Question
Find the length of AC.
![](data:image/png;base64,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)
- 21
- 39
- 24
- 27
Hint:
If a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.
The correct answer is: 39
![fraction numerator A E over denominator E D end fraction equals fraction numerator A B over denominator B C end fraction left parenthesis P r o p o r t i o n a l i t y space T h e o r e m right parenthesis
14 over 12 equals fraction numerator A B over denominator 18 end fraction
A B equals fraction numerator 18 cross times 14 over denominator 12 end fraction equals 21](data:image/png;base64,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)
Hence, the correct option is C.
It is also called basic proportionality theorem.
Related Questions to study
Find the value of z.
![](data:image/png;base64,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)
It is also called basic proportionality theorem.
Find the value of z.
![](data:image/png;base64,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)
It is also called basic proportionality theorem.
If KM ll JN, then find the value of J.
![](data:image/png;base64,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)
It is also called basic proportionality theorem.
If KM ll JN, then find the value of J.
![](data:image/png;base64,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)
It is also called basic proportionality theorem.
In the figure, DE ll AB and If CE = t – 2, EB = t + 1, CD = 2, and CA = 10, find t.
![](data:image/png;base64,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)
It is also called basic proportionality theorem.
In the figure, DE ll AB and If CE = t – 2, EB = t + 1, CD = 2, and CA = 10, find t.
![](data:image/png;base64,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)
It is also called basic proportionality theorem.
The line DE is parallel to AC If BC = 18, BE = 6, DC = 16, and AD = 8.Find EC.
![](data:image/png;base64,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)
It is also called basic proportionality theorem.
The line DE is parallel to AC If BC = 18, BE = 6, DC = 16, and AD = 8.Find EC.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATUAAACfCAYAAACY7044AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAGE5SURBVHhe7b13fF1nlTZ6/5s/7r3/3bnlu3O/jx8z8/2+b/gNJDAwhDAwQIAJhCEQSmAmhAAzQEIgvdkpThw77l2ukm1Z7r333uXeZLnKli3LVrP6KZL93PWstd+z33105NjBdmRpP0dLZ++3rLeuZ693t/O/IEaMGDG6EWJSixEjRrdCTGoxYsToVohJLUaMGN0KManFuO24fv06rl2/JnJdt9vb23Ht2rUgNkaMO4uY1GLcdpDQ2oTI2q+LXGtHOp1WYiNIck4cuOXvx4jx5yAmtRi3HUJZ5qlxS8iKXpojMhJcKpVCW1ubEl67pGuX+Nibi3G7EJNajDuDwPPySY3fyWQSiURCSe1WwLwx6cW4GcSkFuO2I5vI3PKT+yQz7mt4WxotLS2or69XuXr1Kmpra1Hf0ICWZALJdEo9PpfvVokwRs9ETGoxbjtIQhQiQmry4XKTcSSzZcuWoVevXnj66afx29/+Fr///e/xu9/9Ds89/zwmTJyIkuPHNS/TUw8lRowPQ0xqMe4ofELSbSE2orKyEs/+4Vl88pOfxP33348HHngAX/ziF/GFL3wB//AP/4DHHnsMo0ePRmlpaYYgFbLN/UhYjBgeYlKLccfgk5kSmmzTUyOOixf2wx/8EP/4j/+IwYMHY8aMGZg8eTLGjx+PPn364Oc/+xkeffRRTJkyJXPllFAdsu+HxYjhIya1GHcG4ki1pcPzZxpEcpMPz41t2rQJD33jIfzoRz/C8dLjmXNrVVVVKC4uxssvv4xP//2n0VuWp9Sh+UV4pbSt3a6cxoiRCzGpxbgzcKSWCknNgRcDpk+fjq997Wt4+pmn0dTSHMQYSkpK8GbvN/HgA1/C+337RklNPL224FaQGDFyISa1GHcGwkDXr8mSsz1KPteF4E6dOoWhQ4fi69/4Ol565WXU1V8NYoGGhgYsXrgIf3j6GTz15C8xd87cyPkzaiOpUej1xYiRjZjUYtxV8BaN4r178Mqrr+Az99+HB7/8IF57/TUMGDAAfd/vi5deegmP/+Sn+NUvn8LUyVNQVnYuyBnCFrH2iREjGzGpxbjtcBcF/AsEztvi/zXr1uKJX/wCf//pT+Pv/u7v9KrnV77yFb0C+qlPfQr//W//Fr/8xZPYtWNnmC/QRVBf9pI2RgyHmNRi3HbwQgBP/Lv701pbW/XRKIdp06bh29/+Nh5//GcYMWIEFixYgMWLF2PevHl6JfSR73wXP37sR1i/Zq0uV0lmfBKBQjJLJhL6VEJMbDFyISa1GLcdjshIbtwmATlSa2pqQt++ffV+tPfeew91dXUa7sAroC88/zy+/OCDGJeXh9qaGiU15qcoqQUE5zy3GDF8xKQW47aDZOOWiNx2Qpw9exZ/+MMfcN9nPqNeWktri4Y7XKqowH/8x3/g/vvuw4jhw3H58mUN93X42zFiZCMmtRi3HSQcemiO2CgEww4fOoz/+PVv8LnPfQ4jRo5E+cVynL9QjkuXLuHEiROYN3cuvv/97+Phhx/G8uXLdRlL+ETmE2aMGNmISS3GbQcJh0tPRzwkM4JLzxVCVP/6ve/h//urv8IPfvADvPvuu3jr7bfwzjvvoNcbvfDMM8/gqV89hWHDh+HCxQuajzp8IqM+SkxqMXIhJrUYdwQkHEc67ruqugpF06bhX//1X/GJT3wCf/M3f4PPf/7zKp/97Gfxz1/9Z32gfWphIY6fKEUildQnCNxTCdTjk1uMGLkQk1qMOwaf2PhoE2+y3X/gAObPm4+8vDwMGTIkI7zqOX7ceKxatQpnys4qoXHRmhaPz10goC7nAcaI0RliUuuR8L0cbjv5MPhpbyTyP8urSrelkBSiuhnwEai0kCB/48D31Ci5l51huYRQqfdxyM6TjaiOGPcuYlLrcaDh0tPJJZ2hY57r10kuHcXiJX2EI0hIfAj91l/yqCUHZJZNaNw2cfUxAiUpOiExSqCkDuqVEy7+Rmli3CuISa1HwTdeEpAjoRsbtCMNP61PZL7k0pOJ0+82WYqm9a23fNMGScdplT0VPkrlQCJTT62dxEavLVx+diQ1SkhoRmqMcyV0RlgM9yXGvYyY1HoUaLDOwElA9JzcvpOOhp2L1JyEZOLHmw4Sjls2OmIhbaWF1BLpFFJ824aEEsxhNbIlp+YTQuP5NN68S2JLiSQS9qMtIaGZaLlBPaS0jETrHm1XjO6JmNR6FALjVzEKCffN+E2iBOCIwcjBEQRh+sJ8vtCz4mNSAQHJh15TWyBJIa1mIa0WUcEzbXy5kJNrEkYPLZXkkwgi6SSaW5vQ0tqqFw5sKcpyWb7VIVqPkOyidQ/b6rcvG37+GPceYlLrUQgJwMgpaughKbhwI42OpOaM3fT5+ZxcE+E5NF71VBESaxOSSFMkF4VvUTtcVo5lm7djT+kp1KfFi1ONUoqkT4k3lxRSS6Ra0ZJsRmuiVcPs8SuWa/Xz63+NryTS+sak1lMRk1qPQ0gC2eKMP5sAouFRUvPjLF7Si3CZqZ6ZEBp/FSrJF0ZKLH3DhEhVaxuOXriC/AXL8dL7QzBkyizsOlGGGiE2PiVK8hONSmItiWak2pLqselSVEgtVztYfkxqMWJS64HwjT1q6LmFXte167zFgktJCsONVHLrEP3y4YsceUEg1daOpHhWXGZSaoTdth09jYH5M/H6kPHolz8LLw+dgH6T52D7yQuoFZUkPvXo9EJBSoSkxt8LdW/SDcnK1ce1y+rmwO1cEkVMZN0HMan1QHwUUmsXMqNw28+XS4do1yuPvNeMpORu5GgVOXq+Ags27saIooXoPXwiJi5eg42l55C/eiv+OHgieo8twvojJ8EnPpXURHiFlGTW1p6iZtWvlwGCuhiRsV3Wto8C6w+TGPc2YlLrgbhVUiOR6HJSCSUrLiAWXnm0tEJAojtFQpNvEhqXkwnx1kovXcbkhSvw2sDR6D++CCt2HUZZQysqxIs72ZTEmCWb8NMX3kbfiTNQWtWIRqknPTvqaJdtLmpdHW4vqbE/orpi3LuISa3HISQ0ik9QN5KQRPhNHaZHl6VGOyJGebJARFLiuIQkoTWIbD5wAsMK5+L9sVMwYc4SbNx/DBeE0HixgNIosud8NYaIB/eHd4dj+PTFOFJRq6RGHSyBukmarv5RotXITL1C4b5F3xhM5CTGvYyY1HocaOTOK/kwUnNGbvvZpKaPMUkYP+ZFGbU54RLyZHUd5m/ej7fyZuKN4ZNRtGIjTlRWaxyXo41tbWi+dg1NUk6dFHX88lWMnLkUz/UbgwkL1+PYpSuajqTGpajWKCepSUxQL799llaiY/QYxKTW4+AbfUfiCsVnAm77eQyWS5abgbhzYJQmYZKy+iYUrdqE37zxAZ4bMA5Ldh7B6ZpGNF2ztCSq5LV2tMpStZnfsn9V1B8sr8b4BevwUv88TJi3AmU1TRlis9rZMtSXsN6OfMP6xqTWsxCTWg+E0BpNX4QGL0SgRMUQ92G4fCsZyD+XRgMC0XhLTUrhcrNVkpCs6lLXsKPkFEbPXIhXB49Fn7GFWLx9Ly40JXU56Tw5lkpK4j1sKcnPZSbjuRzdc+YiBk6ahVc+GI2iZRtwTsiQYL42Xnxol0UuSUvrHWgTHSQyWxIznPsmmXqLuLDs8I5xUbC9ncH6yyTGx4uY1HogaHY0WSM1IQSKkoAjO99AjSyEKTSjhdMDYpxdi+TTASQzLinPXa3H6uLDGFY0Hy/0H4khU+fgwLlKJSp6WyQuEpnqCT4Ey2S48/SqkylsP3YSAycWodfgPCzcuBuV9Y3qrfGiAS9E2DOiQR2DerJuepVWP6yrhWXSMFTrTwl9P5eG33z43uKlL6RtbW2iU4jU2mx9kA2XNldcjLuLmNR6GIwCSFzOEGmsDJFw2SdhBKbLkEBCQ2V6PvrEtAxNyr/6VJsS2uXWBOZv2ILew8ehT95kzFi7DUcqqmRJGS5NSTd80sARh9PvbhthfFr2SX61Qmwb9h3GoPwZeG90AZZs3InqlrQSG2/ucJSk1EhdgT7SI8/18T45dwtKWJYJ91kHf9ulM7JjmD1M3yrtcu90o2S/LSRG10JMaj0MNEWSgJKSiPMuNFy+jdQslXtA3HJZvJEaH0q/hoTwA72vBonee/o8JsxdjD6jJ2HI5JlYsq0YZXWNGTJLSV7e6iG5lbzarwl1UTfLkLA2EpqSGp8o4L1tUpbkq2luxbo9hzFgQiHeHzMZS7cU40Jdg6SwpShzk8Yy5KUhRmb2FhCGs60B/bl0KhbmiC0kPBIciTdoqxCbE3vu1IR9F6PrISa1HgozdBO1a4bJx5ZtJIbQg6Fxq5dCUqKnInnSkqdRHJrz9QkUn76MkdOX4Nl3BmN44TzsO3MBdW3hEwTq95AghMgCWlNic0TEsLTsp0T4TSHBOeK63JTAuuIDeD+vAL2HjMXyHQdwNWUeG2mFBGivGjK9IWkZcWkbFUZq5pX5hGThVlrYbssvPSFt5vOm9NZIZgyLSa3rIia1HogMmXlQQxUjtvNR/rd4Tm1pJHlHvxBBSjy0lNgyva/LzWms2HVIlpv5eH3wBMxavRMHyypQnbST/qQILiW5DGxrSyHdllQio7QJwbkyKOqhXZdyrkm6gPz0jR6ig7quNDVj7rrNeHnASAyePAfFpWfQKMta0grjmU4fmufSWMozQnLCVEZcTrjvwHgj75AQHfFRSGj00mISuzcQk1oPRJTUZFs+5okZ4Tgys2/xuIQomlJJNCaTSh7NYttHysoxd81mDCqYibdGTMKsVZtQ0WgPo3NJmhDC4ZJTiVKXcUKKQmw8H8dzas5TM89QSxISSwthShkkNSmXZfOqqPPIzlyuwoyVG/HuqAKMnr4AxSfPoi4heSROz9exPC0rJCij1tADM8IKSY3tNq9LJIi3fDcHtxS1N4cwb/RgEePuIya1HgiaXeC76JYZuiMB2RdxpCKhdpuFGGxNIiXeWQJ7T53DhLlL0UuWgiOK5mDn8TOoFU+GZKcEI2pTQhYpGrx6TRIgQv32jjX6byzH/pvQa6OHZh6cvihSwiW3xqgnJjrO1zWiaNlavDNyIvJmLcH2Y2WoTrXr0wtKX6yzEoyjwqiYV8ZvVkl0OzKSWBWN51KzFfX1dbh0qQLnzp1DWVmZ/hDzmTNncPr0aZw8eVJ/aJkeHJel/MX42JvrGohJrQeCxhuYuG2pd0L6YigNnH4Tr1gGhCZCsroqsmx7Md4aPh5986Zg2vINKD5VhqtpelzmLaXFqLkM5Hk3XQ7SA6KhK6kZsZlXxNJDUiN1WYkUkqGESBo9VxbEsrasz6nKKyhasQFvj8jHyOmLsau0DLVJ1tmWoek20R+8b82d9LcWG3U5b8pIjUthq38Qqh7l6dMnkZ8/EU8++SQefvg7+hulP/nJT/Czn/0Mjz76KH70ox9h+vTpGVKkGFmalhgfH2JS64EIySSgFCU1GrYJ//OWCXflkre9llyqwuyNO/DmiAnqoc1ZswVnaxoyFwJIeurnBUSkZYiB67aSixPum7ekFx1IBPoxGr0mS1C98qh5RYI03Hf1YTmllTWYMG8lXuw/CiOmLcDRC9W27BVJ8VybcIuVZ21zlOWDdeU5uLSSGutgaG1txoYN6/Cb3/waf/3Xf43/9t8+gS9+8Yv46le/iq985St44IEH9Bfkp02bpmRG+G2M8fEiJrUeBpouiSuX8IYKWfypV0SyIknUiidTUt2IvIVr8W8vv4s3hk/A1qOncLG+BU3i3uiyMBASg0NnBu68GQq9HJKK86JIPlyacvlnNRVSE9JgOiVBCXVl8VGr/WWX0G9CkRDbSMxZvxMnqhpRJ5GsOzX69cmG6hbyTLfLslHK89M2NFwVL2wannrql3jiiSfwwQcDsGDBApVZs2Zh/vz52Lx5M8rLy7V+bIvWL/DWYny8iEmth4HGzDNUPpm5rZRIUuLpDZE4qhJpbDh4FAMmz8UfB4zHe/lzsebAUVSn7Oqmek5i0LbkFD0iYuESKvD4xCc4903YrSJcHgaelKYj6VEC75FphCxIGOq1STrWjWXXpK9hy7FTGFI4D68NGYepyzbhbG2zemukFtXq1SMKenMBqfEcn5ewuvoK+vfvi5/+9McYNGgQDh8+jJYWIfGmJly9elW/SbSOzAh+U3w9MT4exKTWxUDScR819E4kTJMNlyY3LBeXczyXlBbhPWF2F797VRCfDjhbXYsVO/ZhyJTZePGDURg1aymOXmnU82sUekNKfmLEfBbTeSm5jJphuY2dYUZi0TozPUmCxGE6M6QhH5IV60lPkkvjnaVn0X/idPQePgnzNuzEubpGjae0iVpdyopHGJZjvWCemvRBFqlduHAev/vtf+CRR76rXhkvBOQC62Ow+oZtsDKiEuNuISa1LgQamu9BOW/FPBkajQnNOpMmMBgjjjDNjQ2JRBT8dkBbSm+bIEk1ifBiwInqBkxfsRFvjZiADyYWYcnWPThbV6/xNG8lNMnDc15amivbI4Y/HznIINDPMumtubrUpduw98wlDBKP8o3B47BY6nuxMYEmSa7kpm1NCLGRhq1/9HyaeIF8O6/d28Zww/GSEjz2wx/in7/6VSW12tpaJTYKfyPB3YSbIdrMOJnu3HI7+ybGjRCTWhfCrZGaLSFpSE64VDPDym1AzuOhQeoJchq7bJMYKLWSdfPRUn0Y/a0RBXoCfnXxIVQ2tWrJpISkbHGZ2iZ1IjEQRqh3z2hZEgmVt40k5Zu9wxdRrttXivfGFKL3sAlYsm1f5rcOmnnbhZ6rY0rmZk8Lsct+gmQl5O4IisvKPbuL8ej3vo9P/NdP6FXO5557Di+9+BJefPFF/P73v8ewYcP0No+w3TYuN5a71z89HTGpdSHcGqnxE423c1QST6Gx8S8wPDVl+eZ5r5QYLsmMuShcxp2vb8aGQ6Xi7czCi/1HYPTMpdh3pkJPvBuZ0evhMpWXE9p06WYEGpZxN8FbPtgGXumkN8Yl8ZXWdqzdc1Q9zL7jpmLToROoaEpo+5yP5sD6qrea4g+6pHSffdfS3IxVK1bi4W/9C/7P/+Mv8ZnPfAZf+MLncf/994vch//5P/4HnnrqKRw7dizQRLD97Ht3fjAcq1B0BDyJcacQk1oXws2SWmgYJC8/XjTwdgZ3n5Z6H7yRVbw6enNMJcabljStfCBd9nn+rLyhFUvFs+k9fIL+GMrcDbtwuLwKNUmSmGnmcs9qZR8tMyA1wnSb3A1+IwnxVgye0wtJF6hsTgixHdYH63sPy8OGfcfQKPXxiY09QY/MHlDn0pOtM2KuunIFUwom48tfehBffvBBDBo0AAWT8zFi5HCMGjUC48aOwapVK1BdUy15DEqQehOuW+Jqb2gfObExtQ9H2dXE0sa4nYhJrQshF6nZ63SMQMwz8g0hNBzbFpNpEwkITfOI4dM7sxtZ7cQ5zY7gTbNbD5dg8uLV+jxl/wkzMX/TbpxvMO/GiEIMVutl9WMZmTK1PiFCUnP1u7PgPXB8hIseG9vkzrNdSaYxb/02vDZoFD4YX4TNB0tQk7I2BD2lS3CSWlo8NUdE9HSPlxzD0MFD8Oj3v4/XX3sNJ06UIpFsQXVtFWprq8WTa9QLC/qkhORy4BVa+/k+1oIlhf1EsTHlKQP2ptXC5O70VU9CTGpdCLlITUX2SBRGFr4heAQj29fEwNt5qwEJjXGqg2QmHpeI2LUaPz20uuYW7Dh6AsOnzsEbg/Mwds5S7D5xQY3fPUFgt2sYIVKb1cE3VquXg9WOrQjD7iRYVqIthRYhpoQuqe3+On1ZZV0DFm7aiVcHjEK/sVNRfKIcTZKGPaVep9Sby0/eaJtOs0ckTMhq+7at6PP223juj3/CjOkzUF1VpXEkLMZbX8uIsE9Eh10kISFKPwuxsU9YM61dpp/CMdVx1Vq4dHenr3oSYlLrYjBKsA+pxIzHqELjlURCo3GGoYQjBERPwX542J6h1N/eFIPjmzVoupRLwlj0yN4VYx8iHtrctduw73Q56tI0OSM+9XxEJz0SGq4ZnzNClsfyneHatoZr/J0H22tk3Y5WPmzf3IRWPn8pca6dp6pq9RfgXx80BnkzF+JwWbmSnsZLn5Cw+eaQ9mukcOq8hrVr1uDZZ/6gMnvmLJw5dRqVlypx5sxpff7z4sULeq+auyE4meIPLaeRSLSiWbw4brs+8sX/uPEL+zPG7URMal0YpDIaLr0KMwYxARIMCSTwAJxRKKlJeEhosrSS7QSXRUEqejB7z5zDuIVr8eqIKehXMBcrdh7G+bpmjVMyEz0ULlUzS0lXplIeNVl4SGpBXVRYN0tzJ+FIjQ/Nk9RaxONqbm1CS1KWzrL8Zk2bJc2x8goULFyB90ZNxNTFK3G8olLbynjeypKWfrIzh4aiokI88I9fxH2f+Qx+9pPH8adn/4QXnn8Bv/3t7/DMM8/o0wWbNm5CQ0OD1oEkRi8umWxFS0tTQGofBvZPTGp3CjGpdWGQ1FTIKRmJkkloFCS0djF0uzLJhRZvqKUPQqlLpnDo3EUML5qPX776Ht6bOAs7T13ChfoUGoT19PyZqLKH0Vmq0ytQogpIKwh39QiN0yc47t950IPkLRmtQmRpWYaS1Bqa6tGapsdmFxBaJM0Rafe0JavQf+xkFC1djbPVNdpOxvP9bXzlkZKkeG6FhZPx4JcewN/9z/+Jz3/u87jv0/fj/vvux6c+9Sl8+tOfxs9//nPMnj0bNTU1Wofs8eD+h4NpXL/dTPoYt4KY1LocnJGQVvixac8tUk0o9skYlNIYnw7gyxbt/i2SGb20yqak3m/Wd1whXh6Uh7y5y7Gt9CwqW9vVa+FruZPi3bQJe+o5ItEbEpUzPCc+uB+kE8nUSeRugKXzPBZvIk7QQxNvqTXZgpZEMxISRgpmTVra2nFUiG2sLEHfHjEBM1auw5nKKxrHU/f8mb40z8mlEigpOYJFCxdgzpxZmDVzJiYXFKAgvwCTJk1Cfn4+Fi1aJGmOorWlJWh9tL869pEDw53cTPoYHxUxqXU5BCQl4k/4jqRmYqRmfpn+F1KiB0JzaZbspRcvYd76Hegnntkrg8ejYOkalNXLUkniG9quISHpSWgp3gYi2wZncB3rEQXDLS1r47b4uZugh6XeGi+UkNCFnBIiPGfGF1WyNi3yb9exkxhaOE/fNDJn7RZcqg9/Q6FVlpBcxt4cyVgbtYekvOjLJTvLz3DXr77cTHkxbgUxqXU5kKScgbhJbyYU+kG+8EMfjWLeGU2zUTyYo+cvIX/eUrw+eAwGFMzGyuKjON/Uonff68lyUa0/b6dLTmdcuYyvM8Pz0xp5sE62dXeh5CLlqkjfcTmaogTnFElcV9Nt2FxyGoOmzsM7YwqV7M9ftdcntUr7+YTCzdXdtdV6wF9+WkguuBzZcjPlxbgVxKTW5RBOfjMUftvkt/M+QkA0PvVAZNF5rU0fAeLpbhovDbQmdQ3rig9i4IRp6D10LMbMWogtR0pR1ZJS47arg+bR6e0agTdDcMtdbQ0/PriXW1xdrb63Bjs3ZfLRENRBProEl37hK4Wct8Z+YbuvyBJ7Q+kFvDC4AL/qPQzT1+1BeUNC47X/xOtN6e8kyPJVSSqEGwcrx7ZCsO7Z7XapLM4Rn5GfjXG2lhh/PmJS64LINgDbpwjhCKHpo1DcFoOgJ0IPgwTF95udvFyDZdv24v1xhXorQ/7ClThy4ZLee0ajpWHTgHkiXTSrDvuYeXFfb9SVb25bvA9L1dEgabhhfW8Vt4PUeDtLuj1lN+Rqn/BKrvUNPVi+0eN8cytWHT2HPw4uxLd/+y6e/mAKluwuQVXSfusgKS1PXuezoik9YPit76x+Yd2DgAwYYH0VHc+Y1O4kYlLrgrD3h9l9UI7gGObITP6pOdA0dOkkUieWW3LxCmYsX4fXPhiO98YUYHXxEZyurkd9uxk2Sc09ISCmRVPLCE3LmSDj/TRRs3Opsg2SRu2MlnG3hs4IwyEkjuw03Lc68VwaLxLwrRzqnYmQqCg8h3ihJYnFO/aj15givDRiBl4cMRe/7jMe7xcswLaSs6hO0eNln0o+aQe9vA5XggO4evCbFyvapY87wupFCfvGJHcfxrgdiEmtC4F2wts3+LC2vsJaRANpVjQwEfXUmEZCnWlcbm3D+v0lGDNjAd7jjwlPKsLa3QdRneSZNkun3gqXYmqoNFP7+Df36r6IlBIKjVBLsXp0FENEl8itIjdhuVKo28QnEyuH/STeVSqpVz/5iiH+nB/vzyOZkcj57OeR8koULluH14dNQO+RkzFn8z5sKilHwYqdeH3ENAyYPB87Ss+jUVTyQKFkKGWwr/R8XXBAyYiUq/8lzg5A7GWG8GP1drXXcD+viB8X4/YiJrUuBM51JTROfN2X//rHf2I8Yjj6DjDZpTnT8C7UN2KleGR8MoDnzybMXYKDZ8p1Kcr4DKmJUfK2hTQ9voxR0VCjngON1VGafq6bz+biLV9HBNpUrPa3B75e1a11l3DpD/cERTqdQksrb+dI2htIhNT4RhG2v6o1iV0nzmHiwlV4ecAo9BldgJW7D+GCLEN1OdrUhqkrtuGVIQUYOXMVdp+qQK33Q8zq4bLfM56z1EO+3aUZbvkemGv97euBGLeKmNS6EGgwbXq/GD2ewDjk2354hGRjy0I70Q9crE9g9uoteGtkPgbmz8SCDTtx7MIV1PMXkiTeCE3yiFHyxYZ8Qy31mdBAfbIKheFdhdSIiG6puwPboB5aohWpdBtakmk0JVP2CJTEX25OYeOBEiX8N4aMxeiZi7C95DQqhNDqJU2z5Oe5xuOXGzBl+Xa8MngShk5biP1llaiTg4s7/6i/PSp96IrWcdK3BvPyDA8SJDwT7VumsaQxPgbEpNaFQINQL4AExu3AkHnins9hklJ0OSWy8+R5jChajFcHjhOjnY01xYdwqb45c+6M36Qmvq6a7wvj4zs896PeBkV0uuVbtiipZYSkxnBnqrkl+/NRkSsnw9gPFEdqbIc+cymkxucveZ9dgiJxPH9WerEas9dsw6D82eg/fhqmLV2Lw+LBNkhTmuTA0SgkWJ9IoqalWQhOiK2yHhMWrsHz/UfLUnQedp+9lHlTSVKKJH3pmKh3KGQvBGavdHL9ZAceI7XO+oBhucJj3E7EpNbF4BsFyY1k5rwuGldFfasQ2iUMLFyMJ1/pj34TpmP/6fOoS9OvsnR8vRCXsPQu/Jcg2gltGmVgfCrBsokSUEf2kso3ROfhhXEhGYZy64bLHBQlrqz8Ls4JQa8zESw36dkmpV5cbtal0jh0vgb5izbjzeEF+GDCDKzedUC8NnvYnU8X1DW1olkIrSnRgiu1tagTYmsUz+xEVR2GFS3Eb3oNwpj561Ba16QHED2/JiXr0r9NPF4R134SnI2Zqxv/5+qHzsJj3G7EpNaFQOMg4egRX/bFXOxljrJD+qhsaMbSzbvRe/hkPD9gEsYv2oQ9Z87pctNRj/Py1OiV0PiOL5/EskVKCZZO6nGIJiW1jAFGjfDOkZqjVJGgbg7ccsJ4TSvx+jC7eFwJISQST0P7dWw/chIDJ83Ba4MnY4IQ09Yjp7TfeGAgeJBICPE1NQthNTWguUW+W5vRJETFCwo7T5zXA8bzAydi4tL1OHu1OXN+jXl571t7O0lNPFjtN/YDa+Tq1lk/WIqO4TFuN2JS60oQ4+DFAF5xJF04D61B/vG1OTOXr8X7Yyaj15AJmLZiC8oa7RYEt+Sk0enNuWLsaZ4sFw+N5+iMvEJjCgmNQlKjx8HzQVxqiqGKRM+jubymJyS1MLxj2luDaJacN0dqUrL0UdhuktGJyios2rQTAybO0N9XKFi8HofLq9XTYhqSHtNTB//zVUFNTY1oTQihicfWmEigUQ4OteLm7pGl5/Dpi9FrRD4Kl2/CsQr7oWQbE+lfEhsJrZ0EF5Ia/7utUByyw53EuN2ISa2LwRk2DVHvP0umcODMJYydtRivfjACQwqmY8uB46hKpOB+qo4Gq2e+xLjUS5MlGV8WSQ+N90+ZNxESUYY8RJSEAqIy87f3WyjBZfKEEhKXkVdonoGuIPxWwfyuTtm5TXMYz+U1a8rzZ03iqR25WIkpS9fhhf4j9XXkvLp5SZabXFK6iyq8eOBuZVFtsk3Sr29oQJMsP/mSSZ5j4/m2qyK8BWTMzMV4od9oTF66Cecb0trXbJ3e0CuExiuijtRuDVaHj9pXMW6MmNS6CNw0p7GSOkhUfLvGsi279M2tb4vXMGn+CuwsOYWrCRKP0Q/vpeK3PgUgBuY8NbfkvCaGne1dOXKgaKkZwsoWP59L44zRDJIaTFwLLPyjINQVBfdZMvvGCUvhM6zbjxzHsMLZeHXIOHxQMBer9x7FpaZWTcM+5I20rULqCRJQpP7yX/onKQeNFvHa+PbcllRKz80xFZf8Ww6Xou+46eg9YioWb90vBxIeOiyOP/hCksz2Km8OTP/n9VWMztENSY3mFX5s0uSSGyFX+qg2PzwKPzyXEFY3NQr55tR2xsolEu8x49MBfCPtOyMmoffQcZi5ciNOX6lTr4PplczEWPXKqOriRQAuiUg+op26ldjMcEJiYomuXNZH4oO40NBCieQLdPkS3fLzhjE+mM7PFSLc1xRBFL9YT9aOfUOiolyorceq3QcwePJM9B42DqNnLcTuk+czJ/bZT/Zr8+JVSf3t6QBph2pz9TPw/j2+1UN/2DkoiymuNCewXrziQUKWH0yciVV6hblJ9fvk6m6KDhG2JTesVTfqp464UTo/rrM0PQfdhtScIdPw1MB575BMz9B8aZTOQDltOxt4hrsJF83jacpK48qWcBo+9WsZYRpfaDasH2+E5bu8zKMwQ6xJX8Oh8ssoWLQGL/UbiX7jpmHjweO42CBLJNGfMSRq0baaaFvl2+8Hv+5h+dZuraqmC9N0TOuL5esc1ie+DtuO5mVNra4Wx3oQtm+tY7h6mLInoUo0JDT3OFhZXSvmrtuOVweNxlsjJ2KheLMnq2rQ0Cb9KWmU+ESHPqwveXOJ3xr2g14okdKsftbP1FPZksSaPYcwuGAW+o0vwoqdB1HTZvfBMQ1f9cQrsDyHae0Maq194Jfig+HZ/Rvtp47oLN1H0dW90X1JTaacGo/8d2KLGCedDXp0kvjnlmzC2yeahkZB4bbodhJJZ3rb2lP60HUbSU3q2iwG0RRcvayWpRBf5jh06lz0GT0Zo4oWYpMQWlXSbqZVIxI9bBW18b/dH8WQoK1eP7h6a50i9XCIpumY1pfO+svB77dsnWFe6z0ZG+1XSZuJYv9JH9Pb5LfkYU0kt7abhM/fID1QVolxc1bg1YFj9XYW/hp7WX2DEhDT89YL+/V49gvrEkL7K5Boa7jHkqy+VkMrnyTJ1xMt3b4XQ6bMxcCCeVi16wBqE6yRxEvWVLvdM0chOVpNrN1+2x0sPFc/d0wborN03PbjcqXpWeiGpMZJy4lpEk7jXIPemYTpfHIwnR11aZlCaCGpSXjWpKWh8l32qXTS3gAhumiANI2rkuRszVUs37EXAyfOwJtDx2PqkjWyBK1Gk8Tr22mlWklJ57wPhyh5cdvqEw336xJto5+mY1pfwjKjcPpCnZSozjCv1Exi7cNtF6a5pf/aSPC8uCH7jh5aJbL8agu2HT2D/IWr8fqgPAzOn4Gdx/kQ+nXtH/PQSIAhobEEH1a2SYcYr74cZ/7nAaRVpEnqf66uEWuKj6Jv3jS8nzcF244cR0MiqeWyjvpr98kE2tVjc31AvdkliQRj49KFEk0bpA4kV9rO4rLjKT0H3eicWtagBhPHkRvFn7gd0ucUf1KYvmh+m7Rmoq4Mm8xRHdeQ4uM8rS26TKHRyX+0iB6S1umGBCav2IhXB4/FwEkzsWL7PpRVXUVju91/ZcspElqg0TOWbPIK6+ZLkFYlasAd036YmC4Dt8M4X29UwjyZOuhHc2VISM8x6gn4gChEGmXjdFWTEIo97vTOiImYJX114lIVrqaESCQN+8cI0I0DPx3Jy/WbXx+HMM508MOH/1vF82IZfIvwycpaFC1bh3dlyZs3YwF2l5zSB+C1rtJO/h6oeZrsC8nAYijSJlcRvUIteiP9k7O2RNi3vvh5M4oVWlhGwnTc7znoJqTGSSMDx0FW4bYNqiMbSjjInAzh4Hcu/oTJnkwWz7lrRhSUI3GctFoHiec+CS0hyxVeaUuKIfJ+MsbSw9hWUor+k2fhhaETMWzGEqzff0x/ZZwGrSL6WZr9IIrVR+0l2M6uV1g3X4J8KqxzuKR2oSbZ+XKJ6TJE8/h1CIVxBtZZUplhB0JCs8fA2HvREngOjbez5C9Yj/fGTMeAidOxYMNWnKuqzZTKZaItFWUMpDxbinOb+lknajKExOW3wRDGBaQmfcRTBHzZJM/PkTjr0+04dr4CM5evw/tjJ2PCvKU4cLYcjW2sgZGqXbDhHJCyeV6QIp6nfqt+lpXVV5LPJLterpVRsXwcQ1K5n4fb2eko3O856Dak1mGiBKJEE4gf7g9+5xKdMB3zM55T0Sc1HqmNNJTQ2lJoTtgbJNL0vCRbkxjHhasN2HXiDAZNmYlfv9EXw6YvxNHL9bgqKmnMrZLOvY2D0929oYPGGjVMfluqzsXS8j9ra21gf7k4J9n5conpMkTz+P0TlmHp+U2yJ4n5QjLjOTAjJtNEArnSktQfIM5fsAZvDS9Av7xCrNm1H3VyUCDZ86KJnjtz/Z7peylXCCU8xxnW1/WbH+YQxoWkZnqlfqKHL53k+TP+1kHphUrMWLEBH4wvxKT5y3BIiK1FiMs8RmkHb61RYqNIHbicpsi29Zkbg0CkjFsnNROnL5Rc6bjfc9Btlp9uWujUiAx6x4mQSyJeXmaCRKHTXdLYQ96mW42AV84CcfpoEMk0732SZScvBiTTaA6uzpXXNmDuum14ddAY9Bo2AQu3FONExWW978p5aCQ/0SRlUT/LFI2yvOFzh2YcUnpw9A/hT+qO9c+AeQIx4jGJ5ulMlx8e7Vc/3M/DOiqhcXnGflKyoPC/Xdl0oi9zbEhjxa4S9Bs/G++MmooZyzZib+lpVDU2K3GwJF51JMnzTRl6hz/7nCJ949+n57ePYZlw+ciWCj9+3bPbxPT8pS3em0bfiM+PllbUIH/uMrw5JA9TFq/G0QsyfqJGl8GS3h52D+aDEq1si+j80vq4MlxfOQnrEQ3PLX77LMyB276enoNuQWocMpkegZl0nJQqXlguiZJabohm9S5sieMmPA3IIzVOYAnnJ9GWRlOKZMZzaPz1pjbsKT2BwiWr0X/iDLw9egrmb9yBWlqCQMlMRB93EjFCcyLlCCm0C6nRaI0oOKmlypk5yw0nN4Cb65rf64NIPm67hJ2Fd9LXWeWb0bGfjNTcSEku9WzcIornrQ6fv4QpSzaj14gZeHPUTMxYtQ2nK6u1XwhxckUkr+i0R8q4TBR9Oi7sE7/PnNG78WEduE8aM0Kj8NOhTaxnpk3yX/LoO+nkm6H0pvceP4tRU+fitYF5KFi8BmfqwnvYeM6URKslOH0ikLpE56LpN0TrcTNw7bvxUtQP7/7oPqTGSa7G4k8Y39CCydWJ3CypOcnkCcoLSY0TzAyWE5yGWptox+XmFiG0UxhZOBO9h4zFpIWrsfdsBeqEoLikYVqSmuS2VogBOfKi2NtVjRTc8obhhPu+KTCpGLuTSB9opIMmDKSz8GifZqdntaxuDLM02k/8ljTOO6P3WptIYe+pMhQsXIkX+41B7xHTsHzXcVQ0tSmBaP+wH4J+oSiRBR8SkyM1guUagbHcWyc1HUvXJqanPkmXlj6jF836NLVdx65jZ3Rp3HvYRCzZug/n6u3X7nlVm1djpXTVw3lBnW6eWb0oVl9DtB43AyM102X5HXxdfnj3R7c5p2ZHaje44WD6g27bkk4mNie4H24D7yQ3wmkSTFQeIUlDwdHXJqtMXvnQWDmxeYf7ufok5qzZgreGjdPbAeas2YYj5y/rkwOEGrYsaVJ8fRDrx48apdVN6yxi59VoHAwzQwtrFcLFhfGuH25OQp1BayP6CF9v7j7U/SAs/LAdXCryXJrdzkJyqE5cx9riQ/hgQiF6CeHnzVyK7UfP4HKj/cqTIz++lUOvHmu/uLJCROvJb9Zd+kuFJBgI2+SJtTHaDsvr2mS6dQxE1JMOYmoTaWw7fBqDJs3Bm0JsC7YU40JzCvUSR3LjVWstj+VKvWVDc4a6TX8IF5Yd3hn89CZh3Z3crK7ugW55oSAcYPnvhdu2TM4MqdnR2CbAh4MaRYNOUkdg9De0TOqWcJqMK71ejur7yipQtGoLesmE7z1skiw3d6P8aqsaK2vKx3f4ZEFaCC0txKZkpprYJldvEflwSapvxaWXxT8WwrqohAiN28WJNk+XGblru0tLsfhQp8sbpokizBPtQwu3FkpbJJ+eZ+I29UkoU9PoSyuuYN66HXh/3DS8NXwiJsxbgSPnLmlOgqSnP6BCCUhNyUG1RBGtp5WSITUdmVBYk2gbO7bDbzO/dd64cZZ9khvJlm8J2XTgOPqNK8JrQ8ZjmhzATte3wr1wQEuTfHxjCvtCNZra2wwqde3wx/GOFNZl0W0uFPgT1IcRWThh3USlYYRLjJsbdKaiUdIouEUzNSPhx4yWZzZoiLXJNA6UXcD4+cvxIt+uMWUudpZeQHljSu9tojHwyh/fFMFXbdty0sowYT3DulsZFq6GQWJTWK1cu0KxvK5PnB7VFSyFbD/M49JmSzSND4Y5vUzrEOpiOD0rno9i3zhpkPaWXqrBlEVr8HL/Eeg7dqo+gnS6uhHNJI9Agx422E+BDtGoOqPl5ULQL5kxigqJydXR6tmxHWyv84qtrWE6bROveEqU3kCdbsPWY2f1TSG/e2cgluw6iEspexOvzgkZL/4SPg9iJLg7Ab9+lLB92ePWvdGNSM0mXvYA2kCbEbvlnE1ik2g+ExcXNWILD467MjFlKajCpaadP6NwApfXt2DJll0YlD8d7+n9TMtQfKJMXyWtnoeIkprUJ/v1NX5NwknJuljdWbZ+q7H59Zf/8kU9VndOan9iZ+tyEujLiNNnovpcziCN6QglTB+Cudg2fZW4eFd6n52Es/01wgQ7S85i+NQ5eGOwLDdnLcKmQ8dwqbFF46nRah5+9D62oI9ylZcbri8C8T8a5veDLy6O31aOC7OaMc68zzapLOtM8HG2ueu34/n+o/D68AlYf/iEng/keLdIOvU4OeZKbFYPgkU4MXAjKla+iYV1hKtjR2GenoNuRGq5YQPtSM15ZgzjRHHCQae4CZtrMshE0jDRI9/O+9Dfl5RY5uQELqmoxIzVW9A3byreGZWPWas34lRVXUhk+k3vg8sXmquboMHkzWwRrl6dTVaW6vLLVtCWMC7Mny2+jlAYLtEeVKd8glzabrtgwWV3x/QE89BwU0JmFG4TNH6+aWTZjkMYVrhICG0cxs9diqMVVboUZd/YCFirlMCDkrmXo6gPRTjG0dx+P+WScK4YXHqrXVgfquUylHXn+Fc0pTB/0x68MXQCBhXMwXYhb76kgG3nr+JzvugpBNFnBwlpoehwQrCssJyOdWPZudB5m6in56Bbkpo/kTsbaE4MxtuVNE7JXBMoezKIt9CelmWHPYyuJ69FeO6Ev05UcrkO48RIXxs4GiOLFmDDgeMob2hGk8xBprNpSo/DjtZ2USBaT+47sTqZROsVij/Bs9vq5/fFT+OLr8uBdVMDDOpE78vulWPrcxsX28bbWfhL6Ubi5qWcqarH3DXb8NbwSXh39BQs3FSM0zUN+rZZd2BgGaY17JNo3XOX2Rmsb3NJVLffD6EwzoHl+vWweOpi/3CZzDbw/FpZXQIrdh1GbyG2PqMKsPtkuT4/StJjX2hPy767ikvNql3+qT7pPx48XTnhqQITS50LqiWS1sRvR/dH91p+6iRzR0FOtujkte2okNAo3LZJYXnsnBvT2ATSSSiGzJs9eV6E78V3BntZNhZu34c3Rk7S5zcLFqzErpIzqE2IbolnOh6hZXrJR3TKFr09F0JQv5YbpKBYvJOwfmyLE8tnOiwst6FmwkSMpOwTTeP0hFD98iEBh297NVHj0w/1Wpuom4TPHxPWu/5FB68A7z5RjnFzVuL9MYUYPW0u1u7ejzIhND77qldBpWjhNtVksHZ1qL/ovrFYjahFJWca0+VL2A8u3mnw4cIsvXnulp7Pq/LA5TzyiqYkpi/fhJc/GI3+E4pkuV2q4dRs3zxAyMGNj1gF4+dKs32mCMYqU7ewH8K6uFyE5esofpruj+51oSAY+MBcVWzS2WQwI3Fi4Zo+IDB3hz7F9mWyBsSmxiqERu+Dk5dE1SRxJ6pqsKT4KF4aMQVPvPY+xs5bjrPVjfpmCZbKdHY+SGuj9WCM3YjJFAyzSWexVm8TtsXE8jo4PVY3iiEMtzhrn2u/homE+pnXT+OXYVD98s1+0KWkkpn1i5KbeBTukSL1QKWdbDO10cB539byPSfxwZQl6D2iEBPnLMehU2fRJHn56uy6RBItYtz2yJPVMNMabZuE+PX36ptbTAN1qAT56fn46Zy+jnq53bEfQjjNzBfmoZdFrU4zvfcz1Q2YsnQ9nn5rAEZMm42zNbXqsTJe54X0IcXKcxKCLXHSWb2jebidHZ+dpvuj+5MawwMxI3HCfTdJLMze5899CeG+TjpbKtoFgeD9ZxLOc0DHKypRsHgVXhiYhzfypmP+jsM4VlmHqykzUJtisq3n4UyvlUVPJ7i7Xusc1EH+k/ycUIsTi3UIJ69rjyEMtzjrj7Cd7BHXN1ZiaPSuxganlyF+ndySiV6wXQFMCdlzmUkys3NH9ETofVUl0li4uRi/f2cY/thvHOZt3o/SS9VCZAk0pZNoFT3N6TSa+GPEQphWL62V5HZ1COvntyO7faGEGlQ0v/Sz1MonNl9PVBf3Q2T6QSQKphM9Xj7rL/HAZJuviuJph/1lFRg1YyHeHDYW05aukiV4jc4N10+82KA11vzSrzK3TKgpUzv5hHWNil+vMEfnabo/utXy0yaGTAhODv3mdAgHNzNB9eSFP+CSSsJsMskEDSaWkpqk41saEpQgdbUY4pri/XL0nYv3x0/DkKlzsWbfUdTIbOVk5c/a8SqXejNSF/dcotZNwnk+iktZd6+YHd+DejBNRiyfy+vEpaWE4dwP22rt9fMEYSK2LJfdTHlWhuk0UJ8u4SUsQ7LcZ5u4bFIRMhNC0+Wm9B8NmR4Ib1k5VHYBU5esFWPOx5sjCvTV5GVXW+z9cKKjMZlAY6IFzSKtfJU2PUCtndXJ2uO3z8RvX7R/nFADP9Yay0dS44HFpWcahnt5VHcmV0ZcnIr/kXxuDmX0cGzlm8+JJkVaRGpSbTh09gLGz16EPiMnYMbK9ThZbj+UzB5nf6lm7W/Jr/MjEO3/IF4+2XW7Nek56FYXCmgHSlpukok4A1DRBNzUhLJh0AmlYdym0YonJZOKhmzHeFtK1Uv8xdqrWLP3EPrkFeCVgWP1J9RKLtXa3eMiLJFHX72hVo3e9NiEpV4jNLdk47moDvUMxG+HL9YIgxmcC/fzh2ls29fLhlq41Ew+UjetuadXPqLV6s502keWl9spaRvbyDQ0THeSvKKpRa/4TZy/Ei/1H4UB/LHlUxf1/BoNuT6ZRkMipT9y0tjcqL+7yYe/CS1Hy2I5rj1hnbRWQVsprt7aj5nwaB6/f6jXtUdLiuRxYN6wr5wwfXZ5UVKT8dTx5XKcpyqu6UsMWtqvyzL7OvafPKvvYOs9NA+Fi1ejTJam7DO2Mhw5v67BvNG6sh1su98XDn59c8X3PHQrUjNw8MPJEQ64CCeFzhBuRieJ2+YUIqG5c0MkNEdq5xtakT9vKZ7rOxgD8mdh4baDOHj+CuqpXiAlSimmh4ZvnhonpoZofdyEZSjTqqckhuCWopH6dhBnAn69O2mrl8a2s8Lli232DdXFWWprC+tvtbX+0nZJmN4QK9vqmUoGerGXmtNYsrVYb2fpM3qK/mzdobJyNPMsukDJT7zYhtYErjY1oqW1RZfhVi+v3EibgjrJl99Wil/3MDzadj9Pps9Fov3G9NY+yx+KS2P5c5UXSDCG5qnxDS0pkTZtbzPPHabS2H6kFH3HiOc6dCyWb92NinohdCmF/cJv0WLzIdAZk9pHQzclNZuc2RNUAmzc+ZU1SbjNCcSJRe8s43WJXE23Y++JsyhYtAqvDRojRjsFq/ccw4WmNiU0GjTvPaPfYhOS5bEYIwDq9QqW/xam51MYz6VGIHr0d8I6R8TTEyBqnLnT2DbjmCYIly/tAwljXq23flxqq6Uun3WL+6JB8qgnKtskevW+JMOh8xdRtGKj3qpBUpuzegtOV9dpOubjvVy8A5+G3iRk1igeWvhjJdRuZWs52iYTi5c41tULVwlqpRL0geXx84VxbIX7+HoydQjSWX5KqJNyQ1ITIakxH/vSLqrwu13f1NIi9b/U2Iy1u/dh4MSpeF88/WVyAKhskH4ISmMfuTlBfXpPYFA/nZ/sA9mLwupukh1rfdDT0A1JzR/m6KTubIAtvZ3g5U2xnGTOA6lobMX2Y6cxonA+nn9vCCbMW47jlVdRyYeWkzJpJV1wxkY+nIh2AcA0hobgpiPP5ymRyb4SnpSn4Zy04tlJQEZcvW9Ud1d7k87ThLpYsqW01JIviGOtrNZWc1d32zKyd14Fv3mF76L0w56zFzFm9hI8328EBkycic2HSnGlJaFLcnpp+lC3tI9G3tLaigTf5R94ps5DZf+wPlo2jTcQq6WEurprWC64PnBpTSLhmfZYeSH8MqJi4a4+0fBssXAKtVt70208vyreaSKJq7IcrW9rw/o9B/DemMnoN34aVu7aJx6uPQvMeUenlk1UEg36RnXLh/9ty4fV3cSP6Sy8+6NbkpobfJ0AaghuInYcXJt+TCuGKkSivw7EbZGzNfWYu3YL+o0tFO+jEFOXrceBc5fVM+Ek5GQVzVqOM331eDgZRfwHqa0EgeS18pjHynZQg70JUguNzIXx+0aT19dlZTuxfCYkW11u0qBYO/adfNQzk232i+/BVomR8gJJ33FT8crAMRg/fxW2lZzFZTFgpqORJsQ746NEXJLpEwbptJ6ztLoESzY1XpbEWki9WL70rZ3Dc/ULjDvT5myE7QjbanmccGzCc5m+HtcPrgw/v0vn96Efz3wOlsa8bImRuvIhdp57bBVvjRdT2CeXm5r0N0RJav3GF2LV7v242NBopMZ8Iqyfmz82U7Rn9H+0B1zdLVeIzsK7P+4SqbFTnXSGm0lD+Ol8CcFht49s01gyhhGmN7KzqcIPJxM9Ck4sLikPll1EoZAYXxU0QCbe0i27cKHert7xx0BotDrNqCf4ZKachNGAbEmnqSw8QFCDzCcDbqq3RpEYraOJRRqsTSZBiCe54HQF+byP9QvjaKTWHj2nqLecsP5iaBLOE/1cZjM1l5x8Uy+fbx0ydRZeHzIG+QtW4MTlOvXemE49D8msNZdvvS1GjNvKZBjL88VitFbc9sTaFcTqfi74abL7LQwPx8TXE6Zx6UyiaTrWOaSgMK+ES1t1m7Eylnz7it6TJgGtopMHzOpUO5bv2Ie3R+bj7VH5WLn7IOokzHKS3Gw+kdRIxG4e8cP4EFpKIH4My7c80fDuj7tAam6SuAmQG9E0nQ1C7onFvB8+cGE9KLyFgFcnzSsxz4zLpSuJNHacqMDQoiV4bcg4jJuzFMXHT6M2+Dk09VakKFuG2bRxUCPktwjDbe9W4Lcv2iYrqaNGV96tluTAssxbYpksXwieyybxqHi3O70NEj2JjIR1VcIOna/E5EWr8eaw8RicPx0rd+5D+dUmNEuVnYeWPZJWx49ay64Af2xc60z8cJtj1o+Z/pQwJ+wbzh3OpSuJFGat2YY/9h2JD/LnYdeJclwVYqNWSycEKDr1leXOa9OyrR+zy3GicSKcMR9tHt7buKuk5g9INiyNLUs6S2O6mMbSheKbj0A2w+ULdbt9ThNJL0PNJUFCDJTLIzdFa8W1WLBpF14YMA7PD5yI/KUbsO9MORrSzGNpuOWLThpXiP4xzCYU89waqEu05mgTtbkpGg0P5VbB+/H4S1ckMJbn31h7jdsSn5Zq0PMiWV0VWbFzP94ZXaBveh03eym2HjqOK00tAcnTGGnEH6XtXR3+2LgZE4x0JNxabuRi8ea18+DJD4mKc8f6q/RKLfKXbMarQydjyLSFKD5xDk2yXjfiE+9Y5qw+ydLGH+6REJbB/s2I7oYIdqx0N2P8BN0fHzOpcdvE0phE0xC50oUTKTuPLqHEC6NhuvTupCu3aXQ8H+ZuSeBPn5VcvIzFW/ag9/B8PNtnGCYvWY/Ttc3qnah3JsKJZlMk6yN6bBJbvJQYTKZbBfX4bXLtoq5Qs4UZLNaF+HudCf+LFtFPbzWZTOr73OiV8ceWldQkDYXgiPH+s5LLNZi3uVhfgvindwdj0vwVOFZ+RfuH/eL6x1296y6I9FpmbNgrrpeic1H3NW12fBAuHx40mJJ9xtXByeoWTFq8Eb2GFyBv9nL9keYaWTHQO05K3rQcxJNtKTn4JIN5TJ0mYQ2tloTtcaY4Gg3jegI+VlLrLDwK5neThoPowPRu4tiw6Z6k0V/ycSTG72CbKXiTLd8zT/efUtd+HXtPX0TerOVirMPRb/x0bDtyGpX1jeDvC+iSU75psH7pPmwCWR18grt1+G2NStC6QHLr9/szW1xe1pRLmVR78FogIbGUEFtra6veYuEMzrVXfxLuSgPGzF+Df3v5XTzXbwSWbd+Ls9VX9dlN58W5Efzz2t+1wFZYj3Fsbe/DhL0nPawS7f+wT1ST/OM5R/YzH6c6XlmHqcs24/Wh+RhauESIrRy1/I1YidcfSua85qqCpwTc3Fa9Qbm672pphObSRO2m+6MLkBoHiEMXhkfB/LkGx4bPxCaeTiWP0DROdOuvMDFcBp2pGUPwtyV5SX3o1PnokzcDg6fwZYXH9QhJsFb602hi+Dz/1sFYuStik8gm1J8Hv61RCdtq7c2FmyE1LoXsTSNCbFx+J5JItCbMWxPv1ZEZ0Sge7O5jJzFMlkXPvJ+H10ZOxULeNNqU1HTUmpQyuYwnOXY3sJfDsbW9D5NcpGZxwZjJF7dUm/xjLPuSB8/9Zy4pob3wwSTkzVmNI+WX9aDh+pq3e9hpFKfX6bZxd2XoPA/mgr40IWI33R93kdRMXMcTHcNzi5scls6BcTagFF7+5i9qRwhNheeG6JmEb9fgW0jPVdVg6ba96DduGt4ZNRmz1u5C6eVGvbqp3pnk46Muel5JjFYfuJbtSN14ZFSizCY1lyYbLjxXHOG3NSp+WzvXw332Z+f5nSdrd72n0dzcLMRGQnMnp4OnA642YPP+oxhTNB8viHc2WIh/X3mN/qAIfzAmKaK/XE49eqtGKljud9a2zpCrHYQLv1V9ufDRymBoOLa292HyYaSm3pTXR4xxpFXdmsbWY2UYMnUx3hpViKKVW1ByqVr726VhTrOZ6Jywfb8Mhrn4sLyegLtAag46HLYZgYW7Qego/uDlzs80fNyGxspJxX16fzqx5CNa1GC5lKqVjWMXqjFx7jK8PigPwwvnY1XxEZyuasw8v9kixk7vjIRmSzR6eU5vx/rZt01WF2ZPCGSHe6K1MgnbdyMJ2+7rifYJtxnmTCDMb/W0iU9io2fWmqCHxmUoT0jb+R2+++ykLDdnr96Kd0dPRv9xhZi3fhtKK6v0x3od8em9a0L2fBwoLX2fbuNvLSR0HPxysyXsjxx90kl4Lj03kjtVhutD60cv3JNcaS29jVOkbvqxHDyA8mBaLQeYrUdOYuT0JXh7dCGmrtgiB9t6vbJMLaJN56J5YGE9rBx+O438dtKzcBdJ7cawAfEnAj2ubK8r1wBxgpBAwrR606Js8xI6l4/MxZjKlhTW7i0RIluAN4ZOxHBZVm04eBKXW8U4JZ5eR0KMNEFSEzKjodpPspnuzsUmkwm3zWPsSGpeHk7EQML23UjCtrsyKGE4vylM2zmp8R4qPY8mpEZPjVfimIs5rkrSbcfOYNSMpegzZpouy5ds3YuLDfRfTSNJX2stdeDFmJT0EX+JPtWW0DfitrfzrbjRccuUreL6I7tPuJ0rPNqOzsRPfzfKiIR7kiutpQ/HTwLkT+YpPxKnNyZzXCSK/cvbhzYfPiHe8UK8OaoIhSu2ouRitT7hIj2reXVJSb3BtpXD7yA8KE+KUulJ6MKkFko4gXKNDsNcPCcWyYwnWO38ECdJY/s1nK2tx7q9RzEofxZe6jcS+QvXoKSyHlWSgBcEeDU0kUwimUrqlUA11HQiU4drek4trItft49iRLkM4cYStt3XFYb7aTsnNXpSStj0RINU7CPelsEfQxkyeR6ef28Exsxchj2nK3AlIctLiTeN6geLNvmIEfICDG/STaRa1UtjH1HcEwPZZZvcel/57ehM/PR3o4xIuCe50lp6f+6yfAvXtynT0yWx8cKLeM30datbU9h06CT6TZiF1weP19+KPVfbqKcGqElyKyFGy2DZsi26lOwErr09CXeJ1LzBlv9O7H8YFxWXyp8gDHcI87olJ8mMpkpCo6HSGHnLwZELVzB16Vq8N7oAA8dPx7y12/VlhfQ/NB2vhtJrETJL8+0KSTHS4PK5q4sZQa7J6urr6mKSHX5zQn0s00muNBTXN2EfRaVjvZzQEOgV6A+ASAj7qLyuCUs270afUfnoPWwCipZvxL5TF1AdPNvKnNJa+fbaLX3B98K1iWdGomzjMlQOCrw6Z0bUsex7UcKx5n7Y3/5cyJ3ehVuecP6ISD/qeTd69JKOB4hUuk1WCOL5ylzkVVESW1VLEgs2bMObQ8fhg/FFclA+hqqE3cBrpwF4eKHvJnvXKcGc0f4P62rfPQddlNT8QQiPajaxHMK8zjvjpe+07HNoGVsv82pn6VnkzVmOd0YVYPCkWVizYz8qG1s1DSeGLJbs6qYYIy+Z816tpHgeNNZoXdzEDCetipQd1pt1MfHDbl6oy5dcaVifaP/kjvfDLJwf1phmQPBWgoNnyzGNj4ONLUSf0ZMxd/1WlNXZ+UV9NEo8WC5RtVXSXjNEMx6SPgmNHls7vb+U9L70oSFXHe49Ccea+yH8uZA7PcOtn4nI3JFRIKnxDSg6KpKsjQ++6+NUvNpuBxxK2eXLWLh+CwZOLMLQKfOwtvgYLgvZsTTG8yCuqTOk5srkt5tHYT16Au4ZUnMn3jPwvAF+SGb0Ouie0zurbE1gy9HT+iPCvYaNx6QFq7DnRDlqkm16ywYJjXl4YyOnGC+Dt8mksnu1eAzkZPHK0z2bjC6O4m9nS7RNJn5cru0bCz8hwm3XF+wrbtu+GRDraNTrDIV9xBPSu06ex9jZS/S3N4cXzsVW6a8rQkzsPyV8MUT+KhSXqiyZpKbesIirk4YJsXHJaWNCBOUHYnUL929FsvPeaNvfvxXJzutv++Ptg/3M84phXJjHkZYbL+uNUFco/Fi8puEc5IGV3prs87DKt8ZcrG/A4k078e6YKfrSTf4afD0v8Eg8x5OalEQpqkn+Sz4Nk1gX1lNwl0jNDZsZnR21/OF0EgyODrVtMx3JTJ9FFPdc88vAu3NcnEQ0Mf6mIr0L3nJwtjGNKau24I/9R6L3yALMExf+yIVKNKTNi9OLAiJ8pMcojZNPpqKUY8+Cmkfjwt3H/XgxhXGWjtPT0rs8Ln+uj6/XpXXbqkN0dxAXpyI9JV1F0Z7iNsPkowYhxOxu2+CFDtaZhuEeSGe7L0vGeVv2442Rk/GWeLAFi1Zj94my8GZPEX7rMl762bXX2uokqLPE8UQ3H4InXF38NrmP1t+1ieLC/HA/TMR9qItyo21+Irr+zDIsnumt/a7fLYVLwzjb0k9Qht4sq6G+HvcxnX48Zzzz8QBiKw4+7cJSbDzO19Rh9tot+luyAydNx8Z9h3FVxprxSm6Sl+NuOeQ/5zIPRhLmYLYXSnfFXb9Q4Lvh7PwQ3LY4IzWmIXExjF6UGBcHUbavyXe7kBzT2nQyoqoS0tpddhn5q3fh2cGT8ezA8Zi1aTsqeHOparQJwKtITG+GG5BDINzuLNy8O9/obyx+fid+OL/9bcbl0u/iXHonDGNe6znJxyM8CV9ClJBIbLLNNvP8YXXbdewXcp+6fj9eHjUTL4+YgqI1m3Gyqla9V+pkWoqrg1+Wk+x9l5Z18MWvo9t27ctuY64wCvO5/Dez7ev6c8vIlcYXl8bysc/Nw+qsHMab5Ipz+agj1MOxcHFnauswS4jtjSHjMKxwPg7xMTUZU0sj33JgsberyF6wsvG5yxFZZ6SWK+xeRJcjtY7ScSB4BNI3SEgctfAHPypb27GltByDZ67Ab94bizfzl2LNiSqcEUKrkzR6jojfkrZJMlF4Ey73+U2ic6LhgbR6wn3eL6RxTJdLXLyIn9fXkSucwjjq59VY1pdE48QvQ9Oz/rLtvC+KC+c74VxbqYf3l51vuobtp69gwPTl+Pnrw/BK3kKsPFaBU03SPxLPJacrR+sgeqiPfUtx9XPlu22VYF/L9yQ7PKM7EBcfkU50+vudbev+bS7DF/atCrdzSEbvzQjTO+FYZuXXOUCRMeHY8KDE9/gdvXwV4xeuwztjZ6Fw5XYcPHcFDQGxJcUm7Oo9b6shzYa4GcJytyDd67gLpObcXXaYjJx2tZMQ2WTn8lg68T70yCMi4bxSyddCuyPcudpmzN9yCC8Pn45fvyOENmkpFu2/hOMyG86LunNi4eUyay4Kk11quo5KCa+Q74sNbaE0tofih/sicRc6SFtUGiQskI46GNaZeOlEL+t6UfRlRMIvNKRRLpLRxXQSd0VmPm8qrhRLuFCfxmX5viQWXS7b5UJmJdUJLCo+i94TFuEXb4/DcyPmomjbWRyRtXq55Lsg/XFO0lo5kke2KxqviR7RKfkvSTmX6ttQ4erm6qzle5Jpi0nYDyKi2/qIfWYSSR/oyKSRsEzeYNvtd7Z9O8uIjEdGwrQ54wL9WoaMXygS78WpSHotS/r5YgOFaaSPJX0F8wf7lHKRc9yXcT4j7LaupAr9Clfh2f4TMHrmchw5exGNYg96szhPF4inZktRSmhvJC1bkprt8dsnMrM5276XcZdILUpYuZCL1KzDLVxPRvMqm+zrEUkGkY/q8BXJWw6X4c0xc/HI033xRK88jFu2FysPVWLJ3jIs3X8Oy/adxdLik1gpsmbvGawVWV18Cqt2nwjkJFbtkn0nmfBsER27sqT4RFSYJpBc+TuX7LSia5eTUpUVgazU+KAMadO6/Wex6XC5tm3FzlKs3WNtXFV8GqsPnMfsbSfRZ+pa/OCl4Xj8jbEYtqAYC4orsGTPBSzdXYYl209h6fbjWCl5VwVlrZG86/eXYd3es1grfbVG6kFZLW3W+vLbbXciYT+IZPonlEh60a1t1nRZeYNtt9/Z9u0swx+HUMK0ueNDWeEJy+uYJihL+tafi7odjDn32YYVsm+6TmP5nnIs2leBD2ZuxC/E4372naGYv3ozLjfQn3PLZNIZP/TWQkeChMZz07QrwtmYT2zdAV2S1LjNjtbX4Ih3FlmGijCEj+nw58fKaxqxaudRfFCwGM8PmoZeefMxdMZajJ27HqNnrcKYuWswctZKDJu2BKNnrMBYCRtdtAyjipZijCzFxkxfIbJSRNKqcJvhThgfymgJGyXCbw0TnaNnyH4gkbSZsNy6omJp8kRfXiZPNG4M9cmRmWW6uDxp29g5Um9Zdo+ZuRJ5ImNnrsLEuesweckWFCzbjtELtqLv1DV4YcQ8vDRyHvpPXY0Rszdg5My1GF64EsOnLsPIwqUYPW2Zlp1HXVLG+NlrRM9aTJi1GmOLpO8oUqaTPK2DqyslrFcHYZ1FRs2Qvp++TPpvmYSHedifDNP+8tp3S3Jby2C+bOksPhqmc4R1CMTK89NTLE/eDBszf1/rWRTMBRkLm0MWP2rmGoyYuwkDZ6xDn/Fz0XvIBBQtXI6KOl4iM0vpDLQpnrbJ9tZCB6J7ENtdXH6aOHLKhp/GXict3hkHgbcK5BgqhiSE1K40tuLY+Up9XdCGg6ew4bB4J3tKxKM4hHXFh8TLOCTbB7Fm5wGs3Sn7KgewbpfIbkmz+7DK+l2haLjk43eHcJG1/Bb961UknGkDWc88mi8Mc/lcuMYFYdnh64ulLOpRXbKtEqRVfVYPV8663Ue0rSu378da+d645yi27C9Fccl5HCqrwr6zl7H37BXsL6/F3nO12Fp6EWv2iDe244gcDA5jzQ7RsfOgtOeg9IuIq4Po3rTnCLbsO4bN8r1BwlWk/zZSuO3VQ4V5nfj7um19uHY3y7Dy/HzWFxKu7Q7Dc+vqbPv2l2F5TDJ5vLBIuMuj+aQcJzpugTAP02XyHcYG7e9QNL8K55a0h/XVth0Sb/kIlu86ipV7TognfULbue9YKepbeRb1w+GcBXMYoh6b2ee9j7tzocBx2U32GYmMr8XRV6hIZzc0XEVZ2RmcOHEcFRUVaE20ahxvmm1pD9/pxSuaPLHaKGTXfI0/nssfkm1XaRU9vFLkrhZRmM8JT647uRPhN4rLFe5uO+G73Fy4u2jAE/cuPU8wNwnvN6alveLCtrRdw6Waehw9VYadB8QQdhZj/Y6d2L5/Pw6dPImLdVf1BDT1NUs+LuHdVTae7NYLBNQt+zyc0CtmvCszxfQUbks402UkSHMjce3TNt5E+EeRznR1Fn4j6SxPZ+EZYbgnfnp//ChuPmp/euF6AYLfXjjHu17mcHVrG2pak/qbohwjw3W1lZMnj2P/vr3Ys2cPdu7ciSNHjqCmpiZDWvy2uwnadDsmtY8C9tUt9BdvgOXziZpNOvrAgX14/fVX8e///nPk5eWh7GyZxjFNS5ovCYpCxj1TJMUM0waf+90NfpuaWluxau1avNarFx77yU/wzYf/BV/71kP4l+99F7995veYOW8uKmtqg9Qd4fouRtcEx4ZjZAeccKSEllBdcwXLly/F88//Ed975BF885vfxJe//E/41a9+jQULFqC2Nhx3Epq9xt0IzRFcd0AXJTVewTGqqm+oR1FRIT73ufvxv/9v/yv+7ef/hj3FezSOy9TWFN8QYbd3EDw9ajfJUq7pg8K8K75VyI9XhvR105qOwm05UuknrKYf7kL5YY04kcRxD0II+3b6LMxCGebS07N0mpjO6XJ5LJzEGwrD3Id7jA/Th+L0EBWVlRg0eBAefvjb+KevfBlff+hreOT738P3Hv1XPPzId/DEk7/AmLyxOHX6tKYnOJdVj/zj/U7UZ6UYrB32zVATVytroYsNP9Yfrl4uzu/DUB/T5Q63D+Ncy4kw/MZlmF6n66OU4fSH4QbmdxLG+DlC6UwX/2eLwe252rJFlo97emMvzz2rbjm4p1px+OhBjJ8wFk8/8zQef/yn+MEPfoDvfOc7+PrXvyHydfznf/4nli5dqsTmExm/uRSNSe024Ebd596iymHbtXsXXnjhOXz2s/fh//m//y88/O1/wfq16zSeoLfGe3PsgoIM1nUSYloHnQTGFxjydUJ8X5VOBrrZmtKmiJv6bhpZuJt+4dTldvgxs3DxN5v+wz82gZ34ek1cOD9hff0JfurUKe2vn/7kRxg8eCAWLl6Anbt2YOv2LRgzdjR+8MNH8dBD38C0wkKd0A6qR/rQdEXhlxW2LFpPv90uBT/ZceEn2r6O4dHSwnJYk2geC89Vhu07CT83V4bT59L6CPvEIUjP/ssSizMNvpZQh/eROWpv2IiWT2vgPvf05wZ5g62GX5cxL0G//u/ie99/BL/89a8weeoUbNq8GRs2bMBa8drff/99JblnnnkGq1atQksLT9KINo/Q/IsH9zruOqmFA9k5XOc2Njdh9JjR+NrXvorvy4B94+tfw1fFnZ47e47GE+k0X0nNB9DpSsvAcGJmnk2UqSADZ6/j5oUHThqG2uS7dp3PeVJozDLAIvbWBB7BTNxvHOjD25qO3y5eygq+TZiWYbbtp7c8oe6oLj/cT+8J910468i6clJKHEncjADYu6cYjwlx/fjHP8S6tatRV1cjk1aW80L8p06fwBtvvIbPfObv8WbvXqjzliPUyZs2mZZeJeGO6KGwzk6idfT7ieLSsM6d9Ynfb7nDo3Gd6bpTZfjtYTo+euTE7xcLy04fivUNy/HT27Y+mueJliN1UYnokflNPRon48L5KnO+sakes2ZNw0Pf/Gc8+oPvY868ebh4qUJfo5VIJFSKi3ejd+/e4r0/jLfeeguV4s278XUXDHy51/GxkpojLwceqZxBJVMp7D9wAL/+9a/xD//wOfTp8w5efuklPPilB5E3eoz+UIhOCj6EzvNqsrTUo1ykBAN18g0cTreWpJODRGhkyDgTmXBuUmWJkYlJrvhs8dNn57mZ8IjhRcJt8umkDOIs/3WsWbMaX37wS3jssR/i6NEjQXsdrmP69CJ8/vOfk379FY6XHNNJTbAMEh9fHukmNvWFYv0SqYeWmVs6S3Or4TeKu13hHxZnYv2dWzqfM6Hkzq9zU+KchGmjOkOyC0mH43VElp3vvNMb3/r2N9Dvg36oqet4vrSxqRFbt25Vj23cuHGorq7WcI6zW4L6dbrXcVdIzacZv/NcZxL8rwOrg3cdZ8+exZgxY/S8wM9+9jOsWLECo0ePxoMPPoi+ffvq0YYG6HTdOpiHE8QRYdeA3xbXtuz2+WG6LR9OTi4r5s6diy996Uv41a9+hYsXL2gaHzxh/IUvfAE//elP9coYfyKP4Fi4n8vLLi9G14SO97w5+MOzT+PV11/B2g3r9HQMQa8vIaRH4emZhoYGmQ8X1W54gUDTyAGtuy09iY+d1FyH6lFKPjxyNTU1Y/myZUpm3/rWt5TMLl26hMLCQjVYutLnzp3TQaWOboegs1wfGflbFMFwB4u7rmTE210m5efju9/9rhy935F+tNdw+5g1a5Z4ap/H448/HiE1jgO33RWxGF0fPOk/cNAgPP7zxzFi1AicOH0yiAkOUrKCaW5tUWLz4c8rjju/XXh3GPu7Rmpueec6zokzSnpoDhcuXMSAgQNx33334cknn1QCI2bMmKEG+dxzz6GkpASNjY2at7vB7x9fHPxtNzlJRseOHcOwYcPwxBNPYMKECZkjsp8+X0jv05/+tC7rT5w4oZOa4BHbkZoLi9E14cazqqoKz7/4Ar7x0EOYmD8Jl69c0XAHugm86NaaTKindvXqVf31MH/J6b59uddxV0hNO1dIix1MYvPhOlG6U7+J7Tt2KJn91V/9FX7/+9/rOQCeQ6PB/v3f/70a5O7du3WguhtudXK5dJyc27dvVw+NV7nmzZunk9cH+2vIkCG4//778cYbb6C+vj6Tn0RGQqMw382WH+PuguPiDjokKdrHAw88gMlTpqCuju+j6Yjz5eexbt06bNy4UR0E/2BHcQfG7jLmd81T4+0VdiI07DjXmerBBWFNzU0YMXIk/vvf/i3+4i/+Ap/97Gfxxz/+Ea+88goekiPSJz/5Sfz2t79FcXFx5tJ0d4KbaDc7wVw6fi9ZskS9WJ5zJOlngyeLSXiPPvooioqKtO8J5o1J7d6BGxselF5/7TV886FvYuzYsZmrmj5oT9MKp+Gpp57CSLGr8vLyzLg7cJ/j313G/C6RmpEWhR3IzqO4ztQwiePjUQcOHcSTv/wl/t//8l/0osD3vvc9vRT94x//WM+v/dM//ZMenVavXq2udHeD65ubnWBugpKIuOTkechRo0bh/PnzGk6Q/LnU5LnIxx57DIMGDdKlqoMbB19utvwYdx9ubDj/eZ6Zpxv+8Ic/YMXy5ZnzzBxDnnNbs2aNxtOb44W3XKsbplcb7CZjfsdJjd2k99TIFr/1QXUR14kqllTvrxk3YTwe/s538KMf/QgLFy7E0aNHsX//fhw8eBCLFi1Cr1691HAHDx6sz7N1R2T6RSTXhHNxPnhRoE+fPvjyl7+sS9ADBw7gypUrSm5btmzRozRvwOSd5f4FglzlZOuO0XXAsaH9EDyQ0S54sOIq5nnx0jdv3ISjh4/g0MFDWCT28+LzL+CR734Xzz77LLZt26Zj7MONtRv37jD2d4nUxGiU1GxAnCfgdyAvFKxYtRLfeeS7+Po3voGCgoIOy0seZaZMmYIvfvGLekuC7410J7i+cUTjyMYhu++4ZOQtMFyW/+Vf/qVeIf7d736ny3Z+M/z5559XsuOjMrzAQvh6ck12v4wYXQMcE3+seDDj+TJ6ao/98Id48olf4Bf//oTJvz2BX/7iSfR/vx927Nihy1XCja0/vn5Ydty9hrt2Ts2Jb6gU13l8iH3h4kX4iZDVK6++itLjxzt0LElu/fr16k7/6U9/0lsYiHt5ADoD25Srn4jsbXpdJ0+eRL9+/fANOSDwQeZHHnlEj96UX8pynjdd8m0NzkMjOtNJcD87LEbXgT82JDZ64/2EvB7/yU/x9a99HQ/JPPj1L3+FcXljcfxYSYex9ueU2+9svt1ruCuklg12Gr01us/cJrh/4cIFPcHN8z/pFF/EYmAa3odFg+R5Ai5HDx06pI+AdIdB8OG3g9tObgT2Hb1Y9huvgFI4yXkA2LRpk15U4TOhvILsQJ2u72PcW3Bj548fie306TPYvWs3Nm3cqM990pZ4tTOVDG3JwZ9bTvxV1L2Mu0dq7KigszgY/lU2Ff7Wmwfu0QjdYzvc9r0MB+Zl/L0+EA6uP/xtf/+jgnl9I/D1xri3wHFzBHSzc5/pnLix57avw8Xf67hrpOY6kmDH+V6aH+dAAuM5APeMJ8mN4pCdvjvB9UcuuRHYpxSCad02wYMIJ/DN4mbKi/HxgWNDu3DfNxpbR4BOmN7l8e2wu+BjWX5+mMEwjh1OEmOnu4Fznf9h+Xsi2B+O1PwJ6/rKTea437oP3Fjy2x/b7DHm/odJd8LHQmoxbj/8CeofAHx0xwkcI0Y2YlLrJshFatkE5uJjxOjOiEmtG8GRli8xYvQ0xKTWjRCTWowYManFiBGjmyEmtRgxYnQrxKQWI0aMboWY1GLEiNGtEJNajBgxuhViUosRI0a3QkxqMWLE6FaISS1GjBjdCjGpxYgRo1shJrUYMWJ0K8SkFiNGjG6FmNRixIjRrRCTWowYMboVYlKLESNGt0JMajFixOhWiEktRowY3QoxqcWIEaMbAfj/AQUSQylssuBFAAAAAElFTkSuQmCC)
It is also called basic proportionality theorem.
Find the value of ‘a’.
![](data:image/png;base64,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)
It is called theorem of parallel lines cut by transversals proportionality.
Find the value of ‘a’.
![](data:image/png;base64,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)
It is called theorem of parallel lines cut by transversals proportionality.
If line segment AD is an angle bisector and AB=6, AC = 10, and BD = 3, what must DC equal?
Here, the value of DC is 5.
If line segment AD is an angle bisector and AB=6, AC = 10, and BD = 3, what must DC equal?
Here, the value of DC is 5.
Choose the correct statement for the angle bisector theorem to the following triangle.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATEAAAEuCAYAAADm5SUmAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAN0GSURBVHhe7P13lBbV2j2K3vvHHeP+c8cZd4xzx7njjDPGPecXvk+3pO6maaJx63a7t5HUOdBEFcyRnDrnSA6SEVERVEAQRZCgCChBkJxzxze/Pe+cq6peXrB1u7+9QZuu2f28VbVq5VrPrGetWrXq/wYXLly4aMNwScyFCxdtGi6JuXDhok3DJTEXLly0abgk5sKFizYNl8RuM1paLLGgHUduxq+di8Zv8ePCxZ0Ll8RuI0ReQb8lLSEg3BJAqMVLCqIDwsZPmH5CPBmCjy5eip8Soh/9WXFc32EkJqwdoWFI5zzFhYt2AJfEbiNayFNBH6mHIv4RQQVbGo0Egl74/CH4Ay0IhIMIoIlSb7Y6Cps/Kw6zI7ajO+CxhIRoSMw575KYi3YCl8RuJ0gsxmAK2ltZYiQpX6gOjc31aGjwweel3RWW7eWhLVYHX0sDSSx4nZciJKYDWWJiRK8dqUtiLtofXBK7nRCxkGBCJCpvkx9+v4/01AwvSazZ20gCCyJELpJHdSX9aIC/pdlQmOgq0oOUMB75om1HkRUmVuSxLDSJ8ezCxZ0Pl8RuJ2wSCnrCaKLV5fX54A83ozlIiyuoLiH5JxRGIECLLNhAK4zdTHU5eaJ1EnP+dCASo9CKc0nMRXuCS2K3E+IV8U2ApBQIIxgO0QrzoN53DV6RGMkn4PGivv4KrjVdIrk1kMRCZuSrNRLjf+SwRVaYITGJ9l0Sc9E+4JLY7YR4JcgfCf9FPp5wAE0BDwLcIhyEv6kBjfWX0eithzfsI4GR2BRMwRXeZi3xVUhR2efChsS4xzgMkbkk5qKdwCWx2wnxCq0w9iENkWnXSyc/TwTDfoR89Qg1XUbY10CCCsJHy6yZoqH7G0iMByIxcaEmWIjkzKiZnlAaMnRJzEX7gUtitxMiFplPgRDC/iCC3HdIyOupg+fqSQQbztBPk+G7Bn8LrvqCtMhIcjzWUJchMQYQiTkkKJJzScxFe4VLYrcNJBURi8arAkFaWwFuNFPMsqa83qvwNRznubM8oh8b9gQK060MOySoua1kNXIcmu3zLom5aK9wSey2gaRipkCQfQKkJD9JLBQ2JCUJhRt57iz55xQuXz6JQ0dO4eiZS7jc7IGHhGSmuyq83Ye8mcQ0x98lMRftES6J3U6YgSxSlt9jiCxoj3fJErNm3Z/BpXM7MXt6CfoNSEfakJewdNVaXPXo9SN7KoX6leQpRfUzEjMnbIYTabpw0Q7gktjthHmk6CPPNCHs9SIUsqZPiHL0GwqcxLdbVmBEdiL+l//3/xf/9//n/4ZBI9/E8fOXjQ/RmDG4fC0I+dkVJaeR+qJITAQmWlSsLom5aB9wSex2wkyDYMfQ34xgcxMCfk1kNbxkcOXSQcybMRXPDknGX//2BP7X//1/4q/PpGHnD4cjzwRkjIW9YQQ8IfjoIAITbVlz+rnXIlqTbUePLly0A7gkdttABrLncrXQGgv7ffBpxn7QerFbpLNrx2cYlPZ3DBucjNrp0/DUgBT87ZkUrFr7FS5e8cAjthKRBdmxpMgS8/JYYsVCSgs30Y+ozSUxF+0DLondNtgkpoH9ELt7IT8tMS8CAWuZHZ+nASuXvYMH7+2KF18Ygj0/fIOqGbVIzRqBwtJ52LXnBHwysBhNiNZcMBxAIEwi47EsMn/Qh2CwkUk00o9lm7lw0R7gktjthPqE5gmjnzzTTGusiU7qUAZx4thh1FRUoN/TT6G0LJeW1zFs2fE5Rr30OjIzXsOqD7+w5okRnkADGv1631JvVcJM1WhsbkCT5yoJjpaY25100Y7gktjthBjHDG7R+gp4EPZe5bGeL/qwadMGvPLyGxg16mV8/OmHtKwu4UrdCUyenIOErn9HzuSZqKuzluTxhBpR778Grz9gvWlES8znY3fTX086bKIfl8RctB+4JHa7Yawp/oT9JLHL3NYhHLiKmppKPP5kf5RUTcf5i5rwKoSx8J0F6BX/OIZmTca3u06jwa81XwNoDnvg535YPUcSmV4AD4LdUzRDPlwSc9Fe4JLY7wISTNiLllA99+tQd/4wXnh+BDrEdsfcZe9ZXgx8WPvRaiQ/MwwpA17F4qUbcfwyu5EkQS1eLQvMDH9RwmGRmJ8k5iWJaX6/YUsXLu54uCR2O8GuZDAURCBAAgs00oFdyfBVHN27FckDnsb/4//1v+BvT/XFhAkTMG7s25g45jWkDRiIznd3R1ynhzFhchUOn79k6MnYWhpOs0ksxAOf/aeVYF0Sc9Fe4JLYbYS6fL6AD15vo01ifjSeO4JV86eh7xN/wf/n//w/8P/7b/8X/sd//gf+43/8T3S66y50+J//gf/r//hv+N//t/+OlMznsePgEfNUUiNpYb0B7guxOxk0Tyy1FqyHVpiftphLYS7aC1wSu42QdaSpEUF9KcQMZoVx8IvP8Gy/x/HYw73w2pQ3UfvOHMxdtAjz5izEkvlLsGLZckwrK8Of738A3e97FLXL1+HYNZ8hsRY9rjSvMDXSEpMNppX5NaxvLVztwkV7gEtitxEiMWuhaVEMt7TKPps7B73/+/+Jp/7+ALbs32pm4N8M79WLePH5oeiY0Bujyxbj29MeNCgKrYjhr6Mldg3BFi9JrMW8huQ+m3TRnuCS2G2EKMz+5AcliGunTmDGpEno8T//O0YMS8NPl36ihaXh+Rs7g8HGa8jPHY97H34Uz75djDXbfsKlJsYWFBE2kLH0QRGfscJcEnPR3uCS2G2E6U6aya0yogLYunE9RqSlondsF+TnTUI9rSqNZzUH9foQPek9biLY3IA1q95D/4FJ6JzwZ4yeWoNT57V0Dz0xnpawH75QEB4eq5OqFNwxMRftBS6J3UaIxAItIfITtyE/Nn+1Cbk5kzFxwlhs3LjODM6bJ5haD4z81KIVYGlthXxenDpxDNOnzcCAxAwUltTg/MV6cpgWSlQQxWe9SykCc2w9Fy7aA1wSu40Qsei5oYjMG/Lhcv1VnDl/loR0DvX118y7lC3mw5OkO1pVIZ8PQUpLiEQWDOLypcv48cdDOH3mLLw+djsDYfPKkYw2cphZL1EEpmOXxFy0F7gkdhshYpH42aX0hG4cwm+h9VV/7SoCtLrUTQwFAiQxdi71fiRZSWuP3QytDBuSMFIfrTYfSS1Eq8xJx4WL9gCXxG4jRCxaJz9AEvOxO+mnhGh5hUIBNDc2kMRkjfkRDtDK8njM1oQjqXl43NTcjJDGwQj9OqIVYj20zDw+WmwuibloZ3BJ7DbCGgsjQZG0guxSerwe1NVdQ0NdHTzNTQhq7X3TjQzA3+yhNUYrjGwUCoYQ4DmfhJZZgH7UdQwYQmwxlliADhIzRman58JFe4BLYrcRZmBfrx1RRDQipqamRlphJDCSk+3JfM5NRBbSlt1E06XkKXUovfq4CJnKT2nmeY8G/61g5mGlep0iPhcu2gtcErvNCLXQ0iLbqFupp4oGhoH4EyQL6VUimVaUkJ8ERqIKk7jk30eGaqZ1ZpFYGE0kOo8+/2bFYi3hT2tMY2guXLQXuCR2myG+EokFRD4kJ8exxUeLqsknU4se5IluIiT6ESn5SFh1jc241tSMJob1k9REZOpaKhbxoUjMEJgSceGincAlsd8BhsT8fgR8fjMXzBCW1gZr8iNc70O4MUDWIhPZk740P9bnC6Kh2YtGrxeeYMjMytdcWHmREWc+NUlxCcxFe4NLYr8D1DXUOFfQ60eomVSkhfJlbV1txsndh3Bu/3GgySIxrRcWJqFp7TA9hZTlZawwnla3Uita0MlaW0zdUJfEXLQzuCR2m6HBffMhXJKPrDB1I81b3zStLuw7juXls7F+4Sq01KlfSHgYxn4ZUjP0vexKevW0kk4aPmOP0+pKyrsRl8hctC+4JHabIRLTnyEakY66gJrfei2Ig+u2I3fo6yh+YQIOffUDfI00w3RejMWtBu01U9/Lrqcz/q8o9IDAkKJxsON24aKdwCWx2wzxi+EY/dhjXnpr23eyDruWrUNB5qt47bEMLBhfgRPfHrYITJYY/bSQuURUQZKZn6KHmeIsPSDQnDIzOVZmmQsX7Qguid1GiF6cKRZmQUORmIRdxrp9Z7C59l0UJL6A57o/hSn9n8dXs1eh4ehFs4q1kQZ6JpFpED+oLaNQnJogGw4EjFj9SuNKceHizodLYrcRopUAGSigT7ZFk1gDcHbrj1g9cRpy/j4Uo7o+idEPpmH+iKnYt/xLBE81GT8t10hSHhEW9x2+EhiVXhJvCQa4ZYTuPAsX7Qguid1GiFaCJJigGcPSgS3XWnB49Q4sGjEFUx/MxBuxz1D6YsoDg7DqjRpc3HgAuEDWamQM+jaul1taY+paXh8H0z67lCIymWouXLQTuCR2GyESE71IzNCVCIzchAtB7J6/DrX9XkZurzRM7ZaM8V0GYEyX/qj4+yh8mbsE9bvPmW6n6VZ6RFyMgxL0BxHw+RA2E8XUTdX7li6JuWg/cEnsNsIhMXGX5nYZAhMxHWnA1yXvovjBwciPT0FFz2yUdstEXkwypnRNwfT+b+K7eZ/Bd5yeZYn5KJooxsiC/gC8zU0I+D2MUzErBbc76aL9wCWx2wiHt/TydijAIz11rA8jsOs0Ph89E7ndUlHQaSCm9xiCmT2GorrrIOR0SkJOz0wsGZ6Pgx9uR+Ci1wrXwJj8tLxC7J76vSSyBvh9TbTCRGQiMJfEXLQPuCR2GyES0xeJvBrc11rS5KGWS35cWfc9Pn6uBPldklB0V3/MisvGOwnDMTd+KMq7ZCAnNhV59w3G+29X49z2n9BST6JqssKbbmUoBL+nEX6vRv9dEnPRvuCS2G1ENIkFZYnx33eqHgcXbMCKtIkoi0lF+X8MwJyOmVgUOxQL4oZiRtxglHbNwkR2K8v7voxNVStwZf9pa3Bf88b87D5qikXQR/HSErOZzSUxF+0ELondRoha1BPUu49migVRd/ACPs9biLmPv4Rp8VmYdlcy5t2djiWdhmBxl6GYFzsEtd0GIz8hExPvzURZ+lvYsXw9/OcaEG7wIdisWbCKS9M2fAiFSJNmbMyFi/YBl8RuI0RispMkDs7tPIbFz+ehrHcW5vQYgtn3pGP+XRlY1nEolnQehvldhmB6/BCU9hyMcd1T8eYD6Zj7WiEOrt8J7/lGhM0qiPyndRcmgQVJZGHTpfzHEPW1Ji5ctCW4JBaF1hTakd+K1sKKvCR6bigCi1AMD0599j2mD3gNuZ36Y07CEMztNAjz/zSIBDYcC7sMxyySWHXXwShOGIzJPTIxpnc6Jj0+Aismz8D53SfMmmOKUIsnBgN+hFq00istPZOyjehM2M7aKD/Ki8QhV+1HebN2HLERtevCxe8Ol8RsSDEdPW9Nfqa4jmJHnWgtjmiicMhCW/Nz0YsTSzdj1hMvIeeuZzCtSyZmdxmMeV2GYV7MCMyKGY6qmKEo7Urp/SwK+wzHpO6ZeDs+GdX9X8euaR+j+dBFM00j7G8xCyeqq6o0rNeb2MWUpaYJsTbZ0ZHEF0JQDwOYYy2goalnmrkh0YwPhVfeDaIKY3qt9qF27UMXLn5XuCRmQwrp6KuIR+IcO0p7AxwtjjrRWhwOcUWLzmuuV/jAJRyuXIUFj72Ewrv6o6pjOmbGsksZ/yymdx2BqrjhKIoZgry4ISju/TxK7x2J/G6DMTU2HRV9huH91Ck4MncTwsdIQ2QjfbatKRxGMwnMT4ssGNYMfubAWfZaT0S13LU/YF598jLHDczNNSNAHaWRYq/8Y0E7tojEog6ji+7Cxe8Gl8RsOATkEI8xWmy3nymsDqLFhnYd/9EEZgbz7X25G5DE6rcdwc5x8zD3wedQ+qck1MYMwgw9kSSB1ZDIyrnNp2U2pcsgFCQMR2kv+ksYhoruQ1EVPxjTug/DxuHluPLRHlp1Gg/TO+IhSgC+lqDpWppZtVoGW09DvcyBlzkhsclSE4nVMZdXKNe4X89sySpTvk2x9KMM2xUhEos6tPy4cPE7wyUxGw4BSUFvJYnpnIG3Bcc+2YmPhuWjtudgVHZKw4z4oZgeNwzTKDVdn0VF1+Eojh2GAnYnS7qPQHnP51BOMqvuQSutazZKO6RgVp8R2DJmDpp3nzYZ8MkSE4mFA8yDnRsRGckNtMCMqJvJP3UnG5hLEVkj99W1NHm8uSB2RTgkpnLpVFTRXbj43eCSmA1Hbx0l/XeQmBOXiEGifcd7S1MY3yxYi+lPvoSSrunsOmZhJolqetdhqI0dilp2JasplbTGqnuOxJxH3sCch19HeXdaZLTCquKzUdE5DUUdBmL+069h3/z18J6lHcXEla66i7S3SEiaekEXTbuwty20wsKUAMVDP14GEqFFyhldAEfo5pKYiz8iXBKz4RCQo6QSW3d/rrA6iJabICcnnBOfE5fjP3wlgI3ly5DbJ4NdxmRUJwzGjJ4jMK2bSGwIhRaZCIxENr3nKKwakIs1KUWY8SBJrxtJjP6rYjNQ2ikRVfdmY8WIXBxYvQ3heqXEZMg4ssQCtMj0sV5DZvzTt5HUldSSQH4SmlbVME8zozPtVEB0xnk++pTt5MLF7w6XxGw4OuyQTrT+/kxhdRAtN0FOTjgnPm2NV/3wwHeiDqsmzsTYuP7IjUlCFbuUNT1JXOwqTosnkcUMwfRYWmOd6c5u5ccDC7Dr5YX4cngt5j36Ggq6pJHAUlCtQf6EdJQ/mI01o2twYdth89UkQeQUIFH59MFe7isfsgj1BFNufnY7w+pqKk/OSeMhat+pBPrRxqkb28mFi98dLonZkEJKMSXSW0cctxsUVgfREoWbTznxaWtAx5bmFlz+9iiWvVyC0bH9kNc1FeU9s1HZcwjmPPQS5tz7Amq7DMG0TkNQ3WEQqjplY+kjb2HvW8twadbX+PKVWSiKz0T+PQNR3oVhY1NQkpCCuc+8jK2FC3FlzzEmqtSVrjX2pS6jx2zNMwX4aInpq+NhPQ0QK4m4zAlbHCKLyrxTFsfJSsGFi98XLonZcAgnWlEdZW1VYeXgSCuIPn1zeN+lZhxcsw1zh0zEhG6JKOqegeLuWSjvMxTv9puAFU+ONwP81R2ySGTZqO1M6TIYG0fNROMXp3Bq+bdYmjjejKXl/qkfijsNRFW3NFT0TMO8Aa/g+/kfI3S2zioAoY5kM7uTjZQm7msumPPqk9btN9+4FLvphORmEuNppxzR9SFx4eL3hktiNqKV9FaT2NUjF7CpZgWqSDg5JJ6SXoOQ1y0dVQ89jy9GTsNmdRl7j0LVPRmYQfKaFTcUxf+RhOUZBbi2/Tx8R+qxp/YTzHryVeR06o+yuFTUMnxRx74o7J6ENa8U4dz6bxA4W08rS7aYHoZaJNbAI02jED8ZiMQ8zGFrJBbVb3TK4ZTFERcufm+4JGYjWklvJrB/VXFvDnf6u6NY8nop8h4ejII+mSjpnW0WP5z291dwIH8VDk9dhWV/fQvVnbMwI2YwZncdhsK7ErE4cRKubjxhJnNd23Ue68bORM0jmnqRgbIYWnT3PI2i2P6Y+fhz+GLqLFz68nvgClmJBRAfeWh9aTKrZuaLo8xgvmbye+lBJOb0Nf8Bgblw8UeCS2I2ohU1WuTemvzTiAr00+Z9qEx9A+O7DUTJvdmGxCbEJmJG/7dx4p3tOD9vOz4cMAW1XQdjWmw2plPy7xqAxQMn4Nq6n6yPhpwK4dzq7/DhcwWYmpCI3I5Pozo+GZXxScjp8jTm9n0RB2etRujwZUNKSl7Wl6ww83pROIxAIISwWZyRZ0VeIrFfIDCRuiE9R1y4+IPAJTEbjrLeLNF6Gy3RMB+vNRr+K9BpRegN4uBH21H61AsY0/EZFPWgJdZzECaRgGZnTMLpTw6i7tOfsH54Bab3opXVOd3MB9Mg/qKk8Tj1/rcIniTTXGSEJ5rxw/x1qCZhTY7ri7L4RNR0T0Xu3Y+jlPvrXyzB2dXfIHiKrNcchL4gLo5Sj7ExGESzx48giczkSwwXRWAqjrIs8pKTS2Iu/qhwSSwKjn7+IwJzxIGmKWhJHENkN3uS2GuHiSTCx+uwb85a1D75MsZ36IvcmGQU98hCPi2yxS+U4NzXJ+D95gK2jV2AWX8eifyOiSjuSD+xaZg/cAy+mbHGrEHmdP0afjiLLeVLUfa3YZjY5SlUJGjaRSIqOvbH3IdH4IsxM3Bh/W5abnX0r5litkUWCKKx2WesMSuPFO1yq10Rl8Nr2lokRo8qi0RhJC5c/M5wSSwKjl7+MyIYEqPcQGLRLKh3F4XmFni+O4Pvit7FrMdfMevnF3RONpZYxV9HYdXE2bj0/XkED9ZhT8kHmPPEq8jpnIjCzknmwyGz+7+JDcWLcW73MYtZhLoQLn25D++/UYqc+1KR37U/psWlYCbjruw4AHP+NhI7SpYi8L39tSR2H/VUMsj8+v1Bs/KFiMyyJplViqJ2hsicHqaZKut4MJ+JoyM3Llz83nBJLArSyX9ajPLbCi4HWSmOkku0r7lYOmwI4fzn+/D5mzMw45FRKIlJR0mXNBQnZGFm/7fwVe0qNPx0jdZaMw7O+QzzksZgalwyikhKpQmZtN5ewoeTZuDYtgPWGJZAhgmeuIaD732BBSMmIqdnIko79cPcLqmY3oFWHK2yBeljcXDp5/CeYLdSrGTyyQ3z6vORyEhmIeZf1pYIS1wXvTSPS2Iu/shwSawVSDd/k1CpIxaYwE2LpjToZWuHvNRdkxChawHsW/YFlmdMRk2fEaiMzUJJJ1pP7CouGpSDg+9vh/8cWeZCECfe34H5WZMwMT4JxfFpKOtOwntkGOa9mIsfNn5jMYsgMvGG4Tl8Hl9Pfw/VfUehMKY/ZtLCmxfLMJ0GIKd7MuYPmYB9q742H+o1bGX3EUPMZ0DCQ/GiBv71BFMrWpDySGI6p9eVGI5lNWXSE02XxFz8QeCSWCuQbt4s0tloMe6yXpyxMIGbFnXNaNkYRdeTP3bXzJYIXPJhc9VK1Dw6ChXdslETl43ie1LYrUzGBy9U4vLXx9HSQL9kjwufH8D8ETkY220gLbU0lHdPQ06vVJSkvILtqzbdSGKCL4yz2w/ik4m1qH1kOKq7JGFWDMmP3dHxHZ7C5HvTsHJ0FU59dRCBqwwsImM2wwGLxHwsgxnwp4jAtLaYQ2JBink9XN1il8Rc/MHgktgvQPoZLdLZaDFuv4nE7H1CXzb6eMpc5PcahLK4LNTGDUbxn5KRF5OKdePnwX+E9CGTiBxz7bvTeOeVYozuThLrnopKktikuH6Y/Fg2vli0xjKbCC1PrXwIvosNOPLJNnz0QjEtvWyUk8iKSWI5cYmY2ptxPPMC1ubNw+XvTtKz8kde8oUQ9IfMDP5oEpOoO6mvM6kraUrtkpiLPyBcEvsV2Kr7i6JxJC3z7JCIRWJBhGl9qVsZWU3VtnrqfziF996owJT4VENi0/Q5tg7c7zUUW8rfR8sVelRUlIYj17B4fDVG905CYUIyamiN5XR5BhPuTcaG6SssM0nRkoB8Pr/p1qoL6z1xDbtnf4yFSW+juGcG8khgBSTA/N7pyOmTjjkZo3Fw0ecIHaetRZZq8dPKYj6VRfGiMxYm0fCZZYWpYIqf4pKYiz8YXBL7FUhHpau/JGYwnOTxqyRG8pJ7sN6H4xt3YcGzUzGpq0Vi1V2yUNklE/P+/gb2LNxoDUjZaDzfhHcL52DcA2ko6JqI6QnpKIkdgCk9BmJD4TvAadKMxrREYt4Aws4TUDLR5T0n8WXRMpQ9PhLjuw5AXk+GvW8QcmnRFT4wCO8/X4BTH30LXKF/BWMeVQQZgbLGJCIwHWssLEJihsAkPFY4bly4+L3hktivQDoqXXVE1oojEXdqf4szuK//YFR3UgQmT8S105ewld3A6rS3MDk+jYSUhbKO6ZjebSjWZBfjxMe7DHM4vNB0tQkfTVuKqX8bisK4gZgVn46arsnm3cgNY2oQ2M0uYTN9i8hMl9IOq623Bae/OoTltPqm/nkwJvdMRVGfLBT2SMeUmAEovDcT6yfMRtPuc2ZFDSefKpeG2iQiMB1b5aJEBvXlUcc6SXHh4neGS2K/AumodNURh8Akjg5LNC4WEnmRScyYmGOJyaONkweO4N2imch9eiQm0aoq6JKBQn0o995R2DVmERo1qE8SE58InkYPNi7+CGWJL6M0PgmzuiRjRkwSKtm1XP9iEeo+2wtcIt0wGctI0tphtAxtYglc9eHouj1YNKoIE3qnYUrXJBTFpyC/80Dk0KKb1e9VbK/5AHUHzkdIzHCVhIdO2SKOka4kRccRDy5c/L5wSexXIB2VQjvSKonxJxAIIOD3R0gsxO6dthFGIg7u+B61r07FhL9kI6dnFvJj0pH3nwOx+K9v4ETNBrQcrEcL+3GyggSfx4dtqzZi1tDxqGR3cNrd/Sh9UdstBZ+NyMeF97ehRfO+aDKJxPwkGS9FBqDyZHAphN2LPkfNwDcwMT4ROV36o0zTNRLSUNQrHfMzx5opH4Hz7Mc6eY0UzBZDYBKekMgiUwLOeRcufme4JPYPID2VXou4pOeSG0iMSh7w+Sk+7luvHwVlifnpS2NidgTfr9+G0szXMeHedBLIYBTFZSDnT4lYMmA8Lr73HXCennzXSczPOPdu3I6lrxaj5r5sVP7H06j6H09helwq1g7KwcmFnyNov9ytNAJM26/0Fdj8ELTsru05jc+LlqDk789jUtwAlHXPQAWlsFsyKv4yHKvfrMLxz74zc9gMnMI5YghMwgNDYM4JFYxib35RohDtfFMsRly4+K/AJbHWEK1ZFCmbntKRmoxo30z+lEVCBQ/L+tKAPpU82BIyH+kIS/FlxYgbLnuxd+FalD35vJmBX5EwmBZRFqbGpGDR0Fxc2nrMejRIAhEnKT2/N4gTuw5hbc5cTHt4BCqMJTYQM0l+7z79JnaVrkDjQXYFRTqEHjLoBW/DMQ7TykprDuLUloNY9kY58h7KRn5CKgq7phgyK9MKGo8Mw+rxM1D3/WkrrwrniImLJfWzxLQ0w1qrnyes0tvll59fE3oRtNGhE/XNN4SIV/044sLFb4BLYq3B0Thbs7QRcWmZZ4mILEJi9kB3C0Uf4KCqGz9SUINmnjtwEXuKl6HmoWEo6phoJrlqsmte70FYQnK59OM527PFI0bBfWHU/3QBW2veQ+2jz6HsnoGY0SkdM2KzMOv+Z7FuzExcOXjWhFF2lRU7oxYTShQZic17thF73/8K84dPxaSeKZjcZQAqejIPvbIxoXN/VD3zMkl2PfynG604oklMZROB+b0Ihfzwt/jhDftJ1kzoZhJzwv2MmayNnJU9ZcvJoo4d78arfhxx4eI3wCWx1iAFcpSSW8ugaqGxFDYie0Q0ZrpXZuyLx/Qk71JMGVVSVIOGEDxfH8GOMbMw494hqOyYjNqYLJTHD0LZYyOxpmgBrp1kt5BQso5S06BD8Hwjvpv3CaoffR4Fd/VDTYc01HbOQHX3wVj1SiUu7julYMrJjSSmiazKBCXUyJxcDcJ7pA5bpn+EkidGYjK7kkXdMlBKKYxPQ/FDQ7HsxSIcXb/Hmn/mMKld/hZ9bDdoEVdzyIt6XyN8QSVAKF35a01Mxij2Rk43k9hNSTneo3ZcuPh1uCTWGqRA0ihbs/4VEgtd8+Hsmp1Y92whptPyqe2ShpoumSiNz8Tc1LHYuWgdPBesmatK0lFokwd2BQ+8txk1f3sBuf/xDKr+lILqjunmxfHlIwpx/lt2QwnlLzJUpcAa3WcGWkhmoQbuNPFEM3Bp5wlsmDgHpX8ZgYm0wPROZk2fISjUpNiHBmP1uBm4sPOYNe1C8Xj4o+4yGdVPK0yf4/XREmsMNpvjCNNEpx0tjrvyR3G8OETmiEtiLv4VuCTWGqRAjsZx2xqJmSF0MYde9o4iMSmlsTBsJfRdbMbe+Z9g8cA3UdU9A9PiMszXvovi0/HhC2U4s/F7hOoUwkrSUWoDxnFk7S7M6vcGCv40ADUdSTq0xAo6JmF++gSc/vKACSSCMCSmDEh4rO/khpgJzcg3kYpZL4dw+bN9WDmyEFO7pyKvazK7lYNQEJ+C8Z37oeKx57C5bBnqfzxvzUFrDKElEGbxaE2StCS+UIBlM5/lZTL040C7ykNronMUx4uyqDI64mTb8erCxT8Dl8RaQ7S2cSuSsMbErDGv6yTGE3pqJ2vMfv3IKKictUM0nanHpuKFqHlkGLuQ7A7SAithl7KQXblNE+chsO8CLR5LdRVE7yqKMB2c+HIfFmVORFlsGqbFZmF6XDbyOyRiZv838dPH31hh5V1iWIHUwn3lwS8rimJITNPwSWThE03Yv2AD3kkdgynxSciNGYiSbmnI51bzx+anjsa+RRvgPX7VPN0MkcT8JGpvKIi65iY0UPTBXSWn/GrrSAQ6UP05cpOH6NOKozWvUd5duPhVuCTWGhwtszXMITGR189JjCISC9A6YffSPLujk8a0FE/T4Yv4aEwV8numoCSO3cH4DBTRkirpPRg7Kj4AzpJZSD4mKga5mcTObD+ED0YVo7b3UEzvNhgz44cYEqt+4mXsWbYJwStiJtuzmItWoSa+yvDy8jBAEgp5mStZVnJspJH14wV8XbES5Y+OwKROfVGij5R0z0R5bDJKe2Xg3RG5OP7Jt+YFSuXLzzg9JLKGZg88Xn3B0rLBoi0ph4AMtCMHR3TsiI1oJ0d+wasLF78Kl8Rag6NRtlgEoyeOFoFpa9kiFNPX5FktLEhlj7xHqbC+FlzdfhjLR+ZhctwAFJEkKrqmoygmBTWPvYDd72y01rxRGhSRgQgs4MRBXNh9DOvHzMCsR0ahNmEwpsUPNiRW/uhIbJm+Cg0nrlgBBVlhzIOfeZLhpVcxfSTXoIexRn/RiOR0dsthfPxmDcoeHIxCWmEzaRnO7paFkpgkFD0wCJ9NmYPm78+wO2lF72G8AcXPuE3XWcWme/TgvIocybl2JHKMFsfdkSjc7L0VLy5c/AwuibWGVrRJpKVxIBGYRKRmFEw/WnLHz7NScmm83LgNXGrGT6u+xtyMMZgY0w+FJLGSuFSU9sjCovSJOLRqp8U0dnraGOuGFp2IQg7X9p/B1sIlmP/Ea6jsNghVsZnIuycRxQ+NwCd57+Ds3uPWuJcgi47sooeTjQzcyEj1pW/zRSM5OiRGiyxw3ofTH+/Be8/lo0gTXzsNxPQuKajokoQ8djNr+72MLdNWovGMWJbFUXZYJq14EfAEjXXmPMSQaF9Ft6vrOnQgR4njIVp03hbHq7y1GpcLF63AJbHW4GhTlKKJsmR/icgsMc8njZVmNNwmME2fMidonlw7dA5balaiuu9LmBw7AAVxycinVP/5WXz6ei3ObT5okYriJ2lZREkhiVmTZWkBHbmM72d+gqVJ48wTzZLOqYbECu8bgmVvVODQ5r3mhW8DkRjDeJmpBgZuYGyma6rTzE+Lhyk00FMjHWQ+nfJiz+xPML/vqyiNTULZPf1RGctub7dUTE4gkWWMxt5VW9F8lX1QxcG4w4wj0EwS01gZnaJ40UTpkE8EdjgjOmlYOspNIj8Ux6tLYi7+GbgkFgVblyw4GhXRJIvGLCrTn7pUFuE4K1jQ8bomU8NPbjuI90dXo+TREciJJ4F1TcFUksXMJ1/GzpIVaNh7xjJhFITxBGg1acKstTIGHSmh04048d7X+GBoAUq6Z6GwI+PpkISCPtmYM2Iq9nz8NcKaQmEiYTaYDy93RGBNjEBjeQYkjnBTAKF6L1qa6VFB6ltwZftP2JI7H7P+PgrFcSSyrrQUu6VhSuxA5LBbufTVMhza+B1a6hlAZaPlKMvPPM/g4c0kJn5S8e1Ur9eLRCccEtO+RO7yYwfQoePFOeXCxa/BJbEoROmSBR04Cih2sA8sImO3iqTjDwXNFAQDnXb6VdzuX/cN5gyZhIL7s1HQPR35snBiEzEv8S0cmvcZQkevWdpKBBmPL+gnOdhxCUrykh9X1+/D2leqUdpnMAo6JaOwUwqKemdjGrupO1Z8TmKywzAuZdPHDDTyoJlbdX1lIrb4Awg3+2m1kdY09cLHMPUktUtenNywG++/VIyyhwajqHsaynpkoCieee2aiIK/DMeG/EVo2nse0NLZYiyVkbtKNbo76ZCYQ0AROFWnAI4HR+Smc/JDRHuJcnbh4hfhklgUpDA3KI2jfEabnLOyyCybTC9ce8NB8/K1gaPV0uYG4LvlX6Ci78uYSmIoSEhHXnwKJsYNxKLBk3F23R5ATxYZRvEFGY+fJBYmibXIGgtxqy5lc9h85m3d2FnI75mFvI6J5gtJBfro7tMv4ot5axC6ZqdPzVc2NSnVQ5FFpq4vGHeLjwSmpbJt0mjxcL+R1MNN89k67Fn+OeYNnYgp96aTcFNRzviLaJHlkXznDngbu6pXw/tjnVU2MZbSsjbm0Ms60Pibn3mXm5IxlqrKofE9ZTGaoRyx82MiI6K9RDm7cPGLcEksClIYR244kDY5GmVOWocab7Imv5LULIfr/aszfuyoXY2Ch4dhYsxAdiXTkBOXjEndkrDitXLU7dfL26Qvaq3mXZnpo+apAPdJZl4PaUjWEuMNnPFgzdR5GN81GVPvGYDS2AzkxpEQ78/CxxVLEbwslSeUPv2LYNWNlBUmujWO6v9pCoZDGiJICSGSaT5Vhw0zViK/70hM7K4vLKWipkc2qhIGoSg2FfMHjsXRD0m8Gue3ScxEq0OSl4d5bgr4zHwyxyLzk8C8PtqFmhCspJSuw1Dy5HhUJHa9atc5FeXswsUvwiWxKEhhHLnhwCi9vTUnryubY3iJIyJ9qwZaIN9fwZacJci/LxuTuiSSxNKR241dyvsHYfWUOWg6Zb1qpLGvAH9kPTmJBEgGnqYmBL2KmXp+NYSPixdhAi2k3M5JKO+ahZyYZIzpnoLVufMROtV8PUPaElbWlSk70zLRtGslcUOxDOhw9sBJfJg/Fzl/Zp479UNlXLp517P47oGY8edR2DhhEU5vOWK9X0mEtTR2swc+ElWA5CUCkzVmpolQRG7+IKlUDO8k5pKYi38zXBKLghTGkQh0EKX8zkkdmm4URbxlSEwO1L6WSwFc++wg1r9Si6I+2ciNTWPXLAuFvbNR+8wr+LLmPXjO2O9Lklw090wkZq19ETKWmN9LS0zLXBPBq0FsrF2Jor+MQFFCJirjByE/JhXjE0hiY2fAb2b902O05pt82jsiMENiEstJuzfkn6JzJ78+gIUjc814WM5dz6Dkf/bF7NhBeOfBFzHzqTewNm8JrcjLDECiJol5Gprgb2YMdtTWpGDr7QZjoSpeQTtKxCUxF/9muCRmQ8oiPXMkojzOCWmUxD6pjZRf07wMf8ifFJIn/CcbcWj+JqxIm4KSHuyOddX4UhZKHhiGpcNysG/FF/BfUiiF0/uYtF5aZLGQVlpIaSE/gn6ftcQ1oYH7bYvWYlrimyjvPQRVJLHCmDRM7JaClS+X4epXh4ArTFys5OQzKq8R0bHtptMiMH3VSHSqreC/1Ig9i9ZhRt9XMfnup1HTMRWLuo9ATWwWJnZJQk3yGOxevMl0P1VeEVnYx0jteLURkTnLFplskEDNE1ydlMM/IDE5SewoXbj4VbgkZkPKIqWJFgPnhLTLaKTlpo1ITMqvbzVqLqk5TzQeYlcybxlmP/oySrsNQmlXWk6x6Sh9cATWjZmBS1sOItxgnhsyHLthDOgP0xYLkVZEZJSWIDXcHrMKNYaw96MtWDQ8F1UPPIsKdieLSWJT4lOwhKR4YtVOhE6TFKNJzCEHO78RsY91SiSmvF+lwxWe8JoTLWg8cB5bCpdi9mMvYnaPIcYSK747EePv6Y8p9w3GkhdLcOSTb9ByhTEoHRW+mfkl6SoJxS1+kjXmI0lrsN+cUdpO3lwSc/FvgktiNqQsUppoMQqkn2jNshVOG5GArBh9aNajAHIkru09j49fnYaqnsPY9ctGWdwgTO6QhJKHnsW20hXWstJUfEXXzF+JN+xDMORBC7fmXZ8wz6rPR4Sbwzj6xV6serMG1X9+3jydLKbkdk3F/LRx+P6dz+A5cs0iBScfTl4jBbFh7+uUY0nW0fEyXTSvzEDzx74+gu1TF2P+Yy+h+J6BKOqYzK7sIEzpmYWCvz6HtZNm0s8BMiCZU/PUrpFE9fRTVhejUPJ66NFsk7Q6y+ZEdP4c0bGdL512nG/OugsXrcElMRuOfkWLUSD9SMmiLQeelJM6hHpYR/owK9eY2fr0c2XrSawcUoSKuCzUxA9BWZdMTLirP8r+Mgp7520A9DSRcchSaWQAyY0kxvNm+r+lwpqRf2HXUWzM1WoYI1HYIRklndNQEJ+OWf1ex9bK91B/4ML1TCtzEvtYTtp1TjvHyq6MN6tb2UIi1pQIHrAMLXUBnPvsAN4dno+c2CTkxaagos9wFPUagkndU1E74CXsqF4O/w+nSHoMRGsRXoq++sR8K25ZdpqrplfGdax0b0jckai8Rp9y8uvCxa/BJTEbjm5FS0TpbMU2YmuXnFolsWshnFu9D8uSJ6MiJhMz4oehpEM6Jt01ENOfeRM/frjDYg1CY2ENjLBBJNZCuyVMtW+FxMQ0np8u45uaVaj96wvIvXsASkliJQmZqPn7KHw6eTYu7jlp+XXy+wvE4DjfIPQj96C94oUpJ0/4jzVh16xPMWPgm5jULRUFTK+s5xAz321qr2S8M+ht7H9nNZqO0rJ06obWmPlYCvOuYpKWjUQG+ZU/7TgZis7UTXm1nVy4+FW4JGbD0a2bxZyQkklJZbbYCi4nh8Qkhpd4LnysHofmfI6FT72Nyi5ZmBk3DMV302qiNfbu4EKc3LTfjpj63mK931hPlfUxcrOADsns5u6kNLrlgg8/Lv4SMx5/BTm06sq7pKMsIQulDw7F8ldKcHrHYcuv4GSewaOz74iOTcz6kT85KA1P0HxYBHqhXGW9yu7g9+ewqWw5Ch57DpP1ArvG9uJS2ZUdgPwHUrD4+Qk4vI7ErH4p49KbAKGgNQFY3VXVUTMT+pk1ZqdpRPt2frVxnG0nFy5+FS6J2ZCySGluFnNCGiWlvonEpLdXKSIxObfw/NVvT2DL1CWY/chLqOmchRldhqL4rjRM6zMKm8cs4Hl2vxSY0Nph9Yysjgn4TAyMgCTWooH9EG0Xza9yFN7TgpMf78Hcfm8jn5aYVrMoTxiE3B5pmDVoHI5u+t7yK2hLcYIqZhGKIyav0Sf1Ankz02qigwb35CZRuXnuxNYDWPFmFYrvG4qiexJR3SUV5fHJmBz/FAoeTcdXFQsROMrurAgwQIsrpMH8ELNMEmQutJpGM0XVF6lT7Sh9R3Rs51nJRjm5cPGrcEnMhqNXN0tEq1ohMT3Z0yc+RGLyqy94H9uwFx+9WIFp9z6L2k6ZmNZpEIpoiS36+2j8WLUO/oPX35eU7WWRWCCKxPwkAc1yF5kxlaiMnf7iEN5JHo9CEklN10GoJIlN6NIPZX1fxKG131p+Hf/caqOkFLPIS9biDSSmk3Jo4oHei5RopVjjwYpK8FxpxMHVO7BsSC7KY9NQ3TkZNd3SUJgwAFN69cPczNfx/cI1CJ1gbdiBNHXEQyITiemBgba/lcScU7aTCxe/CpfEbDjKc7MYbddUB00Ek2hfG54SiV3hgT2B3Tyq3P/uVixOm4iqhMGo7ZiBqo7pyLsnBctTc3D2vV1oOUsqMRGLK6Tgelk7QAUXc1BarC8Ladb+DS+DE6e3H8aCzEko7pKCaQnZqGZ3ctzdT6Lw0eHY/+HXFsk6pMA8KhntOkTm8LA5zfMRElOfT3NFNECvJ41aVoiH8mfVAY2sk/XYWfMh3nnqNVphqaiIT0FlrzTkJwzEuIRnMGfIGJxe/41VKQykyb9aHjuaPJWc4lPckcypPtVtljBTzp/zwpTx68LFr8AlMRtSFinNzWJ+1a0zHwShGGLR+I4ISLxlDWCbCM76sb1yFWoffh4VndMwvXMGSjsmY3yn/lj+Ujnqvjtrddeks/RuEYssFC3BQxXXYD7T0sB4QC+WU6mtPFg4u/solo0sQHnPLNT2GISa+AxM+s8nUfLnodgzfz3CF5kTx9xRMuIF+9DwhS1yM9AJMYvCGDLjGS/pI0AhqWiSatjM4rXOX911DBunzEbxI4ORH0drsIc+PZeGcR2ewtT7M7Fm7DQS7RGLtRi3nlGIo5SExNSciEpRSkw+uWNeS1KaFoHrjQW9BC8yi8qtCxetwiUxGxGduknMr8glRDUMkXaoaFoSUVaUDBjpq5TTEMH+q/hy7HyUdk1H5T3JmBWbSaspCWPY7Xp36gx4LigEo2NiUmqRmNIwykqldSwSa4qCZcU4nCRcPHASH42tQc3Dw0ggmaiNS0PB3X1R9eBw7ChdCd9Bduc0UOcURlsb2nUkAttBq2W0yPrSC+LaisRkSikvfm6VURWyMYgjG3Zi3qgpyL83EyXsWlbZ39DM7Z6Jor8+j42l76L5MKldhGhnXuVVUopCTy3Noo+GtJQOXXVjMPsBhPxeBANehpFvhZK4cPHLcEnMhlRFeh8tVGFrT1ZSWAQmC0FvOQapn5rhbhkw8qvxJP+WE9j4Yi3KYtJQ0yEZs7tmoaxbGqY+koWPqhbCW2dsNqPM4gURmVFRJ3Gd4FZcpvPyLdoTFwjXjpzD50XvYOYTI1HVPR3T4tJR3mEgau4fii8mLcDVb06gpdHkxopL8bYmN0GEEtKHTkRcOm+6ePZWS1tL7Ggbz1zG9sWfYFbKaOTFpKKscya7tcNQ2D0bk7tnYG7mZHy/eDM8J+qtAkoU1o5S1qXWYPOTsIKUcFAPMOhJpMV6bmE9R46dgC5c/ApcErMhVZHKRMtvJTH5CrErd/7D77A6uxAVJLHaTqmYGZeJyt7s9iW/is2LV8PfIN8Wv/wjEhNxKX4zCZUiL54zV/DdnI+wIPF1kmOKIbEaEkn1vUOw+pUqHN+wF6E6xUr8kyQWdFab0HllQOFtEtM6ZGYtMllmwTCu/XgWm4qWouovL5DIMlAYl4WSnkNQ0GswcvpkY+HQHJz6VF8TZ3wqqFMubmTB+piOX91ldR8p10nM8Ug3Wb3m2IWLX4dLYjaM7t4kPycxqiD3ne6kKEk6KjQfv4o90z/Fwn5jUB6TjtouJJguaai+bwhWvFSIH9fvQEhTEAip5m8nsbARnQpd9uD0R9uwMnsSijQmxe7ktK4ZqOyVjQWDJmP3ii8RuGLbbVYBfi6tQN1X073jVmNhssrC+gyd4mD3MuzxI9RIKhWRCc0tOL35AFa/NRP59w/H+C7JKO49BOX3j8CE2CTk3jvIfFOzeedJ650sZV5VyPQVg3LolF+vI5mnsCIyh8xknQVYu+rCu3DxD+CSmA3pt3TWEUvf+WvGqhwFo4Vgkxj3jCLKr3DlwBmspeLWPDzKvKBdG5uJUnb1qh4Yii/z3sG1vezq2R/0UBhHiU14J3Epu5LjRucdS8xaK18HYXi+Poy1L5TQAhqACpLH9G7ssvbIQvUzr+LL2avhu6RQhCJRvI60gtZOayVWn8eLgI9UoxPKj9ePYEMzt8yV4qUErvpwYNW3mJ45CRN7ZaKQ1mBpn6EoTMhEfkI6pj/+InaWrUT40LUIa4mr9JxA5C9xyCxE4gprMF+iepYVFuBZkZgG1Fy4+BW4JGbD1teIWKrD318gMVkQ4hwHZ3Ydw8LnClHQQ/O3BqOGRJZ719Oo+PNQ7J37CULnmiytZZSKX8orYtJ+JPFWSEzzqyTya8IfvISNo6cjJ6Y/ijsOQG23TJSQNAoeGY5PKpbBc9F6eGDiUryOtILWTovEPM3N8HlJMzKd9E+rLEQC07c1ZZk5BW883oAtMz9BVeLbmNhdy1pnoppEVtE9C0XdUrEkdTwOLdzEbrDmXTAeBlVwvVMpcla5RGZmZVs9lfR7Wc0suQb7zYMU1oRLYi7+AVwSi4LUxREL3BOJkbiiRfSlrmbEH3eOfXkANSmjMTk2BVU9teZXFibf9RSqHx+Jw6u2WU8NxUw2STEmh7MsKDIdKEmKzkvBb3gCqvOnPPgibyHyEpJQ0KEfqvQx3vhUTLk3C6vy5sNz1l4ZzCGxmyAnRxSdI45XPTn0ksD8WpPfGeh3POvYITEdM2ON+y9iXf5i5D08AlO6pqA0Ph3V8ZmoTaA1et9QvDs8F0fX76YVykAMagVrQT2trzrWrcqnagnQ+gqIxAIiMfqSGBJV4i5c/DJcEouC1OVGldGRlE/kJVWzqOeG2VvabQxj//vbUPrkS5jQORFVvYagLD4DOZ37Y07a2zjx5T4rKhPcIj/xgMMFBnLUAbfSW52T4SUCE5np2OBSGFur3kfZA4NQ0Kk/yuNSURiXYpauXjl2OjyHr1jxRALcCCcZx4sRJihryMwLo2iSrSwyvT5kAjgQqUSeXFpOIudzmw/hw1erMalbCsb/55OoJYHPSBhkppdUPDwMm3LfwZU9x1kYKzJ1KeuZxlWKPvKrMmqGv55WtsgC02KQERIzQVy4+EW4JBYF6cuNOqMjauuvkRiZxnvkKr6u+RBFjz6HSTFJKO+RTesoDaV9BmHVa+U4v4sKLFiM4cRqJBKTHHXA7a+SWB3w3TvrMfPJF1AUl4TSmGSLxEggy18uQ932Y5EJta3BSUbi5CHIBPXCtsjMCWb80c0ICcV8schYSNw6EQiK4GoARz/8BjOT3sLEjn1RFpvK7nS6yVtx9zTM7f8adtR+gOYjl0wVKqiXpFVP0WRhGam0+xiVHi7wrEhMDxaUlpMhFy5+AS6JRUMKExEpkNRNxGU6PPa+tJbutnK1NIVx6quDWDV2BorYpcoheRV1y0BufApmPfUytpe9i4aDF+w4LVHUitkRA51zHOzzSlEEdgOJsbd48P0tWJI+jmSZjhKRGLtxsoK08uvJT3ah5bJC3Ag7aROv4mpdLHqO+GVGNfVCq1KEtU6YxLbOjB8nQkrzkWvYOe0jzOr3GvLiElESm4SqhAwUd01GbkIyFg2ehMPvf4XguUbjX0FF0Or8isQ8dNRL42GHxMz4m+3RhYtfgUti0TCa6Qh/WiExazj/unKFrgWxZ+VXeGdYLor//CwKumchp2sqJnVNwuLMCTi69AsEj11lcDuAoKi5UeyKzcBxkNjnlbJljdkD+4IHOLZ2Fz58vhDV9w1GcWyKNSZGEpuXMQH7l26C/3Tkbc4IFF90mq2JPrGmiaiORWb829aYmV1Pa8ysla9/iROZMkduqt93ARvzF6PwwcHIiRuIsm6p5qviUzr3Q+lDg7HmrSpc2HzQYi9CNaoxMUlTOIjmoP3xYFl9pktppeXCxa/BJbFoSGGkQEaoRDaJmSX9tLpEhMR4XhsicDmATdNXofzpV1D8wHAU9xyMybRCxscn4YMXinF14w/ABdoaPrtL5pAAwzocoK2czY45sM7rXGskdvbL/fjs7VpMf+RZdilTaO2kIqdbGmYOfAvbp61C/eGLtmfFq5gYLbdGuG+NgVkliRYfCcwXDFjjYzy2QrYC5Y8eIiSmsS4ZfyzmiS8P4N1XSpBzXwYmdHqGXd0klNBSLExIwbSnXsT28hVoPsD8+ay8+Fgn1kpAIei7lT4f6znA0joEJnHh4lfgktjN0PiP6TZRkTTxkvQRJoGFwj7qlUjMVi6ZEdqc9WHV1PnWXKleg83M9YmxyZjYMx1rx89EcO9ZaShaaImF2S0z7wracDhAon0Tr3ZsxdWukhGRRUKRxK5+cwzb8hdh1uMvooCEKSLL65aOmidfxvrcd3Bx7wnj1UQnC0qkxbSDGqzXPgkjQHHSdkTEFk1uTlbs7FyHk08TiKIMaku3ILuyP364FdXpb+HNmKeRR4u0gt1KEVlp7ywsoXX6/YLP4D1Ja5H+A37N3m8hp5HMmD+PvmNJcb709PPEXbi4ES6J3QxDYiKbG0ksKCLjsUjMWCBSXFofwQNX8cGb0zAuLhn5+ixbD1pi7N7l/HkIPi9eChy3lNVYLowzstAhRdFI9239t9y1I4k6LyJTTgzYFfPsP4c9NR9izjOvIi82EUW0xApIYhV/eQ4fvlWN0zsPGa8mGbsbGAjQwiI5/xqJ3Sx2NozcADnofUp9oVzd5GjP3DYevoQN1StQ0vcFTE1IRml8Gqq7kchiuE+y//DFUpza8AO74j7zIoRq1ZSTeQv4A/CTxAIenuN1cOHiH8ElsZuhLp+W3JHFJA1r0QtG1vuSenqmgWet+iASa7kcRuPnh7FqZDmm6Ove8bTGErKQ2zML5X1fwdbZaxC+KI+M1wg1nIrqKLw2v0ZiOtQ5x9Ax4EHoRD0OL9yIuQPeQA5JrJgkURifjuL7BmPp8/k49hW7sA5YngiJ/cwS+3mXMlrsbBi5ATrhZY6cpax57GRbHO2/6sP5PcfxScF85P85m0SbhBrWS1kXWowd+qPmryOxMXcBLn933OqGKhwTVHhBrz35m70IkdBcuPhHcEnMgTRVBGaE6iRLLEjGYDfSWGLmj1Qma0oTPqlfflpZRxduxrsZOchPGISCuEzkxaWj8L4hmDt0CvZ+uOX6qhIkDzN9wMSvY2sjcpLYvq6zhoTQOS1jLXU2fuSgj5Gs2YX5KaMxpcsAlJqngOnIpQU4K20Mfvxsl3xGIGssSEIIqZvMfGgOWIDlCDE/pGQT783kJbGzcCPkKBKXFWY+KsLw9Kz8iY8khpBIcvs/3Y6ZWWOR1yMNFbTEqrtmoPCegZjcqT+qnn4Ju+avBc7RtDTzSFQ/3AqMX+9uRibbunDxK3BJzIFRTiqNJEJiVEmbxGjH0AiyVl4wA/T0UvfDWXxdsBzzn34bpd0Ho4gkNqVzCor/PAIfjp6GE1v2a8l8K3rGqSdv1jpdcrA2v4XENLAva8z4EcuQMS5t/QnvZE3A5C79Ud6dVg4JQuRQ8dSL2PfR1kh4QeNwsmrMNAmbxETGZl0vHiteReuIjiVRUVyHHEVi6k6KxHyMh/FqpQ29XCRRnoW6oxextXolZvV/g93sTHYpB6EiJh2T/9QXE7omYvFzeTi25hsEzutmwQBK3HkjwEm81Uy4cHEdLok5kBmgMRiJupJ6CTlCYlo+Wh+BDdDwkIZZOLf9CFa/Wo3pf34Bld2HoCQuCxM7JKL00ZHYXLYCdQfOWSYKIQLTqzUiEIclxIU6LYnEKqW1z2tf7rLEDInpnO3x0p7TWDgiF1NjB6KiRxYq2JWdfE9flPxlOHYv3UCCkWeCG737GCaJ6YGFyqnBfuXDIbHoJO1kI3IDHEdlRAPvPubc60Mw4IO+L1nPk5rcIcPKhG0Ko27nCWyauhC1f3uJFuMgVMYPQhnzOjUuGbn3D8KK1ytwZsthtHgZn1MZtO5Ml91E4sLFr8MlMQeyvvTenp90YciM2xBJTAP6JDCqKpWTlphRcwvHP9+PRZlTUJaQjSp9JDd2ECbcMwBVT76CfYs+R1BdJdssCbYwjhDjaoXERFDyZnRWP/Z57cuPzkuk1w6JXSZBvvtyKQrYVavsMQjV+vJRh/4oemgIdsz6EOHLzZE44KcFZqYt0IHHsiTN/C+bwARtHWkV0R5E+JH68rJMftaPtWSQXiMy3xpRPpX+pYBZW+yDFypQ2GcIivVepT7CG5+OcR2fQenfnsNXZctxbd9pa8IYw4SZ3wAJ0rz25MLFP4BLYg6MUpIq/CQuraQQITFrUN8iMSqXo+a0dA59sBMznnod+fckozJmEMopkzslYXbKeJxc9701FZ3cYaY4kMT8YcbljGBLWaXs3P1HJOb4iSaxusMX8cmEmah8cJghsVqSWFHnJJQ8kI1NJQvRdOScmdZh4nNWZ1VYOTFS89RSZGRDe460imgPIj+WJSxLlXWklT20toeITF1fulokJr/iudMN+H7RF6ZeCntlG4usKCYVuZ0GorBnOuYkvYFvZ62G/3idyaPIK+hnjC6JufgNcEnMQWskJiU1g/oBY4VJSQ2H0GvLuWbsnrUWlX9+Hrn/MQAVHTNR3iULxd3YRXq+FBe0IKB0kFHJ6jEPBaTqZnDfiuOfJTENFxmPRNPxa9hW8R7mPfWaIbGa+CyUkRhK78/GRxNqcPqb/Qh5FJJQwOjVJxSpRPH9I8hPtBiQlElegaCH0eitR1EYy8eyOfPMTPb5o9dOVYBr+89jS/mH5ivoU2OSUUCyr+6aaeaQ5fdIxZIhE/HTB18hcMF62+C3ZM2FC8ElMQeySsxgPjVOW3aT4Gf/JqxBfT+NKhGZnuXRiVbN1e9PYWPOQpTeOwyFdyWiiiRmvvj94Ch8PnEB6g5csuKlRmuGvDNJwzwUkJYbd4ucjOVCkeJbCVBsJpB3x0+ExOR2pgmHF3+B9zOmoLJ7FqpiM1Chr3Pfl43FL+fh+/Vb4W9Q/4yw07PIjJE6401GtK+dVhDxc6PoUUCA5OVrkX0q21SZ0kMDTT/heaVFfwFfCM2NAVOlYU8YV745izWj56DkvqHs/mZjpr6d2TkZRbGyILOw/JV8nNi6164IFy5+G1wScyBFljWm7h5JrMXbTGnisZ8k4kcTRV0lIdjgx+ENu/DeK+Uo7z0UVZ0yMK1LNipIYoueHI3d1WvgOXbN+DXKTOWWPWdmZv0WEpPIj0NizJv8RLqTcr/ox6VP92LdKOZBn07rnMourVbOyMLsoeOwfeU6eC7b71Da6alLqUH+fwuJMcJm5qoxxN+Qx3QvTf2Jz1QoJuP3htBAEvNr0F6oBw6v2YOPRlZg1gPPmy9CVXWkRdYtHTlx/ZH312ysr16EayfOW2n9i3Cy7OLOhktiDhwSkxkRJuGQxEKeJiqnKCxAEtNXui2V8F1owjdLPzNTHKp7DsWsuCGYHpuNsjh2JTPy8NPyrQictxYnlPr6GJ/Gw8xkBkUhR4oISjovArNsmSil0w4lTE8BTYlg/sw5hdVOXRjN247j8zEzUdQrE8WdElEZm4ayniTU5Nfw5dwP0HTWJlJFrGKRxEKaf6WEbWhcLPIWwT+C/Bh/VgeyKezFVV8dGn315H3SrMaw7ALRUGNayrseIjCQwtE9cM6HI0u34Z2+b6Ogw0CTZ62JlhvTH1P7pGLG0LHYueIz+C7ZVmQ0nPQjwh9DwNdFf9bct195fSo6iIs2D5fEDNSapchs8hrEabEGrUPsTgaCXpJQAB4NzOsJH9F0qh6fFi5E+cPDUcsu0WwSWFWXdJT0HoJP35qJy1t/QrhRlpdFUGZiqZ54GqWjg61VOtSuI6QX55QNqiSJQa/fhB3rSR6UDep46FgDPi9ejIm9SQKdB6A2IRPlCWkofngw1hTMQf2JK4rEygTDhNidDDA+vd6jtCLpRMhA+9ZGsAghykk79oFIwsd6ag7SEgt4mD8mIrKyCmJVI/edsPqWZVgz/OnNe+AKNuctRs1fn0dOfDLy4pJQxHznJaQi7/5BWPlyKc5u+AEtdbI/mfUgSVx172RGW0OMqp8Q64c3CC0fbnKl8UdZirJ+rakpKr5DZgYmvC2Kz8mkizYJl8QMbM2wCczR+hCtMK/fC6+WTqa1EvBYitT001WseK0SOSSOGn2arXMGSjolofSREfiqaiX8J+pNVJovJQlpHEpPBy09u1F5bAXSRsTiiNTRuMq6UVg9aVQ4aaM0U3Gxe/b57A/w9v0pmBI3ADN6ZdOqScHUrgPx7utluPbjJSti27+i0ovWmpgqq1LRReAQmSEz0ZeVB0f55Wp+bLF8WH/Xw97ox5ziRjBWILuWqpCWuiAub/8Ja8ZPx5SHBmF8fCLyu6ejsGsaCjonYdZDI/HVuHm4ukNfEyfxasqFXkFyMqKtSEwEH2DH1s8bTsBHi4/7rHh1dfUQRuWUPadrYPdwrfwovA5uKJyLtgqXxCJga1YfSN/et+/dUghPwE9LTPs87eMPtaJp11m893wxcu/pi+o/JZLE2I1jl6j8yRewY+Fakou0g/4ommWhqWFGi/SeocjHURptbSXSrshLFoRE72lGCEID8havWoqnfQVgVjcv/QRj/5aNyQmJmKZ3NmOSMLVzXyx/vhDXmE8rXQrTURmk0MqTtoZTGb+ZamGsKNWBZc3oT/lxklQ2TZoSO89GBGc/2i0acmP8ssYcQg3XBbB/zTbMHj4ZE/qkYUJsIkq6ZqCiczrKOiRjzl9fwre1q+A5dsXUu8mjkxEjPNbkXWOlan1+D3yUIIlMlhhpLUJiEl1VU16K+VFcTnyt5dlFm4FLYhFQefVx3JDU2yYx/mmNLQ3Mm3bORh+66MO5j3djefZU5HccgCqS2Ax9X7LnIMxIeRu7P9hsaQwRITEpipRXA9zmEaMN7dpKpN1oEpMiXicxnlSWrGxZxwK321dtQl7iKOT0TEF1QjpKuyRiSqdnsGxIDq5tOgw0MHwUiSlrjnWiaMwCiCKvf5bEHHHcouVm0M1MsCXphH0MpEiZp4YTV7HjnfUo7fcyRsf2R1nPwZjT+zmUd7TmkL2TMQ4H9P6p80Fgld/cCCiqVL3GpfFLkVjAy64/7S/eeJR3yxqz1u+XOCSmskTy7pLYHQGXxCJg0w/5KWzyssjY5KXGWvFBL0obsLE3Hr6Ib6d/hDkD3kRhTDIqOyajNiYN0x8cgXdHFuLQxu+MckgvRGDXSYwuRoGjNEa7thJp91dJTOEdS87WaZ3es2E7qoeMQf69tGK6pqKks16wfgaL0sfh/KqdaNF7iTaJiafEAzco9Q0kRvk3k5hzqImrIc3CZ9fQ5EcMTzat33cJn0yei+K/DEfxvYMx88GRmNZrGKaSxCb3SsV7b1Xiws6jCHvscHodwMucqSvJ2IMksYBWhNWYnMmpJeba8VfjYiqrRD5UHlWpyVh0GVy0WbgkFoGUWQPEmoGupm89TRSRmKd5dsM/8401llP12EiUxKehKjYNlV2SMevRUdhIZbzw7RGjGNKNyDcjdSAN0riWdMyB4rSVSLu/icQUh0NixI9b92L+K/kofigbpbHJxhKb2qU/5iW9iUMLPkPgaJ2lwcoTRdnQofhAWTHdyVtMYkaUDonHWcbImIOK/EoLLn62Dx+9XG6+HF5Ii7b2/mdRlJCJsVrW+u/P4cvSpbiy/7TFvgrXbL2Eb6au0FIWkUUyFJmoJiKz6tEZ4Jeo/PJp0Ep+XbQ9uCQWAZWMXRGzDHUUiRlI8Wz8uGk35o+YiqIHBpv5WdXxGSjsMABzn3gF+2Z9Cu8R64vXUiNrTIZEoPDSM0fXHChaHXOr3d9miVEUucCwJ749hJUTa1H26HAUxSSagf2CeJJqv1exs3IlGn44+xtIjHH+VhLTTrTI7WaJws3OesgR0uoXyoBISVPZzvhxaMlmzEh8G+OZ95zuGSi7bygKuqdjStdETOv7Mr6d8zH8J+hZpi0t2jDrQd8E0LpoJsfaisy4dUjMKQev6g0kprMmP9EZc9Fm4ZJYBGrNNo3YJGa01HK2wO3eNVtRnfwmcnux+9ZLqzJkYMrdz2DBwLdxfg27kpfoiYomrpGOSqynk3T4V0hM2XE00ImD7hf2ncJnZYtR9cQo5McMREW3NJT0SMf0J1+0LMMdP1msxXDSbYfEbCeTrvkxJKby/gMS04Hj4IjcoyVqN9qLgvnZpfQ1+xBWl7CJZ0Ri+sjID+ewpfw9FP19JN6MHYDCPtmovn84CmP15DURS4ZMwZFV2xG6wBplpkIkMt0cnPgDQVpkZqoFU2EZjPCMfFj1er0KnctgZ9VFG4dLYhE4aiYKcUiMbtGaWBfArkVrUfTkSEzunoqyXlkoiUvF5A59sVQD6XpfUqwlEqN/QxYkoZCftoAWEZRFFq05Tty2czSJWfaFTlCkdY442iehadF49DK+mf8JZg54DXkxA1CRkI5y5qv6r8/i/VdKcfzzvVaeGE7TPhSFLJJ/K4k5YiKzoF0TrS2arOsl0fgCAQR8fvgbfQg2sI5lWTF/4cYQLn5zAvoA8MQHszGJ9VveazCqumUhr9MAFPTOwKo3q3F1x1HTpdRMGFWNiZt5DzLvWlrIIjCekNip60/WWLSobHYNG3HRduGSWARqytLO603duEkPdMrLLsnhy9hcvgx5jw7FpG7JKOrBrmRXdt+6p1HBalB/6LLllwwhTjB3fiqTvt7T4nxHUfE5kF87fu22SmImIgk9KEtOfiRko+B5D458tA0LMsYihyRWRkusvFcmSh8cjHcGT8CBj7e3SmKS20Vi8u5n3M20lPyMPxQKw9fkQ6CZuVC5bEYNXw3j8NrdWPJCCSb2ycDUmCTUmmWOaO12Ztkeew6bi5fi6v5zVqRMoIUWmSbx2ocU/t1EYlZ5LNKyymWJXcNGXLRduCQWgRq0mrXUQUIFkGLbxBGuC+Li14ewZtw05Dw4CJPik5GfkIZ8EljNYyPxBZWrWUvJCAzjBJWYMSfNaXLeW3SgXVv5rV2RhtWVjKiYHm2aJ3rat8NYni0CaGzBxc0HsGz4VEyJ6W8+VlvCPOX3ZL4GvILdK7+8TmL0rygMuVJEUhGFNyJPjqr/F0nMiLWjPysOi5y9ZFHZuOpq+0noQc0bU1yOadjEajrlw/eLN6GKXfYpvEGUd81AbbdBKO2ahqndUsyy1tvmf4rQZZZAg/yN7EIyQiWvqKw6t66kqT8j0Zm0KMz6c2pZfly0VbgkZsMoXIvVtK3GTkgjNMGVTsFLPhz9ZCeWv1CIqfemm4/j5iSkoqBPFt5JGYvv5nwK3yktzsy4SFR+EpYvZMVmIDIylliUwjj6xa212wqJmX4pM+Ln1onMCadjSv2eM1g+qhATOj+DfFpjhSSyybEktL+NwA6t8iqCUBjqvYKpWCIx831J5tF6d1KZkPxGEnMc5fYz0Y8Vj4hCpCLyMhNQWcdepmc42fJm1XEzRWRLQmvcdx6bSpah6u8vIK9LMi2xLKtbGZOI/F4ZWPliCY5/+h18Z9kXVUSMQ0VQXh0+VPmuE5QSuZ5xUavzF6lnF20WLonZUEMOUsECmvEdJo04WiEF467ndCO+mfcx5qS9jdw+6ZhCS2xC7ABM7ZOJVa9U4NTa7xE8R/WRVUDxsfvoo/UltTFKrfhEYNH6on3pl+0sdfo1EjMWB49N3uxwQuPhK3j/zWpaLgORSxLLj03EhI5PI5cW49dz1lhvEMg/o9FGXVx16wyJMa5bSWL6c0hMi0rqHVR9KFcTURUFk2P5+KPltC3zEC31snp/wuq3p6HkgaHmGwIV3dhFjks1S3HP+usorH+zFpe/OkTyY1iVi+Fk2JkZGBTxodI1dWjKp4gtcUnszoJLYjbUkNWgfUE/PN5m84kzHlqKxTZed/ASPpo0A0V/GYJCElceu2xv3vMkxvVKxebSFfAfbkTLFXr0MBD/QyQsM5FUoqV9zAvgUhgTnRHzozS4tXZbITGZK+bdSe6yW+n1eGnlafrHdTQfbzAfzS17cDAKaCEWxFkkNrVPGrbQooGmJjjjTgwoC9Grl9KVgiEunrMJTKI/x4L6RRKz89266Oc6iSkudSetGfRa/VWPTqyqNdHox4lXCTJ46LIf+1duwfJnC1D1yHMo6ZaO8rg0VMRoQm8i3nn8ZRys+gjh/ZesJ5wMq966CEyHmkurNEz59N6XLGEjLLWm0phadknsToBLYjbUkNWc9TUjvfStL2YbpZImUK58cxJLRuVjUvckFLJLU9AjA292fAoTae18M/8z4Cr9mVnoVAjqitTCqIZILEA7RCvFMkKlc/0cxWix8WbSb5XEZI0pOySx5mYvrTxRwnV42I39qmIFpj/xAopJrkXqTnbuh6kk2M8nzYF/7zlqtuJiGgwoAtPrVNFxmAz8O0mM8WiRRCcuh8QcsavVxB/Jh3bkIHDb8NMVfDfzE8xMegv57LqLxPR2RGWHRExLyMTq9Ik4sXizmWemdFVNugTXeFDHtE0v2pAYT5hxRUZK67jFWGMicdaB8qnALtosXBKzoWas5iyFM1/6VuOXQkkrroZx6bN9WJA9AeNj+hmFKuyZgQndU1DS7xXsXrGFfTr6k2lhmxdGj7lrlJkE9oskZov8K/2fkZh5KMAImRd1JUVgfr2DqPA2fGeb8M3sjzGfyl7WJwvF8SnIjR2IvF5pWPNmJS5tPkgrkRlTvow+h4wo6Qhs4vmnScyB9iPCHzuu611KWV8iFssSc4hM1aXoTFT6UbxyUMI0qy5vO4I142eh/C8jUNo1FTPjszC3axZqOiejslsaPn25ElfZrQw3KZDVjbzCG9GVkFbitelJdehlSh6mqLo0+SKJ0SIzy4Vbvly0UbgkZkPN2OlkqFkbSJHqeXS8ESeXfInZ/V7FuA5Po7BbKop7ZaHgoSGYM2IqDq7bbXXXHCWkEmshQOt1Hkai9/rClrpKrSJqox9bfpHEdEKP8xiNhnSCtCo0L8ooPp2FwCUvfnxvM94bmoOK+7MNiWlwv7B3BpY9m4MfP9gKP4nOgIlrTlWQgRXcdHcN4dhpcV9/N5OYSUo/OpDYhZBT5JxE7iINE6cOrAD600vZ+naUiMyyyG60xiLxOGlwP3TJhxNrd2PlqGKUss5ru2WQxDJRdXd/FPzn05j+1+fxZeFiXN5/RqFNPHW8YVz2+eA16ROyZvW9gWaK6lLXhpWpGf7a2im7aKNwScyGmrFGmtTtMU3fjEVxy26Yf+9ZfF/2HqY9+hwmdXgGJZoVT4WqeHwUVo6bhhPbD1uaKDCYiMF8qFZdUpGYWaPMooN/hcSk2OIHqZ1x4g43Zlmbcxv2Yu2rVah4YDCKYhNRSqIt6ZOJOalv4etZH6HhhL3KKxO/gcSk0OpuGQKT3AoSs0qlP+sjxD8nMSfKSBxOotwPn23GgYUbsTh5DK2xZFR0GICZMamo6pxEi3MAqvu/jJ0L18Frf2TER2JqMg9WWIemwijqTmrCscYXjTuvhcTkUQm5aKtwScyGmrFFYraVoykN4h52aS5u+REb36xB9X1DUNh5oPlCT2FCOqb1ew2bqlbg8oGzRunEAdIXvY94A4kZNbXkv0RiypBYi5E7JKb5r9JLHaMxjKZvTuCrifNQRksst3N/lJHEykhiVU+NwqfFC3D1p4v0SCg8SUsPHgy4/a+QmPHK3RsowHFQ3MYKVbwKYMWkMSiLyGSRXe9OOmmYuBSHE4+TMPuIzfvP4duyFah5ZDgKOvXDnN6DMatntlk7bULPJCwalY9Dn+5E4Iqm8zM4wwY1EdaegmGEBNZinvRSnDK7aPNwSYxwdMaiGWvfNHYdkMQOr96B5VkTUd7DWu6mil2a3JgkzEoeje+XfQnv2UYTSHohYhHfaNlkhBiBtElT5W2KtCjCStP82CJ9ap3EeF7KLAWkBaEnnlZsVloiTSl5+Mer2FX8LkruH4TJf3oKZexSlvXONE9T35tYi4siWoGJq6srojUwCSsdCU/+IxJT5uVNwbirc9reeF4nuRNFYhLFaBGZupYa7Ff81k0jEo/isEWrwYadlT+aQ7i09QhWv1GJyoeHoJIEXdkzw7zsPil+IPIeHoxVY2txbstB83qYKqiFBNZiP5VVfHow4m/2IaRra8pLdxdtHi6JEWrLUiCHHEQUYTV0NX7y055FGzD976NQEpeMmvh0VOp9yY79sCB7Cs58fgAtTVIKhqWYr/FLP6TIYjWbxGR36MVykYNRVor5scUihV8hMXaF9OpSNIkpHSVjDs748cP0T1D60BBMvOsJlMWRxKjkOfdnYPEbJTi/9yQ9EcoSA5kHF4JJmKLtP0licm/9PHdaITGLslQ6a60vS36FxEjaYVnECs7j4MUAjn36LVa+XIQ8lmtSXH8U9Uw3H0oZx30t2/NV8TI07iFha66FIjUX1AqvbyQ0e3zWev2CSdDaddF24ZKYDbVntXfz1EzdLTN2wjZOxdlW8z5K7xuEoo79URObhoouycjpMhArXypH4/cXTGDpghXe1jlFaJTZUuKwvtEYolCpI7qjH1sMl3DHUe5fIzGl44wl6bQ5fw3Yv+hLVD/2PHLuedosyVPaPQ2TeiZj3gs5OLvjsFVI5dVOzwR2xCGe30hi8q5zyou2cr5+3o7LCEPLEjXWqBWbaOv6n1VSu7RWHI4oruvBTKG1isXupZ+hKvk1jO0+ELk9UlFxbzZyYgZiUswAzE8agx8XfgmcpGdrxquJR1H5eF2bWYd6OGIcZMZKlJaLNguXxGyoTTvkoO88mgFvTwj1+85g/aRZKKSyFN3TD9WdklHVJQVVvQdj45R34Dthv2pkhxWJKR5DElIWfTm2hZ0nkZiRf53EotMRT5jzHnZ7P9yJuf1eR7GW5OmaYp5Sju3WH9OHjcOJTXuo1CYRC4pXZKOts/9PkphTXyYflBviUtmNMLTGBc0DDic2xe6IVU5TViESB8Xyep3EBG6v7ec1KV+Cwr6jMKlHCruW2aikhZx7d1+UJGRi3Us1uLSWFvIpmmOsKN1QlM9m5stDMVFF4mdidtIu2iZcErOhNm2Rg6W4QuCqB8fW7sQHLxaitEcaikliZqJlfCYWPfk6vqn9CP7zetGF4akICq+bvyEx40Aa8FOLaIGJeqwJBv9FEvOTxGgdisREYEpH6RlDz2aTo+t2Y3HGBFT1SEdVtzTzlPLtmKdQnfEmfvp4m+YeWHEJipp5NN1Kk7iEObtNJCYq+WdITERkTmnbEMCZbT/igwnTUfiXYSTrVNR2zURtlzSUd0zG7IdfwNZJC9Gw5Zg1fZ8BVWeaZGKuD/OnrqqJW+nYSbtom3BJzIbUS0tJe4xaWWg6eRW75q7G8oxxqOmVhbKOA1FyT39U9xqMD4bm49CKLQhekRozPAM5Sm1u7no66dXifx5YHx/R87h/PLBvqbfTvbJP6EmBureMWHErDdGiIUuds5nk+OZ9eHdkPmofGIrqbhko6jwQozs8iaqBr+Dgu5uAcyRcBVI4BjMD/CSuG5enttJV+iIxh6Sk7wpjMm97V53pnLZyNjB+FJc8OcLQplupWK6LU1IrkCRq1xEWWIRj1gzjoUmH7oEzjTj4wVYsGZ6LQi0/1CkFc+MHY1pMJsvNLvSAt7F37mfwnqgzySmsroKZ2sEbQsDH0jlWmCQKjpNVE9f/os+YyrhBbjzt4vbBJTFCbU7K2MC9JopRFOLKD+y2jJuO+X8diTm9h6A2Lh2T73rKrOq6ftJcXPvmeGSmuPTWUU/TpmmFtOgdxyDVxnwGzqIDix7sdu7syD9FZ5S2I0ZxRDL6ardeDGQimhqhF7jNS9xMw6waq0S5ObP7CFZPmm4eQlR0TUNJp0RMvOcZVD8xCt9NWwXfgYvWgLeTHn9uWJ7aZN4+z41ITDmXqH7kxcmcCc9dkYOdvAXjRyfpcrPIjHIiuEEUSHLjrhAi0Xh9AXiCml9mpWXQ3ILmn65gz+zPsGDAGJSQuCr00Zb4QSiNTUN+n0GYO2Iq9n+yg3cj5Yd51U2AQYOsM/Ml9CgSM1Yp8yhS1+KK+jiMZTVbYl03O78qx8/KaKUREQeK38UthUtihNqZFEQ9D41wOYpy4eujeH/QFEzvmop3eg7GrB7ZGH3XExh9Xxq2zPyIHqjeEa2y4om0WWl55MmcYndsmugWfiOc8NHxiAxDeldSlh3jtBRMFhlJLBA0X8d2cOnYWWyc8S5mDHwdpXEptE6SkN+hP2oefhZbJr+Da18fgT64q8gdEpJo3+woKuNg/k3ORWDqMCv30STm+Ik6vA4dKNKbxTrRirQOEayX5Wv0+dFkk5jVFWQYVSX7h027LmBX/nuY9fBITP1Tf5TFZ6CyZzYmJSRjzIPpWK7pJbuO8mbDXKp8Ii5JdMYpqmctSxSiBEP6TJ81Mdf5s4jMRCDPDMvAEtNllihe63R0vEZc3FK4JEaonTkkJlF7lJKcX38Q7/Yfjeq7+5lXXWb2GISxnZ/BxMeH49v3vrSsGgfRjVZiftSibyYxuRkPvwmyDIK06Ey3j0rtbCV6SV1K5+DahcvY9u6nmJM5FsUk3gp2sUo6JKL2vmH47JUanNvww3USkw5y11hS9nFECXVsn1MXTMUUmcmLOaEdifZvEQyBsdyNfj+aSWRa5ttHAmv2h+HXSiGOiXgmgLrVP2D9i9WouH8YirqlIy8+BRO7JWJsnxQUDHgRa8oW4vJP5638NrNUXopThohYdWrqmJVhjU1qFFNkJjqzZrWZWtHYnhnnY2WJwGQNi1id+pM48d7COnJhwSUxQu1MFCMrTKIbLK6FcP7dnVj8t5dR+t+fxMwuqZjePRNTe6agLPMt7N+wy9JyB4okWsyPWrM8/YskphUnHBIjaWnLH+MmceBrbMaBDduw6NmpKJQlxu5VWcckVNMyeX9wLo6sYtfKHui+TmJUTSmvDhwF1Hlz7vclsWaSWBNJTE+LTS0yPW+A9aHJeMqQMidS/rEeJ5d8jQ+HFSK/VyYm6eX33umY2CsVryX0Q2HSy/hmxWdoPl9Hs5KRMI6WAMss4pHcVBaeYTUoTb0eFTCiP03PNbXiktgfCi6JEWpndu/EGjJSOz1Wh6M1azD3wREo+u9PYFrnZFQnZKD0z0Ow8PViHP/2EH3aUAQ3i/lRK1aLVuy2AvyTLVskJWvLITFnX3AshwgCJN7vDuO9V0uQG5tEKywJ5Z1JZgmZmNP3dexetAEtWpJHYBSK5Y9KYopaK234aG0qf35aSprnZV6XsjJuZUp9XY3dH7yKvbVrUPPUyySwDBQ/MBiT4hPxaofHMf6+FCx6MRcHP9mG0FUGYhQisbCmreh9SmOKMh4bFomJsvSy+nUS03sG1uMUNRCGc0jM7U7+rnBJzIZ0QoP6Ulq96tK46xh2TpiLGX2yUXLXM6iJ0Xrvqah94gWsLVqAiz9aqyYYRDfYSMPVj1qzWrVid8Rp4b8NN5OYts6+cAORcdN89CI+GlODqTEDUXjPQFTEpZuP/JY/PBxbpq1CuM72y2xpz+SKOzeTmKDd34vEBPPggWXV59iavT4z215fEjdQ/mlVtWhZaxm53L+49SesGT0NVY+PQuF9g5CXkILJcQMwPr4fcv6cidUTanFp52FeaJaa4fXZuLCH+3r1wS63qlLpaj6fMylGYo2MyRrTU2bVmjKgSJgfh8ScepHw8FbXjwsLLonZUBs2H7rlViR2cv03WP1sPqp7ZKKycyKq41JRGJOIuUlv4buF69F88tqNjfVmMT/yoJgNVdjiBPpt+C0kpsF+59h/vhEfT56FKbGJyL9nAKriM808qrxe6dhYvAQtF5gHeZUOcmNyxZ1fIjHH2PkZiWlr+7uVULmC7FJ6m73wev2GxFhcqzfnI4lp+XAVgvBdasaxNbuw4oViFNyfhaIELWedgcJuyZjYtT+qnh6JzeVLUKdle2hQmc++yRITidmXRtWoVT78tLIsApPtpXYhOyzAunJJ7I8Gl8RsqN2poyCEPSHsWboe8/q/hvJuqaiJS0NlXApyuvTH0mFTcfqzvQhf4u1fAaIbbJSoS2L90YMauyORAL8N0STmHP+MxHg+pK4N4b/qxbrihcjrkY68TgNRlaBFEtMwJSEZayfORvhIvZVvZcfaGDHRKYmo7GlXRo6sMZGYlQLx27P/L0Mv0od8PvOE1pkKEiDp+DQ2RuIw+XbyTm4JnvLg2zlrMZvXroQkVinruXsmSrqlYGqPZMxIexO7F68388xMPSiszUmKQ2kESEo+Q2LWS+qW6OGCn+Sm1dDsCpTouhhR3qw4jNj5sjcubiFcErMR3dhargWwueY98zK1Zr1XURFKYpJo3QzAqtcr0bT7LLsk9C0NNwwQJTZIM0b+VRJzSCqatJx9wTkfpAj+Oj++rF2JsodHID82GRUJmSgSiXVLwmrmvXnXSeadeVA2CIWSmCjl5giP5SR1FYHddhJThlRWPZn1eM3W5IkEo3ljjSQ1fTVJ+TOU4lQtzca6XWewfeoCTHtwKIo79sd01kElrVF90i7/oWwseqkQB9Z+g3CjXQkOidlxaG6apnI4VphEhOYhiXlJYrLJIgFkwhqxK8yWqF0Xtxguid0Mtkvv0av4ZMoc5PRIQT6tr/K4ZBSQzAr6ZGBD3gKEjjdZDf82kVi05XUzHFITkQnB+gC+o6Uxd+BbKGZXuCQ+HUUk4RxaIiufK8D59XsQvkxKsqNTKImJXqLs2VnU4e9KYio3u5JhDzv6en2LxKIJqb4gSYzSTD8ar1N3Vy80mLeaZDZebUH9+v1YO6IYtT2yUBWbggpKaUIaCu/NQt7fRmDllFm4sPskQk28iCrcDdaYVQVy+hmJmZVI9DjErrnfQGISF7cOLokJUS1NM/DPbTuEFa+W0npJNN9xLIlLQmFCCqofH4mvp69C+KJUm4hq+I7iC9qIwPSYnp0/tm81dluiPf4TcMjMgUNeDpz9cGMQP63ZTsIqRNn9Q1EQl0oCTkZ+91QszZ6EQ8u/hO+05llYUBEkkZiszJutdnVOXB3N17cFhhRYxmDQenVLJGaTRYBbD0UPYlQSPVXWFTHVKxKjtBxrxOmFX2JN+hRUdks3SxNV985GSZ9BmNQ7DdUpb2LL9A9x7fvT1rQTFTDqeqqc2o0mMS89SDQ+Zq6rqShbTH65a1eQNlFnHWcXtwAuiQlO46P4L3rw4+ptWDhsCnISktgVS0YRrZgiWmHzUt/G7iUbEL6m5k38BhJTc79OYo4n2+M/ARGYJrdGyIrH0d1MBy0k4bNf7sP60TNR9ZeRyGE3OLfzQBR2T8PitLHYO/dTNB/Tp5ksOEqqnBlYmTeiqB0SczpQEX+3Gkpc43y0uMzXoiRhWUDWOFUzc3MtHMBVuonMLBJjGM0Dk2lGZgv9eA17yj7A7MdGobhbKsp7ZaG09yBMJaFP7pOOuYMn4uiH24HLDOOYdCqwXXbrFa/r42IiMo2IWfP3RWN2RRlhABvaiz5z41kX/27c0SR2s4LfDHX25McMGMsrpf7oZWyb/RFmp7yF/J6phsDyuyWb+WErXyzET5/uRLhBzZK4zSQWTVrOcbR1ZuAJo+67k9iSvxSVfx2JSR3705pMQmnPTMzt9xo2Fy/BtYPnbM8WiWnsJxKLlXkjRpG5K4KIJrF/Pvf/BZjEWcFaykjkFdJbCwHoS1Qikyb2Ha+Ffaiju54qK2/mOmoirMYr1UVsBM5vOYwN42aj+rHn2KVORjHroah7OibFDET+g4OxftIcXNtx3HRBTSFl8Pl4zfykKJKiPjAcYJpmoJ/7Zl4d03dJ7I+DO5bEpOxS8Ggic9wc6PUSHZtlWWxv5/ecwKqJM1D+9+dR0DMNeV0TzQqiFY8/hy8LFuDqrqPW3V6Q5jiaHdVStStni+NElHRRukboKSpPvxWGbG8K15qbzKbQsXp8N20Niv/yLMb86WkzLlZ17xBUPjwM775SgrPfHLE9W/mU7kayrx8d2A46dMoSzdlyN/5vFVQuWWLOzHgSiShEXTkNrXsozXTTF42c/JsM6UAWlYTdyuA1P85+/iNWvFyG3Pv00eN0lCRkoDiO1zY+DWV/H4n1JUvQcNT+kArDhetI642kdyVLJ32LtNnvjXxw2Lk53UxiTp1Ios9YZ13cKrRrElOz09SECIlRTmw5hPnP5iCH3Y28hGTkxA3EuNhnUDPgZRx4Zx2Cpxqs/pWiidbqqJaqXTk7p/8dJPaboUQvhXBw0SYUPfY8RmuV1+6ZqOkzBIU92YXKHs8yHrT8EsrfDSQm6MB2kJt2o8vj+L2FpWDkjD1SZ0pVa0poSN0iMXXrrHG6KCtSOxrh19wxWWISFi580osfl3+Fd7InYTK7krJMpyVko6JbFibGJ6MqfTS+fXcT6s+xm81IW5ppb2lCrF1gvWTvY3dWHxyWZRZNYlbqEpfEfi+0m+6k9h2JhvkCtIhFLY2N/sjHu1E78E2M69IXuV2TkEsiG6fVUTPewsmPvwHUlWTjNq8mOTO9b2qp2lX7Fzloa9I0adjp2P5uCZQfdqN+WrUT5ew+ju3SD2W0PCp7ZNHySMIcKuyJjT9Y/mzvyqe2kWw55aHITbs674hThFtZDFYaE2JKEppEog1rwqnIyxJrhMzOiTaatauvp2hdfmVUla+XxS/7ETp8Fd/MWIPyx0cht0siarpmYlqPISjqlYWcR4ZhNm9cez/civAVBlKF2CSoj41o8rOyo1w4JGbRl4jLTj9qT/Vzs8jdxa3BHT+wLwKR9dXaILhxlyWmAzV4WjA/vrMJxQ8Px9t3P4ECfem7VwYm9k7BnOcm48z2Q5FWKestQmKO2NHLi/RAloJFYrajI7eqRSteCfNybNM+1GaOwyQSV1n3DJRrrljnvpg+4BUc+2in/ZKolW2HbE3W7PDRZbrZSXIri2GgyB3iJ3HoT2NRGr+TiMz0Z8YZ5UeD+ioEiUxfSdI3EjQwb17yNtYZcHHHUXw6diYqHhiKoo4kMlpjZb0HY0y3JIy+Lx0rR9fi0rYjaKljCXXxVEd62mkuIsVsRF7Woe0UgeOm8zfLzX5d/Ptwx5OYiMpZssYhMW11HAgErCd+cmQXJHDwKr4tWI78npkYf88zKNN7k/cPRv5fhmDp6HKc3XfKhBdkvZmnYdGabbdUNdrfjcRsnNjxE+Y8n4fc3pmGxLS+2IQ/PYnqx5/H4SWf0zphzphnZfuPT2JWesqjRWBWd864ylIzBEaxM+bXIopen3lpXL54xhBb8KIXJ9fvwcpnC1HYNQVFsakopoU6ISEFb8QNRMmTL2Bz6bto+v6cNW/DeWlUn36LfB/PgvauH1lw3Oyc3SA3+3Xx78MdT2IiKxGVMxbmEJjf74fP7zPnjHtTCBc3HcC6l6pQ1D3LzK+qun8oSh4Ygqr+L2Nd2SJc1ZpU0VDLjNZsu6Uqpd/VEiNOf3cMS96oQNFDw0himSiJTcbEu59E5aPD8cOMj9Byss5kTtlRPpVfUwSFjy4TPTjZV1kcuZXFiMApD0UbZUdpm3waR+bCkJgtNul5fV40eJrRrMUN5V+nNanVw7Ke9WDvgg1YkDgaud1SkdM1GYW8WeWwWzmuZyqmp7yN/Qs2InScfXJ7yoU+GBNqJnVqdd1fgZ1VI0zyBpGbi1uDdkFiN1thssB8Pt6pA362eTUxttU6P/Yv3YRlKRNQ0SMblZTy3tnI75OJd4ZMxN7lG+E9dY0RKpLrjdUojrHI5Gi5aqxExKCbuJToBmK4lS06Kt7z+07jwylzUPm3F8zAfllsCnI6PGOeUO4oXgKvXoJmJhXEGBsUEUQkr9FsRchZhypPhPAotxRKwJGoXeuQvw6JmaeYFB2zAFp/rZnXtoE3KQ/3DbfpRW8VktZV449XsL3yfZQ9PhIT4hJR1CsbpfcOxfiuSZjQMw1Lny/AsbV7rLXKVH6tluFleFl71zPwi9BpBYuWfxDExb+AdktiEuNuNy//JQ++qnwPM//6Imp7DEFNj8HIk/WSkIT3XyvD5a0/InzJS4/0z1apUCbkH5TErvx0ERsrVmBmvzfMemIV7DoVdRmIapLYxvEzcGn7AWs+FP22FRKLwBzzx5CWhLnR4H9LkJdBI2fsOtJdROahmFU+dJ1USHvqxaWdR/H+6GoUPDgUubS6S7plmikXY2MHIOeRIVibvxD1P+ibBIxfBTb1wTgkdp38EpQ9eYkWubm4NWiXJOaMkUXDQyvr00mzUd5rMKYlDEF1/CBM+NPTvDsPxPqpcxE+QivMTKKkQnCj2EyMhsTYTCVSKDZZh8Q0Jqz2Ly+3jcTsuBtP1eHbhRuwMGMSyrploCIm1Xr15qEh+ODFAhxZtx0hraVFKK+SG/LqkJj26eY4O/5s51sLJSCxqvVGMYlbJzVCZp5ettDCDvkQ0Hc+5cLrYW5YPlrcmkajjKsA3PVfasKBj77G0mF5KNL7pVrKu2sGcrS0da9UzMwcg53zPkHDT5euF1pPPc2TT6br5C1abGhXWYyWqNMu/s1olyTmuEVAt8vfH8d7L5egkHfl2nh2J2MzMfHup5HTKx1fVa2kaUP/CuI8buePFs8zDTqKxGSHSaVk3dx2EhMUNyVwyYdjn+zGyueKUdotnSSWgipaGpUPZGN+xtvYtXwdgo3KnaWjf0gSE5yEbxbVI0+qvq2pF5o7FoQ3rOWsaX3JOtP5YIhdyYA1ME8rSg9jPCQ2byCExpNXsXvaaix94k1Mj8tmHWWgmFZr7r1ZmPrIYMx+djL2rdoC/zn2K/VVK80/kyWua670nWvpSBSinW865eLfDJfEqLXhJi+OfbELi4ZORl6nJNTEDkJN10EoiEtGxd+ex/b5n1pPqwjphggsqHicJ2N/QBJDYxhXtx3Dx6/WmEURyzqzXCKzPlmofnoUNs96H4FrymUbITEnP06eVI88KbvXmcHvpWiNCR+JLBDy81rRs7HAKPbTRU27qPP70MhrpZcB6ncew3cTlmHZI6+hrGMKCrumo/iBIRjXJxVjHs7C0jHlOPnFHkArfzj5cNJ3rqUjUfgFZxe3AG2SxKIbiO7F+ou4iKwMYVkSDpOwzFwwy5dZeth0J9kC5eALoen0JXz/3kbMSxmN/HsSURuThWk9htJqGYZ5GeOwZ+VmayyFMC8Fk7w0McMkIxKLjJVQ6Ki0pOw3kJjT6J2Gf6vBhH37L+KzsbPMdILSjgMxLT4D5Xrt5uHB+Kx8MfyXlUNLL5VPbX9WJu0bRyvr8iO5LcVQAhIlFk0gDokwX9YNQytMWDP5DYmRwPwBH8waZCIwuyyywvQR3iZeP/tyoqU+iIufHMSnI8rMpOApsUnIJ9FrpYvXEwZgyhPD8VnZYvh+vHidwZ1KUD6cPEqiYLVK68/FrUWbJDG1X0usO7E1CkUXjUmZp1U8FnHpyZR5OmVZRwpjrCiRmLkz08EXxsUfjmNz2RLMfepVVHROQ01MJsq6DUL14y/ho7HTcfyrfWihvouM/FQEfbhWcZn2aRSe26hGrdyorTsD5hEeiJZbCGN18j903oNNBQvMS+zlJLEZcRko6ZKMqQnJWJMzD359N5NQWSLZV94cy1Ki+jSOlj9JtO7eUjiJRCfs7Evs6+DM4tdWw/pBmlghXnetCmuVw/KvwX3dxBwuchA47cVPS7/EokHjMaFHIiYmJKJAXcpeaRjbnTe1lDexa96naGD30+RHlaUITB64Uby8yNabH9qyRar9mYcN8iR/PKew/xWJQmunJe0ZbY7EdMHUJi3eICGxJVkkRlf19fSondISDCDEu3E4pNESNXBr9QPTDWTj1kcinNZ8cst+fPhyCWY+MALTY9ndIolNjUlBZb/XsXXmajT8dJF3dXple/Tobm7n46bMWPt0c5zVzpWETtnt/bbAjNVp6wnjq5p3UdE7AzXsTs6MzUDRPQMxoWM/fDBmBnwnNZvTgvIXyaN9IzASlXP9OnJbEZ1wtNgb6+pbon3L+qEY4pDYHiWEU6oIeKGCJ65gx5z3UTZgFMYl9EcBCaz6gaHmrY0p3VMxP3syDq7egdA1XlFdVPJ/i7a80CFaeUGtemFbrmZJbbU/tj2zgkkkL9buPy1RaO20pD2jzZGYGp9IwSIIWTyystR86aoXGjXQYcZCNDmRXQoe688T9qOJTCQiM5aKBmhliFCPD3+8E++kjkZZXCqmdaHCx7E7EZuMqtQx+OHDbQhfUYuld4oWsFDa6lbq7qtGbDIk0b6t89H5bOX0LYPiVm0I+pDGzrkfYdYjw0nOqZgZw67kPUmYRKts5as1aNjHLpIyaGcoki9ZD1I+o4BWjs05/TjyB8S/lK1GD85v/wFrpkxD7iOZ1odF7huMMna/c9jFrHjsBaybOB9nNh9E6Corjf3RcD3bEuvYNDfN6tdFVnXJEmP7C7NbG3F0SeyW4c4lMd4FjdBdn6RvDPnQEPaRiGwV1ykx0sUA9i38DFVab+qup1HdKQ213fTNwjRMHzoFx7f+aBEeIc6TqDsZCIbIk4zLjLfQUfILJGbl4obTtwyKO0Ji3jD2LduA5f1fx6xuGZjGrrIGr2VlLnu+BKc2H0KogTmzMxTJVxslsf86eEPy+RG4UIejn27HopFTMKVPCnITtKJvKgpJZAX3Dkb1U69hU+FyNGr+WANrpp710kwhV4V5kdX0jPHK9mEWcHTaoKlLVlp0/f0zEoXWTkvaM+5MEnPE3AU1fyiIJt4VG0hkXrprDMNE0sA75qHL2Fm+DIX3Z2Lyfz6JKlortT2GIq93Nha+VoaLB87So4UbSYz2XYANNZrEohgqOp+SaAK7lY1OcTskJivh5Cc7sHZoLub0yka1vgjeKRW5cWmYN2gKdq/cgqZz15eqjqBdkRgLI4JRUUlG3qOXsHvRWsweNBrje7Dr3XUA8nqms0uZhjHxSZiVMh4/Lv4K4RM0xdQbl3BXTc10K4NsjxquUB1qaMNe1PGGSnPq8LdKK/gNXtoN2uyYmIYjrpPYz8fEjNhKqD8tntfMxqQVOtW+6ITw1SCu0tL6bNw0FGrBvE4DUNM1CzW9hqL8L89j1dS5uHbsMj1b6Xr5I1GT1AOCyAvgcpBY+h7Jo0Ngxj/FPm3kVsFK206BlXRtywFsf2s65t0/DGV/GojSzqkoiM9EbdIYbJyxCpeOXLD8RqO9kJgpC390U1NRJU1hNP54AV9WLUfe48PxRlxfTOyegpxemRgTM4AWWhbef7ESZzfSQq+jfz3mlKjKKH5/EB6v134nV3E79fjvrzSTfVvaM+54EtPAqiY+auUDvywo2vstGqHnf+CCBz9+sBnvPjcVJQ9mozwhA1XdslDWYxBmD3zbDOo3ndYLdMa7tXw7JfJ0Uj9M5g9LYkw88P1pHChYhnf+/BwK7+pnSKw4YRDKn3oVK/Pm49QPxy2/gpOx9kZimkumdyt93KrINLfPfn0QK0ZXYPxDmXgrfgDy7x2EvB4ZGB+TiOKHn8XnOUtR9+15tLBLaRqjCStLzCIxn9dHy4yWutW/tOXfCyfWf3/MbQttlMT0mFxiPVZvlcRsJQxqzhDF8qdTbFRe0go3zWcasGXGSsxMfAWlDwxCZa9BKI5NRV7XVCwfXoCja741M98FhdWsKg8bvY9xmC6p2qdOOGK3VyuPN5KY05RvNZSGasOkpcSP1uHkjE+x8G8vIfc/n0FJl1SU9MhG4aMj8c5blTiykxaFAyeTrZCYgTlny50AlUPF0+oUHvUlrXYhCV7Qa0lbMevZKRh7bxqmsktZ1CPLvGc5he1j1jNvYEfVKjQevmJZYvWMw34lTV1Kb5MHvmYP25vq0EJ09f0z4uLX0XZILOqK3kxizjQLo3wREmOD4tbr86CZoo88qH1aLwLLL9vdiWtYkzcHhY9QqXun0QLLxFR2KSfFJWPd6Flo3nWGd1rFaZGS6OxXSczOn+Ms8nJEbvbpWwqlobREZOaBxIUAzi//Gov6voGcu59BcZc0Q2I5Dw5D7XM5OLj5BxPOwMnkL5GYg5sO2yxUDl1HWWLsBpqtim3ekeRN7vhVfD3/Y1Qnv4Fx8YmYGpOEkoRMs0xTbnwqFmVNwpEPtiN4pglaTde50Kq+gMdnxLLELJjk/gmR/2hx0TrueBLzeJrRRPHrsTfD605pGhu3DQcvYMWb5ZjYgw20WxIKuqViQse+mNo7E1+XrQScwVv6lzrLsPExAn0d2prYSAedcMTOn+OsZCTadxrlrYbSUFpmrpi6OA3AxbU/YEnaOOR26Iei2DQUk8QmarHEzDH4Yd231/PuZLK9kZjGNk2l8Z9EZuYQqug0va/8cBobChYj/+Gh5gtJGmrQqiC5sUkoe3Ao1rxehbMbeCO4xsDGVOeWF928s0kLT5Z/5JU3ip3MbxL5jxYXraPNk5gkQmISKV4Uifl9XrNInlkbnY1VYtiI/HRt62EseTYXY+P6sYuQiNyuyZjIhlr6t5H4bsFG6zNevCObJ08M4nQPtW/Y0FEAR+imP1lBDoFJlDMDernVUBKmJmQB2BbFxS1HsXxoDvJiEs27gYUJWRirb2kOeBV73//aImoTyBaRmCmlxDhQ7I0jdwJMZfFHwn+9ihbUk0UNOajoIqOGEE58tg/vvViK0oeGmc+96fWkUkpBAq33R0fgq8IlCH5/nhXNyq5nIDUSRqF4NA3HvLtrOf2XRGEdiSDa8YYT7Q93BInJGvs5iVlbvXZkXvim/wAblGZWq18YOO/BsZVbMT99LCZ2HYi8hBRKKnJ6pmFm6tvY99F2686qaNguRUbsHIgTrGzoAYFp7DwyorRFX8qJHjhYbVnh7GxH7dw6KAlTEw6J0eHityex/PkC5JO4CrtJ+TLxNsk69/GR2Lt4E9mcAZRRE5ByM4mJsBWxI3cK7PJo3EoD8T6/Vr/Q1SP0/QQ9iuYF95/zsNu4EwvYfZwYMwD5sYlmocn8+BRMZjdzbvJb+GHOp/AcZkWqgZiLz5ZAq07EqGthJxWpYkfsGv5N7iZfDpwIHWnHaJMkZpHEjSRmDe7zUjskJmHjtPqPViPQ2utBdRVITnUHzuHrqpWY3vc1s0xxUY905PVIQ8lfhmHFKyU4/uU+axCMARWV2qWXKag7aRq67q7sMkRITKRh58EQJo9+dxLTHDbi8p7T+PDNKpTeP9gMTufFp+Otjv2R8+iz5gtA4VM0S+2yGlH5aH5KTH3aJGY2VpR3DGQ5a85fY3MzPD69Sm5D44laEFFWKttL6EgTvi5fiarHnmd7SUJe7EDk03Iv6M62c38mltKi12qwoXqxHuMlAWrRyehrri6+Ee3bwtplG5HlblnvOnYk2p/khqrXQbS0Y7Q9EqO0RmI3jotRDMlICXX5LQS89KkvRFNnT287hNVjZ6DqryNR0C0dRQnp5sXomn4vYXPZUlzde/q6JcYgamDScy8ZzRfwMXq6mHRsMelYJKYG6ZCYGqNRfOu0Jbew0Slqkahy4qRXv+88vixcjJlPv2KWYp4ck2xILO+REXRfiqa9Z4FGO1Mmf6zJUAChIG1PldOwF0+RrNUdt3tfbR4qqh746KO4Ek2/MWXjj/mSVdSraTgfQsPXx/F13mJUPPYsxnV6GjkkspLuabwxpKLm7yOxcco8nN96CC1XGLOeWGp8zK4oswQU4zerzHJfzhJdKz/blERtWu1M4pLYb8edS2JqLCIXNUhHCXVnFLOwYR7asBuLnstHyX1DUdQ1DYVdUzEhfgBmpL2J7xeth/84uwa2dSJDS8HUU/Cxb+kNeKnQtnLfRGL6+8OQmJ1u809XsGvmGixMH4+C3tmY2DkJYzsNQMHDI7Bu3Gxc+upH6zNlgskfSxEhMZbCrj8RWPAOITHlXyX2saweiq6tyMOUjRZs5E0MndCKvlfp+2IYlzU+NqoQU3qlsGvZz1ohpEcGSvtkYsbTL2FL8XI07jln3RT0XiXbXNjPK8I2ojEy07W0SUxWWdAQmF6NC9nthu2a7i6J/Xa0DRLTRYpcSUtBdcEdEpOIxHTGeLKVTtKip016dK5TYhVteWfd+8FW1Ca/jfyEDJTEpKEgNgXjSWJzho7D0TXbEL5ET7Zeqz1rxr8ZE2NjC1Cx9W5cNGFqX+mrW+uQmHNHVXZMuhI7X7cKitoiMeXJcvCdbsSBZV9g6bBc5PUehEldkjGxSxKKHhqOVS9X4MQnuxC6ohybwAyjsNyx3qWxy2htzLccLZ9tGlY9WRwlg1v3K9M8dEIXXFaYHMydiyJPTTSuDl7EnnmfYk76GEzqnojcuIHmJfFCktnkbomYmzYG+xduQOBkvQkfbA4h1Mj2Yk+wdq6JIKvMvL7GrU6Z/LDe9VaJ2pDcosUOZsGJJyq+9oo2RGL8MbdJS0FFWr9KYgL9a92woI9NQuaUTqulXAxi28yPkfeXZ5FDha6IzURRXBomsFEuejkfl7b/yEZLj/JPqFE1BgPmjm3SMQpuC88Z4b6VL+tu+jMS047kZ63x3w/VhLE+TZ0x2cs+nF6/Gx++UoGcPoMwOTYZObQ+i+8fiqWDJuOHxZ/Df0FaShhlUyYlKptNZLwRmG4WXW9x9m8bdDnET+r5qfS6XuZa6aan6y/LXWSmEzahhRuDaNp/ARtLlqD4b8MxNX4giuKTURCXiPGdnsGU3mlY8VIJzn9xwNws9f5qC4nMxKU26FSg6tLcYNlumKhxUhIuif3TuPNJzMcG4bVJTPC2wHvgMj6Z/A7G9khDTscks6Z+ebdM5Nyfifcn1aLx8IVI49DGQwKr83vhoULLyrHSYMuW/AFJTCphSMwh7kaS8K4TWDdhNqZq1dIYzYnLQHHvwZj51CvYWrUSnjOarUkYEnMySxGJBWxR/RO3OPu3DSqhhvKbKR6WStfOFE71JtIxn3lju9L4mC6oRCA5nfpiHz58vQyFD2RhSuwAFHVnW4pPwri4ASh5YiQ+L1yCi3tOKwErTj3pVDwiSNWxtkrHEBtbLsVYZmxHAXOzdEnst6INkpio4uckdn2ahfzYwkM1wLCmGqjFEqFrAZzctB+LXijBGH04tXMqZnYbgip9a/KJUVhfvRTN5+2VHawo0Bz0k8Q8USTGyLRKorP+ChueeUeTvs2YhhGLxBTe/Ch9ifYVxS2EojcriprxOh5QkcJH6/Bl0VJMvXeQ6UoWJ2ShpHsWyh4YgrVT56LphPWOqOlKmfE+5Z6BRWgOiVHhTLVSbnERbgt0KTQm1syyao1+tSHLguUJ1RvrQh8Y0ZhWmO3IVInOySI704Qj732FBdkTkNsnHUV9MlHQKwNTeWOcel8WKge8hs9rVqLxeJ1VWYYEuWOejqs+GZHiMkICo0Vmvkgf1bWURLxQbqhzHURLO8YdRGK6c9lX1Pi3hS3BDNKqRRDN5xrxzbLPUZsxHhO7paE8Ngsz4rJRTRLTnLFvlq2D75o6GAxOpdVqFVr9wizjI6Ji+mbqgSGwf4LEdOA4KH+3EKYWlE9NMdGdXmleCmLrtI+Q+5BmniejNGEQSuIzkBefgvffqkYDSc5AiqsFJVU2U3kMrKkktiWmqMSNdwKRKf+yeJz2oxuUKZN+bFEb0LuQAXX9VJciomaKZqUcuoxdMz7CrKQ3MKlnCqb2Skc+u+uTElIwtnsy5g2ZjMMfbIP/PK1ctT+JLDwRmeLRsalQbswcxoCxxnjGON8sco9AB9HSjnHnkhgbhiEvXX2nsRDXTlzBp1Xvorjva8jrNRjVXSn3pKGKSv3Ri6U4sWk3Qo2kIZJXgIor097LwM1MUR+i0IoYRsEdAmsLJCZQj3Ys+AzFj43ElLhUlMaTxGLTMblzf7w7qhiNWuVVXllnWpVUZZRat0ZiTk/oFhfjlsPUU5RYTcwiMnNM0SXTqiV6bU0PNcwYWRPPqJvY1IL6709jfe5884m3ib1ohdEaGx+biIldk1D5l+ex5tVKnP5sL+ufMSlSRag41Dsw3Uoeq5r15FLjYyIxpqe0bxYFj0AH0dKO0fZIzFxk6ymgzH+NaUhEHOIqA3oTgZlH2w6RKQ7i4uFzWDZ5JqY+9jyK7h2GmrjBKPsfiajpPhhbpryDJn3e30uSZKPy+vxmkFVPJUVk+pKOFlg0yw5r6kErJKZ8yL/auNqnkjY/OnAc7LzcKkgNjSpSGSKVwgztXvkVavu/ibyETJR2zTRPZSd36IflQ6aifuthlpv+6N98XCWsW4PKxgwbEtMJS8EV5W0oxu2BCmGLCCTA660bl+xQ3Ygc0bG5liq8Lq5E+40hHFq3C4teKkT+Y89iLK2w8TEDTXe9tMcgVD7yLDYXLkTj/tMkPQZwwqtLabqVTFhudh708ET5UFo3i7xEYPuPSDvGnUtiNBXMY+1o4uD29HfHMPOVYox5IBvFfUhisSSx/5aI2fc9j33TP0HLBWoyw+gdOm8gAC1nfTOJtfyzJKaMSQui83ILESExidLULtM/+Ok3WJCdg9I+Q1Eal4HSLrQcOvbHYnajT63ehtAVlp35U/2GaYmFVVaNiYnEtMqDTWIqwm0oxq1HdGHYXjSPS/MAPSx3Ey9aE08005O4XUQmbyaMrqfDbOxWas25H1Ztw6wRUzGhdwbye2ShuvsQlHVKQV7ngViQNQZ7lq3FtUOnEW5mIIU1k65Zp87TT7syRWLqUqpX4WTNkRvqWwfR0o5xh5GYfTW1kbCxaWBfY/BOwzuy6QeUDR6PV7olIr/7INTEsDt5VyoW/+0NHH33a+t5O1uMvlWpO7LiFoF52NJEYqHIeJi2tvzBSCzyuTD9KU2lx/SPffE93nuxHJUPPmdIrJwkVtA5EfMHvom973wMz4nLdoa5YXgTh0iMZB72smRUckUlL7ehGLceKoAsdTMnzCGxsCGweiNh9sJbTJMQ7+gysklYO6pXPXHUOmI86T3djC9rP0RVv1dR0HsQSmPSUdUhBcWdk5D/YCYWvJqL/Wu+QOBcnRWZ2kP0FA7ddNm+fzYhlqKtIxFEO95wov2h7ZCY03B4VTVuoREbEYzz5Wd9ks0Y4WplIjs7jF4zCpvH23S6FjCTXPMTX8ULnZ7C1Ng0VMUOwozYbKxMmYyT6/baLVXRmM6USUfxe7nnp4vo03iigrPFWcI0dd9UDuRDYdRG5VPZULashmrvG8dbBZK5ZttrQi7zJaUw6TH9U9t/xOqxM1H52AvmLYWKLqko65KM+U+9iq/Ll+HaAXZ5lD/CKYtRJg04e0jltMgUlbzc8mLcDqgAfl4Uu1un3rd1vVtIZC2GwDTxRJaYuQfxvC632VE3UI5qW6qMBuDS1z9h9ZhpmHpfJqZ0GoDq+EyUdU3F2x2fwNTHBmFjyXzU7T4G6O0IQ2QMa7eLMHsNQZ/ektANkW5OJTsV7YiNaKco53aJtkNiFqOYC65BZVk6Mvd117Qej0vl6MkQiywQKrCP1hFNdjPPh7fTq/vPYVPVSpQ88wrGxCUhJzYVRVTkWfc+iw2v1eLijiOM1QZbktqPlayIiV1JiiFKiSFLW2wS05/UPHqOj4FzILnlrU53c9aFBudFYqwPoxQsyJUDZ/BlzUpUDXjNLPBX2iER1Z1TseCvL+GLiXNxYSfLrzom9C6fh/GYGfoacCaRmcFnRqZpAHpq2+ahImisT0QmS4jH3DNVIOJyRG3NND2e1+U2JBYRHVPk8ZIPhz7ahnnPTsKke1MxWR/h7ZGKCbxhTopjtz1jLPbPXQvPD+fRckXmG8MwPt1zzdr8zbxVKi88jmTEbvOR9kM4p52kJfapdom2QWK6QrqYunvxiqnt6J3cBp5o5OVUVy/Av7CZu0UPUjYfFbCZbpqwKPBO+eO63Xj39UpUPfEyinoPRl4cG1qngZjz+Mv4rvJ9NB268aMZaixO2xFNOX/mjFq8I7ab/hz/congupdbD+VHmqYnkyIxdQvlzkPPuQbsfn8TqgeNxrgu/VB0d39M65SKRQ+NxIaXq3Hm8wOWYhEehm8gEQZkyZlCMV7Graezflp5eufvjkDUtTFVx12RgsMfjjhEIa/mR4xmxly15bEtzcev4Ltla1E97C28dn9/jOk5AIXdklHeOQU13Qdh1eA8/LToCwQPXY0MXShuL+u7iV12v94u0U1XbV3sKbHbvWEunlI+lJxOOSSr08pWe0SbJDFd4ybuWmMWmqgoO8zHRsjLGaYnfaCBd1izzLA8Ey3XgF3LvsTszIkoe+hZFHfPQg6tkQmd+2Nh2jgce3czQmdb+XxZW4M0UQSmFTy41afDTA3wJ1DvxQ/rt6F6+DiMie2LknsGYGanNCzoPRwfDynEiTV7rLsDoSWHmkiGQZGX6l8iUmRNB1jHZqrJHag2KpGKKr5wttESKbF2RGRiDzNlwt5vCOHqnsP4dNoCTEl7Dq/26YuCromY2SUT1Xcno7rnUHz6xjRc28JuJZubmqvhLNa3xuP8XrZl3nz1ulKEpdTu1f7tDChfctIp8aDjRe7tEX98EuNFM1cnmsR4LBKTJdZk6EudvSgS04xzx4JQOG0vtWDrrE9Q+viLyOuegYK4NEzuPAAT4gZi5YvFuLrlECOkZ6XXliESE4EFrHow3z+0EeJd/tBXu1E7ahLGxPdHWScqF0lsdtcsLB84FodWbDfzyQRVm3RIemp+zNiaNVIWpMWrxxh3Mok58jMSowczq18eJXIUC4l0ND5GRgldbMCJbXuwPL8KYx9Lx6SYvpgRk8m6zkRhh2RU/O1FfF7yLi7uPWcq2UTDHxMVb75+jdE5XVVdCEdMBqKSpegaSbR//Uq3L7QdEnMuqK4vj3UH0phYpCvpXE7zOWZ6kvIqnIiPzuHjXnxWuAyT7xuEKbHJyI9lV5IkNrVnGtZOmgOfVuVUy2jrLeEmEtO4WATcPf3dYcx5LR/jeyShIiYFMzunm4/qzv7ri/j+nS+sbykSjpLIEDMVrjhZr3oGrNFB2WTtjcSMG+vXeXp4Q9uUJaZpE3Z7E5H98PEmzH5+PHJ6p7CuUzGza7b52tTY2EQUPvkCPp+xCp5TTWyqrEkGVxrqPPh5bOrdif/mTMjd3lXSEp2yndsd2s7Avq6STWIyCkRZHl5GHx00rG9NalALoiczDYKenDD1LWj+7hxWj56BCXpRNy4FRfHaJqHkkWH4ouJdBM8rPKEwbRlGG1h+kVhY3ckbLabLP57GonEVmHJfOqri09nNyUDp3QNQee8Q7Kr9xKyZJe1QNUg5zFedZPqaGfsWiVnPYe9cEnOEpTb1cKOwBhwSU90YgufWkBf3tVVAVlf94TP4euZ7mJP8Bkq7paMyNh1FMSkY26k/xvRIwazhU/Ddys1oPGvdOZSmomimWaZonDRNfI7IwdlnAIdLJe0VbYfEoi6g0Svuyv6SVWBNaPgFEqOELnhx6uPvsPzZAkzpnm6t4MBGVcj9GQNew8531iIYvZ5WW4YhMRVadWCRmMavHNSfuISV+bNQ8OhQVHXPZDeHdXFXf5T2yMTO4pXAcdq4rEaFMCSmfo4ZwKaLIUSLxPQIo72SmD46Y15PYhsL+63xV1NZ6lYaa8xqe+GmAC5/ewSbps7DtEefRxFvnvkxyeZzb/qOZf5fhmHJqyU4vul7Mpeul4K2oIl3aa3DqN6GWrUugS7rzzKkY4nOtWO0DRITdKFssa6n1EhXUuQj8nJEx3R3blFEw7HL2DlzNWYnvo38nplm9Yairqko7TMIy0fk4tBH2xGuUysk1CjaMlRuEbieHorAaD0F1b220XiuHp9OW46Kvi+ismcWpsWko+RPA1DaPQNfT1qA8N6LZsDR0RezhJEsDdO/sVxFZNa+XcF3GFSq66W1RDVobXnLJImZGmA9B3x+8+J2xKNe7tasfJlU/G/hzfHIRzvwwfNFKHtgqPnUm5ZCL+6VaT5KU/n0i/iqbDnq955iOKs+RVwamtS6ItoaIqOYTGlHmXEyJHEuhRW83aFNkJhzfaKvlWUF6ApeJzHr1Wt1LeXzOi7sO4XVE2ahXHfDHoNQlpBpPl9W8dAwbKD7pa8PWx/JdSJv02ABNA4m60skpukQssrscnmuNGHr0rWYkzUWlb0HoTomDWUdrK/3bHytFnVfHELLVRGVXd+O0ojEGK9mwWlw36rjNl9ZVhGixYZ2VUKHJxzeUOvSuvymYy0SI4H59YERdrcN4ctq9bBN6pUic0xuOnkN3y/8HLOS3zZfRypMSENF72yzzemRihkDX8OuuezKn9dzRis9PbhSJ1NEpgfGauXKTyQzcnAyJbc75HL8V9BmSMy5dtpa14q/RlHpat4rsggsekqqg9M7fsKi5wuR1ysLxSSwsvgM5HQegBp9X3L6R/D9dNW65V2PvA1D9cLSq27smfvmoyZ2ufz1Xuxftx3LXyxEeZ9sVHROsYQk9uGQfBxd+TUCF9SRsYIoKlMvLokZuU5i9nl23f1+v7HINMHa1BOJrMXLOjJvAsgTyejAJXxZ+i5qnnoROQnJKO6ehlKS2NSY/pgUPxBLnsvDqQ17EKi3xmZ1W7aewFtbuSrNSKYUryNOZqLy357QJkhM18eiKet6WeMD/HHGfqioIjLz+J9XWA1N19lcVJ46ueEHzMmYiMkxNOXj0lEen4ncLgMxo+9r+On9r43lYQYgTOQK2JZhKof/LExQ7zuyNtS9tBFqDpLUD2LNuGkovS8bpZ2SUBmTirJuGVg44G3smvUxPGfsBRIFRWfEjleVZF7IvEO0JlK+KLGhXZVSbUklvllMDbBegsEgLTI/e/B2PatZ6lUtL+vedMXprzGMhu9O4/Mp81H00GBMje3Ptsj2yB5BXtxAlP91BFbzmpz++qBhLKWt9i4rTKLmqWOTgpMpl8QM/vAkpuui66ULqLuRrpnRSTNWwzN69B+kK5VWIxWiMuOHYi5uXQhHPtyJmQNHY8I9/VBIq6MyIRv5ccmYmfQmjm/ca/kzDHkntAKVgaXXemA2iVnjWTb8LeYdyc/y5qP4/mwUdRqIylhaBV3TMOOxF7C5ZBkaT16x/CpYROx4dTXaCYkJOlT7U4klzr75zBvbnV6/iryKRTHDHPwPsXupsTJrTJEBVF209s+s3YMVz+YhT4sodurLG2oqKvWwKSEF1U+9YL6F2njoogmjIGrL6mSKyLRVVAY6qQN5cOK/Ke/tBW2GxERguoiGoMwF5Bk9FdKjf3sOUzSJmevJQL5jdfhu9lpMe/I1TOk4EMUxaWw0tEDYtVw8YipObz8kn1YianBtHioDKyhCYqwbQ0DaqM5Yj6evYXPVChQ+mI28jv0NiZXFpqLivsH4dOIs1B2lEpkA0cIfp5tqKusO0ZobymhLFHSokqrE4gpnqyXLG/1e845pxA/rx9AY60rdTC3npDlg5qSEN0r/iWs4sGgD5qa8hdz4RFrAaajqlo7SeHbp7x+MJVkTsWf+WvhP0RpmUFW70pMl5jyt1LGmvkTGK40DRRlph2hTJBYxqc24A119vHpa5+omEtM1FVo8LTi34yesnTgPFQ8/h+LYdFR2y0ZxfAamPToSG3Pm4+r+s7bnKGnTUAHYos00E4oZ1LKcQxqrIYnpiz3fLF6PwkeGYso9z6Cqazoq4tJonSZh+YvFuPzjuUgYQ+yqb2mTnniaOHVF7hCtURFulig4TiqtSi1R+9K4mBbM1KqvjrsITP6MyJ1i7dvR6ifQgvoD57GpaBGmPT7SfLeypPNA1MSnY1ovts2ENCzLnoKL674HrjG0rheDqd2r/ZvuJdPWu5YhjcE5GdLWJNL+0GZIzDGptVaXzHZr9QFevShLTHPJrbljFkKNIez/ZAcWP1uA4j5DUN41y5BYflwqFiS+jf3z18OnDzlEo803BBVAzV61QIkisSDrTBykRv/9h1tQ8vjzmNKpH6pI6lVx6cjt0A+Lhk7B5d0nI2GMBrokFl2jhjMk0fsS+XH8Re9bS6hbz9M1Phm64sfZzQfwyds1KOqTgTzW+zReg1ndBqHo7n6ovX8YdkxdgsbvLlh3b0IdD+2awX5e0yZZerwuWvgz5GGrd1a/aIdoEySmBqJPammNJy1QaJGYhBdOBGYG9i0Sc56bCZrAun3BekwnYRV1z0JpbAatsTQz2XAlie3cp7sRvsCmcUddfBXGUR81bO6LgPivL3hrV6dF7jUDX0de12RUisRYL/kd+mNx5kRc/IpdbPXJFY38S/Qj8moPJOZIFHSoEktUeoe4osWu8RtE7s2sLy0ZJSILePh7jXLRh0Pvb8XCtLEoofVVHpOCaV3SMJNtdHqPwVjcfzS+n70BwZNsn2rezIBeEmfnAlrnTK/cKW5NtA00NiPkpa12U57bC9oQiellb62ySpKSZSBT2lhhsrelcepOWlaYcy39p5qxvng5Ch8egQIqallcBvK7JCGnRzrWjp8N7/e80+mjD9GB2jx0x1fHhnVjupQsnLGm+C8NtLzg8Be7MX/IZBT3onXalSQWk4qCe/pjYdJonFzzDVDHOlW92P7NjyFEOrYXEpNEwXFSyVUDv0XUMtVmGxmqifXn001XN2BuvD9dxb7pazDvmdfM2GR1pxS8020IppubbSrezcrBkQ92InCJ/RAm7PeG2I20vpOpJagCcuRFDevJqHShnaINdSe1TLA1nbU1EpPSWi/E2G2PO779l/HhW9MxkXe6wq6aWpGFPL38/UA2vqh4DzhvK6quvwl0J+A3kBhxcudBrHytAhUPDUeZVrjtnIriewYYhdq38DPeANjNlgYKpm7445LYDaIaUE38mqgKrW5gC+p5PdSOTbQ66SEx7T6LzZPmo/qBYSjtmITpXTJokaWj4E8DUNIjE6tfrcKZr35EqCFAKy6MQEBL9oSMddcc8MHv9/GyMDJjYrdP/OFJTFBjUWPQ4KaeBZl5T870Cs2DatHq91rLQh1KG40taPjqCFY8V4QJMUkoprVR0T0bhd0zUf74KHytGdL19oVXICn6HYHrJGZ9H5OF0/wl/bOITikv/nAC63Pmo/ZvL6C4SzKqaAWUd0zEnCdewtdV7+HqgTNWhQsmnH4Yl7qTRmkY4Z2gOCrCb5FWIGe1zV8SNSuHxGQ9NfCaqEdhZvKwGo2Hy0GcW/c91r5UiTK2zYK7B6A6hm2V1lgeew1VfxuFTUVLcHnPCTMorEsa9LNrymtQ39yI+qYGXl5F1H7RJkjMueZqEFJPs7yMPdFV30fUaIMoTHtqPELwXDNOvrcNi9MmYjIbQ6kG9XsMRdn9wzErbSx2rfgCLRolNZ6ZguK7A5TSojCrY22em6mBm6dYelpmKZfQ8NMF7Kz9ELP7vobCzolmOZ7qzimY/dgorJsyB6d32uNihKYMmDoXgZl5Z6orHrcnEpO0gta8qY4lrCXdSkzvwepJsCvINusJsKWaNkcPZLjghWYcencL5ieNQQ7bapEs455DzDu+uT3SUdP/NXw371PgHLuVvAQtPnUhadV5PWj2e9l8pRVW2u0RbYbEdL0lN5AYlUpLUuvPssWsiyk0HjqPbyvex5wnX0NulxSUxmXyTjcE1X99Ee++VIYf1+4iidm+pd13IImZGruJxHQzEAJnG3Bo6RdYmDIWBZ0GGhKbHpOOmQ8/y25mKQ5t2v1zEhOBUQFdEvs5or2JwBzRrUSjtWqbekrpYR02B/zsSPCs6lfWLi9K/aHL2F65CtOeeR2T4lOQn5CB0t6DkZuQikk9UrDi+XycX7cHoav0rIi1jLWeUPJAn5nTS+n/IIt3LNoMiTmNQkpqCMceCwuRxLSmmL58pLueg3M7f8Knb9ai+v5naWmkoZgKWhifhenPvIGNBYtxbsdR633JSMR3RhNolcTs7qRITHqjkurLT+c/3YMVg3MMidV0SMas2ExMu28o5g6ZgN2rv7L6QYRZdkakpTr3U+vMDYTH7Y3EWpMotHZa1KKroRfi/OwL+tklD7LeTPXpjqI6prQ0tqBx9wWsnboAOQ8Pw7j4ZEztlopcit61LHt4KD5+uwYXdhy3iE8XknEEGElDwGPIUem1R7QJEhOcRmEsAM1CD/JKksS0VDINamOqRy4jvRzdsAeLsyajJD4TpZ0zUEzJoZk+N3kcfliwEd5jDdbsQfo1+i6FjCTSdmGRmLrV0pAbSUw9GLV/FVnLKTdsO4GPRpWjiF0YkdgcklhlD1qs/V7AlqXsvqh+CJfEfoPcuBuBuR4kLt1sJSI0x08wQOusOYiQR3VJB95Uf/z0O8wbWYSJDw7B2K5JtMTSzdI9OTEDUP3Ys9hWvgJ1B89GbjCBkB+NQR+8vM7murZDtCESs/7M4LK6NfoKt0iM1GV9F1LrPOk8PfP04Y92YCZN84JOWho4C6WUKZ2TMT9jIk6t3asZg2xF9C7N1iNvZ9Rb0oahOtLjjeskxrLZg2E3kBh/PPsv4+M3p6MoNiVCYsVxyZj0cBY+m7XSmlkpryY4lc/pTrok9nP5RcjqYqeP7bVFY4qm9nmVWHd+fwgeTwD6TJupYxLTtaOXsW3hRtQOmogJfTQmxm5lAq8LbzQltM4WJr6BH7SI5xkyHsNohRJ1U3lVTMztEf8WEtM1tC6N/WNL1K6RGw8sSOksk9smKUkrfq77ogKZp266bFJXayxMzcOMM+iDDfUtOLB0M2oeexF59ySiOi4blXGDkNM5BQuG5OD8jmNWhikhNSDNdnZagJN2GxVtNNlE3RdDPNIOexDZGROTH8F7ohEfT5yDgm7pqOqYgpkxmcjvOBCjeyThk4qlQJ3lU1XD4FQ0hpYVHD0mJi93qtht5FeltXA3i0jfkD/rjnWma6K3J3wStll1L73BMJqaue8N4/y+U/i4aKH5Pmpe70GoSMhCTVwGyjonorR7Kta8WIwLn+0Brlrzx0xWuI1O0tKZn//dgBsDXBcb1uH1P6e4vw3REd4sN6J119+OfwuJSTEidwKjKRS1c26cax2Z22VbBYIqRn16fa1IzxetCRI8qbu8/NtFs+hLF1ufC/MxCtoTUij61x1NSyi3GDLitimE+sOXsbXyfVQ88jzyOyShmlZYbddsVPcajtVvTMOVA9a7gcYyCZIEmS9ly6SmH5PhNih2GcxgL+tG7/dZ75lSfKxFFtjwjjwRngsefFq+DMV/fhbltMJqOmUg9+6BGB+fik9yFiJwnKYYL6yurV77Mp0h1rssC9O9vOECu/KLYgbx2bbV/nk9RGL60ref7rKM1TNs5LVp0DXifrDJj+Nf7ceKt6pR+MBglMQmYwZJTFIRl4rpfx6BdW/W4orGxxS/rqlUx76uepjg503eR+svwK25mfFPUzGCQR6LVE1Ctiiss7XjMCtz8BrrgYHak8Q5bS67dE5ty/iXg46ZGadxWT5vEmVWciNad/3t+JdJTFlzLoTqwXTPtDSvensstVNPZq12fcjWnq2sXOutfy8JqQkeNFP8jCUsC0t3LF14VojityYL8K5FAvOEmhmF7kD0I/PcxEu/9QzHTAS5PbxpL1a+WYOyB0egUN3JjmmYTmts+ROj8V35h2g+cZWxWkM+EuXddLOUmITRtUlh3pV9kY4mBnvUaB3rtJF1paWTHb+E95oXn7/zMSoHvIWS7kNQ3iED+XcnI69bNj59ew7qd55mOOsTLHoGoi57UAPT6h4ZEqOjE58rvyzSfrV5ifblRuhQNwf12lW/2spN0ErDP7z/FRZkjUOxVrjQHL6uWZhBKeR+9SMjsWuaVrvg1VEkjFdEpo8a+6hDzSEvmoLNvOT6Pr5FQRo/8/m8VC+mojyo0UvUYCJKQCH08rrmovmMkcGtwvOa64vwen0trBuidE/+RVxsZ3paqq/EGzIzhBYlxqMjll474rj+V/FvITFrDoxVF8ZAcr6/x0ox36+lk8pkLAI66KO2eucrxALryWIjPTfwEja3NPFOQfUzpjf9Wv/0oTVbWZktPormxWh8IUB/TECkqPQauGXavstefPPeF5g7ZAqK7x2Kki5pqOiQxrtYNtam5ePkoi0IntP8aeuFcjUch8jUvgx0so2KqlllUQmbWelB3VRM/bByPGrlPGkX1Nfgw5aVn6MmaxKKaKWWdshE8T36iMpQrBk1DefXH0T4qkYdLSUTMZquO7XFaoaEna4rvyC6IKrvaJEboXpV21PdRq/gqmDy03yyHvvmforZT7zIm8vTqOqUhNI/DUQRexfTHhyJD54tx/53tyNwVuzDqKlXDc1NaPQ2U0/Yuwn7aY17mY6flz1A9fNT56g3hmAYQG1BoowoYQqDmXPKoiwxhbSe/gfhoRXn02KPxsCgB3nS1uzzh2QWpoUZ1HLd5gEQIxezOmICWIEiwaLkv4p/C4k1s4D6Ere6LyavqlORGCtEvKV6MpnUOTq00CLTC6uqDCkFbSteRFpjLR4qHSnRzMRn3Awks1Z+1OUkhfFXM8LUpaGrKkrjWUpPrYFpec42Y8P0D1D2zMso6J6FCnaTqmiJzeg2GFupmI3rD6HlMsPSr25gzmJzunbKnsqjG0tbFZVB7bGZJfGIxHQBRGKNPCNLzG5XQqApgO/Wbse854tR0vtZ3u0Hsa6yURE/DCuzivHT8u3wn9dcc6uOtIKIroUeG/BKt/m6um3CCnSMEbNPNx2qzaleHUvMsnata2g8UHz7zmPTxNko7Z2Bif/5BKbc3ReVPYag9qFRKH3wOSwbVY4zmw4j3Kx5Y4yLBOYRiZjrY+wvozMOkTk3H+XBScMkyMyYb0/TajecY07pejMkT2ir9z69+qYADRDdHCMLCjhCiMQCHlp/zIPpipnIbIkkaLedKBfJfxX/MompoM2soAYW1EvmN0v06upQVAaZpUGKzFBTWVIiEk9QX4mh+SkztZGeG7ine4Z5VUZWmCqJEpC1RjePOe9lSroYQcZHocUW+VyWiIzBGn66hvcmz8LE+zLNB3Kr47JQ3TkNM3sPw3eTl6Nl7zV2Pa28KZvqaTlfoFf22rqYMlG8rHMf61d3Z0NizdzKAqYnlV0I0TI7+vUB/P/b+w7uKo5023/w3lpz711v3XvXHd8Z7DFZQuRkwOAwNmByEBJCJJuckxAZBAIBIudscBx7HMcGE4xtsA02OUcBJhgQKBylI7Hf3tVdUkscYWzLHh3mfLDVfbqrqru+r2r3V6Gr34tbhcVPDcQSktiq8JexrPYr2NJ+Mr5b8jEyLjpNb0WRR6xBA+efKoia+cWvH0LpsJVV0G9bbEVcegYL+q3ibwJJbufh6tYDeHvALEyu2xkz6kVjwdP9kFA3BuOqd8TcF/Ra0hu4pa8lyUFgXKeZ51zJsZjqjPvw1z8GElRfDNybUp+yBhbUVHSEMehY5BX4TBqKq249swKWMhBIGFVLcxfIETHXYISSYCB7aUFHhF8qZeKJydUUkanPqkBNQVUcKlQklMMcZ9Lrys3hceuWUckiO7XffXRxU9luv01lyaNTR72aiAXZfG4QudSa1Cf6siSmp4I6+dVBqTa40YBbe2/vT8GmoXMQF9HRrFixNCIGS9ikXPvMIBxdthW4Qu2ztIgrFc0UMF7S7iuZYIcqgpZtyeNTscCQGA+IyFTI+dPPDMtu91hotSjk57PfxPKmg7CUzcn1NftjdZ3+WPfsKOyY+ipS3UEQhddXk9SvIt2rOui5Huj6IRSHsYe7r+JvqoAH9pjOm2N84BeQJUz/MiP6r2TgyOs7sO7lKUh8/hVMbdwDE2p2QXyNzpjeIAarouKxf8OnyLrMB45JkPEz1aJRio4/JWtpTmWegewnP41B+SdP4XlN84BTGVGFMIRD4vOnE2mslypETrn5STFpKQ3uGyJz4RwwKP7LwS+VMiExjSsaesnPdpt4qinUJ5Uj9zMzKwe5Wu9IJCYlS3vclXozqdTbjHebBJjJSHLYFE4LveUSOfTacvlUkUNr/bBcGUJhedyQnuLIAKl+XPrke6yOnYjx1duZuTVLwuWNdceWDmNx8vU9AB0x3ZuBK2a0iEaT1+gtdMGIworCvMi1V/+jcc3kbkpH3IjgZAb9yf0hEwdW/AMrnx6MxRWjsCmiH9bV7o+VDQfgg2FLcOOQu0Aixa9VE/xs8rNwWxILdA8hFIfUb0xAWPu4VcAB/wiyjfnNcq1pP+YBJEMxcsaFm/j+tW1YHDseI+t2xPjanTGnUU8k1e+BWU/FYsugRJz6+Gv4b7BxyvAF6SSxbF7NuN2ODy0Sk6Ohlo3e59S9ZJHFfHQ0tMCixHGUdDM8m+9jS+cuyVALh+ruVa6AnV98i42b38CrW14n3sD6Da9i0+Y3sf+7g8jMVAcNRcnZtCyc3BkU/+Xgl0oZkJiUQYIhU6uAF4j9xcLMrdhYo1iGbOTeSp/KmJs5/VPrPYNh0rmvjmOjS4a7RyLLy6EHpjWUWBmzjeLVqndGXwS7/K8RxtOo48GNn2J5p9GYFtYRC2s4ozpL68fivZcTcfGTg04HhCLJGronpUEPQ0PPGnWTYb0FMJige1cFkZpNmZEd9OAQWFjNx16Nnp2hfSPp93BmyxdY/ewwJD/eGRvC+mJDxCsk/t54q3ciru4774RjEvl658/vDKyokRIisYdDSRIz9iHMHxV42cnCMJmzLaDNNBXDlFeeu3PiKt6ZuQrxz8ZiQr2uSG7UC0sb9MbsWt2Q9NwreH/KClz98hiQyqto9US9CaAWkDrYeVX9UzvGGW10HPR0NvvSctUVpMaibonxdId0LJCbzhsmgRVo2IGxmM7BoyfQKboP/vTnJ/H4E1Xw+F+q4vHHH0elKhEYMGgEdn+xh3VWqTMtZdRJ1EEAsadKOf1QUkYkRg+JzcF8srxZ20hNPNN8lNk8zx0ZRk1FucpsCorg5BWIu83oDIOo+Wg/c6VpGWb9JB5zvvWniiPPjFcUiTHNwgLBnRsHL+Cz2RuwpPVgJNGwSyOikFy1I1Y8/TJ2TVqDH78+4/TkM8I9NbXU9OX9aja1vAyRmO5WBS0YYQlM2jaiHR2k/lgCST75hsCcFXJd4fmLH36Pda1GYV6FDlhbhU3K8L5YVK07NkdOwQ+7TznpEBpwka5kBdlCz/dA9xFCcVgy076tDabQakfEJftolN1MP1LZNyWazTy/MxponkgMeicXJ7fux8bhiZjyVDRmRXTF8jo9sIDlfFqtrpjfYSi2Jm3E9YPu+5W6mI9/cvhD02L4T9bT6shmCg6RRmK6489xRrL5Wz2d5k7phSGXBOZX0yUTvtSr2LxxA7pG90KtRs/hpY7RGDFmAsaPZ6tnfByGjhyD5154CUOGjcG5cymMQ9FtWzxAHiLIA6VMSEz87r74QxJj+zs7G/kZGdzK7ZE2HyzStUKm03g+el7qXLREJvdWDyMZknTDsDyvTn2Sj0hMcY0CqPezOw/g9WGzseCZvlhcNwbLakZjXrUOWNdmGA6t+gC+UzecJ5SSpvHySVzOdxk1IKE5ajK0U7aCGabMC4UH5YVpiooGUQqQxpMiMhVXyeVdx7ElchKSn+yMlZWisDasF5IrRWJ923G49BG9V+nMTVgDL44VVCUcTziE0iEde6FjMk2hfVTORV5qOgqu1yyb5bF1oM/CaX6WcdBYN/KuZeDQmzuwqtsYJNbsjEXVu2CJVuWtGYlJjaIwv+tIfLt5K3CTNUOsqQEdfZFcg2C0v3rHNHNMqyRrBFvr9d+lTfXxETMXzDgifMTls0b69cWldORl/4gje7ajc9s2+K/HnkT/EZPw3fFzJnkrd9iMnJIwB0NGxOH4iXNOHq0U+3G/6PRPBHmg/GoS0+XF72oYanFCf64POelp9ETvID9HH2F1xlxEbvrIqPtQMZJHAskimcgrkIOklaKz2ITM8ZGgaDA7mY72NPHM7Hx5TjSG9rXWvjw5I9Toofe+wNLI0UhqEI1lJLGlNaOQxGbllpgJuPjRNyi4qacLE6NodNNviMt9Rt5T40jFTBdyNsEK9fGZmfr6bQ5JT3lstueBVsFt/tbWemPXvz2L9/olmcX4llWOwuqwWMyt2BmrXhiOs6/tZoWgjvS0oEhHzuNDenSvEUKpcMptEQrPSX0qbpbENGHbTBIXeCJPXq/6sZwmu4KZeDx159gV7J37Ota9OBgLqnbC0uqRWFgnBpPrdsPEpjF4L34Z7u49R7uxXKti0SkwXwZj/ctn3dG7xlreWmv1WzhTckSaPjrtJLCCDF5P7aMsXL9wGBsXJqLt88+jQ9dYvL99L8sTT3lExePE2cv4/vBp3LrDNHhJk9/fQcqExAwJGBJjkyzPh7ysDPhz+Mz3Z8B35zIO7tuFdauXYXx8PEaOHInhw4dj2LChGDxkMKbPmYOPv9yLKxmaLUZlkLjkieVL8bKcki8EPQHTUcldVtI8GlrTCKzse2M7Zj7bBzOqd8Cy2t2xuEYkEsM74s3+CbipRf5YQEz/HMOqIjp9O+qVc4lMJUua5yaYob4UNdtNRinymjR6nMr83uKvH/n7JnMur0xBbh1OwWfjVmBV41dYIbpjVURPzKnUGUufGYgjKz9G/gU+jNS/Yv57SOwR0NXvAhVR728pvfAcf8jzKkZiRJ66OfzGC8uhnt3SaeLeS89D6p5z2DV6GVbX64klJLHFdWIxu0FPTKrP1kergdiZsAG+Az84HV+mA4w3kSsnwpksoQ+X3DXQev3iOnrn9MJ8rLN+9YHdszPXfDi8630M6vIS2j73HBYsXYMLPzpfCPPxXvQpBr0so+JhRdnNVT0mfg8iKxsS4xPezJQzHpfcUZICK4w0eOP8QaxKnoZmjWrjD//x7/jjY4/hySefNKhQoQKqhNdE175D8PZnXyI1h86uMk1aV5KG3qUcHTPgH5EQlZNPI2vaRq6mWcjIvlzsXv0epjWOxvTKbbEkIgoLwrtidu1I/H3sAqSdpkEpvDtndIZQN75eddK4Z4HuV21XXUfXDGIYElPFUF4oakKwUUACyyOB5eM6f2ubTiiIlnbZk7gFG18ciaW1erIZHotZlTtjQfN+2Dv/LWQevaoeYCZMvbMSiBTVjfAo6Oo3h2q0yrFgyUx6k/oEFXhDZIRtVmqfx9XqyFFLheVSXGSe6W69uHfDj4tv7sU/YhLY6ojFvIhozG/UFwkksrE1OmJ+60E4tPpjZF8kEakxpCk2albSRZLVNYX5DhMSNKim35lsRmb603kdeWAiMG4LUrH7tWVoVbsK2v/1r3j3w624kZnFksQQvNV05km9DcZbJGx28+RkMF+mPv/G8utJTJbQ+0UazTBZE9tza+aV5NAVPYBFM8eiSYMaaND0KUxLTMQ777xjsHHjekR1j8WfK9ZC9/7j8M3R89QzNaOMUxtKhq0+x/AWIrDsPJIWW/B6WvH6/mw/rhy7gPemr8bMxjGYU60TFodHIjkiEkueeRnb525C5lV1UGrwgMbLy0KGX1Nr3dEa3msODWhWaZB4rxeEEMmrckiNOiTiTueevLDrxDXu3yScl69YGM/fxMHlH+KtyClYXL8P5oZHYVrljpjX/BV8MnUtrn1zxrxYr+C2L9LEtBcIoXQU1mpnq+ekPeweYpGWx0JlWkLTlr9VtjWgJYKRp6QmnPENFEk9I6fScHLJP7C+1UgkRnRDUr1emE1MqdkN0xpGY11MPA6+tRsFt3g1Edld1knWL+edZds/qgecygI9snzWi7y79MTUDSQSkwd+FVtXzcFfw55A7y5d8fX+w7jDB6RqtzwxDcZZEjOtVl5K+VL+lBX+/82lbEhM0yrymC2SmdxVdf46k+P45L9yGCvnTUCbF5uiz8D+OHD2rBPPlc1b3sTjlesjvFFbrHtrG27ckbZdkbWNlT3g40gkJpjzlOy0LBz6dC82DUnE3MaxmE8CWyTU74Et3eJxYNMn8P0ov4Om4f3e9efQYHqJyRntzJE/RhJTP5mp/AwYrHB05GzVl6intyxRRGJ+kpif++rgpagAXk4zfV/v9k7E/Aa92QSPwvSwrpjz9Mt4ffh8nNz2HQr02hLT08vDrh8W9Lr6PWBsoVqtWq4iy2Pqu9cwmIhJ0GihmngiF60Ooknc0rP6fBVdo4iWxPQqn6laMh55Jn1vCnaNX4OlLQZhpj5JWLMH5tTtaVaFndowCn8bvQA39p6F/xZvIJOp8eKaaJ7HtJWMBtTMe7a8vo+tqaz8DN6HmpMksLybwJ0L+HDJDDxPEhvcszeOnbqoNQFMXN2CoLEDH/OlV3OtI6nVYXLUryd++I2lbJqTdHnZtjNwRvjELo7lfrz0PVbNHYeXXngKPfq/jD3HT5hYVt7/aCtqP/USwp/qhIXr3sOVm3JlmaqeRFS2WT5GWpE1tZWnJmhfl6FkkqC+3PIPrOaTZ36DHkgOi8T86l2w+Kk++HT4Ilz+9ACyf8w05UhKl2di3tDnveaxpGmsTY3LfE370PVUUIIURu0uCgiN7KpPRR25qcRNnhD4vDV6kGeAGzm48fEhvNN3NmbUikJire7mvdNZTfpgeexE7Ht7J/Lv0ABMSx+ooHH0P+h19XvA2MJOyuJWVUUeizrTNUqsPqk0KlZ9VBo91jSYPAbKzc2l7eT12uhsnqkaMD0NHpr0WKALfsjC1Q8O4KOBC1j2X0FSRCzmkMimsxUytW4kVnQYji/nvYY7hy47hV+VgGwob123Zskok45HFt08vRcjSkMBWy5Z14Db5/DeomloWvGPeDkqGkeOnzUemO7JjBloy5vMYGJsEBnvS/ecRSfDl6W5ZW4l/Q2lDDwxQo98FW7NaeHTmXsUqSgTN05/hRWzhqNNS3piwwbjW68nRsWtXLEOj1dqiHrP9MDrH3+LW5nSMmPTiBnpGcjW6xPGxeZBjdqoXa+tNCVQ7ly8jQ/nbcKCVoOwkJVvUXg0ZlZsj3kNe+LrhNeQfegG8lPZBGUaujcl5deTIkcDEZpiQbK0sOkGK5RBqZ4wFYnHpD6NH+tpK39UhKanv4Kb8Hfple29hHcGzENctQ4ksmh6tH0xo3FPzG47BDvXfAC/JlAyHU1CNgrUvve6IQSG9KsirVov0uEx7coDUqPtDhWZSojQ5G3pwWLW8NIDVeWRYZSELbeqaqb71iUx2Tk/JRNHVmzD6x2mYkXjwZgbQRLjQ3xG7UgkNOyGtVFjcOb1HcAVum53eQNiLSaoB5FuUe/ZprElle43Lw+aO0HBXZ64zptMwftLEtCgwn+iU8uW+OLLb5GmGf6MJzJTU1LdbRo3yGLZyOGDTa1hLQGlOmb6/Pj/QaLTPxHkgVI2zUlNbPURpr1N3fJYHtvX1BiJfA82zBuL1s81ROPnWmDMlClYs24d1qxdg6TZM9G6dQdUrNYUIycvwbnrWgtDGWJ8enUiMV8an1EaVRGjiyh9LAIaLjZMRHB7m0+Z10bOw6xGMVhCV1rvS06r0Aaz6sXgwLKPgeuKx6Dc6HalMb3W4SchFigt8/iw4PlghnRCU3grjo6bAktoCW8/YaZgKLzC0FT5J9Lw/qjlGFu1PabU6IbEhr0xpV40pjTvhU8WvgW/5h0xivUAzHXsNUMoHdKTxxZFDxVTJNV1bshMW9UYmU7RjEjfDHyP9eqeHagRGLnAdEYpEIXb2/suY//097DlhfFIDu+BebWI+iSz2l2Q2KQ7/j54Fn748FunLujiiqv2KcuBmpbpIrG8TN6m64npjvypDPMjtm9eiuciKqJFgwZ4dfMbSPWpEDAJ3QJvS/es6lhMeM4QmE5w8yDR6Z8I8kD59SSmR0M6NXKXoFJ039l8ivj0ygJJLP3q9/jbyql4sVkt/J//+AP++3/+BxUqVkSFxyvgT//7GP5UoTKavhCDtX/7DHdJKE7dotFobY3O5Onl8cwsQ2RkRtyji3pP+xJZmw+XG58dxfoeEzGjRmcsr90TK+hSJ1bshEXPDMSxN/Y4Fc8WKLu1FV37FjonSPHBCuVD+VKlsSSmYzpnS4ugfBYWZiKlADtmvI6Eej0wtUYUn+I9MDGiKyY26I5/zNqC/CtMROnYNoTiBLuufg9IZ7asWYaS/ik67T2l3/eJ4msCpdweBVBcRZArJ/vqt8LQcbq99TK29V+JNfTGVjQegKWN+pLIYjCzDr2yhl3xftwi3D1M70o2V/XU8GJOgalz+gqTVqHRsjtObykrlukbS8fRLz7EkO7t0SiiBoYOG4Ujp87wfNHtWMnKyTXvTuaxRaYP/AqmFaVA3oAesadKOf1QUgYkxsuriZdGcsmkm6mRC7rDehlcmr5zZR+2LByH1s/URXiDuojp1x9Tp0/H1KlTMX36DHSPfQVV672Ejn0n4L3Pvsb1WxovUZacGqKXmJ2lPagQdSpTUXplyAiNd++KDxc378LatiORWKUjVtaIxYqwHlhVry8+7DsfP+5019O3IoPL+Co1Vnu2Mj5KYvP2INF56UN5/wE4smw71rYegzl1emEGvdnJ4ZGYTlLbPmkTcEIPKYbzVMKQ/E6iqqQy+1NyA7j1/kVs77cKyxv0w+LasVhI+80M74j4Kq2woFV/fLnwbaSevOakqQFIERltKpOqL1svifvzNeGV/qGZapGJtKsn8NaaBWhUMxwVKjyJhNnJuHr9Fs8ViWhg06YtmDUzEd9+8y2yMrKcPm0lrD/OTiGK/3LwS6Vs+sTMk4E3nJGHPLq++kmfjH99uHlmN9YkDED7lo0QM2wwdpTo2N+1+xs8334g/r1CC3TtOwnfHrF9ZqpdZBr1PLtK0NditE6RWSNcwtNZR67gYNKbWPfcYCyo3Bmrq8eaGefrnxqEj/rMx6FVu5Cy8zRS9pzBpa/O4tIubrefxKXPT+Gyfn9xBim7T5vtxb2nceHrU0GNi8Ke07j4lQvt73WP7z1pkLKH+f+K+OIkLn9+Ej/sPoNrH5zAvul/w+a2E5Bc72XMqdkLibViMZvN8/f7zMWljXtweRuvsfM4zu8+hgtfnXDSdK8bwgOgcuXBxa+Jb4h9PLef+M7B+e9OOthHfENbfXMKl2i7S7tos50nkPLlKaTIlox74dvTOMf4Z/efxvlvWYZZlq/sPIdr757HrqGbsKhWbywIj8biOmxWRkRibp1umNuoO1Z3GYXvNnwKX8pdchTrldqE9kFG0eionw6IluCBmWpB5Kci5eR3mDBmJKpXq4E69Zpi4pQEfLLtM3zyyaf48MMPsXbdRnTs2AVR3aKxY/tOZPnkzbkSFCTmOF3cqi9MnZM6LKLJwM1TO7BuxgB0aNkYMcOH4LOTp3i8SG7fzcar73yNsAbRCKvXDv/4/Bv3jEti5jGhi0jLfFaw+apOT5NpXuj650exc/giktYrWFG5G9ZX74n1NfpgWe2+mN+4H+a3HInFXeKxNGoSVnSfgpXRk7EiaiJWx0zGmtgpWBE9AcuixmNFzAQs7T4eC6PHBTUWRcdhMfOzuFu8wSLuL4wei0Xdx2Jx9GjqYRSWdxuJVZGjTIFe02k0Xo2cgDejpuPVNuOxlM2QeawAC+vySc6n+dyaPbG0yUBsbh+PtR3jsKjNMMxvOwQLOlOvvJauF+g+QrCIw4Lo8UQ892WPeCyhXZbSLkt5fjHtsihmLBYQ83uMwfxYovtoJEeNxBKeWxUzHqu7xWFVl7FYQSyPHMd4cUiOiUNi7DjM7BWPpN6TmO5krOo0BZvaz8DaFmOwuFYfLInQB3LYMqnXE6ubvIwlT/VCcvNeeKPfDBx7+3PkXPU5nrW8DlU3l0mcKVIkIc3av6fZ+WnIz7uLK5cvYfXKNageXhv/9d//gzp1GyGiRh1UqlgRlStVRXRUd/ztrXdw88ebpp46DkgA8EK6lIWOCL9UypTE7lEnGVn5uMPmX66ZlZeB2+d2Y/OcYejcugm6DuyPDw8cNCSXr8AFGlgG9p9IR9OWQ/FYlWfwxofbTBbvUbP5eo9La+5LqcymIPrS+mJGAdTz6b99gXe7TsSG2r2woUoMNlXpiY3hfbG89itI5LHx1SMxqlJHjKvUCROqdMbk6l0xlc2kaTUiue2CiVXbY0LVdpgc1gETq3dAfLX2QQ7loSPGV+uMuOqdzOqfY8PaIS6sLeKrt8akaq0wtWpLzGDzYmalVphV8SXMrtgOs+nFzq0ejXnhsUiu0RvL6vbHyvoDsSi8F+ZXi8E8nptVuSOmPtkGkyoSVdpiAq8nBL6PEITxtEccbTCOthhfrRPLWydMrdwJ0yt1wIxK7TGtcjtMoS4nVmvLsvoS7URUewnjq8pWbZAQ3gGzwzphdpUOSHiyLab9pQ0mVmqDMVXbYghtOrBmRwyt3RWjWM7HP9kV0ypGITmiL1bU749lNXtjUdVuWEqPbEPjl0lkfZFUrxuSno7Fx/HLkfb9ZafuCqyumspkvmJkaqUcCNZRzRdTh5vbnr198zaWLV2BAf0HoH//IRjQTxiAEcNG4O/vvMvznmamIS05IRb3k5glMOGXStmQmFxSuqYFGfdwNz0PN7Ocpap5Aqkpe7ElaQQ6tWqCqMEDsfPESRPNShaDbX73G1RrHIMqDTvg3a2fM0MiKU1/yEBebgZJTC9ni8DohXFPv4ywPX9g7cdY9+wgrAkTgfXAhsoxWFe9D1bWG4CFbFLOavQKZtTthVn0KGaHx2BujVgsqNsbybV7IimiO5JqRtPb6E5EYX6t7jweE9SYx+ZDEpuAs5nnRD6BZ9WPJTTvi/nU5/DrdMUiFvoltbqykEdieUQUFod3w/yqkZhXjRUgvCcW1ZQn2w/La/VjBehD9MZyVohlfCgsr8f9+n2wmNdIrhWDBbxmIAS6t39F6Av0SXVizQTUuXWk255YzjK4KqyHKbOrw7pjJUlmWUQ0m4BR1B1RJwoLBS0nxWNrasdiPeOtZvldRhstDGPTkGU2oW53TGnYA5Mb98JU2mQGWx9zar2MhfVIYPUH0F76glU3JPMBtZzlfDnLQlLdbphStzNWRo3DofWfIues5oOxLtET0/LU+Xnq6HdITIv1OJ37JDFDZqrTjmT5cnAnNQ2+DGcKlEYi83Jykae1xNTdI7LSfBIviRmqEsobialHT58Du0sfic1JvTaUqTkiriJuXvgGa2YOR6tn66PLK32w4/ARJ54rp86koP+IRPypeku0ixmJfUdOulnUe5jZdEupFENizusuSlWer5HUHHy16E3Ma9SDxuqClfQWllWNwrIaPVl4emJa3R6Y1rgPkpr1RzKblknq4yFxJdfrxQLVA4k1WXlp2OT6JDSS2DwaOlCFDCbMd0nMITAPidUnidVzSGwhSWwxsbRWJJZQB0v0sjx1Nb8mSZ5YUEfNyb5IJnEls8ItiuiFpbV7YwmJcQl1t0gfYGHlXEASW8hrBkKge/tXxHzqaS5JTDaZ55LYCup0NUlsLUlsLUlsTVg0j0XTFlGGyBbVIaGRoBZERGJBWBesIMGtqxmLtWwerqih1Vl60AYssw17YkajWExr1AsJTdjyeKo/bd0XCSz7c0h8ixr0xtKGtCUJcY68udpdkNQkBpMbdsWEZrxmv8k4+sFe1l3WN7KImVeoCcxq6WhJrQK2gthaUrPyXj7JzAzWPVj8uay3IjF1+ej1AhFZMaoSikhMsEd/qZSBJ8bb0PsGmrZLBeiWBUcKcPXMfiRPGY6a4U/iscoV0aVnL0yePNnFFPTu2x+Nm7dFl9gRePO9bbh9VyMiSlZL92RRFyIx0ZeeEPrrZFhTLm6dSsHb05ZgVN22GPp4C8RXboUpYe0xKbwjRtElH1S1FYbWZFOqfiQm1O2KcTw3pird9fB2GBPWhi54a8Tx/Pia7TFWrjzjTKBbP7Fau6BFfPX2Tj7D22O0AfMa3oZNytZsrrTCBD4sJlZ7EVMINSunVGmJqdXbYFoEm9Nsdo5nE2aimtZEPJvZ49VsZJN7EptEE5hufHUnTDybM5OIyTxfEjpuoWbSRG0fBgxbGM+AeRIC5DNYEE/E0SZx1TtQ/x3YDO/AJmR7zGATPoGYabbUf+U2tAWb6VWJ6tQBMaFya8Q/SftUegkJVRiOcafTFlPZRJ1SoyPGR3TE6Ij2GEnbja7dGWP5gBrF/WEsx6OqMS7L9dR6bMLWaosRVZ7H8LDnMaY+m6H1WiMmrAV6NmiF5XGzcXbvEfhu09NSC9JwDEkm30+vjF4W66D6bcwaY3otT+fouJhuao+YpbHyFMeZPE4GNGnwB8+WRHkjMYnuwCVcP29eb7CbzDIDN1LOYNOqpXip9Yv4Y4U/409//jMef+IJs6RthQqPo2q1MET36ItPtn1uVrI0s5SlECosO9uH3Bz1iblZlNen63CTl5mD8weO4+0FazA9ehDiWvbAjA79kBw9EkldhyKh40BM7zQI0zsPQkKXwZjJ7ayOwkAk8PgM/p7ReaBBAjGz00Ak8vycDoMxp/2QoMVsIrHDEOZTGGygfCV2GMhzAxhmAJLa98c8Yn47B9qfZ44PdDGIkB4GMQ51wv3Z1EuiBzo2t91gzGt7P3TcIulnwhtvTjvmSSiRx2CC7DG7/dBCzGk3FHPbDjWDIxZGZ4TRAfVqIR3rWJFuGZb6mEskKV3ZmZhJWyd0IjoPNmU7gWV5ZqcBmNV5ABKJmZ37s5z3w7Su/TC1W39MjhqA0Z16YWiHWMwdPRm7//4JUi9eA/TpL83rUj3TlKZcsppZ/VgumlvxHloUtjQUl8BHH17KhMQsK4t89M6XLyuLBJRNT4pE5MvEhfPnsGPHDmzesgUbN2zA+vXrDdauXYstW17DV3v2Ij1Dk1aAbDeuITI9Dfxya6lQkaLa3rkkOT+9stx8pF1Pxfnvj+HQ1i/x/adf4ciufTi5+wCOb9+Ho1u/wbHt3+Hoju9wZPt+HCWOGegYf+/kljiyU/vO72MMe5znj2/7Pqhx7DPmhfnw4vhn+x1sc3DCYF8hjrtw9t1wTEf6KJmW0j++7Tuc2Ep8GgA67uK4wLAPhfviBc5fsOFYgGMnPAioC+EzniOKhynaP2ZBexylXVTGj7LsH2P5Fo7uYD3Y/q2zZd048vk+HBa+2I8DO7/G/q2f48iX+3DlTAqy77DZaNYzo/fkTiw365zpTRmRmq3k5VDKhMTMJ+1dySNzZ/l8yMzMNIT2c0Skl56ejiwSWaEYMiOJSZGEvgBj3t+TTgV1kMkN9ooGUoTyq/dHQ6Rfmb4krG0sHlZ+abyQ/HqRvvNoPL2GJw9M5OXawfTR0zMz0ybKoZQNiblNQInjQTkvV4vQfo4oHRGf4hVLz/XEjELl1bpN14AVR5fUsjGaiSwOtSTnhY5Z2PS8KJl2sMHqwotA4R4G3jSs2PSkK68uvSip01+DkvcUQnFIR9J5aeU8kC5L2tPYlH9EXpppz323Cpp6qTopJ6M8SpmRmCDysmKPecUSnI57972i41KWlGYITfsMp742rZBhFFuodBe6rAhLkAemBfwEOwfGwnpoFgofyOjBDOniYREovhAorNW11begsI+a/oIR0r0t+yXLt0VJG6k1Y9b2oUHVD6b6JGEFU51Uvcv1k7joQJh1zWy9dYOVJymbjn2KyTiJxzT9DNM4hKTfIiXvcYn2FccohvuWuGwceXLWmxOBGSiO4hLOF4sJW6m0RlI20zLLSzLETxnVGpYGvScwDeM2PwJQPgo91vtA3Vj4S4E3jI1n03XTtvuaHGlhnt4uZJ9fj+L5CiEwjD1kN5GSVqawsERlyMqBqTPGrvrNyKxrTp+X+W+gxRlzSGDZeblm3T37fVd7vrxJmZGYl4gsMWkrIvL5fKazXr9t2JJkpz60tLQ0k4aNW5iOwhOFDxEez80jOWp5ahlDyfBEQZYfBZm5JDIaRkYUmZVECeOaWcpEPtPRV5A1suotB8EGdWuYcmnJ2UURSTGAXqAX1HkbCPa8CevEUxqa8iNo5LxIXxqNdlD4sPEc+zXIlS2C3B6/B2QHvWzNncD2JLRogvnWqgszDYJ1SjD1kcQlJ4GhXUeNtnWh3zrOGI8miVnCsR6X4CUr/bYelT1uw+u8FXXmZ2RkmONeMWnwmL5qlMN42axFPj4lsnLzaBuRnBtQNmENvmcW+eYPU3EDwFrDhfEmCHGheE2FoqQDF0xQHkyfrMD8FpGYC2XU7fcolcgMeSmMwiqOm462RHF9iWQceAv+r4WTZvDb4/eAnjNmGWiSmTFOANhFP41jQKiJqBVkc1gv9W1LQa/zeYuKoMZKjjwz1jst1sgrlDspExKz5FXSu/KSlFcsiQlGqZ40bDwLnVfbPEuge5HlkliOwisM07PhzNIfhL70U+gyG8MSnjTtP5mEd2yg15ks9H5AsEJZFoEZknYJqAjSSYnfIrJi0DGeE0yYAFC9cIPZ63r1J1i9mqbIQ8L5QLIDJ53i1wghMKQva3Ka5T7Yc4JrPuPpqrmYSQcjM1efatN3JkhsPKcHiCEubRlaHxVR3VMcpVfepEw79kUQEksqJb0tSSGREPLOzFriJQhQcXXMpilXV199kWLtE9/2jxk3mE+UXLXfNRCgl89z9BFfmtf1OAyxufdo7ktxGJu+IfSBBkH7fh7XEyqYYaaiWLKxLGDA49bDcpuITvODJy2BGX154vNnIbzpcd/p9+I1pTMXXh3bJ7/AAw8FbxxvWoHyGUIRjI5UpkuDyrYHheWe8QrBcI4HXICs/DxkktR83KrlY+qHqYd69Jc/KbM+MSsincLC5xKThY5pa0VEJeKxHpkVG9ceM09pqq/oKe/WMyneEBiblvTOjDfHSql18/W1GKcC8dqqcErDhQhQTzCtO68VxQXtG6/BDR+sUH4LFST1FcI95yUz6tjg54hLYkav1JdZgVfgQb1ZoY8bmw8cW9hrPCwK43pJrXgeQ7gftnzb5ngxsGyXhPPgdrxdattA+yKxbNYp82V+el+G3BSO238ZEhPxlCQriSUm73FLbF5xKkbxMOZpo61VJrcGLOwaCrbN0AeJztr67DWad+TZJOENGIxw86C82OwUA/8U6diJlJeXg9TUW7h8OQVnzpzC8WPHcPToURw9chTHiJPHT+La1WvkFsWxogJd4uIiH9qnGGRfC9czNvAe96IwLq/Fyumg+GVCKAGqSJbRrspxINgyX1T2SWbUs1Ofih+3+zZ5x1nQVAvVuvInv4knFohQSjv+MGLj6a+qjrN1jhvCVEF3gjxQbDxjGBdeI5vrCIWVJwihjZsn70ySIuhJrKcrHwyu0lKuXcbazevRu38fNH++BRo2aoj6Deqjfn0HTZ9uhtHjxuHE6dMmvERvaehr4PLEzBVVwNn8MCsYGBJyjjnNVIG/S0NJIiuEJ18hlA5P/ZA1AoHaLITCaStKUhmwxyyKCQ+Yekb80vr7W0uZk9jvLl7tB0IJsYe9RrV4VEhMhVajVnp5635olSh9CkL9I44cOnMcQ+JH4L//8kf83//3BzRs0hgtW7VEq1at8ELLlqhSIwxPVK2MPv364f0P3seVq1dNJ69ITGSlaqCvp+f7tQwLU7UkJgLTKyyF/W2l4D7yIgwJlshbCIHhkov+yvYW1GAhdM4Lr5T8fV/g+wKULwkeEgukWC8eZDEhgBQPwr+WxGwlDEYwHyrAD0Ni8swkh88ex+hpcahaPxztunXCrr1f4vr167h27Rouc/vqm6/j2ZYv4A//9m9o2qwZ3nznHaSma5E8R5zOYr1VwT3jmTl6NB920QCLSCxQ5bMo1LsHJo0A+QshAKQvbgj+KoSrRYMHijeg4E3Em1g5lSAiMWpRCFQJSoONUxpKWM8618H9z+msFUF5X06wcAYyCgxEN5LDp48ibtp4NHm+GUbFj8HNO7fdM47czUjHO+/9Hc+2eAaVK1XB6LHjcPDYMXNO5VvEqK8VavRYzVWlq74WTY3RoIv6Qnm4VNhdW18Uv6ipE/wW+a3/qeR61FmIYhIogIVVfEk4hihy62z4ciYhEvNA1UXjbHYoOjhR1DEbGDrv5FO5lhw9eQTxk+PQ4q/NMWbcKFxMOW+Om9fApEdKfnYuXt/wKlo++wKeeeZZvPrWG4YQRYxaREnfidEXrPWKqiFLkpjmFmmkq3A+XwB460px8nVG0ZSfwPkMwUI2tfosVbxKLwkvcXnhLTj6bcOXMwk+Eit0ocsYtJKqtSqOKlCwQpW+sJzZQmcO2B3l1ZZMR06eOobJk+PRvHkTDB82GBfOOx9HNVNU7IhkVh5O7j+EgT364on/rYCJCdNx059tyMv5Ho7zPVb9VrPVeefemb4iYhJBeeuEhZe41AQu/r5+0fSXEEqHbC6rupYqEmvy0uAU+/sRyFA6buOVMwmRmAWtZEnMvs4RjBApSE3FCyMPFHaa80Dhu0iOnD55FAmT4vHC000xZugQXDznkBj00Qe9xqU0culV3c3EkqmzUemxChg8YgTO3rmJW7xQKk+XJDKHhKxX5RCVl8i0L5QkMG//XRGZhfAgSIfSqUxeTFQOHgSn2N8Pa6RA5xSvnEmIxCxonWAnMZGByp4hMS9TaIJr4WggT7CZZ+DK6WOHkTAhDm2eaY6JI0cgxU6lyPCxjchUcxlPk2O5fWPRKjSsXhNDho/A4SspuMYLqAdNBFaSxCxx6f1HvWcpLZeEbrN0TyyEh0GpJGZF5eFBKGmUB0Hhy5kED4n9Io2XglJITKnbShWMEGGYMmbVpMwY8EBAT8yExsmjBzElbgxaP/s0Jo0agYtup71Zpjib8DH1jBzk/3gX62Yno3F4bYwYNQZHLl/CDaYjL0z9YiIwfVTaR4iUdAVd3k4Vc9VsYJ9J9jYVVnlQPAtv3kIoHdKfVe3PEtcWpUKJWuh3OZWgIzE7XvWwsFbw7t9HYAaOlYzt+CcYYbLgwpAEs+VwF3PPHw6Khi6cwMCx44cwYcJYPPdcM4wZOQRn6JlJzOtDZq4Xw2ZkI/PSNSRNmIqwv1TGqLFxuHg7FXeZpu0HE3n5eD05buJNew+FnCmoxnmh825Ykw/nUHHYcyEEBP+7lizafxgU7ZQiXiOUYwkaEhN9ORRW/J8dabMo+c+SWTESszA1zILWtEZ1Twcl3EKpXcsb6vi1s/RzqaVcHhEc3xM4fOoI4qbG4em/NsOw0YNx8vRxc7zAfHtQKVDYFL106gxGDhyKSk9UxLSEWUgjucljMk0/JmWWcSNEnIU3EMh18MJLbPb+S8KmF0JgSEeulFTdg/CT8rMC//MkKEhMOixOR0VwpgwUIVAYwfuvuHVcGFeAu8EONxviBm/TrGh+WD7hN5C+JAdPHcbYaXFo1vJpjIgfiTMpZ81xpaQJrBK9VP/JRx+ja6cuaNb0aWza/JrjbfGcWfOLF9U3JtRsNDegrWE4ntQ2EIEJXhKzcUP4+XBMaTa/BMEsQU9iDwvvv/tNSDxiJCY+KM4X1hvLJ/wG0ovk0ImDGDt5DFq0ao746fG4lXbLHLeilUa2bv0MkV26oVmT5kiYkcgm6An3LHmIyZh1KHnRQi9MMEzKk5aotC2JEHGVDRxTms0vQTBLEDUnfx0eSgJFDELY3fvLughd/9TwFrXpKHCMJDZuwkg0aFIHPXp3x47d23Dx4sVCfEQPrHevl1G1cjhiY3rjyOETJCsnrsRer1DsgZIofjMOAoUL4efjX1iCqGM/JA8tpRZy7Yg5rJ+mfeDMmaOInzAKT/zlT/j3//g31KlbG81bNEfz5g7q12uEZ1r8FZMnJWDvnq/Ntw1CEpLyIiESexSlJIEJRrTjJTFt7+H69Yt47fX16Ne/L1588QW0IIE1afoUmjR5Cs2aNUObl9phzpx5+OHKdYY3UeiJFSYakpD8UyVEYo+iWOLywoh2vCTmICvrDq5eu4CUlDO4dOk8m5DncPr0SZw8eQJnz/JYyiWkpt4x3YaSnJwC+DX5NSQhKQcSIrFHUbzkZWFEO14Sc8ct72net/YLAwYUjTxm+XKRm5Mf8sRCUm4kRGKPolji8sKIdu4nMbvNyU1HVvZdkpVmfhWQ3PQRY318xQ8tTZ3lo9dGErMrW4QkJOVBQiT2KIqXvCwKRT9EZJrf4BCZs1ZEDgruZbOZmEXiyjTr7hcUyOMqMF6X5gPbL30XTy8kIfnnSojEHkWxxOVFMdEBEZnjlZnFXMx7Qc5vv19foMrjsfsihiQk5U5CJBaSkIQkqCVEYiEJSUiCWkIkFpKQhCSoJURiIQlJSIJaQiQWkpCEJKglRGIhCUlIglrKJYlpaP9fESEJDglku2BGsEu5JDGtX5WRkYH09HSzfZRh86g8h6T8iz4E7PP5gr5sPkrlrtySmJSclpZmto8ybB5zcvT6T0jKu4jEVPmDvWw+SuWu3DYnVVj+leBdZDAk5VcetbL5KJS7UMd+SEISkqCWEImFJCQhCWIB/j8fquW64YEsMQAAAABJRU5ErkJggg==)
The base is divided in the same ratio as the sides containing the angle.
Choose the correct statement for the angle bisector theorem to the following triangle.
![](data:image/png;base64,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)
The base is divided in the same ratio as the sides containing the angle.
Theorem used to find the value of AB in the following figure
![](data:image/png;base64,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)
Here, AB = 4√2.
Theorem used to find the value of AB in the following figure
![](data:image/png;base64,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)
Here, AB = 4√2.
To find the value of AB in the figure, which theorem is used?
![](data:image/png;base64,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)
If two or more parallel lines are cut by two transversals, then they divide the transversals proportionally.
To find the value of AB in the figure, which theorem is used?
![](data:image/png;base64,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)
If two or more parallel lines are cut by two transversals, then they divide the transversals proportionally.
Which of the statements is true in the case of the given triangle?
![](data:image/png;base64,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)
The base is divided in the same ratio as the sides containing the angle.
Which of the statements is true in the case of the given triangle?
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)
The base is divided in the same ratio as the sides containing the angle.
To find the value of p, which statements can be used?
![](data:image/png;base64,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)
Her, the value of p is 43.5.
To find the value of p, which statements can be used?
![](data:image/png;base64,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)
Her, the value of p is 43.5.
In the figure, to find the value of x which theorem can be used?
![](data:image/png;base64,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)
Here, the value of x is 10.
In the figure, to find the value of x which theorem can be used?
![](data:image/png;base64,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)
Here, the value of x is 10.
It is also called basic proportionality theorem.
It is also called basic proportionality theorem.
Find the length of the segment AB
![](data:image/png;base64,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)
It is also called basic proportionality theorem or Thales' theorem.
Find the length of the segment AB
![](data:image/png;base64,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)
It is also called basic proportionality theorem or Thales' theorem.
In the given triangle
then the line segment DE ll AC
![](data:image/png;base64,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)
It is also called midpoint theorem.
In the given triangle
then the line segment DE ll AC
![](data:image/png;base64,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)
It is also called midpoint theorem.