Question
Where should the goalkeeper in a hockey match stand from the person hitting the ball?
- On circumcenter
- On an angular bisector
- On median
- On incenter
The correct answer is: On an angular bisector
The goalkeeper must stand on the angular bisector from the person hitting the ball.
Angle bisector in geometry refers to a line that splits the angle into two equal angle.
When a goalkeeper will stand at an angular bisector he can easily save the goal
Related Questions to study
The point on an angle bisector is ____ from the two sides of the angle.
The point on an angle bisector is ____ from the two sides of the angle.
The point at which the angle bisectors intersect in a triangle is ____ from the ____ of the triangle.
The point at which the angle bisectors intersect is equidistant from the sides of the triangle.
The point at which the angle bisectors intersect in a triangle is ____ from the ____ of the triangle.
The point at which the angle bisectors intersect is equidistant from the sides of the triangle.
What is the perimeter of the triangle?
What is the perimeter of the triangle?
In the given figure,
, a person must start from home and reach school, grocery store and reach home. The road is in a circular path.
Which concept is used to solve this problem?
In the given figure,
, a person must start from home and reach school, grocery store and reach home. The road is in a circular path.
Which concept is used to solve this problem?
In the given figure, what is the point of concurrency?
In the given figure, what is the point of concurrency?
![](data:image/png;base64,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)
In the given figure, what is the perimeter of PDE?
![](data:image/png;base64,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)
In the given figure, what is the perimeter of PDE?
Find x. ![](data:image/png;base64,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)
Find x. ![](data:image/png;base64,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)
Find x.
Find x.
Find x.
From angle bisector theorem, x =
>Therefore, the value of x is 22 degrees.
Find x.
From angle bisector theorem, x =
>Therefore, the value of x is 22 degrees.
In the given figure P is the incenter, find PD
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPUAAAC+CAYAAADtLknKAAAgAElEQVR4nOydebwd8/3/n5/PZ2bOcpckskc2SWSPBCGRILFvpXYttRTV0mrQ5dud0tKqKtqipCiKWitKEDtNUVvsImonCVnvcs6Zmc/n8/vjMzPn3ORm4Rda7XnlMTf33nPuOXNmPu/Pe3+9hbXWsg4YY9b1lDrqqOPfACnl6r/7N5xHHXXU8QmiLtR11PFfhrpQ11HHfxnqQl1HHf9lqAt1HXX8l8Fb1xMsFi01AAIAiTQCEO6frX1u+tVgBVgBgiRybgX1PaSOOj55rFOoDYYSZTyU+9lAQeZBC+KyxpMSKZ24C+G+WClBRBhhMGhA4OEhrNsM6qijjk8O61SdFgiJKNkyFoEUCmstRhukFEiEe1J6QKK9LRYn1AaDZZ3p8DrqqGMDYJ2aWiEpUiSMKgghCTwfayxCCjxfoCMDFqSSgE0UsQUk0joj3X2V1LV0HXV88hDrrCgzoEsWowxWWDzpYazGCotQrtpMCGeCW2wHP9uZ29lbYUVdW9dRx4ZEZxVl69TUWFBaoHwFYfKrQGAxlKMyypdIKdGpQCORKKRVYAXCAAKsTF6sjjrq+ESxTp+6XKqw4NnXaHu3HSqAAWkkvufjKUVFVwhNBUOMRqOxiUZOBNoFw+vyXEcdnxLWKdTvvvEu3zvyR9z6x9tY/P4H7i8qYEsGHx+FSlxpmWjqVZCa4hv81Ouoo47OsE6h9nwPTYXf/+63nHbyacyf+yqlSjtxJaZ1eRuBDmhQjSgCvETIRfqyMjmSnHUdddTxyWPdgTIL5n3D7dfexvkXXsB7C9/nC4d/ga+e8lV6D+5NpRwilcTPe9WslkhfvOZlBEC9hbOOOjYkOguUrVuoNdAK1lo+fPMDLr74Eq68/AoGDRnKySedxE577kC+Rx4EmNgSliMILPmmHBZoD9vJB3mMNigh0VpjjEEphVKKOI4JwxAhBPl8/pP55HVsEBhj8DyPlpYWGhoaKJVKBEGA7/vEcZw9Xsenh48n1IYs6k1kiUzMy3Nf4ozTfs7TTz7Nrrvszik/Oomhk4dAGVBghKUSVohVSL7oBNVEBonC8zyEEGitCcMQay1BEOB5Xp2M4T8cUkpWrFhBU1MTbW1tFAoFPM9jxYoVCCFobm5Ga73W1xCi7odtSHwsodZxRGvLCrp07eEEvOS0duv7rdx5491cdsnltLa3cchhh/Clrx5K15HNLpCmDRQgFhFhHJFXeYTLayGlxBhD+tZCCIwxnZ5gHf85CMOQXC6XCWapVALA932EEKwHiQ5CiLpgb0B8LKG21hDG7VTCiKagAWECSktKFJoKhKWQV//5L668+Cruf+g+Bo8czJHHHc5eh+0JOYhaQwgMKudhNBjtNLHWGmstvu/j+z7GGOI4rptu/+EQQtDa2orv+wB4ntfhnllr10tT14V6w+HjCTUWTYiJY6RReCJHXNEuym0FaPhg0Yc8cNcD3HTNTbz5zhvstPvOfOnowxg5caQLmsWgZYzwZbajp4ItpUQplVSm1W/2fyqstVQqFYIgQAiBUorXX3+dRx55hBUrVtDc3MyYMWPYcsstieN4ja9TF+oNi86EWp122mmnre2PrLVEOiJQObTRWAtewcdqS1yJUAVFQ88iI0YMZ9ORmyKN4P577uPBex4ir/MMHzgc2SiRShKbmHK5nGnp1OxOF8n6mG91/HuQCmMUReRyOR599FFOOukkisUiw4YN4+6772bRokVMnz59rbGRulBvWHR2Lddp7woEyvoYLVHKRwDlSju+76M8QXulBU8HBI05Np++OUOHD2XU+FHccc0dXPTLi3j576+w2yG7seU+WzhT2xp0rDHW4Ckv0drxGk+wjv8ceJ6H1pq29nbOOOMMjDHsvPPObD5hAlrr9bp/9Xv8yWPd0W8AAyYGoUAoS3ulzbVdepKwXEZJn7wqIGIJnoAY3vznG/z1qlt5/IHHMYFh50N3Yod9pzNk9DAA4tD50FZYwigGAb5K95gkgJZ+sZ01bq5pcQhWr0l13WOWNHdeX1gfB6mWvueee9hjzz254vLLOeyww4i1JooiBBAEwRr/3lpbF+oNjI9PEWxBSjDWRazzuQLGQhTH5AtFAt/HCAO+gNCChkGTBzPjNzM48dQT6dqnmct/83vO/95Z3HvtbKIPyni+hzWgjQDlEVmBEYJQuw4QKSVWa+KwgjUxUlgEFqzODmFszUFyiA7dYVYYjDDEwqCFwYiaxu861hsWFzQFmDt3LrGJ6duvr3tMWJDgJS4V0MGVSr+vZzc+HazTp8YmN6WGjcjitKov/axP2ppEE3oCa43ruc5L+o/rz2477UiuInn6/kf5x5xHqLTGdO/ek0JTI35eooUg1tYF5bRGIoijCKzG6BiVtHUao6snhUVY197Z4X8hHAWLcIvNCosR1jWaYLGCNVWp/09D2BrLaBVkhDXCoqTi2Ree4645dzN16hT6D+zP0/Oe4cOlH9Krdy985WGTdOWqAl4X6g2PziyfdQu1cBHw2pudEh+kkm60S0lZHHmCFppQR0jlAmRSCibsOJlpW27PW++8x9XXXMvT/3yarl260L9PH/JBQE5JKm0RjQ05oihmxcoVFBoa8HI5pJRUKhWMNSjPS7jPEuIFkYqnyM7XCbVNDHF37h3PWNaFehWI1b5Z/UGtNVprhm46jCefeJJ33n2X9xcu5K677iKfzzNpy62xlg71B1A1u+tCveHRmVCvl0+9PpVeaYoqzVtWKhUAV/opBFY7RW+Xw503/Y2Lf3c+i956ly/sfyCHHnMU3Yb0x+8WuAKXgtMObWFEFEbkcz4533ea1sSQETEkbCtU68yFEB0IDzMyxA6F6GmnSR0fCUIghWBFy3Kampq47LLLWNnawu577MHoTUehMQgLNrG6aoVaStd3b62tZzk2ID5emSjrFura3LNSypEmJLu6EAItFGUtyfuQ0yAkhG+2cOVvLuK3vzuXHj034tsn/5BdDz8EWZSIokQL0BK0qraBKEFCf9jh7NyHq2kWEZiM5DCTZZs9iEXWu8Y+Iqy1tLa30dTYhDYRSiqkUFSiMlIkRBnGoIRaTVOn369v1Vkd649PTKittVnZp5QyM7XSGu9SFCPzAeWKwNdQVE5AWRbxr0ef5c+XXcHsv93O6LFjOP2cs+i3zVjCFe34XQvYomBFBCgoKFA1ca4qOWmMwSCTByQgrQuYCZP0fVqZchaDMpi6UH9kpBu153lUKhWKxSJLliwhDEM22mgjcrmci4LX5KLreelPFp/YgLxUoGubNaIoykoGPSEJyzG+suSLTr7KrSGRbxmyy5Z867yfceavf8UHS5dywOf25bffPoMgV0DkBaVlhpyxFBRIA0KD1GRsKta6IJjBEifMpQYX8bZZ9CcR6Exr103vjwPf94l1TBxGNDQ08J1vfZsxo0az8cYbc+QRR/Dq/PkotbotVdfSny7WHSiD9boZabknVIU8PaQQFDyPvBVEpQgrIWjwsQrK5RgvFzBkwnB2mLYzhcZGrr3mWq694mq65XswarMR5BolKgQVgTLVSG3t8AAjTEZ86JCGz2RHJtOUL61OgtgBqdXTaZwsuVTlUgWjDQ2NDfzuvN9x6SWX8t6i9/GFx0svvEQURuy9z96Z25UGyFaNgtc194bDx6ooW98XttZmNb+pX5362Z6UiDAC6ZPLe2ibeMKBIvAkNrZEEfSdOIRD+xzL8HHjuPryP3Ha93/EQw88yIkzZjBw4iBnV4TOJxdJ7EtLARKMy2JnMNkKFSghkkEDG+LT/m9CAJ5UyIRzbumSD7HGkMNHCknJVljy4VJg9Rx1uj7qnXifDjaYUK/pZ6UchxlKuTSTFXhpXluAlQLtC7S0lATkB3Zh2kE7MXTScOZcfw/XzvwTX334SxxyyMEceMyXaBzTDcpg2y1WalSTh0QSlkOCnO96uXUEQE7lkEIRCTCuPgLfh7oVuDqkAG00IFFSuQ3SWrAQxxrf9/CkQOR8kPDEY0+ydNESLJayqTCwV3+2n7od4Mz0crmcdXGl9f2e59VN8E8BG8z8Ts2sTvNmOO2avFr1d4l2tRKsEmgBRkJkJT37dGXUmNGMHjiM0qJlPDLnPh6b+yheHDBo0Cao7i4sLkyaN3esG+UoREqFrwLKlZAwjpFKOV5y4VwDJTorJf3fhhQCbTRCSmJtiMKKC3ZKVxFgYoPMSVYsXs4pJ53MzTfeyKCBg2luaGJpyzL6du/F5/bZhzGbjaG9vZ18Pp/FWVKLra6pNzw+XvEJ6yfUa39nanxYkVV92dTXEmCwRFFM4CkwFlsS5H2PAeM2Yfz4CTQ1NfL0U0/ywAMPsuTDJXTv0o3ug3u5Fw8tUiqk5yEsKOEhhMRa3O+VqqamrUDKuiW+KsIoBJmayRolFQKBjrVjcs8pnvjHE5z2k5/wx6sv50ff/xF9evSmodDAoD4DaF3ZSlOXZnbefReiKCIIAowxGXWV1jrLiNSx4fDvE2pS9zYVZrCpUKcBGgtog2cEeU8iLJiKQUhBsX8To7fYgiGbDmVFawv/ePhhHp/7GF4s6duvL7keRYSVxKUI3w/ACqyxKOklH9okpoIFYVD1erKOEIIoClGe5zRpcr+tBd/zMLHmjttnc9YZZ3Lb7Fn834nf5Yxzfsacv91N0ctx7DHH8eGSJTz48ANsOXEimwzdhJaWFnK53GrVZHWh3rD49wq1FQgrscI1bmgJRghMItceghwCG1lXxqlAKldHboRF5AV9R/dn8sRt8HIezzzzDHPuuYclCz+ka7eN6N2jd5V/3AqUlK5e3GqENQirwbpcthKqLtQ1sAKUksRaJwLtBiDmc3mssVw28zLO+OlpvPXGm5w842TO+NXPQcAFvzyPfr36cOxXjqOltYVrr78WPMGen9uLSqVCoVDIAqie562Ww67j/x//NqFOI9UgsQjXwCFENrhDClDGIiKD9JI8p7GgLNozhMoQCYsoG/JNeTabvDlbbz6JZSuWM2fOvTz5yD/xtEf3Xt1pbGxCeC6fLbQh8D2UhLDShrERRT+/SuqrDoRbHJUwJI5j8kGOwM+xYsUK/jhzJifPOJmuXbvynW9/h+/84P9AwcuPPs+sm2ex5RZbMmnSNgRewPMvPMejTz/GDjvuyKBBg7JsSBiGWUtmXag3LDq7lp9i1EJ2+M5zMovCIq0rFLE5hZEaTQVjKxjfgA+amEpcIg6MqxONYMiEYfzs/LM497zz0RGc9qPTOf+0C3jhsReorChDBKY1JFzZjrSWYj6PLyyYuJ6iXgUCQSksk8vlaG5oRgjBe++/y5lnnsmJM77Jdtttx3nnnscJ3/oGi996HzQ8+8w8okqFQQMHovI+o7cfxzFfOZb331/IhRdeCDhh9jwvE+i0OKmOTxafilDbJKqdmtrKQKAhr10tuDIWIwwVQlpNiVYvplyQlEVMe9iO1DFd/IC88lyEPCCb/DFp+tb85cYb+PGPfsL9997Pt44/hZv+cD3vvfkOqrGAJxXRilYkkPMDokpplYx2HWDxPR8pFRbDU08/xYknnsjZZ5/N9O2nceVVV7LbvntgWzS9BvV1mvqllymXKzQ0NEIesDB63FimTJ7CX2+9lZdffplisZhRQKfkknVsOKzJ2vzUNLWlWqmZ8RS4Pr1qa6T0wVcI5WGRGGspBAUaggJGayIdYRQYz6XBtAEU5Pr6HPyVg7jh1hsZOGQAp/3sp8z48gk8evtDSJnH95tgpUVUPALVCFZhhNtkqpND0trTVY+aS2Vrjg7ztgXVGUPVQ9j0/86uxn/O1EBrwVcBBrhj9h1884RvcPNNt3Dggftz191307dPX6KWmLI27jJF8NZLrzNy8HA23nSQ+xitlnETN+OYY49l2dKlXHPNNRhjKJVKaK2J4xilVOcpzySQtrbjs6zhLRJbI2qpOyqsdc1HqxzZ34nqAQJpZIdDrKGB4VMT6uyEhcEKg5UGKx1pAUkQzbNQEAEFPAIEOeEjrcAYUCpAKoGxIYbIsZPmLaRauwADNu/PJdfN5Ne/O49lbW0cdeSx/HTGT3h/wULwi9Ceh5IPQtBaKtNeKhGZmMhEhFEZS4iUGiE02DhhWDFgkmIZA8Y4dz+dLySsrCFqSI40f579Tla/x65yAz95wU4FIi3fLJfLWYopDEPCOEICF/3hDxz/la/xyrxnOev0U7nhhptQvkcYhkhPESvPXesl8OH8t9lsxFh6N/dxAxwaXWXfVpO3Yvr06Vx44YUsXbqUYrFIe3t7h6af/yVYZFWB1CgCYW0SwDUIYxBaI4w7sBqDRVtLjCAmeQENxDXHGtiYP7XodweITo7kP2lFhyMjZEhy2RYnLekeZYWLlme/CGDEhBHsusvu+ATccP1NzL7tTjbyujNi9HBoBMqCfNHHQ1EulSjk8vh+QCUsY7EoJZOGkHSHrbkZ6VFz7h32y1R4az4TgMgavpMnrXYhPjnUppVKpRINDQ0opWhpaQGgWChw3EkzOPO0Uxk+cDC//93vOeqrX6MtaqO1rZ2mhkaiMCZocmWiLc+9z+WX/YEvHn4ES9tbufzaP6N9j+WtLdxw3XX0778xd999N/l8nilTpuD7fkZa2Fmg7L87eCayNt/q2rHJhl5rCVapZxxjT5odcn8shUB2bhCuhs9geY+7NCmvyWoPSYhaY3r16clJp81g5nUz2XTkcL71f9/i6EOP5tn7n0XkQZTBixWNFKi0RFTKBuU3gJengqQiJKGAWBqM0CAMQtgkuAdgncWRdINlHkVqMnXy878LQgjCMKStrY2GhgYAyuUyTU1NNDQ0MH36dC49/wL22Xc/fn/hhey2665YE6GUoqmhkbBUwZMuDRiuhLvvmkOz38zAQUN4at4zXHThxTzxxJPMm/css2bdxq677sL06dP5/e9/z6JFizKBXpP5/b+EbG3UCqio/l91CZ1ykBasMESyQsVrp+K1UvFaKXutVLz2Tt/j36OpPw6E6KDfpE01Z1pw6n6O2iNUTiF9ibSS3v16MXGbiQzoN4DHHn+MW264keiDEsP7DSHXp4gQCuUppFRUYuuKYqSHzq52WrBSNZvBgDTJxa/usFngItXgnanwjp+CT6O2LeVVT3m7jTHk83leeuklPv/5z/PII4/w5a99lVNPPZUJY8eCEFQqJSqxJh/kKLe2ky8WCEPIFeD2q/7Kv16az4777cHO++3CVlMn8fJrrzJnzp1M3WYyRxx+OLlcjquvvpoBAwYwadIkKpVK5h93dn7/rcIukvSpWyJJLCVrC3ZmXq2gm+w6OI2dumwIjU14AxK2PUDgszp762dIqGvFobbBUtT87CrJwCKV404TGpq7NzNy/Ag2mzAOIsNf/vhnnnj0n+RMjk1HjkA0CGSUdnMlm4SQiWmd+r0GKzTIGCvjpEU7NZVEh9bF2kq56mGzqLuwItmkPnnTG1y9e0pukA4jvOGGGzjxxBN58skn+dmZP+fkk0+hZ/fu6HKI7ylUPnDNGpWQxqAB4UmkANEO11x8FV2bmpi+1670HNObQYMHMffxxyiXS/z8p6fT2NhALpfjvvvu44EHHuCII46gubnZffb/OfM7FUqoNgvbTCunmtmIxBjP6LiqSksiUFairIdn/exQ1nXIrYrPjvltQabli6s+lPggCItX9DDWEpbLCB9kg8IKQ66YY8KkzfnqjOP54Zmn4Xs5zvvleZz1vTN5+YGXwYDKCfxIEFTSdJvEsxKVmEBaaGIRO7rhbLeENFKe0hFbqufZ+Rl/Gp50FamGTPvdzznnHL797W/z9ttvM3PmTI4//ni6NDchhSAoFAjjiHK5HeV75IKc2+BiRxMdtlrmz5/PsJHD6dKrCwArVrbQ1tZC7z492WijroSVCv379+fEE0/k3Xff5bbbbnOTXhLijP9mAV4TRFKplzLaprkWTU3eJamwTCHTwKoVSO2hYr/joTtvsvyMTaQTGUFCxzSRxbjgK+3t7QR+gBf4VMIyEkmQy2FCZ3Z237QHew/el01GDuGWv9zKvffdxzPPPMN+B+/L3vvsTcOAJvfaJZAeWKWwyhBLixYGjbvQHqnxXNM7TMqYZFzaS1QfyYYI2JonJ/vxJ82XlnZLlUolfvCDH/CnP/2Jvn378qtf/YqDDz4Yay3t5ZLzEJRE4bsoPy5AgwQid3ywcCHLVixnyIhNaezaBBaef/YFHnzwAYYNHezeUAiKxSK77rorAwcO5Nxzz2XatGkMGjQo67P/X4Ko2ebtKkuguvG7bb5jSBaXukJgE8M7C8JacEy6n2VNDVQN786ixo7jW0gwQiMCifQFCAPKcZCLnKNassDYXTbjxB9/kxO+9XW6dm3myouu4KzvnMETt8zFrtDgAxGIyO2S0ipAYXD+tu1wJlks3n0VZBrb1vyuhkCbT1JP12rCVEO/8cYbnHDCCZx33nlstdVW/OY3v+Hggw/OTPOGQhFPKozWqMAnly8ikFXNKsAayxOPPY7wPDYZMZygoQAGisUCm202jtFjRgGuciwMQ/r06cOxxx7Liy++yMMPP5zlqlfFerX28ulZNhsaInG90sBX5ipmcZWaw3aMnskkXYo1jk+fhFWINLfayfttKIrgTwMdTNlOz9qilEe50o6SEt/3nFgZx0durSAONQYP31eoZEtbOO89rrrwch686366NjWx8167scvn92Tj0QMhB4RgC4bIN7RHFZQvCazEFy5/HRvXTSYSRk1rU3IIkdwap8+lqVoZqeKGtWvqlGAgDTCl7YxAh8BT2qucCqmUMutlnjdvHmeccQY333wzX/ziF/n+97/PuHHjMiJBwM010wakRXhu0zLGgBaoUCGlE+pTDp/Bc089y+VXXcmAiQMd35wOWbTiQwSW/r37grWEYUg+n+edd95h6623Zvjw4cycOZNNN900O//az7Yuk7zdWoS1afHaZwo6DvE8F2q1iVWpkzWRxnAsgHWmszUWZSxSegiDa0XWiU6XLh4jZHK9/NXf77MTKKOqFQVVQobqYRECjImTAQJkkUJI+NJw+SgtDVa6jjAqhua+XZi6/faM3GQYr76+gLtm38lbL77BRg1dKHZpJt+cd51fSKJQk1N5PARoi4kNxlgcx5LTbNZYJyQZO2JNQV+Wz3Ctp+tyL1MBBbcAUqFO70k6BhhwAxWSrqhcLkepVOKee+7hu9/9LnPmzOFrX/sav/jFLxgyZAjt7e3VWmzjJm/oOHJXzFNoY7EGPOG5gC1ABL8983z69e/Prp/fncaeLn/tBR4bdW2muakZk5AhpOfVrVs3Fi5cyHXXXcfEiRMZNmyYIzCM4+yzrY9QL8LVWzTy6Qr1utb++sQH4jjCUzK5d1XeNpHVYkgU7j74QrrZdRUn9jKx14WWCCkRvkDEgtYP2mhZ1kqxW2H1c/osaeq1I9n90zKbTrs2bMZdJpDoSowNLTmvgPQltINdHnHLjX/lDxddQrlUZp/99+Hg475Av579UEXlNHcMVhrKUQmllPPZBcTWDfqTQibxcpOciiTjOrRpOk6sFwFiugDSuul0WEJaS11b1FEulwmCgCAIaGlp4YorruCcc85h4cKFnHLKKZx11lmAizsUi0UqlQraaPJBHqmta3P1JZG0xDrG04pA+hl7a7ww5HPTdmXa7rty/A9OoOuArujQYHw3f9wag4cirIQIIdxkVKVYtGgRU6ZMYfDgwVxyySUMGzaMlpYW8vm8m4SabAJrwwfW4llLt+xOfzrYEEIthIVks7VW4CkPIVOSThc+ExanMAKXeqy0h1ityecLThuXoW1pO8sXL+fdBe/xwlMvoAPNsT87erX3+8wFyrLc8Rr3a7GGx5JUlzXYOMb38/g5n1i52k+LgAbHwbX/CQcxburW/OF3F3PZVVcxe/bdnP7TnzJ227E0d2kGA+XWNnIbFZGBQpc1KAjyPtoY2ssVPF8hVZq3TgaNJZVvH0XTpD3IqVZNqYFSjnVjDL7v88EHH9C9e3eklJTLZX7wgx9w5ZVX0q1bNy699FKOOOIISqUSxhgaGhqw1mYkBjqKEJFBKA8QxFZjUibQJLVqY8viV96ifUUrEzbfnEKXovtoUiDQmKSkVnl+VuASRRHlcpm+ffsybdo0/vSnP/Hcc88xePBgcrlctiGlG9Xa0JM0sfjZQ6VcRimF7+VclEtbdKgRuL5/EJjIYNoj4hj8vEeuMQAN7W3tlBaXWPzSEv455ynmzL6HV+a/TC7IMWnaVp2+32dMU69NqFNNXRNT7EQLCmOwsUYpiRCKyBhiI7DCx1iJjSHnCQIlqCyHfz7yGOf8/GzeeGk+++y2J6f88Hs09WlG+QoKYOKYcqmEzHvkmwtYYdEWNAlNrjCZ6S2zGvCapPY6NHVGs5yYqKVSiTiOs1LP2kaJMAyRUrLrrrvy8MMPs8suu/DDH/6QqVOnZv5zbceUUopSuUQxX0SG2hWd+JZ2oVEoiviICGQEuhJxz8W38LOfncnld9zMppOHgASNwfoaIw1hJcJGhmLBnVsURVmX1vPPP8+ee+7JhAkTOPvssxk5ciRtbW1IKQmCINPUaxp3++8a17Mh3lMpRRxGCc2WqO5MFjclNraQky635Ts3KgojFr+1mL/Nns0ds27nrRfepiCKjBo+ip122ontt9uOPoP7kR+zuoXzGdPUa4OEZJbT2oRfoFCeDxq01RiEM4U8iRISlYNKJSaMLI1dfbbdZRJbbH4Vl/32Mq669DLm3HkXP/7xj9nxyD2RywUqUBS7NQEQt8VExBSa89hYJhVB0mnqj4l0saezyQqFQrbojTGZKZ02Z4wbN4433niDr3/96xx77LGMHj2acrlMuVyma9eutLW1US6X6d69OwCNDY1Ju5u7VAYwUuI5iXVjgj2BLmme+MfjdGlqpkffriAg1iA8mUV387kcXs7DWrcwUxO8VCoxduxYdt55Zy6//HL2228/Ro4ciU16OmgAACAASURBVBCCQqHgBtm3tVEsFmltbc00/WcB6yP0lUqFODYUAg8RG0wpBlwVI1KAJ7AVd52jDyNu/eut/OmqK3jhpRdpbG5i4CaDOfFH32Da9tsxYJP+FDdqcBvAGt76v0hTO1jbWeuK09op+4o0zsxEARJia4iMJjYGbQyB8il6HmEpom1ZiW49monbY9555h3OPvMs7r/3PsaOH8fpPz+dUdPHErWEGGPJbZRDY4gjTa7oEyd94qlQy2QyiEhGAq2Ppk795jRSnJL4VSoVfN/H913488knn2TfffflnXfe4Ze//CWHH344vXv3zhZdFEW0tbXRvXv3rGNKa40fBAhtIHTnWA4EFeXGFQWRxbegfEn7B20cM2l/+vcfwKnXn0tDr2a0AeWDkZrIRkghUMZDx67OO3UVgiBACMG8efM44IADGDFiBGeffTZjxoyhVCplUfogCP7jBuit61zWa9CF8jAxKAmiZrpMUvRAZWmJh269h7/dcTuPzH2U1rCN4SNHMX3n6Ww7bRqjJ47Az3tIXxIUA6w2hOWys9i6NK/2fp8xTb1mYa4Owusk9S7SNjeJQRGlAqXdRTbW4glBoBTS99FRTFQq4Umf5o0aidoqWOMxaKtB/OqqX/Pg3+Zy3i/O4ajDv8ze++7D0SceQ7/x/aDkXtMveISRqfrUnZxTegrrg1rO7DiOieM4E+hKpcKll17KmWeeyfvvv8+NN97IXnvtRT6fz8Yfpa9RLBaz79OBCwLcasu7c5TCJik4l1BVykVjK4vbWfrBEg7Y/0AnfLgKMyHSskeDtS6anzKdAFmU21rL+PHj2WGHHZg5cyY77rgjY8aMcb6m72OTNFgq2J8lrOt8S+UynvTxlCIt1Y7ebmfOLXcy66ZZvPrSK7S1ttG3Xz++dOAXmb7bTgzaYgiF5gJBPnFNPIhNRHllO8pT5ApFgjW872dMqD8mspYYAIHykiJ6DUani1e51jYMnpJY4fqksQIZ+M5E0oJi10Z2PngHxo0ZzU1/vp6/3HAD9z14H18+7mgOOvwg8n3y2Ar4ie+khEpK/yxW6KRrK4mKI13baCIM1ibug/sBhCHwA0qldqSQ5BIubWstvu+zdNlyTv/p6cyceQldu3Zl7ty5TJ482UW1Ex86TRlprSkUOqY/Oviu6f6TRCUUyvGjC9Btmrdef5vQaEaNHY2X5E+re1VSimMFsY4RmKx5JJ/P097enr33UUcdxUMPPcSDDz7Ifvvtx5AhQ7JIeOZXr2G3SzduKzozcKobp/PAqrGMVZ9a+7cdXifdaG2qPmpDc7WvJqvPq+mlJ0lTuQR08ldC4hecNVVZUuHuv93JnDvu5qVnnmPpoiV0b96IXXffhd332J2effvQuEkPmpobXaVYLnmdpJ5UeR6qqJx7U4mwWPzC6g0d/zVCnS0E0fGiZo/bxGwX1Qedpqma9LaDIZD2wVoIXMKfJMYRFH0GbN6fYwZ8hTFbjebPl/2Zc8/6Nf94cC5fP/FExkwb7V6nDORBadAeqEAQipCIGInEaoVE4QuPsBxRLARgobSyhXxjg6sXjkJynlsUulKBxA99f+Ei9j/gEF5dMJ/p03fke9/7Lttssw2tra34vp8JclqEUjvbaq0wGh/wUcgYrIFKFPLE089Q8gwDNx+F9LzkUtpk8xGAQoqU/N8hdQ1SzW2tZerUqWy99dZcffXVTJ8+nVNOOYUoivA8j0KhQCUKXXqxw81LrYjkR/fTWteCETK7ldXyDpvdfjdH27jPAhBp0Dq5z+5zoMhcp9g4ammlPLQ2xJUYLwhQQoG17mnWpSmFwqWhNFCCe6+fwyP3P8yTTzzBBx8spqmpkQnjJ7DdtO0ZOX403fv1pHv3nu5vPKpF4enSTNxEIck2fOmt+fN/xnzqDYVVF/Yql8DaVX7T8fnSgogBK7Gh5s1X32LOrDnccfPttK0sse+++3HIkYfQfdxGrmYat6Ajr0I7bUhfopQH+BB5EBsCX2Fi7QpBVMKu6itAoCsVhPKQQQBS8Oy85zn62K/wyoLX2GuvPfjB//0fm40bTRzHtLa20tjY2GEyBlRHnq5rQkYUl0EIfJHDltziX75sOaeedAbPP/UUdz5wF363wC0+ZcC3RNKiAYXsMGq4M0gpue+++zj++OMZNGgQl19+ORtvvLEL5lUqNDU3uThEh/uxajGuyFpvsztkqxrcCtCC6qacPJ4VZibnJ3HDCrSO8ZXvGlesdcljKbDKEhPhKQ9tDTqOsdqSC4pYbV1BiJtUBL6oVnsuhccf+QcP3vsgC15cwJvzX0NaycjRI5m87WQ2GTeMvkP7s/HAjREFiY5iVOAlZaAdV1w19kK1cSl7Tk1lWQ3+azT1R8M6gh+p+buG5xsBygNTLmOFYPAWm3D00GMYNnIYt1x1Czf/9WaemvcUh33lMKbtOA3ZRyBCQdgW4Rdy+MKrmVghKYURgechpUIIi+dL2pYto9ilGR1VQFhUPoeJNbNvn82Pfnwqz8x7itPP/AUH7L8fo0cMJ4oiwjDMUl1RFGXmbG1V2rqQtfLpZGEpCNtCXn7lZYaNGg65GnUpE9/brl8RRoodd9yR3XbbjZkzZ3LllVfy/e9/P5u/RVLS23EfFTVf3ZvXGsO1rbjgBNjDQiIkq55ZGmqNdIyUwhULeQKdVOtJ5XYHKwXGKForIbkgQKmcixFUDJ7vOelJ6LTiDyKefeJpnn/qOebPe4n5r8ynbWUbA/oP4JADD2bAppswYsJIBowYDIX0+jmXy0owwmJl6vxU+QJkZs7b1dySNVFd/48K9dqxpvKVKiyhifDyEmJB2F7Gy/nssM+OjBwzitk338GsWX/j56f+nBeefZGpu01h8x0mUIwbEEogtECbmEhrx0VeCFxxvk1mTWmNyuVIw6ResZHFi97nL3+5nl/96hyWLV/Oueedz0EHH0T/vn0zAoI0eJa2OQIfmW1ESOl8xSRlIiSUV0YsXLiQ/fbZC5mridpnrkutZl37e0VRhO/77LXXXsyePZtZs2bx5S9/mT59+tDY2Ohy8qmzvqaUTc2DsuY51XSmq0fAmuofpHuRqD1Hg/R8YmOomDgJ/kmQikjHmEpMIANE6BgulZSonOf+WoJtMTz/7HMseGEBLz39PPOeeJplHy6lV4+ejB83nnFbTWDcZuPYZPRwaE7eNgYqFlxrAJE1aDS+SLnMbIfPsX5XtSPqQt0pEu3jqTV6boaQkIggn0NGgkqbi3D2HdOXowcdw4Rtt+CyC//IjTffwAMP3c+hxxzKbrvvRkOvIoSg8NDGEurQDRwIFGEpxhiLzEnyDUXCSomg0Mjrr8/noosu5rLLriCXz3Pe+edyzNFfIYxDwijEaE0ulwOc0NT60R+1d1kKZ7eaNO0SwcJ3FxOFIeMmbIbwkvFF1unAzHtLnNXONGNn2GGHHdh333255JJLuO666zjppJOyqLxxtZNrzPalZnWt5q75BJn/3OH3WSCrmnnw/Zwj+DMGg0gq3Iwj10AijRsDlVP5pA8VaIfXXn2VBc/PZ8H815j797m89cabNDY0MGTYUHb7/J5MnjSZkWNGIXv7zv0qk5HTWm0QgYCcQFtLGDo2Eym9rFNBAqsSha5mvKwF/6M+9XpAGkpL3uG1p5/m9XaPqutiae7Sn2FbDqVrAyirkNZDWoGNXX5XKc91ha20XH7p5cy6aRbvvPEuhx16GLvssQujNhuJ6qac2Ra7nHOhmEumk1i0cONvlPJ54eXnOOP0M5hzzxzGjh3Ld7/zHfbaYx+MjRFCElZCgsAJdJq/LhQKWd9y7cxwWLdPba1ji7EViRDQurKNay6+nt/97rfcc89seg3v7YpVpIW8QhMnpqMzgrNWwTVd1pr3v+WWW5gxYwYDBgzgzjvvzCLkKnEBUoup9n93B9Yu8Z0KNYK0xz3dFOLIonwvmcjqzNz2xKVqyOecv1x2x5K3F/KvN1/n7Vde49777ueZZ+ehfMWgoUMYt8V4ttluClttM4l8r5zrDbBgyslbRwaVlym5HSiIrCayGqEknvKIiBNzOj1bmVghznJSIiEZXuVjd0oPVRfqziCRssKbj/yB0/aZwRXLOj7atetWHHXq4XzhkEMY2bsrMmpD4pEPcujIELXH5LwcXs4HH5bOX8o5PzuHOXfew9BBQznsiEOZuvNUum3cDdHgxsSG7RXyjQXi5OZ6vmLBv17j8/vtw0svvsxBBx/Ij3/8E8aNHEclaiOKYhqLDUSRRik/696qraNOu7rSMlNYt1AbE0MEUjuf8d1/vcdPTj6d1994jfvuvxuahXMVhIa8ck0skmRipguWrc13SZtTfN9n5cqVnHnmmVx00UVccMEFHHnkka6irJDk0+ko1FU4oV5V4FNbwSa5qVREsniZlTUBKMvKFS00NTY5l8PgWnR94ezXVsPSt5aw/I2lrHhvMXPuvoO7772XkinRt/9Atpi8FdvtuD1Tp22P7Jc02VRcAN3LQyVM9j5h8TGuxtuNZMUICOOI2MRIz8PzfDTxKtH6qlALyyrM4VXUhXq9IZEy5O1/XMYvvng8F77ZQI8BvWnyLBDTtvg9FrdpRn/1Ws770cHs0l+jEWir0XGM0IJ8ruhK/1K7ycLjtz/OheddyFOPPcVOO+7EUTOOZOQ2o8g15kBAVIkoVyrkizmef/kFJk+aRGxjvnnSDL598rfp1asnba0raWpsxGiDJyTGWJQXEEUaz/MRwo27qS1Qqa3SWqdQxzFEwpFC5GD+E69y7Be/ytjxY7jw6t86n9CzWBEjch6xTYbeJZZBZ0wcHV4/qWRTSuF5HrNnz+aAAw5g4MCBPPPMM+TzedLlVo1oOwKMKpIsck20W1ANihkhiWvEQJDsO44vo8r/aJIHyyQehaG1rZXK8jbefuE17p41m7n3PkJbayuqqJg8ZVsOPeJQRkyZ6Hxkibse0qKxaCuQORc1d1kpgctxWEwUo7UBJRCei3O4U0g5TaprL43QZxWQlqQUt5OV2sn9rPvUa4VFx5DvszfnPH0tR3YHWMy8X5zEF869nhf/cDY3bzOYUUdOpp+uEOmIwA9QnqJcaceTPlIrRAQowdZ7b82YzcZw859v4orLL+e4ox/mqBOO5MvHH0NLpY2XXniJ8RMncNddc9hn372xGC7540wOO/RL+L5PGJbI5wtYbVFCUqlUyBcaEhNboHW1PTMIgswcr+UnWzdk1XI1UGkv07JyOaPHjHTBnciZ/VpalDBOu4mElmk9HOrU3097vydPnsx3vvMdLrjgAubMmcMee+yBkG5ZptFeK1fVOzWGeBaMd7X/1WkYSZ7aVuN6Mo0TpIcGG1rCOMRayxtPvsItV9/Aww89yLKlSyk2NLDl1luz1557MW3PXaGvchtATJaqJHD90lhB0OBjMJTLZayEfFDEEFMph05j5xzfW2RdSbJI3AxrDCJh7Eg/qqoNVaz7snZAXajXCJEtVmxMVHYX39KT8d/7LWe98iTfuOJpHn3iXyzYZTL9+wUURMK0giXI+QgkK1pX0KVrV+IVIZ70aejfwOE/OIJtdt2GC847j4svuZhZd85i6fJl/PP5p+i1UW8WLV1IY1MXbrvjb2w7dSpSCEqVMliB7/koIdE6mcVNalp33LHTWvG0AGR9IWuYUE2L4e1X3sYYw9QpUx1ZQt4DBVJ4GGuQKtGkxnSaXlkV6dC8VLC7devGTjvtxFlnncUPf/hD9t57b8qxxkumn+qEWEBJxw4LFk8pdM0w+6y+PBVmY/EkmBjiyFXBehJ0JXFrfbCxs17+9fQCbr3hr9xz1928//Y7dGlsYqsttmLPz+3FpF23pWFYl+oEphgS1ZulmRACL/BdkYqOkFiKKjG1owpKgB+oZIMxGAwKUCIrh0GmJY41d7G6j9mar+uHulB/ZFigO4OGBjQV4Y13FvLhEg39lFtUyQRPYw3t7a102aiJqFIm6JpHlw3SWEQkGLrZMC64+vfccdMsvn7iN1j84Qc05Zr4cOmHeDLH3EfmsummwzGhpRyVyeU8fD9PuVSmFJVpbG5ExzHLP1xGl27dNyB5ochW1solK1jw6qs0NDbQr1+f7GEjLEYaREJIkWrC9Oqs7Vzy+TxxHGejeJRSjB49mlNOOYXzzz+f227/G7vvuRetlTKFIIeQjmAiTgTC+fOOaAALgfJAecSxoaW1FeV5NBbz6DaBEhAkXHOEztclhreefZcbbrie6675C2FbCV96jBszluOO+xrbTdue7gN6YPMgcpLIQsXPgvsoa2tYPo1r0khIEFwKLTEHDGSpPpuWg9ma6yTJyK07KaRZ7RLatV/XWtSF+mNCKZem1dpgY5fHFFmNuQEhaWgo0l5ytEGtpVYCz0d5eZBQaS2RF3mGjNmUCRM3Z9bsv+GFTtsJYymoHPmCW7g+BcJySBzG5IM81s9hK06Dddmo+0fbxtcFk6weD5Z8uITn5s2jd6+e9B5QFeqUp1rWLr71zGVVKhWiKMoYWgB69OjBgQceyC9/+Ut+evrp7LLX59zAe1KDWmBjiyckfqAyUz+sxETGks/7+FLStbGJONLoVutGJAvhVLOC5a8u45rrruWvt97KwoWLsAK2nDiRKZOnsP1229NveC8KzXl86cgJhATjQ+yTeCRJv75N0m2JUDuy1STiXvv5LVTzYGmwrhrbznL8tsofmtyA5CdTva9Zbn39pLou1B8ZEghZ/HZMexv069WDbl0SE9dCSjUIbuFJ5SGEIpf38KVieesyLNBUbAApefVfC7jznjkYDLGN8fGoEPLVo7/CGWf8nCk7bIPIQYDvduvItYcKKVDSw0QglMgWXWf4KLlqa4HYIgLBspXLeH3Ba2wxeUsXGHKuezYjIhXsj7qp5HK5jKcspWAaOHAg3/zmN7no4ou4/7572WH6DkRGU2prp6mhSMF3nz+ODCa2eEqS9z2stsStMVIoVEHgFzxnHitY9vQiZt3wV+574AHeeutNKmHEkGFDOfyww9h6ymS69e1GQ7ciDc0NWA1RBCUDQiWKlUR40dlnFElBi6sPsdlEDZEInkg3dQuQbECJQApwvHRJ663FNQ11CPjV9t/X3Lb1jVlAXajXCQsIGdDQzVVbCcq8c/VPOPOut3iTTTh8/FCGDqHDBEKnsZO67Sgi3xAQ65CWUhue79OYa2RFaQWXXnw+p5/6M/INRb55zAyeeuwJBvTdmGnbbs+Vl13Jt75+Ep/73N4ce8wx9B7bF0pgI4sqJEEvIxDKYlJSxbVgfQU7qyXWUGppZ8Wy5YwdOy55kKTLrMpfXdOolT1nXedRm2pLWU+6devGl4/+MhdccAG//sXZTJm0DU0NRbx8AWUVcaiRQuBLiZUWEQuEdtdaBp6bkQ289czbPDjnPh574O+88dKrtK1spW///hxy8EFsuc3W9BqyMT379qKYL7pbVHS3yhqwXnZZEQo8AZ62ydQXatJkLm3mBigK4poqNfdMlWx+Cal0wniTlqJVk1PV4XnVkbWrXsf1vLA1qAv1WiFRCkqLH+Scgw7mxrxGyJW8//ijzH2rnV67zWDfnbdkk04uvADXdqcConKEFQJP5SkEAa+/9wYXnH8+5513PgMGDObC3/6e8WPGs2ThYpobm+jfrz/jR2/O7Tfdyi3X3sTz/5zHwYcewq777E5D/0aouKCP9MF8RGe6swym84MtURTjWYXnK2iDJW8vxvM8Nhs3ruoekkySWGfyqnOkGjqlXkrJFDzPY+iQoRx08MHcNut2nnz8n0zffjsKuYCwPXJFPYFERCBi4bSxq7mh7bWV3Dn7Th6f+zgL5v+L995+i17duzN1+22ZMGVLBo8cRv8+/Wnq3RW6dH5eUrnDCtdfb6wLaGU8bUBqNlcD6KLWWF6t5CXV6RJbLV6yMlXr2RPTCjebvIV7K9Hx1ez6C3ddqNcCE1cotQDRuzx1xw08BUCA9Aax97H78YVvHMD2w3NABS09pFHVfloDcWwIAo+2ljZyxRy5wOPvjz/Gb849hzn3zmHajjvwox//hJ2nTMNYGDCwH7RZ0IIJUzdn0OCBjBo2kpv+chPnnnkOjz32OIcefQSbbT0W1QAmtFTKEOTpqKlrFyFJ0X+6jjoTauECUVobV83lw9I3P2D+iy/To0d3Ro4YnrmHbgNISOVr3yrRRKsXinSETiiE01r1OI6JoohisUihUOD73/seN1x/PVfMnMm4kaPo2bcXQeBjIoNQwjVQaGh9YwV/nzuXp/75JG++8BoL5r+GrzwmTtiSfT+/D5tOGM7wUZuyUb+eroECaP3Xk9z1qwu5+4N80gUnsFZTah/PQT8+gG2H9aJASiqRmsQpwX56rarfuwo694HlKp+7egtSzZ4KbVWgRc1zU4FO/87W/J1z6GxiAa4bdaHuFM6w7DJwMvv98Nv0WprDS00sO5C+/buz3UF7MLKHQNJOGYUnXC+utTJL7QicuRx4Pn7OY/Ydd/HTn53Biy8+z74H7Md3f/A9xg4dQckaPANxqBGRxY9cdKdb3+7sf9wXGD5uFDffcBOPPPIPXn5pAXvu/zn2Oehz9Bnai6CMo/dNGzHS+EvN/GMrTLWtMEXNzy44J1zxSuTOffEHi3lt/gJ69uhBvl+z86eDxDS11jGkJAUSNnk5EtO8FplPWeMPKqVQUiVdjm4Agytp1Wy++eYcvP+B3HXnbKZsPZmJW27FFltNRBYkK99dzpOPP8FrL7/G/GdeYt7TzxK1Vxg5YgQH7n8Aw8eNZMLmE9hoeG9njqfubQVEXtOy8kXuveQyLvlg1fu9FT2/tB1bDOtOk4lRSSGNBrSU1YsKmWCJZJmsWrq5qti5Jg2xeuS65me7ys+1L5nWx6SbzPqgLtSdwmK0oMvArdj7W1uxdyfP0LSiEYQJ95TFcWX7KpfdESUlVkPQFPDXW27lxBNn0F5q46vHHcc3T5rBgH4bUzFuPK5EuUhuUwBl6+5M2Wm2sbuOZ9TEsdx+0+1c8+e/cPVlf+al51/hgIP2Z8q0rZFNAsoqdeOplCuoQCWVTnHm3wmRtBla5xNK6RpWdGRQNunETxzlDxd9wMI33mWLSVtmXOdGOaXlWRA6IVwQAqsksRVOmwgD1iKFcuG0WGOEREkPsHhpYYm16NhRIPmehzUWo8HEhiMOP4pbZ83i4ov+wMb9bmPfffend89ePPrQXB7/+z+otFfo3as3m0+awORtpzBlyhR6bdLPCXKSvtIlg8gLpCcy81Yon0IzsGwAUw7YjZGNLghWKU1guwHdKOCaowXScd11KkS1EiyqHBGrPJQ9hXRv6dxFW+vrI7LIuqjZWNaFulCvCWIt5bHCEoWuFxptEUomY40s+GB0QgnkSVraWnjo7ofYb/99GTRoMD/96akcddRRNDY2utSO8J3XJSxB3sdYg8jjtGiDcMyT7RbV7LHPl/dh0nZTuP7q67nx2pt5+emXOeQLB7P9HtswZNSQNDCPCTWe74SKdL5YwrQqUFW/URuXLjICXyusAZH4qYvf/5C2ZSuZMGqsq7zyoCSMm4xpcLS2SoCnCIUkEgKFJkhyydpE7iKm0WLjGEdNFGOFQCqZ1Im7/Jj0BMUG9+YP3P8gvpdj/qsLmPfKczz08MP06dmLXt17MmLESKZttx3bTpnK0JEjocmxntqEbw5jIRAoX7o+ZWxGmSKkmzriN27NCVdcymH52ptqsTqZOW6cOHmJ0KaPJ8titXWyirfTAamGlqmDtCatnsm8+0Zm6jttQ60Hyj5ZWFfbnXJrCeEG76U+YlrNtXDh+9x8801885szGD16FGed9Qv22muvrBJKJsX6yTpy3GUCN1wvubl+U4441ITtMZ5S9B7Rg2989wQmbTn5/7F33vFWFVf7/87e+7TbuJcuiIL0oiiCKIqiEmwoFuwlajRib29siVFfW2KJMbZEfW0xsXesWLALBkVREREFkSL11nPO3ntm1u+P2efcC8GSvL5J8Ofw2Zxz92m7zJpZs9aznod77rqXa6/5Pa+99DInnnk8PQf0oq6mHbl2FZgoBoEglQIjTjcsEe1zlVQe+bCIj0dFtgrRrtMrX2ELsOKr1dTUVTNo6MAyNU8kxmk9iThaZQUiFqPEiQYmwIyU51MsFACPilwFIoo4H+L7HiYyBKmUoz2y4Hku6BWtDlnyxVKW1i/hlj/d7Ej+UwE5k6NZ59lj/HgmHTeJvv3741cFkLeQ9Vy+PjKolO/KQhMaIlvOAZX8/sQoFZhoKTOfmU6vLhZPLJluA+m7QTuq0oq1Qw7f7PKuOz7xdW9tGx9f4ze+8Sv/sUAo/GjU/3QzxpDNZssKj+A6exiGKKVYsmQJl112GbfddhsbbLABjz76GH379l2TYkh9fUWT4wxXWHFK2H7Gw7MKaXbplq12H8YWW27B6y+/xsUXXcwBex/IpOMnse/P9qVHpgcY8LwUJnSBqEwujZ92xAvaGOLYUJGuIPBSmNgZpq88fE+xfOkyFsyfS1XHdvTZbKA7xgDSgY+gsRj8ZAFvRaHEkRRaqwgtTte6ohqrwWiwkXb61qkAvyLl+mkIpimmqdDM6pUr+fDNmdx7zz288+H79NigOx8vnEchzFOVqWZY3y0Yv8d4Bmw5GEKLbo4JsimIBIkMXuCjUq6s0iQAHvx1GYPC88HmX+eqfUZyVbK3w6THeO7XuzNsg6DsWazP7Uej/idbGIZkMpkyayY4UEVlZSWzZs3i6KOP5p133mHHHXdkypQp+L5Pc3NzmV0z8AMqchVr5LfXbqKE2MQJzRHlJYFEEPgeqU6KMeNH03/An7n+uut45LFHee6lFzj5pBMZvcd2tAtq8Pw0qcq0q/HNW1QQOC0nZRxpHrhUVjrtot/A4gULWTB/Pu036IDq4oj1re/KKrUYNBbPU+U1uq9cwX/g+fjKJypCLuMmTR0KqVQAaSe0pxvdIBM1FvhgQ2E4igAAIABJREFU2rs8cO99vPziVLTEDBsyjBOPO56NtujLb/9wFZ/P/5zFSxeyzXajGDB0SLk8MsimXOBOBHzPzdDK/WkV+P7Xh+HdTJyisraGjCfYqECvjpVkfNb9gfWw/WjU/2SrqKjAGFNm7ywxj7z66qsceOCB1NfXc/rpp3PllVeilKKpqam8Rq+pqcFog44NgffN1VNBEBBHMYWwQKBSZFMZ/LTXyjjpwwaDu3DpzZcw+a5nuPvPd3PWWeew0zM7cdKZxzNgi/6ussgDQoUuGIJq31VthY5EIVuRRgdOTRFg0efzWbZ0IQM2GwCVTokj1BYVWCeCF6TKmGWFIpXoKCOgNNi8sy4VQCpQiBWkRYiaI9587Q0eeeghXp/6Co31DfTutQmHHnYEE/bci76bbQbVYNKWPQ/ek6bGPFuP3IZnX3yBiQfsz4Y9u2PFsbM6+KfDhVsLVks5juElgf2/N1GLNRDU7MKV7z/B8T1K+x3AxH6N3vP61n406n+ylUgJSpI31lquu+46TjvtNDbccENuu+02DjroIKIoor6+ng4dOpQJAZ1xlxg61vHdqpSKcrW2QdqVUqpkLSza6RV7vufuYB7IwB4H78K43X7CHbfeyV2338XRBx3LUUcdxb777UtN52pS7T0C7WObwasGUgqJXQQ7sjHppDxz+ZdfERVCNhnYFxJSvLAQk0ORxgc/UfUsxnikUCnl1uwaiCCbS1zf2B3bjLdm8Oc/38Xb06aTb85TU1PDHhP25MCJBzBo6BAk6zmKH3Bc6TmPfCHG9wNOO/00zjvvPJ5/4UVGbjOSbC5LviUk8H0CFTjACA4JFyTgEZ0E5b5xNarW/EN5gP02XN560uQ7NGPMj9tam4hIHMciIrJs2TI5++yzBZANN9xQpkyZIsYYaW5uFhGRfD4vIiJhGEqxWJR8Pi9RFIkYEYncZmIrWmvRWktoixLaohSlIM1xkxRMXmKJREssVoxYI2Lj1s9Ki4hZbUWK7rleHctHL30iJ084U/rnNpUjdviZvHn/DCkuNO799e59EolILNLSWJD6YlG0iMjKUK498hzZf8hYeXfqOyIiUrQi9XkjOrZiilq0NRKGoUT1ebFNWiQUkWYRaRR3DItFZj/6jvzqwF/I9t1HyqBsb9m623A5ee9J8voDr8lXM5dK08JGsXkjknfHYxtEpFC6FiKNTS2ijRURke22Gy2dO3eV++97sLVT2uTBisSxkSjSYpPdVkSMtW3ul4hILEtn3SNn9kEgLVXtO0nHjh2lY8f2UpUZIWc88IF8EYuI/Pv71j/aD9duP87U36GViPDbthK08d133+WSSy7h4YcfZtSoUdxyyy307duXQqGA53lorcvidSX5HPelrEnC2aZ54pVn63SQTsgFLamE1F/E4Ckf5XvoyBBkHFmfp1xE2g8CBmzRh8v+cBFjn9qZ22+9kxNPOpFd9tiVY084il7DN4ICxM2aVFXgaq5TCmugcf4iGpaupFvn7vTq2QuAOILKjIcfA7ECz8PzUpBNOZRXklOf8+aHPPngQ8yY9jfmz/8cUcLwkVsxfu+96Lf5ZtR0a0dNVTuCSkeVFIcGIxHZmjRioRCJK00FKipy5PMFqqsq2Geffbj88t8w/e3p7DF+D9KZtHPpk9JNP/EcSrdIZF0xY0FMTLEJIKJ51XKaW+8wSxtD4h/ENM2PdEbraqXih9KlKSky+r5fLvL3PI/JkydzySWXMG3aNI488kguvfRSunXrhjGGQqHwdzI3pe8uq2WIQ3KVkFilNJYo2+qC43DIgJPowaGaVEJ7I+JwxS4PHOAZr3Ww8JzhfvLhPKY8+SKTn3qc5kIzRxx9GCf84jgAbFGjcj5FhFzg8fGTb/GHX1xKl359uOCea4gthBYqsuBp950lzDUhzHn9Qx5/7CnenfEuS7/4AinmGTZ0c7bdYTv6D92Uuo03oHPXzgSViQCAcQAW8RwBglEWlfYcHZB1SxLfCJlUQBxrMumAYhix15578dFHH3HdDTewz4Q9MdYh0HzPww88mpvzVFbmHBur15bxNLnunhA1r2LxnNl8WfDXIJK0JscGA/rTvUMVWWXXKxf8Rzqj79jaMnBGUVRm52xpacFaSzqd5k9/+hOXX345URRx0UUXMWnSJDp37lxWyGgrObt2azuOtsKK1wzXupI8F+1RbfDCUIJiWreAVM4wCMCzgsXH84JyIC1VFTB4ZH+6bbQBfQf15rHHH+PmP97MK69M5eTTTmbbXUcBkEoSrB/PnktTQ55R/fpABvxmyKXBMzgMdR4+eONDXnvtNWa9+S5z3vuYQiFmkz592P/gg9h8i8F069WD7r26E9Tm3GnFycGX8OPKsXJJACjrCBCUU8VAlGP4TE45jGKymTT77LsvM997j2eeeYa9JuxJnIjuBYnIXyaTbiU1DBRrX3qxinRVJ3pt2YleX3PfHbPN+t9+NOqvaSbpNCXivtLM63ke559/PldeeSV9+vRh0qRJHHroodTV1ZUrj6IoKn/um9q6hd5cU2ug+5N960Q2SCK4ZzGeh6ckQUT5rQLnCuo2qGHXvcYxcMt+PP3IU/z5rru4+IKLGf3iNhz60yPoObgnAF8sWoRKZxg8dDPwwKtyn//g9bn8bfqbfDZ7Dm9On0b96np6d+/JLj/ZlQFDB7PJoN5s0qcXuc7OkI01xMbhqEvaWFZ0ct4OFOIqisGTRMcsKT5R1qAClzOPYg2k2G/ivkye/DhPPTWZZ5+bwO7jxhEagzEx2jh8vdGa1nqpdTjgPxCj/bb2o1Gvo5VULaSNjnM2m2XlypXcdNNNXHLJJQwbNowLLriAcePGkU3UKNPpNKlUag352FL7dgNfc5Z2T9xzRzVfwv7KWo+gyh3ZWbBVBuUlhu0pl/rSTkt6k349mXTqJAYM6c+Df76fe275K198upDdDtgHbWOefPE5ajMZMl6Wxg/rmfrKK3zwyUfMnfs5c2fPpn37ajYbNJB+mw1ixOYj2KzfUIJOqbJCY4RTnECBCgBfEM9ijcHoGN/38FSJXKFE79MWF53UfwkEgU8chURRROeOHdlj/B68Ne0t7vnr3fxk7FgC3ydfLJTTidYYgkS99AcSx/6n2o9r6nU0aaMOaROCu1mzZnHTTTfxxz/+kXHjxnHhhRcyYsSIshDdt5EQyDrF1FsVI9YNORSULbGarP39SeWFilHoBAKaJHIkqezAR4mHsgrPuFnbasELHJRy0eyFTH58MtNefYtFTSuY9fGHrGxYwsBOm7DLyLHUVtby2ltvsbzQwJbbjqD/kH5svvlmbLv1NqQ2yDq3usUdjfYgTgM5hzN3RygoMQ7BLIAVJ+DYpsIruTit5wPgOd4xgDAKMUZTUVHJgi8XcsYZZ/D6a69x1913M26nnWkp5Ms84TqKHSw2udbfH2/bf277kff7O7bSDF1i4nzxxRe5+uqreeqpp5g4cSI33ngjnTp1olAooJQinU5/JwG6f+w6tuZtW4XQWme0EoxUKY0SAxjHxKFgzSythyc+yjieL095UHDfSx3gw+t3vcLRv5jEJ8s+JudXg9FUEzBqk63Yeffd6DWkDyPHjKJj/47uEApAlHx9Fki7yHURV9td8iwEC9aJcmVUgKcc3luJTSqPShccyuVOSTmml8k4DnLPI45jREE2k+HWO27n1FNPZeJ++3Hnbbe7QKKxZQy9o5DykiX8OsPgP6j2Y6DsO7YStW4cxzz++OOcffbZLFu2jBNPPJHrr78egObmZoIgKENF//m29vrPGW/r+rmtsmGbsr1SXa94ZbJAJ63suMMou6BSfi5Wyowh+RUtfPnel0SrI15++mVampsBDzIeEvrUZtuz++67cexlZ0A1EOOICkhKDX1Jgl6O/cOmFb44tUlJOLg8FaC8wLnj1pH2ecpHKR8R21qz2HZaEbBGu6CfKUW3nTgdwHbbjmLszjsz5dlnmf63t9lq+AinH4YbXON8gVTWsZD+/9r8Cy+88MJve9N3mMx/MK20li4UCtx7770cfvjhVFZW8qtf/YqLLrqoHEDLZrM0NDSgFN+ZW7v1MjpFC08plPJahexEnLucuOWKUvrq6/85QHiJoaDEXKmSqnqFh+ew46IotBRY9eVKln60lCn3PMM1v/4d9975V4rFiExthiabp6nQSLu6Wupy1RQXL6eDl6Nd165ksxliZVC+c50xrt5RW0PBU9jAI+NBRhSeFpSxpJSDbAa4Mksn0J7g6JRytEhKYcrPHeNfkA4QbcrLGpvM4srz6NShIwrF/Q88QBzFjN9jD1KpVCJ47/Ch7pr+Q9WK621b14Tyg3O/17W+XXtfyZ0t7V9b51drzeWXX86FF17IoMGDufSyS9l7rwlosWCcmkKsNamUjxI3S3prY7hNSHNTI0WtyFR3oCrjiPIEUMoSFgq0FPLERqM8Hz+do11lFb6S5Lj88rG2Bn1U69/KzdJBCQNerr9NHpTbH0cxURizdOFSnnv6OZ569AnmfzofzyjGjNqBMduOYcL+e6PaB+xx6F68/PabnHj8Sey42Qim3vsYLz49hRHbj+LM889mw837kanIQsHNvOR8JCW0KEvsKbJKkROLtQYjQspLI54qx/DK1ZDJMQoubmCUOJG9hPErKykKTc1kKytRCrR1FEjK80gFAR/Nns0pp57CezNn8tabb9G7d2+KhQKZVNqVhFqb5P1/+Fa9zmXfOnFma7V/NxTuH9kKhUIZPmetlTAMpVAoSBRFYq0Va60UwrxYMdKcbxJjtRTCvBgbS2y0fDb/cznksEMFkJHbbitvvjVdRESaWwqSj2KxItLQkpeCiSSUSGJbFOsAlq2tWC9fvfJHOXCI67cH3dcoq0IR0eKgoSs+lIcvOFkG1nZw/nFQK133vVBeXigiNpZCvlmscZDQWCIpmLwUbFGKEkmjbpGVYb002hYpSCwFHUrcEoo0GgezbBQxK4zYVVZWvrta7rvoITlw2MEytGZz2aLTFjJh5Hj506U3yIKZ89zxNFoRLbL4g0Wy76i95fwTLpCGL5pEtEjLomZ56Ld/lZ903062r9tSbjzuSinMLYh8JSLLRGSliBQdjLRBrDRLJAVpkmaplwbTKAWJpMlG0mxEjBUHSy2KO86COHhpbMXYUIrSIi3SLC3SLNqGYrURq//+/lrr8KGPPvqoAHLyySc7yK2IxGEk1ljRUSxa6397X/x3wUR/cEZdamEYShiG5X3GGCkWi65jiJYwzktsIlndsEq0iUXEyvS/TZcdd95JANln/4mydMVyia2VlQ2NYhKb/GplvUTGihYt2oaiTSTWtv6uWTJDnji9bymcK4Acdn+jrA7FgZJXT5Er9h4mdW1eB4RsV+m6752yQIyEYUGs1RLpUCIdSmgjKZpQijaUSGKJJJaCKUrRhA4CbcRhuVtEip+E8vhvJ8vRW/5MtsltJ5uzpew/6CD5n3Nvl/effF/0V7GY0IjEViSOpbF+lYiIPHHro7J991Hy58vvErEi0SothSWRSIvIqunL5OqfXiI/qRol4+t2lHeuf0XsIu2MulEkjERW60jqbYvkpUUK0iQtkpeixFK0WgqxFWtFrE4MuZhskYhoI9YWJZYWCaVRwsSov+0ez549W8aOHSvdu3eX2bNnS7FYdONpsShaa7FrYL9/uNu62g8umhBFEXEc4/u+W2t5HsaYcu7YJAQFxgi+l6KmuhbfC7juhuvZf/8DeOWVV7jgogu57557qMzlaG5qpLamCgGiOKKuroaoGKJC8OMA3/htgloxi+d/wvQ3unLIRX/igoPc3jZLaTD1LKvux56n38mMRZqvPn+Rq8/eGopLaX7jUZ760kOlM6B8RCt8HZA2KTI2TaYQkGr0SLUEZIsZMnEaZaFleSMP3HM/R+xzBCNHjuScX53DqqZ6Dj/6cO575F7uevB2DjvlEAZvPxi/XYApaor5AiJQVVENwKolK6j0MlR7DtraPOc+fndUmmyXjvQZN4Dz772Mqc3TeSdexGFnnsT5J53H6gXLIQ2BhpykyKoKkCw6SmGbLRntk7E+WRRKg0rSXoWMUMhYCilL6AtG+fg2RTrOko7T+Pbb47e9e/fm5z//OYsWLeKvf/1rWaxea/2/DFyu/+0HF/0OgsBRBXkuAFWSeSmxlIAzsmymIiEKDDjltFO588476datG7fddhsTJ04k5Qf4OcdJ7aEIEwXJdCpNLpPB06p1ni0PjQFdNx/P6Y+MJbSNvHLe2kenoWYnzr1iG0hXk2vvk2FjRm22Kd2Yzup8Nzp2d4UOgR+Q8gOHDY9wOWHPa2XJXGR56amneOL5Z3hr1nTq8y10a9+Vgw87hHE77kr3nl2prK2gsl1lGRiCAh3GKM8jk86iY10O8s14/W261HZg4969QKB+0QLmfgRh80rCNmewuHkei+lF83OTeXH6VA4+/GCOOPko2nVrR74hJpNO4XlpxEtTYvy3xQIhEenKHFop4iTz7jm0uiO7N54r3QQXoVdfH8cxCXXUVlttxYgRI7jhhhs47rjj6NSp03dC8v3Q2w/OqEuBgzAMy5KupRnbWksURWSyWRobm2lXU8U++07k0UceYtyuu3DSSScxduxYAj+guaWFqspKYmOob6inrq4WvyKHjkMyqaSiwQII4peQXRBkq6jboArTGOKv1S9jDHEqR3XXqtKHaV44n5mP3cJi6hhxyrHspiDr+y6HW1CtpPUVwBLhjfun8sTDT/DZnHm0NDbRZJoZM2FHRo7ZlgFD+tOlfRdqK2rd+wOQECQSvJxj1fRzgausMkIxXyRol0JZWLp4EX069aRrt67gQWQsLc0QdB3IYZc9yE83+YrciplceflZPDrjU2TMFXTRC3n4vnt4YeoUTjr1FMZO3MUZpnEzc9yiSbUL8CrS+HjkvbDEFOai4fgEKJT1W4tQvsMkW0L5bbDBBpxyyikcfvjh3HHHHfzXf/0XmUymjN3//3XG/sEZdRzHBEFQvqEliZdCoUDg+y6vDCxbtowjjjiCxx97hP32n8hZv/gFW245HOV56DhGRKhvbKBdTTsqKyvR2omrizVoY5ycgwI8hTf/JTeYbLRD+TjMOgruBSdOronxqSSz+n2ev+GXnPW0T+bgy7nk+KFUhkBKudk4BSyHl5+fyssvvMz82Z+x/IuvkMiwxWZbsMPOY6gZ0J6N+m9Mp26dW+V4NC4ibkClcUbsCwbjRM5jTdrLkM1WoHzF/OmfERifQX0H0L66DgAv5RQ4gsp29N15EGM2GgQrAvqd4uOh2XDEjpy66yasenMy/3P7XVx07vnMeXsOh+5/OLU966AGvMijuTkkqPGwAYQ2Jq08fOXqzQI8l+5uixL9Dqmo0pLK93123nlnNt98c2644QaOOuoounXr9p2AQD/k9oMzamMMQRCU3bCSAoRSilTCw/X0M89y22238fhjj3DkUcfwi7POoF/f/iBgdEzg+5DJJCLuAmIRqwhSPsrzMKITgnaFj2L1/GkEXkBdG6NeV/PwwHoEXpps40weuepkjr/9E1p2voY7Ljiacd2SNzbAGy+/yvTpb/P57Pl8+vGnFFqK9O3dj70P25+Bm/anZ9+edNtoQwcMSSi7KdUzKMoicVoZIusc6MAPyograx3fNgrefXsmDaub6dK/J+muFVAooqOIVAaKS+Zy3ynH8WlnTbhiHu8sDonpydZbdWLzoe2p6bU/vQcP4tF7HuKRBx9gxqtvs//eB7HjQWPJ9sqQKQYUYkOsI9LpDBmVqEiLcqymVpUuTpLi4ltn69LSSmtNp06dmDRpEpMmTeLRRx/l4IMPpra2Fvg6fIVyTKbr+mKxmB8ACO0HZ9RBEJQDZb7vE4YhIkIul6NYLHLXXXdx4x9v5oNZH3LOOedxwokn0L59BwcqsaY8y6eCgHQqRRwX8RJyA7cGdWioRC3ZrQp9R8DXtqVra6hMJ88rq2mXBkWaKs+yYNrDPHXrZdz+nqXngTdzz4n7sfNG8PFz7zLjvXf4fM583pv1PosWL6Fnr00YvdP2DBw6kEGbDaZP3z6oOiAGKeK4rhWO97oE+QasJxA4FJeRkkyOkFIpvMAvY8ExMO/T+UQi5LrUlgXjSPDh5Ffy/mM38747E1J9R7H7dqczcXAdlWLxqnMMHTOcjTbemH6DBvLiw89z0x9v4NWZr7PPMfsxYsyW+IFPMYS0DZzeQIlArGTBCW7GJru+za6TrE3ZuCdMmMAVV1zBtddey2677UZdXd3XYCtcMQlNc5l87x1M/8IBW0zUlUETJzB+WA/qAmE9gmWss62XRi0lpJG15YIKSfDaQRCUWUdKfGAVFRU0NDRw5ZVXcvfdd6O8gLPPOZtLL3ZgutX1DaTSFWW/r20xh8IjlU6DGKzWqFRA4PmIjfGT2bpd720IkqhxfvnHvDtlCtMXNfLRB+54P3j4d1z5sc+Q0UexS68FPHPTRZxz5/s0bTiaA3ONNL5wM7+bu4zXp0/ngw/n06dbJ4YN35LdJo5nxFYjGTx4MF7HxLU2YCJBDNhA8NMKvxRME8p31GAduYJnCTzPreeJCPAdNtzaJBwNcz6eR9eeG1Pbuc5ZU9rHzziZXCo7suVuB7B1F4OlNz2325IJu+9EH9/iKxALttlQt1EnDj7lCLbdejR3/M+dvPTyVD6aN5sJ+05g/H670alPF0eQUABSzoiF1oFIW9Oq+GHF8YHTmq0oCem13XzfJ5/P07VrV0477TROOeUUpk6dSteuXVsrtxIL9f0AVESxfjZTLryMX95+P7MaSz0qoOO0BegrTmX/kT2oUpb1moNwfcpTl3KPcRw7jqwoKvN6lXKUxhhpaWmROI6lUCiItVaWLFkiZ555pnieJ8OHD5e7/ny3Oy9rpaGxSYxj/pJiWJQ4jh3AwUiZ8MpqIxLHIlqLaC0mKoqJmkRsi+hwtcS6IC5jGMoXb1wrh2fXykEn23aXfyZLJt8sh47sss7XAem+w3ny1iOvinzlABWiXU7XFq3EoZYwcoCTFhNKsy1KXkeOryxMtoTvLDKxFKQoLdIsTdIg9bJa6mW1FKRFIhtL2BQ7AMgSkbH99pBzj7xEFn/0lTtvCWX2o/8th3RAspsMl8vmrN0jtEgsYopW4ryVqMVK1OSeixExq6w8e/czcth2B8m2HYfLRQf+UqY98obEC2KR1SJmtUjcZEXHItpYCWOXkzc6FGui5H46oFCxWCzjDeI4liiKyvc/jmNpbGwUa63U19fLJptsIltssYXMnDlTtNYSRVErXsGKiF0mi/92sYwCoUNfGTVxP9n3wD1lm15pAWSnCybL200u8f/v7uv/mzz1ejVTl9QSS4oY6XTagfmTyHaJoADcyB4EAfPmzeO8887j/vvvZ/8DDuD4E45nxx3GEFtDFBZJZwJXqoeQSbvIaRxFBEGqrDtljZObUb4PIugoJpVy6RoPD6sjN6OkLemajRi25xbM+bKKXMrDUx6FpgJLF86nauVsprzwCauXKqpStWzcoxs1te3wAg88Q1DVkS0nncfIPRzXtjQYp8zoC9bTiDIO/uiViBFAPB9rfadWieO9ljXKn2xShOlEmCMbkyVF2k+BhYWffUVLc54uG3Uj16Eq8Xs9lJ9waRtNuDopzbIJXaf4GElcZuWqoSyCtQZVtOQq04w7cBdGb7MN9/zPX7jvtnuYNeN9DjrkcLbaY2s6bdiNbI2jAY1Ci/Us2UwKiDFG43lposjFQUq17caYcqqypIRijKG6urrMTnP44Ydz0UUXMXXqVHr37k0mkynXuRsLSsfYhiYaAdV7LOc/cCO7kueJAwZx5OcLiIxBvoGHfX1p651Rx3FMKpUinU5TLBaprKzEGENDQwO1tbUYY6ioqCAMQ2bMmME555zDq6++ytFHHc3Z555Dv759iU1EPiygLFTknKBSsVgkncq4dIm1BCJJgYUqy+OIccaSTlcgUQFRHsrP4eMhcUzUKHTptzen3b83pwG20dDS1MKcv83huSee5sW/XMTvG2N6b7QNFx++FWP32p0hW2/mSiCT9TcFMC0WP+Wh0p4juVYGpQyeVxLTs60VWAAYbHkRWtqXlDcmeHEPUOJjtGMjcWgamDljJoVikV79NqGyQwUF43j3lbIY7eR4rVFQ0r1KCMZU8gtGWawnWAxeIKQ9Hx2F2GZDrkcNR194PKNGjea2G+/gsst+w+bPDOeoM3/K8DHD8MM0KlBka1Lu3op2rreJCcOYTCZDKpUqu9Br8Lu14ZGL45jKykqOPPJIbrvtNp588knGjh3LwIEDy5xyCh+TriC7yVDGdqpj3vQ3mfL7J+ix6SqefUWoSB/BXjsOom87vpYQcr1p65P7XXKxm5qaysfV3NwsK1euFBGRQqEgIiJNTU1y9913S9++Dq551llnSRRFEsWRxCaSFau+kkhC0RKKtqHEJpTmfJMUi4UyttgaKyYyInHiAhdEig1FiZqiBLOc7M9HIk2hc2WLIoXlLbJ69lL5cMoMOWPiiTKm19ayWbuBMrLzFnLmfqfIC7c9J8W5RZG8iGkQCVc62l4bikRNInGziEncaIlFbBSJjQtidIto3SRaN4jW9aLNaontKolNg2hTEK2jNTcTSmSKUrQt0iKN0iJNUrR5yUctzsVuFJG8yAWHXyzbdNtZpr88S0REGiMRLZF8/sI1Mqk/0mPYznLF30TERiJxJBK7a2JikVCLFLSRFhNLsylIi22Wom2W2BRExEjcEEphccGdy5ciD1z2oOyy8S4ysmorufLo38oXb80X2+xogvP1BVm1apXExpRd7NK9KC21RByeP4qiVrx3HK/hhp522mkCyNVXX112wcsUzZGRKL9SCu9dIluvsezZRX591yeyIlq/XO+vc7/XK6Nui+fVWktTU1PZwJuamso83L/85S+lR48e0qVLF/nDH/5QPg9rrUQ6FCuRaImBfNDQAAAgAElEQVQktAVZ0bhMQp0XK7FYq5P1tBWJjdiiEVuwYgu2tQgh2eJ6IzafrHWbtJhlsSx8ba5cf8YVMm6TbWWzTC/ZocswOXG3o2TyDQ9I9Fmz48ZOuLp1ITFecT9XDK3kC7Fb0loRrd1xGB27taYuug/pvIhuSbZmMaZFYluQ0BZEm6JoHYkpb6FoU5TIFiSyRYltKHEUugGp3p3HgcMPlYlbHSafvDdPRESaYyuhtiVa7eTCRS6mEDv8ttEisRaJjJWi1lI0oYQmL2HULGGxSURi0TqWQhi570niAqJF8nOa5JpjfyObZ/rIHn3HyDPXPSbxwlAkFDGhlaVLVksU6TXW0qVCHBFxvOht9hcKhTLeW0Rk+fLlMmDAABk5cqRMmzZNRKQcW7FWpP6rT+SN2yfKcJWS7Jgxsn11ldSC0O2ncuXzn0rRdfh/e1///8aoS5U3bUdfY4wsX768PFvvtddekkqlZMiQIfLcc8+VO4KIiDZamgtNoqUoobRIXjdKwbq/tYRiTCQ6LoqJYxck0yK6WUvLyrzYFinPzuEK7UjoW0Q+fWW+XHnKNbLbgF1lUKafbFE5SI4Zfag8fuVfJfqoXsziWGyTde+PRIqNobQ0FiWOjRhrJdKxxCaSSIcSGy1G3L4oisRYW65WstqINVqsicVFmNxmjTuXUJxxG11MDFCLjbWYOBZrI7E2kjgMxRSNM7BmZ9g7bzROfn34JbJ03jKJRSRvRLQV0TqWKCyIiDsGra1oIxIZkdC6LbIikdGiTUGsbhYxRTFxKPmmRikW886WrZWGlqLoonUDWqOIrBSZ99xHcvzOP5UN6CA/2/Eo+eL1he61UESMSBRG0tDQUJ6RjTFrFOm07QOlgGnJUzvuuOPKs3Xp/hdjK9I0X2Zdu7ugKiQ16WlpKUQiskimXdRT+uSQDgdeJ49+3Pp768O2rrberKlLQnSltVQYhmV2z7q6Onzfp1+/fsydO5ef/vRIzj33HPr06UOhUHCpLj8glU6Ry+YwUiSKQ3LpHOAI96MwIvBTZNNZjLbExSKpdBo/45PLZJ0siwemSTB5w+/Ov54Zr73DwgVfoiVms8035dijTmTk6BG0715D0C4gSKcS0nrt1rQoMlUB2sYoFTueLozTufY8EIMJQ1Dg+ymnHd1WIzl5tKrtcx8p8xNBGcXRhkahRInkWevy6bELps19+1MK+QKbbTaEdtXVToZW3KFYFCgPEUXRGvwgKOeR3bc78pNAHHkSShFFMaGG6qpqNFDI56mqqCBTEWCjAoKHygRobeg1aiDX/PUWxj84hT/94U8cvudhHH7IkRx+3KGkN06Rqk4RpJyiqNa6DCQpca6bhKwCKKcySzj20047jVdffZWHH3qI0aNHM2LECAB0vpkv53/siBrSlSzPptiYaqqyHukAVs77goXLV0H/Lt97//1Xtn+ZUX+zzi9luty/hwhK8r/CSwXEST4zW1lJS7FAZTbHRx99xMT99mPu3Ln86lfncdxxk+jevRthGOJ5HplsFm00sYkcZa3yCVIBYRzhK590kCbtZxEt6BZdLngAIHDmsWjWIh577Amef3YKX8z9glycZZMNe3PiCccz4ifDad+jllx1BZmatCPRjxwZXz4fks2l8VKKOCqCFlKBjzWGSMd4uFy4HwTlixAErthfRzHKDyirbiXGLG2vk4DCSy5wG4treyETa/Q8hyATx7rLjBkziLWm9ya9yVZmnei8WJRNBgTlQnLGistJr3U/VYkDTBzjSCqVgnSK2Fj8z57iojOO5aEPs0y45i0u2rWOmpTGWCGoC/j09du54rI/8sBr8yhKFr92c+SBe3j++Sc45vxJjNljR/x2AWkyjq7JB+UptLYUiyG+r8hksxTCIrlMFrBYqxGrGTBgAGN33pnrb7yRZ597lhEjRriB0Vo27N4D+Ax9xwFs+3iOtGeIVn7JoiboO2ww/Tbuwppnuv61f4lRl6h51qTjahu9hRJ8L45C0pksRmuUAmsNQZAitpqiEuLAxxNFle9hlOLm/7mV6373ez6ZO5fbbryJPffek45du4CCTCbAisUS4QUeViCUGGsc/3MqSBOoNMXmiIwXOKRVELgCCg0r3v+K5555lqkvTmXenE9paczTv28/jjvkaLYauw0dunekfacOVNTlyjBNi8N0+FlnV9mcE3GzYvH8ALBYUaB8/MDR7rQarcJLLpIIKN9DJcaqWi8Taz5ViA1AORYWwQnaiTLl9zg1R4e5jguGdDbAxsK7788iU5mjrkuNE2q3LmVmEtUQpRytUiYI/m5Q9taAUyY0Sn4Kf8UcXr3jdI686k2WfFVPBCwtpDCSHKNf4IM//4orf/8/3PVOq/AN+YD30ztQN0z47/+6gKmPvsDxp59EtwEbQoXCOg17VOChVModJ+AFAZEOSQcBLY31VLerAeCQQw/mhZem8tLUV9h7vzkM6N8fXd2LTQ66kptXnsx/Xz6NL0vgk5oa+p5wFldM2pUduuGAOSW47XpYFPIf4X6LAhFLFMWk02mi0Lm+UVQknUpRCPN4fgo8D6s11UGGpijkyt/+hltuvIlCYxOTH3ucnbYfTa62BhuFFKMifipFKp1yfFgI2mq00XjWJ+2nCbQz5Fwu5yCRGurn1fPi8y8y/bW3WPTpQj7/9DM61nViwq57M2zkcLr07kK3Xt2o7FrtFCuUS3VZYzG+daoRic4VIvhtple3dHC57lYM8rq0Lx2MsrXKaE2K4LVhlEpczrdEkm+xLpeNY+ws86GJIkjyz4Tw+YIFdNtwQzLts+48pFX6p/X3Bb/En9b2N5M3CV7yGQ8PzbLP3uPlBz+n4/aHst2KG/jLSwnmPDF8b9Hz3PXAY9z1jsfgbc7h5LNHE3z8CPdffisv2Fl0n/ggu/V7mvtvu49PZn3KgT89hN33H0+2exqSOpdM4GEBa9zs7CnBmpjK6kp0WMT3PEaO3IbRY3bgjzfdxH333svFF16AqqyCyuHsO+n3DB61kpW4+yU1NXTtvRlDutaS8QzGrGsSWn/av8SoJenX5aWgKv9XegckQIMwjpJ8pAfKc66cnwJrSVtFdSbD4i8X88tfnsvDjz9G/wH9OffcX7LrXntixRJqixiFH2TxfR9PuSIGK4KvfFJeGqU9V1udnP3KeV/xytRXef9vs5j/6XwWzF9Iyk8xbIth7L7/XvTdtDcDBgygqkON61VeUnGlDcpPcqee49hyxlUi3/86N66UY1Vf02nWtfObXMJEO2oN97t1kklsE2vEqWUYiPOWLxd+yW4770a2qiSO9XXHLOVXv+l8QKjssQV7/OoGxm3Umc+uuYG/rPWN+pO3+eDThdBtX/Y7+RSOm7AB0eY54tf/wnPPL2BVrjuHnnwE/TcdyCP3P8qNf7yJZ1+awtEnHMXIcVuhsqA0TnY2dl6HUgrP97EUwBjC2OW4DzjwIF6e+gqvvvwKXy5eSocO7bFWqN1oa0ZttI6ztAaTjJ/rqT0D/8KZWpKSujKOv7RTtekwgY/S4Ac+LcX8GiydgR/geQGfTn+H8399Po8/+xT77L8/J5xxKqO23pbGOMRPpcsSLJmUj2jQBRf4CQIcIszV/BEvaOatadOY9c57vDvjPT6d+ynZXAWb9OnDPgfvw8Chgxg4cCDd+3SDLA4HbctsvFjPll3nUvOUl4BCvmt3+L66TttIWpvrWcKy44o3TGzwMgESC18tXcaqFcsZuukQFzBMdK7+N8dgjU/NBn0ZPr4vNH3Joujv35Uv5LGRIdO/O137uWqqINuBDXt3hSdX8eb771I1YWvGHLYTPQdtwtOTn+H+++/nt5dezrgZY/nJ7j+h9/B+eJ5CQo1f5TD3n8yZQ8/ePcnkaohMTGQN22+3LeP3GM9NN9zArbfcwoUXnE++EOIB+UKRTPqbWWDXV8P+lxl1CfHkXO1k59prFito62bUUGvSmWzC9gmxNUx/8XkuPPtcXvvb3zj5hBM49fQz6NGnN4VCkWwqQ6GgCVIeCp84AqXFFeEnaovh/CY++/Rz3v/gfea9+xGvvvIqhSikV5/e7DpuF7YYOZwhWw6lW7/urlrJABbCohApTTrriio0Bt8IQRsraFu//e8rzv/7WVaVZmyV6GRax5b63swZiNX079uHTCq9pif1zzbVCuUtxmadwCwH8wXRlqgYAzmsiSmVRolKhsUIem7ek+OHTmLA0P488Jd7eOCev/Lu29PZa9+9GLXzaOo27oxu0TzzzNPM+XQOXibNNjuMYtPBm5FO+/jAuLE/4eEHH2LyE5M56xdnk81myOeLSbdrE21c57VcH036X+h+uwBOsuPvvM5SVZRQDEOymSyZTBZrFWnfo7HQwlNPPskvzzubBfO/4NcXXsDJJ5xI+w6diJsKeICNNIEScmm33vI88AJFYXmeBfMWsPDDz/l82ke8+967fPjZJ7Tv1ok+gwex/Y7bM3bsOOp6dXJrZA83IzcLEii8DHgpENG0SESgfEDwPX+NCHNbQ/5XG/XXkQqUl8fiqIN83629dax5/dVX6dS+PZ27dmyFqP4LmtYWa8EL0qQzbpa1SXyBwKd/z40xJdXbyN3HHQ/YkU2HDuaRv97LU489zu9/eyWzZr7L/sf8lMpcJZf++r857tSTOfUXZ3LC6Sex8cab0LGuPQLsNGYHDj3kEK699lpuveVWTjn1BLCWbEWuDQ/72kbdNoi7/hn2vy5QVpqp19hVmhvc9C3WUJmrII5cWWPG9/hyyRIefuRRrvzNb1m5cjnXXHsdpxx/As35AvUNjdTW1qAjQUWWbKUPMej6Al8tW8bKBauY+dpMXnr2BRbM+5yqigq699qII0/7ObuM343uQzZ0RhzhAmUKJHYKjCoA8QzGCnhCSjnlCOUZfOvje05Gpu0J/SfR55QMWpHwjVvjuMR9N1PPeu89Bg3oT7pd5u8TEf+b301YRzKZDKmkWtRPZUkqIanMZQlSUKxvpKUQASlUSyML5tSDgiBIEVrrVC8rIGrUBNajY7/OHHvmyYzefjvuvecenpz8JO/NmsUOO+9EvrnIyOFb071rd7p06EraT5FSYCKDn/bZYfRobv7TzVx77e855pifUVlVQbEYk0r9R8SJv/f2L81TK9Vm2VamuGhd96VSGaJI09zcRIcOdaxasYpLL7qYP//5L/TYcCNue/h2frLLjjQ0O56xyoocFgiLBl80yz9dRrQ05N2pb/Ly08/xyZxPsJ5Ht149OeiYw/jJ+N3otXVP51pbyK+2eL4inVHgicuDKgMepFJB4iIWSGdS5IIUOd9D64hiVMTLpFCeC8DBmm63yPdkId+xlX+tFBgrGbSo1oHTJO9UCpPXLFm8iF12GkdQFTjGlO9hPFIexC2rWLV0KYu/Wsznq9z+VZ+/x3vv5ujRewg9+gxho67d4OU3ePGpx9mle18W3XMPtz9dj7/BZmw9qBOoOAHdKGIilErhFRT4igE7DuOC4UPZ9omn+cP113PF1VfhZTJcdcVVdGzXgW4dupHz3Fo5LMSkjLDtqG0549TTueSyS7nrjjuZdOLPHaljyZMpn7stX8f11/nm/6agowTnLD9at8XWSFz621jRWsQYt+nYSlSIJSoaESvSuLJRRo8cLT6+TNhtb/nonY9ERKTYaCVscpDDaEUszYuaZdWCFfLE9Y/I0dseKtvVbC7bZIbIwX33kJuOu0I+m/yRyApxsM+iiM2LFIoiLbGrxYhEpBiKNDRGUihosVZEx0biMCHot0bEJhUMUUFMsUVERyJWizVGdBvC+RJGuYRRL9V6f9P2fUAFY23dZrTERovWsWgdiY1jkUi7IoyidYT/TSLz3/pE+mQ3lsd+/4BEy0ORVSLSZCUOY1f0EscSx/8oIb6ISCRfvHGjHNNx3bXio38zUz6XxfLMKRNkq7Vf79BPBh77hCwVKde2R3EkOtZSbC5I1FgUWzQORtrs7n+4oigXnHqBpMnIwXscJkN6DJVhfbeS2W9/7IpWStziIvLaC69Jl9quMqjvEInz2tXJh0ZMZEVrk2yxxHEosQ4lNpFoE39j//5P2P7PYKLW2nLtq9a6XN+az+epqqoq18KmUilirR2LhbWIEYKUq2e2Re0ADWlY+vkStho+gkWrF3Hqsadw9rnn0qVXVyhCyhMkFpqWtPDRyzOZ+uyzvPH668SxpmuPrpxy1pkMGT6UPpv2J9U5Xc726FCII0u22qfE5KNIgr5pyKRTqKQu2AuSUL2RVo4dASQJjcUk5IDKaSG3YeNIBkqAMitL231tH7+voForz56r/y6jzgQcNYnnUGdpRaElz2uvvU51dRU9e/fED9rIBbU5h1Ld+rqOce1zbf2MkMpUUNMJVGOObJuvjgoFanOWYuMG7HLFtbBRlgv+cB/TvvBpv1F/9jr1cq44YzwdjQFrSCfYAsHgZxwJWyJZDykHiknXZph42MFcce1VNKxaTdiSZ8HCeSz8eD79B/bDWJdb9z2PTYdsypmnn8nFl1/Mg/c/yEFHHEgURXhBQBD4yTl6tOSbQUFFrgIrkrCwtAZE2/Zlz/O+RqL439u+Fy0tz3P46WKxiIiQyWRIp9NlKtc4jgk8Rz1TWVWFJyrJS3uYoquhDSrT6KJmyuRnOPDQA2jWBe656W4mHLgv2axDbBWXFZnx/N+Y/MgTvDNtOlG+hd4bb8TKVStJ11Ry/sUXMHfJF4yesAMdN+7IqtXNRAba1VaSCRTaWvJhES/rYROSAb/NYj8gIcPDUdh60oaof81gAMZaR1TQFuHVJgIOa7rha79Wev376BCe7yO0GVhsoscl4qRj8fGUC5Kt+HIp55xxFnM+/oQXXnuFtATgK6hSSLpVt2vtQQhaKYXWPvZWo3aaYmKtM4iEYqr8XqVIf40xlAcQLMSW5MCxHk5ADw+LhygPozVWW2qyaeZ9/AX9B/Zhyz5D8Yxi+eKlBL7PUccdy1En/YwuPbtACORgxpszGLPdjvTt25vX33qTXFUWAii05MkXC1RVV5JJu8V/MSoSx5rqyuqyIZci+yX++BIX3r+TvfT/TMo2iqIyE0mJuK9UnB6GoSPS9wNS6TSiXQFAsRCiPI9szqGZCvV5rrvqWn5zxeX06rwxz055ga59umEbIl59/iUee+hR5kz7gPzSJoJ0ljG7jeXoE45h7pfzOfr4Y3n2iWfZafcd6dCuA7ds3puOXTvSvqoKfChERZqKMVVV1VTmMrgukkTcEZd7FkHEJuCY0mwubVb8riWgrQTC+c3X5dsGQ6XUt3aI7yJOGOsQq1oHKJVEk31xM5COYmIdk2mXRadgyYqvqOvcHpVWkPGSmd2g9d8PUl/nTaxrn4ibyUqf8TyvzFziXm8zCCjlAo2tny4PRJRIHJwzVJbLLfnqfhCgPGFFc54FSxaS8bNc8N8XsP1W29K0ajU3XH89t996Ky+89CInnXwy4/cdj5/z6dWzF2eecQa/u+5q3n77bUbvtB1LvlxKp84d6VBZQRgVCeOEm9xTVGQdWWWJxLLkjZbu2X8qFfH3YtSe55VHMBEpG3kQBGVaoagYk0oHDoOtDbnqinLUbNXCVfz6V7/kvgfuY9+99uX3V1/DsqXLOO/Es5n13vt8Pu8z2lfVMnrzbdj15F0Zss2WZDaoAN9j1hvP8UV+GRtvsSEbD+7HPnvuRZ9N+1AotiBaU1Fd6XLVgCcaG4YEKZ+kdAlPgVE4FhPPIa+NCMZqwCHSSul0z3PerKdAx+JmE2QN42zLztH27//LPLZK4o0l/mxVkrRNKI68IHAmEUP98pUsWPQFB+x7AF7aLSsk1tg2OIxvcr2/6dhLM/O63PXSZ8uzs/w9L3ry62ASrmPrYX0wnmC8EpeLk7T3PY9sKqCxqYFMRZodx+5IRXUl1d3q+NVvL2GPffblqiuv5hdn/BdPPPY4Rx//M0btOor9DtyPi666iJNOOIH358yifbtaAs+ZQZByE1KsNVYEFfik8Vy6DTfAFovF8nX5d8/SX9e+t+h3yZjjOAblUVlRAUAul0MXGsHPEcWaTCbFitUrmT7tb64MMoy56fobeevNNxg2dEu6du3GwYccTsPq1dSvamCbrbfh58f8nAGDBlLXuT217WsJqtOQgkJDSLY2Q6hX8N4HHzP709k0PthI7017s8OobamqqYZYE0QxAR4qhkACsK6wohT+9EuFEGU8mCLwfUS8shxqKfmWFCQ5eGiyYG87E63L5f5n3WxJGDO/bRCw4jSjSy4v1rgiDgFlFUHg46V9Bw8Vy4pVK5mw3954gc/Kxcup7VyHCjySEPnXegff1oFLHb3t8a/hfn+nc6bMt4ZyM7Yn4NvWWTu2hjgOSXspxowZzWtvvIyf9WnJN1FRXUWupoKRO23NjX1v4MmHn+TBRx7ktBNPZZ+J+3LuBedy+/W3c+xJx/DcU88xbvw4dGQoNOYJ0n5SeOMRpFLEOsYXD6NNmVqpdH46iQ2tMVD9h7TvbaYu1bzmKiuRxmXMvvs0Trrjc9Ipn53PfZCfjUxRl4EP58zh+uuuZ8qzU8gEaVJ+wIqly6ir60hFRTVfrVjBdtuPZsSWI+i6cRe6de1ObZdapyG1Vsu1zzDxoAlI+k6eePxRrrn6St6e+Q49evagusIBG0inUelWdIUqn/KaetIq2fP/2juzILmu8o7/zrm3b3fPvmg00mg0mpFG8iIsy+CFIEOK4AUnD4RAcCplTBJXlgeSFEslocCQSkEeHDBJQYIxWSDBKFQRFuMFB/CGjDCysRbbWmxJMxrPWJK1TM/S6z3n5OHc233V6lnAY2u6c/+u9rR6uVvf73z7/3OqX6yF8MOvrq5yyeCKhYfeZzNZfvi/P+ILX/giwnWZys0gPEFXXzelko+XcM/jLn+1qCXkC36n/Mx+TwavRVs/PSHQCTuaKJFKsvkNm1G+RiYFSiichMRJuKy6qI/f/+NbuOxNW/ifb36Lb3zt64yOjLD1yitY3b2Ku//ly7xy+hVu+q3fpGtFJ9ncbNnqVMon4XoILVBa4fs+WuuyKR6OcEokEsuqPgGWKFBmgkkYQjh4Hhx74V4+9Pb38O1x+37PJ57kqY9sZaDD4zOf/Rx3fu5OzhyfIAhNkUqkaGtqQSBpa27lxutvRGiB4zm4wsHFIa/yOK12QFxmNkNCuvSvWUNuNsfszAyjIyO84bItjI2Ps6a/3xYxFPIkm1I0NbdQLJSYnZ2lOd1K0uptCKrOhCPsFB3HYAS4joMbmKCOsDzfrrR/HWGndBSNwoiK6xH+2OHz8LqFpnn1Z0QwICB609e6rqlUamETT1Yi6VLKoDDGMpk6ToLsTJZHHnmUL931JfY9t5uWZCvXveN6PvP3n6azq9NqR8+x1yAonwy3Fd6wUkq8YHGsjtxH/0ZHHi0n5I/n2PGTHez6+S72PruPnbueYDo3Q+/qXi7efCkf/auP8MYr32jrFtzked8PrQ6tdZnNFC68X/2aBcrCH1m6LugJpvc9xLfHIdnUzHVds9y//UH2/8XFDODx4osvcvbsWZA2qOYXi+RKBVY291AslJiameJ7932f7MwspUIJgSDtpcgVZykl8qi0olAq4jkOKc9D+3Yq5eqVvTz28MOkvRRFXzGTy2FcB+1Iihi0FKB9UA5p4+Ea7IwNYQ1vLTQEPciOlFaojcCVtg/ZkQ5uICjIYHJjRJCij+qSUVHjc9FA0nzXNZlMzn/jCBt1JrofIRGIQLBdisUSIyNHGTl2BJckhUKRBx56gOnZadLpJlzPwQgd/I7nHnNUYKMNNlG/O3qe0dhC9DPVMYfa52Lrh51g3pkwEol1LcL+7UqjqrFlx0KghcHHgCtQGPAhrT08ZWM80pE0p1uQSF44fIhdTz3J2cwkWT/H1OEp9h8+wKo1vQxtGKS1tYXvff9e9h/YT0dHJz2dPVyxdSuDg4OkUqmqw11+ixcsgVCHnMwAroSp0ZN8754HgRZcabj5cnjo/u08dvjPuboH3v62t/DDB3/A+LER/GKRjs4V3Py+m7nmqqsxvqaQz5OZmqattRW0QPklhJD4qkhOzeJLHy9pObmnJjN4rmd7mKVDPpcjIT185aMAN5kk55eYyeeQnotIJFD5Ek7BII1BG4XRBq19FMo2FRhj01VaV8gdgii4CHpINeArXfbBQ1QbPaGFE309+jxM+c13c0SpfKL58HO2LSTG6KC6LTgqbZBIPNdDKI2jBRKHBC4+PkWVZyqTQbqCzEyOkl+quZ/oMYcUQtXHED2WqA8darboa9VxhnO3FcY2gve1wAR5a7RBGG0jlcaepQriCFoY+9fVlr1Fg85r0iKFl/AAg1/SlEyJlpZmmprSTPnTuLi0tLQwOZPh+eef58zps6xetZoH7nuAXU8/xQdu/QD/+q2vsHbtWu6++26gMpwvykG/3LBkxSeO46Ip8vjPfsKXvzMGqV9D5XcysGUdPHiQ7/7gCB9Y38Itv/texkdf4v77HgAheNuvv42PfPjDdHd3LcWhLCuEi91cCG/4uRAOgYsKT7Ww2A9aH89OtVTYmTwaB5e010R2Kst9376Pz3/2To4cP0KL18q2N1/HJz59O6v6V5IrZCmV7FCuWsIWCnX1/sObO8oXFgaOwtejOV5jKoUc0W2F71fOR9j0orZsLMpXaK0sY00g1IZKYFAbE8wMU2hlF+BivkBCJsq59UKxSDaXpb2tldnZWb6+/RscPvwikzMZAC6//HLa29spFksYZehd0cvw+mEymQyrVq0q112E8SPXdcvnsNwE+1ULdWgiFos+Dz/8AHd/5YvkZQ/pK9+O3PVzij1vZtgdZf93tnP4fUNctLKbj33sY9x6660Ui0X6+vos20mxRvNtiCD0HJqurwaCStPBfOe0UKhhMccxn2m9mPeBsh+7GFSWB2UrsXABSUd3J+9+z7s5+OwBtn9zO7/zrnfzl3/9IYdPJNMAAA+JSURBVDZu3WQXAGFYJiQ4rwsyUxmGhtdz1113MTk5SW9vL7fddhv9/f088sgjjIyMkMlk+O/t28lms9xxxx34vk+hUKC52U5PcRyHYrGI4zjLbtD9kkW/z549y4P3/pjv//gQbvda1q9rY/xpl099dz9XasGLe7/O1558P0N97VzSZujp6Sn7aUopOww+GJNyHpbwehkI+M9e3eq6mKKQhX7oxSwe1fnu6HO71gmUFhij0EIjQgYWpS2/Gx7Cc8hlc0gh2Xb1Nv7pn7+A0+miCgpfF8AFy3I0f066eph7te8dauXq92pta75rFL22tfL7tYpZqrcTjmOKxi1yuRyu69Le1s4tt9zCtm3bOHXqFFdccUV58dy9ezfT09N88IMfpK2tjUcffZRMJsOaNWvIZrPl4Kfv+6TT6WVZJrpky7OTTLBtUxPjm+Cbh8Y4dM/fALDz8b3sBOAkj+84wJl3bKaYLKBwSKVS5TE6YY34fFhKM2e+H2Ix+1mMUC+Exfhk0ZEz4d/zvhP5jCwXSkClbQtePnmcn//sSd6w5TKcLhc9pZktzNLa3UxJ22KhMKU1VwVZNFD2q55P1MIJTddq332h/UQXulrHW+v1MDLv+355Zvng4CDDw8PnfHfHjh309fXx1re+lXvvvZeVK1cyOjrKpZdeSlNTE1prPM9jenqadDq9KGvr9cYS+dSwsmuaXneS8UOAl6LZlYFvZBBCU5zNc/yHj/Hsn1zLVQP9pIOSTCFEWbAXMmmXakVc6IdYzH4WY34vZnFYzL6i2mBRNeTaBIGlMMsLU2emeOXkaTYMbYQsyLSkrbmNkioE86psE0u42bmi1PMF00KtON9napXG/rL7qd5GtfBCZWEoFAr4vk8ymSxHr0NfPhx7HGYYHnvsMSYmJiiVStx+++2cPXuWT37yk9x0003l74Qa3fO8OSvoLjSWRKh9Ad74C4zue5IdqY1c+vH/Yt9HNyOSzUxOTtLZ+Qy3D7yXO8bu5/Fn3s91b+pn0M+TV4bm5uZInnv+i7NUF28hiwAWFralOJZaN3itz1Sbm9XPpZRo49uab11hSRPC1qiTg+OjE3iexw03XG+d7xKU8NGuKXN7G23Tg2FZZPX+o5hrkYle2+prGJro1eZ1LbO6VrPHXEGpWmWoob+bTCbLbl2xWCwHuxKJRLmbcHp6GiEE11xzDU888QT5fJ5SqUQqlSpvL5yyaYwhm82STqeXbaBsSTLnnoATh37Bjof3wMpe3vfOa5CpZmZnZ+ns7AR+gxtvdmljjPsf3csLoz5OqslS81IpXqmOvNZ6LAWq88q18syL+cxCj7DYZK5H1A+d6wHn5oBrbktWFgdjDGhL2CuNJVo8c+o0o0eP0drcTmdHFyRg8swkiaRL0kuSK+RBWO3mJtzydsPimPCc5/od5jr/Wsdbnbuu9r2hIkC1oufVi0kU0Yi953nnLCJKKRzHunzhe7lcjmKxSEtLS1mL+76P53m0traSTCYRQvDSSy+RSCRIp9PnLC5L4YK9FliaijIEhZnTzGTOUHQ7aGrvptkp4Xlh4Evgz7zM6akifrKL9pYUrUkXAtPbGFNOGSx4wMtkVZy3iAJ7gy0mRrCYLq3wJqolAOXPGYPSCmFs2kdogUMCkZTsfWIPd/7d5xBI/v1r/4FoE2ip8dH4soTreHjzFcFgNf9CeffwnOZ6zxhzXsVZrUW72j2qpQ3n09jh80KhgOM4ZVM5RLFYLC84Ukry+Xx5v6H7EE25hY1KoXYPffPwXC5koOw1qygTRpNs6aapbYV9QSuUiQY7DIm2Pla3Bf/Syga0jTnnB1wuArsYLFXaazFm/nz+c/h+Lpsl3dSE8pXtOtEQ0oqPHxvn2MgYN9z0TkS7AAUyIW3PuOPiyr3c80ef4j9/eojxtEcCwC+Q793KG2/9W+65dVPNiHT181rHXn2uc123Wm5GrSDaYq8bUK7Lrt5n2A8dvhf631E3IPztQsEP8+jRFszFHsfrjaWJfgs7Z8KOdwFbO1y1cmodyUydf1Msx4tTDwgtISmlbSM1BsdxMcpWxwFkJ7MUC0XW9q+xzKFFAqFXIB1gluPP7eEXB49yKrrxZ2fIXjt13j5/Vfyyi/arvSfOcUlqHMd8pnz1QhoV+OXoR0fx/6fioIER5vi1VhiM7Qs32ga8ZuH0idOkU02sX7+hkvM3WI5tY0A4uMkEkGLzu/6U3/vtbQw7s+TTPfRcsv5CnlqMXwGxUNc5rGlpI7rK920XWfifIzk5doKRI0fp6uxm08aLLHOoZebF8RyUsG0SoCnRwvC17+W2P7iW1ZF9+Eojl69iilGFWKjrHEIIEoGPaAy40preQkpIwOjIKEeOjNC7spfuvi5LmugDnu3usqE8A0g8pnjuoX/jH/RuBsQMonuIS976Lm7YmIy4VjGWO2KhbgBIIQMfWtjJoLkSMgjkjB17iZMnTnL5lq3QAuShTPJgQAlNAo3BIUmRF3/0VT7/o6/aDbdezHu+fCM3bEyxpLW6MV5TxELdIAjpdWxrYmhSw4mJ42ilGdowVJ7YGc5Q0Bq0E6Sp0PhA+9AWLhpaTauaITl4NW8ZWJhVJcbyQizUDQIh7DhX4/uWy9sVmEnNybETdLS2c8klF9tKMj9IdQnbvVxxlRU5urj2ts/yjx+/nkpFtO0vj13q+kEs1A0AIQ1u2MjhG4RrmU8zJ8+SOX6aFV1drFs/aNNYBnwMjivQRuAFQ8SsAjeU8jNMFQFPh30isUDXGZYHc16MVwFL9eH7RUAFs8UAAWOHjpKfmGRD/wAdPe0oH0Q7iA7BFIqSMEhtHWypIWQeiVHfiIW6AWBQSAeMr5HCJdVkdevRA4eZeuUMq1f1QgfIFBgHikLhowMKJwAVxMGqO6pj1CNi87vuEeH+0qZCcWzgyIujlJTPmsE1Ze5jv2RQUiGdYD03Jcht4c8e+AV/CIhkkqRrWKa9CjEWgVio6x6WNVT5GieRgJKwWncaMpkMK1b1sHZoAADjG3ztg2dlPKBEAOmRaEnbedLGlMfzxqhPxELdADBIhDCVDg4BE2MnOHXmNGuH1jG4fgiK4CuDkdFGExV8x4WA6C8W5/pH7FM3ADRBmWi+ZFlPHNj/3HOMvzROV/9qUms6MD4ICY5jx+8KNMaELKA6DnE3EGKhrnsYlK+txKqKnn1u37PMzEzT2b8CWkE4gUBLO+9TAg4hp5gp0+7GqH/E5nedwyDQ2qCVQHqWeAJg/OgYXspjxeqgx90BIS2fNsYghbDNH66MBbrBEGvqOodAIqWL8nUwuRI4BacnXmFg3ToGBgftMEtjs9AmGDMkgnE2hqCqNEbDIBbqBoDjuGhtCN3jk4fHmDp1hqHh9axZ12/jYSFnQlAiKo2xwbHwEevqhkEs1A0AKSTSsaNdMfDC/oMUsll6Vq0k1ZkGWbbKCed4OKYypD6oO4nRIIiFukEgsL4xHux95hl0SdE30AdNRBxmgwlpeYx9WPNbntPaEaO+EQt1ncMIOxTSPgFcOHTgAJ0tbaxYZYcOKg0ENSlhZ1ao1cOvxX514yAW6nqHkWhju7LwgVk4OfYya9esobe313ZlaQjncIeijamEvGOBbizEQt0AcJzAZxZw6rmXmM1Ms2l4Iys7VqCUbeI4z28OZRvQIk5pNRJioW4QaA2kYefOnaiCz4b1G0i0taAsWSjzlXObyCNG/SMW6jqHnZwBumRAwP7nnwcjSK7qgrSNcAvH8vubwPyWRldtQYYl4zEaAHFF2TLHwoT2NvnsJmzEa8+uPWy8eDM9q1cRkJqgVMhFpnFRtgtTCBASiYNjBMIE5aKxvq57xJq6ASAFCA1kYOrsFP2D62jtagscZtvj4WPQaERQTWZVsyUxkrEcNxRioW4ACCzXwZmjJ8jN5tgwPEx7dzuUQCpwylIrKo9w1m2MhkMs1HUOYUS5rXLX009RVCX6Nw7htifBWC3uyJAZ2Ap0rJgbG7FP3QAQGkjAEzt/SktbK619HXYQnrb8B1VDYM/9lwnc69fvcGO8xoiFus4RCiUGdu/ew8DgIE0dTZWh0sF7lkE47KSGqJEWR74bC7H5XecQAAZKp3wmJk6wafMltLS12uoybJDMaJu0Ch+mPKYjRiMiFuo6hggKuo02HDk4QrFQYMNFw6Rb0zadFVSaSaxGl4AJRvKYSBWZiDR8xKh/xOZ3HcME9dumZHjh+YM40qG3bzVek6ULNVjqYEeGHVnBEHbA9mNKQr7CsCUzRv0j1tTLHMYYlFIopdBa25lZUgYD7jTG12it+cnDj9He2cnA+rWIhADHDs3zS9YOF5iIRpbnNHGIWEE3FGJNvcwhZUgOWPW6kAhHIJSEkmbi2ARr164l0ZmwM7MEJJoSYBQoHyEqfnRUY5fbMIm7tRoFsaauAwghyg+wGlobXQlbn4GXxya47LItJNMpjAQlTEBRFPAYaeuDGyRa2M6syg5i07uREGvqZY7Q5AZrimuty2N2HMfBKMPYoRFyM3ku27KFVDKJSIHWCr9QICEEjutZl1mHUbNKy6UTMvjHWrphEGvqOoQxJmAwEfhFn7279+IYl43DF+E6nk1jSY0RumJSRwX3PB861tSNhFhTL3NURuRUzPDwNSkleT/Pnqf30NHaxoreDqQHOaVQUpP0XFwtgmZrpyzYRoRaOtiwCf4X14I3BGKhrheU6X0FIhgwjwC/4HPg2f1sGt5Est3WhPpGYYS2wTFhAhKz8+pFg+1Gmz1iNAJi83vZ4dyiTW0MSmuUtiktAIlEGhnMmxeMjo1wyeZLcVIu+bzGEQ6OcPC1QitVs7hbRCtP4jrRhkKsqS80Qp7eaFtk5D2lFdpYBlDHBMUivkGXNBLJ6MGjTJVmuHzbVlzjUlQaF2k7p43BB9ygSyt0q2VkQKYJC8fjaFnDIBbqCwgT8vQKAuYREckZBy2S0iaiHATSWIfYlAyiBPlSjqd3PoXT4jGweRDpSDxPYtBWeB0XIwyKoOEyUMqOqYixRoA0cQFKAyEW6guEUKDDWVZh0KpctmlAC4Mj7Xh4iQBlMFojhQMJyJ/Nc+DAQbpWdpNq8aAp0o1lbNWYEhptRLkUVBh57n5EJNMVC3ZDIPapLxQiAjSf0RvWgAXj7WxcywESkMvk2LdvHxs2bKC1q9V+QZtyQA2ETX8tJhgWC3TDIBbqC4QweyTKfc6ViHb5M8Hfik4PaMXscGlwBS2drVz1lqswzaZcD37ugiECxpO5RVogapaixljemOs3E2ZhusoYMWLUEWJNHSNGgyEW6hgxGgyxUMeI0WCIhTpGjAbD/wGNBCvv/nEY4wAAAABJRU5ErkJggg==)
To obtain the radius of the incircle, we know that the points D, E, F are the perpendicular bisector points. Hence, the angle must be 90 degrees. We can now apply Pythagorean theorem to obtain the unknown values.
In the given figure P is the incenter, find PD
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPUAAAC+CAYAAADtLknKAAAgAElEQVR4nOydebwd8/3/n5/PZ2bOcpckskc2SWSPBCGRILFvpXYttRTV0mrQ5dud0tKqKtqipCiKWitKEDtNUVvsImonCVnvcs6Zmc/n8/vjMzPn3ORm4Rda7XnlMTf33nPuOXNmPu/Pe3+9hbXWsg4YY9b1lDrqqOPfACnl6r/7N5xHHXXU8QmiLtR11PFfhrpQ11HHfxnqQl1HHf9lqAt1HXX8l8Fb1xMsFi01AAIAiTQCEO6frX1u+tVgBVgBgiRybgX1PaSOOj55rFOoDYYSZTyU+9lAQeZBC+KyxpMSKZ24C+G+WClBRBhhMGhA4OEhrNsM6qijjk8O61SdFgiJKNkyFoEUCmstRhukFEiEe1J6QKK9LRYn1AaDZZ3p8DrqqGMDYJ2aWiEpUiSMKgghCTwfayxCCjxfoCMDFqSSgE0UsQUk0joj3X2V1LV0HXV88hDrrCgzoEsWowxWWDzpYazGCotQrtpMCGeCW2wHP9uZ29lbYUVdW9dRx4ZEZxVl69TUWFBaoHwFYfKrQGAxlKMyypdIKdGpQCORKKRVYAXCAAKsTF6sjjrq+ESxTp+6XKqw4NnXaHu3HSqAAWkkvufjKUVFVwhNBUOMRqOxiUZOBNoFw+vyXEcdnxLWKdTvvvEu3zvyR9z6x9tY/P4H7i8qYEsGHx+FSlxpmWjqVZCa4hv81Ouoo47OsE6h9nwPTYXf/+63nHbyacyf+yqlSjtxJaZ1eRuBDmhQjSgCvETIRfqyMjmSnHUdddTxyWPdgTIL5n3D7dfexvkXXsB7C9/nC4d/ga+e8lV6D+5NpRwilcTPe9WslkhfvOZlBEC9hbOOOjYkOguUrVuoNdAK1lo+fPMDLr74Eq68/AoGDRnKySedxE577kC+Rx4EmNgSliMILPmmHBZoD9vJB3mMNigh0VpjjEEphVKKOI4JwxAhBPl8/pP55HVsEBhj8DyPlpYWGhoaKJVKBEGA7/vEcZw9Xsenh48n1IYs6k1kiUzMy3Nf4ozTfs7TTz7Nrrvszik/Oomhk4dAGVBghKUSVohVSL7oBNVEBonC8zyEEGitCcMQay1BEOB5Xp2M4T8cUkpWrFhBU1MTbW1tFAoFPM9jxYoVCCFobm5Ga73W1xCi7odtSHwsodZxRGvLCrp07eEEvOS0duv7rdx5491cdsnltLa3cchhh/Clrx5K15HNLpCmDRQgFhFhHJFXeYTLayGlxBhD+tZCCIwxnZ5gHf85CMOQXC6XCWapVALA932EEKwHiQ5CiLpgb0B8LKG21hDG7VTCiKagAWECSktKFJoKhKWQV//5L668+Cruf+g+Bo8czJHHHc5eh+0JOYhaQwgMKudhNBjtNLHWGmstvu/j+z7GGOI4rptu/+EQQtDa2orv+wB4ntfhnllr10tT14V6w+HjCTUWTYiJY6RReCJHXNEuym0FaPhg0Yc8cNcD3HTNTbz5zhvstPvOfOnowxg5caQLmsWgZYzwZbajp4ItpUQplVSm1W/2fyqstVQqFYIgQAiBUorXX3+dRx55hBUrVtDc3MyYMWPYcsstieN4ja9TF+oNi86EWp122mmnre2PrLVEOiJQObTRWAtewcdqS1yJUAVFQ88iI0YMZ9ORmyKN4P577uPBex4ir/MMHzgc2SiRShKbmHK5nGnp1OxOF8n6mG91/HuQCmMUReRyOR599FFOOukkisUiw4YN4+6772bRokVMnz59rbGRulBvWHR2Lddp7woEyvoYLVHKRwDlSju+76M8QXulBU8HBI05Np++OUOHD2XU+FHccc0dXPTLi3j576+w2yG7seU+WzhT2xp0rDHW4Ckv0drxGk+wjv8ceJ6H1pq29nbOOOMMjDHsvPPObD5hAlrr9bp/9Xv8yWPd0W8AAyYGoUAoS3ulzbVdepKwXEZJn7wqIGIJnoAY3vznG/z1qlt5/IHHMYFh50N3Yod9pzNk9DAA4tD50FZYwigGAb5K95gkgJZ+sZ01bq5pcQhWr0l13WOWNHdeX1gfB6mWvueee9hjzz254vLLOeyww4i1JooiBBAEwRr/3lpbF+oNjI9PEWxBSjDWRazzuQLGQhTH5AtFAt/HCAO+gNCChkGTBzPjNzM48dQT6dqnmct/83vO/95Z3HvtbKIPyni+hzWgjQDlEVmBEYJQuw4QKSVWa+KwgjUxUlgEFqzODmFszUFyiA7dYVYYjDDEwqCFwYiaxu861hsWFzQFmDt3LrGJ6duvr3tMWJDgJS4V0MGVSr+vZzc+HazTp8YmN6WGjcjitKov/axP2ppEE3oCa43ruc5L+o/rz2477UiuInn6/kf5x5xHqLTGdO/ek0JTI35eooUg1tYF5bRGIoijCKzG6BiVtHUao6snhUVY197Z4X8hHAWLcIvNCosR1jWaYLGCNVWp/09D2BrLaBVkhDXCoqTi2Ree4645dzN16hT6D+zP0/Oe4cOlH9Krdy985WGTdOWqAl4X6g2PziyfdQu1cBHw2pudEh+kkm60S0lZHHmCFppQR0jlAmRSCibsOJlpW27PW++8x9XXXMvT/3yarl260L9PH/JBQE5JKm0RjQ05oihmxcoVFBoa8HI5pJRUKhWMNSjPS7jPEuIFkYqnyM7XCbVNDHF37h3PWNaFehWI1b5Z/UGtNVprhm46jCefeJJ33n2X9xcu5K677iKfzzNpy62xlg71B1A1u+tCveHRmVCvl0+9PpVeaYoqzVtWKhUAV/opBFY7RW+Xw503/Y2Lf3c+i956ly/sfyCHHnMU3Yb0x+8WuAKXgtMObWFEFEbkcz4533ea1sSQETEkbCtU68yFEB0IDzMyxA6F6GmnSR0fCUIghWBFy3Kampq47LLLWNnawu577MHoTUehMQgLNrG6aoVaStd3b62tZzk2ID5emSjrFura3LNSypEmJLu6EAItFGUtyfuQ0yAkhG+2cOVvLuK3vzuXHj034tsn/5BdDz8EWZSIokQL0BK0qraBKEFCf9jh7NyHq2kWEZiM5DCTZZs9iEXWu8Y+Iqy1tLa30dTYhDYRSiqkUFSiMlIkRBnGoIRaTVOn369v1Vkd649PTKittVnZp5QyM7XSGu9SFCPzAeWKwNdQVE5AWRbxr0ef5c+XXcHsv93O6LFjOP2cs+i3zVjCFe34XQvYomBFBCgoKFA1ca4qOWmMwSCTByQgrQuYCZP0fVqZchaDMpi6UH9kpBu153lUKhWKxSJLliwhDEM22mgjcrmci4LX5KLreelPFp/YgLxUoGubNaIoykoGPSEJyzG+suSLTr7KrSGRbxmyy5Z867yfceavf8UHS5dywOf25bffPoMgV0DkBaVlhpyxFBRIA0KD1GRsKta6IJjBEifMpQYX8bZZ9CcR6Exr103vjwPf94l1TBxGNDQ08J1vfZsxo0az8cYbc+QRR/Dq/PkotbotVdfSny7WHSiD9boZabknVIU8PaQQFDyPvBVEpQgrIWjwsQrK5RgvFzBkwnB2mLYzhcZGrr3mWq694mq65XswarMR5BolKgQVgTLVSG3t8AAjTEZ86JCGz2RHJtOUL61OgtgBqdXTaZwsuVTlUgWjDQ2NDfzuvN9x6SWX8t6i9/GFx0svvEQURuy9z96Z25UGyFaNgtc194bDx6ooW98XttZmNb+pX5362Z6UiDAC6ZPLe2ibeMKBIvAkNrZEEfSdOIRD+xzL8HHjuPryP3Ha93/EQw88yIkzZjBw4iBnV4TOJxdJ7EtLARKMy2JnMNkKFSghkkEDG+LT/m9CAJ5UyIRzbumSD7HGkMNHCknJVljy4VJg9Rx1uj7qnXifDjaYUK/pZ6UchxlKuTSTFXhpXluAlQLtC7S0lATkB3Zh2kE7MXTScOZcfw/XzvwTX334SxxyyMEceMyXaBzTDcpg2y1WalSTh0QSlkOCnO96uXUEQE7lkEIRCTCuPgLfh7oVuDqkAG00IFFSuQ3SWrAQxxrf9/CkQOR8kPDEY0+ydNESLJayqTCwV3+2n7od4Mz0crmcdXGl9f2e59VN8E8BG8z8Ts2sTvNmOO2avFr1d4l2tRKsEmgBRkJkJT37dGXUmNGMHjiM0qJlPDLnPh6b+yheHDBo0Cao7i4sLkyaN3esG+UoREqFrwLKlZAwjpFKOV5y4VwDJTorJf3fhhQCbTRCSmJtiMKKC3ZKVxFgYoPMSVYsXs4pJ53MzTfeyKCBg2luaGJpyzL6du/F5/bZhzGbjaG9vZ18Pp/FWVKLra6pNzw+XvEJ6yfUa39nanxYkVV92dTXEmCwRFFM4CkwFlsS5H2PAeM2Yfz4CTQ1NfL0U0/ywAMPsuTDJXTv0o3ug3u5Fw8tUiqk5yEsKOEhhMRa3O+VqqamrUDKuiW+KsIoBJmayRolFQKBjrVjcs8pnvjHE5z2k5/wx6sv50ff/xF9evSmodDAoD4DaF3ZSlOXZnbefReiKCIIAowxGXWV1jrLiNSx4fDvE2pS9zYVZrCpUKcBGgtog2cEeU8iLJiKQUhBsX8To7fYgiGbDmVFawv/ePhhHp/7GF4s6duvL7keRYSVxKUI3w/ACqyxKOklH9okpoIFYVD1erKOEIIoClGe5zRpcr+tBd/zMLHmjttnc9YZZ3Lb7Fn834nf5Yxzfsacv91N0ctx7DHH8eGSJTz48ANsOXEimwzdhJaWFnK53GrVZHWh3rD49wq1FQgrscI1bmgJRghMItceghwCG1lXxqlAKldHboRF5AV9R/dn8sRt8HIezzzzDHPuuYclCz+ka7eN6N2jd5V/3AqUlK5e3GqENQirwbpcthKqLtQ1sAKUksRaJwLtBiDmc3mssVw28zLO+OlpvPXGm5w842TO+NXPQcAFvzyPfr36cOxXjqOltYVrr78WPMGen9uLSqVCoVDIAqie562Ww67j/x//NqFOI9UgsQjXwCFENrhDClDGIiKD9JI8p7GgLNozhMoQCYsoG/JNeTabvDlbbz6JZSuWM2fOvTz5yD/xtEf3Xt1pbGxCeC6fLbQh8D2UhLDShrERRT+/SuqrDoRbHJUwJI5j8kGOwM+xYsUK/jhzJifPOJmuXbvynW9/h+/84P9AwcuPPs+sm2ex5RZbMmnSNgRewPMvPMejTz/GDjvuyKBBg7JsSBiGWUtmXag3LDq7lp9i1EJ2+M5zMovCIq0rFLE5hZEaTQVjKxjfgA+amEpcIg6MqxONYMiEYfzs/LM497zz0RGc9qPTOf+0C3jhsReorChDBKY1JFzZjrSWYj6PLyyYuJ6iXgUCQSksk8vlaG5oRgjBe++/y5lnnsmJM77Jdtttx3nnnscJ3/oGi996HzQ8+8w8okqFQQMHovI+o7cfxzFfOZb331/IhRdeCDhh9jwvE+i0OKmOTxafilDbJKqdmtrKQKAhr10tuDIWIwwVQlpNiVYvplyQlEVMe9iO1DFd/IC88lyEPCCb/DFp+tb85cYb+PGPfsL9997Pt44/hZv+cD3vvfkOqrGAJxXRilYkkPMDokpplYx2HWDxPR8pFRbDU08/xYknnsjZZ5/N9O2nceVVV7LbvntgWzS9BvV1mvqllymXKzQ0NEIesDB63FimTJ7CX2+9lZdffplisZhRQKfkknVsOKzJ2vzUNLWlWqmZ8RS4Pr1qa6T0wVcI5WGRGGspBAUaggJGayIdYRQYz6XBtAEU5Pr6HPyVg7jh1hsZOGQAp/3sp8z48gk8evtDSJnH95tgpUVUPALVCFZhhNtkqpND0trTVY+aS2Vrjg7ztgXVGUPVQ9j0/86uxn/O1EBrwVcBBrhj9h1884RvcPNNt3Dggftz191307dPX6KWmLI27jJF8NZLrzNy8HA23nSQ+xitlnETN+OYY49l2dKlXHPNNRhjKJVKaK2J4xilVOcpzySQtrbjs6zhLRJbI2qpOyqsdc1HqxzZ34nqAQJpZIdDrKGB4VMT6uyEhcEKg5UGKx1pAUkQzbNQEAEFPAIEOeEjrcAYUCpAKoGxIYbIsZPmLaRauwADNu/PJdfN5Ne/O49lbW0cdeSx/HTGT3h/wULwi9Ceh5IPQtBaKtNeKhGZmMhEhFEZS4iUGiE02DhhWDFgkmIZA8Y4dz+dLySsrCFqSI40f579Tla/x65yAz95wU4FIi3fLJfLWYopDEPCOEICF/3hDxz/la/xyrxnOev0U7nhhptQvkcYhkhPESvPXesl8OH8t9lsxFh6N/dxAxwaXWXfVpO3Yvr06Vx44YUsXbqUYrFIe3t7h6af/yVYZFWB1CgCYW0SwDUIYxBaI4w7sBqDRVtLjCAmeQENxDXHGtiYP7XodweITo7kP2lFhyMjZEhy2RYnLekeZYWLlme/CGDEhBHsusvu+ATccP1NzL7tTjbyujNi9HBoBMqCfNHHQ1EulSjk8vh+QCUsY7EoJZOGkHSHrbkZ6VFz7h32y1R4az4TgMgavpMnrXYhPjnUppVKpRINDQ0opWhpaQGgWChw3EkzOPO0Uxk+cDC//93vOeqrX6MtaqO1rZ2mhkaiMCZocmWiLc+9z+WX/YEvHn4ES9tbufzaP6N9j+WtLdxw3XX0778xd999N/l8nilTpuD7fkZa2Fmg7L87eCayNt/q2rHJhl5rCVapZxxjT5odcn8shUB2bhCuhs9geY+7NCmvyWoPSYhaY3r16clJp81g5nUz2XTkcL71f9/i6EOP5tn7n0XkQZTBixWNFKi0RFTKBuU3gJengqQiJKGAWBqM0CAMQtgkuAdgncWRdINlHkVqMnXy878LQgjCMKStrY2GhgYAyuUyTU1NNDQ0MH36dC49/wL22Xc/fn/hhey2665YE6GUoqmhkbBUwZMuDRiuhLvvmkOz38zAQUN4at4zXHThxTzxxJPMm/css2bdxq677sL06dP5/e9/z6JFizKBXpP5/b+EbG3UCqio/l91CZ1ykBasMESyQsVrp+K1UvFaKXutVLz2Tt/j36OpPw6E6KDfpE01Z1pw6n6O2iNUTiF9ibSS3v16MXGbiQzoN4DHHn+MW264keiDEsP7DSHXp4gQCuUppFRUYuuKYqSHzq52WrBSNZvBgDTJxa/usFngItXgnanwjp+CT6O2LeVVT3m7jTHk83leeuklPv/5z/PII4/w5a99lVNPPZUJY8eCEFQqJSqxJh/kKLe2ky8WCEPIFeD2q/7Kv16az4777cHO++3CVlMn8fJrrzJnzp1M3WYyRxx+OLlcjquvvpoBAwYwadIkKpVK5h93dn7/rcIukvSpWyJJLCVrC3ZmXq2gm+w6OI2dumwIjU14AxK2PUDgszp762dIqGvFobbBUtT87CrJwCKV404TGpq7NzNy/Ag2mzAOIsNf/vhnnnj0n+RMjk1HjkA0CGSUdnMlm4SQiWmd+r0GKzTIGCvjpEU7NZVEh9bF2kq56mGzqLuwItmkPnnTG1y9e0pukA4jvOGGGzjxxBN58skn+dmZP+fkk0+hZ/fu6HKI7ylUPnDNGpWQxqAB4UmkANEO11x8FV2bmpi+1670HNObQYMHMffxxyiXS/z8p6fT2NhALpfjvvvu44EHHuCII46gubnZffb/OfM7FUqoNgvbTCunmtmIxBjP6LiqSksiUFairIdn/exQ1nXIrYrPjvltQabli6s+lPggCItX9DDWEpbLCB9kg8IKQ66YY8KkzfnqjOP54Zmn4Xs5zvvleZz1vTN5+YGXwYDKCfxIEFTSdJvEsxKVmEBaaGIRO7rhbLeENFKe0hFbqufZ+Rl/Gp50FamGTPvdzznnHL797W/z9ttvM3PmTI4//ni6NDchhSAoFAjjiHK5HeV75IKc2+BiRxMdtlrmz5/PsJHD6dKrCwArVrbQ1tZC7z492WijroSVCv379+fEE0/k3Xff5bbbbnOTXhLijP9mAV4TRFKplzLaprkWTU3eJamwTCHTwKoVSO2hYr/joTtvsvyMTaQTGUFCxzSRxbjgK+3t7QR+gBf4VMIyEkmQy2FCZ3Z237QHew/el01GDuGWv9zKvffdxzPPPMN+B+/L3vvsTcOAJvfaJZAeWKWwyhBLixYGjbvQHqnxXNM7TMqYZFzaS1QfyYYI2JonJ/vxJ82XlnZLlUolfvCDH/CnP/2Jvn378qtf/YqDDz4Yay3t5ZLzEJRE4bsoPy5AgwQid3ywcCHLVixnyIhNaezaBBaef/YFHnzwAYYNHezeUAiKxSK77rorAwcO5Nxzz2XatGkMGjQo67P/X4Ko2ebtKkuguvG7bb5jSBaXukJgE8M7C8JacEy6n2VNDVQN786ixo7jW0gwQiMCifQFCAPKcZCLnKNassDYXTbjxB9/kxO+9XW6dm3myouu4KzvnMETt8zFrtDgAxGIyO2S0ipAYXD+tu1wJlks3n0VZBrb1vyuhkCbT1JP12rCVEO/8cYbnHDCCZx33nlstdVW/OY3v+Hggw/OTPOGQhFPKozWqMAnly8ikFXNKsAayxOPPY7wPDYZMZygoQAGisUCm202jtFjRgGuciwMQ/r06cOxxx7Liy++yMMPP5zlqlfFerX28ulZNhsaInG90sBX5ipmcZWaw3aMnskkXYo1jk+fhFWINLfayfttKIrgTwMdTNlOz9qilEe50o6SEt/3nFgZx0durSAONQYP31eoZEtbOO89rrrwch686366NjWx8167scvn92Tj0QMhB4RgC4bIN7RHFZQvCazEFy5/HRvXTSYSRk1rU3IIkdwap8+lqVoZqeKGtWvqlGAgDTCl7YxAh8BT2qucCqmUMutlnjdvHmeccQY333wzX/ziF/n+97/PuHHjMiJBwM010wakRXhu0zLGgBaoUCGlE+pTDp/Bc089y+VXXcmAiQMd35wOWbTiQwSW/r37grWEYUg+n+edd95h6623Zvjw4cycOZNNN900O//az7Yuk7zdWoS1afHaZwo6DvE8F2q1iVWpkzWRxnAsgHWmszUWZSxSegiDa0XWiU6XLh4jZHK9/NXf77MTKKOqFQVVQobqYRECjImTAQJkkUJI+NJw+SgtDVa6jjAqhua+XZi6/faM3GQYr76+gLtm38lbL77BRg1dKHZpJt+cd51fSKJQk1N5PARoi4kNxlgcx5LTbNZYJyQZO2JNQV+Wz3Ctp+tyL1MBBbcAUqFO70k6BhhwAxWSrqhcLkepVOKee+7hu9/9LnPmzOFrX/sav/jFLxgyZAjt7e3VWmzjJm/oOHJXzFNoY7EGPOG5gC1ABL8983z69e/Prp/fncaeLn/tBR4bdW2muakZk5AhpOfVrVs3Fi5cyHXXXcfEiRMZNmyYIzCM4+yzrY9QL8LVWzTy6Qr1utb++sQH4jjCUzK5d1XeNpHVYkgU7j74QrrZdRUn9jKx14WWCCkRvkDEgtYP2mhZ1kqxW2H1c/osaeq1I9n90zKbTrs2bMZdJpDoSowNLTmvgPQltINdHnHLjX/lDxddQrlUZp/99+Hg475Av579UEXlNHcMVhrKUQmllPPZBcTWDfqTQibxcpOciiTjOrRpOk6sFwFiugDSuul0WEJaS11b1FEulwmCgCAIaGlp4YorruCcc85h4cKFnHLKKZx11lmAizsUi0UqlQraaPJBHqmta3P1JZG0xDrG04pA+hl7a7ww5HPTdmXa7rty/A9OoOuArujQYHw3f9wag4cirIQIIdxkVKVYtGgRU6ZMYfDgwVxyySUMGzaMlpYW8vm8m4SabAJrwwfW4llLt+xOfzrYEEIthIVks7VW4CkPIVOSThc+ExanMAKXeqy0h1ityecLThuXoW1pO8sXL+fdBe/xwlMvoAPNsT87erX3+8wFyrLc8Rr3a7GGx5JUlzXYOMb38/g5n1i52k+LgAbHwbX/CQcxburW/OF3F3PZVVcxe/bdnP7TnzJ227E0d2kGA+XWNnIbFZGBQpc1KAjyPtoY2ssVPF8hVZq3TgaNJZVvH0XTpD3IqVZNqYFSjnVjDL7v88EHH9C9e3eklJTLZX7wgx9w5ZVX0q1bNy699FKOOOIISqUSxhgaGhqw1mYkBjqKEJFBKA8QxFZjUibQJLVqY8viV96ifUUrEzbfnEKXovtoUiDQmKSkVnl+VuASRRHlcpm+ffsybdo0/vSnP/Hcc88xePBgcrlctiGlG9Xa0JM0sfjZQ6VcRimF7+VclEtbdKgRuL5/EJjIYNoj4hj8vEeuMQAN7W3tlBaXWPzSEv455ynmzL6HV+a/TC7IMWnaVp2+32dMU69NqFNNXRNT7EQLCmOwsUYpiRCKyBhiI7DCx1iJjSHnCQIlqCyHfz7yGOf8/GzeeGk+++y2J6f88Hs09WlG+QoKYOKYcqmEzHvkmwtYYdEWNAlNrjCZ6S2zGvCapPY6NHVGs5yYqKVSiTiOs1LP2kaJMAyRUrLrrrvy8MMPs8suu/DDH/6QqVOnZv5zbceUUopSuUQxX0SG2hWd+JZ2oVEoiviICGQEuhJxz8W38LOfncnld9zMppOHgASNwfoaIw1hJcJGhmLBnVsURVmX1vPPP8+ee+7JhAkTOPvssxk5ciRtbW1IKQmCINPUaxp3++8a17Mh3lMpRRxGCc2WqO5MFjclNraQky635Ts3KgojFr+1mL/Nns0ds27nrRfepiCKjBo+ip122ontt9uOPoP7kR+zuoXzGdPUa4OEZJbT2oRfoFCeDxq01RiEM4U8iRISlYNKJSaMLI1dfbbdZRJbbH4Vl/32Mq669DLm3HkXP/7xj9nxyD2RywUqUBS7NQEQt8VExBSa89hYJhVB0mnqj4l0saezyQqFQrbojTGZKZ02Z4wbN4433niDr3/96xx77LGMHj2acrlMuVyma9eutLW1US6X6d69OwCNDY1Ju5u7VAYwUuI5iXVjgj2BLmme+MfjdGlqpkffriAg1iA8mUV387kcXs7DWrcwUxO8VCoxduxYdt55Zy6//HL2228/Ro4ciU16OmgAACAASURBVBCCQqHgBtm3tVEsFmltbc00/WcB6yP0lUqFODYUAg8RG0wpBlwVI1KAJ7AVd52jDyNu/eut/OmqK3jhpRdpbG5i4CaDOfFH32Da9tsxYJP+FDdqcBvAGt76v0hTO1jbWeuK09op+4o0zsxEARJia4iMJjYGbQyB8il6HmEpom1ZiW49monbY9555h3OPvMs7r/3PsaOH8fpPz+dUdPHErWEGGPJbZRDY4gjTa7oEyd94qlQy2QyiEhGAq2Ppk795jRSnJL4VSoVfN/H913488knn2TfffflnXfe4Ze//CWHH344vXv3zhZdFEW0tbXRvXv3rGNKa40fBAhtIHTnWA4EFeXGFQWRxbegfEn7B20cM2l/+vcfwKnXn0tDr2a0AeWDkZrIRkghUMZDx67OO3UVgiBACMG8efM44IADGDFiBGeffTZjxoyhVCplUfogCP7jBuit61zWa9CF8jAxKAmiZrpMUvRAZWmJh269h7/dcTuPzH2U1rCN4SNHMX3n6Ww7bRqjJ47Az3tIXxIUA6w2hOWys9i6NK/2fp8xTb1mYa4Owusk9S7SNjeJQRGlAqXdRTbW4glBoBTS99FRTFQq4Umf5o0aidoqWOMxaKtB/OqqX/Pg3+Zy3i/O4ajDv8ze++7D0SceQ7/x/aDkXtMveISRqfrUnZxTegrrg1rO7DiOieM4E+hKpcKll17KmWeeyfvvv8+NN97IXnvtRT6fz8Yfpa9RLBaz79OBCwLcasu7c5TCJik4l1BVykVjK4vbWfrBEg7Y/0AnfLgKMyHSskeDtS6anzKdAFmU21rL+PHj2WGHHZg5cyY77rgjY8aMcb6m72OTNFgq2J8lrOt8S+UynvTxlCIt1Y7ebmfOLXcy66ZZvPrSK7S1ttG3Xz++dOAXmb7bTgzaYgiF5gJBPnFNPIhNRHllO8pT5ApFgjW872dMqD8mspYYAIHykiJ6DUani1e51jYMnpJY4fqksQIZ+M5E0oJi10Z2PngHxo0ZzU1/vp6/3HAD9z14H18+7mgOOvwg8n3y2Ar4ie+khEpK/yxW6KRrK4mKI13baCIM1ibug/sBhCHwA0qldqSQ5BIubWstvu+zdNlyTv/p6cyceQldu3Zl7ty5TJ482UW1Ex86TRlprSkUOqY/Oviu6f6TRCUUyvGjC9Btmrdef5vQaEaNHY2X5E+re1VSimMFsY4RmKx5JJ/P097enr33UUcdxUMPPcSDDz7Ifvvtx5AhQ7JIeOZXr2G3SzduKzozcKobp/PAqrGMVZ9a+7cdXifdaG2qPmpDc7WvJqvPq+mlJ0lTuQR08ldC4hecNVVZUuHuv93JnDvu5qVnnmPpoiV0b96IXXffhd332J2effvQuEkPmpobXaVYLnmdpJ5UeR6qqJx7U4mwWPzC6g0d/zVCnS0E0fGiZo/bxGwX1Qedpqma9LaDIZD2wVoIXMKfJMYRFH0GbN6fYwZ8hTFbjebPl/2Zc8/6Nf94cC5fP/FExkwb7V6nDORBadAeqEAQipCIGInEaoVE4QuPsBxRLARgobSyhXxjg6sXjkJynlsUulKBxA99f+Ei9j/gEF5dMJ/p03fke9/7Lttssw2tra34vp8JclqEUjvbaq0wGh/wUcgYrIFKFPLE089Q8gwDNx+F9LzkUtpk8xGAQoqU/N8hdQ1SzW2tZerUqWy99dZcffXVTJ8+nVNOOYUoivA8j0KhQCUKXXqxw81LrYjkR/fTWteCETK7ldXyDpvdfjdH27jPAhBp0Dq5z+5zoMhcp9g4ammlPLQ2xJUYLwhQQoG17mnWpSmFwqWhNFCCe6+fwyP3P8yTTzzBBx8spqmpkQnjJ7DdtO0ZOX403fv1pHv3nu5vPKpF4enSTNxEIck2fOmt+fN/xnzqDYVVF/Yql8DaVX7T8fnSgogBK7Gh5s1X32LOrDnccfPttK0sse+++3HIkYfQfdxGrmYat6Ajr0I7bUhfopQH+BB5EBsCX2Fi7QpBVMKu6itAoCsVhPKQQQBS8Oy85zn62K/wyoLX2GuvPfjB//0fm40bTRzHtLa20tjY2GEyBlRHnq5rQkYUl0EIfJHDltziX75sOaeedAbPP/UUdz5wF363wC0+ZcC3RNKiAYXsMGq4M0gpue+++zj++OMZNGgQl19+ORtvvLEL5lUqNDU3uThEh/uxajGuyFpvsztkqxrcCtCC6qacPJ4VZibnJ3HDCrSO8ZXvGlesdcljKbDKEhPhKQ9tDTqOsdqSC4pYbV1BiJtUBL6oVnsuhccf+QcP3vsgC15cwJvzX0NaycjRI5m87WQ2GTeMvkP7s/HAjREFiY5iVOAlZaAdV1w19kK1cSl7Tk1lWQ3+azT1R8M6gh+p+buG5xsBygNTLmOFYPAWm3D00GMYNnIYt1x1Czf/9WaemvcUh33lMKbtOA3ZRyBCQdgW4Rdy+MKrmVghKYURgechpUIIi+dL2pYto9ilGR1VQFhUPoeJNbNvn82Pfnwqz8x7itPP/AUH7L8fo0cMJ4oiwjDMUl1RFGXmbG1V2rqQtfLpZGEpCNtCXn7lZYaNGg65GnUpE9/brl8RRoodd9yR3XbbjZkzZ3LllVfy/e9/P5u/RVLS23EfFTVf3ZvXGsO1rbjgBNjDQiIkq55ZGmqNdIyUwhULeQKdVOtJ5XYHKwXGKForIbkgQKmcixFUDJ7vOelJ6LTiDyKefeJpnn/qOebPe4n5r8ynbWUbA/oP4JADD2bAppswYsJIBowYDIX0+jmXy0owwmJl6vxU+QJkZs7b1dySNVFd/48K9dqxpvKVKiyhifDyEmJB2F7Gy/nssM+OjBwzitk338GsWX/j56f+nBeefZGpu01h8x0mUIwbEEogtECbmEhrx0VeCFxxvk1mTWmNyuVIw6ResZHFi97nL3+5nl/96hyWLV/Oueedz0EHH0T/vn0zAoI0eJa2OQIfmW1ESOl8xSRlIiSUV0YsXLiQ/fbZC5mridpnrkutZl37e0VRhO/77LXXXsyePZtZs2bx5S9/mT59+tDY2Ohy8qmzvqaUTc2DsuY51XSmq0fAmuofpHuRqD1Hg/R8YmOomDgJ/kmQikjHmEpMIANE6BgulZSonOf+WoJtMTz/7HMseGEBLz39PPOeeJplHy6lV4+ejB83nnFbTWDcZuPYZPRwaE7eNgYqFlxrAJE1aDS+SLnMbIfPsX5XtSPqQt0pEu3jqTV6boaQkIggn0NGgkqbi3D2HdOXowcdw4Rtt+CyC//IjTffwAMP3c+hxxzKbrvvRkOvIoSg8NDGEurQDRwIFGEpxhiLzEnyDUXCSomg0Mjrr8/noosu5rLLriCXz3Pe+edyzNFfIYxDwijEaE0ulwOc0NT60R+1d1kKZ7eaNO0SwcJ3FxOFIeMmbIbwkvFF1unAzHtLnNXONGNn2GGHHdh333255JJLuO666zjppJOyqLxxtZNrzPalZnWt5q75BJn/3OH3WSCrmnnw/Zwj+DMGg0gq3Iwj10AijRsDlVP5pA8VaIfXXn2VBc/PZ8H815j797m89cabNDY0MGTYUHb7/J5MnjSZkWNGIXv7zv0qk5HTWm0QgYCcQFtLGDo2Eym9rFNBAqsSha5mvKwF/6M+9XpAGkpL3uG1p5/m9XaPqutiae7Sn2FbDqVrAyirkNZDWoGNXX5XKc91ha20XH7p5cy6aRbvvPEuhx16GLvssQujNhuJ6qac2Ra7nHOhmEumk1i0cONvlPJ54eXnOOP0M5hzzxzGjh3Ld7/zHfbaYx+MjRFCElZCgsAJdJq/LhQKWd9y7cxwWLdPba1ji7EViRDQurKNay6+nt/97rfcc89seg3v7YpVpIW8QhMnpqMzgrNWwTVd1pr3v+WWW5gxYwYDBgzgzjvvzCLkKnEBUoup9n93B9Yu8Z0KNYK0xz3dFOLIonwvmcjqzNz2xKVqyOecv1x2x5K3F/KvN1/n7Vde49777ueZZ+ehfMWgoUMYt8V4ttluClttM4l8r5zrDbBgyslbRwaVlym5HSiIrCayGqEknvKIiBNzOj1bmVghznJSIiEZXuVjd0oPVRfqziCRssKbj/yB0/aZwRXLOj7atetWHHXq4XzhkEMY2bsrMmpD4pEPcujIELXH5LwcXs4HH5bOX8o5PzuHOXfew9BBQznsiEOZuvNUum3cDdHgxsSG7RXyjQXi5OZ6vmLBv17j8/vtw0svvsxBBx/Ij3/8E8aNHEclaiOKYhqLDUSRRik/696qraNOu7rSMlNYt1AbE0MEUjuf8d1/vcdPTj6d1994jfvuvxuahXMVhIa8ck0skmRipguWrc13SZtTfN9n5cqVnHnmmVx00UVccMEFHHnkka6irJDk0+ko1FU4oV5V4FNbwSa5qVREsniZlTUBKMvKFS00NTY5l8PgWnR94ezXVsPSt5aw/I2lrHhvMXPuvoO7772XkinRt/9Atpi8FdvtuD1Tp22P7Jc02VRcAN3LQyVM9j5h8TGuxtuNZMUICOOI2MRIz8PzfDTxKtH6qlALyyrM4VXUhXq9IZEy5O1/XMYvvng8F77ZQI8BvWnyLBDTtvg9FrdpRn/1Ws770cHs0l+jEWir0XGM0IJ8ruhK/1K7ycLjtz/OheddyFOPPcVOO+7EUTOOZOQ2o8g15kBAVIkoVyrkizmef/kFJk+aRGxjvnnSDL598rfp1asnba0raWpsxGiDJyTGWJQXEEUaz/MRwo27qS1Qqa3SWqdQxzFEwpFC5GD+E69y7Be/ytjxY7jw6t86n9CzWBEjch6xTYbeJZZBZ0wcHV4/qWRTSuF5HrNnz+aAAw5g4MCBPPPMM+TzedLlVo1oOwKMKpIsck20W1ANihkhiWvEQJDsO44vo8r/aJIHyyQehaG1rZXK8jbefuE17p41m7n3PkJbayuqqJg8ZVsOPeJQRkyZ6Hxkibse0qKxaCuQORc1d1kpgctxWEwUo7UBJRCei3O4U0g5TaprL43QZxWQlqQUt5OV2sn9rPvUa4VFx5DvszfnPH0tR3YHWMy8X5zEF869nhf/cDY3bzOYUUdOpp+uEOmIwA9QnqJcaceTPlIrRAQowdZ7b82YzcZw859v4orLL+e4ox/mqBOO5MvHH0NLpY2XXniJ8RMncNddc9hn372xGC7540wOO/RL+L5PGJbI5wtYbVFCUqlUyBcaEhNboHW1PTMIgswcr+UnWzdk1XI1UGkv07JyOaPHjHTBnciZ/VpalDBOu4mElmk9HOrU3097vydPnsx3vvMdLrjgAubMmcMee+yBkG5ZptFeK1fVOzWGeBaMd7X/1WkYSZ7aVuN6Mo0TpIcGG1rCOMRayxtPvsItV9/Aww89yLKlSyk2NLDl1luz1557MW3PXaGvchtATJaqJHD90lhB0OBjMJTLZayEfFDEEFMph05j5xzfW2RdSbJI3AxrDCJh7Eg/qqoNVaz7snZAXajXCJEtVmxMVHYX39KT8d/7LWe98iTfuOJpHn3iXyzYZTL9+wUURMK0giXI+QgkK1pX0KVrV+IVIZ70aejfwOE/OIJtdt2GC847j4svuZhZd85i6fJl/PP5p+i1UW8WLV1IY1MXbrvjb2w7dSpSCEqVMliB7/koIdE6mcVNalp33LHTWvG0AGR9IWuYUE2L4e1X3sYYw9QpUx1ZQt4DBVJ4GGuQKtGkxnSaXlkV6dC8VLC7devGTjvtxFlnncUPf/hD9t57b8qxxkumn+qEWEBJxw4LFk8pdM0w+6y+PBVmY/EkmBjiyFXBehJ0JXFrfbCxs17+9fQCbr3hr9xz1928//Y7dGlsYqsttmLPz+3FpF23pWFYl+oEphgS1ZulmRACL/BdkYqOkFiKKjG1owpKgB+oZIMxGAwKUCIrh0GmJY41d7G6j9mar+uHulB/ZFigO4OGBjQV4Y13FvLhEg39lFtUyQRPYw3t7a102aiJqFIm6JpHlw3SWEQkGLrZMC64+vfccdMsvn7iN1j84Qc05Zr4cOmHeDLH3EfmsummwzGhpRyVyeU8fD9PuVSmFJVpbG5ExzHLP1xGl27dNyB5ochW1solK1jw6qs0NDbQr1+f7GEjLEYaREJIkWrC9Oqs7Vzy+TxxHGejeJRSjB49mlNOOYXzzz+f227/G7vvuRetlTKFIIeQjmAiTgTC+fOOaAALgfJAecSxoaW1FeV5NBbz6DaBEhAkXHOEztclhreefZcbbrie6675C2FbCV96jBszluOO+xrbTdue7gN6YPMgcpLIQsXPgvsoa2tYPo1r0khIEFwKLTEHDGSpPpuWg9ma6yTJyK07KaRZ7RLatV/XWtSF+mNCKZem1dpgY5fHFFmNuQEhaWgo0l5ytEGtpVYCz0d5eZBQaS2RF3mGjNmUCRM3Z9bsv+GFTtsJYymoHPmCW7g+BcJySBzG5IM81s9hK06Dddmo+0fbxtcFk6weD5Z8uITn5s2jd6+e9B5QFeqUp1rWLr71zGVVKhWiKMoYWgB69OjBgQceyC9/+Ut+evrp7LLX59zAe1KDWmBjiyckfqAyUz+sxETGks/7+FLStbGJONLoVutGJAvhVLOC5a8u45rrruWvt97KwoWLsAK2nDiRKZOnsP1229NveC8KzXl86cgJhATjQ+yTeCRJv75N0m2JUDuy1STiXvv5LVTzYGmwrhrbznL8tsofmtyA5CdTva9Zbn39pLou1B8ZEghZ/HZMexv069WDbl0SE9dCSjUIbuFJ5SGEIpf38KVieesyLNBUbAApefVfC7jznjkYDLGN8fGoEPLVo7/CGWf8nCk7bIPIQYDvduvItYcKKVDSw0QglMgWXWf4KLlqa4HYIgLBspXLeH3Ba2wxeUsXGHKuezYjIhXsj7qp5HK5jKcspWAaOHAg3/zmN7no4ou4/7572WH6DkRGU2prp6mhSMF3nz+ODCa2eEqS9z2stsStMVIoVEHgFzxnHitY9vQiZt3wV+574AHeeutNKmHEkGFDOfyww9h6ymS69e1GQ7ciDc0NWA1RBCUDQiWKlUR40dlnFElBi6sPsdlEDZEInkg3dQuQbECJQApwvHRJ663FNQ11CPjV9t/X3Lb1jVlAXajXCQsIGdDQzVVbCcq8c/VPOPOut3iTTTh8/FCGDqHDBEKnsZO67Sgi3xAQ65CWUhue79OYa2RFaQWXXnw+p5/6M/INRb55zAyeeuwJBvTdmGnbbs+Vl13Jt75+Ep/73N4ce8wx9B7bF0pgI4sqJEEvIxDKYlJSxbVgfQU7qyXWUGppZ8Wy5YwdOy55kKTLrMpfXdOolT1nXedRm2pLWU+6devGl4/+MhdccAG//sXZTJm0DU0NRbx8AWUVcaiRQuBLiZUWEQuEdtdaBp6bkQ289czbPDjnPh574O+88dKrtK1spW///hxy8EFsuc3W9BqyMT379qKYL7pbVHS3yhqwXnZZEQo8AZ62ydQXatJkLm3mBigK4poqNfdMlWx+Cal0wniTlqJVk1PV4XnVkbWrXsf1vLA1qAv1WiFRCkqLH+Scgw7mxrxGyJW8//ijzH2rnV67zWDfnbdkk04uvADXdqcConKEFQJP5SkEAa+/9wYXnH8+5513PgMGDObC3/6e8WPGs2ThYpobm+jfrz/jR2/O7Tfdyi3X3sTz/5zHwYcewq777E5D/0aouKCP9MF8RGe6swym84MtURTjWYXnK2iDJW8vxvM8Nhs3ruoekkySWGfyqnOkGjqlXkrJFDzPY+iQoRx08MHcNut2nnz8n0zffjsKuYCwPXJFPYFERCBi4bSxq7mh7bWV3Dn7Th6f+zgL5v+L995+i17duzN1+22ZMGVLBo8cRv8+/Wnq3RW6dH5eUrnDCtdfb6wLaGU8bUBqNlcD6KLWWF6t5CXV6RJbLV6yMlXr2RPTCjebvIV7K9Hx1ez6C3ddqNcCE1cotQDRuzx1xw08BUCA9Aax97H78YVvHMD2w3NABS09pFHVfloDcWwIAo+2ljZyxRy5wOPvjz/Gb849hzn3zmHajjvwox//hJ2nTMNYGDCwH7RZ0IIJUzdn0OCBjBo2kpv+chPnnnkOjz32OIcefQSbbT0W1QAmtFTKEOTpqKlrFyFJ0X+6jjoTauECUVobV83lw9I3P2D+iy/To0d3Ro4YnrmHbgNISOVr3yrRRKsXinSETiiE01r1OI6JoohisUihUOD73/seN1x/PVfMnMm4kaPo2bcXQeBjIoNQwjVQaGh9YwV/nzuXp/75JG++8BoL5r+GrzwmTtiSfT+/D5tOGM7wUZuyUb+eroECaP3Xk9z1qwu5+4N80gUnsFZTah/PQT8+gG2H9aJASiqRmsQpwX56rarfuwo694HlKp+7egtSzZ4KbVWgRc1zU4FO/87W/J1z6GxiAa4bdaHuFM6w7DJwMvv98Nv0WprDS00sO5C+/buz3UF7MLKHQNJOGYUnXC+utTJL7QicuRx4Pn7OY/Ydd/HTn53Biy8+z74H7Md3f/A9xg4dQckaPANxqBGRxY9cdKdb3+7sf9wXGD5uFDffcBOPPPIPXn5pAXvu/zn2Oehz9Bnai6CMo/dNGzHS+EvN/GMrTLWtMEXNzy44J1zxSuTOffEHi3lt/gJ69uhBvl+z86eDxDS11jGkJAUSNnk5EtO8FplPWeMPKqVQUiVdjm4Agytp1Wy++eYcvP+B3HXnbKZsPZmJW27FFltNRBYkK99dzpOPP8FrL7/G/GdeYt7TzxK1Vxg5YgQH7n8Aw8eNZMLmE9hoeG9njqfubQVEXtOy8kXuveQyLvlg1fu9FT2/tB1bDOtOk4lRSSGNBrSU1YsKmWCJZJmsWrq5qti5Jg2xeuS65me7ys+1L5nWx6SbzPqgLtSdwmK0oMvArdj7W1uxdyfP0LSiEYQJ95TFcWX7KpfdESUlVkPQFPDXW27lxBNn0F5q46vHHcc3T5rBgH4bUzFuPK5EuUhuUwBl6+5M2Wm2sbuOZ9TEsdx+0+1c8+e/cPVlf+al51/hgIP2Z8q0rZFNAsoqdeOplCuoQCWVTnHm3wmRtBla5xNK6RpWdGRQNunETxzlDxd9wMI33mWLSVtmXOdGOaXlWRA6IVwQAqsksRVOmwgD1iKFcuG0WGOEREkPsHhpYYm16NhRIPmehzUWo8HEhiMOP4pbZ83i4ov+wMb9bmPfffend89ePPrQXB7/+z+otFfo3as3m0+awORtpzBlyhR6bdLPCXKSvtIlg8gLpCcy81Yon0IzsGwAUw7YjZGNLghWKU1guwHdKOCaowXScd11KkS1EiyqHBGrPJQ9hXRv6dxFW+vrI7LIuqjZWNaFulCvCWIt5bHCEoWuFxptEUomY40s+GB0QgnkSVraWnjo7ofYb/99GTRoMD/96akcddRRNDY2utSO8J3XJSxB3sdYg8jjtGiDcMyT7RbV7LHPl/dh0nZTuP7q67nx2pt5+emXOeQLB7P9HtswZNSQNDCPCTWe74SKdL5YwrQqUFW/URuXLjICXyusAZH4qYvf/5C2ZSuZMGqsq7zyoCSMm4xpcLS2SoCnCIUkEgKFJkhyydpE7iKm0WLjGEdNFGOFQCqZ1Im7/Jj0BMUG9+YP3P8gvpdj/qsLmPfKczz08MP06dmLXt17MmLESKZttx3bTpnK0JEjocmxntqEbw5jIRAoX7o+ZWxGmSKkmzriN27NCVdcymH52ptqsTqZOW6cOHmJ0KaPJ8titXWyirfTAamGlqmDtCatnsm8+0Zm6jttQ60Hyj5ZWFfbnXJrCeEG76U+YlrNtXDh+9x8801885szGD16FGed9Qv22muvrBJKJsX6yTpy3GUCN1wvubl+U4441ITtMZ5S9B7Rg2989wQmbTn5/7F33vFWFVf7/87e+7TbuJcuiIL0oiiCKIqiEmwoFuwlajRib29siVFfW2KJMbZEfW0xsXesWLALBkVREREFkSL11nPO3ntm1u+P2efcC8GSvL5J8Ofw2Zxz92m7zJpZs9aznod77rqXa6/5Pa+99DInnnk8PQf0oq6mHbl2FZgoBoEglQIjTjcsEe1zlVQe+bCIj0dFtgrRrtMrX2ELsOKr1dTUVTNo6MAyNU8kxmk9iThaZQUiFqPEiQYmwIyU51MsFACPilwFIoo4H+L7HiYyBKmUoz2y4Hku6BWtDlnyxVKW1i/hlj/d7Ej+UwE5k6NZ59lj/HgmHTeJvv3741cFkLeQ9Vy+PjKolO/KQhMaIlvOAZX8/sQoFZhoKTOfmU6vLhZPLJluA+m7QTuq0oq1Qw7f7PKuOz7xdW9tGx9f4ze+8Sv/sUAo/GjU/3QzxpDNZssKj+A6exiGKKVYsmQJl112GbfddhsbbLABjz76GH379l2TYkh9fUWT4wxXWHFK2H7Gw7MKaXbplq12H8YWW27B6y+/xsUXXcwBex/IpOMnse/P9qVHpgcY8LwUJnSBqEwujZ92xAvaGOLYUJGuIPBSmNgZpq88fE+xfOkyFsyfS1XHdvTZbKA7xgDSgY+gsRj8ZAFvRaHEkRRaqwgtTte6ohqrwWiwkXb61qkAvyLl+mkIpimmqdDM6pUr+fDNmdx7zz288+H79NigOx8vnEchzFOVqWZY3y0Yv8d4Bmw5GEKLbo4JsimIBIkMXuCjUq6s0iQAHvx1GYPC88HmX+eqfUZyVbK3w6THeO7XuzNsg6DsWazP7Uej/idbGIZkMpkyayY4UEVlZSWzZs3i6KOP5p133mHHHXdkypQp+L5Pc3NzmV0z8AMqchVr5LfXbqKE2MQJzRHlJYFEEPgeqU6KMeNH03/An7n+uut45LFHee6lFzj5pBMZvcd2tAtq8Pw0qcq0q/HNW1QQOC0nZRxpHrhUVjrtot/A4gULWTB/Pu036IDq4oj1re/KKrUYNBbPU+U1uq9cwX/g+fjKJypCLuMmTR0KqVQAaSe0pxvdIBM1FvhgQ2E4igAAIABJREFU2rs8cO99vPziVLTEDBsyjBOPO56NtujLb/9wFZ/P/5zFSxeyzXajGDB0SLk8MsimXOBOBHzPzdDK/WkV+P7Xh+HdTJyisraGjCfYqECvjpVkfNb9gfWw/WjU/2SrqKjAGFNm7ywxj7z66qsceOCB1NfXc/rpp3PllVeilKKpqam8Rq+pqcFog44NgffN1VNBEBBHMYWwQKBSZFMZ/LTXyjjpwwaDu3DpzZcw+a5nuPvPd3PWWeew0zM7cdKZxzNgi/6ussgDQoUuGIJq31VthY5EIVuRRgdOTRFg0efzWbZ0IQM2GwCVTokj1BYVWCeCF6TKmGWFIpXoKCOgNNi8sy4VQCpQiBWkRYiaI9587Q0eeeghXp/6Co31DfTutQmHHnYEE/bci76bbQbVYNKWPQ/ek6bGPFuP3IZnX3yBiQfsz4Y9u2PFsbM6+KfDhVsLVks5juElgf2/N1GLNRDU7MKV7z/B8T1K+x3AxH6N3vP61n406n+ylUgJSpI31lquu+46TjvtNDbccENuu+02DjroIKIoor6+ng4dOpQJAZ1xlxg61vHdqpSKcrW2QdqVUqpkLSza6RV7vufuYB7IwB4H78K43X7CHbfeyV2338XRBx3LUUcdxb777UtN52pS7T0C7WObwasGUgqJXQQ7sjHppDxz+ZdfERVCNhnYFxJSvLAQk0ORxgc/UfUsxnikUCnl1uwaiCCbS1zf2B3bjLdm8Oc/38Xb06aTb85TU1PDHhP25MCJBzBo6BAk6zmKH3Bc6TmPfCHG9wNOO/00zjvvPJ5/4UVGbjOSbC5LviUk8H0CFTjACA4JFyTgEZ0E5b5xNarW/EN5gP02XN560uQ7NGPMj9tam4hIHMciIrJs2TI5++yzBZANN9xQpkyZIsYYaW5uFhGRfD4vIiJhGEqxWJR8Pi9RFIkYEYncZmIrWmvRWktoixLaohSlIM1xkxRMXmKJREssVoxYI2Lj1s9Ki4hZbUWK7rleHctHL30iJ084U/rnNpUjdviZvHn/DCkuNO799e59EolILNLSWJD6YlG0iMjKUK498hzZf8hYeXfqOyIiUrQi9XkjOrZiilq0NRKGoUT1ebFNWiQUkWYRaRR3DItFZj/6jvzqwF/I9t1HyqBsb9m623A5ee9J8voDr8lXM5dK08JGsXkjknfHYxtEpFC6FiKNTS2ijRURke22Gy2dO3eV++97sLVT2uTBisSxkSjSYpPdVkSMtW3ul4hILEtn3SNn9kEgLVXtO0nHjh2lY8f2UpUZIWc88IF8EYuI/Pv71j/aD9duP87U36GViPDbthK08d133+WSSy7h4YcfZtSoUdxyyy307duXQqGA53lorcvidSX5HPelrEnC2aZ54pVn63SQTsgFLamE1F/E4Ckf5XvoyBBkHFmfp1xE2g8CBmzRh8v+cBFjn9qZ22+9kxNPOpFd9tiVY084il7DN4ICxM2aVFXgaq5TCmugcf4iGpaupFvn7vTq2QuAOILKjIcfA7ECz8PzUpBNOZRXklOf8+aHPPngQ8yY9jfmz/8cUcLwkVsxfu+96Lf5ZtR0a0dNVTuCSkeVFIcGIxHZmjRioRCJK00FKipy5PMFqqsq2Geffbj88t8w/e3p7DF+D9KZtHPpk9JNP/EcSrdIZF0xY0FMTLEJIKJ51XKaW+8wSxtD4h/ENM2PdEbraqXih9KlKSky+r5fLvL3PI/JkydzySWXMG3aNI488kguvfRSunXrhjGGQqHwdzI3pe8uq2WIQ3KVkFilNJYo2+qC43DIgJPowaGaVEJ7I+JwxS4PHOAZr3Ww8JzhfvLhPKY8+SKTn3qc5kIzRxx9GCf84jgAbFGjcj5FhFzg8fGTb/GHX1xKl359uOCea4gthBYqsuBp950lzDUhzHn9Qx5/7CnenfEuS7/4AinmGTZ0c7bdYTv6D92Uuo03oHPXzgSViQCAcQAW8RwBglEWlfYcHZB1SxLfCJlUQBxrMumAYhix15578dFHH3HdDTewz4Q9MdYh0HzPww88mpvzVFbmHBur15bxNLnunhA1r2LxnNl8WfDXIJK0JscGA/rTvUMVWWXXKxf8Rzqj79jaMnBGUVRm52xpacFaSzqd5k9/+hOXX345URRx0UUXMWnSJDp37lxWyGgrObt2azuOtsKK1wzXupI8F+1RbfDCUIJiWreAVM4wCMCzgsXH84JyIC1VFTB4ZH+6bbQBfQf15rHHH+PmP97MK69M5eTTTmbbXUcBkEoSrB/PnktTQ55R/fpABvxmyKXBMzgMdR4+eONDXnvtNWa9+S5z3vuYQiFmkz592P/gg9h8i8F069WD7r26E9Tm3GnFycGX8OPKsXJJACjrCBCUU8VAlGP4TE45jGKymTT77LsvM997j2eeeYa9JuxJnIjuBYnIXyaTbiU1DBRrX3qxinRVJ3pt2YleX3PfHbPN+t9+NOqvaSbpNCXivtLM63ke559/PldeeSV9+vRh0qRJHHroodTV1ZUrj6IoKn/um9q6hd5cU2ug+5N960Q2SCK4ZzGeh6ckQUT5rQLnCuo2qGHXvcYxcMt+PP3IU/z5rru4+IKLGf3iNhz60yPoObgnAF8sWoRKZxg8dDPwwKtyn//g9bn8bfqbfDZ7Dm9On0b96np6d+/JLj/ZlQFDB7PJoN5s0qcXuc7OkI01xMbhqEvaWFZ0ct4OFOIqisGTRMcsKT5R1qAClzOPYg2k2G/ivkye/DhPPTWZZ5+bwO7jxhEagzEx2jh8vdGa1nqpdTjgPxCj/bb2o1Gvo5VULaSNjnM2m2XlypXcdNNNXHLJJQwbNowLLriAcePGkU3UKNPpNKlUag352FL7dgNfc5Z2T9xzRzVfwv7KWo+gyh3ZWbBVBuUlhu0pl/rSTkt6k349mXTqJAYM6c+Df76fe275K198upDdDtgHbWOefPE5ajMZMl6Wxg/rmfrKK3zwyUfMnfs5c2fPpn37ajYbNJB+mw1ixOYj2KzfUIJOqbJCY4RTnECBCgBfEM9ijcHoGN/38FSJXKFE79MWF53UfwkEgU8chURRROeOHdlj/B68Ne0t7vnr3fxk7FgC3ydfLJTTidYYgkS99AcSx/6n2o9r6nU0aaMOaROCu1mzZnHTTTfxxz/+kXHjxnHhhRcyYsSIshDdt5EQyDrF1FsVI9YNORSULbGarP39SeWFilHoBAKaJHIkqezAR4mHsgrPuFnbasELHJRy0eyFTH58MtNefYtFTSuY9fGHrGxYwsBOm7DLyLHUVtby2ltvsbzQwJbbjqD/kH5svvlmbLv1NqQ2yDq3usUdjfYgTgM5hzN3RygoMQ7BLIAVJ+DYpsIruTit5wPgOd4xgDAKMUZTUVHJgi8XcsYZZ/D6a69x1913M26nnWkp5Ms84TqKHSw2udbfH2/bf277kff7O7bSDF1i4nzxxRe5+uqreeqpp5g4cSI33ngjnTp1olAooJQinU5/JwG6f+w6tuZtW4XQWme0EoxUKY0SAxjHxKFgzSythyc+yjieL095UHDfSx3gw+t3vcLRv5jEJ8s+JudXg9FUEzBqk63Yeffd6DWkDyPHjKJj/47uEApAlHx9Fki7yHURV9td8iwEC9aJcmVUgKcc3luJTSqPShccyuVOSTmml8k4DnLPI45jREE2k+HWO27n1FNPZeJ++3Hnbbe7QKKxZQy9o5DykiX8OsPgP6j2Y6DsO7YStW4cxzz++OOcffbZLFu2jBNPPJHrr78egObmZoIgKENF//m29vrPGW/r+rmtsmGbsr1SXa94ZbJAJ63suMMou6BSfi5Wyowh+RUtfPnel0SrI15++mVampsBDzIeEvrUZtuz++67cexlZ0A1EOOICkhKDX1Jgl6O/cOmFb44tUlJOLg8FaC8wLnj1pH2ecpHKR8R21qz2HZaEbBGu6CfKUW3nTgdwHbbjmLszjsz5dlnmf63t9lq+AinH4YbXON8gVTWsZD+/9r8Cy+88MJve9N3mMx/MK20li4UCtx7770cfvjhVFZW8qtf/YqLLrqoHEDLZrM0NDSgFN+ZW7v1MjpFC08plPJahexEnLucuOWKUvrq6/85QHiJoaDEXKmSqnqFh+ew46IotBRY9eVKln60lCn3PMM1v/4d9975V4rFiExthiabp6nQSLu6Wupy1RQXL6eDl6Nd165ksxliZVC+c50xrt5RW0PBU9jAI+NBRhSeFpSxpJSDbAa4Mksn0J7g6JRytEhKYcrPHeNfkA4QbcrLGpvM4srz6NShIwrF/Q88QBzFjN9jD1KpVCJ47/Ch7pr+Q9WK621b14Tyg3O/17W+XXtfyZ0t7V9b51drzeWXX86FF17IoMGDufSyS9l7rwlosWCcmkKsNamUjxI3S3prY7hNSHNTI0WtyFR3oCrjiPIEUMoSFgq0FPLERqM8Hz+do11lFb6S5Lj88rG2Bn1U69/KzdJBCQNerr9NHpTbH0cxURizdOFSnnv6OZ569AnmfzofzyjGjNqBMduOYcL+e6PaB+xx6F68/PabnHj8Sey42Qim3vsYLz49hRHbj+LM889mw837kanIQsHNvOR8JCW0KEvsKbJKkROLtQYjQspLI54qx/DK1ZDJMQoubmCUOJG9hPErKykKTc1kKytRCrR1FEjK80gFAR/Nns0pp57CezNn8tabb9G7d2+KhQKZVNqVhFqb5P1/+Fa9zmXfOnFma7V/NxTuH9kKhUIZPmetlTAMpVAoSBRFYq0Va60UwrxYMdKcbxJjtRTCvBgbS2y0fDb/cznksEMFkJHbbitvvjVdRESaWwqSj2KxItLQkpeCiSSUSGJbFOsAlq2tWC9fvfJHOXCI67cH3dcoq0IR0eKgoSs+lIcvOFkG1nZw/nFQK133vVBeXigiNpZCvlmscZDQWCIpmLwUbFGKEkmjbpGVYb002hYpSCwFHUrcEoo0GgezbBQxK4zYVVZWvrta7rvoITlw2MEytGZz2aLTFjJh5Hj506U3yIKZ89zxNFoRLbL4g0Wy76i95fwTLpCGL5pEtEjLomZ56Ld/lZ903062r9tSbjzuSinMLYh8JSLLRGSliBQdjLRBrDRLJAVpkmaplwbTKAWJpMlG0mxEjBUHSy2KO86COHhpbMXYUIrSIi3SLC3SLNqGYrURq//+/lrr8KGPPvqoAHLyySc7yK2IxGEk1ljRUSxa6397X/x3wUR/cEZdamEYShiG5X3GGCkWi65jiJYwzktsIlndsEq0iUXEyvS/TZcdd95JANln/4mydMVyia2VlQ2NYhKb/GplvUTGihYt2oaiTSTWtv6uWTJDnji9bymcK4Acdn+jrA7FgZJXT5Er9h4mdW1eB4RsV+m6752yQIyEYUGs1RLpUCIdSmgjKZpQijaUSGKJJJaCKUrRhA4CbcRhuVtEip+E8vhvJ8vRW/5MtsltJ5uzpew/6CD5n3Nvl/effF/0V7GY0IjEViSOpbF+lYiIPHHro7J991Hy58vvErEi0SothSWRSIvIqunL5OqfXiI/qRol4+t2lHeuf0XsIu2MulEkjERW60jqbYvkpUUK0iQtkpeixFK0WgqxFWtFrE4MuZhskYhoI9YWJZYWCaVRwsSov+0ez549W8aOHSvdu3eX2bNnS7FYdONpsShaa7FrYL9/uNu62g8umhBFEXEc4/u+W2t5HsaYcu7YJAQFxgi+l6KmuhbfC7juhuvZf/8DeOWVV7jgogu57557qMzlaG5qpLamCgGiOKKuroaoGKJC8OMA3/htgloxi+d/wvQ3unLIRX/igoPc3jZLaTD1LKvux56n38mMRZqvPn+Rq8/eGopLaX7jUZ760kOlM6B8RCt8HZA2KTI2TaYQkGr0SLUEZIsZMnEaZaFleSMP3HM/R+xzBCNHjuScX53DqqZ6Dj/6cO575F7uevB2DjvlEAZvPxi/XYApaor5AiJQVVENwKolK6j0MlR7DtraPOc+fndUmmyXjvQZN4Dz772Mqc3TeSdexGFnnsT5J53H6gXLIQ2BhpykyKoKkCw6SmGbLRntk7E+WRRKg0rSXoWMUMhYCilL6AtG+fg2RTrOko7T+Pbb47e9e/fm5z//OYsWLeKvf/1rWaxea/2/DFyu/+0HF/0OgsBRBXkuAFWSeSmxlIAzsmymIiEKDDjltFO588476datG7fddhsTJ04k5Qf4OcdJ7aEIEwXJdCpNLpPB06p1ni0PjQFdNx/P6Y+MJbSNvHLe2kenoWYnzr1iG0hXk2vvk2FjRm22Kd2Yzup8Nzp2d4UOgR+Q8gOHDY9wOWHPa2XJXGR56amneOL5Z3hr1nTq8y10a9+Vgw87hHE77kr3nl2prK2gsl1lGRiCAh3GKM8jk86iY10O8s14/W261HZg4969QKB+0QLmfgRh80rCNmewuHkei+lF83OTeXH6VA4+/GCOOPko2nVrR74hJpNO4XlpxEtTYvy3xQIhEenKHFop4iTz7jm0uiO7N54r3QQXoVdfH8cxCXXUVlttxYgRI7jhhhs47rjj6NSp03dC8v3Q2w/OqEuBgzAMy5KupRnbWksURWSyWRobm2lXU8U++07k0UceYtyuu3DSSScxduxYAj+guaWFqspKYmOob6inrq4WvyKHjkMyqaSiwQII4peQXRBkq6jboArTGOKv1S9jDHEqR3XXqtKHaV44n5mP3cJi6hhxyrHspiDr+y6HW1CtpPUVwBLhjfun8sTDT/DZnHm0NDbRZJoZM2FHRo7ZlgFD+tOlfRdqK2rd+wOQECQSvJxj1fRzgausMkIxXyRol0JZWLp4EX069aRrt67gQWQsLc0QdB3IYZc9yE83+YrciplceflZPDrjU2TMFXTRC3n4vnt4YeoUTjr1FMZO3MUZpnEzc9yiSbUL8CrS+HjkvbDEFOai4fgEKJT1W4tQvsMkW0L5bbDBBpxyyikcfvjh3HHHHfzXf/0XmUymjN3//3XG/sEZdRzHBEFQvqEliZdCoUDg+y6vDCxbtowjjjiCxx97hP32n8hZv/gFW245HOV56DhGRKhvbKBdTTsqKyvR2omrizVoY5ycgwI8hTf/JTeYbLRD+TjMOgruBSdOronxqSSz+n2ev+GXnPW0T+bgy7nk+KFUhkBKudk4BSyHl5+fyssvvMz82Z+x/IuvkMiwxWZbsMPOY6gZ0J6N+m9Mp26dW+V4NC4ibkClcUbsCwbjRM5jTdrLkM1WoHzF/OmfERifQX0H0L66DgAv5RQ4gsp29N15EGM2GgQrAvqd4uOh2XDEjpy66yasenMy/3P7XVx07vnMeXsOh+5/OLU966AGvMijuTkkqPGwAYQ2Jq08fOXqzQI8l+5uixL9Dqmo0pLK93123nlnNt98c2644QaOOuoounXr9p2AQD/k9oMzamMMQRCU3bCSAoRSilTCw/X0M89y22238fhjj3DkUcfwi7POoF/f/iBgdEzg+5DJJCLuAmIRqwhSPsrzMKITgnaFj2L1/GkEXkBdG6NeV/PwwHoEXpps40weuepkjr/9E1p2voY7Ljiacd2SNzbAGy+/yvTpb/P57Pl8+vGnFFqK9O3dj70P25+Bm/anZ9+edNtoQwcMSSi7KdUzKMoicVoZIusc6MAPyograx3fNgrefXsmDaub6dK/J+muFVAooqOIVAaKS+Zy3ynH8WlnTbhiHu8sDonpydZbdWLzoe2p6bU/vQcP4tF7HuKRBx9gxqtvs//eB7HjQWPJ9sqQKQYUYkOsI9LpDBmVqEiLcqymVpUuTpLi4ltn69LSSmtNp06dmDRpEpMmTeLRRx/l4IMPpra2Fvg6fIVyTKbr+mKxmB8ACO0HZ9RBEJQDZb7vE4YhIkIul6NYLHLXXXdx4x9v5oNZH3LOOedxwokn0L59BwcqsaY8y6eCgHQqRRwX8RJyA7cGdWioRC3ZrQp9R8DXtqVra6hMJ88rq2mXBkWaKs+yYNrDPHXrZdz+nqXngTdzz4n7sfNG8PFz7zLjvXf4fM583pv1PosWL6Fnr00YvdP2DBw6kEGbDaZP3z6oOiAGKeK4rhWO97oE+QasJxA4FJeRkkyOkFIpvMAvY8ExMO/T+UQi5LrUlgXjSPDh5Ffy/mM38747E1J9R7H7dqczcXAdlWLxqnMMHTOcjTbemH6DBvLiw89z0x9v4NWZr7PPMfsxYsyW+IFPMYS0DZzeQIlArGTBCW7GJru+za6TrE3ZuCdMmMAVV1zBtddey2677UZdXd3XYCtcMQlNc5l87x1M/8IBW0zUlUETJzB+WA/qAmE9gmWss62XRi0lpJG15YIKSfDaQRCUWUdKfGAVFRU0NDRw5ZVXcvfdd6O8gLPPOZtLL3ZgutX1DaTSFWW/r20xh8IjlU6DGKzWqFRA4PmIjfGT2bpd720IkqhxfvnHvDtlCtMXNfLRB+54P3j4d1z5sc+Q0UexS68FPHPTRZxz5/s0bTiaA3ONNL5wM7+bu4zXp0/ngw/n06dbJ4YN35LdJo5nxFYjGTx4MF7HxLU2YCJBDNhA8NMKvxRME8p31GAduYJnCTzPreeJCPAdNtzaJBwNcz6eR9eeG1Pbuc5ZU9rHzziZXCo7suVuB7B1F4OlNz2325IJu+9EH9/iKxALttlQt1EnDj7lCLbdejR3/M+dvPTyVD6aN5sJ+05g/H670alPF0eQUABSzoiF1oFIW9Oq+GHF8YHTmq0oCem13XzfJ5/P07VrV0477TROOeUUpk6dSteuXVsrtxIL9f0AVESxfjZTLryMX95+P7MaSz0qoOO0BegrTmX/kT2oUpb1moNwfcpTl3KPcRw7jqwoKvN6lXKUxhhpaWmROI6lUCiItVaWLFkiZ555pnieJ8OHD5e7/ny3Oy9rpaGxSYxj/pJiWJQ4jh3AwUiZ8MpqIxLHIlqLaC0mKoqJmkRsi+hwtcS6IC5jGMoXb1wrh2fXykEn23aXfyZLJt8sh47sss7XAem+w3ny1iOvinzlABWiXU7XFq3EoZYwcoCTFhNKsy1KXkeOryxMtoTvLDKxFKQoLdIsTdIg9bJa6mW1FKRFIhtL2BQ7AMgSkbH99pBzj7xEFn/0lTtvCWX2o/8th3RAspsMl8vmrN0jtEgsYopW4ryVqMVK1OSeixExq6w8e/czcth2B8m2HYfLRQf+UqY98obEC2KR1SJmtUjcZEXHItpYCWOXkzc6FGui5H46oFCxWCzjDeI4liiKyvc/jmNpbGwUa63U19fLJptsIltssYXMnDlTtNYSRVErXsGKiF0mi/92sYwCoUNfGTVxP9n3wD1lm15pAWSnCybL200u8f/v7uv/mzz1ejVTl9QSS4oY6XTagfmTyHaJoADcyB4EAfPmzeO8887j/vvvZ/8DDuD4E45nxx3GEFtDFBZJZwJXqoeQSbvIaRxFBEGqrDtljZObUb4PIugoJpVy6RoPD6sjN6OkLemajRi25xbM+bKKXMrDUx6FpgJLF86nauVsprzwCauXKqpStWzcoxs1te3wAg88Q1DVkS0nncfIPRzXtjQYp8zoC9bTiDIO/uiViBFAPB9rfadWieO9ljXKn2xShOlEmCMbkyVF2k+BhYWffUVLc54uG3Uj16Eq8Xs9lJ9waRtNuDopzbIJXaf4GElcZuWqoSyCtQZVtOQq04w7cBdGb7MN9/zPX7jvtnuYNeN9DjrkcLbaY2s6bdiNbI2jAY1Ci/Us2UwKiDFG43lposjFQUq17caYcqqypIRijKG6urrMTnP44Ydz0UUXMXXqVHr37k0mkynXuRsLSsfYhiYaAdV7LOc/cCO7kueJAwZx5OcLiIxBvoGHfX1p651Rx3FMKpUinU5TLBaprKzEGENDQwO1tbUYY6ioqCAMQ2bMmME555zDq6++ytFHHc3Z555Dv759iU1EPiygLFTknKBSsVgkncq4dIm1BCJJgYUqy+OIccaSTlcgUQFRHsrP4eMhcUzUKHTptzen3b83pwG20dDS1MKcv83huSee5sW/XMTvG2N6b7QNFx++FWP32p0hW2/mSiCT9TcFMC0WP+Wh0p4juVYGpQyeVxLTs60VWAAYbHkRWtqXlDcmeHEPUOJjtGMjcWgamDljJoVikV79NqGyQwUF43j3lbIY7eR4rVFQ0r1KCMZU8gtGWawnWAxeIKQ9Hx2F2GZDrkcNR194PKNGjea2G+/gsst+w+bPDOeoM3/K8DHD8MM0KlBka1Lu3op2rreJCcOYTCZDKpUqu9Br8Lu14ZGL45jKykqOPPJIbrvtNp588knGjh3LwIEDy5xyCh+TriC7yVDGdqpj3vQ3mfL7J+ix6SqefUWoSB/BXjsOom87vpYQcr1p65P7XXKxm5qaysfV3NwsK1euFBGRQqEgIiJNTU1y9913S9++Dq551llnSRRFEsWRxCaSFau+kkhC0RKKtqHEJpTmfJMUi4UyttgaKyYyInHiAhdEig1FiZqiBLOc7M9HIk2hc2WLIoXlLbJ69lL5cMoMOWPiiTKm19ayWbuBMrLzFnLmfqfIC7c9J8W5RZG8iGkQCVc62l4bikRNInGziEncaIlFbBSJjQtidIto3SRaN4jW9aLNaontKolNg2hTEK2jNTcTSmSKUrQt0iKN0iJNUrR5yUctzsVuFJG8yAWHXyzbdNtZpr88S0REGiMRLZF8/sI1Mqk/0mPYznLF30TERiJxJBK7a2JikVCLFLSRFhNLsylIi22Wom2W2BRExEjcEEphccGdy5ciD1z2oOyy8S4ysmorufLo38oXb80X2+xogvP1BVm1apXExpRd7NK9KC21RByeP4qiVrx3HK/hhp522mkCyNVXX112wcsUzZGRKL9SCu9dIluvsezZRX591yeyIlq/XO+vc7/XK6Nui+fVWktTU1PZwJuamso83L/85S+lR48e0qVLF/nDH/5QPg9rrUQ6FCuRaImBfNDQAAAgAElEQVQktAVZ0bhMQp0XK7FYq5P1tBWJjdiiEVuwYgu2tQgh2eJ6IzafrHWbtJhlsSx8ba5cf8YVMm6TbWWzTC/ZocswOXG3o2TyDQ9I9Fmz48ZOuLp1ITFecT9XDK3kC7Fb0loRrd1xGB27taYuug/pvIhuSbZmMaZFYluQ0BZEm6JoHYkpb6FoU5TIFiSyRYltKHEUugGp3p3HgcMPlYlbHSafvDdPRESaYyuhtiVa7eTCRS6mEDv8ttEisRaJjJWi1lI0oYQmL2HULGGxSURi0TqWQhi570niAqJF8nOa5JpjfyObZ/rIHn3HyDPXPSbxwlAkFDGhlaVLVksU6TXW0qVCHBFxvOht9hcKhTLeW0Rk+fLlMmDAABk5cqRMmzZNRKQcW7FWpP6rT+SN2yfKcJWS7Jgxsn11ldSC0O2ncuXzn0rRdfh/e1///8aoS5U3bUdfY4wsX768PFvvtddekkqlZMiQIfLcc8+VO4KIiDZamgtNoqUoobRIXjdKwbq/tYRiTCQ6LoqJYxck0yK6WUvLyrzYFinPzuEK7UjoW0Q+fWW+XHnKNbLbgF1lUKafbFE5SI4Zfag8fuVfJfqoXsziWGyTde+PRIqNobQ0FiWOjRhrJdKxxCaSSIcSGy1G3L4oisRYW65WstqINVqsicVFmNxmjTuXUJxxG11MDFCLjbWYOBZrI7E2kjgMxRSNM7BmZ9g7bzROfn34JbJ03jKJRSRvRLQV0TqWKCyIiDsGra1oIxIZkdC6LbIikdGiTUGsbhYxRTFxKPmmRikW886WrZWGlqLoonUDWqOIrBSZ99xHcvzOP5UN6CA/2/Eo+eL1he61UESMSBRG0tDQUJ6RjTFrFOm07QOlgGnJUzvuuOPKs3Xp/hdjK9I0X2Zdu7ugKiQ16WlpKUQiskimXdRT+uSQDgdeJ49+3Pp768O2rrberKlLQnSltVQYhmV2z7q6Onzfp1+/fsydO5ef/vRIzj33HPr06UOhUHCpLj8glU6Ry+YwUiSKQ3LpHOAI96MwIvBTZNNZjLbExSKpdBo/45PLZJ0siwemSTB5w+/Ov54Zr73DwgVfoiVms8035dijTmTk6BG0715D0C4gSKcS0nrt1rQoMlUB2sYoFTueLozTufY8EIMJQ1Dg+ymnHd1WIzl5tKrtcx8p8xNBGcXRhkahRInkWevy6bELps19+1MK+QKbbTaEdtXVToZW3KFYFCgPEUXRGvwgKOeR3bc78pNAHHkSShFFMaGG6qpqNFDI56mqqCBTEWCjAoKHygRobeg1aiDX/PUWxj84hT/94U8cvudhHH7IkRx+3KGkN06Rqk4RpJyiqNa6DCQpca6bhKwCKKcySzj20047jVdffZWHH3qI0aNHM2LECAB0vpkv53/siBrSlSzPptiYaqqyHukAVs77goXLV0H/Lt97//1Xtn+ZUX+zzi9luty/hwhK8r/CSwXEST4zW1lJS7FAZTbHRx99xMT99mPu3Ln86lfncdxxk+jevRthGOJ5HplsFm00sYkcZa3yCVIBYRzhK590kCbtZxEt6BZdLngAIHDmsWjWIh577Amef3YKX8z9glycZZMNe3PiCccz4ifDad+jllx1BZmatCPRjxwZXz4fks2l8VKKOCqCFlKBjzWGSMd4uFy4HwTlixAErthfRzHKDyirbiXGLG2vk4DCSy5wG4treyETa/Q8hyATx7rLjBkziLWm9ya9yVZmnei8WJRNBgTlQnLGistJr3U/VYkDTBzjSCqVgnSK2Fj8z57iojOO5aEPs0y45i0u2rWOmpTGWCGoC/j09du54rI/8sBr8yhKFr92c+SBe3j++Sc45vxJjNljR/x2AWkyjq7JB+UptLYUiyG+r8hksxTCIrlMFrBYqxGrGTBgAGN33pnrb7yRZ597lhEjRriB0Vo27N4D+Ax9xwFs+3iOtGeIVn7JoiboO2ww/Tbuwppnuv61f4lRl6h51qTjahu9hRJ8L45C0pksRmuUAmsNQZAitpqiEuLAxxNFle9hlOLm/7mV6373ez6ZO5fbbryJPffek45du4CCTCbAisUS4QUeViCUGGsc/3MqSBOoNMXmiIwXOKRVELgCCg0r3v+K5555lqkvTmXenE9paczTv28/jjvkaLYauw0dunekfacOVNTlyjBNi8N0+FlnV9mcE3GzYvH8ALBYUaB8/MDR7rQarcJLLpIIKN9DJcaqWi8Taz5ViA1AORYWwQnaiTLl9zg1R4e5jguGdDbAxsK7788iU5mjrkuNE2q3LmVmEtUQpRytUiYI/m5Q9taAUyY0Sn4Kf8UcXr3jdI686k2WfFVPBCwtpDCSHKNf4IM//4orf/8/3PVOq/AN+YD30ztQN0z47/+6gKmPvsDxp59EtwEbQoXCOg17VOChVModJ+AFAZEOSQcBLY31VLerAeCQQw/mhZem8tLUV9h7vzkM6N8fXd2LTQ66kptXnsx/Xz6NL0vgk5oa+p5wFldM2pUduuGAOSW47XpYFPIf4X6LAhFLFMWk02mi0Lm+UVQknUpRCPN4fgo8D6s11UGGpijkyt/+hltuvIlCYxOTH3ucnbYfTa62BhuFFKMifipFKp1yfFgI2mq00XjWJ+2nCbQz5Fwu5yCRGurn1fPi8y8y/bW3WPTpQj7/9DM61nViwq57M2zkcLr07kK3Xt2o7FrtFCuUS3VZYzG+daoRic4VIvhtple3dHC57lYM8rq0Lx2MsrXKaE2K4LVhlEpczrdEkm+xLpeNY+ws86GJIkjyz4Tw+YIFdNtwQzLts+48pFX6p/X3Bb/En9b2N5M3CV7yGQ8PzbLP3uPlBz+n4/aHst2KG/jLSwnmPDF8b9Hz3PXAY9z1jsfgbc7h5LNHE3z8CPdffisv2Fl0n/ggu/V7mvtvu49PZn3KgT89hN33H0+2exqSOpdM4GEBa9zs7CnBmpjK6kp0WMT3PEaO3IbRY3bgjzfdxH333svFF16AqqyCyuHsO+n3DB61kpW4+yU1NXTtvRlDutaS8QzGrGsSWn/av8SoJenX5aWgKv9XegckQIMwjpJ8pAfKc66cnwJrSVtFdSbD4i8X88tfnsvDjz9G/wH9OffcX7LrXntixRJqixiFH2TxfR9PuSIGK4KvfFJeGqU9V1udnP3KeV/xytRXef9vs5j/6XwWzF9Iyk8xbIth7L7/XvTdtDcDBgygqkON61VeUnGlDcpPcqee49hyxlUi3/86N66UY1Vf02nWtfObXMJEO2oN97t1kklsE2vEqWUYiPOWLxd+yW4770a2qiSO9XXHLOVXv+l8QKjssQV7/OoGxm3Umc+uuYG/rPWN+pO3+eDThdBtX/Y7+RSOm7AB0eY54tf/wnPPL2BVrjuHnnwE/TcdyCP3P8qNf7yJZ1+awtEnHMXIcVuhsqA0TnY2dl6HUgrP97EUwBjC2OW4DzjwIF6e+gqvvvwKXy5eSocO7bFWqN1oa0ZttI6ztAaTjJ/rqT0D/8KZWpKSujKOv7RTtekwgY/S4Ac+LcX8GiydgR/geQGfTn+H8399Po8/+xT77L8/J5xxKqO23pbGOMRPpcsSLJmUj2jQBRf4CQIcIszV/BEvaOatadOY9c57vDvjPT6d+ynZXAWb9OnDPgfvw8Chgxg4cCDd+3SDLA4HbctsvFjPll3nUvOUl4BCvmt3+L66TttIWpvrWcKy44o3TGzwMgESC18tXcaqFcsZuukQFzBMdK7+N8dgjU/NBn0ZPr4vNH3Joujv35Uv5LGRIdO/O137uWqqINuBDXt3hSdX8eb771I1YWvGHLYTPQdtwtOTn+H+++/nt5dezrgZY/nJ7j+h9/B+eJ5CQo1f5TD3n8yZQ8/ePcnkaohMTGQN22+3LeP3GM9NN9zArbfcwoUXnE++EOIB+UKRTPqbWWDXV8P+lxl1CfHkXO1k59prFito62bUUGvSmWzC9gmxNUx/8XkuPPtcXvvb3zj5hBM49fQz6NGnN4VCkWwqQ6GgCVIeCp84AqXFFeEnaovh/CY++/Rz3v/gfea9+xGvvvIqhSikV5/e7DpuF7YYOZwhWw6lW7/urlrJABbCohApTTrriio0Bt8IQRsraFu//e8rzv/7WVaVZmyV6GRax5b63swZiNX079uHTCq9pif1zzbVCuUtxmadwCwH8wXRlqgYAzmsiSmVRolKhsUIem7ek+OHTmLA0P488Jd7eOCev/Lu29PZa9+9GLXzaOo27oxu0TzzzNPM+XQOXibNNjuMYtPBm5FO+/jAuLE/4eEHH2LyE5M56xdnk81myOeLSbdrE21c57VcH036X+h+uwBOsuPvvM5SVZRQDEOymSyZTBZrFWnfo7HQwlNPPskvzzubBfO/4NcXXsDJJ5xI+w6diJsKeICNNIEScmm33vI88AJFYXmeBfMWsPDDz/l82ke8+967fPjZJ7Tv1ok+gwex/Y7bM3bsOOp6dXJrZA83IzcLEii8DHgpENG0SESgfEDwPX+NCHNbQ/5XG/XXkQqUl8fiqIN83629dax5/dVX6dS+PZ27dmyFqP4LmtYWa8EL0qQzbpa1SXyBwKd/z40xJdXbyN3HHQ/YkU2HDuaRv97LU489zu9/eyWzZr7L/sf8lMpcJZf++r857tSTOfUXZ3LC6Sex8cab0LGuPQLsNGYHDj3kEK699lpuveVWTjn1BLCWbEWuDQ/72kbdNoi7/hn2vy5QVpqp19hVmhvc9C3WUJmrII5cWWPG9/hyyRIefuRRrvzNb1m5cjnXXHsdpxx/As35AvUNjdTW1qAjQUWWbKUPMej6Al8tW8bKBauY+dpMXnr2BRbM+5yqigq699qII0/7ObuM343uQzZ0RhzhAmUKJHYKjCoA8QzGCnhCSjnlCOUZfOvje05Gpu0J/SfR55QMWpHwjVvjuMR9N1PPeu89Bg3oT7pd5u8TEf+b301YRzKZDKmkWtRPZUkqIanMZQlSUKxvpKUQASlUSyML5tSDgiBIEVrrVC8rIGrUBNajY7/OHHvmyYzefjvuvecenpz8JO/NmsUOO+9EvrnIyOFb071rd7p06EraT5FSYCKDn/bZYfRobv7TzVx77e855pifUVlVQbEYk0r9R8SJv/f2L81TK9Vm2VamuGhd96VSGaJI09zcRIcOdaxasYpLL7qYP//5L/TYcCNue/h2frLLjjQ0O56xyoocFgiLBl80yz9dRrQ05N2pb/Ly08/xyZxPsJ5Ht149OeiYw/jJ+N3otXVP51pbyK+2eL4inVHgicuDKgMepFJB4iIWSGdS5IIUOd9D64hiVMTLpFCeC8DBmm63yPdkId+xlX+tFBgrGbSo1oHTJO9UCpPXLFm8iF12GkdQFTjGlO9hPFIexC2rWLV0KYu/Wsznq9z+VZ+/x3vv5ujRewg9+gxho67d4OU3ePGpx9mle18W3XMPtz9dj7/BZmw9qBOoOAHdKGIilErhFRT4igE7DuOC4UPZ9omn+cP113PF1VfhZTJcdcVVdGzXgW4dupHz3Fo5LMSkjLDtqG0549TTueSyS7nrjjuZdOLPHaljyZMpn7stX8f11/nm/6agowTnLD9at8XWSFz621jRWsQYt+nYSlSIJSoaESvSuLJRRo8cLT6+TNhtb/nonY9ERKTYaCVscpDDaEUszYuaZdWCFfLE9Y/I0dseKtvVbC7bZIbIwX33kJuOu0I+m/yRyApxsM+iiM2LFIoiLbGrxYhEpBiKNDRGUihosVZEx0biMCHot0bEJhUMUUFMsUVERyJWizVGdBvC+RJGuYRRL9V6f9P2fUAFY23dZrTERovWsWgdiY1jkUi7IoyidYT/TSLz3/pE+mQ3lsd+/4BEy0ORVSLSZCUOY1f0EscSx/8oIb6ISCRfvHGjHNNx3bXio38zUz6XxfLMKRNkq7Vf79BPBh77hCwVKde2R3EkOtZSbC5I1FgUWzQORtrs7n+4oigXnHqBpMnIwXscJkN6DJVhfbeS2W9/7IpWStziIvLaC69Jl9quMqjvEInz2tXJh0ZMZEVrk2yxxHEosQ4lNpFoE39j//5P2P7PYKLW2nLtq9a6XN+az+epqqoq18KmUilirR2LhbWIEYKUq2e2Re0ADWlY+vkStho+gkWrF3Hqsadw9rnn0qVXVyhCyhMkFpqWtPDRyzOZ+uyzvPH668SxpmuPrpxy1pkMGT6UPpv2J9U5Xc726FCII0u22qfE5KNIgr5pyKRTqKQu2AuSUL2RVo4dASQJjcUk5IDKaSG3YeNIBkqAMitL231tH7+voForz56r/y6jzgQcNYnnUGdpRaElz2uvvU51dRU9e/fED9rIBbU5h1Ld+rqOce1zbf2MkMpUUNMJVGOObJuvjgoFanOWYuMG7HLFtbBRlgv+cB/TvvBpv1F/9jr1cq44YzwdjQFrSCfYAsHgZxwJWyJZDykHiknXZph42MFcce1VNKxaTdiSZ8HCeSz8eD79B/bDWJdb9z2PTYdsypmnn8nFl1/Mg/c/yEFHHEgURXhBQBD4yTl6tOSbQUFFrgIrkrCwtAZE2/Zlz/O+RqL439u+Fy0tz3P46WKxiIiQyWRIp9NlKtc4jgk8Rz1TWVWFJyrJS3uYoquhDSrT6KJmyuRnOPDQA2jWBe656W4mHLgv2axDbBWXFZnx/N+Y/MgTvDNtOlG+hd4bb8TKVStJ11Ry/sUXMHfJF4yesAMdN+7IqtXNRAba1VaSCRTaWvJhES/rYROSAb/NYj8gIcPDUdh60oaof81gAMZaR1TQFuHVJgIOa7rha79Wev376BCe7yO0GVhsoscl4qRj8fGUC5Kt+HIp55xxFnM+/oQXXnuFtATgK6hSSLpVt2vtQQhaKYXWPvZWo3aaYmKtM4iEYqr8XqVIf40xlAcQLMSW5MCxHk5ADw+LhygPozVWW2qyaeZ9/AX9B/Zhyz5D8Yxi+eKlBL7PUccdy1En/YwuPbtACORgxpszGLPdjvTt25vX33qTXFUWAii05MkXC1RVV5JJu8V/MSoSx5rqyuqyIZci+yX++BIX3r+TvfT/TMo2iqIyE0mJuK9UnB6GoSPS9wNS6TSiXQFAsRCiPI9szqGZCvV5rrvqWn5zxeX06rwxz055ga59umEbIl59/iUee+hR5kz7gPzSJoJ0ljG7jeXoE45h7pfzOfr4Y3n2iWfZafcd6dCuA7ds3puOXTvSvqoKfChERZqKMVVV1VTmMrgukkTcEZd7FkHEJuCY0mwubVb8riWgrQTC+c3X5dsGQ6XUt3aI7yJOGOsQq1oHKJVEk31xM5COYmIdk2mXRadgyYqvqOvcHpVWkPGSmd2g9d8PUl/nTaxrn4ibyUqf8TyvzFziXm8zCCjlAo2tny4PRJRIHJwzVJbLLfnqfhCgPGFFc54FSxaS8bNc8N8XsP1W29K0ajU3XH89t996Ky+89CInnXwy4/cdj5/z6dWzF2eecQa/u+5q3n77bUbvtB1LvlxKp84d6VBZQRgVCeOEm9xTVGQdWWWJxLLkjZbu2X8qFfH3YtSe55VHMBEpG3kQBGVaoagYk0oHDoOtDbnqinLUbNXCVfz6V7/kvgfuY9+99uX3V1/DsqXLOO/Es5n13vt8Pu8z2lfVMnrzbdj15F0Zss2WZDaoAN9j1hvP8UV+GRtvsSEbD+7HPnvuRZ9N+1AotiBaU1Fd6XLVgCcaG4YEKZ+kdAlPgVE4FhPPIa+NCMZqwCHSSul0z3PerKdAx+JmE2QN42zLztH27//LPLZK4o0l/mxVkrRNKI68IHAmEUP98pUsWPQFB+x7AF7aLSsk1tg2OIxvcr2/6dhLM/O63PXSZ8uzs/w9L3ry62ASrmPrYX0wnmC8EpeLk7T3PY9sKqCxqYFMRZodx+5IRXUl1d3q+NVvL2GPffblqiuv5hdn/BdPPPY4Rx//M0btOor9DtyPi666iJNOOIH358yifbtaAs+ZQZByE1KsNVYEFfik8Vy6DTfAFovF8nX5d8/SX9e+t+h3yZjjOAblUVlRAUAul0MXGsHPEcWaTCbFitUrmT7tb64MMoy56fobeevNNxg2dEu6du3GwYccTsPq1dSvamCbrbfh58f8nAGDBlLXuT217WsJqtOQgkJDSLY2Q6hX8N4HHzP709k0PthI7017s8OobamqqYZYE0QxAR4qhkACsK6wohT+9EuFEGU8mCLwfUS8shxqKfmWFCQ5eGiyYG87E63L5f5n3WxJGDO/bRCw4jSjSy4v1rgiDgFlFUHg46V9Bw8Vy4pVK5mw3954gc/Kxcup7VyHCjySEPnXegff1oFLHb3t8a/hfn+nc6bMt4ZyM7Yn4NvWWTu2hjgOSXspxowZzWtvvIyf9WnJN1FRXUWupoKRO23NjX1v4MmHn+TBRx7ktBNPZZ+J+3LuBedy+/W3c+xJx/DcU88xbvw4dGQoNOYJ0n5SeOMRpFLEOsYXD6NNmVqpdH46iQ2tMVD9h7TvbaYu1bzmKiuRxmXMvvs0Trrjc9Ipn53PfZCfjUxRl4EP58zh+uuuZ8qzU8gEaVJ+wIqly6ir60hFRTVfrVjBdtuPZsSWI+i6cRe6de1ObZdapyG1Vsu1zzDxoAlI+k6eePxRrrn6St6e+Q49evagusIBG0inUelWdIUqn/KaetIq2fP/2juzILmu8o7/zrm3b3fPvmg00mg0mpFG8iIsy+CFIEOK4AUnD4RAcCplTBJXlgeSFEslocCQSkEeHDBJQYIxWSDBKFQRFuMFB/CGjDCysRbbWmxJMxrPWJK1TM/S6z3n5OHc233V6lnAY2u6c/+u9rR6uVvf73z7/3OqX6yF8MOvrq5yyeCKhYfeZzNZfvi/P+ILX/giwnWZys0gPEFXXzelko+XcM/jLn+1qCXkC36n/Mx+TwavRVs/PSHQCTuaKJFKsvkNm1G+RiYFSiichMRJuKy6qI/f/+NbuOxNW/ifb36Lb3zt64yOjLD1yitY3b2Ku//ly7xy+hVu+q3fpGtFJ9ncbNnqVMon4XoILVBa4fs+WuuyKR6OcEokEsuqPgGWKFBmgkkYQjh4Hhx74V4+9Pb38O1x+37PJ57kqY9sZaDD4zOf/Rx3fu5OzhyfIAhNkUqkaGtqQSBpa27lxutvRGiB4zm4wsHFIa/yOK12QFxmNkNCuvSvWUNuNsfszAyjIyO84bItjI2Ps6a/3xYxFPIkm1I0NbdQLJSYnZ2lOd1K0uptCKrOhCPsFB3HYAS4joMbmKCOsDzfrrR/HWGndBSNwoiK6xH+2OHz8LqFpnn1Z0QwICB609e6rqlUamETT1Yi6VLKoDDGMpk6ToLsTJZHHnmUL931JfY9t5uWZCvXveN6PvP3n6azq9NqR8+x1yAonwy3Fd6wUkq8YHGsjtxH/0ZHHi0n5I/n2PGTHez6+S72PruPnbueYDo3Q+/qXi7efCkf/auP8MYr32jrFtzked8PrQ6tdZnNFC68X/2aBcrCH1m6LugJpvc9xLfHIdnUzHVds9y//UH2/8XFDODx4osvcvbsWZA2qOYXi+RKBVY291AslJiameJ7932f7MwspUIJgSDtpcgVZykl8qi0olAq4jkOKc9D+3Yq5eqVvTz28MOkvRRFXzGTy2FcB+1Iihi0FKB9UA5p4+Ea7IwNYQ1vLTQEPciOlFaojcCVtg/ZkQ5uICjIYHJjRJCij+qSUVHjc9FA0nzXNZlMzn/jCBt1JrofIRGIQLBdisUSIyNHGTl2BJckhUKRBx56gOnZadLpJlzPwQgd/I7nHnNUYKMNNlG/O3qe0dhC9DPVMYfa52Lrh51g3pkwEol1LcL+7UqjqrFlx0KghcHHgCtQGPAhrT08ZWM80pE0p1uQSF44fIhdTz3J2cwkWT/H1OEp9h8+wKo1vQxtGKS1tYXvff9e9h/YT0dHJz2dPVyxdSuDg4OkUqmqw11+ixcsgVCHnMwAroSp0ZN8754HgRZcabj5cnjo/u08dvjPuboH3v62t/DDB3/A+LER/GKRjs4V3Py+m7nmqqsxvqaQz5OZmqattRW0QPklhJD4qkhOzeJLHy9pObmnJjN4rmd7mKVDPpcjIT185aMAN5kk55eYyeeQnotIJFD5Ek7BII1BG4XRBq19FMo2FRhj01VaV8gdgii4CHpINeArXfbBQ1QbPaGFE309+jxM+c13c0SpfKL58HO2LSTG6KC6LTgqbZBIPNdDKI2jBRKHBC4+PkWVZyqTQbqCzEyOkl+quZ/oMYcUQtXHED2WqA8darboa9VxhnO3FcY2gve1wAR5a7RBGG0jlcaepQriCFoY+9fVlr1Fg85r0iKFl/AAg1/SlEyJlpZmmprSTPnTuLi0tLQwOZPh+eef58zps6xetZoH7nuAXU8/xQdu/QD/+q2vsHbtWu6++26gMpwvykG/3LBkxSeO46Ip8vjPfsKXvzMGqV9D5XcysGUdPHiQ7/7gCB9Y38Itv/texkdf4v77HgAheNuvv42PfPjDdHd3LcWhLCuEi91cCG/4uRAOgYsKT7Ww2A9aH89OtVTYmTwaB5e010R2Kst9376Pz3/2To4cP0KL18q2N1/HJz59O6v6V5IrZCmV7FCuWsIWCnX1/sObO8oXFgaOwtejOV5jKoUc0W2F71fOR9j0orZsLMpXaK0sY00g1IZKYFAbE8wMU2hlF+BivkBCJsq59UKxSDaXpb2tldnZWb6+/RscPvwikzMZAC6//HLa29spFksYZehd0cvw+mEymQyrVq0q112E8SPXdcvnsNwE+1ULdWgiFos+Dz/8AHd/5YvkZQ/pK9+O3PVzij1vZtgdZf93tnP4fUNctLKbj33sY9x6660Ui0X6+vos20mxRvNtiCD0HJqurwaCStPBfOe0UKhhMccxn2m9mPeBsh+7GFSWB2UrsXABSUd3J+9+z7s5+OwBtn9zO7/zrnfzl3/9IYdPJNMAAA+JSURBVDZu3WQXAGFYJiQ4rwsyUxmGhtdz1113MTk5SW9vL7fddhv9/f088sgjjIyMkMlk+O/t28lms9xxxx34vk+hUKC52U5PcRyHYrGI4zjLbtD9kkW/z549y4P3/pjv//gQbvda1q9rY/xpl099dz9XasGLe7/O1558P0N97VzSZujp6Sn7aUopOww+GJNyHpbwehkI+M9e3eq6mKKQhX7oxSwe1fnu6HO71gmUFhij0EIjQgYWpS2/Gx7Cc8hlc0gh2Xb1Nv7pn7+A0+miCgpfF8AFy3I0f066eph7te8dauXq92pta75rFL22tfL7tYpZqrcTjmOKxi1yuRyu69Le1s4tt9zCtm3bOHXqFFdccUV58dy9ezfT09N88IMfpK2tjUcffZRMJsOaNWvIZrPl4Kfv+6TT6WVZJrpky7OTTLBtUxPjm+Cbh8Y4dM/fALDz8b3sBOAkj+84wJl3bKaYLKBwSKVS5TE6YY34fFhKM2e+H2Ix+1mMUC+Exfhk0ZEz4d/zvhP5jCwXSkClbQtePnmcn//sSd6w5TKcLhc9pZktzNLa3UxJ22KhMKU1VwVZNFD2q55P1MIJTddq332h/UQXulrHW+v1MDLv+355Zvng4CDDw8PnfHfHjh309fXx1re+lXvvvZeVK1cyOjrKpZdeSlNTE1prPM9jenqadDq9KGvr9cYS+dSwsmuaXneS8UOAl6LZlYFvZBBCU5zNc/yHj/Hsn1zLVQP9pIOSTCFEWbAXMmmXakVc6IdYzH4WY34vZnFYzL6i2mBRNeTaBIGlMMsLU2emeOXkaTYMbYQsyLSkrbmNkioE86psE0u42bmi1PMF00KtON9napXG/rL7qd5GtfBCZWEoFAr4vk8ymSxHr0NfPhx7HGYYHnvsMSYmJiiVStx+++2cPXuWT37yk9x0003l74Qa3fO8OSvoLjSWRKh9Ad74C4zue5IdqY1c+vH/Yt9HNyOSzUxOTtLZ+Qy3D7yXO8bu5/Fn3s91b+pn0M+TV4bm5uZInnv+i7NUF28hiwAWFralOJZaN3itz1Sbm9XPpZRo49uab11hSRPC1qiTg+OjE3iexw03XG+d7xKU8NGuKXN7G23Tg2FZZPX+o5hrkYle2+prGJro1eZ1LbO6VrPHXEGpWmWoob+bTCbLbl2xWCwHuxKJRLmbcHp6GiEE11xzDU888QT5fJ5SqUQqlSpvL5yyaYwhm82STqeXbaBsSTLnnoATh37Bjof3wMpe3vfOa5CpZmZnZ+ns7AR+gxtvdmljjPsf3csLoz5OqslS81IpXqmOvNZ6LAWq88q18syL+cxCj7DYZK5H1A+d6wHn5oBrbktWFgdjDGhL2CuNJVo8c+o0o0eP0drcTmdHFyRg8swkiaRL0kuSK+RBWO3mJtzydsPimPCc5/od5jr/Wsdbnbuu9r2hIkC1oufVi0kU0Yi953nnLCJKKRzHunzhe7lcjmKxSEtLS1mL+76P53m0traSTCYRQvDSSy+RSCRIp9PnLC5L4YK9FliaijIEhZnTzGTOUHQ7aGrvptkp4Xlh4Evgz7zM6akifrKL9pYUrUkXAtPbGFNOGSx4wMtkVZy3iAJ7gy0mRrCYLq3wJqolAOXPGYPSCmFs2kdogUMCkZTsfWIPd/7d5xBI/v1r/4FoE2ip8dH4soTreHjzFcFgNf9CeffwnOZ6zxhzXsVZrUW72j2qpQ3n09jh80KhgOM4ZVM5RLFYLC84Ukry+Xx5v6H7EE25hY1KoXYPffPwXC5koOw1qygTRpNs6aapbYV9QSuUiQY7DIm2Pla3Bf/Syga0jTnnB1wuArsYLFXaazFm/nz+c/h+Lpsl3dSE8pXtOtEQ0oqPHxvn2MgYN9z0TkS7AAUyIW3PuOPiyr3c80ef4j9/eojxtEcCwC+Q793KG2/9W+65dVPNiHT181rHXn2uc123Wm5GrSDaYq8bUK7Lrt5n2A8dvhf631E3IPztQsEP8+jRFszFHsfrjaWJfgs7Z8KOdwFbO1y1cmodyUydf1Msx4tTDwgtISmlbSM1BsdxMcpWxwFkJ7MUC0XW9q+xzKFFAqFXIB1gluPP7eEXB49yKrrxZ2fIXjt13j5/Vfyyi/arvSfOcUlqHMd8pnz1QhoV+OXoR0fx/6fioIER5vi1VhiM7Qs32ga8ZuH0idOkU02sX7+hkvM3WI5tY0A4uMkEkGLzu/6U3/vtbQw7s+TTPfRcsv5CnlqMXwGxUNc5rGlpI7rK920XWfifIzk5doKRI0fp6uxm08aLLHOoZebF8RyUsG0SoCnRwvC17+W2P7iW1ZF9+Eojl69iilGFWKjrHEIIEoGPaAy40preQkpIwOjIKEeOjNC7spfuvi5LmugDnu3usqE8A0g8pnjuoX/jH/RuBsQMonuIS976Lm7YmIy4VjGWO2KhbgBIIQMfWtjJoLkSMgjkjB17iZMnTnL5lq3QAuShTPJgQAlNAo3BIUmRF3/0VT7/o6/aDbdezHu+fCM3bEyxpLW6MV5TxELdIAjpdWxrYmhSw4mJ42ilGdowVJ7YGc5Q0Bq0E6Sp0PhA+9AWLhpaTauaITl4NW8ZWJhVJcbyQizUDQIh7DhX4/uWy9sVmEnNybETdLS2c8klF9tKMj9IdQnbvVxxlRU5urj2ts/yjx+/nkpFtO0vj13q+kEs1A0AIQ1u2MjhG4RrmU8zJ8+SOX6aFV1drFs/aNNYBnwMjivQRuAFQ8SsAjeU8jNMFQFPh30isUDXGZYHc16MVwFL9eH7RUAFs8UAAWOHjpKfmGRD/wAdPe0oH0Q7iA7BFIqSMEhtHWypIWQeiVHfiIW6AWBQSAeMr5HCJdVkdevRA4eZeuUMq1f1QgfIFBgHikLhowMKJwAVxMGqO6pj1CNi87vuEeH+0qZCcWzgyIujlJTPmsE1Ze5jv2RQUiGdYD03Jcht4c8e+AV/CIhkkqRrWKa9CjEWgVio6x6WNVT5GieRgJKwWncaMpkMK1b1sHZoAADjG3ztg2dlPKBEAOmRaEnbedLGlMfzxqhPxELdADBIhDCVDg4BE2MnOHXmNGuH1jG4fgiK4CuDkdFGExV8x4WA6C8W5/pH7FM3ADRBmWi+ZFlPHNj/3HOMvzROV/9qUms6MD4ICY5jx+8KNMaELKA6DnE3EGKhrnsYlK+txKqKnn1u37PMzEzT2b8CWkE4gUBLO+9TAg4hp5gp0+7GqH/E5nedwyDQ2qCVQHqWeAJg/OgYXspjxeqgx90BIS2fNsYghbDNH66MBbrBEGvqOodAIqWL8nUwuRI4BacnXmFg3ToGBgftMEtjs9AmGDMkgnE2hqCqNEbDIBbqBoDjuGhtCN3jk4fHmDp1hqHh9axZ12/jYSFnQlAiKo2xwbHwEevqhkEs1A0AKSTSsaNdMfDC/oMUsll6Vq0k1ZkGWbbKCed4OKYypD6oO4nRIIiFukEgsL4xHux95hl0SdE30AdNRBxmgwlpeYx9WPNbntPaEaO+EQt1ncMIOxTSPgFcOHTgAJ0tbaxYZYcOKg0ENSlhZ1ao1cOvxX514yAW6nqHkWhju7LwgVk4OfYya9esobe313ZlaQjncIeijamEvGOBbizEQt0AcJzAZxZw6rmXmM1Ms2l4Iys7VqCUbeI4z28OZRvQIk5pNRJioW4QaA2kYefOnaiCz4b1G0i0taAsWSjzlXObyCNG/SMW6jqHnZwBumRAwP7nnwcjSK7qgrSNcAvH8vubwPyWRldtQYYl4zEaAHFF2TLHwoT2NvnsJmzEa8+uPWy8eDM9q1cRkJqgVMhFpnFRtgtTCBASiYNjBMIE5aKxvq57xJq6ASAFCA1kYOrsFP2D62jtagscZtvj4WPQaERQTWZVsyUxkrEcNxRioW4ACCzXwZmjJ8jN5tgwPEx7dzuUQCpwylIrKo9w1m2MhkMs1HUOYUS5rXLX009RVCX6Nw7htifBWC3uyJAZ2Ap0rJgbG7FP3QAQGkjAEzt/SktbK619HXYQnrb8B1VDYM/9lwnc69fvcGO8xoiFus4RCiUGdu/ew8DgIE0dTZWh0sF7lkE47KSGqJEWR74bC7H5XecQAAZKp3wmJk6wafMltLS12uoybJDMaJu0Ch+mPKYjRiMiFuo6hggKuo02HDk4QrFQYMNFw6Rb0zadFVSaSaxGl4AJRvKYSBWZiDR8xKh/xOZ3HcME9dumZHjh+YM40qG3bzVek6ULNVjqYEeGHVnBEHbA9mNKQr7CsCUzRv0j1tTLHMYYlFIopdBa25lZUgYD7jTG12it+cnDj9He2cnA+rWIhADHDs3zS9YOF5iIRpbnNHGIWEE3FGJNvcwhZUgOWPW6kAhHIJSEkmbi2ARr164l0ZmwM7MEJJoSYBQoHyEqfnRUY5fbMIm7tRoFsaauAwghyg+wGlobXQlbn4GXxya47LItJNMpjAQlTEBRFPAYaeuDGyRa2M6syg5i07uREGvqZY7Q5AZrimuty2N2HMfBKMPYoRFyM3ku27KFVDKJSIHWCr9QICEEjutZl1mHUbNKy6UTMvjHWrphEGvqOoQxJmAwEfhFn7279+IYl43DF+E6nk1jSY0RumJSRwX3PB861tSNhFhTL3NURuRUzPDwNSkleT/Pnqf30NHaxoreDqQHOaVQUpP0XFwtgmZrpyzYRoRaOtiwCf4X14I3BGKhrheU6X0FIhgwjwC/4HPg2f1sGt5Est3WhPpGYYS2wTFhAhKz8+pFg+1Gmz1iNAJi83vZ4dyiTW0MSmuUtiktAIlEGhnMmxeMjo1wyeZLcVIu+bzGEQ6OcPC1QitVs7hbRCtP4jrRhkKsqS80Qp7eaFtk5D2lFdpYBlDHBMUivkGXNBLJ6MGjTJVmuHzbVlzjUlQaF2k7p43BB9ygSyt0q2VkQKYJC8fjaFnDIBbqCwgT8vQKAuYREckZBy2S0iaiHATSWIfYlAyiBPlSjqd3PoXT4jGweRDpSDxPYtBWeB0XIwyKoOEyUMqOqYixRoA0cQFKAyEW6guEUKDDWVZh0KpctmlAC4Mj7Xh4iQBlMFojhQMJyJ/Nc+DAQbpWdpNq8aAp0o1lbNWYEhptRLkUVBh57n5EJNMVC3ZDIPapLxQiAjSf0RvWgAXj7WxcywESkMvk2LdvHxs2bKC1q9V+QZtyQA2ETX8tJhgWC3TDIBbqC4QweyTKfc6ViHb5M8Hfik4PaMXscGlwBS2drVz1lqswzaZcD37ugiECxpO5RVogapaixljemOs3E2ZhusoYMWLUEWJNHSNGgyEW6hgxGgyxUMeI0WCIhTpGjAbD/wGNBCvv/nEY4wAAAABJRU5ErkJggg==)
To obtain the radius of the incircle, we know that the points D, E, F are the perpendicular bisector points. Hence, the angle must be 90 degrees. We can now apply Pythagorean theorem to obtain the unknown values.
If a circle is drawn through the point of concurrency of given figure, find the radius of the circle.
![](data:image/png;base64,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)
The points of concurrency are D, E, F then P becomes the center of the circle and that circle generally called as a incircle of a triangle. Radius of incircle can be found easily applying the Pythagorean theorem to any one of the triangle.
>>>>
>>>PE = 3 units.
If a circle is drawn through the point of concurrency of given figure, find the radius of the circle.
![](data:image/png;base64,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)
The points of concurrency are D, E, F then P becomes the center of the circle and that circle generally called as a incircle of a triangle. Radius of incircle can be found easily applying the Pythagorean theorem to any one of the triangle.
>>>>
>>>PE = 3 units.
Find MP in the given figure.
![](data:image/png;base64,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)
Always angular bisector divides the given angle into 2 equal parts. Then, by equalizing the the two equations we can get the measure of angles easily.
Find MP in the given figure.
![](data:image/png;base64,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)
Always angular bisector divides the given angle into 2 equal parts. Then, by equalizing the the two equations we can get the measure of angles easily.
Find ∠DAC in the given figure.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQwAAADmCAYAAAAgJLvDAAAgAElEQVR4nOydd3hU55m37zNNXaPee28U0XuzqQbjig3GLT3ZfNn1bjbZbLJpXzZls7vJZjffprqDKcYYjLExNs1gOkhCvfdeR2U07Zzvj1eDwMa2BBJq576uuWRLR6N3mJnfPP2RFEVRUFGZArSYoagTDldCcRek+cH9sTDdDwzasT7dxEA31gdQURltHApUdsPbFfBGhRCNJSFwbwSk+6piMRxUwVCZ1FSZ4EQ9fNgAF+ohtx0yAmFdNEzzBzf1HTAs1H8ulUlJUx/ktcOpeni3CvJboMcKAZ7waDysjQJfl7E+5cRDFQyVSYXZDuVdcKwO3qmGqy3Q3gtWC3h7wv1xsC4KQtzH+qQTE1UwVCYNFSY40wAf1sOFJijsgH6L+JnWBWYEwcPxkOIHOmlszzpRUQVDZUKjAI19IpD54YD7ca0FeiygSMDALd4XNsXAvGDw0o/xoScwqmCoTEgUBXrtIj16tFoENgvboLYH7LaBiyRAA36uIsj5UBz4u47lqSc+qmCoTEhsssh47CwSglHYCdgRIqFHmB4O8HCBRWGwOQbijWN65EmBZqwPoKJyOyhARz/U9UCvDQwaQIt4RSviptdAki88lgCzAsf0uJMG1cJQmZAYNDA7SLglrjqRFWnqFa4KMmgkCDfCmghYFgY+agp1RFAtDJUJiyKLcu8ms3BRXLSg0wKKCGwuDhNZkXDPsT7p5EG1MFQmHLICVd2wuxj+XADl7RDuDfGBIuhZ3wtJAbA5FuYEi7CGysigCobKhEIBKrrhhQJ4sQDqusHTFVZFiFLv4/Xg7SJSqMtCVbEYaVTBUJkwyIrIjLxSBK8XQV0H+HoJt+OJJOF6+LtBsxnujYRgtZpzxFEFQ2VCYJXhSgvsLIbXCqG1G8J9YFM8PJ0MMwJEDMNDD/0OVSxGC0mdh6Ey3ul3wKUmeKkI9pSCqRcijPBQIjyTAmm+QixAWCEgsiQqI49qYaiMa3rt8FEj7CyEt8vAZIYEP3g0GR6Jhww/UW/hRBWK0UUVjCmBgtxZTW11NVUN7XT02LDKCoqkR+9uxBgQRHBoCEEBRnzcdOPmRdFpFXMsdhbC2+XQ3Q9pwfBwAjyWCEnGm8VCZfQZL68NlVFCsXTSUZNP4dkTnL50jasVrbSYrNgcCopWj9bFG5/gWOLnLGHBiqUsSg0kbBw0Z7X2w4k62FEIR6ug1wrTQ+HxZHgkDuK8QataE3cdVTAmMXJ/A7UX3+PYm2/x7sV66nUB+EYlk5jojpdOg1bbR2dVCeXX3udEcy/tvomERAYS5ju2527shaO1os7ig2rot8OicOGG3B8LcV5je76pjCoYkxV7C+35hzn6yh/5y8ECSnzvZdHDW3ji4RUsTvTD36BFr+um6aM9HPzN73ilJI/8ylZquoExFIz6XninSlgWp+tEP9miCHgyGTbFQrjH2J1NRRWMSUo/5ooLXH39Fd44nMM1l7nM2/41nnl4PquSffC5bsr7EhabybyZyeTZLZS5aVDksTmxQ4H6HnizAnaXwIVaMc9iZRQ8lSJG6qlTssYeVTAmHQr011Odc5rDh69yuj6YgAe38MRj97IhQcsnxkH4xBK35kkeSTfTEBpN2hi0gMsKlJtgfznsKoLsRjGc954YeCIVVkeo8zfHC6pgTDrM2E0FlBVn8VGVhMlnDosz5rIwWPNJsQDwCMRn3iaWygoyWjR3OevgXAGwpwReKYSiNjHDYm0MPJMKK8LVCVnjCVUwJh192DrKaGkqoVEGQ2gsgVFR+Bk+I6Ug6dBo737rskMRE7NeKoDXy6C8FVxd4YF4IRYLgsFTFYtxhSoYkw2HFYepjV5TB2atDq2vNx7+nuNu6K1dhuxWeLUY3iiD6hbw94IHk0SAc04QuKuvznGH+pRMNhQFRXGgKDIKWiStBmmclT/aZbjSCi8Vwq5iaO+BEB94JAmeToEMf3BVt5GNS1TBmGzo9Gg9fHDz9MZVMdFt6qPf1I/M+ChesDrgfDP8JR8OlEOXGYK8hVXxZCokG9XVheMZtbB20uGO3jcWv8BY/BSwNtfSWd9Er+NTLlcA2Y4s27A5ZByj2IrY74DjdfCHXDhUDl3dEOMDX0oXqdNUH1UsxjuqYEw63NH7pBAbP51ZwTL6tqsU5eeQ2ym04ROYO+kuPMu1M6f4sKiFyp7ROVWvDd6vgT/lw/5SsY0sOUi4IM+kQIov6NRX47hHfYomHRpwiyI2fR5rl0czzauMqquH2X+ykKttVqwfv7ynlvoTuzm0Yyc7z1SSZxr5E3Vb4UgN/DEXDleA2QZpAfBUKnwhFRKNqlhMFNSnaTIieeGdsJDFDz3Mg0uDCWl4n6N//SsvHrzElfo+em+41NJZTv6V83x4Lp+cum667CN7lFYzHKyEP+fCkSrot0FmMDyTDtsSIWp8hFZUhoga9JyseMYRtugx7u+00u94i3eKj3F2Xw+O5kIy4wMIcjNgcOml7doJThX10GBIIdLPiwC3kTtCcx+8XQ0v5ou+EBmYFwZbE8Usiwh1mveEQ524NamRsXdWUZV1mo8+OM6HORUUt/Rhdkho9Qa0OgnFasOhMRIwczXLHnqE+xdGkXyHoiEj5moeLIfn8+FCo/j+4nBRkLUpBoJGUJhU7h6qYEwJLJgrr5B9JYvLBTXUdVqwoEWS9Li4++IfEUtcWjrJSTFE+7vifgdlGw4F6npFE9nOfLjYAC56WBYJ25JhQzQEqPtNJyyqYKiMGHYZqnpgfxm8kA/5zeDlDisjYXsSrIkCo2GsT6lyJ6gxDJURwS6LjtO9ZSJmUdoq9oWsjYZn02BJCHirYjHhUQVD5Y6xyZDXLiZ6v14kxCLACzYliH0hC0PUvpDJgvo0qtwRFgdktcKuEthTBPWdEOwHD8bDE4kwO1DMtlCZHKhPpcptY7bDhSbYUQxvlkGLCcL9YGsyPJ4E6b5qE9lkQxUMldui1wanG+G1YjhcLsQiwR8eS4EtiaLU26CWBU46VMFQGTbdVjhRDzuK4EgFdJohPQgeTYFH4yHRR90XMllR06oqw6K9H96rEQuRT9aA2QrTAkVr+gPxEOMJWlUsJi2qhaEyZJrMYgXAayVwvBpsdlgQCltTYHMsRKt9IZMeVTBUhkRrPxyqFPM3P6oHZFgcBtvTYHMMhKr7QqYEqmCofCaKAi39Ykjvq4VwvgFQYFkEPJ0mSr3VvpCpgyoYKp+KokClSfSFvFoMVxrARQcrBpYLrY9S94VMNVTBULklsgKVfVZ2VcLLuQaK2sDNAPdEwRfSYHUkeKqvnimH+pSrfAK7olDV18+fmgp5tclGfV8KBoMX98VIfDkDFoeCh/rKmZKoT7vKTVhlhQKziZc6LrNP+w714b14uqxii34VT0f6MT9UuCUqUxP1qVe5js0OuW3wYp2FF6xV9MSdhYhiPLtbWWDwI9N1AS4adSPyVEYtsVEBRMfp1Tb4U77EjmwjPTXToDcJtA66jNlccD9CvqaAW4wRVplCqBaGCv12+KhJLEN+uxTazS5EuCYyS9lAO02cka5wmMME4E8gQcQROdZHVhkjVMGY4nRb4cN6eLkQ3imHHovoC3kg1ovFxiWU0kkNHVRRyFu8QwhBPMZGQggY66OrjAGqYExhTFY4VgPPF8LRKrDYICMEHkuCrfEaQryCiGIphdSwFzMFFLCb/QThz0ZW4YVa3jnVUGMYU5T2fjhcLaZ6v18p9oXMChbVm1sTIc4H3LUa4ohhK5tYzAIkDFzgGrt5mzNcoh/LWD8MlbuMamFMQRr74Gg9vFoAJyrBASwMF3MsNsdCrPfgtW64MJfpbGE9jTRxjvMc4xTB+BOIP5mkokGdkjNVUAVjCiErUGeGtythZ4nC1XoJFz3MDYPHE2F9JITfwstwwcA6ltNMBx20UUQB73OSMAIx4kkCMSN2RgW4acuBooA0nL0HCgoSd7ApQeUzUAVjiqAoUGGCgzWwK9/OxYJ6jHqJlRkBPJrhxr1hEPgZ+0J8MbKRldTTxA7MlFPKW7xDKKEE4I8PI9PbLtFC7rFz5FW5ELM4k+lJgdyqt81RfoTXPqzHYleQJAUFDdFzNzBvWjDe3EJ4VEYE7Y9//OMfj/UhVEYXhwJV3bCvAl6+ZubKlSLIOkxoTxZrozU8MC2QUC/9596PL0b88aENE2WU00g9VmQCCCCGcHR3+vnTUULOB//D3z35TX792nk6I+ezdHEsxhuvkW10FZ/i5f/6Kb/ee5ILZ89z6dIVDj//B96r6kMKnUdamIc6eHiUUP9ZJzlWWYjFnjLYVQZ5Fe0YSk9gvfoKbfZGSjUF1MXpiFiwgM+LgUtAKgk8xDraaed95Rgf2j/EiC8R+mBmkX7bzoC5tYSLv3uUzX+sw2IC8MfLRfeJE8nmDqqP/ic/a/km569uIWzg+x3vfJEnn/1/fPtbFiz//Rv+eYU6zWc0UC2MSYzFAXltsKNETMkqbIJgdwezDZUopcdprq2krbkBBQgMDCEoKBCN5rNFQ4+OSELR40JlezVlRUU0tbai9dETr4vGD59hn1ORezn85VAe+EsnM37yGs8F5FKZ7SBw9XpWL4zmhhgsksGD4Hnb+PtH0wedIAXcEjNxzT3P6aNN6GfO4r4Fkah7k0Ye1cKYpFgdoi/k5SLYWwIN3RDsAVvSfVky/x4uayt4Y88OSkvL2LN3HwYXN9zcXElNTUX6nCCjq8WAX6Ubxg8NaC/ItPiWsPfJg4SkBPOs7hH88BmGnWFHUU5w7IAbT73UwH8+ZuDc3yv0ogw9CCEB+BOY6EkApXRWttIExA35DCpDRRWMSYhVhovN8HwBHKqA5h7w9YBtKWKWRZxHBLN8t6PHzvMvvEB9fT0HDhzAx8cHV1dX4uI+/a1mtVi5evkqb+89QO7hizjqTJAh0Tingv3R7xDg5ccWNuDOUDcu69BoN/Db7h6QNEh0YpVv51HXUnOtnSZtOOlJodddFZWRRRWMSUafHT5sEFO9362Ati6I9BdTvR9PghRv0EkSCQmJPLplC10mE7t376aoqIi9e/fi7e3Nli1bCAwM/MR919TUcPToUQ4fPszp06dpamrC6OmFe7w/DeF9XDZcwp8A4olgDjNwY6jjuCQkzR3mNCo+4t3KElrmbGd+ZsaQ5UpleKiCMYnotYl9IS8UiH0hvRZICoLHU8T29Fgj6G54X2ZkZLBt2za6u7vZt28fOTk57Nq1Cw8PDx588EGMRpGfMJvNFBYWcvjwYXbv3k1BQQGSRmJGynSWrFyK+yZ/PszI5rLLZU5zmjACMOJNBklo7lIx8eXXXuX8eX/u/ed1rFuoysVooQrGJKHXDkdq4C/5cKIWzDZIDoRnU+GxRIjyhI9/iGu1WmbMmMHWrVsxm8288847XLhwAYPBgK+vL/fccw8Oh4MzZ86wY8cOTp48SV1dHQaDgfkL5rPt0a2sWb0GKdpAgutpbNi4zHn2cYRoIvDHh3BCRv2xN+7bxnf/6xjW+37Os09sInnU/+LURRWMSUCnRVRvvlIEJ2tFu3pmMDyZLJYix3xGhtHd3Z2FCxfS29uLyWTixIkTnDt3DldXV2pqanA4HBw5coTTp0/T3d1NaGgoa9euZePGjSxauIjQsFAA1rCMKupppJ46GtjBmwTgw2NsxHuEirpuyeXf8nc/eI2P4p7iZ//wDA+ljd6fUlEFY8LTMrAv5MV8OFsnKjoXhsG2ZHggFiI8P/8+vL29WbJkCSaTid7eXk6fPs3x48eprq7G4XBQVlaGwWBg9uzZrFmzhgceeICMjAzc3Qenb4UTzEZW0UQLO3mTPLLYw9uEEcIqFuI2ClEF5fL/8DfPfZ/d/Rv5zj98n68uD8WAWuU5mqiCMYFpMsOBCvhrntiirgMWhYuO040xw9sXEhQUxD333IPJZKK7u5usrCzy8vJQFAWDwcDy5ct57LHHWLRoETExMWi1Nzec6dExnWQe4T7KqeFDTnGG8wQRgB++zGUaupFsUqt7m3/47vf434+S2PDf/8Jzm5Lw0KhiMdqogjEBUYDaHthfDjsK4UIj6HSwMkK4IRuiwf82PtAjIiLYsGEDZrOZnp4eSktL0Wg0zJo1iy1btrBhwwb8/f0/9fc9cGcBM3mSB+nExFXO8h6niCICbzxIIQ7t54qGF+4GLRo06F08bnJmhBg4oCObN374fX5zZSYP/eKX/Pnr8/AbuEb6xPUqI4kqGBMMhYHlQuUiG3KtEVzdhFg8lQJrI29/uZAkScTHx/PAAw/Q3t7OoUOHMBqNbNmyhZUrV36mWDjxwYtNrKKeJjppooJaDvIuAfjgjSeRhH7iESlKHRdePUaxQ0Hj1svFC7U0I3Ht+B7+6p+HjzaQiOkLWZ1kROnvoGj/t3nm+WwI3crsoDLe2VmO3epAARSHDZfQVDJmL2R6sNp2P9KogjGBsCtQ3QOvlwqxKGwBd1e4Nwq+mArLwsHnDuuhJUkiMTGRZ555hqSkJFxdXVm+fDkRERFDvo8A/HiItbTSxg52kU8Ob+FLJKEYWY43NwZWZFDKOPbb3/C62YpZ0uDimUTmMrBXHOGFf9lDT8xy1nw5hdVJRmxWO9VlrWQsXYbeUcLe/7iGTVau35ujvwfjgu18IXieKhijgKQoivL5l6mMNRYHFHfBG2WwuwAK2sDHHTbEiRqLFeGMeIdmZ2cnAD4+w+8PATjJRX7LXzjCe2hQWMcavsGzrGTBbTWpKYryuWXrN18/zFEaKp+LamFMAPodkNcOe0phVwFUd0CAL2yKge3JsCwUdKNQH3W7QuFkJsls5X466OEUx3ifEwQQTAC+TCNl2JIxHLEQ1w/zD6h8LqpgjHP6HZDVCjuL4fViaOiEIB94KB6eSYUZfqMjFiOBEW9WsJBq6mmggWKKOMRR/PDBiBfRhI/1EVWGiSoY45geG5xrgteK4e0yaDJBjC9sSYXHEmBmwCerN8cbQfjxIGtpw8TLdFBHKQd5nwiCeZh1BKvrCiYU4/SzSaXbBifr4fk8eLMQmk2i1PvJDHgqeWKIhZN4oniUtazhXjwJpIg89nCAU1zCim2sj6cyDFTBGId0WeG9avhTHrxdDu0WSA6BJ9NgWyKk+k4csXAyjWS28wArWYIdB1e5zFsc5RLXcOAY6+OpDBHVJRlntJjhnWoxIevDKtFENjdMdJxuioF474knFgB69Mwig4dZRxPNXOIixzhCAH6EE0Q0Q0/bqowdqmCMIxr7RF/Iq0VwrhYUGRaHw7ZU2BAj+kImsknoi5GVLKSVDtpoo4xcDvIeUYTxBJsJvF6vqTJeUQVjnNDQC6+Xw6uFcLlRlDQvj4KnUmFNFIS4f+5dTAgiCWUty6ikjl10U0YJL7GPYALYxD14Mkke6CRlIn9gTRrKTcIFeakQLtSLNOnqWPjiNGFZTBaxAJCQSCKGR9nAKpajQ08OubzGQc5yRQ2CjnNUC2OMKe+CvQOWRW4LeOjhnmh4OhVWht9+X8h4xoCB2WTwCOuopY6PuMgJThJKEGEEkUz8yHa2qowYqmCMEQ4FKrthRzHsLISiDvDQwYZYeDYdFoeC9+fvFpqweODGShbQSgfNtFNKNkc5STRhPIYrcUSqCw/HIapgjAE2GQo7YXcJ7CqGshbw9IBNsWKq99IwcJkCzmIAftzHSmpp4FW6qaSI3bxFCEEY8SIA37E+osrHmAIvy/GFTRZ9Ia8Wwgv5UNYG/t7wQBx8PQNWTRGxcBJOMFvZxGruxQcPcshlL4c5Rxa9mMf6eCofQ7Uw7iIOBa61iX0he0uguRe83UVfyFfSYbo/fM7isUmHFi2pJLCZNTTSyAec5D1O4I8PoQQym4yxPuL4QVE+eZPlwa8aDWi1YprSKHXeqYJxl7DKcLEJXi6EA6XQ3A2BRtiaJJrIMqdwS4UWLUuYTSsdVNPINa5wlBMEE4QX7iRN9h1mt5owceP3ZBnMZjCZoKcH+vrEV5MJOjqgtVV8z88PMjIgPR18R8edUwXjLmC2w9lGMfTmUCl09kNsIDwUJ7Ih09R6JXwxcg8LqKGeHvqpIJ83OUQogWzHixA+uVhpwuNwQHc3dHZCfz9YrZ+89fcPXtPRIUSiuxva26GxUQiJuzsEB0NaGsTGivsdJVTBGGX67XCyDv6YB0erxLKh+EDYliSayOK8P/8+pgpRhPM499FMKztoopwq9nMEf4xsZvVtLXoe18iyeNOfPg1XrwpLoadHiENnJ/T2gt0urnM4xH/bbDcLQkwMLFgA69cL68LXF1xHb5GTKhijiMkilgu9XAAnaoRYTA+CJ1LgkXhVLG5FErE8zkbaaOMt3uYC5/DFl0jCWcZcDEyiXLNeDyEh0NUF770Hzc1gsQhBkGVx+zQCA2HFCli1CubMgeRk8BrF/S8DqIIxSjSbB8QiD87UgE2CBeFiv+n9MRCrisWnIDGXGTzK/TTRxAlOc44zvI4//viQySTaVGSzCRejt1fEILq7bx3PuJHISEhNhYUL4d57RbzC01OIz11AFYxRoKFPbCL7awFcrgWNVuwLeSIZNkRB+BCWC01lXDCwkJnUs4kOesniMu9yhFBCCcafMILH+oi3hywLC6K/X8QgSkogOxsuXRI/l6RPFwxvb4iLEyKxfr2IV/j5geEOpz4PE1UwRpiqbnirUtRZnG8AvQaWRsKTKbAmcnL1hYwmIQSymqXU00IzLVRRy34OE4gf29k8uusXR4P2digvh+JicaushJoaqK2FlhYRvLwVGg2kpMCyZbB4McycKdyPu2RRfBxVMEYIBSgzwcFy2FkgOk69XGFZpHBD1kQObxPZVEdCIp5INrGSZlrZwwFyyGI3vkQQwioWje/O1p4eEcRsa4P6eigrg7w8yMmB0lKR8VAUYTlERYn6iepq8X0QghARAdOnC7FYsUK4Iq6uYzrdWBWMEcAmQ2kX7CsTw3oLGsHHDdbGwtZk0RcSMHqB60mLDh2zyaCbXuqp5wjvc4krvIofPviwkBnox0sQ1Olq9PeLN31BAWRliexHba0Qjq4u8XOdTqRB/f1FZmPFCvH7L70k4hoGg3A51q4VP0tMFNfqxv7tOvYnmOBYBlYAvFEOe0qgpBn83GFToijKWhQCXuPkNT0RMWBgIZk0splmOrnMeT7gJDFEEYQvicSiHasOB0URb/D2dmE1lJYKt6OyUlgLlZVQVSWu1WqFSDhdirg4UTMRGSn+v6FBxDL8/IRVsXAhzJ0r0qbjCFUw7gCLA3LahFDsLYGqTgj1gvsSRI3F3GBwVbu07xgvPFnLchpppZEW6qjgHd4hGH+2Y7y7k8cVRVgK7e3iVl8PRUXC1cjOhsJCISIgaiKc1kFUlIhFTJ8uMhsxMTfXS9jtIkXq4iLEIjb27j2mYaAKxm1iccClFthRBG+VQ20n+HvBI0kiGzIzAFxUsRgxAvDlPlbRRCsvsIsCstlPAHFEspoleOIxOn9YlgcLpux24V5cuyZcjWvXoKJCCEdfn6jMNBjAwwOioyEzU9RIpKdDeDgYjeJn7u6fjEP4+8PmzSJ24Tl+02iqYNwGfXY41yhmWRwqg+YuCPMTg3qfSIJMf3Xr1kijRUMysTzCeqqo5TBvcYmLvIAvfviygJm4MAIpxhsbuxwOUYlZUiJuFRXCxaioEEHMtjbxOwaDKKTKyBCByfh44WpERQnh8BtC7b9WO7TrxhhVMIZJjw3ONIgmssMV0GmGxEB4KBmeThYrAFRGBx1aMkhiG5tpp4tTHOcIp4ggjAD8SCUezZ0M3bHbhbvR1iashpoakdnIzoYrV4R1Icvize3jI1yMoCDhPqSlCXdj2jRhTUxSVMEYBhYHvF8Lf82HkzXQbYH4AHg2BR5LhFjjWJ9w8uOFB6tZQi0N1NFAsaOcg44j+MlefIEtxGkiUfTD2MPqLMHu7hZBy6wsIQ7Z2SJoaTYPNoLJMgQECCti9mzhbqSmQmiocDNcXe96IdXdRt3ePkRMVnirSlgWZ6oH+kJCRGv6Q3EQPcHqiCYyCgpV1PGH6pf566mXaM2rJ641ijma6aQEJzFr1iwWLlpIUFDQp9+J3S4yGoWFopCqpEQIRF2dsCS6usR1Go3IYkyfLiyKuDhhQYSFCaEwDnxKTBEfVLUwhkCLGQ5XCcviYi3YFZgfDk+mwuZYiBileJvKrVFkhY6sZvoONqN5vxfy+6jsL6JWKcPX6MOMGTOorKpk3X33kZyQMPBLiohHNDWJJq/qauFuZGWJLEdbmwhsajQi/ZmUJAQhJuZmwfD0HBxUo516UW1VMD6Htn5RY/HnPMhpBrsEiyPgi2mwIVqt3rzbOBwOKsor2PHKDl5/bQ/tHS1glZEBKw6a+ps4fvw4NTU1mEwmvrB1K+FubiJIeeGCEIicHCEQvb2DroaLiwhSJieL7MasWSIlGhAgXA03N3HNFEcVjM+g2Qx7S+GFQrjSCEiwIlIM6l0bBYFq9eZdRVEUWltbOXr0Pd49eoSGpoZbXmez2SgpKeHIvn3EVVaySVHwrqsTGY7q6sG+DW9vEaRMSxNCER0tXA2nuzGO05tjhSoYn0KFSTSRvZgPVxvB3QWWRsDTKbA6Ui31HgtkRaG5tZVjx49TXl7+mdfaHQ4KCgo4WV7Okv5+vG02UQMRHCzEICQEEhJE0DIjQ7genp6i/HoUZ2JOdFTB+BgOBcq6YN+AZVHSBkYXWBUtLIvFoZNzudBEQJEkus1mSsrLMX9ad+f1ixW6rFZKbDZ6AwNF+jMlRZRmz5wp6iR8fIRIeHuPiz6NiYD6r3QD9oF9IXtLxHKh0nYwusP6WHg2FZaGgpv6LzZ22O04Ojro7+4e0uWyJGGJjsaxfbsIWoaFiQ7QiIgpGbAcCdSX/wBWGfLbRczitUKoaAc/b1gfLdyQleFi56nKXcZZSNXZidTYiOHECXw7O5EQIwU+C4PBgE9GBvpnnxXpUK3jGWgAACAASURBVJU7RhUMBpvIdhbD3mKo64JAb1gfA19KgzlBqljcFRRFZC0sFlEn0dgIubmibyM3F6mqCmNDAxnt7RQCnZ9zd4GBgWRkZOA1SiP3pyJTXjDMdrjYDK8Vw5ul0GiCcB94KBG2JsK8INCqYjE63LiMx+EQk6dubBOvqhLFVGVl0NSEBghxdWVdSAj5vb1c7O3FZrff8q49PT2YMWMG965cif8oTtGeakxpweixwrmmgY7TUmgzQ1IQbI6HbYmi41RllLDbxQDc1lYxcKa2VlRdOofOlJWJ6yRJBCeTkyE4GJ/YWJZFRFDV3EzfxYtUVFTQ3d2NPDBhW6sBb293MmfN4eGHH2HBggW4uqnFMiPFlBWMbiucqIeXCuFYBXRYIClYdJs+mgDJal/IyOPs2+jpEZZDdjZcvCgKqSorRT+Hs29DkkTZdXLyYN/G9OkQGUmATsfjJhPBZ85w6NAhzp8/T2NjA1r6iQyFpUtS2PTQl1i0dDPe3mrN/kgyJQWjvR/eq4VXiuFUBfRYIDMUtqWIUu/ESbYvZ8yx2QYtiMLCwalUtbXia+cN0YjExME28YQE0bcRGiq++vmBoiBJEqG+vtzn40N8fDw1NXV0N7+H1PMmPq7NxKaHkDArHU8/VSxGmiknGK1mOFwNL+fD2Roxj3NRJGxNgU0xahPZiOBwCFfjxr4N54zLvDwRq3Au6QkKEnUR4eGiNDs9XdzS0sTEKkkSN+eW6oGCKkmSMBqNzJkzh1mzFqAoDmg/iaa/GY2XC1rvyd01OlZMKcFoMcObFcINuVQHFmB5FDyVAmujIVxtIrt9bDaR3ejqEp2fOTnC3bh2TcyrNJtF3MLhEC3gAQHC3ZgzB2bMECIRFDTYszGENnFJktA5C676B9wdBZA18BlLwwZRwGHB2t+P2SLjQEKjkUCRkWUFBQVFVlDQoNG74OLmjofLHU3cmPBMGcGoNAmx2F0Gl2tA0sC6WNieDKsiIHQcT6wf15jNIqtRVCSsiPJyMXimvl5kOfr6xHUuLoPWg3MIbmioKKYKDhbVlrddjq2AtV/kx62AXfP5RRoA2LA3XqXg7DGOnisnv8mOQ69H6+KOwaDDTbKh2Kz0ya64BiaRlDmfRQunkREyIrO9JiRTQjCKO2B/uaizyGsCdx2sioWnUmFZmNoXMiwsFuFmNDeLOomKCsjPF/USBQUioNnfLwQiOHiwkSsmRrgZ6eliQpXRKKotdbpBd+N2URyg2AFlQCi0DN0MkJDsbZiqTnL+RDmFlkC8EueTOT2ODA8bst2Ow9JCc349DSU5FFybz/wVS1gyJ44Yd91YzSsfMya1YMgKFJtgdwXsKoPiLvByF9WbT6XAwhDwUftCPhubbXDfRmenGDaTnS1Sn86FPCaT+DkISyE+XgQsZ80S7kZsrEiNeniIn4/41i4ZcIiaDgmQtDCkt7IOrX868UvWs66vgorKMvLLPfGYu5E1Tyzlfh8rDllBUdpovPQeJw+/x5EdlzibU0PVF7by+MokEqdYxnbSCoZDEaXee8phbwUUtYGfmwhsPpUMCwKFpaHyKcjyzfs2nMVUtbWD2Q3nOP3AQCEOaWnC1XC6G5GRoit01AunZFBkhHkhAVqGZmJokFy98IhIITktlvgIbzzbffFNyCB9Tirp18VAYVq4J4EuvbTUH+LNYwfZrQvA19Mb/8Uh+E2htpRJ+Zaxy5DdDnvLYG++hfKyctwtXaTH+7LB6MfiID9c1OajT9LdPbjer6FBiERurghglpQMjq3z8hIZjcBAkd1IShKuRkaGmClhNN7l9nCHcEtQRHBKGqpgOH/dgsVsxWKXUWQHssVMfy9wXTAkNIGzmbUZtlbVUvNfJ/jwg7d4Nz2e6Wn3sjhAx1R5NU06wbDLcLkFXi4VQc76sjo4+WdcTbl4ZabQrKSTb59BYEg47h4euLm54TZVKwGd6/0sFiESBQWD+zYqKwfX+1mtIiYREiJEIjVVZDemTRPCYTQOtomPxRwJZcAluS4YmuGdQ5FRZFlkehUFRZZxOD5+kQ68U8mclcaKxBPkXM0iOy+bMzWLSAzwJnTEHsz4ZlIJRr8DzjfBq0VwoApaTHbcuipxlB2npyGLgpbLtOZE8MGRGMLCI0hISCAtLY309HSCgoLQ6XRo7jQAN56RZeHn2+3CkigrE5ZDWZmolaiuFm5Hfb24zmAQtRDO6dgJCUIgIiLE15CQcTJoxjFwkxGxCx0owznXUK91xzcynMR0bwJKmsivqyG3opv2FG9Cp8hnzqQRjF67EIsXC+BAGZjskOwrk5rsQt+iaTQU9NPW0UlWbgEXruYAEBYWxty5c5k3bx4zZ84kISGB4OBgjMZJVhfucIjAZHu7CFLW1Q2u97tyRfy3s5DKx0cIg7+/yGykpg7u24iJGZ9zJBT5ZpdkyDGM4aIBHy/cQ13Ru8k4Ovpoa+ylv48b3JfJzaQQDIsDTtXDn3Lhg2qxLyTWH7am6HkodBrKkr8jN6+Aa9dyyM65RlZWFh0dHTQ3N3PkyBFOnTpFWFgYixYtYv369SxatIjAwMCJa204t3bJsnA5amoGm7qysoRFYTIJV8RqFWlNb2+RzZg9WywBnjZNWBIeniK74TKOKw+UG2IYaAZuo2T5GPRoXfVCl6x27P12HLdumJ2UTHjB6HPAkWr4ax6cqIZeC6QEiX0hjyVJxHh6Q1gmcfGJzJ03j8bGRurr6ykvLyc7O5uzZ89SW1tLR0cHVVVVFBQUcOHCBTZs2MDixYsnjmgoinAP7HYRsMzPFynQ0lIRj6ipES5He7u4FoRbMX26yG7Ex4v/DwsTgUx//7F9PMNCBgbqMNCCNIozOR0OZLtD/BPqdehctGjGodE1WkxowWi3iE1kf8mF01Wi1Ht2OGxNgofjIcY59FmS8PTyIsHTk/j4eAB6e3vJzc1lwYIFXL16ldzcXEpLSzl9+jTXrl2jrq4Om83GwoULx3dQVJZFcLKlRdxqa4VYOIOXtbWDb56AAGE5hIQIayIlZXBqdlDQYN/GhENBiIYzrTpaFoYCph7MTf1Y+7VoI93xC/HAbQpVCU9YwWjph7cr4Q+5cLUBZC3MD4FnUmBjDITdoi9EkqTrK/S8vLyYM2cO06ZNo62tjUuXLnHgwAGOHj1KY2Mj+/fvx2w2YzQamTlzJtrx5Ls7N4l3dQnr4fLlwfV+NTWiHNvhEDdXV9HlmZoqiqjmzRsUCHd3kf3Q6yeoUDi5sXBrIEsyLMEY6vI/M6aaRqoLu+nu8yIoLJTkaE+MqmCMb+p74UAFPJ8PWY0iIL48QojFmkgIHuITqNfr0ev1eHp64uPjQ1RUFOnp6bz66qvk5uby0UcfcerUKYKDgwkLCxt798RuF/EHp7tRVDS42q+6WpRlgyi3dpZhp6UJayI8fLBU29NzfAYvbxv7QAwDRMBzuI9Nuv5Fufk7H/sztZQWlHC6yEqzZibz49JYEOFB8O0ceYIy4QSjwgQHK+HVPLjSAK4usCIKnkiGeyNvfxOZ0Whk9uzZBAQE0N3dTVNTE83NzRw9epRp06YRFBSE4W4v2nXOtXSu+KuuHpxKlZ8vNneZzcJKCAwUhVNhYSKbkZIirIrERFFopdNN4vV+zrTqQAxjuFkSnSuuXqITVavTo/fwxPPjY0B7Cig+/go7Xz/NydZg/Jet495ls5nhr2ekC93HMxNGMJz7Qg6Ui4XI+U3g5QYro0QT2dJQCLjDUINGoyEiIoLVq1eTn5/P/v37uXz5MoWFhSxevHhkHshn4XDc3LdRXi5iEVeuCIuitXWwucvhEJZCdLSotJw5U6z4S0gQtRNubgPZjSnQLPPxtOqQKz0VFJsNu6mW2so6ahtNdHd20F5bQUVhNLU+NhyyjGJrpfHKYd7fd4gPSsBz1mo2bF/PuoVRBE8ltWCCCIZDgbx2seN0VxEUtYCvG2xIEIN6F49gE5leryc1NZXMzEzefPNNWlpaqKiowGw2j27w0ykQhYWimKqiYrBvo6pqsLnLx0eIQ0qKEIrY2MGJVKGhIi4x1bjerQoi4KkdiGN8HjYcrdco/ugtDh24yOl8oLOBplOvc6A3mxrPfuxWC729XXS0tGPqiyJmwxzmrF7LmlVppPuOWvJ23DLuBcMmQ3YbvFEKrxdDSTuEeMC6eOGGLAwBjxF+FF5eXkRFReHv709rayv19fU0NTVhNBpHLvjZ2yssBmebeFnZoLtRXi4yHiCshLCwwb6NhAQRm0hNFalQb2/hZkzooOUdojibzxDWxZCDnmKAjs1uQOs3i2nL0kjUGtC6G/FQuunpsWCz9tNj0aEPnU1m2mzmLpnDnLQIwt21U6Z/5EbGtWBYB/pCXiuCA6VQ3Qlh3rA5AbYlw6xR6jjVaDQEBQURFxdHW1sbTU1NVFdXEx0djfvtfoI7+zbMZlFtWVwsxCErS1gQra0i62GxiJLskBAICIS0DFg4H6ZnQGiYEAgPj8E9oCrcnFbVDrgkQ0GP1j+ZmMX+PJxhYYNdI2oqFAcOh3Pilh27rEXrasTbP4jgYC+8Jkhpzmgwbl9xfc59ISXwZgk0dUGkLzyQBE8kCrHQj9ITp9Fo8PHxITY2lpycHNra2qipqcFsNg9dMJw7N2w2USdRUSFcjdJSIRA1NYPbxGVZpDZ9fUUcIjlZWBIxMSiRUdhiorEF+CPLMpKi4OmiTvy5mRuazxhOabgGyc0fnwh/fCJG83yTh3EpGN02ONcIu0rgzXJo74Ekf7h/QCymBYB2FC1wjUaDt7c3YWFheHh40NHRQWNjI2ZnHOGzkOWb9200NAhrIidHWBNFRaIcG0SXZ3y8KKiKihJxiYwMcYuLA4MBWenH3N5Fd10dFocdjUaLZ0zs6D34CYkzSwLDEwyV4TLuBKPfDsdq4ZUiOFYNHX1CLJ5Ihi2JkOwz+u66JEl4eXkRFBSEm5sbJpOJtrY2rM43uhNFQbHbkZx9G1ar6PTMyxscgFtRIcqx+/pEmlSjEYVUYWFi6Mzs2aKgKjpauBnu7jcFLrWSK0Z/V4x3VKmtYG4tp75r8P8VxYvAqECMhslgXw/0kigMxDCGOnFLZbiMG8FQAJMV3qmEHSVwrBL6LJAeItKmD8dDvPfdOYskSbi7u+Pv74+Liwv19fW0d3RgcTjEa1JRUICe1lZ6S0rwamrCo7lZuBsVFcLdKC8XroizxyMsbLCQKjFRWBTOqVRBQaP0SEQZUmdVAW98O52vHNCLCXbYsNmW8+29/8HfPjKbiW+NO0CxgaQMCsZUDgKPIuNCMBTEmsJ3a+AveXC2VgzCmRMOT6bBo/F3d6q3JEm4ubvjGxiIwdUVWZYxmUzYTSakzk4sLS1UVFdz/to1mq5cYWZ9PUtqanAvLh68k4AAIQ7BwYNt4hkZQjTCw+988O2Q6Kbu8h/5xpx/5sjav1Bs/SJih3k7B7+ygK89upaCn+3kl99dQ8a4eCXcJsrHYhiK6pKMFuPiZWKyiljFn/Mhq1VkR+aGwpfSYWPs2KwAMOj1GD090Q8MrO1paUG+fBmKiug5c4YPT53ihepqqi0W7pFlPIFFLi4iLpGQIHo2MjMHqy+dRVR3sW+ju/Q8r//wOxwxbuLX/++LDEY+/Lj/T69Qmfs4P9hzkEPLMslYGnhXzjQqXJ/nyQRuoJsYjLlgNJlhd4mo3sxuBLsEq6LhC2mw+g5Kve8USavFs6cHvd0OkkRfQQG2P/4RZBm3igoCOzvRA3XAcZ2O5ORkZmzejEdGhnAxwsJEatRZln3XUejtrKas2oDLwvvZEPfxz9z5rNwSTsyPzpB1toimpYETtydCuSGGgU60t4+WheFsiJ2ijJlgKAwuF3o+HwoaQO8Cq6PgC6liuZDf3cweOhyDRVRNTUjV1bh+9BHdNTWgKDS0tdHX1oai0+EeFkZmcjLL+vvJq6igrreXkz4+LJs3j3n33YdBlsdB30YXPe1VlBZ54bohlfhbXOHibsBVyaWhoYF6BYIn5BthoAbDuZfketBzhB5Mz5t8a/VPOFKziH88/H0emx7G4DbNAfUwN5Dzh+2s+nkeLgbxnCuSjkd/f5Wf3u+HUZo8OjNmglHeBbtKxUi98nZhra+Jga9kwKK7sS9ElkWRlMUyWJadlSX6NvLykJqb8eruJq6/ny5PT8JcXTH4+6PExSEtWkRYejpLm5u5cuAAR0+cIKuiggPnzhE+bx6xoeNhJKwDh92GxaZB8ri18sqyBFI/NpsNqwWYsOUdNzaf3WladfCt3Xnwb3jwh69zKrsZmVCae63Xk7cCCbnxCm//9ed858xc/mPXPxFsdSBpdVz+9Wp+9w8LKCv7K79+aimpAbf94MYVYyIY+e2wswReKxZi4eECm+KEZbEwBDxHu6Gnu1tkNIqLRTl2WZno2WhoEF97epCAYKORv507l6b0dHzi44mNjUUKCYGoKPRBQczs6uI+Waa0ooLiwkLeO3KEFUuWELVu3TiYn6GgKA7s2JHrmjHzybGTehcF7AF4e3pjnLBiAYOFW3Bb3ao3IWHvaeXi89v47r8f5erMv2Wr/ffsytOhQfrEvUqeoaSu/iI/WjaTx5cOflCsTPoleTP/iV0vHuKh5amkBkwOxbirguFQ4FqbiFnsKoLKdvD3EjtOn0kRTWRuo3Gi/n7RHt7SMti3UVAg6iRKS0WRlSyLYTOhoTB9OlJICJ4JCdyTmoqSno4UHY3WaERytokDQe7uLF60iDOnT1NWUkJZSQknTpwgLS2NmJiY68N6xgZ/vAMSSA3r4MK501xS1rPUeRwFkCxUXmqlyj2D2alxJI/hSe8cZ7cqXJ/pOaTms1thp6v+PXZ8/yiND/83z//TvZi//RfeyFNusd9ZQfIMJWFeKAkf+4kh5knWL/4dBw9nUVzbTNfsACbDaOm7JhhWGbJaYEcxvF4C9SYIM8LaWPhiGmQGjKBYWK2iZ6OvT/RnlJYOTqRy7tvo6BDX6fUi9RkQMLjeLzMToqORvL3RO/dtfErgMioqiuXLl5Obm0tOTg7vv/8+mZmZREREXM+w3AnD932dvyEREj+PTdvjePHfdvDLP3+RhV+JE0+4BK2nfsB/vWAi8JGvs3Fd4gT2rxXueB7GTdjRe4ez6Gs/YeO3v8m64Gpe5NOWwX/W37AiOxQUpFvYJROXuyIYFofoC3mlCPaVQlsPRBrh/gTYngRzg0ao1NtmE1WVFRWfHIBbVSXcDZtN1ED4+w/Os3QWUkVGihqJsLAh7//09vZm8eLFXLt2jdzcXAoLCzl79iwrV64kdIixjNZzf+SNqw7sCghXQiIgcz2rZscS6HIr0TBTdvgVPqiyD/yOjCwHM2PdWuYleOOCeKFqAhJY/PQv+D+Ff+Lgb7/FT+wbCEHCoG/jvT2nsSx6ih8/9xD3BusncFRO+tgio+GsSrwFiiveIcvZ9uvlOMVIcQ5NHg79lzie2451ZibJEYGTwrqAuyAYvXa40AQ7C+H1Uug0Q7y/iFk8kQhz7rTIsatLWAzt7aIsu7RUlGbn5Ij4hHNsndEoCqj8/IQ4ONf7TZsm+jZuswtVq9USGxvLggULOHToEFVVVVy9epWrV6/i7e2Nh8cthos6cVhpyX2XX/7wu7zbkYArElqNjv7yc1QnPck3//GHfOe+BLyva5eC7Ggg583d/Nv3fkq2dxyukgadVkPj1VJiLn+NLz/3HJvTAvDSKYAnPmlb+PWB+Sz5+qP84oUXxNvKZsGy4Vfs+/56kjwYrEadqCg3uiRDnYXxKYxUcmXPHt5qNDDtS0vJjJsc8QsYZcHoscGZRnihAN4rF2KRGACPJIrBN2l+t3Gnzl0aVquIPVy7JqZS5eSI2ERb22DfhlYr5kgEBQk3w7lNPDJSCIi7u+jfuEMMBgNpaWmsWLGCffv2UVBQwLFjx0hNTf3MWIbc10rdhy/yVtirnH1vI9fbRXJ/y5NPPMcvf6jDw+Pf+d5q5z9UJ3WX/sC3HvlXCrbvJ/eV+6/XTnS99QQPPvVzvlWnQfmf/8uTSTf+zWg2/+8FNt/iDAqMcazlThlwSW6ahzG2peGW5sP88nd7cXh9ja8+NJekj4/7m8CMimA4+0KO1YqCrCMVYLZARghsTYaH4iHFZyh3NNAiLsuiTqKjQ1gNzm3ilZWiPbyiQtRQyLKINQQGDg7Bda73Cwsb3CY+wuh0OmJiYli7di3nz5+noKCA06dPs2nTJsLDwz91FqjGK4yZ33yD4o//IOObfGPLW1z9wXGOv3uGLas3EQ84WurJ3/kaH7qu5H9/eT9BN7gRxvVfZu288xwvLOJSQTVPJkUN6ewTWSquowzUYShwfR6GIo3Jg7N31bLn/9zHL/PceOKFH3B/UuCkWoo24oKhKNDWD+/Xwav5cLQKHDLMj4BHk+DhOIgZShOZwyHcDec28fp60RqelSWClzf2bfj5CRcjKGhwAG5GhljSEx090g/xlvj4+DBr1ixSUlIoLCykoqKC/Px80tPTCRh2Ss2Mud+GAwMGF8P1IbOSRo/BQwf2s1w4b+XpBwy4Od8U3V309tvA1RU31yk2aPJ6WtW5W3WoFoYzYAoj0RJvNzVw5bfreWqvgXm/OMe/bQojeEKnqz/JiAqGgtgX8k6VcEPO14AVWBQOT6XAfbEQ8Rku/fVdGr29wnLIzoZLl25e7+dsJdfphDuRkiJmXM6bJwQiPPzmvo27hCRJBAYGMmPGDE6fPk1vby+XL19m1qxZeHt7D3PieBXVOZ20uESyKDEYp02k8fUndfVmZvziV7zwyLfY2PM7NrobMNDJOz/5KTtOdbHqO5t5bNV4KBy7m9jFTWKYlZ4yKB2IV6kvSLfftCSbarnyn+uY/5NCeHYfh/4mlUCPSWG/3cSICYYC1PXAgUrYWQQXasAhwb0xsD1F9IV8ZhNZdTXk5g4Owa2pGVzv19kprtFoxNDbadOEBREfL/Z/BgcLoTAax7Qc293dnRkzZpCamsrZs2fJzs6mvLyctLS0YQhGPn9Zt5XvHali2j/+gK8+PpPrv6nxJ2TBc7z7fDGhX/gjW/xeZPGXvoTHW2/wYbXMPf+6kx89t4HMqWZgIDOY+BzGblXFDkoVKD2gSQZuUzDM9dTtf475PymAeb/iwu/W4z/q1Ydjw4gIhqxAuUksF9pRCNcawFUHK+PgqXRYFQZ+N75fFEXEHBoaRDFVdbVwMa5eFVZFV5cIaup0wt2YNUsIQnS0GF/nHILr4yMEQqMRtzEO3un1eqZNm0ZGRgZnz56lqKiI6urqTw7euQHFYqL4j5tZ+KMrWO0KWk0fJlMAD/5sLz//3lpSNNyc8nQLJuTZnXTN/A0bZv0zp37/e/H9hT9i2wMryXQDcOb/pwq3O6JPAlzFHI1bbheRAE9cdRKgw8Xd84Y+EufT0kzFB79j21ffx23177n4ztdI/5TPrAmbub6BERGM0i5RvflaCRS1gc4D1ifA0+mwOBB8NIDVAv2WwfV+WVnC3cjNFZZEf7/IbDjdjdBQEZfIzBS39HQRsHRxEUNyx+G+Dedek8jISLRaLd3d3bS1tWGz2T71dySDB9GP/YEPlvaKBb86N3zzX+Abv3+OzDdX87OfPsc/rI+5/mqzmwt57dkN/OuZFjTf2MuZL8+g9g8L+Nref+WZxSe4+Kv/y9e/spS4SfHyHArKDdvbGUipDlEwJD1IiQjBcQpGL62lr/Mv877NQQ8XNNhor+3Fwpv886qP+A+9je5ZX+Wn//Qczy0LoqfoAvv/51ecswBHv8uahF+gsQ+Wedn7ugh9/Df8/O+fYV38WLcL3Dl3JBiyAtfaYU+pKMgqagF3D3ggFZ6eBguM4G0xQ3mF2NRVMNC3UVMjgpi1taKvA4QApKeLW0qKqI0ICxPuRnCwsCYmAM7Vi85UpdVqRZZvXScIgKTFNTiZzBt7y6d/jz9oHWz9l9f4tz/4EJX4Yx5NkLC2l/LBfz7ADw5oWfG7N/ja+hUsjNBj++kJZs7/NQ9/Zy///svn8YqK4YfrIkf3gY4rBuowlBunhg/Vwvj4B48LXiEr+PILz3OfTnSPaA0u6LUydosNh92G1Tee9BRRiuUSNo8HfnaI9G+7olNsWKyOmza1Kg4brpEzyAieHCMDb1swrDJcaoMdFfBGFTRaISQINvpb2W5oYk5xAx6tTVBWKbIb2TkiFdrWNuhuRETcvN4vNVXc4uKEQOh0g+7GBMFut2O1Wq9XB2q12mHXOSj4Er1pAw/u2M93Ll/h/WvNPJoQREfNSd747yJqUn7K33xpNfMkcbU+aBpJz/6OX9VW8vV/P8TRt9fy0NrHyZgKBgYS162MYW8+uxU6XDyjmbU5mlmfc6WiKOi9goibc9/AJLPPuf4OTjVeuC3B6JfhYiu8WgyHy+x0tPcRL/Wx0aeLZ5rKSbmcheu1K1BSBq3tImhpsYh4g6+vKMuOi4M5c0QAMzlZDJrx9BS3u73DdIRQFIW2tjYaGhqQZRmDwYDRaER3OwN07Hb6HVbQanDRuQA9mHtrKDfpcY9NJf76K885bMGHlPAgYvqu0tdtwTLBXpnt7e309PSg1WrR6XRotVq0Wi3/v70zj5HyvO/45z3nntmLXViOXVgugzFgDtuQGKfGymE7dlynzdEqUitVPVL1iNSqqlRVldqoUaWoUlSlUW0nsZW4jZy4camdgm1sbLANBmzOXTAsLLBeWFj2mOs9+8fzvjvvDgueMbuxwc9HenmPOXhn532/8zufR1XV8XW4He4L1OAuDAfQCXpJfg3xrHp/CG6wr2RS6r6Sx2zYdR5+3u3w5qFLtPb2svlSD3eM9HC3dZJlhbPQfwZ6T4tqLRCBy9Wrg76NhdA5v9KzMWuWmAf0JsC2bXp6euju7gags7OT9vb2q2RILPKD+3n+ey/jfOWv+MrSyuWkcJnDTzzF03s0Fn52M4/c0QC45JqWdo0qmAAAFjpJREFUs2Gpxkt7f8bPjj7CHy5VwxfA6Db+8793sD+9jq9tXMeyaf+0U4frurzwwgu8+uqrpFIpcrkciUSCZDJJOp0mmUySTCavOJZINpCIQ9LOY+CKG1i53uYzybWoSzAcH3pG4JfHPN7d9R4r9r/CpjNvsu7CIW69cBRtJBjHviED8+aKDtD22bBwUSU+MX8+5G6MeES9WJbF3r17OXz4MJqmsWLFCrq6uohNGqD1cYtn6P6f7/HE7hKXHmhDUxV8RScx/DJPPXOSxPpv8nff/G3uaQXQaOy4l9/7pz/g0Ld/yl//5T9gPzCTmKaAEWPk5SfYcqmLTX/z53zjwWU3VHVhoVBg69atPPnkk5imSSqVwjRNkskkmUyGTCZDOp0mlUqRTqfJZrNCNNItNGRUNq3sZvFsD8PUERaHnGZguqhLMAou9BbgxJBD6/F3+OqbP2bz+3tQVQVH1Sk0z8RvyKKuXoW6di3qbbehdM1DbcihptKoqTTKTfpFhu7Inj17OH36NNlsljVr1lxDMGJk5z7E3z7n0f+lb/P4f4TD2PrYJYsFv/svfPdPPsetGYLmMCDRxPwv/Ss/nzePe/70aX74WBBM9R1K5cV8/Tvf4Zv3zycbvuQG+JH1fZ/R0VHGxsZQVZVisShiA4bB8PAw586dQ1XVcfM/3FZVFV03MQyNxF+00fGbPoZpIkYNr/WD+4iiLQ8w4RM5W2p91CUYpgrtKUhlTMqGie67WLEEJ+beSl/HcoY6luB1dpDoaCfROY/EvHbizZDUIOFDsixGgYspYppDFVAjgzxHv+bqY0rwz8f1HhgZGWHv3r0cOnQI27aZPXs2K1eupLW19Rq+rgazHuV7bzx61fedtDlszbfYvvNbV32Fj3JDiAUIwcjn8+OfMZfLsXHjRhYuXEipVGJwcJB8Pj9hCQWmUChRKjuMjCRwccXFVNfcqjZ43eDnQekCdbrmh7l5qEsw4ioszkEuA9tm3cZjq7/Ba+55Ts+5hTNdKxiatxCvQSepQHoUUochpUJah5Qhht5L6WIC5VSwndDB1ISAhIuughGIiq5F9jWx1iPPVQIRUT/CG8R1XXp7e9myZQt9fX2k02nWr1/PokWLrmJd1E79H+vGKtjyfZ9CoUCpVMLzPGbOnMlDDz3E5s2bcRyH8+fPB+JQYGxsbHwZHR2lf2AEQytw223nMb3dYNkQU+sQjBK4u8EbAD0JSMH4IOoOevoOZDwoz5rHi5mvs8NwsfU4lhHDLinwfjABlVdZQ+XGVpRK4a6iiBs9oUHaDJZQTIyI0JiQ0YXgpM2K+KQNSIWvNYQQ6WKwqcr/F1lQKsJyLWumXvL5PPv27WPbtm0MDQ1x11138fnPf56ZbW03eOv49OO6LsPDwxQKBTzPo6mpiblz5zJnzhxM02TBggV4nnfF4roujuOhYJOyHydeeFMUBsbCwq0a8H3wCuCNAVcvrpNUqFswUho82glLczrn/QyjviirKJXE91W0oRAuLuRtkVnJO+JY0RYFnWG/0HizoI74noPvW9MgpgnrI6ZBPFjHqo6bqrhG4hrEdFGSngwsl6RW2Q+tmvB4IthOaJXHE4bYr8dascplDh88wIsvvcSpU6eIGTp3rl/LpzduIJP9Nc3teANj2/a4YCiKQi6XI5VKjQttTSnp0TQUCAI3dbgkSgL0e4ACqL+eruYbnboFI67DnTNhfZvImhRdKDhCGAo2FB2xX7AnPpavOlYMtsuOGMKv7ELZA8sVRWHV67wDl8rBfjheihdYMsGQjgoIF1YXn0wP3J5UxDpJBlZJaMUkg+dELZvQVYoFLpGpTnSbTBVMHQwd+nv7eXbLVnZs346hKKxbv56777mXpubrmj35E4NlWeOCYRgGmUymvrFQfQfsUnBBKFR6SWrBBG15sC0twVr4UIVbamDa64hf9gYD/IQI0Pl+Ze2F62Db8yv7frDv+kIMxixhiYxFxGc0sE7GLHF8LLRW7IkiFB4rOuL9IDgHxLGSAxfLEz+DMtm2UrnkVEWIRNKAjAGZwC1KGZCNQSYGpjXG+2/v5Y3nX+RUXx/Jhhbm3/0l7M672HdZF4KkCqtF1yYGeSe4Z8HfM9wOj9/s+L4/LhjFYpF4PE4ulyMWi9XhyoW9JEFaSAm7VWvlk/CXnjqmpPksvAHEzod7j1A8XA9sH2wXbK9iZYTb9mT7nnh+2YlYNU7FNco7QnAKdsX6KThV1o8DRYsrXSWtsiiqCLzGYsId0vrPUtrxBiNHDgBQmreRN9N3c+ZMM8YZBUMR1ogRiEYyiMskJ3OH9EpAOBFZkpG1fpNd29WCYZom2WyWeDxen2CEnarjI27dZH+ojxEf+dyqIaHVYqjBBFzBQNbhdVC9fcVjBJZMIDyWJyyLYlQ83IrFEQpGMSIgxeDxsgOWU3GTwnUpcIcsBSzXx47F8JvnkFp0B64eR1n7FU7GF9NzRoWScJUUF1Q/sMiMyBLEW1J6xS1KVQlKMvJ4MnLcVINYTiRbZEZcp/HtQOCiLtWUjM4+hdi2M8HCaGhoqFMwAJyg8Sys9JSCMV18bARjMq6ovfgQF7sfWi4RMfGqtidbuz44gUiM2hWXqeCEQVyF4oJZXF5wP+dXLaDg6+id6yjEcozYIgBctoU4lR3xXq5SMV6sQLCGqj6wEulQCo0bPXD/dF9saxropoijhGKS1ivZonQkFjMel4lmlgKxMoM0dSjWWtU6elxh4vGpwnMrMYxcNksuG7oktd70SjCmZ1Dcdl2TGEk+iI+1YEwFilK54T4sPsLlibpElgeOEqOwtIuR29uxXA8tkcL1RDlA2a88r+wGrlIQaylUWzmBW5SPWjvBc0qBO1W2wbeZmFUK43tBpijMHMUiVkZMC9woVWSRYlErJMg+RTNHSV0EhROBqISuU7zKPUro4rXhexgf4h5V8XFsm5GRYcrlMrFYjMaGLKlEvPbCMwWCaBmRCFT9JyOpiZteMKYChcoNNikN1+7c8P2KcJSCpehUlkJkyYcZpPAxN/J4ICZWRLzCWI/tVbJMdmAZjdiRWJAr4kPjY+VGZhbUNIgbEDMqQpGMukJVbtMVxw0hODEdTKUiVmFGabzQLnI8bgghv5i3uTg8iuu6JJMJ2ppzZFP1FLtFin2kSzLtSMH4NaAolV/+aGWGRzCDQiTg6/rBPe1d6SK5nlgsrxJvGYtkjEatSpYpf42Mk+2Aa4vxlB1P/H8O4r1HLBiyg6I7pXL+0RJ9VZnEXUK4SDEd4qZYhzGYUGTSkSWXhFzC5/ipIn1nzwFg+woX/CzvFUwSrjiHMHtU7TaF2SZNBd1z0PACF3aKfSbJBKRgfISoiLGBrudL8CLWi+VG1pEM0/i+G6l5iQRyi3aVFeNW1dREHgvT17YjXus44NjghtOChAV4wQ+9ERbZhYHawJVJxMUycsTm5MAwqAZnSnF+1JvjpbQuYixK4BZpFRcoGbGADB0ymk+nXaZd8dAVuGx5lAoeMVMEz1UlGO41+HuNr5Vr70smRwrGDY6qiBspfh2Nlo4XSUVXZ4/sicfzFuTdiS5U+JxyYLFEU+J21X7RgeEy2EWwUHCtZpSue9Gb+rjYvpqtA61gBy6FKobdjFbqjmeTTOHeNJnw1RabGTkf34M9F2D/gPh7NBtCXEL3J3SHjIibpIcFecrE46ErNR2B3hsZKRgSdBWypligUnTn+VULwm0Jt/2qzFLZqbhBYTvAmBVxmapco7yjkW9chNX19xRKRS67MYaMVjHBtFcJZXqecLdG7InNhp4NSRM+ZTr4jR6WB6+f03nsnMGYJSwbTRGuUiLiHqXCniWzkspOR7JJGV0U6o0LlCmK95J60GUd7VOq2maSY9H1VBNm88bHS5/m1LkUDMkVKGGM4jouvNBVmqzUP3SbLA8sJYZltItjZbBKlXaBaitmvNAuEKChsjjPJr2M5ilYri0smKLOaB40P6gY98HXwA+zSkG7SXVWKcwkxdWK6xTNLoU9TQl9Yi9SdB0txKsuwguXyTJKk/2plUkeqH7eQAEOXBTrrAlLG6EjI841+h5TpSFSMCTTwlS4Sq4vhCMfKboLBaPgiOAsnspqfSNGwgJXZVPnSpwGk4sW4IrXlZygEtibGO+ZkCYP4jZWsVI3M55NCqc8cRA/44ZY9GhQV7+y9iW0XMIM04QCvcBd0lURq9EjhXbRnqXq/fB5YcbOR0zzseUUOC4sbxKi0Z6C5gQ0xWBGApqnaMpGxQ+Ht5ZIPqaEF2h4pYa9SG7QtGSQR1NK+EDZS1LyE3i+An5EdCL9SqNVLlO0h2nMClwnK6iNCZ8XxHNsrzLHWlj6MeHXOyy+C7bDVdRaCNteTFW4VGGPUigw6aB3KZpVSkXWWQNyweMlF7b2weNH4eSloC7GhMYYLMjB8kZY2QzLmqEjC+lgfBld/XBxGSkYkpueaFOk518ZiA3rWMKepOr+JSfyvJJd6UvKO5WM0nhRnltJdU8IGAfPc2zE0BtOcHKhm6QAusjoGNGhG6Il/5HCu7BoTgEGitA9BPkCFRFTIWZCSwJmxMV6bho6M9CVE8uiHDTVaXlIwZB8Yqm2XPzq7WBjsn6lsG1gvAAvTEW7FZcpTEsXgxT0+LAOQbtA2JtUCiuCI31L47GeSPwnFDMvHM7BE31K6OBGC1wjd7Tii1iOihCixpSwNDoy0JWFuZmKyzIjAa0JYcFcrdFRCoZEch2EVkt0cf0rs0uTPe6EmaVIa8CYVXGBJgzlYEd6mSwhTqVge8iCYasytAPRdXSeagXQQI0EbFsSMD8LyxphZYtYFmSFuzMZMugpkVwHYVPe9aYyHU8ISNQViloW1cM7lANX6eiQiGG83g9jxchJReMoYb+RUQnChoVwDTERGE0HtSpO8P6+MXlmRQqGRPIxQFcrA1JdDT+y4SOClhkd9l6Axrjo5wnL8OORNG6YwQmDpVmzMoxC2hD7uWBpiImYyVXPc+o+skQimU6iwzyE27oKbUm4u10IQktcxCMaYkJEmmIi4xJ2FBtKMBK/cmUla9izo6lXr9uQMQyJ5AamdwROjQXWhjGxLiRpXNta+DBIwZBIJDUjBw6QSCQ1IwVDIpHUjBQMiURSMx8uS+JZ2OUyZRsUM04sZogpCiUSyU1N/YLhl/BPb+P1Lc/z3CGT2NqHePCRTaxuUJiihjiJRPIxpX7BcEcZ3LeV7U8+xVNv54j1zyS+6g4WrEoQlw6ORHJTU/ct7hbe5/CRAbp7x8g7g/T3nmD/nnOcvzwdpyeRSD5O1CkYgxQGD/LuoMkFo5OOOLQMHqFv9z56zxeQBR0Syc1NfS7JaC+Xu9/mhN2MuWoTG0de5UTfMXqO7mTPmbWsWdpJ+zSdqOQTjmfhXD7N2WOHOdA7xKWygW4oeD6oio9vFSmXfZTUDJo7l9K1aAELWg2uPWOMpF7qEgzrdB8nd7/HqLaOhV/YyIaiRerZ59hz9l12HDzHpnWdtOem61Qln2h8B+/yKfrf2cK2La/z4gEbSzNR5ixkfmuCrH2Z0cFLXC7HiXeuZ819D/LAvbezfn6KOHL6gKmiDpckT3/f++w/7GFmZnLHPXex7t57uaVrNrnLZzmyq4eDx8rSLZFMD4qB2jCHWUtuZd1iFW2oh57ei1yetZolmz7LZx96mIc+dwerm4YY3vk0v3ziB/zkV7vZexnKH/W530TUbmF4Rzl9/n0OFhfQNnsJa7tm0+WsZ3DZCla/sINX9u7myIENXFi7mBlIRZdMMaqB3rSEjg0mLbzLjp0HOdC/mCWbv8xDX76FuzOglY7T02kR/+5j/HDf8zw/+1Y6NtzFolyMuLwgp4QaLQwH+t7m7KkejtlpMfpP33kGz+XBTDE7fQn1/Tc40n2IQ3kxZKFEMi0oGpqmoekqqqaiqRqaEgwqFZ/D4ttvYe3qVhrMEgP9AxwfKFNwPuhNJbVSo4VRYuRAN317d3O6d4CRFwYpHs/SoI4ycvJdDo2VKTgnOXbyKK8fd1ixXKdZl1aGZKrxwClSKlnYDvi+h2uXKFseHiqgQCxOKm0Sj2sYMQPTUGufCV7ygdRgYbhQOsc7+4foO6czrzPDzGaLwuggF0bLlBs6aV52C3OSPkNHjvDWrtOcH/NkLEMyfSjBGHSKhh5PkoipaACFs5x5p5t3ui3KDUtYtvo2PtUZp+E65kaRTOQDLAwfGMG68A5vnnAZaH2Ah//4a9xzewdt2CiKhuJdpP/tX/CTf/w+j799gOM793BicxuLcyk5H6Vk+lBVFKdI8WI/AwNNXGoZYmTf//H8s2+w7VgjqWVf5MF7P819HTo5eR1OGR8sGPl+Rnp20l2IM9bxGVYuXcyKtnTENGkit3Idm1f9F6/t76H7yGu8fW4Dt81PMkdTZDusZMpRFAU9noALxzn81D/zb7tyPOMPcOHEexzttSm13smnblvF2q4ZtEqxmFI+4H5WoHCZ/r3HcWfMpePTq5nblK56kUasaT4r71vDuhUq1vvv8trBIfpspFsimUbE1aWoKqqqoqpZcu1LuHXdclZ0eNi9O9j2wis8d2CYIZlXnTKuamH4vk1p+AKndu7i+V+d4FzbMhZnyxQRAaaKaHj4eJRyzWgpjbH+bnb973ZenN/InPWtzG400KVvIplCfN/HLZWg5VaW/Naf8fv3L2NDk07Su8zI6V3sePan/PhnT/H4K8d495xK9o/uZtO8uAzCTwFXEQwX1zrL8e3P8My//4CnX+vhbIPBYMs8OhsfJb6qjflx0PDBOc+F995i66/28PrBYXx3mPyL3+dHuo0y8kV+53Pz6chp0jWRTCm+6+EbCVKt85jdOYvZCdCYQUtrAi68x9GX9nDordc5unMFBx9Zyap5cRo+6pO+CbiKYCgoqOhmiuZFt7O+cQ22kqGlPU2j4aP6VSlTLUu6bS13fqGNhZ6KYoM/K00moVUmopVIpopwNmPfwy2XKJc8nESQKdHmMLNzFbfPmcH2t47RO3CSwdECeZCCMQVcVTBUo5V56x/g4YV3c5+vgw96Ik2ysZEGMxQBBbRGGubdyT2PLmfNA44Y79x1sNUMqYZmZqRUKRiSKUIFPU4sYWLooCgqqhkjZgRiAYCFlb/I4GieIeIomRaycZPYR3jWNxNXtzDUOKmWOaRaPuAdlBhmegZt6Rm0TfnpSSRRPHAdHNvBdjx8x8GxbWzbxUFD98o4g29zaPcrbD85xOn0Mpau3sCi1kZkT+TUIGc+k9wYeDbu8Gn6j77IWy/u553jPu7wSY5v/wVbnPn0ZXwMa4iRcwd5Z3cPPckVLL3/YR588E5WtCW5ytzCkjqRgiG5MfBt3KETnHn3LV7Zn2c01klnq47f/TJvDr7BUb+AVSxQdA3UxltY/uAmfuO+z/CZ2+cwN/1Rn/zNg5z5THJj4Fk4l07Q13OQfceHuFjS0DQfx3HwfR/fsbBtF9dsINu+iEW33MKtXc00StNiSpGCIZFIakaWR0gkkpqRgiGRSGpGCoZEIqkZKRgSiaRmpGBIJJKakYIhkUhqRgqGRCKpGSkYEomkZqRgSCSSmpGCIZFIakYKhkQiqRkpGBKJpGakYEgkkpr5f2GdoM3bS9sEAAAAAElFTkSuQmCC)
For such questions, we should know the properties of the angle bisector.
Find ∠DAC in the given figure.
![](data:image/png;base64,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)
For such questions, we should know the properties of the angle bisector.