Question
In the figure if dilation is undergone to form a similar image or a dilated image then which side corresponds to the side DE of the triangle DEF
![](data:image/png;base64,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)
- D’E’
- E’F’
- D’F’
- OE’
Hint:
Dilation is a process of changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors.
The correct answer is: D’E’
Since it is the corresponding side of the similar figures, side D'E' of the triangle D'E'F' corresponds to side DE of the triangle DEF
Related Questions to study
If the polygon undergoes dilation then its angle measures are
If the polygon undergoes dilation then its angle measures are
If the scale factor is 2 the dilation is
Dilation is a process of changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors.
If the scale factor is more than 1, then the image stretches.
If the scale factor is between 0 and 1, then the image shrinks.
If the scale factor is 1, then the original image and the image produced are congruent
If the scale factor is 2 the dilation is
Dilation is a process of changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors.
If the scale factor is more than 1, then the image stretches.
If the scale factor is between 0 and 1, then the image shrinks.
If the scale factor is 1, then the original image and the image produced are congruent
If the scale factor is
the dilation is
A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object.
Dilation is a process of changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors.
If the scale factor is
the dilation is
A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object.
Dilation is a process of changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors.
Dilation preserves
Dilation is a process of changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors.
Dilation preserves
Dilation is a process of changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors.
If the scale factor is equal to 1 then dilated image is
If the scale factor is equal to 1 then dilated image is
If the scale factor is less than 1 then the dilation is
If the scale factor is less than 1 then the dilation is
If the scale factor is greater than 1 then the dilation is
If the scale factor is greater than 1 then the dilation is
The ratio of a side length of the image to the corresponding side length of the original figure.
The ratio of a side length of the image to the corresponding side length of the original figure.
A fixed point with respect to which a figure is enlarged or reduced is the:
A fixed point with respect to which a figure is enlarged or reduced is the:
Dilation is a:
Dilation is a:
Dilation is a:
Dilation is a:
Find the value of x.
![](data:image/png;base64,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)
The base is divided in the same ratio as the sides of the angle.
Find the value of x.
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)
The base is divided in the same ratio as the sides of the angle.
In the given triangle, BE ll CD, then by Triangle Proportionality Theorem, which statement is true?
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CVEZh0N0LH1wAFGZo+fA5TtIBOSgoApZpRvoYi8nt1tMBW+/btcc4556Bly5YoLJR79GgaNGgQ/ud//gfPP/88QcSaOYrhasItyqdB9gFFUU4EEiUU7gO8xcYyF51HTMbNz7yDF5u9h/nbdhmAKCIXUOsQkMQzGvSWJpjkDBAt2leMt7sOxX01WuKzFRuNf0W9PQIr3ceEkjRAUs689kg/dgAqJyUFgFKNSBqH50nwZRKoMbeaiWjPnj2oXbu2ccb279/fAEw+CYRat25lNBidl6V5YfSEbIzCqwhpHuVYgGI1iBi3AgxpJ9t4yoj5a/Fo7TZ4pFZzfDL/KwMOxi9itppx7CFJTSPupQguWeNL2Z3KYfCc5bjzzXfRcvA4bCiLGi3GBxQDakdAhXfVJEI+Y46gkhOoBHTSUQAo1YR888YfpCZwye/63bBhgzF1Lr30UkyYMOGIX8UnmUDPPPMMLrjgQmMaSTsxbtcMdQkCCo0dwovVTuQ7kSNWgCE9Z86uEJ5t2duYL30nz8beRNKCjXwiBLQwgSGWpeaUsyxNxR9Ju2TPYbzcuicert0OE1ZuNHmL5aeRExbGIas5PorAr8mDmt0shy1Bk+cdCysqtc96QqtnlZ/nX5B3Yd5uQFVAAaBUExJupNNaCtSOKvW4n4jHKIASJ2DlipV48MGHcN4fzsPQIUOxc8dOo7Vs27YdCxcuQqdOnXHV1dfg8SeexKLF5b08BJKMG2KeccJJGklqKXECkeki5m2kZSzcW4K3eo3B3fU7o/XoKVhXGjZahsBCPTZJahqxbAqxTILwxL9cykRyi7vKETgYc9H7k1m44dlG6Dh6Fg5TPUmwyF4mh7ST4P31DDGWIUKw5JYAIzCRj0UD6qQx+YAgpUUjaTXZMMHnjpET3BcIagpBliiVS1G70ZacYfnSBC2XgKc8AzpxCgClWpFabko6OUPzwMRzLQeU2TNn46Ybbsavf/kbvPTCy2jVojXatW2Pli1b48UXX8Zll1+Jc/9wPjp3eR/FxSXGf5FLR5BOliKVjhEY0tRKqFlQAwpRhIsof2uKkmgxfCYuf7k56gydioXFcaOxCGgUD0XCzRIhRQ0jTkCJE6AS3DqpOFLqfVKoA6LKl2v34eE63fBKh0+waFfUAIrr8lg0DC/JuwlMsmVwMyEzCVGQSV2F+VnAsk9IbYT3U3e2QKSMwFdMDnNfGo9LVcVL8twYTSbeIOtQ23JlhqUR57PKxAroxCkAlGpDEgjNv1FIAY090XgUgQsljDR86Ec494xz8Ztf/AYXX3gJzj37DzjrzHNw0UWX4Mwzz8a//+Q/cQHTJ0z83FyScqiVEEwyqTKkqCXEmWeEQlzGg/KL7OHtekxehttqvIcXuozC8BV7sa1ca5EwK2qbRF26BHUAOASVKAFFmkrSicCNR6l9KK4KsLMkhcb9v8A99T7EgJmrrXZDgU/SdMqkogZQsjmCS5bAQr2GT2fi0sqPI/DwoUB5CVCkIZWyDIXkkM7hbwMoBJIcAUUTh7JJmYTUuPiOYgRLvjXmGtCJUgAo1YYkVhTfjObtJClc8h5UUM9u3XHmr3+Hh+9/CI0aNELdOnVRs0ZtNG7cBA0aNsT9DzyAK668Cr1690FRcRGcZBSeW2a1Ay9hFvKSmXOYeW1j1sNX78AdDXvg1pod8cnyPdgc9lDE9AjvGyX4JMnpnMwThR/wKOhpAgpNH3LcjVJ7ippIbSkeLWC+I5ftwy21e9J8Go2tiQwOOtRAPM2OThEgtbBXhBpI3ACKQ21CA+riZGlC0kwEglLGZNpojEyECQI/mWfGycuyZczgGctZmj4u84/LNKLmFQBK1VAAKNWGKBAUZmkoAhRFQJNTM8tWWtyuVWucd9bZ6N6lKwoOHjIOW2kAGoMSiUYwecpkXHfD9bj7vvswa95cXi9DQW19jIJKEEhlUEDzZCN59NZi3NdxCC54oyVajJmFHRG29jzTdCkTAJxMnGBAMynLcsh0UjrLFpcPhoAg8yeRjVOQXWoQWRNrdlFZBo8xz9sadcHIdXuxhffRWJWUnkkO2Sw1Gl6XJjBp7pA0E2kewgj1JAs/Ze1JKUvzt46p9NqqbAIaMz5PP7jVuQrPILMppvIRTgJAOXEKAKWakHpzUikBiYInaWax4qCkkXZdlBYVo8Ybb+IPZ52F0cNH2Kb8GJJWcsedd+KXv/kNBn80jCnScFL8P0lNgkCQzqGQEjfjkIPn+k3Ar194F4/3HIV5h8tMqAJD1Eqy6Rhb/jAS1GwSuZgBgAxVCJfsGBBgXjR94tyjjoIS/pbWs4l5N5swF1fUaos3P5qAFVQpZD7JrDF5UEtKp+MEGM/4RAQUSUKAHLPmcVRceXnJxE/jmNX9pJ0IRwQyxikrm4ic82yZFL8lrnx4TgAoJ04BoFQTEqAkk2z/0xIhteoElYxnQhFs3bgJz/3xKVxHk2b2tGk82QKKxnT4UnT40GHcfc89OPOcszF0xHATYCkj4c84KHMzBjQ2Jzw0+3Qhznu1JW5v3QcjNuzCQabrjjn1Lrk8yy2l8JdQgEMU6pgxUaRBpHk4RUE2QZiouegvwStDFOVDLM8u5jFh90Hc2fYDXNm4Az4rLMU+ppUKFKh2ZAiUcubG5MuRVkGNTJ3ZWrEwqxtIBRFYpHLIEDgUjlI9QAZMyMQPnmeBhAdY3gpA0SA9nRMAyolTACjVhKyGonEo1BIogNqWH8HCL+fh0fvvx0MEjKXz5yOdpJ5ArcNJUKSTjhk1q3AG1153HR55/DHMXTCfgu9Qf8iihABQQGHdS+H7aNl23FS7M26o2xUDlm3CDgqtzBUDYTR11MWcSxVReososKWUcZopxpiQdkBZj2aQiDhwaZK5uTg1iBg1EAdFNNMO8JxNNEHqjJ2Oc2q3Qot5K7CKZpZG2sYIfALIpJtEKa8tygqI0gQC2+WbIVrlXCKWw23SQzZFlv+Fqou6l8WaOGDIFIaAQpbWIi1HzKsDqgIKAKUakQaryY8iMHEJCD6NGTUS115+OW6/8UaMGjoUSxcuwNJFi7Bg3jxMnfIFunXrhrvuvhtnnH02WrRugwMFBUhmKfy8VoPTpIVM3nYAz3QagmvfbI32kxZjU9I1XcSFFFx14Xo5+W5CyDiEgHQxQUWainpnjP5CoKEAhzy4IcKUwIrnJtIlvDZOjYOgxnIf4plDNuzE9W17456uAzGd5pRG4kYJZhonkiKolHpJHPZiKMmlWL6sMcpMuAWCCByiVoIA5hBMlcZnUDQ5H1AqNBCbn5QVYxaRZTEFdOIUAEo1IjsqVnFQJNzyPjKNQtWr+/v47S9+jt/87Kd4/MEH8eKzz+Dl557F8888jScff8KEL7jh5pvw3IsvY8acucb/oJCMpcxOo2EXF4fwzoef4vq3WqDR4AlYWZK0s4YJNjKHZDJQN4Ijp2k6TMAIUUsoI7hwm5VrNG0EPkNAyYZlGrnUpsqQdAp4VYQ6TNKMcVF39LJoArU/mYbL3mmGwYvX4aDMLZZDXcIeNa8IzaWiTBSl3EZ5tQbbKT1nbCoLKDgCKLwngUqrCKmvSSxgUX+OmDhlzCIxHzegKqAAUKoRZeVPoHD4Y1AEMFqJb8iAfrjhmitx/tln4OrLLsZF5/0Bl154AS696CLceP0NePW119Crbz8sW7UWIfX8MK9iNt/7KGWb1UM0cRaufrMJnu/YH/N32eUvZFA5PCdBjvI8OU/jFNdUNkW8iCMdjyCTsIPS5ELNUSvJRlkmmj20eeC5YaRdQkiOWg1izM/OSJaDduTKrbi9dhs0Gzgeaw+ETccMH40mjHqIYgjTlAozz5C6oWkuUQ/hCWSZPtJSBCweYUR+pJzGmEiLks+F5WNGPKorDEgZJrhwE1AVUAAo1YgEJhIQSpfRUhIJiribxJaN6zDps7EYNXwIhg7sjw8/6I3BH36IIYMGY9So0Zjz5Xzs2LPP+DQFFArlKNDYSe49bwlurNUCt9VpgyFfrkAJBVutucyMjKuF0XNmhcAIE6WLyPxxKMwpApPnxCjnmgvELcvhxWmexMhJ+Vs0pJ6Aky0hDpSw3CmaWeqkBr46UIYaNK+erdcV05fuOCL86oKOUrOJZsLUThIoo6kUUY+WOYOcIaBQ+xFbQCFMGUBRz5A0qYzpctYzymeiPPkzgJMqpABQqhHZ1lZENV7zZWIRs2bw0fR14dE1RuMgGzChVlLExI/XUVNo2AHXv9kU3SbOwdZwwpwnAyGdShAwrHM3ns5Sc7BduYZZkAS1EK11nKUZBJonGZYn4VCoyY5DQDHjXKLUpIqpsBRxy7x4T5XhYCyFUZO/wsPPNUevATNQGpOOQQWEWlcsGUKcJlUsJw3FRZgmj8wtdS0bhzQ5RzYzk6ktVQCKZwDF+l2sE9YACu8ZzFyuOgoApRqR7xug4WNMHs3nMd0rlYCITwITnSFBlnageCSKXL9gXyEebt0L5z9fH62GT8G2kjg0MlVx7hVwyUtHabJEeQ/uqwtWYMDjAhQTmS2TNbFP0hqbwjKkqD2E0hkCFrUE4yzV2FQCSq6EpkwpS0iziNKtnmzlt3lrMV59vQvertUPS1fvN2aPQ8FPEYgcN2IGx2kgfpjl0dB5TUBMEsA0sM8uPkZdieVUL5PLJxSgaJytWOaPAErjV7LUsMTSVAI6cQoApZqQ5ME4Go2w2N4eAxcUtqNYxyjQScdB3HHhUPDjFKgw1QPfN7I9FEaLj8bjwufq4bkuw7F4b4nJX7NzEwmKMM2YHM2YTJaAoJACpluXwk6BN4uk89xiSqvm9CTVdSv/Co8V8XrNr9FAMpkpGZNHKUFF0w0FRTJZWG4WM1qawQcfTMPzr/TAsPF2lUEBlUuNJC1Q8dQ/JEjSousWVJIEE5fs0RRS75KXSVKrcQygSIsxI3WNRnMsoPDVCFkDOmEKAKWakA8oilniA4oBlaMAxSj6pjWOxNnCJ1MGQKR5lBBQNIP4MNOGzV6Au95pimfa9cVn6/ejQDJOQFD0t0i0jFpHjAIbN4BgorkZU0MrDmpciAad5VDCrQalyVkr40bxUwq4X1R+XLFpMzKFsupa1rRDaSg0RuT/0EzgRA6LVhzGy/X6o1aX0VhaHMd+Xs+zCVwukm4KMZpVcQJZjABpZh7zWCzDdC9OE4jPRkBxtfYyAYV6lOkREmt8TQWgWOblAVUBBYBSTcgCisZcqOUXmLC1N8aMQEQsETJiZP5PamIcQURgYjQKbrfHXUxYvhEvte2J+2q2xMgFa7GHtkxxmhpMku08QcUheGjSn0IauJ6MJAIAhTarSXwELY2ulaEhwZfGo/ABYn+WsjQNTeyTRpPLaJ6PnTOUyZIJAEoj2hh/yq5wFm92Go4barRGl/nLsIrmkhnoRgSIJpKIRhxqTBlEWTZN8pPmU0rNpTgV5T0cEzYhTVNIHcf6c1g+h+/Fdh8HgPLnoABQqgn5gCLtJCMwofB8HVDkK2DrT0mSZiIjQ5qDYEGCPnv7AdTsNQL31u2ANiMmYxsFVqBQ7HgIKXYI9+3cOl6vlp+sXzkBCrUNo2HwntRVzJB2mSgGSLhfIlDhb+kiKQmyiiaHCcsqD04mm6Dw04ghACgim8qnAXXdZnyFK+u0xhP9PsJ8XqjBdFpc3Yl5cCN8Xj5EKkkzhmAnzaco46IwneQ+tZhyQLFlopbCdyLWuJQAUP48FABKNSLjjKWo2LGhlQOKupYdSpK6T9XNK+1EgabXhaJoN2Yqrn65CW6v0wnDFqwzJlBpWsPvpXEQHCS0ZImoEUlKYo4CnCGgCBCM+cN7CtBSvIc0EQso1BzImoOT0PwiaiCUaxaLUmxARU7UJBWTOJOSNKloyvCw5vLMK47hiR6DcU3jDpi0r9SUSZcZpDtI8+0wn41qFhUuRFm2EmpnJby/ZhEpfq3L8uk9aPSJeoIMmzd0DKAw34BOnAJAqUZUOaCYtricBSlybGravgUTaQ3rShx0m/Ql7qnXCWc9URcXvdgUTYZMwGF1IVNIC1IZM9O4QD03vFbag+lqTVM001ZTcQkodpg9753VcHhqEby1iT2rewlgaBa56komQBFDjLUkdNAANIGR3LXSUhyep8BIu3l4G69tOm4qrnq9GXp+vgQHFJRF1+104cw8gNCcPcgeJkhQfYow31JpQ8wpQpRIMF91NRttTb0/LJvej8e8Zb7R6jKaSaCdVB0FgFKNqAJQLJgcDSiUnvI99cZoOLtMkp3xNAbNWYVHmvTEvY1747UBk3B38754oGFnLN9TYADhAAFlF80eAYrMJOWoaGuZBEHAlRaQotZDYCFKmMHtBI+sy1JIeeC9zBIa6jpOU29IxXiMQs6iCVQU21UOXbNCIHOXlpIkuJRRy9hD7WU/7zVhzU681nwQ3m35EdZ9uQeZrXGUfLwBy94eieXNP4OzOYYMVZpoMotS3q+YZSjzZPJQG5I/SfaVsbGMXkIgUTc33w6fzb4Z+24COnEKAKUakQUUtcLfDCi0Nthy24l/RRT8KWt24Y3Og3BHnY5oNWExZoY8tPxiKW54pw16T5yPfUk723hXwqWwUuvQGBIKpxnUlqRWIictzQpHXbYEAaMDqPWnqaQlPRxqCYlMktsoPE0e1PiVtIsUC6IJwsQSZHieTKcctRz1HKVyCQKe7ptGIR9hfyEwfuhKtHuhF+a3nYrCnkux8tnBGPb7tzH+3o6IfUU9i+iY4EOF+ajFMntcx2goclBrBK3hfEDhezAKkkkJIKWqKACUakPya/hgkm/ySGQosOV/SpH/RM7VVfsL0HLQeDxQrwNefn8Yxu0owDamD9y4CzfWfw8PNe2BeXvt3B11K0cplAknQi1DEwCjyHkJo1lkjG+CYENW0GhtXZk9AhkCSCpVRDAp5LnUHbJhRL2kXVidwJOiJKdpe2jOUS4dJ8CEkMqEKfAO4jzHkTPlMLBv1H58+kBffHlHL6y4ujNm/aIORv7DM/jsquaIzS01wWxdnitTTsBX4iggNt8H93PUpnJa8Ezmj9Fasua+1qVsQVaQG9CJUwAoPzipbcznP5WknVgwsQCSr6FYQNH/OiohKqF60G/CDDxQszVe6TQIg5esxzLHxWYe+6IkhNeGTMD5rzZFt9krsJ/mjnG3UkBTyVJqJlQZMlp5h4DCI8pZd9FIWTltNSbEoWbg5ZJIp4qRTuwjANF4yRWyRGEUe3HsJ4AUUtilKcmB68m3QnMoky6DlymD6U7mv+weFyWT9mJTzRmYf1k3LP1pEyz/+7ex4u/ewpy/fxWzL22DxOQi0yWUjui+1l8TlRZETcxoPw7fhSYM8reJFXMMoEhbUfkDOnEKAOUHJQGI2sZ8VtqfQtbcMUPa5YQsBxTjkKRwC0yM8JAVlmDm+u14sVV3PFinHT6cvRxr466ZDLiVxzZTgxmybheuefd9PP3Bp5i/R4EaWTJqKbk0zZxUKU0UCyimI5naCGUYGuSaICeN5iFAccyMYi+5n9dR4nPFPDuC0kwChyjwJbxOORhtRqErpWJ4tF00YI7mVGxzIXZ+vBJzXhyKyX9ojcX/rzk2/F1d7P9xfRT8QxOs/dvaWHphRyTHHEBuF/MJySQToGnWM/OUycP7CEwUgEkrDpr4KHkmj88BoFQNBYDygxFrtOx7jcMgWzOFzDSNFbGxTb6ZdPxYFqiYNW/IMnUEJqlUAmlPE+Ss+KtnZ/nBMGp0H457arVFx09nYGVp1AwYUwzXwmya2xwWhKJ4YuBYXNakO0Z+Jb2FuWs6MFt4TfZT0OhcjhpKhgBGDUYR5al0KDKBccZq1GxG5hDNl6xXxP1SCq2iyCbNMPmotBM+pxkTomfmfZWXWXKU++nDYSwZ8AUG3NccQ8+qhfk/b4qt/94Ch37cCLEfN0X0f7fCtr9uhHUXdENq+F5gB+8bpb7EPDVaNuVqkTCWT5Mj1YtEtiN58/U2XsNnFQeAUjUUAMoPRhROAyYUItM7Ul61jUZhgYUH7KmV0LFgIl9BynUQT0QIKopUzzyZl5OyQaal3qv7dnVRBB3GzMHtNd5Drb6fYlFByMQgkZ9ExoubISBl49jqptBqyTqcUactWoz6AuEYgUOAYookx6sGs/EKDbmPkSnMGmRWjgdMZ5koxJpFrFEsGlmiRTM089cXYObCPQuoFlyZP4Ve6kN6XxQL35+APlfVwsifvYFVP22K3f/UFKG/a47Uj1si+qNW2Pmjpth4Tg8k+m01a3vo/gKUuKfQliFkknwq7gs2BF2KhaLobAIUPYZYJRDzzgFVAQWA8oPRNwDKEeaxb6nm+WAiUszVcLgMSa2nk6GpIROCoiJnKWXcdBFvLkmiz+T5uKdme7zSZTg+33wAe3i54sJqtKwGfWXdMM2PMhSyBJ8UhnFFy+54tFUvLF6/x/TK0KJgviyhWnwihwI/p2nnpOMUTKKWUTJMV7DKJMcsy2LARJP07Po3EmCrhen5hT58XrPPNAKRhrPkSghDc/dgc8spWHBjJ3z5k9pY/dc1UPh3TZD821aI/6g19v+oOTb+uiuKOixDZgMvShKLaOo4GnWbChEAS5i1nlzhDzTSN2cG2+nN+qRnEdu3GNCJUgAoPxipGsvMEZjI72FBRa2pZVV7AYqqegULPwyIGMkWC5iYFyXYScYJKBGj7qdlNvB8CZCGzB9KZzH6y7V4okFH3PZqYwyeuxyHeAuZOfKpqOdHQaDVg5OjhiKAWcZrXhs+AdfWaI73x84w6/JEmCazQZMA5XhVuMgkAaQ86iI1F5aeSoZCvCpkgZlLQ9NIM3ysnlCuDfB6C6jHAIrp8eFxKRb7qHUsKMWBZrOx8NyWmPe3b2DH/2mA0r9vgcRft0XRX7XGpp91xq56M+CsoDEn64Z5uDmaZIpnK18Pt3q/6tDWWj7qBWJRzdvU/xbY/Pcc0IlSACg/GPmAIhGjqH0NUGQUWMMgn49oJUcBiswFnUux1cS4lA2E5PtMNCBt+vqdeLNDf9z5akO0GvQx1heXmsFtZbxeHhedH0vEeL2gxJpIO5n/qPXbcUfTDniyUy98ebAEh1IWRKT1aDKe5s8ofopi0CpNpVAPSozAYEeqam5O0jiL9bRiPYkVYJW7AlAk2FneU1qPCpQT2u1nfp8fxo4XP8WSs1tizX80JKg0QujHrRD+6/bY8t/vYe1LnyKyqNhcozCYac0r0oxos/KhSihwVeiCrHlmldMvg/VZqdQqT0AnSgGg/GAkcFBlrgCVCkBha32ELZBYtpX/2wBFjlCXmoFaYjOxj7xkXyEafjAKt7/aCA16DMGKfYfMvJoy2jChlF0uQ6WIU8NJUUuRyCcIQgXMeoubxjvDRuGqhs3w/pwF2OMSUJinCabE4xJQ9ff4EU0ETAojEGV5zCLkAhQzeVD6iXL2zQv9bwFFz216qPi/hsQrwJI0lUyEZ+sB1rlIDtqCvS+Px+pLOuCrf6mDvX/zLkGlLTb/Z1ssenQgSuYeNDfXWkQpjyDiRanphHlvxWiTfqTItXbCog8oR96jeXe2VAGdGAWA8oPR0YDiaya2DbdsAUWV3ec8kFH9N2x31Lp7Gdf0mKjrNMRT1MBvodR3Hjsbt77WFM+37I6ZG7YbjUS5xNJpE+XMhCPwUnA0LyerLtcswk4aIRZJYDFg5Spc8W4LPN2rH7Y4GauRuJpkqKH1dgJgCcsUYRlNZDTmp9m+cUV2k+ZlRsHqmfwil2tZLLPMHj2/fByCFU1cVNAnTfbLJPmOzCRA8moHzsd7sevN8Zj9m0ZY+Tc1cfjHzbD235pg+m1dUTBtj3mFWtjM0aC7DPUnmm45MyXABlj6GqAITKQNGVBWyQI6UQoA5Qej7wsolbHE4WiSgKp72MzypaBo0t+ulIcRi7fi0Sa98HDDThg5fwUKKDfyq5glPHVvCpzWDFakeoGRx2NRaiHhZJqmk3XmLigtw8O9++Oa+k0wbfs+FLi8B1lCrwmAZV4WxcwrRFGNUXQV7zVOaNHKgBJmAyZGC7BkAEXCXK5d6fnl45AWoTEk0QyBiYKu/GV75fgwOXVFbWF5Rm3FVw/2wcL/Wwdbf1wPi/+xDsZe2QL7x/Mgy6t1nLW2s55LCQqpIGezgE6AIoMuH1A0NkXME5kS0IlSACg/IPk9HRZQLFj8yYBC9igUcsBKaA5TGL/YsBuvdByKe+t1RY8p87EjnrQxSdIyC5gPtQfI15BWsGgJIM0WHiujdpJIs1QslkybXRS8ZlNn4qqaDdF61ARsK4vahp2Xp3leJJ1BKX+EePcYoSTGP0GKnTBIvYNaj9FIfNKuHiEPUAQp0iIU8zXMayI0XdTFq8syVIM8eY4LecnaBA52W4h113XD6n9tgJn/XAODL6yL7R8tN+hntR/mabrNXd6COfMdq8/LAAqzEaAIqyymyW+j76BCBXSiFADKD0hHKr8BCVXxowFFgmbARq28uBx4fLdmPinFDH3nVqCxaFchGvb9GPfWao+WwydjTXHY+FRkBsXY9MvXQJuCoBAybL0f1GziCRTFEsaxShwwGouOTtq5F39s3x0P1WuLBdsO8UxdnkU6SROL+cUpwNGcoCRMDSjMskShEIzqbdKSoBJeyayRW/0n7cAHFAp8PqCUUasochMIyx/C09Np3ifC82THFfP3ilKUNJ+LbVf0xLTfNkavC2pgea+Z8Ar1DHoKlk1jYMw4mAzBj9cz1e82Vp7mjXNfEwXlCA4ApWooAJQfnFSRBQdiVfMKrgAU29p+G6DoCpknEv61RXG0+2gK7nijKWr2+AgL9h623cNk9frI3DHDuSjwWt0vk9L6ONJQsgglEigmqBhA4W08CpuEcA+1lm4TZuLmlxqj38SvUBJn2RwKatyj8HLL8iVyEWoAJdRMFHc2QhNM3dcEC14vYDIaAdkCqZg3MIAiD4rAg2YJ8ynJxHE4FeU2ZeblyCfkpailxPjs8vzyIXPTilBaZzZm3fY+Ol76Fr5oOwbRXXp6Ag7zTlG9skuz2nsJPAQ31hCy+6Zc3JoycRvQiVMAKCcFqTr7oGI1FbEPIBUaitIoJEzNJ10lAZEGspuXDJy5DHe/1RL312yF0YvW4QAFXsckboq96rDll/8E6oFJxwgoEWidHKVp/eA4hVFzYRTdzaUJlHRtSMa5G3fikbqd8GLLD7F0yz5zY49qkbp5PWoVDjWThNbZ8cqYbwReWhqKBrPZ8vnC6zNRjGwBRX8afhYlsBWzTCUZLeTlotRTvFgCDi9wtZypP6tvC59j+C4sfGs02txYE0Mb9cO+dQfM29PhpKseL56r++g2KivZn8MjUDHaD9mYP+SATpwCQDkpqLzWm6pdCaCQNZRecUho7Vvh0ihUtbw8qrPMODDujFiyBU806YG7326J7uNmY1vYMUCi9XY0sCslASeg2Liz0lJSBkwy6onRb95B+oKCJqU8Byk3hWSCYMYb7SpLoNngz3HDy00xdOZXNE/kwKWAlgNKmhpKKlNCICklBkaRIaA4roMkyyohNsLLclQACv8zfiTdV3fNEJColVBzUi9RlFeEWa64tBye4RIYM1R1eCto8lF2dRI7R6xF37e6od3b7bBg9koDEipX3GV+vJnKrSBOdioA3yRvKV1P5o/8TTITFdpJ7zGgE6cAUE4aEqBY8DjC1Ep87cTTglqeAgblqGFQ8DQ/h9qGGeHKs+U3mbalCM92+AjXv9IcrYd+jg0ljjGDIpSkhFp5Cq8ZLs+tgEl5qWdH4GLvL+GW6DoUxjgS1Fw0hN9NuEgrGhqldcyy7bilRmvUGfAJlpckoZCuGtRmnK9aWsMrpXlSSuUniqybNMuhJtJabMtqBjIzfFARnliyz87SmT8NgZM/hQYTWfsCJMJr+XVG+uWAJaiktjuYN2YB6tC86zPgYxyOC4gInmn1QhFEqJLI15OlySRwkdalOT0a5BbnvsbraJKi4DugE6cAUE4aqgxQxGloWVEtsynnZoqttHo/tICWWlktHVpGQdnLprbxoMm4/o2OeLXLKEzbsN/4TNRix9IOHM26pSTapS4kQFbAxdq3RKFS809g0Gxi16PZoqDRWkIjbmOXLC2M4dmuA3Ft3ZZ4/8ulJpC0wkQKhsy1NHUyyTJ4SQJKSuELtPiW1VDy7ydQORZQxDLrfFBRhHotfSHfiuYAyTciLNFlAglFvZd9c3BPGeo2bIM3G7bGgs07jXmn0bwGtHjDTIJgokEzvEU+oGgMrZzY2g8ApWooAJSThnyhqjBzrL6ucRWKfJY2Zo5ZjpNH5SgN87CcrAccD6PmLsedNdrh0RYDMHrZLuyiwOmY1HmHJo3nR1cjy3CSYEuzEUhYqBExUzlnzcqAmgOj9XLUE0QNKZlDlCdtY8vfc/Eq/P6tOri/b3+soDmipS0kmK7izMZ5TUKxYwlEDnULAp5CQcpcOQpUdKsjMpwPptKY5FHhdQRUs2YxS2xgxgi+1a5SqQyiMevwVQyW7oNG4KFXa6H7mIk4QHNHfhTlRoUMOb6sHN+HEtRFrDlIMTHzUbkDDaXqKACUk4Rsb4QAxJo5RjsxgiYzhKBAQIlTYLXUp+no4KFinqJwh7M3bMNzTTvhwQad8P4Xy7A27NnuYQqJHJ1mvrGi0qdjBKcEXN5HAidfg86xcUlUBpkF1Hs8TRBUO09Nhb/lfCCm0eTJGY1kfjKN67t2x9mtW2Pgnt0mMFOI5YpHqU2V8V6ScKogKYfgRe3GcwiGrhX+I6DCfYEK/5H4MObZxfZ5jV9FbERd+o+gRM8isKF2RoAKEdykHamkM1euxTP1m+HFlp2wZG+B8RvJf6tym54hvTgWQAPfkkSZKN9xlPfSO5Cmp7cd0IlTACgnCVkh8gUrH1CYzv+1OFeCLb38FRJerfSn1vWrPftR471euOvNxug0fh6WFkXMSHXNrQnL3FCAkjxAUc/LUYDC+wpQJOQWUBSUiFcrIhtNHxtLgIDDYhGnTN4Kt1Rz+gz85t2meHnMOGxMSkhZRhYsV6JMycwwQ01BEe6zKWoYzOBIL0s5fxOgGNWFz2t+Ez7sVu+D4MJ9AYrMFK2fXMRzCwle+6JxNO83GHe9UR9DZi/CIb4raWAplYNgYjQUAtARQDGgopG5NB/JAaBUDQWAcpKQBRRJmASJ1dsIkRU3gYl8AjJzSimVWuxKjsctxaVo3G8YrnnqDTTsNxrLC2JmMqAZb8Jroi41BM8OP1eUNUoWBYoaA+8hABGomIDV5QJlAUWLn9PkyRIVBC6KrZJRcCICFIV3HwFiJ/fHHziAuzr1xJ0N22LppkLkVKD9lNnVcYRXFCG6s4yaAXPl49Dm4SMRWFhugUg+8x9Zz5zHBlDEfAdipQlYDKDYeCoa9ap1kgt5XjEzEniMXbQcj9Rridq9BmBDJG67yVmEDNErp+UKCTICFIdmmgAlxvesoNpmGgLPDejEKQCUH5B8EDmafeGRqNn/1aOjsRialFfE1lg+i4MUjK5jJ+GKp97EE007Y+qWA2YxLikHYoGFYpZoiQuPWooGxsk/o1GphA1zB5k5AhLjIOXW/G+0IwKQ2JNTNYGEFiZnXgKz/bGkia2yl7+7jJmO515rhWnDlyK1iveYHceeHsuxtOMX2PT5KqSLZC4xK88lMOn+5g4VeOEzU488PxOEpQZPadaYuTZK4/2kndiya12hDDUUmXa+2QKsLwijQZ9heKhhS0zcuAO7+HAyiewr1Y14Ja+Rs1cTGJPMw/Q66Ti3AZ04BYDyA9LRQOLz0YCiXwlqGxJo+QrEiv86eOY8XPtCDdz8RhMMXrwBOyQ8TI+kXbbK6iMx7Tkc/tYs4gwFSe7MDIVKPR0STG3Nn8wLcz+x9VsYLYnajevEESegKNxBiILtz/NRCVcs3I4eb/fD2HdGYV/3Ddj37lLMuLsfRj/QBYs/mIHU/oSxbbIpaToyvewzmTvxP7EPKkeePx9QqHmYCG4sno6p/BZQCJrUMEqoPUVYVj1rjGXSooKDZi3A7TUaovHIcVgSihhNTufbm0lLSlPjc/lOtZaQHMA8pMcXB3TCFADKD0gVIJLPqtkSAdb08j2JoswNAYbU+Dlbd+K+mk1x0ZNvof3EuVjHS/aaYzRznCiSqTiv07gNtt4CGLIJzky2g9osaJgxJxQsDZqzdzKQY/6kyUDApIFpXpr398zcGionQirFLEBk+j4senMcptzQE6vvGoVFl/fDyF80wYir2uCrjlPhbqOuFE8jzTJlcjSlDFLY59LjaffbAYVbMe+pY752IqAUIERpxskfkk5nEEvYbu25mnPUritua9wSn2zbYcbnSFvTfB6NBFYgKwGKw+vUnZ0tBy3z+AGdMAWA8gPSUSDiS9ERluRWAIoWLReYrC8oRs0ufXH5H99CnQHjMD+U0Kx+7Ka4hSm0KbeMIBDhL3W25hCnaWQizPMc+Us0KM6EFKBJYwJIZyjsih0CDR2jCUCW01ZxUUAAUbR4CV6I2krYSSLjslwlPDTrMBJtlmLf/WOw6jddsPL/vYd5/9IKn/17U0y8rBNWNfkc7kqeGE4hlY4y9yTvp/z0rCwMSRsfUI6QSSTrwbUtZxbdnCczTT1XCned5vNqwJ8TScKJW0fz5piD1uOn4OK366Lt7PnYwWuMCahn4nXqz1JXdIrgkmZZMikCjUOoEqgEdMIUAMoPSAITIylGYvzmuAJQdETKQJSH5SPYHY2hy+hJuOmF2nj1vYGYvqdIq0dgEwFjN02KSCaCjBn2HqZpI4GjhkIpjPAeIQJJxIyulZovQJGAxwgmIQMqGh1rAUXjNLJmzEtGE+wUY4XliREM4ukUkiUxHJ63DVsbTMKOG/rjwO96Yf8/vYdt/6s11v59e8z993b49NctMOvpQUgsKGThNT8owTwTvB/vq64e88wEUv5vzC/t+FT+OnxAsVqLvUTnmXi2ppz8X5MbaU55ES2LyjISdA/znHFbduCGpm3wSM8BmHmowLy7uIESaTm6VhMRCbnCzCTfs0LPBYBSJRQAyvFSVdY7gYaETP4FOU3JJo6HsfVV8W3vhfwmB5MORs5diofrtsfTzbtj4tpdZkzIHvLujNYBjiNJQDFBmb3Ykd4cdW4IVMIEk2jaM45aM4yrXEMRqGQV2YwCKnGTOWHMI7be6RTFlhyjpiLnpnw5pbuLsLzXJEy9oRUW/nt97P77Vij9cUcU/lVH7Pn/umPJv3XC8H+vh09v7YzojMOm8J7yURR+gpkNWUDmffQqBZuVAko5V2hx1uSxg9uslqXBel6KYGhG5SYRc9LGLFwdjaMGgffS+q3QZcY8FNEkki9F5pp8SNJOFBhSC6ZLQ8klWC4BXUAnTAGgHAcZ+14CoW1eRfe5MpKwHMuWJC0EDkVKcygGpkuXKrxm6BJg1BPhO2LlhB27fCOeatELjzTujg9nr8FOJ2OOlRB4QopSL9NFy3eaHhppIAIO29BLyzEgwZtbsfGP6DwCicDM/LbHVUTJvKeA1BS4UgpkIQEmzFa8eFcJlnadgMmXNsHCv6+FfX/TAtG/6YTQX3fGzv/dGUv+uSM+/a+mGHfL+4hOIOQd4t3CBAAKO29kMzZ3OJr8d/P116gEXWPZ/zOeHpY74/G5k0XEYk1KTFLzyOEAMxm6cT+uavQenuk2EIv3FRpzURpJSgBpfEIZmoN8/3y2TEKzrvX8AZ0oBYByHGQdhqzY2rLSHj+gqDX2z2MFpjaSTdE8cVjdpS1IhWdLrgl8CQKFBr9LEGZu24M3eozA7bU74d2PpmF5saKj2RGzDoXKpdmScmnqCEwsHJC/jfxzfK5EyPWYbs4MDCtyM9jveijl73hBEvs/W4/Vjw/A0p80xNa/boTSv+2Isr/rSm2lM5b/S0eM/7/vYvx1nRD7eLfxFntFHtKalmxu4d/zaPLf0dGv0T9Xwp7PAhQ5Z7mlhpV2DhJQDvKQQDVjHLHzQ1k81XMUbqJGN3DeMvO+pKE4ybTR1MqoBUbkdE4TlFIaeyPYDehEKQCU4yHV9vKa/30BRcm+sPjdtZbYMhrtJESFIkIwIaDIDKFAaBSpxlZIA9kYiqJBv1G4o2Z71O0/HhPX78MuyqYEROaQ/CFemoCSKGYeApQqIgofs9aYNBMz9lA6jZBL3UAF20FA+2AlNt/aD6v+sxm2/p+WOPCPnXDwX97Hhn9uh0n/UBsTL2yN6MAtwC4KfilNrZg0J2Ws/74OYMb0IeuvgnSeWCAigfdZ2okG5BNQqJV5bgHLSvNKJh+BQubNhmSO5s4K3FKrHep/+DH28Rk0MFCzkGPc16LuMYJJMhlHVhMnjeYU0IlSACjHQZWBSD4fIe1W8vPoZJoT8TK4cTlRYyZItCbDyTSJUH4kFPuonvefMgd3v9UMjzbsglEL12KPY+fpaEyIglEbA4CajUuzST0yVUYqaIbPRTlT71AZTYSYzALdghZabnkMsV7rsPmeIZj3k3ex/l/bYO+/dsC2/9MC8/+uDuae0wqhjkuAzTRCFITJ+CjywUFb3cSmWzjxz6mMdX7FtR5NT9PtS9TLau6RmSqQ4HewvT2HecmcPaV4vHkvPNTofczeUWhHGJPlU5KRp3gvsVjImJoBVQ0FgHIcVBmI5PMR0q7PhvKOHTlATYQg4CZCyKQTSKUdM/kvQiFWN+ch7o9bsgp/bNgOj9drhx7jZmN9YdiYOZrQZyLDUzCMWFLqFUPVjmGpIlIRJbBUUVwCnaLGOx61oRSNDalGGq67xkVxr7VYcF1PzKT5s/Lv6mPfP7bAxn9qjCW/aoKiel8gt57QeOTxVb58TcMHi+NhH1C03IcdUyMNI+sl+fzyoNhQCXqH+6l4tBo+BTe90RbtP5mLXZ41ISPqLtazUaNzktQOs9/XVAzouygAlOOgykAkn4+QXzePJEkQ/IQ8waAAZDQDmMKg7tySuOKp2rVjvty+B2+064W7X2uAHmOmYmNBxIwEteNJbPev5tdIYVCPp8TsyO2qimR+pVg2lk/dtGnPJQhSeNUzUu4tzqxKYk+7BZh2UVvM+cea2P2vzbH9nwko/1kPh17/FNl1ZaZc6p2pAASfBYd++vdle520OTmuPZYxQ9DL0HzRAD11DqtbOMk9vcfJa3fioca98HDTnlhQFMEhFqZUIMnztRCzmbvE62xZqvwNnnYUAMpxUGUgks8VpP18lhDkC4TPVNezjllkK0YVvsglM3VLxEEngshtL9ZD7U79sXznATO4zTBbVZdCoChrEgGBSpxajZR25V6VpIFoSScGx42xRXdMi55hWXPUjtwUzQbdlE2+81UpNjecjKXnt8Xqf66LlX/7Nr76j9o4+NwIAk6xATyNtpX2IAisYHVSf52tcH8T2Nhj8h0p9JIGqaXTHtIpxV2xg93cbILviEDI83YnUmgwYBIuf7Upeixch9VJD8V8Z+oO50XMkiBE00ejhgM6cQoA5TioMhDJ5wrSfr4A5IOIz1S5WZkVJzaZUa+DXZxrh+Phw1kr8GSTbnilVW9MWrqeLary4BUEEc+Lw0vHeT8JH4WZ14XlZOQP5VpVpLylBSQVP4X3M34GzVg2Q8LSUEjJcJpmF4Elw4In5x3CwXcmYvkvGmP6Xz2H+T95G9sf7Y/U4kMGUExgbD7z0YBSOVe8o3wgyWf5TjRfya566LIcrkvWIDyCSUoR99Nl3Co2LfDR4k24sV4nPNF7NCYXhM2M7BTPz7kEFGqJaWqJmcCPUiUUAMpxUGUg4rOt6CJ/32dfOPLZOiBdqtyaU6IeB8U3OcjtJKroz7Tqg8cbdcGYBeuwN542PT4GPjRexKNwUwBMy0ozQuEgo7xOsVElirp7VZBKKN9JSmaZep+ooeQorDK6aGzRnHBRzPKXUjNIMjl3mE80Zid2PToU0/6nJj77t1fw5a0dEJ6jWUYCQ70n5Vo5iORz/nuqnC2gaIFRAUqagJomarnUqNycxvGE4blFBIqweXdLDoXxxoDPcAlBpc/aXSami0Jp5mj25KTRaGRxRs9WVW/v9KUAUE6YVAltJTddIkd8BT5b4TAaBVmD2Shapq2WH6QsnUYJTyvgWQt2H0b9PqNx9zut0W74JOyMpo5MzT8CKKr4BJUMtQaXKrsCVQtMFJBMd6oqEgAkBXgU2wxzlsnjaRCZWv9snOVKopTAUkLNg5iHnFSBDS4So3Zh7dNDMeC/X8LAi2vh8PRtJj/iJk/Su5K2pR8WOCoFFJkfxgSx5o1l/33a920H39P8k8lDQDXM/OQ9yWQJEKkCZNwSMyv5QDqLvks34LyanVBj/BKsi8lYonElv4sXI/iU8poAUKqCAkA5YfKFxIKF4SOVX2wFwrbOlm07bcealLKlLOBpKwvK0H74RNzzVlPUeH8QFu08YIaRa1C8tBCZH2btHAEKTQ+PpoiCV5u1jHlcpo/uVFVkAYXiyftKi0p5NH0IKAIVRcSPZWIIUQhDfG5FkWNxkNH6w9uB0Kht+OzeTmh/0RtYMXwh3BjNHb8jJe+d+IByLLBUAIo9Zs/136dIz6reHJk4HrUUXsX3K23F05yhXJj3OwwvVYgYyy2sm3GoBLe0GYbbO36CCVsLLVATzLNehMpeSbn2FQDKiVIAKCdEtrX0hePoltUXALvvayWewIEp5f5MM6ZkSzSJfpO/xCO1WuDJBm3wycKVNCds4CAFVjICo6hpKcWEpcmj7lFpOiYvgQmFnsIvEKgqUsnl8NWUwbiXQkIApoDVGYf3dxBLRxFi6059xYzoTfKhnFICx36+gg0edvVfhk53N8HwFsOxb3MxBdfme/RYE+tT0VgSH0zE/ns0+4Yr3qee0H/rmpfkmG5tgYkmISq6XIzgEKYyV4i0U0DtKWp6xlZHHLw98ktcUqcX2n2+HLtTOYQ18zob5a1KA0CpIgoA5YToGEA5RgDUSyKzRKNfRbLb42n5JewAK/XoKKrYJ8s24enG7+GBNxuj34Rp2B8mcPCYFqFSKAGJkce81Bskv4u0FQGU7q6jJjK8BNCYW0o9cbJ5K1SA1VQSvK/MC41EVY+IYtUmqXYo8ormKkscUwnqDUUsQwmBcFUIA+sNQMvXu+LLGZup3fDN8JBAT1HwtSSIwCWtJT5SBEnTdcuTmLcx7cgGes1vvVs9m9XuqIwxH+bHvKShaVkM4+8hoJjo/gQVeYozXpnp7dEI2YNeFqM3HcA1dbvikfbDMGVHAQp4vaslQ1LFNI/4FOXfqTISePtLmwb0zRQAygmRKlc+oFj2gxZ51CocVwCgUZ1ZxChVmkei2fLSTtiYYyIr+audBuGuVxuiw+BPsKNER9QrkjHr81q9xv4vkDHT98mCFAmXVH85KJnKoypH1VV4m7+9nwlpQDYLi1NrkmDpuPp8/CUp1BmVk0OH8pw65GL6qEWo8/b76DNoJg6UuTaQNQ+n1CtjQEW9MwSmJGFJ3dEGPCoApQJgKgcUpeoNafawWKEuswQoRe4vH7Fj3o1MRml76500Xuk1GlfW7Ih2077CLnOG5vKUkDXATTla0nIbesZ89qgNKT2gb6YAUE6IJLxfBxQtVZHSUHppKNRKVOkjKRehFFt0SoPxnZBXljqoP2girn2xIWp3GYjlew4ZWJDQJJ04nKTUd11t2mpzTKaSWOBiQjjquHpgaIbY+1cdGdDgI0oTkFAqtpLkKWeG5FshkwZlIsjLNNPJKiTlORuhKbe2CI3aDMNbbYZg5trdZqCZ6XjmeUlpavJhEKQUnjLtOtQA1I2bDyp6drGeywKKXyYfUNQZ7fLcNLWlrEdgJYCbGLYsiFjmoZy1ejt7ecGA+etwU6MeeGHARKyIy6xknmlNWxAAVYCFtBEBiFj7ApIATL6bAkA5DhJ8GDpqR5XsaEBJuQlqJhpcRY3EkWmQNcGNigkoJWyd5Ww9yEv6TFuKW2u2xVPNe2Lqqq1G4NQGp+ULoAquWB9m3WEKrQBEQqFqLzbAQ+Ey8VMUcY1sBLGqiI8m4CBOGEDR/RTQ2QIKWY/N9LQBFBdm9T2lyflq7B+CZiSLjiOn4+Y67dF+7HQTRLv8EOJ8DwktscF9sZYsTbuEmzxAscuiHg0ouif/HQEVaWiCi4zm8UjL0WJjfNcql0w0dXmLZbaV8vK1JXE81W04rmvWD6M3Wse3uuDtt6sggYeAJE3QCzST708BoBwHsf5a1n+GtKOKdoyGUu7rkMOwNJZAlFqKxooUpDwcpiAd9HKYum4ngaQ77m/YCSMXrjE9Pab15rUZj5qJoqh56h6WM5SaDo9JGNVjIavCAArvr9UAzcJcnubMKPVI4U6MmI3irWpxcv478nQ+oPi3Ue9KjIKroe5pLaSlLh+FmOPJKueI1ZtxTdP38Fin3lhVFDagKZ9GhOgTJ8vxK99SIqleq3ItqxxULJgcAyjl5IOKwi1Jz8jJk0NTJ6tRs8xX85zizEMdxAoklTKxUqyp2XrSfFxUpxsajJqOg47yFvFdlu/5ZLQhPrBY+wF9NwWAchx0pBIfqVtqLeVPOBpQ1AOjQVZa/iLqsQXnhUXpLA5TMjWnbvHeIrz9Xh/c8UYTdB43EzsSjgUKZiwgUtAgLxUyA9g06U3zVfyGXyNiqakbjeUvASiGeT//ufWoPqDoTjQqWHZFjKXoOhTgEAU4wtKxKHqmxUkHTw4ejWsatsBHC5ahkAIfZn6KkSuQ1ftJCASoQdj3qBtUgAlhits8QNFNy8l2xUuTIQDnbAgIaScuy2xdOXpvLI+6kgU2PFugPXFbAe5oOwj3Nu+FpXtKDDiLKgMP7Qdg8v0pAJTjoO8GFFv5KYJm7kqI9ryEqpS6udaykd9kc8RB62Gf4YrHX0HdHgOx8VCJOSdU3mLrT6M2026EwpGguq3RoBpzYU0FteHqJdLd1KaaaGuy/8Vq2ZlWJcRszJo4Yu2Xsw8yRtB4GuGPuoF6exwkEzTzwkkTUlEFDVFjUQDttktW4IbGbVCr9xBsKo2b91DCdxJmHlrsPUIzpeJ59D71Do8FFL3jrwOKQS6NqstRQ1G3tvHlSDuyi4EpAJUi7muIvZzJcgzvcHJoOGYqrn+nNfpP+woHHD0F70Aw8WjiCJSOBZFAU/l+FADKcZDq0rGAYiq5qY5WCEzEU1Z0LV1RmnLNHJ0CAoVGwu5gxe03bRFuebUBHqzTHLPWbTKiopAF4RQrP881cT5k9sjJSMFKukmj7Vi48nUge1d7f/4SqBjtROWoKmLeAkoDlvaB9fwZSqtYTlmRZtREcklEsnGaLQrHSB3A5TmJLELJjAmiPeFwIZ7vNQT31WmNSSt24DCv1bylUmZYRg1F/iX1JEmgM+Waig8oPuc/tUh3N4Binlt6h++dYR76ZUwxmT58d+Yc5sN9hyAnAP9s3WY81qInnu8wEPP2lhig1ncToHhsCPK7iLXV7/y0gCqnAFCOg1SXJEcUJz+FbMFErJZVGkaagpFg5VPcjWLWeQX2OUAetWg17qrRDNe+UBsDZy02Tlp1xYYphEmCirpUozQRYinH3MMAk0NAoZAZ2KKgaUyLNCB7b20lbOQ8wa8aUgnK8zbPyLz5T2EhxT52qW0PE0xKaHZF3Si1FwIhnysVTbLsWezneRsIGJ2/+BI3v/ou2gz7HJtCMePL0CqIIb5Ura9sRJ7npanZ2eeq0FIqAEWsZxTzHL5vC6bUPgyY6Dx1dRNijgCKBgaWX5t1kWLZBNw7WL5mH03GJS81Q/8lOzV0xjyxYgZruVK/hycfVAIw+W4KAOU4SPXJsKnQJoXsV3QJu+CE7SQrrKKc+d3D8pt8sX4HHnv3PVz8xzfQfOQEbGXrrVYxnIggqqhh3JcghJ2UWf0vKUcuNZwYW8s0hcKYAfKXZDRJj8JjzBsrdCaUAe9dtdVdICa/g50MqN4UaSVZ2luU33IM08CyDMoyMRxOl6I0G6aJkUDSiSAZjVAgNVcpZ97BtM378FTTnnimeQ9M27gDhXxgLXSusCrSGDQXKSUhpjDb9yrgrAxQ/DelAsiUIRMoBLRGw+B7N2NdeJW6uvUe/aVDFLfXS0fhKMYLcxi9dBPOfqUd3hq1BGsj6mYuJ17n9/BoG9D3pwBQ/kSyLZYqtwUTVXSjVXBPPg45TyUoUu1XHC5FjW4DcfGTb+Dt3kOwPJJUMHi27A7i8SI48RLmpUpvwzrKiVvmplEUT5glLOSUNdHIqAnI+WocsLxWQiUwkVCrt0SlqRoSZMr3EOXThXmXBFt5mgIUrgy1jiylX1HbBC6aD1PsxXAwU4rCXBlNvBDNtzI4BMqs5hqlWD7muL00gU4fz8L9tduj67iZ2BhOmDAC0lTUdRtVzwyZGFVOVkP6ZkDR2Bs5Ywnb0ooIHC6TidPGT6IrzFnMMEFgcwXGWtGdoOc5grEcFu0rwX3vf4ab23+CMWv2Gy2Jr9GQ/CXHAkqgoXw3BYDyJ9LRgGJBRb9tVSeQ8JDAZC+33SbOxg0v18czbXpi5p79ZoTswWwSITeEtFPCCl5qxmCohdYoWg3L18JcApUYK7V8KFLpc1kKkFl3hyKo2CQUcplBGuei1lilqRqygOIJUHJhtvgJMjUlAQqlNctC5hK8Hx806Xo0d2I4RCA5nC1FQbqYWkmZiZGbilF4k+oGJ7hSsKet3YUH63TA060+wNSte4yZoZnWpreHzyrBt88gwdW+nttnvVmf9b4V8pHvQkPnBSieup91H5h3yJ/GPBXIJAhUjkbRCrpyhDBXs5HT2BH38N6CnTivZg+0+nQBDvHCuFuh6Rl/Cr+JSN9bACOg+TrZ8tr3ZiHPz+N0o9MAUPRpv/vzfp+zMqyh/gQ8CyisRLLhJVmyA6gtJFkB5TtRy7udzeTQZZtxT5PuuL9xN4xZsdHM3zlEMCh0i5DQpDRNZvPsoC4Bim8uycUoYNJYFo24NUJFtUAjOs2oTnM/mVlS8VnZVR6eXzWkvARWNHfIHu8lP4QcxvKf5Hzm82kkcIzCGuJ5IQp3GcEuTk1KUw9SCS3ARXOE56lsu8riaPjBGFz1Wht0nrnSLFRWRHnVjOZEWpHrrOliJz5asNS0BUGLxFyQabUVsQBFgaZkAvJ8ApZ6d+z8J34rMl+J2ToEKkdzqvRWeY3m7aQSBHR+vjmHHNzdrC+e7jgEUzcdRDEvEISoR8iElpSGorwE2smkMeP4Mw/eWDajPWqWs+Y7aeSuBZXTkao5oOjT69OyIkrgyvlYMmepEnz90FGkFlqAoWjr1mfBiuyxIqWoQmswGoUo4jg0ATLYz8w+3nAA97Ubhqsb9ETnGauxLc3WnFWwzC1Ewt1PgBLsSNGWAFlwUGlVUVWptTWjYU0JxUr1BUpHbYGrvkVUbspV92PZeC+/FOWv88hN7VkGfiwTDPh2zAkGcNWi6ySSepMnfLUd19bsiWcHzsXicJbvSk+ieU8aQ0KQUO9WxjG9XHJua+VDAxAmRwmvfB2C2nJHjjliyS91+e2OkMtv5mjtHXM+QduJkeUbAnZH0ug8ZiZur/semo2dq1U/TO4ZgRu/tyk+QSYrUCKgaGF2vRXdXWamicdCEFVMlRRN0RjrgMYTVZTq9KIAUMrp+wCKNBT1yBSUlpqeF+XrpSJIJ0rZClPLoOqd8NLG1JmyZR8e7zgUl9bpgbqfLcGiMgcKF1LE1jHuEExSe3m5vAfHVv8K+npxlJLPf26qwnsxC+WypSSFZ3t8jmtbjsXAFXuNU9aMNaGGY5fB0CA0Cju1Pk2odPh6BCj2bQvEJcrS3wTEenffXTaZKg6BvhwSkSK4aFKiyKE5NHfNNtxVrxMe6jIKC0ptUCuNZ8lQ+zIjhWk3aVlWYwIRXHRn5SaXtSLauV4ZNcwiakEhRAiEMu+kGZ2OdBoAiuXvAhQlf8MhQzqkVidEQDlYXMxKxNaOLXA6xdYuFeVv14z41IiIVUUhvNX3U5z3fGO81Gci5hSnjBO2gC1emOe7bjE85xBbPbltTxMqx80SvrZec7bh8joD8NaAz7GXwqruXRo9fJ/yidBMokloF3uXBlABKNJ8jgaUb/lgeSQ/SErR+qVulP8WyPi0rzSMN7uPwNX1e6PPgi2mV0pnCjw82lEKgJ12pUVaoNCdTS8SS5UmoGSymnMVpgYbN+abuqW/q3GqrhQ4Zb+FLMjYdk0VTP6NGFstDVpTaAKZOJoyr+UcpOaWsY7ujOXQcfwcXPlGSzzUog8+XrbDTASULhLhOYow5lFgUk6YldC2kqcF6V1yIyiYvy+B+5sNwF2NumPK9sPYSy0gQSjOZORTClMYKaQEawmvQFyiL3ChfsDvIIPk+ADF77Hxx5Xod/4YE/Ws9Z32Fa6u1RWv9v4UW6MG3oxPJkNTJ8OGQmEbMiyQ0mR0afyNZgply3/ZsTDyqFiz9XSlAFB8Ut0qr58WSHwWoNg/6zC1FVxLNmQyakUJMPwt1mp1Q+euxm21OuLGmh3Qe/oK7IpSc6H67BCA1AEqp11cMUAISooHcjqRAWXyAcpfmxFTcePbbdB4zAyspQagDmrXKzUtvSK4GR8V37UE1Pho+Fujcn1Asf4QnvA9Sc5VsfmeZAGKqzE+BBrltPhAGR5vPwy31O6IiWt3oVA+ExY47arhsGVJJFM0a+Tx0d0FJgIRCyTHU5bqTAGgmIpAVo0Rc9+vdD7bdlI9DhmCihyFrGzULgQMmtwmMFEX6Oy9RXiydT9c93prtP14NtYWKZQzQSStpS+s0zZJICpJOmYGstT404mkcQiU1frP27Qbj7foi5ub9Mbkw1FjZrg0GTyagZpyYAGF759/MnTU20PdzgCKBtx9X0CRNnL0t7SkdNdxzMhZgdxBHuo4aRFurtkOzUd8ji1xfiOmaXF13UaaSjzhGEBRw0A44v8qh6ZFptlQ2DKqh0q9fd+nbNWRTktAqahcajPLWT0S38iqQnaimkItymyJUeMoiMdRyBZMU/JXheKoP3oGrqrxHmr3m4AV+yM0cZSzwyxCrGMh010Zd5Mo9tJmhUB1D59O1U5mg9bQkcZRzPfWbMRMnPtWd7Sfvws7qbXIpPHMALSjQUBsenh43IzaVVcxvwM/jM34W8hoIHn+knxSL460FhlPcg5P3XYAz3UcjIdb9MLcfcUmfkrSoRnDb5VKUZshqGgkrsqvctjphzTWaO6YpWFZJzShUzPETb05Dek0BhRVWn30YwGlvIU5itkaCVSyrMhkjRqNsAIdZOtWwmq103HRbeZSXNeoBx7p+jE+33TQaC2mbVXXcJb6C9V5jdAUoJRQwzlMlVurBZ4ugKJh+x7BRP4IM26EaR+v3Iurm4zGQz1nYHEJtROmpfgNjBdC2zxgsVqiNBcBSsqYRXrD30XHAoqvseST7qtGYUfSRYfx83DNW23QY8YK7InTyPLYlCh0Z1Q9TywLz5OnhDoq96PcJhBjecr4TPFMis8YNWEnqnTm9ylEpzGgqMKqkpazARMxK8I3sJkez8qitX7DbLWkpu+ikAxevhkPtR+EB9oNwYCvtmMPayiv4PmshKkiXlrMW4SRciIoS0ircVHE1k4jXE+XKidtIE0AJqKQNcgsh5UlLl4bsRQX1+2HYWt2opCvP8z0jAFwq4UIXqybU2Iv34qmBNgBcHzDyvpbSRqIQESk7y7fybFmkCLRmdHJPGfsml24tV43PPPecCzfL0OWIEdAiURp2ngqtUojSJHpJRCUaeShjOWxgBLh99aI3O/vNK5OdBoCij5yeQU1QKEtWcM5zZBOn1WBVWl91nkOvFQZIvFShNlaCVA+3bIf93YahZua9EffL7dga8KaQKxarFxhuNHDyDjFbN0SiDpxHAyFcDgWP+18KDkCieckiAkOOWlG/x7iZ/hg+S5cUqc76o6dj4Wlrhmr42ikLQFYY1HkjFWPj0xO9abI7NSb+759KQIMnwQkAhQfZHzWeBfFT5FvZ2lBBK/2Go/r3uqI8cu2mLtoPpCjsSimt0f3VlmoKRFMaAgRULJm1nSC5fXcELJkO4MyAJTTgI4FlHI2YGLTjH1+VAtor8lm4nCdEiRTMWPSLNx7GM988Cl+9+b7eHnwbKwJ2zGcarsSBJAkwceNFcNNhJBwEyhzHBQlEgglUyaeqlTo04b4frN8b5lkmICi4fw2tu7kAyW4u/1g3N5+OAZvKcABpsUzPC9dSuHVpEQBijQDCbIcodp+f0ARfROQ2JGwPMbvoPgpCiS5M5VBr1mbcP2bHdBi8ETsKi4lZLBJ4aeysVqkedjeHY9HpGtpMmeY1yc1wjcAlNONLDgcARSzZUXJaKg1K4EBFGsOmUrHyuJXCy1SnqGNLKjZGo6h6fCJuOiNtrjrvY8xdH0h9vCAWjkNeHK8OJIOzRwKkSLYh5MJhGnLyxErIUlS/VcFPz2Ib1DO1lQEXryYr1imgjwQwFfhBBqOm4dLGvRB/SkrsTlNMKYmmCEYy8Q0IQmycoaagf0G7K2GIP3u+wms3rN6c/LftzF3+H1FRgvhfeRiVaiJGbtjeKnTSDxcvwvGLVptAEXnWBPZdlvL1JGOou+tgXkx1iFHEfYUutMNTJ5qSfqcgoMKSBBxXxXDsDQRCyoe1fBEPExQsRVBlc9JuXCo5sqzb1so01aZWcC9J8/BDW+3xF1NeqHv4q1Yk8yaRbhDau3YkrkKikytJOGlEEu7iLGF1NwP6xPIUDuRn0AV9HSodHxmxXRNUutwNNaEmp4RYGAfTb+xuwpxXeuRuKXTREzcVmQE1XNC/DRygmfN2kbqojeR62hWaOXCci+VMv9OEnjoe+abP/mkVOk+0lDkR9mczOGDaStw02ut0HrEF6YHyHwpNTxmekCU35ImLH/L96LR0WZtIDdGi07xfZUiwDv9qNoDipRlcQVx/xhAUavnsRIkNTtWNjJP8VjRHQJHUgOciCYJzYcnaT2ZacvX4qkW3XFLzXbo8vlCbI5nTIhH+QSKeZ5WB1TPgtadiRCEtOSlZsHKwlEPhx3lacGJKeTqTgQUtt6ZZDEVlVK+6wpAkQCv5St545OVOKfOcLSZuNKkZwgm2RSBg+CcJKBoXSNpEQKUTFoBqSW0VfPulIvKk2BNifCHvuOiA2W4t25nPNb8Qyw/HDJfTHXGhEvIhmnexFBGM65MgMccWDI2StJQCEumUbLaz+lGAaAIUIy2IGCxrZjAxCWIaLi3LOE4QSJCVru4ctc+NOg+GI836ozWo6biq4NlxjmrCYGaOVtmACVjgEdzewQmcsBq1qxZHMv4ak4/QLEmTwgZp4xgIJPBRqZXr84enjF0cxRXvjsCT3cZiy1ldj6M51CrUVwVj4CiXjGeq9GpacWPoflUVUKrL6CxRXF+fy3vUcrPcoDfrNYHY3D1q+3xweTFBmjMuTmWKRuhFhpHCb9lCQHPUT0S5KgeKTYLG5Fv0oaqO1V7H4o+69Efl/tUTy1bQDEO2fLKKUepFh5XsB+t7SIQMUtXcLs9nES3z+bi4brtCSofYcGWfWYJGlV0rUCn4D5xZhtJZ0009zCBJU5gShFkFEvEApbsfwEYT6wigTj5qfydswXPEgjkG9H6zIr3GuUxxYhZxRf9RNdRuL5GF4xZtgMFbs74nrxEGd+fuuk1idB213qpEnjyU1QhoGiUa4L1QBH4tW6QtKQhX67HNW90xCvtB2FXWdLAv0wZgUqS4FFCECrlNQlqX3ahNYIm647tDVKupx+dFk7ZygGlHEzEqio8R9PV7ZR5VnRWiggBwTpZgULuD/tyNR5v+SFe7TgYkxevQdhJm/EQSarfaYKEmdrOrMMElAKaO6W8RutI2SjxapMFJmJVSgnD6VLp9M4Jph7fZJqmirqDKYRJ/paZIe1OvTsdP/8S177ZHjX7T8S6sNY0opkTLUDcCaGMrX6EpoSnQEbpUPlM7aoDFHm2EpkUYq7AThppFssK4nihy0jcU6M9pn61iYBjv5m6rgUvGqBYRs0roSVPaMoJVNRzpLWbA0A5LUgfmZWCldsHE19TEJg4KQ2rl1INY6aEWanMPB1WjtmbduGV9wbinoY98OGs1Tic0FlUdF314pRSs9GC32ydmLUqYxEBJcQfWnQqw63GYVjXn8ZRWDPsdKpyii/iGScrTYOc4pGEaRZGkaT5F+IxjT+ZtasAf2w/BLc26I1JW8sIItRSYsWIxEsQlvZAQEl58lEQTIxjtqoARd+DDQPzdqhFqWepNJnGPn7LvrNW4uF6XdCm/2gcCMfMN9M6SQIU+VAiGc3vCREni5ARsPBZtBKiegdPRzptNBTL1uw4AijGEy8wkYdeldXO0FBVjaiVYp1Q67l4+wHU7zkct73ZAnUHTsCyQi1rJaJGQxXeSRTBVaVShec1UpnjBCaZTJruLrAygFI+ZFwtoPwzVSMOpwap69dR2AdqalmaDGmP70sxRHIJAnASRV4ah9wsOnw2H5e+1R2txi/H/oRLTYRaTCrO9yrNkexKC/B7UapKaGmWEkiSBhAsUMXdjPGNfVUQQc33R+Dhd1pi4Zb9xhTSXGctEB+ituVQQ/EyEaSdYlMXFGVOEwVPp2+bT6cpoLAy+qYOK4dimzjUKCTkio2hdWKMZsJjy/YXot3QSbj9laZ4oW1fTNq4B/tYjzWGQnN6tA6xmyyG45RQu2HlZ/4az6kKpdw1rFtxaE3vEVtn+Q4041ZBpXX8dCG927j8UgRvT47NnEbCSrMLIeFFENIC8zxvyrZDuKvNp7in+TAs2nnYQIaWJxFJq0sTYBSDpmq73AlUToSNivqcpEUJ9G0MmwJue0+cj+ufrY8e477Ebpq5grOQl6LJS0CkCabo+x4bFCfNhkYarr63sj0N6bQxeSoApRxM8gBFAq8Kr8hgCkcQ4XkClM1lEXQfNw2P1uuIxxt0wZA5K7Ej7ZkuYg29N+MlWKFcp8xwmmZPwotTU6Fo8D7yr2gQm9hMvxfYcGsWCCefLoAisVe/VozvLEpNxOU7k7hmvEKk3UN8b6VIpDX6OIuNyQzqfboaF7/WGX2nrUaxOk9MHjJPNQZFmqRm/kpDqSrSsHqWR7PCs1GWKWGc6Ip9I5D7Yu12PFinC55t3R/zdx8yfrVSglqYjYjCPwpQMjlqUfKn8LvGqZHSWjst6TTyoegLl+sNxwCKUvVLY0UUsV4t06Gkh3FL1uGFFt3xYK026DlxLraVJYxmEuZ5WvpBq9OZys2WKZvWejkhAkshsm4Jb6X4J0kq5hqgbQHEtF5kicLpAiY+CVAE1GU0eyygUAjdA0jFt1OQD8LNRBEl4MqXMmztAVxbuyfe7P05Fu2Nml421y2FlyqkoCap6VjztOqIX4RAkiOweelSJJMRAgW/G++ru2wOxdFk6Czc8GY7fDhnBQ4xsYzAFk/L1C2g9mnCQxF8sgY05cxPc3s60mkEKIKNygFF/6sl8hfnkuI7Z9N+1O0+Eo817IzWIyZgZXFZuf1sR0ZKgxG4xDPUUvgnfUWRzzMp6i8ZzVKN8m4O89aAcXudukjVxXw6VjW5sNmWUxAleoIXvptMAdLOTmoDh5iSJJDnTKCq+WVhvDV4Bu54dwh6ztqGfTw96dKsTB4kiGuEqvV1VR2pBsh0iVC7jCDpJQj86qK2R+RLGbPmoJmF/EbvMZh/oMyMn3GyJWxMDtFso7nE59IEQzU0GjMTAEq1JH1Uv1pILxBbMPFtcJ1hBJ470jwEJtvCKXQYNQO3v9UBb/b8GNP3FWA309V6arU7VTBtDzJrLakpYIlQ8yiORxClpqJZHnHeUwBiNBqyxlroegmMwMgHJm1PB9Y7U9ewgnXrHau/JEpwiFEr4FvjcTuPRougraZg9llZgCvrDsLL/edhSaGHMpqRZakwirKeOU95VHafP4X1HWLMV/NxNJ9HYGEaC7K2+mZzi5J4oec43FK7M/rNWm7SnFyYplcRNRmaupk0zTmBipzx6jM6PakaA4oFEw0ky2hxLNq3R0aoyr9hehtyVL+tI9avOJto1vSbugz31e+JOxv0Q9c5O7CMWa0icCxh7VvOWraCrO1SXrSMastq7q/m/vKSDNZGsljP89YybY3SyavIy5i2VNeTla7jpxPrnS0ufwcrub+a720NeW0iw3eUxQruLys/Zz4/0Yh9wO0dp+K6Zp+ix/x9WMX3uyqSwyoe/4rnruBvXb+K9uk6XreeqKD76DusZNoqovgGponNfXjsm1jXr1U+vHYj9zfwHtpu5HXry/OaxRah88ztuL1ud9TrNxabSmiKseFIejSPstSv0inEUkm4rFtm6VhT/9iUSYMl0GiiqaZjyJcn0lbp/u/qQtUcUDRlXYszae5HwnQ3ZrzywD0EFI8fM5HJIuRmUcrTD3g5fL52H55s1h9nPdYQdzcfgaZTtqLr0oNoN38PWszciVYzdqI1udXM3eW8i7wDrcltZ2wnb0ObmVv5exvPY/oMHd+FlrN2ogVZW6VZtnlZtmnK3+fjTTve/Co7Lz/t2/KrSMvP/5vTWvHd6fnF2rfvRu9pSzlvR0u+zxaz9qHN/ENoOG0/bmk/Fb94oQfu7jgJbWftRuvpO9B+9n60mMbzyG1m7EGraUrbg7a8tiX3dc822p+6He1m7THcitfZsvjPUME2bQfaTd+GDtO34D1+v878XoZ5zXtTt6Ht51vR5vNtaD52NW6v/T6eat4L09btoJbEhijjGqe7llXRZNAMNam0RgRnpfeyBhI0NNM5fysWuChIdgAopxBpOUwFh1bgY0VPS7taMS7Kj64oFtY5msjkUOpmUEQw2RHPYOT8TXiscW/84clGuOKtrril6WBc37g/Lq/bG1fU/QBX1++La+r1xdX1+nPbn7/74SqmKf3a+krrZ/avrt/HbnUO+ary88y55WlX61yTl7bHnvddaTav/DSb17H5ff08P62y8/LTvi2/irT85zqeNDH3zXvqY9+bzqv/IW58dwhuaTYS573WA//1cDOc++r7uKnJR7iiNt993QHkgXzXg3BDY36bRoNwY+NBPNYbl7zTk99qMO5oNYrpA3Flnb40m/rk3bf8GfLYL5u+6bX1+uB6vqcbG36ImxsOwE0N+uOGun1xfa3euKFGD9z8Tmdc+nR9M49r/JK1KCEWyG8i6FDXtkAk48YRixQTLKjmSE/R8XLwkLaibSQSQTweN1pLdaNqDSjSRNJenC1H+eJRXpKtRNyEFlCXruxcKidmpTetc3vQyWD+1oP4cOpStB09Dc1GTUX94ZPxzqDP8OaAsagzaDwaD5mAxoPFE/N4AhodSZvE/YnmdyNz7tHnVXZt/u9GQ8S69rvSbP75aZXlX9l5flpl5+WnfVt+f0papfmVs97bu9w2GDgBDQdNRqsR09Fs2BQ0GTIZLbQ/YhrqDeCxgRPRZPBkNBk6BY3JjYZ8gabDJqPBgHGo238smg//Am0+nsU8v0DdDz9jfvab5ZfFv6e9r+X65DosWx2+p7pDJ6E+ud6QSajL9Hr8/vX5/Rv0H41mgz9B3ylzsXTPgSN+nLjGMBEsDIBo1no8BDeVYENmTRwBSTKZPLIvMEkk5ASuXtqJqFqbPOoQVhT1hEMtRVoJNRYNjJL/JJ/MrGKyHLMKP3AglcU+ai17vAy2pz1sctPYzJZlHytOCX+Xchtw1XMZucBJ42BC79gzEyxL+N4N81uUlTvAJcQxskYxa2aw9v00LaZW7HrYH0vjMPOq7D7Hsr7pAW538bqd3N/BfY032s6tWL936jh5D82VfSxLoYYXlGsoYS3HYQDlm0mA4vtMfGARVzeq1hqK5mSkMrRtNVaEIJJMKeiROoiPJo8f1iVLddVRse3YtJVULZHGplS/z3/ykway2d65Py9JV9D39nve4mR9+2NZx1QXSmmumLlevDCp+kMg0wDJbyKBh7QSgYpIoBL4UE4x0ryKpEZmsrpoQFlCYQC5PXjoIMZ8PAoD+vXF5o3r+XUJJm6K2gy3BCGFL0gKgJiu7t8If5uJaazcJqao4oUG/OfhDE0Dj+Jcvk3GSpFy4nASZVi7agkmTxiDkUP7Y+iA3uRe+GhQH4wY0h8jhw3A1M/HYce29dAC9tDgOZq5mtlsJhJWdq8jzDrC76sBc7FsGjHWmai+OYU/RCAoY50RgJRR+DUEIKR9ajAaBClAkWN/2eo1GDxsKD78sD8GDxqEIUOGYMyYTzB9+nRs27bN1EffMauF230HbQAopxAJUOL8aIrjqrEBahs0wnLs+HE468zf4//+6z+hf++eyLgK5EPWHBE5cj2Bixy3mhnM3z5r6Hc2znPYVpmuaHLGzn49sTQJUF6aGWX7XWk2r/w05KXlvk+auf+Jpun+356m8sFs9eyWzTFyxXk8hwCQdaNIJ0q4peh6Gn1MI4cgv2/3JjRrXAu3XHcJLr/g97j0D7/BRWf9Epf84be44vwzcdVFZ+O5Jx/EpHEjkYwW8hqWo3xJi4p72WcwZSzf99M8ls/VvCyzTZIp+AQYLd6liZ5au5pnGxNHw+s1LN9oMzTDCiMxtH6vE845/3ycd/55uOiii3A+92+88UY8+uijaNeuHTZv3my0FIFIKBRCNMpnq2ZgIqregMIPpnkVqgj+hK0du/fg3aZN8G//+s/4mx/9CA1r10DBvt2szGyp1JqRcxl1LatVUyWnIORUdTSPRIs9yTsfM13QcvQqEn6WQnFiadrmpemc70wrz+tE0sz9TzRN2++Rxq0BQaX7x8xxf2vz12RLj2CS9QgE5nx5TYBVKxfh9luuxZm/+W/cfevVePmZh/HiUw8QRMiPP4A/Pnw3GtZ5A/NmT6aGQjDit0olS8wcKwFc/j3sEAJ17dqtAVsNvc+EyeX31XlsXMyyqGpaKPsyvkwDJROH++Z3Ooud+w/j2ZdfwX/893/j9jtux1PPPI0nnngCjz32GK666iqcd955qF+/PvbsUWw61kVqJ/KpCGACDeUUImkkalm0TKRviU+cPAX3PXAfLr/sIpz1u1/i1eeexuqvFvEIz6CKnWMLqa0BE1UuL2S2yLFCMi3NipYm6LgEoLRh5wj/0GluXpo95y+Rpvt/v7TKuOJ5lDe3NEGsNsgtOS0Q4NeZPG0Kzj3/XNx083UYPLgfViydjyWL52LBlzPx5bxZmDVjMhYvmktzdh8BIE2Nw0E8GUFSgaOVzzH3sqx5RbyXARl+Y6/UMoFFc7FMQ8LzZOaaiZ7UVJLpNDUXTbfgaeSEm8GyVetw5/0P4LKrr8LwkSOwYNFCzJs3D1OmTEGLFi1wzjnn4KyzzsKIESMQizFfkrqMA0A5xUgfXOpqKOXauSRRqqbt2+PSyy/Fyy89h6svvxiPP3AvFs6ZwaOsOGzZMolSggorlForgknW5e80WzlWOM0sdlgBE2y1Aj5+TvqcVcxYbTNM99k/T8GLKLiG7ZwdmRj9PxqBX519Lp6iJrBm0yaaDmnEkg7C8RhijkNOIpZyjPagSZvqytXqA/KD6Z5HlUOxWQQOZK3HY2KaePzebhHbFZpL6RLzzaUlKTKcWa+Y5rBHE0gBlOR89R30ApfJ02bg0iuvxIOPPoK9+/chnaaplGRdYbm2b9+ORo0a4fe//z1ef/11Y/r4FJg8pxipRYmxYsX40VWJlq9Zg4ceexRXXH0lRgwfijtuuYHq843lgJImgFDV1TIIUrlTpcho1rA0FLLiXbjUXFQ5qUAHfAIsIbZsu+rl2PSPRfmdFPFOaZq5q4agOJlC+x598MtzLsQ7DZtiT4FmUvGzkH3BlhYjLVTGqa6NMg/lbfwe5Xn7rKkW8n2IqZMSUDReSd+cYEJA0dKxOX77nAk1qYGQMtdo8hJUdCcNSFD4BAGCRsiOHD0KZ5x1Jl565SVz7FiSY1b+lNtuuw0LFy4sT7VaSqChnESkj1HZB1Ga5umk+NETmi7PtLJEFB8OGYTLrrgcL7z4IrZs3oRXX3gOt1x/Db6YNJ5nqEqmWUMdstYkDiOdYisls4c2tkbbKs6JYqA4rDRqOf1t/n5VpGn7l0jT9i+Rpu2x+0eYn09R7vxrpTVo1QBFvTeR7/lVdh06jPpNW+KM8y5Gu67dURSxfhWBib6aSOcpsLh6XJSnccST8+/r38PcL+++aTYSnvwmbhkzkjYaYuNCE0hpNHOtP02D1DSwQPN0ssYPorixbtpB+45t8atf/4KaSH0eZ6bH0MaNG/HHP/4RF198MaZOnWrSVEcDk+ckIn0Iecz94csGRMr3tTVjS6iiKuSgqsD2vTvx2tuv4+JLLkL//h8iVFaGzh060Oy5DH179zTX2cqgasrWRzZ3Oo6UVgtkRZJzzo6uVW9R1vxp3+dvS9M2P/3Plaa//PSqThPrT8dOJO1Yzv+TOeFJ2KjB+Ks2rlm/Fs+/9BLOu/BCDBo6lKaO9A5poB6/DyGe30Wagvne3NcX1/1c7R/zzSr/k7bBZidL/Ua+M/lOTHeymiKx4Ep1SwBA5n01zEAUj4Xx7LN/xO9/9yv06dOTx3S+NA8f6mC6jZ977jn89re/xbhx40xadQQT0SkLKH4XnK82at/v1xcbW7d8gpaAYsasqbjk8otwxZWXYtmyZXBof7/fpSvOPvNMtG7Vqvw8S6rGaoVc2uAOK6yirdnWUBVA/+vX0fxtacd7/sma5vOJ5nssf+0cgncm4yLjWaFdsmQBHn74AVx22cX4gOC/YcNa7Ni+FZs3r8fKlUvx1VeLmLYGRUWHzBwadflLtzFAYcCg8vtUsG88VZzvA4jd6rtbtsG2WTbWC9GBA3tw/7134rKLz8f4sR8TUNj4aDxLLGIGrol27tyJ559/Hr/+9a8xduxYk+YPxa9udEoCij6EJlwJVEQCFf3O11hsBWDbRFAIhQrx3ntt8Itf/g+efvoJ/tag7Rw6d+rCj/xbNGjY2Ax4E/nVSNVKKnGSKrSJtqZ7mlZHRwVUAf85WGaFfBWad6VQjKJZM77AtVdfjt//9hd46vFH0KBuDdSvWxMNG9RC3dpvoVaNNzFs6ADs2rnFDILTjF9+LZOXTJXK7nM0C3ykyUi7qdCm1HRYriDVL5fmjoBDwLdy+RLcc+etuOeOm/HlnOk8g7mk4qxjJTSLaCqRtmzZgscff9z09kyePNmkBXN5TiIyJk25NuL/9lVIny2g5Mx6xQsXzsYTjz/ID/p7dO/exVwj6tOnP8465zy88U4thKIxU3F8IJEdLrYOQzkIFb5RLR3PMKNlA/5zsWLXWOZv0pjRH+EXP/1P/ORf/gEXnHMGzv79r/Hz//kPnH3Gr6gZnEuwuQw9u3XC4YN7WBes+ZKlySpQyjKfyu6RzwIfEzycDYbv21Hkeo/f3uesmOki9eLol7ShKZPG4waC3bNPPoKNa5eb/AQoaTdptGSRHLG33norrr76asydO9ek+Y1hdaNTVkPxNRHf9PHBRVubppaHQBAtRv/+PXDRhWfjumuvwIgRw7Br1y6sW7cB7Tt2wQUXX44XX38L2/ceOAIkphdAW7LAJMpthJVDy1UGgPJnZvksuDU+Db5rma09unfGzwggt99yPVo3fxfNm76L+nXe4bYh2rVpipbNGmHOrC+QTET4ffTtk0glI/BcDVj7PoCi+LHqXuZ351313TUSVvVBA9rsygUCFf5H8uteMh7BsMEf4vxzz8A7r7+Mw/t2IGviCxPI1MVM7Vh1U34TjZ7VqFmZ2/l11d+vLnTK+lB88udF+KQPqN9uudNs397teO215/Bv//oPuPCCc1C7Vg20atUK9Rs0xoMPP4HfnHEuHn/2RSxds/5IV6JipFR0ZxKUuDUaCiudde9pSH7Ax8fWp1HBlZ3jM4/TVJGgR6lhNnq3Ac4847fo0rkjwmEtbqKGRL0sHr9zHIcO7UWc50lrkAM9SQ0hFgtTk5Cu8V33ounMP5mzAhEBihlWT1YNMkYR96W5Gi2FzH+GwqFSdO3SEb/7zc/RoklDJMIaasAcCIJeWuXLmNgnXbt2xe9+9zszHkUOWh9IBEwBoJxkJFtUoCLSx/F/G7OIH3XK5M+onZyD//VXP8LPfvaf3D8fF1xwIS686FKaOxfiX37y37j1ngcxbd58o5n4GooqVFzgwuqjsQ1iqwYz3/Leg4CPh/Xe9P4qf4cSa7FLIRRbN2oOew4ewAuvvIzfnXEmBgwezLTKSWKp86VpaHZ5gnXA1YjW7/W9NGNLpo79zgISMfUXAyRiq6FwPyPQ0t2AgoJDqF+vjunh6ftBD2pDLB1NJwEbK6M5Z8eOHXjppZcMoAwaNMjM4RH5Pr8AUE4S8j+EwMP3pusjhcPhIxpLcdFhNKVa/Ktf/RT33nsH3mVL17hxQ9Sv34CtXlO8U7M+zr3gUlxx3c34eMIkaiasXLzOHwOhlf80RdCyKqtsa3VHBnz8rHcnULbAfOxx/z07/AbJtP0O0g5WbtiIBx9/Eudfcjk++3yKSReVi+0REtDIxyVWKAHHY3484Zvu9zXm9xXLAe/vW3etzVtgIk4TUASKoj17duGpPz7Jxul8TJyosUxHkyYB9uvXD5dffjnuvPPOowa1qa4G4QtOEtJHyPeh+KqjwEUtgJBftHTpItxDILn0sgsxZeok8wHVXSeOJ1LYtUet3xusrFei3+BhrMj2OjMRjHm6Gm/AP5d2trZGeWblC/hPYQGyfbd2/+jjWm1RnFJXPb+fhFjnTZ8zB7fdfQ9uuOV2zJwzFxFpoGww4k7KDLmPJPgtU5qnQyDhtSmPX4rfTvnoG37T/b4Py2Mmraeit4e/ma6taOPGDbjllptwzbXXYNKUyXAJEtKMDhcWopA8ftw444zVgLYePXrgwIEDpp769VegEgDKSUD5gOKTfgsw/I8k27Vvvz4474Jzcd8D92DLtoo5FPnU8N3m+O0Z56LDe13hlGs6/OSsOKzUObaZOcfM4dECU6wCZNu9GPwd75/tjq3gyv98M0RiliYoDBs+FFdcdQVuvOlGDBjYHzNnTce8ubPw5fy5mM3ttBlfYNHiRSgLl/FbETjU5ZwjqGjuTYZGFPP6tvt915+BD4KIGdBmyqV6Z0FgIe97yaWX4MprrkHPD/pgweKl+HLREoyjtvtBn354+OFH8Lvf/tbM4dm9e7epmz6Ljq3D1YFOWUDxu930UXz2P5RoyZIl1E7uwc9/+TN07NwBhUVazYXmjAEd/9ocWrRqh//6fz/nR3+b2o2dCcojvIe6Hu3ISU2p15R8WdZShNV2WbHQNp9/6LQ/V75//jSrC9itAEHCmyUgtGzZBP/9Xz/B73/7S9x5+0145KH78NijD+CJxx7CIw/fT6G9D/Xr1ca2rZvsl8uyEcjKhybWLGH/e1Xc62jOT9O+ymG3/jGNN/EBxdQNakPxRByjxnyM//nZT/FfP/sZbrnzLjz21LN4/Onn8Ngfn2Ej9hCuv/4GvPzSS5hDLcsnH1BUX6ubdiI6pQFFW5k3+fv+8UmTJuEmtmq33XkrVqxZwYpVbiKZ1sbsUnVOY/CQj3jebahdqx7KytRToOtZgVQZMwIUdQGq+1H+f2tZGzatlV/ZyN+apq2fpu13pOn3n5SmrZ+m7Xek6fdxpWmrNB07jjT9/s40ba3HIiPNwoxByaBD+9a4iFrm1VdcgksvPh+XXkTm9pKLzsPFF/4BVzL9+eeewob1q/XpzHfTUilmQJuASXkbPub+lZVT+2TboNh9W04d94+p7qVRVFxoJgVecdWVUGCly668GudffDkuvOxK1rl78OJLr6B9+w6mYctv6FQ3BSb59bY60SnvlPW1E1H+x9Fw50mTJmLW7Fkmlmxl5HkZ7Ny1GzNnzsLSJV/ldT8zP1PBVBFUmWzlrHDR2YplzjvC35ambX76nytN2/z0qk4TK03HqjpNW5sm8JeAa3/NmpWYNGE8pnw+AZ9++rEJ3Tnm45H4ePQI8kiMZdosmkGlJdJAmYcEP5v/nXz+rvv7+8ey0nXc/83/Wd/Um6jQBIp5Mu6zzzB2/GcEmDEY9fEnmDR5ChYuWmSO54NJPuXX2+pEpyyg/Hkpv0J9E4tOtjR/W9mxkz3N31a2/33pm0DBZ9G3pVVG33YsoGMpAJSAAgqoyigAlIACCqjKKACUgAIKqMooAJSAAgqoyigAlIACCqjKKACUgAIKqMooAJSAAgqoyigAlIACCqjKKACUgAIKqMooAJSAAgqoyigAlIACCqjKKACUgAIKqMooAJSAAgqoyigAlIACCqjKKACUgAIKqMooAJSAAgqoyigAlIACCqjKKACUgAIKqMooAJSAAgqoyigAlIACCqjKKACUgAIKqMooAJSAAgqoyigAlIACCqiKCPj/AQpWRnLZD8edAAAAAElFTkSuQmCC)
It is also called basic proportionality theorem.
In the given triangle, BE ll CD, then by Triangle Proportionality Theorem, which statement is true?
![](data:image/png;base64,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)
It is also called basic proportionality theorem.
R and S are midpoints of sides XZ and ZY, respectively, of sides of a triangle ZYX. Find the perimeter of triangle ZYX.
![](data:image/png;base64,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)
Perimeter= Sum of all sides.
R and S are midpoints of sides XZ and ZY, respectively, of sides of a triangle ZYX. Find the perimeter of triangle ZYX.
![](data:image/png;base64,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)
Perimeter= Sum of all sides.
AB = x + 5, BD = 12, AC = 3x + 1, and CF = 15. Find the value of x if ABC is a triangle and BC ll DF.
![](data:image/png;base64,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)
It is also called basic proportionality theorem.
AB = x + 5, BD = 12, AC = 3x + 1, and CF = 15. Find the value of x if ABC is a triangle and BC ll DF.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAP0AAACUCAYAAABYzi9uAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAEUmSURBVHhe7b1neB3XlS04f9786h8z8833+nX3j3kd3ui527LsZ/eoLdmSLFGSJdlWprKoaEmWlUyREkVSDKKYcyYBggRIMJkJzFHMOecEJhAgApFvvhfkmr32qXOr7sUFCUlw0xeodbFRVfukqnP2OqlOVf1v8OHDR4eCT3ofPjoYfNJ3cFy/fl3FR8eBT/p2DEtmbq9du5ZybLdNTU3qlg66WZGQrly/loyL4iP74JO+HcOS0hLUHntJ65O+48EnfQcDiWqJfiPSeknN/y7pfbJnO3zSt3OQnl6KkuzxeFyJ70UKyWVrSW5+LvHNkY9shk/6dgyXuC5IaBI+nfReeElvw/ukbz/wSd9OQXI2yfibwi65UYrWEbb4sVgM4XAYoWAIkUgEiUQi6e4lupf8PrIfPunbKUhRkrdJyG3H7yQ1xeLEiRMYMXw4+vT+EqtWrUJ1dbX686IZ8Z1KwUf2wid9O8d1D+k5lqcQbNnnzJmDH/7bv+H/+j/+T3zyySc4dfq0uqWDFYhP+vYDn/QdBCQqx/GWtMeOHUOPHj3wj//Pf8f//l/+C5588kns3r3H8Z0KS3qf6u0DPuk7EGzXPhqOIGfKVNz/q/vxi7t/gf952224++67sVK6+ClwKgi9N++QXsXRU3xkH3zSdyCwpU9I9/7UiZN48/U3pGv/Q3z88cd48cUX8dOf/hQzZ83SoUASJDyHBw7p07v4PumzEz7p2ylISEtgHdM7+1erqpCfNx0PPtAJv33sN5g/bz769euHf//3f8fY8eMQDIXUnxdCb5fw8vOR3fBJ306hRBWi6+y90yInpKXfsW073n7zLSX9yOEjUFxcjHHjxuFnP/sZ+g/4ChVVldqyE7Yr33RNeggiJL2P7IdP+nYKkp736ONNCaUqiV9RWYlxY8fhrv/4OV7v8hpOHDuufidMmIAf/ehH+LR7N5w9X6xhCNtbiMmQIJaIJysPH9kNn/TtFGzhSV5uiVA4hB07d+Ktt97CP/3jP+LL3r1VT4wYMQI/+MEP8M577+LQkcNJ0hMkPkkfjce0ErEVAbc+shM+6dsp2CqzW265Wd9Qj8mTJ+OOO+7A3/zN3+B3j/8OOTk5qnv44Yfx93//93j9zTewa+9ubdUJkvta0zWd9dcKhBN6EiEJ75M+e+GTvgOA5D179izee+89/N3f/R3+5V/+RSfu7rzzTpV/+qd/Ut1rb7yOtevXIRwJazgz2y9kly1H9Ib0fiuf7fBJ307hJeaVK1cwc+ZMPPLII7j33nsxaPBgzJ8/H3l5edra9+nTB6916YKXX34Z00RXJ70CQlt6R5T0lvhy7BM/e+GTvp3CS8p169bh+eefx4MPPoiRI0eipPSy42Jw7tw5DB82TCsELsetqKxQPeOgsHVPXJdWX8QnffbDJ307B8nJNfYct3MhDpffkrheXL16FdOmTcP999+P999/HxUVhvTJll6Jf11v23Fi0Cd8dsMnfQfA0aNHMW/ePOzcuTP5wI1pwQ15+fANn7jjQp21a9ci0BhQ96TIT6huyO+Q3m/tsxc+6TsgSFUSmC0+CZ0OO1mXTnr6tIS34iP74JO+nSNTa0z6mpl4Q+R08tpKwRKbt/7Uv4Y0yBSvj+yAT/p2DkteCyW0CF+WlRC3uLjFE+b1WZbcyQpBxOp1PO8hvY/shU/6rAHp9u0pR7JyzT2JbsnOUX1MJCoSabqGmAjpzP/qX8S25Ka1N8T3tvQ+shc+6W8JSB1Lw9bRiOS7fp2UzRyGJL0uLbQ3Xo7NY00JROIJRCUIid4oTuXhJlyJXEO1RBeUY7b49OsK03HTINVNlWDi9ZHd8El/S0DiWHK2hkiG0Gxxr2srzDBp0ChMvCQnyRsXv1Fp5dmaR8QlKHLwYjlyitZh0uI12HLiHK5G4hrKdOmd80mS3opHL3788Xx2wyf9LYGHSElpiUjWr1D5mhlj2zF6agi3NXYJL628aNiNrxPPh8tqMWHhWrz62UB0/qQ3Rs5ahGOlleDjNaYPkem8SHJWNFZ80mc7fNLfErgEpbgES6Oxdtkdsom7vc2mk3O675BQ3TgWj4vwwZjriItEpJLgKnouqj1cEcTQwtV4q/9EfDa+EB8Mnojuwydh5a6DqApFtWIg8ZmSxCzx8nXYCalgjPAcuBDXnK+PbIZP+luClkhviW/EbV1JOP5MCBKf5I4LyZtITiEjKwCSPiY9gRhJLzGQyI0iuy9WYOicdXi1z2R8kbMEK49dxOzNe9F3cgEmL1iOfcWX0CCMZ4vPzj7n6Q3ZJf5rMd1eYwXgk75dwCf9LcGNSO9KS6RXwjfFlOQkPclIH5yQi0nrzvE7pUbqjkPltRg5dxVe+nw4ekxZhI3nqnE+1oRDFdUoWL0JX0+diTlrt6IsENdKghKXSkVn65XsfI7eTUfPQtLxkb3wSX9LQNI4xFbx/JoR3fy8lYS2uk6Xu0krALb6HMcL6SVWdunrRPZdqcPAWcvw+pej0GfKfGw4fhFXpEUvT1xDVdM1bD9VjC/HTcPgaX/Gkcu1OrNP0kvbrg/XmHTY2nPI4BBefubcTW/ER/bBJ/0tgSWMIbqX0qmk9+jlv7cHYGbY2SInEE1IKy0tM7v1JC0Jv+NCJYbOW4uXe4/BFxNnY/uZy6gWsl+NRVERiqBBKoizV2tRsHITBkydj8LV21F8tUHactPFZ7uut+9IeIlb5xL0PMw5mhkAn/TZCJ/0txikjZfcpgttxdXrbTqH6N7JNRKShI+KH3bpr4qXA5erMaRwOV7uOQI9py7E5lNlqIwlUBsVwjc2oF62NeEIrgQiOFMdRM6S9fhi5BSs339MewnsLXBOwJ6PmS/gnhw7FYEhvk/6bIRP+lsAt403xDK3wdiSZv4ZwntI3xRHIiFjbW2FrwlJTQvfILLzUg365i7EKz2Ho1/ufGw8cVG68uImFYOSPRDA1YZ6VDc0ICgtP194vXrPEfQfl4MZRatxorQcDXxFlqakqWkrr2/Vdc6ahPdJn73wSX8LkNq6k9S2O5/auptjSzBDQQ1JskuXnstr6cJWuVa669vPV2Jg4Wp07j4cn4+fhV3ny7QiCEhcdUL4YDyOkGyv1tWiIdCoE38ROZnTpRVYsHYzhkzNl27+BpQGoxqvSdXcLXCfozdnb8QnfTbCJ/0tgNJG/hlik0yZSW/1XtIr8USuSwQJ2SXh62V7uPQqvs5biM7dBqNX7mJsOVMmXf1r6q5d/6YEQvEYwjKmj8ZiiPINtwkuzxW3eAIHz1xA3zGT0X9iHg5frtRuvl20kxDScz2+WQrsVj4+6bMTPulvAUgVfYpN94XgQiQV+3OO3WWvZpa+ibfQSD4JyLAkZEBk34VyjJmzAu/2HYNeEwvxzclL2sLbsbm5k891+HHERQimz3v6XMRDXGkIIm/xSvSbMB0LNu7EhZo6p6WXOMQPia9DEElfb+fxWEP6yDb4pL9FsPe6+Z/0cYWE8rbupsWPyxg+JqJPwUkgujZKS35QCD954Xp0HZqDkbOKsPf8FdQ0mTG+l/B2qEDRlX4aM+NhmoyrCQfPl2Ly/BX4elIBNuw7gpD4YxwU409CS+Wjwwqf9FkLn/S3ECSfPrqqhLKSSnrVCMF4Lz4qhGNXnSQMCFOPX67ChHkr8NmIacgt2oIjctwghGe33EzENSc8j7zQ5buMX/brpJu/aOMufDZ4LKYvXoUL1Q1okBqGPQZWHnH61VbenKupOnxkG3zS30Joi+u0uobeJDhJJSIE18UxDiljFPHHFpxd+gPnyzFp/kr0GpOH3CXrcbK83qzEk74/u+OmjyCx2vhSSG/beeNuFt6YiuKQtPaTZi/GkMkFWLJpNy43RiQUhwrSe2Avg+N6OWZ4n/TZCZ/0fxUQegqpudRVZ8pJdCG9WWor3Wlxt4SvkS79oZKrmLJoA7oPz0Fe0XqcrwkgKGQPJpoQiHAY4HThJZ5MQrInxdGRymzt62NN2HPyHAZOmIFBU2Zp78GmHZVz07G97LsVh49sg0/6Wwwlp06OkfBcB8cuuZk44wswYkJItsAkHh+eOXy5AmPnLNMufc6STThedlVn2oPxmBA+gli8SWfn43LM3oIZ/ZsWvSXSW+IzXdK4PBDC1HlL0XfsDKzdewpVoZiSnq09l/sq3Z1eio/sg0/6WwzbIrMrzxaeLT3HzXzohV16tvKkLsfw+8+XYfKCleg5OhdTF67FiSv1aBDecdFNQziMgEhYiB+JhJX0huAkZjrpjS6d9OYOwnU0CrG3HTuN0TOLMDhnHjYePKlDB4a0Qwe9++CTPivhk/6WwyUgx968pcYPSMY4fhYtpS5xHYcvXcWkBWulhc9B/rJvcKE6gEDTdV1OW1XfiIAQvzEUQl19HaLRsBCScVqYisWI1Tvpis7OzbOy4bidb9ipiicw75vdeKfnIIyfvQgVwYh2//WcJChD8Ocj++CT/hbDtvTs1LOl5710vvGGLSrpyGWyhy5cwehZReg+Ig95y7bg9BUzzmaXvi4URl0whJqGBtQ1NiAkrXyThDekZvw2Ddvap5KeOm3pSXrZhoX0TJMt++7iEnw9pQCDp8zE1oPHUSs9CYaOyT8S36d8dsIn/S2DJaW08EJ0273nbTHzIgvTpd93tgQT58oYfvgUTFm0FmeuBnV8HU4ktGVnl74xHEK1tPCBUDBJRCW6bp39pJC2rljSs2Mfv5ZApKlJCc95gvJgGFulmz982myMmTEPJ0qr9Ly4dDchwW1aPrILPulvCUgXl3RNQnozkWdm0NlO8002R0qqMXb2CnQdPBH5yzeaWXoJGpYxdzjGYUACgWBQvzIbjkb0nr+FSUFv2unPKm2LnzLBJ1vOJeiwgt+il/NgT4Jr8yvCUUyetxTdh07G6r2nUBM3T/Np917cfWQffNLfElhKcvLMCGfrSUMSPiTOB85dxqhZQrYR05FbtBEnr1xNuvMNt1EZc8diMYSldQ9HQro81gubwk1JL6JnInouALLvyLexkeDr9x3HoNyFGDd3DfZIz4M9DcbIe/Y+sg8+6VsEzdohS8p+c9iusxc8zNwQ0sEQj2vp9Q01orOErm+6jr1npEs/bxm6DZssXfr1OFcbUfKRbOwJKCmFcNFoFPFYVOMy8h1aevlp+qLXx2fpThf5x9jY4pc1RLB4yyH0HpuPmcs3oFpaf2nwZWzPCiMzMuWJgnpn18Lr1+6b4wzhfXxv+KRvBhqaIYYhB82a0rIBspXl++qSFBCvbAT5ymprzDZeyjVO1ElXWkVIRrJTGiU5ztKzhf906EQUrNwsY3gZqzvu2uWWeOzZ6FNv2sLb83XSvyF4TraSMBWOFS/hmuTcEyKMPSaJ7SsuxeCpszEibw52nSjGVc8bdNNT1fBNcp3MBOfYbqnTx3RVY2D8UWPOjcMd5hErR6P30ZbwSZ8GY/QkhNBLpLlJZwYX1vCWlxq4/NGOSXpROD64ZVwkQ5OOn9lNN6+mMl36/UKscXNW4rORMzBl8XqcqazVECS7LowRkRTSzsiJlwRJpnUj2OujsJpKJ73sUS/7Zo29qXBK6oNYumUvBk3Kx7hZC3C0pEIJb4UpS2j5z9NgpcGeTNqZij4WN7ckbwzmkXkLL8/TR9vCJ30aaJjmdVA0ddOONTbU4dLF8/oN9/3792Pv3r04dOgQjh07ivPnz6IhUK+0sd1jGw9F9/XYkIlHnLDjfXh+akqXvkrlcOh8Gab8eTV6jMjBtKJNKK6J6KQdCW8qBkt4Sy2C8Vmx1LsZeF6G8HqtTpwar+qk9deVfCYu1lsRib5BVOerGzFxzhJ0GzwWq/YcRcB5Xt8Sn+fHUPyvC32YBzxmPpjoVMfbkvWNDSgpuYSTJ05KPh7DoYMHcOrUCVRXVynZeU08D3P70Udbwid9M1hSGBLR8FatXI4/vv8enn76aTz++ON47DeP4cEHO6FTp/vw3rtvY+WqFQgE2Ak3Bk+D1TgMlbQy0EdiRWj0NGN2jSl87v1oaQ3Gz16OnkL4QnbppYXnAhmupQ9F+fppxqSxGgLZI+c8tVdiqwWtWKxv+jFidUYcMoqkQiou3kloMqv5mBS7+HyttlZOcrxs+370n1yI3KUbceRSuVRM5tw4xufbeJtkq9fIll7iUPLzuj2tfkMwgK3bt2HY8KHo0uUVPPbYI/j1ww/inXfexqxZBVIZXBRfPDuJzyd9m8MnfRp0fJ6w69YhZG7AgAH98KPb/w0///nP8eSTT+KpJ5/Ao79+GPfecxcefeRhfNrtU6xfvwHhMO9ui6nS2CW8ebqNBOA9cJJeSCWEYHXCFrxBeLC3+DImzVuNnqPyMW3RBpyrqle3YDyKYDSGiJA+HueLMBkT4+Z/EsgS3hHbH5B909VPdfe2xwRjcGloYVtX87IOQ3r3nLlo52RFDWau3qEP++QuXoMqOT9Cey1KdvHLMBT5mddoMy5TYZWUlGDRkiX4omdPdHntVXR+7hn89rePCuk74RHJyzfeeA0zZ+ajrOyylAPPo/lZ+vh+8EmfBrYssVgk2cJcvnwJH3zwPn7xi7sxfPgwbN68Gdu3bcOWLZuweNEC9OvXB79+9BF8/kUPlFdWaBiSLCHE0U9MCZE4Q29vyRm6ArWJ6zhwoQyT5q9Aj2FTMX3JRpytDKIxcQ2BWFRbw4hseVuOs/T2fAx52HpbMlv60t2Q/uZi+iAUS8b0eM0+W26et+lHhIXYjSJbj1/CR/1HS89kkrT2VxCSbr6ZZBTic55CztXMB8hP4rKorq7GtGnT8NJLL6kMGTIYq1evwLZtW/DNhnUYM2YUXnnlJbz11huYO3c2KivLnZA+2hI+6dNAg+dHImn03B4+fBivvvIKfiNd+q3bNisBE/G4tOohFJ8rxsTJE/GzO/8dL776EkpKS5xYJKxO7EkFIgTgslre3iIpSAGutDt4sRJjZi+VFj4XhSukS3+lWvW1wRDqg0Fp4aM6ZAgK+dniXdcWz7TyXoKaGOlm90lP0+q7FYKXzMZ/kvYaj5FUv9yKDxVWXNJbkeTp42JtAPlFazFo0gzMW7MJZ8qrkrcTOVfBa2ZlYW7/8ZwlnJz/7t278eKLL+Cee36JESOG4+jRI3KNjXp90WgEJ08ex8iRw/HUU09IRftHyfuDGtZH28InfTMYIyUaGuqxYsUKdH72We12Xr58wXExKL5wHsNHjcC9D9yHD7t+hPKqK44L2zh25xOIiEFHEnxE1rT0nJzbc6YE4+auxOejZiCvaAMuVDcqYRqlZa9paERDIIiQDBUauJY+xNE9qcbzMuKS3hKVem5bT/ob6S3hrZC8JDFX6FH46uxzFVcxY8kqfDVhGtbtP6a3FbmWICKkZyWn6w88XfPKyirk5xdIV/4xvPvu20L4w46Li0gkhCNHDmLcuNHSqxqqE3s+2h4+6dNgiGSIXyot9+TJk9RQX3+9C7Zv34r6hgbU19dLV74cS5YWoauM5995/13Mmluos/gE6c2WPrmWXYjC7m+9dIOPlJRjwtxl+HToZOQt24zi6jAC4h6Ix1AfCiEk3flGaelr6+uktTdLa9lamp+ld7KdTup45JLWJbH1yXOy4obOpDdxOjElhaTnizSjTo8lLOe8cvs+9B6TgxkrNsl1BHTpcFj88bkAM2npkp6tfN++fXWoxK4750oI3s9nxRLjW3qjfCQ4ojP4ZZL3psLz0dbwSZ8GY/IGFy6ekxZnCO677x785Cd34Omnn8Hv33lPxpxv45VXX8Gvf/0wnu38LPJnFaC0rFTG8RzLCn2ux5XweltO4rOz9Hxr7YiZi6SFz0XBqi04KV16mnVA/DWQ7JGIEr9euvRBIbx9NZWSTrY3FhKYP0Nl/em5UDilxvkFR5L6VJGzFzFpJSRhUw2YCkBvM4rwldkkPeVYaRVyi9ZjQM4cLPhmF8qDMW3tG/j2HqkgzNkbLF68UCvO3r176y1PO0cR5317Jbw7b+EFKwQfbQuf9Gnwmtihwwfw4Yfv4+67/kPHob97/Ek8/Wxn3Xbq9AD+5Z//EXf9/E4sKVrihCA5zNNq5gUYhhxs//dcqsCU5Vvw5dS5mLVhByoc++aGlQK3JBsfpnGc/qrBfGKFdaCsBkMLFmJEwQLpxVSiNn4N9VF+W89UHhY5OZPxwAP3o2fPnjh+/ISSnLHw9qCZOG3SCqBBelK1tbUIBkOq80nf9vBJfwMsX7EU9937Szz8UCdMy8uVSuAwzpw5I0Z7Etu3bcUbr72K/3nb/8DwEcOlSx5QI2frxhE1W7zapuu4FIxj54UKDJm9DH8YNhWT1+zC4epaXEk0oUoIXhGLoyoaQ3kkjHJp5atkLF8jrX6tdJHrROrjIrKtEal2hPt0o7j6uOzHk+G4rRESJcVxV/HqPVLnhKfUy3GDSK2cW7WQuCZm0qIb06uU86qSazha24AJRWvRZ0oh5n2zB8ev1KJOMsJO7FlwZv5nP/spunfvJmP1U3pXwpBeckvH/00oKyvDli1bsGHDBs1newvUR9vCJ30L4IxynhD9jh/dLt35N3Gp5JLj4mLsmNG47bb/F127dsVFcWfrbkexbAXXHjqB3rlz8dbgibj/3R74j9c+wVtDp+CrwvnoNy0ffaZOR1+Rr7idkou+k3Okq5yHAbl5+Eq2FD3W/Wno78hXU6dhwFTRO2H7U6x/2f9a3dw4jF62jgyQ8IzPiMePRxjHwCniLtJ/Sp6IpOW4cdtP3Jluj8l5eLXvEDz2xx54q99oLNx+VCozu/jIbaVzc3Nw/69+hW7dPtUVeM1xHRs3bsAf/vAeevX8AocOHdRuv4+2h0/6FlBfX6srxn784x+jR48eqKmtSc5Gc1srx3379sMdd/wYvfv0QUnZ5eQMPU29IprA1/kL8LOXZHjw7hd4otcwPPPlMHT+ciie7TUQnXv0x3M9+uJ5yueUPrL/5Q2kt0gvlRc+7y3SR8SGZTzix9EZt9TwPHbFxGMk1Z8V+nvxM7PVc7NpJN374LnP+up1vND7azz6US889sGXGLlgA07WxfRT2JFkFQisW78ev3/7bbz88ssoKChATU2Ndt85juc7/Y4fP4o+X/bCz376E3z4wfs4f75YQvld+78EfNJnACfAzhYXo9tn3XHbD36AP374AfYd2IfDRw5K1/Q4Dh8+hMLCQjwr4/sHOj2EAtnnSyw4FmentU7GtXvOX0H38QV44vMh6L9oIxafuogVxZew9OR5LDp8BkWUI6eMHDotx6ew9MhJOW5JTogcV1kqPYilh06qFB12hH4kDhtXUmdFjt0wjMtKmj9HrN+lGj/jk3jT3UW//PgZrD17DjO27EXPaQvwdeEKrDx4FiWN5nFg0p5SfP48Ro0ejV/e80s81/k5vRV65MhhkUPYsX0rBg4coKsbn3rycV2RZ2f3feK3PXzSZ0A0HtOWqfPzz+H//tv/ih//rx/jtTe6oMvrr+CNN7vgzbfewHPPPY9XXumCkaPG4KSMPwkaN5fW7jxTqt+W6zlxDnLX7cbBuigqxY3r9WpEOLFHk/6uwldhW8nk3pLYMN70uZ/pfG6WhnXjMIbb0sR1bDh9Ef1y52DgtLk4UlKRrAQ5qcdKce++ffjwww/xwAMP4IUXnkeXLq+iy6uSp2+8rot2Pv7oQyxcuEAfxPHJ/peDT/oMoIGuXb8OH//pE3R66EHcdffP8atf3Yt7f3UP7r7nbjwoujfffFu6qbNw4WKJPhNP8Ntye8+WYvy8NfhidD6mr9iKM7UhJXpVIoHySBR14odr2FsjJJQVr57TW1a8+nRJD+fVp0smfzcTmz4rDe6XRWMYO2cBug4chZU79uFqNKqtfZj34mXLVYa8X//11wPwzNNP6h2Re+65B0888QQGDBiAXbt26aIkC7s4yEfbwid9Gmhj8UQTysrLceDQQWzesgmrVq3A0mVFWLZiGZbL/uq1a7Fjxy5cLi1L3l4LCe+PXSrH6PyF6DZkKgpW7cDJylrTIvJR0lgEgUQcIRF+NprPx7MVvJGYe/xGXD33byRu+EgGndVbsRNu6fFQZ/zQPTW8V7QVl2tnPnBV3saDRzAybw7G5M/DtqMnVWcfIbbEP1d8Fls2bcSa1auwetVqrJde1cmTJxEMswox4LwJb+ElpLL00bbwSZ8Gkv7bNC5q7GL0+6WFnzJvBb4cNQ15+gKMBjX4Oi66EUMPRMMIRkKIyDEfStEn7yQhr3DxS4qIn6SojtsmFX1rblL4MktKapwMZ/20Jl5vnDzmZ6y4GCclrEeYRoL7QnySn0uMqwIhLN2yG92HjEPO4rXSu3EqFnGj3xuBC6O4wInv/ufHOiiZFuz4+H7wSd8qNDdWdujZel2NXMOB85WYNH8teo7Mw9zVW1HaEAG/LVcbiaCqwX6IImg+RKH3p01LxpdQ2ufs+eitPqzSSjGP6lK45JXPwFPM8tdU4XJg8/EMK153r96Ns3Xnw4dwmA8J6b6HpXfEV2Pz7sWBcxcxYEohBuQswObjl1AT49o+Q3q+OcfeBfGCj/TaR5p5LVyww2OzLNpHW8In/U3AhSM0wCiN8HpcWqyEGLeQQtzYGT14oQKj8pfg8xHTUbh6J85V1Wq3lx+iaOCyWhmj1nK9vvOaaq41V0ilQOPnnQIuTDGftPJK+jLZ5u4aXsKSKNcdMceOXvzpc/0kkiesfQMvJUWv4Yw0T7O5Tnw6lyKtvlwPr5uaynAEq/adRs/xhRiYMxcnrnAaU4YDwny+IozxGzAPDMkt4c1CHVMBJBKZl+b6+H7wSZ8RbJdM604jjMbCQtiQEF5IL22Zri8Xu91z5hLGz1mKniNyMZ1Py9VE1PDDYthcR8+HZ0LSyuuXZ0KhZH9Be7lCEjNRJRFJGly06gonvjL9zMp6e6QRqZg4XLE6V9yw6Xo3XaMzcXr9G7E/Vyce9XoI7rGVZ2XIPCiRGnHEzCL8se9wrN69Hw3hqPR+ZEwvcZtnChjCVE5cCEVym6f7rFDvd+//EvBJ3wzGGK3Q+Piqau0iyzENujbBz0VXYnThUvxp0HjMXrUFZQ1hfbklK4RIXMbS7O5Ky87JKe3SKsE0RhVLeMbvTS9Vvg3SwzK11iA9nBVveG+etByv1GM6x0GpkX/Ltx/AwCkFUjEuwvbjZ0Xn3LkgmfW6TTXCvOBCHVYAZraeOu6bisBH28InfTMYA5eOrBgxn5oz41uhrRK+Qbrnu85cwKhZS9BrXAFmrt6O4soapQONXSe5hPAx6d5zWBBPjku9baQx9G9FesMFIxlhHW3YFj2mwZueV7zhWxcvu/m2teekXklNPeav24I/9hmEMbMXoTxmHibiM/c6H8Drd+Iz+WHjtqSnME0fbYksJD0NwysWN9O3DjQykp2TYwluxRB1Jlzc2MJvP1mM0bMWoseoHMxasw1lYfOoKd35oA1/bMVi8QgSTdQaYusYWtysuKS3ZMokHmS6tGagow3b2mv2pucVb/gbxctjI3rtIswHztizAthXfAndBo9Gz9FTsfd8GQIxVp90Yz45xHfIrrEwX/hz8sbkj5tGa8StQCgWjlsGXUdDlpGehUlTMq2jt5V0WwbTOjh25Oxbfy0VMPUmHn5TLi5kjco4U295iZak5gswDlwsx/CCRfohijlrt+FifVAXpTB26YjKVk1ZxDkfz3nqhJ1o2peZmfLQ/HXy2PaMOBRijl4JhLBk824MyZ2LnIWrcLLkil4/fTOHLAm1BCSP+L58bl24abRWkpObsm/LVctBUmQPzpSPKRfj1n5KpDXIetJ7RSfEVOhm/HPHzmabViMT6FncRTh+jwnpdQGNhLVd1b1nL2FUYRE+Hz0D0/nGm6t1ehamUjDmZAzKa0iOsck5WdK3LxNLJb1eJ28bUiQfmC98w86F2iAmzl2OrgNGYtX2vQg3mXzVnLLlI/lj7xDYlt+AaZDAmcSkmS58b775UIbrR8tBS8mIV9+eSqQ1aDekN4Vnj63hUCf/r0lxp90qMnE5wtlktg4SnkbHFt6+4qpODHSPEH7CnGX4YmQuClZuxYW6GLh0lQtX2JWlOZHSakzOuXmF5+SSXtKTX/sA888tA739pjPxnLgk8c0YvlGyYcnG3egxeCwmFi7EkYulWpEyF/hGHq5X0A+FZMwZpsE8zCRu2l4xLT33XT9aDiJJ0qeUU3spj9YhK0lvum40JyOmYKVIKfSTLEwpZCl4M3ZkWFHRlQbmdAHNPWIx1ATjoSmY8Shn4eskikOXrmL0zCJ8MTwH89Zsx/nqBiU8P0TB99LTaO15WeOi6HlSHCNTk9ZzMNI+YK6b+WiJxltsulBI50Q44JHKUeTMlSrMXrYOfUZPQv7S1SgPUeuUoJaHxCX7Ss1meWTyOF1MaTsiaaWWgePnBpWDe4uT/jsOspz0LODmpLfEoyjpuWVYx03DO8JuIEnPNd4kMEOxheenpnaevoixhSukhc/H9KKNSni6ceENvzxjPkQhrRrvJes58HxcY2tOegrdxEu7gFsehvTOdcu+mQjldZshEJfpHj5fggETp2Hg5HwculiOYIxjf7b2Uirinqy0TRa60gKMb0ec/HfLwMAnfXNkJemThaYmZY/pZsQSniIa/a97jgGYSsOE026obHX5qYSg1PB5eOnSc+FNj+FTka9vrQ3p7bpGITxfXsk19LGYeV87Kw17HjxHC6bqkt6eJ8/B8ZD18JYHr4sXZvKZE6Jm1Z65u0FUBEKYt3YzhuTOwew1W3GqrNqQXkQ/BuJ08TUOjcdIS3BLlmnb83DLwIRPdfOKayftpkBahawjvUtmivm5rahXXNekf0+Ba7e+KaaLbsznos3kUr1Y6N5z5RhRsBg9R+fqLP3ZqlpdgXeVr6YOmtdUNwQC+jEKHb9KhZFuQEzftFwu8d3025ORSR47+a35LNfH/NDr5HXz2MkTfveOb9AdP3cpvhgxCWt2HdauP/Odk6amp2XC2l6SKb+WwHiNmHMwYY1O/kt8Ruhmy8crHRNZTXrz34gtcCPipgYkevmfDCOtOlt2+mH3M5qISbfTzDKzNWJLvu34eYyauQw9RhUgf8UWXKwLqGE2RKOobgygNhDUh2f41dVQOKhx2fiNuAYnPVZH6xiw5/zaH3jdvDZ29ZnHRnSBk+jFxVSqcumLtuxGtyFjkLdkFS7V1iMgLTzXQtCP5pWE4XcDbk56i8yklwP+JcXoTYkk/XRAZCXpDZ2/PelpjJxgYivCLr0+WiouJHxtvAl7z1zEqIJF6DZ0Cmau3IGL9TFtneyHKILSwtdL615bVyvj+XCzNN2WxRGJ1wjPJNVv+wOv2VSA3CbnTbhPEouerqxAD10sxTQh/PDpc1G0eTdKG8JaBiY0f8b39yZ9Mzj2o/5Sy6sjIatIbwhEM3BIpAVIgntEflqwjpsxJSckbw1xdllbd3M7iaRvEOc9Z8swZNp8fD4iB3PX7URxZa2uEw/EEzppxyfk2KVvCDTqON7bpTekdv6rEZm0rRg/1pDVl+jaD+zdEJ0Uk+ujeMvDXLshvbb20Rh289Va4/PQd3w+Dlyo0rslZnzP3DE/E4clKCU930y52jStuDHIzykPLX91+zaVSftE1pGexWYNSQtZjIKGYRZ2OMRz3E2tbwtc/otxXpcuPP3RhaSvSzRh20mupV+O7sOnYcbyjSgN8Fk66IcnAvxaixA/GouiobER4QjNk6AxmfgZuz03l/QmfeOHRsYuLn/01X7A67UPy5hZcM1pvUorNo+YEyQ2NWWBGCbOkTwfkoMFGw/ickNQKwTGYOkoUZsyS+aldbGwvlOFadm0bVkYval6fNJnEaz5sAWwBUlCpZOeRasFq35oAmJw4m7CuYSvjTVh39kSjMhfgE+HTEHhmt240BDSFl79SIL83rqZpY/qbT3T2pgzcYXH8l/cMpGe4p4jz8P4z3bwWtnK2zwxWwPNIbozL5w84n9O2DHv6yVztx09j3GFKzFs2kJsPnRSlzTTzTzD4MLkKfORMXhh8z9VmKbms8ajZ6LhWQa0CxWel+d8OxKyi/RqRJbMLGBTqCxeQyojekw9C19aIX4vXd8Ko4ZgCM1VYjtPlWBo3p/xxcgcFK7eiuKqBm1tKCQ8J+KYJslu3tVmjcSak/zUII0BpYo5Pz1HOea5kATWvT0g9Trd3LGw7vJf3ShxyTu+g4/fuq8JxbBs2370GDYR+UvWoDwQUX1YMj4qPTBbOWr+JSsXC8adWrGakmU+e0jP9B13azvuPt3S423/yDLSSwEJeU0Bu4ZkCpcFaWeLDblpNPGEO0vPFkRbmXgTdp4uwWhpZboNy0H+io0oC0o3XtzsxJ7OvDvG5hqcxqrCNE26Xj9eSTUkHrc/47J50tJ1GXeWFPcoLB37ok+GPHqpFGML5mHo1JlYs/sQrgSj+tqtoJRRXIZiDGTzODUPue+S2NiEl/S2fBgu1V9z4Zl0HGQV6Q1MwashyL4VbyFaHWt7tvLRawnYN7/WJa7hwLkyjJq5BJ+NnIbCtbtRXCNjdXGjyfDWkW3h08WYqU3DEN91lyPPORj/7R02TyiZrte4S+7oHoW9LX3nAPdFamXotP3oKQyYkIevJk3H/otXtJzY2sebpCxkq/nrVKxuBZya55nKRlNuVi6ZxCf9XzXUjJRkIlqw8pOCM8KZeTM7b455/9d0J/UVVyL8EAUJ32vsdMySLv256oC6BeP8tDTjkzTUpuSfGoMxMCOuYTkmZbyppBtXJkPyxtUewOvgdRoxJWJ+LkxOWdHHbrVMTK+KIStDUUycvxRdpZtftOsIKuSYZSL1s1mlx7xlmWovjyFMHprKliLu1Dt5b4dSxk7o5pZJahhX35GQnRN5LHAtdFNwuvZbyEiiK+l1lZzp5nN8zpajWrqLu4qvYMy8teg+Ik+/D18qY8iQGAAJHwibWXq2JNaovAadWYxxSxTJczH9hVR3A298Xn02w3tNtmSMeGG1Qi/zFiLJK7byFCIo+o1HTmHozCIMLlgs+6eTPS+updDxuRI+NW+ZuhFjC/aWoUtso3fDefPde+5efftH1pJea3MSW0Rra8eFPy7A4YQejYqkZ5d+77lSjNAu/Qzkr96F01X15j58LIpAJKKvuIpGY4jH3NdbWaPQ+D3iGovjnvyl6luW9mJkXuIkS8bNB4d4XhcSmKXFXNTJUtmyxa8IRzBn4z682Xsoxs5eghopOJZdSMb1ZsgloZ38N+UuWyclk5tOmh6NgfccvfqOi6wjfZJgXtKLAbCF50MzNCrzSKddWgtsP3kBo2cVSZdeCL9yK85cDeiCnDohO19THQiHEQqH9Oup/MCCIbZrLNbYrLhG5LgnxbqZMzX71FlhXBS6tQe4eaTX5hHV6bXy2P4Ygj+WEcUszSXpud197gp6jclB33F52Hr0LCqDYX2vQVwCslxtq5181bdWBuYsUs/FaAy47xUfWTiRR7DwHAMQIfHdV1xxlt50HWui0qU/XYrRhSvw+chpmL1mGy43SssuxlIrRK+qb3A+RBFCXX29vsjSxu0Vm46VG7l7DStppKq3pBejF2kfaJ5XmcULXj/nXfjorTv8Ys5fCYTxzYFjGJpbiGHT5mDfucvJsb/kov40PidP3Uk9wnsu7SV//zLIWtKzVeXEHdtzfRGlEJ+z9HZmmN9H53vpubSWY/jZnKWvrtOxYmM8Ki18GA3SpaxtbEBdY6N+Y01XlaUYjxGXuKl6K9adJPfCS3rj1t6MsSWipechQZ3VmzzhbbW4HEZFeJuOZccPZUyasxgf9BmGpdsP6tONrBQYysZg42Ec1sXmtevTR0vIWtJz7K6fdJKfjODFMEwLT6mTst96vBgjChagx6hcFKzYjAu15nvpgXgcjUL4oLT0jdKl1w9RyL5rJta0jGFZ43INqrkYg6PhyaHAtEnWEF339gc3j1LzjbD71o1bNw9tnvBWfKxJKmrxQl+slFftPIC+Y6djTGER9p4t0XIj2HszsfHH8N74vBUrJR1OmTi/lv21f2Qp6TnGE0Np4kcW+fYVLvgwn5kqj8Sw8/RlDM9fjE+HTsa89TtwJRhTt2AigUAkiphsg/y2XEM9IrGoGl9mUlJvW+pU4qfq3LDcc6YTncmn9mxY5mqbi7lmXrrJ29T8Izm9i234LTx+FosVdkC2F6obsXjzPvQenYO8RctRFTKVMm+9sm9n81fjU6Knptsc5hz0Ni7LhWGTFVDHQ1aSnsbEFoKzulzdRWNha1DaGMKKXQfRd+JMGcNP14U356RLz+JlK6GVRIwfR4whLK09H6K5MSnTDdYaraszehMH4xLXpGF1XNJTLNLzkGEM2e1iGy7AicuWH8Hghz/5paCDF8vx9aQZGDRpOvaeKkY9K2sJybI2Lb5LfBMv00zNa6ah+a/l4BJew4m4YVLDtXe0MeltBt5IboKM3ozSGkqTGAZv99AIaAAk/Pm6ABZu2oNeY/Pw8aDxeh/+csB0+a2xMBYu9iDpW/fdc6ZJgzHinoerc/Xyn0YmhpQUa3TtFqnX6xLezSvum3zykt7AEJ56DtU4L8OFO6ZqLZMKfNE324X0+ZgyrwhHS65oWbMc+Qltfk6btFcyyzAvNU0jai8q4pP+NIwhvEt6G67joA1Jz4yzmZgqtsDTC70ZKTQK+UfhvooqVfjwTIxr6bkVDbv0lAtC+D9Ld7DrsBwh/CTM27AblxpC7tJaEe0WOunZriVhz8ErPloHyS2WSlK85dyi6M8WLcvBrrVQCiepyEVTZytqMHnuUnw2ZDyW7Tikt1lZpmEureYbd8UPCc3btYzb2gnPiqLxiR+9PSgVSrMFPtxX4XHHwX8i6VkwrJFdUpFfSZJxS+/eaOwBw8uWy2ujUuD8KixJzxa+pLYe87/Zga5Dp+LDQVMxc80uXKgNaHCmRrHFbJNKgseOmHNxjn20Ct+F9KbVNbRMIb2T8fxviz8s/1bvPIh+42cgZ8kGHC2t1DcchcUOzPfwGI/41XgcApuY9cc9SVVFn7D0Sa/4TyQ9tzy2zDKFnAQZJy38dUd0X8OJUYjQrGganMwh4Tkxxy79/A3b8dmIKejK5+HX7cLFxoS68fYPn6qzRUwjSE3THqfreeT+vH4y6W6kt5LJ3ftrKz1/Lbm1lZ4/V8/W9NuTPuMTcPozMVvLYYVdXFGN+et3YuDUOZi1ciNKGyOq51wO7cG29mpbal+M2cZj0qHoI9ealrEGFRtGdR0HbUp6b+GmCt1sUZjiMMJ9CxPefCzBdNfYAugiDhGO4VjQtkt/sZ5d+r3awv9pyGQs3Lwfl2QcGBC3oPQEwjHev2eBMyVjnG4VoGaguub6lg35++hv5NZW+hu5tZX+Rm6t0/NniGhLxy0PV8sS4bAs2HQNe4vL0Gv0VPQbm4tjJRVJG2ClzrX8pnvPUMbOnDZDhWZHN9qSGdMzBQvuuUcdBbeA9J6CVp2BLqtkwTjCepwtPO/Fx0U4eWNqeE+XfthUfDw4B7PX7UZJY1iNJETC84k5kbiI+8Rd6jkZg5Q0Mhlm0j1N7+i+i/5Gbm2lv5FbW+lv5Ga7y+n6VP+ZSe/muXG3pKdrSUMEUxesUNIXbdqFkpo67e3RHmK0ERFDekleTCqd9GzJXdKn0r4j4j+F9Kbomksq6Ul2qbvVP0nPJTdCXDnmo5g6aytySVr4BRt34PMRU7VLP1u69Jfq4+Bba0PSQ+A76WNx6R2IxGLRZK8hXbxGmW6YXvdMOqt3x5A3938jtxvpsyUNQ1Mp1wxhUv0b2lEs6VWfEsb4YYwkdm38Gg6eu4Rpi1ZhSM5srN93FAEJSpvgGg2G8BLZS3yjNbZp0zDpuv47Gv6CY3oep+u8bq4PFSG2megjSc230NjCx6SgbHfuQo0Qnl36YVPw6dApWMQuvYzr+THEhmgMQWfhDe/BR8Jhh/CZ0jdGYn7ct3qm7xjvTcRryK3RfxdpKa6W9N9FWoqrJX26mHJzRDQ2V92Ste42Pu6LDxWvPl0M8fmOA87YB2S4tnrXfnwhlf3URetQfNWUO89OfGtKLcM5DxWGSC/nG4dub/gLkd5molfnFeNuXbk1xWYKpElIb7v01JDwF2vqMXvtdhnD5+CTIdMwZ/0elDZGtfjYwnOlXUgkEo0gEonoI7I2Zptu0qC4rz/j6p5XJtK74b3iNdDW6JPuEr/b0lh9NqbhSJLAbn5SvHAJbkVCphwbYTfcpMkt4yPpzVwO4zxeWokJc1dhwOT5WLLlACrDLONU0jOcs+eIhT13Xo9P+jYCMy49E706rxh3FpU9MrdyzBhbP0Qhx8kWvq4B89YL4YdMxseDpEu/YR8uBa/ppF1IjIIflIxKCx+KRhEIhxCX/eQZJA1OunY6hLDjeNOS2DPheSUNXV2MK13M1uqMmDjc7uLN9Knu3Lfx8peNaTTXmjSaSya/+mIMz7Hr3xzZY6382eOT/erYNWw7cRkDp87HsLx5eguPnwunjSiFWZkk12BQXFsz+xSf9G1IegEz20oy01MlSSwSUX/Gpz4HL4XL2VgWJAvZED6AuZt244NBE/HR4MmYv+kAimsD+uqrRingQKIJoURcX4TBx2QjQnh31p7xUoyR6YcqVcztPxa9iuNuzZzVgqka2GYa8+C+1dtqwystuaXqGB+Pbdo8ztY0nLzziJsGj20YSY95yzymXsrDCPVm3+q5rNqkYc+XfmgPQnzZ57qMC/VR5BWtF+LPxIo9B+W4URft0I3r9/Wz1+JXVPrf9iJoc64d2n26G+lIaGPSW+E/m8GpwgLghIppUd0grKVJPDtpx3vt52obUbB+Bz4Ynos/DMtD/je7cDGUAL8PXy+h6oTgjU1C/KYm1Avhg3yeXtwY3oqtPGg05h6/EduL8LpZ/3yJpnmRpql8rFg9xas3BmnDtKR3w9APjTRdT7H+KV79X2saNh2vf4r174ZJTStdGJ6P1dCvm4YJFxG74ffuAmIbV6UW33nmAsbOX4a+UwtQtPcwqsWvXqvYkL5lR8IYC7SkN/ZmbNBanIFP+u8LzTuT3S0JMzi5IstoPPum8ANycLo2iNmb9+ODUdPxHl9xtfMkziSk0MW9zpF6uy/+G2XLioKiSzUd4TErCYpXZ4V6bxir49BB7/l7xOpaq093z6T7vvp090y676tPd/8+em/eM79JVm+ep/ulH+qrpYxt2VeIzN1+CG/2H4XB81bgbIgVAisHU9HTjqxteUlvW30vfNJ/LzDjmIHeWpXZzhbdLLIxL6w0BGe3OyEtNN9Lz/X0tvvH11uduBrCjM1H8M6oQvxx0nzMPnIOx0TPwrZSJUIj4LbS2a8RYa3Pba0jPLZi9dxaaUnP+Cje8FbXWj2lreJqSU+5lWlQvo3e5i/FlhH3rf90v9yyjMtFWO48JvG3VgTQf/4G9CpciyWHL+JCQziF9GqLjg1a0c+T83VoMoQ0q/CMzRrpOPgLTOR5CC/kN2+34bfgo4jFo0p0tvQJYX2cpJeC4MQbn5yLShQX6yKYJYR/oV8O7ujSE88NzsWUnYdQuO8A8nbsxfTtezFj214UiMzcaqRAJH/bPt3yeJbKHpHdmLnNlVlbdqNQxLgZUb1sC7fsc3Q89oRxjpvF1Qp9unsm3ffVp7tn0n1ffbq7q5P827pPdMxH5t3N89ArhVuY7ywr168bxpTPjC27kLd5J6aLrkDKf+YO0e/aiwkbduOzmWvw/IA8dJv0Z+w4d0WHBJxbMHS29ugKJ3GbEiS9+NKGye0BdCS0Oek1Ez2ZbBbcmG/LmI68gd16EZaK4NjlKgybswoPfzAA/+vV7vjVB33RufdgPN+rH579vDee6/GlyguOvKjbPnjh874isqXuc1eS/mT/pc+MvCz+XhL/LzKMusnxZzzukxLGhkuP67vob+TWVvobubWVPtXNyXfmvwjz0+ahN5zrv6V40vTqZuLr3K03nvq0J57u1gudxd9ztAHZPvP51/hdt8H45Vtf4M1+47Dp6DklvWlyaGm0wUxWlqrTiqCJVUXHQZuRnuOihGQeW/M4a1Nn/GRqURbFzcGFGCU1DVi7/wRylm/GxOUbMWHZeoxduFykCOMXLsaEBYsxXmTCgkWYSFm4CBMWLsGEPxeJyFb8TPyzK/Q3nv7+LDJ/ESaJTBaZOJ9hlqjbBPE3SY7Vv/ijzgrDUZeut7rW6q2bnkeaWzamYUTKQvPQKRPmv5OH3vStX+PfFeuXkhJ/MozELeUyVrZj5i/GOKazSI4XLJH9FZiweB3GLVyDed/sxKnSq7r8mrP3bre+deBtvo6ENiU9u+t8/VQ0FtMuvAVn68vLr2D//n3YunULtmzZgq0imzZtwv6DB1B5tSpZ//IliVxiaSd1OEHH23N6i07lurMVPxKI/vRY9lVUfz0pjSIN3EqFwlcx8c0sFKbBj1iqm4QLMk3Z8tgrDM+wlBS9o2utPunGbbqekiGM1bVWn3TjNl1PyRDG6lqrT3VjfrnCYyPi1sy/ze/M/r3xp4ShXynTetly4tbagt1n+evEoBA+EudKTulRsrcp20BjPU6fPoVt27Zj8+bN2LBhvcg6sb+N2LVrp7o1NtJiOhbasHtPcl+XTL+m4gWXxRYUzMSjjz6CO+/8/3DPPb/AvffdI3Iv3njrTcyZNxcVlZyOM2BoKWMdn7GPwP1M4sXN9C0hk5sNkx42k474NnqvzisWmXTEt9F7dV6xyKQjWqPP5JYJN/J/M73XjbZAO7C2YLrvzcOzO28Jzy57OBzEoYP70bt3L3Tq9CAefPBB/Pa3v8VvfvMoHnqoE5566nEMHjwIJ06ccGLoOGgz0utbbeIxyXjblXeLpaa6Gj16fI7/9t/+Frff/kM888zT6PxcZzz59FP41QP34/Enn8C06XlC/HIzJJBfVFfZxaX2jmkNzneomdkCt/PmFWMQ5l6B8eMV48cLM7drf2bah+LGZ+IyRuaNx4azupb3bXguaDE67zlmZxo2Xq/YvPPm3/cVGx/v6uiEr5R/QvbNgh9+zMRcsb47X4aVvDukE3QSijZUKbY0f/48IfeT+NGPbheyP4bXX38dL7/yMp57vjPefe/3mD49FxcvXpAwHQttRnq+cy4SDcuW0yksNpqJFIHUvMVnT+Ojj/6IO//jTgwaNBB79+3D/gP7sW3nDvT7qj9+fvddePa5Z1G0bAnqG3lDRsb3HCJIQccTTdJT4IM0LGSXnOniGmnLfrygL2+IdL/G8PmjD7tnf149aeDq3T37474x0PS47H663o3B6v8a0zDu6UjPx+8qSQjR2YM0eu7LWXC5Nlt0+fFuEG/5JnjbV23PhC4uPoMJE8YJ0bvg00//hKKixdizdw+279iB7Tu349jxo6iurkI8HpUkUlJs92jDMb0Uhh1P8Wm567xjKl37cEjGVFvw+7ffxBNPPokVK1dqBaE9AyH2vv370aPnF+j00AP4tPufcPbcaQ1nJ1fMBCHv5/NlCd42wLgbiDmwh6Bps7JJL0Tr3+q5f2OxcXmlJX+Z9JT08F5pyT09Dusvk56SHt4rLbmnx2H9ZdJT0sO7Iu62ONKz/PvCiZN2QHux5WvWepi78aYSkF6I6O37GCwOHT6AQUO+xiddP8KswnxUVJRpPNqDFGHlwQT82fvvAVM4fMusdPGbpMYl8QV1ddVYurQI77//B3z8ySc4cPCg6i0CwSAWLlqEBx58QCqFx3H4yCHHxYUWrsTPZbpJa1CxaE5648P6sf5t+HQD53GqzsSXKm48rrSkp6SH90pL7ulxWH+Z9JT08F5pyT09Dusvk56SHt4Vcfd6bRFeT165ARwvxq6crxAnF3jxNrCkb3w64PmzDA1Wr1mFLq+9gm6f/Qn79+92tOmQBkXslRVGR0Kbjumj0r2PRkKSkVxMy0IAyq6UYkZ+vhJ+2IjhOHXGtOQWgVAQS5ctwz333ouHHnoIhw8fVj0Nyna7Wtf9YnpGJKT+N3sujKHaisHjP4NOLc5HG8Gbr15pTR7TDkwrTnH3WV7e8DZOg3yxuZ/85A48/fTjWLxoPo4fO4ILMn4vPndOthdRW1ujFYgpezdcR0Dbdu8lE01N7HaXTp8+ja++HoC33/k9Jk6ZjDPFZ/VpOtO9AhqDASX93b/4Be677z7s37df9d8eNAAjSdLLodcsWkd6G4+PtoOb16nSmnymH7eMrDRvnd1y4xuTpkyZgn/+53/G3//d3+KB++8V8j+JF198QXqTT+DpZ55BfsEMhKTBYRjabEdC23XvlfRmgsVbmPv3H0CX11/Ds52fxey5c3C59LIZg2mhA1drqlE4Zw4efPghndE/cuSI6i28LX5rYWjPcN4zsXHRgKzBGWmu89G2cPO6udwMqf5tWTW3Cfe4Rmxq6NChuO2223D7D3+Ip556Qmfxn376KTz22GN6t2jGDJKed/jZS/XH9N8JXI2nb6yRrbc4uCii04OdJMOfxpatWxAIBFIK7PjJEzqD/6wQfuDgQbh0ucRxkWIUfxzTUb4t8X10TNBWzpw5g65du+KnP/0p+vfvj2PHjuHgwYPYs2cP9u3bhyNHj6CiokL9GnQs22q7Mb10t/SFlJ5uF4laVFSEu+66S++RnpfxFGdQ4zG3O7VoyWI88tijeKXLq1i9dg1q6vnclQuf9D6+DaLRKLZt24Y//OEP+N3vfoclS5Y4LsYefbQx6bn8li09wQwOBoOYNm0a7rzzTnzyySfJJY8xKZjq6mrs2bcXn3bvpvfpv+zXV1v59K/I+qT38W1Am1u6dCk++OADfPTRR7rk28LakNe+OiLajPR8Lj4oY6RwlO9KMbP5ly5dwsCBA3H77bfj7bffxsmTJ1FZWandrw0bNqBf/37o/Pxz+PDjj7Buw3ozNJDCYAXC8LZwLOk7ckH5aB1qa2uRm5uL9957T8f17Np7QRuKc42+2FdHRdu29HFp6aX7TpCoe/fuxfvvv49/+Id/wL/+679qF//NN9/EW2+9hY8//hifdP0Ew0eOwNbt27SwLLgIh8MAL9l90vtoDS5fvox33nkHnTp1wtSpU1FSUqIEp9heIxeFkfgdFW1GetKRq6N0yaQjvOc+fPhwPP/883oP/uGHH9bbcr/5zW/QvXt3zJ8/X++b2nkALr4xcZjCsaQnfNL7aA3KysrUttiwrF27FvX19Up4byPirQQ6ol21GelJVrby5uEHk6GNDQ1a07Jbz1nTHTt2YOfOnbrPLj7H9VxiSzDbGdaG9wnu47uAd5C4NuT48eOoqalRsltiW5vilvbpJX9HQpuSngTWVxA7LXVrwULQV1QL2fU74rJvYQvKh4/vAtphS7Zo3TqajbUZ6QntmjMjW5GJ6Zkt9TDXXWmLb0F3n/Q+vg/Y0mdq7Tsy2pb0QmROkvB+PTOXXSdOmFDPjLePy2YqAO/xzdx9+GgtvLZku/NeHaWjoc1Jz8URyWfhhfB2n1sue7QTKnYsZTM9WQAi1t1bIEl3Hz5uAq+t0JasndH2aJPW3euvI6FNSU94a1Obycx0kj4c5ks2zLP0rBy4n57pPM5Eeh8+Wgsv0b32yG0mm+toaHPSM0NtpnJrM99LZLvPbSZ44/Dh49vCaz+0MWtnvl0ZtDnpffjw8dcNn/Q+fHQw+KT34aODwSe9Dx8dDD7pffjoYPBJ78NHB4NPeh8+OhSA/x8ukDP2JHCzKwAAAABJRU5ErkJggg==)
It is also called basic proportionality theorem.