvvOjBQoOgDlBdAiwg3xxkQdJA+ZopULk/M5oQT+VNeKHPZ9hFnnM2NKVgChd3KMRx41XcvoD+RaG7nazDj4QFTPUfye13hLHUs4tj7S/LqfbgwI21wBoQbahaolnWnhZO2XdZHkuQBuWPhdPYddmQKNm6A2mcK7bZxUEBw+oqbLzjg0/F11lRG6/i/CiBmCH2gE/HHbLIRDeJIOEe/jv6WjISzn3EaodT2DgRL/yhy55/tHJVfkI5QxcwR48rkNU60hcY/7kAHZS4DrWa7Nwgc4QwIkQaVVVYjSCAJm/+ccF7bR5LkEXkHwqlH3ic7shdcsW2YFuWFAIiZZhMI25nFLoA43gvA7fEVnBct1coMywax++C0cNrAHAgegv82UAmFU+0L0hHE9p2YaIbnC7iebmdovnASSI9sNMyT2UXd39/D5QhnvLLtWDgDvOO4LimcSWK5c+Gk4NKIkRNMJ3CD3EFA2d74Y4XTnKdnjhz0nTTt7NLbFgbiO2NJOI0tMCjY9sOuQ1sVod0GFTi3DKI4bfLP4RLorcIpszxvADPylwyKxr7ktnKDKHn5Y1tXV9RvIh+3PkPbJMnjcsfCaUUTnBHOEoBt8AsCt6BuUDHCycu3Kq1WAJGXDZp+8H5E4Wxw7a/TiX2920psG9vNt31DWE6IZlz+sb9G1ydB3yb5ZqDBzUUWL3/bppgp4TzTR5LkcblT4aQggptpuv1xMI0IA5wRxBB9HP0/I4BtuiKmM+c15XxXr9w7KZyd/cVWEqwDX1O67ZK4b1/hFuEcMxbOEWIrr0y483a2LJFwdtdzacZ8JJw395EkeTDuTjhZeLzRL7MonAhE1PG9QDQd+LbgYR+TELpRPu4MbcoeC2d4jRPlhoDcYdAaCWd3V+1ABFz7V3/B5qi/8bU80tH7U679tdsEEc4rbg6yTLefBprFkp9HQi7t/7iNe/l3bREczTirzZ195+qYJB+fuxNOnlGEnXVeON3n5vCMIAV4vLVn+uYbBHEbWJEOC50I3CgQRrhB7h0wEs6jGSceN+G7Qdn+3mBiT4NnX3QMBhN4PhJ3muIXUvbjcXeogkSwD/4vN+OUgc+aqOActDu8ulEQO+AuWVyz/YHa0w9YbcE2d9CE5WM517efU9eBcF7WR5LkweA4ePHnNuEcgsB7EOTQ8Yc3jVAwxcPqswFhMCIf7jsAM531Z/veHt933vVACJr+vm+X2akTsB0hgiDCX1VsWGg6IluKr4d2hpg7s9gjZOa4JpzPuI7Jqwoi9u4xwBM0Dbe7dbHfuLqPJMmDgbhz9ecFhTN5a9J3SZI8OimcyRLpuyRJHp0UzmSJ9F2SJI9OCmeyRPouSZJHJ4UzWSJ9lyTJo5PCmSyRvkuS5NFJ4UyWSN8lSfLopHAmS6TvkiR5dFI4kyXSd0mSPDopnMkS6bskSR6dFM5kifRdkiSPTgpnskT6LkmSRyeFM1kifZckyaOTwpkskb5LkuTRSeFMlkjfJUny6KRwJkuk75IkeXRSOJMl0ndJkjw6KZzJEum7JEkenRTOZIn0XZIkj04KZ7JE+i5JkkcnhTNZIn2XJMmjk8KZLJG+S5Lk0UnhTJZI3yVJ8uikcCZLpO+SJHl0UjiTJdJ3SZI8OimcyRLpuyRJHp03E84kSZIkea9c/ZkSTk/Fk/vn0z9RozF4xyVJknxUUjiTJVI0kyR5dFI4kyVSNJMkeXRSOJMlUjSTJHl0UjiTJY5F85fnr99/9/z151+cfWe5Ls2nL989/3AynW9ffuOe++17f/shv/74/MP3Pz5/+9XZt8RPzz/87mQZkvfDrz89f/v5mK/UHj9//9Pzk5fGAdyWv5w799453U8dUjiTJY59RyJHQfzrzWKgQZqfqNF7+xb4+Tsq/1rngdDWunz7vpZB6ijpkGiRTc6W7YnE+NPvfrw9UJEII1i6+wxPTrA9hOzw2bEdD0Qo0LrnuFA6V9T3nbBk62LjpQEi2vSk3xkerJnjyzb4ZG/jV/AL1Z/S5r7i7feA8F8xmOy5sm4pnMkSx76DkNyhcCJgU9k/e0GexOvz7757/uadp+qzdTykVYMPBGtKCBBEvLyRFgUKtQ0zhlhMqTzm+CFIf0WoyuBi2n8nAvcjCafPifYMAQraLtpKt52IBAvt+PMXJc7Kh2fE5elXatsE8sTKEPJFX/uEvygDtlGbnfY52ogzSAvxZuLoQ5/aPp3CmbwZ08JpG7KBxQENeypA3yacmNVBGH0xQHkpkJQRd78fHU4LJwUItZTFaesgNIU/qu4CmoPNzy494zsGB/U7hHNlBoMyLAnhPQoni38wEOJ9VEeDtC1pZ/v3HbYLjqWy/wfESp3bMGULWbFYGVzWNtjti+xfZ5ET59TlWe6XVP86uPyKOge+soPATTy5j/THr8IrMZ4PkY/dNslVZQPw9dWfFM4PzLHvIETR7O0sY+F8ioSBRqIY7YpwSLBqRrHYj22BWD2ZkawOKj/w/wgUe9CpYB8C07CDI3jpoFQCXXecAQFLl0uuZ+0zjv07lsiOhbihjPRXAvoehGXG4UJl2maxryCcPHgYtBcB7dSrK7ZbASyCqsrtLbE/WZ+GLAqnspkWLBbFan/dViEu9NdNq4Pqq+p6q7isnR+swoCyUtJup23wzZSNK3u71P0X3HJfQApnssSh7zj4nhPOsBNtIuDsq6N/Izq4ttLNtFRgQ5Dj5dnJ4CUjYAQFnSY6n07DC4hBcMBMsRE8CLw+RoKEH4RUMBgIJy+TLQTBbVZFtpwOTDVwe/s8Xlw4yQeoP/lrPGg4EE5dRm7T7TZPOGV7tLKhifI+war9DU9fyFbq+8sI5/os0a6sXIEtWziLn4Dj4MWfFM4PzKHvXiQwyoj/lg5dwWxNZplr4oA6YenqBwo0cv1FtvNsc+t8CIhXz7bH2ABzOuAgAFPZv27nkzgjqB4FlrsTTvIByn+YTyReMohpBn/s/1Yoe+Gk86btPmonGBRF6bSDsNGM0zt328+Dq3blomJnZdslFZuecy4f3w1wZdD7KbyHwGe+Hat6WUzZW6FcnPUbUjiTJY58J8tVdvbUwzNIdF4njR4EGnTI2cDUs93dR3ki/+nATQG43tiwjVgRlGnbVwoQ+P9rFfQJUeBHWprA0iLLR/65bqDjIOjNOMsxWPI6nN3sItIGLMze6lK3PafQCCfyV3kXmiWxCRvdBJVH7Ic6jYL1Xme7HX7VAzUEXCz5D4UT7aRpn4NlSKwGIG9nH4sMtfXpJURqE6vB3xUl7RcMFE72tVtnrJV54dSIGPqXXqxQpnAmr8ih79CRJzr9UgdDp6Yg+NUsKw3BjQpYrqWAh1linTmxsFPQmgpMEFvVCb9BRGpHQ6Dj7Qi05ZhGRHzG9S4df9YuCHCdCMlMcV6Yap5Shz5gYf9g0NLU2RMrE6BeWDjhI8lfyh3bciScZEPyk9QZ6VCaqKcVTuoLmulAX2xwvJxcGcyqAoY39ryRcPINRM52D7+MB2XiOBGJYfFj8z2FM3klrvHdUVAz1OBMHSO6kcfi3U24iaY34+OZmp6JUifXaYSdkupSZqQzo2QccyScM52Zr9FGdaE8ZgcHXG9VZr8OEBkKxN6goPpmO+4thXP3Bb6jLvFAZiyc+7l0HP6inlY4dT1W2mZJ27f1AmgDYf1ivHybbUhX728Ebyzi/VJt4Qv6nrQh63tvZt6tnHB7p7QH9eWVAe5bKKO1K/mxaXfzfc0jhTNZ4jrhnG+0++hfzyhWwAyCOiJ1HP+anQgDOrzu1LpD87UenI/v5Y6/eqzcEII6HQ8GEKBuE06pC4J0k5YejRcx47tLOdhgtu4ELNpvg30YzHng4NSv5CXf31g4Sxk5QFfCvMbCKWnJTJPtgXo2PjfCWc/bvkfs7SS0tQudBz82bbL9vkMiPmhHfb4QFeW3WufyHf1g1l9LK0kb/Ux0zTYE/KVFlerQtO2mnQL44UwsETgOXvxJ4fzAeL6Lr+UoeMRZA30UtDxMMLYd5AC5tokAA8GhdLo8JZCNO2kbWLpOjUBDac/cTSyDAMc+zEHA46XjPYihHDVI1XT5WB0kSFC/YeTepEnbWOz1NmEUsPQAZqMJSMWvozpFwllE7yZRRbDUQZvTjOwZtcEqgLKfH2fCMajnUDgrZqXCwmWSdhLbuhcSaae6vGiTe/6tYKHscVu0+ep2xKA9q/0rg9Vzwtkzaoc9GFRYX0i/1v2jLdfYRkekcCZLXOO7+UbrBeupToVrrdSZmuutJvjhGAT1o7Ta/HCOLTvq44iKA2aLfDORFpxtMFBErh6Pm4EGQXgPeCao6rQ7IJpewBfGtnUCepOX51dTtkg4EazJhuGLCyboA3wbPFtQ1pFwyrlbezFtB3ZyhZOO224Wc9ABPLS163djR26He/7zwok2tufLqyV2WXMbxNBxBPr8TNsGbyGcsgJDNsMKCrUBhtp4XSV6ctvcyEbHpHAmS1ziuyh4GuRZS+84CWqzHWtn7yySthc4PTCLgBBTZ0YQwehWnVfTWpktNYFhE05zHM3WRuXDDFQCrAkCOG/i+qbHSsBiIChb2Q9mW2Dk+8l24UNtopt1SH38QQRsNhJOcy7qqcrG+0xZ4Y/RqgPbVpUltDXl1YvP7cJZ7yzn1ZcimOdsHfNWwslvBuvaPHxJgkr7Oz/f1NZSOJNFrvBdE5AC+PqcEwh36oyAAsTR3XYbFCh+RsCRALbUacrslIMNhLIEXe7gpQNyvbg8zvkNJrAFwjkXPPZBBAfGMss+GxBWAhbTCOcEg4DFM4dTQbe0BWqbTVlQNmzT2/U2heS7p8Pfq4Dpc6jsw1fuBXWT9ty2ucjW3I7MsVK2G4QTdjcDBRnwQXAww6U2E0L76ZjDQRHxGsKJMnnbPfg6/lYedR58GvhqBvj66k8K5wfmnO9khCuzMgQYZwRY4ZkdGvtM59gDHd+BF3ZsyR/Cp68RTkGdFEuA3XlBORH8uTzUKb3yyKjfiiuCIIIu7LMj9YpFaQ98bRlE2MvMWG2fAYFvRThrkPf2bcBW1f9ULu94tsuUz98ZpZ30syGCZ6jW77U9Lwon+QE3qMlyJexshDOEhJEHXKoMKFPDeDBYZ7K17HPCiXxFkD36u2oLtX9NtNF+GRp9Wc6fTSMC51/9SeH8wNzkO55tBEGExe3cbKkbgZYRMgvb6RkYlYcCgjebRaDw7lLd97f5IUDgGVR5nvR8ZxWKnTgtb3/FBto5ZNY3X0aeSc0GIPJLP2j4qJT2s2DLMeRPas8ztlteNbgIzvdoEPVK8KsEA1vxLPRG+6RwJkuk75IkeXRSOJMl0ndJkjw6KZzJEum7JEkenRTOZIn0XZIkj04KZ7JE+i5JkkcnhTNZIn2XJMmjk8KZLJG+S5Lk0UnhTJYY+w7PTrbPT+HlAf0vOIyfg7RIGq//XNp7hJ/DXH3Jw9WQf/sH+JPL+RUvLjh6nncGPF+79vxuxNv3VarLiRd/rJLCmSxxJJz2VV/uK7jwuqvZB6WdV4W9BVWQ2gGARt7i4wYxvNHFPSdGXlDtpMfB0tiubEOwuOqVZ0J5qwwHVW+/D79N6IbXmb1n+G01r9hWL7M1+tkFLy+Yb3+DNwfhpRonX5SB/GEPPhcv3PDePlTa9C1+SuFMlrhCOFfebILz3VdvEfJarteZ2XA5hmXu6z4EQqvSmw84TlnUQGQlnUp9J6nY9Dt5fRr5ub4KTn5xYjY4y2sQ4zIgL2/7RwCB+qXenBMIDUTG9I/tV0HcdCIxCWARmxfm5fZnB9G3CDgPXlVZkZZb9sW+6pDCmSzxqsKJjhB1InQKKsuqSJzluMyvJ5w22OjZsLzwvfxPaUYB1AbhTTwXylFf/t1C9cIKQbdd4HfyRisIqFdnw/19xLZcKCu2N3Xkd8Oq95HSzCUS/eHskF8PWNOnMs2IPZU/Sm+UF7+2sJSXf7P2sG+gjmVWpbbDHkf9yrZjfv2cWlrlslD7qd8hnCtLr0vtGJi2XIXTb1viW7eOaHc4T29j4UT5bTqIHSmcySvS+a5ZhkSDRND8kUQEHagNxBw88M7W4YykgsAVNW4JpkdB4kpuF0551+jWiZGeGvlrwUOwml9+o3wbEV0MXIZbz2/tJGJsj4ngoO22DdiWREUH2CqojZ3kONixbsML71sxRruiMiK98BJATUfK3qfhAf/q8oHjvNheOuCXAeFh20aZmgGDLNd3xxkwYNKiJKs2qh1u36WfRuVA+/UuXTTtWG+nduW26UA45TvOLdsZ8XnXPlBWXU5Kk7+zcHr9CP5N4UxekbHv+gZpAzGPcI+CAtIhkcEL0fGi8vb4EjAngsSVXCKcVJcteFLn1uk1drLBZAC/zFp9fxnhJAFsvgeUEf5eniDQudCxCNiunWFbE3iLwOhtKLtnN8zIG9Hi2TXOj8WsDfJSj6H/Eay9eg7z8u3D+W/1oPONCDHoR43g2ZmVzGJ92++D3ZFw8jJ94LuoP0TtD8e7aaGtk61r/rL0vNe9/jaqgHbg+2xHbAr7+T9gDY766jEpnMkStwrnMei8urHrzlIC2KSoXMnbC6ea2XNwa2cOFQnw6jsd686WoqUwc36defBypU2jQerX+trUeQjZD/Zwgx3qASFQZYD9KO1N4IqQum2N62q363alKW3M+LoXUw2d07RZyzgv6+tWOF8W266P27kQHXdKOHVd4cftO9mHBoabXYvIxnYuttNtIpdqk3tgVjglqMtSrbd0E92p6S3tyfU3nNMHtNfiOKDsdff3i4hsy1tIT4/0tWCh8w8Cp1sWLThGlFdYH+gQ5BuZqdgyS52nhJPKLPl6dqT0yTawUS0bX9clMd2CJILqUjBEPl7ZsN2xwSj9rewRUV4+Ix9ES6SVqF8Bd6C1zTD97zwDdMr+OsKJ86gs2/9+nhs8eFI+QswgW3XHlfY0EuAjUjiTJYa+44ZLAoCOVzpa7UjohPuxCCTUwCcDiaSLjndODK6ABwA6oHSYTtuBWYmuM2aQwRIoZnmDur6VcPIAxtnOwa/k3S4rYraqAz2CsD/4wfN/YjuZhbVlQKCrgzCci2PoeJ0v2eQS4SxtuLMB8nLTh1+L3UMWhFP70WHkH7FLLJwd8EeXF9lZz/ICLhVOKsPWZpqlWtkv50ndYhvCxmr2Tm11b4cOyGd2UOeQwpks0fsOHa0ERIxWTXCpHQkjx62RorN0sxMP6gxYyoJouqPsEphnA8UN7EHb3y8ddyFw10A86LjRjTVe0Gq2ISDq/Y3gjQNKM/PVkI/he/itCaoU6OGDbebXcBTsKq34sAg27UOEc99OtsbfEnRxHu97C+Gk7V8P21+QVwdmfGPRQj3j9j5rb0oHbSTqV2xL5BO3d25vzkAyaj+Yybrlhl21r2F/43v29XBAQcfUgVRzrse8jUakcCZLeL5DUBUBQIBog8s+Ai0dYLLhcsem46IbOIRrOsEM22wLy5I6Pyx/DfP3hYqXnUczWAo0sHW//FmCViOcJXDU77Cd2s93UtZ9B4xnNAaIJgXJ+CaMSf8UsWJhrjTpiXDKcRIguX4IlPU4/H+FcPL2WeGk+h3ONkGUl+ZYNMHtwkntESJWBiJbWnqQhrpSu+O7nMkWn3HjEfy8peG1QWE04/SOr3lt3+Fj0+axGvFD2C7RNkrZalrD2ea+CjJ6XOsIjoMXf1I4PzBj3yFARMJZOj11Ak8MKvymGggKd+SjQDDaj31eEL6FkiZESuXJgWhlGZk6uLdE1i9R+tgg1ARAgPTV/n0Z9Jhp4cQAotb5VuGk8jZ5skDq84pwFgFCG+J9CJQ13+4cDYlEtz0SM/GDDfKwcdeOeEldfQ85Ek7aPyXA4h93RUCJQpQP9y0lgLrd1HT52CpA+B8ixP1RjqtEqyHT7aei8uJrsLyyQeXCtc2aJ46ZGRTpcjMQUFvOyTZ5QApnssQtwlmDm9+xENxWG/lgP3WiKmaYvS515oiwA5dgOxgQ7JCN9OywgrSnBF5mDDWw87OxNjiwnak8ZBu+8xT/GyGIWA584Ebh7IVd7LmXowqnbN/s1Nis+MCpp31kR4jFrBdJL23aNil2o7yidKLrjPA9Lw2j7pu4kf35/yJy9fiD1ZBdOFE/VT6d9iLz7Yf6Owk58pXBbZnVbnXZj5XVlyhuKJxyo45teqauJ0nhTJY4L5ylwdLIWK5LzgTyo0Y+2E+d6FLhZHGguoVlQd0pABwFHF5GwkvuMbOmclGg+0rl4yXIg85c3xsLocTIHH/nAvc8ryKczQCJjnGEg8Vrs2UVTrMdgVLni+8cYPf0w+eGUWbyl98OxZd6cNINmOCLWTsN8nJXAxzxsLAg1HpFx6OdDdoU2pO0OdNvcZ5rl2NW2o8sGbdLwF1d0Df4u/hkGDfg/84OOE+3waOYMkcKZ7LEOeFEcNTCQMfxzMHpOA3SyHHM+tIU8pTRLK4lxnnMIOU/7GwcuOcDB9LlG6t4tI2/auRtj+Xg29ZVrgNDQMkWJEZ8HdZF7DXzjthbhPNbycf6p/Ef6gmfcNCHf6nO9L0JeMWOsv1/bcdwuWhf/bsdo8RTBhdlO0S0E00JwNu55bjOt1SXLZ1uwIT2MNOmjvLy9gvezHkH56l+FghnI64h4gMcx7bjgRz97x57zKn2oyltifPX/9fvsA2V0R1kok24dtArDqhvCmfyyni+kw6H2ROEqhdOdOq+I2JZyQYkSwkQ4TEQnpHwXoGI5ricFQlCh4GDgjI/0M/pmsDG+yaXppga8GRZVm6osoF4XH4RG5wrxy8HPhvgPjpU35vE4QbEV9afReSr/wvwpTsTLewDr7YN8nY+d92n1wkn1cnLv4qn1+8D4WQwEMIMt/StFM7kVYl9ByFEsNedEMIWjA7fBSSEq8KMWZXZxs82kh0wq+SbHkbLTRUKEGeXy87SXw+aBEJCdnL3JTeD9sNL+9yXbm0T0ieR3rhfnpmZySDzJlHitoTynagnDSqOZthzr/w8JoUzWSJ9lyTJo5PCmSyRvkuS5NFJ4UyWSN8lSfLopHAmS6TvkiR5dFI4kyXSd0mSPDopnMkS6bskSR6dFM5kifRdkiSPTgpnssSh7/AcVvPCgzd+lhMPcwcvYJh/scFFsG3ih8rxc06v9uwmXrQweEZVXof2EmUpz/rZh+6pPO1bh8bIDy4vPmN7A/YXZvDyjtXnFflHqB3/9s8/RwQv/Cjt6i36GL8r2cu3iwMrXNQ3UYbuZRHXkMKZLHHkO36XaPMWGXmQWt4mgpck4JVpB6/0qoHABMsGBM6JwB6+dozyGP9k2RGlXhzI6P+ZFyXgzSaDN+ygTjc9PL7KoDz8xqcj+/5K/vR8Ayigoq14b5GZqmfzFhix9Ypt5sVoBuT/ictTbdX8vuwALSz7W3Vqn0D58Has2bft4FjHDmjLxY/IL3wl3YtwVKYTA2f4fvrNWQMO+tstpHAmS4x953UiG/RKEBo1aBUI3P2AOsWxcFJeGLk6++be4zmmEZdDIbZ2oDKYWVYVYvmO156N0ruCIOgRZ16dxoOZYHav35MbCScC7HbuSDhhm2H7aOvFb25yQToTMxL2rWlHtG1uRr6XZbMp8q11m2nrhbjNUh4qDR68brZ7eVx/6nod9g0N7AU7oe/O2SXCfYH+RaRwJksMfdcEu0ovGNI5Bo16Jpgg+ISBSwTzK7/Dtc5cS5Dk/RLM2pfH0/7pzi3YWVmd5eDF6vo4BnVSQuC9cD0SlLdgWTjZZ0H5TeAM66kFpWlLbRuydrdEAtPVCXlMiFaU32xgrvWV/Nvl1vkBHMSx5iftexf8vj+t/Hj5Kt2yOmaU/D+WRkt9mj7sxQAf2Gj3O9VrRTy5/aiybP+3yI/I32afFM5kidh3Uefwt7viUuFOB+HrG/1GHVVTOr0IOXnqjowOZoMVB3cnENJ2BCyvLPwydkqz2Y5ykY3sMmETZBGwOS8quzoXZa5iXju3TuPFcK4vyi9m6G2wTyxYWgx5eVLXvwmi7bEt8FsRt0g4TVo9sJ3aT+WuAtPmG7VXQ9Qu6r5BWfoVhd2m7F+yJcrUDuBkH+qu04XAbqJfy1TLTvnIjyHUpfMiYDOz6Zfi0E8O6Jf2HE5nsh5oM4d5qjbm7p8jhTNZIvQdGj3tk59g0oFAOrENDsPl2plOh3QRnOlvH/wC4eRATEHGG8XWYDS7HTTBPQa/NsE/Pszf44AdC8prsxZcvBtEUJdNZI0/R/XcZhyNbXebQUBGNmpv2pF61F/SaPKdaWMl35EdeMZ4mI4c1w+oIJJaFIK2QWXFjTb4HwNOKRNEEoMCDByLcOpzXhj4vOvT7HOyNb7jWqsZcA4HgyN/cB+UGDK0cwpncq/4vkNjpI7rCkkNBkFQ8JgKakIzEt9w8kKaVDb+bT6vDNw5TwinKeeTmWnWjoqbHbCMJMGFjtlmBzscEHUwomOPA8Eqe75cFjf92UAsdsZgSX5WTsAvb2ApEQMp9o3x50g4NxF2hZPK3Mx4STS2/2F7BHMISQGi1qUhx3bLtg58fpOfh8wa+bdlO98XqFyo/1fkSbZhEUDeXF7yxWYL3+48mGARQp0ora5M3nnw81HZbwB1MuVobFp97hzXwce2IrsDe2HwQ/bjfkT/l2O7dkt5pXAmd4nrOwSAEgguEU4KBNxJ6Hj9+4Ie3JEgiM35Tl7onJhp8jbab2edJrg32yMR6fYhgKGTR4ECo26dB30PrsPIiP0oCNxGKAwlkB0LJwVLCB2VF3atQlXLjEDK6RvbtsLZDyCk/jJokO/eqgVtI1vrQIl0t6CKgN3Yb28T2Ielcg7UkZ1xfuSbDSkX2jbq7rZFqntd4diEBfagbbgTG/9vqxHGTj22/ezbUbcfSrl44EL14kHMS4kn7HMknIgFznGaOtjx9nn4v0dagF9DAa7g/EcQTm54NhjPggD5go3nCrh+wSzoDul9p2YBaLidr+poeEU4b0XyagItAqQqGwc6XdYoaGE7bmxRnQ9pSzBA3fY6cZqDwNffTFJto7cVDgLOFUTCKQFQZjcrfadLD4LCf1vbjmac1wD/e7aGH1E+KpfyWWcD9MnOLkjTBtyB/wCCtEqnWUZGW+LtR/2novsPDTYgjKV91+VbbVPv5rNLQfs0A4vGPvA56hK2Y9ThTNwrbcoD9hsOPIDnx3XuWzhL0EIDGRsjom9QN0POOf9grwMHldL56v8v3ehvYOg7r+NzndCYT/ii+L89B8FKAntzbIOTF9KyQqmD3lbO8j3c3qa9j7KlQ0Zi510HtIG3uWEqDDjXEYmGrm8/c4uJhNimGQsn2ZAHunsw7sAAqBPFlvY6Z6GUgWej23avTe6i2lKEt9k3Ek6TDvLvzgeos9gmtB8dA5vxYIbaCOxgf4i6me2hHyJu3igOIzDzk5kybCg2gG+2MtX2O2zHwWpDCA1EqO+H4oh6H7ZV6acfVjh5Ct8JVBlpTQuX19hvBw382EGT2ECFtEej2DdmWTi3bV6QOsILTH06jeAEx7Cdm7KZtmH8sNFtb9NmfyFd1DPwm7QXtFsKjPiLoMfCr+tXO3SpC6UXB5xr6AM1lccRpbBNliBekbf5lFkI/c/nwE7GhqMZZyMAHl4bU/BNK+X8KjJchnoeBd8tuEc+9/COxbbA56C5Yxr2oPP5O4v/npYMqqr/+3Skbe3XObv9xNYOuUwvK5oCbIuyoNywQTtQQHm4DMvtWOyAm4z8/QNgp0N/Duy8wN0JZ13DRgNBw3eBM9A4Dh1SgqNqwB7cqGsnd9MxjDocyudtj+g6H5WZl25XGtvrsSqc7YwsDpjY3z+ojgBjZyBoH/B9+c6+U4JT0nKF0/gM52/7o06H85o6mbRLoPo86owoM6XRtwstnKWt1nRRd699c34UWA4DxDGNcOLGmzLzscfVYHMUAHshLhjbv5RwisDDNkXAVR+SGRv+p7qUoLwF93LMCLduTpvyaQckXVrwNc2SYxGWuNdvV9R2qNuQd95V7WfrL2gbUu7dxsrHUTsOEB9GdjiAy2TjhQXx40MKpzSiGhhxJxqP1CBITDl2c1x7fosOTCusLiFU0PjNUgKV2T+2gNGnEXeuM6UzXo58G0a+Y580QU3b3xEz2v9tOUh66VicY46CXNSe4NOm4/dtCsHenhs+gM4ChfaNNBFQqW3zdlM+6uBuwKlt7GxwUeAGHM4DZTpqa3TM0cDSFRdg6nYknO3zowYE1kA4pT159bDCheB60B4a4HOnzFGbMbR2acuybSOfurZzQRwUe9S8ETd50NCkQX61aV7SfnT/2oVz97O0ay6b7j+0f38sy6O3M0+kZuPglD9Q3g8onC0zQXIAHHlBgNHwiCjsuGdAY7m2jC/JinDCVnsD9XzpdGyFBFG7f6ZNOMdYYbKYsldQB6SzP8xOgUCnw98lGO0zU8q/mb3R4ImX5+QYrwxbcKV8Dm8WO6rLISgfiQfyWAlMB7QCQeiBruKlZpw9lD/5DCtKTZocF+aFqqtXZbosInS8lM3thHyn6i/XkWmf61M69wtWLOQYtA1ejav7a7qcpgiwXu53bXlr+2nSRV+r8UuWb5t+j7pV21G+sXBKn/XKK/aZKC8d93DC2S/TEeSA8dSbGhQ3xKDx3hxgesJOdBppMGMhuB+mhZNs394N7dQT/ol8F3aWGXuVTqhnLua6ksX3K6WjBRDlRXurx6GMdX8JWui4eAGErrvMSCm4RGXmdqoHTyh/LLJ6SWwdKpsJHBKYqJ+xvRDkB5AtezGUfXIdj4JqXTEK6vtiwkllQEzgGT35hZdqbTtkW1P+VA9e8j8aNLCPDwY7zr4OtAnOFzakNMvMitMo7RL/e+3Ev7tZBmPdIKu2USozPzfq2PK29kN+Jt9y/twWUC/ddtu238UE116U1kGZ2DZHEwzkhXZc+7wLleFjzzhLQ1ONAtP24UjcwMsXh4ZEPnGQsvhLSXBGFAykgXUgyHDnkSA/FoL7YU440Xl6kZLGT/aj+gL8740QObCE/qC0vWWzBsemHDDbvKTToyxYunI6E5Uj6mB8E4oNApyepNUEdwiOPm6jBFEb/BjUE22tzWNp6SoCgtJtR1kgMuIbBvVoaG1aXy8IUIfRcu+edp+Oxu9fChaXvs0AETLVbppALUKzDXR4f/EXx4i+7PCN52O0raN6bEDMy0CiKTPSwXaTr8QF9JFBrKNzx/dAiBBxOi/RfjaQD+xXbYrBk/FNFfLanhzfcRpky63d1T7E/5ON2H5UbmzT/cqC+BO0jR3Ehg8rnCbwIbgUg8jIZNLxaJwTxx6OcjcCkePGQZ3vqBMF58/n//YMfcedkmxug8QkvKx2+GwXAtfRMQiStgNhVqS/79vhk34kjLJ4bUfSHuaPwDawQa0n22mUDovqIFC8NajnYhAWcYvOIV9Q/x72o9nAr8QFYhHbmvxp00PcGPoY5Tzq70gXafRl3cpjtu/7o4HWOlelcwz6xbl+LzfPka1Q79GAwBvIaEp/GZchiOGL3KFwto2SR+QYEaqK1iUNXvbYzjsLDDkrXBihOiMaZzbj4zuN63PPAVJxPOhJkiT52NyVcMpyTh0x0AgGSztqBMGj1SowNCqsy2L+UtcsCyMQiLg34qHtc8IX5DUtvG9PCmeSJI/OnQinXv7CtRasa2sxFBGVC+d2WaX97t5kZPlCQvepXozGtaQZ4YTo+Ren52eMkUhj+/tYrk3hTJLk0bkT4azguoBZfuWZpbmuyTO0gzuspoFwTqQVzTYJuaHB39eihJMEX651yABBlp/1rFNs0afxtqRwJkny6NyZcO7Ic0/2OiZmpiRgmC2evRBtmVomJXG1d4ttzM0WcdEbNwvIreLe9VkIuE4nujnlbUnhTJLk0bkz4YQwyh1n9pql3CTUXvO8guNl1pFoAghetNRL9eFbrXFr9cTNTLhWSsfy7BWCPrX8+7qkcCZJ8ujcmXAaMEvDDUJYqr1qhllnrRBhvrlocH0Ty8SeUPNsWMoVPZu0Q/lF6XtggIA0QQpnkiTJ3XFHwkkCwzfu0IwTD7zyciaJ1ororFCuk0bPeeL64/gh43JtczgbPUkdMNzhq/huEc6lZ3CZX3iA0pyDgcXSqsPRisEMGCi9gJ8VdSmfX8iwVD8AO+HGOW/fAaE9b0iTz7X2Ej+E6R30tXW/K6ivN2+zWULsEMWJDwHbZ+CbacjHmOR8ZFsV7kg4k/fAbcK5fudwdw6Ws00QHD00zUvlvytBgVcQ6H99hzUjghWuPCBPc+OWBFOTDq9kxIMdXLfHcfLyAxoc1lUPHsDVdH4Z1scF5dvuEl+DH/HyrqVjYDlxt3nziFjFEyoeqA4GH0f7Hb8fii0o9Ti/YkW+HrWND0J/c+JJYO/Tg5T3QwpnsoTruyIIDTRTtO+WPBJO71EifmcrrnnXbaWDb985H6TrBFHMUnQwCIMzCepgdi8zZb0tCKZecD8gFC7smxJQlF3qvz4rlgGAV+9RuVpgi+pXmZljAMHvqtX2x//D9CSdekzXFqzfKQ/xu5eWII+1WcGUSzXuJRgX2PcjCSfu5ld2Vfbk5+HVNnn3cNSmokFoANIP03p/pHAmS9ziu5eacbogUNvgyMLpzBT5budAOJsRdF2yXRPO0bPFfK3cC0AQCrL1kXjxjFqVb25ZWgQTP621Bz8EtmoDEQsRvwrtDwQE9ZM86TxtXw7GUjYMPo7EZ9g+Zv1O8ItUuBwye3cp9Rm+wo0pwrnZwYdFBm3IqyPKHrUv3lfuaVCIHWQwsX/fYb/jWBKj/yhtxWVoszLQMWVG2kftzg6s5AfE2+8Y8NbvaAsfabkbtr36k8L5gVn3Xbl2jeBiZo8z10P2oFzA7PYgAPO7L3XHp+DE30/MOPmXKWp+WwBcE04XLBtTGnyDGZWtf7fuBJRfV58yOBjbyCm/tg3StYET+6Pgv4E6qfJsgw7kpwR1OJPZaQYczYwToheLLIsiDQyq8L/Nb/rusIhss/II5OMNLrDdCmARVFV2b6kVdjisnz2GfDZzPZj7pVppsgPA/TsGMcdC/N5I4UyWuMV3dkbhzkKo424jUw7W5hgOiui0EEcjqi4lyJRzloST85CyIOAinX0mYGdkBILXRNCpool67SN3SnPlJpSwLmUfz6Yi+0j5O+HkslPZvFkrpzkjnEogIRhIU9lxz8eeewAC/JnzvLquMFXvEfArCYiZofWgDXrlxPZWJKVMx8Ip2+vAD7Ns1VaVj/SSa3/tfjRIUYPigXDyUxHDQcP7I4UzWaL33d55Oqjz6CWqVigHAY3FEaP02unbfTWAcrA4CKZNQEHA0YF9ww+OshxWBLKKAO8Lyj4R3OV5ZMqrnNvWgWwJm3EZKdCp8xrCegAJqp9xAxIGDPi/HLunFwsnfjTZna1aAaGBRM1TgiTqQP9rccAxmOEhzboN9bfHlHR4Bo59attG8eO+TWYy2t6+MFR7OvsYSgc2ivzGtnYGEtNQvbhOR+nEwgkxa2zPbUi1a6IXTuOLFwb5a7/a7x+NFM5kibHvJCA3y6Rm3x4YYuEcLm1pcarBiAJtd1zd3wR7BDEvQCLIjGavCOo6KJ0QTsobAdAuTaOu3bYqChzQ22DLN7wsBKR6va8Vw0g4Ycuy3+Q7CvwIko2v6Nh91goRJIp9u2M34vZwHhFjnaY8ZqaPGSPLnSPhFXg5knzf2Qf+4vpCGFVb7MB+r/7SNvfVDhmA4nG9oXDCB4N2ggFFt2KikMso/rl6ibYSzzjLMejTbv3eJymcyRJD37FQRZ0DgVEHDi94I0jUwIbOS4HAzj5KgGi+s8BYwUIgUjMSbxajYbH2y44fIm63B0HeFU6Ihlp+VhwFcb4et32XdFaCvuDNXKX8TeBsZtQlEOu6TAinnvGxYOF/PRulQBqLo2NTiL4b3OErOxiwmPT4HCk/C4/jDxe0yYljoxub0HakzaM80ZInGAkn+X67YQfpUJos6EY40d4VoxlfVF6htI9wv0HZdt8u7dVrLx8B2PfqTwrnB2bkOwlI+B8iZTttEcLtuxMoG0T4us7L4gThHAUz5FWCSydklnE5eIZXywAh49ltcM5UfhWp3yi49TNp2NUTkggSHsqjXcKTdLryQxitUDaz9dkZJ9IuM7Qixts5boCtOGUK7WnbkoXSUoOdujyu05YZGso5WBKfBmX3hAjl2MvZDUYa0B68dijCuZ9Lx+EvbKNsIPVRNiF/jWacrc8sji8C2LZUbneAgzJh3+wg5R2RwpksEfrOBl7qUE3H7YIgOqcKzA0IjNThMFsxnR8dHtvi0SwCTQnWNc/hbJMCDPKic+rdl00wYuFBWfRsTwJLFyxwfFNHObY5poClLARubx9DooO8G5u6SNDWt/4f4wRG6z8byKeFswR2/I+gqvwnS4y9TwWnTPAf5dnbZ1AW+JPyl31ke+S3fS/tp5YPS/dkO7Hzmdl8xSk7gM3QfjRBuTt7q+18rZLTksEg26/YRterTbuct31vaX1mCerTILZFH2/S0oO90v/40gvbmAYqtW++c+DLqz8pnB8Y33fU0dTIetvWXJexI3IECkc4OZjRdnTa0vH0/poObjgZd2yiOx8iZoPJKEggSHvBJzjHKa9LIEL7cly7fQQHzOG1Mw+n/E6ZIFLbfhOoNTpw7ndxmuBM58tAKrJ3u/0JM8HQnmgjfXvbl7LlXDvYQaDnwYqdyZvv7k1Gli9/TXb/b89/z/X76fnv6X+vPTRtnsUvbmtD4Sz7+VWkOMb4g9uB6x+yhZOftDWnXowMJv1ywj6YzbaDkVrPmi4fq/2Hwas7OIHfjwYV90cKZ7KE5zsZeVKHo6CJjs1A2DhQUWdwhaIXTnTIZkSK85rAqc6hfaOlKMYJvOjkbZpRIB8RnOPk1xMESJy7LIB9WhzUDpfGnPK7PlKYQK3ZAif8R38hPPxyhZoHfKXswj7ofLeXabumXPL0AntcVhkcNft4MIYyqjx//Yfnv/r9Xy/aOwLC2af17W/tNqrj7z8VsbUE4kvbRTjl3E+//wep288k3PV/4unLf/P9QzaET5ptBPosb9dtlvz0V3+L/8mGf/sPe9nJfqPZOPKWOqGMqg4oI6e3H9tBx/x98csT/+8cc4ekcCZLRMIpjzzYYIhOT50OndR2vKNADXSnLt930XOCv8Wez1ixmUgHo2UaCMgPDyAoB+e4+XlgRoSBBdUHAR1/3dnGCClDM6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代数:
1、多项式、方程与不等式
2、函数与图像
3、数列与数学归纳法
代数部分的题目数量较多,通常在8-12道题左右,这是AIME考试的重点之一。
几何:
1、平面几何
2、立体几何
3、三角学
4、向量
几何部分同样占据较大比重,题目数量与代数部分相近。
计数与排列组合:
包括概率统计学的题目数量相对稳定,通常为2-3道题。
这部分考察的是选手的逻辑推理和统计分析能力。
数论:
素数、整数性质、模运算等
数论题目的数量相对较少,一般为1-3道题,但考察的内容较为深入。
竞赛规则:
AIME考试分为两个类别:I类和II类,分别在不同日期进行。
考试时长为3小时。
参赛者需通过AMC10/12的选拔,成绩达到晋级分数线后方可获得AIME的参赛资格。
综上所述,AIME考试内容涵盖了代数、几何、计数与排列组合、数论等多个数学领域,题目设置严谨且富有挑战性,是数学竞赛中的一项重要赛事。
巩固核心知识点
AIME的大部分考点与AMC12一致,因此在备考过程中,首先要确保AMC12的内容得到巩固和加深。
特别注意几何、数论、组合模块等AIME特有的知识点,这些知识点通常较为复杂,出现在试卷的后5题中。
把握做题节奏
刷题是备考的关键。首先,完成近几年的真题,熟悉考试形式和难度。
确定答题策略:
对于目标分数为7分以上的选手,建议确保前5题的准确率,并在45分钟内完成;对于目标分数为10分以上的选手,则需要确保前10题的正确率,并通过反复练习提高这部分题目的正确率。
在保证前10题的基础上,再准备后面的难题。由于时间限制,要合理安排每道题的时间,不要因为一道难题而耗费过多时间。
针对性训练
根据自己的薄弱环节进行针对性训练。例如,如果代数部分较弱,可以多做一些代数题;如果几何部分需要加强,可以多做一些几何题。
尝试做一些模拟题或练习题,提高自己的解题速度和准确率。
注意心态调整
AIME考试不仅考察数学能力,还考察心态和稳定性。因此,在备考过程中,要注意调整自己的心态,保持冷静和自信。
更多备考技巧和复习资料,扫码获取
![图片](/e/admin-houtai/mpimgs/1718608127_1718608739_1696.png)
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