2)师:输入同样大小的数球,为什么输出时 大小会不同?(由于推导时计算符号(指令)不同,结果就不同了)
3)师:知道了正推的方法后,我们就可以更快的写出较复杂的推导算式。
探究二
先用树状算图表示,再写出算式:
BECnB2KU28GQq4dCNK4nXSnZcEXNsBfJELnBrVIOPlaUk0Sfen7YByK/DJZhL3R2uBCzLg3UzgZ+nAq4uBo0m05O2FWcCaycDiCGDWUCT042zYHDdm+BmttbX6p79ecPoM1HQ1gomEtZcF3Ezo5fCYHl5S4M4mX+eMyUzcf0nA3eN2nLDjZFqlhM+fFxAdLb642lK0RMK2uqFJg3qjZmw/Wg2xahItRZPPAY4uBF5ZDLyxnEoQv1wNXCIBI28EBEFAVM5q4C+7gL/tBlR7gX/sRfX2IJ2IR6OkbDc9f20H8MdtwO+3ACU6EX8gA97JBF5fBhQsomVve+KBTdOBjChgfjiUId0RPXmy277nWwu3cqZC84adf/YXmwhQEKxK+MFJAd8eSnd4THVlSlSlWZmUc2RMZuJubgfcfz/fBe+mdVqdhOVykrA71wF7QzRXwrYEfP36dUQOHQLMGgKkjQfWGWTB+jLEzzOAD1aROEs3Ar/fgpJ5NCbZ6d3AP/YC5XLg6/1A5QHg9bEN2bDsrJyeL9sFXM8FPtvWmBF/uIZWULyVTisujiXRJOALswDZZCBlLDA5BBJ/f7u6xHkTdglPL9etJgK0sTqiItG/WccgPa3Xojyuq/UM3d4xmYmb8/ygrXFTn28DWpWE9bP9rWUdcGuK5kjYnn7A8n37IO/Xg3pCrIiiXg9746le+8pi4M3ltAriV9nA5fU06fZZFgpG6Ou/QSi4uh/4twPArUPA7cPAW+MaJfyzA0DFfuDGPp2Id5CIr26irPqXurLE68tI+ocT6JfA+qnA0vHA7GHICOoJhULhlu/51sSdvQvw8JX29mWeggXZhZk8Lwj4n8zMZo/p7rFVuH/URr3a1pjMhOYNAbdypjrx3bOfViPhq1cFjBhhfBwRh3gStvdEjNABwagc1ZcmzGSTgG2zqO/DiSRajqbPgj9eC1zZBPxhK3BtB6q3BjWK9s1DwJ0jwL+/BNx7GSVpekFHoKTmCFB9CKh4EbixF/jrLuDP24FPdWWJ4jUk+bfSgVdSSf57dSWJFVHAnDAUBwcgYcZ0N3zHty5ow0YYNG/aELGd8d25lu9Oe1qvRUVy34amQc6Ix58KqEgKFK2xT6uQ8M6dFGKLqi2HIxJ25EgiQRBod9yisbQsbWcMZaMFKbQh451MmoxryIK3AX/ZSSWGihdJsHfygNqXgfvHUJKuF7AUBdeOAfdeBmqOAP92ELi5H/j7HprA+8NWyoY/1tWGFRkk/eNJwIG59Mtg5UQgIRw1o/tC2r2ba7/ZWylP67W4lTMZdzb5Wt++bCXqrwi4s8kXt7fPdso63PraGlQu7Wt9vbCd8eQzAVXpgaKeEu3xEpbLqf7LNWDPkLAjAq6pqYG0ZyAwLZTWBq+fSkvHjiTQuuA30ilL/TCbasGfbgE+306TcOX7gKqDJNh7LwNfzkOULjOOytsLfF8APDwJ3D9OGfI3h6lerM+G//QC8LvNJHd9SeK1pbQj78A82u68ejItmZsQDHuPcPJWHl5SoDw+wCEZ6+VbHh+Ah5cUTh3P44dqqBaGNvuXw+NPBdS+6IPyOImoAgY8XMJXr9JGDBawZ0jYoUM5oZ+UCwVihlHj9fVTqS3lS4nA6VSdhFdSycCgFIG/76ZJuOqDwLd5gHoHCsYJEIT+KPjqFUD7KvDDK8D3p4B/ngRqj5Ksqw7QBF6ZQUniNxso09ZLOD+F1gzrJZw6FpgyCIFdWqZPCwAAIABJREFUfFtFRzux0cv4xvROqEqT4NutnVC7n2qqtfsF3M7phK+SJbgxvZNL5Kvn+nUgMBD4+HBpwy8HezJj7WUBd3d2RnlcV9S+tsMl7TUdxWMlLJfzTjhPkrCjAgZ0fYgnRJCE0yOpDms4KffWcuoJ8ZG+HryNVjio9pCEbx0C7r4E/GcuSThiIaofnwGeFAI/ngHqTlE2rD5GJYuqgyThv+0GPt/RKOEPs4H39EvVUigT3xlLndt0Eg7vEeDyJkhticcP1agrU+LBxULUnpPjVs5U/GqFHAu7FWJMFyXePeO6X2gqFbX2EATAx4faejy8pEBFSn+UjaEWlVVp1F/43p52qEqT4OY8avJ+M6EX7r93TPT2lYZ4nISvXaNNGJcu8SScp0i4OQIGgKKiIqROfr5VSDiyZ3eLjYsY22i11IZDvyBBL0dnU1NDTez0X0cqbdrArr62BnVlStx/Px9qRR7qypSiLD2zF4+S8LVrtAPuyBEWsKdIuLkCBqjPcPTIEU4oRxwDvssn6T5yTTlC+qy/XYeZMpbRaKi1sl6QEolzG89pNEBoqPHrV3quW+3GoySsUDh+IjKH6yTcEgEDTp6Ye3Ac+K+TNCH336d4Ys5DMc1UAwOd02pZqzUWvI8P1YXbAh4j4eho2oghtoy8NUwl3FIBA9S4x+eZZ1q+RE0R0bBmOOpgLvDPEyRltXOWqKnH9kOgxN8539SMUc1WXzKwtCHxab0WdWVK1JUpLR59pNUCMTGuL3WIhUdI+OpV3gUndhhK2BkC1iPp0gWa8cEOb9bA33YDX+0DKl9EyWKDDmpj5qL6P46SfP/9JRJwCzdrqIYEInzgAKfcL0MolSRLvTgjI0mmQOOpzaopHfH3SJo4q0qToDzWF2Vj6OQNw6bvGRnGG+Da2uZGj5Cw2ALiaJSwMwUMABlLl0LR9zlq5G73tuVtlM3qyxKvj2nMhPduIfHePkwTd1Ut3LYcMwzybv6Q79njtHtmiOJiY3kuSqo3OrXZUr/iuvN0+kZFSn/8XvE3I5nn5Yl9V86HJczRIGFnCxjQLVOLGg/MHto4ObcrlmRoqYHPp1uopqsX8Y29wE05yfZfDzRGxX6aiNM38PlC18Dnd7oGPsUWGvhsn0X14EW65WkjRvDyNBeRn6+rDff4P/x6cToe5Nu/BfrRRwKqlnXFh6dvQCKhI/3aIqJLuFs3nybnpXG4PwRBcLqAAaoLS7p0gTZqAJAyhkoS+laWxxZSr983l1MvYX0ryysmIv7rLlox8Y+9JOSv9tF//7GXJP1XgwxYX4bQ14L1WfCpRdRA3rAUkRCOmuG9IO3Xz+n3zTRy8vj/4g8Zifj+nWeava244tOvxb4NlyGqhLVabZNTgznECVeukU1duBBFIT2oJLE8Ctg4rTEbPpkCFOpO1TifBfzKQMS/30w9gj/fTpL9cicJVx9f7qTH/7ydasm/29wo4F/KaG3wG2ay4LVTgCVUisjrG4DcHTtcdu+Mnc3YrUSdE05o9mR4XQ7jclQqFcJDBgJTBukau0+kbHjfHFozXLAIOLcUeHu5sYhLNtBZcp9uIcl+to2y4z9vp/9+to0e//0WqgH/xkTAb6XT5N+JZBL+rlhg0zTKgueHQzuuH6R9+/J2ZRdze3scvnvNQKymrSbNxdbG659+IeDG9M4escXYFbCEGbeQnZWFwv6BQMxwmhBbG01rdeVzdZs3DET8fhZwYTXVdH+tk/HVjTRp90kOZbz6f1/ZSPK9tI7WG39gIuD8FCpD7Ikn8a+eRM3cp4Uit08g8o4cEfutafOUxwc0uwObPqrSJKgrU4p9Ky6BJcy4BbVaDWmvXtBOHkIHdKZPoEm6HbNpydrRhY0nLr+1nERatBK4KAOKsynDvbSOVlDo45Lu2PsPsyn7PZ9FNeA30umAT72A982hpXFrpgDLIoG4MKjDgyDt1w9a/bopxmU0yYQdDM6EGcZJ5OfnIydhLjA5BFg4CljxPLBhGrAjhkT8UiKJ88wSmkx7azlJ9f0soGgVZbkXZDSBd0FGHxetouffyQTeTAfOLaPJvhPJdKacXsBro4HldMoynh+IhO7dUfzhh2K/JV4B14StwxJm3Ep2ViYKQ/oA00NptURWFJ2+vD0G2DeXxHk8GTiVSjI+t4wy27cygLdXULyT2fjvtzLoRGW9fAsW0cnKhxKA3fEGAo4EFoQD0YOQG9yXyxBu5Gm9Frc2TmjW6oinXwioXPyc6D1/XQlLmHErWq0WMdOmQjmsDzBzKPVuyJgArIsGts0EdsfStuK8RFrRkJ9CO93OLqEoXNoY+sdOL6JVFkcXksT3z6Ht0VtmANmTjQRcNKQfUhctEvtt8Dqe1GlQtSLU9gnOBlF/RUB1VgC+//PHYg/fpbCEGbej0WgQOWY0ikdIgejBwIJRVCNePZlWL2yfRRNpL86ljmd5C0iwx5MoTiY3/vvoQmoIdGg+yXd3HMl8w1RahbF0PDAnDJgcgsJhwYiZPZvrwCLxpE6DWzlTUZHoj+/fti5f/YkcbXUyzhCWMCMKWq0WCfHxyB/YB5g0kES5aCwtH1s7BciZAbwwE8iNAfbEAfviSbIH5jXG/jn0+O44muDbNpM2YqyeTP2Lk0bTaoyI/sjp3wfZ2dli3zYD4FGVCtVrI40asFelSVCZKqHHXHgihyfCEmZEJWf9eiT0CoR6ynBg2mBgfjiwJALIfB5YNYnKFJumA5tnUHlh20xa2rZ1Jn28eQawYTqtfFg5EciIAlLGAfEjgMmDUDklDNHduiE/P1/sW2XMUF9bY7Q82Bvx0ttmPIni4mJIg4KQE9wHmpmjgJlDgLlhQPJoIG081XQzo0iyqyZSprtyIsWKKMp6F0cAiaNIvtNDoZ4xFhn9ghAaGgqlUin2LTJWYAkzjAeg1WqRn58PaZ8gZA/oA+W4QUBkf2DGEBLr/JFAwkha2rZwNAl3/kiK2OHUs3h8MIrHDUZGiBRSqRSKttbzsI3CEmYYD0Kj0aCwsBDREydC0qEDMnoFIL+3BMrQQCiH9IRmwgAgejDU46T0WGgg8gL9kBoYAJ927ZCQkACFQsGTb60IljDDeCgajQYKhQI5a9cieuxoRI8dDUnnThAEAYHPSuixMaOR+8ILKCoqYvG2UljCDMMwIsISZhiGERGWMMMwjBupr61B7Tk5qtdGoiKlv5GEy8YIqFwWils5U6FW5OHxw7bfZpQlzDCMW9Af8Fke64va/QK+f5uOMDLdMffDBQGaNwTc29MO5bF++PZQusWTmNsCLGGGYVzK03ot7uxd0HDAp6MNfB6cpJ11d49min0rLoElzDCMy3hSp8GtjRPw8BX7D/i0FPePdkT1mgg8rW9bq2BYwgzDuIyqrPBmtbC0FJo32+NWzmSxb8upsIQZhnEJtYVbUXvApJl7mACzZ8oZXpNo8PippiL+dlsXPPjlabFvz2mwhBmGcTpP67Uoj+uKx58aCLTYgoATLQhYH8XGEn78qYAbM/zEvkWnwRJmGMbpfHe1CLfX+hlnsaeaChWJBtlusWB0yrIlCaOsbR38yRJmGMbpqBV5uLenne06b5iFx/VZc6L557/d2gkPLhaKfZtOgSXMMIzTuXd6G9SHbAj4lEnma64kYUHCd3M74P77baNHNEuYYRinY9cJy4nmSw0NgtaL2Iyob8n8oVEWi32bToElzDCM03n8UI3yWD88/aIZpQhTEZtkw0+/EHBjemc8qdOIfZtOgSXMMIxLuJUz1fLpypZKEaZhRsL3j7bD3WOrxL49p8ESZhjGJTx+qEZFUqDxMjXDLNjcSgnDtcH6yTmDa7SXBVQk921Tu+ZYwgzDuIxHVSpULu6B+ismKx/MlSK2Csbrg02uqb8ioGq5tM0182EJMwzjUrQ1lbiZEIi7Ozubz4ptRP0VAXd3dsbNhMA2J2CAJcwwjBt4Wq/F/feOoTyuK+7u7AztZdvyffSRgDubfFEeH4D77x1rUyUIQ1jCDMO4Db2Mbyb0QtkYATfn+aEqTYJ7e9rhbm4HVKVJUB7ri7IxAipS+uPhJYXYQ3Y5LGGGYURDW1OJujIl1Io83H8/H3VlyjZZcrAGS5hhGEZEWMIMwzAiwhJmGIYREZYwwzCMiLCEGYZhRIQlzDAMIyIsYYZhGBFhCTMMw4gIS5hhGEZEWMIMwzAiwhJmGIYREZYwwzCMiLCEGYZhRIQlzDAMIyIsYYZhGBFhCTMMw4gIS5hhGEZEWMIMwzAiwhJmGIYREZYwwzCMiLCEGYZhRIQlzDAMIyIsYYZhGBFhCTMMw4gIS5hhGEZEWMIMwzAiwhJmGIYREZYwwzCMiLCEGYZhRIQlzDAMIyIsYYZhGBFhCTMMw4gIS5hhGEZEWMIMwzAiwhJmGIYREZYwwzCMiLQKCQsChSfTGsbIMIzn4fHasCY3/XOm15g+7gxB2vNaLf06jo7V3vfGmTj6mq74f8EwbQmP/nFwRHiGHzv7B93a17J1bXO+jq3PtyU0R96L5krVVdczjLfh0T8enipha1/DndKxNK65c1v2GrauZQkzjPPw2B+Plvywu6oUYe/43CUeaxK29/7tHasgAK+/bn/px1owDNOIx/5ItKQ2au/H9srC2ue3ZOwtFZe1Xw7OLp9YkrA9n2fvWBjGG/HYH4eWSLglr2XrNQQBuHTJ8zNhS9c1R/rmPt+ZY2YYb8ZjfxwczSad8VqO0FolbM9rWLrGnKgdzeBZwgxjjEf/ODQ3w3XHn8CukIyt8oM9X8sVEnbm9SxhhjHGo38cHJGHtT+ZnVmOcHRczfkaLS3DOHL/LGGGEReP/3GwJRpLf/7a+rO4JWPxlDKEPXXc5v41Yc/Xbe54GYZppFX8SLSGH97WMEaGYTwP1gbDMIyIsIQZhmFEhCXMMAwjIixhhmEYEWEJMwzDiAhLmGEYRkRYwgzDMCLCEmYYhhERljDDMIyIsIQZhmFEhCXMMAwjIixhhmEYEWEJMwzDiAhLmGEYRkRYwgzDMCLCEmYYhhERljDDMIyIsIQZhmFEhCXMMAwjIixhhmEYEWEJMwzDiAhLmGEYRkRYwgzDMCLCEmYYhhERljDDMIyIsIQZhmFEhCXMMAwjIixhhmEYEWEJMwzDiAhLmGEYRkRYwgzDMCLCEmYYhhERljDDMIyIsIQZhmFEhCXMMAwjIixhhmEYEWEJMwzDiAhLmGEYRkRYwgzDMCLCEnYyarUaSqXSKCorK8UbUGUloFTaFxqNWKNkGK+FJdxCVCoVcrdvR2hwfwiCgMCuzyJ6+FCjCO0TRM8FPIfslStRXFzsvgG2bw9IJLajUycgPd1942IYBgBLuFlotVrI9+yBtHcvhAf3R560OyrH9AOmhwIzhwAxw4C44RQxw+ix6aFQRwajsF8AEsaNhqRLF2QsXQK1Wu3awQqC/ZGU5NqxMAzTBJawg+SfOAFpr56QDwxCTYSUJDs/HEgeCyyOANIiKZZPoNB/vDgCSBkLJIwCYoZB8/xAKIK7QxrYAznr1kHjqlLA/2/v3OOaOrO9v2dqK94gtWhRUUFF8YbUCyJVwDsXUURAVAQEiYg3KlRRq6HeqKKCtkrttKZjW5laRyxjQaczzYyn1XaGacZi4eVAjR3lxHHwpIdXT4qvzO/9YyUkgSQkIfc8389nfarZm2TvXfyyWM/zrIdJmMGwa5iEDUQsFsN/5AjkjPSGNMgXiJ5IUk0OBtaEAPxQYMNsYNNsYPMcYIsiNs+h1zbMBtaF0rmrg4Hl04DoiZC/PArFIwfBZ9AglJWVmf/CmYQZDLuGSdgAqi5fRvjECagLm0glhmWTSaT8WcDGOUDOPODVhcCOSGBnFLA7WjN2RtGxVxfSuZvmkJBXzwDipwDREyGbPR5JwVMh2LHDvBfPJMxg2DVMwl1QfOQIIoYOhmzGCColJAcDa2cCG2cDuQuAHVHAnmhg72LgQCxQuBQ4tBQ4vIzi0FJ67UAsnbNHIeW8BSTjzJkk9KUvAWGjIfAZjNiICMjlcvPcAJMwg2HXMAnroXDvXmSNGgbMHQvEvUQ13vXhwCvzgPwIQBBDcj28DDgSD5QkAieWA28mAW+toHgziV4rSaRzDi8DDsYCBTGUHW+dD2SH03svmwzMG4vyib6IXbDAPCJmEmYw7BomYR2UX7iAWJ+hJOCEKVTL3TibMtjd0cC+JcDheKB4Ocn21CrgndXAuynAmVTNeDeFjp1aReeWLAeK4oH9scDuRVSm2DgbSA+hOvP8cSj1H46stLTu3wiTMINh1zAJa0EsFiN4+FDIXx4FxE0G0l+mAbbtC4GCRVReOJoAvLkCeDsZeC8FeD8N+DAdOLcWKFsL/CaTomwtvfZhOp3zXgpwOplkfCyR3qsgBtgeQQN5GS9TnThsNHLGjEBxcXH3boZJmMGwa5iEOyCVShEcMBGSBZOB2EAqE2ycTQJ+PQY4FAcUJwKnVlKG++s1wEcZwMd84JN1wMX1QHk2cEkR5dn02ifr6JyPMoCza0jGpasoKz4UR/Xi/IU0kyIthGrEi6YifMI4iEQi02+ISZjBsGuYhDuQs3Ejisf7AIsm0oBZdjjw6gLKVg/FUX23dBVwJgX4UCHf32YBn2YDlzcCVZuBKx2iajMd+zSbzj2vkLEwFXh7FXAiCTgcR5LftgDYEA6kzABiJkEc5IfAsWNNvyEmYQbDrmESVkMqlcLH0xPyUD+qA/Nn0cDZnmgqG5QkkjTfTyWJfrKOst3LG0m2n+cAX2wFRLnAnxQhyqXXPs+hc5QyvrAOOJdBJYq3k+m931gKCKKB3Pk0hS1xKjDHH7Ejh5u+1JlJmMGwa5iE1aAs2Jey4JQZVBrYEUkzII4lKDLgVJLnhSzg0w1A1Rbg81dItv/xKvDVduBGvmZ8tZ2OiXLp3CtbgIoNlBWfWwucSaP3PpZAMyd2RlENOjUEWBwA8fTRpmfDTMIMhl3DJKxAJpOB17s3MGcMsHwqZaJ5C4CCxTST4a0VVMdVZsAVG0imf9wKXHsVuL4d+MtOoHoX8O1rmlG9i45d307nfrGVvvZ3G0jmH60F3ksFTq6gaWyvL6YZE1lhQNI0YN5YRPgOQ1VVlfE3xiTMYNg1TMIKhEIh0iaNpeXIqTMoE90VpShDLKcZDWfXUD3302yq8/5xK/Af24Cv84G/7QJu7gZqBMD3BUCtIr4voNdu7qZzvs4HvtymEnHFBuD8OuBsOvBOMnB8OZUlXosGtsylQbpFARDOCECaKVPWmIQZDLuGSVhBbFQkyqeNpkUZa1+mumzBIuDIMspQz6RQGeJiFvDZRuAPOUBRADiOAxeXBHy3B6h9HfjPfUDjfuCHAxSN+4H/TAGf4+hcRYRsXgv88RWgchPNnji3lj7j1ArgaDwNBOYtoBV1yyZDOicAXv37G39jTMIMhl3DJAxqTcnr0wfysNH0639WGE1J27+E6rRvrwJ+nUZZcMF4DZlyHAcufiVQ9zrQsB+QHAT+8QZwVxHXFiFEKd6dW4CalSohxywDfq/MhvnA2TTg9CqaArd/Ca3KWx9OHdjmjkW41wDjp6sxCTMYdg2TMACRSITwUb7AgnFA8nTq6bArkkoRx5cD764GPkqngTRlFvxlvEqmicmU8d4pBJoOAdIi4J9HgH/mo2Sq4pzJi9DQuJ9kfWqyQuBDUHL2FeCzTfTeH6UD762maXBvLKVyyOY5QEowEDEe+UP6o7Cw0LibYxJmMOwaJmEAZWVlSJroTx3SUmcAOXNpafKhZbQq7kwqrXwrX0/TzERbget8lAQoBLs8BbhzkAT84AjQfAyQlQDnQ9qzZf4Hh+ichn3ArU2qr10UR7Xh8mzgN2tp7vBbK6jHxO5F1KdiTQiwaCJKfV5A1ppU426OSZjBsGuYhAEUFxcjZ+pEYFEADYS9Mg8QLAKKlgEnVwLCNODjTJqS9vstwJ/zgK/XqUSalEoliPtFwMNjwP8cBx69iYZDvgoJz0Dl/SIqT/xwAKh9HZXxynJGACp/n0Pv/XEmzRs+tZJq0QUxNE85/WVg8SSU+3shdv5c426OSZjBsGuYhAHk5+ej8OXJwOJJJLyt8xSDcvEkxPcV9eAKhYSv5QHfqEl4RRpw7xDw4CjwUwnw+E2gtQAlwYrjQUvR8OAoZcqSg8D/2YuGbd6qksT7OUDFRvqMX6cBpStpcO71GBogXDsTiA3EjUneCJ4w3ribYxJmMOwaJmEAaWlpEM5/GVgyiRroKCV81EgJ/+soZcH/+xbw/15HyQylhOPQ8C9dEubAP6CQ8CfqEk5QSThzJrA0EJKpw+Hz4kDjbo5JmMGwa5iEAQgEAgimTwIWB1D99ZV5qulpSgl/nKmS8J87SjgVuKuoB8tKgEdvAvJs1cDdtKVoeHCERH37AA3OnZzcQcIbgPOZKgkfUcuEM+gHhGjiEIRPnWzczTEJMxh2DZMwgNLSUmRNnkDLldNCaGBuTzQNjp1cQYNlv8mkRRpXt1BPiBtqA3NJKaqasHJQriVLTcKxaLhfROf8sJ8WcbylJuF96jXhVJorXLSM6tJb51GJJCYAZX4DkbR4kXE3xyTMYNg1TMIAysvLETtuNBA5gXpGbJkLvBZFXdPeTKLlymVraVFF1WZa7fZVpubsiNsHKRu+X0S14Yc7UTJNcXzqYjTcPUTn1O8DbgnQkKtWjti7BbiYTZ9xJgV4S9FVbXc0/UBICwGiJ6J4WH/kbMg27uaYhBkMu4ZJGMCNGzcQ7DMMmDcOWDWddkbeGQkcXEo7Z7yzGvggnTqfXd5IHdGurUXJRIVkE5JppdztgzQDoukwIN2umiM8ZREabiump31fAPx9Nxq2DlFIeBBKfrWJekh8mA78ajUtky5UzBPeOIf2tVswHvmDn2fzhBkMJ4NJGLRizut5HmQhI6l9JH8WNdDZu5gGyEpXUV34N5nUurJqM/BFOkomqK2Y+76AstwfDtB84B8L0SAYrhDtNFTW76MyxM09wF93ojJWOUVtAiovbQB+w1e0tVR0U9u7GNgWQY2Elk8DwscgeMALuHHjhnE3xyTMYNg1TMIK0lJSIJwZSDMk0l+mwbk9i6gu/OYK2kXjowxa2XZ5I/D7NJSMV4g0bjnw993ALQENutXvpcz43amqkkOpgM6p3gncWKcSeEQM8Nv1ik5qKbRQo70ePB/IoOlpkugQ+AwdqvsGZDJAIOgcxkh43LjOX29qH2MGg2EQTMIKysrKkDR+DBAxnn793zAbyI+kzTiPJWpmwxfXA5dTUDJOIdLYBOAvO6ht5d93UzOfmj1AzUaUBCrOCViAhr/soHaWhxWNfzgvlJzKVmTBaygLLk6k/sU7IqkUsToYiJqI0qnjkJWVpfsGZDIgIAB45hnjxKsvfvlL4ORJ6/1PYDBcECZhBdTEpzfkISNp6/m1M2lmwp5FwBtxwPEkqteeXUMiLp3Z3piH4wJQ+eU2auD+zQ7KdpVRPl/VwGdzJvCnuPZZEyFrV9H2SGfTgV+l0DZHh+IoC86dD2TOAuInA6F+CB/m3XXzHrkcWLwY6Nev+wL29ATOn7fKs2cwXBmXl7BcLodIJIJIJEL8smV4Y+JIYOF4YGUQkB1G3dT2LlYsYV4BbPFrLzF0jkEoKXuV+gV/pYgvtwHX4ju3skxfRQtAPsygUsfJFTQved9i6p62IZwGCSMn4JvgsfAbMaL9OruKpiVL8MTd3WQBP+Hx8LeTJw3+PHPFzZs3bf3twGBYHZeWsFwuR2TkRAQFuSMoyB0vvdQPXm7PQDrNF1j2EtVjc+bRTIkDscCxeNUuy2fXUBnh4npaaFG5ieYQ/+EV6hOsHn94hY5VbqJzy9dTBvxBOtWBTykG4w7EUve2V+YBaxVZ8Cw/TOz9LPz9e7dfpyFx2McND5/9hdECbur5SyyZ1NeozzJHDB3aEx4evWz9LcFgWB2XlbBSwKdPj0Bt7eT2yN/ujQ3+PMqGVwQBmaE0QPaaYpeNYwmUtb67mra7P7eWMtry9TRz4ncbqTWlevxuIx0rX0/nlq1VbXt/aiVQnEDvvTuKyhD8UGAlZcEXAl/E3NkeGtdoaPzj5Aj8P89nDZLvv5/9BX7264X6byaZ9Fndif37hyA4+BcYPLivrb8tGAyr45IS1iXg2trJEIsD8cwvONxcOJwWb6wMArIU+83tjqKNOI/E0yKO08nU5vLsGtp14zeZtP/chXU0i+K3WfTnT9bRsXMZdK4wlbYyekuxi8bBpbQw49UFwPpQ6mkcNREtkSMx1q8XLl8eZ7Lgbl8ciydDntMr4Laev8Sjme6oEwfaRMDh4b9AcTHHJMxwSVxOwvoErIzPP5+ACS8+B9lLw4CYSdRUfX0YZam7IoH9i2lFW8lyanX5TjJltb9OI8l+mK4ZZ9fQsfdS6NxTK6lZfNEy2kFjVxSQN59q0KkzgCWBQLAv4gf1xJEjvt0WXcPnE/Czrxv+raU80eb+DGRxL1hdvuoC/uADjkmY4bK4lIQNEXBtLfV0eP99P8wc5AbM8iMpJk+nMkHOPBo4EyyiDPZIPAn1RBLJ9e1VJFr1eHsVHTuRROcejafyQ0EMTUV7ZR4tylg9HYgNBMJGo2iEB1KSB5pNePXfTML/TuyNNrdftgv4qUcP3N/ubXMBMwkzXBmXkbChAlaP/O3eWDWyL+TBI2gX5hVBNG1s42zKXHdF0fb0B5bQ1LKj8VTfLU4g2R5frvr70Xg658ASmm3xWhSVHzbNphV6K4OoqfzMUfjVmOcxK8TdIvL7v3M80NbvGTzl9cA/Thr+LCwpYCZhhivjEhI2VsAcx7X/+cD+4Zg7qCdkk7yBqIm0rDklmMS5eQ7VindEUte1ghgS7IElmrF3MR3bE03nvrqAmgStC6Xyw/JpQHQAMM0HG1/siaVLXoDYgvXZf63zwu2LY+1GwEzCDFfG6SVsSgbcMd5/3w9j/Xrhry/7cSXlAAAgAElEQVR7A3PGUMa6fCp1N+OH0pzenLkk11cX0Nxi9VC+njOXzl0XCqx5meS7aBIw1x/3QoYiNMgd+TYqD9hSwEzCDFfGqSVsqoDVM2FlfP75BIwd0wvx3r0hGT8YmONPteKEKbSoIi2EShXrQmk2RXYYRVYovZY5ixrGr5pOXxP7EjDXH7JJ3tjt3RdDBj+Hd94ZZXNR2kLATMIMV8ZpJWyODLhjXLs2EdHRnni2xy+xsm9P1I0bBIT5Ub+JmEnA0pdIsAlTgKRpFMq/L32JzomcAISNhjTAG0eH9MOQQc9hQ/Ygi5YfbB1dCZhJmOHKOKWEuyvgjpnw++/7YdEibwwcyMP27VshkUhQfOwY/EePhs+wocgZ6gWxvxcwYwQQMgIIGw2EKyJsNL02YwTqxg/CkRf6otezz8CtZw8sWdwf39hgcYS9CZhJmOHKOJ2EzZkBi8WBWLfOB7NmTUFZWZnWz5NIJCguLkbgqBHtfSECX/RE+JAX20P5ujfPA0MGeOLIkSMoKyvD+PF++PjjMTYXpa0FzCTMcGWcSsLmErAyE46JGY4DBwqMvg6xWKzRmEYdqVSKiIgIVFVVISsrC0OH9rO5LG0tYCZhhivjNBI2dw145UpfnDxZbLFrjYiIQGZmJtzd++DzzyfYXJq2FDCTMMOVcQoJm1vAHMchIGCURa9ZLBbD09MTO3bkg88fZnNx2lLATMIMV8bhJWyJWRCpqd4oLrZMFqzO+PHj8Yc//AFDh/Z3itkRpgqYSZjhyji0hC0h4NrayeDxeKiqqrL49SclJaGsrAwxMfPw5pu2WUJsDwJmEma4Mg4rYUsJuLZ2Mlas8EZpaanF7yE4OBg3btxAVVUVwsKG2FykthIwkzDDlXFICVtSwLW1VBOOiZln0XuQSqXw8fGBXC4HAAwbNtAhB+jMIWAmYYYr43AStrSAlTF5shdu3LhhsftQliKUHDy43+EG6MwlYCZhhivjUBK2loA5jsM330zCyJHD8Nvf/tbs95CWlgahUKjxulQqdagBOnMKmEmY4co4jIStJWD18PMbiFmzZiErKwsSiaTb91BVVYXg4OBOAlbiKAN05hYwkzDDlXEICVtbwMoVc6tWvYgBAwYgMzMTQ4cORUREhM7ly7qQSCTIz8+Hj48PIiIiIBaLdZ7rCAN0lhAwkzDDlbF7CdsiA1bGN99MQv/+fZGQkAAfHx9wHAd3d3d4eHhg6tSpmD59OgQCAQQCAcrLy1FaWgqBQICsrCyEh4cjODgYPj4+KCwsNDiTtucBOksJmEmY4crYtYRtJWD1LmpxcUO11m+VfSGUEo6NjUVWVhYEAgFKS0shEolMGtiz1wE6SwqYSZjhytithG2ZAatHWdkYTJs23mr3bY8DdJYWMJMww5WxSwnbWsAd+wmPHz9Aby3X3NjTAJ01BMwkzHBl7E7CthawttixYzg2b86y2jOwlwE6awmYSZjhytiVhO1FwB0z4W++mYSBAz3aV7dZg9Gjh+Ly5XEuIWAmYYYrYzcSthcB6wptA3SW5NixI0hLs80AnbUFzCTMcGXsQsL2JmBtuy27ygCdLQTMJMxwZWwuYXsTsL6w9gBdYmIMjhzxdXoBMwkzXBmbSlgmk2HMGC8sWvQ8NmwYZDfBcZzW18PC+iM7m2+15yMSiTBq1ACr3PPq1S/YTMBMwgxXxqYSPnnyJMaMeQ58PucQkZbG4fnn+1l1gM7HZzASEy1/bxxnG/kyCTNcHZtKWCgUYsmSvqiu5uwqOE73sSVL+lp5gK4Iycl9rHLPTMIMhvVhEjYyhEIO06b5W+0ZSaVSeHu74/p1JmEGwxlhEtYhJH3Hx471sOoAXUJCFA4eZBJmMJwRJmETIi+vBzZvzrTacxKJRAgK4jEJM+yG1iYJWqpFuP9RMX76qgqPvrPcLjTODpOwDiHpO379Ogd3dzerDtD5+Q3GhQtMws6MXFKHlmoRmk4L0HRagAcXStFSLcLTFpmtLw1PW2Roens76lb7o3oKh5rIvqhP5uFufk80pPNQl8Sj16M9cXtbFB7XW+83RUeHSdjESEjojdKNMwGOAyq7utMGIIQDONOnt1l6gI5J2DbIROWoTfRF9RQOtxa7oz6Zh6YCDk0FHH7M7Y36ZB7EoT1RPYXDnT3xaG2SWPX6lPKtieKh6XU3PDrPAdW6o/UKh4dvc6iN80BjzmwmYwNgEtYhpK7OOXeOw8SJ3gq56hNxgwHnqJ9eAnAhQIPmy+oDdP/NKd6P4yDPZRJ2RJorhKiJ9kQj3wOPL+kXmzKaT1AGai0Z//Tlp7g5tw+aXnfD02uGXaN6yN4lGf+4L8ni1+rIMAl3I2iArkKPZNUEXNKg7RGoKAlpF6s2CQNAQuQ4NHMcEKe4hnIOcvW/MwnbPU9bZGhYH4Q7W/qi9QoHBKh+oCJAh9DUzylXybj50kmLXefDK2fRmPUi2r427RrVjz0o6YU7ry222LU6OkzCOoRkyHk7dnDg81OgM9vlmyJg3RL+fhEd/+/jqmtQZsX/Vc4kbO88bZGhfo0/fjr7nKbAjusRXJza67makrvzSn+LiPjRdzdQv9qTBNzNa1TG/cO9cPdwutmv1RlgEu5GaA7QdRCxoQJWp13G2iRc2S7pf2xTXcN/BZinLMEkbHkac0Ihe+/ZzhLTJbhyxetxHf6eqzqnPpmHlmqRWa+zJtqTsnQzXaMlr9UZYBLWISRDz01I6I3S0lLFHamJ2FgBA/olXMlvf9/qOaoBOqWEu1uSYBK2LM0VQtzZ0lf7r/K6BHdch+DUznvyBYeaqP5oazXPTB2ZqByNfA+zXqN6jbgxZ7ZZrtOZYBLuZtAAna/qppQZsKEDceoYKOGrvD7tK+jaJRzA4XsmYbulNtFX9wCcLsHl6hAcp3ne7Wx3PLxaZpbrvLMnHs0nzH+NqObQ9jWHb4N7mOU6nQkmYR1CMub89hV07SWISuNmRCgxUMJ/mxsPgYBJ2FF42iKDOLSn7pkE3RRc8wmavmYO6lb7a5+GZgYJo5oGFK09zc7eYRI2Q+zYweE9f6WAlfY0cmoaYLCEHx67gcBAnqaEWTnCbnn03Q3UJfGMl7CBv+q3nONQnxFolmttyA7GT++b/xqVcXNubzxplprlWp0FJmEdQjLm/PpY+sZrK7rV4Q6NFLGBA3OoBCZO9MW5c2xgzhGQS+pwa7G78RI2cNDLnLXWH/en4MEx818jqjk8vcZBHNbLLNfpTDAJdzN+iKNvuqZAN7UBOnVMmSusfYqa+owLWkHnxqaoOQjfBvfQnPJliOCqOc3pX8rzOkz/kh7ogXsncsxynY/rxaiNM2JgzsBrRDWH+4d74G6R9XquOApMwjqEZMh53+eqstBOA3QaKEWsQ65KuhrUayihY/xKyGQyDHjhOfwvW6zhEOjMMNUXOSjjuJ5ztMjt1mJ3yCV1ZrvW+oxAtJwz7zW2fc2hdll/s16ns8AkbMYwucVlp8UaytDWa6JS45x/LTTfDx4mYcvR2iRBbfwAk5b/6ovmN5/Fnd1LzXqtT5qlqI0f1HmucDfi9obn8fDKWbNep7PAJKxDSKZ8nWoFnXW4cUM1QMckbP/IvjiPRn5/3WUJI+PxJQ51yX5mmyOsjlxSh/pUH4P7WuiKp9dIwJZcYu3oMAmbMa5f5zBgQB/IZNZrPagcoGMSdgyaL51EQ4aWFWlGxv64HOROOWrRNpcfnHqAlNHvGdVkSF2+Ta+7oSaKxzLgLmAS1iEkU782ObkPjh0rstozNFeLSyZh69FSLUJNtCfubOlrtNyaT3BY7fNWe0XKUtsdVlUBbm6KiQ9z7kK8zB+NfA88fJumxGnL5h9fomN383tS68u3t9tFL2R7h0nYzKF/gM78yGQyDBjQp9t70DEJW5/mCiFqE33RyPdAUwHXLjil1J58QX+//wb1F66J7Iv6nSsQOkPeLmE3NxKmORGLAR5PNfTg7w/IZLSk+fa2KNRnBOLb4B74NrgH6pN5qInsi+opHGoTfVGfEYj7HxUz+RoBk7AOIXXn6wMDebhxw3rbvaSkqFbQMQk7HjJROZpOC9oFVz2FQ/UUDjfnuaM+IxB3j6xH02lB+0ozmQwIDISGiM215aFEoilgHx96TRttrXK0VIvYCrhuwiRsgRAIOKSkmGcZqSGYY4COSdixkEhIkEpZ8ni6ZWkoUmnn97TifrYuC5OwDiF15+tNHaCTSqUQCASIiIhAYGAgOI6Dm5sbAgMDMXPmTOzZswdlZWVa37e7A3RMwo6HtqxVauKKYG3ZtRV/mXNpmIQtFMYO0BUWFsLb2xsLFy7EjBkzcO3aNQBAW1sbcnNzIRAIEBYWhsmTJ+PcuXNoaWkBAJSVlUEqlaK0tBQJCb2ZhF0MsVg1gMZxJFLlz+jmCiHunchDfUYgaqI9cSt2MOozAtF0WgCZqLz9PeRyIDxcc4q6uevMDN0wCesQUnffw5gBOqFQiJkzZ4LH4yErKwvl5eWQGpjSrFu3Dm5ubkhMTETfvj1NHqBjEnZc1GcycByQtfj79tkX0v00uNd6hYP8Mv25qYBDI98DtYm+kInKIRBoCthSMy4Y2mEStmAYMkD31Vdf4ZtvvoFEIlHs0GE8MpkMhYWFmDp1CnbvdmMSdkHKykigoT7f4LusIQbNQ358iWR8+3gekpLo6wsLbX0nrgeTsA4hmeN99A3QSSQSTJ8+HQ8ePDDrM/3hh3rU1gYyCbsgv15RgKbi/p37Oaj3eVA0nGrvelbN4d4eD0jf3Yny8q4/g2F+mIQtGLoG6CQSCXx8fCC00O99//znHcyb54mKCiZhV0F6Zh/uvebWOeONUxNxnBYpK4Lt/2Y7mIR1CMlc79VxgE4ul8PHx0dH20sdVPK77sDWgT17dmHEiF4G14iZhB0bvdsnKeWrQ8DKlXjm2p2DYRxMwhaOjgN0crkc586dM+IpGdGPuAOLFy/AypU9mISdnCfNUtyc21t3/Te3awm3XuFQE+1p61txSZiEdQjJnO/XrRV0yh7COltb6kYmk2Hz5rlMwk5OW6sc4lA37d3ZlALO1V+OeHyJlh0zrA+TsBVCOUBn6LQzDdQbvRu6TZIaT5/K8O23Xc+YYBJ2bDo1Yq9WG5hT32pIy8Acqs27OwfDOJiEdQjJnO93/ToHb293uLu7GyniSiCkQ8P3kBKjn3NjYyyTsJMjE5Wjka9lWyIDgu16YVuYhK0Uy5b1xvPPP2/cAyoJoTqwRjZs3AAdAKSkTO1ygI5J2PF5cP4YfszTs6uzjmhI74+fvvzU1pfvsjAJ6xCSud8zLq4Hpk2bZsTTaQBCFDVgjbowB/CNq0n4+Q3qsq8Ek7Bz0HRqC2rjPCB7t+vs98Exao/Jdr2wLUzCVoiKCg7e3v2Rmppq+MOp5KvJVm2GhAkDdH5+g3DhApOwq/C4XozGnNm4tdgdDek8NBXQFLQHx2jJMvUAdseP+1NYG0o7gElYh5DM+X5BQTyIRCLjHg6/Q9mh42agRkxX69mzBytHuCBySR1++qpK49um6bQALdUiPGk2sd0aw+wwCVs4Nm92w7Ztm4x7MA0lWgbgKk0aoBOLxRgxouvtj5iEnRf1bxuG/cEkbMFM+MIFDhMmDGtvzCOTyQybL9xxWpquMKA0fOrUcWzdatg9Mwk7J0zC9g2TsIXi+nUO06d7aki3rq4OXl5eXTR7r9Rd8zVhgK6xscDgHzxMws4Jk7B9wyRsoUw4K6svdu/O7XTPWVlZSEtL0/1Q+PrqvR0H6PRPV7t796ZBCzWYhJ0bJmH7hknYAiEUcpg5c4LW/sDKBj5lZWWdH4hy8E1fglvJ71CW0J4179iRj3XrPI36wcMk7Jw4goSftsjw01dVaDotwJ098ajPCIQ4rBfqVvujITsYTacFaK4QOuWCEiZhM2fC169zGDeuP+rqdH+zSCSSDiWJjhmutppvZefjOs7dsSMfI0f2Yq0sGQDsW8JPW2Roens7aqJ4GtPpWs5xeHqNw6PzHH56n6bW3dnSF7cWu6MxZzYe1zvPDqRMwmaO9PQ+OHBAYPAz6Czk7pGevgbDhvWBSGT8Dx4mYeegtUmCptMCNGQHozbRF9VTaFHGzbm9UT2FQ91qfzTmzIZUWGizqWptrXLcO5GDmigeml53w9Nrhq/wk73LoTbOA405s50iM2YS1iEkU77u9GkOs2YFGvUMiouLwePxUFhY2G0Z//DDD5g0yd3ke2YSdmxamyS4syceNZF90VRAGaS2HsOPzpPI7r3WwyaLNtpa5WjcPAPSAz1IvuqperkW8eo4LnuXQ92KFx2+GT2TsJni+nUOI0fyIJFIjH4OYrEYSUlJcHNzM7jBj1QqRXl5OdLS0hAREYGff/4Zfn5eRpUgmISdg7ZWOe7sXkpLkE8Y1zdCffny3cPpVrnW+vQA/HT2uc6CVYYuAWs5/vQah/rV/R1axEzCOoRk7NfExnrgzJl3uvU81DNhuVyO4OBghIeHIzw8HBERERrn8Xg8xMbGori4GDKZDKtXL0VBwbPdumcmYcfjacu3+O9BaoIK0CHcAE53ttl+7Bk8XBmEtlbTNpw1hLuH03H/cC9Vr2Nlb+PjWq6vq+OKePIFh9p4L4ddBcgkbIY4cYLD/PnBXd+w+jzfjivetBwTi8UQiUTtoYuqqirMmsXr9g8eJmHHoz4jkLJKpaS0SThO7fXcDiLTcuy/00Itcq1d7gCi/GFgwvH7h3vgblGmRa7b0jAJ6xCSoeeKRBxGjXrBgOFnLbMb2hdb6DumH6lUivHjvXD1avfvmUnYsWgqzUXT3r6amWJHCZcrXo/r8Pdc3ceezOmDB5+cMPv13juRA+mBHrolq34tRh5/8gWHm/PczX7N1oBJuJsRFfU8zp0727WES0JU08iU84GV2bC+Y12QkLAQhYWmlyGYhB2TtlY5aqL648kXnH4JH+e0SzhAz7HxHOotILTGnNm6W2we15HFG3q8murajtgVjklYh5AMOa+w8FkkJCxUPMmuMmE1lKUHbdmuvmMdOHfuLKKinjfbPTMJOw4Pr5bhdrZ7Z9l2FJWy/NBRtJz+Y/+VzDP7YFfdan88Oq8ny9Uj2C6PV3OoS+Lh0Xcm7uVoQ5iETYyrVzmMH++lms1gjIT1bWFv4Pb2UqkUo0a9YPR8YCZh50AqLMS913pYTML/yu2NBxdKzXrNt7dF4eHbWgTascSQa+RxRdyc29shB+eYhHUIqatz9K5e62qJkr7+EHp7R6iYPz8YJ06Y956ZhB2HeyfyIN3PdS1hU8oRARzu5z+H+x8Vm/Wa739YhLs7+mj/IaEeuUYcV4T8ModbsYPNer3WgknYhCgoeBarVy/VvBlDM+GGEt2lBn3H1Dh16gQSE/uZ/QcPk7Dj0FwhxJ0tfbuWsAkDc8jl0Mj3gExUbtZrbmuVQxzqhrav1TJcbYnLcQOPq8XdHX1w/8Mis16vtWAS1iEkXccqKjj4+Xl1bs5jkIQbAL7agFtDpVrZQd8xFRKJBCNH8rrcKcNpJVzJB8dxOn9WVfLpXriQEmP3Q3UonjRLURPprhKaoVPUlOdpm6KmOPbvCxzJ0gLzhZs/fQd3ckzbFVpXPDrPoT59gkXnN1sSJmEjQ+dWRYZIuFOzdr5hx9SYNSsQp09b5gePI0i4oSSEJMvxtTSbqwSfU0jYyM1Q1T4AIYr3MPUtrMWd3UvR/GYPzYUYurJFgxZr0DFLz7m9ezgdTfuM3xVaWzy+xKFu1TCHnBWhhElYh5C0vZ6X1wubNulY2tmVhLXtlqGchqbvmBoHDgiQnt71VkXOK+EGlIToFqQyC+bz9WfL+j9CKWFtkrcvnrbIUJswBK1XzJdVyi9zqE0YZvGssunUFjSk89ByzrTrfPIFlSDqkv0ccjBOHSZhA6PjVkXWpq6uDuPG9Td7GcIhJKyWnWqNkBI0KMoUygy4Xch6TNpQEtK5bKFDwvR+9ifmx/Vi1Kf6mEXEjy9xEATtxD/rfrT4dRcWAuuXS1CfEYj6ZMNlrJRvTVR/3P+wyGFLEOowCesQkvrftW1VZE3kcjmmTvXDuXOWvWe7lbCSDqJVO0BlCA2hqrLmEB2zTbSWNvRK2D5rza1NEtREe+LOlr4myVh+mXr1LvX5BBwHREQAlsw1hELVL3xJScCD639GfUYgvg3ugfpkHu5soS5wsnc5SPdTt7f6ZB6145zn7jTyVcIkbEDo2qrIWuzenYusLMs+J0eQsPbslgTMr1T+V/3cEISEqGfNIRqz/5QSDtF8Ua+E7blO3FwhbJdxyzlONWinJZ5eo1aXjXwP3IodjE8PVGlUw9LSLHONVVWAm5vqc8LDVcJva5WjpVqE5gohmk4L0Jgzm6biCQvRUi1y6LqvPpiEdQhJ+edz5zhMnepnszLEjRs3MH26p8XKEI4jYeWgGx98RWmgRJnJhpSgsiQEISEhUC9RVJaEkDQr+VpLCc4mYSXNFcL2zFIc2rM9u7yd7Y76ZB69HtYLDdnBGtPQios1hyXy8817XTduaAo4MBAw434GDguTsJ7QtlVRXV2dRs9goVAIjuPg7++P8PBw7XvHmYhcLseECcNw4YJ1fvDYs4TbSwf8ShIivxKVJWq1YE53xtvVezqbhNV52iJrzy4fXi1DS7VI76/yOTmaIi4203qNujqAx1O9r48PYELrbaeESVhPJqzcqkgqlaKwsBBeXl7w9/eHUChsvweJRAK5XN7edlK9KbtyZ2VTa8mbNqUjL6+X1e7ZfiWsNvWs06BcCEmTUt722nCJQtQqqXYUs6pmbEzoqi87E7GxmiIu7+aaDYmEpKt8Px6PCVgdJmEdob5VkVgsRlpaGsRi4zYXVJd3eHi4UdsXiUQijBzJA5/P4cgRuh71cC0Ja6KRlSolq03CHIdlK1bgM2MG1JwsEzYFuZxqtUppurkB6lPjW5skuL0tqr3kUT2Fo33soj1RnxGoMXAmkwH+/prvZeQ/I6eHSViHkAYN6oN79+6Z9V4NRS6XY8SIEdiyZQsEAgFiYmZj1qxAjeiYofXs2QNBQTyNiIx0B5/PacTBg52FLhI5gYQ7TFmrLAkBx4Xgy7RFAMdBODCoWxJ2NTrKk8cD/vqn5vY97B6+zXUa/Gu9Qq+pTyFLS9MUcFWVre/M/mAS1hJBQW7o16+fSfvFGUJXGXVaWppR0gZI3Oq7cIhEIpSVlUEgEGhEQkJUJ6F7ePTqJPVJk3gaERzsgaVLufaYN4/DsmUc3nrLlhKuBF9HOUIp4bsBo9ot8D9pakP+ulbG6ZSwqiTiCiUJgEoGXl70+CaNb8VfEiZo38MugOu0XFo5n/e7vBXtWbUZh0ucCibhDpGWxqFPnz6aolQ2WjckDPgHGhsbizR1IahRVVWlsZ+crego9PLy8naRz5w5E56enhg3biyGDRuMLVt6W0nCnWvD/BLdmbAXN63z/x/lc9cl2y4lbNign7MgFgPL41vx9yR/yC/rmPKmRcLKaNrHw+3jeSwD1gOTsFqIRBz8/UfrHkjTWF6s1vNXfX84jutyVwy5XN5pgA+gGnJgYKDBOy7bgrS0NBQWFrb/XS6XY+HC+cjL62M5CauXHJSzIzqUIyg71cyEs7gR2n9QpqUxCRuBzj7ABkgY1RytiHPg3ZAtDZOwWqxcORutra26L7iSr13CnY51nRGLxWJ4eXlpCDcpKcmsU9zMjVAo1JrBy2Qy+PkN71Zpors14Y4SLuFzEHEeun9jiQtiEjaAtlY5bs7rh6fXTJew9EAP3DuRY+tbsVuYhBWxbx+H3//+9/ovWJ+EO27WacAeceoCLisrQ1JSkmkP0grI5XL4+PjozNLz8/OxYoWb3Uj4B5msy9LRnzkOblwGk7AeHn13A3VJHTqeaWu03jHUurg9vsShNtHX1rditzAJK2LkyMH46quv9F+wMRI2Yi6TVCqFv7+/UVPYrE1XPyTEYjH8/QdZTcKBHIcNl+Q6Z0fcXDmqa1FwHKo4Dm4dv15vuJaEW5skqInsqzsLNiATfvg2h9vbomx9K3YLk3A1rYx74YUXNFbGacWYcoQR85siIiJQZecjF7GxsSjvYta+h0c/nD5teQlfyeAg4zi0PtsTCBuJJIWQNVbARUQYPphqUMca18yEAaA20RePL5ku4Ttb+qK5Qmjr27BbmISrqU3ls88+23V/CF0S7oaAZ8+ejejoaJOfoTWQyWTw8tKym0gHYmJikJOjmnNszH+N2t6oqqqzSN3cqCVXWRkglWo2KTCbiF2Th1fO4vaG502SsPwyh7pVvnjaYr+/5dkaJuFqDmVlHHr37t31BXeUbccwYTlVYmIi3nnnna5PVJ+ZYeVVBLoG5DpSXFyMRYvcLZ4Ja6wAMGcwEeuk+dJJ3Hmlv97ObNoEXJ/q47Tdz8wFk7Ai1q3Tvp2QBgaXI7resl5JdHS0AaUI0+vNneY4myDw/Px8jWlpuhCJRJgyxduyEpbLNTvBMBFbjfsfHERNpDvuH+6hV8atV6gEcSt2MBOwATAJV3O4epXD7t3ru75gvaJtAELU/0EbIHUA/v7+XdeiAbVM2HDBa902ieMMWlCijiH1YMBKEtZWimAithpPmqW4W5QJcaibRgP2pgKaD1wb54GaaE9WAzYCl5ewQEA9FS5e9MLPP/+s/4K7ynY7Sq+LrFM5V9giNJRoTpNTz4gNmD6nTmBgoEHNi6wi4awsy0uYibhL1Buwqz+2x/WsO4+xuLSE+XxaJXf9Om1lHxw8Vf8Fm1nCEolE+87N5qCh48WpZepGStjNzc2gpvZ1dXUYMeJFkyQcH/9LbN++puuLUTYzYCK2G9QfGcN4XFLC169TCeLgQU5jx4rx4/uiqKhI9wUbM0/YwHKE9VCTsJEDiJyB/7okEgmGDPG0nIBFIusJmInYYJiEu4dLSvjECWrU0/H1igoOffv21P2rt85Mt2M9WH/dVi6X66LeOCsAABvaSURBVK4DdzUDQ1/odWulQdemDUMlfOPGDQQEDLGMgAHrlSKYiI2CSbh7uJyEFyzg9O5afPAgh/37N2teqBm7qMnlckRERCArK8uCT1YLSrmbsNLAUAkLhUIsWGB4OcIQAau36PyXp6dtJMxErBcm4e7hMhIWiWiHCkO3jf/uuw/Mfr9SqRTh4eEGzbk1L4os2MRtIXg8nkFLqvPz85GY2H0By2QyCIVCJMXEgNenN8J9hyHcdxgEk0ajbMQQiF/wgPyZX9pGxHa8tNxWMAl3D5eQsEhEpQZtJQh9sXt3GLZu3WqWnZZ//vlnFBYWQiAQmPgOpopUUSrpxr48Pj4+BjW4X748ERs2mC5gqVSKrMxM8Hr3QtpoH5SN8IQ8fDQQOQGICQAWBwBLA4G4l4DYQGCaDzD0eaDHM9YTMdsiuBNMwt3DJSQcE0NZsCnynjOnF/r06Y3MzEyj+/zKZDKUl5fj448/xu3bt7vxpLqxWIOv5fyGEqPKEuHh4QbN4ggIGI/9+40XsEwmQ/62V+HzQn+UThsLzPUHFk0Elr0ErAwCUqYDa2YAGS8Da18G+LPoz+kvA2kzgNXTgYH9mIitRGuTBPc/KkbTaQHqMwI1Hk19RiDunciDVFgIucSA+e8M55ZwRQVtwSMSde99zp7lMGnS81izJhXff/89/v3vf6Oqqkpj5wl18vPzER4eDjc3N/j6+iIvL6+bT6rDwJ+hAtVZyzZucE65o4Y+DJmepk3AYrEY/oMHoTBwNOSz/ICYScCKacCaEGDtTCA7DNg8B8iZC7wyD8idB7y6ANg6j/6eMxdYHw707GHd0oQLiri1SdK+x9zd/J5oKqA95ZTNfeSX6e/S/RzuvdYDtxa7ozFntlXmDre1yvHgQimaTgvQkB2MutX+7RuQ3ood3P7D4f5HxXjSbF+bJjithCsqVNPQzPWeV69yiI/3hLf3YAQHB2Py5MmYNWsWwsPDNbLk4uJi7Nu3D5MmBeCNN/ba5uHqHUw0bvpceXk5YmNj9Z4jEAgQH6+7n7A2AZdfvIhg78GQTh0ORE8EEqdQZrs+DNgyD8ibD2yPAHZFAbujAcEi4PXFqhAsoteTtGxjxERsNp62yNrlq3WPOT0he5dDbZwHGnNmW0R+ba1y3P+wCDVR/fFjbm80FXD46X0Oj85zGj0slD8c7ub3RE2kO+4WZdqNjJ1Wwlu3mlaCMFTGGzdyCAvzhodHHwwfPgRhYTMRGjoTAwd6guM4TJgwBGPHcvDxoS5hnp60G3J8/CisXj0H27fnQSQS2fVWRkpkMhl4PJ7ec0aPHolDhwwXcOG+fYgdMQzymX5U310dTGWGzXMo090VDRTEAPuWAAeXAoeWAUXxFEcTVH8+tAyYPMw2EnYBEbc2SVC/xt9o+WqTcd2qYWbtJfHgkxOoieqPuzv64MkXhl9L29cc7h/u0S7jtlbbznpxOgmLRBxGj+5+CcLYrFu5ffzVq7rFffq0apn0iy8+h+HDh2LAgAHgOA7+/v4IDw9HVlaW5VbRdQN9/SP0LVfWJuDio0eRNXo4MHcs1X1TZwDZ4UDufGBnJPB6DIm3aBlwLAE4sRw4uQI4tQI4tRIoXUn/PbUCKEkEej1rOwk7sYifNEtRt2qY/l7CRkTrFfN1VbtXsh4/5vXTLV/1/z/l+mXcuHmGTUXsVBI+d44WYlRUWE/A3YmsrL7w9u4L9Z0bBg70QEDAKI0t6bdvz9PYtr6wsLDTbsiG9HboDmKxGIGBgZ1el8vlCAp6SeuAnDYBV332GSKGDQFmjwESpgDpIcDG2cCrC4E9i4ADscCReOC4Qrynk4F3VwNnUoH30yh+vUb1520LrS9dHx8gPBzIzwcKC2klnwGzRxyN+oxAtJwzj4CV8eg8h/r0Cd2SXlNpLu7t8dD9Odr+n+m5pp/OPoeG9UFmfHLG4TQSvnpVJWFby7U7ceGCKqtWxsaNlD0rY80aKm2ox9ixHui4Fc+wYZ4aMp81KxBbtqzXELpAIOg0yKhrt+n8/Hzk5Kg2bJTJZEhNXY2NG18wSMB1dXUInjgBsuARNM1sTQiwaTawfSFlv28spcz35ArgnWTgTArwwRrgo3SgbC3wm0zgfCbwCZ/++5tMYN5Yy4iWxyPRZmUBAgF1b7PwDzr7oQHy8WrPQteuGfqyTT3Hbme74+FV0za0bakWoT6Zp1uquZxqf7vjeq6vQzTt7Yum0lwzP0fDcAoJX79OJQhdpQBXDfUyiTK2btUUOp/PYdYsHng8HiZNohg3jtdJ6J6e7ggJCYS394t47rlnMXbsGPj5DTdYwHK5HP4jR0ISPhFYPAlICQY2hgPbFpCAD8VRaaF0JfCeQr7nMki4F9cBl9YDn2YDv9ugik+zged7d0+24eG0I4dAQLty2GEpyBbc3haFhxv1SFhfttlFJtpyjkN9RuffqgyhbrW/xqBblxHQdSasLE3cnNvHJjuAOLyEhUIOK1faXniOHsqthnTFW29x2LmTYssWCm1b3OtaiFF89ChyfIcAC8cDq4Jo6tmrC6gEURhH5Ye3VwHCVODDDOBjPnAxC6jIBj7bCFzZDPx+C/D7HODzHPpv0TLDRDvIAxg5AJgxApg5CggfDYT6IXboEIP6JLsiNdGeaN2nQ8L6sk0DMtGn1ziIw3oZfU1ySR1uLXY3rgTCcUCcYef+mNsbDy6UWuBp6sehJSwU0gCcUGh7iTl6dCXh7ixFlsvl8BkyBNLgEUD8ZFpwsXUeTS8rXAoUJ6oE/FEGcGEd8OkG4LNNwL4JnbJyjhuCkrI8YMkk1T/yF92BiUOAZZNpgcfOSMquT60EjiQA+5cAOyKBzbNpGtziSRCPH4zASZOs/43vAHwb3ANtxXoyYfXQl23qOFY9xXj1PLxahtvZRkj4uAHXrhb33+Bw94gBmzuYGYeWcFoa1VBtLTBniO5KWF8viML9+5E/ZhgtPU6ZQXXgHZHA/ljgaCJwahUNvKkLuGozKqMV0l0cD1zfDnydDxx/qV3GqcnxNEj3H9sAUS7w+Ssk7kvZwHk+8EE68KsU4K0VwOF4mvL26gJgfSiwIghYMA6xw1k2rI1bsYMhLzBQwvqyTS3HnnzB4eY8d6OvqblCiDtb+hqXBRt6bjWH5hMc7uyJt8DT1I9DSvjcOQ7h4bYXlzNFdyTcVTc0H+8hkEwdTrMhMmfRVDTBIuDwMuDNFcC7qVSC+GQdUEECRuFEcByHkJx1wF92An/bBYh3A3/fjYZt3goRT0Zl9S46fn078Oc84I9bgUqFiD/mA2fTgXdWAyXLadrba9HAlrlAWgiwJBAiv4EIDw212ve8o/Dj/hQ8yDRAwvqyTR3HHr7N4fa2KKOv6aevqtCQrmdQTj06/lDI7fprmgo4NJ0WmP9hdoHDSVggIAlbcx6wK4SpEu5KwDdu3EDwuLHAgrFA8nRgg1oWrCxD/DoN+DiTxFm1GfjjVlQupmvin9gF/H03UCMAvi8A6vYC70xtz4b5pwR0vHoncCMfuJanyogvrqcZFGdSaMZFUTwNAr66AOCHAolTgVA/8Dw8DOoS50o8rhejNuS5riWsL9vUcaw+mYeWapHR19TWKsfNef3w9FoXQs3lOo8LGCDhuiQeHn2nfWaQJXEoCStH+x1lHrAjhSkSNqQfsGDPHgiGv0g9IdaEUK+H3dFUr31zBfBeKs2C+G0WcHkjDbpdy0DJRGX91xslVwuA/9wLNO4Hbh8AzkxTSfhXe4HaAuDmHoWIt5OIr26hrPoTRVnindUk/QOx9ENg42xg1XRg4XikeQ+CUCi0yve8I3E3fYx+CevLNnUca37zWdzZvdT0ayrKxP3DPfRnwNoGZ4/rOF8Rjy9xqE30NePTMxyHkfDVqxwmTtTcjoiF7SRs6I4Y/iNHoO6lYTRgxp8F5C2gvg9H42k6mjIL/jQbuLIF+FMucH07GnK9VaJ9bz9w5yDwjzeAe4dQmawUdBAqJQeBhv1A7evAzd3AX3cCX24DvlCUJcrXk+TPpABvJpH8dytKEmtCgEUBKB/hidh5c63wHe9YtH2aQQLzfc64bFPHsZ/OPtft1WltrXLUJgyD/LIBJQkDo+1rDrXL+tus65tDSHjHDgpbi8qZwxgJG7MlEcdxtDpu+VSalrYjgrLRkkRakHE2nQbj2rPgPOAvO6jEUPs6CfZOIdB0CLhfhMoUpYB9UHK9CLh3CJAcBP5zH3CrAPj2NRrA+1MuZcOfKmrDwjSS/pF4YG8M/TBYOxOIDYRk8jD4DBxg2W92h6Ljdl0UT/cYkG3qOPY4th8a1geZZXmwXFKHupXeaL1iHgE3Zr2In7781AzPzTTsXsICAdV/WQ3YPiRsjIAlEgl8BnkBc/xpbvDG2TR17GAszQt+N4Wy1ItZVAv+Yivw1TYahKvZA9TvI8HeOwR8sxghisw4pHA38FMJ0HwMuH+EMuQfDlC9WJkN/8erwB9eIbkrSxJvr6IVeXsX03LndaE0ZW7GCBi6hZOr8vBqGWoTfdHI9zC4l0TrFQ53tvRFTbQnmiuEZr2e1iYJbsV6Gd28R12+yiY+thQwYOcSvnqVFmIwAduHhI3alBPKQTl/IGI8NV7fOJvaUr4RB5xIUkh4LZUM1EoR+HYXDcI17AN+LASk21EyjQPH+aLkuzcB+VvAozeBn44D/zoGNB0mWdfvpQG8arWSxGebKNNWSrg4keYMKyWcNBUIGw2vfn0doqOdrZGJylGb6AtxaE/UJ/M02kc2FXD4cVtP1CTycHNub4vIV4lEAvgM/zcu7vqNUZ3Unl7T7KBmD+0s7VbCAgFbCWdPEjZWwICiD/GMIJJwSjDVYdUH5c6kUk+IS8p6cB7NcBC/RhJu3A/cfQP4Zz5JOGgZGp6cBJ6WAj+fBFqOUzYsLaKSRf0+kvDfdgFfbVdJ+GIW8KFyqloiZeI7Iqlzm0LCgS96WrwJkjPxtEWGlmqRRiP1z9YLsHpwMab0E6HiQ8vJTSKhHkocB7i5AZW/a8X9D4twc547qqfQLIeGdB5NOSugXhX1yTx8G9wD4rBediNfJXYn4evXaRFGRQUbhLMXCZsiYAAoKytDUujLDiHh4EEDdTYuYhhGYKCqDOzmZpk2HDKZ5ufweJ37Kj367gZ++qoKTacFaDotwMOrZWipFtm8b7Au7ErC16/TCriDB5mA7UXCpgoYoD7D4ZMmmqEcUQQ8LCbpPrZMOcLneQ+DNjNl6EYmU2WougTZHeRy6rdkadFbG7uSsFBo/I7ILCwn4e4IGDDzwNyDI8B/H6MBuf85zgbm7BSJBPDyUonSx8d8rZYjIjp0yHSS1eZ2I+HwcFqIYWsZuWp0lHB3BQxQ4x63557r/hQ1YVD7nOGQffnAv46SlKXmmaImnTocXjwP83xTMyAWUxaslKW/v/6NR+SSui7LBWlpmgJ2prU1diHhq1fZKjhbh7qEzSFgJbx+/SCbPsLoxRr42y7guz1A3euoXKHWQW1KDBr+6zDJ9x9vkIC7uVhDPNYLgaNGmuV+GURVFZULlNIMDqZyAkDbJt0tykRtoi/thrxYc+CsITsYMpEqzRUINAXcxcbfDoddSNjWAmKhkrA5BQwAaatWQTjsBWrkbvCy5TzKZpVliXemqDLh3VtJvLcP0MBdfTeXLUeMh2CABwSvvWa2e2YQZWWa8kxNeYq7RZmoiXTH/cM9tM43fnqNprs18j1Qm+iLWxU3NLLqrCxb35X5YRJm0S5hcwsYUExTC5kOLBynGpzbGUky1NXA54utVNNVivjmbuCWgGT7f/aqoraABuKUDXy+VjTw+YOigU+5jgY+2xZQPXi5YnraxIlsepqFKC5W1IaH/xt/SovD/cM90Pa1YQsqHl/iUL+6P74891d4edEGKM6IzSU8YIBbp/3SWFg/OI4zu4ABqgvz+vWDPGQkkDiFShLKVpZFy6jX73up1EtY2crySgcR/3UnzZj4+24S8nd76L9/302S/qtaBqwsQyhrwcos+PhyaiCvXoqIDYRkwmD4DB9u9vtmqCguBq6tS8HD0892lm0X+8A9vcahPsULt7+61V7OcDZsKmG5XN5p12AWtglLzpFNWrYMZX4vUkkiNQTYPEeVDR9LBEoVu2qcywB+qybiP75CPYK/2kaS/WYHCVcZ3+yg17/cRrXkP7yiEvAnfJob/K6WLDg7DFhJpYjCYZ7I377dYvfOMKEZe4d4dJ5D3Wp/W9+GxWDzchgWRywWI9BvFBA2WtHYfSZlw3sW0ZzhkuXA6VXA+6maIq7cRHvJfbGVJHstj7LjL7fRf6/l0et/3Eo14M86CPhMCg3+HU0g4e+MBLbMoSx4SSDk04bDZ9gwtlzZwtzZE4/mE6YJWBni0J422YTTGjAJM6xCVkYGSn29gIgJNCCWHU5zdQUxisUbaiL+KAM4v45qur9TyPjqZhq0+zyHMl7ln69sJvlWbKD5xh93EHBxIpUhXosm8a+bRc3c5/gjf6gXCg8etPWjcXpqoj01O56plyB0RYfSRCPfQ2PGhDPBJMywClKpFD6DB0MeOpY26EyZQYN02xfSlLXDy1Q7Lp9JJZGWrQUu8IHyLMpwKzbQDAplVCi2vb+YRdnvuQyqAb+bQht8KgW8ZxFNjVsfBqwOBqICIA30hs/w4ZA7a6HRjmjMmQ3Zu93LhGsi+6K1SWLrW7EITMIMq1FcXIyc2Bgg1A9Y9hKw5mVg0xxgewSJ+I04EufJlTSYdiaVpPpRBlCWSVnueT4N4J3n09/LMun42XTgvRTg9Goa7DuaQHvKKQWcHQ6k0i7LeHkUYgcORPnFi7Z+JC6B3ppwFwNzylkSttr1whowCTOsSlZGOkr9hgJz/Wm2REYI7b68LQLYE0PiPJIAHE8iGZ9eTZntmTTg/TUUZ9NVfz6TRjsqK+Vbspx2Vt4fC+yKVhNwMLA0EAgfjfwRw1gZwoq0tcrRsH4qWs7pyHQDOJ17wNlD03VLwyTMsCpyuRwRc2ZDNH4oMH8c9W5ImwFsCAfy5gO7ImlZcWEczWgoTqSVbqdWUpSuUoXytRPLaZbF4WUk8YJFtDx66zwgK1RDwGVjhyNp+XJbPwaX42mLDPVr/HWLWEs8vcbhziv90XzppK0v36IwCTOsjkwmQ/CUySif6AOEjwGWvkQ14nWhNHth2wIaSHs9hjqeFS4lwR6JpziWoPrz4WXUEGj/EpLvriiS+abZNAtj1XRgUQAQ6ofS8SMQsXAhqwPbiNYmCeozAlGXxNNbI37yBYe7O/qgJorn9AIGmIQZNkIulyM2OhrFo4YCs0aRKJdPpelj2WFAzjzg1flAfgTwWhSwJ5oku3exKgoW0eu7omiAL28+LcRYF0r9i+Mn02yMIF/k+A5FljOueXVAHn13A405s1E9hQbc6pN5qE/moS6Jh+opHG7Oc8f9D4ucdkpaR5iEGTYlZ+NGxA72gjRsAjBnDLAkEFgZBKS/DGTOojLFlrnAK/OovJA3n6a25c6nv78yD9g0l2Y+rJ0JpIUAidOA6IlA6GjUhQUgfMAAFBcX2/pWGVpobZJozExzRVz0thn2RHl5OXy8vZEzYihk818C5o8FYgKAhMlA8nSq6aaHkGQzZ1Kmu3YmxZoQynpXBAFxL5F85/pDOm8q0oZ7w9/fHyJn6PztxDAJMxh2gFwuR3FxMXyGeiNr5FCIpo0Ggn2BeWNJrEsmAbGTaGrbsskk3CWTKCInUM/i6SNQPm0M0vx84OPjA6EzNZ11YpiEGQw7QiaTobS0FOEzZ4LXsyfSBnuieAgPIn8viMYOgmzGSCB8DKTTfOg1fy8UerkjycsTbj16IDY2FkKhkA2+ORBMwgyGnSKTySAUCpGTnY3wqZMRPnUyeH16g+M4eD3Po9emTEb+q6+irKyMiddBYRJmMBgMG8IkzGAwGDaESZjBYDCsSGuTBE2nBWjIDkZtoq+GhKunUO/gxpzZkAoL8aTZ+duMMgkzGAyr0NokwZ098aiJ7IumAtpLTts+c4/Oc5C9y+Heaz1QE+mOH/enOG0HNYBJmMFgWJi2Vjnu7F6Kmsi+Rjd3b/uaw4NjtLLu7uF0W9+KRWASZjAYFuNpiwyNm2eg+U0t+8sZGfcP90LD+iC0tTrXLBgmYQaDYTHqMwLx09nnui1gZcjeexaNOaG2vi2zwiTMYDAsQlNpLpr26tngM059RE6tt7DytQDtX/djXj88+OSErW/PbDAJMxgMs9PWKkdNVH88+UKLSMu1yFfbbhs6JPzkC+q05iwwCTMYDLPz8GoZbme76xawjp00DJEwqjnUJ/PQUi2y9W2aBSZhBoNhdqTCQtx7rYf+EoQu0Rog4R9ze+PBhVJb36ZZYBJmMBhm596JPEj368iCAzoIOc54Cd/N74n7HzlHj2gmYQaDYXa07rB8vIN0dcnWAAk38j0gE5Xb+jbNApMwg8EwO0+apaiJdEfb12ryzO0gYV0DdF1IuO1rDjfn9nGa7Y+YhBkMhkVozJmtuaFnR7l2LE8YKOH7h3vgblGmrW/PbDAJMxgMi/CkWYraeC/NaWrKzLdcTbbHDZew/DKH2oRhTrVqjkmYwWBYjMf1YtSteBGtV7SIWNtUtYAOx9Uk3XqFQ32qj9M182ESZjAYFkUuqcOtWC/c3dFH++KNLqL1Coe7O/rgVqyX0wkYYBJmMBhWoK1VjvsfFqEmqj/u7ugD+eWu5fv4Eoc7W/qiJtoT9z8scqoShDpMwgwGw2ooZXwrdjCqp3C4tdgd9ck83HutB+7m90R9Mg81kX1RPYVDbaIvmiuEtr5ki8MkzGAwbIZcUoeWahGkwkLc/6gYLdUipyw56INJmMFgMGwIkzCDwWDYECZhBoPBsCFMwgwGg2FDmIQZDAbDhjiEhJULZxiGwZ4Xg+E42P0/1a6Eouu4+qpHc72nocfMJcCOqzeNOd7d6zD2Xrq6VlM/h/1AYTg7dv3tbajw9AnIWBGbIjxDP9OQ+9J1jrF/N/Rzuvp8Q77ekGvp6ut0vQeTMMPZsetvb3PISt/7mCIPQ9+/u9mdrSVsDKY+x5gY49+bwXA27Pbb25xZmKkZtaHXZQkJG/s1xmb2lqTjM9UVMTHG/YbBYDgjdvvtbS0JG/NZxry/OSXcnes39jkaEt25Vm2fp+9rmYQZzo7dfns7UybcXblZQ8Lmwpjn2LEcwSTMcEXs9tvbGhI25GsNuS5LZsKWFLS50fU89ZUjurpWJmGGs2PX396mSLG7kjRFapaSsC0FbMxvB6Z8FpMwg0HY9be3OTJTU/5hmyLQrj7TmM/Xdo6xfzf0c7r6fHP9NmLq1zEJM5wdu//27kp6HUPbcXNeh67PM+YzjTnHkPvTd9waGPJsDP1ac7wng+FIOMS3NfsHaBzseTEYjgP7p8pgMBg2hEmYwWAwbAiTMIPBYNgQJmEGg8GwIUzCDAaDYUOYhBkMBsOGMAkzGAyGDWESZjAYDBvCJMxgMBg2hEmYwWAwbAiTMIPBYNgQJmEGg8GwIUzCDAaDYUOYhBkMBsOG/H8r0fVko1fJEwAAAABJRU5ErkJggg==" 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