Beispiel: [math]f\left(x\right)=0,5x^3+1,5x^2-2[/math][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAa0AAAJKCAYAAACf/xqQAAAgAElEQVR4nOy9eXhdVb3/v1taWtpCS4uAyiAXwasMIvITxSvqVVB/XEVFLqCCguIFQa3I5MBQajql85QmndKZznSm6dymc5MmadI2bdLM08lw5mlPr+8fJ3uTpOe0J8lJ9k67Xs/D82jXXmu/1z45+33W3p/1+UgIBAKBQNBDkKwWIBAIBAJBvAjTEggEAkGPQZiWQCAQCHoMwrQEAoFA0GMQpiUQCASCHoMwLYFAIBD0GIRpCQQCgaDHIExLIBAIBD0GYVoCgUAg6DEI0xIIBAJBj0GYlkAgEAh6DMK0BAKBQNBjEKYlEAgEgh6DMC2BQCAQ9BiEaQkEAoGgxyBMSyAQCAQ9BstNKxAIsG7dOrZv3261FFuhqip5eXmkpqZaLcV2yLLMoUOHSE9Pt1qKrdB1HYfDwaFDhwgGg1bLsRUej4dp06ZRWVlptZRPcJ+DlffCdAnmD4Pag3F39Xg8/OEPf0CSJCRJ4rbbbuPEiRMdk+F2M3HiRJqamjrUv7ux3LQURaGkpISKigqrpdgKXddpaGigoKDAaim2Q9M0amtrOX36tNVSbEVpaSk/+clPuPnmm3nnnXeslmMrZFkmLy8Pr9drtZRmdGjMg0U3wgwJFnwK3EVx9/Z6vbz22mumad10001kZ2d3SEk4HCYnJ4dQKNSh/t2N5aYlEAg6T1FREf/7v//LU089xcMPP8wvf/lL3n77bVRVtVqaIBq6BpU7YKoEqRIsux3k+A3V4/Hw8ssvI0kSvXv35utf/zoOh6MLBdsHy01LVVUqKyupra21Woqt0HUdl8tFUVH8v74uFzRNo6GhgZKSEqul2IKqqip+/etf895771FQUMBTTz3FuXPn+M1vfsN7771ntTxboCgKZ86cIRAIWC0lgq5A6XqYJsEsCRbfDGFP3N1dLhe/+MUvkCSJPn368NOf/rTDUmRZ5vTp04TD4Q6P0Z1YblqBQIA1a9aQkZFhtRRboaoqOTk5pKSkWC3FdhjvtObNm2e1FFvQ2NjIxx9/jCzL5Ofn88QTT6BpGvX19WRkZKDrutUSLcfj8TBlyhT7vNNSg5A/tdm0esP674Amx929traWhx9+GEmS6Nu3L88880yHpbhcLiZMmCDeabUHTdPQNM1qGbZD13XxeCcG4tqcj67r5OTk8MQTT/SYX83diaqq9jFwxQeH/x55PJjWHw78pV3dz5w5w5e+9CUkSaJ///78+c9/7pQcW12bi2AL0xIIBJ1HmFYPIuyGHb+KrLRSB0D2v+Puqus6x44d4/rrr0eSJAYOHMjo0aO7UKy9sNy0gsEgmzZtYteuXVZLsRWqqpKfn8/8+fOtlmI7FEXh2LFjLFmyxGoptkKYVmy8Xi9paWlUVVVZLSVCqBE++q+Iac2+Bgrj376haRp79uyhd+/eSJLE1VdfzezZszssxe12M2PGDPF4MF4URaGoqIiysjKrpdgKY89Nbm6u1VJsh6ZpVFdXi+0AbRCmFZtwOMzx48ftE/IedMCyO5r3aA2Bsk1xd1VVlY0bN5rh7kOGDGH9+vUdlhIOhzl27FiP2dtnuWkJBILEIEyrB+EqhIXXR/ZoLb4ZHEfi7hoOh0lPTzdNa9iwYRw+fLgLxdoLy01LbC6OjrG5+OTJk1ZLsR2aplFXV0dhYaHVUmyFMK3YGJGVPp/PaimRPVq1B2DeNRHTWnEPeEvj7h4IBEhOTjZN6/rrr+fs2bMdlhMOh8nNzRWbi+MlEAiwdu1atm3bZrUUWyFC3mNjhLyL932tEaYVG4/Hw9SpU+0R8q7JULwS0q6Amb1g3bdAjT/c3ev18pe//MU0rVtvvRW/399hOW63W4S8CwSC7keYVg9BDUHBzMgqK6UPbG3fxmCXy8XTTz+NJEn06tWLBx54AEVRukis/RCmJRBcIgjT6iEofjj2XnMKp/6wv317rJqamvje976HJElcccUVPPLIIz1mj1UisNy0RJb36BhZ3tPS0qyWYjsUReHw4cMsWLDAaim2QphWbLxeL9OnT7fH40HZA3teipjW7EGQN7Fd3R0OB1/84heRJIkrr7yS3/zmN52S43a7mTx5Mo2NjZ0ap7uw3LQURaG4uJjy8nKrpdgKXdepr6/vcLmBSxlN06ipqRFBKm0QphUbWZbJycnB44k/v1+XEXLC1p9HTGvuYCha2q7u1dXV3HjjjUiSxFVXXcUbb7zROTmhEFlZWSLkXSAQdC/CtHoIvgpY87UWdbQOtKt7QUEBQ4cOvSyzYYANTEuEvEdH1NOKjainFR1hWrGRZZkTJ07YI+TdeTqyN2uGBAtuAF/8jyxVVWXXrl0MGDAASZK45pprOp04WtTTaifBYJANGzawc+dOq6XYClVVOXHiBHPmzLFaiu1QFIWjR4+yaNEiq6XYCmFasfF6vaSkpNggjZMODdkwux/MlGDZnRB2xt1blmVWrVpFnz59kCSJa6+9ls2bN3dKkcvlYtq0aSLkXSAQdJ5gMMjatWt59913ee+993jvvfeYPn161GOFafUAdBUqtjaXJLkiUpJEif9dUigUIjU1tdXG4szMzC4UbD+EaQkENsbhcPDtb3+bK6+8kttvv53bbruNH/zgB1GPFabVA1BDcHp25H3WrL6w4xloR7h6IBBg5MiRpmndeeedl11AkuWmFQwG2bJlC3v37rVaiq1QVZWTJ0+KR2BRUBSF7Oxsli9fbrWULqe4uJhvfvObJCcnX/RYYVqx8fl8zJ07l+rqamuFKD44+GbzSqv9e7R8Ph+vv/46kiTRu3dvHnzwQRoaGjolyePxkJaWhtMZ/2NKK7HctFRVpby83Po/Jpuh6zpOp1MEG0TBCFI5c+aM1VK6FF3XOXLkCF/84hdZunQpubm55Obmxsx+oOs6eXl5wrSiIMsyBQUF1gdihF2w/enmOloDIXdMu7q73W6ef/55c2Pxf//3f3f6szbyMvaUrBoXNS2Px2OWDVFVlYqKCnOvg9vtNvdXGebjdruByMs9o01RFMrLy80/GJ/PZ0YLqqqKw+EwI1cCgUCrMSsqKnC5XFG1VFZWmr8O3G73eW0t+5WWlrYa0yhR4Pf7KS0tNSvhtjyf3+9vpaW6uto8n9frbTVmTU2N+SLTaDPGrKqqMvv5/X5KSkrQNO28Ofj9fsrKysy22tpaM6eY1+ttNb/a2lrzfD6fr5XO2tpac8xAINDqfNXV1Wa/cDhMSUkJqqqabcavNkOLMYeWbT6f77y5GxsTjfmpqmomtjXOFwqFKCsrM9tqamqor68320pLS5Fl2YwOdDgc5hyM62mMaWgx5meMWVtb22rMkpISFEUxy5kY/RRFoayszGyrq6sz+wWDQfNaa5qGw+GgtrbWbDt37px5vvr6erPNuJ7GHOrq6sw5GFGyLdvq6urMMUtLS00tDoeDuro6dF1nx44d9O/fn7vuuou+ffsycOBAhg8fbn5mZWVlyLJs7uvbunUrTz75pPk3EQqFouosLS0lHA6b56upqWmlxahk29jYaP6gbDu/lmPKsmyez+hntCmKQmlpKYFAwPzBYQREGJ97y37GBmDj8wuHw2ab0U+WZUpKSggGg+bcjTkY19o4X1NTk9lm3KeMMZ1OZ6v5tdTidrvN+1TbObTUqaoqpaWl+Hw+c35Gm/F3FggE0AGno5zA0ntgpoSaNpDa3UmENMzzGfMz7pmBQACI3N9qampwuVw8/vjjSJJEnz59+OlPf2ret1rOz7i/OZ3OVnMwteh6q3u00c+437Scu/F3Zty/W+o07mFGm8vlOs8vDE9oe48uKyvrUM7Ei5rW3r17efPNN1EUBafTyV/+8he2bNmCpmmsW7eO999/3xQ7YsQINm3ahK7rrF+/3iwBXVdXx5tvvmmmz9+/fz9/+tOfzA//xRdf5OOPPwbg9OnTvPXWW6iqitPp5PXXX2fjxo0A7Ny5k7fffhtN03C73bz77rusWLECgC1btjB8+HBTy8iRI81+e/bs4fe//z0QSYHyxhtvcOzYMQDy8/N5+eWXCQaDOJ1Ohg8fzpYtWwDIycnhnXfeMc83YsQI1qxZA8Du3bt5/fXXgYihTJkyhYULFwKwb98+XnjhBfMP8YMPPmDTpki9nLy8PJ5//nk8Hg8ul4u33nrLbMvKyuKvf/0rXq8Xl8vFX/7yF8aNG2fO/a233mp1PqMI4qFDh3jllVfQdd3c+W9EFOXl5fHrX/8at9uNx+Nh5MiRZltFRQUvv/wydXV1eDwe3nvvPXMOR44c4W9/+xuBQACfz8f48ePN7ByZmZn84Q9/MLVMmjSJxYsXA3D8+HGeffZZvF4vPp+PadOmmZ9tWVkZr776KvX19Xi9XkaNGkV6eqT4XWFhIcOHD6e6uhq/309ycjJTp04F4NixY/zpT38CIiaVnp7OiBEjqKmpIT8/n2effRaPx4PP52PixInmdSkpKeH555+nuroar9fLyJEjTZ2NjY28+eab1NTU4Pf7mTJlipmc+OTJk7z99tvm+ebNm2fuhTlx4oT5+QWDQebPn2/qLCkp4dlnn6WiogK/38+kSZNMLfX19bz66qsUFRXh9/sZP348U6ZMMcccPnw4jY2NBAIBUlNTzceBmZmZ/PCHP2TlypVUVVWxdu1abr/9dubPn099fT0vvvgi1dXVppaXXnqJZ599lsrKSl566SUKCgoIBoNMmzaNyZMnm5/Da6+9xpkzZ8wX+//+97/Nub/88sv4fD7C4TBr164124qKisyxg8Egs2fPZubMmeZ3/JVXXuH06dOEQiHmz5/PjBkzgMiN87XXXiMrKwtZlpkzZw4jRowA4Ny5cwwfPpxz586hKAqrVq3iH//4h9n229/+lqqqKmRZZuXKlSQlJZnn++1vf0tBQYE5B0OL0+nkr3/9Kzk5OciyzOLFi/nggw+orKykrKyMd955xzTf1atXm/ew8vJy/vjHP1JdXY2maezevdvcuFtXV8cLL7xAXl4eiqKwfPly82/C6XTyyiuvcODAAWRZZv78+YwcOdLs98Ybb0TmrqhsWrOQUyN6w1wJX0ovFrz+AOV1HjOU3Zi7w+HglVdeIT8/H03T2L59OxMmTKC+vp6HH34YSZLo378/v/vd79i+fbv5Gbndbv75z3+yc+dOVFVl5cqV5n2qurqa1157jdzcXDRNY9u2bfz5z39G13X279/P888/z8mTJ9E0ja1bt/LPf/7TnN9LL73E/v370TSNjz/+2Pz7dLvd/Otf/2LPnj1omsZHH33E3/72N7Pfu+++a2Y7ysjI4KWXXjK/D8OHD+/Q+7iLmpaiKKaL6rqO3+83l5Ft23w+n9kmy7Lpom3bFEUxf0EYlYuNd1qqqrYaMxAIIMtyTC3xtrXU0rLtQudr2xYMBlvNwfg1Y/Qzlultz9eyLdqY0doUReH48ePmO61o/VrqNK5ntDHbajFWtZqm4fV60XU9alvb6xJrDtHajDGDwWCrMVtqCQaD5i78tlra9mv5WMfn83HgwAHzB8uFzhfPmLquEwqFzDm0bbvYmC3n4PP50DTNbDM+lwv1u9A1a5tTrq6uju9+97u8+OKLQGRlaxwTCoU4ePAgTzzxBMFgEL/fb2oJhULnaWnZFktL234t59eyzfheaZoGRFYtxpjGj6lobS21GHOIdj6jX8vzXait5ZiKotDQ0MC8efOoqqoyV2exdKqqara1vW/EavP5fK3aomrRdZTaY6jp18NMCX3WlYS2/8aMw5BluZWWQCBgjinLMoFAgDNnznDHHXcgSRIDBgzg3XffBTjvPty2XyydwWAQj8fDrFmzTLM2+sWae7T7acvzxbrvRxuzI48kLX+nBZiPfQTnY/wxCM7nUr82qqqSkZHB5z73OY4fPw5EVnP3338/Y8eOPe94XdfJzc0V77RiYDzytAwj3H3eoMgerVm9YNV9ILvi667rZGVlMXjwYCRJ4uqrr2bWrFkJkdaTvku2MC2BQBCdqqoqHn/8cW677TZ+9KMf8bWvfY1HH300anJTET1oc7QwnFkIqRLMav5v/jCoPxZfd01j7969Zrj74MGDWbVqVReLth+Wm1YwGCQjI4P9+/dbLcVWqKrKqVOnWLq0fck0LwcURSEnJ4fVq1dbLaVbcDgcvP/++/zsZz/jgw8+MAMc2iJMKzY+n4/09HQzIMMS1CDkTWiOHGw2rTmDIG9SXN0VRWH16tWmaQ0bNowDB9qXtzAaXq+XefPmmQFodsdy0zIifWxRMsBGiNyDsTGi7woLC62WYiuEacXGCOu2NORd8cPRd5vraBmrrb6w/am4ugeDQSZPntwqG4YRxdsZwuEwubm5IvegQCDoXoRp2ZywG3Y++8lKK7X5vdbqr0Lo4rWsfD4fb7zxhmlaN910U49ZHSUSy01L0zQaGhp6zG7s7sKIvLH0cYZN0XUdj8cT8zHZ5YowrdgY+yUtvS7eclh5byQII7XFamvRp6Hm4hmB3G43v/zlL5EkiV69enH//febkYGdwbg2l8zm4q4mEAiwfPnyTmcqvtRQVZWsrCwmTYrvefflhCzL7Nu3L2GRU5cKwrRi43a7GTt2rLm51RKa8mFOv4hRGaY1U4KUQZA/5eLdm5p45JFHzGwYP/jBDxJiNE6nk6SkpE6ng+ouLDctXdeRZbnHuHx3oqqquPnEQFEUcW3aIEwrNsa+Msu21uh6pNhjy1XW7L6RulrL7oIj/7joEPX19dx9991IkkTfvn155plnEiTN4mvTTiw3LYFAkBiEadkZHRxHIaVFuPvS2yL/psmgBOAiW8gqKiq46aabzGwYr732WvdItxmWm1YwGGTr1q3s27fPaim2wgh5N9IACT7ByBZyOe5RuRDCtGLj8/mYP3++de+INQXOrYlUKzbeZS27HRrz4+puJEO+/vrrkSSJgQMHRt1g3hE8Hg9z5szpMUEdlpuWoiicPHmSoqIiq6XYCiP565EjR6yWYjs0TaO8vJzs7GyrpdgKYVqxCYfDHDx40Eze2u2oQcidEKmjZZrWf0Djifi6qyo7d+5k0KBBCc+GEQwG2b9/f0KCOroDy01LIBAkBmFaNkb2wr5XOmxaRsLgPn36IEkSQ4YMMZN3X25YblpG2QujhIMgglE6IBGbBy81jJISRlkFQQRhWrFRFIVz585Zt5oINcHGH0T2aKX1jvy37La4TSsUCjF37lxzj9YNN9zAnj17EiJNlmWKi4vNBNx2x3LTCgQCrFq1iq1bt1otxVaoqsrx48eZPn261VJshyzLHDx4kDlz5lgtxVYI04qNx+Nh0qRJZo2obidQCyvviay05l0Niz4DS26J27QCgQCjRo0yTev2228nLy8vIdJcLhfjxo2Lms/SjlhuWoBZ6kDQGpH9Pjbi2pyPMK0LY+l9xnUalnwuEoix8EZYdT8s/iw0xWdaXq+X4cOHmxuL77vvvoRWe+9J92BbmJZAIOg8wrRsiq5BzQFIvy6yT2vZ7bDlx7Dw+siG4zhwu908++yzSJJE7969+da3vnXZ/miz3LSCwSBbtmxJ2PPZSwVVVSkoKDArCQs+QVEUsrKyWL58udVSbIUwrdj4fD7mzp2b0NVJ3GgKlHwEaX0gpTesuAd2/w4WDIvbtOrr6/nRj36EJEn06dOHH//4xwmTZxSB7Cmp9Cw3LSPkvbi42GoptkKEvMdGhLxHR5hWbMLhMIcOHbIm5F0NwanZkUeDs/rAum9C5p8hfWjcplVeXs7999+PJEn069fPLFufCETIu0AgsARhWjZF8cOx92GKBLP7w45fQuafIP3auE3rzJkz3HLLLUiSxIABA3jvvfe6VrONsdy0VFWloqJCZOxugxHWLTZdn49RGeDcuXNWS7EVwrRioygKZ86csWY1EXbDzucidbRmD4Ij/4TMV9tlWnl5ea02FicyclaWZU6fPt1j/mYsN61AIMCaNWvIyMiwWoqtUFWVnJwcZs6cabUU22GEvM+bN89qKbZCmFZsPB4PkydPtibkPdgAGx+N7NGaOwQK58G++E1L13UOHjxohrtfe+21bNmyJWHynE4nycnJNDU1JWzMrsRy0xIIBIlBmJZN8VfBqi9H3mnN/1SkdlY7VlqKorBu3TrTtIYNG8bhw4e7Qbg9EaYlEFwiCNOyKe4imH9NJNx96W3gLIR9L8dtWqFQiBkzZrTKhnE5Z4Ox3LSCwSCbN28WIe9tMELe09PTrZZiO4yQ92XLllktxVYI04qN1+tl9uzZFoS861B3qLnYY2/46L/AVw17/xC3afl8Pv7xj3+YpnXHHXckNHuFx+MhJSVFhLzHi6IonD59WrxUb4MR8p6VlWW1FNuhaRpVVVXk5uZaLcVWCNOKTTgc5ujRo3g8nu49sSZD0dJPwt23/QJkH+z5fdym5Xa7+fWvf21uLH7ooYfwer0JkxgKhTh8+DDBYDBhY3YllpuWQCBIDMK0bIgagvxpzabVL7LC0hTY9Xzc+7QaGxv57ne/a1Ys/tnPfnZZV3q33LRUVaWyslKEvLfByPIuNl2fjxHyXlJSYrUUWyFMKzaKonD27NnuD3mXfXDgb5HIwVlXwZG/R1Zf7TAth8PBl770JXNj8YsvvphYibJMYWGhyPIeL4FAgLVr17Jt2zarpdgKVVXJzc1NWKG3SwlZljl06JB439cGYVqx8Xg8TJ06lcrKyu49cdgJW3/evEfrajiZGll97fpt3KZVWFhobiy+6qqr+Pvf/55QiW63m4kTJ4qQ9/agqiqqqlotw3boun5ZPwa4EJqmiWvTBmFaF0ZRlO7PZB6sgzUPRlZaC4ZBxcegBOI2LU3TOHjwIMOGDUOSJAYNGsTEiRMTLtOSa9NBbGFaAoGg8wjTsiFNp2Dp7ZF3Wos/C425kbROcZqWoihs3ryZAQMGIEkS11xzDXPnzu0m8fbEctMKBoNs2LCBnTt3Wi3FVqiqyokTJ0ShwygoisLRo0dZtGiR1VJshTCt2Hi9XlJSUrr38aCuQtUumDc4Yloffh4CNSB74zatcDhMenq6Ge4+dOhQNm/enFCZbrebadOmiceD8aIoCsXFxZf1Zrlo6LqOw+FIWHXSSwlN06ipqeHkyZNWS7EVwrRiI8syOTk5CQ0VvyiaAqUfQaoU2ae1+v5mMZ64TSsYDDJ16lTTtG655RaOHj2aUJmhUIjs7GwR8i4QCLoXYVo2QwtD4QKYLkFqH/j48ci/y+64Tcvv9/Puu++apnXnnXdy9uzZbhBvXyw3LU3TcDgcCd3hfSmg6zper7f7o516ALqu43a7rSnoZ2OEacVGVVXKy8sJhULdd1IlAFkjIyVJ0vrDgeGRf2+HaXk8Hn7/+98jSRK9evXi/vvvT3hNMOPa9JTAJstNKxAIsHz58oQ/p+3pqKpKdnY2kydPtlqK7ZBlmczMTLEdoA3CtGLjdrsZN24cZWVl3XfScLM5TZVg9gDI/nfk39thWk1NTfz4xz82s2H813/9V8JlOp1OkpKSaGhoSPjYXYHlpgWR91o9xeW7E1VVxc0nBuLanI8wrdjouk44HEbTtO47aagB1j0cCXeffQ2cXRz593aYVlVVlVmxuE+fPvzP//xPwmUa10aEvAsEgm5FmJbN8FXAgusjkYPzhkLN/si/t8O0iouLufnmm7ssG0ZPxHLTCoVC7NmzhyNHjlgtxVZomsbZs2dZu3at1VJsh6IonDhxgo0bN1otxVYI04qN3+9nxYoVOByO7jtpQx6k9opEDi65FZxnIv/eDtMqLCzkmmuuMbNh/Otf/0q4TJ/Px9KlSxP+rqyrsNy0FEXh1KlTIsdeG4ws78eOHbNaiu3QNI2KigqOHz9utRRbIUwrNuFwmMOHD3dflnddhYptMEuClF7w0TcgUB9pi9O0dF3n2LFjZuTg1VdfTUpKSsKlBoNBDh482P15GTuI5aYlEAgSgzAtG6GG4OSs5jpafSHjCdCb36fFaVqqqpKRkWGa1rXXXisC1rCBaWmaRlNTU49ZmnYXuq7j9/upq6uzWort0HUdn89HfX291VJshTCt2KiqSk1NTfddF8UPx96L7NGa1Q92t3gXFadphcNhFixYYJrWddddx4kTJxIu1bg2PSUYznLTElneoyOyvMfGyPI+f/58q6XYCmFasen2LO+yJ1LocZoEqVfB4bdbtMVnWoFAgH//+9+tsmF0hX63282ECRNEGqf2oOt6jwm37G66NUS3ByH+Zs5HmNaF0TSt+/5mQk2w8ZGIac29Gk6mfdIWp2l5vV7+9Kc/mRuLH3jggS5LwtCT7jO2MC2BQNB5hGnZCG8FrP5qi5IkLZ4kxWlaLpeLJ554otUerZ6SH7Arsdy0QqEQu3bt4tChQ1ZLsRWapnHmzBlWrVpltRTboSgKeXl5rF+/3moptkKYVmz8fj/Lli3rpnfEOjTmwdLPNZckuRncLaKj4zSthoYGvvGNbyBJEldeeSUvvPBCl6j1er0sXry4x8QVWG5aiqJQWFjIuXPnrJZiK3Rdp66ujqysLKul2A5N06iqqiI3N9dqKbZCmFZswuEwR48e7Z6Qd12Fqh0wp38kenDFlz6JHIS4Tau8vJwvfvGLSJJE//79+dvf/tYlckOhEIcPH+4xqzjLTUsgECQGYVo2QZOh6MPIo8FZV8CmR1q3x2Fauq6TnZ3NZz/7WSRJYuDAgYwZM6YbxNsfy01L0zTq6up6TLLG7sLI8l5RUWG1FNuh6zoul4uqqiqrpdgKYVqxUVWVsrKy7llNKAE4PjaS3T31Stjxq9btcZiWsUdr4MCBZsXiefPmdY1cRaG0tBRZlrtk/ERjuWmJLO/RUVWVrKwsJk2aZLUU2yHLMvv27RPbAdogTCs2brebsWPHdk+Wd9kLma9GVlppA+Dou23aL25asiyzdOnSVhWLN2zY0CVyRZZ3gUBgCcK0bELYFcmAYWR3P7OgdXscphUKhZg+fbppWjfffLNI6daMMCN02UgAACAASURBVC2B4BJBmJZNCNbDynsjkYNzh0LVrtbtcZhWIBBg5MiRpmndfvvtFBUVdb32HoDlphUMBsnIyGD//v1WS7EVqqpy6tQpli5darUU26EoCjk5OaxevdpqKbZCmFZsfD4fCxYsoLa2tutP5i2D+UMikYOLboD6NhHAcZiWx+PhpZdeMk3r7rvv7rLIR6/Xy/z583G5XF0yfqKx3LRkWSY3N5dTp05ZLcVWaJpGZWUl+/bts1qK7VBVlZKSEg4ePGi1FFshTCs2xn5Qp9PZtSfSNajJhNQ+zeHu94C3tPUxcZiW0+nkscceM7NhPPTQQ10mORAIsGPHDnw+X5edI5FYbloCgSAxCNOyAVo48g4rRYKZzeHuir/1MXGYVl1dHV//+tfNbBhPPPFE9PPpGrjOwpF/wranYP9foHpvgidlLyw3LaNulMjY3Rpd1/F4PJSXl1stxXbouo7T6ey+5Kc9BGFasTHCurs85F0JQNbIyPuslL6w61fnHxOHaVVUVHDHHXc0Vyzuz4sv/fn8g3QVavZGCkx++CXY8D1YdR8sGAoFM+OXrCiUlJSIkPd4CQQCrF69mo8//thqKbZCVVVycnKYMWOG1VJshyzLHDhwgLlz51otxVYI04qNx+Nh0qRJXb/vUfbC/uHNG4v7R1Y+5x1zcdMqKiqiX79+SJLEkAG92fjOfVDTJm1ZqBE2/yhiVqHmDO0hJ+x/FZbcAr74fvA6nU7GjRvXZcl4E43lpgURp+8ptVy6E1VVxc0nBuLanI8wrdjouk44HO76bOZhF2T8AqZKMGcQ5E05/5g4TCs7O/uTOloDJQreHQAF77c+KNQE+16JvENrSVMBzL4S6uMLkTeuTU+pmmAL0xIIBJ1HmJYN8FfB2m9EVlrp10JZlKQJFzEtVVXZuHFzK9PK/tdAKEy++Pm1MJxdHHlk6L00s+lYblpGyHtmZubFD76MUFWVkydPipD3KIiQ9+gI04qNz+cjPT29i0Pem7O7L7k1UrF44Y3gKjz/sIuYVigUZvWSObz4kMQfvy3x5qMSlWOvhB0/gYJZkD8DymJkx3Cego8egoL4Xyt4vV7mzZsnQt7jRZZl8vPzOXv2rNVSbIWmaVRXV4uSLVHQNI3y8nKRIaANwrRiEwqF2L9/f9femHUNag9Eij7OlODDz4MaOP+4i5iWz+9n0Yz3qUqSaJwk4Z5yBXpqb5g7ANKHwfzrYfvT54/rLYv8++n2vesNBoPs27cPv99/8YNtgOWmJRAIEoMwLYvRFShdH1llzeoNG/87+nEXMS2Px8P//d//RfZo9e7DV+6+k9rpN0DeyFgnjrzH2vg9OPZewqZjVyw3LU3TaGxs7PpNfz0MXdfx+XzU1NRYLcV2GNsBuqegX89BmFZsVFWlqqqqa6+LGoQTUyJBGKn9YM+L0Y+7iGk5nU4ef/xxJEniir79+MF/fxPfgv+AnBHnj6UpUJEBq74MmX+OGGd7ZTdfm54SDGe5aQUCAVasWCGyvLdBVVWys7OZMiVK9NFljizLZGZmkpqaarUUWyFMKzYej4fk5OSu3fcoe2HfqxHTShsIx0fFOO7CplVfX/9JxeJ+V/Hc0z+FVXfBsX+1PlBXoXI7LPsPyJ/eYdlOp5NRo0aJLO/xous6wWBQfMmioCgKgUCUZ+ICZFkW16YNwrRio+s6fr+/a0PeQ02w6dHm7O6DoXhF9OMuYlqlpaXce++9kYrFV13F3177K8jVEHS0OV8DrHkwUrdrya2w5GZYfBMs+gx8eA80nohLtvFUR4S8CwSChOL3+1m9ejUnTkS/GQnTspiAA5beFsmGsfAGqI2RBPwCpmV8hrfccotZsTg5OUaou+KDE1MhJxmOj46s7I6PguwkyJ0E/m5IDmwBlptWKBRi27ZtIst7G4ws78uWLbNaiu24HEPeFUVh7dq1XHvttTEfpQvTio3P52PhwoVdG/LuK4f51zZHDt4JTSejH3cB01JVlZ07dzJo0CAkSWLw4MEsWbKk6zQjsry3GyPk/cyZM1ZLsRVGyPuBAweslmI7NE2jrKyMI0eOWC2lWzDM6POf/zxDhgxhx44dMY/Lzc0VphWFUCjE3r17uy7gywh3n3NVZKW15gEIxAiiamlazoLWTbLMqlWrPtlYfN11XZ7iLhgMsnv37h7zuN1y0xIIrKKnPMOvqqriiSee4LnnnuP6669n27ZtUY+7FFdaPeUzQgtD4SJIbc7u/vH/xD72AiutUChEamqqaVo33XQTubm5XSy+Z3FR08rNzWXSpElAZBk5a9Ysjh8/DsCxY8eYPHkyEInOmT59Ojk5Oei6zpEjR5g5c6bZNm3aNE6ejCyXCwoKmD17dqsxjV/NRUVFTJ06FYgs6efOnWvWTcrPz2fixIlmv9mzZ5ubb48fP25q8Xq9pKWlmWPm5eWZUXher5eUlBRzDoWFhYwdO9Y835w5c8x+xcXFpha/38+SJUvMDa0nT55k3LhxZr/09HR27dpltk2cONF8wZmenm5m/CgqKiI5ORlZlvH7/cyfP9+smXX27FmSk5PRNA2fz0daWhobNmww52482/b7/Xz44YfmI9WzZ88ya9Ys82Xzhx9+aK7Qzp07x/jx4wkEAgQCARYvXsz27dsBqK6uJikpyWxbunQpGRkZps5x48ahaRp+v5/FixebN8vCwkLGjx9valm8eLH567+oqIjx48cTCoUIBoOsWbOGnTt3AlBTU8OUKVMIBAIEg0FWrlzJ+vXrTS1jxozB5/OZbRs3bgSgpKSEUaNGmUE7q1atYtmyZfh8PkpLSxk/frzZr2UkalVVFWPHjsXtdhMMBlm+fDmbNm0CIhFTEyZMwO/3EwqF2LRpE1u3bjX7TZgwwTzfunXrzEeR5eXljB07Fo/HQzgcZuPGjaxcudKcX3JyMg0NDYRCIdasWWP2a2xsJCkpiaamJkKhEGvXrmXt2rVAJKP32LFjzTm0bHM6nbzyyis89dRTFBYWMnjwYPMzqq2tJSUlhaamJmRZZuvWrfz973/nueeeo6amhokTJ1JTU4Msy2zevNnMruJwOBg3bhz19fWEw2E2bdrE8uXLAaisrGT06NF4vV7C4TBbt241H0/V1NQwYcIEHA4H4XCYzZs38+GHH5o6U1JSqK2tRVEUdu/ebY7pdrsZM2YMFRUVKIrCtm3bWLhwIQANDQ2MGzeOuro6FEVh+/btLFiwwNSZnJxstu3cuZP58+cD0NTUxIQJE8wxP/74Y3NMt9vN6NGjqaqqQlVVMjMzWbJkCW63m4aGBqZOnYrD4UBRFPbt28eKFSvMz2js2LFUV1ejaRqHDh0y72Eul4vJkydTXFyMqqrs3buXtLQ0ADxeHxMmTqRo5W9htoQ2sy/Brb82tUyYMIHy8nJUVWX37r3Mn5sGh17GO6MfKaNepcbhQtM0srOzmTdvHiNGjDBN64477qC+vp7c3FzmzZsHRO5h06dPp6CgAE3TOHDggJlY20gMfOrUKTRNY//+/aZOl8vFxIkTKS4uNueXkpICwKlTp5gwYQJFRUVomsbhw4fNMb1eL1OnTuX06dPous7x48fNyF2fz0dqaipnzpxB13WOHj3KtGnTWunMy8tD13WysrJajTllyhROnz5Ne7moaXm9XjNM1IjnNypotiydoaoqlZWVeL1es80oHWG0GUXGfD4f1dXV5v+ePXu2efMKBAJmJmZVVamurjaftfp8vvO0uN3umDqNNp/P12rMlnPw+/2UlZW1Op/Rr62W2tpas5/P52vVr6amhqamplY6dV0324w5BAIBysvL0TTNbDMeWRhtAOFwmIyMDNMY2+qsq6trNWZVVRUQeXRWV1fXag7G+YwyMEY253A4TGlpqdlWV1dnthn9dF0/r5/f7291rWtra825tz1ffX292RYKhaioqGh1PqMkTSgUoqysDFVVzTYjBDcYDFJWVoau6+i6Tm1tLevXrzezvBs3hLb9jDEVRTmvTVGUVv0aGhrM+YVCIXN+xhwcDkcrLS37GfvFwuEwZWVlyLKMpmk4HA6zn1Eaw9DicDhizt1oC4VCpKWl8Y1vfMM06EGDBrFnzx4g8iipqqoKWZbRdZ3Gxka2bdvGk08+ic/no7Ky0kyE2tjYaL7PkWWZsrKyVm3GHEKhEKWlpaiqiq7rNDU1mf3C4TDl5eVR+ymKYu6DMkrHtGwrLS0lFAqZYxr7DxVFaaWlZZssy63O53Q6W/UrLy83x2xsbGzV1vJ8Ho+H4uJiJk6cSElJiWnkuq7jcrla6Wypxe12m98rVVWpqKggEAiYWsw2Tae8tIjAlmfMcHfl2CizX3l5OcFgsLmfi+qKYtjzAurcwVSeyCCsfBLBV1RUxPPPP2+a1j333GPeU4x7Ztv7qcvlanWvraioMLNbuFyuVnMoLy83HwO63W7z/jpy5Ehyc3PNFbrb7Y45ptfrbTVmVVWV2Rbtvh/LE1qO2R5s8XhQZHmPjqZphEIhq2XYksvh2lRVVXHjjTdy3XXX8cMf/pCvf/3r9O7dmwcffJBZs2add7yu6+Tl5V1SjwcThbFq7rKQ91A9bHwkkg1j3hAoWRP7WOPx4IKh4GodrNHU1MQjjzwS2Vh8xRV8//vf7xq9LTCuTU/BFqYlEAjOx+l08uqrr/Lss8/y9NNP89hjj3HFFVfw6KOPsnjx4vOOvxTfafUYPKWw+v6IaaUPg/qs2Mde4J2Ww+HgnnvuQZIk+vbty69+FaWI5GWO5aYlQt6jo6oqp0+fFiHvUVAUhdzc3Msq5B0i7yf79u1rviNsizCt2HRtyLsODXmRrO4zmrO7X2iP1AVMq6KigiFDhiBJEldddRVvvPFGF+htjdfrJT09XYS8x4ssy5w4cYLCwigp/C9jNE2jqqpKmHkUVFWltLSUw4cPWy2lW3E4HLzxxhsxX14L04pNl4a86xpU7Yrsz0qRYM1XI9GEsYhhWkaQwxVXXIEkSQwaNMgMauhKjJB3keVdIBB0K8K0LEILw+kFzYly+0YvG9KSGKalqio7duwwgzAGDx7MqlWrulh8z8Ny0zIi04xIKkEEI3rJiBgUfIIRvWVEdgoiCNOKjaIolJSUdE3AgRqIpFKaKkFafzjw1wsfH8O0ZFlm2bJlpmkNHTqU3bt3J15vWzmyzLlz55BlucvPlQgsN61AIMDy5ctFlvc2GFnejb1ngk8wsrxHi6C7nBGmFRu32824ceO65keg7IE9/xdJlJs2EHLGXuT46KYVCAQYN25cq43FBQUFFxgoMTidTpKSkkSWd4FA0L0I07KIUCN89M1I5OCcwVC88sLHxzAtn8/H22+/HSn+2KsXd911l3jSEgVhWgLBJYIwLYvwV8Giz0ZMa+ktUH/swsfHMC2Xy8UzzzyDJEn07t2bb33rW+aGd8EnWG5aRlTP5ZL8NF40TePs2bN89NFHVkuxHaqqUlBQIB4pt0GYVmz8fj8rVqwwM5QkDF2HuiMw75pIuPuq+8BXeeE+MUyrqamJ73//+0iSRJ8+ffjxj3/cLe+ZfD4fy5YtM7P92B3LTUuWZQoKCjh79qzVUmyFkeXdyK0o+AQjy7uRB1IQQZhWbEKhEJmZmYnfi6TJcG41pPWBmb1h/bcj/3YhYphWWVkZX/nKVyIVi6+8khdeeCGxWmMQDAbZt2+fyPIuEAi6F2FaFqAG4cTk5j1afWH7UxfvE8W0dF2noKCA22+/3dxY/NZbb3Wx+J6J5aalaRqNjY1dV+emh2Ik0DSSgAo+wUiC2qUF/XogwrRiYyR2Tfh1kb1w4LVIyfu0AXDsvTj6nG9amqaRmZlpZsPoro3F8Eli256S/9Vy0woGg2zYsCFmaprLFVVVOXHiBHPmzLFaiu1QFIWjR4+yaNEiq6XYCmFasTFKEhlZxhNG2AXb/jeyR2vuNXB67sX7RDEtVVXZtGmTGe4+ZMgQszxNV+NyuZg2bZpZjcHuWG5aILK8x0JVVXHziYGqqj1mM2R3IUwrNrquEw6HE5/l3VcBa/+/5uzuQ6Eyjh/fUUxLlmWWLl1qmtYNN9zA0aNHE6s1Bsa16SkFN21hWgKBoPMI07KAxhOw8PpPEuX6qi7eJ4ppBQIBkpOTTdO69dZbzTpfgtZYblqhUIg9e/aIkPc2GCHv3fWIoCdhhLwbVYgFEYRpxcYIeU+sEehQdyAShDGrF6z+KshxJJ2NYlper5dXXnnFNK3//M//TKDOC2OEvBuFY+2O5aYVDoc5duwY+fn5Fz/4MsII6xbv+s5HVVWKiorYu3ev1VJshTCt2ASDQTIyMhL73kZToOSjSPqm1D6w5f+/eLg7RDUtp9PJT37yE3Nj8Xe/+93E6bwIgUCALVu2mJWQ7Y7lpiUQCBKDMK1uRg1A7riIac3qB3v/EF+/KKZVX1/PfffdZ+7Rev7557tQeM/GctPSNA2n09ljlqbdha7r+P3+xO/gvwQwtgP0lASf3YUwrdioqkptbW1ig3fCzeZjJMrNTY6vXxTTqqmpYdiwYZbs0TKujaqq3XbOzmC5aQUCAVauXMmWLVuslmIrVFXl+PHjTJ061WoptsPI8p6Wlma1FFshTCs2Ho+H8ePHU15enrhBQ42w/rsR05o7GM7FWfsqimnl5OTQr18/c49Wd37vnU4nY8aM6TE/Ai03LWNF0SV1bno44XC4x+QD606MEF2v12u1FFshTCs2mqbhdrsTu5oI1MLyL0RMa+ENUBVn7as2pqVqsHXrVrNi8eDBg1m+fHnidF4E49okfDtAF2G5aQkEgsQgTKs70aEhBxZ8KrJH68MvgCvO/KltTCssq8yfP9+MHLz22mvZsWNH18rvwVhuWqFQiF27donEsG1QVZXCwkJWrrxIbZ7LEEVRyMvLY926dVZLsRXCtGLj9/tZunRp4lJ/6QqUb4Y5V0X2aH309fgiB6G1aTkLCATDJCUlmaZ1yy23kJubmxidceD1elm8eHGPiSuw3LRkWeb48ePdUqGzJ6FpGuXl5ezatctqKbZDVVWKi4vJzMy0WoqtEKYVm2AwyPbt2xMX8q6GoCCleY9WH/j4J/H3bWNaXn+Qv/71r2bxx3vuuYeSkpLE6IyDQCBARkYGfn8ce8xsgOWmJRAIEoMwrW5E8cORf0US5ab2h/3D4+/bxrRcbi9PP/00kiRxxRVX8J3vfCfxJVQuISw3LRGIERsRiBEdEYgRHWFasUl4IEbYDTt+GUmUO3sQ5E+Pv69hWguGgvsUjU43P3j0UbP44+OPP54YjXEiAjHaifGsecOGDVZLsRVGJvPx48dbLcV2yLLM3r17mT69HTeKywBhWrFxu90kJSVRVlaWmAED1fDRQ83h7kOhalf8fduYVmlFHffff79lG4ubmpoYMWIE9fX13XrejmK5aRkrrZ5SNbM7ESut6Oi6TigUEiutNgjTio2xmkhYNQnXGVj8mUgQxoIbwFMSf98WpqV7TnH8RCGf+cxnkCSJAQMG8M477yRGY5xomobL5RIrLYFA0L0I0+oudKg73CJR7n0QbkeAh2law9Dcp9mdeYg+ffqYG4snTpzYddIvASw3rVAoxN69e0WW9zaILO+xEVneoyNMKzZGlveEpEXTwlC4sDnnYF/I+Bno7UgPZZjWwmGo7tNs3LLDDHfv7o3F8EmW957yVMdy0xJZ3qNjhLyLLO/nI7K8R0eYVmyCwSBbt25NTMi74oPDf49sKp7VH/b/qX39W5hW2FlA+qLlpmldd911HD58uPMa24HI8i4QCCxBmFY3EXbDzt9ETCttIOSMbl//FqYVaMhj7IQppml99rOfFcUfL4LlpiWyvEdHZHmPjcjyHh1hWrFJaJb3UCOsbY4cnDcEipa1r79pWtfhrc1m+Ot/N03r7rvv7vaACEVRRJb39hAIBFi+fLnI8t4GVVXJzs5m8uTJVkuxHUaW91mzZlktxVYI04qN2+1m3LhxiQl5d5+FpbdFVlqLPgO1B9rXv4VpOSuP8LNf/NLco/XYY491Xl87cblcJCUl9ZgfgZablq7ryLKcuFDUSwhVVQmFQlbLsCWKoogbcxuEacVG13WCwWDnVzG6BjX7YP61kXD35V8CX3X7xjBMa9F11Jce4CsPfANJkujXrx8vvfRS5/R1AOPa6Lre7efuCJablkAgSAzCtLoBTYZzayDtCpjZC9b9V/vHaLHSqszfxqc+fYu5R+vdd99NvOZLDMtNS2R5j46maZw5c4ZVq+IsLHcZoSgKJ06cEFlU2iBMKzZ+v59ly5Z1PshBDcKJqZ+Eu+94uv1jyG7Y/Vv0hcM4ujWdQUM+hSRJXH311aSmpnZOXwfwer0sWbKkx8QVWG5a4XCYrKwskeW9DSLkPTYi5D06wrRiEwwGycjI6HzIu+yFzD9Hcg6mDYCs99s/RtgNu59HWTCMNfP+TZ/+VyNJEkOGDGHjxo2d09cBRMi7QCCwBGFa3UCwATb9MLLSmjMYznVgI3DYDXueJ5g+lOkfvIwkRbJhXH/99aLcThxYblqaptHQ0JC4OjeXCEZYd3V1O1/yXgbouo7b7aampsZqKbZCmFZsVFWlsrKy84FN3lJYfGskCGPepyLVi9tL2A17X8A3fyj/fPlxM9z9C1/4AqdOneqcvg6gqioVFRU9JhjOctMKBAKsWLGCzZs3Wy3FVhgh71OmTLFaiu0wQt6teP5vZ4Rpxcbj8ZCcnNz5kHfnaZjdN5J3cNnt4Kto/xhhN+z9HZ55g/nj0w8jSRK9e/fmgQcesOSHmNPpZNSoUSLkvT0oitJjXL47UVVV3HxioKpqYjaKXkII04qNUYOtUyHvugoV25sT5faGdd+EUAeeEIXdsOd3uGddxS9/9GWz+OMjjzxiyX3QuDYi5F0gEHQrwrS6GDUI+VMjjwZnXQk7n+3YOLIH9v4O59Q+/Ow7dyJJEn379uXJJ59MrN5LFMtNywh57+4kkXZHhLzHRoS8R0eYVmwSEvIue2DfS5EgjNQBcLSDda9kD+z5HY5kiUe++hlzY/Ef//jHjmvrBCLkvZ3Iskx2drYIeW+DEfK+a9cuq6XYDlVVKS4uFpFWbRCmFZtgMMj27ds7F/AVaoIN32vOOXgNFKZ3bBzZA3t/T9UoiW9+aTCSJDFw4EDGjRvXcW2dIBAIkJGRgd/vt+T87cVy0xIIBIlBmFYX46uEFfdETGvhDVC9u2PjNJtWyfsS993aF0mSuOaaa0hP76AJXmZYblpGGWxROr01Rj6wnhLR050YGfDFNonWCNOKjaZp1NfXdzx4R9ehPiuSIHe6BB/eDt4ORiI2m1bxuxJ3fzYS7j506FD27NnTsfE6iXFtRJb3OAkGg2zYsEFkfmiDqqqcOHGCOXPmWC3FdiiKwpEjR1i0aJHVUmyFMK3YeL1eUlJSqKqq6tgAmgJlGz4Jd191X8fFRDGtT33qUxQVFXV8zE7gdruZNm1aj/kRaLlpGb+ag8Gg1VJshyzLYgUaBSNEt6eknekuhGnFRtd1PB5Px1cTahhOz4msslL7wMc/6biYlqb1mYhpfe5zn8PlcnV8zE5gPO3q7jpeHcVy0xIIBIlBmFYXovjhyL9gigRp/eHA8I6P1cK07vqMhCT15pvf/Kb4zOLEctMKh8Ps37+f7Oxsq6XYCk3TKC4utiSBpt1RVZXTp0+TkZFhtRRbIUwrNoFAgHXr1nX8HXHYBduejgRhzL4aTnaiAGkb0+p9RV+eeuqpjo/XSfx+P2vWrMHj8VimoT1YblqyLJOTk2NJzi07o2kalZWVIpN5FFRVpaSkhAMH2lkx9hJHmFZsjP2gTqezYwMEamHlvZGNxXOGQtWujotpY1p9+13F66+/3vHxOkkgEGDHjh095nG75aYlEAgSgzCtLsR1FuZcFQnCWPof4O5E0ERL0/q0xFUDBokco+3ActMSgRixCYfDPWbJ3p0YgRgiSKU1wrRi06lADF2F8i2QIkFKb9jwbQh3cMUGpmkVvSvxxRslBl09mBUrVnR8vE4iAjHaSSAQYO3atWzbts1qKbZCVVVyc3OZNasTz84vUWRZ5tChQ2IzZhuEacXG4/EwdepUKio6kJVdDUL+tMijwZQrYedznRPTwrT+8waJIUNvYPfuDm5UTgAul4sJEyaIkPd4ESut2IiVVnR0XScUComVVhuEacXGWE10aKWl+ODgG805B/vDwdc6J0b2wN4XKXonYlqfvfXz5Ofnd27MTiBWWgKBwBKEaXURYSds+TFMlWDO1ZA/o1PDaSE3yvbnIqZ1Yy/u+vID1NfXJ0jspY/lphUOhzlw4IAIeW+DpmmcO3eOTZs2WS3FdqiqyqlTp0TIexuEacWmUyHv3jJYdW9kpbXgU1DV8ew9OuBxOqhc/CilIyT+84bePPjQd5pbrMHn87F69eoe81RHmJZNEaYVG2OflngP2hphWrHpsGnpGtQegPRhkXdaSz8HgY5XF9Z0qK0qI3vilykfKfHFG/vw2E+e6PB4iUDs0xIIBJYgTKsL0BQoWRsJdU/pBWsf7NxwOpQWnWb7v26mapTE3Z/pxwsvvpIgsZcHlpuWCMSIjcg9GB2RezA6wrRi0+GQdy0Mp+ZE3mel9oXt/9spHaqmk597jAUv9KZunMR9twzkvQ9Gd2rMziICMdpJIBBg+fLlbN682WoptkJVVbKyspg0aZLVUmyHLMtkZmaSkpJitRRbIUwrNm63m7Fjx1JW1s5yIrIXDrzWnHPwKjjyz07pUFSNwwf3MvXnEo7xEl/9j2tInbuwU2N2FqfTSVJSUo8pg2S5aem6jtfrFb+aoxAKhTqeduYSxqg1ZlVWbLsiTCs2mqbhdDpRFKV9HUNNsPHRSHb32YOhaGmndIRCMiuXLTJN68EvDGXLNuv2aEHk2jQ1NYl6WgKBIDHIskxWVhbbt2/n3LlzMY8TptUFBB2w/AsR00ofBnWHOzWczx9g8oQxzHxSS8G/WAAAIABJREFUwjlR4lt3Xc+pMyWJ0XqZYLlpGdGDWVlZVkuxFUb0oMjyfj6XU8i73+9n/PjxDBgwgF69enHXXXexdu3aqMcK04pNIBDgo48+av8jMPcZmDsgEoix7PPgPNMpHW6Pl+F/fpX/+4bElj9LfOPLt1HjaOzUmJ1FhLy3k3A4zMGDBzl+/LjVUmyFYVpbtmyxWortMELet2/fbrWULkXTNPbt28eQIUOYMmUKtbW1PPfcc9x5551RjxemFZtAIMCGDRvaZ1q6CuUfQ6qRc/A7kRIlnaCpqYkf/fCHSJLEgH69efjhb+MPBDo1Zmfx+/189NFHwrQEAkHn0HWdyspK1q5dSzgcpqKigj/84Q88/vjjMY/Pzc0VppUo1CDkTWoOd+8LO3/Z6SHr6+v5yle+giRJ9O3bl2eeeQZdt25jcU/koqal63qrl5eqqpqhkZ1pM176aZpGY2Mjbrf7vLauOF939btYm/GHGqufruv4fD4cDkdCdWqa1qE5XKhfItuM66JpmjmnaP28Xq+Z4PNi/eJtu5DOjo7Z2Tbj/2dmZvLpT3+aIUOGsG7dulafWct+WVlZPPHEE4RCITRNS7iWtueLt+1CY3Z1m67ryLJMfX094XA4fp1hN+rOFyKZMNKuQjv0d4yg8PZoaXm+kpISbr31ViRJon///rz66qvmcdG+xy3nEOs7rmnaed/jC/Vr26ZpGg6Hg1Ao1K5+0bS0977YEcO+qGnl5OQwfvx4IJIpecaMGeb7p8OHDzNhwgQgElI6efJksrOz0XWdQ4cOMXXq1FZtBQUFAOTn55Oammq2jRgxwnx3c/bsWSZOnAiA1+slLS2N/fv3m/2Sk5PNtpSUFLMQYHZ2tqnTaDt06JA5B2NMj8fD9OnTzTkUFhaSlJRkRjGmpqaa/YqLi81+Pp+PhQsXcuTIEQAKCgoYNWqU2TZ37lx27NhhtiUnJ5vGM3fuXLOY45kzZxg9erS5z2jOnDlmhuezZ88yevRoVFXF6/UyatQo8xz5+fmMHh3Zz+H3+1m6dCn79u0z+02fPh1N08y2zMxMAIqKihgzZgyBQAC/38+CBQvYunUrAFVVVYwYMYJgMEggEGDRokV8/PHHrbQYY7bsd+rUKcaMGWPusVu4cKGZneLMmTOMHTuWYDBIMBhk5cqV5mO86upqJkyYQCAQIBgM8uGHH5rvZ6qqqkhKSsLr9Zpt69evNz+HkSNHmolyly9fzltvvUV6ejo1NTWMGTMGn89n9tuwYQMAlZWVJCUl4fF4CAaDLFu2zByzqamJsWPH4vP5CIVCbNiwwdx2UVlZybhx4wAIBoOsXbvWLB1RVlZGUlISbrebUCjE+vXrWb58uTm/0aNH09DQQCgUYuXKlWa/xsZGPvjgAxobGwmFQqxatYpVq1YBUF5ezqhRo8w5tGyrq6tj7969NDY2sm/fPt5//33uvfdeDh8+jMvlYvr06TQ2NiLLMps3b+bNN9/kueeeo6amhuTkZKqrqwmHw2zcuJFFixYB4HA4GD16NA6Hg3A4zIYNG1i6NBIVV1FRwciRI/F6vYTDYbZs2cKCBQvM+Y0dO9bst3HjRpYsWQJEwqanT59OdXU1iqKwc+dOli1bZn7Hk5KSKC8vR1EUtm7dambor6+vZ9SoUdTW1qIoChkZGcyfP9+c++jRo8227du3M3fu3FafnzHm5s2bmTdvnnm+kSNHUllZiaqqZGZmMmvWLCZPnsyJEyeYNm0aDocDRVHYs2ePqbOxsZFRo0ZRVVWFpkPesb1k/n0IzJMIpPRj9YRfcbq4Gk1V2bNnj1mBwePxMG7cOM6ePYuqquzYsYO0tDQgkkF97NixlJaWoigKixcvRpIkJEmid+/ePPjgg3i9XlRV5ciRI+bc3W43s2bN4ty5c2iaxpEjR8wxvV4vU6ZMIT8/3/xBY9Tj8ng8JCcnU1BQYD5eNraGuFwukpOTKSoqQtM0Dh48yIwZM/D7/bzxxhu8//77FBcXo2laq/u3x+Nh4sSJnDp1Cl3Xyc7OZsaMGaaWmTNnUlhYiK7rHD58mMmTJ7fSmZOTg67rHD16tJXOCRMmdKj470VNKxgMmr/2jVVRoPkZbCAQMBM9appGQ0ODuUnY7/ebz4+NtlAoZI7Z2NhotjmdTrNfOBxuNWZjYyN+vz+qloaGBrOtrZaWOoPBYMy2UChEXV2d2dbU1GS2tdXSsq2tlqamJjNsP1qboTMUCuFwONB1/bx+RltLncbm4rZjOp1Oc8xwOExDQ4M5Zsu2tudzOp3mmLIsU1dXF7WtrZb2tum6jq7ruFwuc37Gr92WbcYKW5ZlHA6HuTpwuVzmM/ZwOGx+RkZbU1MTiqJcsN+F2lRVbdXm8XhaXZeWK1y3223qDIfDrfq53W4z9N7oZ/yCbNlPVVXq6uqitrXV2bLN+GwMamtreeihh8xf6A0NDeaYHo+HPXv28OSTT+L3+2lsbDRXAG6329w+oSiKedOONoe6urpW18XoZ3x+0foZ30ejzev1mm3G3GVZNsc0VslGm9HvQm1er9e8bxif34XGNNr8fj9OpxNZllEUpZVOn89nzq/l+UAnVHucwLybYKaEln4DzpKDhBQdiPRreX8zjLytTqPNOPfq1avp27cvkiQxaNAgpk+fbn7Ofr/fnIPx/Tce8xqfZ8trbdxP/X5/q/tUfX292dZWp7HaNPoZbYFAwJxD27a2YwYCgVZtxg+xaFpaekLbe3TLMduDeKclENgUY5Xwgx/8wNwUW11dzQMPPMA//vGP844X77QSiK5BbSbMHRR5p/Xh50HrXMBEOBwmPT3dXGndeOON7NmzJ0GCLx8sNy2RMDc6IuQ9NpdTyHthYSFf+cpX+Na3vkVSUhI///nPufvuuykqOr/cu4gejE27Q941Gc4ui6RvmnUFbHokIRrGjBljmtYXvvAFzp492+lxO4sIeW8nwrSiI7K8x+ZyMi1N08jLy+PnP/85N998M08++WTM74owrdi0O8u74oej70ZMK60/HPhLpzV4vV5eeeUVJEmiV69efO1rXzMf41uJyPIuEAgsQZhWAgm7YPszkcjB2VfDyc7nuWxsbOSxxx4zgzC+853vJEDo5YflpqVpGi6XS2Qzb4ORX6+nJLHsTtq+tBZEEKYVG+PFvyzL8XUINsDqr0ZqaM0dAmUbOq2hvLyce++9F0mSuPLKK3n22Wc7PWYiMIJF2p2X0SIsN61AIMDKlStFlvc2qKrK8ePHzbBTwScYWd6NEGBBBGFasfF4PIwfP57y8vI4OxTD/CHNhR9vhYbcTms4deoUQ4YM4f+xd97hdZxl3j7ujuOaHkKSTUJNIBD4QvYjIRuyoe1SEyBhN5RAWNjALmTZwEKWLwshbeOQ4qJm2bJly5bl3nuRZcmyVSzJkm11WcXqOv3MmXZ/f8yZUbFkq8w5M0ea+7p8QTRn3veZo6Pzm3nf5/k9LpeLq666ihdfHJtjvFn09PQYpRrxgOWipaed2mFt126Ew2Ej9dmhF71eK17W4GOFI1pDo6/oDOtpQpWhaR8kT4Wlk2DrQyCMzR9Qr13VkzDmzJlj1KpajV624vTTcnBwiCmOaJmELMC5ZZDggoQpsOerYx9Sltm5c6chWvPnz3cyg0eJ5aIlCAI5OTmOy/sAFEWhpqbGcHdw6EXPHtTdOxw0HNEammAwyObNm43i1ssi+SHvN1oSRuIMOPbcmOcXBIHExERDtK699lrbfOf5/X42bNgQNysXlotWOBwmPz+fkpKxrxmPJxRFoa6uzrBOcuhFlmUqKys5fPiw1aHYCke0hiYYDLJz587h7dsI3bDna1q6+7I5UL50zPP7/X7+67/+yxCtW2+9laampjGPawaBQIBt27bFTTKc5aLl4OBgDo5omYS7EjI/qjV+XHEttJ4Y+5BuN9/97nf7eQ46XclHh+WipacvBy3uKWNHwuFw3DyyxxI9ESNe7gxjhSNaQ6MoCh6P58qJGKqqdSdOvVqzb1pzGwhjF5euri4efPBBoyXJ448/Pvz0+yijJ6k4iRjDJBgMkpmZ6aS8D0CWZQoLC3n77betDsV2iKLIsWPHDJdtBw1HtIbG4/HwxhtvGB6OQ6LK0LBTe8pKmgSbHgBFvvw5w+DixYt87GMfM2q0nnnmmTGPaRY9PT288sorTsr7cBnosO2goRcX687ODr2oqkowGHSWVwbgiNbQ6G7kV3y6kUNQslDbz0qaDod/NOa5VVWltLSU97///UaN1u9///sxj2sWuht73x5ZdsZy0XJwcDAHR7RMoK99U/LVmoCNEVmW2bdvH7Nnz76kJYnDyLFctJyU98FxUt6HRpZlKioqnMzKATiiNTTDTnkPdcCGT0WSMBZAw9hrqcLhcL/mj9dcc43RjNQO+P1+srKy4mb/3HLRCofDnDhxgtOnT1sdiq3QXd6dWqRLkWWZ8+fPG52iHTQc0RqaYDDI9u3bryxanhpIu14TrYw7oHPs30uCILBkyRJDtG677TaKi4vHPK5ZBAIBtm7dGjdbNJaLloODgzk4ojVGVBka90LKDFgyCTY/AKGxmzIHAgH++Mc/GqJ1zz33xE3Sgx2xhWgpihI36ZaxRFXVuNkcjTXOe3MpjmhdHlmWUVX1Mi8QtELipS5ImAr7vmXKvB6Ph6efftroo/XZz37WlHHN5IrvjY2wXLR0l/fdu3dbHYqtkGWZoqIix+V9EERR5Pjx447L+wAc0Roar9fLW2+9dXmXd9EHx5+PNH68CvL/y5S5Ozs7efTRR3G5XEydOpUnnnjClHHNoqenh9dffz1uMpUtFy3H5X1oBEHA7XZbHYbt0MsBHAf8/jiiNTTDcnkXumD31zXRSp0L51eaMndDQwO33Xabke7+wgsvmDKuWTgu7w4ODpbgiNYY8VRD5kcimYPXwMXjpgx75swZYz9r9uzZLFq0yJRxJyqWi5YoihQWFnLmzBmrQ7EViqJw4cIFDh06ZHUotkOWZaqrq8nOzrY6FFvhiNbQhEIh9u3bd5lu1yq0nYDkyVpLkow7tO7FY0SSJHbs2NGvJcnWrVvHPK6ZBINB9uzZg9/vtzqUYWG5aIXDYU6ePElpaanVodgKRVFoaGhg//79VodiO2RZpqqqiiNHjlgdiq1wRGtoQqEQu3fvHnrfRgnD+VVaUXHSVNj1FVDH3n4+FArx9ttvG6J13XXXUVRUNOZxzSQQCLBjxw5HtBwcHGKLI1pjQArAqZciojUTcn9tyrA+n4/nn3/eEK0777zzyv6HDpfFctHSXd5DoZDVodgOURTjpuAvlqiqSjgcjps7w1jhiNbQ6B6nQ5ZJhN2w79sR+6bZUGqOUbXH4+EHP/hBv5YkdqvR0t8bJxFjmDgu74PjuLwPjSiK5OTkkJCQYHUotsIRraG5ost7qE3robXIBWnXaE7vJtDV1cXnP/95I939K1/5iu0ypR2X9xGiq7xz13wpgiA4TuaDoLu8O+UA/XFEa2gURaG7u3twl3dV0XporZgPS1yQ+WFwV5kyb11dHXfffTcul4sZM2bw7LPPmjKumegO+PFSrG+5aDk4OJiDI1qjRAlD5WpIcsHSybD9EXOGVRTy8/O56aabcLlczJo1i5deesmUsScylotWOBzm1KlTlJWVWR2KrdCzBw8cOGB1KLZDzx48evSo1aHYCke0hiYUCrFnz57BswelIBS/ri0NJk6HQ983ZU69JcmsWbNwuVzMnTuX5cuXmzK2mQQCAXbu3Bk3q12Wi5YgCGRnZ3Pq1CmrQ7EViqJQVVXFli1brA7FdsiyTHl5OTt3mrPvMF5wRGtoAoEAWVlZtLe3X3pQ9MDhH0fsm2ZB0V9MmVMURTIzM43Mweuvv96WdZd+v5+1a9c6rUkcHBxiiyNao8TfBJs/ozlhpC6AC+YkhYVCId59911DtO644w6qq6tNGXsiY7loqaqKz+ezXUaNHXC8BwfH8R4cHEe0hkb31xvUe7DnHKy6UUvCSLsBfPWmzOnz+fjVr35liNaHP/xhWyZW6UkqTiLGMHFS3gfHSXkfGlEUOXbsGImJiVaHYisc0RqaIVPeVQWaD0Xakbgg614ImyMsbrebJ554wmhJ8pnPfMaUcc3GSXkfIU7K+9AIgnAZr7SJi5PyPjiOaA3NkCnvcghK/6otDSZOg4PfA5P6SnV2dvLQQw/hcrmYNm0aTz31lCnjmo2T8u7g4GAJjmiNgrBHyxZc5IIk85IwAJqamrjllluMliR/+MMfTBt7ImO5aIXDYQoKChyX9wE4Lu9D47i8D44jWkMTCoXYu3fvpSnvoU7Y+GlNtFbMh9qNps15+vRppkyZgsvlYs6cOSxbtsy0sc0kGAyye/fuuFntsly0BEHg6NGjnDx50upQbIWe8r5582arQ7EdTsr74DiiNTRDpry7q2D1bdry4JrboL3AlPkGtiRZsGABe/fuNWVss3FS3h0cHCzBEa0RokhQvx2WTdcSMTZ8EkRzDKoFQWDJkiWGaN10002OgYJJWC5a+qa64/J+KaIoxs0jeyzRXd6dMon+OKI1NHppTb9kAzkEpe9EnDCmwr5vmTZf35YkkyZN4p577rFtSxLH5X2EBINBsrKy2L17t9Wh2ApZlikuLua9996zOhTbobu8JycnWx2KrXBEa2i8Xi8LFy7kwoULvT8UvXDk2V4njML/MW0+t9vNd77zHVwuF1OmTOGxxx6z7fJbT08Pr7/+upPyPlz0VFSnULQ/ep+xtrY2q0OxHaqq4vf76ejosDoUW+GI1tDIskxra2v/lPdgK2z5rFZUvGwe1GaZNl97e7uR7j59+nS+/31z/Ayjgf7eOCnvDg4OMcURrRHiqYS0Bdp+1orroNu8DOaqqiqjJcnMmTP51a9+ZdrYEx3LRSscDpOfn09JSYnVodgKRVGoq6uzbcaRlciyTGVlpVMOMABHtIYmGAyyc+fO3iWwfk4Yk2DDJyBkzpO7oijk5uZy7bXX4nK5uPrqq1m4cKEpY0eDQCDAtm3b4qZLuuWi5bi8D46iKFRXV7N161arQ7EdsixTUVHhWH8NwBGtoQkEAmzYsKE35V0W4MxibWkwYRrs/w4o5iyPDUx3nzt3Lunp6aaMHQ38fj+ZmZm23XMbiOWiZQekjlo8O1+m/Z0v0fLiXTT+cpbxr+XFu2h740G6M55DqM6xOlQHhyFxRGsEiB448mOtPivpKsj/vWlDC4JAYmKiIVo33HADx48fN238iY4tREuWZcs2AXs2/o6m39zQT6iG+tez8XcxjU1V1cFdqR2c92YQHNG6PJIkoeq+gqF22PS3Wrr78vlQnWHaPIFAgJdeeskQrdtvv52LFy+aNn406Pfe2BzLRSsQCLB27Vp27NgR87k7Ep/oJ0pNv7kBz86XkTpqAQie3sLFP3/COO4/viJmscmyTEFBAW+99VbM5owXRFEkOzubJUuWWB2KrXBEa2g8Hg+vvvpqb61URyGk36wtD2bcDl2lps3l9Xr56U9/atRofepTnzJt7GjQ3d3Nn//857jJxrVctPQ+N7FOeR9MsIKnL+0S7D34rvGaWKKnvA/aaXWCo6e8x0tdSaxwRGto+qW8qxLUb4XkqVoixsZPmObsDtDV1cWjjz6Ky+Vi6tSpPP7446aNHQ2clPc4oK8Q6f8GEywA//EVNP5yFhf//IkYR+ngMDIc0RomcgjK3tWKipOmwt5vmjp8a2sr73//+3G5XMyYMYOf//znpo4/0bFctMLhMCdPnqS01LzH88shddResofVkfhETOYeCYqi0NDQwP79+60OxXboKe9HjhyxOhRb4YjW0IRCIXbt2kVXdzdIXjj8I20/y2QnDIDKykquuuoqI9399ddfN3V8swkEAuzYscNJeR8ugiBw7NixmKW8d2c8d8lTlh2zAhVFoaamxkl5HwQ95d2x/uqPI1pDY6S8d3RCqA0yPxpxwlgAjeZ9jhRFITs7m6lTp+JyuZg3bx7r1683bfxo4KS825yBKe12fMpycBgNjmgNk55zkDQFElyQcQd4akwbOhwOk5aWZmQOXnfddZw4ccK08R1sIFr6pnowGIz6XMHTWy55yvIefDfq844WQRDi5u4nlugu7/GynBErHNEaGkVR8Hi8yKIIDVsjThiTYdvnQOg2bZ6B6e4f+chHqKqqMm38aKAoCm6323F5Hy7BYJDMzMyYuBv0bPzdJaJlV2RZprCwkLffftvqUGyH7vKekJBgdSi2whGtofF4PLzxv2/S0FAPp/+kFRUnTtf2tkye54c//KHh7v7II4/gdrtNncNsenp6eOWVV+ImG9dy0Yrlk9bANPe2Nx7sd1zqqB2ysLjlxbuiHt9ABEGw/QfeClRVdZ5CB8ERraFRFIUetwdJcMO+J7TMwZSroeRNU+fp6Ojol+7+rW+Z16MrWuhlR07Kuw1pe+PBfkLUnfHcJa8ZbAnx4p8/YctkDQeHvjiiNQwCTbDxPi1zcMU1UGduolNlZaXh7j59+nR+/OMfmzq+gw1ESxRFSkpKOHv2bNTnGo5oAbbY91IUhebmZo4dOxbzue2OLMvU1dWRl5dndSi2whGtoREEgSNHjtJzfjek39DrhOGtNW0OVVUpLi7mfe97Hy6Xi1mzZvGXv/zFtPGjRTAY5NChQ3HTJd1y0QqHw+Tm5lJUVBT1uQaK1mBiJFTnXCJauq1TLFEUhdraWsfJfBBkWebs2bNODdsAHNEammBIYNu27XTkvQuJkXYkm+43dQ5Zljlw4ICRhDFv3jyyssxrLBktAoEAmzZtipvldstFK5a0v/OlKxrgena+fMnSoINDPOCI1hWQAloh8TsuSJoBR581dXhRFFm9erUhWtdcc43j7h4FLBctVVUJBoMIghD1uQZmDw5WozXwaaxrxQ+vOG7w9Bba3/mS4bTR9Jsb6M54jrY3Hrwk2WMkiKIYN4/ssURPeQ8EAlaHYisc0RoaVQVfVyPKzi9HnDDmwBlzDZcHprvffPPN1NfXmzpHNFBVFZ/P56S8D5dgMMjmzZtjstQjddReUlzs2fmycWxgdmHf40PR98lMf3LrO85oi5dlWaakpITExMRRnT+eEUWREydOkJaWZnUotsIRraHx+fwkLHwRz7vTIckFy6+BlmxT5/B4PDzzzDOGaN19991xkZHndrv561//Sne3efVq0cRy0dJVPlZ3zcHTWy7bP6vpNzf0O365rEGhOsd4bV9x6msVdSXRuxyCINDT0zPq88cr+tN5rDsD2B1HtIZGkUV6ytahLI3sZ2V9AvyNps7R1dXFww8/jMvlYtq0aXz72982dfxooSgK3d3dcSGwYAPRsgKpo5bujOf69cpqefEuOhKfQKjOwbPzZeO/L0ffJ6q+4tZXtIZyj3dwMBtHtC6DHIKyv0acMKbBgadMn6KtrY077rgDl8vFVVddxX/+53+aPoeDDURLFEXKysqorKy0OpQRoz9lDUzW0BM+mn5zw6jH1lPenbTuS9Ed8GNlsmw14XCYnJwcMjIy2L9//5D2VY5oDY0U8hDe/33NCSPpKsj/relzVFRUMG/ePFwuF7Nnz46bBq6hUIijR4/GzR6x5aKlu7wXFBRYHcqI6FuEPPCJTN83G0sShqIoVFdXOy7vgzCRXN69Xi9//OMfmTt3LtOnT2fOnDl8+9vfHnT/wRGtoZE8DYTXfVITrRXzoHqtqePLssz+/fuZMWMGLpeL+fPns2nTJlPniBaOy/sEQW8OObBIeaifOziMFEVROHDgAFdddRXLly9HFEW2bNnCjTfeyKuvvnrJ6x3RGgoVOotg9fu0ouLV7wNPtakzCIJAamqqkYRxyy23TJiVgFhjuWjp6cvx9kc2lDj1TZkfjpOGCiiqCqIXghehvQAq0yH/d3DsXyHnl5D3Gyh6FSoSofkQhNpQpSDmNQiPP1RVJRQKWR1GVFFVlfb29n61Pm1tbTzyyCM899ylN0SqqnLmzBkef/zxuPt7iiqqBA3bI/tZLtj4Ce1nJhIIBPjv//5vXC4XkyZN4uMf/zh1dXWmzhEtVFWNm6VBGIZoVVZWkpGRAfQ2Ujt37hwA5eXlrF2rPWb7/X7WrVvH+fPnjT8evfmZfqy2VnOWqKmpYfPmzYCWJvrKK68Yy2CNjY3GmMFgkC1bthhdjWtqalizZo1xbNOmTZSVlQFw/vz5fnFu3LiR8vLyQa8hKyvLuIaGhgbS0tKMjLTNmzdz5swZAJqamoxYQqEQu3fvpqKiAoDaoqPU/fsCGn85i/ZlT7M3cxnVbzzWLzkjVHWMYDDItm3bOH36NAAXLjSxcnUGkgJyqJOW3KWE9v0ItvxfWHm9Vq2fGPnjWtrnX0LkX9Jk1FU3Im59DOn4C6i1G2iqKmbDll0okTj37t1LSUmJcQ3p6ekIgoAgCOzatYv8/HwA2tvbSU1NJRwOIwgCe/bsMXr/NDY2smrVKhRFMbq+6sfq6+tZtWqVIRy7du3i5MmTxnnp6enGmIcOHTLuODs7O8nIyEAQBMLhMAcOHODo0aOAZjSalpZGMBgkHA6zf/9+w8KqqamJ5cuXGzc4+/fv580332T16tV0d3ezatWqfufl5OQY15eWlobf70cQBPbt22cc8/l8pKenEwqFCIfDHDt2jNzcXOO89PR0QNtPOnr0KAcPHgS0Vur6mKIokp2dzYEDB4xrWLVqFW63m3A4zKFDh4zzPB4Py5cvx+v1GscOHToEaEK0cuVK4xoOHTrE4cOHAc2Be+/evYRCIVRVJScnh4997GMcOXIEv9/Phg0b8Hg8SJJEbm4ub775Jk8//TTt7e2sWbOGjo4OJEkiJyeHPXv2GGOuXLmSnp4ewzF/3759RizLly8nGAwiiiJ5eXmGK0tHRwfp6en9ztu7d6/xfmZlZdHZ2YkkSRQUFBhj+v1+VqxYQWtrK7Isc+LECXbu3Nkvlq6uLmRZJj8/nx2JH5XdAAAgAElEQVQ7dgDQ3d3d79ipU6fYtm0boC2bpqenG2Pm5uYa5+nztbe3IysqZ0pPU5L6LUhwISZMomzR/8HrDyPLMkVFRUacHo+HtLQ0Ojo6UBSF0tJSw9HC7/eTkZFBU1MTiqJQVFRkLP+FQiFWrlzJl7/8ZVwuF5MnT+Zzn/scXq+XYDDIqlWruHjx4iXX4Ha7WbFiBV1dXSiKQnl5uXENgUCAzZs309zcjKqqVFRUsGXLFuNYZmYmNTU1qKpKSUkJmZmZxrE1a9ZQV1dnHNPj9Pv9rFmzhqamJlRVpaysjI0bN+L3+3nppZdISEgw5uv7/R0IBFi7di319fWoqsq5c+fYsGEDoH0Pb9y4kYaGBlRVpby8vF8smZmZRmuWs2fP9juWkZExqjq2K4pWa2ur8cccDoc5efIkLS0tgPZloicKCILAiRMnuHjxonFM/yLTj7W3twPaH4a+hxUOhyksLDTG7OrqMsbUj124cAGg311nOBymoKCAxkYtbfXixYv94jx16hRNTU3GNfQds+81dHZ2Gl+O+nz6ed3d3cZ5ukdic3OzEUtZwk+NZIz6Fz9C/dY36VrxQ+2/X7gVVVURRZGioiIaGhqM6zu2Yxly3u9Q132A0CKXts6eMECslkR+3vd/lwx43RIXavIUPMtuoyz1G6hdZYiCn7KKai5caDSuIScnB0mSEEWR06dPU12tLY14vV6OHj1qHCspKTGOdXV1kZOTY1xD3/M6Ozv7HSspKaGmpqbfeZIkIUkS5eXlxs2Kz+cjLy8PURSRJIkzZ84YNw9er5djx471O3b+/HnjGrKzs1FV1Th28uRJOjo68Hg85OTkDHqePmY4HEaSJMrKyoxjoVCo33nnz583/rj0MfX5zp49a9wAud1uY0xZljl//rxxk+Pz+cjJySEYDBr7bvp5wWCQo0ePEgwGkSSJiooK4wbI4/H0u/a+x3w+HydOnECWZc6dO8fnP/95Xn5ZK6MIBAKcPHmSYDCIoihUVVWRnp7OU089hdvtJi8vD5/PZ8Sp38gEAgGOHTtGIBBAlmUqKyuNmz/9M6FfX1VVlXGe1+vl+PHj+P3+S84LhULk5+cbRaq1tbXG+yIIAtnZ2Xg8HqMjd3Fxcb9Y9PP6HvP7/Zcc0+3egsEgx48fN/pAVVVVGef1m0+FptoKmpPvgQQXUuJM6nb+B0FRW36tr683riEYDJKdnY3X60VVVS5cuGDc4AmCQG5uLl1dXaiqSn19vXEzJooi27dv54EHHjDc3Z944gnjvJycHCPO2tpa4xoCgQDZ2dn4fD5UVaWpqanfNZw6dYru7m5UVaW5uZnCwkLje+rEiRO0tbWhqioNDQ3GDaVui9fR0WEc0+MMhUIcP37cuIbGxkZOnjyJqqpUV1dz7NgxY77Gxkbj2sPhMHl5ecb3d0tLi/Hdrn/XdnZ2GtfQN5b8/HxaW1sBaG5u7jdmbm6uMeZIsHx5MB7xHnyXlhfvGjSdXU/CuCRdXlXAXQnHfg7p1/d/gtL/f8p0rQ34rq/A8X/TLGdKXoH8P0D2z2DvN2DdhyBpav+nsEQXpLggdRbsexwubAfio7rd4cooikJ+fj5/93d/ZwjWYDjLg0MQbIM1t0WSMK6BVnOLigFqa2v5yEc+gsvlYubMmfzHf/yH6XM4aFguWvqdun7HbXf6GuoOLDzuaxPVT9AkH5xNhYw7e0UmstRHxt9oNSPV68FdBYGLIAW0O8Q2Dzl5fYyEZQECLdBeBOUJmkCl36ZV+OvjLnVB8jTY+SXTK/7tgizL1NfXT4g25uFwmC1btvDwww8byzVD4SRiDIKqwMUc7YZwqQuy7gVfg6lTKIrCiRMnmDVrlpHu/u679u2IPpBgMMjhw4fjZl/LctESBIEDBw4YS3t2p69o9XW78Ox82VgqNIx4VRk6CmDP13sFJcEFidNg+99rQuYbfE1XX9JZt27dZaJRIdAK5UtgxxchZVr/p7flc+H4v2tiOI6QJImSkhJjX3Q8U1payi233MJdd93Fiy++yK9//WteeOEFY3+jL45oDYIcglK9qHiqtlph9hSyzI4dO/q5u1/+79Ze+Hw+Vq5cGTcNZy0XrXjEe/Ddfga5eiFx+ztfwn98hfYi0QOFf4aVkd49ejuEdR+A8ytANrlTsxSElqNw4ElYPr/Pk9ckWH0rnP5fkBzz3XhClmWOHTvGfffdx/3338+9997Lxz/+ce6//34WLlx4yesd0RqEsAcOPq11Kk6+Ck7+wfwpwmGWL19uiNZ1111nJI85mI8tREtRlLhxGB4WwTY48pPeBIsEF6TMhCPPgvv8sIdRVXXkfmCKCM2HYc83+u+bJU2D3V+B7vKRjWdTRvXejHMc0RqEQDNs+WykU/F8qDO/4LdvurvL5eL222+PO19MWZZR1fgoorFctILBIFlZWePH3cBTA7v+sc/T1WTI+jjUjcyDUE/Hfe+990YXhxyC2k2w6YHeWJZO0vbQzq8wvU4lloiiyPHjx0lOTrY6FFvhiNYAVBXaT2oOGEtdyMuvI9BSYvo0breb7373u0a6+2c/+1kkKX7+vnp6enjttdfo6uqyOpRhYbloKYpCW1sbnZ2dVocyNlQFOgph89/2SU2fDnufGHLf6rLDRdzv9ZT+URNogdznIXl6n6eumXD0p1rSRxyiqiput9soTXDQcERrAIqoJTgtckHiJJSNn0ESzX9fOjo6uPfeew1398cff9z0OaKJJEnU19cjiqLVoQwLy0VrXKAq0JoLGR/oFazkqyD3P7S9JqtRwlC7EdZ9sM9T1xTY8hB0lVkdnYNJOKI1ACkAJ/87sp81A3L/NSrTVFdXc8MNNxju7r/9rflmvA69WC5aeuGqXkwZd6gqdBTD2g/1CkLK1XDqj1r24ChRFIXGxkbDMcKUOHsqYO/jfdLuJ8G6j2rWUHGELMvU1tY6rcwH4IjWAIQu2PoILHYRTpzOiWVP0+M3dx9UURSOHTvG7NmzcblczJkzJ+4atwaDQfbv3++kvA+XeEt5vwR3JWz+v1rSRaILUubBudQxD6unvOu2J6Yh+aHwZS0xQ08SSbsezsVPF+CJlPI+EhzRGoCvXrNGW+oisGweWe/9Gxc7zXUyD4fDrFmzxkjCWLBggWHFFC84Ke8TiUCrlqWnC1bqHK0mxO7IIahIgbTrep8OU+dBwZ+sjsxhDDii1QdFgrrNkDxFW1nY8GmQzE80CAaDvPbaa4Zo3XnnnYbtlUN0sIVo6T51cYXohmPPRTZ5XZB8NRS+YuoUsixH78tHlaHlMGR8sDc1P3kWnPittkdnc2RZjpuN41jhiFYfpIC2RL/IBYlTUfd+i7AMimJuWrfP5+Pf/u3fDHf3+++/n46ODlPniDa6EbWT8j5MgsEg69evN5yk4wLRB/m/711eS75K+7I3ET3lPap2MHrG45aHehNIUsy/FrPRHcaTkpKsDsVWOKLVB6EH9j2hJWGkzsZ77Pe8+V6KYb5tFl1dXXzjG9/A5XIxZcoU/uEf/sHU8WOB2+3m1VdfjZsMbstFS1EUurq66OnpsTqU4SEL2p6VLlgJ0zXvQMXcLwlVVfH7/YZrflTxN8Peb2pPXEsjIpz3wpgSSaKJqqp4vV7a2tqsDsVWOKLVh56zmknuEhcsvwa58SAtbd2mvy/19fV88pOfxOVyMWPGDP7lX/7F1PFjgSRJNDc3x81ql+WiFVeoilasmH5LJANvqub5F2y1OrKxE2jR7kyNlP2ZkPOLuFgqdNBwRCuCqkDLkd4s2bUfAKE7KlOdOXOG66+/HpfLxaxZsy7rwu9gDpaLliiKFBcXG32HbI3QDXu/pa2TJ7gg8+4R2TKNBNNT3odDsBX2f7vPHtdMyP45yPb6ApRlmZqaGiflfQCOaEWQQ1D2rrGfxd6vExJCHDx02NQVHUVRyMnJiVujXB0n5X2ECILA4cOH7d9mQgpC8Ru9TyIrrtNskqKEoihUVlYaHUJjRqgNDnyvj3BdBXm/AeyzSStJEqWlpUYHWAcNR7QihN2w/zuaaCXNguK/EBBk1q5dZ+qScjgcZtWqVXFvlOvz+Vi9enXc+CVaLlpxgSpD0wGtyeLSyBNI7q+sjip6BNvg4Pc0gV7qgmVXQ9GrVkflcAUc0YoQbIP1d2s3XqnzoG5jVKbx+/384Q9/METrpptuirvMwXjEctFSVZVgMIggCFaHMjT+C7DlwUg91hTY/nntbi7KiKKI329RO5FgO+z5Zu8T1/J5UJFgTSwD0FN042U5I1Y4okWklOMIpF6t3XCt+yD0nEVFe6IwszNAX6PcSZMmcd9991n39zoG9MSmeOm0YbloBQIB1q5dy/bt260OZXBEn+YhqBcQp78fWnOufN4YkSSJU6dO8dZbb0V9riHx1WsdkPVrT7sJqk126BgFoiiSnZ3NkiVLrA7FVjiihbafVbIwcrM1BXZ+EQCPx8Orr75KQ4N5XYu7urp46KGHDKPcJ554Ii7b5XR3d/PnP/85bp4SLRct3c3clncoigjV6yBpsva0sexqKI7dMpkgCNaXAvguaHVcevLJqpu1pVIL0Z/O48V2JlY4ooXWfPXwjy9p+qgoCt3d3aamdTc1NXHHHXcYRrm/+93vTBs7luhlR/EiuJaLlq0JtcHGT2t3bUlTtKeOOO5DNTpU6CqB9ff0JqGs+zB0nbY6MIcBOKIF+Bphw33aZ3XZPKjNiso0ulHuggULcLlczJ49m7fffjsqczn0x3LREkWR0tJSzp07Z3Uo/ZGC2jKDXuux+jZoy4/Z9Iqi0NzcTE5O9Jcir4iqQtsJrZleggsSJ8Omz1jWj0uWZerr6+2fcRpjJrxo6S2CEiM3V6vfDz5tOVAQBI4ePWraysVAo9z58+ebb24dI4LBIIcPH46bPWLLRUsQBPbv32+zmhsVOou1D/3iSLbg8X+PaQSyLHP27FnWrl0b03mHxN9kOGaT6ILEaVqDSyH2S3SSJHH69Gk2bYpeyUE8MuFFSw5B2Tu99Vm7/1EzzkXL9Fu1ahWtreYYAQSDQV599VVDtN7//veTnx+7m1oz8fl8rFixIm6W2y0XLVsSdsOhH/Tu46y/BwLNVkdlHaoMDbs0x+x1H4LUmZEnrhmQ/VOro3OIMOFFK+zR/m4XR+qzCqPXtcDn8/GLX/zCyBy89957Y2O55mC9aKmqSigUsk/KuyJBww5Inqp9MafOg7PJloQiSZI9HtmlABT8j7ZPsO1hyP8v7YkrIdLwsvDPMQ9JFEWCQRt0hbYRE160Ai2Q+VHtZjPtWqjvzUjWvTzNSuvu6enh8ccfx+VyMXnyZP7+7//elHGtQE+Gc1zeh0kwGGTDhg3s3r3b6lA0As2w4+8jad5TYc/XjSWGWCLLMsXFxSxatCjmc1+C0K3VbL3rgoy/AU8lHP5R75Po8nlwPnZNJEVRJDc3l5SUlJjNGQ9MaNFSFbiYAyvmazdX6z4MnlrjsNfr5a233jLN5f3ChQvce++9uFwupk+fzg9/+ENTxrWCnp4e3njjDbq6zO83Fg0sFy1bubzLITizuLcxYtr10LTfklBi6vJ+JXrOasuCi12wYgHUb9Huajfd31vDteZ2uBibfUnH5X1wJrRoyYJW/L40Up+168v9D8syzc3Npr0v5eXlzJo1y0h3f/HFF00Z1wr098ZxeY9HPNWQcWdkTXwm5DxndUTWo8pwYU9kDyvyvuQ+rx1rO6EVWy+JZBRueRBC8XG3Nh6Z0KIleuDwM5H6rFlQFD23dVVVyc3NNZIw5s6dy6pVq6I2n0N/LBctSZI4d+4ctbW1V35xVAMJQOFfem2L1t8DnhrLwlFVlba2NgoLCy2LAdDel6JXIuajkSXTXV/RnN9VGeq3wbKZ2h1u0nQ49DTRNtfVywGctub9mdCi5WvU9rOWuCB1ATTu63c4HA5z6tQpvF7vmKcSRZH09HRDtK699tq4Lr8Ih8OcOHGCUChkdSjDwnLREgSBQ4cOkZeXZ20gPee0Ja7FkTu1gv9naTi6y3tWVnSKI4eN0AW7/jHy9Bl52lr3wd6WLFIQiv9XE/qlLkiZDaf/N6oh6S7vW7dujeo88cbEFS1Vq6HUP59r79JKNPoQCARYs2aNKSnvfr+fF1980RCtv/mbvzEtld4KfD4f6enpTsp7XCH5oeAlbWkh0QXrPjCxU9z74q2HVTdFnqQi78+ya6ChT1sQoRsO/HNvYkbaDVoGpkNMmbCiJYeg5K3I/uo02Pd4VJ1rBmYOPvzww/h8vqjN59AfW4iWoijWOgx3l0PGHdrSQlJkb0ax/o9eVVVr/cAUCep3QMrUyH6Wvq81C079sf9rfQ2w8f4+y6sf1RI4ooTl740NmbCiFe7RhErvnzXEKoksy6akdXd2dvLAAw8YRrlPPvlk3DikD4UkSU7K+3AJhULs2LGDQ4cOWROA6If8F/svf6XfohnFWogsy5SVlZGammpdEJIfTv6/3gxB/f1JmKy1Z+mLqmhLNOm3RhIzpsKer2rLh2aHFXHAX716teljxzMTVrTclZBxl/Y5XXktNOy85CU+n4/ExESam8e+glJeXs6tt94a90a5Om63m8WLF9Pd3W11KMPCctFSFIX29nbragS6KzTn8r7LX8sXQG2MOwYPQC/4a2pquvKLo4W+7JcwTXPBSHJByjStGWbm3Zd6DyphqFzd64qfNEtbdjUZVVVxu920tLSYPnY8MyFFS5Xgwu7eZKD192if2wHIssyFCxfGbGIgyzJ79+5l9uzZhlHu4sWLxzSm1UiSRENDA6IoWh3KsLBctCxFCmpJA4tckDQJls/WlsKSZmo9tCY8qva0FeqC6tWajVPeb7TMwbB38KJr0Qcnfq/d9S51Qdp1UOt4BMaCCSlaUhCKX9f2o5Omwr4nojpdOBxm+fLlRhLGNddcw7Zt2658ooNpWC5akiRx9uxZqqurYz+5/4LWemSJC1Kmw6obtS/mhMmw/VGtn5ZFKIpCa2srp06dsiwGA1XSCoqTp0D+H678+kCL9v4tijy5Zn4UvOaVNCiKQmNjI8XFxaaNOR6YkKIV7oHdX9M+a8mzofSvg78sktbt8XjGNF0wGOTll1/ulzlYWlo6pjGtJhQKkZubGze2aJaLliAIHD58OPZ1DnIIypdGXMsna47umz7T2zMq407otO7DqKe8b9hg7TKlFowEdZsiovX7K79eVaH9pLbsqu9v7f2G9oRmApIkUVZWZt9u1xYxIUXLXQlpC7TP2YoboGPwuka9Q/pYU9M9Hg8/+MEPDKPcT3ziE6bUflmJz+djzZo1Yxb0WGG5aFlGoLm3weOyq+HAd7X6Dt35IXU+1MRnfxzTGalogSZQ59K0p1bdWLfgf6Ib5wRnwomW/rlc6oLESbD5MxDqjOqUbW1tPPTQQ+PCKDdemZiipYhQs77XY3Ddh6DsvQFp3VfBiResjtQejEa0AEQvHHuuj7HuNf2ctx3MZcKJlujT9p4X621y/iXqU9bV1XHLLbfgcrmYMWMGv/jFL6I+p0N/LBetYDBIVlZWbF3eQ22w4wval2nK1ZD7K63uSE97T4rUa219WEvltgBZlikqKuK9996zZP5+jFa0QLPX2fpw5ItlMmx64BK3gpEiiiLHjx8nOdmaljF2ZcKJVqBZW9Jf5ILUOZph7hB4vV4WLlw4Jpd3VVU5efKksZ81HjIHQUt5f+211xyX9+EiyzItLS2xc+zWC2aTp2hPWqvfD82HYOeX+4tWoktzgoi06441elp3XV2dJfP3YyyipaqasW7atZEn27HfEauqSnd3Nw0N1vxu7MqEEi1VgZZsrS3OEhesvgW6y4Z8uSRJ1NTUjCnZQBRF1q9fb4jWggUL2Ldv35VPtDmiKFJVVRU3nxnLRSvmhHtg/1ORbKPpcPCfoKdC+1LVs92SIunay+ZDVbrVEVvPWEQLIm0jkiKFyS6tsea55ebHOcGZUKKltyJZFHmC3/a5qE8ZDAZ58803DdG6/vrrKSsbWigdooPloiWKIuXl5VRVVcVgtshdf/IU7ctzxbXQtA86C2HnF7RlrLT5WqHitodh51egPDEGcV2Koii0tLSQn59vyfz9gxmjaAGEu+HA93r9Hdd+6LJ3xpcNR1FoaGiw3gHfZkwo0Qp7tI4C77kgeSbkXb6uUhAEcnNzx5Qh5/V6efbZZw3Ruvvuu+3R726MhEIhcnJynJT34RIKhdi7dy/Hjh2L/mT6xu0iFyROgd1f0ooTVRnkAPgbYNtD2pJh8CLIQZCsseuXZZmzZ8+yZs0aS+bvhxmiBZr7yNo7+6TBf3NUXaElSaK4uNge5QA2YkKJVqBFK0vRW5FcuNS6qS9+v58VK1aMSWS6u7t57LHHcLlcTJ06la9+9atx087jcni9XpYtW+a4vNsSdyWs/YAmWsvmQvmS/sdDnbDtEVhzq+YE4aBhlmgpolZGkHJVZPl1NhS/YV6cE5wJI1qqrHUUT4ws42feHROv0MbGRj72sY/hcrmYOXMmv/zlL6M+p8Ol2EK0JEmKfqtnOaSJlJ7mnvmRSz3KQp2w7e9g9a1aurbFyLJsjy8fs0QLIjZPv+v9PaTfDK3ZIx7GNu+NjZgwoiUFtJo/oxXJE5qQXQZVVQmHw6N2Y1cUhby8PK6//nojc/Ctt94a1Vh2Q1VVBEFwXN6HS8xS3kPtsPlvI00er4IT/znIa+wjWuMm5X0w/M3aE62xif6w1i59mDgp74MzYUQr1AU7vqTtZ6VcDSULr3iK1+vlrbfeGnXKuyiKZGVlGftZ8+bNY926daMay2709PTw+uuvOynvwyUmLu+qDI27ITmynLD6VugcxLfORqKlqip+v99al3cds0VLVaDlKKy4RnviSp6p1coN93RVxePxOC7vA5gYoqVCVymsuU377Ky6ETqu7EE5Vpd3QRBYvHixIVrve9/77JEkZQL6e+O4vNuJsEerDXovspxw4LuDv85GomUrzBYt0JZ4il/rbRq5fAHUbTFn7AnKhBAtRYTqzN7l5Q0fH1Uyz0jx+/389re/NUTrox/9aNw8mYw3LBctSZKoqKiIrst7dxmsuV37glw+H6rXDv46G4nWuEt5H4xgO+z+akS4JkHWveCrv3I4isKFCxcoKioyL5ZxwIQQLdELR57tTXXP/fdhnRYOh8nLyxt1ynt3dzdf//rXDc/Bz30u+nVhsSIUCnH8+HEn5X24RD3lXRbgbEpv990Nn9Tu8gcNxj6iJcsyFRUV9ujOGy3R0t3gV96o3TknzYDDPwIuv1kuSRJFRUVkZWWZF8s4YEKIVrBNq/FbEin+bxheL6uxpry3tLTwgQ98AJfLxbRp03jqqadGNY4d8Xq9pKSkOCnvtkHo1AqHF7kg+QqddG0kWrYiWqIFWlbnmSW9LWFS5kKFNQXd8c64Fy1VhsZ9kDwp0qX4YzGzWSsvL2fy5Mm4XC5mzZrFyy+/HJN5HS7FctFSVRVRFKOzCagq0JoDy2ZEEjDugI7LLCnZTLRkWR5ze3BTiKZoAYQ6tEJjfX9r3Yehu/yyp0iSZI/3xkaMe9GSAnDyvyOfk2lw8HvDPlVVVUKh0KjSuiVJYsuWLcZ+1vz589m8efOIx7ErY3lvrMBy0YpqyntfB4yEabD/25d/vY1ES5ZliouLWbRokaVxANEXLVToPD2gaeS3tJ8PgiiK5ObmkpKSEoVY4pdxL1rBNtj2+T6u7sMveRhLynsgEOBPf/qTIVo333wzZ86cGfE4dsVJeR8hiqLQ1tZGZ2cUmrd5qmD9Pb0JGFVX2B+ykWipqorP56OxsdHSOIAYiBaRvcdlvaa6y+bAmcFr1HQH/Obm5ujEEqeMa9FSVWgvgLRrtFWTVTdqf9/DRJZlGhoaRvV07vF4+NGPfmR0K77vvvvGheegjiRJNDQ0OCnvltOvq6kLMj8M4SsIkY1Ey1bEQrQAhB7NBFVvGplxl1aT4zAsxrVoKWE4v1LLGkyaDFsfitnU3d3dfOELXzA8B7/2ta+Nv/c3jrBctCRJ4uzZs9TU1Jg7cNgNByNfgMlXQd6vr3yOjURLURRaW1s5deqUpXFowcRItAB6zmqFo4sjy4R7vn5JHY6iKDQ1NXH69OnoxhJnjGvRCrth37e1v+ekWVD4PyM7PRwmPz9/VCnvNTU13HPPPUa34n/9138d8Rh2RnfAd1Leh0koFGL37t1kZ4/cf+6ydJdrTRwXuyDtBs1g84rB2Ee0ZFmmvLycVatWWRoHEFvRkgU4t0J70kpwQcpsKPlrv5foKe+ZmZnRjSXOGNei5a2DlTdoe55pN0DzwRGd7vf7SU1NHbGLiqIo5Ofnc+ONN+Jyubj66qt58803RzSG3fF4PCQnJzsp75YiBTU/siUuSJgM2x8Znmu7jUTLVsRStEC7qz7y496mnGv+Btpt8MRpc8ataCkiVK2J7HdOgs2f0fwHY4AkSWzfvr1ft+LxlDkYj9hCtBRFQZYv79I8IoLtsOsfI4aas+H068M7z2aipapq9N3vh0OsRQug55zWRmaxC5Kmwb7H+x1WVdXcz8w4YNyKluiFo89GlgZnwLHRLc9JkjTitG5BEFi0aJEhWrfccsu47FY8mvfGKiwXrWAwyKZNm9i3b585A6oqtOZp3YcTXFoadXfF8M61kWjJsszp06dJSEiwNA7AGtFSwlq2Z0LE5HjZHCh7B9BS3vPy8li+fHlsYokTxq1oeWshs08WcP3wXDD6DeH18u677444G9fr9fLzn/+8n+fgeKsPdLvdLFy40El5Hy6yLNPS0kJ7e7tJAwah9K1ec9wBd+iXxUaipad119XVWRoHYI1ogdbv7PAPerMJ19wBHQWoaBldo20zMV4Zl6KlSFC3tTcLeO2dWr3WCJEkidra2hEnG/TNHJwyZQqPPfbYiOe2O5IkUV1dHTefGctFy3T0vllGd+KlIzjXPqJlK6wSLTW5Jn0AACAASURBVNC6Ta/7UG824e5/0JxOHC5hXIqW6IOcf+9dGjz6k5hO39bWxh133GFkDj733HMxnd/hUiwXLVEUOXPmDJWVlWMfTO/TlDo70ob7w+A+P/zzbSRaiqLQ3NxMXl6epXFowVgoWkpY24RPmqr9TlPnolQk0NDSaY9ygBgSDocvm7I9LkUr2K55DC6O3IRWji6bVhAEjh07Rk9Pz4jOKykpYfr06Ua34nfeeWdU89uZUCjE0aNHCQSGMBK3GZaLVigUYs+ePea4vEt+OPX/eu/K9z0xwmDsI1q6y3t6erqlcQDWihZE+qH9NHK3PQlpzQcoOpDG+o3bYx+LRfT09PCzn/2MZ555ZsjXjDvRUiSo3wrJU3tvQkfggtGX0bi8i6LI2rVr+3kObts28v00u+O4vFuJ/wJsvD9yVzZPq6AfCTYSLVthtWiBlk247kO93oQHvsFQ3oTjjZaWFp5//nlmzpzJs88+O+Trxp1oSX448dve/en9T8Z0+kAgwEsvvdTPc7C4+Mpdkh2iy/gRLVWBi0d7i1Kz7tbakoyEUKdW0+WIVn9UCRq2QIqFoqWEoToDEiNtKZbNhtMLrYklhrjdbn7961/zhS98gQcffJCnn356yNeqqsqZM2d4/PHHx4do+Rth46d7lwarYlto7/F4+P73v280fnzggQfMSxhzGDVXFK2Ojg7j7kIURcrKyoxfXFtbm3EsHA5TUlJiHGttbaW0tLTfMT2lsqury3BJ9vl8vPvuu0bBntvtNux5RFGkvLzcqGLv6urqF8uZM2eMx/2ujlY6d/wElriQEqdQu+JR2jo6jWvoO2ZpaakRZ09PDwUFWkaaGupA2PC3mo2Q6MXjC/Q779y5c7S1aZlL3d3dFBYWGscqKiqMdNquri6jq64oipw9e9a4BrfbTWFhIYqiGF2bdeNX/ZiqqgiCwIYNG3jllVcumU+SJM6fP99vzLKyMqOuq7Ky0nhfPB4PRUVFyLKMJEmcO3fOyLrz+/2cOnXKOHb+/HkaGhouiUWWBNryk5CWToFTf6DHE6KwsMiI5dy5c8a1u91uYz5ZlqmpqTGOBQLa+6kfq6qqora21oiloKAAURSNY3rmpMfj4VRBIWrYrS0T6g09V9+Kpy6bwtLzSGIYSZaprKw0ztPHDIfDyAOOCYJAUVERkiQhyzJ1dXXGtfv9fuP3J8sytbW1Rmdtn8/XL866ujqqqqqM6yssLCQUCiHLMtXV1cZ5giBw6tQpBEEw3pe+YxYWFhqx1NTUGLZmXq+XnTt3UlNTwze/+U2efFJ72lBVlUAgQFlZGYIgoCgKDQ0NZGVl8eSTT+LxeDh9+jR+vx9FUairq+P8eW1/NxgMUlhYSDAYNK5B31P2+XycOnUKURSNMc+dO2dcX3Fx8aDnCYJAaWkpgUDAsNnSj4XDYQoKCvD5fEbXaX3MUChEQUEBwWBwwDEVLuw2sgaV1bfTeC6PivM1xnlFRUXGmPX19Zw9e7bffH6/H1VVaW1tpaioiLfffpvq6mrKy8uN+Zqbm4049Vj0vZ2amhruu+8+I3PwkUcewe12o6oqzc3NxndYOBymqKgIj8eDqqo0NTVRXl7e75jP5zOOVVRUXHLtqqrS1tbW7xrOnDljjNnW1maMKYqi8X2qqiotLS3Gd60oihQXF9Pd3W0c6xtncXGxMebFixeNOf70pz9x+PBhI86+39+iKHL69Gm6u7sBaG9vN2rV9O9hfb7W1lZKSkqMY6WlpYYZeltbW79jfcccCVcUrbNnz5Kamgpof8xr1qwx3rySkhKjVsbn85GWlkZFRYWxTKHvx+jH9A9HZWUla9dqLe8DgQBr1641Lqa+vp4VK1YYxzIzM40vkMrKSpYtW9bvPF3EaioKaHjnRkh0EUyZxbZ3vk/J2XrjGvQx/X4/q1evNn6RtbW1JCQkaKIVbMez+j7IuA1V9HKhqZUVK7TrCwaDbNmyxfhFVlVVkZiYaMSSlZVlJE1UVVWRmpqKoihG6xU9aaCuro6kpCREUSQYDLJhwwby8/ONa09KSjLOy8jI4ODBg8a1JyUlGbFs376dgoIC47zVq1cbfXG2b99uCFxDQwPJycmEQiFCoRCbN2829g/b2tpYvHixcWzLli3GMSMWVUUUApRu+zPBdyejFr5ITUMLyckpgGq8L8ePHzeuLyUlhXA4jCAI7Nmzh9zcXED7sK9YsYJQKIQgCOzcuZMDBw4YsSQkJBAIBIxjhw4dAuDChQssWbpU62fsqTSWCdWkqTSt+AzLUpYRDIUvOU8f0+fzIQgCO3bsMI7p1jXBYJBwOMyhQ4c4evQooN1wpaSkGDcP+/fvN1rnNDc3k5iYiN/vJxwOc/DgQXbu3GlcX3JyMj09PYTDYfbs2cOePXsA7eZo8eLFeDwewuEwe/fuZe/evYC2/JeQkEAwGEQQhH7H2tvbWbduHR0dHXz1q1/lySefRJZlVFWlo6OD9PR03G43kiSRnZ3Nyy+/zNNPP01bWxupqam0tbUhiiKHDh1i69atgHZTlZSURFdXl3Fsx44dxrUvWbIEv9+PKIpkZ2ezZcsWI5aUlBQ6OzuN87Zv3268n+np6bS3tyNJEnl5ecaYPp+PhIQEWlpakGWZY8eOsXHjRkC7GUtKSqKzsxNJksjJyWHjps1AGPL+U1saTJ6BeOQZcvNOkrVxszFfSkoKFy9eRJIkjhw5Yozp8/lYunQpra2tyLLMqVOn2Lx5M62trXR0dJCWlkZXVxeyLHPy5Ekjzp6eHhISEmhra0NVVfbt28fUqVMNo9wvfvGLdHd3I8sy+fn5ZGRkGN8pKSkpNDQ0IMsyubm5rFu3DtBuOpKTk2lubkaWZfLy8oyO293d3SQkJNDR0YGiKJSWlva7hrVr19LY2IiqqpSWlrJ+/XpjvpUrV1JZWYmqqhQUFLBy5Urj2LJly6iurkZRFAoKCow4vV4vy5Yt48KFC8Z3tN4ZvaSkhOTkZBoaGoxjuoWcvh9YU1ODqqqUl5ezZs0a47svIyOD2tpaVFWlpKSEtLQ049jKlSuNG5SysrJ+Yy5fvnxUnrPjY3lQlaHpAKyYo+15rP8oBJpGPo6zPDg4+vKglXtaOkoYKlf3LhMunwsVg7cwGU90dHTwla985bJt3lVVpaysbHzsaQUu9mYNLp8PNetjOr2iKBw5coQZM2YYnoMLF47/5eh4wHLR0gvb9KWZ0Q0SgKK/RDZsp46soLgvNkrEUFWV9vZ24wnUUuyQiNEHVehB2vsU6nu6N+Ht496bcLiiNS4SMRQJGnZrrjZLXZD5EfCNrZC87zLdcJAkiY0bNxpJGNdcc010GtXaAH3pOhQKWR3KsLBctARB4ODBg8YS0qgItsK2R7SU6JR5cC51dOPYSLRkWeb8+fP2cDK3mWgpikJHVTadS67Vkm6GaGEynujo6ODLX/6ysac1GONGtPoVFE/XXFHGSCAQYPXq1bS2tg7r9cFgkNdff72f52BT0yhWb+IAn8/HqlWrnJT32KFCa67WGC4h4gjuqx/dUDYSLVthM9ECItmEa/pkE86F0netjipqdHR08LWvfY1//ud/HvI140a0/E2Q9TFtqT9lHtRuiHkIHo+Hf/qnfzK6FX/qU5+KeQwOgxP/oiUFofiNSEbZNNj/xOhtfhzRGhw7ihZoLUwOP9PbwmT17dA1/hy4QXu6dLvd498RQ5Xhwp7e0pV1H9b2t8wYegQu5h0dHUbjx2nTpvG9733PlBjsSrw4vIMNRCsYDLJ161Yji2zkA7TClgcjXoNz4Myi0QdjI9GSZZnS0lIjY9BSbCZakiSRf/IkK9NXQ6gesj7ee9Ny4Dta/6UJyLgQLdELRyPuJ4kztBIHE/D5fCxevHjYS3wVFRXMnTsXl8vFrFmzePnll02Jw454PB7efvttx+V9uCiKQmdn56jy9VFlaD6keQ0uccG6D2quGKPFRqKlqip+v9+o4bIUm4mWqqp4PJ7I/oQMdZt7rX5S58KZJVaHaAnjQrS8dbD2g5poLV9gWtagLMs0NTUNq62IJEns2LHDSHefN2+ekTY+HpFlmcbGRnv07hsGlovWmJCCUPJm5K5sCuz68tjGs5Fo2QqbidYliF7I+VXvMmHGndBVanVUMSfuRUsJQ2V679Lghk+COIyO4yYTCoV4++23jSSM66+/3qhDdLAey0VLkiSqqqqorx9F8oTQATu/GMkaHOPSINhKtPSUd92Rw1JsJlqKotDS0tK/g6ynGjZ8KrJMOAV2fQnE+HCtNou4F61wDxz4XqSgeCac+I15Q48g5d3r9fKTn/zESMK4++67DfeS8Yie8j7SXmNWYblohUIhdu3axZEjR0Z+cs8ZWD5HWxZKfx90lY8xGPuIlizLlJeXG9XllmIz0ZIkiYKCAsNVBYjEuBlSpml36SlXQ9H43YcYjLgXLU8lrJir/f5WXKdlBZuEz+cjJSXFsD67HO3t7Xzxi1807JseffTRuPlCHw1er5eEhIQRt22xCstFa9TIISh7T7uzTpgCO/5+7EsJNhItW2G2aCkSdBRC2Tva8m7DDpBN+JIVvZD7fOQz4YJVN0PrxFnWiWvRkkNQ8lafv+fHtC7kFnDu3Dk++MEP4nK5mD59Ot///vcticNhcGwhWrqB6ogQumD317SlhJSroeB/xh6IzURLN8C1HDNFSwpC6TuQdh2k36wJy8ob4cB3tRT24YYUMRy+BHclbLi3t6fazi9qy04TgLgWrVBHH4OAq6HEfMskSZKumNqtqir5+fnMnj3bsG967bXXTI/FbgznvbELlouWbig7YouUrjKtkHiRC1bdCBezxx6MjURLlmWKiop47z0b+OqNVLRUBXrOQtEbIAv9f34xG9JvgoKXtKcrRYTqTFj5vmHfeIiiSE5ODsnJyYPMLWlPbkkubdk4aRac/MPwrjPOiVvRUmVoPgyps7Qs4NW3aTcfJuL1elm4cKHR4WAoJEli8+bNRhLGggUL2LVrl6mx2I2enh5ef/11J+V9uMiyzMWLF+no6Bj+SYoI1Wu1L6UEF2z8P1rm0VixkWjpad2jSlAxmxGLlgQ1G2DpXBD6PD0pYahed2mWZ9it1eZs/dywwlFVlZ6eHqPlySXoy4RLItmEq96nlUaMc+JWtCQ/5L2grZokjcE79HJTSBJ1dXVX9NcLBoO8/PLL/TIHdZfy8YokSdTW1iKK8VHfaLlojQrRB7m/gXcjWUY5/2bOuDYSLVsxYtGSoWGnZsEjD8OEU+iCfU/AgX8ae6w63jrY9JnIMuFk2PqgNs84Jm5FK3hRq7FcHLFtqom9bZOOx+PhmWeeMUTrQx/6kNFfy8EeWC5asixTX18/MjPKYCtk3qPdSacugNosc4KxkWipqkpXV5fRMM5ShiNaqqwJRfNRaDkCRa9A8tWaJc/FHGjNA2GQvSUlrC0PZt497NoqRVFob283mhoOHo+ixZE6W3siT54Jx026ubEpcSlaiqh1pF7qgqWTYMMnIHDlDL+RojeU9fsvn6zV2dnJAw88YPTQ+ta3vmV6LHYjHA5TWlo6rMJrO2C5aI3cxknVvgCTdG+yD2g1OmZgI9HSbZwG3beJNcMRLf3p96+u3mVb/Xe02AVJ12idaAeO23QAdv8jtOUPOxxRFDlx4oTR+G5IpIAmnksicaRdrz0BjlPiUrTCbtj3nYij+0xtWTcKDNfGqaamhuuuu86wb/rjH/8YlXjshGPjFG2kABT+JbJfMU1b/1ZNyrCzkWjZimEtD6raexa4qLl0n1sOyXO0DfVgKwTb+u87KpImIJs+A6050Ys91AG7/qF3mXDjA1G5k7cDcSdaqqLdgC6fp/09r7ze1NqskSJJEjt37jQaP86bN8/o0OtgH2whWqqqDj/dMtQFO77Um+puZgGp6aKlans6UmBUvZ5UVUVRRulYbyaj2dOq26rtT4iDOBDIQc29ZN2HR937bNjvjapC20lYsSByozMTcn4xqjntTtyJlhSAwj/12rDteCyq0ymKctnvmVAoxMKFC439rFtvvZWTJ09GNSa7YIvvmWFiuWiFQiG2bds2zOVBFTqKYNVN2p3zyhvNLR41TbRU8NTA0Z/AivmwbLr2RFG9btgjxN3yYF+Gyh6EyJLdq1ot1Sh/d5IkkZ+fz6pVq4Z3gixARZKWSZgQad9eNf7uoONOtAItmk/kkkiHhrMpUZvK5/OxZMmSyxpQ+3w+nn/+ecO+6dOf/vSwm0bGMx6Ph3feecdZHhwusixz4cKF4bmZy4J2Z744ksqcde/oe2cNxkhFS5G05IKBMQQuwp6vQcbtUJGspecf/GdIHX5mlKqqdHd3Xz7ZIFaMuLhY1b6Q6rf3bxOi90pKnKQVFe/5ulb8u+Mx2P4lOPnfwwtHUejo6BiZH5zQBQf/qddUd/09Y27hbjfiSrQUEaoiZStLXVp7GX/0OhqIosjZs2cvmwnY1dXF17/+dcO+6bHHHoubgtuxEA6HKS8vt/9nJoLlojUiwm44/EPtiyd5Bhz9F3PHH4loqSo0H4HUa8Hf0PtzRYLazZonYmdx78+Fbtj/FGx92NyYY4FZjhiKCI37YN9TcOifYf93ev/texKKo+w80FMBGXdEbnqmw6Gnzb3psZi4Ei2hE/Z8Q1vmT7RHZmdlZSV33XUXLpeLGTNm8LOf/czqkBwGwXLRkiSJ6upqGhoarvziYCus+5D5qe46IxItBZoOQ9LV4Kvv//NAs1bh3xfRrz1JZN07rFB0l/eSkpKRXEF0sJlhrqIoXLx4kTNnzozwxDBUrtISMpa6IHV+VJekYk3ciJaqwMWjmgPGUhesugHaT0V1ynA4THFxMV7v4H/XqqqSl5dn7GfNmTOHxMTEqMZkFwRBoKCg4IqF13bBctEKhULs2LGDQ4eu4FigKtByFJKmaB/0zA+Du8rkYEa4PHgxF5Jna8WRV8LXAJv+z7CfJmRZpqysjNTU0SUqmIrNREt3eV+9evXITxa9kPPL3iXmjDuhe4zdAWxC3IiW6NfKI96L+EPuN98BYyA+n4/ExMQhtyFEUSQzM9MQrWuvvZb8/OGXYcQzHo+HxYsXj64RrwVYLlrDRvJrfnW6EerufzC/rfqVREsOwdlUWP1BbQ0+405ImqwJ6PqPwYbPwoVB6oCEbjj+75D9L/29+OIFm4nWmPE29HHLmAp7vzEuem/FjWh5ajR/wSWRp93qtVc+J8r4/X5eeOEFQ7RuvvnmkVnLOcSM+BGtUBRc3S+Z4wqipYhaMezRX0Lur2HftyFpmpYlmPs85P1Ba7nRl7Abjv8ajkenaDImjDfRUiW4sEvrvaWb6p4aXhKInYkL0dJbCi11QULEXit85caM0aarq4tHH30Ul8vF5MmT+exnPxs3y2UTDctFKxgMsnnzZvbv33/5F/achbUfiKS6XxedPkkjXR5sPaEtD4baBz/ub4TDP9IMYoWRPXrLskxJSYk91tVtJlq6I8aYGmSKPsj7z97eW2nXa00k45i4EC1vPWz8dMRn8Go4HZu2H16vl/fee29IR4yWlhbuvPNOIwnjpz/9aUzisgNut5u//vWvzvLgcJFlmYaGhsunvKuSlj79/9k77/AoyrWNb0iDQEhoSjvYPg+gCCKIosfCwSPqkSLIwS5HseCxgqIgYkUERKnpnRJqQELvoaYRQgIhlfS+KdvLlPv7YzKT3WQ32d3szkzC/K5rLyWzM/Ps7OzcM+97P88TwNqVR7pmmM1uI8YpILAnU3PPfCFQd43pD3T8P3YLFtBce1AUFaZFJlps7cG8vA7OaapKGTfnRhkQ6MaYZJQiqKrvIKIXLcoI5G5tnk/cMgxQFPKy67Ys7zRN4/Lly1z5pp49e2LVqlW8xCUGDAYDrl27JtUedCpGFZD4TVPrAm/grIusqHY9adFATSqwbxLjajRFXQrET2aMFxUJjDOq6iLzqst0TeyuRGSi5TxooDaFyRnbJAOCvZhcrk6K6EVLVwv89RQjWiHdgYufCR0RAEbQdu3aBQ8PD8hkMvj7+2PHjh1ChyVhBcFFiyAI5OTkoLCw0PqbtNXA7gebupr6OVz6p12cURGDIoCCuKaLYNPQE5tAuVEGxD1s02ZomkZ1dTXS0tIci8OZiEy0KIpCeXm5c9IBSD2QFdRc5DesN1M9oxMiatGijEyKSrAbc6w3DwWqE3nbvcFgQEpKikXLu1arxfLlyzkTxl133YUrV65Y2ErXRK/XIykpqdPM4QkuWjqdDgcPHsTp06etvKOpdFNET0YItt0NyF2Uu+SUMk4043RUlTCFY1u+dLY5kljLe2RkpINxOBGRiRZred+2bZtzNmhoBBLmmdvgqztfzTlRi5ZezlTzX9/0RHvmHV53r1KpEBISYnEaorGxEa+//jpnwnj00Uc7zQXcGSiVSmzatAkNDRZaB4kQwUWrXUg9kBXa9MTizpT9oUnX7Euq8m4ZkYmWS1AVAbsfaprfcgfi/wkYOsePmEW0okVTQMVp5vwJlAGRfYHKc0JHxVFRUYFHH30UMpkMnp6emDNnjtAhSbSBKESrzSrvBgVzF7yeh3FwEYqWKGqfiVS0nHpsaJIpMRXes8nw48K5UxchWtEyKJiSWRua2gkdn82UQeMZa+dLdnY2Z8Lo0aMHvv32W54jEx5RXGdsRHDR0mq12LNnD44dO2b5DeqS5kTQiD7ATRe24haRaJEkifT0dAQEBAgaBwDRiZbRaMSlS5cQERHh3A2TWiDjT+ZpIFDGFDjuRGWeRClaNMV0ro7wZW4GovoBxQd4D0OpVGLt2rUoLS01+ztJkjh27Bg3n+Xn54ft223vxtAVUCgU+P3336Uq77ZCkiTKysostwCgKaDiHFN1IlAGxN7NCIurEJFo0TSNhoYG+yqZuwqRiRZFUZDL5W2bdxzF0AicbHoqCGyyZVcK15jQHkQpWkYFkPBe01NWUyUbASAIAnl5edBqtWZ/12q1WLVqFSdat912G3JzcwWJUSiMRiNycnJgNDq5wpCLEFy02oTUMc0CN8iYyhNHX3Lt/kQkWqJCZKLlchqzmZwtttvx3kdbpzWIEPGJFg3UpgLhvZinrDB/5jwSEY2NjXj11Ve5HloPPfQQFAqF0GFJtIHgosVa3m/evNl6oaEBONHUAymkJ5D2i2uDEZFoSZb3NsJxpuXdEjTJJI5H9G4q8+QNnJnLJLmLGNGJlqEROPPf5qesQ88LdgytWd7lcjkefvhhyGQyeHl54fXXXxckPiGRLO92otPpcPjwYSQkJLReqCoCtt3J3PFG9WcaCLo0GPGIFkmSyMrKsr07rysRmWgRBIHLly+7NgGU0AJX15jkb/Vyfb+vDiIq0aJJpk4n+5QV4QcU7BQsHLVajfDwcFRUVJj9/caNGxg6dChnwliyZIlAEQqHUqlEcHCwZHnvMBQBFO4DQjyaOpuOslAuycmISLREhchEizcMjcCptxjnKmvVLtwndFRWEZVo6euBozOb248INJfVFgRBYN++ffD09ORMGJs3bxY6LIl2EIVoWbS8Exrg8s/NQwvHprs+EBGKliisqCIVLV6OjSKfqWLC1ifcPpJJdhchohEtygjk72x2YUb2Z566BKbl+aLX6xEQEMCZMP72t78hObnzJZU7A1FcZ2xEcNHSarXYv38/Tp48ab5AJ2daf6yXAaG9gPTVrg9GRKJFkiQyMjIQEhIiaBwARCdaBEEgOTkZ0dHRrt8ZTQHVScDmIUxFlqBuwF//cKgIsqsRjWipihnzygZ2PvBd4WJhQ1KpEBAQYFblXaVS4fPPP+dEa9SoUZZdzF2cxsZGrFu3TqrybisURaGqqqp1w7XGHGDrHcyFIrI/UHnW9cGISLRomoZSqURJSYmgcQAQnWjRNI3GxkarbSacDmVk2paYJh4n8FuGyBZEIVqs45ebC/QFboQJE4sJBEGgqKjIzGxQU1ODSZMmQSaTwd3dHc8//7yAEQoHQRAoLCyULO8dgqaA8tPMSR8kA3aMAPQ8JL6JSLREhchESxBME48DxGnMEIVoqQqZvndsG6EQHyDtZ2FiaYe8vDz06dMHMpkM3bt3x4IFC4QOScIGBBctkiRRUlJi7uohtMxw4Iam4pqn3uInGBGJFk3TqK+vR05OjqBxABCdaFEUhdraWv4Tr40K4NxHzY0jI/sAuTwMUdqI4KJlVAPJS5sLD4c05VcemyV4uoDRaER2djbXT4uiKJw+fZobGvT19UV4uIu6R4gcg8GArKws4c07NiK4aOl0Ohw5cgTnzpkU0NTXA0dnNOVn+QIZf/AUjHhEi7W8b9myRdA4AIhOtAiCQFpaGnbt2sX/zjXlTNFm9sIcPRgo2s9/HBYQVrRopm9c9G3MU1aoJxBzO/P/24czx01AWlre9Xo9AgMDOdHq37//LdWOxBSlUonQ0FA0NjYKHYpNCC5aFlEVA1vvZi4Mm28Hyo7zs18RiRaLKFw9IhMtFsGOTUM2sHtsc6mn7X8HGq4LE4sJgoqWvh44NrPpRtMdiL0L2PUAI1rhfVyfY2kDpueLUqnEvHnzzEwY1dXVAkYnLKK4ztiIKETLzPJOEUDxYSCsB3PC7x4L6Hgq5ChC0aIoSugQRClabXYGcPnOKaa1RszgZkfhvomuzyNsLyyhRIvUA9mhzeaL6P7MMGGkP/PvkB5AsvCV003Pl9raWkyYMAEymQweHh6YMWNGpzEiuAJRXGdsRHDR0ul0OHr0aPPwIKFhJrg3NuVnHZnKYzDiES1peNA6gg4PslBGIH87EOrVZDpwBw5MtrnJpysQRLRoCqi6xAwLbmoyXpz/H3AjuKkEVtOxOfgvfuKxglqtRmRkJCorKwEAaWlpGDx4MGQyGXx8fPDDDz8IGp+QSMODdkKSJEpLS7mTCbo6pjAum591ZSV/wYhItNgq73l5eYLGAUB0osUaMQoKCoQNhNQCmeuagZgCgAAAIABJREFUmxsGezOmIUIjSDiCiJa+DjgyrakIgIwpNKy8CZx+p8lIxTqAhzNthgSCrXGq1WpBEAT27t0Ld3d3yGQy9O7dG1u3bhUsNqExGAy4ceOGZMRwGOVNIPZe5q4toj9QfYm/fYtItESFyERLVBiVwIVPmx2Fwd5AwrsAxf8FgHfRInXA9YDmNIDIAcDNPYyQ7XqAOSbBrNOyn2hKYOl0Oqxdu5abzxoyZAiSkpKEDkvCRgQXrVb9tCrONJd/2TXKtf2zWiIi0WITaKV+WhbCcWU/LXshNEDaiqa5G7fmOZxLC5mhMx7hV7RooCYViB7YNK/nzfTNApjfMNv0kX3SCvYBUoUbgiMIArm5udDpdFCpVPjggw840RozZgz0er1gsQkNmw4gPWnZiFarRVxcHI4dOw6AYIZbuLbcLzPVovlCRKLFdi4ODAwUNA4AohMto9GIxMRE53cudgR2eCzSn2m9wd5wBfvwfqx4FS19HXB4qsmw4AOAupyZ68vc2FxkmBWtwKb5aUqYfC2lUol169ahoqICdXV1nAnD3d0d//73vwWJSSw0NjZizZo1Uhkne6AoChQN866xIT2BKy7un9USEYkWwFyESJJH0baGyEQLENGxacwFYv8OBPsBOZFM8vGmpgt2qA+Quoy3UHgTLUINpP7Y/Dkj+gB5TXNCBgVw7mOmKECEDxDsxphVInoz812aStfF1Q7s+ZKfn49evXpxlTC+/PJLwWISCyRJdhrbuyhEi0NZBOwYyYhWzO1A2TF+9y8y0RINIhQtUUCTTP5RiAcQ3ANI/Z6xf596ozmHK7Qn83e4/oLAi2hRBiBvGxDS5JoM7gFc/MxkuRGQXwHKTwIZaxjhOjaLcRhWngMIlWvishG2HQk7NOjv74+4OHF1U5ZoG8FFS6fT4eDBQzh95iwgP9fcNG7n/YC2hudgxCNaJEni2rVriIyMFDQOAKITLYIgkJqaKrzji9Qx1VrWN+VqxT/N/F1bA5x4xfyJ69JXjKC5EJeLFk0yhavZ/LRgD+DQc8wISav3Uk1zW72Ai587PxY7UalUCA0NRUlJCX788UczE0Z2drbQ4QmKQqHApk2bpOFBWyEIAvn5BSguvAnkRTTlZ3UDDj7DfzAiEi2aplFTU+O6lvL2IDLRoigKFRUVuH5d4CoU+nqmfQ5b0mnrHUz/LQDQVgEnXm12FQZ1B85+CJCus8O7XLRUhcCeccxnYm8sFblWgiGZSjYRvuZPYgJhMBhw9epVVFdXY86cOZDJZOjWrRueeOKJTnOxdhUGgwGpqalmFfDFjOCixWFUAGc/AtY1JSim8DcXwCEi0RIVIhMt0aAuba61F9Q0t5O/rXm5rhY49XaTu04GhHgzc7Yu6ljgUtHSVDLDfKxAbxnWdmNHkYkWS1lZGcaMGQOZTAYvLy+89tprQockYSeCixZBkigsKkFpbjKwdyzzowjrAxTu4T8YEYkWTdOQy+XIysoSNA4AohMtiqJQXV0tbAV8dj4rSNb8Cm6yupuikwNnP2h+4gr0BI68ACicnxjtMtEyNAKn/2tivPBrv0eWyESLIAhcv34dR44cQd++fblKGL/8wrPZS4SwT6GdxfYvuGhptTrs3bsPx7etAGK6Mz+KrcOARgEqQYhItCTLu3VYy7ug832EptlBxwmXB3D4eaa1jilGJSNmbH+4IDdgx/1AqXONRi4RLW0VcHpus2CF+ACJX9sQjLhES61WY/369fj111/NKrsfPnxY6NAER6FQSJZ3u6H0QE5Ic73BQ88JUwpHRKIlKkQmWqJAXw8cntZcqoit/LD1TkBh4YbLqAKSFzflLLGFZQcxNfqchNNFS1sDHJvTXAg3yAs4+Yptv02RiRYAaDQa/PDDD5xo3XXXXeZ9/CQ6BeIQLaMSuPi/pgtADyBxkTBxSKJlGUm0WtOQxXTo3dhCtELbGNomdcCNEGZ4jZvn6g4kfOCU/CWnipa6FDg6s/kJK9gLOPWa7b8LEYpWQ0MDXnjhBchkMri5uWHChAlChyThAIKLlk5vwIkD23H1p75AqAwI7w3cCBUoGPGIFkmSyMjIQEhIiKBxABCdaBEEgaSkJERHC9Q1mCaBspNAVD8gwh8I9WBKOEX2BqKHAJd/tL4uZQSKDwLb728WrgB3YM94oPxUx8JylmipipiK9ZxgeTNzWvbkWIlMtDQaDb7//nv06NEDMpkM3t7e+OCDD4QOSxQoFAqsXbsWdXU8tYDqIIKLFkkSqLj6FxrWezfZhv8G1Alk8xaRaNE0jdraWmRmZgoaBwDRiRZFUaisrBTWpEKTTN6VppzJz4ruC9RnMKJEticYNGONP/yiiXDJGNFL+d5hd2GHRYsV1F0PmghWd6amIGXnJL3IRMtgMCAqKoobGvT19UVQUJDQYYkCvV6Py5cvS5Z3m6GMwM0dzeP8ceOEi0VEoiUqRCZaokIvZ55KovsxJZ3sQVvDmBpCuzfb5oM8gL+eACoS7A6lQ6Klb2Aqd0T0ap7DCunO9MZqV4QtBSNu0erXrx/OnDkjdFgSDiC4aNFGNYjEpU35WV6MU0koRCRarOVd8ARaQHSiRVEUqqqqxFHJwEy0HLDgU0ag9Ciw99Hmp5sAGRDuwyQjy20fdXBItCgCKD8N7J9kvv/NQ4CsDphERCZaSqUSH374ISdaI0aMEL4fm0gwGAxIT0+XLO+2QunqoI9/kTFhhPkC1zYKF4yIRIskSWRmZiIsrJ18GD4QmWgRBIGUlBRs3rxZ6FA6LlosmiogZSlTWJYdMgx0A2IGAmffB+qvAVTbBYLtEi2aYoYokxYz+2Sf9II9gPh/ArXJjn8WQHSiVVlZicceewwymQweHh6YOnUqCEKYivNio7GxERs2bJAs7zajLmfysjbJgMj+QNUF4WIRkWiJCpGJlqhwlmgBzU898ZOa57m4Bot+TDWNwr1MpQ0L2CRaFAFUpwCXvmSqebBPV2yNxMSvmErtHUVEokXTNDIyMnDnnXdyld0//fRTQWOScByBRYtmqj8HN/0wd49hREwoRCRaNE3DYDBAq9W2/2ZXI0LRomkaFMVvk0WLOFO0WIxKIH8nEPcIU0GefQoKkDFOxe1/B069DhTsAhqyAU0ZYFSBBpCWkYMXps+Bnj00hAZQlzEV1q+uYmp6RvY1mUOTAUHuQNx4puuws6rRi0i0SJLEwYMHuaHB3r17Y8uWLYLGJDZE8VuyEWFFi9QB19Y3DYd4AqdfETQc5gI0iXnyA3/juzRNQ6VSIT09Hdu3b8eKFSvwzjvvYMaMGXjhhRcwd+5cfPbZZ1i6dCnCw8ORmZnJ79AGTQLl8YxopS7lb79WIAgCV69eRWxsrNChME6/Q/8CYvoB2kLnbpvSAyW7geP/BqI8gQg3IMxEwDgR+z9GOE/PRfX+udjzzQiQFxYC5z5gEvW3/918nRAZEC4DIjyA3SOB7I0A7eyWIRRQk8CI1qUvnLxt+9Bqtfjtt9840Ro8eDDy8gSouCNSVCoVgoKCoNEIUNDBAdoUraioKJe9IqNisDU6HGUxTwFBMhgDPZG06VmExux06X6txxONbZGBqAoZDnVIX2yJDERE1GaX7Gvr1q3YuXMnduzYgZ9//hn/+Mc/MHToUPTt2xceHh7cj8vSq1u3bujXrx+GDx+O6dOn49tvv0VsbCx27tyJrVu3uiDeaERFReJUxCegg7shI/xFhEdtE+Q7Yl8RERH4/fffsWzZMsTExAgWR2RUDLZFhaAiZCT0wb0QF/kbIqKd+R1EI2rzNkSGBWLr6ndx4Js7cflrGepXy0xKQpkMIW5q+m+YjEl6Zv8d2Pw+aoMMZctlOP+VJ/b88ASiNy1HVMw2REU78zhGIyoqGkcjvgIR0h1ZYc8iTKBzJjo6GkFBQRg/fryZaEVGRiI6Olqwc0dMr5CQEHz99dcICQkRLAanidaCBQtc9vrii4VYtvBdFPzeHwiTQRfUA7G//gefLPjapfu1Gs+ChVj61f9Q8OcQ1G/qhcVffozPF3zltO0vXLgQ33zzDT799FNMnDixTWFy5OXh4YExY8Zg/vz5WLx4MRYtWuSk47IACxcuQOSyqaCC3HDi1wn45AvnbNvxc+cLLFq0CIsXL8YXX3zh1O3a8/r8i4VYsuhT5P7xN2gCemDF13Px2YJFdm+nvdeCBV/iiy+/xsKvFuOPX5cgcfs3aNj/CnRb/g46rKdJS/um/4aazFMFyYAQdxhi7kT93ukoil+IA+FL8dOyJfh84WJ8sfArfOHAZ2/7tQALFixE4NJZ0Ad64exvD+HjL4T5XS9cuBDvv/8+vLy8uN/JuHHjnPb76AqvhQsX4ttvvxU0BqeJlmuhgcYrwJbBzF3hlr9ZrtnGJ2bDg85NtDMajTh+/DimTJmC3r17w83NzaL4eHp6YsiQIRg9ejTuu+8+DBw4EBMmTMDIkSMxZMgQeHt7W1zPzc0Nfn5+GD9+PAICAlBT48QGmjQBlP7FDA+mfOu87ToaDk2jsbERRUVFQofSPDwY3Q9Q82OhJgEYjQQofT1oTQVjiy+MA52xBpXxHyD2q5Egk5YBGb8D2ZFATQpoXQMIwgADBfAye0FTQNXppuFB4ZpA0jSN5ORkdO/eHTKZDL169cL69esFi0eMGI1G5Obmdpp5LeFEizIyE8lN7iV6z1jw0ZK8TVgjxta/AYTzjBhlZWX47LPP0LNnT4tiM2jQIMydOxfBwcE4cuQIMjMzuQaQERERMBgMKC8vR2ZmJg4dOoTffvsNs2bNQp8+fSwKmLu7O8aOHYvNmzeDpp1wTEVmxGDLOMXExAgdimuMGA5C00Baxg1MnTEb+rbd8TwEQwLlJ5o6FwtnxNDr9QgJCTGr7C4lFZvDlnGSLO/tYVQDSUuakoq9gYR5goXC4WT3oF6vx7Zt23Dvvfe2EhY/Pz9MmzYNYWFhaGhosCou1v5OURRqamqwZ88eTJs2DbfddlurfXh5eWHq1Kk4ffp0xz6IyEQL6OLuQQdxeediu4IRh3tQpVLh008/5W4Q77vvPimp2AIURTnnBpcHhBMtfR1wiE0qFrBIrilOFK2amhq89dZbrYwVXl5emDVrFhITE0GS7d8O23Iiscm2CxYsgJ+fXyvx8vX1xUcffeR4GwaRipYofmSSaFkJRhyiVVVVhaeffpqbz3r++eelpOIW0DQNnU4njt+TDQgnWpoKYOsdwEYZ9IF9UHf9L8FC4XCCaNE0jezsbDz33HOthuzGjBmDbdu2tb8ROFblnaZpFBYWYsGCBbj99ttbuQ7HjBnjWNM7kYmWNDxoGUm0WoRA00hNTUW/fv0gk8nQo0cPLFokUNsjEaPX65Geni50GDYjjGjRFFB5Hgh2BzbJYNw6Elp5NuoalPjuu+/w+OOPY9GiRSgrK+M3rg6KFk3TuHLlCsaOHWsmGD4+Pvjyyy/tetKhaRp1dXW4ceMGAOaOkT02s2fPxokTJ6yuS5IkUlNT8dprr7V60uvTpw+WLFkClcqOvByRiRY7NJqTw4gETdPIycnBxx9/DKWS56RwF4sWTdMoKirCxx9/jMcffxzvv/8+0tLSrL5XEq1mCIJAfHw8d+77+/vj+++/x6JFi6SnLRPq6+uxevVqPPXUU5g6dSri4uKEDqlNhBEtUs8U4wyQAYEewMlZUGg0eP/D+ejXrx/efPNNjB49GpMmTeI34a0DokUQBI4ePYrhw4ebicQdd9yB7du3dyis6upqzJgxA4MHD8bbb7+NJ554An369EF8fHyb6+n1esTGxuKBBx5o5VCcMmUKkpKSbAtAZKLVkps3b+KZZ57BgAED7BNjZ+Bi0aqpqcGsWbNw++23480338SYMWMwYsQIKBStSy1JomWORqPBsmXLuPO+e/fu+Pvf/45BgwYJEo8YUSqVmD9/Pvz9/fH666/j2WefhZ+fnzj6+FlBGNEyKoELHwMbZaCCvFAdNxuXLmfhsccew+7duwEA+/btQ69evVBSUsJfXA6Kll6vx+bNm7lhCHY4bvz48bhwwbFaijRNo6GhAfn5+bh27RoeeOABJCQw7SqqqqowadIkTJ8+3abtFBYW4q233mpls7/jjjvaFT4AohMtiqIgl8tRVFSE9PR0jBs3DuPHj8ftt98OtVrNbzAuFC2appGYmIj/+7//w969ewEAiYmJGDFihMVqIJJomVNfX4/Jkydz53uvXr0wfvx4DBs2TJB4xEhZWRkmTJjATVs0NjbijTfewLhxAraIagdhREtTBex/Gtgogy7MB8fWv4KES8yYqlqtxpo1azBp0iR8/fXX/E4OOiBaRqMRe/bsMbOze3h4YPLkybh586bDoZAkiatXr1psVFdXV4eXX34Zc+fa3sZFr9cjMjISw4YNMxOufv36YcOGDW2vLDLRMhqNSExMRExMDIqKihAYGIhdu3bBz8+vS4kWSZLYv38/+vfvz9mRq6qq8NRTT+HLL79s9X5JtMwpLCzkXLXe3t547bXXEBERgb59+woSj5ihaRoEQUClUuHzzz/H5MmThQ7JKgKJVjawZSiTo7V1EKC8wWVolZWVYfbs2bj33nsxe/Zs5ybJtoedokVRFC5cuIA77rjDzB34yiuvQC6XuyREo9GI3bt344EHHrC7qzFJkkhJScGkSZPMhKtnz5749ttvrffTEZlosbCWd4IguqRosZ/L39+f+1zV1dV46qmnLLaKl0SrGZIkceTIES4Z39/fH1u2bMH27dvh7+/PezydAZIkkZCQgFGjRuHkyZNCh2MVXkVLp9Nj167dCFwyGwiXgQqU4ebqPti7Z1er95aVleHJJ5/Eu+++y2OAtosWTdO4evUqRo4caTZXNGPGDDQ2Ntq9a61Wi82bN+Orr77CN998g6+//hrfffcdjh49yr3HaDQiPj4eY8eOxb59++zeB0tNTQ3eeOMNM+Hy9vbG3LlzLRsZBBQtgiBw6dIlrgzWN998g8WLFyM4ONjsPTt37uySorV79+5WovX0009LotUOWq0Wq1at4s7vQYMGISkpCdu2bYOfnx/v8YgdkiRx/vx5PPzww2a/LTHCq2iRJIXCglxkx33OlG4K8UTd7imIP3gE165n4fLly9yPU6lU4vPPP8eECRP4C9AO0SouLuaayrGCNX36dIefsEiSRH5+PlJSUpCamork5GQcOHCAM3HodDqEhITgsccew6FDhxzahymNjY1YunSpmbuQfUqsrW3Rr0lA0aJpGjU1NUhOTkZqaip3bI4cOYJLly4B6LqixT4tDB48GMXFxQCY4cEnnngCP/zwQ6v3S6LVjEKhwGuvvWaWbhIYGIiNGzdKw4MtMBgM2L59Ox577DFER0cLHU678D88aGwEzr0DrJcBIT2BK78AAPLy8jFkyBB8+y1T2+7atWsYP348vviCx7YGNoqWXC7H7NmzzUwXjzzyiMss+hqNBr///jvGjBnj1HwKnU6HjRs3tpqPe/HFF1FdXd38RpEODxIEwY3Fd0XRAoDMzEyMHDkS33//PQBg27ZtGDJkCI4cOdLqvZJoNVNcXMxVdvf09MTUqVORnZ2NjRs3ok+fPrzHI1YMBgNiYmIwfPhwUQ8JmsK/aGmrgZ2jmCet8H5A8UEAjFEgPDwcAwYMgL+/PwYOHIjp06ebXzxdjQ2ipVKpsHjxYrPagSNHjkRqaqrLwsrIyED37t3h5uaG22+/HX5+fhgwYADeeeedDm/bYDBgx44dZsnIHh4eeO6555qdmyIVLRaj0YjY2Fj4+fl1Ocu7SqXC0qVL0b17d/j5+cHf3x+vvPKKRYOSJFpNu6ZpXLp0iRtF8PHxwY8//ggACAoKkua0TCgvL+fMWbfddhv8/PzQp08fPPfcc0KHZhX+RashCwj3ZUwY2+8FWXcdFVV1qKmpAUmSSE5ORmBgIOLi4hyaG+oQ7YgWQRA4cOCAWaX1wYMHm807OQu2kvnNmzdRU1ODgIAAhIaGIjAwEIGBgQgODsbx48edsi+CIHDkyBEMGjTIrILHP//5TxQWFgKgRSVaNE2jvr6eGzKjKAo3b95ETEwMjEYjv8HwUBFDo9HgwIEDCAgIwL59+yzmaAGSaLEYDAZERkaaJdQfOnQIpaWlyMzMFEclFZGgVCoRGhqKkJAQBAUFITAwEEFBQVyKhRjhV7TYyu7B3YDAbkD809Bq67H/wGGcOiWCR9N2RCsnJwf333+/WdFbV01aOlLGqSOwydGmT1zu7u544oknUVxSClQdBkK6iUK0CIJAcnKyOC4+UhknK8EIJ1pKpRIfffQRdx4PGzYMRUVFiIiI4P9JXMLp8CtahAa4soIZGgzyBs50fHjLqbQhWo2NjXj77bfN3Hbz5omgMr0TIQgCx48fx9ChQ5uHCj298OKLUyG/Eg5EdheFaIkKSbSsBCOcaNXW1nKl1Dw8PDB16tROUwxWon34FS1DA3DydcaEEdoLuLqG1923ixXR0ul0WL9+fSvjRWVlpXCxugiSJHHq1CmzJGSf7l749vX7gZjeQPISoUMUF5JoWQlGGNGiaRopKSnw9/fnchB/++033vYv4Xr4FS1VCRA3gXnSiuwLlByAzkDh8OHDXIkiQbEgWhRF4eLFi2Ylmm677TaXzGOZQpIkrl+/LsgQGEmSOHfuHPfE5dFNhhdHyUAH+wBp3/EeT0sIgsDly5exY8cOoUORRMtqMMKIll6vx6ZNm7jf6oABA3D06FHO6OVwe54ujFKpRHBwMBoaGoQOxSb4Ey2aBqqTmE6mATJg82BAUw6CoJCVlSWOxmwWRKukpARPPvmkWcX2ZcuWuTwUiqJQVVWF5ORkl+/LEmyFbF/f3nB3k2HGgzKQQZ7I3zYbRoF7L1IUhZKSEqvVznlFEi0rwQgjWiqVipvPcnNzw6hRo1BaWgqCIJCYmGjVxHIro9PpcOHCBWi1WqFDsQn+RIsyAvk7maHB4G7Avn8wJ7aYMBUtQgWNVodffvnFzAo+bdq0TvPldhSDwYDNW7bA19cXU0fJgGAZ1r/ui2U/rRA6NPEgiZaVYIQRrfLycjz66KOckWjKlCm87VuCH/gTLUINJC9tSiruzlR5BzMUVVpaiqqqKt5CsQorWluHAaQG169nY8CAAZxo3X777bh+/TovoZhWeRcSnU6P4JAwPHaPJ1K+kWHe4zJ07+mHiMhIwWJiq7x3pCCx05BEy0owwohWeno6vLy8WjV9JAgCubm5t8wNpz0YjUZkZ2cLf87YCH+ipa8Hjs4CNsiAUF8gk6ksrtVqERcXh2PHjvEWilVY0Yq9Aw2N1fjwo0/N2hr8/vvvvIVCkiTS09MREBDA2z6todFosGL5LxjQS4buHszxGDJkiNPyxOzFaDTi0qVLiIiIEGT/ZkiiZSUY/kWLrdVo2vSRbb2jVCqxdu1alJaW8hJLZ6KhoQGrV6/mOgmIHf5ES1sJbLunyYTRHyjueP08p6OTAweeBrHtDhzatx2e3j7cMMPkyZOh0+mEjlAwFEolPvpfs4i7ublh9OjR4piLFBJJtKwEw79omc5nsYn/kkh1PfgRLZoCqi8yJ3CADNh5H9CYy8uu7UInBw5OQu3GXnjikTFmPacOHjwodHSCU1VVhenTp7cq98R75RIxIYmWlWD4F63q6mo8+OCD3I3ms88+a73djkSnhR/RIvXAjRAgUAYEdAMOPsMt0ul0OHTokDgs73pGtAp+kqGnd3P19jlz5vAeCmt5j4qK4n3fbZGbm4tx48a1amnCZ/kk1vJuqXsv70iiZSUYfkWLpmlcvnyZa/rY0uWrUqkQGhoqWd4toFQqERgYKFnezTCqgaQlzHxWsDdw9n1uEUEQyM7OFs+k+sF/4sZ3Mvh2Zy7Kd911lyDWatbyfvnyZd733RaWGl/6+Phg6dKlvMZQXl6Oq1ev8rZPq0iiZSUYfkXLYDAgKirKbD7L9KbGYDAgJSXFcr+4Wxy9Xo+kpKROM/3Bj2jpG4DjcxjnYFgvIH01L7u1F0pTA8XmsbixTIZe3jL06MFPTlZnw2g0Ii4ujnNpyWQy9O3bF1u3bhU6NP6RRMtKMC4SLZpiug7Q5smCKpUK//vf/7jz8f/+7/+Ql5fnvP1KiAZ+RKsxD9hxf5MJox9Q3lwclyRJlJWVCW55NxIkUi+eQtJ3PZD/kww+nm4YNWasw00dOwpb5V2sRgetVos//vgDbm5u3IXizjvv5CUZmrW8MxXoBUYSLSvBOFm0tFVA8rfA5qFAeE9gz8NAbgyX61lRUYFHHnmEm89q2VqDIAjk5eVJlncLGI1G5OTk8N8hwUF4EC0aqE0Fwnowc1pbhzE9tZrQarXYu3evYPZplrr6Bsx/93Uc/UiGypUyDOznh9AI4bp4kiSJq1evIigoSLAY2kOpVOKzzz4zqwr/1FNPoaamxqX7NRqNSExMFMd8nyRaVoJxRLQoJp+zxVMUjArg7AdAVF8gbQWQHQmcfhsI7wHcCAMAXM3IMMvPWrLEvEamUqnE+vXrXdaotTOjUCjwxx9/SJZ3DooAbsYxT1nBbsC+iQBpfrdDkiRIUrjqGCRJ4uChw+jV3QNfPiPDplc9MGPaC9AbhK3YwXblFTM1NTWYMWMGJ1xeXl54++23XV5Vm6IocRwbSbSsBOOAaNVfB6L6AbUpphsCqi4y0wpF8c1/NiqB8x8Bu+6HgQYiIs3nsyy5fdlO1xKt6UzHxvWiRWiAyz+ZmDDec/ku7aWurg5Tp041axq3Z0+c0GF1GrKysjB8+HCzROzVq8U5b+l0JNGyEowDolWXCQR7AdWXTDfEDA0WxgOUyU0kqQeygoAtg6DUA/M/ap7Puuuuu5q7bkt0OVwvWvp64OhMk0oY68wW63Q6xMfH49SpUy4PxRJGoxG7du3iWnN7enpi5sxZoChhq8KSJInMzEyEhYUJGoctkCSJkydPwtfXl7twDBo0CIcPH3bJ/giCQEqM5ahCAAAgAElEQVRKCjZv3uyS7duFJFpWgnFAtBT5QIgXILfBrauTAwefBy5+gooaBR406Z/1/PPPt8rPUqlUCAwMlIYHLaBQKLBhwwZpeJBDWwXsuI8RrejbgNIjZosJgkBBQYFgd0ZyuRzTpk3jLrYDBw7EiRMnBInFFJqmUVNTg4yMDKFDsQnWmGFaMePBBx90yUWCoihUVlYiKyvL6du2G0m0rARjg2hRBFByCNgxBtj7CLDrAWYKYef9QNwjwN6ngTwLNyaEGkj7BTg2E6S+DqfOnONumKx1YTAajUhPT5c6F1tAr9cjLS1Nsrwz0EBtGhDVn5nT2jEcaMh27S7tgCRJHD58mLvQenp64j//+Y/QYXVaFAqFWRkd9nh26aoEkmhZCcYG0aJJoDoROPk2kPAecHwWENINODodSHgfSPgYKG3Rt47QAFd+A06+AZA66PUGBAYGSNVrbiFcK1qUAcjdwtw9BbgBeycCpLmaUxSFmpoa1NXVuTQUS9TX12P27NlmJ7yrmzvaCk3TUKlUnW44o6ioCBMnTuSOac+ePbF8+XKn7oOmaSgUCnFUN5BEy0owDgwPKguahgfTLS/XNwBJ3zBmLiWTCqJQKPDWW29x59vw4cNRXl7ealWSJFFSUtK1b6AchD02ojA22YBrRYttR7JOxkywnn6z1Vu0Wi127NiBQ4f4LaBLkiSOHz+OHj16cE8FL730kmgcNCRJIi0tDWvXrhU6FLtgOz2btnQZOHAgTp482f7KNmI0GnH+/HlxpAM4U7RoipnXyVwLpCwDskIAdesLsNXVO7to1WUCgV6MW7Al6lLg2Gxg/5OAorl6TnFZFYYNG8bNZ7344osWN61QKLBq1SoUFxc78mm6NA0NDVi+fLlgOan24lrRMjQyj/Hrm0wYV/+w+DaCIHhX+YaGBrzzzjtmbbldZRxwFJIkhb/4OIBer0doaCh3bLt164YJEyY4tVSXaI6Ns0SLMgLFB4GtdwKb/wbE3g3EDAJ2P8h0/LaBTi9aijxgz3igrkV5Lp0cOPUGM71QcRqozwLk6aBrryDxSLPVvVevXvjjD8vXGJqmYTAYBDdYiRH22Ijlhr09XCta6nLmUX6jDIjoB5QJb3BguX79Onr37s3doU2dOlXokLoUCoUCH3zwgVn+1quvvip0WM7HXtHS1QGpPzA5SaaoioE944BjMxnHLQDIrzK/nwOTbQql04uWxe1QQOU5pjAB+9rU9AqUIf9HmdnwflKSbQIv0XlxrWjVXwci+zAnWMxQQFnU6i06nQ5HjhzB2bNnXRqKKSqVCosXLzarm3fgwAHe9m8LJEkiKytLHLZuBykuLsbDDz/MHWdfX1+sWbOmw9tlq7zv3LnTCVF2EHtFS5EPhHgAN3eb/73+BrMd05Y9lBHI3wFE+DND7e3QJUULYMwXDTnMsWNfygLUF6di9vOPcE/zjzzyiFXbtlqtRkREBCorKzsWSxdEqVQiJCSk07QYcp1o0RTzKL9RBgQ1VcIwKlq9ja3yzmeNvaysLK5Kubu7O/75z3+KriYZTdOorq5Gamqq0KE4DJu/5efn59T6hBRFoaysDOnpVibs+cRe0VIWAZH+tjVBJTRA+ipgxwiAbn/4vMuKlqXN00DGtRsY8rc7uRY5H3zwgdX3GwwGJCUlSVXeLaDX65GYmChZ3kHqmETiDU0mjFOvu2xX9tAyn6h3794IDQ0VOqwui06nw9q1a83qE06aNKnT9O5pl3ZFiwZ0Ncx8VdkxICcKiOjJDBGWnQBKjltfrzYN2PMQkLfNplBuJdEyGo2IjY3lzis/Pz9x1KKUcDmuEy2DginZtEEGBPsAqZZbfJAkifLyclRXV1tc7mwqKiq47qZubm546KGHRPlYLPYq7/ZQX1+Pl156ibvA9OjRA59//rnD26NpGnV1dSgqaj3czDvtiRZNAkUHgbUyIKjpFdz030AZENgDuPRVy5WAhhvA0ZeAPNvbvdxKoqVWq/H1119z59Tdd9/dZnoIQRDIz88X3YiKGDAajcjNzRX+nLER14mWrhbY9zgjWuF+QK7liularRZ79uzhJT/KYDBg8+bNZm4jZ8yxuAKSJJGeno5NmzYJHUqHoWkaV65cwT333GNW1HT79u0Obc9oNOLSpUsIDw93cqQOYMvwIGUE9HWMm7b2ChDZmxEjo4rJPTIrIE0zeUrxk4FrG+wK5VYSLblcjvHjx3NP788880yb71cqlVi7di1KS0udHktnp7GxEatXrxYkV9YRXCdajTnA1juYOa2tw4Bq6/MYNE3zYresq6szu+MfMWKE6J9kOosNtT0MBgOio6PNyjyNHj0a+fn5Dm9TFMfG0Tmtov2tl1FGoDge2DkKuLSI6xVlK7eKaNE0jZSUFK5eqI+PD3755Zd216MoShznjAjpTKkArhEtimDaCIR2BwJkTE0xnWt7LLUbEkUhISEBvXr1gkwmQ/fu3fHJJ58IGtOthkKhwLx588zKPM2cObPTNJ+ziN3uwQIg1Au4ucf875SR+dvOkcy8lwPcKqKl0+mwceNGM6v7hQsXnLoPCfHiGtEi9Uxztk0yILAbcOBfVt+q0+lw6NAhnDlzxiWhsKhUKnzzzTeiLNlkCZIkcf369S43uZybm4v777/fzAa/YYN9w2AEQSA1NRWxsbEuitIO7BUtUgOUnQS0LW7iFPnAljuBIE8g/mngr8eBfY8Bex8FjkwHiPbnYm4V0WpoaMDLL7/MPbGPHTu2XSu7SqVCaGioxRJPtzpKpRKBgYGdxhzlGtEi1EDyEqZ8U0gPILHlRLPJW3myvBcWFmLw4MFcTsdTTz3l0v11FIqiUFVV1akt75YgCAIHDhyAt7c3J1zDhg1DYmKizdvo1JZ3a6iKgIR5wNkPgTNzgdNNr1NvARe/YG4E2+FWEC2appGZmYk772y2ur///vvtrmcwGJCcnCxZ3i0gWd4BZtL58DTGhBHWm2nWJiB6vR7BwcFmNvfg4GBBY7qVUavVWLp0Kfd9eHh44N///nfnbBshFcy1EoxrRIsgCMTHx5v9ljtzAr6E/bhGtJSFwLY7meHBiP4tOpGaQ1EUqqurXVqssbKyEpMmTTIzYBQWFrpsf86ArfLeVd1OFRUVZt9Jz5498cMPP9i0LpsOIIqhHkm0rATjGtFSq9Vmw/yDBg1Cdnb77Y5IkkRxcXGneZrgE4IgUFRU1Gnmll0jWjWXm/NQdt4HaKyPN7u6czFJkjhx4gRXzb179+74+OOPXbIvZ0KSJDIyMrps4jNFUTh//rxZtYzBgwfbVA1e6lxsmVtBtGpra7k8S3d3dzz77LM2radSqRAQENDpWv3wQWNjI9avX38Ldy6mCaDoL+YpK8gdODTFprpprkKpVOLjjz/mLoz9+/cXRWdiCSZH7/fffzerBv/44493rnkHSbSsBON80WKt7ux8aM+ePbFixQqnbFui8+B80SI0wOWfm2oOegNn3nH6LuwhNzcXt912m5kBQ8rVEA9yuRyvvPKKWbWMhQsXCh2W7UiiZSUY54uWVqvFzz//bHYD6sw+bRKdA+eLlr4eOPYyY8II6QVcWdn22/V6HD9+3CV5Fi3zOXx9ffHnn386fT+ugCRJ3LhxQxy2bhfCVssYOHCg2TzFsWPHrK5DEASuXr2KPXv2WH0Pb0iiZSUY54tWY2MjZs2axd2ATpw40eYqDmq1GjExMaiqqnJKLF0JlUqFqKgoUZazs4TzRUtXw+SWrJcBUX2Bwn1tvp0gCOTk5LjEGNHSgHHfffd1qAIDn7BV3tPS0oQOxeUYDAZERkaaDRNOnDjR6hg7RVGoqKhARkYGz5FaQBItK8E4V7RomkZGRgaXtuLt7Y158+bZvL7BYEBqamrndKi6GL1ej+Tk5E5jUnG+aNVfB7bdxcxpbfkbUCNMnhFFUThz5gxX6sXb2xvvvCPsUKWEdRobGzF37lynFdXlDUm0rATjXNEyGo1mdUP9/Py6/CiEhGWcK1oUARQfAEK9mfJNOx9g5rjaWqUpiba2ttapoajVaixbtsys0aOYK2C0hKZpKBQKFBcXCx0Kb1y/fh3Dhw83+872729do4+maTQ0NIgjHUASLSvBOFe0lEqlWQmwO++8065rBkEQKCws7DRPE3zCHptb0/JO6oGsYGY+K6jt8k0sOp0Ohw8fRkJCglNDqa6u5qyxMpkMo0aN6lQnLFvGKTracnX8rojBYMCWLVvg5ubGleh55JFHWs1bsGWcHK0S71Qk0bISjHNFq6KiAnfddReXjD59+nS71ler1QgLC0NFRUWHY+lqKJVKBAUF3aJlnIxK4MLnzeWbLn5h02okSYIk7ato3RYEQeDgwYPw9PTkhpoWLVrktO3zBU3TIIj2O9Z2JRQKBT788EPuZsNaXh1FUeI4NpJoWQnGeaJFEAT27t2Lbt26cYaqgIAAh7YjOYct05mOjXNFS1fL/IDZ8k03hCmVpFQq8fnnn3MXvqFDh+L8+fOCxCJhPzk5ORg1ahT3/Q0YMEAcT1WWkETLSjDOEy2VSoVPPvmEOx/uueceZGZmOilQic6Gc0VLVQJsHsyYMML7AxXtV27X6XQ4duyYU0UlJyeHazjo7u6OKVOmCP8jthPW8r51q+2da7sKBEHgr7/+4i5SMpkMDzzwAFfNgCAIpKenS5b3FnRV0SouLsbYsWPN6lTai1qtRlRUlGR5t4BKpUJERMQtanmvuwqEejAmjO0jmcrV7WA0GnHt2jXk5eU5JQSDwYCoqCiz3Kx169Y5Zdt8wtq67al+3pVQKBT46KOPuO/R29sbH3zwAQDm2JSUlIijAr4kWlaCcY5osS5g9jzw8fHBjz/+aPd29Ho9zp8/32kuzHyi0+lw7tw5aDRtm+bEgvNEizIC+bGMYAV5AIdftKmdgrNpaGjA7NmzuZP87rvvluqNdVKys7PNhgn79OmDvXv3Ch2WOZJoWQnGOaLVsgpGv379kJSU5MRAJTobzhMtQg2kfNdUvqk7cN62orQURaGurs5pzpWMjAyuuoKXlxdeffVVp2yXb2iahlqtbre5XVfGaDRiz5493AQ82/CvrKwMOp1OHEM9kmhZCcY5oiWXy/Hoo49ySeePPvqoQy5gkiRRXl4u/HERIeyxEYWxyQacJ1qGRuDMf5lKGCG9gCu/2bSaVqvFzp07cejQoQ6HoNfrERgYaJaA2Fkt4yRJIi0trVMObToThUKB9957z8xN+N577yExMRHh4eFChyeJltVgOi5aFEXh0qVL8PX15VzAixcvdmhbSqUSq1evRklJiUPrd2UaGhrw66+/urQ9lDNxnmhpa4D9TzHOwcg+zFChDdA0DZ1O55QfmVwu52qTsWWbxN43qy0IgoBW236b9a5OTk4OHnjgAbMhItG4CXkQLZIkcf78ebz00kttPmV0NdHSarVYvny52fd+8OBBx8KhaWg0GlAU5dD6XRl2VOcWs7zTQF0GU75pgwzYMhSQ898KPS0tDd27d4dMJoOnpydee+01l+1LLpcjNjYWc+bM4ZyKppbcKVOmYOXKlSgoKHBZDLcKBEEgLi6OO75ubm4YN26cOBJFXSxaFEUhKSkJI0eOxKBBg9rMZ+xqolVbW4sXXniB+84ffvhhKBQKJwcq0dlwjmjRJFB2Cgjvxdjdd44AKNtMGHq9HidOnOhwlXedToeAgACzSft9+9ou1usoQUFB6NOnj5lQWXsFBQU5tA+SJJGTkyOeJwqBUSgUeP/9983chKKoJamXAwefcYlokSSJU6dOYcSIEfjXv/6FIUOGtPmkQNM0rl69Kh7RKj8BRPRySLTY3lls81Zvb2+8//77DocjVXm3jkqlQmRkZKe5IWhXtLRaLWpqagAwd31yuZwbstJoNMwymgDytjeZMLqB3v8kNHoKtfI6br3a2lpuaEOn03Hjp3q9HmfPnsXVq1e5f7fcn1qt5tarrq42W8baNGtqavDUU0+Z1SZjXYM6nc7qZ9Dr9dyJ3HKbLWOpr683m19hxXHbtm3Iy8uDSqVCeno6HnroIW55QkIC6urquM+g1+tRXV0NmqY5E0rLZQDzdJGZmYnjx49b/Oz19fXcegaDgavDxi4z/Qym+6uvr+eaLBqNRlRVVVlcZhqLLcvY6tmm+6NpGo2Njdwyo9GImpoabn8NDQ3cD8VoNKK6uhoURbVaZjAYUFVVhezsbNx3331mx3779u3QarUgSdKubZIkyS1j6zyaHhf287HLWKu0wWBoXg+AQl4O9Y5Hgc0DYKy9jmq5AiRJcJ+dXY8kSVRVVYEkSYvLVCoVd8y0Wi10Oh0oikJubi727NmDLVu2wN/fv9XxlMvl3DYVCgXOnDmD2bNnQ6PRQC6Xc5UOFAoFVzWfIAhUV1ebLWONUOw5wR4XpVLJrcd+f5bWI0kStbW1zDIwF8KGa7uBKD+Q5z5BVZ0aRqOx1TYJgkBVVRW3TXaZXq/H2rVrue/a398fe/bs4X637PfHbtP087HHml3GGprOnTuHuro6s+OiUqksxgIw1zfT31VNTQ0MBgO3HnsNoygK1dXVZsvY0mMt4zRdZml/7DL2WsTefLDfJ7vM9HqqVqtbxanX67llpuuxn8F0m3q9HidPnkRRUZHZMmvb1Gq1ZsvYbVhazzTOllpiuk17aFe00tPTsWbNGgDMZOamTZtw+fJlAEBSUhL++ONPACTT+HGdDAjtDuL8fCSmZmDDxo0AmLvktWvX4vr16wCAa9euITg4mDuoW7duRVZWFgAgLy+P63mlUqkQEhLCPYVdu3YNq1ev5pYFBgbi4sWLAIC//vqLK9vUrVs3jBs3Djk5Odxn+OOPP7jPsHHjRu4z5OTk4Ndff+VOqODgYC43qqCggItFrVZj8uTJZoLVo0cPpKenQ61WIzw8nGtIZ2oGYZedPXsWANOUcsWKFTAYDNwytu5iXl4eVqxYAZIkuWRI1t6bmZnJdWnVaDTYtm0bzp07x623ceNGUBTFLWOTtQsKCvDbb79Bq9VCo9EgOjqaKxxcXl6On376CTqdDlqtFlu2bMGRI0fMYmG3abpednY2fvvtN26eICYmhhPX3NxcrFy5Enq9HjqdDrt27eI6RVdUVGDNmjXcRXn79u2chb28vBzLly+HSqXilrHFcgsKCrB8+XIAwK5du8zchIMGDcL3338Pg8EArVaL7du3Iz4+HgBQVlaG5cuXQ6lUQqfTITY2lltWX1+PlStXQqPRQK/XIz4+njMDlZWVYdWqVQCYm4W9e/di586dAJhE1+XLl0OhUEBvIBC/Lw4JX/sCe+5ExY0z+O33DZDX1kKv12P37t3YtWsXAKCurg4///wzd0HevXs3du/ezf3OrM0nyOVyhIeHY8OGDejbty8OHz7MHbOqqips3LgRdXV1MBqNOHToEL7++mu89dZbqKysxOrVq1FRUQGDwYADBw5g8+bNAJgbvBUrVqC2thYGgwHx8fHYtm0bAKC0tBQ///wzVCoVDAYDDh8+jJiYGO77W7lyJXfhO3DgAJf83tDQgI0bN6KyshIEQeLU6TOIXfMesGswFMfmYfnK9SgpKQVBEDh69CiioqIAMEOAK1as4C7ex44dQ3R0NBQKBZ588knuex4xYgTi4uKwZcsW7vtbtWoVSkpKQBAEDh06hMjISADM9eaXX35BWVkZSJJEQkICF6dSqcQff/zBiW9CQgJXLb6urg6//vorysvLQVEULl68iA0bNgBguhCsWbMG+fn53DbZURSlUolVq1Zxy06ePImQkBBuvZUrV6KoqIhbxhqI5HI5fvnlF+4mITk52ewzBAUF4ebNm6AoCikpKQgNDQXAXPvWrVuHa9eugaIoXLhwgTNssYaT69evg6IonDt3jouzsbERq1evRn5+Pmdy2dh0jVYqlfjzzz+Rl5cHiqKQmJiI9evXmy27ceMGaJpGWloaNm3axMUSEBCAnJwc0DSNpKQkrF271izOq1evck/Opttcs2YNbty4YfG8b4t2RYumabNxdPaOlltG0YChATj+CjOfFeoLXNsAuum9VtdrWsaqMXu30+7+WixjjRzr1q0zcw2yPzR7t8nelbdcdvDgwVZDf6a9rkzXO3v2LGQyGcaPH291m+xFytr+2LtOdt6mZR1Ca+vZs4w9FmJYj11m6biYrqdUKvG///3PzE04f/58h7fZ3v6sfT5uPZ0c1P5J3PAgScPm/dE0DYPBgEOHDmHOnDmYN28e5s2bh//+97+caALM011ERAT69u3bqhJ3y21evnwZs2bNgl6v557c2GWWfjvtLbP2m2vv89EUCbL4KDOndeFTkIDNsRAEgYsXL8LPz4/7jj/55BNuuSOfwWAwoKKiAnq93ubP195nd2Q9Zy5r77po6zLW8m761MPXZ3DE/OGcOS1tFbBjJDOfFdEPKLe9BbZWq8WuXbs6ZHmvq6vDjBkzzEr+sMM7zkAul7eawzK9ULoCkiRx5cqVW97ybonc3FyMHj3abOiIfRLinQ7OabHDVxUVFdyrsrLSrAGmqWi1Z8ToCnNaOp0Ov//+e7stauxBsrxbp6GhAStWrLC5C7TQOEe0lEVAWE9GtGLvBhqzbV6VvQvqSC+X69evc6Li5eWFN954w+FtWWLlypWtnrL4cAUSBOHQmG9XhyAI7Nu3z6yFybhx41BeXs5/MDxY3u0Rra7gHqyqqsLTTz/NfbejR4/u8E0oOyIjWd5bwx6bW8fyTlNMYdxgNyDQDdj7CPPkxRM6nQ7r16936V13S0u7q5+yJNpHpVJh0aJFZsOEH374If+B8CRaYWFh6Nu3b5tVC7qCaNE0jeTkZLi7u3OuQUutaSRuXTouWqQeuB7I1BwM9ACOzQRgu2Lr9XocP37cYct7fX09pk2bZjY06Exba3p6equnLEcTHO2BJElkZ2dLLcUtQBAEMjIysG7dOkyYMMFsGMnU3MALPIgWWzw5ISGhzbvhriBaGo3GrOO4v7+/U35vkuXdOiqVClFRUZ2mmHDHRcuoBC58ypgwgnsAFxfYt7rRiMzMTM7pZw/sj3TIkCEuy90JCgpqJVp8QFEUysvLO5y/1hUhSRLFxcVITk7GgQMHONeom5sbHnzwQX7rNUplnKwE45hoVVVV4ZFHHuFcwBMmTHDKxZRNreks3Xn5RKfT4cyZM7dQlXe9HDj0b6bmYHhv4EaIE8Kycdd6PcLCwszuykxdg85g/vz5ZoI1ZcoUs+VyudxqYvE999zj1FgkWqNUKvHFF1+YJR2/9957/AUgiZaVYOwXLbbjuLe3N5dS8uWXX7o4UInORsdFS3kT2P0g86QVPQCosu/JgKIoVFVVcQlp9tDY2Ih33nnHTCTy8/Pt3k5bTJkyxUyIVq5c2eo9loYQx48f365ZQy6XY/78+WZzZnPmzAHQnNRaXFzs1M/TFaBpGg0NDVzyeElJCR588EGzm5cdO3bwE4wkWlaCsV+01Gq12Tzl7bffzuU+dhSCIFBYWOhQhfiujtFoxM2bNztkhuOTjokWTQM1KUDMQMY5uHUo073YDrRaLXbs2OGQ5b2wsBCDBg2CTMZ0NJ02bZrd22gPW0QLgN3zXnK5nBMrVqjuueceLFmyBEBzlXc2UU+iGaPRiPPnz3NJk0ajEXFxcfDw8OCGCcePH8+PvVkSLSvB2C9a5eXlGDFiBDc0+NhjjzktHIVCgVWrVkk3gRZoaGjA8uXLb5Eq7zQJlBwGgmRAoAzYNZpxE/KA0WjEzp07OZHw9fXlql44k5aiZUmMCgoKWolWeyeAqY2erWwh4ThKpRKfffYZ/7UJJdGyEox9okUQBA4cOMB9fz4+Pli2bBkPgUp0NjomWqQBuBHOlG8K9gROvOKksNqnZQHVIUOGICMjw+n7mTNnjpkYWSqAGxsb22posC1Mn7L4MnbcChQXF2Ps2LFmlVHY0kUuQxItK8HYJ1oKhQJvvvkm990NHjyYK/smIWFKx66YRhWQtLip8aMPkPyt3ZvQ6XQ4evQoVyvPVkwvUB4eHnjuuedcMl7d0j1oKUer5dMYO8RnCUuJypaEjiRJZGVlcTXTJJohCAJXrlzh6vqZ/n3//v3w8vLijuvIkSORl5fnumAk0bISjO2iRdM0rl27hqFDh0ImY9oKzZw5s81EantRq9WIjIy8pTuBW0OpVCIsLOwWsbzr64GjM5tqDvYGskPt3oQjlneSJHH06FGud5aPjw++//57u/dtCy2fimQyGZc7xRopWgpQe7lV586da3eOTLK8W4ckSRQVFXHFhE1pmXTs6emJl19+2XXZ/pJoWQnGdtFq2XHc19fX4ZY+be1Dsrxb5tayvGurgNh7mZYkkf2A8tPOiaodNBoNfvzxR+4kHzhwoN1PavaQnp7eZv+sPn36mC1vzzUozWe5ltLSUowbN447xr1790ZAQIBrdiaJlpVgbBet+vp6PPPMM2YuYEFKckl0CjomWvUZTM3BABmwcySgsH8YhiRJVFZW2mV5l8vlePbZZzmn2MSJE+3er73I5XKsXLkS48ePN/txzZ8/HwUFBYiNjeX+3R6m82TWDBus5b2oqMjZH6XTw1reS0tLLS4nSRLHjx/nGgiy35VpVX6nIYmWlWBsEy2KopCQkMDVkfT29sa8efOcHo5kebcOQRAoKCi4BSzvFAEU7gWCuwEB3ZgfLmH/46VWq0VcXBzXq8kWrl27hl69ekEmY2rOffrpp3bvV0jYp7K2DBskSSI9Pd11TwidGKPRiEuXLnF9iSyhUqnwzTffcKLl4eGBqVOnOnWeBIAkWlaDsU201Go1vvzyS7McO1eUSVMqlVi7dq3VG51bmYaGBqxevfoWqPJO6oDMdU01Bz2Bk686vqmmni62oNfrERISwp3kffv25Rr7dQZM7fHtPZW17KEl0Qzbd6ktqqqqzLpZ+/r6Or/ViyRaVoKxTbQKCgq4btTdunXDxIkTzdqyOGujmWkAACAASURBVBO2W7GEOTRNc52VOwOOi5ZRxdQZ3CADQuyvOegoLatgjBo1qlP1yDG1xzt7slnCHJIkcfr0afTr14875nfddRcuXbrkvJ1IomUlmPZFy2g0mv0efHx88N133/EcqERnw3HR0tUBh6cxOVrhfkC29aGaNjej0+HIkSM2GxJyc3O5OzNPT0/85z//cWi/QrFkyRKbTBis5Z1tLy7RDEEQSEtLs6kFjUajwYoVK7hj7u7ujsmTJzvPKSWJlpVg2hethoYGzJw5k/tuhg4ditzcXJeEI1neraNUKhEaGnoLWN4V+cCuBxjnYFR/oNIx9x5BEMjKyrKpqSJBEIiPj+fHFeYiTI0cbcHWZExOTuYpss4DRVEoLS212VhRWVmJyZMnu6bagiRaVoJpW7RomkZaWhp69uzJyw2owWDApUuXoFAoXLaPzopOp8PFixeh1WqFDsUmHBMtmgaqLzEnZIAM2DoM0Nlf8NZeNBoNfvrpJ7MqGI60NBESNvaW1eIlXAdN00hKSsJtt93GHf/+/fvj1KlTHd+4JFpWgmlbtDQaDX744QeztJEDBw4IEKhEZ8NB0WqqObhRBgR1A/56kvmbA1AUhfr6epvugGprazFx4kTO6u7Mgpp8YJpU3N58Fk3T0Gg0HW4z3hWhaRpqtdquNImWHa67deuGf/zjHx0fLpJEy0owbYtWQUEBRo0axQ3ZTpo0CUql0mXhsKk1ncXWzSfssXG6s9ZFOCZaTqw5qNPpEB8fb9Nd740bN+Dj4wOZTIaePXvixx9/dHi/QmA6n9XecChJksjMzERYWBhP0XUeCIJASkqK3XUFa2trMWvWLLOiuu+++27HgpFEy0ow1kXLYDAgJiaG+x569eqF9evXuzQclUqFwMBArp2NRDONjY1Yv369y1ybzsYx0TKqgIsLm2sOpthfc5CFpmnodLp2f2R6vR6hoaHcid6vXz+H2pkIhVwu5/Kz2ivzxEIQRKcZZ+Ybo9HoUKJoZmYmhg0bZpYX1KHeW5JoWQnGumjV19fjX//6F/cd3HvvvS43SLAjFxTFTxeKzgR7bLq25V1fBxx6gbG7h/kBudFODqs1jY2NmDt3Ljc0OHr06E7TG4cdFhw/frxLEiclbEev1yM8PNysDNd9993neFFdSbSsBGNZtEiSxIkTJ+Dp6ckVB1iwgJ90GYmugWOipa0GdtzHzGlF9wfKHZ/Q1uv1OHfuHFJTU9t8X3FxMR5++GHIZDJ4eXnh9ddfd3ifnQGKopCfn4/9+/cLHYroYNMBjhw54tD6jY2N+O9//2tWVHfmzJmOJXJLomUlGMuipVAoMG/ePLMWJImJiS4PR6PRYPfu3aipqXH5vjobarUaO3bscOmcojNxTLQU+UDUAEa0Yu8B5I73sTIajbh27Vqbd7oUReHUqVNwd3fnxsCtVUfvKlAUhYqKCl5+0J0NiqJQXFzc7o1OW+Tk5HD5fmy1jD///NP+DUmiZSWY1qLFxte/f3+zCvx8oNfrceHChU6Ti8QnOp0O586d6zRTEfaLFk0CpUeAUG9gkxuw7zHA4NoJvJYJogMGDMCVK1dcuk+Jrg1BEDh48CDX3oa96z9+/Lh9G5JEy0owrUVLrVbj22+/5Y63n59fq55oEhLtYb9okXrgehAQKAMC/7+9Mw+Pokr3fydAJCxBwOvGyLB50UEZRJ0HZHTmqsO9o3cYRJF5ZByHGZdR7/D46IwjOONPUQKEABNIJIBsshkSAgmETTYTlkRCgGBYQtIJ2UhI0p3eqrtr+/7+aOoklXRnIdVLJe/nefiH01XnrUp3feuc8z3v2wPY/7+dCkBZBGxtUb2+vh7PP/88sypPmjSpWyyout1u3QzZA4ksy3C73bDZbJ06j8PhwOeff84eomFhYXj88cc7NoVEouUjmJaiVVxczEww4eHhmDBhQsDe7iVJgsVi0Y2tO5Ao90Yvz9SOi5ZgB3I/9ZgwEm8Dsv7SqQAcDge2bt3aatJbo9HINoZGRkbivffe61SfekCxdcfGxgY7lJCD53lkZmYiPj6+0+cymUz4zW9+o7LBv/nmm+0/AYmWj2CaitZ74NzA/PnRKpv7ihUrAhaOxWLB/PnzdWPeCiQmkwmfffZZh/Y9BpOOi5a7ATj6msfu/lU/4PziTgWgjLR8vXG53W5s2bJFZVFuT865rgCNtLwjyzJcLlenR1rKufLy8jBs2DBV5YD169e37wQkWj6CuSla6/sD2e+jpKIWYx4aw0a0Dz/8cEDLhCijCaqa0BJJktDQ0NCFR1r2CmDXzz0jrXWDgFL/utssFgveffdd9kAZNWoUfvjhB7/2SXQveJ5HUlKSygY/dOjQ9uV9JNHyEcxN0doQBdfJ97B6/VZ2byMjIzFnzpzgxkfolo6LlukHYNMQIMEAbLwLMF/sVAAulwuZmZk+HxDl5eWYNGkSS/fy7LPPBv8HGQAkScLVq1exc+fOYIcScoiiiIKCAk33vDUvGqmkeaqurm79QBItH8HcFK2NA1CdNhOPT/wvVXmYoqKigIbjcDiwfft2srx7wW63Y9u2bbqZ1emYaMkSUJXpMWEkGoDksQBv71QAbrcbubm5XkdPsizj1KlTuO2229gb2t/+9rdO9acXJElCWVmZNklduxiiKKKoqAiZmZmanrempgZTp07t2PoWiZaPYESg6jD4DQOw5f/uhKFXP/Ybnjt3bsDDcTqdOHDggG5SFQUSjuOwb98+2O2de5YHio6JluQGLm/wrGet6gV8Ox2A/1J/NE/dpLcqxYT+KCgoUK1vRUVFISEhwfcBJFo+ghGB60fArR+AmKmN0673338/Ll26FNzYCF3TMdHibUD2HM961qpIIOfDTgcgSRLMZrPXLO8WiwVvvPEG+8KPHDmy27wpKQYVms5oiZLlva6uTvNz8zyPlJQUNrpX9m/5HNWRaPkIRgSqj4LbcDsWv9C4lvXRRx8FJRxRFFFdXU1Z3r0gCAKqq6t1sx2gY6LlbgAO//5motwooKDzBRg5jkNSUhL27dvXou369euqKsXTp0/vdH96QRRF5OXl4d///newQwk5eJ7H8ePH2yzvcqs4HA589tlnqvWtiRMnoqqqquWHSbS8xyIJcBVnwJHYG7HTPPfxvqFDYTQagxKPxWJBTEwMWd690NDQgPnz5/vlJdAfdEy0nLXArkke0Vo7EDB2fje7LMvgeb6FFVWWZWRnZyMqKort64iOju50f3pCFEW4XK5ghxGSCILg1wdzfX09pkyZwoQrIiICr7zySktbMImWV1xOB7JTo1H5hQHLphtg6BmJf/zjH0GLR6kmoRdbdyBR7k3XzPJuvwZsHurJObjlx8AN/5WCdzqdiI+PZw+Nu+66C4cPH/ZbfwTRFFmWceHCBTz44IPsO9i3b1/Mnz9f/UESrZZxALh8pRBvPDcCtYsNWPpSGIaOGoOyssDtyyK6Lu0XLVkCqr4D1kV57O6pjwJcG3bgduByuXD06NEWiWEbGhrw6quvqtLr1NfXd7o/vSBJEgoLC5GSkhLsUEIOQRBw4cIFv5tyBEFAWloaIiIimHDdeeed2LFjR+OHSLRaYLPZMffjTzD2LgOqFhmwcFpfzP1/wZ0lcTgc2LZtG1UC94LNZsOWLVvaVT0+FGi/aEk8YEwFVvcCvgwD9jytSQC+LO/FxcXsLbe7rWcBZHlvDX9Z3r3hdDoRFxen2ng8cuRInDt3zvMBEq0WMZw+fRp33303wg0GDL8jHP/zXxNQWxfcF06n04mDBw92GyNXR+i6lnfRCVyI84yyEnsCB1/0W1DK/qympUhiYmL81h9BtEbz+lvKJvd6k9lT4YBEi2GxWPDWW281KfkSha++WheUWIiuSftFi7cCJ94D4gzAmj5A7r80CUCSJNTV1anegDiOw9KlS1WlSNqVUqcLodi6vTrWujmyLMNisfi9RHtTSktL8ctf/lK18fj1N96E5DID+/8b2Dio24uWJEnIyspi06k9evTAr371q4DH4Q1RFFFRUUHGJi+Ioojy8nLd5GVsv2g564B9Uzx7tNbeDlzdpEkAHMdh+/bt2Lt3L/s/k8mE3/72t+wB8cADD3Sr9Syg0fIeFxcX7FBCDsXyvmrVqoD1qQjCj3/8Y/a97NMvCh/P+Tuw91fA1//R7UXLZDLhpZdeYvdn8ODBt1xdWmusVisWL15MlncvmM1mREdHd0HLu8UIJD3omR5c/x9A7RnNghAEQaXyRUVFrO6OYjXujoiiGHTrcqgiimLAN4oKgoBdu3ahT58+jQ/mfj1x7MMIYOdwoOFyQONpTjBFy+12Y+vWrQgPD2e/29///vchY6NWarCR5b0lyr0Jlb9VW7RftOrOAWv7Al8agG0jAc4/LhxBELB3715ERkZ2rgw6QfgBp9OJL7/8kj2cB/U1YO9fDR7RshQGNbZgilZpaSl++tOfqrKIdLcpfSIwtFO0ZKD6uEewVoYBO3/mWePSAMXynpOTA8AzXRgbG8u+/Pfcc0+33J9FlnffBMry7oumZeMH9TXgwGwDXKtvx/nvkoISj0KwRMtqteL9999nv9nevXvjr3/9a8D6bw9kefdN17S8S27gysab1Yp7AQenAbI2i3Y8zyMvLw8FBQUAPPPiM2bMYPuzHnvsMTQ0NGjSl55QLO9Hjx4NdighhyiKKC4uxvHjx4MWQ319PV5/403062nA0fcNMC0zYMovHsDx7LygxRQM0RIEAenp6cx8ERYWhvHjxwctXZMvnE4nDh06RJZ3L3Ach4MHD8LhcAQ7lHbRPtHibUDOHE8mjFWRQPbf/RaQ0WjEyJEj2bz4zJkz/dYXQXSG6pobeGHK/+LT/zFg32wDBkeGY+wjj+Hq1atBiScYomU0GjFu3Dg2yho4cCCSkoI74iS6Nu0TLZep0Tm4Jgq4uFKzACRJgslkYqOpEydONNnj0b/bJoxVsry3WYSwGyLLMmw2W0hkwDcWF+PZXz6B3uEGhN20ef/iF79ARUVFwGMJtGhZrVZ88MEHqm0As2bN8nu/t4IoiqiqqiJjkxeUe9O1LO9cDZAyziNaGwYDpemaBcBxHFJSUrB//34IgqDKPtAd92cpiKKIs2fPYsWKFcEOJeTgeR4nTpzAmjVrgh0KZFlG3tlz+M/RD6g2Hz/99NMBXz8JpGgJgoDdu3ezEi5hYWEYO3ZsyFrKrVYrlixZgrKysmCHEnKYzWYsXLhQN9uK2idaViOwdcTNRLn3ATXZbR/TTmRZBsdx4HkeZrMZ06dPV82Nm81mzfrSGzzP6ya1SiBRLLqhMgcvSRJOnjyJUaNGMeHq2bMnpkyZEtAS5oEUrcuXL2PEiBGqacHNmzf7tc/OoIzO9VIzKpDIsgyr1aqb7QBti5YsAdUngfWDPXu0to8BbP7J1lxVVcXmx3v16oUZM2bo5kYS3RtRFHH06FHV5uOIiAhMnz49YC9egRKturo6vPzyy6ppwT/96U9+648gmtK2aEk8YEwBVvfwWN53PaFpAC6XC0eOHMH333+PkydPduv6WU0RRRFXrlyhRW0vCIKA8+fPY+fOncEORYUgCDh48CDuuece9kDv1asXpk6dGpD1t0CIlt1uxyeffKIqkPmzn/0sKGt4HcHhcGDz5s0BTf2lF2w2GzZu3Kgbl3bboiU6gR/ib9rde3rs7hrC8zzy8/ORn5+PlStXqupneatm3F2QJAkVFRUByWSuN0RRRElJCU6dOhXsUFqgrPUMHjy4RYJdfz8w/S1abrcbX3/9NXr27Mmu7e6778a3336reV9ao+wH7c7LDb7gOA6HDx/WzVJE26LF24BTf/ckyl3dB8j5yC+BWCwWvPvuu+zHMGbMmJBwhxFER+F5Hrt27cKdd96pEq6f//znuHzZf6me/ClaSqaaAQMGsGsaNGgQvvrqK037IYi2aFu0XPXA/hc8I62vooDL2n5JFSOG0WjEhAkTQi47dDBxuVy6GbIHEqU8eCjv4BcEARkZGfjRj36kmkobP358Yy0ujfGXaMmyjPPnz6uqOEdGRuKDDz7QrA9/I0kSzGazbmzdgUS5N3oxqbQtWvYKIGW8R7TWDQaqjmoaAMdxSEpKwhdffIH+/ft7smf36YOPP/5Y0370hiAIOH36NGJjY4MdSsjB8zwyMzORkJAQ7FBaRRRFZGZm4oEHGu3wYWFhGDVqlKqqgVb4S7SKi4vx5JNPqgwmL7/8MpxOp2Z9+BuLxYLo6OiQteQHE5PJhHnz5qG2tjbYobSLtkXLfBlYP8Bjwtj0I4/9XWMsFgsSEhJUJQ0OHjyoeT96g+d52Gy2YIcRciiWdz3MwUuShNOnT2P8+PGq6sd33303Vq9erWlfWouWLMsoLCzEM888oxotTpw4UXeGBsXWrZfRRCDpWpZ3WQIqj92sVhwG7JoIuLVfyLTZbPjwww/ZD2PEiBG0CZDoMsiyjIsXL+KJJ55QCVfv3r3x9ttva5YPT0vRUmKeOHGiKuaRI0d22w3/RGjQumiJLuDSGs+m4sRewKEZHiHTEFEUcfjwYba/RVnP6u4jDEmSUFJSggMHDgQ7lJBDFEUUFhbiyJEjwQ6l3ciyDKPRyDbPN7XEP/fcc7h06ZImfWghWrIsIz8/v4VgDR8+XLczIBzHISMjQzeFDgOJw+FAWlqabp65rYuW4ABy5zUmyj31vuYB8DyP1NRUlg4mMjIS77+vfT96Q8nyfuzYsWCHEnKEQpb3W8Vut2PevHno3bt3i3Wu7du3d+rcWoiWKIo4fvw4Hn74YVV8o0eP1nXFAcry7hsly7septuBtkTLbQG+e9NjwljVF8ibp3kAipVWEa2oqKiAllEniEDjcrmwdetWlbNQMSC9/vrrKC4uvqXzdla0OI7D6tWrMWTIEJVgjR07lqYEiZChddFy1gG7fwEsNwDrbgeuap9bjOM4LFy4UFX0MTtbu9yGesbtdgc0d51e0JMRwxeSJCE3NxePPPKISrjCwsJw//33Y/PmzeB5vkPn7IxolZeX449//KMqlvDwcDz22GPIz8/v0LlCEUmSYLFYyIjhBeXedA0jhtUIfPOAZ6S1aYgnB6HG1NfX47nnnmM/lHHjxnX4x9oVUbK8x8fHBzuUkIPneZw6dapLbGwtLy/HX/7yF/Tp00clGBEREXj22Wexd+/edlvLb0W03G430tPT8eijj7ZYa/v1r3/t183QgcRqtWLZsmUoL/dP3lQ909DQgJiYmC6S5b0qy1OKJMEAbH/QU6JEYyorK1m26IiICLz22mua96FXRFGk+j8+EAShy7zcuN1u7Ny5U7Wfq2ky2ilTpiAjI6PNUUJHREsQBJw6dQozZsxQpWUyGAzo27cvPvnkky61sV2WZbhcLt2MJgKJ3u5N66JlTAZWGTx7tHZO0LxzWZbx/fffo0ePHixJLm2mJbojsiyjvLwcs2fPVuUtbDryGTZsGN566y2cOXMGHMd5Pcf58+fx4osvehV0SZJQWVmJ5ORkvPLKK4iMjGwxHTh27Fjs2bMnEJdMELdE66JVsPKmCaMX8O3LmnfudDoRHx+v2lSsJxuzP5EkCUaj0S+ZE/SOKIq4fPmyLhK1dhRBEJCTk4N33nkH/fr1ayFeillp8uTJ+Oijj5CamorCwkK43W7wPI+8vDzVSIvjOFy5cgVr167FrFmzVK7A5nvGZs2aBaNR++QBoQDHcUhLSyPLuxccDgdSU1N1s37eumhlf3QzUW4kkPMPzTu3WCx4/fXX2Q/noYceojnnm0iShKqqKl3auv2NJEkoLS3FyZPar7GGCqIoIjc3F1OnTlWVOmn+r0ePHujfvz+GDBmCcePG4aGHHsLQoUPx4osvYvLkyRg6dCj69u2LsLAwr8f36tULkydPxv79+4N9yX6Fsrz7huM4HDp0yOvoPRRpXbSOvtqYKPfSGojwrEEpimy1WlnmClEUUV5ezjaoWSwWJkBKm+L2stvtqK6uRnV1NctpplR6bWhoQGVlJTuusrKSza3b7XaWO0wURVRUVLCkqc1jqaioYHHabDafbQ6HA6WlpZBluUV/HMepruH69eusP7vdjtLSUtZWVVXFfhB2ux1lZWXsnE3bHA4Hrl27BkmSWrRxHIdr166x42pqatgXqXl/1dXVquMqKiogyzIkSUJ1dbXqGpT+lDZlwdXlcqG0tNRrW9NYmrcp19Bam3LOGzdusL0xLpcLZWVlrK2mpoblO1NiEUWxRZvT6WR/I+WcSn9Km3JcdXV1i3MKgtCiTRAEXLt2jR1XW1vL3sJdLhf7niltNTU1qv6Uc9bW1qK6ulp1HM/zLE7lOEEQUFJSwo67ceMGq2IgiiJsNhtkWWYJpBXzhcvlQlpaGmbPno3777/fp3h19F+vXr3wzDPPICkpCeXl5ez74nK5WJyyLKOurq7F9bndbkiSpGoTBAEVFRVwu92QZRkmk0nVVlJSAqfTydqUNFDK36HpcUobz/Mt2qqqqlTHKeesr69XtZWWlsLlckGWZZjNZhaL8izieZ61KX8jnudVx1ksFlYnTBRFlJWVgeM4dlzTtmvXrrE2k8mkeoY1jdNsNrM4lf6U67NarezalWeR8vu3WCyqczZ9njY0NKieU2VlZao2b9egnLNpW3l5uc+2srIyVincarWq2iorK1mbt+e+oglWq7VFnLdSfbx10do7ySNaawcDFYdgc7iwatUqnD17FgCQm5uLuLg4FlB8fDzOnTvH1qq+/PJLVdvFixcBABcvXsT69euRm5uL++67j+1RmTt3Lmpra7F8+XIAngf12rVrWd2kgoICLF26FIBHiNasWcPs8efOnWOx2Gw2rF69GqdPnwYA5Ofns3PabDYkJiayaygsLERMTIyqv5ycHACA0WhkxzkcDmzZsgW5ubnsGhYvXsyO27BhA9t8efHiRSxbtgySJLG2EydOAACKiooQGxsLnufhcDiwYcMGZGVlqdqU4xITE5Geng4A+OGHH1h/DocDSUlJqnMmJiayB15SUhK7Z0ajEbGxseA4DhzHYfPmzTh06BAAT6Xo6Oho1rZ161Y25VZUVITFixdDkiRWQE9pu3LlCpYsWaK6L8q0rnINLpcLTqcTqamprO369euIi4tjD+Xk5GR2fVVVVVi0aBHsdjtry8jIAACUlJRgwYIFLLt7SkoKkpKSYLPZUFpaitjYWDgcDnacMqVaWVmJmJgYWK1WOJ1ObN++nZ3TbDZjyZIlcDgccLlcyMjIYNlHKisrsXTpUrZAnZ6ejh07dgAAysrK2Dndbjf27NmD5ORkdn2xsbGoq6uDy+XCzp07kZqaCsCTlDQ6Ohomkwkulwu7du1iRSxlWW6RfVxZFK+pqcGmTZvYMcOHD8fMmTPx6KOPIiIiot0i1aNHDwwfPhwvvPAC5syZgzlz5uDGjRvgeR4HDhxgG5srKiqwYMEC2Gw2uN1uHDhwAFu2bGHXt2TJEty4cQNutxt79+5lRUrNZjNWrlyJ6upqCIKAY8eOsXNaLBYsWrQI5eXlEAQB3377Lb7++msAnirIixcvRk1NDQRBwKFDh1jbjRs3VG1HjhzBhg0b2P1cunQpKioqIAgC9u/fz46zWCxYuHAhKisr2WbprVu3wmKxoL6+HsuXL0dtbS0EQUBWVhb7+5lMJixatAhVVVWQJAnZ2dlYuXIlO2dcXByMRiNLhLxmzRoAnufb0qVLUVxczCpYr1u3jh23ZMkSlJWVQRRFHDt2jF1DXV0dFi5ciJqaGpajcuPGjeyca9asQUlJCdseoZzTZrMhPj4eBQUFkCQJJ0+eZMmjFZfkpUuXIEkSTpw4wXJcNjQ0YNmyZTAajez6EhMT2e9WuYbmz2+bzYbly5fj8uXLzOyj7KW12+1YvXo1CgsLIcsyTp8+zRzPNpsNCQkJyM/PhyzLOHPmDIvTZrMhLi7ultyprYvW+kEe5+DX9wCmzqeZaYogCEhNTWU/qgEDBrA/GNE4PaSINNGIXrK8twe3243du3dj2rRpeO211/CHP/wBM2fOVFXt5nkee/bsweOPP46UlBQAngd6VlYWduzYgZiYGLz99tuYPHkyRo0ahf79+2PMmDGYNGkSfve732HRokU4cuQIioqKIMtysC41qFCWd9+YzWZ89tlnXSTLe6IBWGkAkscC9ipNO3Y4HIiOjmaidd999+Hq1aua9qF3JEkiy7sPusp2AGWjtNVqVf1Tpmk4jkNiYiKeeuopNkJu7Vx5eXmYNm2arsqGBALlPuvF1h1IlBkFvbzQtC5aXxqAlT2APc8AvLYF90wmE1566SUmWo888gh9oQiiCU6nE6tWrcK9996L1NRUXL9+HUajka0nNKctyztBdAVaF60EA5AYARx5VfOOq6qqWGb3iIgIzJw5U/M+9Ixieac9My0RRRGXLl3Sbcbx9nL9+nWMHj26xfrUiBEjvH7eX0UguwIcx2HXrl1kefeC3W7Hjh07uojlfYUBSIwEcj7UtFNJkpCVlcU2Fffv35/WbpqhiJZiHCAa6S6ixfM8zp07hzNnzqj+KYam5pBo+Yb2afmma+3TWm4A1kYBF7XNuu5yubBu3Tr25njHHXfgu+++07QPguhukGgR3YG2R1ob7wDKtC1EaLVaMXv2bCZaw4YNw4ULFzTtQ+8o9m56M2yJLMtwOBxUG6kZJFq+UfbU0VpfS5R9g823XYQqbYvW5iHAjVxNO62ursbTTz/NROvee+9le5UID0qWd2WfGNEIz/M4fvw4239CeCDR8o3VakVsbCxLMkA0YjabsWDBAt28ILdtxPjmPwGndinrZVnG2bNnWQG83r1745133tHs/F0Jl8vFMnAQjSgWXb3MwQcKEi3fSJKEhoYG3YwmAokkSTCbzbpxb7cuWivDgF1PaNqhKIo4ePAgG2XdfvvtbMc9QRC3DokW0R1oXbRWRwBH/6hph06nEwkJCSoTxooVK1BQWNq5vAAABQ1JREFUUKBpP3pHkiQUFxdj9+7dwQ4l5FDcg109yWtHIdHyDcdx2Llzp26yPgQSu92OlJQU3cxctC5aa/oCeV9o2mFDQwNmzZrFRGv06NH47rvvSLSaIUkSSkpKWD48ohFRFFFYWMhyPRIeSLR8w3EcMjIydLNuE0gcDgfS09NZYttQp3XR+up2oEjbqbva2lpMnDiRZXafNm2apucniO4KiRbRHWhdtNYOBiq0LbR35coVDBo0iGV2//jjjyFJkm5quQQSJScdoUYxYujlzTBQkGj5RpIkWCwWMmJ4QTGpdA0jxuYhQH2+Zp3xPI+UlBSEh4ezSsXJycnYt28fZX5ohiiKOHPmDJYtWxbsUEIOnueRlZXFyioQHki0fKOUR6Es7y0xm82YP3++bqZOWxetHY8Cdu/JOW8Fu92OTz/9VJVD7fz583A6nfTW3Axlc7FS7JBoRKkbRpuL1ZBo+UaSJNTX19PmYi8oBT1FUQx2KO2iddHa9zwgujTrrKGhAa+++ioMBgPCw8Px1FNPsYqpBEF0DhItojvQumgdfkXTzsrKyjBhwgRW7nvGjBkAgBMnTrCKwIQHsrz7RhRFXLx4kZyVzSDR8g1Z3n1jt9uRnJysm/Xz1kXr5HuadSTLMnJyctCvXz8YDAb07dsXn3/+OQAgOzsb586d06yvroCS5Z32IrVEFEVcuXIFhw8fDnYoIQWJlm84jsPu3btJtLzgcDiQlpammyWa1kXrQpxmHfE8j+TkZLaeNWjQIHpTJggNIdEiugOti5YxVbOO7HY7/vnPf6qS5FZWVrI2sry3xO12U+5BL5Dl3TskWr6h3IO+6VqW99qzmnVUX1+P559/HgaDAWFhYZg4cSIEQYDT6cQ333yDvXv3atZXV4As775RsryvXLky2KGEFCRaviHLu2+6luXdrd1bfmVlJYYNGwaDwYDbbrsNf/7znwF4fmh2ux0Oh0OzvroKlOXdO5Tl3TskWr6hkZZvulaWd42QZRnZ2dmIioqCwWBAv379sGTJkkB0TRDdBhItojsQENFyu93YtGkTwsLCYDAYMHDgQKSnp7O248ePk+W9GYrlXblPRCOK5Z2clWpItHzDcRxSU1PJPeiFrmV51wi73Y5//etfzIQxatQo5Od70kO53W7k5OTg/PnzgQhFN1CWd98oWd6PHDkS7FBCChIt31CWd990rSzvGlFfX49p06axTBhPPvkkuQUJQmNItIjuQEBEq6ioCD/5yU9gMBgQERGBWbNmsTZlgVQvQ9NAoeTXo+mMlijmHcrLqIZEyzeiKKKmpoZyD3pBuTd6Man4XbRkWUZeXh7LhNGvXz8sWLCAtTscDmzbto3SFTVDEAScPn2aDCte4HkemZmZSEhICHYoIQWJlm8sFguio6PJ8u4Fk8mEefPm6eYF2e+iJQgCduzYwdazBg4ciLS0NNVnRFHUTYbhQCJJEr0Z+kCSJN28GQYKEi3fyLIMnuchy3KwQwk59HZv/C5adrsdc+fOVWXCKCsr83e3BNHtINEiugMBWdMiCIIgCC0g0SIIgiB0A4kWQRAEoRtItAiCIAjdQKJFEARB6AYSLYIgCEI3kGgRBEEQuoFEiyAIgtANJFoEQRCEbiDRIgiCIHQDiRZBEAShG0i0CIIgCN1AokUQBEHoBhItgiAIQjeQaBEEQRC6gUSLIAiC0A0kWgRBEIRuINEiCIIgdAOJFkEQBKEb/j9iTLd74slbEQAAAABJRU5ErkJggg==[/img][br]Verschiebung von [math]G_f[/math] um 2 Einheiten nach oben. Dann erhalten wir[br]
g(x)=
Allgemein gilt also[br][math]g\left(x\right)=f\left(x\right)+d[/math][br][br]Der Graph von g geht aus dem Graphen von f durch [b]Verschiebung in y-Richtung [/b]hervor.
[math]d>0:[/math]
[math]d<0:[/math]
Verschiebung in x-Richtung
Beispiel: [math]f\left(x\right)=0,5x^3+1,5x^2-2[/math][br][img]data:image/png;base64,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[/img][br]Verschiebung von [math]G_f[/math] um 1 Einheit nach rechts. Dann erhalten wir[br]
g(x)=
Allgemein gilt also[br][math]g\left(x\right)=f\left(x-c\right)[/math][br][br]Der Graph von g geht aus dem Graphen von f durch [b]Verschiebung in x-Richtung [/b]hervor.
Wir spiegeln an der x-Achse und erhalten[br][br]g(x)=
Wir spiegeln an der y-Achse und erhalten[br][br]h(x)=
Allgemein gilt also[br][math]g\left(x\right)=-f\left(x\right)[/math][br][br][br][math]G_g[/math] geht durch [b]Spiegelung [/b]von [math]G_f[/math] [b]an der x-Achse [/b]hervor.[br][br][br][math]h\left(x\right)=f\left(-x\right)[/math][br][br][math]G_h[/math] geht durch [b]Spiegelung [/b]von [math]G_f[/math] [b]an der y-Achse [/b]hervor.
Allgemein gilt also[br][math]g\left(x\right)=f\left(b\cdot x\right)[/math][br][br]
Der Graph von g geht aus dem Graphen von f durch [b]Streckung[/b] [b]in x-Richtung[/b] hervor, falls
Allgemein geht also die Funktion [math]f\left(x\right)[/math] durch Verschiebungen, Spiegelungen, Streckungen in die Funktion [br][math]g\left(x\right)=a\cdot f\left(b\cdot\left(x-c\right)\right)+d[/math][br][br]über.[br][br]