Linear Equation In Two Variables Solution of TS & AP Board Class 9 Mathematics
Exercise 6.3
Question 1.
Draw the graph of each of the following linear equations.
2y = -x + 1
Answer:For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
Question 2.Draw the graph of each of the following linear equations.
–x + y = 6
Answer:For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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1ZsiQbxDBRmDp1avY9J2VFaNP2UvZm2TL6TLxi/9Qo3wS+8+gtMLV8qmbLeWijr5YtS2MQnxfCGWfsb2vY3gg/DLHXnD4EHtdBfSiEFXHEMGVtJJZy18hXijYGMWsgK0O7KN+op2GFfjG8V5sVFW03jyzgBGE8uJJH+jQKL4suc9sk3cqDV4pn4KlFFqZkAUeEbSmpPsPk66ENmY8ZM6Z5wGJUHPQFekydgK1wYICscJktyhDWjPwnyHHlypVZnfjTSP1J0QZeOPuTbN2y5ZQcLN9E5xzKAQMpVmCPPPJINojhAmCswoYPH579Owyxr5d2iHfKP1l4oQx4vfLKK61kWIauhEfMs2UTfB9N0q2ytIvKmRMwyC7+1OJbndEB7Xp+lC1cuFC8CZqzB+3ZCY6wWog9aMNANceK0VijDZ769u2bKaj0sWgDVMws2ppv9HfBggXqrdmcxWmzTyh3+FRH3C+rTxgU+CyFhAeu4cFsf8CAAXXjlaJtzT4tnjHzg4Iiekz6QEZwjFqUn0WbBqDpV4o2kmUnT54s6mce2uiPNvvkigDygjzwh7sa4Av6Ad0cP358C1jw74EDB2Z8SR9LDvh9GXtL2TKiAZFULNm65SfQb+BhzdQ13yT1CSsubNWuX78+o4mnWHCTveYjgLU2sSxjb5Yto8+wR+l2/Ub5JvSfK1jNJl5++eUMs9GjR9ftI/LYRMqWJTnD92CHQsKq1RkZOqiN1PheOx9hPbHXh4HTVmOc1WrhnCnanLlYbRelzdmURZsz6vA3FlZUpHBGGNNnnyXDSuGRKifeUp9SdfOWa9uWElbEwzp7KyqHvFhbe/Zl8dJ0B99Td9E/Ju1ydo4J2rRp08TBO69+WavIRtgE+dJ029KfMn2K6WL1ikcxMZBhkoutRATV1GvHefWnjC1TB2IdzGNrlt6W8SF5fKplyyk88vAd626oW622Fi0jq8oqBCoEjgwCNPw3velN7j/+4z+ylQPu+7vhhhuODAMdqJXwPTGsOHB34tChQ5tXuh2oq1VXDiNQhd9XqlAh0E4IYPCaPXt2dm7D7bQpU6a4D33oQ9mZCVYQQ4YMaSfujr1msaINV2I4E0OI/VlnnZWdJVqrhGOvtxXHIQLVQFbpQ4VAOyGAsxNse8XbLAgEwZ/qkx8BbDXhLAzRiXxPDIMY8/Oq98TyY3ks/rLVQGblD6RybYqWs02tfiqnAcCXbVsTXqptrdzih/y2F88WXkX7S/xS+mPJ2DKgMnyVqRv2S+IvD21Lt6xEXEQlIlxca7coXmXtLSXjovpVxmYQko1b7JHKwO3E8CmWPHIq6n/K0tbwKkM35WOORdqUjySnGnNUaBR8HiQ+TENllGF5jr/Dg3mUMcZfSg5EOZ9x0Q50mcsTM5mijfaYt4AoL2n7wKLN5wzakm/2F7zE+FLBiCF+Gwc5hPUR+RWX49/M5YmdGeoSB4k28UJ9Ca88tIG3xjefpZBuvy+iW8QLOLJNKShEo4361FkpcIZYa7TxPeUY37idlzZlFNuMhVUoh9gmENEF2XGVEesYbRXlkhxIW3JmKXuzbBllaJN4xbZu0SbPxEiyCdpMHGLP98RwATAGsTlz5mRJ5Pw95M5cUUnnw7bb2t4sWw59KqIiQx+EMr7Mofkm+oAiPpW0JZ0mXqEvif2MZW/0xxLtlL2hHYl2yAuwanX7/bG4jKx4rhCoEDi+EYBjg8NFft2tt96a3WKPQQx3J5599tmtnmI5vtHq+L2v5X2PDFAwaVDKfcIIiVmPlheFGRZ+o+UBYVah5TSkaKMch+Va/olFGzMwGEQZvqWcB/QXdLX8NM70tXbBM/qjhU+Dvkabqy6NNmiiTMKLYbdFaTOMXHsQNH67jSbGHB6NZ67MUjKOVy9cNeFvrU8p2pSjxBt3ACzaoK/VhT1ouZWW3oa6IbVtyQH8QM5F7c2y5VDvJVu3bJmrYk0H4H/QV66ssZ141113OVz3hcCOSy+91M2aNavZa4fth++RSW6deZeNsDfLljkgS7JolG9C//kUioY138kram/oVxlbDuVMeUHuvBAgtvNWZ2RW/oCV55PKO0jR1XIpaHRW2/yNNu8oQztvv2Jg8/BbFM+8PFnzMK3tsrTzyFkabPLgleoPaGi0U1in5qxl8ErppVROHK0+5cGjKO0UXhYelj3m0Y88eDE6EcnXGMQuv/xyd/rpp6uQlNHrMnVT/os4SnJuq3aL2kQeHShKu4juWlhVUYspD1aVVwhUCBw1CGDFhHsckewcvieGFAaerRw1zFaMHDEEqoHsiEFdNVQhUCFQBgFsc+HuRLwIwJUYzsRwCTA+VZ5YGXSP7brVQHZsy6/ivkLguEEAgxgeHMV9e0x2rgax40b8ZkergazSgwqBCoGjHgEEdmAQwwXOyK1DsjMHsaOe+YrBhiNQQ9Jl+EGMvnQZJA71UIboHlztHx4EhvkhoBUfErIu9reRvyAdIoK2dOCZok2a2B8n7zFqFm3mkbUl3yFWMb5oJ8xbkQ50UQ6MwZuW1yLlp5E2c2Uk2oj64ZMpEl6ok6INHdD45ttvUv6SpVt8aj7WLfaJeWRsW5KxdYmpdn4S5rVItJkbBb4YVRe2zRw1yVJJm9tesc1YWIVyiA/U4cjD9+hiHaP+IYpYyyMDnkXszbJlYkUfEdu6ZcuhTYR5UdhOxJM1iE7EjR2IZrvwwgvdqaeemtk7MbXkAB8BmwAe1LNQXqG9trW9WbbMPgMvyFDLI9N8E/pCe67XpzKPTNJpRpaiXQkvfK/ZMsqYRybRTtmbRhv1mDvJtxTDPovh9wiblMJQrfB7AMqwbsmooWgMk4/LwRDKtScaLNroIMP6wbckUIs26lrh9xbfdFDS8w90qlZYNni1Qo1hxFoYO+oWCe0nXqAt4UUnYtG2nohBffAshV5TDlJiMpM7rTQI8G6lK0ghuzQs/K31iQ5do039kMqZlGzRRtta+L2GVcomwkdXtfB7izb1R4o6K2PL1HstvYMh1JacWQbbxHbi3Llzszwx9POaa67JLlMGnfBMzEqDQB85QEHvJR8BOTbC3qh/Gm2UM70jlgX6b+k8+oG6Voi89jSNRZt4ATMNL8uWeWFCGVuWxiDwRaxiH1KLByz8gPkL8YCDMjpCbTDSHhjE9/wjDXRsVxsEOaBoM18aSL20qWgW38BDKyffmhJadK0+oZ7WLvuq0UY9zLi0ciqENKCkaJOmhYcmZw0rGrOmWyin4dUrB9TlSsCShdU2y6T6eWiTf8me8uiWptPUOYkvYp3CS6LNQbSILYc+QqrPlbxUhu9QzjJEJyKwA4MYzsSwEsN2IvU2pJHSW/STjt/yEZqMObhLdVP2Ztky87m0XELrwdi8MpYmK+hHUR9BeyXvMSZ5bMKyN20Mog+Q2hXPyKz8AUmQVBKtLPW9lR+Qqpu3XNpGyct3Cg+Ndl7e6sU0Dz9F207RLkqX9RqFFWUpGW0j+1SWtla/LWyiKO0yfUrVhRPSnHaoWxjEbr75ZvfUU08139iB7UTNKXOA1PRz3IiBbsfOvab6arzDsfbu3UOtm+qz5WcsOZehm7K3PLRTtl7Gp+ahbfnFWA+qYI8UolV5hUCFQJsgsHf/QfeVO1a4VZv3uAMHD7mLpg10157Z8pkabJliELvpppta5IlhJYbzGmsXo3v3bm79tn3uicVb3YxJ/dzA3l3drx9f5x5auMXtPXDIXXbKIHf1gPxd2bRjn/ve/avd4rW73PgTerp3XzrS9ezmbzDytH7z9Hp35vh+btSg7vkJVr9sGALVQNYwaCvCFQIVAkTg8Ze3uq/cudwN798tc/4H/UD2owfXuKdf2eZuvHqM69uz6VwVT7EgsAMrMWwnhnli2ArTrrhr2lrs5m5+aJV7xQ88503p7374wGr3Y9/GxX7AxODzxd8sdRu373O/N3t4UjC79h1wn79pqVu+cY87dWxv99jLW9yS9bvc31w30fXq0cWt3rzXfee+Ve4Drxnrap18gEOSYvWDRiJQi5eYXKJLS89wGRwzZdXj0lpb/pepGy6hra2UVFlbl1tYpfBIlTcSr7K0U/pj6UDeLRjJIIq2G7ZpbbeU0V2tX0V5jqPBNFstw7O1VZfiO9Rf8LrRr2w+f8tSd+Lwnu5jb5rounT2nt9/Hvcrp7/8zotu4rBe7q2zhrktmzdlN3YsWLDAnXnmGe6iC2a5kaPHNYu7T59e/r87Z/+O+4x2Hn1pq7v7uY2+jQlZGzc/ud69zQ9av3vesKzO0AHd3E8fWuPOndzPTfJthjTCPoHWfc9vdk/5QfYff3+Kmzaqd7Yq+8j3F7pH/IB8uV/Zvfncoe5vfvKSm7dsuzt7bE+3T+Ap9k1H0qeW9SEh70fa3jT9Cn1qjGUNYcXhR1u+M2ySobVx5xDaaj1ex2dcMKuSBkGGfEt74Kgj1QMdHACibYRmkveYflHaoBOGuEoCZRhzHDgRhpNL9cCv5SwQ3srw+7g+Q4218wKLNsN1ESUo4ZWiTTlrTh80w5SGWLdQL8YK/eCTJmFIdViXT/FoOqbJATTCcGBJFinaqB8/s0E6eWjjt9KtE+CZIfKSTWjPD8Xh97ENU28t2pZNlLFl9JM+gpce3/3cJq8Th/zW3Gg/wOCZjt1+ZdXNnTW+r/un3z/RTRre2+31391++x3ZduKZ/gmWy6+61m0/2NO9sPLVVJ9DvmMYA4cP6O561Q5mNt8UNIBLv3tkA2M/v7LDIIWty3/+wxPd4D5dD6cTOXf62D7u9mc2uG27sH466FNcdjXDTnvFiq9Xrx5uz76DDu117dI06Hbr6qMDa50dtkfxGdC75k4Z09f9j9+6PHnkGN/n/VnKjPSxbJl6z/SOsL5mR/wN9UPzjZZNkLbkQ+hT0Q75k3yqZMttYW/aGES9BFatohaxfA8/YA5hrlL0Dven4zqoz/d+pDKUM0pFu3Edv0FdCdgUbSgf6Foh0Bpt5lMU4Rs8Ay/cXC05Z2Co0UWZdbt5ZjxG+D1w0mjjMB3ORLvdHOUIb9XCti3azOXQaINv3pwdK7+GFX4HusBEo8toOCukV5IDDQv1NbxStMmXxBtTUiza4EHTTQsr4KXpLXBg0ITWtkW7jL1Zthz6CNr6i6t2uhNH9nJD+vrQ94MHvG4e9PrXtLKa6c+yDh3c7x56+En32OOPuz4+R+6CC2a7fV36uH/42Yt+C2+P8+NH9vG7g667H1j++PLR7tKTB7bYZty8Y797esl2d+HUAdlvsSI7oV+3wyrYNBjd98Im58c3NzI712qpD8D6VUw7Zedp81fscD/0W5On+QEQW6OjB3Z35/sty6ZPJz+Q9XZz/Qpw/fYDbvTgPrG6t/i3ZsuM8JXk3CjfBMZAG4NUSnfaw960MYg+Ajy3GsjigQP/5p9YMvytNNhY9TKxG3RT5am6YX1Jm1J90vqb4ssqt7AqQ7dsXeJjybgReKT47sh4se+SPRXFOrTBtrbHlL2l7Cm2x7Vb92armabhpOVn9+5d/hmWBdm5GJzmlf7uxHHjJ3pH1cl95d1TzcEhLHxl3S63xP95x0UjxDrPLd/uz8zWuD+4cIQbeniAizEMZYFB86SRfqCatzE7a+vuV2SvOWNI9jc/Q/3AjBXbWh9gMmZIT5XXevGKbVTbeSkrJ0v3jnafGmNSBXvkNpXqhxUCFQJFEOjvt/uyDbloJMu2zjsdciNOGOhOPeUU17tPn8PJztKQZ7e8Zfd+v2I75Ab06tLqhwtW7XAf/f4id6EP+viDC+SBLq6Ewevnj6x1//muqVnEIlaVH/jvBW6/X02+bXYTDQR9+E2E7Pzs7An9ikBT1WkjBKqBrI2ArMhUCFQIyAiM8wPBAy9uys6mBvVu2vHBORm2DG97YbffPuzurr/qNa7zIYRMNH2Wrt/t/tUHiKzd4recDweHHPQDVTe/AnrHxSOz0P3w46n6ff7sfy0+GMQ+/N2FbroP2PiEDzTpdXhLMyWrl9bsdLP8NiIGMXxOHNHLD1Z93f0LtvjAlOFNRyC+MbTbFQd/1addEagGsnaFv2q8QqDjI3Dx9AHuF4+uyQItrvfRiT17Np1drd68z/37LUvcrBP7+9XNcOfjJdy+/U2B7IN8kAYiA3ftPegHjSaM/DiWBXtMHt7yXB9lCOrA9iXyyPjBYPTJn77szvKrpU++eWJdQIPW2q37/JmaD04iA37QAl9cWm7zq8A9+w65CUP1ZOm6Gq1+XBiBVgNZas9ea6lR+61oL0WbvynCW4p20XJtX5s8FqWbB48UbQuvVN0y5UV1q2yfy/AcykvSrzy0y+ildT5iWX0K6zzlRfmO9WuCX9W846KR7r/uWuG3/w76cHYfGOEHpe/cv8qfV3XNohnxQaQh+9vHb9vNOnFAxALWW/K247ghPbIBbuGqXT7gY6BDMvNf+e3EHX4gxNkWzsj2+cjJml/RTRza0/Xs3iVb7XXzSWBInI7xeI1P1P6nX73ivnX3SneGj658aNEW94IP/vj470xoHlhX+VwysHOC70MZWWj2mEe3LD9TRsapEaUM7aL9Yl+lPtcQERh+8G/pXjFURhkiSuI6qI/vtHBxlmsP35Emw2ljEBkqKl1tA75AlyH6Ulg4w/MlACza5NtKKwBtRB7FUTQWViEe2n12xFi7NJiRnJLC8fZ77d444EV5xXixTJJxiEeKb00OElahbmmvI4AfywA0OWQO0kdwWnilaFM/Jd7y0AYP0r2W1BEtv0jTW0Qjghfak2aPVh6ZZRNlbJmXToc8YUVz3cyhburofu7/+/Vif/a03oexH3AXTx/oPv2WSa53tybfsndvlo0lYgUMEXatXWjet2fXLLoQt3i8c85If3vIXp9k7VNz/OD4+ZuX+EESUY84Q6u5//uGcVnu2i8eXeu6+iXeuy4d1ZyiQXs7b1Jf99nrJ7t/89ubP/NnZYiA/OgbxrvTfaTiIW8/nXwU7FNLtrnTx/V1Q3woPrZKO3dufT5Hm8Hfki0zVUbyfY3yTeCFtCXdoU+Fblv2KNlyW9ibNgbRXoBVq6jFuCO8SDIedNA5Go/0PAMHEqnjdFSgif+WDFfLa2BdbaBiGDtBlwZLi3YevikwjW/QCAfJsL+aolAoFl6kGbeLf2s5Jpac6FBRX8MrRZu5HNJzF2ybg2vMN3mWUhXADwdRKdmVgw3qWvojDRic6FiyAO8SbRo1B0Jp4LdkwTZ5IS6xCbGSbIIyYr/DCQsHMvIS9ysP7bI2Idky2g3lyH6B3+3+PbExfQ65b/zJSYe78uq5EgfO/fubJsoxVlyxgGfIqLVvQspHzZ3vtygfeWmLD5Xf4s6Z1N99470nmwsLBGgs27A7+w3ywDjwN+lCpywR+svvntaCxoHM1p1b67dFF/kAkPddPdZ18QErO3fvEW8doS+QbDm0VTpvypRl+F56ioflvCw5r28KsbR8Ki8rxt/SRF6zZQ5kGu0QD8uW6ddDewEW9BGxjtSkPALtOQwqmZRPA7DRkJYHhA6gce2KGTBs5TRYtK28KAKh0WZCaxm+UTde7bG/qTwy65kX5J5oN4iDfiqPTKMNmiiTyiHjMrSBN2SsXQwrYcVZa548Mu3JCtDQaPNpkVQemUab+YCSjuShDd60fBwLK9RD8rP0CXM9LbvR5GDJuKwtoz74Ztu4OxE3duBJlhEjhrvzzj3PjRiJyL+mbULmu9E5WblLmm8Cnak+XP7q0we7nz+6zo0firy1V7f8NmxYn03+hg1rup5q556D7nm/VThxWNP5Vrdu3dXVHmwCq4BsNehzMHHd1XfvX+FOHtPHTR7W06/29ql5mZSdZsvMI5PkDN8EDNvaN3GwseyNubmaLFL2VtaWJTnzpQhgFfvbVmdk2nYEGJdGfQrKqse6Wn3WpRONDTdFOy9vcedTfNVTHtO2sKqHruTEUnikyi28UnXLlIczXknGosc+/GVePIvK2Gq7LF4a7RSWnLFqfUrh1Sh7s/n2EyEfbM9Iw/AWezjHyZMnu57ZJQytz7pSeKR8EyYVl5862Adf9HLdcQFi8Nm+fUc2GHEgq/ldwIumDcjufkzZI9rFRJpOHQEn2Bad4s/kcOa218enFPWNrCf5vjJ4hH0qYhON9qlFdNfCqopaTHmwqrxC4AgjgLOgzZs3uz4+r8q6QeUIs2U2t3njev/syi3utrsfdMtXrnaXXTjTXXLRbLdi9ZrsZWf0AxcAn3POOeZVdkX7BCeHmyp6+0ESZ2Xxh1tw/B5RiQytz9NmOBhgkD5nYpU3lge3I/WbaiA7UkhX7VQI5EBg3bp17l/+5V/cvffe6y6++GL3wQ9+0A0Z0vKpkxxkjuhPXl70ovvzv/iwm7tgj3NjL/BRDZPco796yX35Oz93M6aN8oPXTDfnkkvceeedl51xYGXUiE9q1d6INiuaRwcC1UB2dMih4qJCIEPgm9/8phs8eHD2MvLXvvY198Mf/tC9733vO2rR2bZ1s/urj3/K3bZymOt9wdtczW8f4nOo0yy3cc0Md9vD/+quvKxpEMPHigA+ajtZMXbUI9BqILOeXteetkYvpSi2sPcWXSzby9C2niEnb9I+Mcu0tACWa6HmLJci5az+5G1XO6jnU+CadqXatvAqS9t6ARhlElYpGeUt12jzqfmieFE/pfp5aFvtxjIGPbSHA238wQpNa1frL/GyAj3K2Fso42eeesLd8sRK13v2x11XH5zk/KXACKHv5PPFeo4+021Yfolb8JIPfz+ANJWmICBt5VTGh6T0VgsVJ7aW3qZop+wtZROQt+SfUK8Rvon6YU0q8vjURtmbNlYQZ9HfvvDCCy3shOH3ErAo27Fjh7/ks2UdEGD+iOb0AVpTWKt8nYuVg5aijQPlbdu2ZVFR0seiDaOyXp0tyjfqaVjlxYu3stfbpxReW3woNA6vtSi9MrKw8LLogh8Lr6JyAHaQMSPAJCxTtLdv3+4WLlwoRmLmoY02Jbtgu7ALBBKMGTPGve1tb3M/+tGP3Nvf/vbsPOmtb31rdvazfPny5mdLENG1bNmy7BxtyZIl2RMz8SfVp7IyzvrjB6tbbrvTdRsyxXXu6c+l9od8+MFs/27Xa9TJ7rfz7nT33T3XjRk/KesLMJPwSOmt5ZvQf6tPOHcEJmhfsydOItra3vhCguRT0WfwJvnURvmmPDYBfwo84FvrxSOPTaTGAkkWFla1gQNb3lkGQSO6SBpwUAajieugo8w30Jwjk9ikWSI6jnLUlYSdog2+YNwDBgwQQUd5UdoW32hMo416UFAJKxodBGPhxdDcuFPESwuNZb6fRht8IZBACvktS5tPLUiOypIDeEK5hhfzqbRVhkWbuScaXinaGMj69esnhtDnoQ35SWknxIozfuj+Qw895Pr27ete+9rXZrY2b968bIDr379/5qi5OoTsIF/8VkqjsORQ1t5AG/1BXGAP/w7YwU7+deb4kkN0Gi8n+0TkTr68v8cPfeAzQJJuMqdSS9GxfFNKb1EO+pp+gba2EkjRTtmbJQsuDuC7Yt+X8ntFfRP9Ndq2bAJ4WHhpPjWPTVi7HJqcLaxqw4Y1vZ7KDx410/KPUIZZYFyHIzxzLaTRBM7CWt5b7aYUCbMHGLTEF3ixaHMwsgRahG/0d9OmTSpPTBy1jNbK4bD6BEUCfY32hg0bsnMYOBbpU4a2NaBYdDFYYEWmyZBOXFvxp2Rslador1271g0dOtS0C81mQBsfaQCOsVq/fn32nMnrXve6LMLvnnvucd/61rfcRRdd1CrgY9CgQVkkIP6WPpYcUjaRsjfoNrd5Zp93tvvH797rOvstxS6d/fmYz6nKPrj4oEt3d3DjIjfjnOFu+qmnue49ml5l1vwEdBbl2mSlrIybwu9b+rs8fi+FV8reIAvNltFnyH348Kb8tvhj1S3jU1N9wsQSA1Uj8ErZmyZn4Kxh1eqMjLMAbStE298Gc9aeK2db2sOaVGJtS9OijQ5ae8llaFt8Qxk4IMUrWNYTtdN/yVmcNtiArrZVQsOxaFsDGZf+Uv2ytMm31C8NK+JoRZ2llD9FO6WbTGCXMLHwor1YstAGshgrzH6nT5/uHnjggczxIXIRqzHtQU8LL0sO7I+UuwRe67HliZNOdNNOOOCeevrHru9pv+Nq3V4Nfd+46EHXe+2D7vXX/FU2iKVo02a0gczyTSm9zeMjGmVvli2zz5Is6pGDpH+WTaRo58GLlwHEbeexCcveNDkTK6ndKmpR80DV9xUCRxgBTB5vuOEG95nPfMb98z//czaoffjDH1Zn80eYvRbNYUKKVfTjTz7jzpo+yW367b1u6QOr3L4BJ7qu3Xu5vZuWuzH7nnd/+d7Xu8uuvLo9Wa3aPg4QqAay40DIVRePHQSwRYmB7Gj+YLWN7ek77rjDPfnkk27CpMnuX/yZ3ovPz3MLFi12q9esd5Omj3Bv+p2PuYvmXHo0d6XirYMgUA1kHUSQVTc6HgKpM6H26jHOyW+99VY3f/78bNvzwgsvdLNmzXLu9W/wLB1yjz7yiJsx89z2Yq9q9zhEoBbvs/N+L2n/PbzrKsbKqoffpuiyXJKBVTc8U9PODIrSTvFtlVtYlaFbtm6IrybjRuGV0hH2TdOBVLnGd6rdlKxCzIvovcZ3yiaYIhGfG+e51zNFu14Zs02EYyNZ+9lnn80GsSuuuKI52ZnnPD16+q3Fw5GN9eCVR05FZNweeMV2ZvFdRD/K+oG8PrUIb3nkWMSWQzuNfVcN0SnhB7NAKa8KyoAyHMTFdVCfz3tokwHUxRkAo7hiQaMcHy3YQ6qH34Mm2kZ0D3mPeShKG3RQF4EcWvsoB6hxsIeFFejyHSJt8EXotXX4jP5qSd4WbfYF/El4QfYWbcpZ4xs0wbf0ZIqGVahb6LdEmzxpQRsabWCNOtpbdyhP0UZ98CU9O5GHNtqQgpHAM5/pkBw++YrljNB74ox6kj2maFs2IdkytxMRVfn0009nEZy4Quu0007L8GP/eAUVeJICfqAbmi1Rb7XALc03EV9Nb+EjQBv9ol1KPgKylAJNUjZRxpbBM31qLGfNjsg7+1uvb0J90pZ8CH0q/Z9kc420N03O1EvoVqv3yOInIOBEwiciQoFzgJOejeB7TdqTEoxS0aIW0Q7qSsCmaEP5QFcLgUafNNoQKBSxCN/gGbQxM5Xe2OLzH9LgjjLgaV0Kiz5phgWcUs+4aLRBE1FxEl7gyaLNPCCLbz7LITlnCSsO7HmefrCe+NBowxAhn9QzLhpt8qVFD6Zoo3+ablpYWXoLXqkb1jMu0mDCiUJee4M+IIke6QDIa0PbV155pZs9e3ar9wXpI4CVZOuWLfMZF8uOLd9k6S3f9LL0J8Q09ntl7A20NFtmrqgki0b5Jg5kGAgtHwLM2sPetDGI+XjgudVAJm1b4DtpQOF3WplWD8CxTFtFWOVl6qbabhRtC6sUT6nysjyH9OPBpiztonLsyHgR77bEOrSjtrbHWIbI08SZGFdiOBPD3YmSzMLv6uWrjA60l96mbDVVbuF1LPepEWOBhVUV7CEtl6rvKgQqBDIE+CjmU0891bwSO+OMM9Rt7Qq2CoH2QKAayNoD9arNCoGjHAFsK/FRTKzEsMWE20awEuP2snWZ9lHevYq9DoZANZB1MIFW3akQKIsABrE1a9ZkZ2IcxHAmxu1E65Ltsm1X9SsEiiDQaiBL7W1qjVj1rDOZ1B5yqm6eTqf6pJ3b5Wk7dZ7YSLyK0ma/pPpl5JjCKyUHS5Zl+CpTlzylznYtWRSRU57zkaJ4pWgjTwwh9s8//3wWpIJB7Pzzz29uLo8ci+Bl2WEZ3TpafURoh9Z5YhH96Yh4WWeotThMWruIEkRQhoiS+B5BljGUOA6fZjkj4qTwatSVQqRTtBG9wnvWtPsNLdoMQ2VUU6g0efmO3yMKsZLC0EO60htMLMffUv4JvmP0V6zkrMtQYkkWwIth0HF5Wdphf2Palm5RdpIMQzykEHhgYF2gytu4LVmgDYk2ZYC6Em95aIM/RuSFA6OFFe1MsgnoKu/qZN8lveV3moxD2ugneER04i233JLliWEQu8S/7DxjxozmO0Utm0AZ7zXliwJh25YthzYTY0WnDJraO1mWHOgj6Cfi8H62Tfk3wiYkWw77zJvs2TbKGuGbiCVpSzqdwitlb9ABzV6K2nKMVawjrQYydlAKJ6fxcECLjZJ1iwxkWl4DO6DRZhg7L+aUclAs2nTocZ9C47EGYIl2aOyW8+SgoeFlDWRajkncdkybxsp+x3jRgVp8W4NkmNMSt11Et0I5aIMNfqPRRhkH7qIDWegk4z7loa0NZBZWoRzi2ToHMvIS94tO0BrIYr3FhArXTjHZGWdil19+uTv77LObn2hK2QQHMuJF/c3jJ/IMZOCZTjaewFlygI/gRbSgEedFES9rICtqb9akNLbVcCIVDmSab6I/jnEmNkX9XgqvlL3RF1s+tV5bjrGCvENbrEl5BJiJSe+RoaKW6wPjAuNafhFnfNpt7wDHyoexaFt5URSqRpsJrWX4Rt3Y2bC/WrscgLWcGfCN3BPpQB1yAP1UHplGGzRRJpWXpQ2+IWPtBnMJq3CGp8mBj4xqb6yBhkabt2Wn8sg02swHlHjLQxu8afk4FlaoJ70Zh+/DfCrLbqxXosN6CLHHmRi3Ey+77LLs+RjpY9kyfQRoS7Zu+QnOsq3cJcs3Wfl8efPIGmFvli0zj0ySMyeMbe2bwA9oW3mbzG+0npKy7C1PTqhly5Kc+V4csIr9baszMmkrS5vZhUpu1cPvUnRZHjOYqlsPb0Vo5+1XTFvaPm1rvEQvk8A6hVfe/hZpOyVjjSZ1IFXOQTj+XZ4+WbSt9svQLmsTefCQfsN2iRe2E5EnhhB7OJA5c+a4mTNnquRTfBfFKw+Wml2l6uaRb1Haqbbz4iX5EMuP5G23iN/Li1cR2kV9I+tJdl5FLaYkVpVXCHRQBOCEEGLPQQyzb9ydiDMx7ZqoDgpF1a1jHIFqIDvGBVixXyFQBAFsHWEl9pvf/CZbifHaKUYn4m7J6lMhcKwgUA1kx4qkKj4rBNoIAazENm7c6O6+++4WeWIYxHio3kZNVWQqBI4IAh0mj0zaqyWCKNPKrTLUL1pu8VOGbtm6ISaShhXtb1msOzJemiXn0UtLby0PYdFGYMedd96ZXQBcb55YSv/IbxF7K6MD7aW3KTxS5RZex3KfivpjCy8Lq1q8hZB6agN75/xN6LyYN4DG4sM8fId2GNYpHfZpz0pwhohQUok2nyVBHkb4nERo5BbtMES1rfhmf4GVtEWDcvAaHl6G/LK+FuaOeuiTpCz4DljwjCPuE/ACXdSX8MpDm+HLEl58XkTKyyuiW1Rs9jcOuyVu1rMS1jMcwMuijXLKUcozy0MbPMYH82wX+idhFcohljOixfj8B2jHOqbRRjubNm3KXnbmjR24APjMM89stumUvVm2jDLoBvFiTlkePxHahBTEwD5pt4pYcoDc+IyLpPMhbSmvM49NaPZm2TL7jLp8moQ2hTLoBnP9NFujPdfrU0lb0ml8x5QOy6eiTSm6nZHgWl5mEVsO/RqwapVHFoebonEp6RCEyLTEPOtJZVBkhplqYf1sU3LODFW32iV/Un2Ldh6++RtpBqzVJ67afXRWn4iX1i5DvjXalpw4y0NdhrSH/UrRZpuanIm1Jiu2Gw/cIV6SUaI81MFYFla7+K2k06SRoh3qr8Rbijbbl3jWZIx2aDOaTvN7SQ9ivcS/+SjmM88803x3IgI7qIvkL49NSHIM+6eVW3pP55TSLam/1A0LC/yGsq5HFimbsOwtZcusK/GVR6eL+Cbqo1aXfiHlNy0dsPhK2RvrxrIMfUSsI7U4lh8jNQ5+JWXCb/G9FP/PxrXcAM6ktDwyjOJazgKB1WijXHvXCUJjn6SBiKAW5Zu0Y2dD5bdyJfAbrRx4WHlkVl3OjIvgBQdahjb41nKjNKwgF9ShHCU5MeRW65NFm6s4rW6KNnVe0t08tNEfqW0Lq5TeEq+8tLmd+Nxzz2X5dsgR43timlMvYhOcpaOuhFfKllE/JWPJN6X0Fist7eHMEGtpIEzRTtmbZcscVCTf1yjfxMFV0x2WAzMtD7GR9qaNQZysAKvY31Z5ZN5wGpGrUTRXgk7FyhGxylA/Vc7faANGW+Bh0ZZWGHnwkmjGeGm0U32yaJfFS6OdR8YcZGMaefDibzCI4dqpJ598MpssIsT+9NNPV8+NU/qT4rsoXmXbLSPjVJ9StIuWs54k5zJ4hH6giE1YMixLux7dDfXewqqKWkx5sKq8QuAYRQArou3bt7cYxHiLPc5etEHyGO1uxfZxjEA1kB3Hwq+63nERwPYcQuwRnRiuxBhiH9832HGRqHp2PCBQDWTHg5SrPh53COApFiQ740yM24mzZs0SI3+PO3CqDnc4BKqBrMOJtOrQ8Y5AGJ2IwA6ciXEldrxjU/W/YyJQ27FjR4ueISeFNyOHBWE+RFwHv0PeQZw3EtZH7gCicKSnNLBXzzwg6WCST45Ih4SkiXwH8C7dEYfvtfMAizb4B1+IkpL4RjnbjCOpUA94SFihHs8otDvtQBdtSlFDzJnRVNKiDT7RZ/An4ZWiTTlrfIOuxreGFfN4gBdyRCQ5Q77MrZH6rdHGb5nXouGVok2+0H7MWx7a5CFuH1hBVlJ0H20CdWKbwO3fzNdDOXUMdLCdeNdddzVfO4XoRAR2hPlAKXsrY8vQC+Il2Yxlb9RbbdtT803AwNJb+AjmkdEuY1mANnhra3ujj9BsgvmAkGEsZ+a4asER1Nt6fRN40p6lQVnopy28GJkdY5nHJlK2LI1B1Etg1Sr8Pn4iAKBhKyIOQ0XDDKGXnhWAAgCcIk8OUFDaswAEXaINvtA2zgRwS4EkdHxXhDadiJZygHLQlp4cYM6KhgfzaaxnXLQwdsgB9IvQJl+QsYRXijbDmIvwbWEFRwNM0CdJhnnCtrUnPmAUqF/0iRjyJfGWhzb0REstAZ7aQGbpLXhhPfw388TwFAsexUR7V111lcN2IsrCiUfK3srYcugjpH5Ztsw8MusZF8k3cSDTbALfh8+4aD4CPkQbyIraG528ZsvM1ZL8EwdWy6cW8U0cyKjX8UBEnwqegbeGV6PsTRuD+IwL9T3kuxaPbIzVl3I1OGOQysIkOmnmi7qkHZdztUQaErBaXQ42pC+t6FhXKsvDt5Xcp+FlYRXyLGEZDqCpcglr1AGmVt08eNUrx1S/8ugW+SqiA5qcQv0q0qdYx0IaeWjj95o9WTyznhg+ffCA27t7Z8YKaGCWGj7Fghs7zjvvPPESg5S95bEJyx5D/a1HjnlsJo8tWjK29Kso7Tz2ptGmXki+L48c8vBcxl8XwSuPTaT8udSvUD/iPlVnZJLWV99VCLQzAjDavn37tuJi1aqV7jc3/9r97H9ucgsWLXGf+tuPu+nTprpOtR4ON3ZgVYEzMVw7pU1k2rlrVfMVAm2OQDWQtTmkFcEKgXII3Hzzze4HP/iBO/HEE92NN97oBgwYkBFc+OIC9/G//ZT76eNbXNfhZ7juYy90f/vLRa7/9+92Z4/v6S65+CJ36aWXZYEdPE+oBrNysqhqHxsIVAPZsSGnisvjBIH77rvP/fa3v3VIXN6wYYP7xS9+4d75zne6vXt2u89+9rPux890dgMu+AvXrdcgj8gB12PKZW732kXukSe+6OZceCA7E8OHlxEfJ7BV3TzOEWg1kPGiUgkX7cJN/Da+eDSub9FlAIJ0FpCHdmq/PsW3dL8a+bf4Jm/SrNdqk/W0/rJc44sHxJruWv1BHQuvsrRT+qOtELTz0VAOKbw02nlkaNGmfmo2kdIfS05hXQS8vPjii+7ss892OOMKo+ge/O197q75W13Pk//AdevZ1x3au7WZbPch4922ia939z10X/N3jbQ3izblqGFi+QkGe+TFK/xdSm/z6Fej7C1lE9o5VB69TeleUZvI41OL0s7jG6V+sZ7Ubg3POoQfhFvycuBYoRhaHdfhDBCGp0WzIVQUDGgRWiiXLoPMQ5sh8tployjXaCPqDNswRfgGbxpe6A/oSlihHsoQ4aVFaIEusJIEinpwehrPKdqoi1wjKRqpLG3wrV02aukWghXAl4YXn7PQLp22aKf6lKJNviS889CGvCXdJFaQMfVg/fr17oknnnDf/va3M/l+8pOfdCeccIJ75NFH3eoDJ7h+A4a6Q/v3tDTNAz5NY9Akt3zR/7oX5s9zw0eOzvQSdKUoPMi9jL1Ztgw8oH9YTWpRi5qfQD3wZtmx5ptScoB+WfbYSHuzaIMn/EHaRDyZapRvgvKkaDMdQbPHRtqbRptYQbdaBXusWLGihVEwnFiaoaIMShzXAQEoIENvpRkV6lqjvJQ3QDop2sg9Yh6Z1rY2c0nRzsO3NNuzsAKPvDVd48uSQ4rnFG0oKZQBg1n8KUs7pT/azBhKCgWWdIt44W9tFlgWL4s2dGvt2rXipCIPXhpt8ozygQMHuqFDh7oFCxa4yZMnuy9+8Yvupz/9qfve977nPvWpTzXlMXY6BEPDkjoSW9O/d+3c4davW+d8vKrb639vrULK2JtlE8ADA//q1atFWVl4MUWgETJmnqGmX2X1B/0qYsscgFeuXFm3LRb1TXn8NXO1IEvNp2r6VcYmOMhKtEOs4vGpdsopp7TgE85Em+mjDFsfcR06GhibtsJgnpAmbKtdzvI02gsXLnT9+vVzw4YNE0G3aNPw2ppv9PeFF14QsQKTmJVaz6XAeWL2qW15WX2CguOPNrOdP3++GzVqlOvfv3/deKVog+/wiZGwAYtnXG77yiuvqHhBt4CF9qyERRs8WOUp2sjLmjJlimkX1uoY7UurkxgrONtp06a5M844I4Nt/Pjx2YW/mKhdftnl7ru3fd4t27bB9Rw0yivQ7iZoMah18hcNrF/kpowb7i64+JLsa0sOKTxS9payZTzaefLJJ6u7CZqfgE3AHq1Vt5W/aMkYAxj4njBhgqrz2q5NCq88NqHZMvqMa8Qkn9oo38SBDDqi4bl48eLMf8BPSJ9G2ptGGzjjVfNTTz21FUutzsgoFGnAQZm0HcVRVMvIZzn+luiCJmlrK0GLNmcAIuL+yzK02a4125Iy3C2siId2O0aIp5agmcI6hZdWzpsZLCxTbWu5Lahn3Qag6RbxsAayFO0UzxZt6qeECe3FwksbyLgK4AoEiZ6IUFy6dGlGDkY7ePDgzNmcOHWamzJov1v4/C9d15nvdl1q/k2mQx5PP4jtXPOC6/rSz92N//qRZjZi2iF/Ze3NsgnuBmgrPgsv2oz1ZqFGN6W3KG8ve2OfJVtmn5l7Fcopr27V65vy+Os8eFm2XMbetDGIWEntVlGLmgeqvq8QaAcErrvuOvf1r3/dzZkzJ5sNf/rTn85WEnPvvsedOGWyW7rifvfKA//gdg+d4VyP/q7r9iVu8JZn3Af+z5vca15zbTtwXDVZIdD+CFQDWfvLoOKgQqAZAazA/viP/9hdffXV2VY5Vmi//vWvswCQAQMGun/+3Kfdzu1b3de/+zP3zLwX3Hvecb177dXvcCefdoY/k+pyVCBprXyOCgYrJjocAtVA1uFEWnXoWEcAgR/4g7MxDmI4v8Eqbfbs2Vn3duzc7Xp12e/+70c/7M/IOh81Xe7sz+xGDOmvns9ajHbujDsR9cG4d89uzt8yetT0tWLk6EGg1UCm5TSA5VSuTdFytqnVt3gilGXb1kSSatu6i8wSc1G6lEPR/qbwKsNXireiupWimyov2ydL9/PQLqJb27Ztc7/61a+yczKckeHaKSY7g16XWjfXpWs3dRBrihDu5A4cPOTueX6T/9u5S08e6Lr478raW9znecu2ux7dOrvJw3plwSfzNg9wP3t+mRvSr6u75vQhrn+vV92MhVdX358HFmx2j7281fXpUXNXnzHYjRzYPYPvmaXbXe/uXdykYV1FOPPIoajNNJq2pl+NbrcoHo22t5RPlfiuIVIq/CBiRLpwFpVRhm0D/iZ0iohEQgQOfhcf2uM7tINDSS0IAjQlgaKuRRs00S7OEcKnKuI+abR5G3db8s3+AqsYX/IBXomThhewwgFxXI5/Ay9JoPgOWHB7J66LwALQRfsSXnlo8yBX4ht88VaJuNzSLfIS6xbxYn8ZTBB7M402foc6fPIirke9xt8SbX4POQK7uE95aKNN1Avrst0YK0SKIXfn9ttvd4j+w0rsggsucGeddVaz3SEoZFf2XM7+rDuxjpF2t1pnt2rbAffJn77kdu096L7wRye586b09b9vevKoiL1Rt2ve7rp2rbnnV+x0X7trhbthzsiM3k8eWuN+9fh6N6x/V3fP/E3uxZU73YdeO8716OJ1bt+BTDdiP1Hr4vNLfb9/8cg69/W5K9yUEb3ctl0H3P0LNrm/fuMEN3l4L7dq0x5357yN7gOvGetGDujq+98yl86SA3wEn3HB33EgQujb2treiJdkyyij3mP1HeoXyujXNN8Enac9S4FSlk8lbUmngRefhpHwgpwte0NfUU+inbI3jXbo14BVnDzf6vZ7RpzFuRxNM7ymLYyYQZaxruTgQroS6CyPnXMe2hzBtfyTMrSL8B1jJTlPYqgJ22qXEw2pv5acKDsLrzy0+Zt65WzpFuVu4cG+WfqT0gFNFhrtkC+JN2JaryxiveagsmXLFnfbbbdlFwDzZeeZM2dmExo4iJCf8L/DfuH7Wq2Lzyfr5G57ZoObMry3q3Xp5H79xHo/kPXLztJim0AUP1drNb9qO+i3+GrY5vNpawcRVexXduQRdbt6+tt3H3A/eGC1O21sH3f6uL5u4eqd7ht3r3QfuGasu+r0wW7Fxj3uo99b6O56bpO79vQBvs2mFxliP9HJb40u8nV/8sga90d+QPzdc5vSaN77X8+7nz281n30DeMzeo8t3uppbXS/P2uYmKOmRctS3zW9T/mYPDYh+cUQL8k3xrYaD2SWD0jxHOplGZ8a8hjqmGbLnLSlxoJ6bdnCCm3W4vwpGAu+kwwTozi+l/KTyLiWu8RkaSu0VstpSNHG6Ay6RWjz2pMyfEv5JwwR1fLTAL6VRwY5gCctXQF1NdoQOuvHjpsKDtraLStlaKNd7e0llEHGsWGBJ97YoMmB4clauUWbKy3rnSvwpNGG/qGuVJ6HNvsXyyLGCrl0eBQT24loD49iYjVGWwzDt8NcPalf3fxqacvO/X4Vs8Fdceogh9XZLx9d69Zs2e9XS90z/Yjtbfueg24/9iAdtgL9ILan6TyqR9fOrkf3V8+m0Oce3Wru6eU+r9SvuN5+0Yjsd9j+w1bgmROabu0fNai7O2VMH/fQws3ZQNS9ey3TZ8mHPPryBndC327uNX4rctOOfa6rX6V99vrJbueeA82wXTJ9oPvanSvcnOmD3GhPO/xwxavJmO+RaT4Cvk1764zpPUXtzbJl2qPk+xrlm9Am/Yqm83wnL+VTJVvmblAZW5bGIA5mkg9pdUYWb4HEyiI5Ro7CVh5Qii7LJWCsuuQnT9tFaKfa1vi2+GkrvIrKgu1L9fP2t0jbKRlrNC1+Q/lzsIvp5OmT1XZZvPJghTMxvCf25JNPZgPm5ZdfniVGayvMlH4hAOTF1bvc+q173fkn9verrc7uxw+ucQ8v3OJef84JzVudtInNfvD4+18udk8v2e5XW52zkApcInLA/9/vzR7ufv+CEc4v1LIPAjqwQHvCn2WNGNjNjR3cI/t+zeY9bqQfYPp0fzX4pEe3Tu6lNXvdjt373YDeXVttsTZh67Ktw737Drrv3r/K/c9j69xeP6D+gW/zjy5u2rLEZ+rI3m7v/oPuhRXb1YEsD9b16n0e/cnjf7R2qV+xf2qrdo+k32NfUnikbF2qz+8kO6+iFlMerCqvEGggApjxYiUWDmII7MBTLDhn0AbnFEvYDrxz3iY3Y1I/d9KI3tnPTx3bO9tqvOK0QdmKJ/z079XV/d3vTsqCQuJPt5o/VgiCBXE2tnPvIffoS1vcRB/ggdUePn6hlt2ixW1IDlIY9Jo2JuXP/gOH3KrNe93tz27MePvxB07zg99O94kfv5Rtd/7hhU0rvr4+AGS0HzSXrI/umkyBUZV3eASqgazDi7jq4NGKAAYxBHbceeedWZ4YV2KITsQsmttdRfjHwHDLU+uz7b0v/mZZNpAs37DHDxC73CvrdrtpI/wT9gFhnJH17JYvDw287dl/wG3cvs/NmPxqFKEPZ2l9DaRvA99j1aV9sOrbt/+Qu8ZHKV43s+l8DGduV5w22N369Hr35nOHZrx19QNqPx8BuXjdTj9o4rytCsUvohsdsU6HCb+3hMNDXuk3Vhl+X7RcWs6H7RelW4anuP0jiUeK746Ml6abuLT5N7/5TfOZGEPsiUVKby2df8yvlrr7s60xg3q4dduaLn4dd0LPLCDj6SXb3LRRvVtkZCFw49v3rHQL/UoIUYTcWsTK7kp/xnbVGUNe/X1wabEP5m9mAyHzS/1g6a2m+TuUI2weqzrtg0CUgb1rbl+0HBzsvwNfO33EZTjI4mfxuJiyp5TzTmFt6Weq7RRt2kbMYxm6eewtZXNHq0+V+K4hlDH8ICxXus8MlVkW10F9vkir7Y3yWQktwIDhnBKTDNnVotUYSsr0gFgA4FvborFogw5DXLWDS96qHZ9loB5wlLACXW4babcggC4w1e5aRNiu9rFog0/wBfoI447bZxizRpty1vhGvzW+NaxC3aKs4vYZPg95SR+NNn7LcGCtTynalCP4jHUwD23ywPa5EotD7M8888zmsGa0o4XI9+rVK/sdw8ipY6iDbb+az8e624e+z/Tbip/xARPhB4GItz69wV3pVzsD/NHWrj17D0/WuroJQ3tm+WDYzsMHqygMGEP7d3P7/DYnL/Wt+a3E7l1qWX4YVmVNv+rkxvv6v358nVu5aa87qWctWzWt9OdmCJ/v7QM98AF/0J3QLnr16pmdf93hA1N2+OAODHz4rN26z/X3dHr5czZ3yD8P4+M+UI7tTOyM7t69K2sDH0tvofMMv7d8RPj+W4hZyibK2DJ0D3LEbfOx72NqkOZTqbf1+ib0jbQlmwBeDL+38LLuWtRuzUd7KXvTxiD6Ht7MH/Jei0FAB7VoOUZKScBxK8SKKkOkjFQOQTGyRxrIODPR2gXwjLKRhM4+SbRRF98X4ZsKIb2RhP5oEZ5NTqIpr0hrlzxrA5kV8UjDtvBilGeMFy8L1fgCbatfzJfR3qKSsGpycF3V9+rYH0tOxEsKjmDuohWZatHOws2VqNg8tME/2wYtrMSwnYg8MUwmsBI799xzm0PsqR+W3kIv2NewX9hue/zlbe6Rl7a6D/v8rfgz66QBWZ4Xko6vOHVgc+QrwvVfc+YQya81DxRs7+DBA66XH2zOntjfvbjKv/PltwWx7TdjYj83uG9X9193r3B/ee04d7cPlV+xcbd75yUjsy3HfT5QY48/D+vlB9ouPq8s/Fw4bUAWWv+de1e5N80c6p7yofa/fmKd+5PLR/vVGAbBQ34Q2++Wrd/tLp46MKvaFInYRMXSW8gWeOE3jF6MO9ooewt9hPY2HO0p9k+SfEO+OZCkfIhkExZt8MG37FJ4NcLerDGIWMXtemxb7i5yQJAYRBmVQtN47ZkNPhKplWO01UI92ZZWl+H52i3Q7JPEM2fZRfkm7VgJ0RcLKxqe1a72sCYGH232SCfIAUXrM9rVQvtTtDlxkGgTD6lfGlagk9KtFJ4Wba5CLawtWaFMSynIQ5v9w98I7MBKDE/DIMQY0YkIsZd03NLb8JXduF8v+3OwKcN6u7P8wBJ/Thvb158/9fGrpj1ePzEBbH29FR8wxMqPH9oY/r3bRyD6BA8/kPVzczFYeVrj/bZlnx5d3GfeMtn97U9fdr/3hWd9cEYXd+PVY900v9rC59llO7KE6Q+8ZkyWAhB+ELb/6bdMcv/8v0vc737+mWxV9sFrx7qrfTh+06eT3/b0Sdx+4DppJPiCs33Vd6VsIq+PKGoTlr1xEqQ9kkv9imWV8k20YU2vLZsAbfigsj5VWxyk8LDsTRuDuKtGXxDi1WHC77WBlY69TGh2KpRUop0Kjy4TWlumLnHS+CtL26rPMkn58+DVSBlbtKlD0m/y4MV6GMTwvhgCO3hjx3nnnSc2TbpFohZ/9/yh7i3nDxMDLwb36eq++p7pLSILU32Py8ETIhSn+C2+sUN6+Bs4NmcDGT7DBnRzX7zhpGyV1sWffXX1f/jB1uV0fzanBX5gC/Pv3zbZh9j7un58ZTQk62PQnHPyoOZw/5CvlBxSfcyjtxqNVNsp2tSv2C7K0C3r9/LipdlyymfmsWVJ7zSsqqjFlMSq8gqBkghg64d5YhzEsJ2Ia6e0XYQyTSLPa/9+PETqz7v8dr70ObB/r+vSreWqqJ42/S6hjyDs4t7mc8y+MXelO8snQU8f1SfbLl+zeqUbOcKHzAdBIaC93G8zbvBnaoP7+DsihU/TA6eInmx9n+Lc+Rvdar/yu/784VW0Yj2COk5+Ww1kx4mgq262DwIYxBBiP3fu3BbJzgix5z12WtJzGY73+CAO62aYvXuxla+/QJ5uu+lwCluVSJZmpCIGslWrVrshQ05odf6L1SDO5Tp3wvlYa9fDW1JqtdYDWW8ffn/DJaPcOL8CrD4VAjEC1UBW6USFQAMRwN2JSHbGc/bY2w9D7BkQ1IjmU6HVqfK8PCHA8dzJLc/itFUgzsFGDvQX/vpLi3v6aMR6PjMn96/n59VvjzMEanEYddP+t3/1J9oWCEOPpdBrzqa0sGzu90rlYZm15yrVJV/hmUIsQ61P+F0evhmYIekGaUttkr5WT6uL37OsCNZWn1J45cEjxbeFiSVD9lvaX+d3ln5pZXn6ZMkq5CvmTaLNKFtEJ/ICYNwPd9lll2U3dmAFFtar1yZQPzw/0eprepuytzx4aTImL1q5lb5h+QjIAGHZ2j2wZXS+kfaWhzZ1L/Z9eeRQxDel/F7KR4R9knxbHr5TvlEagywfID7jAiLxrAqdY+6K9DQJFVSbCDCPTMoDAoPakwOgx1wviXb4jIuW81CUNtoLn0qQ2teeM7CwAh3mnmiHosA4ldeizaot2oyyQy6HhBdkrz15Ar7z5AtqfKeecWF+m4QJeYqf4KBM8jwroeGVok2+OICEesA8spB2eGMHQuyxxYcLgJEnBvyojymbIF8x3717985kRCwke0zRtmyijC1Df4iXZOvhMy6xPaXysZB7VsQm+CwJ6oa4he3TXq28zSL2xgFY45v8QIYxfSvXC3RTemvZBGlLfaJPRZmFF+xUC7+HLIvaG/1SPAZRL/mkUii/Gowi/mD2qIWh4nupjhSyG9JFh608MnQa4b5S51O04TgwU0NOjvbRaDOZOgw1zss3f4d2Y4GyvxJWqMe8Fo1n4AAHqBkW6Gu0gQeciUYbNCFjqRyOyKLNcx2Lb+slAgkrDpDQD00ODDe3XhPQaDPBX8MrRZt8SbxJtBGdeO+992Yh9rx26sILL2ylIwy71i4JAC7gWbIJyI+6IfUrRbuMvVm2zEkwsJLymyxbRn/gHLVXMICH5ptSekteLNrQrUbYm2XLDKGX5Nwo38TFAQYpy4cAMwuvRtmbJmf4Ho4/rfLIVM9fFVQIVAjUjUAcnYgBDCH2jQjoqJu5qkKFQAdFoL4T1w4KQtWtCoG2QACDGO5ODC8APueccxoSYt8W/FY0KgQ6CgLVQNZRJFn1o90QwNag9J4YQuyx5WXdlNJuTFcNVwh0IASqgawDCbPqypFHAHv2GzZsyM7EmOyMa6cwiGE70bo89chzW7VYIdAxEegwz7hYeTEMh5ZEaJXh90XLU3k6RemW4Snsv8ZfGb5SvKXkYJlYGb7K1CVPGl5Yid1xxx0tnmKZPXt2c1fK6qUlp6J4EY9G6ABpFqFdxmbyyLgsXlr9PG2n5CiVl6FbxhZTOl+WdtF+WbpVi2eMDJuUwu9Rhq0SaZaJaCRsoWjJkIw40XKEWC4JlKGiEm3m5DAaSqJflDYEhrpS2DWFzfL4MN/CinQZaSUZCEORtSgqlGsXfrJtKcAA+KJdDS/K17rc2UrktUKoNazAE/ghX5oMLUen0Qa2DJG38LJoE5PwJnDQ4pkYQuxRhhD7GTNmZH1hH2grEn3KScsDAx0pFQLRZMSLuhTrUIq2ZRNlbJl5TdSDmC/LlllHk4Xmm9CGpbewA7QLPcDfEt6UU1vbG+UDfZBoQ75ayouFVRnfhLqMiJR4YooOUyU0vMKLpEM5l7U3Tc7UeWDWKmoxzsvREuzoAKk0obNhGevGjgjlbAeDkeSomH8SKzHrarSZeJlKIEb7Em3SZRJfvGoh31I5sYjLwv5KeU8sD3mX2gVWUrusp9G2+sRBGXUlWadoox7rSnKmHKXBn2WWfvBZFAkP6pmlP1oZ244dK2Wh0abOsN/Mndm4cWOW7Mw8MSQ7z5w5MyPP/KlQDyQdseSEdtim5NhDerEepOwxlHEZm4htOdZ7rVyy5Tw2ockwtEPJJkI7o+7G+pWShaU/eXyIZMuhT+XkkPrLspStSf6YfbP8caq/oY5IA5lmy5w4psaClC3HbUo+NbT1WpwPxDwOaTYP4vheyi3AyI4R08o7gDC1p1rQrpZDlKKNcsxStRwjizbzgMrwDQwlZwOstHwrriS1dsGzdVceFEajDZzRL402ylEm4UXlKEob9bUnT1CmYcUVlcYztyO0t5cs2tBb1Ldy31Cu0aYcyRvyxO6+++7s2ilgOGfOHHfxxReLOkC90LDWsIJ8Lb0FPe5QSP2y5EBHV9TeUF+zZQ704EmydcuWOfnR7BhyhAwk34R2LRlTthbtENNwoGsLm9BsmasaK0exEb6JA6dGG7JL+VTNlq1xArjmsWVJztA54CXlBHeYZ1ykmTiVEWVU9HhGzrL4+7huqjweyCx+6KTy8Cy1W5Zntt8I2hZvKTloGFv8tpWMrbbD9uM8MQxi2E7UtsOKyhhtaluh9eBhybgRNsH+av3Oox8pW2svvS3CV8rWQ7wkH1JGf1L21p60U7Yu8WZhVUUtpjxYVV4h4BHADBVXJMV5Ykh2lq5iagvQeFZgvdbdFu1UNCoEjnUEqoHsWJdgxX/DEcDKCE+xPPDAA+7xxx9vvnYK0YmYRePwua0/L774ovubv/kb96EPfcghqbr6VAhUCOgIVANZpR0VAgkEduzY4R599FG3cOHC5kHsggsuyAYx7RLjMqDirPlHP/qRe+qpp8TAqDK0q7oVAh0RgVYDGQ7UtBB6Xq4qAcELPzWQeDmmVA6HUIY2LzHV2k7RlqJySMviG7/hAWTcNupp5yb4LS8NtvDSzkhS/U21TbyltsvSRtsa3xpWxDGFl1Weoq3pNGWh0UZgx5NPPukWLVrk+vXr1/wUC7Gz7IW065XxLbfckgVOnXvuueodjZZOs11NDmXtzbIJ6A/oa21bfiLlQyysU3qrhYqHcmyUvVk2QVuV9C+Pj7D02rIJ0La2xPPgpd0fmscmUrYs9YtYSe3W5s+f38LOmAsmNYQyGHZcBwQYbqkpA8PftYgjRg9qocagr9HGATweMFy/fr3oM6w+leEbjWm00R8NK9QL0xEkpkFXUyYceqK+hgdDszUlxztZOH+Rzl7K0rb4tuQAx40zKEm38uKlOfdUnyRZAFvwg9s6XnjhhUwWY8eOzQaz559/vnmlVIQ25U2s8G9EgE2aNMm/rrzKLVmyxF155ZXZqgz2gFD/FStWNE8wEdGF32zevNktXrw4e6cr/uTRHw2vMjYBPLCChRy1yGfNlvPYRFEZQ5ZoV8KKdtwoe7NkgT4DL0TAxr6vjBws35THX8N3AQ/4Vc0/FZVFUTkDDw2r2rBhw1rwibdg4OAkJUQZHGBch6CBQS28leHVkvOF8uOcAXW1AdSiDUWBIxg0aJAIOvjWaIMu6hfhG41peKG/6JOEFeoxaVY7yEddbeYLgYK+FjrLpE+L9oABA1zfvn1b4dUWtKHgkpwt3YKCQhYaXgx80NI3LNqpPsW0ofsY7O+7775s0EJ/rrrqKnf22WdneIUr+Dy0UUeSBWTM2SvD0m+++WY3cuTI7A8maOADch4xYkSzbaBO//79s++h89LMmrQbYW+WLQMPDBonnHCCqANMTJbsLWUTZWSMSS7oa/oF2tAtafKXknEee9Nsme/Tga/Y9zXKN3FiaKVLoc/AY8iQIapP1caJFF5FbRk4YyIydOjQ1gnRgwcPbjWQaQ4Swsa9cnEdGjeAsQYEa8kJ2lq7AMaijRkrZsoSXxxsrHwtANvWfIPmunXrVJ7yKD8URVuCW3gxkVYbyNasWeMGDhyYOUPpU4Y2HCgMQJsIaXIA/nDamgwhf2vLyuI5pQMxbdBCntgrr7ySDfYTJkxwCOzQ8tCstkEbH2kAjrHC7BfBJFgFAr+XX345W3V97WtfywaG8MOBTJOhJYcUHil7460g2op/5cqVmQPUBgXNlmETzH+rVy9TfeIk3PIR2mQ3RTtlb5CFZsvoM+xRGjCARSN8E/rDxYNmj7BF8FzEp6bwKmrLwHn16tWtbAHttTojo1AkJZRuXaDCsZ7oGf2X1nKS2zNaXkuKNupZ51zkWxoUUrRTy2Bm3seO28KKM6IUz9r2IbPqLaytIATiLdUvS5uJltJApmFFPKy8Fm5NW1vXTMSM+5VHxhwksTLEGRUGEww+uABYe9ySfFtYs0wayGKsMBn713/918x5YSvxYx/7mPvTP/1TdeKYwiu1VVbU3iyb4LY2fqP5EA0v2oy26rZ8U0pvuU2XshlJv1K08+iXZsvssySLPHTRH21CkbI3S2/z4NUW9ibJQ5MzsZLaraIWNc2uvj+uEIDzxCB26623tgixxy32OO+xjL6tgOLtIpgJjx492r3uda9zkydPrh7lbCuAKzodFoFqIOuwoq06lhcBDGLYwsN2opQndiQGsZhXrALf8Y535O1C9bsKgeMagWogO67FX3UeCOA8ACsxRI5xOxFnYlp48ZFCDQfb2rnckeKhaqdC4FhAoBbvs/N+rtRdV3HnrHr4bYpunjvYUve3pcolgZTh2+pXeC9YW7dblueQ77aUYxk558GL9OvFU8MLW3mIDMQt9s8880x2uH3ppZc2P4oZ6pOmn3lkofGdsgkGRcRnu/h3zFs9cszDc1F7DOWo+ZAyWDaibhm9TdVNlVt632g5FZVxnj6laBexZUu3ajgXCD+I7pEO0zA7RRm2WRBeGyopDAtGxy2YWIFRjro4lGRkUmx4KJcOPFGX7+JInWdiHw7IyV9b0Sbf6Hs9fLMe8IjxBW8o59tLksBRjtk42pSSRFFHuxYpRZsyQH0JrxRtylnjGzT5jlKsB5ZugR/ghX7HQTDoE9/l0oJoNNrAm+HAoV5g0MK1U3fddVd2gwbfEzvrrLMyXWa+EdomX3yxIKQj0WY5+SYPsc2AZ7QVvnPGuvgtdAT6Ew9kffr0yfBg2H2sY9Q/izbqa/ZW1JaJFfGKbcay5VBvGTAS4hzalBUiL01ymNoAfkLcQjnRFtra3ixbpn7QT/D2f/oI2pHk90KbqMc3xbTjSRHK6VPZhpTeYdkb+sPIRGksKGLL4RgDfYcOhLRr2IuPPwjJ1JQF30tPDvChRu1pCDCCuloSLniQrufH9xZt0IUjQOis9dyBRhtCgsMowjdxw/ZPvA3F/kr4oh6wgMFaW0fASouiAn2NNupAmTTaKAdWEl7gyaINrCza6BvkoUWeSVhRxsDEevYGfGlpEqCh0WZ0IPECHRgD8sSeffbZ5u1EPIwpPSVCviTeYtqxLVEvrOcyJKw4yGh6C3rUDU0PNDmkaJexZegP8ZJs3aJN52Slyli+CVhLWEDe5AX1tZUidKsR9gad0GyZKUlSZGyjfBP44aAu+T36VPCs4ZWyNwx0mk/l7S+WLUtyZtoHsIr9bS2e7eHf/BMbJX8b1+Eor9UrW27xFM/apBlZqk+N4NvCqtF4lMErVbdMeaoucalXhik843ZxawHOxBhif+GFFzZvJ2o8WDaR0p8UTcmeiIFFO/yNZKspvsr0KY+PqNdPlLGZPLpVFK8U7TLlYZ/r8cUpnU+Vp3hO+dX29qkxVlWwh+Q1q+86LAI4E+NTLFixXHHFFdnt8tZg0mHBqDpWIdBBEKgGsg4iyKobNgIYtOJB7LLLLstWYqmE1wrbCoEKgaMbgWogO7rlU3HXBgjgHAJXq+FMjNuJGMTwFAv22nn3Wxs0VZGoEKgQaAcEWg1kqX11jcfUXn6Kbp5yC5+i5wxl+A73oaUzihS/7cUz+Zb4axQeFlYWP+SxDF84E7vjjjvcvHnzmgM7cC6Wl3ZZvIrYTOoMI7UVmseeNBplsM57zqXpXlGbycNzI2mXsWVNv/L0qUy7eXSojO4WqZvHp0p81zAbDT+IKpLuaENllPFCUSn8XgsXR11GnKAtKWoItBmWGfLDdjXaDInWQr5By6LNelLYbV6+4+cMWE8LzWY5cIjDSClIykULB0afYtmFdRk9JoW/Uoa8bTzEG79P0eY9ehJt0pTC84voVtgnGramP7HehtuJTz/9dDaIXXzxxW7mzJlZ1BYjNLkiA30NL/xGCpMnlpYs0IcwtJp9srCiHCSbQDQZbRG04rZpM1oekkU7ZW+WTaCM9/uRp7x+IrSJGKsQL/zOuoxYkgPTZ8Ab5S75GNBuhL1pthz6CchZCr9HXc03WWkS9HvSUytol35P8gHgg1hJeJG2dpcnw+8l2uxzvbYcY9Uq/D6+fgeMS7fUs/NQTCmvgLleUhk6znakctLEb6TRNgQ1HuVRl2ccWo4R2tRo5+EbbWi3PLC+dmmwdr0RDd7CSytDf9knadZD5ZPq01nzYs7Ycados57GG77XZpLWRIey02RI+VnthgYPeWA7kcnOGISwnYjHKumsiV2KNjDS8KJuWnJGO5rNaLPxsE3JJsJcK6lttifVTdlbHpvQ+hReGiz12bJlyt6SsXZBrqW39BHEVLqsG21qNp6yCcve6PusPml80catutpgQvlo/bJkzAkQ/aqGlzTAhv21fBvHE81/SWOQ5SNqcW4MOoEYfkmoYY5IzAAcBUZgLQ+IMyktvwj0tLwDOkArL8rKI0OfNNoAB7OeonyDNurGDoP91egyj8zKfcPMWzJc5gFZeKBfGm3Q1PLIytKGHCFj7R0sCSuuKsiXpNzMPdGeponlgO3Ee++9t/naqTlz5mSrMUmvU7SZF6Xl3aG+lf+G/mg5MxpWqGPpLehRN7S2LdqWvZWxZe4ygCfJ1i1b5ixbw8ryTSm9pd5YtENMQx1M0WbeZhFbpsOW/FOjfBMHGytvE7IDZhZemi3zQo1UTqhly9IYxDfdpNzKVmdk0pYQhSpt6YRlRcvDLRBtBmnRptFLDpBlVEZpRVeUb4t2Hn6LtmvJKORJw8PCqyztlP5YcijCb6x/0J84TwyDGLYTtRl3SlZl8UrppVSexyZSeGn9ykO7jG4WxauM7pWpm7KZRtNm+7Hva6t2i/jUvG0XpV1Ed6mTkg+pohYtRKuyYwoBDFS4sSPME8N24vnnn39EnmE5psCqmK0Q6EAIVANZBxLm8dwVbIXgFvvbb789e4qFZ2JhiP3xjE/V9wqBjoxANZB1ZOkeR33bsmVL9p7Yk08+mZ3PhXliWiDGcQRP1dUKgQ6NQJVHdvhuSU3KWgQef6+VS3vHYRtF6YJGmboh31Kfy9K26qfKLEuz6uJMjLfY43CagxhlULZPxLwoXkV0izxrelRGv/LQtujnkaPFdyP7ZGFdVL/K6k9RvBrdbh4dKqO7Repa/i2055h2DU+yhB8+oxEfjOPfKMPsFn+Hh8FoABGLDLeMD4pRnnrGhTRjcPFv0AV9fGLa8bMkUqhoUdrkG31HhI10AC7RZj1gFeNLQSFSkqHKEl6pZ1yAp+ZYLdrMEUF9PsUQ0gEvFu3UMy4W35Zu8RkNiSfgKT39wJed586d23xjB66cOvvss7M+EFfgbD17Yz0rgbap88xZDPHKQxu/j58mAV3gYT21QjnENoGorfAJnljH8tKWDs3L2DKxIl6w29hPaLaMunzaSHvGhf5HyyPTZIzfgzbzSeMVOvHC91oeWVF7I20p9YR6jXZxtivlkWl+r6hvov8BP8yflHwqn2Hh80qxr9FsGb9jtCV4lHxb6hkXiTb1kli1yiOLQ2TRAYY5xisIfA+wtdBq/F4q4/doXKuL78GLNksAIFJd/B48kbY02NBZ1EubfGt9RjnxavWswGGstHQDGCv+WHihTHtWgnhJg5lFm7M8DS/ypPFN51eEb8ohxgo8gR/iLMmQuV5sF7/F3YlYiWE7kS87I7AD/x06K+aAaX2KaceYki/JyeWhrdkF5avZhKW3qEN9lvqVog1Hptkb8S9iy8xr0nSXk1FNrzU7J4bgWRvIIAsJi9BHUM9azegP21pb2xv51vAAz8DMkoUlhyK+iX3X/E9ojxpemi2DNid8Gt8pe9PGIOgGsWrlb2PBM39AClUm2JqyAADLWQAUrRyGpeUVWAZL4CzDYZ8kp89+FuWbtONBksKyBgQoUgoPLY9MM1r20SqnMmgONEWb9SU86SAl2hpWoEPd0pSft3AQL6xC7rzzzuaXnRHUgWuniFeov8zZsyYVlu6yTOItD232L8bLwoqTJM0mOKksSjtlb0VtmRMdYK35CY1nhnxrcrJ8E+paegs5ccUl6S1pN8LeiLWVEyrJuVG+iT4TmGlYh4sDCy9pcZDHJiz9suSMesAqbrfKI/PCLJozw9mltEVj0QzrSUqSKs+b46HRJn2pvCxtqz7LJOXPgxf5xTYM3hNDdCIc+uWXX+7wsrN260OePllYlcWrjIwl3bL4YVt55GDRLmoTrKfVz8NXGbxScmwE7Tz6ZeFBecZ2UYau5ZtS/iUPhilbTulPyjdJ9UPdSg5keTpR/aZCoD0QwEwtHMTwbwZ28FxQS3puD36rNisEKgSODAJV+P2RwblqpSQCGLQQYo/ADq7EqhD7kqBW1SsEOggC1UDWQQTZ0buBwA5sJ4ZPscyePVu9dqqj41H1r0KgQuBVBGrxXiT3PlN7lDGIVr1wT1ajm2fvPLXvWmZfPlW33vK8ZwX10k1hmafc2iMvI8dU20V0C3vhyBPDLfZ4igUHvZdeemn2snMYrpyindIv8q45B61+Hrw02kV5jsOa67WpPDyn8LLwKKpfZfjKU9eScVFZpHQ+VW75iTx9KiMnq64lwzx9SvFVRBYhVrHOt8ojYx5PfHDOvAUtNyp8G0dyBmEemTQIajkz+C2fHJDogk++nyXlIKFOUdqsC4epPUnAfKX4bIZ5PlIeGegyZ0YbyMJ8rLjfzF3S0gks2uwLcjkkvFK0wzwyTc5hrlD4Gw2rMJ8mzFHEduLmzZtbhNgjMhGBHTwTI32NNsrDvBaJ5zCvRSoP88hieeWhDZpSfiN4ZhizZBPkK5Zz7969s7w46qSkYynalk2UsWU+/UH9jftl2XKYR6bpFl/gqMcm6CO0PDLauRbVmLKJMrbMPC3IMJazZkfsO/WjXt9En8pcsRhL4oXvtTyyRtqbNgZRL4FVq/D7+PkAGCqu0NdyNfC99OQAGsEf7bkU5iZIYaZ0DtL1/AAzRZvhmtozCqCv0WZiYBG+wRto47kCLTdKo8sQVe2pA9AGVlpeC/DUaKMOjLLIszcMc9dow2gt2uBbC73WsOLAHj4rwZXYfffdl63EGNhx0UUXiY+RWrSZq6P1CbJDe9qTFeRLwjMPbfRP000LK0tvwSt1Q+uXRRs8FbU3y5bDp54kW7dsmUmulh1bvsmyCYaZp55xaYS9WbaMPtOnSgMZ7K2tfRMHMgxSKd1JPeMiBVflsQnL3rQxiI8zg+dWA1kMHv7NP/FIzd9KKwGrHuiUKU/VDelLM7lUn7T+luHbwqoM3bJ1iY8l40bgkeI7xgvRidhORGAHHCLOw/CHE6x69bZMnyz9SulmGZtJtRvKUrLVon3O06c8PqJeP1HGZvLwTDyPFh8R8iPhmadPjZLx0e5TY92qgj0kra6+a1cEcCbGp1gwQ0Z04owZM46rwA4Yat++fdtVDlXjFQLHCgLVQHasSOo44BPbP9j/5kqMgxhu7eBVUNrNHx0Fnpdeesn98z//s1u1alW2Ar3xxhvVLc+O0ueqHxUCZRGoBrKyCFb12wQB5onhPbHHHnus+SkWBHdgP5wXnLZJY0cpEWynPvDAA+6cc85xI0eOdHfccYf75S9/6d7ylreod5AepV2p2KoQOKIItBrIePgocYEyad8bv8VMWYrMIh2LLmiWoc2LSjXkUrTj27BDOhbf+J12qabVJutpWLJcW33wHjSrv5YWEW/pN2Vpo98a3xpW4ANRbo888ohbu3ZtFhiB7USsSEL9SeGl3eqRR4YWbQuvPLQtOYVYIRrxuuuuc/gbHwRGYIv1TW96U6t7SPPolyaHsvZm9ZmBM9p1YZafYLCHhZdGN6W3eXxEo+wtZRPaOReDtorgYfkm+mst2hHlefBqlL1p+kWdl9qtrVu3rgVOiGTB7Fj6McowM47rgAAGAwCjRbmgHmhqF9WiXLoMMg9tbEdhENWABd9FaVt8gzeNNuppWNFJITpHuxQWdIGVZLioB9oa1pAD8NBoI7x148aNGY34U5a2xbeEFfqI7/Eo5ssvv5z1+YwzznCTJ09269evb74Hk89ZaJecWjIGFqiv4ZWHNniR6pehHWIF3NG38FxswYIF7pRTTsn0esOGDZmNwekBo02bNmXpE0hPIP+hLPPoTyNsgvqDCYlk65afyCMHzTel9BYJ9bALyXfRjhtlb5YsmDoEvOLJVBmfavmmPD4VuwPg28JL058yNkG+JTkzwlzCqgYDDT/4sTbbY15DXAf1U8+S0Ai1wYbv9UizjxRtGDTqaysrizYMwLoVOw/fEl6oByWVsKIicdYk9dmSQ4pnvuekzV4xgG3dulV8d6wsbfCtzebiPoE/8PHggw9mgxgMA8+wTJ06NXPQ4QqfstX6VAavFG3IEQOH9VqA9WSFJucQK+COgRIG3KdPH/f1r389G7ze9a53ZThg4sG8H6xY4ZjhaIATVrPxx5IDflvG3iybQD/AJ/iVbN2y5ZQcysiYk13NHsvQTtmbRZt+ArKWJpWN8E1oJ2Xn0KnwwgFJv7RxIkW7qJw5QEKGraIWp02b1mpFps1cYTiYJcZ1CAwUWFsFoMzaWgJtK2fBor1o0SLXr18/N3ToUGlMyAxeo40KXA1KlYvyjXrPP/+8iBUHMusZF4snzlq0PjEpVVu9zJ8/340aNcr179+/brxStME3n2SJicdywL+xdYZZH/qCs6E3vvGNIk9wBtYWX0rGVnmK9rPPPutOPPFEVYdStNEhaaCTsAK+X/nKVxx0+v3vf78bOHBghseUKVNa4DJ27Fg3YMAAN378eBEvSw4p/eFgVNSWkfcHHyENZBZtODiUa5OCMjJesWJFZucTJkyoW+dTeOWxCQ1L9BnXrkk+tVG+iQBYeC5evDjz5fAT0qeMLFL2ptEGzrDF6dOnt2Kp1RkZZ2rSzBdl2k0UzNjXBMa6WkI0yrWlaoo2FUlE3H9ZhrbFN9pDubYM1rBivdR7ZNpWLOpZ27hcnWoDGWdMEl5laVNJpbZDrLB1gUEMgR0YxHAepjkZ4mUNZJocOGlI4WXRBl5a/dT2D+ppA1mMFdr57//+b7dw4UL3kY98JJuY4Tvp/A7tWmfSlhzYn6L2ZtkEVye0uVjHLFsmXW0gs3xTSm+5ErR8hHaWlaKdsjeUa7bMPktyTvm9or6J9mTZRB68tG3ePDaRsmVpm5f9lY6RqqhFTbOr7xuCAAw6HMQYYn/yySdnIefH8wfbhYhUxAz9mWeeyVYQWKEiBF/bUj2e8ar6XiFABKqBrNKFI4YABi066zDEHqsxnGFY0aNHjMl2bAhnY1/4wheygZ6BD9gy186V25HVqukKgaMKgVYDWerKE417qx7qpOjmKbeQS4VPa+Vl+Lb6ZfGTwiNVXpZn0pfwLEvbqo/Ajnvuucc9+eSTzXcnIk8MdVKDWBm+ytQlRmX0J6/NYMDCmRjPxYrqe179KdMnq25R/SpjM2VlXMb/lGmbfZb6XoZuXh3Iq5vx79oDLwurGm/BJqM4aMNHugQXZdifxN/h+Q8awAySe8Hx2RDKefs999BjYHiTcyzQFG3wyRvI4xvRwz5JwOM78AzepQidonyzHvoa40sFI4b4rYYX6mMVE5fj36gvzdRBjzhItIkXUynic5Y8tBm1JvENuijH/jnL8d8YxLBthkAA9AmrMFw7xRQATbeIF3Bkf6SzR01vUZ86q+Fl0UablKOU55SHNvUwthkJq/C3iBzDRcWxTSBqkZc34/exjuH3KdpF7c2yCU5IiFds65Ytk2dipOkWvpe2WS05QO68rFjyEWHbbW1voS+IabNd8B5HCdI3Mf1HwwN9K+JT4fd4CW9Mm3iFvkTy19I4ge/ojyV7IR712nLIC7CKaVdbi9a0tyorjQCMAoMYrp166qmnsgEO74mdd9552YDGQbF0QxWBCoEKgeMWgVr8ZAJGd3wnzV55Pb8U9o0R0ko65UxKi6RDu9qzIynaKEcElhYxadGGM0VfrdB/0Lf4Bl7xrBn9BV3tSQrO9K0QevRHS4gGfY02V13WsyQo0yJIy9BmJCYjz3D2he1EBC8Aw8svv9xhO5H9Cp/XsOTAlVlKxrEcuCLD3xpeKdqUo5YQnaKNcq0u+q9F6Vl6G+qG1K9YDrGHg4yL2ptly6HeSzZj2TJn6Zrewv9ovomrCuu5HPzGCoNHu42wN8hCs2X0GfolyaJRvgm6ANpoW8OaTwAVtTeLdsretDGI+anSLkWrFRmErYWNa9+DMateqpx1tVDjFG3S16YjrC85uRTtvOXSQGZNj/LSlWiUqUt6lozbSs58iuXRRx9t3k4MB7Gwb1abKfmG+lVUxqmpbBm8UnppydiyiaL6Vdbe8viIIniV0esydfP6pyJyzEObv5F8SFvYYlGbyNN2UdpFdJf8SDZRbS2mPFhVXjcCvMWeeWIMscfLzlUYed1wVhUqBCoEEghUA1mlIm2KAAM77rzzzuZb7HEmhpUYD9qrcPI2hbwiViFw3CNQDWTHvQq0LQDME2N0Igcxntu1bWsVtQqBCoEKAX/mV4FQIdBWCOBMDCsx5InhkBiDGB7FrLYT2wrhik6FQIWAhEANzif8IEZfussKM2qUIXIIkWjhQWCYHwJa8SFhmHvC+7JiZkBbOsRjPgVvOohpw0mCJvJiyHtb0Sbf6Hs9fLMesIrxBW9hToR0SI1y9IV3y8V9xr+l/LQ8tNkX1JfwStGGHHi5K/nio5hz5851jz/+eBbYMWvWLHf22Wdnkazk1dIt/AZ0JZ6Yb8M8JekQWqMNTJhjJBlAijbbZJ5PnHeXhzZ5iG0GNIFPmHNHHkM5xAfqeK8M+s57HGMdo/6kaGv2xpzQem2ZWFGOsc1YtkybAE9SXhT7BNpWHpkkY/we29rUxTj5PqSt5ZEVtTfLlql79BNhLmvK7xX1TfQRzCNjpGiIGyNL8R3tUvKp0jiB3zGPTKKdsjfUl2yZYwyxapVHJoXfa2GoTHiWQjYhBBC3wskZJh+DQuWVwtjxW4ZdSrTRQYbHo1xycgznlCJseCN/Eb7poFA3PvehkK2Qb/BqhRpjVSOFZtPQi4T2Ey/QlvDKQxvKRL6BH7YTEWKPPDEGdlx00UWZXBgGTqy08GnwAwy1cF86XUtOVtoI2tfwStEmXxJvdIoWbbSthd8DLylMPWUTqEOHroXfW7RB37K3orZMvdfSYSxb5sBp2YTmmzjBkLCAznOAAl+Sj4AcG2FvdOwabfo3SRZ8JsVKDbJsBphIvgltWrSJFzDT8EqlaYGGxbdVTr7jCQvqMBUm9re1+Mf4AfMX4gEHZXSE2mCkbSPhe/6RZk1sVypDx/BHo80OakEEFm0qmsW39uAelZA5GfGsRsOKimT1Cfxo7dIZaDyjHiYdRfBK0SZN/o3VOW7s4LVTeE8MgR0cgEMeKAdpQmHpVmh4Wp8s2pSTJWNLViyT6nOmaNEm/5I95dEtzV6Io9Q28UjhJdHmIFrElkM5SvUtW+YsO8WzZOcpvSVfKR+hYcmJuoRXyt4sW6bv0HIJtRVo6HtSeEn2hvpFfYTl91CWxyYse9PGIA6+kr8Vz8is/AFJkJxJaWWp7638gFTdvOXSNkpevlN4aLTz8lYvpnn4Kdq2tNWp0YpvsceZGN4U04yStDXDKsoz61lyaGSbZfjWZNkWNlGUdkq/rP6WqZsHx1Sf8tBoD3tL8S3pbh4sU78p4/dSWDaatiWn2J6rYI+UtI6zcsyG+vTpbfYa21ocxHgmxsAOvqEkbZdpK31OKFIXB6dE0blzJ/EnXbp0dr169UpVr8orBCoEjlEEqoHsGBVcW7K9bMMe9425K9wr6/xlnH4w8Mcn2TnC75w3zF175pAWTWGAwjP2OBPDjR3492WXXdYcnahdZgwiPXp0d3c9t9EdOHjIXXHq4BZ0cUYwYcwI9/yKHe7Ldyx3G7btc9NG93YffM1Y17Nbl2R3e/Xs4db7Ov9y01K3ZP1ud9LIXu7PrhjjBvft6nbtO+R+8/R6N2ZwD3f2hL5JWtUPKgQqBI4tBKqB7NiSV0O4Xblpj7t93gZ3zWmD3RkT+vlRzLkV/jsMKAcOHHKvP+eE5nYR2IELgOfPn58d5s6ZMyd3iP3C1bvcLx5Z5951ychW/cBAtnj9fvfpX7zspo/q7S47ZZD7xaNr3Sd+/JL71Fsmu65+gPXjn/rZuOOg+/TPFrtBfuB6ix+Ab3pivfvibcvch1833nXt4l9n2H/Q/dLTmzysp+vfq1L7hihSRbRCoJ0QqMXbOTyMjfnBniQj2uLwWJaxbrxvy/KQRkwfdaWb0PPQ5uG0FLaLdsrQRt0U3xoe4EvaLsvTJ2Ip9Yn9LUo7xCs7JPc7csP7d3PXnDHEnTXRD2SHP4v9Cu2Rl7Y2D2Tbt293t9xyi9u8eZN721uuc2NHj3J9Bg5tIcpevXp4vFuGUKONAwed++97Vrppo3q5M8b3bYFLZ+iW6+R+/cQGN2pQD/fx6yZmNE8d28d99ueL3So/qI4dCP1rHZrNQJ+58zdmK7FPXDfBDenXzZ0+ro/7vz9Y5B57eau7cOoA9xq/spy3bLu77ZkN7nf9QEdcU7qJcku/KCdLFtTB0C5SOhDKOD4PYDQo6Unh5Hn1J6ad4svCC2VMzZB8gUXb8i/Aj+Xa9nNKDjyf1UL78+Kl+cWU77PwoJ+Iw+8tnlJ6S50r0l/qPHVQOoejT5XKIKMUHnl8aoh1+HvqQNh2offIkFsQG2V7vUcGo0bH0D7ftIqVzXp76Xh9jwx5NcClZ8/uzXB18SuX8NO/Z6159bJxw3p30823uLVr1rg3Xvc7bnf3Ye6B5XudW77JHfKDPT7YMhztB6KTRvZwB/Y1vVmHPz39luKyTQfc4nW73Rtn+IHv4AGfn7IL7imr163W2a3d0ckt37jbXX36YPfkK9vcio173LghPdzX/2S6X4kdcjv9ILrPR2KSJurhv7t2rfmVYQ/30ppd7pxJ/bKtRN+AG39CT3dC327umaXb3AUn9XO9u3fJvrt/wWZ3xWmDXM8ueIfuQBbO297vkdH5h9ijb3yLKh5skEfGfD7Usd4j02gfT++RwUfQP4XvuBFv4Mv3AdvrPTLIMB7ImOsVfh/zjDJtAp/ye9p7ZMALbQMXCS/wYL3/1+j3yPi2ZYuBDEYRf7DNI4V0oiK+lw7O+XCddqjOcEvt6RDwgLpSdFmKNpQP21zasxQWbSpLEb6JG9qNw3rZXwlf1OOs2uLZymsBfY023/nSaKMcMmY5zsW27jrg/vveVe7EEVuybmF184r/8/dvneIOHdjn7rv/t9lTLFNPPNGNGjXafffB9W6u347Eth2Hvz1+++6iqQPdlJEjW+nIo4s2Ng8mrnMXz3ufFmq3ee123+Yu98CLm53fzfQD0063zfP0/qvHuKv9SjF7VuJw7lusr1ipbd6x300Yyud0DnPk/1q71T/46sfZrl0O+VVaX3ffC5vd4rW73Zl+VehVJvswNNt69gb6IekInzbSZEG9sJ4X0fLIwBvoSjYBXhkdqrXNpzhivBhtVtTeLFtmSgloS7Zu2TLD762cPM03oV1grWFBXizaIaYhZtyVKWpvoKXZMlOSJDnzQoS29k3gh6H3Gm3oDni28mAlvwfaTBnQaKfsDTQkOTNVBVi1yiNrNYpVXxyXCGA1tWbLXteja+dsobRjzwG3cNVOd9e8je76s3u6F56fnw0mEyZNcn4B5d49Z0T2J+/nyVe2Zqu7vj3lwA0Mgot8e5OH9XKf+70p2QD5s0fWun+7ZambMLy3mzzE365yQG/Nj+viGRq2TbMVY+dDbsRA/76b532136p0fiCrPhUCFQIdA4Hq1LtjyLFUL/b7QWxg767uI68b507zqxZ+/vXmpe6Wp9a7S6dNcCdPO8n16jsgC+zo5Ge+9X627z7gTujnHy7EiCN89u4/5Mb6rb/fu2B4Nojhc7E/2/rxg6vdYy9tcScNHewHsqYtTOmDSEsp+h4BIig76EfBPt27ut17D7plfguz+lQIVAh0HASqgazjyLJwTzBs4Bxqy679GY0DuBXEbz9O9+Hv9/kzpd0HOrs5F1/sevTpn21n7fVnS1+4bam77ekN2fkWx6Y9+w66y31Y/XuvGO16dWs52CGg40D2anbTIPXTh9e4b9+zyv/XITfKh8W/xm8fjvQrJgw6/OCnoL/b0/UV/XasPAiC5oDeNbfGbyOGH9Aa5gM/umIZ5v8bq86ap4HzsupTIVAh0HEQqAayjiPLUj3BoEEHj0EMn1Wb9/iBoKsb1Kfm+vRryvvC3vpBH6zxtlnDs8EnXAVh9dPPbx32qLUecEYP7u6WrvcXO/tBsJfPC7v05EHu9LFNq7+u/vd9etTcI4u2uHvnb3LnHI6cRHDIOr/dOWFoT/8rXNmld3Hy8J7ZwIhUgpEDu/tzsF0+r2yvO23sMH8kh0G1q9uwYW+WJ4d8supTIVAh0HEQaOUacJArHS6jy9r3LCtazjatdi3aZXiz+lumX3n4LYuXpoapPsV4YQBavXlvlnuF/DGsXhA8Mfe5Te5NM05wQ/2qhp8sUsj/Gda/u//z6vfN5T4wxMcqQltasHfeiQPc/OUr3Lqte300Yk8/OGKARIThq5+rzzjBD0Yr/J+V2XnaDx9YnUUizprSP/vR/OU7XO8eXbJoxvhzyfRB7q5nN7nP/mKxXxUOcjc/uT5bUZ7t6zd9uriX/eCGvo6OBrJ68QrbTtUtK+MitpjS27L2lsdHFLHlMjaTRw5lZVHU3oridSz3qSjWlu6SpkS7xjBKCon/jqMWUZnh7XEd1A3D7yWBow4j9eJyOEfeCCExGYbIx3WzHKXD4fcIFZXyGorSRlusi8glrV/gOY6isbACHb6WrAmc9bXb74mnxJNFG+2hL/gNw7uxgkEO2RK/Ylm5BeH0Pv/N/waJxci/2rdvr8e4KZ+OYd8a33iCAUEh5DsLkfdLqVP9oIJBZP6KndlAts+3j+1MfvC72VN6u8F9xrmv3rncbdq+313iV21/fNkoL1OPvf9z/wubsq3BP7xoRBZJGW5DDuzV1X36+knu8/5c7xePrstu9vjTy0e7bp39hdM+DLKzj7ZFKP5Ev7ob6weyECOGKUu6A/6AF34jhWZD9yxZSLYS2hrqa1GLDI+OsUZ0HfmnjsZ6gHYt2pZNlLFl5g9pqTCWLWv2m/JNoYy0S3/ZJ/wt2XIYfh9jSflrl/OWsWXixBSQsG0LqzK+CXUZra3hxfB7Cy/J74F2HptAXc3etDGIvDBVIcSqFhNjno7UCL/TysIcH2mw0sqtNkEnL08p+pLTL9O2xZuFVapPqfK25Bm0xvhtv4+9aQLU22uhP2fCoN21KS0D5QhvD/tTj5yz33o6A3wwydVnDPaD0WZ36fQBrtPhHDPKBLfor1y52U2bONF9/u0ntRAVbhfp7Aew032k4ZadyCWjTrz6s10+D2dQn17u02+Z1KIulB9Rli+t3pltU77Vb4liMNzjg0tiGWmGlZJzCg/Wb0ubCGnWa49tqT9Sn0K82rLPKT9g2X8ZmzpSeNWDVao/qfI8WDZSjppNpGxN46kmvUdmveuElYeUW4DZKpyGlXeA0V+afZI5Le+JOQ8abdDl+1rSYIUZlUabOQ9F+SZtaYWiYQUemcho5bWgT1o+H2hYeKBfWjm+79OnT/N7QbgA+L777nNLXnklW7nMnDnTnXLKKeKbRUxAt/gOV2ShPN7gr7pCSP/NT23wW5YtbwTBLAzXX0mfbCXkC55dut1NHdk7CwBxtZbbi+gDc4lCGuBllw8WuclHX473qzHc+IFPmDPGLRztLTTKUXtTDPWtt+Hi9shftloNVq9x3y29DXVDajtFG+VWnmFRWwZd4iXZumXLTPwt8uYcB3MrXw+/0WQMrLW3zlK089iEZst8fkaSRSN9E/MfU/mNFl7gWfJ7zLuzbAL1LNrSGAScgZfUbqszsjyzS8nZWPWskT0egSVgUrSt0T2kX4R2qm2Wx7St2X0Kj1R5Xp5ay8nfkLFti9u0fnV2EW8vf+PGPr9lePvtd7iHH34oW6Fc7KMTR48erb5lVrxtn/Du23yfT3BGCLz00d6Kwm8RSfnaswa7Ab1an8uJxIIvu/kV2HUzh2XnbpoOpGho8syDh0Y7ZWuabqX0Pa/+gH5b20S8yo37nqfPZfAqUjcvXo2izfYlH5JnlyDFV1vLuC18qmVveVbWcZ+qqMWUB+sg5evWrHLf+vZ33I9vusctWb7SDR44wF09Z6abNnmcW7FqTbYyuOSSS7JHMcs+p6JBhrOEQb39QGS/EiNWx0x+aF8/I8siEOv7IFJx9CAMgHL4fn3Uql9XCFQIHG0IVAPZ0SaRBvCDQezGD3zQ/eKpXa520u+4rhPGuuW7Nrov3X2X6/ujf3O/+5qL3Nv/6IZsSxHLd2zzads7ZdjLzqv8NqG18rLo4wb7IilgGJhxQKxdMVSmT1XdCoEKgfZHoEOE35cJUy1TF+LT6lvhp1Y9qkQqZDd/eOsh9+9f+rL75bwDrvfsDzZFEx7ydz31GO16zPgjt/6xnm7JqqXu5OlTs0FM227Kw1eqX6k+WeZQRk5lZcF+Sfzl4UvrVwqPFO2ieJGuhkuq3RTfRfEqI6cyPJfR21TdVDn7LPX9WO5Tfv/UWotTPlWi3Wogs17S1S5OBStwkNoT9yi3gilQbrWboo3DvxTfmtHDeVsX9xblG/UsnrSDTvJp8QRBWrTDy2IP7N3tfnnrfa7zie9uks/Bw7df+HD2TrVuru+Jl7h5L3/fPfXEY+6iS67IBua8tCVMUxc3a3LAaslqN7VCtOpal8mCnzy0rQtQi/JtYQW+rBUk9MuytxTtMvZm2QT1Rwvqsmw5ZRMWzym9RV0LrzK0tcuZ89gy+qy13SjfBL60y9/Js3bpc1iu2TLsrahNWGMBcNYuuq5de+21LfhhNIs06qEM0WH9+r36ZhUr8ykBLdeCb41J20pYBTDiTGo3RRs8oV3NwKw+se0ifKPvGm0LK9RL9akMzyHtXTt3uEUvLXG9ThmOVlvqnr+ho3uPXm79wcHuxo/8nRs99F+b397S8MjDN2QoydnqE7Ydsf3Xt698ma+lP5YcUFZWxlu3bs0GFS2ClDe+S4bN80apbsomGLUm2cSqVavcGv+kTmy/5CFFu4y9pWgj+hRRsZIOWPqTR7d4c3qMdUrGyG/EbzQH21b2pumAxjf6jHf+oPexnFN9aqRNIB0G/FjR3kVlUZRvC6vaX/3VX7XAHs4EswRJCVG2YsUKN8nfgB5/wBwO5LXZLZNGtVkRaFsDkUV72bJlmYIOHtx0jVL8KUM7D9/oc6yEqLd8+XIRK/DH5D4LLz5bIBkt6Gt4ASvIA7S3bFzv3vuRz7hte31CetdX3x5roomHEA+6bge3uze//qrstWcYT17aEtZMHJYcN+QgYQU6mIzAMU/0eWTSB4EiwFib6Vu0mQCu4ZWi/dJLL/mna0aJeOehjf5Iqw0LK9SB89UcyV133eV++9vfuth+iV2KdqNsAvoDvMaPHy+ugCw/AZuwQuQt35TS27Vr12b+aaR/YkjzEdAtbbLSKJtAn5csWeImT57cEJ+q2RsvkdBsYuXKlZn8hg5tmSZDJhtpb5qcIb9XfIoQxp/Y39YQpVbPZ+HChW7KlCn1VGn4bzFgYJUorRQb3rjRwNGC1Yzv/czdvPQB1/3k13tucRW8PyPr5C/77drDbXvlSXdm/23u7b//VjduYvvJFUoKg5YmSe0pQ7Q9YsQI0dE0mi/rvHLjxo3u5ZdfzqJMj7bP8OHD3Yn+3bqj6bNhw4bsNhTI8mj7vPjii0cdXljxY/KlLQ7aC0MNq1ZnZJgZa4/XoQxLTumTevwSs0smLsf1YbCgW/ShP9QFbW0gA98a7dTDmhbf6AdoSw/MoZ6GFerxahptxo261sOaoK+dofBVV9DG7GbGqVPc3Q/+2G3s3NP1mzjLdesz0B3Ys9NtWvSIO/T8j93b//K65kEMK4y8tCU9AN/amYGGFXG08OIVPtoK1qKdilpM0QZfoC/hnYc2+ifNfC2sYBNsU9paBM/QXe2Tol3G3iybgP6ANnSw3oc1eU2UtkqwfFNKb8mThhdoWw9rlrUJzZbRZ/AmTVoa5ZuAAWijbc2HgCf8RhvIGmlvmpyhU+BLuvigzcLvUxFH7TWCH6/tYjCB0G+//Xa314etXzNrqlu0cq6b9+jTbtM+v3XcaY+bPniPe+eNr3Pv+ZP3Hq8wHbX9PpbtqVF5iGWElUpcL0O7bF2eGZWl05b1eV7ZljTbgpaWIF73QKZdnpuKLGyLTmg0NJ74++MtfwiD2ObNm90999zjHnnkkWyF9N73vd8NP+EE99Tjj7hnnn7cjRg5xl18yWXulNPPaqRoKtolEEDAxLH2wdn61KlT1euH2qs/qSjP9uILKzXpfKy9+GG7uN0nFc17pHkEVuq1avUwg44BdJz9PPzww+7qq6/Olp64p+/v//7vM1JXXXWVe//731846bUefvhb7HvDWf/P//yPGzBgQHbNEj5PPfVUxhe++8QnPuHGjBlThHzpOlgZ/d3f/V3Gz+///u+7t7/97c13LZYmLhBAFNRtt93mnn322ezAFkEcs2fNzrZfT5w6zV3gw+x56P3AAw+4f/qnf8qU9iMf+Yg766yzzOd6GsGvRnPBggXu5ptvdu94xzuyqK7UhKWRvEG/cAD+//7f/3Pz58/P7qL86Ec/qh6Gl+Hlu9/9rsOfa665xv3Zn/2ZGTZepp22rovZMnYAvvjFL2Zb2r/3e7+Xye5o+MBPgb+vf/3rbuzYse7KK688GthymzZtcv/4j/+Y+YY3v/nN7p3vfOdRIe9f//rX7pvf/KabMWOG+9CHPtTu8QdPPPGEgz+A3HhP7Te+8Q33k5/8xL3+9a93tdg58BmGeGuDoZY4ZP7Yxz6WbVthIEOo7ZNPPpk5QRj7D37wA3fLLbe417zmNS2u6edFkpIzYpgpfxNrGHmS6oIvOGgA/6lPfSoDHQPZ0qVLs06+8Y1vzPZ6/+M//iMbzLA6C5enFm3wYfHNcokv7uPi7//6r//KzujQ/v/+7/9mxn7ppZc2h4VLFmXxpZUBC+wvgz5kgkEMWCAgIHxCBzLEwIAIVGAE2WHww+Rk3LhxmdJqg0YevPgbTY5af8O7BbEfDkWFgb/1rW9tHshSfNWLZR4ZAzvg89hjj7nzzz8/c9DQ8Z///OeZowbOFl9sI6XXkB/ovvDCC5keP/jgg+7HP/5x1l64NcbLdanHmv5pcihjbxpe8BerV6/OIhb/4i/+IrO5m266KYtehA6Sx5RekzdLjlqKjtZf+ohHH33Uffazn3Uf/OAH3RVXXJHbD5TR+dBHhHJCH6Dj3/72t920adMyGd97772ZDc6aNavZN2h9yqO3qbpSObCCL33ooYcyf4WJ7ne+8x33J3/yJ80XJlh+T+tvKM+8PhV2B4zmzZuXyQwBRBjs8YHtLVq0yP31X/91pmc1HGKGH8ykoExxGCqWdNiuQidPP/30bNaO3w4aNCjrJA9oERKMGStWZgwDB338lrdEx0rK0Fkto5vv8oQKTB7BF4SPiLc3velN2eoLH4TkY9DCQAYnhG22xYsXu+nTp2fBDKQF2nx7RzIevn2j7fvz7Zw4XQH1GOIK3k477TR3wQUXZMqKaDOskoi11i7qW++RhW1iEoF8J4RlY/YCrDGAYUbFg120wzqgjWjPk046KVuNYdkOY+rfv39GB/Ulh8H3yCSe8R3fwZICETSs0A7KoLSgD15uvfXWTE4Ieyfd8A2uuH2NNn6HvvLtNYlvvkdmrfiAEXSa2y2o89Of/jSzCdhAbEdsh3xJe/soo/4xDxI6il2Pyy+/POMb9vaGN7whmyQyTQB6TZzRjtR2SLtee0u9ORfbMvoG/hCq/a53vat5WxF6iK1tDGQMQLLsje+RaecgDAaRQuQhO76xFvcXeGE1DduDvp/gt9ipE2yLwVd57S1sI/WOGn1B+EYf/BbSTcAHeMLC4HWve122WsR3lB9koZ2XUm/r9U3gXXrrjDfLM2IRAyp8AXZ3GG7PNhtpb5QzdAo+6o477shWYvg38MDf4BG+HLoF/16Lz48AtrY3iuX5+973vmzLCgYGJQifKsFMH3/gQOMzM86KpEgmRuxYkYWaY4VQLrvssuzP1772teaZHwYy1EFfAAyczfr167PvwrOHVGSQxTeVWYpaBK5oG3/giDCQfv7zn88GVwxoVBptzxfKa0UtxrdVwBDuv/9+9/TTT2d9xECJVZ9k9NgWwwe5NZjtYKYKvN797ndnkwHwbOVcwXAsvq2bDiSswAtkD7mgz5jVgy8YEvqED/gBXWvfXqPNxGLtrJS6pdGeMGFCq0RaOGmsXjHwU8+kQZL4S3gyL465cXCIsJ8hQ4ZkpLBqhn5ilY1BIrSd8MxH6ldMO+QtZW+pCGTLJthfrPahX9iZofzwt0WbD5daN4doEdXcAdEiSzHBg/8655xzMh6kM30ratG6HQbyS9mEZMvYzYIvhe1h2wwLhA9/+MOZ/MFfo3wTBzItahGrVRzT/Mu//Evmp7DFDVzjPM5G2VuoL8grxY4R/ABWh+ABvg6DF+wPHxyTiMEe2J/Hlk74Oe+885pnhlCaeNaEkftLX/pSlgcEINryA6FilYdtFnSAHxg6VhHIa4u3JDgD5G8BgDbTK8MrV5FYZWFbFXve+OB7bNFhEIMSgFcshXEGhf6gXLs9o15+uJ2IAQk0Z8+enQ2W+G/M1oEbDIYfKCe2yJBbAx6x7YpzTwy0p556arbV0agPZ5cYqLCtCd6JFwz4ta99bba1BtxgKNheo8FYK6a24nfLli3u+9//fjaY8gMcsUKiXkPOkCUMDAMw+mBdf5SXN+gnnOyx/sFg/G//9m+ZHuFFhfb+YJDAYIPz6c997nPmlXRHklcMfrBBbOFhFY5zdCwQcE7Wnh/4DEzQ4HMR9IH/1naHjhSfaJ8TMPx3HOkpXhoMxuOMbjhibf8aS+SvfOUr2TYQzjNS9xMW6TxowtGFV8xggMBMhzcCgC6dHZbomBFiQMPMBgNtIxKmOTjCUDDjC2+eAK/ABrMbGBGCYOAEsXLEXn3qbrk8OMGJYumP8xsMUFiFYdLBQRLfod+hPDGYYPUzbNiwZllhuwVYrVu3rqEDGZURfYc8wxk0toWxZfCtb30r6zrkhgRIzMqwfd0WeKUwBV4DBw5spf+QJfjBpOCZZ57JZAkjb8vBFf2DnDiYMb8tdW9iqk9Hshzyw4QIk0s45PZOI4C+IWDohz/8YWaHODvG7gzOW7Dd354f6BQmtuAHH9gkfFZ7frDagY5DDxnYhL8/+clPNq+A2pM/DGDwGRijOAnG9n6rgQwzS+zV4k/84ZkPjJfnSliewjFjoMG2FA/o2tLpoD04M2xrSh+s0ri8534xBlUcnMPpwCHgo11/VFYwMBZERL73va3zsbB9gOAL7PXivzGwAaswsKFI+8wTw/4xV2J8T4xnTtyKg1ykD7bHsCrC4IWlO/jC4TwHmyJ85a0DRyLd/sC9eMxUn3/++Ux2J598couD5rxtFPkdJmyYjEkfnInNnTs3i1bEtgZmrtp1bkXahtwwocDgja05rFqxqjlWwvDhULASwwTp+uuvz7b04U+0a8WKYFRvHWCKc3LgCF2CDUJ24LG9P7gBBf4SK0bIHeejWPm35weywgQTOxPACuf7UszEkeaRYw4DRTCYwU4w8CMuo9VARkei3TmG2SL2kjFrhRFDeR9//PEsYgkzHwwk73nPe7IQ87b68PBTm5ky+gajNI0egxaU4uMf/3g2eiPSkjOftuLLogMcoZgwoBtuuCGb0fz7v/97dkD5N3/zN82H90VWr1g1YIWJwSccxHDwyYmExRsUAEaEGSkGWDhuKAZTFOCgrdurG4EfjAbOGzlIvHYJ25yYISJgBQ4Jk6e22o6tpw/AGgaO7XZEc2F1iNUrVr9/+Zd/2aYDDbZWv/zlL7u3vOUt2bYcohfbe1WTFys4FeADOWGLDJhh8olt4vb8YNuOuVqIZsZq8WgYyOCr4Cf/4R/+Idv6/8M//MPsPKo9P5AZ+PjMZz6TnW/CZ0IHtTsqjxSv8P0Yc2gLiF7EkQgm6bBD8YxMMxwoKLYO4JwRaQOngtEa22XhmZQ04GgRiQCCZVq7KUPGYApHDIfM34I3nGmce+652ZabNqu1+Ap50wRm1edKEM4ZoeSYoWKAwEQAeFkfiy6cOw6vGdgBQV500UXNEYmpPnG7FbNl5GCgLhQ4T+J4inYeOUv9xmQkxgSTkb/927/NZvWMlioihzI8oz2sWLHCxwQEl/Ry648JmuBbm5BYuivxBf3AtiUmP9ZTGimbyCMHy97q5Rs4YYDALgijzkAjnhCl+CpqEykZ49wOE+Ibb7xRzHFN8VUED/bFoo1AIgRVwLdiwh22k+pTmXKrLvhA/i13uiTfeaTxgh/HNix8PfjBcQnOqP/0T/80iz+oMYySoDPENw4nB+OYqWPmzG1FOh5G5MAZcYsvpIu6+DcHPinoguHRscLg33AcnI3HdZk7hd/hjIXbn+gPBzDUl0JkUYdhqOQtNKSifLMeaNEBMxIQ/IMXGjtzgqR28VtGcqEc2AL/O++8MwuxR10EduBMjP1G2wxTl2jzO0aPgS6UgnxxQJFWPqSNtjS+2bYUEGTpFs85QzmhPbRDvKgbmv7w97EzTPUpHCRj2qCJFRlmpsApdMxMG+FZVtxuqAf475B2KKcYK2CPttjvmC50ia8nUMdi/bHkQFkD23rtzbIJ0GMaCM6L8W/upnBSqNky6XJbW5ID/Y0Wfo9yqQx8YKsM5eAr9BHki7RDeyOmxMuyCUZNSnzT1mPa9D8YMHAmxSAG8sSoRc030WfymCLWE8unkrbUX+DFQQyTW8l3arYMHpjaINGmnOu1ZfAEnhHhiYELmOA7DLrAXk2IlowyjBoJBQZCVFCsxiRhhklwkiPi9qBkWGFCokSbgkRHw8N37qtiBQO+itAuwjfaIR/8O8z1YDmDZzS82G+U0xhx3sY8MYTYI0SdQqYBWHjhN8SLvwtzvsiTFMRAvkO+Ygdqtc0yTbfwfezUGZ2UVw4xbdK02rZoc+ZJHY9lRX4tvKR+WViSJp9xifU2phe3nZJTKOO2tAnQhbywfQd7wwQ3Hrw1/ajHJjQ88uhXmNtKXakHL0l3U/7J6jP8JpwzJi7h5DDFU+xj2tqn4qgI8sPZv5SnpmEd21uZsSDEGnTop2ivIV+1eBsQFbBNEq/IyCC+l7ZRMPpCKNaZD0ZR7eAX7WrnMinaKAfoWh6QRZs5RmX4lgZJ4MVcMcm5ogwC0doFz+gTZ4FwakjoRPAK+ovwei1PDHXQL402854kvKh42nlkijbqQ8ZSODrKNKw4e7S26GC8WhCRRZuKb+W+WbQpR4m3PLQhfw1rDStOODSbAD3qhtQvSw7Ux6L2hvqaLbNd8CTZumXLdOSaHdNeJN/ESbYmY+qNpj+gHWIaO1H8u4xNhLYc0uYqVpJFI30Td1U0e+MlCUXtTRsnONlO2bI0BkHn8EfKN251RqYtU2lYklMOZ/lFytkmlTGmYfHE30ozkrCsKO1U2yyPZ4kWP/XihRUlQuwZ2IEzLewZa4EPKZ4tWabqlinXsErpVt7yMjLW9DalX3nwaJRNWDyn7Dglizz2JLXPelr9PHyVwatI3ZQ95pFxW+Al+ZCidMM+SSvYtupTUdpFdDfUrbjdum+/Txl8Vd52CGD2ipUYthMxiGGWwxB77Vqatmu9olQhUCFQIXBsIFANZEepnDCI4cAV0Ym4r46DGFZjWInhAPloe2bhKIWyYqtCoEKggyNQDWRHqYAxiCH5FjcRxIOYFFhwlHajYqtCoEKgQqDhCIhXVEn7nuBE+55lRcsZGWa1a9FOoUT60u+ssjL9SvFrtcs8MSSa48Ac24lciZXhKex/UazL4JWSgyXHRrWbB09L9/PwpfUrhUeqvCheZe0tD19F9KuMzaTkcDT6iFCvpL6n+lSmPFX3aMSLGElY1eA0ww/OZBgtEzs+lsV18Ds+/aAdTvLpBymSCXX4pInEJJ9+kGgz9BxRb6AhrVbAtxYIYNFGv/iMixa9A9poM46k4tMNElagy9yMkF9sJyJP7O67726+OxE5YrixO8zlQJ04/y+UlUSb5cSLod0xXinalLO2KkS/ebt4bAwaVpA5dYuyiusy10t6Hga/1WijjHktmnGmaKM+5Ag+Yx3MQ5s8xO0DK8hKswk+zxLbBKK2qF+gKelYirZlb2VsGXpBvKR+WfZGvdXOfzXfBAwsvWUuIvpl+QjwZj3joumPZW/UTc0m+BwP7g2M5cwcV82nUm/r9U3gibSlPgGv8L5PzadKfq8t7E2TM/USWMX+thaDgA5qoaJQTBCQgIMQWFcCh4Oj9owLylFmzUy0dsET73SThE6+JNpMCtWUweKbCiHdt8fwVit8FbyyHHxAQHjuJbwAGNc14TehcTOHw7rPEr/R8GLoNOQZ45WHtqYDVGLtfj3KQQqfpm5p6RkMc9f6bNEGdiHWsX6maDNEWuItD220J/GNuhpW4NfSW9QjjkVop+ytqC3TuQErTf9gh5ofsORk+SZLb9Ee8MJvJJ0P7VgbyDR7oi5Z5eRbS0mhPcX+yZIvB2/LFi2bsGiDD/iIPD5VsuU8NqHpQCgLLbld8ree15a7i2ReYpDPj1hPVmhlUCCCIw10fDBNm/Xge402eMUfLRxdcxagyVl2Ub5JO1ZC9JcGJPWJhsd2MVPko5j4DonOuDuRzjPkj05O4xnldJJS2+RLu09Tm5mCFmhz4iDRJh4SbxpWlK2FVwpPizb4tfBI0QZfWr5XHtqa7lpYsY42sEN21DkLa01HytibZcvc+bDy4zQ8YBOor/Fs+aaUTeT1EUVtIqVfxEybRElyTvkm4GH5VMsmQBt4l/Wp2uIghYdl65qcQ92K2+0weWTWANionBk6dmnb0sr/COvhv7GURp4YoxOR6IztRCt5vEx+CduXMGur/BKLtqT8efBqpIwt2mXx0mjnyanStsTz8KthynY12mV0IMz1qVe/yrab0qE8+lMvz7Et11s/xCu2izJ4WL4pD8959Uuz5ZR/KiILC6sqajElsQaWY6AKk53D6ESeJVir3wayVpGuEKgQqBA4ZhCoBrJ2EhUGMVxket999zUnO+PuxDBPrD2eLGknOKpmKwQqBCoECiNQDWSFoStXESsxPIqJp1iwEsMghjOxagVWDteqdoVAhcDxh0Cr2++xD8korhCOMPRYCsfkQa0Wls39Xqk8LLP2XKW65Cvc94/FqPUJv8vDNwMztP1vrU+kz3rgFX8wiPEWewxcGMCwEsN/kxZ5LoK11acUXnnwIG8aHlq59n2oW9q5APfHLf3SyvL0KZaVpEMSb2VoWzK2bAITn5AXTf80vU3ZW54+abKM9VfDMeUHLFuTfEQZnUdbjbK3PLSpe3G/8sihiG9K+b2Ujwj7JMkpD9+WvWn+2vIBNeaqkCHmWcTbWugcc1fiOqjLGH9tLsA8MikPCAzyEUpJSXleJNEGn3xbR8sRKUob7TGPTMttYT6OlkcWYoWBCnliuLEDyc7gHe+J4QXkOB8J9VJ5LRJW4Jl5LdKBK6PskIMi4QUltB6xzJNjpPGtYYV+MJ8mlUdWrxyAB7HV8GJ/Ndr4HnxxAAn1MA9tzWhTNkG+Yr7xRhTxAm3JHlO0LZsoY8vQH+Il2bply6l8LM03EV9Nb2FnfGYqxC2UI32btCOSsgnL3igfzSZCvY/lbOV6gW5KbzV7Q13SlmyCPjW0y9j3WrTz2ARoW7YMzOMxiHpJWwx5qkmvAuMKfS0MFd9LdfhQo/Y0BMPjtfwRdEy6np+DJOhrtHHehHsHtWcWQEOjzUGwCN8EEu3GAxn7G2IFAfz2t791Tz31VPN2ovYUC/Dgg6WxEkHIoK+96Aw8oCQaHjBWyFgqT9GG0Vq0GaquRVxKWFHGfKJBm7CAtnW/pEabuYAaXgxl12iTL+upDYs2+iM9l2FhxVUT6ErOBvTodKW2U7TL2Jtly3RA2uvWlp9Af9Bv60klzTel9JZ+x6IN+WsDWRl7s2yZIfSSnBvlmziQYSC0fAgws/BqlL3RXuIxiA+ngufY31ZnZNoSso2/53YiQuwhoPPPPz97U6wK6GhjoDsIOTg/vIRbfSoEKgTSCFQDWRqj0r8IBzGG2OPqqSqwozS0HY7A/Pnz3Ze//GW3efNmd+2117rrr7++w/Wx6lCFQFsjUA1kbY1oQA8DFaMT46dY8DPtnr0GslSRPooRWLt2bbb1PH369GzbFy+C46l53PJSfSoEKgR0BFoNZHxOWqoSXosTl6NMixrDby262EYpQxv1pSu1yGOKtrW9Z/HNfkltY28ZT7EgxB6PYuLMCCH2+IMP9r+Ltmtdx0WeLKW38CpLO6U/mpzwvRaMwT6lyjXaeWRo0aZ+ajaRkqMmizgYZ8CAAe7Nb36zGzhwYFYFEx3cvSkNZHnw0vgqa28WnuRLa9vyEyizboRItWvJoQxejbYJyEMLukjpVqq8qE3k8alFaVv+2BorWE9qt4YtjPCDgATt0mCU4bA2rkPHDOesHQ7iYBEMWLffo64VtajRZmShdlgPvjXaCARAn4rwjX6DNtoNwQXg+B6RicuWLcuCI7CVeMopp7itW7dmAz4jnTSe0SfrfjbgqQVzoD9oQ6ONtsGH9GGEVlHa4BsrUWnbVMKKPODCZPAl6RadOv62bvqO5UDajKLS+oR2LdrAc9OmTSLe9dCGk4Zu9OvXL2svPmhH39g/tLl8+XI3derUDJfwdnTQQPQrdAB/S9FflhwYJVzU3ixbhv6A940bN4q2zqhFyd5ScrB8U0pvgR/a1vSrDO2UvVm2jD5Tv2Lf1wjflNcmwHMKr0bZmyYLBgpBt1oFe8BYwg9vbZcGFJRBieM6qM/cAW2GgLrWKM/IMs250glI5VBS8CWFIeP3Fm3mLJThO5ztgQ74wVbiiy++mDkm3Js4ZcoUt27dumankwcvbRaZ4jlFGzht2LBBHMzK0rbkbOkWn9iQdIv6hb+1WaBFO0+fLNowamz7STpSD238FsaPQRE3ukBP+MH3CP4ZO3ZsNgB84xvfyHTlda97Xfa7pUuXNrePQQDGDDlCp6RnXBppbxZt9BG2uGrVKlFWlm5yR6cRMuYzP5p+ldUfyz9ZtDkAr1ixopVrS+lWHhkX9SF8KoWTi5i5sngVseUQq3h8qmGVEH5gtNbKB845rkNHA2dkrQKsrQGrXc7yNNoLFy7MZrnDhg2TxrksX0rrE5QFwmorvmHESHZeuXJlNohdffXV2XZibJyY7aBf2goDdLRnbdBJq09QMvzRaCOgYOTIkQ5bWdKnDG3wzSdZYtoWXWzDvvLKK6JugQ50C8qrBchYtFN4pWg/++yz2UTEsgutjO86hTsRCxYscPPmzcsGNH6wOjvrrLOyWfC3vvWtDIsbb7zR9enTJ/sJtxv5+3HjxmXymzhxoihDSw4pPFL2xjBobfKH22pOPvlkceC3aKPvsEctdaOMjDFQgO8JEyaoOg8foG0xl7UJzZbR5+eee07U+7b2TWHHOeHQ9Hbx4sWZ/xg1alTdPiKlXyl707CGT4PdnHrqqa14anVGRicoKSnKtD1s1hN77b/k9oc2qyVtbSUobZ+wLe2WAZaXoW3xDfooZw4LoxNxJgYFPf3007MbO6QZJutZeOE3Wl6LhUdKFhZeTGhN8WWVo79Wn7Uy63yEs09tIAvlEPOWwiNFG3xpeOehDX5C53zSSSe5z33ucyKEX/3qV93q1avdJz/5STNnjiubInJgf/B3EXuzbIJ84TeaD7GwtAYyyzel9Na6AYN23Ch7I9+S7tI3SbLIq1vWbhJ9U702kQevorRT9qbJmVhJ7VZRi5onqON7OGZsXWAlhkEMioUzMcxmqhD7OoA8zn4an2Nh1fDTn/402zZ86KGHsknj29/+dve2t73tOEOm6m6FQH0IVANZfXi1+jWfYkF0IkPssZWIa6ewPVR9KgSsVVM4mz7hhBPc17/+9ezsEttgWC2NGDGiArBCoEIggUA1kJVUEUSNxU+x4BLg1LZAyWar6h0AgXhbD2cSCPaoPhUCFQL1IdBqINNyGkA2lWtTtJxtavUtntjdsm1rsFltYzsRFwA/8cQT2RbiJZdckt1kj61GLdon5Lc9eE7hlcK6THlR3aLuHat4FdEt1EHkmHYXnoVFCq+y9pZHjkVsuS36VBTrVJ+K6l4eWWi+tYyt5Wm3kX1qBG3SlGjXeAs2FYC3GscHiKjM26fjOqjL26WtqB/QlA56mdeiCc66qRmDBmhi4ECklhQwAH6L0Ea/mKMW8o1BC1F2vMUetHEmdu6552Y4sD84lJSwAl3wayWQp27jJl+S4Vq0wSv6AqwkvMizFgKd52Z07dCcWMS0wRN4YXitJEPe9K1hptEGPuyv1qcUbWIiJezmoQ0eNL2Ebmu5lczXim0KkWbhLe6SjjEPyMrb1GyijC0zSID6G+unZcupW+Q134Q2LL3lxBL90myDvk0Lripqb/Qhmk1Q7zEpjuVsYaX5phBvyyZ4IbFkE/iO0bYWXmhLC9yi7kr+KWVvmpyZryfefh+Dx4iz+Hv8m0zj79AwWca6sdGGM8C4LmcOzHeQ2g3pS7RDGpKjs2iTZ42vuG38DjNlnIlhJYZynIkhBwhbQ1DYMHdDGtiJRwovrVyTUYgDlSzGK8QC/x3jlaId8i7JgvQlPFMyTs1MKQtpUNBoE4dQJqFx5dFNa3abBy9JFimbCdu0dEjCLA/tsjYhyQLfUTZauWbL4aBar4+IfUjsPEMZS4N3Cq+UjDW/GMpQsuXQp8Z48d+azqd4tvQ+VTeFF2lLWIaysHxqypZjew3bkurW4vwpOGItYxujOBqQ8pMoKC13CQ4TM1otRwTtajkNKdqkW4Q2rz3JyzdmC7g2CE+xoC5usb/sssuaQ405o2OIqPXsiJVHBjy0G1YYPq/RhqBZX5oRUYbabB18FaWNdkFXCzXWbpNAXzXd4ooG/dLkRP2RnD5DwrU+MfRZow2+UFcqz0Mb/Et1LaxQx7IJ4oXfSf1K0QbfRe3NsmVgSbwk/UrZMuprcuDNQRw4Qt1GPfzRZAxerNB+0EZdK+m9jE1otsxBQZJFvb4ptnX6cskm2E8Na9gvMEv5VM3eNJ3Pa8vSGMQBTPIhrc7IqBCSA7TyfKx6ZF6rz7paXkuKNulLPIdtS6CnaIflWNLedtttWXQiaDE6UVN+jZ8UHqnyeni2MNFk3Gg5a3JI4ZUqL6o/Vn/ZZkp368U5r4ytPuXBw5JxGbwsPCx7TPmXorpX1iYaxVceOYfOXRqcU34tVV7W71k6VJR2Ed2lbkh6W0UtWogeLsOshDd2cBBjYAdmPVpiYA7S1U8qBCoEKgQqBEoiUA1kCQAxiCHEHtuJDz/8cLYS4yCG5TevAioph6p6hUCFQIVAhUBBBKqBLAEcrp3CdiLOxLA3j/B6/Klu7CiocVW1CoEKgQqBNkagGsgMQHEmxuhEnIPhTKwaxNpYAytyFQIVAhUCJRGohU9JgBact3ThJ7bUWBbXQT3mF2mHtYj2w2DA/ISQb9Rh7oB0eMg3jCTapMlnXKTwe/CtHWxLtJknhu1E3J2ID/LEcO0Ufo+2+OHzEHEkFfNoJKxQlzkzWl4U337T8lpCHmIdsGiDT/QB/JH3sD5zuTS9opytfC78RnuPTDpPhMyJF1bAkpyZewLepY8mB/yWeYZan1K0UR98gc+Ytzy0yUPcPvqsvRJOm0Cd2CaQJM08MZRLOpaHtmYTZWyZl/cCL8nWLVum3kq5ppZvQpmlt/ARfPdLy2+D/oC3trY38q3ZBPMBw/fmqCfMI9N8KvVWwpntauf3pC3ZROinLbysS4OtCyFS9qaNQdRLPjET8l6LHxtkWK52czUcofRAIRQADWmPF6JR0JTCPRkxhLrSQMYH1TTaaBt0tfBY9EmjzcRA0kb/YIS4duqxxx5rjk7EuRjOy2IHTtpSSLCGFbBgDpfWJ2CCPmmGBRpaXSaeW+UaXuxfUdrgWwvbtbBiAqUWEs48kpSMJTnwtm2tTynaoAm+JN7y0IaspLoWViiz9DYMFZf6laKNcs0mytgynRv6K9m6ZcvMO9J0wPJNKb1l+L2VZgNMG2Fvli0zHUGSBV+RL+JTObijrmQTTKWyfCows/DSaOexCdicZcvQgXgMwr/pU+M+1eIvCKzmmBnLH4/kVj06bv4mrgtBs0wayFK06YgknjmjRVke2nCo2E7EIAalxm0deIqF+RR58WJ7Gk/83irX8ArxlGZUdAgpPFJtF6Gd0h+tT3nw0nSvHv3S+mTRZpmEV6i7Gm3yV4/NpGwiTBDVbLVR9pbHHi05W2Xst4ZlUZtI+YhUn1LtFuU71PvYP+XlKWXH9eoHfWZ72ZvW7xCruE/HxRlZnz69vGw6SbbR4jusxDCIMToRZ2IYyLSkQFTGYKcpUrLBBv6gc2e9v0zibWDzFekKgQqBCoEjhkCHHMg27tjnfvLgWrdgFZ+S75Rt01x2yiD3urNPaAVu+BQLBjEMTAjqwEqMe/7a43Vd/fbfb57Z4EYN7O5OGdP0mq/2eezlrf685pCbOaW/6+yX1p26dM5++r37V7kHX9ziBvbp6v7wwhHuxBG93KESKtDVD674/PThNW5Y/+7uwqkD3I49B9zd8ze5aaP7uIH9eldRlyXwrapWCFQIHF0IdMiBbN2Wfe4HD6x200b1crNOHJAhvmvvQffDB9e41Zv3uPdcNrpZClhR4SFDnInxPTEMYliNoQyrNCvU/ukl29z/PrHOfeCaca0kGx7SPr9ih/vo9xa6K04f7M71A1nN7z/70AH39btWuIcWbnGzTxqQDbz/36+XuE/+7iQ3tHd6BampUic/EP92wWb34e8udH96xehsIKv5FdrS9bvc/BU73Z9cPNT17tXj6NLEipsKgQqBCoGCCHSYZ1zC/vvFjhvav6u7bsZQd8Vpg5uLpo3q7f7f/y5xk4f3cpecPCj7HhEwv/nNb9yWzZvddW98nRs7epQ7YQQGuqaBpFcvbEvK66Ntuw+4r925wl1+6iA3aVjPFiLA/nIXv+Lau/+gu+nJ9e7zNy31g8h294YZTStClC9ctcv98tG17s+uGuOuOWNI9tsP+cHnV4+vde+9bLj/VRdRrOH5iPSDdVv3uS/fscKt3LTH9evZRKN7187ud84d5gfKV9zjS/f6/surxxTtMuWpupYOp+pa5WXqkifpfJVy1MpYrk44sCqHsgoffm/RLooX8SjTp6J8p+RUtk8F/aD6OkZeGad0oAheZfU2hXVR3Uph0ii+LZuoxaGuDI+VttJQhlWGFB7LelroLOtqB+asL4Gbos0Ir6a0gabtOs9mtp2GQWjvnr3Zqgork189ts79j/9zwbRB7uC+Xe6WW25xK/0T829445tc536j3NKdB92SxTuaoxMPHjzkB8VubtyQHn5oO+i/P5QpPfBZsHKH27h9vztrQj93yG9dHvB/QrBHDR/mf7PT/fzhtdmW4QMvbs744ufF1Tvd8IE93Klj+2T1u9U6u1P99uRTfpW3bdch16dHE9YxJtjuBCYx1lm0oucPW5UDenVxr/fbqPv8VmYWFerrDO3Xzf/p7uY+tylbqXbz0xj0J/xotPkbtmvJWVNkylHSAdDTdAttoy5xl5xViraEV9gnizb40uqD7xRttCOt6tknSeeJBX8T9hlyDs85NXvU5MD+SLSJdapPWnAD+WJUXCwry5bpI7QdEMs3pfQW5Twm0PRHOz5I0c5jE9o5OvssySLl9yyfGspRajtFOw9emozz2EQeW47lEWLVKtgjfsuIT6zHP8S/+TZN/I4VmOIbRtKbTShHXZZJeREoZ1RKqGioiw6AvkSboeYM6+3SpWtz9SYHccht9VdMYWWFP1g5Pf4KBor9btGzT7oHH3zQTZ8+1Y0eO859de5qN3feBtfVD4acKO/Zf8BdceoQd8OcEa7Lob1u774DruYdSRcf1nrfC5vd+KE93fAB3d2B/fvc7r37mgcd8LNl+053yvhh7tt/dnI2gD380hbXNG7g/zq59Vv3uoG9a65395oflHzuVWcf/tulk9vkB0es9nrWDniaTQ48/AA/0I9l17t3L/e4P4e7328r/sVrxrjv3r/aD2xNOTb79+113bv09INuX/d9v+2K1drYQZ3d7j0t87JAm7KKDZ5y5lM1sRwpZ04s4nJLt/jWkPT+EekSB01/UC4ZLfpv9Yl8NU2AWg7soMn6WvpFijbogk5Im32iw4jbDWUcyx95ZOG7cLEe5KFt2VtRW0a7vHtUelvMsuVQd2KsiB9zk6QBx5Ixfs/BRnpPj22jHU6oYntLyZhpB5ZNxLTRLt8j43tnrJ/ye+QZ+p5NVCO9Bf8pn4pyTBriuvSp9LvSREmzZWKo0S5qy/Q9wJk5ySHfNekFWi0/AETQyabttpYfdBrMS2X4JQDncyvSjAjfaa/hpmhDGMhJaJ1/AqfUlPfWs2cTz4P6ds2227ASweOYqDd23ATXwy9P/vyq0dkf/dPTdeveVLp730H31Ctb3Zl+Ndbdr6Q6deru+rDQl+/zWGzatCkbEP0GktvrR5RXVz+HByb/F4VR69pEOPs36viKNU+vTzeZG/QpNuidfgX6M7/6u9qfw2HF9dW7VmaV8bsufhDDZ6xfWWLVttYPohOG9ne9a4c7dLgZtI+2NVnQEWi5PiCj5b+hDPohrUDoKKz8NdTT8los2nQyWp9Sz2VQ5yXe8tAGb1rOjIUV6vXpI28BhzlPWr8s2paMU/Zm2TL0h3hJ0b4WbTpV67kdzTdxhWhhATw1vUV9KXeJNmnhhX6iX1aeovaMC/oMvCQ5M9neosvnVjSfpdkbL73Q/DVzyCw712jDJpDUrNFO2Rv6IsmZixlgFfsQMdhDGt11595UkqqjzRrCunSicVsp2ineUI7ACvz/lp1+tbPrYMYvAL3wwgvduTNn5iHR4je7ffAIti7796w1r97CHyCaccKE8c1fCRMmvzrDoIFB69Wa+E+s2qTfh/SlWenPHlnr9vu67750VPZTbLJ2rbVczfXz/G73q70VG1+9nSSkm8LakiPpWDQ0GacEkOIrdDj16k9e2hKPqbpFy1mvKF6WTaZo5+FZ+01Iu168yuhWiueUfuXBS6ORaruo7yuDR2iL0sQxxXNevIrQztO29BtLbztk1KIohMP+fKV34EP7dXV9e3RyI0eOciNHj/Gz/K4+0OKQ+9Lty9w9PkQdZ1V0/3t8AMYVPpjjhktGuR4+YIIfrrQwGOGzbfd+96XblvtzsC1+a7KTO3dyf3fj1WN9HV0lBvnl1rbd2/z2od//O7zIxSCG863e3V9tS6LwhN8e/deblzqswnp07eT+4MKR7pan1ruX1+xyv/eFef5s7KCbt3S7m798h+vVvYv7o4tHZn0Cv4hgRPBH9akQqBCoEOgICHTYgQwDDbb88OF2w7PLtrtn/J93XzLSbyV2dhMnT8mWqHv27Hbde3RzrzvrBDfLh8bjO66SsA2HIIlufnAKP717dHFD/IC4ftu+bHDo2a2Lu27mUDdn+sAsRwwD5Y6tm12PwQNVPZnkz9dWbNjtnlu+3Z+zDcpWiQgAOdFHVfbrZYyAnuKEId19yP/YbJsQuc9j/Jbh9FFT3Ga/4tzjtz33+rO9z/3PEnfSyF7uMh+hSe7BL3hF3lv1qRCoEKgQ6AgIdMiBDIskBEw88tJW19dvpeGzE3lkPsjhzPF9s3B5bLz5ncVsbxu/x2CAQJA4jN6vYQ7LueVAhlXNeX7VhZURVkV9etTcFD8A8XNw/x733PzFbvDhgQzrNmxF4myNn5N9cvIsnz/29bkr/RliJzffD7IIwnjPZaOygRRbgKt83hvOtTgooy72oHvVEC3Zt5UOjg2+6dltmRvpA1FQn59Fq3f5A95ObtgA5fCtI2h11YcKgQqB4wqBDpNHFu7V4oYMBDsg+XfRmt3+dAyRZ4f8ymSg3yIc0ULATasvPfl49+6maMuuwlYc2vjlo+t8ovFuN90PSuEHW5XcdsT3NR8JeeHUgW7cCU1BF4cO+VB9//dfvX683yJc4r546zI3wEcwYjty8rCmARGD2NfuWu7ec+noFoNkFh326ngoKixy0pBkPekwLf4ICdxT/YCLGz+kTwqPMuVWXUsG4LNR7eahzd8UxUvzKCk8UuWWp0rVzVNelO+ieJXRgTL6kdKBRtPW8Gp0uxbeZdouU9eSBfmV+K7FobsMrY+DCZq24PZkq4G4DhpnNJsGDkMmpVBObKnxan+pPnMepDJEUDG6h6Hbg/0Z09/97sTDduhzyQ76nCsfrt6pc83nlPk+BJEUFm0QYFhsyDf4RbQQBqVzJvVz9z6/KRvI9vs29h3Od0K9ECvw+T6f+IzQez6xgfI+fXq7v7h2nP9zmN1DftWGJ2/8Cm2UXzWdOa5fdjZ3AFGh6MPhcHDeFi85m6b8jk7u/X7rEStK/BaRYC/420WwenzzuUNdJ7SzZ1+r6uDJoi2FL4dE+CyFlAvEp2fiEPlQt+LUDtKmfvCW85hxjTZ+R/3QcnlStLWQ37y08Tvp8BrtQlZSdB9tQkpJQSQZdJ06KdljHtqawyljy0wn0J7/sOxNCtmPdYtBWrH8Lb0FhkzPkdI7QIu+zXrGRdMf8q0N/MRCswlG+cX+jeHvmk+l3mo5nZZNkLZ2oTDwQrsWXuivlhPK0H8Jk5S9aWMQU3QQEdkqj0wCSVLw8HdanTwzsSKzAGskjsuyf3dqeooFOWJLly7NBHLuuTPd+PHj/erKRxkG6Fq0w9lBzDeaQUTgO+eMdP/kb8t41OeInTmuKbQ8xC+sx2TR8DcYU7MQbuQZZU63KXgEglq2fo9bvWWvO8GnDPiRx6QdKgyMHXTwNxO4t+064H7pE8Gn+ttNTh7T0zvQV5O3w7pF8YhpaHLWdKuR7bY37Tx2IRl8rEvxb/L2S3Ow2kCWl27KD6TK6+1PaI/11A37o/W5KG3Ws6JLLTnGvEl2VMRnkk4RGcf+qx5bDnU9Va/efllY1eKcDYzumPFp2eD4XsrzwAoOI6aVA2LlkcGZazkLfIdGo42cAwR0MMcIM6A777zTPfTQQ9mMAo9ijvUJz8wlC5WFt9cX5XukD5r4c78d2NMHj9RqXbM/+ECxLawgFPQ5nI1jgAU/+AO+h/lrtq4/f5gPTGm6ZgqDMGmDvsYzV6looymHrIs75AeuN/lglBH+zGzd2nWud59+Yp4HQ35TtK23hNAnafZJ3ZIUGLID31aeGOpp5RZtruI0nml8Gm3KUSrPQxv0pbYpf+smC80miFdR2il7K2rLod5LK03LliFfS68t35TSW75Hpr1kAdrhG2/xxDCPvVk2oeWRoc/QL0nOZX2TZROgjbY1npmfZuEFniVbzmMTeWxZupSDWMXttjojy5PzIM3wUjkPKbosl4DR6h48sN9tWLfaPff0427QoEFu+smnuG49+7i77rorG8RA68orr3QzfZ6YlihZhm/gsN/f6DHRRx/Gn1SuRKpdLP379+zuz81a37eYqiuVI1jkJH+rPj7PvbzBjah1MwcybRZfpG3SSslYa5ODd6pcmxXn4dmibbVfhnaqrvWgYhn9Yrtl8NLa5/dWeZGycALX1v6nvWmz/dj3pfQjb3k9PjW21ZQfKEo7jy1rPlXS22M2anHd2tXuS1/6T/ed/7nXrd3i90z9CuXUKSPc7DMmuq7de2UrggsuuMDN8bfY82oYaymbcmRa+R5/j2Pnzk0vl7b1B6H1hzMI2pR0ygm2aWMVsUIIYFa7wt8BOnToUHWnohDhqlKFQAdE4JgcyLZu3ug+9OGPuh8+stV1O/W9rtvAse6Qv6vwseVPuAf/+5vZjfcf/quPZ++JcZuuA8qucJcaMaAXZqaqKCKAB17/8z//033uc59zJ510UoVShUCFgIHAMTmQfff7P3A/f2yj63neB1y3Hn677KCPvvMJy30nzXZb/J2CLy7/nhvQt3o8stL8YxOBdevWuZtvvjn5Ft6x2buK6wqBtkfgmMwj+8X/3ur2jLnCDcAgdmDvYVR8tN/+3a7PyOlu1brpbu7dc91ZM87NyopEKhFqq65FO7XqKUo31Z885fyNpE5l+Eq1nZKDpd5l+CpTN9SDonhp/WJgT1iOs9Gf/OQnbvjw4dlApqUblNEv4pGKKtP4ziPHIrTbok9FeC6jt6m6qfIwEi/mvazepuRk4V2m7TJ18/hUie/a008/3QI/3uYtKQTKYFxxHfyWB4/aWRHqWh202iVtGP6+vbvd8uUrXZcTfS4U2g0Z9UnGtW693a5O/dyTTzzpFi1alD2cmYd2W/NtYXWk8NL6BEwQ2alFyzUKL4suHDjyRyTdAl5l9If1i8oYryQsWLBAPQdN2Qza53MbiPQaN25c87NHtAmUI7jjmWeeyf4+//zz3Te/+c1Mu5cvX+7Wr1/fHCGG8ldeecVt9o/BUsdjey2DV1lbhn4999xzYkSbRTtPu9ZZtCUH5olt8086ab6trH8qol/oM/BqL5+q8cxcrQ0bNqh4FZVFUd0kVrCR+FObPHlyi+/QAS1UFGXIy4rrgAATHbVwYSbZasmfcKxaOGdIG50Z4R+sXLxrkx/Exrfsj88fO+Cvhup6YKubPGWKG+1fez7gr8AA3xptBIIg1LgI32gctBHCGgsV/YWzkbBCPSZRauGvwANYaW8vgb4W1cbEQY02nN8JJ5zg+vfv30ohmFhalDYHSGmQ1LACExgsVq1apeLFJEotRN6inXoOI0X7xRdfdGPGjBHxzkMb/aMsoCfz5893n/3sZ7PBiYE3AwcOdO95z3vc888/n7UFB4Jgj5UrV7oZM2Y4lPMDGlix4TmLUaNGias2Sw5oM6+9SV7MsmXoD/BCzqb2jAvsWbK3lE1Yvimlt6tXr87sHNhKnzK0U/Zm2TL6/PLLL7tJkya1Gvgb5ZvQ/5TeLlu2LJMf9EzDS/J7eWin7E2TBXB+6aWX3MSJE1snRMdh6VqcPhhEGRyUFMqeAp3v7mirADhszXnGtK+5fI574L/nuv3Dp7qufnvx0H6/vYhE5FpPt23Zs25Mp2Xu2mvf4Y2lKSyes11JIDAAKJM2kKX41mhz28h6Hwlta4MN8AhzhVrNQLwcNLz4iKBGGwqKt4I03sB7UdrMFZQG4JQcNN1C38EzZsxaXotFm45b61OKNvmS6uehDf7DAfj000933/rWt5oHMdAA/1hh4cXyW2+9Ndv5wKQRDu6cc85pJSvoK/i23m/TJkLgpx57k3QP9TVbxvcYZLVcQm3iCIyAhZXPp01IwaOlt7AF6I+m88wV1FYZZW1Cs2W+GSe9R9Yo3wSsUgM/+MIfCy9N9/LYRMqWJTnDr0EOffu2vmO21RkZOog/2kpAC91mPXH4PgycticLmqiv5bWEtDG7GTVyhBux80n3yv1fdr1Pu871HDTa30K1z21b8qDb/9xP3TveNcfNOPf8Zlby0tYGOmsvmbzFBsA2LTy08w8qmrZVkgdrizbx1vqbh69UvzT9sfpkpQVwOyLVruSI8uBlybgsXtJA0K9fv1ZdwXdf+tKXsu+xlfnJT37S3XDDDaIzSeUQWXZcj73VaxPUe02HLFnktRlLtzT9yItXUf3JYzMabfIW62BZvdV8U+hf2guvPD41lnOoWzGWx0zUImaXWHIiLPnFRS+51197pVu7boN7YsVP3cvzDvhnVpw7e2TN/f6H3+hueNd7NPlU31cIHDUI4GwEs15plYmt3z/4gz/I8siqT4VAhYCNwDExkMHQN23a5H7729+6hx9+OOvRm978FnfOWWe6Bc8/6x5+8CHXr38/d/6sC9ykE6dVMq8QOCYQsGaluKnm2mt5k/Qx0Z2KyQqBdkNAHMhSYbASt0XqkI4Vgorf4LwA10499dRT2T43Ep0vmD072y89e+ZsN3rcpGzftFev3iqQVjhwCv1U31LlKfpaeVGey/BTpm6efjaSflG88vBdr4zy0rTwgN7jLLPoJ4VHqrxIu42UL/hpBM+xH4r7nepTqjwP3xKNMnTL9imP7NtDFhqWtfgJAOxD4lDNOiOTng1AHdTVnhTg99ozLmw3BAc8wJixnfjYY49lB+IXXnhhNpChDLTw+82bt3iecdlxT/G5DIk2BZWXbyu0tunZlJZXVPFaLAsP7I1b5aArfbj3rdW1+gS8eEYinUmkaKNN/tF4Q7l2HiBhBTrkxcIDvGvllLHULuqkdNOiTTlJbeehjf5JdS29RJsIigBescOA7oeyK0K7LWxCa7coXimbSfkmTcbALzxfkc5iSbut7Y2y12y56WHfQ6KcGbRVROdpU5q9lfERKdp5bCKPLcdjEPVD6pP4HhkYjR0CGmYuRvxmFMpodMyXCRWCdbNb2L3QJEWK3yPDamvLli1u7ty52SCGz2y/CkN+DT4Y4PDhgIb2yV+sjNpbZ+ArfJcn5qsI35wxWG+3kS6DW7R26RDicvxbezMMtPmGEAetEA/Ih6G3El55aHOg0vimIsfl1ntk5Fl6j4x40aFr+iPpLY3Owov6gd9KfYKTw2+gk3E5y6QBlHxTJ8K6LNOw4kCG4KZ4IEMkWfguXPweWR7alk0UtWU6J2IS27rlJ+qxCSslRZIDfs8UnvAdN9pF2DadZWgzeWyCwUj12HLoU/nuIevTN4Ff+k3Jp9Lf5vGpYX+Bh0abeNGXSANpnvf/LL7rteXQr/Fty7DPNSm8EqGPkrKgIr6Xtjv4cJ22FQJGGFIeDzRkCHXZQTCLM7Enn3wy+w4rsSuuuKI5pDcMLYeDwb+t28JD2mH7FGgRvkkH7UoDP/qrha9yVm3xzNDcGC8ajRU+D+XTaAMvyFgqL0sbvOJMUwuTl7BCHeiPplscoKAH1lMsGm0OvFYosUWbfEk6koc2+NfSOzSsaBPgOR7IQA84MLxd65dFGzQ1myhjy9Af4iWF0Vu06fg0rICJ5pvQLmzQSnex5ADaIaahzbWFTWi2jD7TT8RyZrh5W/sm9I27bhpt6A541mQBGpa9lbVlSc5MhYKMj4moRUQn4j0xBnbgFnsMZFreSuzoq39XCFQIVAhUCBw/CBxVUYuYkXAQw3ti+Fx88cXZIGZdh3L8iKvqaYVAhUCFQIVAjMBRM5BhtSUNYpdcckm29Oa1JZUIKwQqBCoEKgQqBEIEjoqBDCsxJIfef//97pFHHmleiWEQyy4K9ucn1adCoEKgQqBCoEJAQuCoeMYFETB33323e/zxx7MtRITXcxAD0xjopAPvsENWuVU/RbtoeR5+24tnYiopRNH+klZRrDsyXprryYOVhksZvNiuRbuMbhbVr7boUxGsUz6m0Tah4dXodovKuL3wIr8S30cs/J4hk8znADNYbWElhkEMIfaIHEJ4/axZs5ovtQRoVjhwGE7OEO5YmcuE38d856GNvqEe+hqHRlMJGGaO30ohu6wvhXyXCQcmXmhfwisPbebvWeH3iHqqJ/xeS+0gXgxDj0O6KQ8rHDgVIm/RhnwoRymcOA9t8qiF30tYhXKIDRcRXWEYuRV+b9GWHCW+S4XfazaBukwnoP7GfdZoo26YemGFsdcbfg+dZ7SkpPNh221tb6EviGmzXegQn02Rwu+tlCaUSfmg0LmU39PC74kX+LN8KtrQ8jattIEithzyAqxiW2y3rUUwhkEMyc6PPvpoZusM7EDYJ3MXUrO0aqFdIVAhUCFQIXB8I1CL8wQwuuM7baTlcwcxbBghMevR8nyYg8b8IswW7rvvvixPDHXPO+88d/nllzeH2Id5SCnazE/Tnn9An6ycKq1P6GPMd9xv4hUPuKgHuloeBmf6Gl6gq70Lx1WJRpurLuuJGJRJeJWlDb4hOylVgnKQJid828jKE0O9lIwl2mgXHysnxqJNOUq85aGNtrW6GlaoY+ltqBtSvyw5UK+tJ2DqseXQJkK9l3IJLVvm7oSmA5jcar6JKxkrXw+/0fQHtNGulj/LHDZpuEjZm2XL6DPqS7KADTXCN6EPoI22raeemEsm9dmyZebdlbFlSc7AgljFdt5qRaZt3VD5tXHfqse6VDYsLbESY4g9zsTOPfdcNU8sRTsvb5KTS9HOWy4NZNYcKS9diUaZuqQXb92E32tlsRzr5Y18a3JI4ZUqB/2iMk7NZ8vgVcRmiJXVpzx4WDIqg5eFh2WPKf9SVPfK2kSj+ErZDPsryaKt+lTUJvLIoijtIrprYXVEtxYxwmPvNB7EENjBq2GqrcSUS63KKwQqBCoEKgRCBI7YQMbAjnvuuafFSgyDGAe4SjQVAhUCFQIVAhUC9SJwxAYyJjs/8cQT2bkTAjs4iFlL2Ho7VP2+QqBCoEKgQuD4QuCIDGQ4E8N7YohOxGHdnDlzWuSJEfJGbis2kvbxpTLlettIOTSSdrle11+bfWlEn44E7fp7nK+GhkcjcMrHUdv86ljkv71kIbVbQwh8+MHKiTdJh99jAEIZzrLwhEq4igJh5oegDsuwZbh9+3Z37733Nl8AjKCOmTNnZrcvM/cHdUBbOvAEbT61EtImb3xyALTIe6xaRWmjbT6vwHeD8tBmPWAV44v6KGd+hnSgi3LwzNuv4xUr/i3lp+WhDTmCLupLeKVo8/mQFN/4Xcy3pVvgB3hJPAEP5sRIz2xQfyS9RRlzvSSXk6KNcvLFnJ2QTh7a5CG2GfQVOGm5XpRxbLi4/Rt48I2rWMeoPynamr1JthxONplHFtsEsSJeUrlmy7QJ8CTlRbFPoG3lkUkyxu9hb+gX9Sz8XUhbyyMram+WLVP30Cf4yTBfLOX3ivom+gi++gE6sZ0yshS/lfBK2RufiZJop+xNo80xhli1yiOLw1WtMFQoghYOytBIhlyiIQx4CLEP88QuvfTSLAQW7TA8F0AytFYabUEb30vhnPgebVmhohZt1NVo0wFpz8+gnHjF6Qp0qlbIN35jhRpbz7gw7F9zzuRLM2zQlkKRQbcMbcpVCr22wqfBCzDUwqPpdIuEZnPws54HsXSAfEm85aENGUh8W1jRoYNnySaALx261K8ytGNbjnUI+qHZBPVe0y/LljlR1WQM52s94wLMJCyAHwco8CUdZYC29YxLWZvQbBl9ZnpHLOdG+Sa0Sd3RfCrwwh8NL8uWmQNspWJZ9qaNQahDrGJ/W4tnN/g38xdiBSawWq4FFRz1MGPEo5jcTsRKDGdidAZau5LjpVFL7XKGgY5p5eyTRJuDkVaXb+CkaMdKyDwNi642uwRPVCSpPvtq0Q6VNe43FaIobU4etEGSmEn6Q1ziMjo4q0952pWcPusVpU1HKNXPQ1uTBfVS4wuYaE8XEa+itC2bSNmbZRPkS9MBizYHm5StxU6MgwHqWVhS7+vV27L2Ztky7UGTc+hTNXtK4SXZBGjxTTJtMswJjYVXI+xNG4NCrFr5W23g0Jy+9n04y8Fy9Pbbb8+2ExnYgYRn7bFFKz+As7R6+Yl/L22j5KGdyuUgjRjYVABLnnLtN3nqFsUrD+08v7H0RDMsi+dUm5oc8so4hVejZJGiq+ltil+r32XtzbKJkHa9viWvrdVLNw9WefDK4/s03orIuQwe5KOo38uDWVHaeW1Z8uGanbdpsAdGTCY7h4MYgjvAPGYA2tZRHuCq31QIVAhUCFQIVAjECLTZQIbV1ubNm90DDzzQHNgRhtjzosdKBBUCFQIVAhUCFQJtiUAtXuZxOSst/7RtA2wVIbADIfa4OxH7unyKhRFZKbqp7YrUMjtPfWvZby3989CWcExtVxShS5pF64ZbDpqMy9AuKue8W1JF5GTxFMrI2vLQMClDuyhWcTRYvXLMw3NRHQjleCT5SvUp1Pt6/UCKdplyS+/L0E35iRTtRuNVxDdaulXDABR++PxCfIDIcE+G37MOthMROoobO/AoJg4I8QwLgjswoDE0OAzZlfY+tVBj/BZbkgw1juuCT0RTIryWvMe/KUobdMLwe8kAUA6A4wNohq3G+JIG+LWcRRh+H7fLkG/trMmizfB7BONIeKVoh+H3Gh5hiHWsWxJWDMll2LbkAMPw+3rkgN+G4cBS3RTtMPw+5i0PbbTJy4VjPBgiL9mE9gxHHH4v6Rhka9G2bIIylrCiTcDuJJtEP8Pw+5iGZcvUWwkrtqsFP1h6C14Zfg9MGVUXywLfa5ddUxYSJmVsmfxAhrE9a3ZEHsiT5hs130SfCjlLPoQ+Fb+z8JJsuS3sTRuDqJfAqlXUYq9evVrIBsxZIa7oJOtwcHvwwQebH8XEdiJC7LkS45kYo7u0G9fBBOhKwPItoZhXMs7Qeyu8WqPNfAqNtsU32gdeuLk6Bpb1NLrA0brdHLSt8HvQ12jDGGGU1o3/CI3Vbk23aPMdLI02+IY8pMAeDSvU4ftFGt08YduSHGhYqK/hlaINWYG2xBtwTtEGD9at7BpWwEvT2zBU3LILjXYZe7NsggMNsJJs3bJl4Ez/Iw0YKd9k6S1xsELCrfD7MvZm2TIjLSU5N8o3cSDDIJXSHQuvRtmbJmf6CPDcaiCLBw78m39iZeJv+TdGzjvvvDM7E4MCX3DBBc2DGOqGtC26/K3VrlZGHq3yVJ+K1rX4jrGSsCzabhksU3iVpV0U646MV2wLsQy0lXWoX5otFqVdVE55bDXFd17/Uo/N5NFbDas8fSpqq3loa3jl6VNRvlK0LRnm6VNRvvL61NhmCgd7cBDDagyf2bNnZ+diWoi9NMOqvqsQqBCQEYCh9u3bt4KnQqBCIAcCdQ9kGKiwJMVKjIMYthOxGtMS83LwUf2kQqBCwCOAbZVvfOMb7qabbsoem33f+96nbv9UgFUIVAg0IVDXQIZBDMEbGMTwKCaMjtGJGMQQoFDliVWqVSFQHIEf/ehHbsmSJe7//J//45577rns7b7Xv/71xQlWNSsEjgMEWg1k1jUvOGzDMywrVqxovsUegR3YBrGuUgGOFl3UR7l2VsDACE0eqCddW8PfW7QZGKHRtvhmv6S2rTZZzzobsa4Qsq7jIm1Ld4m39JuytC28UKbJqS3wsmhbuwWpti288uiHJos4AhJ5mBs3bnTnn3++mzhxopsyZYobPHiwWD28okr6QSPtLc9VUNa1SVpUIoM9ithiSm+t65ZoM9Z1YCn9sezNsmXqnuQLGuWbshWMDwjToh1RngevRtmbpl/ESmq3tm7duhYywLYhVl7hj9np+++/37344ovZgHPWWWe56dOnZ4bHkFtEcGkrMgyC1t1xaNe6ENaijZUgwZcUyqIN3q0bR/LwjT7Hioh6+BPjS/7QJtq28NLuvIQDBG3rclWLNs43ITfQiD9laTOySDJ8yEHCCjwgpBblGl4MFdacjUUbWKC+hlce2uvXrxfr56GN/vHsGLgMGjQogx1h9OEHfGAww7biF77wBTd06FD3mc98JouWxPccAIAB/g054m/Uiz+WHPDbMvZm2QT1Z+3atWIoO+xYs2Xelq+ds0u+if1O6e22bdsyO9f0qwztMrbMyESJr0b5JmCW0lvsvFn22Gh7i8cg8EysoFutgj1goOGHF0nyhxh8MFBgKxGDGP6NZ1hOPvlkt3Xr1mbj4q3pmqOB8morJyghL9CVZiYp2jBoKz8l7lPY3xRti2+CK83omV8U48u2mcuizfTAszYrIl7WRaP4jUYbjmjLli3iUzBlaVt8W3LgwF8GL21llepTShYYKDZt2iQ65npo8wZ10Lr11lsdnCs/ffr0caeeeqpbuXJldrn2f/zHf7ivfe1r7nvf+5678cYbmyce0AkMyLA9OBMMZJzIxXac0h8NrzI2ATyAFyZK0szZop2Sg6U/KTlgooS2Nf1qpL1ZtNFn4IWBLPZ9ZeRg+SYOZKCv+RDoFOQn5XSmaKdkUVTOHHwhw1YD2bRp01oMZPFMDULAjR1r1qzJZpUYwK677rpWAFCBtRUGhGVtLVkzxBTtRYsWuX79+mUzWOlj0cbv4UTbmm/09/nnn3cxvuFABsFos0+Lp9SMmitkjfb8+fPdqFGjXP/+/evGK0UbfKNdaUJiyQFJ9a+88oqKF/TQ2uJLydgqT9F+9tln3Yknnqiu6FK0AXLoMF566aXM0WMywQ/fp8OW4vjx47Ov8Tdfj8A2Y/gZN26cGzBgQPNvY0FackjpT8reUrb89NNPZ3KUBjKLNp/EsVbd2qo61ScchwCTCRMm1K3zKdp5bELzL+jzvHnzst0t6dMI38R2LL1dvHhx5hPhJ4r41JRNFLFl4AxblLBqdUYGo+YTDGGIPRpGFBWMS1I0rog0gXHbQEuI5vae5ABTtKlIIuL+yzK0Lb45M9GWwdpshvWsgYyzOO2mAZRbW4t8j0rChDMmqYzbGUVpc1CQBlGUSViBDzoxS4aW8qdop/CyaAMvrT74TtGOB7JJkya5T3ziE2JXYagvvPBCNmF87LHH3OTJk8XJDtrVzpqoX+iTlhDdKJsAT8RLsnXLlmlr2kAW+qYYvJTecnVj6Zd2lpWiDb4se7NsmX0GZrHvS/m9or6J+mHpbR68LFtO2UTKlqVngNhf8NYqIVoSLASKERUrMUYn4gb7GTNmuGXLlmm6UH1fIVAhUAcCmCjyrSpWu/76692//du/uS9/+cvu7LPPdn/9139dpbXUgWn10+MTgVYrMoyy2E++++67s5vs8WGIPQ9qj0+oql5XCLQtAly9hFSHDRvmPvKRj7h3v/vdbsiQIdmWefWpEKgQsBFoNZBhELv33nuzvXnmiSHEHqs0XjRagVohUCHQOARw9oU/1tZh41qvKFcIHHsItBjIMFCFt9iH74mha1bek3W3Futq9Vk3VW7BW5S3Mnxb/bL4SeGRKi/LsyXLsrSt+qmylHzbS8Zl8dL6lcIak0pEM0qfMvpV1t7yyLGILbdFn4pinepTUd3LY8uafqX0o0x5mbp5+tQIvEhTol1DmCX26ZE3gJUYX3bGMyxIzORhNirzen0p3LfM0w9Y+RV9aiV8lgTnetIstihtCIzPuGhBLNYzLuBFwgp0yzz9ALpFn5UAXpAp+JbwStHO+4yLdGCvYRXqFn8TOyT2V3qCg3KCHkmRcnmeWgEPGm3KUQpHzkMb/Gl6mXrGRUp8Rl5Z+LyGpGPt+YwL8cLhfPxhAIM04DTqGRdgGD7josmivZ5xAT9lnnGp1zcBe8hBe8YFeDE30fKpjbI36xkXYtUq2INbhjgTQ5QUPliJ4Q8i16iMMHRWhpMKI/JQhn/jT1zG0ZvZ2lI5fsPM/Hi0JW3mPMSRgMyVYWi/NFpbtOlkyvCNumG7+G/mcEm5XHSaWp9Yn4EAUp8ZAh07BNRlFKfWJ9KXnCSVWOObTkCjTaylcpbFShjjFfcX5YyGTOmPNJCxvtYnizblSv3VeLNoQ0aSzfCCAKlPzAPUcr1C2cVt01Y1/aEDkmiXseVwMsAIQMlPSHrPupYPof5oWLM8tgn6COqZ5GMsWeSxCQ6Ckn4QC0kHwpyqcKJEHi0fQR9g2UTsm8LVn8YzdUvzm6G/luyN5ZqPyGPLqBvSpl8DbckWa/jyvvvuy94TgxCwErv88subQ+zD0R7/DeJSSC+XqlruEhOetXIrXDNFm0pYhDbBKsO3dFsF+gva2mwJWFvh96iHP5LRMnzeutfSCgemDLXQbO3mBToIizZ4Al0tRQOTI2mywVBeTQ7ACvVSMpZoM5RYwytFm3KU2s5DG7hJdS2sOGvW0iDC0GepXynakKFGO2Vvli3TAbF9aaKlyZGTYU3GoAmeJedJe9JkDL60FRd4bKS9pWijP5IsGuWbONAAMw3rcPCVVs/015q9WbRT9sbUEEnOxCpu9/8HvYIHQrl844wAAAAASUVORK5CYII=)
Question 3.Draw the graph of each of the following linear equations.
3x + 5y = 15
Answer:For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
Question 4.
Answer:For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
Question 5.Draw the graph of each of the following linear equations.
y = x
Answer:For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
Question 6.Draw the graph of each of the following linear equations.
y = 2x
Answer:For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
Question 7.Draw the graph of each of the following linear equations.
y = -2x
Answer:For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYgAAACWCAIAAABLioguAAAAAXNSR0IArs4c6QAAGItJREFUeF7tXb2OXjUT/vJdBopQBLkKxKbYInABW2y2SoUEdUQaym2CUoO01VaBIhewm2ILQCm4BkARWnEbfA/foMns+Pz42OPz857nFNGb97XH48fj8Xh81s+9v//++z98iAARIAJrQuC/a1KGuhABIkAE/kGAjol2QASIwOoQuKdbuXv37q1OOypEBIjAbhCwaaU7jmlD+Sa40Q1pezCmRdiJQCNjdsByK9cIZ4olAkSgHAE6pnLsWJMIEIFGCNAxNQKWYokAEShHgI6pHDvWJAJEoBECdEyNgKVYIkAEyhGgY+rGDmcEP/74YzmurEkEVoAAbHijrwEdvmPCwHz77bfOSPbgd/744w90U56HDx+uYJoUqiAdcYOIHn3++eeFEjdb7ZdfftExjbJhgReSV4XK4TumFy9eXFxcWNCxjHz88cenp6erGolwZR4/foy+420vPJuexh999NHPP//8/PlzTCFBCU4KPbq6ugoHbRMCf//9d4wp/n3y5MlwXA8j3+rrfmK4or1+rv8AS4JAnRgA0f63Xn6+ttI09NFGP/vsM1UMHkptEd9bNH744Qf8VzoipoDnyy+/tMXwX62uZVAMYm0x2198j1r6DTTJ78sk3ER/edAKVBJrRnNWAfff4SYaqZrTL0VeumDRzqkeVWZBBFJrtLaE4VZTVGuXL63pqsWqDdgpYA0jCrFMOQ7Y984oHHHrEdB5O08ydR0oNklbO359Zu1cJ+SPOiad7Xbmi84Djkk8nXYNJdVL2v5KsfQpg9H5U+2d9dE5gzIJ9hyBk8rI2taH2CRRxYWXRcAtk2rY8r34I/vZOSZn1VI+XbmLwampOJ9jgpaCy1Trz+neJPuwwwPLzollchyTlpk6ujq1nJPK6XhnGbEteSQyso9034YY0q6L3XJanwR7jsBJZdScJtWKLbwsAtYxWQfkFh4d2TRiUjTUetfpmNrmmLDFBWS//fbb119/3bn+z/OlpJNkN45809OnT7Vdm028vr6eqg82+ZKMtPHwqJAvvvhC0l6vXr2ym8HRin0FkIVRgwPathh6DSVhfCij33/66adw0Ojvd999V9zo/BUxjsD5+Ph4/qZX1SJAgMkdHR3BN2EooRuyb3Z88VnzcavSPF+Zto4Js+LNmzfQ5quvvsrXqUVJzP/Ly0u4IUxRTXtDPRldmdVYZ6Y2bVNXkCBWMvrATUMNtP7999+fnZ11lnfnL3oWM+klBiSJ4ZWgmLVaNAfhyCWjvzs82BodnfUX0OBX7c15Iuen1t+jDg1taBcb9Go2Rz6UJUf6VILASdp2bl5soAtpkKnJP1XYKi+fdSeIwnbfhP+qxQzkmERtCZT6NpWTutZXGML75KNpcan40JnhioI9pCNWyLIJJkEsvFP5Al2OSStm5pg6j3ekU7HTM79Hff6nVfLbIoW2xQVMmgPDfSuwD9ltuRjHRkk252KHSg7O8ECC28zrT/Kr6jzqmASfdtZgs066HKFRt0iIGvlnMQWwF9joQBU6JgxB54lk5qmcdQRqflo33xJihzX1+LyPaZk4F5sp7CJlPDb08DYiItDIXHkfUyNgp4k9Pz+30da0yixNBA4dAUZMC4ywhEvupGwBPaY3yXiBCEy3mqwaDlg6pizUWEgQ4LQkAo3mArdyjYClWCJABMIQaPseU5iaFEQEiMCeECB9055Gm30lAitGwB5SM8e04oFan2rMsBCBRlbJHFMjYCmWCBCBMASYYwqDkoKIABGIQoCOKQpJyiECRCAMATqmMCgpiAgQgSgE6JiikKQcIkAEwhCgYwqDkoKIwPwICMdJ1H1nQvc06c6vRl1u65hAZXEA9EGNoB8WS+iKYbe8VVEztliZqIoyj9J7KdFB/DW4vYk003JwiaDePqjcTbhDUchXFr8As6Fjwu2IwEjubdk0fVCUbeXLIXT5WKUl7Z1NuCM0ZRWsEb5IXSEcw/P69WurAByKu7c603IgEFeYyr1OuIwJf1KungiXYeJWppcvXy7S0/eN9t0gV38RFNrQW9mibt1vp21ZfxtxMTWFrqynUguK1VR3dSHNXpU3cOVmfqPO0ga4J/Jl2pKxCGTqIHQelpVHKsKDuMsXMy0HFe2dcI7ESG4TzNQtqphrse0NlnrVXjgTw/zAdQ5ACy4md31qOHQ1lhQLu/UaA920dzPaZdxdRir9crPX3Z5c0/cWrjlHH3dFte01HEpKfpMz6dxFoClfDgp0wpujcFkZZ1oNt3ILh4KzNI/b4DGEslkQpoNOPhgU6xytg2cDHh6Ek5MTMLVIggObFEyPTjYHoZNNn0zqh1kMoWEjggx2WHjwAcw62li7K71A43x7e9uwV2Oi6ZjGEBr7PZyLaazBw/ndzjRHq3U4nazuiUUGzGPImonIxfPT1T0bFKALUWyULvmIg88xaXgvW4a+6Fd2Z+nTR0bQFLqySLvRRkZJGQbMb9JW7sByTJ2Wo2aTgpZpOcM5JsletWPK6LRA15dWOSa0bXOZIXnNxXOQfVM6nIupKXSrckxQRthrYhl0VFqsZFluawCcWtd5EHEZysLkckzDk04IgUQBS86cEjXLoCybY2romNTmAEfKWz11hFz5me1jWNsWXExK7RsOXQ3yLWAXUoZOSqIyVS11VTgfUQsE+rrZeSDgmMFTh95nOdDcBkGWC8P5oDWcyvE+poCd8ka5mAp63uI2Ihwd3NzcXF1dFegzf5UWCBT3AoaHrJMjhe+Ull8S1eWt1Jnp40lGUGwGvRXxVtvx8XHneVx8Y4tKbDEtIRMr9laO2FogUDOkmbYHX/PgwYMcE0VOXXaIjla+Rsmcuh7Ydsnvsjg8s9acEXXOPi5wJ5KJwCLFwmFPXxpcpF/5jYYjkN90Z0nZdkXtWCXfNHPaW/rlgOVWLsebs8y/CKwtXph/YIhAI8x5tW4jYCmWCBCBMAT4gmUYlBREBIhAFAJ0TFFIUg4RIAJhCNAxhUFJQUSACEQhQMcUhSTlEAEiEIYAHVMYlBREBIhAFAJ0TFFIUg4RIAJhCNAxhUFJQUSACEQhcOcFyyihlEMEiAARmIqAvP8tD9/8norersvzvWci0GgC8M3vRsBSLBEgAmEIMMcUBiUFEQEiEIUAHVMUkpRDBIhAGAJ0TGFQUhARIAJRCNAxRSFJOUSACIQhQMcUBmULQbifEKcVw5JB94wy+LeFApS5HgSWGmjcaQkDk/t253ta32CpPQmkwUjvu6u8BnDB6pabyN1DiJ9SJgLhusCjVBlQXslaW3cE7bZuIkS+cGpbUZahoIbfoR0CKUuVuxYVTTvWAEvuNJXUxPFcCVaWocAB6GjEQ4bJCnHANmRJsXQOrbsRLn8egY4GA2NjrSGl0HEFrJIpz0+LLrSbllHaquNO55V+U0Mm1g4Bx2buLh3Gf926JU6kADfrzmx1y00vlmnv2O1cJgta76syn2Nq6mLLhiQTx5Q2B32JulbZLeN2obMU8vjeLezDrmceyp0y2K3F6wXPsRG0G1lA5+Q75qLioKkMgRzDc47J/detUvUxspMPDTFMNkZLMWxKNueAbZVjwr4Unfzmm2+wO5VHKOo38YAfAl5ASeKhOfry7NmzVHlsvLWD9kNmN9GQZQcBDw+oLKTu27dvQT5u5bz5/6OtgPXI/gpRsJt1gow+wue+fv1aFJZ0WCdjh+TU3PPw4cNMPAeKnZ6e6q/v3r0LkVmv1YCEn376SYhU8QgbuDWVX3/9FcONR7GqVwbyLTMKbP7DDz+0Yh8/fgyzrG8oR0Irx/TXX3+h+cvLS1kr4J6Pjo42xLZ+dnYGknhRGB4KJtLJZgPurc7FsBN6uJI+t4LyklzU6YrJ48wChgJXJc3h8/Pnz13CG3Zze3ubM+rzlwH9GRSWdmEVNpdhlQG7XIpnH2+aXRXyc/8oiZGdmTQtH3C1ECiptTCbnCf9888/bXQD+9QC+KBCimccVgisJdabQ5lHjx7BLPP7UlOylWMSnT744AP5gB7Cu8PN1+g6Z12sHlBYFnmYCPxUfetwOjrrXLyAOYZoyM7ATpNSVyUxHRbVeq3mkSAmDqeAfl1fX5+cnNS3a1cFN4X6hEOBJ0+ezE+alt9Z65dhErJcda43yriLAgjn0SmxGViRCinjhoNXgpxlKUhbOSZxSRI3bfQ5Pz+/uLhAmAML6KNjrNzKCTKwA5iUiwtSk4IaWCc3CibURpSEWOnly5dYivsmTLutHBTAUMIrYdKWTdf5kUeALL7m/v37rnUsUfacMVA3BFzAZ1mv9E931Lnazzm5utEysD9NMRafIGTm8EeVKSsg492U/09mbKoevnTfC4YSwHeeeDbNTWrSugxJ2X4KnlMPtgtaTBO3NSdxVoHwaaLC02y02gagS7P1+FUPZEZ7h8L2/RLJrri+pCdxDnk01+7IwinT0DGhV3p2Gz6c4QI7rV+yjwUTI7NK+uqKNpeeykGmTc246b3mUzlFw65VmRBNLWZNzk7sNKYo84/t7CE1huF3R4CMdso5HQeaOxW1rwuIBCmfJv6cN2y68jlgeR9TarHvv5Ed/lKJUgTV2Pv07SKd3vOoWnkbEXZqx8fHnedxQ8Owpt8qESjuCvahSDyXmWJNXVUY6TkcsvcdRBT3Syt6YNtt5aaudZPKt1u4VI36V0Um9SgtnP9K22yq1sDe+apxJUTzV69BoFJbNF0W5YVEOk1fS5To786WmY6pz1ywjxuOkCvtLKe6bEyGS8oWoGkiLMRI7OujOX1fZ5nR4Win9pwDbXshy16LF4zveKK7ds6tXH0QuiMJS21k1gMxEWg0FrxatxGwFEsEiEAYAq3eYwpTkIKIABHYHwJ0TPsbc/aYCKweATqm1Q8RFSQC+0OAjml/Y84eE4HVI0DHtPohooJEYH8I0DHtb8zZYyKwegTomFY/RFSQCOwPgTsvWO6v++wxESACa0HA/lky3/xey6hsQg++90wEGhkq3/xuBCzFEgEiEIYAc0xhUFIQESACUQjQMUUhSTlEgAiEIUDHFAYlBREBIhCFAB1TFJKUQwSIQBgCdExhUAYKwqW6BYyMuPwURxv5DGuBClPU/AhgrIVnqcUD5lTId6SqLRrqlRlyOWHmrX1y23nZ9aCuCcjJbHSdxezF7ykbSubNmXJZra3e+o7dTcBuL9svpgLvM5s5EXDsAHagh/nirfKj917aVtw1lVGzNWcOOmDbsqRYhdB/oeijY7KsFSlnDiCyJKt9gypCUp6ifJPNMZfNrQeCp9oY8Mn08plozOaYUkYZ9EUMI58RR66Nh859Ny9bEicRa90fPseiNwCyA3amrRxiwpubGzCLzhoNTmwM5IIIXxHEaj3sp4R9JPxRMliQC1omS2zEBvggVQ0oCcp1+6as/gRSVssuHa55oEC38cTGpH5vIhyrSi0DzshAhWcTBTMAX7GjJMF/haoTBNFCLDb85PCagEJVCa8g3JFfgc8GahTzjI8pOPj7DFs5iZXU0685YrLhhmPjss6+zywyV900DNEFDZJHaQWsYmnEBOEhrBidfYmNF+yC7CKddDOSWnGfIdnAPCpCn2GaOAMbuPwf7mN0EtlQaCBiUhZStN5JY4O2Rg2yzOyHg/HgrZylLRZnZDmIBoxvat9iZ4i2bud81J5oIJ2Edh2HampzlqIeALosUqdjyvFuUwGX8rGwW3sI3DXo/gXabjTHNMwoo3s6GZR00jkXM+CYUB3WojaWesOUEbrMckZrOdMKdkxp853BRT0VTOwMsWrrVA9fbFNwUmbn0WCnk7zXTb+tOCbxy2IMUbRljoxPZt3orMgv0M7w8iMm6DCchUw5dVGlM1vkVl9g5ebmUo6peY4J3KGKuK6QZYSiVVvW7Mrn5+cXFxdIimGQ+lhwkXhCfiR9shv5pyASWNjVX11d2Vqjbwmcnp6mbrQdP+qkHhUUBrkrMmLIhsA20LVOCfIaRPrYbKBWRNLEYnh2dmYDigINF6ny6NGjgUShDaI71UNuyBqJREzO0qQi8kcPHjxQIUjJLZNRSrsx5+Z5/Vs53bAMR7/5C2xnyfQkTotNDXY2nWOSXss0c+9MFCMsuxhNi6QxabFktY1KCZnVBRa3CEmglJNjSh2TtTGNuSS20vgrHYgDyTENg74VxyTbz0wDKiiWRtq63cCMmnRAmzqm/LPkAs1bwOLmRoFWrord7U4CM6fpFgj0tevSIOq78WFSMsStss5mbCvp8mDdVg4+xWUcsLyPqSMWllcEltpvYs+iLxMU7COaKt/iNiJ5laRzo1HQ/dZVWiAwVWfstmQlm1pR9m75deccGgcsHZMfXBm5GtdQYC62So01tFa+xbSETOy/+tJ5lWCGV2+BQIGSxcsPrOvdu3eZi+6cQ+OBnTPHVBzmpRXbRdSIbMPj/6kdh2csOEsa/eODqWrMALu+41av2zwS2hneVP2hSTtDTf/aaap6U8tzK1ewPrHKvwisJF5YcDyIQCPwebVuI2AplggQgTAEmr/HFKYpBREBIrAbBOiYdjPU7CgR2A4CdEzbGStqSgR2gwAd026Gmh0lAttBgI5pO2NFTYnAbhCgY9rNULOjRGA7CNAxbWesqCkR2A0CdEy7GWp2lAhsB4E7fyu3HbWpKREgAoeGgP2zZP4R76GNbtP+8A8yiEAjA+OfpDQClmKJABEIQ4A5pjAoKYgIEIEoBOiYopCkHCJABMIQoGMKg5KCiAARiEKAjikKScohAkQgDAE6pjAoWwgCZTZOK4YlC7sR/m2hAGWuFgFckusY7WNVzbG92BbvSGt3tW5KEDr1ts2B8uhDoLQFRVlKD0d94bgboaRj5VW1HT1vu+5sFHZcQRuleZSc4TFy/CjpPcvpiNsqZaTeIsFSaQbSI4/apAO2IROvZYnZLr3XKKA1BRyfFcbG8uc4Vl57GblQHtmmowjNh7szz7SsgTStC9tLOdqKm5gHAXfxvAw37uFWtVHAmoosb/KrXNdtC+d0VonCHcdvgaic5kavk2+4lQOlLRhBJTw7Pj7eEFssuEZckAxyV+GlCH8sQQimEBgspAmhmbXcIWBnVY6jTz75BL9a0tRnz54NcLeGq10j0G08sWXAUyNwoC4kw/Zgio3kzyMW8wiu5+joSJvDWJ+cnNjW9bVpsZnb29t83cS2Ly8v0ypwf69evcoXFVWyoWOyjM+Yb6Pk11FdqpcD5m4sIDoe8BFYRjDzU8mVXOFoyLoe+G7la3779i34mm2LFk8xO1TXAviMuKCTNbsekFgJsHWdA/Ct19fXIApPm5AcSvrkc1jDKwEWXR1jezGzNBl9GV/8izXMjr61DcHn/v37mRrChlGlj9AJS+CbN28yRUUWa5djUskSZ7oQsSzem0FbGw+LzlG7JEvAm1KeSixtY/W+TEEfw/hUevGCIcA4FtRyVewGNiqLkabq7KjZnU6l/iEIjOrQySGGpsUk8O8AEy+sSH8dzfNa/GUPmM7TebrsWmmYYxL0W3gliVpHR7eygObI0NbUHfvUpp1XQvU+zvg+ryQOtCzrma9tFOzonUwegNxIZ3tQoCt5fVtRCAxj3ueYxA4HKMKtV8oZVjkWcI9bNefp8qyOKc3R5oCVU2YGsORQbJiR0Z2e6ADndEHLdJ4MdHqZ4bzmhhyTdGQ4kLEBpp05BaH3AURM9oi2L2ICSmkknm+Ke4mYwk/iLMQzOCaJyzR+zh/gSSX7jAkW5oxs1Mu7U7xJamQWDoRdIpqaiZSps4bt+eUHSgYiMNDK8KkcPIjj4J10EtfHstvpmPBlASl0AdQzRUx2c6vLXeCGaDb7aNqQzYy4aCs1iHRvYme1AF5gEJOqBDYhfrYg/JmksBTeYsRkg8TUNTjo0sh9gD28bxPQ6ZgGto0FA5Hv8XkfU7rFfv+NHKP2HVgM1Yz4DeeYOL2yx3YDUudRNfA2Ihy63dzc6AsQEYDNISMQgRp1Mdw4wC07cMRh5dOnT+1B3oAm6K99o6VG5+G6Hlj1YYGLYawr7ZQ2g7azvU7dB1f65ndfydlUDYQdogIj6BlMTpoIRKBG5+IRnxRZR52Z5vR0pq1cjio1ZWawj86TkRqdC+rm/C2F7FPqz5ty1IuCffhIIUeTpcpEIVCvf/o6eL1MKyHH9gJbdMByK9cuOD1AySvZyCyILBFoBD6v1m0ELMUSASIQhkDDP0kJ05GCiAAR2BkCdEw7G3B2lwhsAQE6pi2MEnUkAjtDgI5pZwPO7hKBLSBAx7SFUaKORGBnCNAx7WzA2V0isAUE6Ji2MErUkQjsDAE6pp0NOLtLBLaAwJ03v7egMHUkAkTgMBGQP0WU571jOsy+sldEgAhsEAFu5TY4aFSZCBw6AnRMhz7C7B8R2CACdEwbHDSqTAQOHQE6pkMfYfaPCGwQgf8BwQVjiQ4np5YAAAAASUVORK5CYII=)
GRAPH:
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)
Question 8.Draw the graph of each of the following linear equations.
y = 3x
Answer:For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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ubvJxFXl43eaHIy8/GuDLqptPZL0g5xLHNyPJRIR/8RiGcKuxyjkGdWILg0G3buvkFwcLVoW4Zufx0YInk5uZKg4IR4d9eqUXqZiXcFORX5MXhp4ByaLkycul0Y+G2GwZmU1h0Y4btwbachYRu2Szctk3RoZ919svKlSuptbVV5vYfccQRlJ+f77r41I2ZiyMM2zaFhduuSczcfnHDEsFAw4eqWszL+auiG0XrZn1cfkpxnLa5PLl0urFw2w0DsyksYWB2YvE6boTbtik69LOufkGoB5e2YJFUXl5OtbW1rtdbmrSvMNrW3X+6+iT2TSsVfZiN+adD8C5FMGAg2ye4Bvbs2RO9qhF39HIqw4O3Yr8x3DRgnf9w63HNeLkOHat4HEJmn2AawEbv4sWLCBMAwrJ1dZOMZPlADt0P13a4dLrlS3d+1vmnew+HjE9duP7CCy/Qo48+KkMTRx99NP3bv/2bPJwNDzYrf/nLX8rK1IsuuohOPfXUkKVKH/aI686dXkfVZYVyP2TSpPFDDg4hjYryMs99vqBC9S8G8sTXRnh+FXT5udk2symoghn01vkzlGRJ4msAAxMhiCVLltBzzz0nC4+wSnvllVeooKBAOnocQHb33XfLzJTRo0fLCQKTwrHHHusZtx7uOu/pPUCPvbmLXnxvL3UfGCU2equpr7ePOl5aTVOqcujGs8dSXnZ4w/cfq5poW2MnffCocsrKiNDoqrH0rcfW08r6feLNYwQdN6WIrj6lliLi34N5tu/tpL8t2kMXLCijiqLMASzQ9m9f3k6tnb1UlDOKbjxnHE2r6afZ2dxFf3x9J10g5Bo7OnswTdvvHNSAtB61seZ3CJv6nEPndzeA6oEgbXN4BuGnsHtZQxB+HPmC6pvDU3e/cDEDC5w/Dhf71Kc+RePH969K//a3v9Hvf/97OuGEE6ipqUleN/jtb3+bxowZQz/96U/pr3/9K82cOTPu7VOmsHAxc+mctjWY8dLTd4DgBBdvaqWrTqmh4rwMkSNM1NWbS4+/1UD/8ft19OUPTqSq4oGOM4hnc8Oyens7/fqlerpkYaV07g0tXfTfj22mHU1iMji6gjq7e+nPQoadTV10g5iEiiDbwYejn13CgX/l4bW0evs+OnVm8QDn/8a6ZvrO4xvphKlFVFeVS+9ubKGbH1xN/3nJJFo4uYjyskZRr9DNfS9so1vOG0+FOf0TIKfdRPvETbdB2uaOZy5dIj4sovKo8dvrghY0gs+xsvOjU7QcuiC0HBm5/MLAwpWPKyOXziQWZKIgA8X5IMyDQiQYMGLVVVVVMmSBZ8qUKfTqq6/KSQF7AAgTqZgu6J1YwNsr3svVt0m6IOMFxzc4M+lyhaObNSaPPva+arH6HhlVcXVJFv3nH9bRpt37qbIoQ97FgXaUw0CoqKAgFy7RdS4APfQL3ah28b2mfT107/PbaGp1Lp0xp1TwJHpq8R7h+Dvovz8yheoq+/txbFk2/fiJzbShoYPmitW5sx9j9Q25wLtHbBu8sHyPdO5Lt7TTnHH5FBk54mAfH6Cm9l456WBFf+v5EyhDTDznLyinG3+9iv727m6aNz6f8rNH0aXHVtLX/rCW3lzXQqfNKoneR8Lp5zDGCnec6qZLFEtk6dKlsjNhQH7l4jAYGMqKFSt8Y3AcfsoyubQ66cLAwpWPq28unSksyjHX1NRQaWmpDOcg9v/iiy/KNwFMCi+//LLsZjgH6AdvCviN/8YEgLPp8d8qhITjC5SN7d271/UmL65uTNIF7Rc4fozB8WPHUHaBmDzF/5AghZVu/9MnfkaK1e9IqhITQEZkpLjtrINWr1pNXcKJ47vQeWlZJe1q7aXu3s7DnD+ceVl+Jh3oahV7MBuF8++REw76ZZrIJFq7s5tWihX5ZcdVir8T7Wntlm8gZ80vo5K8CK3dsU9OCPMnFNBvrp9N2WJSwmSP/RzVj85xAB1kCN6TxaT/7pYuuuupLXTmvNF0+pzR9PrqZjEhiFvb2ltFP/dS78hc6uo5QNmZomGZGSZS0EVb+O8eAb1P6KG7q4PKCjLp6MnF9Ogbu2j2GFGntL+Rtu/YKW3F+rD483083xSZO3eunDlxfV5eXp6nU8egxGSB24P8irw4/CAmt23ddLqxcOULA7MpLMCMWH5RUZE8afKPf/wjPf7443TttdfSkUceKa0QZ87jia7+xACFo4HDwQ1UsRlA2BeAbcHG4p1Vr0ybq29TdJBzsP0ySuhGhLuF6ztAO0XI5YXljdGwT4cIufzh9V10yowSmidWznCOM8U5P+qBXlfv2E/f+fNG2tHcKT4/tPrvE/2VFRlFV55SLVbUZfLu37a2Q+O+58BI+ufq3VQjQkmTK/vfHBrbemjz7g6aIv77p89updfXNFNHVy+NKc2ir35oEk0WbwgZoh+xx+Nl23DKx0zOoYdvnCsnjF+JFT7kwUySm9f/XdjItafV0s+e20q/++dOmijeLhZvbqXtYu/h8x+opNwsEeIR+x/4zlGTCuhxsSeyXrx5LKyrorKycmqzPiyu53cbA2Ic9sfM8NvvbHD1aul1vZ5qncMvKC2XJ4cuDCycdsPAbBILBj0m+scee0xu/N51110DTpssKyuj7du3yzud8eB8GmwMw/HHKxZU2UM6bYzbL7rpEumXEeLNCDH+dTv308+FM8zO6L+gHW8Bm4Qz3icc8CULK6i8MPOwvP/pNXn0wGcOTQhxPYL8Y/+KX4373SKm//qaJrG5mifCK/1+oXl/D23f20F/Eo72hx+fKhz+RGoVf/u2mFy+8NAauvNjU2iSmBictQduegSEDDEJABo2tNXj3BOpKMqik8XE9qwINbV09Mi3m7Pnj5bx/4MzhPxVUZAh4//YhxiBN5eDby/Wh8Xv7Xh9Er3JC4aqjNXNWNRrvl/ereLlxw/tcGnDoFPtuw8O/fKFhdkUFjjw559/nr761a/ShRdeSPfff798/a+rq6Ozzz6bEBKaPn26zPhBWAihnI997GOuOf+6bSwMu+GMFWd/DGa8yKiHWLQjq+ZH/z5NOjr1PL9sD3314XX0JxH2+IRYKSNuPpgnVjf7OvvESr9b7CNk0qiDWwwIy2RnjqLrzxojN1zxFIhN1itOqqZP/nIF/VO8CYyvyCWV9MPRt1zxx3m2iQygLz60mkrzM+hn18yQ8f2tjR10069X08pt7fS1iyZRUW7/pJQj9FGSH6FV9ftFyKtP7In07x34+Rzd9hXWeB4KLOHlig3GGu13Uk4DiN3juIGPf/zjMq0TF4vjQSgIkwDCODfccAPdd999Mr5/6aWXyjRP+3guOaIfYqW/X8SADjn/A3RMXRHNHV9AK0TaZVf3AYpkDXT+W/Z00O9e3UGN7d2HhX0yhFc/S8TcjxfZNK5zhiNUlCMcf44I01SINwznA8dcJCaB3SIsBBmR/pnos6lhv0zlvPnc8dLx4xlTmk0fPaGSfvDXzeItaB8tmNhfKKhaQ1ZU/1SSePuJyp9q37fOP9V6LInkVRuaiO+rGH888RDX//znP59Ekie3KF0d+6lvRL+zhUtz+GL5t14cxCh+kOYZz+kiSwabovjtDKmgvyLC+ecKhw6+sQvwbLF6RuokNnnFgl+u/pF5M6UqT24Cnza7NDqZ7BMTUosI/5SJ1feomFnEL7XVTfvACZnwtuF8SkUqaUZEZAw5FNHR1UctIjNpWo04ZFKEhmSMzD6BNGCdfyB1WeJYDSDdDOEcvwEPx4O4P1I+/WiHs5bxJtUs3qByC0fL2DgcvdOtHTgwgl5Ytlfm2H9ShHwy46y4q4qz6OpTa3zVGBuOKhFZQEfVFdKGXfupvaOXMoVjLxEhmAuOLqcfPbGJjhQZPsdNLabdLd105982i03oiAxLOUVA33LsAZMX3hic2OrE3sFEkUp639/rRappnsz/R80BUk+xDxCN+wtku0V4qnlfL1ULrHLusb7ft79jCazzD6wy+4XBaiCM82EGK0uyfq+zs1OkTrZQflGZzO1/Z0MrffSupXJ1i1Ux3CWyXm4VBU5HTio67K0AuLgZTrE6yBEplccL5/6PlU20UdQQlOQXyDeEs+aOlm8L9zy9hb7x6AZZaVwnnPMPrpgqN3vxvLetjX719+307ydXy9oEvwfhJ2T9OLOREFr61ocn0/+8WE8f/8ly+XbTLSaIk4Tj/5woJlOhIEwaiza1iXTXTJpYfnAj2K9B+/lhGoio4gz8xo/XqkxdHKFo3fQJ4+PwU4bKoeXy5NLpxsJtNwzMprDoxgzbc2JRm17x7Izbtik6yBykXyAn8tSRDYWz+/MLCkXseyx9QqRl7hcbmtGVrfDGBSIeXitSLekAxuzh2gEvVUvhNZ5jdQPaaSJ1E7xfW91Ec8cVyNAPsnROm1Usj5VoE28E+BveLhAiOiBkQD1CbUk2TarIFrUFop5DOOeRI9yX4lipf/T4SlEtXE4luf0FYuqpEfULt3xgHH1YFHIhno/QFdJKkeuvNnOxKf26kO8iUW1cLUJf1of1++6g/jiCPG0oFSsOZG64GYuqvkQjeH1XVYVuA9OPn/oep23lMDk8OfzCwMJpNwzMJrHoxow0PdgWbAx1A8iT97rJS5c96LYv8AvaL8CKMbVs2TJ5HAby4j904fmisAoVtQ5H2teDiwKEfjpdC+C4/RJLl5mZIVJHs+iTp48Rq/zN9MbaZpHh05/Ku7uhgSZOGCvaPniezoHeaF9lZ2fJSaFRxOCx13BAyLi/q/80gHgPdJOXnUkiyiSKurqpU6R0Op/cnCyaUg3c/fGc/cJHtXUdoExhH6JMkJ4Q1b55oqr4hGlIF0aNUr/N+NlD0D7x4xfGeObaog4sEdwIpDoJ//ZaKagycBSD+RV5AYQfPwWUQ8uVkUunGwu33TAwm8ISBmbYFhYhOL4YsWN1MmisE+G2bYoO8gbpF4w7ONn6+noJFfURNFJFZfszWYClrb1DjqvsbPdDzRLFjGMULhbn+qysb6cFkwoJzniXcP614mwmUX/X/4wQWUAHj+yAi98nJq9pIhRUJvLv+3q7fG8FlFjEFbLAkpXlhaV/A1j5ku0ir79epISiGAwpoXhgM1zMQfqE45fCGM9DhcXG/OMtTezfrAaGUAMq3IWQD9584NhR4ex3VEFYIiIOf644zkE9wq97LgoxNU0RRVj4wcZEq0j/zOw/zVv7gw3e/xAH2tkncQ1Y55+4Di0Hq4GENYDzbzZs2CCdLE4/RX1EKj426SZ1es06/9TpKytpGmpg5XvLxMFsK2nNunW08r0VVDt2nLwMx17VmIadnWSQrPNPsg6x4gwPDSxbuoR+/vNf0LINO2lj68EsmvZ6Gv36GzRhwniaNm3a8FCERWlMA9b5G1O9bXi4auDdd96mq6/9NC3uqKO8yWeJMwzKRHw/IjKb9onz8VfSd37+R7Gxu4+uu+468QZw6KKU4aovizscDURv8gJ7v8pL9bkuOmebunjqllE3P4vZ/85WE7Y4VP28r72N/t8dd9LSnplUdNRHKCOvVGySilRHXMYyUlyZOHoCbd1SSd+/515acMR8Ov6EE6MjX7eMuvlZ204t246ofH38RpGJlxPG53jwG+l4bo8qMvHjh+9zaXXT6cbClS8MzKaw6MYM23Nicd4OFWtr3LZN0alxEjteVq4UJ2G+/R7lL/wGZeQWi8HUf9S1tAuZwx+hzIqptGfHfPrT43+j+fOPoOwccWHJwRMrOeNUN2aufYVh26awcNs1iZnbL25YIiimwYfIf8W/vZw/Cm5UAY5fRRmHn1Ich5YrI5dONxZuu2FgNoVFN2ZscsIGVcEOcCkDj+f8TdhNEMzOfoH8fWKBtWbNWsooqhY+XiTMi0Kpwx5RMTtyhDj2oKSOlqxYRK2trTRShITUIs0EZq59hWHbXH1z6bhYuPxMYk4US0QVSAAs5yYvrPg5RV4cfkpxHFq18vGTkUsXpNhDp3xhYDaFhavrIJiDFHnp7BcuFi4dMMfrl9raGtrf3CCvJIx7ME//OwCN6Gqm6nGj5b0HqqCL27ZuOq59Beln3TJy+XGxcPmZxJwoFrvhe/jay/7FaiA0DaB4q6ZopLh+cJkogT9ZTAC4r/bguSwi7DViVAZ1tYh7jNc8Sxdc/2XP6tfQhLSMh4UGrPMfFt1sQSaLBkpKy+i//vMr9Mlbv0NtIgyUO+UM+QZwQIaARlBHwxrqWPQgXXTCZDrzzDNEyOfQDV7JgsHKkR4asM4/PfrRokgRDSBsesEFF9I+cY7Pf//oPlr19POUUTKBMrJzqa9tF2Xu30bXnn8U3XrrF6igsDhFUFkxU1ED1vmnYq9ZmVNeA5eI6yxXrXyPli9ZRDlF4lKS6kKaPGGGyO6ZRzNnz6PcvPyUx2gBJLcGrPNP7v6x0qWhBrCZuGrVasrJK6QFC99HF5z3AaqsqqTRZeUy9GMfq4Gh0IB1/kOhZduG1YBDA0hlxYUtOMGzsrKSJk9VRzlYx28NZeg0EK3wRX6/zipbDj/AVHSctjk8g/BT7XupOwg/jnxhYTaBhauboJiTGUtQzPGw7N27lzZu3CjNTh3djItDvO7ICKpDji1ysXArgU3LyMWs075MY04ESwS5oqqgAQboV+QFWtDht9vD5Yfvc2l106FAQicWrnxhYDaFRTdmbIYq24JdosDLrZiQ27YpOvRzbL+oc/tXrFghLzJBUdvEiRNlARdw4/x+r/FnCgvXvsKwbd2YuVi47ZrEnCiWCAYYgPqVjcMo1QXc+O13jaMfPzVxcNpWCubw5PALAwun3TAwm8SiGzOcodPG4Pi9Knx12YNu+1Krsdjxgr5CBTNCPvhs/PjxVFJSIic44PQ7DoWrb510QewrDD2awsJt1xTmIP3ihiWC6/IUAFRXej0YnGgU38F9q14PGvTj53SGHFouTw5dGFg47YaB2SQW3ZhhW7AxXBGIMIjfdaFDbTfcsQK6eP2yc+dO2r17t/xs3rx5VFBQIE0Cjj9ZsQSxryD64dqOTrogWLjtmsKcKBYZ8wdI9eP32qno/Rw/h1/Qtjk8TWHhthsWZp39wsXCpQuKOZmxBMXsxIIV/qpVq+SxD7iTdtKkSdGFl27b1s2P0ydB+1m3jFx+HCxB+5nbtm66RLDYbB/P9xf7odWAPg0gu2fNmjVyoVVXVycnAPtYDZjSgHX+pjRv2x02GlBv07ijF5k+eF2fNWuWsQvah43iLVBPDVjnbw3EaiBkDagsn9WrV8uN3rKyMho7dmzIrVr2VgPeGrDO31qI1cAQaKCpqYmw8sczc+ZM34SJIRDJNjHMNWCLvERmidcTpBCGU2SCtnTz5BbhhNFuGJiVjoayX3TrxtnP2OhFrL9dHOaG7CVV2KXw6W47DH6cPgnLtjk2FgQzBwuXn2nMiWCJqKIa/FapQ26DThUVqNuW3OiwocXhh+9zaXXT6cbClS8MzKaw6MaMIid1sxzsB+mPKlc+1ta4bZuig7zoFzwo6EJhF7DU1tbKjV5VXBmGPejGzLWvdMLC1aFJzNx+ccMSUfekggD/dkv1xN9Bo8CqlKV4E4D6zIuf+h6XViddGFi48jn156cfDk+TWDjyBelnVPjG2phXha+fzerWdRB+ql8gf319vfzB32bPni3vv1ayB+HJ1bdOuiD2lU5YuDo0hTlIv7hhiaCYBg+MVBV8ua3oVfk5vuNX5MXhp9rh0uqkCwMLVz6uvrl0JrHoxgzbgmHj6kLYmJedcds2RQfZ0fbmzZvlWwxW/NOnT487zkzJyGk3iH1xbdYUXRAsHN2ksg+zRV4eZxTFvuX4FcBxCjjC4OlcLbtN3GG1GwZmJWsyYlF48dvLHpTsCF8hywfP5MmT4+b2c3mapOP0iUkbC6IbDhYuP9OYE8Fis328PIz9TJsG1JENHIeprVHDjOBAcJQDcvuzsrJkbj9CPvaxGkgGDVjnnwy9kEYy4FUZlazqjB5Aw4bnrl275AYonF9FRQUVFRWlEer4UKALnOWDSaC4uJjGjBnDeltIe8VYgEmhAev8k6IbUlcIZ/hjz5499POf/1yucq+//noZt0fY46677qJHHnlE/jc+u/XWW+ncc89N+1VwS0sLNTQ0SJyI9fud15+6VmAlT0UNWOefir2WRDJjAw0pjDim+NFHH5VO/uKLL4469ubmZmpsbKQHHnhAnmI5XB5MisjtR+oqTu6E84eu7GM1kCwaiBZ5+eX4Q2BkLyBm65fpAxoOP/Dk0uqm042FK18YmE1hUXF8YIKjQw77zTffTKhmVfn5WP2ishXOf9y4cXT88cfTwoULXe3fJBaOzXL7WTl/hH6Au6amxhUzl6cpOm6fhGHbujFzsXDbNYk5USyRtWvXSqNEPNbPqcOQUZyCge63ccXhp0YDl1YnXRhYuPJx9c2lM4UFDg5OHheSfPCDH5Td+fvf/54Q/lHPtm3bCD/YA8BE8Pbbb9O+ffvopJNOkhuhmCjUg5Ux9gaUjbW2troWeXF1M9R0Kv8abzvr1q2T8X6keGLMeG12c23HBF0Q+xpqfTtnVI5ugmDh8EtlHxZRDh9G6uf8MdDVjOj3CsvhpxTHpdVJFwYWrnzAzaXl0JnCotLhYAsYVOpH4cNvHF18xx130Mknnyy7+1e/+hU9+OCDMgyC+L/T5sBHrb7xG595LTI4utGtaz9+GB/oDzh+TGKoW8BxDsCqUnKdDsvkGPDDomQLYl9cnqbogmDh2leqYongKjk8yNBQBV/xjBN/w+DGqm7ChAm+K38OP9UOl1YnXRhYuPJx9c2lM4nFiTneUQzIcMGPeqZNm0avv/66tKXS0lL543xUASFsrLy83M0U2TbL1aFOOjh9ZDhhgxeZTVOnTtU2Xrg2ppMuiH3p1GMY/iEIFq4OTWFOFEu0yEvd5ev1aqpo8Nvvej0OPzVjcmgxC+uk042FK18YmE1hiYdZ3e+MFTuM87nnnpNhnwsuuEBufj799NMy5o9jjeM9Tixenp+r76GmU7F+hK8wlhDrhx783mB02rZuzFz7CsO2TWHhtmsSM7df3LDYbB/PtaX9MKgGcA8tsltgcHB4Rx55JL3zzjt09tlny78hE+jSSy+VYZB0fODoEd/HJIhaBrzZDKfCtnTs03TFZJ1/uvasAVyI0Z9//vkD9jNGjx4tM4Cuvvpq6QThENM53x2prevXr5dYVW6/V6zfQDfZJq0GpAas87eGoFUD8ZIGsMpH7DvdHxXyUfF+bPSiyMs6/3Tv+dTEZ51/avZbykkNB4jUTYSE0jUMghgsDnFD6Ke6ulpOeEiQsM4/5cx1WAhsb/KyN3kdZuhwzurHaxRw6cADtNgD8HP86nMOnU4ZuVi86HCODza3gXPOnDkybRUTQSpicfY7t09UPydbvwwGC9ceTGNW7Q9mnEZQcIOVCdKavDoNn6mbY/AdxG3dVjQcfkpYLq1OujCwcOUDbi4th84kFo58QfoZztJpj0iZxGo63sNteyjo4Oyxwbt06dLooXbI8oH8cP66xstQYInVdRD70m3buvkFwcLVtW4Zufx0YBHjLSKdkbPAxm0WgSHjAa1XkReXnwLKaZvLk0unGwu33TAwm8KiGzOcqLIr/MZ/wz7dnL8Ju4mHGQMRaawo7MKDwjZUPSd7v3D7j4sjDNvmysil42Lh8jOJOVEsEZV5gVW9X/qdejOIrcyMNzg5/NT3uLQ66cLAwpUPuLm0HDqTWDjyBeln2BbwwC7dHH8Qfrp17cYP1zQi0wcy46pG4MBbC7DoHC9cfeukC2JfQ6XvwfqcIFi4OjSFOVEs9iYve5PXYeMIqx714xWv5tKp1RGXp6J3ewMNyo/b7mDpEPJZtWqVdPbI68dBbnjUysxvw5erR5N0nD5Jtn5xe2PkYOHq2jTmRLDYbB8vD2M/sxpgaAArfpxciked48P4miWxGjCqAev8jarfNp7qGsAKERW9yO1HjYM9tz/Ve3T4yG+d//Dpa4s0BA04c/urqqqosrIyhFYsS6sB/Rqwzl+/Ti3HYaQB5PZv3bpVbuxio9fvqPNhpBoLNck1YIu8bJHXYSbKLXDh0qEBLi23oCgIv7CKjhDywUYvskJwoF3s0c2phMXLT3FxBO3nsPpFBxaufZnGrNr3wxxP15H29vZo0ZEXI2dRAb7DKfLiCKaKKfxoddKFgYUrH3ByaTl0JrFw5FNGyaFFzFzZIwqjUCQFxxrv4fDTrWsnP9QgoDByxYoVMssHV1hi1Y+/qapeVRSpa7yYwBzEvsLUtw7/EAQLV9emMOvAIvP8ARSGin+7pfY5/w46P+fvx8/pFDi0HBlVR/jxCwMLVz6ujFw6k1h0Y4ZDVXUnmAjgTN3skdt2GHRw9pANuf24ihK5/XPnzqXs7GwpL9pMhX7h6CYIDq7NmqILgoWjm1T3YdFrHLHK8jtqVxk1BqZfAQ6Hn1Iel1YnXRhYuPIBN5eWQ2cSC0e+IP3svJTar5Kc27ZuOuX8cXQzVvk4tnrSpEmHXYOaCv3C0U0QHLptWze/IFg4ugli28mGxRZ52SKvw6Iq3AIXLp1a6Sl6v8IxRe8Vx+S2HRYdTihVxzngasp41fFoOxWwxL6pxOqdiyNoP3PtQTedzj4xjTkRLDbbx8vD2M+sBmI0gIkLFb04uhmxfJXb73VNo1Wi1UAyasA6/2TsFStTUmsAYR9k+SDkg41e5Pfbx2og1TRgnX+q9ZiV16gGEILYvXt3NLd/1qxZvvtfRgW2jVsNuGjAOn9rGlYDATSA1f7atWtldlxubi5NmTLF97KWAOwtqdXAkGkgWuSFFr024pwS+dEFLQrhtM3lyaVTeHRhCdIul5ZLZwpLEPm4tH79EYvVjz5ou3784PSR5YM3AGT4FBcX+w5WP566ZdTNj2tfznGcrJi5WLg6NIk5USwDirwA2CvPX91MxC1a8eKnBFfFFH60OunQlm4sXPmAm0vLoTOJhSNfkH5G+rCzyKuzszNpbvKCntWqH2Ef/PfEiRPlLV3Y7FUZMc4BacrGuP3CoQtiX7ptWze/IFg4ugli28mIJYIUNQDFJpa6SCPeUkY5Zxg66PyKvPz4ORXHoeXIqBTsxy8MLFz5uDJy6Uxi0Y1Z2RYwqQtQ3M7K4batiw4yIcsHRzfjd3l5uTzOIScnR5pyPOeP7+gcL7qwBBl7QeyLa7Om6IJg4eo6lbHIaxzx4DfS1rweJ63fAVYcfqotLq1OujCwcOXj6ptLZxKLbsxOLHCcXimU3LZ10eHY5o0bN0qZcHQzzvPxCm+kQr9wdBMEB9dmTdEFwcLRTSr7MFvkZYu8DpvvdRdGqdURt1gn3ko6VkjdMvrxw+fI7UdxF5wCnL9fXJtbHOXXtnOlztWhbjpOnwTtZ90ycvlxsHD7xDTmRLDYbB/Pdx37odVAvwZUYRd+19TU2Nx+axgprwHr/FO+Cy2AodDArl27aMuWLXK1j+Mc/M62GgqZbBtWA4lowDr/RLRnvzssNIAsn5UrV8oMMWzwIsXTHucwLLo+rUFa55/W3WvB6dAAnD7u6UUcGOmdhYWFOthaHlYDRjVgnb9R9dvGU0EDmzZtooaGBnmGP45z8Mt0SwVMVkargYhzVzs2VzlWPc7sBS9aJ08/FXNpw6CDbIqvm5y623W2ydG3n3yKnwksXN0ExZxMWLDBi5APfpeWltK4ceNkyEfd1uVl37rHC1ffYdBx+iRoP3NtWzcdBwtXh6YxJ4IlUIUvStth9KhqRCGVm/PC33GdnV/VrhKcQ8vlyaGDXLqxcNpVjoJLy6EziYUjXxDMqDOBbcHGYBOcaxz9bIwrYzw6OPmmpiYZ8oHzR8gHsqHy2M/5p0K/cHQTBIep8cxtNwgWjm6C2DZXRi6dDiwRFKqoWc6vaAWDEQMCB1p53frF5eectfza5vLk0unGwm03DMymsISBGbYFG8PGqrouNN7qmtt2InT47rZt2+SEhIpjXNVYUFAgj6Dws1fInOz9wtUNF0cYts2VkUvHxcLlZxJzolgizgOM/FZRsbRer7yKl18hDHhwaXXShYGFK59uzCax6MacTFiw2lcbvTizv7q6Oprl4zdWVB87+1rHeOHqWyddkD7Rbdu6+QXBwtWhbhm5/BLFYjd8vUak/UyrBtzChFob0cgMm7ybN2+WHGfOnGlz+zXq1rIyrwHr/M33wbCQAKuUVEqRjM3txyFuwJBqE9iwMC4LclAasM5/UGqzX3LTwNKlS2nnzp100kknRfeFcATy3XffLQ9F+/CHP0znnntu0itQ5fZjEpgwYQLr3P6kB2UFtBpwaMA6f2sOCWtAxR6feuop+vKXv0xnnnkmnXjiiZIvQic//OEP5QbuggUL6Mknn5T/xuSQjPnyCgvCPSq3HyEfW9GbsJlYBkmmgehNXpwNLDUA/AZCsm+UoA90YzGJ2RQWYM7OzpZpsw8//DC9/fbbdPzxx8t8ePVs375dZsx861vfkped33vvvXICmDdv3gA6RW8Si3L8CO3ggnakMwNLXV1d9ATPIP1sGotfsgUXCxcH+pDL0xQdFwtXPpOYE8US6ejokHFM/MZKzMtgMMhV/qvX2f9cflAcl1Y3nW4sXPnCwGwKCzAjPII0yLPOOotOP/10euWVV+QmqYqNY/VcUVEhJwk8OBfnpZdeopaWFioqKpITh/NBfr+yMdik28PVdxA65O+r28SQ5YOQz/jx46M2GqTvQGuyXzjjmasbLo4g+uG2rZuOi4XbrknMiWKJrFixQho3DB0ziZfzBw0GO84191r9c/kpxXHa5vLk0unGwm03DMymsCjMZWVlMi6OB+mR+LvaHIXzxwMZ8RkWGPiN/25ubpYnZeK/QY/PcHqmsjFMEPgs3sPVdxA6NWHhjl7IARvHpIW3APVw+SnMOscLt23ddFz7CsO2TWHhtmsSM7df3LBE5s+fLwcrbinKz8/3dP4w5MWLF9Ps2bN9i7w4/JTiOLRcGbl0urFw2w0DsyksTszOla7CCIeOs+/feuutqHPHagVvjXD0CKmUlJQM8O3YLMabBGwMefVeK3/ddoNiLsgGZw+nP2bMGDrllFMG3HAXpJ+ToV+8FnNcLFwcYdg2V0YuHRcLl59JzIlikUVe+PG7Mg8gnTEmL6Pi8gNPLq1uOt1YuPKFgdkUFoU5ni2oVTQcfH19vayKxRsC3jRxTEJxcbH067HfNYkFsjQ2NkbP7cdGLyYDp4xB+tkkFs545mLh4gjDtrkycum4WLj8TGJOFIu9xtFe43jY4hqOW/34rRyVk1dMEDfHClr9HatnZPl873vfizrRq666Sh6T4BbOUasp12W/+CCojCoU5cUTG7yYnIABGUkqt9/5HW67TgyxOoqVgcvTJB2nTxRNENvx65cwMHOwcNs1jTkRLDbV08sb2M8CaQChHGT74AwcdfYTVvif+cxn6KGHHqKtW7fKHH9MBsn4ICSljnPARm9sSCoZZbYyWQ0MVgPW+Q9Wc/Z7h2kAr6G44jD2wWFt11xzTVJrDCs9pKTa3P6k7iYrnEYNWOevUZmWlbsG4FwRDsJE4Jd/bkKPyCpau3atzO3Hih8pqckopwnd2DbTUwPRIi/A8zN29bkuOmebunjqllE3v+GM2e8MfJO6wcS0YcMGOcrx9oJJKt7DtQeTWLgy6qazmEd4zhK69Z0ov4jKy8bAxKrHywnjczz4zcnz9+MHXioH1Y9WN51uLFz5wsBsCotuzLA9JxbYpNtmKbdtDh1oULvS2toqs3umTJkStcvY0czhp76T7P3CxcLFEYZtc2Xk0nGxcPmZxJwoloiqqESGg1eRFwamuv0K1YN+A9OPnxogUDKHViddGFi48ilj0YXZJBbdmOF4lW1BP7C32Apg3XYDm0cby5cvlwVlOLcf6aloP16BGRdzKvQLB0sQHLptWze/IFg4utFti0H46cASQWGXWl1xirwwWHCLkd9NXgDix091LoeWKyOXTt2CowsLt90wMJvCEgZm9Ie6LQ7FXviJ93Db5tChsGzHjh2y8AyZSshQcnsD5vBT8iZ7v3CxcHGEYdtcGbl0XCxcfiYxJ4rFbvh6Runsh+muAQxyXNCONw5U9cbL7U93HVh8w1MD1vkPz363qA9qQJ29g0kABWk2t9+axnDRgHX+w6WnLc64GsDBcuoQN2T5+B1XbtVoNZAuGrDOP1160uIIrAFkS2CjF5u7iPOPGzfOOv/AWrRfSFUNWOefqj1n5U5YA709XdS0ZyeVlRSIy2Vm0+ji/IR5DpYBMsT9al24vMEnJ9P7bg4uL0uXvhoIdJNXkKIC0HKMWdH50YZBh24d6nZVmxz9BMFsAgtXvqCYhwLLAdFIW3eEjjz1IuroPkAZmeIo5wbcQ9BGhTkRGju6//KZ2CcoZi8szft6qE/sNRTnRigvN5saWrqoobVbpFEfoKyMkVRXmUMjxThSD7dt7F+s291H3X1tlDFqJI0vz6ZswQ9PV08f7RZtVBVnCt79nDljgEMXtJ91jwEuPw4Wrq5NY04ESwSvvjAW/Ea+s5chqJtj/Oi4/CA4l1Y3nW4sXPnCwGwKi27MKncZfIFJFSDGc8LctuPRjRIOsUvcEfPDJ7bQX9/dQ9UlWcJJjqC+3j7pjLMyR9J1p9XSaXNGy7+rYpogfQfaeP0CjEgpbWrvoW8/vpGOmVxIHzyqnFbUd8r/3iMmABJOeV9nL112XBVddUoN5WUdugDHa5zKW8jE93719230yL92yQmkp/cAvW96MV1/5liqKMqkPcLxf+//NtIZ80bTWXNHi/HeL6eOcR9EP4n0XyL2oHusmMScKJYI4p3oCGQ9wHjcjEANTLl6ELQKtFtH+PFT3+O0rdri8OTwCwMLp90wMJvEohsz7E/ZFgwbjs7peJ22xm07Hl22qB3o6xPFXaKC+IjxeXTnFVOpND8jyv4v7+ymbwsH2dLRSxcdXS6cY5dcjQexQ7d+ycgQGMXE89CrOygiFuNnzi2lLXs66NbfrqYjJhbSL6+dQbnC2b+xtpluenCVoBlBV55cTSMO9C/O3MbASEHXd2AE/e7V7fTYmw30vY9NoWPqimjtjn30uQdW0Z1/20T/efEkOdFddlwl/fKFbTSjJo9qizKiOo83loPYVxD9JNJ/g/U5QbBw5TOFWQeWCIpq1IOiLK9HrRDwHa87fLn8nG35tR2Upx+/sLD4tRsGZtNYdGKGbcGwcbaOV5FXovYwoltcW4pLjMTKF6t953P+gjLa0dRJv3qpnmaNyaOZYwaOC1WE5jlYDq78gSV2vCze2EqP/msn/fdHJlNBdoR2t3TTeQvK6aJjKqTjx3PM5CK69NgqenX1XvqgmICqig8VvLnpe/2uffTMkka66QPjpOPHM7kql+64fAot2tgi3wLwzBlXQJVFWfTEot30iVNqhXz9ISG3J6h9gQ/XJoaaLigWrnwmMCeKxV7mYi9zOWzMY9WjfrzCAVw6NMClVZWV6rebQwrCzwsL3KEyARR6YcIB5pNnlNCDL2+nN9a10DSxQh6lAuSCPiszkzbt3k//+48dMoyCVbd68IaQKZb05wpnfvSEbBlWcWLpFZ//U6zqx1fk0JSqHPm1ieLf1581dgDUDjE5tXf2iP2HDBGv758Q/DBv3t1B3T0HaGxpNv3k6S20btd+yhUhrCtOqqaPn1QT5Z+XPUqGgu4X4aH3zy6V+Lwebp9wZFTt+GEJk07J6YeZMwZMY04Ei8328TR7+2G6aQADuqND3DQ2Ujh5BNcdD0Iq6jiJwpxRNEFslLaLGA0iPv3u96AjFx49Szj4McLJYnPYsScrJ5KI2CcoEt+X/Ae+VIhN3W568b29cmVfmHso1ISzspw1Bsu3tNHjbzXQJ08bI9vwezDpbN7dSet27qOfPbNVhJAKaGJ5Dm0Uk9QXfruGbhZvA6fMKJWyAjUmno6uPtosQk7TqoXz9z6Q0q95+3kKasDfqlIQlBXZasBNA3D+e/c0UuHoysMcnvMtBw4cK+RRTs9+kGmH2CerKs4Vq2n3C+ZBiskkxvfTtr0dMsZ/2bGV0beJ/gmpI3qM9Ort7fRff1ovHHQeXSg2g8VxWr5Pn6Bo2Y/sIaIj6wrok6ePkd9BqOfLv19LPxcTwlQRAqoVExaeIjGhVBRm0NbGDuoRXwJe+wwvDVjnP7z6e9ijhZNtamqigpIKT13sF6vi+sZOmjd+4F3DmCAyxemjcKptIrNGbQTHMkPsPp7PRqol3g5yRDhGzSvgmZ3df4DdW+ub6Wt/WC9TTb9xySSZocN68HYiwk/43jnzy6JfgVM/dVYJffPRvdLRK+ePv2eKbKB1O0WoSGCxzp+l5bQiss4/rbrTgnHTABxs9LYukb0zIFZz8Esyt/vgv7E67xLx8/nj8g9zjEjVXCWyaL712AbavrdzwH4AYvpZIkZ/zem1dM7swmguvZJL7R3A4TqfkSNH0XNL99D/EzyPFpu1X/7gRCrJO3x4uu3BgO/4smzZXreYYAbwPgjKub2FNwTIWlOSaR3/MB02tsgrzmu90xa4xR5cOvDm0gahU3y97DgIP27BDIcuKOYwsIAnwiu4oH3smJpoSjPy+FVMXWV27BK59vf/vV5k+eTSjNr8w8LheHtACOVn18ykA/CizogJfLr4b1lU1dcfhnE67CqRZVNemClj7b0HV9zINnpSZN785OmtIhxURZ85sz9kE/uAj1v2Ccx4jpioUBPw3LJG+mRl/01k2Dj++3tNVC2yhWoOhnzw91YRItrV1C33BZBO6mc3nD4J2s8c2wnDZjlYuO2axpwIloizUAAxSq/sDhnDPFgT4GUsqkjHj58akCp/2S+zRCedbiwmMZvCohszNjydWLBSx0ZovIfbtpNu9+7dtGnTJhpb2+/8UUi1bGu7zOopPrjKxmr41dXNMgXo02eMpaLc/ste1KPi86hJyBWbvm5us0/k5XfEjBfgQ2XtCdOKaeW2dkJoqUBsDL+6UuT0/3o1TRBZP2UFGfSnN3bJVTmekrwMOn5qEeUIp75+535q7eihmbXiPg0xaXUfvFlPyVYrcvivPLWGHvnnTvF9fDciUjxb6R3xc+PZ48QGNeob+jeWN4nJB8LjO2KWEhhF8YHLw7Uvk+OZaw9cLFx+JjEniiXq/P0qfDFYYq8Nc0vHw9/9+DkHE4eWy5NDFwYWTrthYDaJRTdmOFSnjcH5exV5ce0GDg/FjDjEDXf1NoqY/6iRB+gkkc6JmP3rIvUSTvxgGRdNFqvmG8+dLNIk+ytrVRW8Guj4W38RmvuKOV6/AF+mKPI6cVoRfeVdMRGJTJzZY/NF0VcfnS9SQ/cLB/ysCP0gPCN/xP8miJX5ERMK5Fk9q7fvE6v6PXTbeRPEXsCoAXKhvQzB/1wR758sjoW466mt1CKOjyjKHUX3XDWdplbjTeCAmBT6xKR0gF5b1SyriycJrHh7cWJ0zgFB7Evph9svQ00XBItu29atGx1YIuqiaoB1FnzFWwSoCmB8x6/Ii8PP6Qz92lbK00UXBhZTmE1i0Y0ZtgXDxm/cFud3YxzHHrDSRZwexzfDcbe1tctQB6p38eP14Hs5Of35+EHt1a1fUDSGPPsnFjUIp5xHp4tce/z4PfPH59P6hv2ULTeLD5dLfR8877lqWhx2OFoiQqt3tNGq+nb64gUTKD8b29LiILgYjM4vB7Ev3eNUN78gWHTbdrJhsUVetsjrMCehuwBHGT2naIZbUMSVEW1j5b99+3Z5VSMmlrq6OjkZxDp0dZuXX/iRg0Nhdv5W7RWJg9yuO6OWbn90Iz29ZDedLc7Z6evupMwsFIXFf5voEvsDr4lwVKn4LjKFvB4VmsLNZLH8djZ30f+I/YzT5pTKtwGsvjEh+GGOhyOeDNx+MUnHwcKVL6htc2yH23aiY8Vm+/gtt+znKa+BA329tHLFCrnqx01dU6ZMievsEMqBwxyKp6Ykm245b7yQ44BMCe3o7hHO371lpOEfVVdIhWKlnoFDgXweNyzYEL5U1BjMFSmsGZER4i2oU7zxWzfgp890/Nz2ejr2qsVEPSKdc/Gid+nNt96hVWs30OaN62h0SRHNm3uBR8bM0BY6TT54vIPb3pmzG1UqZ6eoTqYDojKYkaUWzwzyReEaqoudK1ZrLsNTA9b5D89+T2vUWzZvptu/fQe9+MYKasqaSJ2jiujAvhzKWryUdu5tkyv/GTNnpZwOMEl0dnm/IaQcKCuwMQ1Y529M9bbhMDSwc8d2uvazN9M/dxUTTbuBRmUXUkReLCSKmrr20Qur/0rXfPZWevg391KtuLA99nyfMGTSydMrNq+zHcsr/TVgi7wYr886i1FgUtwCkiB0iq+XyQbhZxLzYLHg3P2f/vxeWrxDnMkz6zKK5BTKQiv1jMwTGTUzL6YVS39Dd3z/h/T9O74lDnLrj/Hr1o0Tg5/D1t12GPw4fRKGHk1h4bZrGjOnX9ywDLjMBdkOboaKv6uiAnUBjFeeP2i9+KkBCR4cWp10YWDhygfcXFoOnUksHPmC9DMycJRt4TcyUbBJG++JbRvfbd7bSH/6y9PUVn05ZWeJvPY+UZw14EyDbhqVmU2dY06h/3vih/Qft95EFVU10RvDdNphKvQLp/+C4NBt27r5BcHC0U0Q205GLBGkwQEofuPHy/mraktF6+X8/fg5Fceh5cioFOzHDxh1Y+HKx5WRS2cSi27MyMd39ovi7+b8nf2M7yLDZeeuBnGDSYWw4/7jFQY8ws5xhs6IvHJxsudu6hSLHdUGFwuXLhX6hYMlCA6uzZqiC4KFo5tU92ERVdyBgaQKvtxCB1hdQYH4jl+RF4efaodLq5MuDCxc+YCbS8uhM4mFI1+QfoZtOW3My85i284vKKBx48bQypZtdKCoqn8h41z5i/9G2mdvSz1VVVZRcam4o1ec0Kna4GLh0qVCv3CwBMGh27Z18wuChaObILadbFhskZct8jpsrg9SZMIpWlErPQ5tIoUrOTl59JEPfYC+++Cz1F05kzJyRUpj76FzeUgUM/Xsb6Pcbc/Qhy86j3IdV5iGhVlhd1tQBdUNV4e66Tg40gkL1x5MY+b0ixsWm+3jNSrtZymlgYhYxV/17/9Oi5Yso2fee4A6x59LkcJaeWbPgQN91LNnC2VtfopOmBihz332uuhmb0qBtMJaDWjSgHX+mhRp2XhrACEYHEfsl/mSqB5Hl5fTD7//Xfr6f36dfv/4N6mvcBxll4yhSE8r9TauoysuPoc+//mbqbKqKtGm7PetBlJaA9b5p3T3pYbwLS0ttH79+mj21xiRX19Tc+hMfd0oyisq6JSTT6a8nCyRPdRF02fMogkTxtGcWTOpZsw4imQwb8fSLZjlZzWQRBqwzj+JOiMdRUGq5iOPPEI//vGP5bk62Fy94oor6N/+7d8IJyyG8eDc/i1bt1HJ6HI68cSTaMER8ym/QOT828dqwGogqoFwRp9VsNXAQQ3g/PydO3fS3XffTSeL1XjYDzI0Vq5cKc/tz8rK6j/ETaR32sdqwGpgoAaiFb7qnGsvBWHVhpitX5onaDj80BaXVjedbixc+cLAbAoLB/P+/fvl1Ym4SOWpp56iI488ki666CJ5m1S8RwcWtIdnwoQJVF1dLYsI/R4OliB9B1odWJxy65aRy4+LI4h+uG3rpuNi4bZrEnOiWCJYJeFBNaXfa7i6EWmFOB7XbfAqY+XwC0rL5cmhCwMLp90wMJvE4oYZ+dTjx4+nhoYG2rp1K40dO1bWNvzpT38iTAiXXHKJLMrCGfuqsAv2h7cEVPfCxuC43W7yirVZDFaktO3Zs0fuL+B7OJ4ZfBB68rNt7hgIQpeM/RI7CXJsNgiOIPrhtK2bXxAsXPl0y8jllyiWSGFhoRw0GHB4TfbKxoAymsQVeMja8BpMXH4AyaXVTacbC1e+MDCbwuKGGX/H4gA/2Nj91re+RUcffbT0O8899xzde++9tGDBApo0aRIViMIsGDHsDvTt7e3yN2wMP2piiHVa8dqGk3/77bfld4qLi2nOnDlyAsAxI362ze0/Lp0awDrHC7dt3XRc+wrDtk1h4bZrEjO3X9ywRDA48WA15nWVG2gwqLAyQ7aG38qfw08NaC6tTrowsHDl4+qbS2cSix9mbPIqxw88VSLFUi0eYG+xNqcqbmFj5SJt0+uJbRvhnebmZnn146xZs+TkwtVhGHTJ3C9Bxl4QHGHo0c/GwsLCbdcU5iD9Eg9LtMJXXeDst/LHLAJav7tVOfzUrMmhVe3it5eMXDrVpi4s3HbDwGwKix9mfP7OO+/I1f4FF1wgjw958sknacaMGXIBEe9xYvFy/LFt478RwkTYByGnadP677D1k1G1oZtOrfx1jhfdMnL5ce3LpL51Y+HyM4mZ2y9uWGy2j+fa0n6YiAYwSc+cOZNWrVpFV199tYy9n3322XTDDTeIqwPzEmF92HfBG+1gNVRZWSnO+Bmnlb9lZjWQbhqwzj/dejTJ8CCsc/nll8sMH6xAEHv3CxkOBgLCPRs3bpRfxZuFX0baYNqw37EaSCcNWOefTr2ZxFiw8YpVuW7Hr7J8EPJBXBOTy9SpU7W3k8SqtaJZDQxKA9b5D0pt9ktBNYBVf1tbm8zu0X2+D2KfKuSDvYQKcbyDfawGrAa8NWCvcbTXOB5mIXDO6sfLfLh04KFSOf0cv/qcQ6dotm/fLusF8FaBLB9s+KqHK6NuOoXZ+dtNl7rbDoMfB4ei0Wk7prBw2zWNmdMvblgiKIPHqgyvzH6dhqIc0CIX2y/bh8MPgnPb1k2nGwtXvjAwm8KiGzNqR2Bb4Au7ROqmW5EXaJC/j1DSkiVLZJ0KUkiRSqr+Hoaug2BO9n7hYuHiMKlv3Vi4/Exi5vaLGxZxBHqGHGwYeKpc2O91yXn7UTzaIPy4tLrplNy6sHDlU8bC0XcQnuA71FiCyMehxcpdbdTit7p1yc3GkOED54+KXjyI9ZeWlsrvob0wdM3BEStvsvZLUCx+OEzqWzeWIPy4tLrpEvVh0vnjwSrLazXvfI0GnV82BZdfkLa5PLl0eNPRiYXbbhiYTWHRjRn9ASzK+TtDOLFOFW1v2rSJcGQ06JHlgw3feHQc2+Zi4dKpV3ITNsaVkUvHta8wbJsrI5eOi4XLzyTmRLDYaxztNY6HOUusUNSPX0Edh06tCDm0zhW73xsoQkLq7B633H7dWLj8FGbnbzc8XJ4m6Tg4gvYz1x5003GwcHVtGnMiWGy2j5+HsZ8nrQaw4kduPyao6dOns95ckxaMFcxqYIg1YJ3/ECvcNqdHA4j1r1271ub261Gn5TIMNWCd/zDs9HSAjM3edevWyfBUbW2tze1Ph061GIZUA9b5D6m6bWO6NIDcfpwwiwwhnB/ktTGsq03Lx2ognTQQLfICKE5hjU46J6+hbjtIMZHFHN/kuTrU3c8I+WCjF9kYOLd/8uTJrrbLlVE3nW7MqcAvFWS0/XxoLEdUUY1fURaUhsGGgaeKvFRmRqxrSPYCiTCwmMJsEotuzM4iL9gYCrdii7yAF7YK54/2cUMYVv+qWHGwtsjFwqVLhX7hYAmCA7rn8DRFFwQLF0cqY4kgLxpAMci8bjtylgiDDrnLXs7fj58apJy2lYI5PDn8wsDCaTcMzCax6MYMJ65sEL9Vrn+sQ8cdvTjFE5PF7Nmz5YUw0EM8e+TKqJsuFfqFgzkIDt3jVDe/IFg4ugljPHMx68Aixk9/2F9VnHrFtNSl7PjtF2Pl8FNtcWl10oWBhSsfV99cOpNYdGN22qO6CtJpk9joRZYPBmdZWZm8pN3vfl6ujGHQYZDqHC9hyOhXsBnEvrg2a4ouCBaurlMViy3yskVeh8333AIXLp1azXCLdRR9vIUIVvwbNmyQH9XV1fnm9nNl1E3nxOD2huxcOXJ1Y4rOq0+c/aRbj2Hw42DhthvUtnX3XyJYbLaP16uO/SypNID9JhzdjPg+wo5w/rrvB0gqwFYYq4EQNWCdf4jKtaz1akBd1YjVk7rg3S9LTK8ElpvVQPpowDr/9OnLtEeCM/vr6+vlXcA4zqF/1Y/TO0ekPnaf8GPqA7QIkk0D1vknW49YeeJqAA5/+fLlhDPMjzn6aDpq/mwamZltxPGrTAtdXQV+BYX5RrDowmD5pJ4GrPNPvT4blhLjghac2z9v7hw69sRT6e6/76VFG5rphrPG0hETC0LVCcJMzy5rpB17u+iy4yopLy+XGtu66Xt/2USrtouLjUaNoLPml9OVJ1WLlNNgoiza2EI/eGILtezvpYLskfT5D4yjIyYUSiZN7T3021fq6YRpxQJjYWDewSSx1MNNAxHcq6oKGgDeLYaKv2PVpYq81C0y8RTG4ae+x6XVSRcGFq58wM2l5dCZxMKRL0g/I+UQxV2wMWzqqiIvtIOirtbWFpp79lm0a99IembRLtojHPADL9XTxIpJlBvppa7unsPMkStjPLqRI0dQbk4uLd3aTg+/tpP+/aQa6ejrxSTwjT+uo4rCTPrcWeNoV0sn/eblHZSTMZIuOaZcjBPcMHbAdbyMGoV6hmx6bXULfe+vG+nc+WU0tTqP3lzXLPiup9svq6O54/IpN2sk1ZRm0S9f2EZf+VAWVReNEreU7ZcY/Y7aRiGcDrog9qXbtnXzC4KFaze6ZeTy04ElggIZAMWAU8Uy8Rw6GkNuP+KsoPMr8vLj53QKHFqOjEpxfvzCwMKVjysjl84kFt2YgQW2BRvLzs6O3kyG4j4c3VxbU03Foyvpnud3UVVxJn3o6Ap68JXtYvW9j46pK6BRkf6LiWKfzIwIZQl+7nsDB+Q+QqzdQJ7dYoK597mtNHd8Pp04vUjsLoygJxftpo0NHXTbBRNoSlWubG6k+PtDr+6QckwoR1vkOl7AF6v634hV/YTyHLr61FrKEJPKcVOLaEdzFz3yr100uTJXOP9RdI6YGN5a10pPvLubrjixkvLz8ihTTBxeD7dfOHRB7Itrs6bogmDh6CbVfVhEFWthwPkVy6i0unjFN7HGyOGnvsOl1UkXBhaufNJZMPTNpTOJhYsjESytra20bds2Ov20U6hx/0j6x8pG+vDxlXTazBL6y9u76V9rW+jISYUUESvqeM/+nkxauamdOrr7BoROsMeKPeNxo7PFKr7/2sjYMbBaTCybd3fQ1afUyNX2vq5eWr1jHx0rHPVY8T31HF1XKN9Clm5pE28iubIdr37BW8u2xk66/uxxwvGTmHx6KFv84/1zSunup7bQ1j0dNLUmj3IyR9Gps0rk306cXkzTqrNpxMhDF9S7TQLcfuHQBbEvbj+boguChaObVPZh0SIvNRvrSJ1TRS347cePS6ubznPp5PgwjHbD4MnBo7tdLj9lW4OxMazGV65cSVmZGSK9cxw9t7ZNOvGFkwtpbFkOLZxSSM8u2U0XHCmqfcUqOt5TL5zsT57ZQjubO2mkIyjfJ+wzKzKSrhDhnHPmlcqcIafNop3XVjdTTUlWlHd7Ry/tFY77aNF+RISFoo/4J/KOtjaKS+dFyAcrea+ncV+PHBul+WIIii92ij2NbBFiwreaxWeYHNQzrSaXRom2VmxroynV4t8+nc3tFy4dx7YUDZenKTouFq58QWyby5NLlygWu+HL1aClM6IBhHxQ0Tt33lzqHJFLTy3aIMI95TR7TP8m70fEBuxzS/fQ35fvpStPxhk/h4s5VTjMe6+d4Sm/fM2PSbdsbO2Wcfg54wooP/vQUEEbIO2/Ir7/UV/lbvgqMWMzPPHf4OHkU5ibQeNEKGmDeAPpFZ/7OX8jHWUbTTkNWOefcl02PARWb4w4t79h10467bTT6G0RunlBOPqOrh65MQqH3SlW51gpPyeycbAHUJynz6Sx8gfvMrGxqxb5cM6YJLASj/f0ilU/51Fk8djgM+dElC02kgtyIrRWhJvaO3ooMy/+3ganXUtjNaA0oG+kWJ1aDWjUgIrN4gRPnNefk19Mr72yg2aMyaM5YwuiK+M8sSl6ysxS+seqJlqzo52Oris6TIqNDfvpvhfqaU9rl4jDH3LayMjJEGGfD4pJ4ySxmesMCQ1g4vDnWcIR4y2gsb1brPwPFZhhuwGsEcZx8sFGcrwnX8iNyaujq09+LGsHxG+Ei5A1lJ81cGjK/QnQBEwl1dglllWaacA6/zTr0HSC05/ls4HOOP39tKP1AL2+pok+cWoNXX5C1QCYe4Uj/sTP36M/vbGLZtTmDQjRgDAvexQtELUArSJe7/SdcN2I21eLzCE41tg1e07mSPkm0dDSJcMtGCzIwBlbmiNl2XtiN1UWZUlZtu7pFKt1ojlj8sVbQb94yDKaLM4fincCbllBBuXnjKLXxWb1CdOKKCc3W2QbES0TaaXTBYaxZYc2kzFBtO7vpjqRWZQbMymkU39bLEOrgQhWH84fr+adGxHq3/HoufzwXS5tGHTO9t1w6243LMwmsHB1w8WszuTHbzj+TZs2UWFBARWWltODL+ym7p4+kdXTH+tH26gFyM3NFcVRo+h4UQj18D930MULK+kokfmDiLyKpxdn9dFFx1R4jqwDB/pkqqfTrkvzM8TGcjGtrG+ntv3ivgvhsDFZvH9OCT21eLd8m7hBZOvsaeuinz67lU6cUSI2ZPNkOwjb9PaNoPKK/nZjx0tZQSadt6BcZvHMF2mk75teIjaX98qUztsuGC8mnUOhneZ93bRZpJaePruUInK/wTu0xO2XIHQc++L2s2k6DhaublIZS6CbvFSRFwYdBqebEeLvfjeDqZHIpdVJ5yyQ0IWFK58yFo5+ODxNYuHIF6SfUeSlbuRqaWmh1atXU01NDbV2jaDlW1qFgywWaZk5wkn3iGKw/ZIWTj5P5L6fNKOYnhYO+b1t7TR/Qj71dHZQT2+/M++fJLpZhVHq6AaEh3JE9g1y718Q+wkbROioNF+EasTyft74Avruv02h//en9XTh9xfJt4kFItXz0+8fI1Iz+88bWiHk+MVz2+SbypyxebI4C2EmPGgjV9QzXHZsJSEp6FuPb6QDf94o+Byg6wSP02aVUp9I/ezu6pbFYJh88OCtRkwrAk+H5wTA7RcOXRD70m3buvkFwcLRTRDbTkYsEayc1CyHf3tV+OIaR8RiQedX5AWeXvyciuPQcmR0zsJDjYUrH1dGLh36S3e/cLFw6YJgUf2GVTiyfFat6qJpM2bRL0W2TmbGCJmaiWItZbdw0PjvoycV0WO3zJcbsaOEjY7KFoWIjrdaP1uMxaImgaki1FJXlUMvr9grJpUCWUvQKxY+R4h/P/DpWdTe2Sdj/UUiPNQvm3TvNF7UAKBKV7p7WbzWP86U8wd/zBMfPaGazpxbRt0irhQRMwHCQf3PKBolwkLg//yyvXSh2JdAKmtfX68shPN6uP3CoQtiX9x+NkUXBAtHN6nuwyJw5gAKxeDfXnn56jM1MNxoufyUEXDa5vLk0unGwm03DMymsISBGTaIt0ps9OI8H7lhKhxegXCEh55DtnoIO4lYv4NGbo72X+2YiH0h9PPJ02vpB3/bTC+JCeBk8YbRKVbxeXn5MgOnwMUPN4oK3vq9nXJPQG0Au42X0XD4BwTOEQMxdoow11/ebpCFZefMK6NMEfNpa+uUbzpe4zRRzLETC9e+wrBtU1i47ZrEzO0XNyx2w9dzDWU/HGoN5Ofny9g7nD8enNtfXFIy1GIMaG9GTT597H3V0pl394jJRAZovA6LIFnotUCEn7JHdIoJKMPXWbe2tlOB2N9wOvUOsepHqilCQVUlmaLF/v05+1gN6NCAdf46tGh5aNHArh3bacnid0S8fh8tX7qIps+cQ0ceeaTvsSNaGvdggvTKU8RREvIRzre109sBYw9gUkWO+MmkpUuXU/70GfKcIq8n3koeoaRPCcevHuv3w+7p4cXfOv/h1d9Jiba+fhv9729/Q28tXkGrdnZTe/FceuGttbTyveU0a8Y0mjVrVtLIHWTd3SXCNe3t++xqPWl6zwri1IB1/tYejGpg/bq19JnPXk/PrRtFmePfRyMLaylzQZ44L7+Btm97h/7r+78QVbzddNGHLhYHmsU/uM0oAJ/G7R3Dydw7w1s26fxl5oG4ENtrEwl0oMHrK377vcJy+AVpmysjl043Fm67YWA2hSVRzL093fTt7/2Anl6XRYXHXEVZxWNoxAFxJr+Ib2SUjKOcmnm0bM3f6Svf+DbNmDaNZs6eGzU7btum6MIYL6awcO0rDNvWjZmLhduuScyJYong7BRsIuESDb8sAqQUgr60tNRzAuDyg+K4tLrpdGPhyhcGZlNYEsW8bu1q+tszL1Phwm9QVlE1UbcIkag6294ucZ5BBmWNX0hbGhbR/z78R/pUQRFlHFx4cNs2RYd+TvZ+4eqGiyMM2+bKyKXjYuHyM4k5USyRCy+8UK6mkGHh94oKhaiqSr+3BA4/tYzj0uqkCwMLVz6uvrl0JrEkgnnv3r3U1F1AeTmialcUbg08JxP/2SvO3olQX8Vs+tm9v6Snn/ybsNFD6ZDctk3RpUK/cHQTBAfXZk3RBcHC0U0q+7DIiy++KFffuM4RaXZeTh0zzZIlS2ju3Lm+K38OPzVrcmi5MnLpdGPhthsGZlNYEsIsbO6F55+na794B3WISlyRDBk3koiq2BG9HXTG+99PP/nRHZQr8uvD0CEXC5dOrfx1jhdu27rpuPaVCv3CxcLVoUnMiWKRFb541PWMcUfgwT/iaj2EhgoLC33fEjj8VFtcWp10YWDhysfVN5fOJJZEMB911ALKH9FO7Xs3Ukbegv5CJ3HGjnpGjMqg7vYm6tzwEp175SeprLxcfHRokuC2bYouFfqFo5sgOLg2a4ouCBaOblLZh0Vv8lJn9Xit/EGDikv89tr0xazJ4admTQ4tlyeXTjcWbrthYDaFJVHM5RVVdMuNn6YvfPc31C5W+PkTjhPqgfNHMdNI6mreSu3v/C+dNCmLPnDO2QMcP7dtU3To52TvF65uuDjCsG2ujFw6LhYuP5OYE8USSqqn336A19tFsn2mjghINrlSTR5nKbqSfZSI51995b9Tk4j9//ShR2jHpn/ILJ9IVi51t2yn3oYV4vCzGvraV++msorKVIMs5cViKR3GA5xhujzphMXtvghOXwV2/txNEJSqJ/vDxeKXBZXsOJNFvng2kSlOrbz1lluoYUc9LVuyiLojTfT2O4vos1d9lE449tN03PtOpsrKgef3JwsePznwdjx//nzf6l4/PqY/B450GQPphmXs2LG+IXg3+wnk/HEpRZ24nAJHOz/66KNUVlZGp5xyirysAicw3nnnnfTee+/Jto477ji6+eabJU0yPvGwnHzyyfIoAUwKv/3tb+k3v/kNTZo0ib70pS/RxIkTkxHGAJkQo4TsDz30ED344IPR8NxNN91EZ5555qCNJFHge/bskbbx5ptv0rnnnkuf+tSn5Kmc6pV5ozi3v1pczl5VO4amT51CN9zwObrpxpuodszYRJs29n2sLp977jm66667ZBo17O2KK66gyy+/3PhxFVylwJZeeOEFQv+dccYZUbkx1u+44w5au3atxIQfv0xBbpth0cXDglXz7373u6QaK1744XcxtuGbIPuxxx5Lt4iFE3wWnqD9Esj5q8KHn/3sZ3TPPffQF7/4RTr11FNlwxs3bqTOzk76yle+QsXFxTJzCBvDyfrEw4J7YmEkf/3rX+mdd94hOE3UNXz/+9+n//iP/5CHjCXzA0w4Bx+yX3TRRXTUUUdJcceNGycHp4nX3aamJoK9jB49mm677TZ6+eWX6de//jVdddVVhM036Hvp0qXSQUK/8xccRZnZeYQ3glR+MBbeffddOuaYY+iss86S+q+qqop7q1ey4VTpkH/+85/p9ttvl7aEH9jXtm3b5EQO27rgggvomWeeoaKiIjrvvPOSclLzwtLc3JxUY8XLDtQ42blzp/Sx6IsnnnhCTl6f/OQnCWnTQfslWuHLiUsiJfOBBx6QF7VcfPHF0rlDuRAMRgEjqK6uls4fl3BwHrSrfrzog9L5te2GBbPrihUrpHF/4AMfoB07dtCzzz4r/1ZbW+t53wEHB+QKioXTN1gJoC9aW1sJRg39l4vsGDicrKz+qwadbevUtZd8cP6bN2+m66+/XqYIwwn+8pe/pLPPPlu+TcHpr1+/XoozdepUGSKBPfnFMnXrUDc/4ILtHHHEEbIf8AbsFgrV3Xai/LCR+Mc//lFepvPRj35UhnzQH+ibXbt2yUUexgbG+u7duwnp4u973/skxkTbjrXLRPnFw4K/AYuOsRLGeI6HGeNm5syZNH369OhbM3zVfffdJydhjHlOvzj1G1GZNmDk52RgvNddd50M+2AAY5DiO+CBfGasFF577TUpxA033EAf/vCH5eoOn7s9alfdr/0gdH68IEssFrUqxsoZExlWbHjgOLEixUAGX7y+x1tBc+UDTy5tPDr1iufUJ+KYEyZMkCsvyIm+wKoTf1+wYAHdeuutMnyF/kJf+OknEfmcckFXDQ0NEi8WBHjwBoAHkwL+vnLlSjkBQHZMBpARP+rWOPw73qNLRsVbJz/gBj680WDh8NOf/pTGjx8vw4eYADFmnJObzrYTtS98H47mIx/5iJTxL3/5C23ZsiVq81h5oi/VggJjAytQOFL0LexrKG3Mr/+8sOgYKzr0HWvfbvYAX6oe9M2yZctoxowZcnJetWpV3H7BIhf9AvrYcR+Bo3Y6PsRl0dnOBwqE0c6ePTva6cp4MThRbIBV2/33308nnXQSvf322/TNb35TrpQRFlID2W0Q4/sY/F6TD2Tk0qEdOPGgWFQb+G6sE1P3u0KGeA6JK58yFi4WJx30g7euN95447A+gsOZM2eOnJww6SKsgrj6D37wA/rJT35CX/va16SRoC/Q57p07YYDNgNZUBGO9pyPahuyLF++XDoLvKng2BCsJPHgM/y4LRy4+h5qOoUbGBAnR19gUw4rNIRK0Q/4b+hNjbuhltHpMOP1H8YinLt6A4N8KmyoxoaSXWXD4b8VjsHYdtwZXvwxUd3Ew6LaAsZEx0oi4zkoZugCbywYE/C1eGNGzB/jBmEfJQt+q35Riyn0Ccajc9xH4BDUl8AAK0Y471jnBzocrYvblZzODwIhvn/NNddEv4LZCLTYKMLnftfO4YvgwXk4dGgzKBZ8B4pBKAsxcigLD7BiVQMMMCQo0OvhyKe+z6V10jU2Nso4JX7i9RFis1jtq+f9ojIWTgevhVixAcdg2h0s5gpxgTnaU05c5SbDiNFHWEmqiQuTFeRDP+DfGJzOkFU8GYYSi7N9v3aRGIE9DvUgmeCll16SbwR4C1Ab3kF4JmI3g+k/59uJSlnFSv9f//pXdOKCP8CKFP2JCQJ+QvkEXeNZh3+IfdMCT2Ri4UfHWNEhY6y+4tkYFkeIutTX18voCmwJj1u/4O0f4yveuI8WeaETMYMgROD2wBHiFd15MQUGKgwamQ3Y2EI4BQMawmFW9XOWasWgnK9b20HoBosFbUNJiNEuWrRI4sEEBiwYzF5YuPKhDS5tPDr00Re+8AXXPnrrrbfkSvuEE06QNJgkMBGrcIvi6bfy10WHCQcOf5PI6EHoCa+n0C8mBWSGYZKFw5g8ebKUVy0s1MpShz3owsLtO7SHm8iQDYPsJjx4w8H+C96GY59E7CGefnTzc7ZRIm5VQ1gUixDE+BFiRBwaf+fqxyQd2lZvMVjkJjpWhhIL/Cr2XOHQ77777gFdz+2XASt/xQGv2JjB/eL+alBi0OI7eOAUsYq78cYbZbgFwmHFOU0cw+vHz9WLJfDBYLGoTa1zzjlHxmmxkYLZF6tpvM0k6wPnik1VvLGgDx9++GG584+/I46OFQJw+DnUMPBh0kFyAFJPkfYIB3jttdfKtxDE++HsIaNyHmHIMNQ8YfN4Y0F47t5775VjoLKykq6++mq5wEqlB2NJvQVDbtgYNuu/8Y1vyDdiTNrYzFcRhGTGFosFfZRMY8VLdxi72FhHiu3xxx8vQ9oY37jpDqnTXv3iNu6jqZ4cJ63CKVi9IAsAyoPjx2r/yiuvlJuOmJ0wwJH/H29zciiMIxEskA8G/dnPflYOXqxusG9hCgtHX3Cg2LxCLBn7MjAGvJpDDwsXLpRvLaYeLATUGyFW/3gLwf4RVsV4hYX9mFokhKkTvI4jOQIDFoN03rx5ck8mlR7YPPYtsM+kEkPg5D/2sY/JNxj0HxIjTNoXV59OLGpxiP5IprHihwW1U1hEYRNXhVER7kG0Aj9B+yVQnj9WxgiDwMnEFj0hFARDUY9KPeQ4Yj/QYXzuhQXtwaCVUXPOHgpDxiA8YdxqhsfkpcIoQXiESYvVCn7wqEwF/MabAWwpWe0kEZ1gEYSsmVR90CcqZXvx4sUy1RDjXDnSVMLlhiUZx0o8vUJ+rO7x43ycpxQE7ZdAzh+NqqwXr46HE0KWh9+mmGnj4WLByifZsZjWpV/7sAnsF0GPsI1169bJyQqrfk5CgB//ZPwc4RKk4+FtzO/2u2SUX8kEHBgDJsKGuvWSbliQTow3mMHY14AiL7/VV6IFF24zmuLr1dG62zbFDxjDaFvxTUYdOmXDhIviIUwAMFikCDuPBlA2ONS2qLtPFGa/moqw7EH3mEIf+fVJOmHh2oNpzIhK+PWLG5YIjBMzutoM8WKkcpOdG0DxnA2XH77LpdVNpxsLV74wMJvCEhQzwjzIxFK5/agQReaPShyAg3FiAb1XkRfHZrky6qZDP6txomu86JaRy49rX2HYNldGLh0XC5efScyJ2lfU+ftV5WFScOZqe50VA8X58VOTBpdWJ10YWLjyKWPh6IfD0yQWjnyx/Yw9I1VEiFW/4oHfiFnG1gN4FXnp0qHuPlGrQd3jhatvnXRB7CsMPZrCwm3XFOYg/eKGJXqTFwj80rVUFS4KVJy5/m6rfz9+TsfAoeXIqDrDj18YWLjycWXk0pnEEgQznCEOAMSKHrF/bCDG9hNsC4aN3wgL+V0a5NfPXB2GQZcK/cLpvyA4wtAjR0Zuu0GwcNvltq2bLlEs0SIvAMWPV9gHnysA8Ry+05lz+CleHFpFw5GRy08nFq58YWE2gSUIZsiHMA1y+/E9ZPjEy3nXbWNcGXXTOftDYXIbM7rbDoMfx77Csm3ueObScbBwdWgacyJYAmf7eDl9+5nVgJeDQ2Uowj4IGaIq1G+jymrTasBqIDwNWOcfnm4tZ4cGEOpBlk+65/bbTrcaSBUNWOefKj2V4nIiTxzxfjzpnNuf4t1kxR9GGrDOfxh1timoiJ9i1Y8ir3i5/abksu1aDQxnDQQu8oKy/GK1qVIgoROLacwmsHAxI1cfN6HhN3L7va7DTLcir2TuF27/cftEYdVdYKabn84+MY05ESzRy1xQMIACHDfHjr+rAgl1AYxbFgP+7sdPzbhcWp10YWDhygfcXFoOnUksfvJBNtDgADCcOooH5yUh5TPe0Ro45E3ZFn6rs//jrc782jZpX2pA6h4vJjAHsS/dtq2bXxAsXF3rlpHLTweWiBqE6sYXr1W9qrbEpp3XHatQHIefAsqh5fLk0unGwm03DMymsHAwQzacbwNnjjN8cKY/vhfPfmB7zhvilF24OX8TdsPBrORN5n4JYodcHEF4cvWom46LhduuScyJYomoQ7XAKN7tQs6BF6SogMPPOUj82gYtlyeHLgwsnHbDwGwSix9mrH6x0QvHjiO/EfbxuhRHFXnBLv0Oq/JrOwxdB7HDZO6XILoJgiOIfkz0XxAsXPlMYU4Uiy3yOli4Fm91qWZ1bvEIhy4Mnir8lozFRAj34BJ35PYj5OO3X5TMWIL0naJ1/h4qG+MWKAWh4+AIop8gbXPGVRB+HCxcfqYxJ4LFZvu4jUj794Q1gBAOrmrEb9zUhbPInSd4JtyAZWA1YDUwaA1Y5z9o1dkv+mkAuf24sQsPDnFL13P7/fRgP7caSEYNWOefjL2SBjLhtVnl9uMQwClTpkQvzvYL/aQBfAvBaiDpNWCdf9J3UWoKiFCPyu3Hfa/4cTubPzURWqmtBlJbA7bIS2SheD1BCmE4xShoSzdPbhFOGO26Yd67d2/03H4c3YzMHa86EtUHyYjFaR9cHap+dv52szMuT5N0HBxh2TZnXAXRDQcLl59pzIlgiWBA4hUdedhIweMUeeE7XvffcvipgcCl1UnnLJDQhYUrH3BzaTl0JrHEk0/l6uPCb+g2OztbrvpxnDP2ALwGMuxP2SN+4ztu9SQc3ejWdRB+ydYv8SYejg6D4AiiH07buvkFwcKVT7eMXH46sNiwT2q/uSWl9KjMXbVqlZzkkNs/evTopJTTCmU1MJw1EMHKDA9WWH7ZGOoSZ3zH7yYvDj+leC6tTrowsHDl4+qbS2cSSzzMOLe/qalJXsuIkI8q4MNK3s/GYFtY1Sgb87Izrr5N0SVbv8RzdBzdBMHBtVlTdEGwcHSTyj7MFnnZIq/DfAK3wCUeHQaMuqAduf04zkG9ynKLdRS916osERndQiBc+Th0TgzJWHwXRp8E5cnRYxj9rNO+TGNOBIsN+wzn974QsKvcfgxa5ParVT9W8+rohhCatSytBqwGAmrAOv+ACrPk7hqAw1+zZg21tbXJsCCcP16zm5ubCaEgnPODTV1sAMe7v9fq1mrAamDoNGCd/9DpOu1bcub219TU0Pjx42XGzl133UWPPfaYXPkj5fOWW26hc845xx71kPYWYQEmswas80/m3kkx2bDJq87txwXtWOU3NjbKlf9vf/tbuflrH6sBq4Hk0EC0yEsdD+olFl7lEbv1y/QBDYcf2uLS6qbTjYUrXxiYTWFxFmSh7gOHuCG0g4wehHzwwPGvW7dOrv5xg9dJJ50kf9wek1g4Nhukn9MFCxdHGLbN1TeXjouFy88k5kSxRHD+Ch68nvs5dQxwDG7kcPudzsjhpxwAl1YnXRhYuPJx9c2lM4UFA6Sqqkp2I+wB8X78njt3LpWXl8u/I9a/c+dOKisro+3bt9O9994rCwpPPfVU+VaAtwX14E1h165dURvDxOF1aRBX36boTPUL1264dEFwcHmaoguChWs3qYolgjgsNuow8BCPdavwBUAU76gcbKyS3B4uP3yfS6ubTjcWrnxhYDaBBXjh6HEp+z333CMvbEGmDwbXq6++Svfffz9deumldNxxx9Gdd94pf+N58MEHZQho1qxZcg9A2R/sCvycef54g3A7D4irb1N0YYwXU1i49hWGbevGzMXCbdck5kSxRNRl2hi4fgU4GIi4mINzLjuHn5o8uLQ66cLAwpUPuLm0HDqTWHAMw/HHHy/DO1lZWfLc/ksuuUS+SSLGP3bsWPmjHlzo8tprr8n/LC4ulj/OBzzwBgobU28PbosMjm506zoIP5P9olM3QXAE0Y9OGbntBsHClY/btm66RLFEi7wwi2C281v5gwa0XlfsKRo/fmrW5LTN5cmlU23qwsJtNwzMJrFgpX7yySfL45sR3lm4cCGdccYZUX/9zDPP0KZNm+i8886T4Z6nnnqKjj32WNcjH5xYXF8tD74xmrCbIP1sql+4MnLpuDjCsG2ujFw6LhYuP5OYE8Vis328PIz9zFcDra2tckN3x44dMmyjKnrVoDj66KNpyZIldOGFF8rFxWWXXSbDQVjh28dqwGrAnAas8zen+7RoGasPZPngFRS5/c4QD94iEQa66aab6Nprr5V48/PzPS9wTwulWBBWAymgAev8U6CTkllExPpVbv+0adNkim/sg78VFRX5hhWTGaeVzWog3TRgnX+69egQ4kEaJmL9iOUjWUBd1RhPBIR8ECIqKCjw3FcaQvFtU1YDw1oD9iYve5PXYQOAe4sRQj24oB2OHef2e2XnqFROr4QCCOIsHPMamVwZTdGlExZunyjMXhf2qD411S9cLFz5TGN22pnbeHHDEtm3b58cvH63LDlvjsF3kO2D77mt8vz4qe9x2gatTrowsHDlSwcs0B/wItyDoiw8OMcHfY5N33h2wdEPwkPKHvEbBYXYU0jExjjt6u4TNSAhP9rXNV5MYAkyVsLQo07MQbBw2zWFWQeWCHKqARQDT5ULu80gquAGtH5FXhx+SnEcWq6MXDrdWLjthoHZBBZ1WxdCP7ipC8c5+KX/+vUzJg5lV/jtda0oV9+m6NDPJvrFpH2F0bbu/tPdJyYxJ4pFOn88WKV4DV7n6xro/I6C4PIL0jaXJ5cOs6dOLNx2w8A81Fjg/FHVi3bh+FGs5RfS4ehHVZnjN5w/ftweDr8wdM1tV70BmLAxroxcOq59mdS3bixcfiYxc/slHhZ7k5e9yesw34rVlvqJ59DxGc7xaWlpiZ7b7+f4/XgqIVTIyC2k6KTzktE0nVoROn+7TWJBdGMKMweHojElI7ddDhZun5jGnAgWm+3juq60H7hpAKEe5Pbjd2VlpTyt0z5WA1YDqaUB6/xTq7+SQlqs+FVu/+TJk31DgEkhtBXCasBqYIAGrPO3BhFIA+rcfhzohnN9cJyDV1w+EHNLbDVgNTBkGrDOf8hUnR4NqasaERNFeicyfexjNWA1kHoasM4/9frMqMT19fUytx9pmbiqUeX1+234GhXaNm41YDVwmAas87dGwdYAVv3Lly+XhVdI7UTIx6veg83YEloNWA0MuQYibW1t0epZtO62gsPfcUEHYr64vQn/9qvw9eKnkKpKOj9anXRhYOHKB5xcWg7dUGFRt3atWLFCZvngshU8qF7Ff/ut/DlYUDsC24KNgS/ODIKdxXs4/HTrOgi/oeqXsHUTBEcQ/ZjovyBYuPKZwqwDSwQHcgEoBhz+7TWIsbGnrtrzq+bk8FOK49ByZeTS6cbCbTcMzEOFBYe4wTmj73ENY15ennTSfnbDxQzbwyaysjFMBm5vFlx9m6ID5qHql9gJQDdmLg5uP5uk42Lh6jCVsURUpoaztN7t/UNdpq1K773eUzj81Pe5tDrpwsDClQ+4ubQcuqHAgjZWrVolFwrI7cdmL+wADpsb+uFgUbxAix8dNsZpV3efgN9Q9IubfnRiDoIjDD2awsJt1xTmIP0SD0u0wlfNYH6v74rOa1A6qzT9+HFpddMp+TmVpBzdcOVz6g/f8dJPEJ46+yVeuzi3H8c54MFxDs7jPfxwDAazp9cXH3J1Y4rOKf9Q25huzNyxMph+9rMdU1i47ZrEzO0XNyx2w9fPy9jPZUgQFb2IwSMsA+fvtyq3arMasBpIbg1Y55/c/ZMU0qncfkwC2OitqKiQcvmtaJNCeCuE1YDVQFwNWOdvDcNVAyoktX379mhuP65qtKt+azRWA6mvAev8U78PQ0WA1f6yZcuiuf04y8dvHydUgSxzqwGrAS0aiODV3bkhwOHq/E48+iD8uLS66ZybJV7hizDaDYOnCsPoxAKeiPPj+GbwRVFXfn7+YfbCCf9wMKsbwpw25cabw88ZmvKTUTe/WAw6+8UUFr9xb1Lf3P7TPe5NYk4USwR521Ac8rXxcIq8QIsqT6+B6cfPKTiHliOj6gg/fs4CCV1YuPJxZeTShYUFB7cBE3L7m5qaZKgH8X7oSzlp3ZiRQQT+3CIvv37m6jAMurD6ZagxB8ERhh65NsahC4KFwy/VfVgkNzc3enEH/u31So8cbDgBFPX4FXlBeX78nKtVP1q16tBFpxsLV74wMIeBRd0QtG7dOmkf1dXVMssnKysruqjVjRltwracNuZ2Yxy3bVN0UFIY/cIZV7oxc3GEYdumsHDbNYmZ2y9uWCLOg7nwby/nrz7zK8BBY6D146cUx6Hl8uTS6cbCbTcMzLqxQEb0HY7+2LRpU/SqRqR5Ou0jDMxqMxntqB9nCMW52jJhN0Ew6+4Xbtu66bg4wrBtU1i47ZrEzO0XNyx2wzeeZ7F/k2fqILcf4R+s9rHqtxu91jCsBtJHA9b5p09fakUSm9uPIx3sYzVgNZA+GrDOP336UhsSvCbizP6dO3fK8I/N7demWsvIaiBpNGCdf9J0RfIIgmwbHOKmzu23uf3J0zdWEqsBXRqwzl+XJtOIT1dXFyHLBw8cf0FBQRqhs1CsBqwGoIFokZdKB/JSC2jw+NGqzxW9H08/fs42/Xhy29aNhdtusmMBDjj+lpYWmaqoVv3x9B4WZp02xpVRN53CkA5YuGMlLNvW7R909olpzIlgiRZ57d+/3zO1LmiBhB8/NSGgYzm0OunCwMKVT3WWLsw6sSC+jyyfRYsWyZBPeXm5/EHGjzo73DmR68bsLPKCfvAG4neTl1c6qG5dB+Gns19SZawE0Q/XdnTShdEnpjDrwBLBbUxqZsW/vdL5MBjhIFBoxSny8uPnnLX8aLkycul0Y+G2GwZmnVhwnMO2bdtkP8+cOZNKSkpcbUI3ZtgebEsVeSHF1M3OuG2bokM/6+yXMOyGqxsuDpMy6sbC5WcSM7df3LBElLP3K6oByFhar3AOh5/6PpdWJ10YWLjyKV36rVq5dLqwYKN35cqV0XP7p0yZ4nuCp27MTixOm4tna9y2TdI5+1DHeDGBJYh9cW3WFF0QLFxdpyoWu+HrNSKH2WcI7aCwS13Qrju332+/Zpip28K1GjCqAev8jao/uRpHXv+OHTvkah8bvep+Zx1SYhVVWFiog5XlYTVgNaBBA9b5a1BiOrDAal+d24/UzgkTJviGfOLhfu655wj7N8ccc0x08nj88cfpoYcekkdC33TTTfICePtYDVgNmNWAdf5m9Z80rSOrBsc3IzRTV1fHzu1XcVFkBz3wwAP03e9+l26++WZauHCh5PX8888TJoTTTz9dHg1955130i233GIngKTpeSvIcNWAdP4YwJwTONWJi37X+HH5BWmby5NLpxsLt90wMOvAsn79epnbj3TL6dOnyxx/vweYcQQzvgfHj5DRaaedRkVFRdKmMKG8++67NH/+fPrEJz5B9fX19LnPfU7uK+Ae4HiZZTqwOOXm9otuOsiQLli4OMKwbd39wsXCbdck5kSxRHA5BFZonEsiMJhBiwtg3M5ZhzK4/ILQcnly6XRj4bYbBuZEsMDIsWpfsmSJdNZlZWU0evRomfGjHFjsUc5O54p9AXx++eWXy35HeEdhbG1tlRPCkUceKT8DHS6EQSop2kKoybkJDFnU5UL4jVx/t01irr5N0UEHifRLvInXFBYujjBsWzdmLhZuuyYxJ4olgjNc8GAg+m3wQSGq9D/eqs1psBx+ip5Lq5MuDCxc+bj65tIlggWrB6zcly9fLh1+cXExbd68WTpd9DFsYsyYMXLVvnv37gE+CZ+PHTtWhnAwacAYVVEWvg/n3dDQIL8Du8GDRQP0hP/euHGjbFOtYPC2gQPllI1hAsDE5PZw9W2KLpF+SSbMQXBwbdYUXRAsXLtJVSyRI444Qg50XNyB+1m9nDoGJao/Z8+e7VvkxeGnZk0OLVdGLp1uLNx2w8CcCBbk9v/rX/+SThkbtaeeeirV1tbKFbgqvIPT/8Mf/kCvv/76AJ+EieFjH/sYfeQjH5F/V45aTRzYOMbEgTZQsAWeeMNE4RbeAmBHsQ8yjkCLz3B7mNvD1bcpOjXh6RwvprBw7SsM29aNmYuF265JzIliicb8AcJvNe86EmM+iC3U8foel1Y3nW4sXPmcevbTdxCeHDzx+MExr1ixQi4A4KjhcEGnHDj4YlV/++23c5oYQINqXcT2kUX0/ve/X75hbNmyhSZOnMjaU0hGu9HdJ2HYA1dGLl2QjufyNEXHxcKVz2T/JYpFOn8VV3UOeC7jeHRB+HFpddNx8YXRbhg8OXjitaty+/H92HP7OfaAsA1W8mrCQKgHf8OkgjAO3iTuu+8+uvbaa2V4BxvCODYi0Ue3DnXzC4JPd9u6+Q1HLFwdBvGfXJ5cOm6/uPHzT+ngtmDpUk4DKrcfcXoUYOE4B+XEOWBgVMr5gx6TwIUXXhg9nwe85s2bR1dffTU9++yz8q3ikksukRlC9rEasBowqwHr/M3q32jrztx+FGANpgLXGbrCSn/u3LmHYcK+En7sYzVgNZA8GrDOP3n6YsgkUQ4b2TYovILTDvuqRrwlYLMX+wB+ex1DpgjbkNXAMNZAdMMXA9JvUHI3QRQvP37QO5c2DDrVvlf/6243LMxcLAorYvLYiMXvqqoqeZyDesLCjLb8bEK3jenGwuXn7A8OZu74M0XHsa+wbFs3Zg6WoP2sW0Yuv0SwRJCeh1UZfiMM4Gao+LtK5cNvbN6pjYRY58nhp77DpdVJFwYWrnzAzaXl0AXFAgeM/kN6Lap60QZCPkjbVEVXnHaD4FC04O9lY7App41BVvzEe3TLqJtf0H7xG39B9K0TSxAcpmTkthsEC1eH3LZ10+nAEsGGHYAiZxSv/17OHzQYjOo7Xs7fj5/T+XNoOTIqBfvxA0bdWLjycWXk0gXFAueL8MvixYvlb+T3Y9UPfYAXcHCxcOm4WGB/yrbwG7K6FXlx2zZFF7Rf/GyWq0PddEFw6G5bN78gWLh2o1tGLj8dWORNXqpBFHl5PRicWJ3hO17HO3D5OScAv7aD8ETH+fELAwun3TAwc7FAPvQf+g6rfhjQ+PHj4+bdc7CoiSI/HzY0wtN2uP2nCsuwN4BiL/y4PYFkhJ0LvF4Phx8XB+jQL1gs+d18F4Snbhk5/Lj2FYZt69ZNECwc3ZjEnCiWQeX5u634nYpQneYX71S88NuLVjddrKxeDoaDhSuf4qWbp5OvGxa1sscRCjhzB8/UqVMPO9aDiwX8Cgr4jj8IZt+ZBNNNTDFavO/A3+dmZ7IcfxD5/OwVvJD6On/GJM9q+DDsgdt/XDruWEknLEF0w6XVTcftF7d2bbYPx8ukEU1ExPZXiasaEX/H6Zsqt38wEDt7+ujup7bQ2h04HJAoO2MkffSEKjp2StFg2LG+A0N+ctEeys0aRcdM4mQOjaBd7US/f20znTGnlGaNFUeYsFpyJ+p3/P2fP7ukkfKyR9Ixk4soMvIQ5w279tNPnt1K7Z3ibYuaxOeF9PH31dCIkeIcrb4D9I9VTdTW0Uvnzi/z3QRPUFz7dauBuBqwzn+YGMbmTRtknH/NmnW04r1llF9QSAuOmC8vaB/M8/TiPfTAS/U0tTqXTphWLJ3/nrZu+u5fNsr//tTptZSfPTjzctvkhZyLNrbSH9/YRZ88rYayMv357+/qn6D+58V6mlAuzhMSzj+RB28b+bkoUhtBf3t3N33jkXV0+fuq6Oi6QxPem+ua6ZuPrqcpVbl0nHD67Z299JiQuaG5m657f614E4nIifLBl+upqjiLFkxIfEJKBJP97vDUgP/oGZ56SRvUbW2t8gKVJ59/lRr6yqm1L5d6WndR/v63qH1/Bx19zEIqLy8PhHfplja682+b6PTZJXTD2eMpJ1MsZw8+1cWZ9IMnNlNtSRZdemwljXKshkHiE3aX9G6ny9Y3dtCPnsQKfjQtFM62u1ucCCra9goXPv5WAz306g7JFw430UdOcvsO0I+fXEt/enMX7WnpFnxHRXF1dvfR0+JtoLwwk755aR0V5vQPsbGjs+hbf95ICyYW0GmzS2mheFNYt3Mf/e7V7TShbAIVib0NP90kKrv9vtWAUwPW+aexPbQ0N9P1N91CTyxtof21H6VIfjmNHCUyuugANe/bQ39852na/dmb6H9+cTcVl5SyNNEhnNujYhVbWZRJ15xaO8Dxg8EFR5aLz7Jo5tg8GhnjzRADh3NsbOuhHhH6iH1AnhXJpe985zvyaGnnA6e7eHMbNQhne7x4s0D4pKurmzIy3TeE31jbTH94fQddeXINPbVoN/Uhk0mu2Qf/tOzvobue2kzLt7TTly+cKFbv2yUzyIcnIzJSrO7HUJaYaAqyRlBjYyOVlpbQnHEFlC9CVW2dIrX6oAzHifDYw6/tpDfWttCZ86D/RCQbPCb7zeGpAVvk5bPc4hZ7cOlgZlzaIHSKrzLjnp5uuv9/fkXPL95JPTOvobzCKqI+nI3f73oi+aOpO6eEXl72P3T3T35GX7rt1qgj9Wq3ZV8Pbdy1TzrgwtwI9XSLFOEMsaF68EEs/tRZh4eSwBPOf+X2ffStxzbQ9r2dA94KEAfPEivoT5xaQxd+8CKKjBroCPd19dLf32ui+WLlXCNCJcBw+PRxaBA3NHfRT57ZQvPHi5W2kOfF5Y1RBx1vqHN1jZX8F86fKGQn2ivCXL8XztspB150ygoyZBNIU21s3EOlxUX07oZW2tfdS9VCdoWsqjhb7EEU0Curm+ikmSWU5z6PSX5cGcOgi7UvN3cZRtuKp5eLDtIuBwuXXyr0ixuWiLoNBr9Vrrfb4HDSqkyLeLTYEPPjp77HpdVJB9l1Y+HKB9xcWg5dPCz4W2tzE/3vI3+m5orzKSdPrCp7xc1cankqheiljNxi2j/mdPrfPzxAn7r2ahpdViFTE+O1C56RiFi5ik3KHXtFTcBBHPtFrUC2CIGr0At+j0IBoPhc8XJinlqVQ/9z3SzXAkFMJi/+/Xk69thj5QFwkAWb1Fv3dAgH2iI3lDPExIC/406AeE+fmEgQksGbx7Vi76FeTDTON41e4ZTxFuB8nJgRdnILPfX19VIhnPTIUSKGL+peHHycfJFSC31NrptAS7fso3tf2ErHTSkWeyR5crMdT4aYQabX5NILYmJqFW8UuSKEFXu7mZuMfplxnPE3WPvyyvbj8NQ9Brj8whj33LZ10+nAEoHDR4dhlcJx/gChbmVyMwIOP6fz92tbKU4XnVKcTiymMMfDgvxfFHBt2ryFRh4/ToRIkGIScyMWMlaEkxtZiGsVRVaKqPgtLhFvAwev6ozVtXT+o3Lkihyr+wiWvsJ/xtKNFEvfSE62mBzEBCvCMj29hyp0YTfI4x8lOz9+iANr5rVr18oD4oDjwIE+4YhzaG97j9w4rSrKkLFx/N2t1uSlFXvpn2ua6fbL6uRKG28rkKtAbLSiVbwVOeWKtS+8obg5f+inraNDHIJXEA3fqImwW/DtPYhX8ViypZO+8vA6qhB7ANefNYaKxNtS/5jrE29CWVQh8Gzb0ynCWV1UWag+i/9Ow7UxnXRBxorucaqbXxAsXB3qlpHLTweWaJEXGvUrjFKl+ZwiLw4/56rGr21Fq4suLCxc+YLox49nPCwFIpsHl7Bs2b+bDvRVSmfcH/I59BwQq9heEfsvLR0tYuwlMiyDHy9dw3lVlWTKsE2vYFcgnGBGxsB4xb9EDHt3a5cI/5TKNEj15InCrW3ie3/61y7hzLsH7AlgBY2V8GliE/m6664bIKccEAdlh9HDkZOYQtDOC8saqUs4XGzoYhV99KQi+qHYcN4j+D/w0naJun5vB+1o6qRfi+yafWLP4UyxYZzlsverdL2tUcgp9jYgJ57ivAhdvLBSbGRni3m0p39CPahRGUgTcmXjFcjxvLyiib7x6DqaPSaPvn7xJBEO6tetU8eA1Y0jN4QyR4i3CRSE+T1+9mB6rOi0bdNYuLo2gTlRHxYt8sJM51e44iwW8DJQxcuPnxw8B9v1ow2DTrWvAwtXvrAwx2LJFiGTC889g3759N+pt2I6RTJFiKS335HJR2z89opVbPa2F+j8s99POQ6n44WlIHsUHT+1mO7/+zb60FHlNHvcwNRJhFi+9shamlKZSydOLxYNHXSSB0OBCD1h5Q7/7dxuARX+BoN+/fV/0YIFRwxwkli1Z0bEBqp4A8BeMZw6JgF8R/3IDeOMEfSxE6sJznu/eFNQjhn0+Fyt0mPfPA7DfFA+JaPavFZ0fg76L283iLRXkREl9htuu2CCfFuKffCS0LyvV2ZG4c3A7+HaWBh0nLESlm1zfROXjoOFq0PTmBPBYrN9/EZcin6emZVNn/nUJ+jdxTfRmysept4pF9DIXLERi5i+cIG9+1vowJq/0rzCPfT5G79KWcwLVuBwkdHz5roWuu2hNfTfH5lMR0wokFrCKvn2P4nD4oR3Rj67SnNUKsR5PbWlBSL8MdZVq+0tjXT+Z/+Dfv/738srINUzZnQ2zajNp/WieKpbrJKzxERw9PgssdKfcBivy0SKqfNZsa2dFm1qpSvEpHDKTF5WExxyPDljQ53YqHZuH+AN5unFjXTnXzfRR4+vpM+c6Y4V+xBrRLpnpWirULxZ2MdqYCg1YC1uKLU9xG2NGz+R7vrBHfT1b/wXPf7MbRQpm0GRwkoa2dVE3Tvfo4tPP4K++IXvUd3kqYEkg1NHGOMxsan6NRHPVkEZrMiRx37P1TNomij+ivf4veG17uui1atXH3agW5FoE1k7yK7ZLeLjtaWZ1NreIYrVsAfgnSKJ9EyQYLNaPSvq2+lBERa64sQqmjlm8EVW2AORbzEHGe8ShVz3Pr+VVm1vF0Vge+j5ZXvFZIXTSfuzmT5+UjWdv6BMvrXsbumURWuXHFshNnsPfzMI1CmW2GogoAas8w+osFQjnzZtOl3wgbMJzrNd5JhPmDSaxo2ZTXNnfoJmzp5HRcz8/ljco/MzZJ7/ydNL5EYswitwhHUVOXFDHFy99cfOxYZxjEPHfx4pJpb/fWU7vSscZq3YnJabzoxnnkj3/N3n5lCpkFk9VaJOobY0i1C3gJV7kAx7YMV38DZy77Uzxb4GsoP6OZTmR+iHH58q3046RHUxJkS5XyH+j9BRtdgv6d+zIFqyuZVKxIr/JJE2O2pkohUIDEVYEqsBhwas809zc2htbaWG3Y00btJUOuaYo+moBQuodPRo4e14jtNPPVOqkW6ph5dfWxMqckUYZQw9Jqp2p4iU0boKTBLe35KpoiN6RYXtwLRQOP3Wjh6Zk9+fPeTX+uGfI+UUE4jzyRRFXhPKD2387mvdS7kFItzmeNAWzkP6y9u76cPHVYoN9Czq7OikTFnlG2QaCi6z/YbVgNKAdf5pbAvIs18pDnHDBIC0yenTZ4icf7FBq8nxw7G2tbXLLLGhcFpYMJ8iMog2NHTSyvp9NL4si/qTN72f/eIYi3yxIlcyws+37u+VTrpCVCOH9SClc9mKNTR//vwBm9c9ol8QdsIbyUkzSuUbQZfY6Ibzt4/VwFBpwFb4pmmFLwwIzvm9996TxVZjxoyh6upq18tRnAbHrW7k0oE3l9ZZLBZvEGBl/SmxmYynQ+Tbi2CT51iJ1y6mCxxIhx/1BJFP0foNUjcsSGnFpnk8nXvx1C1jEH6qDzmYOfoJ0rZufhwsXPmC2nYyYYlgAMFJIBMDhS1uKzj8XRWE4TvO6s1Yg+DwU9/h0uqkCwMLVz7llP30zaWLh0V9t6GhgbZu3Sr7St3WhXb9jJ+LhUvHxQL7U/aI30j7VNWwsY4SRVJ46/DbQHaTsX/O768U5soXhM7PxqJvIQdTnXXZQxAZOf3nh2OwY5/TtkksXPl0y8jlF6Rf3LBEl02xKWzxOtXpsIPQ+60W/Hg52/XjpZTnRedsj5O3rVs+joxczG5Y4DRxQTscaEFBAU2ePFlO7rqxcPlxMXP49fcZxxL6aeLx7P/+4Uc8cLhyZfQaL7E8ODy5OtRJF3Ss6GybOwa4dEGxcPvEBGYdWCLqfBQ4C5yl4vWoNwPQ+V3jyOGn2uLS6qQLAwtXPuDm0nLo4mHBW9qGDRvkm1xdXR1VVVXJf+M4Br9+1i1fkH6GbCrjBzbmZWcc3YSBhduuSRvjysihC4LDpL51Y+HwC2LbunUTpF/iYbEVvj5LSPVmwAkvKFq/zU/dPJ2hC7UK2bRpkzxOGAeM4arG2DCDl4y65VMycfQTi8VtMaJbRt38nKtBvxWk7rbD4Mdd3YbRNtduuHQcLFwcQW2bKyOXLhEsNtuH856fYjSI8SPkg9keF7VMnDhRIvBzQikG04prNWA1kIAGrPNPQHnJ+lWc6Llu3Trp7HFHr9vRx8kqv5XLasBqIHwNWOcfvo6HrAUVylm1ahXt37+fskTeOEI+CP3Yx2rAasBqwKkB6/zTyB7g5BHyQW4/Qj7jxo2jmpqaNEJooVgNWA3o0oAt8kqjIi8YBTZ5t23bJjd4p0+fPiBbhlu4opsOcgXhqei9jDwIP92FNRx+Tgx+CQDJjsWtWC1e/6QLFi6OoLbNsR1u29x+ceMXQXgAsWEU1WDlyCnywnf8rpvz46cMh9M2aHXSOQskdGHhyhcWFvDFMQ7vvvuuLNhDymRtba38N94GdLcbhB+XFkdQKHvEb9QoIDU13sPVtyk6kzamE3MQHNx+NkUXBAtXh6mMJQKHr9IYvZw/QKrYsd/MxOWnFAd+fm1zeXLpdGPhthsGZqU7TMgrVqyQ/Tlp0iQaLQ5wU7oNo13dmJ2rIoXJbb+C27YpujDGiyks3LFi0sa4uuFi4fIziTlRLBFsCuLBCssvK0QNSND5FXlx+KkVHZdWJ10YWLjycfXNpVOVu7t27RJHHrTJQ9xmzBCHuMUp2uPKqJuOi0Ud5wy7BA78uD26ZdTNz6SN6cQSBAe3n03RBcHC1WGqYrFFXmlQ5KWMb8mSJTIchxW/yu13Ok5u4YpuOrU6GorCldiJQjcWLj+F2fnbbRLj8jRJx8ERtJ+59qCbjoOFq2vTmBPBYrN9XNeVqfMBwiWI7SO3H/F9nOPDOcJhKBFCRpwxZB+rAauB5NCAdf7J0Q8JSQGHv3PnTjkBIGxiMre/paVFvn0UFxfL/QZs/K9fv55wwijkLCsrk/KpcGNCwO2XrQasBgatAev8B6265PkiXlHr6+vlRi/O7EeWz1A9amMM7aG+4Dvf+Q6ddtppdMUVV8hTRPG32267TU4CcPjHHnss3Xzzzdb5D1UH2XasBlw0YJ1/GpjG3r17ZX4/NkexqvbaJNUNFw4daZmvvvoqPf7447R8+XLp/LHqx8SAN5IzzzxTTgD2sRqwGkgeDUSLvOAw/IpRFI2fcwEfDj+ogUurm043Fq58YWDG6ho58SUlJTRz5kzPWg1Ov3CxgA5ZX3D+CPece+658vhohJ7g+PFgH+KJJ56gzZs3y1DQ9ddfL4+XdntM9UsQzBwdAl+6YOHiCMO2dfcLFwu3XZOYE8USUXnhSGvyM2rEbBFXxne8zovBwOfwg+K4tLrpdGPhyqcTMwwUTv+tt96ScXaswlHdu3379ri+lSujkw6hm/Hjx7umAcMO8HPRRRfJNtXREvg3Dphbs2aNjPNXVFTIieD222+nL33pS/JvmBAgt1p0oC2kqyobwxtNvJu8dOpQKWowuvFbLJmyMd1YuDhSoV+4WLg6NIk5USwRrBbxICbrl+cPh44VXlFRkW9ogcNPDTwurU66MLBw5ePqm0OHzVT0CRwnLgpXhV1q5R07C3BlVDF6OHY44Z///Of0+uuvD2CHNi+//HK6+OKL5d9VdS7+DcPMzMykT3/60/J8ocLCQhmauuGGG+if//wnnX/++fJNRVUf4ztoS11nCBvDm4Lz80Sw+Nk2R9dB7dWkjQXpZz/dBMERhh5NYeG2awpzkH6JhyWiXsGxSsvNPXShdbylIwYiVpUYzH4nRXL4qTa4tDrpwsDClU+tiv30zaF7++23peOHcz3iiCMoLy8vXtdF/8aV0UmHW8E+9KEP0YknnjjgTgDYAOoJ3NJK4fxxvpB68GYJe8vPz5dvKfG+Byygg43hLgKvZzBYhpKfSRvTqZsgODg2m27j3hTmIP0Szx6iRV7qrB6vV1nMNOp1CAPb7QENhx++z6XVTacbC1c+nZhRzbty5Uqpa2T4+FVdc2WMpUNf462C86hL12FHCOH84he/oBNOOEGGjhYvXkzNzc1yX8Jt8eDsF6/2BoslUZvltot2TNkYV0YuHReHTttW/cSVkUvHxcLlZxJzolhstg/HoyUhDYxz9erVMtQCp19ZWem7Ya8bBmTABISVvDpDCKmmKvSEuD7COz/84Q8Jdwyg+AxZPxMmTNAtiuVnNWA1EFAD1vkHVFiykGO1j7RK/IbDRfzcLxQXtuwI5Vx55ZUDmsEbw69+9Sv5hud3eF/Y8ln+VgNWA4c0YJ1/iloDNmG3bt0qV9y4qhGrf7dNXtMQ1aSkMsBMy2PbtxqwGhCpyFYJqacBbPRg1Y/4OjZ44fyxEe+VGWMaJSYmbDrhfB+/FEnTstr2rQaGgwbsTV4peJMXVtCqPgPZNoit79ixw9ep+t3DoAxeNx34cu5sUHTO326DULeMuvmlExY1WXMmbd16DIOfTvtSvJx3UQylzSaCJdLe3i7DBViVeTFSBUWgxXeQAeIWZuDwUwri0uqkCwMLVz7g5tLG0qkjE1AchYPS8PmYMWNkjQZi/7r6ZbDyea2WODwRunLaI1JM8XYT7+HwS0TXbli47Zq0Ma6MHLogOEzqWzcWDr9U92HyMhcAxSDDvzmzOxy/X6onlx+3bd10quN0YeHKpwYIRz/xeGLVj/ROdUImLm1RfTHUWHRjhu0pLJgIkPPvdZPXYHXoNpno5OdsI1n7JUj/AY8fjkRteyj7xQ9LEN1waXXTJerDRD1Nf9gfg42TJ67Oc/E734fDTwnPpdVJh47QjYUrH1ff8ehQAbthwwapOsT6EUNXRySgfV39wsXCpeNiBj/VL3D+Xg+3bVN0Jm1MJ+YgOLj9bIouCBauDlMVi73JK4Vu8oLhIrdfhXfg/PE4L2j3cpb4vvrxesPTTadWhNy2FX0yYuHqxokB30llLEp+PxxB+5lrD7rpdNqXacyJYLHZPp7DMrk+VLn9cPaI9eOH0/nJhcJKYzVgNZAMGrDOPxl6gSlDU1MTbdmyRVLj3H6/MB2TrSWzGrAaGIYasM4/BTpdZfmoc/tVbj9ncz4F4FkRrQasBgxowDp/A0ofTJMI+cD5I+SDs3GQ228fqwGrAauBwWrAOv/Bam6IvqdW/TjKYffu3TL1ERu9ps/xGSL4thmrAauBkDQQLfLC6ZB+VWrIg8bKE9kmbsU3kBO78xx+QWi5PLl0urFw2w2KWRVwvfPOO9GrGnEmPvSrsnxMYdGNGWmqsC3gQtEh0lpR1xDv4bZtig4yJ3u/cHXDxRHUtjk+gisjl46LhcvPJOZEsUTUfasYZPi3VxxZXdkHOr8iLw4/pTgOLTpDJ51uLFz5gmJWaW64sQt9M23aNCotLR2w8jeFRTdm4INtAQ8KDr3qFrhtm6JDPyd7v3B1w8UR1LZ1jmfdWLj8TGLm9osblogqpFE3KHm9YagCIvz2K8Dh8FNtcWl10oWBhSsfcAehhePHGwAm3HhZPiaxBMHBoXVi8QttcfgF0bVufqnQLxzMQXCY1LduLBx+qezDokVeagbzK/5RdF6ThLMoxC8jhUsbJp0OLFz5nPrDd/z0g9XR0qVLo7d1jR079jBxuUU4XBl10wXBnOxYuLqJxTyUNsaVcTB0XjgG289cn6ObTkefJAvmwWCxG75+1mz4c1zOrnL71bn9hkWyzVsNWA2kgQas80/iTkR6J45zwMYOLnuH8/d7U0hiOFY0qwGrgSTSgHX+SdQZsaIg6wV339rc/iTuJCua1UCKasA6/yTuuG3btlFjY6PcHLa5/UncUVY0q4EU1IB1/knaaQj5LFu2TKa3lpeXU11dnQ35JGlfWbGsBlJRA5G2trZoURYAuMWU1Y0+ziIvlS0QC1wVSHjxU9/h0uqkCwMLVz7g9qPFSh/9gqsaoW+V4YPCp9h7ek1i8cPhtAsOrbrJy1nk5XWTF4qE/GyM0y6nT4Laayr0C0c3QXCEoUeOjNx2g2DhtsttWzedDiwRbCQCKAYc/u21oahuVsrJyfEt8uLwUwrh0HJl5NLpxsJtl4MZvBDygXNDbv/MmTPlRe1ujyksOjErJw7bQn6/KiR0O7mU27YpOuBJ9n7h6oaLg2Pbzkk0Hca9SczcfnHr5wgGGj5U1WJ+Fb4Aq2jdnBGXn1Icp20uTy6dKiDShYXbLgczQj5q1V9dXS0PcvMqeDKFRSdmZUtOLF7HjXDbNkWnxonO8WIKC9e+OLbtdP7pMO5NYub2i5vd2Ji/63ra3AfNzc20adMmKcCkSZN8q6nNSWpbthqwGkhVDVjnn2Q9h1dhdW4/QiATJ060zj/J+siKYzWQDhqwzj/JelFd1Yjf48ePt+f2J1n/WHGsBtJFA9b5J1lPbt++nRoaGgac24+Yna3sTbKOsuJYDaS4BqzzT6IOxGpfHeKGY5snT55sQz5J1D9WFKuBdNKAdf5J1JtdXV3yLB+s9OH48/Pz5YUm9rEasBqwGtCtgQg2GFUeKP7tFV5QBUb4HVts5BSMyw/f4dLqptONhSufG2Z8f82aNdTa2ko4Px1ZPnhQ4TvU/cLFwqXj9jNsz9kv4I+feA+3bVN0kNmUjenGzMXB7WeTdFwsXB2mMpYIqkYBFCtM5I1yKnxRfIQQhdfA9OOnBjSnbaVgDk8OP2d1nC4snHbdMEPvcPKLFi2Sv2tra+WRDsCLS1y88t1NYkkEczyHjoIudT0lcONNyKvCV5c96LYv8EuFfuH0XxAcYeiRIyO33SBYuO1y29ZNpwNLBKEF5cTxb6+VPwYjHBWqTf2ucQRYP35KIRxaroxcOt1YuO26Yd67dy/V19dL/c6YMYOKi4vlvzHJ+unRFJZEMcebAGBbwI1qc1zliB+3lb8JuwmCOdn7hYuFi8PkeNaNhcvPJGZuv7hhsTH/uK5laP+ocvvRmercfr8rDIdWQtua1YDVQLppwDr/JOhRlduPSQC5/RUVFVIqt7BaEog8KBHSDc+glGC/ZDWQJBqwzt9gR6gQ244dO2jXrl0DcvsNihWoaTh0Tg0CaAoLCwPxtsRWA1YD4WnAOv/wdMvijNU+zu3H6r+kpESmeHKcKYt5yESQEzH59vZ2euCBB+gvf/mLbPHCCy+kq666Sp7Micnh4Ycfpt/+9rcyg+kLX/hC9IjqkMWz7K0GrAY8NGCdv2HzQJx/5cqV0kniwhZs7qbSgwngH//4h5T/xhtvlBPB888/T8888wydeeaZ9OKLL9I///lP+vjHPy4rl7///e/TF7/4RaqpqUklmFZWq4G004B0/hjAXmmeCjXOj8ajfrtpg8svSNtcnlw63Vi47SrMqv1169bJi1uQPTV9+vQBRzdzeZrEgvTM4447jk455ZRoZk5LS4ucEI488khavnw5LViwgC677DLC0RWYIHBwHY6qjveGYwoLV9dcOuc40TVeuG3rpuP2icnxzMXMxcLlZxJzolgiGKhYtSG/GjnmXiEH5FwjTNHU1ERul2xAGVx+QWi5PLl0urFw21WYVQ7/u+++K3PZEfJBTBz9oR4uz7Cx4G3ELfsoNpaPupGNGzfKjWuEspC+CucPu0GIaMyYMXISwBsPfpwFbOAF21I2hlNNvWpJODbL1aFuOvRh2P3itvjSjYWLw+R45mLmYuHyM4k5USyRDRs2yAGGgYqZxMv5Y1Ciwc2bN3teLsLlpxTHaZvLk0unGwu3XTVg0T5W/Aj5QKc4ywe3dzn1z+UZJhbYBFbpq1atkk7b+UDWadOmyVg+UlQR8rn//vslrs997nPSue/Zs0faFxYWeFC9DHnx37AjlausVsrY+FY2hs9gG/Eerm5M0UHmMPvFa5zqxszFYXI8czFzsXD5mcScKJbIvHnz5NjCwPW6KhA0GLDvvPMOzZkzRw5ir4fDT32fS6uTLgwsXPmAG8c44BA3rIax4j/ttNOoqqrqMJVyeIaNpbGxUcbu33rrrQErcdjApZdeSrNnz6atW7fKTV0475tvvllWKONSGtw/DPkQ1sKAwsSAjWD8zJo16zC82BeATmBjlZWVWmyMo0PuGAhCF3a/6Bh/HN0EwRFEP5y2dfMLgoUrn24ZufwSxSI9OAalOuPHb+WvVjRehsflF6RtLk8unfOMDx1YuO2qtrC6VSd4jhs3TjrL2IfLM2wseCv5yle+4qomOP777rtPhnq+9KUvRenwNlBWVkZLliyRm78I6YDW63aysLG4geDqmkvnHCde52CZHANcLNw+SScsXN2YxMztFzcsNtvHc20ZzofoDKyQUzW336kVhGUeeeQRuueee+jss8+ml19+WX6MDWC8FeBvP/3pT+nDH/4wIYZ/3nnnyQvp7WM1YDVgVgPW+RvQPxwmYv34rc7tT5Xc/lh1Qe7TTz9d7gtgs1pt4GJ1j6QA7Al8+tOfpldeeUWGcTAZeJ0LZaA7bJNWA8NSA9b5G+h2hHzWrl0rW0Zuf0FBgQEpEm8SbzDYlJ07d678cXuQwoof+1gNWA0kjwas8x/ivoDDRG4/NpOwYYqK3lQ+xA0TGTZo/d5cgFttoPnRDnGX2OasBoalBv4/5ardMCmknpQAAAAASUVORK5CYII=)
Question 9.Draw the graph of each of the following linear equations.
y = -3x
Answer:For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.) Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
Question 10.Answer the following question related to above graphs.
i) Are all these equations of the form y = mx, where m is a real number?
ii) Are all these graphs passing through the origin?
iii) What can you conclude about these graphs?
Answer:(i) Yes, all these are equations of the form y = mx, where m is a real number and m = 1,2,-2,3,-3 respectively in the above equations.
(ii) Yes, all these are graphs passing through the origin, i.e., pt. A in every graph
(iii) ∴ we can conclude that every graph of type y = mx passes through origin, where m is a real number.
Question 11.Draw the graph of the equation 2x + 3y = 11. Find from the graph value of y when x = 1
Answer:For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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NoX7u74KzJ6xbQAepC6eT0BionlTdwOjEZEEWnc3J6A5WTyhs4nZgMcM4V1onJ1Xj3Fh3oW90tpAPUhdLJ6Q1UTipv4HRiMiCKTufk9AYqJ5U3cDoxGeCcK6wTk6vxHll0iXJ195F3v2VqddeH6s4zGcDk4kFA56TyBk4nJgOi6HROTm+gclJ5A6cTkwHOucI6Mbkab6roQL66O3CvXadWd32o7jyTAUwuHgR0Tipv4HRiMiCKTufk9AYqJ5U3cDoxGeCcK6wTk6vxposugdVdKjqM/LW7HNWdZzKAco8HAZmTyhs4nZgMiKLTOTm9gcpJ5Q2cTkwGOOcK68TkarxnXHTg3LNPH3tmpurOs05MLh4EdE4qb+B0YjIgik7n5PQGKieVN3A6MRngnCusE5Or8a4qurSjUWdmqu4868TknD9YoNqWyhuonFTewOnEZEAUnc7J6Q1UTipv4HRiMsA5V1gnJlfjPauiA3evurFzdae686wTk3P+YIFqWypvoHJSeQOnE5MBUXQ6J6c3UDmpvIHTickA51xhnZhcjffQJ6Ow717HjsrLzv3U4UOfqvKx9+7efPtLJ0/L5WM+vKO+ayidnN4YKieVN4bTiclgoOi6Ls+H24nJxRzXOam8MZxOTAbDOVdYJyZX4z3rFV3O3at+tGl1h8IbrO76YPbHOjG5Pu8ct5PTG6icVN7A6cRkQKzodE5Ob6ByUnkDpxOTAc65wjoxuRpvadElLjrxmKmiw8Brd1fP4ZmZYK4OUBdKJ6c3UDmpvIHTicmAKDqdk9MbqJxU3sDpxGSAc66wTkyuxntOig7cfN3V0167O3uOzswEc3WAulA6Ob2ByknlDZxOTAZE0emcnN5A5aTyBk4nJgOcc4V1YnI13nNWdGlbX8fqLiu7o9+3aXXH7I91YnLOHyxQbUvlDVROKm/gdGIyIIpO5+T0BionlTdwOjEZ4JwrrBOTq/Ge86IDQ6/dDcbZR+vOzARMzvmDBaptqbyByknlDZxOTAZE0emcnN5A5aTyBk4nJgOcc4V1YnI13paiS5Sru4/vt0fna3c5j/YB6kLp5PQGKieVN3A6MRkQRadzcnoDlZPKGzidmAxwzhXWicnVeFuLDrSru40F15bd4IQVrO76eLQPUBdKJ6c3UDmpvIHTicmAKDqdk9MbqJxU3sDpxGSAc66wTkyuxttedIl2dZedmXlU+9rd5wfXbuLRPkBdKJ2c3kDlpPIGTicmA6LodE5Ob6ByUnkDpxOTAc65wjoxuRpv2RvGy8Fs67rvXtYcvu9uk4U3GGd+7KChzKP9RsOuoXRyemOonFTeGE4nJoOBouu6PB9uJyYXc1znpPLGcDoxGQznXGGdmFyN96O2ogMp8/WThl+7O+p9ezZXnz+5umOdmJzaexyqbam8gcpJ5Q2cTkwGxIpO5+T0BionlTdwOjEZ4JwrrBOTq/HeLIoO3P3jHzUfS6/dDcbZR/8T7cTknD9YoNqWyhuonFTewOnEZEAUnc7J6Q1UTipv4HRiMsA5V1gnJlfjvdkUXeLrJ31iqOzaMzMHq7tRzNUB6oI9TqptqbyByknlDZxOTAZE0emcnN5A5aTyBk4nJgOcc4V1YnI13ptd0YGh1d3UmZn/NLi2m7k6QF2wx0m1LZU3UDmpvIHTiSWKTufk9AYqJ5U3cDoxGeCcK6wTk6vx3iyLLtGu7obOzNz02l3JXB2gLtjjpNqWyhuonFTewOG0cuXKZvHixW2BTUxMNGvXrh1c000Unc7J6Q1UTipv4HRiMsA5V1gnJlfjvVkXHbj5uqs6X7srmasD1AV7nFTbUnkDlZPKG8y10+rVq5slS5Y0y5cvb/+9dOnSdowiik7n5PQGKieVN3A6MRngnCusE5Or8d7siy5lvlG8dleu7phtOb2Balsqb6ByUnmDuXbCam7nnXduv4Jly5aNXdVF0emcnN5A5aTyBk4nJgOcc4V1YnI13vOm6MBdt/537+qO2ZbTG6xbt27wXT/33HPP4Lt+VN6AyW3YsGHwXT/Mdpj7D1THvC+DQkOxoeBArOi8Tk5voHJSeQOnE5MBzrnCOjG5Gu8tcKP5Nk467APNgXvtOjU+8u63NJ/75Ec6s4/WuOGGG9oDvN+y65sd97po2njZwZc3d9yzvi2DK6+8snMbsxm33Xbb1P6PO//W5q677urMPfjgg+31fX533HFH5+3SuPHGG5vbf7auzZfbSAPbf+SRR9qv8AHXXntt5/bU4+677273l8oOBZYKD6xYsaLzdsh1XR4jRoz5N+bVii5n2upuYvyZmU7vBB7Ydz3qqub+dQ8PLpkED/o77XNxc80tawaX9FPrfcE1d07bd1cOjqmAWJhjgG2mwgTwgA+8clTHvC8TT10O43ZyegOVk8obOJ2YDHDOFdaJydV4z9uiS3zj5MFrd4OzM/Ha3VXndZ+Z6fRO9BUdGHVdDlZj4yidUC4omXGlksoHxTsTxh0D7BeruXL/bPmWzCaTFxueli2Lr4soOp2T0xuonFTewOnEZMDm9DieYHI13vO+6ABWd4fvu/um1d3G0bW6c3onRpUZVnNY1ZVlUEPphG3mq6lEmcP1rzv0CmplmTPqGKTy7FoldhWw6pj3ZbpWdDgLE2dj9hFFp3NyegOVk8obOJ2YDNjcHscBk6vxfkwUHUDuGyf/61DZlas7p3diVNGlB/2+1VQqwvI1rzTy25VO2G9X0ZQ5FE653a6CLBl1DLDNUU/Llm6qYz4qg7cWoLww8H66Uas5EEWnc3J6A5WTyhs4nZgM2Fwfx8dR4/2YKjow+drdO4YKL63unN6JUUWXVj4zfdqwi9xpVIGWZ0Iig3LLV1hwHld2fccg3ae++wywz/x61TGfyc9lHFF0OienN1A5qbyB04nJgM35cXwUNd6PuaJLdK3ucGbmOJRO4NEoutk+JTpupQn6jkG+b5xp2QWuy4tUdcyZDPPWCRBFp3NyegOVk8obOJ2YDJgPj+Nd1Hg/ZosOlKs7vBVh3JmZSicwquiYQmHJnWZbdKmA86cXS/qOAe5LKrE1a7qfuoRX/tSm6pirMiCKTufk9AYqJ5U3cDoxGTBfHsdLarwf00WXSKs7FF1a3V113ucG1w6jdAKjig4P9L+3sRTSA35JKqzyNbQ08oLMnbqKDtn8tn1OYDZFl9/fW265ZXDpMI/mio7JgCg6nZPTG6icVN7A6cRkwHx7HE/UeD+qf2FclcEYl7vp2u81h75r48oOb0MYjDOO+OC0nMopvRZWFl3+dF5+3cMPPzx0+/vuu6/3qb8c7Af55ITtlCvFBx54oP3aRemAfabbp6JMHnjaD6u0fH9p4LapINN+L7vssqFMOia4Pu1z/fr1smOuymCg6Louz4fbick5fzcxVNtSeWOonFTeGE4nJoMxHx/HMWq8F8SKLgHv7jMzN63ulE6gLLoEHuzzp+9GcfPNNw++66d0wn4xSspcWv2lckpl1eWc03UMyoLsmyelm+qYqzIgVnQ6J6c3UDmpvIHTickA51xhnZhcjfeCKzqA1+4+Xp6ZedQ/ttcpnQAe0POnDNPIn7obR83xLp8eTHS5l0+RliWH68unWEdtZ1TRlWUIVMdclQFRdDonpzdQOam8gdOJyQDnXGGdmFyN94IsukTX6u7yL544uLYf1ok5ww+fNTmOmuPdVSiAdS85+eKfjC26ki5v+JRFymzLmQFRdDonpzdQOam8gdOJyQDnXGGdmFyN94IuOjBtdTfx5uaswequD9ap76zDnFrvkq7t1JZKWb64PVam+eqwxhvbgU9N+TozIIpO5+T0BionlTdwOjEZ4JwrrBOTq/Fe8EWXmFrdDX1mZv2ZmUB1/2ZzvFFQ6fU3UOOEldwhZ/xw8K9Jarzhkb82l6hx6kKVAVF0OienN1A5qbyB04nJAOdcYZ2YXI13FF3GXbf+sDnivcOfmdm1ulM6KbyB20nlDZxOTAZE0emcnN5A5aTyBk4nJgOcc4V1YnI13lF0BdjON0/5t6GyqzkzE6jun+p4A5WTyhs4nZgMiKLTOTm9gcpJ5Q2cTkwGOOcK68Tkaryj6ArSdu665YfTzsxMqzulk9p7HConlTdwOjEZEEWnc3J6A5WTyhs4nZgMcM4V1onJ1XhH0RWU2+la3V3+hU1nZh555JHNH77mtc0v/49fa17xqlc3H/7wh6f+oKfq/qmON1A5qbyB04nJgCg6nZPTG6icVN7A6cRkgHOusE5MrsZ7wXwyCkatNz5VpX3tbvCJKh+YeFNz2Hv3aJ793Oc3z3zJa5tFO/9Ls+1ffqrZesmhzZYv+KNmx6f/UvOlL31Jdv9UxxtD5aTyxnA6MRkMFF3X5flwOzE55+8mhmpbMce9GQznXGGdmFyNd6zoCkZtJ63u3rfHXzVbLdq22eoV+w29CTyNRX/4D81W22zXrFixYnDLfhzeOUxOlWG8gdOJyYBY0emcnN5A5aTyBk4nJgOcc4V1YnI13lF0BeO2c9ctNzQ7/+5vNFv+2h93llwaT33JW5s999xzcKt+XN4JJqfKMN7A6cRkQBSdzsnpDVROKm/gdGIywDlXWCcmV+MdRVfAbOd5z/+1ZtvX/1tnwaWx3V+d1Gy349MHt+jH6Q2YnCrDeAOnE5MBUXQ6J6c3UDmpvIHTickA51xhnZhcjXcUXQGznSf9wlOaHXY/p7Pg8vGEJz6puffeewe36sbpDZicKsN4A6cTkwFRdDonpzdQOam8gdOJyQDnXGGdmFyNdxRdAbOdHZ72jGa7XU7pLLc0dtjtK83PP+kXBrfox+kNmJwqw3gDpxOTAVF0OienN1A5qbyB04nJAOdcYZ2YXI13FF0Bs503vvH/NFu+7N2dBZfGoj84qHnxTr8yuEU/Tm/A5FQZxhs4nZgMiKLTOTm9gcpJ5Q2cTkwGOOcK68Tkaryj6AqY7ZxzzjnNUxdt22z3Vyd2ltz2bz2refKiHZv/89pXNUfu/47mqq+dObjldJzegMmpMow3cDoxGRBFp3NyegOVk8obOJ2YDHDOFdaJydV4R9EVsE5HHHFEs/UOz2gWvfqQoZLb+rWHNts947nNa1/+m1MfEI3R9xcRnN6AvX/jUHkDpxOTAVF0OienN1A5qbyB04nJAOdcYZ2YXI13vGG8GDNxOvnkk5uX/NbvNE9+6qJm22f8j+YpG1d5L3jR4uaEE05or//qCYdNvckc42Pv3aO57AvLOrc1aqi8MWZy/0YNlTeG04nJYKDoui7Ph9uJyTl/NzFU24o57s1gOOcK68TkarxjRVdQ43Tbbbc1V1xxRXtwc5C78+Yb2qcv08quXN05vUHN/etC5Q2cTkwGxIpO5+T0BionlTdwOjEZ4JwrrBOTq/GOoiuYK6dvnvLJobJD+X3va2davYHq/qm8gdOJyYAoOp2T0xuonFTewOnEZIBzrrBOTK7GO4quYC6dulZ3px/+gcG1/ai8ger+MRnGGzidmAyIotM5Ob2ByknlDZxOTAY45wrrxORqvKPoChxO3zw1W91NTK7uRp2ZqfIGqvvHZBhv4HRiMiCKTufk9AYqJ5U3cDoxGeCcK6wTk6vxjqIrcDndefMPJld3xJmZKm+gun9MhvEGTicmA6LodE5Ob6ByUnkDpxOTAc65wjoxuRrvKLoCt9P5nz1y0+pu4+ha3am8ger+MRnGGzidmAyIotM5Ob2ByknlDZxOTAY45wrrxORqvKPoCtxOyKxOq7us8PLVncobqO4fk2G8gdOJyYAoOp2T0xuonFTewOnEZIBzrrBOTK7GO4quwO2UZ5afeuxQ2bWru/POlHkD1f1jMow3cDoxGRBFp3NyegOVk8obOJ2YDHDOFdaJydV4xxvGi+F2KjM3fv/K9o3l+RvN//0f/m4o0zXm0qlrMBnmeGM4nZgMBoqu6/J8uJ2Y3HyY411D5Y2hclJ5YzidmAyGc66wTkyuxjtWdAVup75Mvro7cK9dB6u7zw2unY7DKYfJMMcbOJ2YDIgVnc7J6Q1UTipv4HRiMsA5V1gnJlfjHUVX4HYalWlfu3vfnm3RpdI768h/GFw7jMspwWTm84NAFJ3OyekNVE4qb+B0YjLAOVdYJyZX4x1FV+B2YjKnfPSgqaLD+HjH6s7txGTm84NAFJ3OyekNVE4qb+B0YjLAOVdYJyZX4x1FV+B2Yr2xujtq4+ouL7x8ded2Yr0ZnE4sUXQ6J6c3UDmpvIHTickA51xhnZhcjXcUXYHbaabey08bPjMzre7cTjP1HoXDafXq1c2SJUvaAlu8eHGzcuXKwTXdRNHpnJzeQOWk8gZOJyYDnHOFdWJyNd5RdAVupxrv1TdNX92ddviBg2tHo3Kq8e5jrp3Wrl3bTExMNMuWLWv/vXz58vbfuLyPKDqdk9MbqJxU3sDpxGSAc66wTkyuxjuKrsDtNBvvodXdRPdrdyUqp9l4l8y1E1Zv+++//8hiK4mi0zk5vYHKSeUNnE5MBjjnCuvE5Gq8o+gK3E6z9Z5a3WWfmfn5njMzgcpptt45c+2EFRyKDqu4eOrS7+T0BionlTdwOjEZ4JwrrBOTq/HeAjeKMf/HKYcf1L4NIY0Pv+vNzec++ZHO7EIZl156aTvJUXQoLnwFeAozPXV58803d94W+a7LY8SIMf9GrOgK3E5K767X7srVncpJ5Q3m2ql8TQ6ruZ133nnkqi5WdDonpzdQOam8gdOJyQDnXGGdmFyNdxRdgdtpLryXn37cUNlNvnb3+fY6lZPKG8y1Ewptl112ac+83LBhQxSd2cnpDVROKm/gdGIywDlXWCcmV+MdRVfgdpor79U3Xd+5ulM5qbzBXDulsy7TU5dLly6Nsy7HoHRyegOVk8obOJ2YDHDOFdaJydV4R9EVuJ3m2vviYnV3xHt3b64+f3J114fTG6j2NyqTv48OX/HvUUTR6Zyc3kDlpPIGTicmA5xzhXVicjXeUXQFbieH99DqbnB2puPMTMYbqPbHZFii6HROTm+gclJ5A6cTkwHOucI6Mbka7yi6AreT07td3WVvQ8Brd12rO6c3UO2PyeA1OoYoOp2T0xuonFTewOnEZIBzrrBOTK7GO4quwO3k9AY3rrjCdmYm4w1U+1NlQBSdzsnpDVROKm/gdGIywDlXWCcmV+MdRVfgdnJ6g5QrX7v7+H6bVndOb6DanyoDouh0Tk5voHJSeQOnE5MBzrnCOjG5Gu8ougK3k9Mb5Lmf3nTdnJ6ZyXgD1f5UGRBFp3NyegOVk8obOJ2YDHDOFdaJydV4b4EL0mD/3Dl21HV5PlR/Xp11YnJObwzVtlTeGF25C5YdPfna3WAcvs9uzbe/ePK0XD5U3hiq46TKYKDoui7Ph9uJycUc1zmpvDGcTkwGwzlXWCcmV+MdK7oCt5PTG/TlhlZ3ojMzGW+gOk6qDIgVnc7J6Q1UTipv4HRiMsA5V1gnJlfjHUVX4HZyeoNxuUtOP374zEy8dnfBWYNrN6HyBqrjpMqAKDqdk9MbqJxU3sDpxGSAc66wTkyuxjuKrsDt5PQGTO7Ga76zcXW311TZda3uVN5AdZxUGRBFp3NyegOVk8obOJ2YDHDOFdaJydV4R9EVuJ2c3mAmTu3qLiu7fHWn8gYzcRqFKgOi6HROTm+gclJ5A6cTkwHOucI6Mbka7yi6AreT0xvM1OmnN17XHD1tdXewzBvM1KkPVQZE0emcnN5A5aTyBk4nJgOcc4V1YnI13lF0BW4npzeodSpXd/jMzGs6XrvLYbyB6jipMiCKTufk9AYqJ5U3cDoxGeCcK6wTk6vxjqIrcDs5vcFsnNrV3fsHq7t0ZubHDx5cOx3GG6iOkyoDouh0Tk5voHJSeQOnE5MBzrnCOjG5Gu8ougK3k9MbKJwuOWP6mZldqzvGG6iOkyoDouh0Tk5voHJSeQOnE5MBzrnCOjG5Gu94w3gx3E5ObwyV0/e/vbw5cv93TBbeYJz20QOHMow3hspJlcFA0XVdng+3E5OLOa5zUnljOJ2YDIZzrrBOTK7GO1Z0BW4npzdQOaVMu7obrOzK1R3jDdROo2AyIFZ0OienN1A5qbyB04nJAOdcYZ2YXI13FF2B28npDVROeeanN67c9NrdYOC1O8YbzIVTH0wGRNHpnJzeQOWk8gZOJyYDnHOFdWJyNd5RdAVuJ6c3UDl1ZS4549+Hyu7Qd725uebCswfX9jOXTiVMBkTR6Zyc3kDlpPIGTicmA5xzhXVicjXeUXQFbienN1A59WV++qNNq7sD99q1/fq5EWdmgrl2ymEyIIpO5+T0BionlTdwOjEZ4JwrrBOTq/GOoitwOzm9gcppXAaru1R0GB/b7x3Nip7VncsJMBkQRadzcnoDlZPKGzidmAxwzhXWicnVeEfRFbidnN5A5cRkzjnzpGmv3XWt7pxOTAZE0emcnN5A5aTyBk4nJgOcc4V1YnI13lF0BW4npzdQOc3Eu3ztrlzdOZ2YDIii0zk5vYHKSeUNnE5MBjjnCuvE5Gq8o+gK3E5Ob6Bymql3/tpdGml153RiMiCKTufk9AYqJ5U3cDoxGeCcK6wTk6vxjjeMF8Pt5PTGUDnVel944ieG3mR+xL67Nxef9ZlpuXI4vTFQdF2X58PtxORijuucVN4YTicmg+GcK6wTk6vxjhVdgdvJ6Q1UTrPxnra621h4m9OZmSBWdDonpzdQOam8gdOJyQDnXGGdmFyNdxRdgdvJ6Q1UTgrvS9Nrd1jdbfy6uZyZCaLodE5Ob6ByUnkDpxOTAc65wjoxuRrvKLoCt5PTG6icVN5Y3R2Fz8xMq7uN43MfP2hw7Sac3mBzLLq1a9cOvusn5rjOSeUNnE5MBjjnCuvE5Gq8o+gK3E5Ob6ByUnkDbOvSM08YKruP7bfHxtXdfw4SXm/AFB2D0olh5cqVg+/6Yfa3Zs2awXejeeSRRwbf9bNhw4bBd/0shDk+DmcGOB8PWScmV+MdRVfgdnJ6A5WTyhukbWF1d8y0MzMnV3dObzCu6O5f93Cz61FXNTvudVFzwTV3Di6djtLpuPNvbfZbdv3gX01zxz3rm5cdfHnrgIHrmFIp94fbpW3stM/FzTW3rBlbYOW+cSxwTLquKwfuB8jvz7XXXtt+HQV7nFTHnMnMdI6PwpkBC+lxPIquwO3k9AYqJ5U3KLfVtbr7r6+cOri2H5U3GFd0KIPXHXpF+wCfP8iXqJzS/lAiIJVJKo3y36PI94c8bpe2i3+nsusj7SuVVCr9UccBIJ/vK90O/1F44IEH2stGwf7sVMecydTO8S6cGbCQHsej6ArcTk5voHJSeYOubd1Rru7aMzOnv3aXo/IG44oOD9p4kP7Cd+4YWQzM/h566KHBd92kQshLrCwogMIoL+siOaXCyrfbta8SXFeWGu7/723cVt9xgBtWc+XqF/8ut9UH+7NTzQMmM5s5XuLMgIX0OB5FV+B2cnoDlZPKG4za1tTqburMzD2aFRdteu0uR+UNRhVdXhBdZZHD7m8UXSWCok0rqkRyKcukZJTTuPvDFGFJuk3pC1hnwB5L1TxgMoo5nnBmwEJ6HI83jBfD7eT0xlA5qbwxxm3rR1d/u/n4xoJry24wTj3sgGk5lTcGiq7rcrwGhgflfBWXVnd4QF+3bt1QHvt7+OGH2yxuU75elUYqjvy26YQQXJe2j9fOyrJBFl55SeHf+bbyAad77rmn83U43BbbwLZAfrsHH3xwqJhwv5N/8stvk/ZRHi88TYnr00o2L23c53T7crA/O9U8YDKqOY7hzGAspMfxWNEVuJ2c3kDlpPIG7P4uPbP8zMzh1Z3KG4xa0eXFBvBAjgf7rlUJu78+UqmlIgBl0SXGrcYSXU7pPuSl20Ve2On+Jp/8mCRGXZfA/kZdn2CPpWoeMBn1HB+HKgMW0uN4FF2B28npDVROKm8wk/3d8aNrp52Zeab4zEzQV3TpgT4vtfRgnpdRgt1fH13llfanLLrEqPsC0v0v99F1XEDf5Tm4Ll9F9sEeS9U8YDJzMcdHocqAhfQ4HkVX4HZyegOVk8ob1Oxv6lNVBmPyzMzTBtf2w+wL9BUdHuDTyqccXQ/W7P76cBcdQPGgnFBSJWVx4elM0Ldv/HtciY3aXw57LJmcKjOXc7wLVQYspMfxKLoCt5PTG6icVN6gdn/t6u6A4TMz0+quD2ZfoKvoRq12+lYuaX/p+q6CxOgrp74CgUPpkbKlQ8m4YzCqeMp93Hvvve3XUZ44Zjh2fWBb48oQsD87JqfKzPUcL1FlwEJ6HI+iK3A7Ob2ByknlDWa7v+mfmblH8/2vf2Fw7TDMG6pBV9H1lRlIJVg+qDP3bRR95dq1UpppYfTdn3GrsLxkcaIN6NpWcu8r8QSuH1eGgD2Ws51PCSbjmuMJVQYspMfxKLoCt5PTG6icVN5AsT+s7o56356bVncbx5kfm766W716dbNkyZJm+fLlg0u66So6PLjnBVA64QG7XAkx9w1nao6iqwjgAJdUOOnf40oF5E7lfUqFNWo7Zamlffc5dv3HICcvzlEwxxIwOVXGOceBKgMW0uN4FF2B28npDVROKm+gdOp67S5f3S1durQtsZkWXVksoHTqKgnFfcN2u96MnZzS059lWfTdrtwfbpc/jdq1wusrsb59g3Q8RhUdW4aAOZZAccwBk3k05vg4mAxYSI/jUXQFbienN1A5qbyB2umO//5+c8wBfz1UeFjdodwmJiaqV3Qlau8+2KcAwfr1w083nnzxT8YWXRfpKUkFoz43EwXHPG0JGG/g+rmAR2uOj4LJgIX0OB5FV+B2cnoDlZPKG8yV0yXZ6u4DeP1utz9r/vOEj8+7ogMoq/yzLvu4+OKLB99NFiRWWuVtVE6Aec2z788LpQJH2Y37EGnAOqnuH5N5tOd4F0wGLKTH8S1woxgxHqvj1mu/267uDthzl3ag8A54085t0eFTOLpug4Gi67r80Rj33Xdf+8uKFR2KC+XSlcsHftFRjoec8cO2RPDXAbpyj8b45je/2d6HdH8Azt7sysaIoRixoitwOzm9gcpJ5Q3m2gl/o+3//t2b2rMyUXT77faXzaHvekvz/a9/cZCYzua2omOZr3P86quvHnzXj9uJyWwuczyHyQDnXGGdmFyNdxRdgdvJ6Q1UTipvMNdOy5Yta4vrOTtu1bznL/+g2edtf96OA/fadejMzPPOO6/Zfffdm+e/4Nebxz3xKc3b3/725txzzx1cO5259i5hniaMOa5zUnkDpxOTAc65wjoxuRrvKLoCt5PTG6icVN7A6YS3F+z9xle3JZdev8OZmW974+ub7X/xOc2WL3t3s+2fH99s+xfHN1u+fO9mh2c8t/m7v3vX4NbDOL0Bk4s5rnNSeQOnE5MBzrnCOjG5Gu8ougK3k9MbqJxU3sDplN5Hd97nT24+MTgz85W//evNVs/89WaHPc4dOs2+He84r3nar76iOeig6e/Jc3oDJhdzXOek8gZOJyYDnHOFdWJyNd5RdAVuJ6c3UDmpvIHTqeTL//Gx9mnN7XY9dXrJDcb2bz6zefwTntj+6Y8ctzeTizmuc1J5A6cTkwHOucI6Mbka7yi6AreT0xuonFTewOmEv4WW85nPfKbZ4QV/2Flw+djhxa9tTjjhhMGtJnF6AyYXc1znpPIGTicmA5xzhXVicjXeUXQFbienN1A5qbyB06nM/PM//3Oz9Uvf1llu+djqpXs0Bx988OBWkzi9AZOLOa5zUnkDpxOTAc65wjoxuRrvKLoCt5PTG6icVN7A6VRmjjnmmGbHl/x5Z7nlY4fffGNzxBFHDG41idMbMLmY4zonlTdwOjEZ4JwrrBOTq/HeAhekwf65c+yo6/J8MNtSZTCYnNMbQ7UtlTeGyknljeF0KjPf+MY3mm2f9szOcsvHlts8rfnMUR8auq3TG4PJxRzXOam8MZxOTAbDOVdYJyZX4x0rugK3k9MbqJxU3sDp1JX509f/RbPtb7+9s+AwtvqttzfPe86z2zM0z/zYBwe38noDJhdzXOek8gZOJyYDnHOFdWJyNd5RdAVuJ6c3UDmpvIHTqStzxx13NDu98DeaHV7yhma7XU6ZKrjtdz2t2f4339g881nPbvZ+219Mve/uiPfu0Vz7jS9ZvQGTizmuc1J5A6cTkwHOucI6Mbka7yi6AreT0xuonFTewOnUl8HfhNt3332brbbettl6x2c2P/ekRc2Wi7Zp3vOe9zT3339/c8cPVzSfOHD4LyKc8pH3D27dj8obMLmY4zonlTdwOjEZ4JwrrBOTq/GOoitwOzm9gcpJ5Q2cTkzm+uuv7/2sy0vOOH5T2U1sWt31oXICTC7muM5J5Q2cTkwGOOcK68Tkaryj6ArcTk5voHJSeQOnE5MBoz7U+fa0usOf/hmUXv7aXY7SicnFHNc5qbyB04nJAOdcYZ2YXI13FF2B28npDVROKm/gdGIygPnrBRcsO2bT6m7j6FrdKZ2Y3GN5juPPKjGonFTewOnEZIBzrrBOTK7GO4quwO3k9AYqJ5U3cDoxGcAUHbaF1d2/Fq/dzcWZmYDNjcPtxGT6/jhrDSonJjOf5/hCehyPoitwOzm9gcpJ5Q2cTkwGsEWXuOT07LW7jWNydfflocxPfvKT5uyzz25OPPHE5rLLLhtcyjulMsAfK83f/lAO/EHTUczmOOV/LBWkXP7XwkuY/eX3aad9Lm7/aGxi1La7mM39y2Ey83mOL6TH8XjDeDHcTk5vDJWTyhvD6cRkMFB0XZfno9zWf3/vsubo9+05+drdYJz4of3a3Fvf+tbm55/05OZpO7282fFFr2l2fNZOzXOe9/z2szZZp/TUHUoBD/wogFHgL5N3bafmOOGvlKN8XnfoFc0d96xv/zYezkZ98MEH232lokIZ4br8tn37w+0ByvNlB1/ebjf9O5Vd+ht8+b4feuihzu2lUXP/ugaTmc9zfCE9jseKrsDt5PQGKieVN3A6MRkw0xVdTr66e/+euzRPf/ovNdu95I3NDrufM7Vqwdj6tR9uttru6c2RRx45uOVo8BYIwBZdHyiKcZT3La2qytUiigclle7TTFd06fb5dvv2hftdXtaFah4wmfk8xxfS43gUXYHbyekNVE4qb+B0YjJgNkUHJl+7m2he+sLnN4te+CdDBZePbf/8uObnHv/45uabbx7csh+m6O66667Bd7OjvG9YUf3exkLKn1JMJQWXy2+4p12F1T51mdNVfgDbzld+fajmAZOZz3N8IT2OR9EVuJ2c3kDlpPIGTicmA2ZbdACvqf3cz/1cs/1bz+4suTSe/MI3NP/yL/8yuFU/s13RoaRQRl0OGHmxlPcN143aZ9q2ouiwr65CSwXYtY8c1TxgMvN5ji+kx/EougK3k9MbqJxU3sDpxGSAouguvnhjqTznRZ2lko9Fr/nn5jX/+48Ht+onL7qu7WCUJ3LUkt+39FQi9tvHbIsOr8Xhtul+dD1F2feUZolqHjCZ+TzHF9LjeBRdgdvJ6Q1UTipv4HRiMkBRdOeff36z4/N+a6iIusbW//uw5uX/89WDW/Wjeo2OIb9vfU8lgnRCyWyL7uGHN92XUcWKy0YVLlDNAyYzn+f4Qnocj6IrcDs5vYHKSeUNnE5MBiiK7tZbb22estXWneWWj6f+9l7tZ2qOY3MsupSbbdGtWrVq8N0k2E7X6pS578z+VJn5PMcX0uN4FF2B28npDVROKm/gdGIyQFF04H/+wf9qtnz5Pp0F1453nNc8edH2zd/v8kfNtcu/PLhVN0zRjTqpJZVRp8fGkRdZft8cRVcyquhiRTcaJgMW0uN4FF2B28npDVROKm/gdGIyQFV0OAaPf8ITm0WvPmRaseyw+1ebrZ/7u81LX7jT1NsRzjii+zMzAVN0KTNb8vs26qnElBtVdKPoux1KtTwhJXl0FW6Oah6wP18GpxOTAc7HQ9aJydV4xxvGi+F2cnpjqJxU3hhOJyaDgaLrujwf7P7OOuus5hnPfE7zzBf/QbPly/ZutnrVB5qtXvKmZqttd2ze+c53Nud86oihN5l/dJ/dmivP/dy0bc3kDeN4gzfO+sxvjzeQowixHXwtR55P9+2BBx5ot4dySftcv379UA4nkuSFld4wnt7sncDrcOl2GPmbzfNSS9tKhQY33DatLLEP3L98W/lgfy5dl+eDycznOb6QHsdjRVfgdnJ6A5WTyhs4nZgMUK3o8synP/3pZuJv/qZ5w1+9qTnkkEOaK6+8sr0cmdtvuKZ9311a2XWt7vCAD1AM5eowH+NKsOY4oXzK99GBlOtbmfXdrqS8T10rQ1xWrvK6qLl/XTCZ+TzHF9LjeBRdgdvJ6Q1UTipv4HRiMmAuiq6PPHPx6ccNlR0+M3Pl8q+01917773t19lS4933tCGzrZMv/snYomNAGY572hLU3L8umMx8nuML6XE8iq7A7eT0BionlTdwOjEZ8GgVHehb3THbYj4ZpdYbZZU+bzIxblsoSBTUuFXYnXeOfm2va9991N6/EiYzn+f4Qnocj6IrcDs5vYHKSeUNnE5MBjyaRZcoV3d47S6t7vqY6zmOFRWKKzFuWyioQ8744eBf/YzyTqvJrqczu5jN/cthMvN5js/1XMlhnZhcjXcUXYHbyekNVE4qb+B0YjJgcyg60K7uPjBY3eFklcHqro/NcY7nbwbvg50rDKr7x2Tm8xx3zhXWicnVeEfRFbidnN5A5aTyBk4nJgM2l6JLtKu7QdFh5K/d5TyW5zhTmEDlpPIGTicmA5xzhXVicjXeUXQFbienN1A5qbyB04nJgM2t6MAN3/3WptXdYJSru5jjOieVN3A6MRngnCusE5Or8Y6iK3A7Ob2ByknlDZxOTAZsjkWXcsvLMzP33bS6izmuc1J5A6cTkwHOucI6Mbka7yi6AreT0xuonFTewOnEZMDmXHTg9h9c3fzbtNXdB2KOb0TlpPIGTicmA5xzhXVicjXe8ckoxXA7Ob0xVE4qbwynE5PBQNF1XZ4Pt1NX7oLPHj30qSof+vs3N1eeN/1TVfIx107lYDIxx70ZDOfjIevE5Gq8Y0VX4HZyegOVk8obOJ2YDNjcV3Q5+eruwL12nVrd9eFwymEyMce9GeB8PGSdmFyNdxRdgdvJ6Q1UTipv4HRiMmA+FV0Cr92losM4fN/dm+su/urg2k04nQCTiTnuzQDn4yHrxORqvKPoCtxOTm+gclJ5A6cTkwHzsejAV07/TOdrdzluJyYTc9ybAc7HQ9aJydV4R9EVuJ2c3kDlpPIGTieW+Vp06ZgvP234zMzJ1d057XVup5l4j8LtpPIGTicmA1THXOnE5Gq8o+gK3E5Ob6ByUnkDh9PSpUvb8sJYsmRJs3r16sE13cz3ogO3ta/d/c1Q4WF153aaqXcfbieVN3A6MRmgOuZKJyZX4x1FV+B2cnoDlZPKG8y10/Lly9uiS+D7/N9dPBaKLrH8tGOHyg6fmZlWd30onWq9S9xOKm/gdGIyQHXMlU5MrsY7iq7A7eT0BionlTdwOgEU37hV3WOp6MBtP7hq0+pu6jMzZ3dmJlDdv5jj3gxQHXOlE5Or8Y6iK3A7Ob2ByknlDZxOYNmyZc3ExET7F7X7eKwVXaJd3WWfmZm/dpejdFJ4A7eTyhs4nZgMUB1zpROTq/HeAjeKEeOxPG688cbmnnvuaR555JFm5cqVzc4779x+BStWrOi8DYqu6/LHwvjKaZ9pDn/P29q3IqRx3EHv7MzGiPFYGLGiK3A7Ob2ByknlDVxOKLfFixe3T12O47G6ogNpO+Vrd+3q7hL+zEygun8xx70ZoDrmSicmV+MdRVfgdnJ6A5WTyhs4nFBuKLm0khvHQig6MPTa3WCcfjh3ZiZQ3b+Y494MUB1zpROTq/GOoitwOzm9gcpJ5Q3m2ql8upJhoRRdolzdHbbPbs31g9XdKFT3L+a4NwNUx1zpxORqvKPoCtxOTm+gclJ5g7l2wsknKK58LLSzLnP6ttN1ZiZWd6NQ3b+Y494MUB1zpROTq/GOoitwOzm9gcpJ5Q2cTiwLsegSXWdmXn/JuYNrh1Hdv5jj3gxQHXOlE5Or8Y6iK3A7Ob2ByknlDZxODz300OC70SzkogM3XHlp52t3Jar7F3PcmwGqY650YnI13lF0BW4npzdQOam8gdOJyYCFXnQps/zU6Wdm5qs71f2LOe7NAPVcGQXrxORqvKPoCtxOTm+gclJ5A6cTkwFRdJsyP7n+quaT01Z3B7bXqe5fzHFvBszFXOmDdWJyNd7xF8aL4XZyemOonFTeGE4nJoOBouu6PB9uJyY3l3P8/M8eNfna3WDgzMzLvnzqtFw5nN4YtfevHCpvDKcTk8GYy7lSDtaJydV4x4quwO3k9AYqJ5U3cDoxGRAruu7MtNXdxsJLq7s+nN5gNvcvR+UNnE5MBsz1XMlhnZhcjXcUXYHbyekNVE4qb+B0YjIgim50Zuq1u8HZme1rd5fWn5kZc9ybAa65AlgnJlfjHUVX4HZyegOVk8obOJ2YDIiiG5/B6u4TB/71ptXdxtG1unN6A9X9U3kDpxOTAc65wjoxuRrvKLoCt5PTG6icVN7A6cRkQBQd77T81E8Old1Hi9Wd0xuo7p/KGzidmAxwzhXWicnVeEfRFbidnN5A5aTyBk4nJgOi6Gbm9JPrv9d88oP1Z2bGHPdmgHOusE5MrsY7iq7A7eT0BionlTdwOjEZEEVX59S1uvve+WcPru1HOccffvjhwXf9qI4BO8cZ2Ps3DnY7zrnCOjG5Gu8ougK3k9MbqJxU3sDpxGRAFF2907TVHXFmpnKO33HP+uZlB1/e7LjXRVPjuPNvHVw7ieoY5N77Lbt+2n4SuG7Xo65q7l/XX8Lj9nfNLWua1x16RXv/Evgel+G6BHucnHOFdWJyNd5RdAVuJ6c3UDmpvIHTicmAKLrZO30zre4GZ2ZOvnb3tcG1m1i3bl1z0kkntX8cdxSME4oGxXbBNXcOLtlUfHnRqI7B1Vdf3X7F/vqKDNfBaTZFl+4DRl50oNw34w0W0uN4vGG8GG4npzeGyknljeF0YjIYKLquy/PhdmJym9sc/8EVlzTHvH/PybIbjJMP3b+97qtf/Wrz6tcsaY/1U7b5f5on/PyTmt/87d9tPvvZz07bDsaofeGvx2NVs9M+Fw+VXCJdhyJEttzWAw880H4Oaj5QwOn79evXD+XzkUoo7XfNmjVtaW/YsGHqurzo7r///s7tdDmBVJQYqejghAz2gW1i28jh3+zPbiE9jseKrsDt5PQGKieVN3A6MRkQKzqdEzJTq7vB2GXJK5qff9KTm61esV+zwx5fm3ogX/Sapc12v/jLzSGHHDK49SbG7WvU04O47PIbNq0Y77vvvsF3swOliYLpWmkBOKVRs6JLJYeCxujbD65L208FOY6F9DgeRVfgdnJ6A5WTyhs4nZgMiKLTOaXM5Gt372wm/uqPm8c97nHNtq//t6mCy8f2b/l8s93Tn9OcddZZ7e0So/aVVjV4wGcot5VWfF0+GKO2m4qsBCWFbWLbtUWXM6rosI/f23gdvmK1x7CQHsej6ArcTk5voHJSeQOnE5MBUXQ6pzLzFzu/qnnqb+3RWShpLPpf/9j8/iv/YHCLSUbtKz1FiDLAKmsc7P0bR77fnLJ457rokkd6+pJhIT2OR9EVuJ2c3kDlpPIGTicmA6LodE5l5jm/8qvNtm/4j86Cmxp7XtD+DPDaWGLUvh6toksrQRRMDjzyYpvrosuLlbn/YCE9jkfRFbidnN5A5aTyBk4nJgOi6HROZWbRtjs027/17O6Cy8ZTttq2WbVq1eBWo/dVrqDGwd6/cXQVXf40YsJVdF1PofaxkB7Ho+gK3E5Ob6ByUnkDpxOTAVF0Oqcy8+LfeGmzzZ8c3VluaWz/tv9sfuEpTx3cYpJx+xpXJvn15QkbqbC6XDD6CrSr6JDt2gZGes2ui3H3jyk6ZGJFN307UXQFbienN1A5qbyB04nJgCg6nVOZwRmVW7/4zzqLII0tf/dvm9/41ec1P/jWeYNbjd9XV+kk0nWpsFRnXeZPmY5irld0yQP3PYpu+nai6ArcTk5voHJSeQOnE5MBUXQ6pzKD95E941m/3Gz1yvd1ltzWr/tos8XjHtfs9cY/at+KcPpH+c/MRBlgG3nZpRLIi4bZFt5Hx4ASG/eU4VwXHYo8PV3KfAQaWEiP4/GG8WK4nZzeGConlTeG04nJYKDoui7Ph9uJyc2XOX7hhRe2ZbfohX+0sdgOb7bf9bRmmz/9RPOUX9+l+YUnP6X5p3e/Y+hN5oe95+3N5V85fdp20kB5ppVMWr3l5ZlWXMggqzgGa9eubbeJUk0F9OCDDw5l0sk0edGlAoVTugxvCRi1v5RP+0lvGE9Pwebb6ntDejkW0uN4rOgK3E5Ob6ByUnkDpxOTAbGi0zn1ZVACH/rQh5rf/t2XN9vs8PTmRYt/qznggAOaW265pb1+1XXfa4496J2b3mi+sfDS6m62qI4BCid/2nAmoJSO+NJNU6s89piX4PYoubR/FB3DQnocj6IrcDs5vYHKSeUNnE5MBkTR6Zxm6/3NU/5tqujwFZ+Z+YPLNr12V8I85ajyvv3229uvKJlRT012vYkbK89Dzvjh4F/c/rq2U+6b2Q5wzhXWicnVeEfRFbidnN5A5aTyBk4nJgOi6HROCu9V1323+dcDJzat7jaOvtWdyonJfOtb3xp8N/n0ZHqKtKRrW8jmq8AaJ6wm468XTKfcThRdgdvJ6Q1UTipv4HRiMiCKTuek9J5a3Q1G1+pO5aTyBk4nJgOcc4V1YnI13lF0BW4npzdQOam8gdOJyYAoOp2T2huru6HX7jaO07LVncpJ5Q2cTkwGOOcK68Tkaryj6ArcTk5voHJSeQOnE5MBUXQ6p7ny7l7dnS9zUnkDpxOTAc65wjoxuRrvKLoCt5PTG6icVN7A6cRkQBSdzmkuvVetvHLa6u6kQ/cbXNuP0xuo9qfKAOdcYZ2YXI13FF2B28npDVROKm/gdGIyIIpO5+TwHlrdTWxa3fXh9Aaq/akywDlXWCcmV+MdRVfgdnJ6A5WTyhs4nZgMiKLTObm8p1Z3g7chYOSv3eU4vYFqf6oMcM4V1onJ1XjHJ6MUw+3k9MZQOam8MZxOTAYDRdd1eT7cTkwu5vjPmq/8+2GTZTcYH3nP25urLvzCUMbpjaHanyqD4ZwrrBOTq/GOFV2B28npDVROKm/gdGIyIFZ0OienN0AOq7vjDvrbTU9nFqs7pzdQ7U+VAc65wjoxuRrvKLoCt5PTG6icVN7A6cRkQBSdzsnpDfJc15mZN1x2gdUbqPanygDnXGGdmFyNdxRdgdvJ6Q1UTipv4HRiMiCKTufk9AZlrmt1N+rMzPRZkSpvoDpOqgxwzhXWicnVeEfRFbidnN5A5aTyBk4nJgOi6HROTm/Ql5t2ZuY+k6s7cOqppzYvf8Wrmic+8UnN4x//hOYZz3pOs/feezf33ntve30f83mOO+cK68Tkaryj6ArcTk5voHJSeQOnE5MBUXQ6J6c3GJWbWt1lZ2a+9hW/0zzt2S9oFr16abPDHue2f9Zn27/8VLPN4jc0v/Ts5zbXXHPN4NbTmc9z3DlXWCcmV+MdRVfgdnJ6A5WTyhs4nZgMiKLTOTm9AZM779Mfb0tuye+/tNnqF3dqdnzHeUN/vy6NLV++d/Nrv/6Swa2mM5/nuHOusE5MrsY7iq7A7eT0BionlTdwOjEZEEWnc3J6A9YJq7tFi7Zutn39JztLLo1nvfiVzac//enBLYeZz3PcOVdYJyZX4x1FV+B2cnoDlZPKGzidmAyIotM5Ob0B6/Sd73yn2fFZz+8st3xs9cr9mze/5W2DWw4zn+e4c66wTkyuxnvj7/MW7S91jBgxYiy08YSnvaCz3PKx9es+2jzu57fsvH2MeTIGhdfCtu5C+p9AF0onpzdQOam8gdOJyQD8cozD7cTkYo7zTt/97nebHX7peZ3llo+tfn/fZrfddh/ccpj5PMedc4V1YnI13lF0BW4npzdQOam8gdOJyYAoOp2T0xvMxOmZ/+8vN9v8ydGdBZfG1r/0a83eb/6zNl8yn+e4c66wTkyuxjuKrsDt5PQGKieVN3A6MRkQRadzcnqDmTgdf/zxzQ7PfmGzw9u+0FlyT/2dieYXf/EZ7Rmah+2zW3PD5Re2t0vM5znunCusE5Or8Y6iK3A7Ob2ByknlDZxOTAZE0emcnN5gpk4HHXRQs93Tn91s9cr3N9u/+XPNDruf02zzp8c0273odc1zf2Wn5v9711um3nOHcephBwxuOb/nuHOusE5MrsY7iq7A7eT0BionlTdwOjEZEEWnc3J6gxqnr3zlK82f/Onrm22227F50i88pXnBixY3Bx988ODapvnGyf86VHZpdTef57hzrrBOTK7GO4quwO3k9AYqJ5U3cDqxzNeie+SRRwbf9eN2YjI33HDD4Lt+3E5l5scrr2iOO3j4MzNP+fD7BteOZq6cumAywDlXWCcmt2LFisF3/ZTbmXXRLV++vH1QwFi6dOngUt2dZ52YXO69cuXKZvHixa33kiVLmtWrV7eXu51m6p2A/84779x+BW6nmXivXbu2mZiYmJon+B6XJRxO+Pni59y1/y6QG4fDO2dcDr9/6Rjnc7rE6QSYzEMPPTT1M8JjShdup75MWt19YOLNzX67/WWz7y5Lmr941Uunfhe7mGunHCaTP/6N+n1wOoFRuWXLlrVzHHMlkd+PUf0zq6LLH2zTgxlkgOrOs05MLnmXv1DpAII1a9a0X0ehdJqJdyIda/yA0y+X22km3ji+aV6U8wTMtVO5T/ys81+KLuZb0WEu5/dp1H10OSXYbcEXx31zLzrw39+7tPmnd7y+OWDPXdrSO3CvXZtDNv57cyiMcZny8c8xV5gM6Mvhd7css/x+jOuf6r8wjmUvdpD/zzE/YKtWreq8bT4ejb9MC8oHhRzcl67b5kPpxHrja/qfDH6Y+++//9R/Mh544AG7E5PB+5S6gD8mJSbnunXr5tQJ8xQ/01122WXqPwX5vH3wwQen3QYDv1Rdl+djLr27Rl+u6ymo/D5i3uR5h1M+RmXw80++mBPpgavr5+JySqMvs2HDhnYu4Xfwgs8eNfRUJl67u+7Sr027zVw75WNU5uGHH27d82eDyt/HPO/0xshz6T8NeKyG37HHHtt+n+Y7/PF7nfonvx9333330HZntaLDDthG7UKVAUwu/8EeccQRrTse0NIDAnA7MZl0vEH64eKYz5enLkvy/xCBuXbKfyHSg1R+7LqYbyu6xPr169uv+S99idtpXAY/lzSn0+NJF04nMCoDRxQdjvFOT9+med+uOzcf+Os3TRVefmYmcDglxmXKx+ry9zHH6Q1G5eCbFx1+BvkcT/MH8yn9HiSqii4nlV35lMPmdIBKcMDyp/3yH/R9993Xfh2F0mkm3gCeOM7lg7XbaabeiXwyJubaKd9n1/9ou5ivRYcHgXH3z+00LoPfR4z0WJI/juQ4ncCoDBzzxzz4/+Oebxj68z9Y3f3w25Pvu3M4JZhMKjvcB7j34XQCo3LwzAsZ/5YUXV5i5UgPuPmDVl4Y6SmJUczVARrnXR6w/H6ovMFM7x9zvJN3+WDGFDSYqVMfM/FOwD//D0ZiLpxysL+0onusFx3uE44xjnUfbqdRGfhiZYQHqzSP+txdTolRGTjmD7JpTn3r3LOb44szM7G6czglxmXK+V8WRo7TG4zKpcdt+4oOOy0fyPp21IXrAJXM5AB1oXSaiTeOdVkkqTgYb6Bymok3wCRNx7hkrp2wTxQdjhN+SfKfdx/zsehwv7r+I1HidAKjMpgX5ZzGwH0pcTklRmVwjNN/ntK/8/Io33f34b3f3vzwv7qfyk84vEFZbKV7jsspMSpXFl35M8jvF85byKkqOrxQDMoHDEj07agL1wFKpNVa/sAHVzinwk4//FEonZhMfjptopycj+aKro++eVIy107pZ4xfBICfdfp594EH23HMtXfJqFw5H0bhckqw28L8wDzpKjngdhqVSXMqueaPfYkff/+Kjau7v5ssu8FTmqce9v7BtdNxeINyruD34tH6T2jJqFxZdPl8KX/H77333vZroqro8pMMsOH0v7D8YG1OByhRntSB//3CO5+gbqeZeifKyep2YjI48xZgcqY5ksZcHPNRmfRLUe67D+TG4fDOGZXLfw/TmOsHL6DcVv7A1YXbaVwmn1N9xxq0q7vytbuO1Z3LG+AYp3ky6lkApxMYlSuLDuSP4/l/XsvtzLro+lDdedaJyTm9gWpbKm+gcmIyV1111eC70TidWPCLMw63t+r+uZ2YzHz4ZJTZcP23v7lpdTcY5epuc/R2OzG5vv9Q5JTbiaIrcDs5vYHKSeUNnE54ewHDfC26u+66a/BdP24nJqOc4wwqb+Z4gzTv1t2/prn7zp82F37581Oru/8erO5UTpvjcWKdmFzNXKl+w3jX5fl4NN9o2Dec3hiqbam8MVROKm8MpxOTwUDRdV2eD7cTk1vIczydF7Dfsus7/+TOyw6+vLnjnvXta95q7/RU+HHn39ruPz291uWy61FXNWvWPtic959nTD6luXGc+KH92v3hdthGeZvkjv2UDuXAigfbQR63S9uAC8A20n7SZffff3/ntlTHiclgzOSYjxrldmJFV+B2cnoDlZPKGzidmAyYryu6mOOT5YIyuX/dw4NLJsHlqTBUJ8vl3tfcsqZ53aFXtNsH2D88UChd3LXqpqGnMs89/TPt5fBMBVTCPCOBt9Ckkkv7Lv8Nkt8F19w5uGQ6qp8v+7Ob6THvo9xOFF2B28npDVROKm/gdGIyIIpO5+T0Bn1FhyL6vY0P9viKMhhH19nOJcm7q9RSuYwqkh9//zvN8f8w+drdf1180dhyZN7nC3D7VOoJeHRd1nWsEqqfL/uzm6u5EkVX4HZyegOVk8obOJ2YDIii0zk5vQFTdOxrteNI3vm2E/g+X+GN4hsnf6L50fXXtlncJt9OzkyOQbkqLIsXb/8pLytR/XxZbyZXM1ei6ArcTk5voHJSeQOnE5MBUXQ6J6c36Cs6XJ5WSl0rOpTLTvtcPPTaWD66VllXXnll+xXXlfvEZeU2Rq2eHlz3QFs45W3yVdg999zTfh0Fto/9lL6p1NLld945WW5dpZhQ/XzZn91czZUougK3k9MbqJxU3sDpxGRAFJ3OyekN8KBdlkUa6QGd/SShcdx6661TxVKWBf6N4kyrs5QbVXapHPMVFraTyi59CMMo2KL70Y9+1H7Fv/ucVD9f9mc3V3Mliq7A7eT0BionlTdwOjEZEEWnc3J6AxRD1wN3XiKqpy5/+tOfTiuQUaRVY9dThfkboXNmsn3AFt13vvOd9itcUpGWqH6+7M9uruZKFF2B28npDVROKm/gdGIyIIpO5+T0Bn1FlwqgXHnNBvzdM6aI0gpyVLbrRJP77v7pNO/VN/2g/doHW3TpmKPo8pVnjurny/7s5mquRNEVuJ2c3kDlpPIGTicmA6LodE5Ob1BbdDWv0eF1LqbokvuobN8qs/T+6udOHvmZmQDZ8n6mfafVZHp9MVZ0PTh/mVgnJhcPAjonlTdwOjEZEEWnc3J6g3FFN6qQZsptt93WWaDlZemtCijT8uzMnC73sqBuXzXpv37jCvCnN17Xfl+C+1iWV1loN954Y/sV2a7jBVQ/X/ZnN1dzJT4ZpRhuJ6c3hspJ5Y3hdGIyGCi6rsvz4XZicgt5jqenB/uKLn/wx+thOIMxvz3+AgiePkxjzZo1Q//u+lSS9BmdeVmkMzpRLFgJpoJKhZXKr+s1ubSqTGWcCjNte0Nxtuj6dQ80nz966ZQPPrU//1SUtK/077Rd3Jfbb7+9/R6ZlCs/IUX182UyGHM1V2JFV+B2cnoDlZPKGzidmAyIFZ3OyekN8KBdPu2Ika9mmLMXZ+Ldt1JLZZdGKpREfrtUfKns0m3y0sbTm6m0UoEeecj7mo+8Z7fmR9/5RvvvdN9Srm/fKLVyWyWqny/7s5vJMR9FuZ0ougK3k9MbqJxU3sDpxGRAFJ3OyenNovZOK6+0YqqBKd/0mZooplRO+ceInfKR91PvtUtgG3mRlqiOE/uzm8kxH0W5nSi6AreT0xuonFTewOnEZEAUnc7J6Q2Yj+6aC2+sxPo+CYV5OwOzv1R0h5zxw6nV49dP+sRQ2eGvmafV3ShSOfet5oDqODEZMNNj3ke5nSi6AreT0xuonFTewOnEZEAUnc7J6Q1UTjXeWNGVTxEC1f7wOiSKFPvIV2G3fv+/mn8ffGZm+iOvWN2Nos81x3ksAZOrmStRdAVuJ6c3UDmpvIHTicmAKDqdk9MbqJxU3sDl1K7usr9m3r52d8U3B9fOHJd3gsnVzJUougK3k9MbqJxU3sDpxGRAFJ3OyekNVE4qb+B0uu7bX9+0uhuMrtWd6k8VqTKAydXMlSi6AreT0xuonFTewOnEZEAUnc7J6Q1UTipv4HRKma+fdMxQ2ZWrO+dcYTKAydV4R9EVuJ2c3kDlpPIGTicmA6LodE5Ob6ByUnkDp1OemXzt7u+HCi+t7pxzhckAJlfjHW8YL4bbyemNoXJSeWM4nZgMBoqu6/J8uJ2YXMxxnZPKG8Pp1JX52qeOmHztbjBwZuYXP/vJablyOL0xmFzNXIkVXYHbyekNVE4qb+B0YjIgVnQ6J6c3UDmpvIHTqS9z64pvD63uDtxr17Gfmen0BkyuZq5E0RW4nZzeQOWk8gZOJyYDouh0Tk5voHJSeQOn07jM10+cfO0ORYevo87MdHoDJlczV6LoCtxOTm+gclJ5A6cTkwFRdDonpzdQOam8gdOJyWB1d+R7d5ta3WF0re6cToDJ1cyVKLoCt5PTG6icVN7A6cQSRadzcnoDlZPKGzidmAyAe1rdpVGu7txOTK5mrkTRFbidnN5A5aTyBnPthI9NmpiYaMsLA9+nj1LqI4pO5+T0BionlTdwOjEZkNzb1+7+cfjMzLS6czsxuZq5EkVX4HZyegOVk8obzLXTsmXL2gFS6aV/9xFFp3NyegOVk8obOJ2YDCjdu1Z3K5afM7i2H6UTk6uZK1F0BW4npzdQOam8gdMJoOTGreqi6HROTm+gclJ5A6cTkwFd7tNWdxPdr93lKJ2YXM1ciaIrcDs5vYHKSeUNnE5g6dKl7RhFFJ3OyekNVE4qb+B0YjJglPvU6m7wuZlY3d145fLBtcMonZhczVzZAjeKEWM+D/wl6D7w51HwV5fx16PB8uXLmyVLljSrV69uPwm+a3sYKLquy2PEWCjjyyed0J6ZibchpHHsByY6s5v7iBVdgdvJ6Q1UTipvMNv9obRQXiincuQrN5Tc4sWLm5UrVw4u6Qe3HYfzWAImF3Nc56TyBk4nJgPYY35Rx2t3+epO6cTkauZKFF2B28npDVROKm+g2t8o8LpcWskxRNHpnJzeQOWk8gZOJyYDZnLMb73m280J087MPKC9TunE5GrmShRdgdvJ6Q1UTipvoNpf319xzp+uZImi0zk5vYHKSeUNnE5MBtQc867VnerMTMDkaryj6ArcTk5voHJSeYO5dsLTl+mpzDTirMvRKJ2c3kDlpPIGTicmA2qP+bTVXXtm5uTqrg/WicnVeEfRFbidnN5A5aTyBk4nlig6nZPTG6icVN7A6cRkwGyP+dTqTnRmJmByNd5RdAVuJ6c3UDmpvIHT6aGHHhp8N5ooOp2T0xuonFTewOnEZIDimGN1d9xBf7tpdbdxdK3uWCcmV+MdRVfgdnJ6A5WTyhs4nZgMiKLTOTm9gcpJ5Q2cTkwGKOfKRcuOHiq7ydXdxYME78Tkaryj6ArcTk5voHJSeQOnE5MBUXQ6J6c3UDmpvIHTickA9Vy59ZrLp5+Z+VH+zEzA5Gq84y+MF8Pt5PTGUDmpvDGcTkwGA0XXdXk+3E5MLua4zknljeF0YjIYczVXzv3U4ZOv2w3GoXu/rbni/C8MZfoGs78a71jRFbidnN5A5aTyBk4nJgNiRadzcnoDlZPKGzidmAyYy7kybXW3sfBOG6zuRsHsr8Y7iq7A7eT0BionlTdwOjEZEEWnc3J6A5WTyhs4nZgMcMyVqdfu8jMzv3vJ4NrpMPur8Y6iK3A7Ob2ByknlDZxOTAZE0emcnN5A5aTyBk4nJgNcc+WWjau74w8ePjPztI8eOLh2GGZ/Nd5RdAVuJ6c3UDmpvIHTicmAKDqdk9MbqJxU3sDpxGSAc64gU56Z+eGO1R2zrRrvKLoCt5PTG6icVN7A6cRkQBSdzsnpDVROKm/gdGIywDlXUgaru//4x3cNFV6+umO2VeMdRVfgdnJ6A5WTyhs4nZgMiKLTOTm9gcpJ5Q2cTkwGOOdKmela3d30vUuobdV4R9EVuJ2c3kDlpPIGTicmA6LodE5Ob6ByUnkDpxOTAc650pVpV3f/NLy6O+nQ/QbX9lPjHUVX4HZyegOVk8obOJ2YDIii0zk5vYHKSeUNnE5MBjjnyqjM0OpuYtPqro8a7yi6AreT0xuonFTewOnEZEAUnc7J6Q1UTipv4HRiMsA5V8Zlbrl6sLobvA0B4/SeMzNrvOOTUYrhdnJ6Y6icVN4YTicmg4Gi67o8H24nJhdzXOek8sZwOjEZDOdcYZ2+eOyhk2U3GIe++23NtZecN5Sp8Y4VXYHbyekNVE4qb+B0YjIgVnQ6J6c3UDmpvIHTickA51xhnZCbWt2lpzOL1V2NdxRdgdvJ6Q1UTipv4HRiMiCKTufk9AYqJ5U3cDoxGeCcK6xTnrtw2pmZb29u+t6lVd5RdAVuJ6c3UDmpvIHTicmAKDqdk9MbqJxU3sDpxGSAc66wTmWua3V33Af/ZnBtP+V2ougK3E5Ob6ByUnkDpxOTAVF0OienN1A5qbyB04nJAOdcYZ36cvnq7sC9dp1a3fVRbieKrsDt5PQGKieVN3A6MRkQRadzcnoDlZPKGzidmAxwzhXWaVQure5QdKn0Tj+c+8zMKLoCt5PTG6icVN7A6cRkQBSdzsnpDVROKm/gdGIywDlXWCcmd+KHD5gqOoyu1V25nSi6AreT0xuonFTewOnEZEAUnc7J6Q1UTipv4HRiMsA5V1gnJgfvW66+bPqZmdnqrtxOFF2B28npDVROKm/gdGIyIIpO5+T0BionlTdwOjEZ4JwrrBOTy70vXHbUUNl9eO/J1V25nXjDeDHcTk5vDJWTyhvD6cRkMFB0XZfnw+3E5GKO65xU3hhOJyaD4ZwrrBOTK71XfuuC5vh/+NuhN5ov+7/7DmViRVfgdnJ6A5WTyhs4nZgMiBWdzsnpDVROKm/gdGIywDlXWCcm1+c9tLrbWHZpdQei6ArcTk5voHJSeQOnE5MBUXQ6J6c3UDmpvIHTickA51xhnZjcKO+br/5W86nyMzMPPzCKrsTt5PQGKieVN3A6MRkQRadzcnoDlZPKGzidmAxwzhXWickx3ueccNim1d3GEUVX4HZyegOVk8obOJ2YDIii0zk5vYHKSeUNnE5MBjjnCuvE5FjvdnV3yOSZmVF0BW4npzdQOam8gdOJyYAoOp2T0xuonFTewOnEZIBzrrBOTG6m3hd+9qgouhK3k9MbqJxU3sDpxGRAFJ3OyekNVE4qb+B0YjLAOVdYJyZX4x1FV+B2cnoDlZPKGzidmAyIotM5Ob2ByknlDZxOTAY45wrrxORqvKPoCtxOTm+gclJ5A6cTkwFRdDonpzdQOam8gdOJyQDnXGGdmFyNd7xhvBhuJ6c3hspJ5Y3hdGIyGCi6rsvz4XZicjHHdU4qbwynE5PBcM4V1onJ1XjHiq7A7eT0BionlTdwOjEZECs6nZPTG6icVN7A6cRkgHOusE5MrsY7iq7A7eT0BionlTdwOjEZEEWnc3J6A5WTyhs4nZgMcM4V1onJ1XhH0RW4nZzeQOWk8gZOJyYDouh0Tk5voHJSeQOnE5MBzrnCOjG5Gu8ougK3k9MbqJxU3sDp9Mgjjwy+G00Unc7J6Q1UTipv4HRiMsA5V1gnJlfjHUVX4HZyegOVk8obOJ1WrlzZ7Lzzzu3XUUTR6Zyc3kDlpPIGTicmA5xzhXVicjXeUXQFbienN1A5qbyBy2nt2rXNxMREs3jx4ii6MSidnN5A5aTyBk4nJgOcc4V1YnI13lF0BW4npzdQOam8gctp2bJlzf777x8rOrOT0xuonFTewOnEZIBzrrBOTK7GO4quwO3k9AYqJ5U3cDih2HbZZZdm+fLlUXRmJ6c3UDmpvIHTickA51xhnZhcjfcWuFGMGPN5rFmzZjCd+1m6dGlbcii4VHQ33XRT5/YwUHRdl8eIEWP+jVjRFbidnN5A5aTyBrPd3+rVq5slS5a05VSOVHD4CvKiGwVuOw7nsQRMLua4zknlDZxOTAY45wrrxORqvKPoCtxOTm+gclJ5A9X++kDJlQU47oSUKDqdk9MbqJxU3sDpxGSAc66wTkyuxjuKrsDt5PQGKieVN1Dtb8OGDYPv+okVnd/J6Q1UTipv4HRiMsA5V1gnJlfjHUVX4HZyegOVk8obOJ2i6PxOTm+gclJ5A6cTkwHOucI6Mbka7yi6AreT0xuonFTewOnEEkWnc3J6A5WTyhs4nZgMcM4V1onJ1XhH0RW4nZzeQOWk8gZOp/Xr1w++G00Unc7J6Q1UTipv4HRiMsA5V1gnJlfjHUVX4HZyegOVk8obOJ2YDIii0zk5vYHKSeUNnE5MBjjnCuvE5Gq8o+gK3E5Ob6ByUnkDpxOTAVF0OienN1A5qbyB04nJAOdcYZ2YXI13FF2B28npDVROKm/gdGIyIIpO5+T0BionlTdwOjEZ4JwrrBOTq/HeAhekwf65c+yo6/J8qP68OuvE5JzeGKptqbwxVE4qbwynE5PBQNF1XZ4PtxOTizmuc1J5YzidmAyGc66wTkyuxjtWdAVuJ6c3UDmpvIHTicmAWNHpnJzeQOWk8gZOJyYDnHOFdWJyNd5RdAVuJ6c3UDmpvIHTicmAKDqdk9MbqJxU3sDpxGSAc66wTkyuxjuKrsDt5PQGKieVN3A6MRkQRadzcnoDlZPKGzidmAxwzhXWicnVeEfRFbidnN5A5aTyBk4nJgOi6HROTm+gclJ5A6cTkwHOucI6Mbka7yi6AreT0xuonFTewOnEZEAUnc7J6Q1UTipv4HRiMsA5V1gnJlfjHUVX4HZyegOVk8obOJ2YDIii0zk5vYHKSeUNnE5MBjjnCuvE5Gq8o+gK3E5Ob6ByUnkDpxOTAVF0OienN1A5qbyB04nJAOdcYZ2YXI13FF2B28npDVROKm/gdGIyIIpO5+T0BionlTdwOjEZ4JwrrBOTq/GON4wXw+3k9MZQOam8MZxOTAYDRdd1eT7cTkwu5rjOSeWN4XRiMhjOucI6Mbka71jRFbidnN5A5aTyBk4nJgNiRadzcnoDlZPKGzidmAxwzhXWicnN3Ltp/n80nR+bu3pI5wAAAABJRU5ErkJggg==)
From the graph (pt. E) we can see that for x = 1, the y = 3.
(Note: Also we can put x = 1 in the given equation and can find the value of y-
We have, ![](data:image/png;base64,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)
At x = 1, ![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ y = 3
Question 12.Draw the graph of the equation y - x = 2. Find from the graph
i) the value of y when x = 4
ii) the value of x when y = -3
Answer:For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
i)the value of y when x = 4 is y = 6 (pt. E)
ii) the value of x when y = -3 is y = -5 (pt. F)
Question 13.Draw the graph of the equation 2x + 3y = 12. Find the solutions from the graph
i) Whose y-coordinate is 3
ii) Whose x-coordinate is -3
Answer:For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
(i) From the graph, we can see that for y = 3 is pt. E and the
![](data:image/png;base64,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)
(ii) From the graph, we can see that for x = -3 is pt. F and the corresponding y = 6 for that.
Question 14.Draw the graph of each of the equations given below and also find the coordinates of the points where the graph cuts the coordinate axes
6x - 3y = 12
Answer:For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
⇒ ∴ the pts. Where graph cuts the co-ordinate axis(i.e., where x = 0 and where y = 0) are pt. A = (2,0) and pt. B = (0,-4)
Question 15.Draw the graph of each of the equations given below and also find the coordinates of the points where the graph cuts the coordinate axes
- x + 4y = 8
Answer:For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
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Npyt5QElglKJ1K2Lhx4+zWMCXbKwlHKL1/H2mv4juvPcW3/0F3bWdQfSGV1353Oqz52te+NltL+TiVOs2jpGeRH+O1x8MILKGT0xtUTipvcDpN2RvmBdb13/9hc+QZF7cH1g9d8t3Z0l1ROp31wW80L1z/xdl3TfPta25sfumUC3Yc4PnZ1q1bZz8dJt9efj9S5fcn/XzoPg655wHVvcz8Hj/7c80d/9sfLdlmtw5e9ZbmgDsdPFvbdkrHSTXmJT2L/BivPR5GYAmdnN6gclJ5g9Npyt4wL7Au+c/NzRNPu7A9mFMc2PtQOaXtEVKQwooQ6/t+jLS9FEa5P8FEYOQB1d12TlpXHlDdq/jyiyV4Duq3n7mmOfAn7rNLSOV154c+rTn55JPbdSdK/3aqMS/pWeTHeO3xMAJL6OT0BpWTyhucTlP2hnmBxWyGA/3/+ey3m/ud/PH2oN5HyfZuuumm2a1+UrDkYcRtAioPEUKmu6yP5ITzL27r77qn+5aHMMvy7aeA4nVQcy8zX3fmLhdJHPWso5vDHvS45pBnnbdLWB3wiOc097rvA5vrr79+1r2d0r+d6nFQ0rPIj/Ha42EbWCwYK/eLyUr6nN6Ual0qb0rlpPKmnE5T9qYIrL7lP/jBD5bMZvLbN9988y79bO+GG26Y7fLjsO7u73OKLw8WtgEECAX8HiQXguuHP/zhLutKhRM/z2G93//+99vb3JcUWKkvD8PPXrxxxwtz8xfpUu0LdbcFVPtC3U9uf6Hu0Jgfd9xxze33O6A5eMVvN/s98tjmoIc9ozn07vdpfuUxj2suvfTSXfpL/3YlfaqeRX6M1x4PY4YldHJ6g8pJ5Q1Opyl7w9gMi4N3Pqvqm5Ek0vbo5Xe6s4lU+eylSx4g0Dfjgjw8xxgbg7TuFIaXfPGy5lvf+e6SMNx09fd2zKAIqBe8/Ozdvsz8i1/8YnPGGWc0T/3dpzcvf/nLm49+9KOzn+xK6d+upE/Vs8iP8drjYQSW0MnpDSonlTc4nabsDWOB1Q0oDuKEDl+7lG5viG6AwHIE1uVXfnfbbO7mJfeFWdc569/eXPTvn1+yTZa/9X2fagNKNeaxb3p7oHbMI7CETk5vUDmpvMHpNGVvGAqsNFPKw6kvVBKl2xuiL4QUgZWeg1p72jnNpV/8ahtC6b6l+3HZ5d9sn4P62Gf+o/2e5d37qBrzkseK+lL7eZScyl3kx3jt8TACS+jk9AaVk8obnE5T9oahwCIM8lN5eREWhEZO6faGUAXW+W1Azd7N/ITtl5kft/ZlzTeu+Fb7825Yff/GHzSXfuWK9naCn7Fdtp9QjXnpY6UE5eNgHl/60pdmt8ZROSnvW+3xMAJL6OT0BpWTyhucTlP2hr7AGptJ9c28IG1vd5/DGgqhvtlO6sXh+htu3BFQzJLSc04UF0fw9Qtfvqz9vW5YQd9spm+bqjEfe6yk+1UyXqBy4r4ObYef8VjYvGX7BS/zyLfH76b7wbgz/pAu6OElBGlZF9V9g9rjYQSW0MnpDSonlTc4nabsDX2BNRRKkMJsd2YgYwyFJAdSDuIc4BJ4pWVfuew/m//3vWvb5d/57tXN/3zZq9qQIryev+7M5sJLh8MKui9ATh7dA7hqzIceK2yPA3s+5inAumOdUDixvaH18zOchn7eR7pEv/t34/sUWukK0LFtq8Ybao+HEVhCJ6c3qJxU3uB0mrI39AUWB/X8YNNdV37wSZRsL11OPgTr7R7A0kE7BU36nl645trr2q+J737vuuaT/7703cy76xgj9ebBAaox73usjP2DkH6W7m9OyfZuvHH4tWpD9xXSz2oDq/tyiAS/z3r6lvVtXzXeUHs8jMASOjm9QeWk8gan05S9oRtYfQf37rr6DqIKJ9abXod1xbe+23zqwu1vApsfPKnkdsW3r25u+P4PlvxeTtoenul3u8V6WX+Cg2d3GSjuH/Q9Vrg/eSik15sByy748jWz75ZS+rq3IYbuK+CUqiawhl4cnv6G3eDl+771q8Ybao+HbWCxYKzcLyYr6XN6U6p1qbwplZPKm3I6TdmbIrDy7/NTZJy62bx585J1df9jTy8C3l2n93x0+yfqXvaNb+34j5uDGNt+3Zve1lx8af9HyeNx3XXX7Ti4v/njV7aBhX9aN9ub9+4awLbSC4c5QKeDKtvI15VuD1VJT/5YwS2/z0AIpfVwO50+A/rT71Lcd+4z/zz0hTGV1pv/XvobpkACtpVmwARZmkHngcXpvnw9fcUnKOfOCTzycLz22u2ncfN/NvL7pxpvqvZ4GDMsoZPTG1ROKm9wOk3ZG/pOCXZROp3/mZ1X8eUXSbzujW9rD3QcuNL7+X1tW4jxQt3Lr7p6toadfPzjH5/d2j4L4cC6O7OiPNDybXdRjUH3sdI38yhZD4yd7ptHvt08YLoBmgdWCV13wq8bnjnJo3taUDXeUHs8jMASOjm9QeWk8gan05S9YbkDi4A6vQ2oM9t3i0gB1S3Ci1N8wIEt/ec/RD7mBM1L/+krs+92UuOdDtTdA2diT8Ygp/tY2ZPAuuaa/lOFJTBm6XmzfFaNRx5QexpYiTS+3b9rWt4NM9V4Q+3xMAJL6OT0BpWTyhucTlP2BnVg5QE1dJl5CqiT01sdXbLzs6BKmcq+2XfALnUqOd05RB5YaYbFsu5zgarAAraVTjUmhoJMNd5Q+1iJwBI6Ob1B5aTyBqfTVL2vuuqq5l3velcbWBdccMFsaT9j60oBdfxLXrNLQOXFzwgxAupTcwKqe6l5H1PaN7uh0F3PUGjwvFsKnvx5q7y6M5dEX2DR27cOqhs0Q+QXjHQZC6yYYc2hpG9KO0UXt5PKG5xOi+o9BBcqPPvZz25u++O3b+5y/19ubvtTv9Acdo/7NT973wc0b3/722ddS8m3NzSDymdPKaDSDCoFVKl3Sd+U9s08PCAP7PSzvuDhb7m79J2K7KN2hoV79/4k2BbbZNuJeA6r8E6U9E1pp+jidlJ5g9Np0bzXrVvXzpqolStXNps2bZr9ZPuVYA84/OHNIQ9f1Rxy9PuW/Ad94MrTmv0POqw5++yzZ93bIaBecdY7ek/x5cXzU92A6lJy30A15qrxBtW6hrzT7CY/cKeD+VBglGxv7H0JCaPuqbgutYGVZlj8Xh5OQ8HL8rGXJIxR+rerfaxEYAmdnN6gclJ5g9Npkbw3bNjQBlaC2/n3xx9/fHPIQ5+2JKjyOuhJZza3vvW+zUte+aYlAdWdPVHtDOrPdwaU6r5BSd8U9810UM//JmMzoD11Ihy7M54ufYGF01CIpcvVgd/N70sK4/wzyobWpRpvqH2sRGAJnZzeoHJSeYPTaVG9gQBLsyz+077VrW/d3Pmody45iHTr9g/8nebBj/hvS8KJwFoaUNvf7ihH6V3SN+V9s5Q9dRo6HddHHkSEy+nnfb03sEqc0qlMfp+w6tu+aryh9rESgSV0cnqDyknlDU6nRfWG9evXN6tXr27DivA69J6H94ZUXgc8bl1zt3vef0lAfehT2z92Ywyld0nflPfNkotOQOFEWJSc8su9mQn2vYwASpzS+w2ObVs13lD7WGkDKyoqannrsssua1+bw1VfGzdubI444ojmH9754eb0c9/d/PozjmvucLcH9oZUXgf+2l82933Qw3vXHzWd+uQnP7nj1Byn7jg1x8ynrzcvXqxML2HDO2N84hOf6O0bq+985zvt7C5/t/ZLL720t/eWqJhhCZ2c3qByUnmD02nRvLlI4sWv/ofm8atObJ5x3J/sOK335Gce1+x7u/17Qyqv/X7hOc3JJ588W9t2HN45JX2xb2rv3zyUj/GSqxuV9612zCOwhE5Ob1A5qbzB6bS3e5//mS+0M6h0kcSRx6xtnvL728Jq9dolz0Pxs7vf++eb/X/5Bb1B1dazP9AcfJe7t6cPc5bDe4ySvtg3dU6q172ByknVA7VjHoEldHJ6g8pJ5Q1Op73Nm4A6beAyc0LqqUef1H7Nn4O6YHaRBC8Q5sKLAx7/sl3C6pCj39sc+nOPadasWdP25jjHEkr6Yt/UOam8welU0gO1Yx6BJXRyeoPKSeUNTqdb2vv8Ty+dQRFM/ZeZv6Q56uTTmvs88tebg37yfoOvxXr/+9/f3O3uP9PcY8Vjm/0fdVJzx8f8SXPHhzyjOeDgw5qTTjpp1rUU51hCSV/smzonlTc4nUp6oHbMI7CETk5vUDmpvMHp5PY+76MXtQF14sgLdbdfZv6SXWZQNbz+9a9vnnvM6ubH9r1dc+qppzYXXXTR7Ce74hxLUI2528npDSonlTc4nUp6oHbMI7CETk5vUDmpvMHptNzeH57NoE582faA6ps9UXlAfbjgMvPSN0ZlFjYP51iCaszdTk5vUDmpvMHpVNIDtWMegSV0cnqDyknlDU4ntXc3oLrBlAJrbAal8oYILJ2T0xtUTipvcDqV9EDtmEdgCZ2c3qByUnmD02lPvfOAGv08KN6Lb1tAveqN7557ik/lDRFYOienN6icVN7gdCrpgdoxbwOLBWOl+kjk0o9NLulzelOqdam8KZWTyptyOtV68xzUaa97R7PmJa9pA4oZ045avfP2UWte3PCpuwQUp/jS7zu9KQKrb3lebqeSvtg3dU4qb8rpVNJD1Y55zLCETk5vUDmpvMHpNK+HGdTa084ZPMWXihkUATXvIgnnfYOYYemcnN6gclJ5g9OppAdqxzwCS+jk9AaVk8obnE7dnr7noI485oW9AdV9DuqW9B4iAkvn5PQGlZPKG5xOJT1QO+YRWEInpzeonFTe4HQ67yOzy8xHZlAEVl9AdXF6l/RABJbOyekNKieVNzidSnqgdswjsIROTm9QOam8YTmdii8zzwLqnDe/a/bb4yynd5eSHojA0jk5vUHlpPIGp1NJD9SOeQSW0MnpDSonlTconYovMx+ZQd0S3vMo6YEILJ2T0xtUTipvcDqV9EDtmEdgCZ2c3qByUnnDnmxvOS4zd3jnqHogAkvn5PQGlZPKG5xOJT1QO+YRWEInpzeonFTeULM9AuqVAzOo/HTf0AzqlvIeQ9UDEVg6J6c3qJxU3uB0KumB2jGPwBI6Ob1B5TSv54orrmhe9apXtR8IxwfDjTG2rg9/emMbUGtOfc3gRRIUAXXCS/++ec1bPjA6gyq5b4u8M0dg6Zyc3qByUnmD06mkB2rHvA0sFoyV+8VkJX1Ob0q1LpU3pXIa6vnIRz7SPOaxj29uv98BzUH3OLw59Kcf2Oy7723aj3bnk0n7fidf13kfuXD7C3W3BdSSF+pmL9KleKEuAcUpvvNnL9RV3beS8aZU21P1UARW3/K83E4lfbFv6pxU3pTTqaSHqh3zmGEJnZzeoHLq6/nABz7QhhMfc5F/NtOdn/kvzSEPfWrzoAc/orn++utn3dthBkVADV0kkYqA4hTf2AxKdd9KxhuWcyy7lPRAzLB0Tk5vUDmpvMHpVNIDtWMegSV0cnqDyqmv56d++l7NAY976ZKwyuuQhz29+fUnPW2X56CYMXUDavtzUK9rA+rT2wJqOb27LPLOHIGlc3J6g8pJ5Q1Op5IeqB3zCCyhk9MbVE7dnnPPPbe5x+G/2htUqfgU3Fttm4E99VlrloQTgdUNqC7L5d3HIu/MEVg6J6c3qJxU3uB0KumB2jGPwBI6Ob1B5dTtOWb185r9H3Vib1Dltd/dH9I8+glPWRJQ518w//Oglsu7j0XemSOwdE5Ob1A5qbzB6VTSA7VjHoEldHJ6g8op9aSr+O59+C+2H8/eF1J5HXi/xzR/9pdntL+bUDuNUdKzyDtzBJbOyekNKieVNzidSnqgdswjsIROTm/YU6cPX5BfZv7SHaf1Dn/4Lzf7rTiyN6TyOuwe928+9alPzda2HdU4qXoWeWeOwNI5Ob1B5aTyBqdTSQ/UjnkEltDJ6Q21TimgTnzZWUsCqnuhxG+sOqb58f0Pag45+n29QUUd+Gt/0dzr3vefrXknqnFS9SzyzhyBpXNyeoPKSeUNTqeSHqgd8wgsoZPTG+b1EVCnve6duwRUt7ZfZr70IonnP//5zaE/99jm0Od8aJewOujJr2vuePBdm7e97W1tb45qnFQ9i7wzR2DpnJzeoHJSeYPTqaQHase8DSwWjJX7xWQlfU5vSrUulTfV7fvX8y9s/mJbQC15oW7nRbrUjhfqbpttcZHE0PaO/oNnNwff9R7Nfo84pjnwiX/dHHjEnze3f9BTmx+71a3ad77o+x3VOKl6Ssab2tu8KQKrb3lebqeSvtg3dU4qb8rpVNJD1Y55zLCETk5vIKBeee57RmdQBNSSy8z/o+4yc97tgtnWA1c8vHnsyic269ata77+9a/PfrorqnFS9ZSMNzidbrjhhtmtcWKGpXNyeoPKSeUNTqeSHqgd8wgsodNye3+ofQ5qZ0ARRn0htRyXmSt3ihKc4w2q7anuP0Rg6Zyc3qByUnmD06mkB2rHPAJL6KT2bgPqjcMzqBRYYzMopzcMreuF67+4y3Nh1C+dckHz7WtunHXtROV91VVXtV/Z/lkf/EZ7u4/uui75z83N/U7+ePOhS747W1LvdP33f9gcecbFS9YBeOAzjwgsnZPTG1ROKm9wOpX0QO2YR2AJnfbUOwXUmlNfO3qRRAqoV557Xu8pvhyHd87QujhAc/DmIJ7DwZtgICByVN4333xzGxh9287J15WChkCtDaz8/RVTSHcDayjIukRg6Zyc3qByUnmD06mkB2rHPAJL6FTrPTSD6p7qawPqz7bNoN68dAalcqr1HmNoXUOBBX0/K3G66aabZreGYfbGLG5eOOTbI0TTDLA2sAjItM2+dSRYNi9EI7B0Tk5vUDmpvMHpVNIDtWMegSV0mtdDQK097Zyyy8x7AqqL6v6V9OzpTpGH0tatW2dLt7O7p99KYJ1Dpx1z0swIl1/c1v/mj1+5W04prLivF3z5ml3WAXmodX+WE4Glc3J6g8pJ5Q1Op5IeqB3zCCyhU7enbwZ15DEv3CWgmEGdlAXUcjr1UdKzpztFHljdD4FMB+/8OaZ8PSnQ0oylW2PPTbFdah6EKG440q8I0b51QJoZznOLwNI5Ob1B5aTyBqdTSQ/UjnkEltCpvcx85CIJisDqBlQXpZOqZ093Cg7MQ4GVgmIosHaXviAcg2BJs7HdDaz8NOVQYKXL2vFKY9JHBJbOyekNKieVNzidSnqgdswjsPbAqTuDGrvMPAXUOW9+1+y3h1GOk6pnT3eKWyKwhgKjj+4put0NrLxnaPubN2+/wITlKSD7iMDSOTm9QeWk8ganU0kP1I55G1gsGCv3q59L+pzeFH0730nitc1RJ5zaBtSSmr2rxPZ3knhtexUfr4PK16PyplT3r6SnxJvqriuFUx5YHLDTz5mRdGdCW7Zs2bGekgsrgOeF0jopTvHlgdF93qxL9/RcN2x++MMfNldcccWSbfRV8u7bft4DLOfn9HE/089TEVjdZd0q+dupeqiSvlti3+xbnpfTm1I5qbwpp1NJD1U75jHDGunJZ1AEVN/siUozqO2XmQ+/CwSovGFP71+ipKfEG4bWNTbD4oDNhQ58TeTrSQf+vuevqKFTfnlgJOjNfxenr3/nhjYw8+V5pSAjSOfR551vH2KG5XdyeoPKSeUNTqeSHqgd8wisrGfoMnOKmVO6zfv0EVB/1z4HtTOgnN5Qe/+GUHnD0LrywOrS97PSMRijO3OroS9smMXNI/ceCqwU2HgNjQlEYOmcnN6gclJ5g9OppAdqx3whA+vqq69u3vKWt8y+G2beegiovzi74N3MtwUUp/jagLp0z95H70d1pxgKLA7aHNQ5uOeUOHVnan2w3TRDGqN7ynAobOaRew+t4wc/+EH7dZ5bBJbOyekNKieVNzidSnqgdswXKrDe8IY3NA9a8dDmtre7Q3OHAw9tbnvb2zWrjjyyueSSS2YdS+muh4B6VWcGlc+c8oDaMYOaBZTq/v2o7hQcmPtOtw2dElN5zzvtluiuqy9sWNY9ddklX89QYBGOafY3FogRWDonpzeonFTe4HQq6YHaMV+YwDr2+BOau9zr8ObAJ/zVjoPdIc/612a/Rz6v2fc2t23e/e53zzp3wkUS3YDqVnuRRBtQZ43OoFT3L3aKMlTeJcEApd68oLg0sMbAZ+x0IERg6Zyc3qByUnmD06mkB2rHfCEC68wzz2wOu9dDmkOf/cEl/52nOnDly5s7HXxo864PfXp7QG0Ln2eNXGaeB9RHLrh0tpVxVPcvdoqyt1RSeUNJOJSsi99npjg2WytdDz7zQjQCS+fk9AaVk8obnE4lPVA75gsRWPf82fs1d/rNM3rDKtXtH/CbzYMf+StLgikFVh5Qn+nMoHbXqY+SntgpvD1cjg4EzdjFFyXrYmb10n/6yuy7fkrWg8fYc1eJCCydk9MbVE4qb3A6lfRA7Zjv9YH11a9+tTngznftDam8Dvy105q73P3eSwKKy8y7AdVld5yGKOmJncLbc/nll89ujVOyrhtvHH8eDErWU0oEls7J6Q0qJ5U3OJ1KeqB2zLftE/u0O8beWIfea0VzzxWPbm578E/3hlReBz35dc2PH3BYc6e73ad3XVE/unXGGWe0wcXO0fdzZx1++OHNV77ylebzn/98s2bNmt6eqKiogXL+NzSvJ13FxztJPOvE7RdJPPVZa5p9b3v73pDK64BffXHzG7/1pNmatqPyBtW64r+48C7pAXbQebidSvqcxxRQrSv2TW8P1I75LRpYOy4z5yKJWUDlzz2lOvQn77UtkE7pDapUd//5Rzdnn332bM3bUXmDal2xU4R3SQ9EYOmcnN6gclJ5g9OppAdqx9waWDsuM+8E1C615pQlF0m8733va/Y74ODmoCef3RtW+z1idbPiYY+cbWUnyoFVrSt2ivAu6YEILJ2T0xtUTipvcDqV9EDtmC9rYH24M4Mavsz8xUsCqm9dZ511VnPrfW/T7Pewo5uDfues5s5H/mN7ocXdH7KyeeCKh7UXZ3TZXe8+VOuKnSK8S3ogAkvn5PQGlZPKG5xOJT1QO+bSwOoGVDeYdl5mvjSgugxtj3e0OOGEE5r7PuDnmzsdctfml/7ro5tXv/rVs5/uSql3Cap1xU4R3iU9EIGlc3J6g8pJ5Q1Op5IeqB3zosAaIg+osXczTwH1yjfMv8wcSu5s7BQ6J5U3OJ0W1buURQ2s2jcJHkLpVNLz5S9/eXZrGLdTSU/Je2qC06mkB2ofK/ts2rSpvbFu3bpm/fr17e0Ey9hpVqxY0WzcuHFHQBE+3RlUfrpv5wzq/y4JqNI7UdKXH4g2bNjQelI4J5QDq1pX7s2YMrZ4r1y5skl/C7dTrXcC/yOOOKL9mnA61Xjz0SCrV6/e8Tjhdv5xIQ4n/r78nfu23wd983B458zrS8cMKn9Md3E6QUkP78CS/kYcU/pwO83ryR9T6Tg9hMsJSnry49/Y/pCvq90j0oMsDyxuP+OYFzZ//b/+tXn2i05vnvT7fzj6HNQJp/Ju5ksDqkvJnYCSvnQgyg+a6aCU7odqYEG1ruTd3TFwTmGbPi9pHiqnGu9EGuvuTuJ0qvFmfNPjovs4geV26m6Tv3X+z1Uf7JPzWG7vLmN9PJbz+zR2H11OidJ14cu4L0JgdR9TOPM9y/twOCXm9XSPf6WPlX24g6l53eln75hBPe25L2pWPfcP20AiqJ569EnNkces3XZ7W0itOaUNqNPfcF7zkU9f2q5Q+SmUJX0ciJhOcofz/+TyO17zCbHzal4fD5Jrr72292d5pQNod+fO4b70/W63hpxuuOGG5vrrr29vl9y/0vHma3ofQHaStWvX7vhngW3yc9X2VD2f+9znWt8u+Kedm1Mqy+nE45S/6apVq3aEe/645eNGur9DceDsW57Xcnr31VBf36md/D52P1HZ4ZTXWE86pYYvj4l0IO37u7icUg318I7/PJbYB/sCivvU/Z3ldsprrIe3S8M9PzvT3R/z/nxd+/QH1Iua3/2Dk9uAamdQa17cPOk5f9yc8JK/HZxBsbJ5lPRASV868LMz8AC78sor2+9rUTqVkN7bjq/MpP75n/+5PTDloavaFpSsq2a8gQcZB1926kU5Jdgl/8cGltspjRl/43Sw6Y5dl0WbYSXSW1jlB6Eubqd5Pfxd0mM6BVYfTicY68GRwGKMeaws0ilBHhN4p9lhd3/Myde1Tzqt9/Rnv2BHYD3z+FOaJxz1wuZP/uaNbUB1V96H6o5CaV+C2QT/4dV+5hKonEre0DR91EXyyt9BPP+DXXfdde3XIbrr6W43d2Fs5lE73niys/QddEvW5ezpIx2U0j8IsNxO+Tb7/sPsY1EDi31x3v1zO83r4dhG8fdZpMDiMZJcx/5BAIdToqQn5Qr3oTRb9uF0H89BPe3YU3fMoNKK0kDckoGVHkDcqW6lA+d73vOetpeDdN/HSLB8KLR2x6kL7+L9xNMuXLL+3PtNb3rTjo+U2BEks++T72WXXbbjgDZ21U8Kq/TO493vIa2bj6/ofpJuH7XjnYK176BUMp7L0TPPO4F/33+iy+3N9tIMa+qBxX1ijNPxow+301gPvunUWnocDbm7nBJjPTjmATXvMeVwSszr6bqOhW2+rn0+fMF/tDfYqfNAyr+f90cE1R2F0j7A88ILL2xvDwUWgTL0SbF76pTCIQ+MPgiP7kfB516sPwXW2LuCs51u+LLuvmV9Y9FH7Xh3AyEPgJJ1OXtyeDynMe6y3E5sMz2H1ffcax+LGFjcr3mnpsDpBGM9PC66j2mq73jnckqM9TDG6Z+g9P2iBFY3oMbc83Xtk5776QZWvsKSnUt1R6GkjydEAbehGVZ6IngssLhYoIS0vS75usdmM93Awi3/3auuuqr9G0DffxkJ7mOapSWnNMtiG4m+ZUOUjHffhy72PchUjwNVT/44GXsML7cTf9P8LAV/6/T3HoKD5jyW27vLWN/YQaeLyylRui4eHzxO+sIK3E5jPekxlVx5PA3NUsDhlJjX032ssF+U/DM5GFjAMnaavfE/pvzJ9C996Uvt16EZFsuHZkCcniEwCJP0nFC3xmZP/CxtcyjUIM3EUtik79Pv8tZS6YE2dP/T7ySf1Nd3WhDycBujdrwTfQeoknU5e7hSFNJjOa9853Y4pYNhd9tD0DcPh3fOWB/Hj3x8qZKD0BAKp0TpuhYpsCB/TA2NdcLlBCU9jHF6nIxlTL6ufS666KLZzT1DdSegpK/vAMrBuS9wqKEDd8mH8kHf7KkbQiWztdxxyGno/tcGVh6mY+zuePdRsi5nz8UXXzy7NY7TqRR25Hm4vVX3z+1U0rOo73RRitNpubyL3popXYo9hvJOlPQNBVbfAZoDNwHRd3rsmmuumd0ap+9qu25QjF0skWZxeajgy++znpyh+18bWNzfvvV32d3x7qNkXc6evdG75EIYWNTAuvrqq2e3hnE7lfSUPFbcTiU9JeMNTqeSHih5k4R8XW1gsWCsnC84o0r6cu80SxoKrHSgTzMaTsWk3x0LmRwOMul3KJ7T6QbFWLD3uXV/P73wuO/+c7oxDyyeA6OPbebrYTn9kD9v1n3hZl614z1WJety9iyqN0Vg9S3Py+1U0uc8plCqdam8KZWTyptyOpX0ULVjvqwfL9KlpAdK+vq8u6GQwqgbWDmlz2GlCzhyuoFDqHXXlQKDbXe3P+Q1dv/z9aT/TpJHdwYZM6zF9YZFnWE5jymgWpfKG1ROKm9wOpX0QO2YTzqw0qmXfGbSZd6LdBN9M7Fu4Iw9H9Z1gyGvvnBM0JtCKM3ohoKJ3u42+9jd8e7D+ViZsjdEYOmcnN6gclJ5g9OppAdqx3zSgZXID/Jd9tQpD4WxwKp5DmsMevmdFJLp+3y9CXpS3xi7O959lKzL2bPIO3MEls7J6Q0qJ5U3OJ1KeqB2zCcXWPmpvFRjobCnTgRRei3VvItTUrgMeaWfd0/tdemupy+UStcFuzvefZSsy9mzyDtzBJbOyekNKieVNzidSnqgdswnFVi7w546DZ3W210ImJKQmQfrKDkdCMrxLlmXs2eRd+YILJ2T0xtUTipvcDqV9EDtmE86sPrenaGLwonZVfe9BIf49re/PbvVz0v/6Svt+koYujw6hWhp8KnGG0rW5exZ5J05Akvn5PQGlZPKG5xOJT1QO+aTDiynEzOskueLxrwJPNZRMiuCIafcZd5pSlCNN6jGXNWzqN4QgaVzcnqDyknlDU6nkh6oHfMILKFTCSXepa8NK3EquQpSNd6gGnNVz6J6QwSWzsnpDSonlTc4nUp6oHbMI7CETiXvYBA7RXiX9EAEls7J6Q0qJ5U3OJ1KeqB2zNvAYsFYuV/9XNLn9KZU61J5UyonlTfldJqyN0Vg9S3Py+1U0hf7ps5J5U05nUp6qNoxjxmW0MnpDSonlTc4nabsDTHD0jk5vUHlpPIGp1NJD9SOeQSW0MnpDSonlTc4nabsDRFYOienN6icVN7gdCrpgdoxj8ASOjm9QeWk8gan05S9IQJL5+T0BpWTyhucTiU9UDvmEVhCJ6c3qJxU3uB0mrI3RGDpnJzeoHJSeYPTqaQHasc8Akvo5PQGlZPKG5xOU/aGCCydk9MbVE4qb3A6lfRA7ZhHYAmdnN6gclJ5g9Npyt4QgaVzcnqDyknlDU6nkh6oHfMILKGT0xtUTipvcDpN2RsisHROTm9QOam8welU0gO1Yx6BJXRyeoPKSeUNTqcpe0MEls7J6Q0qJ5U3OJ1KeqB2zNvAYsFYuV9MVtLn9KZU61J5UyonlTfldJqyN0Vg9S3Py+1U0hf7ps5J5U05nUp6qNoxjxmW0MnpDSonlTc4nabsDTHD0jk5vUHlpPIGp1NJD9SOeQSW0MnpDSonlTc4nabsDRFYOienN6icVN7gdCrpgdoxj8ASOjm9QeWk8gan05S9IQJL5+T0BpWTyhucTiU9UDvmEVhCJ6c3qJxU3uB0WlTvUiKwdE5Ob1A5qbzB6VTSA7VjHoEldHJ6g8pJ5Q1Op0Xy3rJlS7N69eo2hChus2yMCCydk9MbVE4qb3A6lfRA7ZhHYAmdnN6gclJ5g9NpkbzXr1/fFqTwSt8PEYGlc3J6g8pJ5Q1Op5IeqB3zCCyhk9MbVE4qb3A6Lao3EFbzZlkRWDonpzeonFTe4HQq6YHaMY/AEjo5vUHlpPIGp9OiesO6devaGiMCS+fk9AaVk8obnE4lPVA75m1gRUVF7Vlt3rx5tkvtytatW5trr722ue6669rvN2zY0KxcubLZtGlTc+ONN/aujyKw+pZHRf2oVsywhE5Ob1A5qbzB6bQ3eRM+hBAh0618JkVYrVixotm4ceNsyTD87jycYwklfbFv6pxU3uB0KumB2jGPwBI6Ob1B5aTyBqfT3ug9Bs9bpZlVCRFYOienN6icVN7gdCrpgdoxj8ASOjm9QeWk8gan097ozem/PvLTgKVEYOmcnN6gclJ5g9OppAdqxzwCS+jk9AaVk8obnE6L5M1pwXSKMFVcJTiO0snpDSonlTc4nUp6oHbMI7CETk5vUDmpvMHptKjepURg6Zyc3qByUnmD06mkB2rHPAJL6OT0BpWTyhucTovqfdNNN81ujROBpXNyeoPKSeUNTqeSHqgd8wgsoZPTG1ROKm9wOk3ZGyKwdE5Ob1A5qbzB6VTSA7VjHoEldHJ6g8pJ5Q1Opyl7QwSWzsnpDSonlTc4nUp6oHbM28BiwVi5P4WypM/pTanWpfKmVE4qb8rpNGVvisDqW56X26mkL/ZNnZPKm3I6lfRQtWMeMyyhk9MbVE4qb3A6TdkbYoalc3J6g8pJ5Q1Op5IeqB3zCCyhk9MbVE4qb3A6TdkbIrB0Tk5vUDmpvMHpVNIDtWMegSV0cnqDyknlDU6nKXtDBJbOyekNKieVNzidSnqgdswjsIROTm9QOam8wek0ZW+IwNI5Ob1B5aTyBqdTSQ/UjnkEltDJ6Q0qJ5U3OJ2m7A0RWDonpzeonFTe4HQq6YHaMY/AEjo5vUHlpPIGp9OUvSECS+fk9AaVk8obnE4lPVA75hFYQienN6icVN7gdJqyN0Rg6Zyc3qByUnmD06mkB2rHPAJL6OT0BpWTyhucTlP2hggsnZPTG1ROKm9wOpX0QO2YR2AJnZzeoHJSeYPTacreEIGlc3J6g8pJ5Q1Op5IeqB3zNrBYMFbuVz+X9Dm9KdW6VN6UyknlTTmdpuxNEVh9y/NyO5X0xb6pc1J5U06nkh6qdsxjhiV0cnqDyknlDU6nKXtDzLB0Tk5vUDmpvMHpVNIDtWMegSV0cnqDyknlDU6nKXtDBJbOyekNKieVNzidSnqgdswjsIROTm9QOam8wek0ZW+IwNI5Ob1B5aTyBqdTSQ/UjnkEltDJ6Q0qJ5U3OJ2m7A0RWDonpzeonFTe4HQq6YHaMY/AEjo5vUHlpPIGp9OUvSECS+fk9AaVk8obnE4lPVA75hFYQienN6icVN7gdJqyN0Rg6Zyc3qByUnmD06mkB2rHPAJL6OT0BpWTyhucTlP2hggsnZPTG1ROKm9wOpX0QO2YR2AJnZzeoHJSeYPTacreEIGlc3J6g8pJ5Q1Op5IeqB3zNrBYMFbuF5OV9Dm9KdW6VN6UyknlTTmdpuxNEVh9y/NyO5X0xb6pc1J5U06nkh6qdsxjhiV0cnqDyknlDU6nKXtDzLB0Tk5vUDmpvMHpVNIDtWMegSV0cnqDyknlDU6nKXtDBJbOyekNKieVNzidSnqgdswjsIROTm9QOam8wek0ZW+IwNI5Ob1B5aTyBqdTSQ/UjnkEltDJ6Q0qJ5U3OJ2m7A0RWDonpzeonFTe4HQq6YHaMY/AEjo5vUHlpPIGp9OUvSECS+fk9AaVk8obnE4lPVA75hFYQienN6icVN7gdJqyN0Rg6Zyc3qByUnmD06mkB2rHPAJL6OT0BpWTyhucTlP2hggsnZPTG1ROKm9wOpX0QO2YR2AJnZzeoHJSeYPTacreEIGlc3J6g8pJ5Q1Op5IeqB3zNrBYMFbuF5OV9Dm9KdW6VN6UyknlTTmdpuxNEVh9y/NyO5X0xb6pc1J5U06nkh6qdsxjhiV0cnqDyknlDU6nKXtDzLB0Tk5vUDmpvMHpVNIDtWMegSV0cnqDyknlDU6nKXtDBJbOyekNKieVNzidSnqgdswjsIROTm9QOam8wek0ZW+IwNI5Ob1B5aTyBqdTSQ/UjnkEltDJ6Q0qJ5U3OJ0W1fvmm2+e3RonAkvn5PQGlZPKG5xOJT1QO+YRWEInpzeonFTe4HRaVO+NGzc2RxxxRPt1jAgsnZPTG1ROKm9wOpX0QO2YR2AJnZzeoHJSeYPTaRG9t2zZ0qxevbpZsWJFBNYclE5Ob1A5qbzB6VTSA7VjHoEldHJ6g8pJ5Q1Op0X0Xr9+fbN27dqYYZmdnN6gclJ5g9OppAdqxzwCS+jk9AaVk8obnE6L5k1ArVq1qtmwYUMEltnJ6Q0qJ5U3OJ1KeqB2zNvAioqK2rPavHnzbJcaZt26dW1YEVQpsL7+9a/3ro8isPqWR0X9qFbMsIROTm9QOam8wem0N3lv2rSpWblyZRsy3UpBxVfIA2sMfncezrGEkr7YN3VOKm9wOpX0QO2YR2AJnZzeoHJSeYPTaW/0HoKw6gbZvAsvIrB0Tk5vUDmpvMHpVNIDtWMegSV0cnqDyknlDU6nvdF769ats1vDxAzL7+T0BpWTyhucTiU9UDvmEVhCJ6c3qJxU3uB0WlTvCCy/k9MbVE4qb3A6lfRA7ZhHYAmdnN6gclJ5g9NpUb1LicDSOTm9QeWk8ganU0kP1I55BJbQyekNKieVNzidFtX7xhtvnN0aJwJL5+T0BpWTyhucTiU9UDvmEVhCJ6c3qJxU3uB0mrI3RGDpnJzeoHJSeYPTqaQHasc8Akvo5PQGlZPKG5xOU/aGCCydk9MbVE4qb3A6lfRA7ZhHYAmdnN6gclJ5g9Npyt4QgaVzcnqDyknlDU6nkh6oHfM2sFgwVu6PTS7pc3pTqnWpvCmVk8qbcjpN2ZsisPqW5+V2KumLfVPnpPKmnE4lPVTtmMcMS+jk9AaVk8obnE5T9oaYYemcnN6gclJ5g9OppAdqxzwCS+jk9AaVk8obnE5T9oYILJ2T0xtUTipvcDqV9EDtmEdgCZ2c3qByUnmD02nK3hCBpXNyeoPKSeUNTqeSHqgd8wgsoZPTG1ROKm9wOk3ZGyKwdE5Ob1A5qbzB6VTSA7VjHoEldHJ6g8pJ5Q1Opyl7QwSWzsnpDSonlTc4nUp6oHbMI7CETk5vUDmpvMHpNGVviMDSOTm9QeWk8ganU0kP1I55BJbQyekNKieVNzidpuwNEVg6J6c3qJxU3uB0KumB2jGPwBI6Ob1B5aTyBqfTlL0hAkvn5PQGlZPKG5xOJT1QO+ZtYLFgrNwvJivpc3pTqnWpvCmVk8qbcjpN2ZsisPqW5+V2KumLfVPnpPKmnE4lPVTtmMcMS+jk9AaVk8obnE5T9oaYYemcnN6gclJ5g9OppAdqxzwCS+jk9AaVk8obnE5T9oYILJ2T0xtUTipvcDqV9EDtmEdgCZ2c3qByUnmD02nK3hCBpXNyeoPKSeUNTqeSHqgd8wgsoZPTG1ROKm9wOk3ZGyKwdE5Ob1A5qbzB6VTSA7VjHoEldHJ6g8pJ5Q1Opyl7QwSWzsnpDSonlTc4nUp6oHbMI7CETk5vUDmpvMHpNGVviMDSOTm9QeWk8ganU0kP1I55BJbQyekNKieVNzidpuwNEVg6J6c3qJxU3uB0KumB2jGPwBI6Ob1B5aTyBqfTlL0hAkvn5PQGlZPKG5xOJT1QO+ZtYLFgrNwvJivpc3pTqnWpvCmVk8qbcjpN2ZsisPqW5+V2KumLfVPnpPKmnE4lPVTtmMcMS+jk9AaVk8obnE5T9oaYYemcnN6gclJ5g9OppAdqxzwCS+jk9AaVk8obnE5T9oYILJ2T0xtUTipvcDqV9EDtmEdgCZ2c3qByUnmD02nK3hCBpXNyeoPKSeUNTqeSHqgd8wgsoZPTG1ROKm9wOk3ZGyKwdE5Ob1A5qbzB6VTSA7VjHoEldHJ6g8pJ5Q1Opyl7QwSWzsnpDSonlTc4nUp6oHbMI7CETk5vUDmpvMHpNGVviMDSOTm9QeWk8ganU0kP1I55BJbQyekNKieVNzidpuwNEVg6J6c3qJxU3uB0KumB2jGPwBI6Ob1B5aTyBqfTlL0hAkvn5PQGlZPKG5xOJT1QO+ZtYLFgrNwvJivpc3pTqnWpvCmVk8qbcjpN2ZsisPqW5+V2KumLfVPnpPKmnE4lPVTtmMcMS+jk9AaVk8obnE5T9oaYYemcnN6gclJ5g9OppAdqxzwCS+jk9AaVk8obnE5T9oYILJ2T0xtUTipvcDqV9EDtmEdgCZ2c3qByUnmD02nK3hCBpXNyeoPKSeUNTqeSHqgd8wgsoZPTG1ROKm9wOk3ZGyKwdE5Ob1A5qbzB6VTSA7VjHoEldHJ6g8pJ5Q1Op0X1LiUCS+fk9AaVk8obnE4lPVA75hFYQienN6icVN7gdFo0740bNzYrVqxog2jlypXNpk2bZj/pJwJL5+T0BpWTyhucTiU9UDvmEVhCJ6c3qJxU3uB0WiRvwomQ2rBhQ/v9+vXrm3Xr1rW3h4jA0jk5vUHlpPIGp1NJD9SOeQSW0MnpDSonlTc4nRbJm6CaF1BdIrB0Tk5vUDmpvMHpVNIDtWMegSV0cnqDyknlDU6nRfJmRnX66ae3s6w4Jeh3cnqDyknlDU6nkh6oHfM2sKKiovasNm/ePNul+iGweP6K57GA2VaacV188cW96ySw+pZHRf2oVsywhE5Ob1A5qbzB6bQ3eafnqAiZbhFM3eesOEU4b5bF787DOZZQ0hf7ps5J5Q1Op5IeqB3zCCyhk9MbVE4qb3A67Y3eQxBQq1evbrZs2dLcfPPNEVhmJ6c3qJxU3uB0KumB2jGPwBI6Ob1B5aTyBqfT3ui9devW2a2lEEyrVq1qTwkSWoTXvIswIrB0Tk5vUDmpvMHpVNIDtWMegSV0cnqDyknlDU6nRfPOX4eVZltjRGDpnJzeoHJSeYPTqaQHasc8Akvo5PQGlZPKG5xOi+pdSgSWzsnpDSonlTc4nUp6oHbMI7CETk5vUDmpvMHptKjeQ6cNu0Rg6Zyc3qByUnmD06mkB2rHPAJL6OT0BpWTyhucTlP2hggsnZPTG1ROKm9wOpX0QO2YR2AJnZzeoHJSeYPTacreEIGlc3J6g8pJ5Q1Op5IeqB3zNrBYMFbuj00u6XN6U6p1qbwplZPKm3I6TdmbIrD6lufldirpi31T56TyppxOJT1U7ZjHDEvo5PQGlZPKG5xOU/aGmGHpnJzeoHJSeYPTqaQH6sa8af4/jKu8IDZuP14AAAAASUVORK5CYII=)
⇒ ∴ the pts. Where graph cuts the co-ordinate axis(i.e., where x = 0 and where y = 0) are pt. A = (-8,0) and pt. B = (0,2).
Question 16.Draw the graph of each of the equations given below and also find the coordinates of the points where the graph cuts the coordinate axes
3x + 2y + 6 = 0
Answer:For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
⇒ ∴ the pts. Where graph cuts the co-ordinate axis(i.e., where x = 0 and where y = 0) are pt. A = (-2,0) and pt. B = (0,-3).
Question 17.Rajiya and Preethi two students of Class IX together collected ₹ 1000 for the Prime Minister Relief Fund for victims of natural calamities. Write a linear equation and draw a graph to depict the statement.
Answer:Given that together Rajiya and Preethi collected Rs.1000.
Now, Let the amount collected by Rajiya be Rs. x and by Preethi be Rs. y.
∴ the linear equation will be-
⇒ x + y = 1000
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
Question 18.Gopaiah sowed wheat and paddy in two fields of total area 5000 square meters. Write a linear equation and draw a graph to represent the same?
Answer:Given that total area = 5000 sq. m.
Let the area of field with wheat = x sq. m and area of field with paddy = y sq.m
∴ the linear equation will be-
⇒ x + y = 5000
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
Question 19.The force applied on a body of mass 6 kg. is directly proportional to the acceleration produced in the body. Write an equation to express this observation and draw the graph of the equation.
Answer:Given that mass (m) = 5 kg
Also, from Newton’s send law of motion, we have-
⇒ f = ma (where, f is force and a is acceleration)
⇒f = 6a is the equation to express this observation .
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUkAAACaCAIAAACrNS3KAAAAAXNSR0IArs4c6QAAFelJREFUeF7tXburn8XzNr9eRe0OIYimFATRFCFJYREvnSBorAQlonXIAU1poSG10WBxKrUICIKSpLBQCRJBtDaKBDmVFuIf4PfJb8I62X0ve5l9L/s+b3F4z+ezl5lnZnZnL5+ZA//+++89fIgAEWgOgf9rjiMyRASIwG0EDrh5+8CBA4SECBCBtSPwn0Vr216Uf46xZlH0rF3ko/RvAfDmedQM0icf1XkWIAKrRIC2vUqxkWgiMIoAbXsUIhYgAqtEgLa9SrGRaCIwigBtexQiFiACq0SAtn3Pd999h93F3377rZIAz58/j/bx4KVSF2x2sQhAryB66Nj0FDZl22KlHo61TXdYZhDt7u7ut99+i/O8s2fPlgvYjRSrvo8gg51+6o2t5Zh7LWiy33rrLZP2n332WaumHD1N2faxY8eeeeaZTz75RMONf998881HHnnERAapjezv76MKCEut2FkeGvD1119jmJDHpM25Gvn0008dI3iZS0B57Dvir127NmyT4AvcWSlAGrVaUTTWGe8wId13Rgu6CprKaAGgexXxr0ybv/76qybv/fffl/bxLT7Ht3jHh48++qjrF++umLYljCCujDSri3lfuU4z2NFVwJqmTX+Fz10vmrakHvMAT+pCK5tn23ntpNYy4RGNOOI9hXFSgC0IbaIeooGiaaKi8kgZNGJlOJpBy3n7gw8+0FaBSSZtmLEo/fLLL6OZzz77TBrDC/ReRk0ZQeUBvnCVk1ZBhw8fdgZ88+bNmMUzetRjTcgfIAq9U3TUicQ333yDz115DS/ocZp09erVGNoswGYbdyEAwTmTHpjP9/b2RFjQTJnzsVjDiOzqWsFqaduaptOnT0PhrKhMagcYAT6pghdQElaXIeCPP/6IbBljBAZgt2BGm5cuXZK6MmTkraWvXLkSzjx9uGFFCu1x5VEs9AZBDLTk999/j+RrxmKnTp1y45Qbi2ekJ69rzBCiYJgnoCFnzpyRdt59992LFy92tokpUD4/efJk1V0GY9t20gLPeWCV13rllVcwdwE1PHh58cUXXZuFG1Gzc6cXpdAeTA7CmuwXygOWyzGcoAXtk8tQu6LHDUxw5WRYl3nCCejgwYP4t6rpjsJlZtuy1++8Vm8JMUqHYQF44PB2Lv//g0nMwY1ZDiOOXvIldeqtdU28kiSfHIx06gomvePHj8uKDg9YTuKLhTMQcAOT89c8Y/ZMPaOL8ipmti2kHD16VF6wnVtOXHYL4jPjefXVV3UjTu/7VtqHDh2CZyUmJH64VMfEgne9jnXLXRnU8pa4ST65+CPOfcXUoZcbbid2LfN2tnCXWVFmlAsXLgh5586d87aWh8nuG7hLmDWzbRCHuRoTiHiGJTSV14UfDlPEo509rHOg90IeHNrOXlAe9g8hoQz2rvT+M6ZEDBbO9X366afL6UxqAdqDyTn0BoVmRxjn7SRUDQvDlcMaWwSBtbRbV8d0oZUzpnxMmbtiM0B9Y+pMUwYALYqeabiesZctAN48j5pBs3l7RqVk10SACIQI0LapFUSgTQRo223KlVwRAdo2dYAItIkAbbtNuZIrIsAYxtQBItAUAu50iWdgTcm1hJnmz4cATvM88gysxARYlwisAwGut9chJ1JJBFIRoG2nIsbyRGAdCNC21yEnUkkEUhGgbacixvJEYB0I0LbvyMn9lDop0FKqkCWIwugPQhFfpS+yUmqPE5eXX7ziWSn9eXAhNABYtorEYCZ9HasgjO+T+omDJjsiny09kfSHERQjK/YVcz+09HDAj0Z1vBEdntGFy5I28a/3SSFJo9Uhu9EyowV03K/RwqMFDNVJ+irhUcKNhEKRCIeaFx2YxMXMCJmtIX1NyX80lbAtdENxHef6fVSEnQXK6YnvF8IoH4z0qNQZ9hRW7fUCHl1J/Y6mRPASfXWaxwRwb/AqodxWncptG/TIkO0xhQ/1eC3zhAhOv4dQ1JB+Fdv2dHEg4G6kvE1ULaYvHVO23MIH5ltPCbzxPhxf0FTnGBHDVEaZcsB1WIjCEMXm6lRo205YQCn0vDTangL0DXaVpK+FaLbevnHjBtrVseBccKK8NcxktRC3BPIQq0aQo7BfF9JEv/RFnEd8QjyupF5aI+qLjgNz/fp1HdcF4Zy8cEgnTpyYNzRVqggEPVH9MLyhDtiokewMcro0dZIMFuKTuyi6+Bd0erGTIP2HH37YQYfFswSf9p4JpG9m26l6sKLynXNgX8QcjGgIYyZV8I7oi6K72GjRlhzD/pEjR0wiLsb0NUEZxITqRHIVQU4RLAnx6oCSi6IriN26dUtbsiGM5dKnbRuK405TmIHlDV4MBnUZtiV5EJ81IqAzWLgousLIkkPBm9k2hhmZnYRnxHDFNLWuJE99apfkk4NrjOVhUzs7O96HiAmrd0pRq+0whkk++aLUCU44JOXUAO8u80Q4aSMKojZ4eF5YW4X6MIX09e5uxgaMrmK7sQk4CumJr+7W2/FV+krK+Ydsk8p+iTsFCTnCJ3375LLLWr63F8+RCeBopHAXzRFsq07Ze2nhgYVO8QVmvVOxgX1y+crhU0P6WoiWZ2CAz41P5UppomqRmm1o2+ix73jT2yeXBblDLDw4Xd0+uSiAlW3bqlO2bXfqBkQpGi4S9NSsTwG8pmpIv6JtR9pSTLEpbTuGnvIySfPwSs+3y1Gq2kINpQqH7D4W4IkMXGXRtbKlrxlkbIa+VXaVz3EigrQHMTvDcsaWFL++kOLm4xYAnxo8Yh8BKTe0l9EpCBRDlpvIg49s6d/FoOF623bErTHE2lKY0ZqswEdvpGCA70u1ndFpZJUmAfd4r8SjHHFbXSIskT7n7cIZrs3qNea0pSHVPI+MqbQ0lSM9RMAeAbPzbXvS2CIRIAIFCNC2C8BjVSKwYARo2wsWDkkjAgUI0LYLwGNVIrBgBGjbCxYOSSMCBQjQtgvAY1UisGAEaNsLFg5JIwIFCNC2C8BjVSKwYASYx3PBwiFpRCAdAXeznb8VSQev0RrN38eE3JrnkXdOG7VOskUEFAJcb1MdiECbCNC225QruSICtG3qABFoEwHadptyJVdEgLZ9RweYx9PEGJjHsxzGhebxlCif5UFO5YwuMhhQebG58ngK5Z0pxJjH04sDaxI+NU+pvKxAXrirMI+ni6k6GvlQ6sqjC2dLXzNoGcPYhW5dnW1bjUdOqJF5PJ3ShAGMsyNdZo90eXrvdWeYx3M4CWYem3k8erGHvTzEYZzTTnMNCRZ76WQkW/q1bNvNQuuy7bnyeDqh9uWsXl18csM8nuK4jc57qRZuYtva1DvjkzuPYzT59kD4xDzpawa53r5nrjyeowuzLefxRMRf4IOgvy5Tj0tHNYpb7QLI1AnCpJcwj2dk76go8Uwdg17FcunTtsdl0Tk5MI/nOHB3l0jK44l8cqgNKxLw4b6mZkFNJW+4PNIn63xgrnB2Hk9U1JM2ZmlsoWkamMfTVoI2rTGPpw2OKp372bNn0aZM5rM8epkJmzx16pSkXi7J46lHqzNnzpjnq+e8Pa4qlfJ4jnfcVomkPJ4HDx4E98vxw7UokJ0Wpi7ZWrOTb2MC0PnAaoiatj2OapJPfvr06d3dXVFKaLPLyQ6FSJUllmSenzZO64JLJPnkkuZaUufgwQv+xYdL4A9ihYuOJLsgBiYaP3Vjqsc8IRO+5I3SDGK80DmtDaTvFBc9pe46euV1+kK0VrhbXk5PPDtz5fH0Dk69k7C8ndJ4rr2SJoCjEZODaKHNea1WGZTyePTEhEbcBnjnPrk3ALnCoZq5kqGx5ElfM2h5vp2tVZ0V88RgS4Nta8zjaYtnRms1lIp5PJOdqSZ/Rs88nsl6YFqhhlIxj2fyIFtjiE0mwroC83haI5rWXiWlYh7PtBG4xhCbRsHGSm8B8OZ5ZEyljVkt2d0kAjwD26TYyfQGEKBtb0DIZHGTCNC2Nyl2Mr0BBGjbGxAyWdwkArTtTYqdTG8AAdr2BoRMFjeJAG17k2In0xtAgLn+NiBksrglBCQcFR7m+tuS2Ad5bf7O1m11P/CfwjcpeN5La1KsZIoI3IUA19tUCCLQJgK07TblSq6IAG2bOkAE2kSAtt2mXMkVEdi6bS8qxV+ojkLe8tV0Uyn+EMAQQpkyBmumGhjGQvRCYCA8WEkIOyh0WkyN9NLzpvgL6e1MS2abq2wApBLA+9Iepcukt4Yb4DpzrUV2FMmjF5FWq3FfZr+QgLzUaLprHVUyUg00g1ViIboMWwu37Ui84vUmMsVfp1WL7nYGh8Xn5pmxQhoi9b4TjTw9jgRWzMkEgRgeRXt1dxCrk2xM5EMXnjU15OtwesMYEKrbtshM8rxEys9W1WI6nT3FX0hkXyhlIBkm+ozhMalMjN53Nmib4s9qAuwkNYZHlOmzyb7Mfn19pdr2sPXGqAFt+44shsOSd65y+2xM8rZ1+o0x+iQE9dGDOaRklIy08Hg6OwfiPj3WKaY1pJF6L+aksS2ZwEd5HHa5QXP8IDswRnRKRLrWnHpZPmPUQDNYupemE8Fgxb/8XZ94CjsFUJ7iT5JLyOPSSgxThXwaqTlJ4tmsXTIpnUioTvv7+6Bwb29PxAHrOn78eL19LMkx2PeEmf3cXiykmZSuLFSD0fSGqWpQattacleuXKmtKEtuPzLFH5LFuFGjb6RYMptVaetTp52dHekX6GFmQz6dSmRIHrK+J0wPBJ130kxKadSnBi5tUHl6w1LbrgTxEpplij8TKSSl+At7FKuW2XuCR+xTUnaFT3ZmvxjKzdMb0rZ7YU/yyQ1T/IUEwTzmzT4do5p9ZZJ88rARSZrpctmfP38eyxNJlFfpwZaVS8ErXaBTPHhJyuwXkqdz/YXfjqY3TFYDp8HoLHLTZbSY3oJGs3n7QIb09BE8V4q/kJ7hNIkxG6SjQhktUAI46kbujY2SMboVn9eC1Irk0dv/cwocuU/uDcQOmRh9G0hvGKMGmsEq59sl6NcYa0zoyW4kKcVfZy8QWMnmcCTlkXof2doyi5XzGHO+3cc77LZEjjFqQNueWvFKrnbYXrAZ4Lxc76eGNb2/ch7j76V51MWcYA0wFKkGtO10pSirEZniL+xEroWUdR5be7KOYgmqUM6ER9vMfjFcxquBZpAxlSrtyKyv2ebjDUEkzfPImErrMzxSTARSEeAZWCpiLE8E1oEAbXsdciKVRCAVAdp2KmIsTwTWgQBtex1yIpVEIBUB2nYqYixPBNaBAG17HXIilUQgFQHadipiLE8E1oEAbXsdciKVRCAVAdp2KmIsTwTWgQBz9K5DTqSSCEQiID9lxcP75JGItV+s+bvWt9WdOXrbV2RySARaR4Dr7dYlTP62ioCxbSO4LOLyNhbMuLZuIIzW4cOHkyLg1iaJ7ZcgAFHCBCTE2oyPpW1/9dVXly9fnpGZNXaNofC+++5bb/jxNWJelWaYNCKN//XXX1V7iWnc0raff/55BFWuGuc1hqV1lUGIcuC2LppJ7QACMAGEYX3ooYdmR8nStmdnhgTMjsCmkvXOjvYwAbTthQtoZeRhiSEZs27evFlIuqS5loc7OBlg0rYzQGOVXgRg0idOnDAB6Nq1ay5OIJqNzJ1m0nUbjdC225DjIrjA7IpNQSTlwEzbl3YnnlA98yNtS738fvEkraukvW3//fff64JgdmqXsKdqAoIke5Q0GmFan5LEYLu7uy4JngmptRtZhEwN83j89NNPLs36k08+WZhEBujHhG5ee5m3335b0sQ88MADQG9GdkwAd7ZtxYgYoRUyJjwOswa1h/I7smEUVlDEtKMZ5H3y2iP4ato3uWuNRqDc5rn4sNiGT16eBNqExyVLlPHJO6SD9eGDDz6YmiF9VMxo9qmnnvJ0/eeff4ay4m9n9eFvR3tcbIESnxz7c1evXp2LNcm/KQ+UBLLzXG78+84772RsMeCii2gdNETaxAWwsP1Mxg198hifIb7MBO6TI+bPP/9Ed/gLD7kkG5vHHU6DXnrpJc8rk5UL+hqAAt+izIzuXLyYvJJWPjmkIGdp8gANE7c8W6nQOzJygRIIBS43HifBbGGhQagH2sQGJFZkH374oTAboyF9AtIMMo/nbZSgSSaqoxGHayqS8x6sriHLUeOpQdJwp9l6r5u1sm20qTPdWkknm0dn2yBMZgKdebdwawltevtTMHsZSlIf2naHvYnb0weo2yP0vKMB6KGabp8ML1ISFgspRgoMLUw5dWfrfSQ7SyiWzaO2bTCi/xWPL5s7DPTQOqch0o7M5Bltagbtz8Ay1wazVtvb25OZAZeBOwnBLk4n0H1UY+MH4nnuuedwSAv7vHjxoizGrl+/fvLkyUheMQp8//33kYVZbBYEsIkAMWXfHkd1jODvvffe/fffr+mXA7++HZlITs1s22026JdIItortr+/D6aOHTuGv48//viRI0du3bolbGopDoP2xBNP8LLA8nVDG3aqFUBDMGd88cUXly5d+uijjzSz0Jl//vmnhH0z206a1koonqUublwliW1nZwd0jl6lahu0WSQ1QafY0Mam/WOPPRb2lSdQWDgu3n3++ee2xJvZti1Z07c2fJEo1SeHTwVf68KFC+JZ3bhx4+jRo8JU/FT8448/eq7a9LCwRw8BSBMDPVZw7pe58VfQcOKlAzbgHSdnMgdg3n7hhRd0X9CZe++9twh/N9KglYy1e70qU9IjW7L60KWcLzksQbNo3O2jci+tHNiSFvKUCuJzNiZbpHrzDF9F7qVBwdxBF7iAhuAkBdWxbVZjL83yDAy7R6C+k9YMeeSJIaOjiat4u9/QGxlZMBDoXfGVnoFNDGZqdzWUyrNYEZw3poNOuT0RSfDizsDAkgxLX375JXgrPL+pIYZIZKsW0zcTZBrHmCj3H9x5ePZ1iBLKWwVcY1KDR09YmITl+hMsOe8ca+l3VwBi4QWvGmIoUX3DuhAeBnvvBguGajmHk28LR8YMahsGvPbCU+ZkTGkaduh/BqRoBNKPdPJDKeseq/xWBHsDmI5++eWX7HM/kNj8tX5vmwS3iBFqru+AvWhPJa7yFgCfkkfcaMC9ifLft8RJ706p6r8VgZoixF+JYSfx00Bh3GH44YcfXnvttQZ4IQtAAJvn586dgy82Jxrm7go8ivLrtaAqw5/JcESXUKVkfWVI/xYAn4bHWbZLRBMq+uQ4rzt06NAbb7xRPlxN6T6VU5vdAtYv2EKD5za7m7MFwKfhEb/q/fjjj3EfMVsrsivW8snhWGJ/SAwbP0OdPa9CNkBTVsT6BXoghg2dmLJr9lUDAaj966+/LoaNqW7OdDGGPrn+UR4Y87YNU73HadynVKpsy+tLEeA3/iditmSE7lyN9pfQZm2lCvPDZO9458FV0Sc3HAincZ8MCV57U1sAvHkea/nka1du0k8EWkLgrvPtlhgjL0RgmwjIbjme/2x7m0CQayLQKgL8jWerkiVfW0eAtr11DSD/rSJA225VsuRr6wj8D81aIs8/Xw60AAAAAElFTkSuQmCC)
GRAPH:
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)
(Note: a = -1 means, a is negative and negative acceleration is called retardation.)
Question 20.A stone is falling from a mountain. The velocity of the stone is given by V = 9.8t. Draw its graph and find the velocity of the stone ‘4’ seconds after start.
Answer:For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.) Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
From the graph (pt. E) we can see that for t = 4, the V = 39.2.
Question 21.In a election 60% of voters cast their votes. Form an equation and draw the graph for this data. Find the following from the graph.
(i) The total number of voters, if 1200 voters cast their votes
(ii) The number votes cast, if the total number of voters are 800
[Hint: If the number of voters who cast their votes be ‘x’ and the total number of voters be ‘y’ then x = 60% of y.]
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)
Answer:Let the number of voters who cast their votes be ‘x’ and the total number of voters be ‘y’
⇒ x = 60% of y
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ 5x = 3y is the equation.
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
From the graph we can see that for x = 1200, the value of y = 2000
And for y = 800, the value of x = 480
(where, no. of voters who cast their vote = x, and Total no. of voters = y)
Question 22.When Rupa was born, his father was 25 years old. Form an equation and draw a graph for this data. From the graph find
(i) The age of the father when Rupa is 25 years old.
(ii) Rupa’s age when her father is 40 years old.
Answer:Give that, When Rupa was born, his father was 25 years old.
Now, let the age of Rupa’s father be ‘x’ and Rupa’s be ‘y.’
⇒ x - y = 25 is the equation.
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
![](data:image/png;base64,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)
(i) Given that y = 25.
∴ from the graph x = 50 (pt. E)
(ii) Given that x = 40
∴ from the graph y = 40 (pt. F) (; 15
(where, Father’s age = x and Rupa’s age = y)
Question 23.An auto charges ₹ 15 for first kilometer and ₹ 8 each for each subsequent kilometer. For a distance of ‘x’ km. an amount of ₹ ‘y’ is paid.
Write the linear equation representing this information and draw the graph. With the help of graph find the distance travelled if the fare paid is ₹ 55? How much would have to be paid for 7 kilometers?
Answer:Given that, An auto charges ₹ 15 for first kilometer and ₹ 8 each for each subsequent kilometer. For a distance of ‘x’ km. an amount of ₹ ‘y’ is paid.
⇒ the extra charge for first kilometer apart from 8-
= 15-8 = Rs.7
⇒ y = 8x + 7 is the linear equation.
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
Now, from the graph, distance travelled if the fare paid is Rs.55
is 6 km (pt. E)
And the money to be paid for 7 kilometers is Rs. 63. (pt. F)
Question 24.A lending library has fixed charge for the first three days and an additional charges for each day thereafter. John paid ₹ 27 for a book kept for seven days. If the fixed charges be ₹ x and subsequent per day charges be ₹ y, then write the linear equation representing the above information and draw the graph of the same. From the graph if the fixed charge is ₹ 7 the subsequent per day charge ? and if the per day charge is ₹ 4/- find the ‘fixed’ charge ?
Answer:John paid Rs. 27 for a book kept for seven days. If the fixed charges be Rs. x and subsequent per day charges be
Rs. y
⇒ x + 4y = 27 is the equation.
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
Now, from the graph if the fixed charge is Rs. 7 the subsequent per day charge is Rs. 5 (pt. E)
and if the per day charge is Rs. 4, then the fixed charge is Rs. 11. (pt. F)
Question 25.The parking charges of a car in Hyderabad Railway station for first two hours is ₹ 50 and ₹10 for each subsequent hour. Write down an equation and draw the graph. Find the following charges from the graph
(i) For three hours
(ii) For six hours
(iii) How many hours did Rekha park her car if she paid ₹ 80 as parking charges?
Answer:Give that, the parking charges of a car for first two hours is Rs. 50 and Rs. 10 for each subsequent hour.
⇒ the extra charges for first two hours apart from Rs. 10 per hour = 50-(10× 2)
= 30
Now, let ‘x’ be no. of hours and ‘y’ be the parking charges.
⇒ y = 10x + 30 is the equation.
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
(Note: Negative values are taken just to make graph but these values are practically impossible)
(i)Given, x = 3 hr.
From the graph, the corresponding y = 60 hr. (pt. E)
(ii)Given, x = 6 hr.
From the graph, the corresponding y = 90 hr. (pt. F)
(iii)Given, y = Rs. 80
From the graph, the corresponding x = 5 hr. (pt. G)
(where, No. of hours = x ; Parking charges = y)
Question 26.Sameera was driving a car with uniform speed of 60 kmph. Draw distance-time graph. From the graph find the distance travelled by Sameera in
(i) ![](data:image/png;base64,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)
(ii) 2 hours
(iii) ![](data:image/png;base64,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)
Answer:Given that, speed = 60 kmph.
Also, distance = speed× time
⇒ d = 60 t (where, d = distance, t = time);
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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TFwOZFQglsNPyOBBP+EpPEWkIVjAdyME0oYhOq2IQq/aBGJ4mALzbZhCpeTc3UMT7aaXznGU9q8Ayw8ZdQJdGTQPFx5oloRNPVfOZFTNZpKUn8EPEYJdbxJMRTcpJ/+QQaH2hMX/2dkcaZwHgu1EejuFlrMi/DNbGQDhbaiyqNxWer+JeAmEGCPTjiEhKpqrGDOrvbSW11/k9umofSkhPCKtbO7l5q6+imFAazxAQ+tvb0Um1zF7V1djPIx1FeeiIlJSItYWAAQhsNLaDp6eM1IbOYMjOSjHhPTEqmHU2c97ezTQFeenI85XL/gUpzezd/5aEkflD5lpqmTmrh7yHz/MxESkmMV1V6+dPQ1svjjaNku6uN5megK1vxD7REh1F7zksqf5pLY2s3vbSwih56cwtVNnSSh1VWgNoJ+xTQ1SeXU3E2zAfhEdh/F1TT/IoGuviwkTS+KI1eWbyD7npxA22vb2cgJTr/4GL6znFllB0E3N74vIZ+9dw6qqzvYCBMoC4G2fKCZLr2tLF08KRkLcYB5u+sqKc7X9hA66paKYFlMKE4jX58+hiaPTZLafHOsrW2jW6fu46OmZZHZ+xX2PcVQHPJ+ka65ekKWr65WT0kLj6cx3B8OWWncm7c7h6688X1NLYwlS44pJiB1Qu2tkReAhZUIy/zmOlRQNXfi/+21bXTzU+upS217XTreeNpAgMbAHR9VRvd9kwFXfqnZfSL8yfQrDGZAy6PispW+mBlHU0vz6BxDDKfrW2gB/63mU6cmU9fO7KEVm5podufraAuBqbrThvTp+35MrJyazMDcir99qKJNI5/AowBiiZa9vvMx+1PM0jOyKO/Xbm30tZ/9ew6uu3ptXTTl8fTPo7xQwu9/Zl1hAfCl/bO68fOyi3NdMMTa+jIqbn0wLf2oo072uj6/6yhnPStdMXRZayNx9PZBxTRn/+3UY358L1yB1yutkE9CVhQ1ZOTreVHAoGO/x1dPXTfqxuptqWTfn/JZKU9ScGx98Yvj1OA+xKDhz9QxaWOh4/spkW03n++u5Va+Yh84swCBYIfrKhTR+XT9xtBeRmJdOCkbDp2eh4t3tCkwGkia47+ylZ+MJTkJNHM0RnMjzvN74tNzTRnXCadf1Ax5XPfKFccW0rffXgFvb60hmZw2wDrxayF3vxUBX24qo6yUhOVVu8sz86rolQ2V5zAY8IY8Dlz/0J6b3kdrdirhaaWpdMMfogUZSfR/HUNCqyzWIO1JfISsFKPvMxjpkcnqDpfR7Fmeyttb+igL03N6weoMvAJrPWdOqeAbYbxypXH13Tg8SRSQ2sXNbW17yYr1IedNIftsk7gRf9JfOTdxkd1aMPTRqUrIPWCWJkyOqYk7QLGajZHtLOtFKDrr9SzLbW1o4dBNZlNBp2qSlJiHGWnePuhOD2Q/doRJUpDVzQ7C+y5BZlJ6u+w725jk8Qdz6+nkrxkuuPiSfT4h9uVPVgKzA5rWabQvEcXpPT9/RB+OLzAYLt0c5MCVZRDJufSP97ZQovHNdGhk3NiZq0NpYFYUB1KsxVlvAayqX6+sYkBq5dmj8tmjnvYd7Wn3/uJUhkULzm8JOBoOtkP8OG3t9A/3t6qQM9pd21hsDl8rxz60Slj+gG28j5I8LAddQd1MAjtw/ZKKXKZw6d9vqzqpE/XNLCW2kgnzxqhjsr+yurtLbRgXSP9Z+t2euLjSmVPzcnw0NUnlSttkZ0atEryzoskZ+UlrCFvr+ugkWxTRilk7fLPfKRPZOCdV9Go7KWwoUqpZ40fAA/t1NleAmvzTayRw+YLbRdyAvB2MR4vZ3PBwQy6AG1bIisBC6qRlXdM9RYIVLcxYNSyfRCaHfV0U1dnF8Uz4AEcmtq8t+/QMtNYc4R90ldbhH3wsqNL6at8yeSLCQAPgA9onSUBWi//D5dTnXxpU8Zan28BT7+YW0FPfbSdDp6SQ/uOzyIArT9lFZ4C0KCvOr6MLmebJXh+7P1tdM8rG9XvJ84q8HozaBR5WRyAv50v6h7n/pNZNjAroKC9zJ1H9V4AqhNR+Xuff/b1KPWc38OzIiMlgXY0drK222Nk/9UYiq2iIQELqhpCslX8SyDQ8R9w1wdUvPOhUcEN6A8vbVBH24wUD7sYddDsMVl067njaUqp9+gqBWCVxtosProljo/jrR1d6mIsg4EaWp1vyeW/3XzOePrZmWPp2c+q+Mi9jk0Do+hwBljfciRf9Bw0MVtphmLf/MrhI+nD1XX02pIdfMzOoWwGMJ3i9eONJ9ia/8igDE35h6eOob1KvaDqLP4AVP4WFMTVlz3KfayUHygA1fqWbguqOhM0wHX0VsUAd2qbiw0JBNJUR/DlTiYDTgf8O+FrycdRuCT9iIHkeyeUK+3z3lc20cer6xlodocR5XPJNk1otbuBTgCbKuqBDtobAN2f9om/QYtjpuh49gR4cUEVvbqoWoEnwMhZoEl7fPxEoU2W5aXQppp2ZUbQBVVcvAFQ7355Az3JpoQfnDyaztp/hLY7mYzFV1IqqIKZ9rXugnfYlpvau/hbM5/a2FiZgzsKm1BFQ/42oQpvXL4IcsbvIwbcmQNhV25VUpcpAMTPWCPbd1wWJe48qgNY8UHBJVL8LnWW29oFGcBiHZvqmBEpfTHrmCPRkNmcy+15JxYgi0svmBi8gOotAFEcu+FW5a/AAR92VACpL0CjLd+/+cttIJd3oqE++VEl/d+J5XTOgUV99E66QO+ez07jMGAOGKjmIApcrolLF8wc6TymIn6IqUcChsK/4O+4YMvkE0GwnAtuEp14ZQoThfejU9z0Y5ocRfjCmtSN9rIJVfzMniR4kMQYOhMMGiT96Ojo0Kmu6tiEKkSZmZlKZgBTlKamJpWQBIsYf8PvSDKRnJxIs8ZmKveeN9hl6DA+Wu9VltEPhBoZcLfyMR0X4km4yGG7a1NTS1+oKWLrL/tScJsq40VfQhfwk5zE0UUpKeroC1eparafArgRbHAr+4Q2cCDC7ewvOyLLq7mtYV/WZuZj7IjU3bRUfP/0J5X0PN+sf49BUG7RK9mjAZ+pPB64LvWhGP8G2TjXFAAyNTWFunvj2Xd0Mz3H5oZr2Sf2LHaD2lV6WG7tBJsrSlZW+i5AUMbkXhYNX/Kx6WASu329z0EEq9kLALJFefuLOhUZNo35wXGgmx8CbLGmLTvaaTzXz0pNoM4OTnTT3ukXaGxClV61hgCugR5oTpCQJEk2oYof6ASoAigzMna3aQVCWptQpX9ClfT0dHWjr1yZGAQBupCRsh+yEL/LkT63s5P/tx78gqOnRtOBE7NYiYqj+tZOuuflTfQqRzj9gG/SJ430xquDXgpAJime7YEhwkE9Cbtu7r1gH0dz+Nb/i80tyv908khO8sK+nUdPz6ffsf30b+xRgGgjeCbg94KsRDp2Rr7qFtoktGu4XcGWexQ72c/9tJL+9tZmGsHuT+nsSvXHlzdSTVMXHcc+rsncbg9vRmjBiSogIEnJwVmgxz3BNmRElF1wSBHtxxdj8H2FFo2NDC04kx8EuxLReMNpO9kk0s1givHE7zRBnLZvIb3Ktly4SyGKCsEVzzNQn8ZRVxOLvTZpvgukKv57I2vZGBvGEkcpfFLY5Yblu76RFAcJcXQL9g3m2TShDMYoyXh0+oJ8kKQH/ekWUxrRtLGWdUAVfMilI3iD7PwVj46qrJNEwLdxm1BleCRUwbyrozeDq3MtQUv85QUTOEy1mu57bRMDbKfSCBsZhI7aO5de/dlsKs9P6XP5cdICIFX0e4i97qTxHuW6VDABbtcXsmsSQj2h8B3PwAnffYSp/uu9bQpAz5hTSLfwpVXhTs11xdYW+hcHDYA3uEyVMW93fXUSO+SvpTN+t1CFfSK89Pozx9HMnVFQLe09HB1Voeyslx1Txn63/e2y0IThjQDbJi7onmHtV6wNuLj7Fns4wLPA6T+b7IljbRrH/f5ggsiuu74yiX7OQRMn/3qBAuVLjyqhi/ghwaLvK4vXNyle9yrB6SC4f4JNqGK+R3Ww0F5U6T4Gbb3+WpjDphYooQpuzk9nDetLDG6wT2KPwwwHTdAJJAMhWm9e1zj2+UzhkNhUWl/NAQh8WYNjOuyfx7K2etDEHNYCvcZW2HaReARHOTwQ9ipJpxvOGsdO+ruAqLwgle75+l7sVeA1eWA8iXFsS8ZJh7V02GiP5nDSNm6zg80MSVAVHQV93MLeDTeePU6BKTRbKfgVMvD1Y4U2+/C3p6qHgG+Zwt4CD1+xt7KrQpbwovC9YENY7GyO4IK/qi2DIwELqoMj9yHfq1wkODVVf4Pq7e1m2566Qgr7mAWzvsL+rfdymOx/WUu++NCRCngAlZk7b/6FkdZW2HHj1fEbN+YZfo6aqQx8+EhZu3YdH0vTqbi4WIHkBrZfFmUnMkjvvpUAfF63MO9R3vsJXnAJhuCIzo52tv337nZkdl72OVsCXM/jHAc7+DLrOPZscF7KherTfj+wErCgOrDyHDat7brtD54ztqPDm1Xe1Aa3J4LE0f2wKbkqkQoyQwWK7ZcoJJO+cLGEMFoUhLLGxfVSMd+0BztpNzd7s/gHssH567+DAyYSETyhWZCl6sX57B42KYf2H49INlsGSwIWVAdL8kO8X1xuiJuVvAUgmoYEP1SYHXyPxwPJI1ydoAn7Jj8ZyD5020IU2o9OG61yDEQDP7p8x2I9C6qxOKthHJMXSHto86YNtHbVClq/bi2NHVNONTuqKD9/hHbW+TCyqJrGMTpQspSB6hu2WmeilIFq1207adBs9ZVbt91YuhASsKBql4i2BHCEbaivo2eemUs3/+IOWl2xhTxp2fTK+0voibn/pR9f8z06+phjd3Mt0u7AVtwjCTS3tCrZm7hI7VGHltivBCyo2oWhLYHcnGx67bXX6eO1zdQx7mxKmsq31Ay0XW3NtGjLx/TtH/+arr1iA1122beMfBK1GbAVrQSGgAQsqA6BSYoGFnHk72znV1J7Sqlr6tcptWhyH1tJSenUm3UGVa/NoYcefZ7Gji6jE08+NRrYtjxYCURcAhZUIy7yodnh5k0b6f1PF1HcpKMopXQm9XY2e51OdxbkbE4ddzgt+N9H9NKLz9IJJ52s3JVssRIYbhKwCVU0Zny4J1TB5dS6tavpi61tlFp+BLtdcqy6bzKNHnYvSsqgpJFTqKphC23dsoVGlpQq53qnT6uGuPuSdTgTtoSik0QaJjSmiT5kHUQyoUg4x2M6fpmDSI5fJ+LTyZdNqOKzUyAQ0+QoksxDV/g2oYo3NM+ZHCVUtqEMjo2uqalV6fgScjhSh00B/gsnpkhMVblTa2t2UH7BiL6EFbpZjcBbezveeKqfCQk0sm4ExEOBsBsaxKFjvUF2koxEpx/UFdpQskZ74A00uBhEpJgJDWLTcVGlQ2MTqtiEKn7XLxY5FqFJchSbUIXj6nduWCSTCFUg39Gjy/n1zKm0tX4LpY6cykmRvJmV+pd46mxiMC1PpFGjx6ibaCSeMHX+l+QWJgEDkntgV3KSUKPalbPAhAZyw7hMeAMnps7/oAE4+iZpCTUq09t/m1CFQ5ZtQpX+y8pNUgi3NKJFhFrY8r3bfgLF0gfqNxL9TJg8lROJZNM7z79NvZOP5qhTjiriEFRJfxeXkETtNRUUX7eSpkw5lNPYeaN6nAkoTOQWrbIWvnRPRs760UbjZt3E0vjdzI1NqKK7i229kBJIT8+gyZP5xv/ev1LP6heop+wIdq7nzFTxnAKP86F2sh21dfF/6JRpqXTmWeeGbM9WsBKIVQnY2/9YndkwjAsJnooKs2n/zJX00YJF1Ja/L8Wl8FtLW6qpZ83rdOSkNPrZT39JEydNCkPvtkkrgaEhAQuqQ2OeooLLxsZGOvKoo+iBP/+Jfn/3H+mZ51+izSuqaPrUSXTJLZfT8ccfR0XFI6OCV8uElcBgScCC6mBJfgj2KzfKWdk59K1vfoNGFo2gJUs+p2OPPZZOOfVU65c6BOfUsjzwErCgOvAyjXiLMJ6b3hKDSd1XSDgHJH6TSH+XnMyv1eDcomlsb7WO/hGfdtthlErAgmqUTowJW/CB3LFjB7W0tCh/yNzcXOUmIgV+n5WVlcqtZ8SIEeonQBjuaNXV1dTc3KxosrLYPqpZQNu504fSxEFds3lbzUpgyErAguqQnTov4wC0VatW0W233UYffvih8m285JJL6Oqrr1bACQfvRx55hH77299yar58+tnPfsa2z+OVlrp8+XK66aabaMGCBXTuuecqGoCuTnEmqXaj8er0YetYCQxFCVhQHYqz5uAZWubnn39OJ598Mt19990KYB977DF64YUX6KyzzlI/P/vsM3rxxRfVdy+//DKVlpbSyJEj6amnnlL20HvuuYcefPBBuvfee+nnP/+5lllAQhx9X/g3xMVp2bcS2GMJaIGqaCImGolsNhOHZzcb1C2NyVggZZNxyKygD9N+TGnwaufTTjtNHftBO3PmTHr99ddp3rx5dCpfHjU0NFBJSQmNHz9emQTeffddpZmiLo7w++23n3rf0tixY+mdd96hLRyzX1ZW5ndhOYMSJA4eP4O9RljeDmCyUk1lhrYjuQ5M14LpnMp4TOVg2o9pfZnDSIwffZiO35RG1rNJPzpY6EHMdKiCWGdoJhLDHKo+vkd92PKw4XQnAUdZ0Ji8H9wNDcAE/ZgIU2SgIy+RD8JhQWfSD2K3QacrM7SNI7/U3759OzU1NdGECRNU37Cz5uXlKZYQyovPxo0blaYKORQUFKjvioqK1DuUYHvFd+DDWdCP8IafWAtSBz8lXt93bTjj+HXWDeqIjHXi16VNZ+y/ST+Qm4lNGHOD8ZqsA9SV2H8T3tCXScJp9IM51d0/qI+x69aXfY11ZTp+zGWwh6+/dWMK+rKndfebG4ySXAzBcj94Fi9eHHKepXMcM3U3u++L4UJ2shOIQacrFJnkSNBgsUKgOvKSsYoMwjUebAjEoOM4D+DEQp87d67aWLCRAlxramr67KSSJwE/a2trqa6uri/xhmh64Lm+vl7ZW52bDRrxtm3b1HcVFRW0evVqRY+FvHnzZlq6dKmSj29xIwMBORO5SXYi3fUJPt3QAFCg/eOCT7e46ScSNG76wHyvXbvWCCDd9BMJGrcYBRl88cUXAbHQM3v27JBrA40AUHG01H2qQSjQknDk1F3o2Ox4ApgkR3FDg80PADLpByC0fv162meffULKSyqIBmfSDzYt6HQSnUg/mBMA6AMPPKDADXZR0EM2uJzCTxRoClhIqI+/48Zf5gZ18B3+jb/DLOCcN/wOMwJAGqYEtAVghRxHjx5NM2bM8CsXfG+aUAVrAMUkaQlowKNJchSsTwC3Cc2KFSuUbAOZSPwJAXZv04QqoDFNqAIak4QqWDOmCVUWLlyo5htrRLegH/UacF53ugU0mH8T7daUBusSMkPSH90HOPYmFKtp06YFfDsujzP0QOWpgUnWHaRsXpPjixwxdXiSyXFDg81nckxCX+AJdCa8iTZkQiNHXhMaaI9//vOflSZ511139blGYbFg02zatEmJC4sOUVFT+TUoAEiMB8f98vJyRYuHJ+yr+Lu/eRNTDn4Kf/gdGzkQv5KGzmQ80rcpjen8yBthTfoRG7IJDfpBfVMaodMFItQ3oTGtDz5Exm7Goosdst9kfnTHD57c0ugqfiKDYHIOjajcimx0ExuXMx+mLsO6OTedQo4kje7kSr1I8IYnJ1ym5s+fT9dcc406mgJk4XOanZ2tbKa4tIKGgWMbNMdZs2ZRYWGh0h4++OADVRffjRkzRtlTAxXn/EveUufllT86tzJwI2s3NCZr2jmvJn25lYEpb6b9mNaP1fHLCU1nTnWwUAtUdTqzdQZHAtA+161bR++//74CVoAdjqeXX345XXnllcoDAHUuuOACZVuFaQCaKsDwnHPOoRtvvJH+8Ic/0EUXXURXXXWVtqkGi8uN3WtwpGR7tRKInAQsqEZO1mHpKScnh2655Ra6/vrr+2yn6EjskTgSXXjhhQpcYSqBfVdODpM4m9Rf/vIX5SUgpgJdJp0XULonEd22bT0rgaEsAQuqQ3n2mHe5nAl22QJbFsDXWXBZJ1qtyaWY8wgomqqukX+Ii9qybyWgJQELqlpiiu5KbjwGxEXMTSIWSMONO0p0S9FyZyUwMBKwoDowchx2rQBUxe/VHv+H3fTbAQeRgAVVuzxcScCpqdrjvysRWqIYlYAF1Rid2HAPS27/cRE2VEE1OTGe37OVEG5RqXd5oS+T4omPM6lu60aRBCyoRtFkDCVWdG2qYhro7O6lxlaOZOvs4QuyXjVU/DeeXbvyMxMpxRB0TGWF/ls7uik1KYESEzj4g3mobomjto4u8iT0UF5GIn9nBny+PDS3d6vx+LYTn5hE2xo4Z0B3m/q+IIsTfHv698XWFKpu7GAeezjAJo5yUj2UnsRvrOUC3lu47fRkDrrg72yJbgl4dJJJSB381KmPIYtzuNwQ64jBSaNT37efcNEAGMTpV3f8keItUv1ItimnHJxzG8iRHLJLTvbQZ2ub6IbHV9Oa7S2Uk+YFCwAbf03nH1RMVxxbRhkp3jBa53ozmVN/yVFEi35xQRUtqGikrxw2ksYVpdJ/F1TT3S9toO0NnCyIOzn/oCL6zvHllJ3m6buE8+1b1oFzrPLQqGxop9ufWUcHTsiiCw4Z2RfyizE+82k13f/aJqpp6lTjvfTIEvrml0oVSIoc3lpWS3f9dwOtr2pVwHv5saWqXkpiAm3a0Ur3Mf1xMwromGl53AZk5H0wOYvITneNmtaXvpyBPTrz46Yfpx+0Th+oY0oj49CVl+w1+RmIzoPY12AFiwbhixLLj+OeTqQH6ksmG92LDKHRrS/hppKhSEf4oJHsUTr1UQcuSZKVBj91JgH9INoJHycoh5K1ZIKSRRKKR+lHkpnozA1o4DEgOQF0aJBQxUmDuHnJ2IP1gY9vZivhPSkpTWmo8Xyk/c7xo+irh5X0DauCQeRXz1bQpv+00a3njqe0RG82NBm/Dm8YjzNLldDg7xkZaVRR2U7vr6ijOWOzaGxhKn28uoEefGMznTx7BF1yxEhasaWFAbGCeno30I9OHU3xPZyFqr1jt0AIyTQFOUiugdTUZKpr6aFfP7ue5n5SRfuPx9sTeqmrs4MSWdN8f2UDPfLeVh5zMZ25fxEtWt9It8+tUEB+JQNnkieB3l1exwC/kc5jYD9lNkfAMfj/gQE2n7Xncw8spvKCVNq7LIPr1dKkkWk0Oi+B82q099uHGKtkDpPQ4FBrR9Y05k1XzpJrI1iWJt9+pa4udoAeNODJxLRkSoP2TWhkr2H/y5j8yc2jk+xD7GbwZ9SN+RUtxulsHmqS5TZZhydpyw0NwAAbxKQfSe4AJ3ndIglVTPxA3bhHuaHBPEIOJrw5Y/zhFytx4BI4gDwDvsUL9t6jLo7d0ARz0ndZnWalZ9IVx5TRHxhUnvqkki45fKTiCYvVmVAl1IPWg2Qx3Ievv25vbxz9452t1NHZy5pePts34+gDBtjinCQ6dc4Iyk1PpAMnZtOx0/NoyaZm2ljdThOKUxkQdx8LxgC5QQ7gDVro4g3NdNvTFfT2sjqlaaN99h7mGPQk9fPZTyuVaeHYmZzAhsd95NRc+mhVHa3jh8n2+k4alZ+g6hQyP8cwD+AH2uhna+rpkzUNdPCkHK6TQifNKqCbnlhDn6yup/IDCllG/i13JglVMB7ThCrYNxi7SbIb9GOaUAXzj3Vlki/AlEYAEetNF7yxp1E3WLCMJ9RihUCkTqg4b+eGkrpuaXSBy9lPuGmcstDpK5K8mchZxuGGxjluLEq0ESxBtO/6AhD5lkMm59Dz86vp9c9r6ORZIygvNZ46unr61h0o6lq62CbbrY7PvjzgiJyVwslEGLR9+9tS207rq9toRnmGAjeUq1hbVhvdYcetbOhk4OXcognxIUN1RW44zv/uhfX8oEikOy+ZRI9/uE3ZRFXZyShsoF08Zue4O7owIk7OwwDc3NZNNc2dNGdcFhVmAYi95YAJOfTQW5to1dYWBar4rnxEqgLagybmUFn+7qBvut5M6wtvbtZNrNDoYKG9qNJBR1tnNwk47Vc6D+ZgIkziS5tyBgnYEyvZxjkiM4mP4LsoOrt76OG3ttA/WeOECcF5MY7Lp8P3yuFj+xgaw6DjW+ZVNKiLnn3GZPZ9JWDaww+FmqYu+pS1wiUbGumMfUeweSBFe7Zx4XTvpXupy6MlG5uoi/vxLeccWMRa+AZ6ddEOOmFmAX2+qYk+XdvIWnIBa8vJtIHtpTCN5LGG6tVyvQXJ43bw5VZ1465k4fuPz6a/vrmZVm9v9guq2ozbimGVgAXVsIo3dhuXS0vT7OyBJFKYnUQ5rEkqjS4Or6HZVTORtUeYCL5+xC5brHzby4d+fJ+S6M3g7zzG4UZ9PgNYF/+9LG93zQ6Aevsza2nux5V0MAPzbNYWAbS4KNIpqIcjP0ov843+fAtsod87YRTd+eIG9clh88c3jiqlcw4oUsosPy/8FrTl21x5QbLS4LfVd+iwZ+sMkgQsqA6S4GOl24ECVQUifcDUH9TwL7gpBXN56u7qVADlBNW2zm7aUtdOGXzLDrct3wJzwG3nTqAbzx7HN/SV9Ovn19G3jxlFh03JMZ4eP3iqHhAPvrGJ3v6ilq44uoz25UusSgbE6x5dRWsrW+mGs8YqkwWKPxhHm852AchJnjjWYDFWfj2J9WU1nqdIEFhQjYSUY6gPAS3vTSg0pl5K4uTIe1pw7G9g+2IS7Jw+Kh/+Wc8+rvBz9QUgKLYAW1yAJTLgOIsCJf4PsMef8hnPvKcrTTOBjuejOey6ry6upoMmZSt7554W2HNf/7yW9h2XSV/iyyeAIC6izmYvgP98sI3NAA3qNp+tuLtppehefRxMQDOGzXYH23JhEolE4MKeymA40ltQHY6z7nLMAqT1tTto2eeL6YtlX1AL52qdNnUvlas11cAzwslCGwPFtroOGlOQoj4Aa9gn5Q0AnXx8D25TzaUfnlLO9tD+nhkCTNBguQlVALJ1LZ3KZJCWxGDGX6g3GbDGCNCSei5F1I+sG2NgJsryUvpplZMZSPEw2MqgO2dsJqUkx1M1AyV8T2EzRmlnb4UC1q5HsFlESjc8Ijh4oYAvrWCHtiU6JWBBNTrnJSq5gq/qvE8/o/O/cim98/ESSskvp3eXzqNn//chnXXyMfT9qy6ncRMnBeQdcOEvIujNpTXKV/T8g4uU1un7gl8dm2oi32zBfcvp8gevAADa0s1N6sIHx/22rm665am1SuO79ZzxfaC1eluriloaM4LfpTQAWiqEkMjAh2P6uupW9ZCQsYOX3AwPFTFgZqR4+GIukRaua6SNNe00mh8qKPCrHcluVhMZgKXUNfPbeflSq4Bpde2+UbmQYpwpC6oxPsEDNTzl9M1ot357JzV17UuJJ1xGceyvmcgH1MaGrXT/Uw/SymWL6Y/33EsTOfm1b4GG2MqAAI100w7va9FxPF9X1UZ/5Zv9KSVpdBr7jaq/+xz/dWyqbW2s3fbs/g6xOXz0XsFuSRu5Txy1AbTHcmTS79h++vd3ttB5BxczX93097c3UxHfxh89Pd+rKfKFEEAWmqFOCC00T1wiOV2nSnKT6fh98ulFjt6ayzbbA9gfFiaBu1/ewEEC2eqDcub+hXTzkxX0yLtb6WKO+FrIAQKfsuvUpUeVENqQAlkl80MHXgO2RK8ELKhG79xEFWeffPgePf78G5R8wDcpfuwxlNSL87TX3zK5YDzFHfZ/9OoH99Ff//Jnuu2Xv+nntA2QzEjBDX08g9dWevKjSjU2uWyBw/+3jkZ0kfsjLXDYn910Nh+vn+D+oAkejRBP7vcEdsTn07+KWvrne9sUGJ65XyFdfXI5H7m9x21ozn99azMHBeSz72xByLlIZnsuPBjEGwAE4AfhqAg0uO/VTXQbR22hr4sOHakiy7z2XOLQ1hx1afUbBvpH2dYKzfy7J5ap6CqnZReO/6WseU8o1g9ACcm4rTDgErCgOuAijb0GAYrvv/MWLaxop4LTTmEDJftO9npfe+0tHEGUW07pk75EC1YuocWLFtCs2fuqb+DmBC135uhMevS705XPKNyW+igZNXA7H66b7KLsZJrIEVLrWcvDzTuAD6f74zm66lAOOgA/eDakMQ+4WZcytTSdDmBNUuLzQ83qPmOy6K9X7L2b6QCmhNPnFDKg86vCdwY+YLxOMwjAFwEQ/x7D8uHAALiToV+nTKDhbqppY74L+mmvofiy30deAsM2oYpJchhMi9uEKqb9SH2d/AKyXMJJg8up2h3VtLGynlJG8rE+gZ/DnG2pf2EgANBmltOK7UtoxfIvFKiCL8kPkMRx8Kl8MZTq13nIC77O8Qgg624JCYv2lRsufpBE5Z5XN9J/F1bThYcUU5JyY+Kbf6WUwjUAGuOuRC6gQbQUPA6QfAW3W3gQSA4HfwlFAIzwlQVA+/LQ091FmciAFQ8dxvtA8a0D+nS+sCJ1sufcDO1t1M3+upAbWyfouXlV6ti/3/jMgAlfTNeBaX2ZC2fSG535cdOPaXIU2aMmCZxsQhU/s4dFDi3IbUIV3UigPU2oIhmeQi1ASdgAIJINHC4aSY4Sqh/cwOO11y1t7XzLFMyWx6DjSeRba1L1cauOpCtItGKS1Qj8uKHxl1AFskPMeRmHeR6+Vy7N50QlCFkdX5BAza0dqh/0h/h3eWjiZxYnYVnH9ZDQBBdX3d2d1NLarkwaWG+SUEUS0gSbI7SP5BugRVy+buISocnl14xv2tGhbMLQrnH8b2trZR68iXqk4HfIAGtHN6EK6gOE3CRUUbkPWBY6RfqxCVUc0rIJVbxvJ8XGGI4JVUrLRtGoohzqaFjhXRXYzL7hQ/EMqPXbaUJ6N02ZMpmDouJVYhTIzDc5SqiNKL6wJkk7JP+Ab0IVAR7YUWFTxXEcx+uMDDYD8C/47PbSRB4fXJ1gjxVPgIydeQOcCVVCjcP5Pej8JZwJ1gbAMY7lB4+An581rs/mnJycwm35D6e1CVX0k7DYhCoBVp+bpBBuabx4ou8U7rafaEs+kcga1j77zKLcx9+n9o3zKaV0Omui7IgvwMrH2m4+4nZtncf1uO7s/XZi764EJ6ZyG2hZwwUJl0m7NDvvXAaSta+N11crNB2P2zkFvzBHJDvcvAL1bbreTOs7teJIjT/a+hF+gs2nvagyUTeGcd3Djzyazjr0v/TAk3dTz1HXUFJOGW92aKE4PnJu1XVv0f55lXT+Bd+hrCyvq5AtVgLDUQIWVIfjrLsYc05uLs2YMYtS/vko5a54kBqz9qautGKiLn5FSNVCmlPQQT/90bV07PEnumjdklgJxI4ELKjGzlyGfST1jY100kkn0i233Ey/+s3v6IOP51JpSTGdfflJdNaZZ9KoUeX+nUXDzpntwEogeiRgQTV65iLqOcFtbxLflO89bTp95aLzKT83i2bOnEmnn34G5eV7I5FssRIY7hKwoDrcV4Dh+MW/0sOvC8ErR5JT8OqRXUk/DJuz1a0EYk4CFlRjbkrDOyC5/YQ/JABWfFDD26tt3Upg6EjAgurQmauo4tT5xlITt5eoGoRlxkogDBKwoBoGoQ6HJp2gqvsmyuEgFztGKwELqnYNuJKA2FZNndpddWaJrASGkARsQhXNyRquCVVEPJK/wJ8cgiXYELuraYIY9GtKA4A3pTHpR/IkmOQykPajMbGOm0QnGI9NqOJdm4HWmqe5uTkorEiCCzSABBm6SRFQH4kUUHRtbkKjWx/1bEIVvCuqUyXSkE0f6jmBeroJVaQtZP0XGsgcyUgkCxWSf/gDJ1k7JiDkliZQQpVAskA/pjRuE6qgH6HVTagiyVEky5fOnNqEKq0K8HXNUaiLtatLgzWDvYZ1DzrsA3/z6cnIyAg1XwpIwSgSZDhfVxGMUFJwoX1dkASTqKvDk/TthgYLFYvcpJ/hnFBFZC3JOiA7JPuQZCQAXHznrwx2QpVgaxRrzW9ClSBEkU6oEkiugVi0CVVsQpV+a8NNgodI0pho3VLX1OYYyfG44U0mzHlRBeAMluTDjdzc0LgZjymNc15DaiM7K0TrnLrhK5bG72aP2oQquqve1jOWgL2oMhaZJRgmErC3/8Nkogd6mNZPdaAlatuLFQlYUI2VmYzwOJyaqu7FQIRZtN1ZCQyKBCyoDorYh36nTk116I/GjsBKYOAkYEF14GQ5LFoSQ70F1WEx3XaQLiRgQdWF0CzJLsd8XXc5KzMrgeEiAQuqw2WmB3icVlMdYIHa5mJGAhZUY2YqIzsQC6qRlbftbehIwILq0JmrqOLUefsfVYxZZqwEBlkCNqGK5gTYhCrxfXHOCA3GR0qwRNU2ocqu5BumyV7CnYTFJlTpdZUcBuveJlRxACcuVhD7j+QgupcsCMOUBAr4qbM5JPkCEjBIhqdQ+C00pslRIplQBbwhCY8klpC+JXmOc4xuk6MgWYtpEhbT5Cg2oQqphDJYy5hD3UQveJhiDyAXhvPBGmxtSz+6yZjQlkmiE+nblMYmVAkwazahCqkHBDYGEt7oFixwAKQJjSTrSEvzJq3AJyUlRSVXCZRoxyZU8c4I5JPML000KZCrTaiSoC0ygKSsTR0ieZBgD+gGsIiShH4CzadHR1vTSSLgOwhnsgadPkDvJsFDJGmER50JGwrjMU0m4pxHSZcmi9EmVAm8KiK5Rk3m1A1fznU9HPeBDhbaiyrdlWHr9UlAkhSbbGArPiuB4SIBC6rDZaYHcJxi7wSo6h6bBrB725SVQFRLwIJqVE9PdDLnBFVd0050jsRyZSUw8BKwoDrwMo3pFgGiAFW5ILSgGtPTbQfnQgIWVF0ILVZI3B7dRVMFvQXVWFkNdhwDJQELqgMlyUFuRwASPoEAPfgRokCjrK2tpcbGRvV3uIGMGDFCuergu8rKSmpqaqL8/HzKzs7WGoXzosotMGt1ZCtZCQxBCVhQHYKT5suyvIxu2bJl9J///Idmz55Np59+uqq2du1auuGGG+jjjz9WfqUzZsygX/7ylzRx4kRavnw53XTTTbRgwQL68pe/TNdccw0VFhaGlIi9qAopIlthGEvAgmoMTD40ToDnHXfcQR988AHtv//+faNav349jR07lm6//XYqKytTETTQUjdv3kxPPPEEHX/88XTffffRAw88QPfeey/deOONIW/0RVO1x/8YWDx2CAMuAS1QlSOeyVEPdU03ndCYjDJSNG5sh5HibePGjfTII4/Q6NGjacKECYQwTyl1dXXq6N/S0kL4vaCgQGmsVVVVCmDnzJmjtFMA79tvv63AdtSoUX6nQFyo5LJKx6VKN0TX2aHJOhM607UGOjfz48Y3100/kaBx0wfkZroX3PQTCRpZvybrTQcLPf5itn13lMRiY2MGCkf0pcGGRSyuyWKXuGJset3ihgbhmRiTiTBRH2PSkZfwjpA2hJCa9IP6EvsfSgbQGLEwoIFed911tG3bNnryySf7chOAX4Dns88+Sy+//DLl5OTQVVddRRdffDFVV1er0FaALAqAFfZW1C8pKdktNwLGIHH+WAfgEf3jb8Fk4ozjDzUe+V7a04lHd9JAFjp5GYRG1qcJDcYdasy+40Q/WNMmYaqgQT8mYaqgAX8Ib9Upks9Ctz7ahKwwpyb7QPJl6GIH+gENigkWmNJI7L+OcuDc06DDHggYprp48eKQ8kcjEOTSpUu1n1LOG+KQHeysEM00AG8sWB15yXjDPR4scGyI0tJSKi4uVhvQCRCSyOKb3/wm/eAHP6BPPvmEHn30UQWgAO+Ghoa+RBry8APP9fX1yt7q3ASZmZkKtGtqauiLL75QtGgDWjJipyEbf8WNDGQMJg8j0JhqkW5oMGZo/ngo6RY3/USCxk0fwIGKigojsHPTT7TSCBZifwTS2D241AhVsJCWLFlC++yzj7YwIRSgOTac7nFBtM6MjIxQLPV975YGgGOSTAQ36LBPQga6RTRik36gneCDhA06BbKFDMTO6aRBG1deeWWf/A855BD69NNPaeHChXTAAQdQXl5e33fSBoAsNze3n10WbaIfaLDIUDV16lT66KOP1IN2/PjxNHPmzIBZjkRTReIV3SJakCkNeDTVBjFeE5oVK1aodYPTgW6RE56J1gkaPDBNtEjQoA9djRBzibHr1sd4sXZgZsIa0S3oB3NponXCIwUeLOGkwZ4Bb9gnug9w7OlFixbR9OnTA54iWJ6hzary1EBd3UGCYdQ3WRRyxNThSSbUDQ02H/ow6Qd1hU53MaEewMqkH9HsTGn88YQFAICSRQOwxiYCmI4cOVKNZ/v27VReXk5bt25VIAmNN9A4Mff4TjJPQfaY32BrQsDaZDxS15TGdH7QPsZg0o+M34RG1lq00bjhy+3eMcEOrGXBDl2w21MaXcVPFIxg+BEaUbkVsW2Z2LgEHMTupwNEQqNTV+pEksaEL9SNFG9OWQBIJc8l7KNPP/00QfM/7LDDlJa6ZcsWdeNfVFSktIf3339ffQ/vgXHjxilQDVRk/iXxtI693K0M3MjaDY3JmnbK2aQvtzIw5c20H9P6sTp+U4ySvR1oDWiBqskCsnUHRwJyMsBllJgbAJzHHXeccqe69dZblUb6s5/9TB3f8WQ+99xzlQvVPffcoy6vnKaCQKOQm38Aqw6oDo40bK9WAoMnAQuqgyf7AetZbmShZV522WV9dlKAHpz877//fnWphCMLTAFy1MF3Dz30kPoO9itdm59oOKYXQwM2YNuQlUAUS8CCahRPjilrgWyKAEwJW5U2YSYAGPv7LlS/cilmNdVQkrLfD0cJWFAdjrPOYxYXMV3t1Ckmp6ZqcpEwTEVthz3MJGBBdZhN+EAMVzRVe/wfCGnaNmJNAhZUY21GIzAea1ONgJBtF0NWAhZUh+zUDQ7jztt/k/C+weHW9molEHkJWFCNvMyHfI/OiyprUx3y02kHMMAS8Ogkk5A6+KlTHzxKXYnG0uHbSaNT37efcNNIf+Hux0TOkZKBZJsCoEqUlLhmBXMil0AB3XXjlLEpjWlCFee61p1TGaspb9E4p272m3O96crMTT9CYxLpZEojyoHpXIaSgQexr8EKBiUZmiSGWSfSA4wiRNLkMkNodLUfiXtHPyY0cCeCb6buhCEME31IngGdSUDbEscvgBRqEQqNZKnSkbNbGoxf3jOl0w8SqkgGLcmGJP6xkI2/hCqydpzRdToycGa20uEN/chaExDX6ceUBusAMoMcZD3o9iO0JuOBTCUbmG4/kqVKpx9JuIN1qlPfud90xw++pR/4Sev0IzT4qbuv3dCAF8kzodOP7DWsMcnw5W88Hp3kJRIjjUgd3fhl0VDRvi54ySbX4UkWmRsaLDwscpN+JLmDbqIT8IfFCoAwSaiCDQu6cNNgHiEHk36QNwCx/ghvFZ9YyCNY4hPJE+DrJxsMJGSBm9KAJ5MkLGITNqGB3OCGZsIbxgo6k8QtoIGsTV3eUN8k34bMaSjQlu8xn258myFjXexAXwArrC3dXCNuaAQQsQd0QFX2NOqCt4Cp/3QAT+qYaJ1S1y2N7iQ7+wk3DdrXkZfwEUneTOQs4zClccpXwlRDBQA4147J/ESrrJ2yMxmPqawjsXbc9BFL43ezD3Sw0F5U6e4MW09JAIvKulTZxWAlEFgCFlTt6jCSgNM+KsdnowaiqHJqEr9hgh8S4S7oJ96j/zaLcPNj2w+vBCyohle+Mde63JiaHAOVgb+b3yjQ0kWtHd3sGbJLLL3kfSVMTpqHsvkz0KW7p5ea2ropyRNPqUnxqvnqxk5qbPW+DiY9JYEKs/YMW9s6e6iLx5eWzO9lc4A0/r6D+8LY2cJOI7LiKD15d3CtbuS3CbR2K3wfkZWk6sgxs6apk/lmO+ZO3gdaPra9gZfAwK/igefRthhFEnC6T+loqrhoSEyMp0/XNtL1/1lNFZWtDKC73qHUw8CWmBBPlx1dSl8/smTAR/rx6np6YV41nTKngA6YkE0f8b9/+/x6Wr2thRLi46g0L4WuOXU0HTElR/3btAC0f//fDQTKy48t7RtbCz88Hnx9Mz32wTZq7+J3GrV305n7FdL3Tyqnouwk1Q2g9vMNjXTr0xW0dFMzoa1zDyxSdfIyUvjCspfueWU9FeUk0VcPK7HAajo5g1TfguogCX4oduu0p+pqql6Ni12eOvhNEAye3zthFH318P7giRrJDLwDXXawlvf8/Coqz0+h/cdn04J1DGBPVdD+E7Lor1dMVSD6x5c30q/nVpDnrLF0+BT9V4SAVwDl4x9tp/tf20Rn7j+C2/OOAQ+K+1/dSK8tqaEbvzyODp6UQ1tr2+kH/1hJv362gv82Xmnlq7Y20w2Pr6FDud+/XD6VttS0008eXU0Pv72Fvnv8KEpKTKBzGGTvfWUjvVdYS8dOzx9oEdn2wiABC6phEGosN+nm+O8FYHYRSoijzFQPZfEnEuXpTyqptqmLvnZEHgN6HK1kEJs2Kp0uPnQk5aZ7teVLjyqhResb6dVFO+jgiTmqXrAC95vU1BSqbe6k3zy3jp7+pIrqWjophc0LQglzw9a6Djp59gg6dkY+JfDgMeavHFFCj723leZXNNBRe+fRi/Or+WGSQCfMzFffZ5V66OwDC+l1BuNlm5tpn9GZtFdpOpXmJ9NCfiDsNy6LcnbyHQn52T7cSSAyq9sdb5YqCiXgC6q6/n0yFBxxTUoza4OwK/qjg6aZl5Ho104JYFvGR+rinGQaOyJVdXnOgcXqA3CXkpkSTwVsx4QW7fVbDA6q+fl57DvpoT+/tY2WbGii288fz9owv+6b7abi95iZ4uG/TyAP8wdAhd9xYqKHSnOT+aHCAQQsA/S0trKNQTONxhTueiniQROz6dlPq+jzjV5QRYGm+9c3N9N8BtYvMRjbEt0SsKAa3fMTddz52lSN/HZ5NE5ACzY4ue95b0Ut/eG/G2l7fbuyvUoBiBWzrRH2RxyLfS/xl29pVtrkQROz1CUVir++v9jcSuurWmnGqAxK3FkvGF89DIhxcT10xTGldDnbgbv41u25z6oVSEoBL8mOtsRW++HKOupgvsvyU6mjq4ea2e46IYMTiLO2KgV18SCpamhXZgRcfEG77u2No+WbW+iIvXJd2X6jbiHFMEMWVGN4csMxNNOLKifQdDEg4ViMyyopAKNsPvpC43QCo1IauRy9dz4dOjmXAaa/Domvca8k4IX6TvpFrNXV8w1/aZ5XS/VXAGxPsE0UmuN+bGfVKdu2bVNRaKV8LEdpaud8GMJsgAbiWbP9go/zL7J995DJOaw5pyhQ9Vf8NZXLF3tZaQlKY2/t6KEM9liwJXolYBOqaM6Nm+Qbe5JIQie/gLAeiX4kfwH6kre1ysVVMF693/FroPnIjSP5n/hS56mPKhXrytGINbcLDymi7/IFVtLOY7kzCQ/oPOxBEKr4+s9u4YshaLYjsmA77WU3Lq/rlmjWALUH+Hb+rWU19B2+FJo9JlMrWRCO8vIqGu/4+3PmLzBiY00b3/CvpVx+cHzlsJHqUg5aKooYG3p7e/j3XaYHZ7vx8FJg00FlQydr312Uwa5b/oDcdB2Y1vddb6HmZCDWp8lJaFgkVEHcu0l4niTo0LXToW1scPRjQuMmoQr6GO4JVQRQkExCwBUJKYIl1wDIJCWlKj9OXMb8kN2X4B4kBZgEMGWY4CQVbapdyBquWIgXb2GvAWho0HKd1k7QwWaZn8m5CPi81d6OpC7dHF+ewP0lK8BGfQASdXdRY1NLX8y+AOq/3t1KVx43ii5moAM6SpKMQBsZsevOhCrJSQBsbt/BWHdnO7W0dSjeEYcPQP3xv1epB8ov2M46tSxDgTxbcPseLJBRB485kduDAwE0bvxUocDeQaiHUlVDhwLj3p4Oamr27i0p+F0S2yD2XydxiduEKpifcCdUQR8ouvsadU1pICMTGuVvzQ9Vm1DFz+PUTUIVbDhs9OGeUAUyQCIJLHaABpLSBEsu4s1elaA0OmAAHNv9H18ZOHZGHaEPL7DE0/srq9kPdCNtq2tn8N1lU4VtciTbVH8AmyrfsHuTosQpQFWbkenRJ8CcEvj4nJWlQKidNVT4jwJQ4Rt7Cbt3eb2+4rTmVhKjYMwK1DA+h7bq4f4zE5PVd5t2Aioc+29jQJ3GdltvYW8APtJnsFN/NQNlKwcJZLJHAf7ezqAMGRXncAISh4beznVGsraaxUf/uATuI9Pr6+pbIpFQBbI2TShjE6r4zJROEgHfyXUma9BV4d0keIgkjdoOBmGNkeTN5EQg4zClAZ0ztZ44/weTie93wW7/netM1pOuTRWA5OyrvCBV3ZZX1nfQlBLva7lhavjnO1voSbajfu/EcjY7FPdbtqZz6xfVFB/EtuN2uvHJtdTJjv+//cokmlSc1q86LqAm883/a4tr2N7awn60XpvuW8tqldsZLs6kQGab2ZwxigMVJOrMH6+m6820vvBjum7c9BOtNDpYaC+q/O8M+9cAEnB7UQUbII7dpi5VujZVX3b3YRvpW1/U0qYduBTLUVorAgHueXUTnbJPAR3I0VXrq2FuYHsrfwewymebJwrMDehXN2wW4/KGonoLtMpfzl3H0VJN9NMzxirzxjr2MAAPANMCNlkgPPZUjvJ6dfEO+gcDfTa7WiF8FtFfJ84qUA8CKQhigPkgn+3DKWEIkrCLfWAlYEF1YOUZ8625cf4HTQq7DY1kn1FoYZEoE4tS2cHfQ8vYtcoLeL20bGMTtfPt+csMZK8vrVFgitLU1kUXHFxM15wymk08cXTnf9ezrTaJrjq2LGSkF7TSouxkBZRyiFmxtYW21LZRPbt0/ZKjtVDQFR4oMH0AaI9jk0U5u1bdxVrsTazRnnXnYlXv6xwg8NXDR7K+i7dssK2ZTSCL1jcpd7C9y9KtO1UkFs8e9hGZFb6HTFry6JKAHPth+wx1kYCLnS4+Au87LoP2+caUiIFCKtslZ7Hz/LvL65Q704zyDLr2tDEMnGPUJY4zBgH/ho8qbuVhXj1mWh41MtB2dveEBNWMZA/dycAIQvGDBfg98p3p6oYezg++4Q5ObXNcURo9eNlU5b+KvpE4Bb6qeMtGUpKH5ZtEH66spZmjM2hmuTcYwJboloAF1eien6jiDiCKi6e21hZqb2uhzg7vLX2wIuYCHHuTPOYJS/ZEAKdzApNV21vof6yZTixmJ3uk+nMWdmPaeUvV91eYA9ZXtXM4aAIf0fW2R6LPuACK/ZKz9LL7VBwu2fyPH2CevCvHjOIFck2IT6B5axv41r+TjpyaFzEtf09kbmnZK8UKwUpAVwI4kq5ds4rmPvcCvf/xfHZTaqXyUWU0e86+lJGp5zyv29dA1Mvko/YZ+xbS8/OqVDIVhHs6Swu7cEHTdr5OpYFtl3BnKuGb9oF6BDS3tBm/TgU3/+whRq/wA+EAjgo7iPMS2DI0JGBBdWjM06ByiePr6hXL6f0PP6EVW1qo5p3N1Bw3k9YtrKRXPriWTjpiX/rpddfQuPETB5VPf53P4guraewbqhRFjYLorgsPLe6XF1WDbMCrdPKJAO5bsPMmsuar/G1tGRISsKA6JKZpcJlcvXI5/eSn19OrK3so6+S7qDM1j5Q3KCNVS8MWevi/91Nt9bV0/5/+RIWFRYPLrJ/efY/nwRjEZZPHwG0uXIOFLRpadDLbVW0ZWhKwMza05ivi3Pb0dNOzTz9JT7+zjnJOvJk86bnsrOoNsYSNMDlvLHUfeDm9tvSf9Ogj/6T/+8EPI86j7dBKIJokYGP/NWdjOMb+48hZwTbUj5aso8SJR5Enq5Coo6WfxHr5hjy1eC+q3TCJ5s9fQPV1tZSVDb9Q7523BAuY5jIQWs3pUf3AKyHc/cjFm2k/EpduMp5w09jYf3hnwHXNf3Ibf3PlxIFAdJ7m5uag86xC+zgOFw3AzQN2Hp24YonhNom+sLH/3thi3LBDbjpylnhkU5qOjg4Vxx6sH4Tkrquo4Az1jZSQN4viOIZ+92yo/Be+RU/OHklVzdW0ZvUq2nv6TEL7snacyU5CgYpbGsSiC6jqys2Uxhn7jz3hDcENXsAT+sFtPuRtwhvax8eUxsb+6xnQbex/gLUrwIAYdN1iY//ZbsgPR8gBaewCFQBCenoa+3CyKxKe5oFsjUpD5GQmDByZmZkqNwBi0FEAJli8JrHi4vtqSgN+nTf5odaD+Nua0EjsvwkN+BC6UDw5vwc4ihx16Wzsf1pINz+RpTyssAdC+VsLDZQe1IXCgXXur7BNPvStok68q2/jzthdnT5AH63xvsKb86fOIo/28eicIkrLRtGkkRm0aNlK6h13EE9ShzdTiZSd1+od9VuocDSnqBtVrr7xjePXXQPRLuu+YWvsG2ddHVk711Qk1o6bPpz7VGcPDIV9bTI3OlhoL6p0V8YwrVdWPpYOnTOZnnz5X9Qx/jBKyhvl1VqVIQB56uKpad2nlN28kg488Gx+ggfWfIepCO2wh5kELKgOswk3HS6ezKeeeQ4tXLyM/v3uX4imnU8JGRybDpsv/69jxzrqWfgPOuPYSXTOeReaNm/rWwnEnAQsqMbclA78gEbxkf6mm2+hxh9eQ08+9yMqnnoENfakUlpPHRXF1dBpXzmSrv7+/1F2dvbAd25btBIYYhKwoDrEJmyw2C0pLaU5c+bQwgUL6PSjJ9J7731ABx98IF1x+WU0esxY9YZRW6wErARs7L9dAwYS6Gaf1JElpXTE4Yer138cecSRURmaajAkW9VKYMAlYNWLARdp7DbYl6CaL6fwhtB4jRfyxa407MisBPxLwIKqXRlGEgCwyttUjQhtZSuBYSIBC6rDZKIHapj+XsE8UG3bdqwEYkECFlRjYRYjOAZ5nYpEI0Wwa9uVlcCQkIBNqKI5TcMxoYpTNBLGJ6Dq/Hew2HSbUMWbVMZN4o5w07jhC2si3Hw5+zCJxBO+dGlkLduEKo6dDuHBvofkFrqxu6BBzLsk/NDBVMSvow/01draqpXVRhKdSKywblKMaEqo4pQNYvohM8gOssB4wCs++Le/4jY5irTvfHNrsHmSpCU2oUqbmh+bUMUmVOnbL26So7ihsQlV9BKq+AIZEkgAuJAcBA8aJDwJlcDDJlTxStEmVElRMtAteKAiaUmod6A52zOlsQlVAsyGm6QQbmnAgu7RQuqaJGuIdhrw5++iKphMfBOr6GwqtzSRkLXwHwvrwM0+cK5RnbmM9jVtKgObUEV31m09bQk4baq6Jhftxm1FK4EYkIC+Ph4Dg7VD2HMJWJeqPZehbSG2JWBBNbbnd0BHpzJTsa1LXl1iNdUBFa9tLEYkYEE1RiYyUsOwmmqkJG37GaoSsKA6VGduAPh2o2k6NVWTy5oBYNc2YSUwJCRgQXVITFNoJgUg4UcrriVChb9t3rxZuT+NHDlS+THid7iWbdu2jRobG6mgoIByc/n10yGKvagKJSH7/XCXgAXVGFgBApJLly6lxx57TOU9PeOMM9TI8Abcf/7zn/T73/9egeZPfvITOvHEE1WwxLJly+iWW26hRYsW0VlnnUXXXHMNFRUVBZWIPf7HwIKxQwirBCyohlW8kWkcUU3r1q2jO+64gz788EN+V9SBfR0///zztIATS7/yyiu0atUqeu6556isrIxKSkromWeeUQD7wAMP0P3330/33nsv3XTTTQGj03wvquzxPzLza3sZWhLQAlU5WprY4FAXH5ONJzQmIowkjQlfqBsp3nC0h4Y6btw4mjRpknrPPArAFkf7Us7aX15erl6p++abb9LChQv7Xh0NrTY/P5/Gjh1Lb7/9tjITjBrFL/fzUwRUoa0i0kUnQgYy0AnRdXZnss6EznStyfyYrE/QmAYYRHIdmMrAzfqU8ZjsBTf9RIJGkgKZrDcdLPTA3haqIOYbG6O5uVlrI6E9uN2gbZNFiJBTAILJIN3QSPy6yYaSmH8deYk8AWomOQYECEGnUzAnGANA87rrrlP20SeeeKIPxDBfOP6LrRTvN8dn06ZNyraKfmBLRSksLFSgW1lZqbRYxN875YM5wVgwr6DDT/w7lDwkjt8kaYU8FExpJBeEjuxQB7zj4YCxoS8JeQ5GL3kjQo3b2QbmAA8g2LF1i1sahA5LzltxfQvUJ/qQXAG6fMm+DvTOe3/toB/IVuchLPRyN2ASpmpKAznJPOpiDtY+6DCmQPPpWbJkSUh5ohFsDtjgTIAIE6DLLJgQe1000mBRYAHqyEsEGu7xQL6wpwJUi4uL1e9OIMLE19bW0ogRIxRLsskwlrq6Oqqvr++r79Ry8Pfly5f32wRIqLJ161YlA3wPwF6/fr2qEyxptWipwdZNfBxRYgJONf6XYg+St3Tzu1vxVuwARacfX1LwnZWVSSMK8qmmppZq6+r7xZp7wBj/vxt97yTGgwTa/44dO/qaQzUP84+fzgKeu3t2+fXq7J1ETxwl7BQEaLscfUvbiQlcZ2dnTtlgPMXFRZSanETbKqtYQQmeaEjWgw5f0jdwAKYmE7Bz008kaUzxBjLA/ggkNw+Of6EKGvn8889p5syZ2k8bCAWbGpqR7qRJFqiMjIxQLPV974ZGNFXwplsATlhMs2bN0iVRGh02oUk/kgkKySR0S6D0epAjjvYCeqKRAXzltl/mBjKRhyA02wMOOKBf96gHWyw2U1ZWlvpu4sSJNGPGjKBsQusE4EGDClQ6unqorrmLWjq6mQeuJeDESAbQSEtOoIJM9ljwBM4+JKeilJQUXbF5tVMGruYOorKsApqYtKt9gFZTGz9I+b1c6Smsze4EOmwmzKfTRALwrG3qpKb2btYM1P8VwI7ISqIMpsU+gNyCaXcYcjwTVTV0UC3LAjLLy0ikfB43ijxQEhhQdzR2Ug33B9lkpyXSCK4D9jo6OGNYN2du642jvQtH7gbyvoLBgzFUQhxfGtjnx4wZo+UpIrToB2M30VSbmprUmjEBb1MaOX1jr+kCK/b04sWLadq0aQHn06PDtAhDshPprFowqWt3k/awcUGjw9Oe0IBWMlXpjAV1wJPwp0sjxzCT8UDGYrM06cdfXSwWLOaNGzeqr6Fh4YMFgeM/xrN9+3Zlb4XpAA9PaLyBxikZp9AW5ldnPeiMZ1FFM/388TW0vrqVctO9ICKllYH2kEm59KPTRtPYEf2/c9ZDP6bzg/F8tKKe/rugis7ar5D2G+99WKAAxO5/fSN1MuB/+7hRlJuWoP7ub40uWN9INz25htZsa6XsdA+DdS+lJ3voutNH0wkz8ymRecP7vEKtg3VVbXTr0xX06dp69Vw5Ymou/eAkjHvXgwKA+6vnNtCbS2upi/uZODKNfn7WOJo+Kp1SGMA/W1FHz35WRV85rIRmlAdXGmR/huLLKWc3e9RNP0KjC3ayR7EO3NDoKn5yIgq29rUuqqQhkwsHOfqK3U8HIIRGp+6uxY9jYZBzoZ/G3PZjwpd3Y0aGN6cs8LAQzRQTD1vpvHnz6JNPPqGKigqlOUPbxt+hCbz77rvq55o1a2jChAkKbAMVGY/J0UxHBm2s4SWxBnb1SeV08WH9+8fU4hielBjANmA6KY76VY0d9Ny8SppUnEazx2b2fdPM/Dz1cSXd8/IGOnXOCOITeb/iu97WbG+mnDQP/flbe9GccbvaSd6pWXezRhzHD6FgZVt9O/3k0ZWUxZrnsz+cydpnEj34xia679UNdMUxo2h8USq1dvTQTx9bzaaSOHr66hlKk73+P6vpT69tpB+fMZZG5SXTQROz6Z0vahl0d9DogmTWZANvcZ258cdzpPZbuPtxi1GytwPNpxao7sG6taQRkgAWCEAUR3en+eSUU05R9s+vf/3ryrZ644030tSpUxVX5513nvo33KkuvvhiuvLKK4Ny63SpMr1pDtYwjq4eBgocldP5qO+mmBz7pf0nP6qkZj7iH8kaodgod/Cx+nfPr6enP62k+pZuEmAMxtPWug4qZUDbu4wvAl3y//qSWgWalx9TxJqp11TylcNL6Op/rKRXF1UrbfnTNQ1UUdlCl32JvTkKvNrrVceX0U//vZo+WllHZQcUqnGcvX8h3fniepq/toGOmpbnRpyWZg8kYEF1D4QXLaTQHOXoftlll/WzYeMYdf7559Ppp5+ujkVO8Bk/fjw99NBDyvYLMwFsraEKwDscCVWUTdFQGYUWCxCsb+nqM8MK/7A3whZawBofNDvf0tjaRcs2NVNpbjKNcRyvH31/Gy3Z2Ei3nTeeXllUoy6K+JQdsMAmu521TGja0HzrmBf0V5yTFNQG7Nvgxh1tNJ415on8kZLPpoT05HjaznbWTrbtrqtqpbK8FNqrbNedw9jCVMrJSKKVW1uoiceUyZoutFrYgD9eXU/7T8hiOdhtHmpdD+T3VtoDKc1BbiuQTRFg6ntZJmYCgKmJewyGKD6EJhcPwUQDTRX2wc217bR2+y4XP8EyHK1x1PX1DuhgoPnb21vo3+9tU5qu83tcekED/dEpY/q0OicPy7Y0U0NrJx25d47yPJBy2dGl9C3WBAGWLy3cwZdOwU1LmxgMF65rpE9XN9Ari3coAAbYf+f4UXTBIcWUkqj3ag/gvvIU6OvO6+0AT4DKhk6+COtSl1i5LIesVMe25UspsL+NteVmHjNAFZ4I+7J9+MNVDbSppoMml9htHsmtaaUdSWlHUV/iImYCqNBkOzraqLGhzutK1aXnTxtq2AkM+o18DL//tU30BB/JpQBU4M508WHFfMwdtZvmh6P5904YRd8+pmyXx8BOYmWLZaQK5DGwsIIv7bjP0rz+XglSX3kiaNjq61u7FfB9i8H4mpNHsztTggLXu1/yXg5ecjhu4UOr4GNY43x9aQ0t3tBEo/JxtI+jLbVtSjstZm06UBOCwd6fu/oZW5hGb/FlVjVrz5NJ35Mk1FzZ70NLwIJqaBnZGiyBlpZmqq+roU2bt9Hcl97km2w4zBOdm+Sh0WPGh7zZDiZEuC1ls/Z10Wlj6MJDfS7KGC3guxkIHPF3ZsG4bGGtOJm1yIJM/8QaeKr6nMa37k9fw66GbLuASxQKPAneX17HF0Z1dMz0fCrJ4pdNwlUsSDmQL5j+/f5WpXnnszZamJ1Ez8+roi82N1MJH/lRwBN68AvRPgp1SW6ScvHaXuf/pYzGArME2hJwsRy127YVY0QCldu20m9+exc98O/niMYcQ8uTZlB8Fx97H3yJHn1yLt18w4/p5JNP0bLJBhIJNDH4o5pc9Dhtqv31NK9/azCbKo7ZCqBCK5H9WPa9MYcWmuTrHsAUo9lOu64ammKn0jx7u4IvBtS55+tT+HZ/DV36p6XK//TyY0rpqL1zFfiDT1xCKfOCoynhHyYA51iA7/BigM0Z9Q2HGSMrd3CGYUF1cOQ+ZHptZcf1O+74Dd319zco88ifUHb+OOrtYSd33qXxE06i1RVv0U2/uZdRrIvOOOucPRoXbIoo3d1wfve+gTRY2RObKryd0B0ryUYFJhAnXwgQgC9tDvvXOi/EoMVDe4UJwgtpwW2zaAcPlfu/MaWvJkDxOdZWZxakKpsytNeF7BNb29ypvA282itHm7EaPLYwRXlPSIFmnMn/LuQABAuoRlO8x5UtqO6xCGO7gbfeeI0ee20xpRxwGSWPmMyAyjftyueSASMpkRKmnEJLPtpOjz72OB16+JEcqeUNiTUt2PgCSgkJesvSa1Mtp28fyzbVfsULYtDsArlElTNQwX5ZVd/Jfqr63I7npDUJnl3g9e7yWvrz/zbTV9l2eha7MqEAZJfzRdheJek0hn1FWcdkIA7ex6tsh/3rW1uUr+6XdrpBvcNtw0thZnmGssviVn8bH+fnsavUtFFeD4DPNzYpj4O9SuHOhXnx6qWbatoVSBeyF4ItkZWARydphdTBT536GILUDZXUwTlcJ42uGCJJI+OKRt5M5sZ3fvyNR5KTLJw/jzY1JVHhuIOpt71x56YFBc6hnNsBCa9L59CSrf+jTz58j0469cx+ayRQCK306c1ixTZb9tHcwDfpztv/nb2wxkccrukN+ezlPp32ziTGN9hVezjoQWnPfYDs1c+8/fcfIcY2i539AVoba+BtkN0vUEOiaxA+29nN/GG0OxtB+5V8Cw8NNJeP6AdPzqYX5lfTfz7aprTCkWzLfOyDbbSVwe/Cg4spc+dNPcwA0FzhjM9v+up3CYb+EHzw1zeJnv5kO7eRTOj7H29vpenlmXTwpBzV/77jstQHPrSj2E+1nE0Gf3x5I01gN6wDJ+aoi0N+lChNevW2ZnVpVpiVHDAIxc3eca6dSOwD3UgnJ1+6NOIeqItpzv0fbL954BgerIBB+EBKLL+EHYYSqPhOmmSpEhrdMDPZ+ODPhEYyDekKH76e6EPyDOhMAtqG/yc+uunvhAb8iaN9KDm7pUFklWRl8he5gnmurdlBW3c0UEpuqQIzf0fYXj6qJ2cV0fZtibR8xSo66RRvNjMUWTvOyBUZjwQrIJQ2k4EmIzWB/sWuUU9/UtVvyJ1dvVSUk0jfP3E0Hc8hn0gSApk65w6/I8cAfsKbIVgkDr5LT0ulSRzeCYBbzhdBbaxZxvd2Uls7JwHgkp6Wwm0lsK9psrLx4gTf1YmsXfHU3pNA97yyUR2/v3FkCV+wJdLt54+nXz27jr7zMJJskPruutPG0qGTc5TMgMf3Mg1so1exE39aYje1tHovkMAPfIfHsMP/H78+mW58Yg2d8/vF6sj+dW7/sqPL+GESz2HVyPKUQDd+eRz9Ym4FXfvIKpVkZg6D7OXs/QBAR5KX9PQ06mFgnb+2UQUjlDLId7LHRlt7f5mhb8gMa1kyL+msNawZ7AXQBkuk42xL+tHFDtCiDxTdfe2GBrI36Uf2GmSGXBMYv9+9o5O8ROJp4esYys4lwhQNFe3rgpdsch2epB83NBL3b9KPpIkzSXSCxYpJM02oArpw02AeIYdg/WRnZ1NaShJ1d0Kb82+Zw9z29HQSYyKhPlDFKVfJFxAsocqsMZn06HenKV/V3W7dcaHEXcvtPwDIX/SURHjpRFaBZzgZzeZ+P1hVT6srW2kaO9QnJnntlPL9ry6YqEbttYt6z+/xzOBPzxijjuPwB0XJYY31tnMn0A0cgw+1FklPdvmnev1nT5ldoDTx1k72JU1lrZttpFJkf8CR/y+XT2UtFSkdSbUhkV6y73Aphn6uPXWMsgnj3yIbyD05OZH9ZpsYwONYe82mFKjylMJj859oRjfoQ3jFfELGwebTHziDRhc7QA+wwl4zyUtgSiOAiD2gC96iJEleDX9j9egAntQx0TqlrluaUE9N54I06UM2jRsaoY1G3tyMJxRNekYmlRbmUU/lO5zxmrXPeAYWtqnuKriSTqTWyjU0Ka2VpnOiFl8ZOddOILnhplq5RvVVkNuj3R3nA61X53rTnZ8z2Qa6ipOgvL6khsazX2eqI0sV2vAXiVVbU0MpnFovhWXjLABezk7kt2uYDxDxBNcwXB4FW0e7XMQC36ABaGEv9S1JbIppae+hJz+p5GQqmTRjtPDYPzBiT/aOc//oytnN3EQrjQ4W6t0I6ErP1os5CRzMl0+HvPoxfbz0ecqcxqGuHj5eq9t/aG+cuLp+K/WsfpXm8GXRfgcePCDjb915NDbVhkw7z+TwTQDrC3zDvmRDI4d0sqYdoiCrFzRCPHB0C/xwYSMtLwBw6+U2aG5u7XtBo24/uECcX9GgHgZHTc0zck/T7cPWCy0BC6qhZTSsa8ze9wD69tfOoTW33E3Nq1MovpTzrOKyiA/GnQ2V1Ln8GTplVgZd9b2rtc080SRQmACm8026ad4BkzHA7nz+QYUMkuHdbjDnHDAxSx37vSYLWwZDAuGd5cEYke1zQCWA4855519AuXn59NPrf04LP3mI8sfMoITeDsrpqqEjD5lD1137Q5o8ecqA9huJxpR9jMeHfKfhLOgHR/NwAjf4V/3AzU3TJS2cYx7ObYd3NQ1nycbQ2AGsxx9/PC3/Yhlt+sUv6Mgp/AqSEQV0ySVfpVmz5/AFROjsVtEoDrl0SAgzqGLsOnkE9lRGXjcfvJRxT1uy9HsiAQuqeyK9YUabwOCZl1+gXqFSWlZKEyZOHrKAOsymzg43ghKwoBpBYQ/1ruQtDrgQiY+36tBQn0/Lf3gkYEE1PHKN6VZ1gh9iWgB2cFYCQSRgQdUuD20JwLYqTtKhfFy1G7UVrQRiTAJhA1Udp+8Yk2XMD8c3NNQk2iXmhWMHOOQkEC6MCntCFQkj1ZG4mwQPkaTBGEyOvpHkbaATqvjOl+QvwEKU8D6dPkMlVPG3LpwJfHTWjcyLN2RWP5efm36cb5Q14U1HVs72IrF23PQhsjaVs9vx60R8itykD10aSagCjNINU3WumUAysAlVNHbGcEyo4iuWzMzMvkQmWEySXAbx3IEWFxY3ch/4S6gSSOxuaSShioB4qGlFP6Y06hUyvAGRjAbjgrN9qCL9YA0FSsDh24bQoH18dF7V7KRBzlcdGptQZQgmVJEXzuk+OeSJYZLoxA2Nm4QqWIDYGMMpoYrvZkdSDLGrJiUlUVZWVsjEGjoJVfxpxfibSZiqSUIV6U/GopOEBTSoD2BFEhLwpgNc0pfQhQJh5/cAR8jZpKC+zltxpU03CVUwdpO5QV+mCVVk/k1NTOBLl0a8WbCndTXVQU+oIgtRF1Td2Djc0ri9aNEdi3PssUIjY8JPeaNqqLG5nR9nXzqgEqkEHE5eQo3dCd6m6y0S43HTh3NMOvPidh+YYoevrHV5M+3HuZ4DzX/YLqpMBmXrDg0JyCbs81c1fcHT0Bim5dJKYI8kYEF1j8Q3vIid2pap5jW8JGVHO5wlYEF1OM++i7E7jz+6digX3VgSK4EhKwELqkN26iLPuD3+R17mtsehJwELqkNvzgaNY3v8HzTR246HkAQsqA6hyYomVq1NNZpmw/ISTRKwoBpNsxHlvFhNNconyLIXFRKwoBoV0zA0mPC1qQ4Nri2XVgKRlUDYQNWN03dkh257cyMBO69upGZpolEC4VrLNqGK5my7Sb7hJmFFtNI4U/6JyCSmP5gIbUIVbxIetwlFwpm4xA1fmOtIjkU3as3Jly6NTajiZ+dCeIj9R3ILXZ9J0CD2H0kxdIVvE6oQIaGKyAwyRww05I6fgQrkaxOqeBO32IQqPSpvgm6+BKwbFN19jbqmNODFhAbrGesdD5XW1taACXI8OslLIAxJjoLfdQo6tglVvMCTnp6uIzJVB8CFiQs3DeYRDxeTfpwJVfA7PkjIEazYhCpe6diEKilKBibFJDmKtGtCYxOqBJgNN3aRaE4k4Ya3SNLINOjKXbeec3rd0pi6ebmRmz8+QwGFm34iQeOmD9/5DzV2fO+2H9P5dPalw5dzLLqnVufaDERj9ugw4dTWjTkJ+LpU6Q4wPtwvvNdlxKdeogcvMIw3otaxI/s2mJbsoTiPfVGikaCHcGULqkN48gaDdQFWXTBCbs/2zh7aXt9Bze3d6r30UhIYbIuykygtOXyA08391bd0UUpi/G79dFEim1p6KT2+l8CLTsG4PQleIK5q6KDa5i4CZV5mIuVnJO7WBMZd39LN2lo3j5UoK3XXlqtu7KTUpHhKD+P4dcZk6wysBCyoDqw8Y7o1naOPrwBgU/18XTNd/5/VVFHZSnk7gQfg2sWfcw8spu8cX0aZDrAZSCF+uKqeXphXRafvW0gHTWJU21nQ/32vbqKm9i7ufxQDol4y6Ly8PEpPTaGlm1rolidX0+cbm1jbjaM547Loh6eOoamlnPBYvXKG+LtGuu2ZClW3u7uHeRhBV58ymgqzkghg/8D/NlFWWgJ9/chSC6wDOemD3JYF1UGegKHUPQASlw2JifjsrpUFGgs01WQ+av/g5HL62uElfdU+q2ig256uYE2vl647fSxrcwMrjSrWBJ+fX0VjR6TS/hOy+hqHxvz0J5X0x1c20gkz8ynRwARQWJBPq7a10E8eW0UTi1Lp/m/upfi+7t+reSxr6bZzx9OE4jRazXV+/sRaBeQPX7E3batvp2sfWU0PvbmFrmE5JLE8zj2oiP7w0gZ654saOnGfEQM7eNvaoEnAguqgiX7oddzR3kZtLU3UUF9HzU0N2gMA6HgS4pQ25jzqHzIph2aPzaQtdR3U2tlNaUkDawZ45pPtVM/H8y8dmdd3vN/R1El3vbienvq4iur4O4C9UUnw0IsLa6k8P5n+78TyPs37quNG0cNvb6GNO9oUqL64sIoSPXEM2gVqzOMK0+i8A4v479W0eEMT7cuaLeqNLkihhesaab/xOVTAJgRbhr4ELKgO/TkM+wg62c1r1coV9NY779KS1VtpW8MbtHb9FnapYg3wgAP4XVW7jtWBmIES6mu27OruZeCJpxy2UfpqqagP6+sO1jZrmzuV3dJZYJoFSI/I4vc4+QHGxtYuWra5hUbmJtOYwpQ+0sc/2E6L1jfSreeNp9eX1CgTRA/O6pqlgdtdsbWFJpekU3pKAq3Z3qrsxKMYZO/8ykRuhd/oyu3B1DF5ZBqNL8S7rGBTjaf9WFt+kjXkJTtBFV0ePDmH/sRmgM/W1NMJ+xRocmGrRbMELKhG8+xEAW8d7Gf7l4cfpt/f/w+qTSynuNlX0I6EZHpj8zp657s30kmHzqBbb7qeSstGBeQWgAjw2lzTro7FUj5ge2cta46Xsk0xNbG/lgo7ZTeD7r/e3Ur/5A8ukpzA29rRTYdNyaUfnTqaxvDx3rcs39LCmmgnHTIxm5J2XiyhzjePLqVLv1SigPC1xTsoTh9PVRd1zG8DX3y1dvTQX/koDzNCfUsnHcD9XHfaWJpSkkb1DLwt7T0MtImUwsDf0d6izCUJrK23sOmhqrFDAS9sr1PL0pVNFkB97Az9C7MoWBqWhQASsKBql0ZACSByau7cZ+jGO/9BrePPptTyAyiVtS7gUFzcQdRaewj97dUHKDX5V3Tnnb/jQIBdGqGz0QQGtaa2bnrg9c30zKdVfV/hVj47zUMn8hGZ2AzgLLjISWIQuvK4MrqMgdBfAdBC0/VXoI0C3Erz+/OUyG1Cm4S5AcCWsJsOHHxB7GjqYnNFO32ytoF+c+FEev362dTMAHsDX8Td+tRauv388VSc4z8gwp9CnM0XdPjg4QIgzkwdWBOIXd6Rl0DYQNWNA3fkh297DCaBtatX0ePPvkQdxQdT6tjDKK6bQwdZu/IexXsppWACdc44l16d9zL99/ln6cwvn+e3uS6++YYr0bWnjaavHsYXVTtVzg3VrfTjR1fTP97dQrMYVEv4qO5bcLRPcrFKt9a2UyKDeSA7pcGJfzewByh/9bBiOm3OCGUrhs300iNL6Ea+mHprWS2dw7ZT5XoWQLjOvlGvlMe9ibX4muYOBtXdtW67SsMjgXBhlE2oojlfwy2hCvwxly5ZRG8t2UZxe59McT1djKM9Dmn1Ui+DbHrpTFq9+m16/7136YyzzlFarLPsSsRC7JPZ/6JqCtslz+Mb8Ef4eL+EXZMAqpKsQ9yScLEU3KaapEAXdNgkEnoIm6vSSRWysd3U4R/rLxJGx6kfPMFRICMlnsryUhWgqnBs/nsZa8RJiXG0hcG8swt/89qEVe+MovigHvjZ5WygdH7VDnxWG1mbhy8WNGg3yU5MaUzry7zahCrBk8p4mpubg8KKJMWAIFtaWrSTIqA+4t5NQs2ERtexHG3bhCreJA+I4xdQCfWcQD3kGIDsAtEggcq2bVtoB9/MF2Tx8buXQdW3MMjGp7CrUlImVVdtV/PdvTMjE0AE7ldpaWkKOFD4K1XAL/7iYTsjbt9haxS9Dm1gnaWmJLMdtkfDpjqGxuR7FA3G4uHIpaSkZC/gMWYpLGU+m5u9tlzwBT9T4oO/t+zkrYuDE1q969VfAV1GeiqV8NE+Jy2ROroYALmA35SdqrRooPC5zeBLrGq2nba0dRFrLgos27t6lVZbkpPCAMvAyTbjeHZTa2cQHpmTpNrtZj5a2jpUEhbMKT46SUjAt9DAfqtDg/rYc5gPnfrO/QZarB+dIv3YhCoOadmEKtSXacgLEnpFMjmZJC2JpoQq2dl8ycMg0NPZTAlJGPfumwg329TZTqkMVCl8dPW/OXu9ILoTx5w+rjuaOpTjfWme1/keCTFE28TxXcumyo1Dxtj0AFSUctYc57Ef7HZ+KOAW3pk4SAEnX3R5i1efTEhMpkxP0k7NdiewQsN0TDXoRuay+XdECi3b1EyVHC1VmO09ri/ZsIPa2LaKSzPYetHn8/OrVXDAQew6hvLm0s3KbWzm6Az+F4fIsjygleLoX8ReDLnpHuYjgTIUH2wvZnBMStILShA2Ud/EhxgJcUzqw1cZc4SPSUHyHZtQxWcx4Z8mWqeb6Bs3Ng63NCZjcS4e3cQLTnkNVZrxEybStFGZDAwLKWfyUaystiqNq694UqhjxzrK8tTTlKmHqj/7P1oTtTCIra9u67v9RyvrqtrYBllHB4zP5kgkAI23ONvQtan6zufMMZn01he17DfKPFOOX746WEPs7UXowa5+odnCjQsXWjkMcv701rPYZnrnCxvokfe20smzRyhwvfvlDey6lUpHTmXU5XLyrBH06uIa+tvbWzlqChdRXfT8Z9V07Mw8deMvBeaNJr5Qm1qarkJpfddNONeOyMykD39zFApc3fbjZo+Gm0YH11xcAYQSof0+ViQwfeYcOuXgyfT5Yy9Te/FkSsoYQXFsEPTqb73UzRpq57q36bjJyXTsCScHHHZmCt9wM7A88VElvcjaGwpu9xO4LVzwXHpUyYBHU00sTlWa37LNzXzT38MuW/29BKCswoc1kbXKBMeRv43B/w8vrVdO/XDoT/ahQx7NmWUp9KsLJqgIqofvXKRMDBceyuG2XB8AilKSB7/VSXQzewScf/fn6mH0VY4m+9oRJcq2KmUxeynA/LE3A61u/oFYWV+xOg4LqrE6swMwrlQ2dVx8yddp7YZN9Py8+6ll3KmUnFuqlNWO5jqize/RPumb6NKvXkVTp+7tt0fY7KaXp9Ej35mufFX733yTsqkOdHgqGMGl2OyxWfQ238av3NLMR+7+Llvwi739vAmKZyeYweZ5zPR8QvBAJ3st+ILqtm3blKmhtLCQ7v76FIJnA+yyyXxJ5QRLtDuKo6X+xGGsnWw7RfGtA1l8uLKepjOggldbYkMCFlRjYx7DNoqJkybTr3/5Kyr54z306BN/pJqWHsrIyae0znraf5+p9JPrbqb99j8gYP+4aAGSJrHtDpdHkSyncQKTVdua2cm/RoWE+maDiievx4BcVoE3aNBrOUoqLwOXTbtvD2iqsCuiwESQuPP3QOPCmHdl/es//nlr66mSM12dvX9hv+xVkZSR7WvgJWBBdeBlGnMtlpSV0S9/eTvNnDGNfve73zGIzqAzTz+djjn2WErwBI9Xl3dUDYZQMljrPIOzUz0/j+Pt1+PCqH84bWub9zU8uESRgiAFxOyX5fkPZHAzDnge+Gb+B3i/sbSWY/6zOFTVa4e1JTYkYEE1NuYx7KOI56vqlNQ0GlFYRHtN2YtGlpaFBNSwM6XRAY79e4/K0I6bgk30okOKtd9fpsGC3yowOfzg5NHk8Qm/dduepYseCVhQjZ65CAsncE/asWOH+kBrhMtNcXGxercUXGngp7xp0yb19zLWSIO514iDvbqschuSFJZRBm8UwKVblDHAoL5uu/7qeUNmbYk1CVhQjbUZ9RlPVVUV3XzzzfT888+rY+6YMWPoxhtvpEMOOYSamprob3/7G91zzz2Un59PP/nJT+iEE04I6E8o7iriRxrjorPDsxJwJQELqq7ENnSINm/eTAUFBfTUU0/Rvvvu2xdFhRE8++yztHTpUnrjjTfoiy++UMA7YsQIOoDT+QUrbnwBh47ELKdWAnsmAS1QlbBR3fBRsIS6+Jg4FguNyZAiSWPCl1MGJnQDPR4c+2tra5VWum7dOioqKlKho4j2wt/Ky8uppIR9J3muXn/9dZo/f35AUJX5lDcA6IwLNKamApN1JjyYrjW38+PmgTLQcxpI7qb9mNZ3ylpn7p31TefUDW+mNJhLUxodLPQgZjpUQegkNgbsb+JOEooG9je4n6DoAitiiREnrFsfbbulQcy2ScFYJP+BLh3ciSA7kyJx/CZA5EsjcfewkzY0NNBrr71GL730krKXXnjhhXT11VermHKMKScnR7EH30uEHm7ZskXNNdpUMfo7nUjxE2OR+G/ME+hD8Qk5o45unDh4Qdsyt7qyk3WjXLg0ixsamVOdfSNsiBuWScgpaLyvrtF/GwBoMGe64aAYA8ajWx/jkX1tMhb0g/nXxQ70Axr0FU4arEv0o5LdaL5SR3IxAAsDycDz+ecc7RGioFNsjmXLlhkBnsrgo8mssBAJmr6sQQa8YVFAoDrykrG46WcgaMBrITunw36KjfblL3+Zrr32Wlq/fj3dd9999Oijj9JJJ51E9fX16tJKNosAKMaJy6vt27f3LWoA7tatW9V8AqjRFuYqFFgK6Jo8KKOZBg+WxsZGdfGnW/ou+AyiHCJB46YP4ABOPCZg56afSOCArHsTjBIsXLFiRUAs9MDOFqpAkEuWLKF99tlH+6kGoQDNkchCd0Nhg+LJgQxJusUNDUADWoozyUao/mpqahSQzJo1K1TVvu8loYpJPwORUEUukrBYLrrooj5+pk2bRtOnT1f20xNPPFHZTwUU5ZiOn9COAMj4OMvq1avVUz03N5cmT56sPqEK5AwakwQccsIxpcE6c/qchuINa83XTzUUDWSH+Rw1KvCbDnzbwD7w9VMN1Q9oTBOqiPakq93C/GOaUGXBggU0evRowltldQv6MU2oggcXzFQm4G1Kg3UJ3nBK0wVW7OlFixapfQTZ+SsencZkYPipUx8dYYGjvolQQGfShwzIlEb40h2L8IWfpjRueDN9SqMPfzT4GxYajikAKMmDCTDF5RU2H477KKiHBSZA6W+c6EfsUJK5LNTGAo3J8WpPZC28heLJd92YzKkbO5zb9eZm7ZjQuOHLzR5100+kaXQVPx0s1LqokuNYKPuZczHLMdbE/UZodDcF6kWSxoSvSPPmb26gic2dO5cqKyvplFNOobVr11JFRYVymwLQAlyheXz44YfqO4DufvvtF3CYMpcmlzVu58eNrN3QmKxpad+Uxq0Mwt2PG75kXZvI2k0/kaBxi1GhZKAFqiYCtHWjRwI41sB2escdd9DpHFYKEMUl1dFHH62YPO2005R2+o1vfINGjhxJN910kzrWBCo6ac+iZ/SWEyuBwZGABdXBkXtEegUIAkh/8YtfKMDEMRd2IPxdLg9gcz377LP7vgvFmGipJkfmUG3a760EYkkCFlRjaTYDjAX2T1+3GXHDElcqHTE4kw3r2qB02rV1rARiSQIWVGNpNiM0FtMLoQixZbuxEogKCVhQjYppGBpMwGSAYnJRNTRGZrm0Ehg4CVhQHThZxnxLFlRjfortAAdAAhZUB0CIw6UJZ6STvagaLrNux2kqAS1QdbrS6HawJzS6fchR1KS+WxrTPiLZjxve3NBYUHUjtcjSROsFohu+wk0TLozyyJEu2NRLKCN+6g5UondMaFBX6HSXYqRoRE468hLe3fAm4zfpJxI0kkhFxqY7T6gHMDYdD/oxpRFXMd2142ZOxWHclDddefnK17QfrDndU4SbdSPz4oYvXeyQPkLllfCdZ/BkQiPr0kRm0n6w+fQgXjhYgSAQ+49GEKED1xydSA/UB53JpYbQ6C4K2ejox4RGMg3pTjJC09AHBCrZqkJtXLQtmZ50098JDfjD7zpydkuDHAPywAvVD/pASKtk9pJ5wr+DZYWSteOMXNGRm2S20o2qQT+ScUpAXKcfUxqsfcgMsgs1dulfeMMaAm0oWcsJB7xBtpIVSXc8qI+50ukHfUBeWKc69Z37DbS6ACb96GIHxiprTXdfu6HBmE36kb0GmQEHAs2nRyfZh8R5w6dRN00YOoZAQKMLXvLE0OHJqQ2iHxMaSXcG3nSKc2MgyYNuwWLFBtTtB+2iPvgz6ccNjQCEbj8CrOARIa5IeoN8AqE2o8T+myRHcUODNQAeTRKqmNKgfUmMojN2J7BiTIEScPhbT9KXSYo9mSPdhCqoj/Z164NPjANjx7oJNffO8WPsutghdOjHNHeICY2EXWMsuuCNPY26oAmYUEUH8Jy2B5368rSVn25odIFrT+wiunw5eTGhiRRvkerHaVPV7VO3nu98m5xwnOvMZH5M16c/Hk3WaSR4cys33XHsyV6IxvGbrgEdLNS6qHIjcEsTexLwB6qxN0o7IiuBPZOABdU9k9+wonb6qeoel4aVgOxgrQRYAhZU7TLQloDVVLVFZSsOYwlYUB3Gk286dBtRZSoxW384SsCC6nCcdZdjts7/LgVnyYaVBCyoDqvpdj9Yp8+o6Q2z+14tpZXA0JOABdWhN2eDwrEzKgqgai+qBmUabKdDQAIWVIfAJEUDi1ZTjYZZsDwMBQlogaobB+49oTERnKlDMdp2Q2PCk9SNVD9ueDOl8dVUTSNdTPuz9d1JIFrXnBu+wk0TLozyhIrfRce+CVV0wtMk4YDEsessEWcSFp36wptJIgW3NM7EIDrjd/ZjEo/uTHKh20+4aZxjkXmRPoPxCDo3cnMmOjGRgbO/UOtH6qKeyfw4E6qY8KYjL+fD2O2cSqi3Dm9u+pCHq67MRL66eSac60s3V4JbGhkLMErHnOXEwmDz6UGSlGAFDdmEKt6EKpJIQSdDD+QWKwlVoJUiKQZyDKBgESKhBH4Gk4WsHZtQpU3FsOuCBOQWrQlVJJmOTaiyBwlVMMFIuCBJS3QzzbhJqCI0uslR5MlhklAFNAADLArdRCeyyLExQKOjBQioAowxHl0aABfA2KQfNzSSZUmnH7mYkoQYSCSRlZWl1kQoTVXWi24CEvQlpgVTGtAioYqurME/PiY0pglVxFNC6HR5k32HhCcmNJIgRZcGc6mb1Urmxk1CFchYFztEyTNJdOKGxjShiuxpSRQF2fmTsydcdgunvcK0D9P6bu2kbvqJZF9u+AsnjZuEKs5TUDh5s/30P2+aytq0fqT2QST4kgdfKJORv+/98ad1UeWmM0sTWxLwvahys9hjSyJ2NFYC/iVgQdWuDC0J+LpUaRHZSlYCw1ACFlSH4aS7GbJTU9W5KXXTh6WxEogFCVhQjYVZjMAYrKYaASHbLmJCAhZUY2Iawz8IX5tq+Hu0PVgJDE0JWFAdmvMWca6tphpxkdsOh6gELKgO0YmLNNsWVCMtcdvfUJWABdWhOnMR5tse/yMscNvdkJWAFqg6Hfl1R7onNLp9oJ4bf0k3NCY8Sd1I9eOGN1Ma0VT3xFHatE9b31wC0brm3PAVbppwYZRNqKKxbiF8N4lBEOsdqUQa4ewH48dYJCkGRObUXAOJ0K3cbEIV73pzM6c2oUq3Vlivcw3bhCqOHSybHXHsur6ToIEQES+v+yRELPpwTqiCmG0k3pHFh9wEkj8h2DMJ8oXcbEIVm1AFDwiT2H+sGxTdfY26pjRYlyY0EvsviZUCJcjxhEpegoZsQhVv1qDhnFAFCTFkgSOhBtaEJFgJpqnahCpx6uFtE6rYhCpBD8U6Gp7TXqFT39mhaf1I21ajmb9w8iZZxNzYoiI5R+GUwVBZp6YyMK0fqfmMBF97ck/gjz+tiyoNs6OtEuMSEBsqFpHJkSxSYkmIZztkb/h7c7qWhb8328NQlIAF1aE4a4PAs/P2PxiotnX2UGV9B6UkxVNhVlLYOe1mJK1r7qKEOKKMFO9ybmzrpm117dTV3UuZqR4amZNEAF3Tsp3HUdPUSaAs4jZy02HySFBmIPwdbWan2S1kKtdYr29XRKzP8ACOD8f/UEelNz6voav/uZJmlmfQ774ymUqy46m9s3sAuejf1Mer6+nZz6rplDkFdNjkHGpo7aJ7X9lIT31SSZ1dvQoMf3jqaDpmWh7Fs5atW5ZuaqJfzq2gheub2Ouhl46bkUc/OXM8jSwawfbkJHqM+9y0o5W+eVQpjcxN1m3W1hsGErCgOgwmeSCGKJoqtNRAdq4m1hCXbW6mMSNSqJU11hcXVNPlXyrsy+Svy4euHa26sYOen19FowtS6JBJ2dTJ4HfnCxto1fYWeuS70/jvqXT3Sxvo4be2UHF2Ms1goNcpaytb6aYn1tJ0rv+Xy/cm9HPdI6vovlc30A9PKqVU1ljP3C+Vbn9mLb20sJq+dmSJEWDr8GDrDF0JWFAdunMXUc51bKrzKxrpk9UNdNKsAlpX1UafrKmnCw4aQVmGR2R4GuiUuZ9V0Y7GLvra4fkK1JZsbqRFGxrpqL1zafLIdNUEAG/VY6vp1UXVNG1UBtcL3TKAsod61ThSEuOpLC+Fzj+4mJ74uJIWbWylw6akUE4a0UETc+jDlfW0nB8kU8v0ADt077bGUJeABdWhPoMR4l8c0YMd/+dXNFB7Vw+dMDOfPmCwefqTKtYa22jOuCy/XLKboNICd+y0W+6qhEunXkpPTlDH92RP/G70TW1d9AWDWXF2Eo0p9ILwxuo2ZUPdZ8yu/mDXLeHjeQWDfE1TBxVkBrfzot/1Va00rjCVJhYzcu4ss8dk0mMfbqPFbA44bEqu+utBE7NpLpsZ3vmijvYqzWANPkKTYbuJaglYUI3q6Yke5kKFqdY2dzLINSmQm8RaIi6L5n5axeBaR7PHZvkFnC620T724Xb6+9tb1KWPE5NaO3roYD7S/+i0MQrgfMuKra3qsmjf6Vl9oIsLslS+ICvITOxXHW0DuGv5QisUqLa0d1Nze4+yk6ItKXHcBniq4ocALsfQJuoU5SSzVt5K9S1dlJNut1P0rNjB48SugsGT/ZDqWY7/8gZSX+ZxobODQev8A4vUV/uMzqSxbFt9Y2ktnbV/EZXm7X6Zk5gQT98+poy+9aVSv7LAUR11/JUlfMwHSJbm65kK9lTY0Kr9ldE8xhVbWqiaQduC6p5KOTbotUDVjbP3ntCYiFb3UsPZphsaE576tJsYOg8Gc6nq4CM/bJb1DHI4rq/Y0oxMNzR6RCrbOJsIZoHSvBF+RehhXyh8TMvW2nYG3DgakbVLKxXg8yd2fKfrxop6gTjyBdci1szhgVDV0EETinbXqE3Htaf1I7W2Tfl0w1e4acKFUTahisbqgPCHc0IVaKfOhCq+76vasKONKvjGfNW2FrqWb8kV8DAqwU+0tqmLFjOwnjqHQZW/6OYjP0q8ujGKD2BTJeXIn57CNlUGrWQGzz46nos45scfgOJIjq69XfSqOsoGzP+Cwgvsdl64+SZuUVo414FuLIEE6t3w4BTt4LudirO8Mz6BG21kN64GPv6jyDpxPljdJkexCVX0k6OI7APF4/vb5rIWbEIVh3SwYSBEm1DFm+AE8sBCCVVQDwllJOtUKJqkpCRqbW1V9VGQUAX0oEtNTaFF65qUHfLeS6cof1DhALbH25+poAXrG2kDXyKNyk2g5uZW1UZqCl8YJbC/pz+bKoOX2FSvZZvq2DxPH10y85LM3gGenRFUAqBA8WK2ccKtaxvbVvcuS6Eu9o9N5Pq4PMOFVX5GEvV0dVBzqzcBD/I5yAMTAJaSkkxpycnKWwGXWmgrO7lHuYR1dPdQamICleamMED3sry7ORAgUfnCIiggX9lxe/rk5NSCJG+E7oYHLWgwp/iEmh/I00mDvAw6NOgD48Z86tQXWWG/gVbWQ6j1Jv3YhCo7JQVB2oQqNqEK3JwkRDUtLY0ByGvLBPh9tLpOaZUHTOBLI3ZBchZcNuGy6uVFO+iyo0spM9NrcRLQCWhTZcCGNqtsqgyyvnSj2Jb5IR+7t9V10NRSr/vUWL7Qamf/2PdX1NKX2K0qMSmB1rLP6obqdjpwYtZOm6eHshK99t1Ezr4FrRcPDdE88ffJJWn0OIM9XMSOmZ6n6r69rIrBNU5dukGX9ez0SNhc4/U48F6OxVN6eno/gBJvCZtQxSZUCfrw0bF1OJ/UOvWdHZrWd27SUE/NPe0nkn1FmxwEeJx8fbSqnkGsnk7aJ9/vzfo0dqCHJvfu8lo676BCDuvsfzPvz6ba2+M9SsfFJ/RNl68sZvJF2OscvbWhGpqv18Vp8sg01pRz2eugmh57fzvNGJ1Bf31zMwN9HJ2wT4Gqg2M97J/oNzdtl3uVs/0Tue7rS2roH+9sobyMRNbCuzhqq5IOZVeq6aPS+gDY637FoMoPFGjBUoLNW7TNqQ7PgfZUJMYSqT7c9BMIC7QuqkyAytaNTQk4b/+dCxAx9vADPWSn76bv6Mv41v8QDh+Ff+e2us7dQNWftNraO9WfU1kDDFTGsW8q3KPgqwptOZWxGpaPK44dxYAZT3e/vIFaOrppCmux1zncshAyizDWjNQE+s7xoyiNtVnfAlPBHRdPpFufrqCv3ve5sqlewM7/lx1dRm3N9ayQelhzzlQBDvBAgB9uJrdni5UAJGBB1a4DLQkEiqg67+AiOvegooAJSzx8vL765HIFeCax96GYSmH75pyxmfQqa5RfsLfB7DHp1A07J/cHF61LDh+p+sSRHfZXKakMosfOyGcw7GR7KNuI/YAq6hZxWOvdl0xWoa9A1SQGalxULVuzlZCDGKD67vI6GlWQTEfslROKXfv9MJKABdVhNNl7MtRAsf8KKIN4RKkLNL66SuBLnYEuJ88uoJXbmtmdawdNKk6ljORdyznJTxQW+sfl2Rq2s2ZyRisc23t7kSTGvy8sbLrJPnGtuF9ITvLQxtpOWlBRz1p4rnIds8VKQCRgQdWuBS0JeC8r49Sljm5sPhqW2+vUMIAqju5n7FtEyAGwAOGjbGYIVZo4YgqAO4qTsMTF9TB/fGHlc7kWrI2MjHRK4zcfvMJAPpEjx45jrdcWKwGnBCyo2vUQUgId7W20eeN62lG1XQHq9m1baHR5ubo5H+yyd1k6x92nsXtPj3LxgftTsJLFdlokR4ECivduwbUKDwzdUldXxy5IXXTRoaP6fFd1aW294SEBC6rDY55dj7Ji7Wp6+um59J/nXqOFS1eybTGB1lf+mq765kV03LHHUnaO9+Z9MAtMEJ3dnewlGhcSVGGp2JNAN3EDdpP0ejBlZPuOnAQsqEZO1kOup8WLFtC1P/4Z/W9pPaVNO4syT/o29XaxLXHbQvrGdb+n8/73Fv3qF7dQfr7XXWkwSw/bSvcELAeTd9t3bEnAgmpszeeAjWbL5k10511/oNcrEinr6Bs5+Cm17z7Kk3MKteVPoX+98Xcac//9dN2Pf6yii2yxErAS0HSpSubQPdjSQr2S2ClQ2KrwKmMTp1rYw0BjUtzQYByICjIp4MvkggZtw1YXysbnywMugkxsfKB3Q4M5BV2g8ulH79MzH1RQ2qxvU2JKJvXy8bovJUlPJyUX7kW9Y79Eb3+ygE5duoRmzJzttylTmaER0zXglsZ0DaAfjMeUP/Rjsg/QTyRo0IfpSxzdjt+0H8jYdO+Y0mBOQGPCG/YmZID9E6h4Pv/885DYgjjvFStWqDhhXWBFXcSLmywOXDQgThihfrrFDQ1upDEmk01VX19Pmzdv1oqRFt7d9IM4bNCZbFw3NBL7H6ifd95+mxp7s2hE4WTqbW/oPx0IIe3toPj8SbRkzWJ6/tnnKJ7j+P0VxInDHcsEXLEGBMB014HE8Qdb7L5tYX1iQ5nQrFmzRq2bkSNH6rKm9gEAIthDzB9v2GsmD1j0g/q6exQXdeBJtz54XLZsGeGyLjs7W3v8bvppbm5Wa8YEWE1psC7BmwmwYm9+8cUXao8Gmk/P2WefHVI4AEhsQiw+3SduqKTG/jp1+kKGZGpnhUjRALwBXibgECne3PQjGZoCPaWrq6ooefSpAW914N+ZlJpF9R3x9Ps/3kP/eORRv1MWqh9/RNFMI8l7TMDO7Xgkb4DuXtB5MaOzLdP6oMXDy/QE5qafSNC4xSisAQBqoL3jWbx4ccg5QyOoN2vWLO2nGoSCJweiT3SBGMCFJweiVXSLGxo8ZbA4wJtuqampoXXr1tHs2f6Puf7aAQhDdib94OEFOhNt3Q0N+IIcAvXzu1//gn72988oc2dmKt/xxXGoZkdLHeVyFqcbb72ZLvn6N/2KEnL2ZrPSN+tA40IxpcE6M3noiUuVCQ20FMznqFGjdJeO2geSUEWXCDQALxPtFjQmpqCmpialKJk8IObPn09jxoyhvDxvohmdgn5MzYeNjY3qRGCiqZrSYF2CN+wBXRMA9ubChQtpxowZAU84Hp2jDxYEFrjJRhdhmyxY0GBj6PDknExTGrSPyTLpB2OHDExo5GhlQoMFjokLNw3mFKAaqJ+9p02j7Pg3qL1yOdtPJ7EXPwOd+BNxopOeuATqrFxGM4p76MADDw7YDuSMxWuycWWBm9JgHZgcZSXrlgkN1oDpOsBaRR8mAAEayQ6nA1xSB2tOV4nBvJicPuVBh71gsj5NzT/oB0qZyUPVLY3pAx/yFSwMNJ9at//YfNAI8VN3AUIoEk2jO8nSh8kickMjeSpN+hEZmNKAzqQIbyaLNhw0+x94EF107Jv09/fnUkfKJZSYms15RJDur4dzknZS88Z51LXmf3TE5cfTjH1mBRyirAETgBSZmdKYgqokJ9Zd0xikJOs2nVPUNwFVyY9roqnKeHTlhvrgSbe+jN/tmjaRs+w3U5npBIDI3AFQ0Q+wSldTdWLhHoGqPAVMFhLq6iS+NW1zsOo7s90PFg+R7HdkSRldeeWVVFl9K7218B5qKT2aknLKqaeznbp3rKLUjf+jc06cTt+6/NuRZGvQ+/LN7D/oDEWYgeE+fh0s1NJU8SQzPfoD+U2P/hFeH0bd4SlrcuNp1HiUVoYJ4I9/uIv+9vd/0KOPPUZr3l9NicmptO+sGXT5L75Pp51+Gs+xvq00SodpxBbWgIlmZ9T4EKiMPW3iNTMEhmTEIk5DWVmcjD2YS5VOizDol5SU9Du+4OJm61ZvGrRyxIE7wlk2bNhAMBoXFhbSiBH+X/im02801cHlGS5Qli5dqjRwHMtKS0v7HjaQxY4dOzi6KN/I3WawxoijCx4UuEhav369YgOXL74bpnhkCf34uuvoiMMPo9/97nc0duwY+tGPrqXCouLBYj2i/eK4h7ltaGhQ8w7lAutaSnV1NW3btk09cMvKyrTtmREdhMvOcJTGRQ7WhDxIJk+eTNu3bye4GGJvFxV5356LgouyjRs3qqM0LrNMTBcuWQw7GS6Bse+x/zEu7Bm40+HCUl5HBGzMzfWGa0MuITXVTZs20R//+Ed16/3lL39ZASvA47e//S09+eSTNGXKFPrZz35G+++/v1p08Hu96aabVKennnoqb8Af9VuEYZdCmDqorKykG264gV577TX1lAIA/fKXv6Q5c+ZQRUUF3XrrrfT+++/T4YcfTj/mCKOJEyeGiZOBaRaLA4vlueeeozvuuEPN3Xe+8x264IILdj9h4AIoEe+G4gCI1HRKSo7Ma6EHZqR71sry5cvVGsZPgMTBBx9MP//5z/nhMlb5Lf/+97+nuXPn0jTW6vF33Aqb2AH3jLvwUeOy9DE+nWDcV1xxhVrvWCPw0/31r3+t1vqRRx5J119/vVKq4E3yr3/9i+7nCDvI6dprr1X73+RuIHyjcdcyFMOHHnpI7ZPvfe976oEKufzpT3+iv/zlL32X3TfeeKPCRvjvAisDgiqe0Fu2bKF7771XCXfvvfdWjeDvzz77rPodgoWLxT333KM2JrTVhx9+mC655BI69NBD6cEHH6S//e1v9IMf/GDIH5mgreTk5ChQBWCK7yE0djxcZs6cSXfffTc9+uijaqPhoRPtT+r33nuPPvjgAzVHmDssFBxt/PkuO19AF0u28lDbDSByxBFH0J///GcFHuI/CRk88MADSkOZN28eJ515Wq0DaKzjxo0L1WxUfw9wePPNNxV4Yl2LlooTK0AD8vjDH/6gxv/444/Tt771Lfrss8+UIvXII48ojQ5KBjR6KBm6F9XRIhTMLRRHjA3jPP/88/selDix1NbW0l//+lclB/F1xf548cUXCcpXQFAFMQRUUFBAl156aZ/2gicSjjvwWYXQJk2apBpetWqV+jfUZQAw6DAh//73vwlHJJMIlGgRrpMPqPUQNLQTLBKo/DgW4e849hx00EEKkAC4ACscqXFUiuYFhQcCeMYcosB0gYfkmWeeudttqACpqUN6NM6lCU846mIvQMHAcQ9HfIAM5h3/njBhgpIhTnKffvoprVy5csiD6tscTYexfOMb31BrG3seBWCLEw7WNR4eOKU98cQTak/g2I+/49gP7RTHZTyQDjzwQO2bdZN5CWddzCtOcJjz//u//1PaqXg84MECHAB4QouH+QMPVsgI9XFiDwiqcO7FsQeqL57SsqmgEqNBPIFQACxoGJqcAAgWGQoEDwYxGUMdVKs4wgiLDYCJRXPRRRepIwHGBpmIbQnaLMaNBw9MI9Fa8PADqEoOAGhgmDc8ALFwfAMWRDMX385oHddA8oUxQx5QLp566ikFFN///vfp3HPPVaCK7+XyEkoENh/WyVAvp5xyCuHz1ltvqdOoFIwNDxRZG1jzWPt48MBMCIUCpzOcYnHfgL0Bm320n9h85wsPDpy2gV04la9du7YP2wCoCNV944031APmmGOOUWZBjBF7Hg/X3WL/sWnkgkkclmVDoXNsOCw0KaK5gAEsNHwv4Crf6R4X3Wh1A0WDhweeuBJ3LuODDKDBQQY4BkCA0MphFsHxALY1HAfcjnmwNiAAAIse4OqcS/zuO1++7mS6Pn2DNbaB6hfaB+YVdwbYZHig/vOf/1QKAj6SOwD9yfzrrvWB4tG3HTf7wbcNp03YOR48hLFunGsd32MNAROgpcp3WCNOWjd8hZvGOQ5/MsAYnNiHOlgT0EahweKBistbmM1gUwUOoOwW+48n0VVXXaXsJAAU30bxtMbRV/4uDrRAajyt8RST7/ATH4mq8W3LdyBSHwCtUyAU1AWdWxoBfhxVAJh4CjkLABUXT+edd576oEydOpX2228/WrRokdJG8cSW44Hw4hyzCW8iA11/QPBvSoPFgvnC7S20DCkyP07eRcbOMUh/oQBEeBNQDlVfwMm5fkxonP2FWj9SF/X8yVqyrP3kJz/pa+qQQw6hl156SSUXglYGzd4576gogCRtupmfPaHBPPkCWiBZBFo3chrxlX1xcbFaNzI/0hdOq9BMgR2y3wG+4EPGIjflOvMpcwIa3fpuaGRdStCEU06+gCp8HHDAAYSPlOOOO67vMgu4iHp+Y/8BpoG0EYAmgAZuUyhQ/2FLgBEftgUwCMTGBMBMAL82mBIgbGixwQrqSMKKUJtCNiAEb0oDHvF0lcUDHmEH/s9//uN3ElEPY5K0ZxKFMXr0aDVOhK3h+AOwxRMbGjtuS1FP4th1xyP2G/Sps6BQz4QGbeLIjw+etKtXr1baOdrB0QZziE0CmeIjl5NiVwM96mONhHpYoE3JUiUG/VBycEsjYzB5GAWiERlhD8CeCjmJtwSAQ05ykDtkhgLzF74DuKCgbdms+B1y1AUJyEDonReEwWTnpAEfOmsHfUBeGIezvoSl+/aHfQwbK9Y3CuyoWC+iuQMHBExxp4AHD/YMMELckXT4Qtuy3kxORaY04CUQjZgxfGWA9QBZS34SYBr2uqwJ7KeQsf/oGIKSBYHOcLv50UcfqZ8wzKPB8ePHq4nB7++8844SPC494AWAycCiCpUoRZ58oeo5B+qGBgvVX0KVQLYfjOWZZ55Ri+Poo49Wx3/4q1544YXqAYMx4xYdv0N7hUkAFxpYEACoaEyoAhniyfrxxx/T//73PyVSLJATTzxR/S7Ai98hL5ENNhzmRzcuG/WxLnTroz/R9kxpsNhNAk4wP8GCVKDF//3vf1fzCu0EskLBwxO84WSGywrc/sP+iDmXSz+nvy/4Mk2oAhrThCqgMUmogvrBEqpIZjYBQrkvwE0/xvfhhx8qVzKsI1zY4e/wGsD84bPXXnupMchaMglThZxNE6qY0mBckEGghCoSkuw0eQDbkFzqhBNOUICMvXPYYYeptQAMfOGFF0L7qUI4OCZCoKLaw/8MGZvgFYAb/ttvv10tPJRvfvOb9NOf/lS5Ilx88cXqQmeo++3hmAfDPdzG4G6EhwRMArCtoJxzzjl02223KR/Pk08+WdngJDGK75Mumv4Nn0sAKfzssMAwJjw0/BXZWGIuiaZxhIsXPCxPP/10JZ/f/OY3ytQDX1SAKsrll1+u3Ocw77jlvvnmmxXAxEqBMgAZiEsVHlhXX321cpeCryZkA1siQAneL7iTgAwAotgP8A5A0dVOo1FuOKUA/8T+evzxx6tTOrANoItQbux5PMxwaQXtPaTzP54WAEoBVAwcwr3mmmvU7bdE5ohAYAaA3yM6dJNlJxoFC4Ficf3iF79Qi0U0AuEVQr/zzjvVxnOTjWgwxixH92P55X3wt0MJpKk7j+6i3Q0Gz5HuE/MMNyE4tcuJSGyEkAPABDbXH/7wh7vtg0jzGo7+8NAFWDqP4NgHd911l5KH71oHwJ522mlB11I4+AxXm8C2k046ST0UnJnTLrvsMuVuJntGABe4iECJkKAqDMNdAE9haTxYxnQI298lV7gGH4l2YRuFGQA2VH9FjjyR4GUg+pDMVgCGUC4vYtBHv8NJUxU5y3rGv6GJYPNI+LXpmwMGYu4i1Ya/uQYO4KQWKFIq1FqKFO8D1Y+vDKBc4q4o0IlEmXp0OodNAUZoAIqu4Ridmyap1uFlsOqIy1UgUB0sviLRr9wSC6jqroFI8BbpPmBXH8rH2T2VF474AE6TJNV72mc00UNDx6U0zJ2BHixaoBpNg7K8RF4CzuP/cNRUIy9x2+NQloAF1aE8exHi3YJqhARtu4kJCVhQjYlpDO8ghrtNNbzSta3HmgQsqMbajIZhPL6aahi6sE1aCcSMBCyoxsxUhm8gFlTDJ1vbcuxJQAtUxQ9LfuqIYU9odNqXOiY87QmNCU+R7scNbyY0vsd/E1pbN7IScLMfIsGhG77CTRMujPKEit+GwCVphMlbFMUNR94KqTNxpslR0KYbGond1xk7+hCHbwEXXZca037Ql2lSmXDTYOzyBkmZQyfIhppXicXXlbWMR+Y2VPvyPfoBr+HsB+2L1q6bYyDc8+OUD3gy2W9u1prMven4TbBDZCZvezVZAyY0MhZ/CVUC9embOMlfPU+oJCdYSIhxhRDhqymx3KEGKslRTFxwBiOhSqhx4Hs49jtlIFl6gtFi3PDvlQQTOkAsNLIxwkmDhDI6mYMw31gjkiJQEnDg36H4k7UjQBSqvjzA3CRhGciEKoHmVZLIYOzgUQcoIINIJ1TRTcIiCVV097QoFxg7aHUfYKb9QP6myVHc0ARLqOJvDcj+FCwMlCDHo5O8RMJNEQusmxQBHcNJHDS6aryb5ChuaAIlVAkGkrIxTN4qC0DF4ojGhCoCCjrjQR2Zd0nyoRs5M5QTqvjVQvghA6dvk2QvKspmJ53OQ1weLoOdUMUfr1AwMHaTN6pi/IhC08UO6XewE6r4G78oSdgT1vlfdzXbertJwF5U2UVhJaAvAa2LKv3mbM1YlIAF1VicVTumcEnAgmq4JBtD7drb/xiaTDuUsEvAgmrYRTz0O3BqqkN/NHYEVgLhlYAF1fDKNyZad97e69zgx8Sg7SCsBFxKwIKqS8ENJzITv9ThJBc7VisBfxKwoGrXRUgJODVVHR/dkA3aClYCMSwBC6oxPLkDNTSrqQ6UJG07w0ECFlSHwyzv4RitTXUPBWjJh5UEtEB1TxIP6EZTQeomdWWWIkXjZlW44c1NP+Gmcd7+24uqcEt7z9qP1jXnhq9w0+wJrgWbJZtQRWMND/eEKpK0xmkG0I37tglVIpskxyZU6VK5OnSKTajiR0qSlQhx7Lovo5OsS0iKofskHM4JVRB/joQqiHlGwU8sxlCJeOTk4SY5ihsam1DFm7hF3pKrc6IwTXRiE6p4kyTZhCp+wNgmVPFmAYIcdBKqIIEGHizYqEiKgc2lk4gHorcJVbxmLZtQxSZU0dGebZ1hJAFxpdLRgIaRWOxQrQR2k4DWRZWV2/CWgA1THd7zb0dvJgELqmbyGpa1rfP/sJx2O2iXErCg6lJww4nMJHP/cJKLHauVgD8JWFC16yKkBJyuVNamGlJctsIwl4AF1WG+AHSGb53/daRk61gJeCXw/1Da3vpJ+8p3AAAAAElFTkSuQmCC)
(i) Given, t = 1.5 hr.
From the graph, we have corresponding y = 90 km. (pt. E)
(ii) Given, t = 2 hr.
From the graph, we have corresponding y = 120 km. (pt. F)
(iii) Given, t = 3.5 hr.
From the graph, we have corresponding y = 210 km. (pt. G)
Question 27.The ratio of molecular weight of Hydrogen and Oxygen in water is 1:8. Set up an equation between Hydrogen and Oxygen and draw its graph. From the graph find the quantity of Hydrogen if Oxygen is 12 grams. And quantity of oxygen if hydrogen is
gms.?
[Hint : If the quantities of hydrogen and oxygen or ‘x’ and ‘y’ respectively, then x : y = 1:8 ⟹ 8x = y]
Answer:Given that, ratio of molecular weight of Hydrogen and Oxygen in water is 1:8.
Now, Let the quantity of hydrogen and oxygen or ‘x’ and ‘y’ respectively.
![](data:image/png;base64,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)
⇒ 8x = y
⇒ y = 8x is the equation.
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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)
From the graph, the quantity of Hydrogen if Oxygen is 12 grams is
grams. (pt. E)
And quantity of oxygen if hydrogen is
grams is 12 grams (pt. E).
Question 28.In a mixture of 28 litres, the ratio of milk and water is 5:2. Set up the equation between the mixture and milk. Draw its graph. By observing the graph find the quantity of milk in the mixture.
[Hint: Ratio between mixture and milk = 5 + 2 : 5 = 7 : 5]
Answer:Given that, the ratio of milk and water is 5:2.
∴ Ratio between mixture and milk = 5 + 2 : 5 = 7 : 5
Now, let the quantity of mixture be ‘x’ and milk be ‘y’.
![](data:image/png;base64,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)
⇒ 7y = 5x is the equation.
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,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)
GRAPH:
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yS5xcs+p7PZL/VfJ7Hm+cXcMQERzoeffTReM72+OOPl3POOSeeeaTePd16/UIbHHu80e7r+KWcmNFhT9JaKrOcR7HMasNrv265xyPb12YLOfQtGl591E2N4vl3rYw0c8qtdyz5u6LtOvjnYOdh75VXxSZXP91F38PGK8+xH882crDT5Pf4Y9tV+0ZO+1X593jLsY06/OXUrWN3Rf7LfvHll1+WW2+9Nd7YhaXVq6++Oi6tFt/z/EauT/Bsp7t8dg5/TXarh1JT3iDQINAgcBAhgAsBcCHJs88+GwPixRdfLGeddVY8TnYwPk2QPBi13sjcINAg0CCwGwHmmyCJBjfl3H333fHuZyyt4q5V3CJl7Scf6EC2FKfLnNpbyx7WkmFx6p5qI6f9nOXaOksnddr3ll48+aylmdy6Fv5eG1Z5Xdm8+l1hG57sXnmO7r1ln+62vRT9OnottldV/rr0c+rX6Rs57efIrvksb0m1u+l7vFe1ey5hYl8O96ziSx3IWh01apR88IMfjFfKoQz7kjiD3R222Z3YFXGp0287HAEpHsEoAwKwkFjCYxbaLQpMA06NPMAo0m21UYlFH/ygriYs0/DBo3ZEhccbtOxWXu+llfMrBBoPKIcM2vVfTMNPra972FB+q0PwmISWwKHJD32gzDqiQmy0vQEPG/LPUWvZvnjMQUue8I4fefQ9bHjEQJOPX1NIldP2KGOqb9AmNd1Y9C1sQNPiDeXFVPdymj71YNH3+iXpawMMHm3SfAb7DGYyKd/Q3fTpVzTavFpN81ue/LRdzS9U9ZmwRfoczedpPpPJNgsWLIjXVj799NMR+7PPPjvetYrbu6AP+oQqPpMxQzsCAnvhsTkLG9pwyr7q+KWcmAH8WnC4nA+zwIp/KzKGM1bW3at04Lh/VAuSCAZa+x59tAml4UxO6oEDAo/a/aegjbqWwgGKxh/rWferMlMtxR/4B/1U+xxRabSLhmLRRxae5ogt+YmLRp9nSOtgA92hfgp/lKHTa+1DZsilyZ6jGwsb8qYFSdAGBhp/1Ltle7BNK3Nau+jBw8bjDbYD2wNvWt+x5Pf6JejjHa1tDoysu1vBH+TXAhX0q2Hv+QWPPvqF5rN4/EXjjdhafgnvWH7Bou/5BU46NLvTsEE9ZKzecccd8QtARx11lFx44YWCS/D5QJ8efU6a6sQMDxvPZ2OQUtUveTGjubtVG/o2f28QaBBoEDhAEcBHkPG1IHyMHbfk4CMImD1aR4gOUCiyxGoSd7Jgal5qEGgQaBDYPxHg7BzJOLhK7oEHHoirNlhaxc/gwYPN6zz3T6m7jusmSHYdlk1LDQINAg0CXYpAvLWmZ/UmscSNxBtkreLGHHwJaObMw+TicJ3cxEmTY8NbNm2UvnHbrcfbCMVLKGrQD5dYHlhfAeE1PZpKtP2a4vtWGzntWzS8+uCjTn2vfU9+r77FX526xN9rw9ON1RVz2va6skff053Hn1futV+nvI7stAuNfg72nm3W6Rt16efUr9M3ctqvqlvWq1rf022qfMfOXbJhS/gO49Zw1214Yfv2EKhwf2rvnjK4f0vwcW9Zm6f3V199NZ55xMUAw4YNi0urJ554guzs0au9kQ3be8qq1VtlYN8WGdT/rb/jhc3bdsryDSKDZXukXX407FeuDwmU23dJ7/6DZOTwjm2u27Q9yLdThreGHIMQgfEp+63bd0pPBOReHQN1V+g2p29aMa8Fm558mEWWWpsGs7xI2fpALy9C1hJ30EaRZpE5iz7eYwZXKvED/LG+xh8z+KzEHetqOGZQaobJLDct+9XKYEWZhQ3lt5wJM9m8DMqy/PiddTXdMHFHy/DzsAHfaJvXy5WNEokPMZMsJIGkOiKxtXRbBxtmRVu6ZRJHij8mt2j8EVfrSkL2nc5gQ1w13ogJ8LXsy5Lf65f0C1ZWuFYG/tC+1Tc8+pZfYL+x6IN/6F1LGvIyzz36nl+g3nk92z/fukD+56nlMmPcgBg4wNvmbTvkxEMHy/vOGCu9erx1UTwzZ4t2B36xtIpvPOJKOfyOL3VcfNGFMmToMPnBY8tlw+Zt8t4zx8rNjy6Tnz65XPqG6eqW7TvkHSePlqtPGBUD8SuLNsrf/c8bsj0E7S2B/tUnjgplIyVcXioI5HjoFyLvoY31W3bJf9y7SJ6Yu056h4CH1z558SQ54ZA2q77t2ZXyg0eXyrYdIVkqBP3PXj5Rpo0ZKM8vWC8/C3zcdN4EGTmoJdjq9vh+rs+u4peAK/uF1W9bimnZxTMrZUdfNDKUaencbCNVbpUBENTRzs1AoLr8WXx77bMcfKbOLeXW1+TzsKlLv8h3WTdl3vkunXWubBo2bKeqbcD2irhp/FfVDesxizQVBHNsT5PPw8+jz36R6lM5bbPvarbn0bf05tGvUl72PRb2Vdov67czeivz1lX0qWPwtnzdNjl2yiD5sxunl1mNv28LAYu2OqB/X5k2eVwYXGK2tjtwbVorixbMi0usuAgAX+qYPn16HIA+/OoaufP5FfKH75oqLy3cKD98bKn82uWT5YSpg+Xp+evkD7/zmowZ2keOntgqn/vRPDltxhD5+AUT5MUQxP7ov+fIpBF95fjJA9rpt+sm+O4QveXuF1fJ43PXyufeO0NGDe4j33t4qXzuh3PkCx+eKSuCXBgAgPZxhwySf7t9gXzxjkXyB+H3IyYMlHteXB3eXyK/dOH49vjSnT6bfqVo/ynbaCmmDrMTaqnaSKFHZLc+qok20KY2cmN5SvtUvEafkV8rx2gCvGn8MU1bmy2gPsq09smzVo72rct6gQmwsepbxzty6FuXeBP7lPzUmYUt+K+KDXjHjAB0UvTZ2TT5QZf6TXqO3X+0sLWwsY4woGmeqapqe2ifMqT4t+jTMVvHXzAStnRD3VnHMKzjIeDZok/5UrKBf9C3+iX7hnY8CO1W9Qs59DWfhT5j8Qa+PL/k+YWyz8SSY6+eHZcoi7gWcVy6uYfcN3tTWK5cGmedcdYbZmHTx86UX/7kdBnUOiAcjxjQxmOIoT8PM9TDxw8Ms7U+MqBvL/nHj86SQf3aVm+OnNQa/t47BjO8i9li/z5tG5KDwlIr9ibDBFB6tfQOP20ctfvM0K/xnHv4cLngyOGxbTwnTx8sP3p8mWD59ZnX18uho/vHAInnqjBj/YP/elWee31dCMZD5dJjR8jnQ2B+YcHGyAueHJ9dxy95MQP9qlMXnJdHUVqH0N5LzcCKbdQtR1sWj2xfC5I59FMy829efYu/OnVz6Vvye7r1+PPqU3a8ZwVJDV+v/Zzy7rSNXNuz5KuDjSd/Ln9VdZODrafbveU3LNsmT3Xl60x9BLtfPBuWRLdsD6k0bXt023bslCuOGykXHDW8A4zbw9/XbsT+X9s5YzzbQyTbvquXjBk9PASZtu+IYgD02uINMmfJJrny+JHxvQF92gLZju1hGyQEvu+HWd+KddvlyAmt0tqvl3zmssnyzfsXyWNz1sqajdvl0kD/pDDjtHx2eU/zP+5eKH1aesjU0QPiTHFIcc8zsLt+805Zvb5taRUBFEH5uTBrZZDsbp+d0y+a7FYr6jVlDQINAg0CexiBnWEgeVSYSX007M/xQbAYGZYvy8/4YX3lI+e2fbYq9WwL+4xMhXl9+RbZuHWHjB3aNuvjgwB5c9gn/GoIaL92xWSZMqqfLF+7Ne4tHjulNS65LlixRb73yBI5KizDnjStY6BM0YUMf3/LGyHArpP/74ZpMfhtxTS09MS/FHJ1xgV55izdvIcRt8k1QXKfUkfDTINAg0CDgMTl0MNC4k7bg1DSMetz/vz5cQa4rf9Y+dYDy2RTmHX23P0KskrPmDlE3nXKmLBsGxIaw3YhW4n/Uzrp8c+3viG/eGal/J/rp8XkIDxPhyXQ5eu2yjUhWWd4ay+ZFZZofxaWam95ZoUbJJGZ+2c3z5UFK7fI3910mEwe0Xar24C+PWXhyt3M7GajNfytmDUL1nJWRfakjXQIktoyZGcYQhtaO177OeXeOxavFm/Rdoq51YmGvPI6bXRV21Y7dXXjtZ1jJ5Zt5GCg0fDqerr3dOe1X0d21q2KTVfwZsnvte9hm1O+N+nn0PZsPwcjy3aL9bEXiJnYW08xqu0KlwE8KLfddlvbkY7r3ycfPDNko4Y9TLov5NAMGdASg2acvO0uQNJNv969ZEk47jFpeL+QibpD/v7nr8vcZZvknz82q8MMc1yYba7fvCPuI553xLC4p4gl1zPCrNJ6lq7ZKv9fCJCDwnLtlz95RNjHfIv3Y8Ps+Echs/aJkNiDRKFbQ8DFHuhRk9/6BNeiwNsphZlqju14usnpm9Y7LZs2bWovZxp+MeuHhTwmwLv6tAtp0R43u8uEMULgZccppooXGZdHEwCCqdapPQRswJI3XtZdpmHxhvaZzpySH+W8ILyYiVZ0cLysFxvrKf5Rj3iXyz1scuij7bjRHLLYUqMxlKf2vfA+scGlxniK9YvYlMvoYCxsiBHe0Ywe9Ei7rDfP9roCG4s3tM9jDvj/Mra0PfDNC6eLMpA/JnCkdGPRRz3iW8bG4w3vAz9erg+Mq9DXjqcU6af6JcpBkzyk+gV4Y98AluV3LL/k+QWPPvDhBePlpCHU9XjLoW/5BdBH32tLfOodk5Mws7rl6eXym9+cvfsISNBf6B/jhvaT958xSpYselMGDRokp59+ejhnGPYf1y2Nd67uQnSMHRJJN+GcZQhy9Jk41D99bH85dEx/eXLeWjkpzBjvf3l12HNcLKdNHyL/+IsF4ZjHzhicbwzHTFCOpdfvPLhEvv/I0hgwEbyuDEdA1m3aIT95YpkcHwLdzDG9I369kJgVeP9+WLbFMQ8k4fzvkCmLWe3AEDA/cs64MAMdIh89f1xchh0QgjVOgYLG4H5IDtop85ZtiedDkem6a+d22bxlW7tf0o790WdX8Us5MQOydchu5XklK7uV5wi1815WFh+MnxmOWpDE360sPXSYOhmGVuYtFaG1z85rZQhal/WiQ6Fuqr6HTdEILPrWJd7UTcoZoE3yl9IN6ljlHjZokxmYWgajlfkMXGHUWvawRx+yW9jw4n5rNmdlkBZ5S/UN1tX6jUWfgzItu5SDGC+7FfJr71j06Rcs+lZ2KwfNlt3StqyzilX9Qg59LfMYclm8sa9Yfilekh3sV8vupU9sk72H/MrFE+V94QxjiBfh7GFLDEJxELVrh6xdsVAOm3m4XHbFVfFS7zVr1sja9RtlFy4HiPXbHtzSw9/i4Kx3nzhQueTo4fLfIUFn0eotcvbMoXL3H50km8KRkm0hmMVl2PAPjm7gOffwYXJcOIqyIswi+4czjdgvjP04TE+xv7g2zCx79OoXbQoBskdo//1njZN3nzpGNoW9zzgjDj89w2wS+6CY0L7jpNFy1sxhcVY6ZkifkCAUSIZ3egT+bw1LvseEWSVmlmClb1iKJTbaaYm6fsnLbo3xrnz+Eb9rDHEWoJUDQNZPvQNHZrXvlbPNqvxZvHm8s7z4bzmYeO0DP01+T/auoG/xR2OzjNHSnaebXHy9zmCV19ENZdOCZI5uqV9tkOHhRx1Y9au0jTqW7RV1k5Lfs03wzXeq8MfVjap9w7M9T3eez8rBro7tDRyIIxpv3f2Gm3X6hQCydfMGefLJR+TFF1+KsB4ZvtQxbfphMnza1HaYwZt2QUfKZ5w1a5i8uWqL3Bpmex86e1w8qrEzBMieLW9PCkJ9LNsO7hMyZwvlq0OAGxAScZDgExTfblt4H8us+BHpHXlcs2pFCHTbwzLvmHaescSKHzyYRffr1zucw9wQ90A/ev6EOHuOvBf8ZXf5JS+mgW6TuJPq1fvx37SbJyCSNYvej0VuWG8Q2G8R2LhutcyfP0/GjBkjw0eNi3Jg0IAvdWDfcc6cOTJ27Fi54IIL4uescs5Re2DccPrYuHzKdKBNYVmzf8+whxkCQvkBLxs2b5XW1reC6NCBLfFmHtyogxUI61m3YVPcqhjeduok+WwPQXpqWAb+9SunxKv39rWnCZL7mkZq8IPlnPXr18vrr78ez0Udeuih7clIa9eujX/HzRvaofEapJuqDQINAp1AYPXKFfJ//+7v5K7H58i6XQNlQI/N4ZD9EHn/DdfJkuUr5bHHHovLmFdeeaUce+yxMmLEiE607r+Kc5B8tNUTrbyYjONRslZXinX3xeBI/pog6Wl5PypHgPz6178eLzPG/19++eVy/fXXyxtvvCH//u//Hv89+uij5aabbpKhQ4fuR5I1rDYIHDgILFm8SH7p135Pfv7GaOk54Trp06+/bA+zrUeee0Z+fMfvyGWnHyYXXHy5nHnmmTJx4kQ1aevAQWTflqRDkGTygcaytfbdHnV3J1ik2sCowvqwp0cfdVP3V5IWlgus5UbUt/ZTvfa9j5JaV9KBR0t+DxvU9+hj5Hn11VfLpz/96XjB8R/8wR/Ei40feughmTBhgvzJn/yJ/MVf/IX8z//8j9x4440dVIS2rRGlljFb1Ltn6hb+ce0/cbk52/Rsz8PG002O/JZ8ObZn8WjR97DxZAffOW1o+s/pl57tWP2OV5tpfTeHvuUXcvq9RZv7fpr+c/xGUUf/+q//Kj99baAMOfFdIbkmZOeEhJwwlQyHI6+QhU9vk2VrZ8sN77kuKM2fw+TIZmFDv2LleXh2a7UPXD3deO17Pts6V+n1jax+u2DBgnbdQxhmAaYMYt26dTGluFin/J71pQe8i/rW/ZoWfWbZaYJjSRHtF4+1FPljZq7WoT35uf6u0Uf7FujgC9hpWW4WNpDDog9DaW1tlUMOOSSKjC8A4HLjAQMGxG/I8e/Y+5g3b15sa+nSpVHfMOQ333wz4gb+gE8qDd/SjYcNdQ/ZteQQtKFhs3HjxvhdPM32PPp17BK88yiAxt/q1asjjtoeTR360IWFjccb+MfKwsKFC9Wl9u7sl+DdCjQ8/oHtgJRD9Pql5xc8+t7XadAvNN5oG9CR5xc4EHrsiadk5/CL41czdm3bfbsMNgi3rZf+k06UF159WOa8Olv6tQ6NAcbSDY7XQLdav/CwAf+eX6xjG8i+hQyaz/V8psebZxueX0BMQxvAMPXEIyDFgIWXwZR1xAKOwErFhrHAkWibwCi3gqRFn58z0RwVA5R1hEPjjcZuHXOgoq0L3q0RO+prafg8Y2Zha9FnhiDw+9GPfhSDJGaUCJTlc53FdjhDIy5Wmj5ksy6ZBoYWNpZtcLSptc/ztXXoQ1ZtxkDetM4M2/OOH1l9g060Cn0PG483ziStIyCW/J5f8PolMwi1IFI8oqEFyTp+waPv2SXtXpvRePIX8e/bt4+Mwv7iK8vDsQ0kqew+d4GXwnGK7WsXyfiRg6RvvwGxL7HvVu2XObzV8dnFIzKpINN+AXpY5dIey2davNFn1/FLXsyIx2dGjx7dgXc4IyuDCiP6cp1iA159jHysxBGrvjdqwGhgyJAh6ia3xxvksN7hBQqao+MXUjRHu2zZsoidZvAeNh598P6Vr3xFMKv53d/93XjgGA/2HzF7RPuYMSJLDg5r1KhR7arjeSRLt9aI0uMNhDz5LOyBGTqMxp9H35ule7yBtuWoUR9OTePPsz2PvlXf4w3Yr1y5UkaOHCkDBw5M+qq69K2ZrjeLBkPLly+PWZzaU8cvePQ93Xi8eX4J9Dl4xHVy48eNkoF3/kzWDJ0oA8YfGb7PiEzTXrJ5RbgkYOHP5Nf/6IMyYfIh7VBYusHqCma6mt15vHk+r26/Rb+EbWj8eT7T0w34q+OXsPqIpCgtRwPYdlj0hkB0NiljBeDe+jbbSAUSHpjXOoJHnyNm65M7Fv9clrJGhFZ9Tt21IMlRlcafJb+HDTDz6GNJ6Hvf+16cPf7Gb/xG3If81V/9Vbnsssvky1/+snzsYx+Tc845Ry655JK3qYAjTk03KK+DDUd9nDWU6bAzW7Zh2Z6HDTurNpvhspQ1k6zTN+rQ97DxdANMPfuy5M/plznbJNZsiPxplwl4tgeMrMP61gqW5bOIC7clUvbp+SX4m0WLFslTTz0l999/vwxsHSx//Knr5H/uv1teeOlRWd9juPTZsUaO7LtEfvt33itXX/POdjK5erP6rYWN1y89+p7teTHD85nd7bO9vgX6/s6wOrZrCvY1BKZOnSo333xznLFF5YbZ4uDBg+MSI4ImZpgYNXkp3/uaXA0/DQL7KwKYRT7yyCNy5513Cva/Zs2aJRdeeKFMnjxZPvUra+JRj1fmvC4Txo6Sk048QYaP1r/osb9isL/z3QTJ/V2DBf4RGJGog5/yg4CJJYUmQB5ACm9E2acRePXVV8Nl5A/Ic889Fwen1113nRx//PHtM95+A4fIWedeGH72aTEOeuaaIHkAmQCWDrD8oS0pMvnFSqk+gOBoRGkQ2CsIYMXmwQcfjEurGJSecsopcvHFF8d8idSDPA/kgVjH1/aKIA3RiECHr4BgJoLlgdRsA44VG6RwwtpXNtAglvrgrLU9yZyvgGizHdBnFmhZf+APvOEdjT9+AcHak2S6eMo+0DYebW+Mt/1rxwBQT/vSBeSysAFdjz7a9oIk2inLD11Rb9ioTh0BQbuaXDm84R1+yULLYOSXMFK6JbaabrsCG2ZBpnSPfqHpnbZHGVPvgW8ugafap+wp20d7GjZoy+KN+gZttFHlKyCWXyjS186r0a61fUXuO8H2tD1JzS91BX3alEYb+Gu8gT77HBIHn3zyyTh7xDnladOmybnnnhtzAzBw1bCv6jNhK7Qrq19oPpN2aPlFzy/RL1gxg7aX6hegbR2dyvXZWjy3/EJOzIhHQIqZptxE1bJPsTEOULzb+LVREQAHUFr7Hn0IZdWHIVpp7qxrBUmAqvFHQ9Cyf5nmbx1RQd1U+x42MIIc+taXLiz5ea+rJjv0DkdVFRvwD/2ivhYk8Y7WPmwO+vWOgFi68b6QAtrWgXpgoPHHywqs402UIdWhiY0WJC1s6GSsrHEeT9Hwseh7/RJts77mrKw0fdRFOfjXAhVw0eTz/AIHCpZuNJ9l8UZd4Z3XXnst7j0+/fTTMnz4cHnnO98pJ598cntwBI9WwmFVnwknbh09ysHG8gueX+LExIoZ1rE6z2fm+Ow6fsmLGXEAVOyUHElrjoJ/t/a1ctqw2rdG817bDCTd1b4nf1fxpzmauvQt/rqi7WIgT8ng0fd0b7XfFfx79K3y7rQ9z668cuqiqnxe+11RbuHXFe3Xkd3iDUcw7r777ri0ioCEq+Qwe8QHkfnwDHNdv6T1Ka9f5Nqtx19n+3QRN6/t7izP9UuafM2epBaRmr83CDQINAgoCGD2iAs7sPeI226wtIqs1RkzZjSYHWAINEHyAFNoI06DQINA9yKACzkwe0SQxIUcV1xxhZx22mnxI8jNc+Ah0CFIetPyHPFzljW0djz6XrnHn1c/p9yi4dXPWRbx2vfKtWULa8nIW47w6ubU99rwsLPkyqGf035V7Dy782T3yuvyTv6qyleXfk79On0jp/06svPqMiTm3HffffLoo4/GJJyzzjpLzj777HiTkZXUVoe/nLp1fMKesr3u8vl18fH6LtpvKSqXt4KkFI6XmYXGWyhSBKwLa7E2b2VJWvRBi1l8qc198MfbEzT+vOupyJtm8KiPx7vDUQOe14eljmh42FB+iz7507IMNfkhD8rIQ4p/Ju5YlzhbvKGMbVj3c6aSG6Bb3mpi6bYONuRNc6bAh/ZZxoe2R/tL4c+saU03Fn20W7zarEzf4o1O0LMvi35Ov7RupKFP0LClTmmfZfly6GsZ9ew3sDmNPmRnICzSxvvMgHziiSfi13Rw9hHfaT3vvPPkiCOOiOXIfLUSl9C+pvcif9qJAMtnsm2rX1jYkD7vcC5jn2M3Gn85/YJ+R/OZOT6bl6Br8UjzCzkxIybuFAOCFWSYJcV3tHR4KEtTGK840oIQ66bqe0E6hz92tpSTZvsa/ywH4BZ/VEi5U6A+5U/V97DJpU9nkOqUlK2sO2YnFq+gKtaviw2NV6OPckt+yETMOFArOzP83dONhw0DWSoIWrbp2R7xq0qffc4avFr9jvxZ77BvpAJJHfqUnfpN9YuibmkLRR1YfsnzCx592ky5T3IwiLtW77rrrvgVECTj4FN0+PwcvrhTHFhqA6Riv4UerH6ZKrP6RVn2cr/2sCn2Sw4UUkHSGhx6/YL91eq3HIxo2Gi81fVL1IcV08B3hyMgeBmEtTRxpFBblzzTwHmcIBXZAYSWLgz6YFyjz86ulfOIgPUVECvNn99m09qnA7Hat75byDR365iClcafQx8zMetLE5r8PJphYYt2q2IDW2A6d8oRs4No8jNF3jsC4n0BRsMGvFl7SjxmYeHjHT8Cb1XoMztSw8bjDdhTdxr/lvz0CxZ9OBPrwwjeEQj2DW2VwfJLnl/gwNW6U7nss3DAHzPHhx9+WPBhgtNPPz3ee4xPzfGhrXn0ecxBW4VBeVWfiSNrOUdALN3QJ2szbctnez4TGFnHBnOw8Xx2Hb9E7Kx7hTvsSYJha1nAKqPhWG3ktO/R93jIqW8Zg1dfWxbgAKEqfx42qRF2atTn8U+Hm6pbRzZP7iI+WpD0ePf488q99jVs6uo2pz71XxWbXPw1jLqTvmfb5F2TIad+jm4t2VmGAcHs2bPljjvukLlz58rEiRPloosuisk5HnbdUZ4jex2774p+WRf7nPrd5bM9vxqDuAVwU9Yg0CDQIHCgI8DZ0JIlS+T222+XZ599Nt5/fOWVV8YLAd544424CqLlIhzo+Bzs8jVB8mC3gEb+BoGDHAF8nQOBEUuruE7uuOOOa79ODtB4ySUHOXwHvPidOgKiTXmLKOEd7T2rDG3ULWcbmtbqtu/J77Vv8VenLuX12vB0Y1l7Ttteb/HoW/jmYF+Xf49+HR5y8OuuflO0jyp9ow7vuf26Tt+owx+WVm+55RZBgg4+X/XhD384Zq1SF0yGqWMbdfjLqVvH7j395NDfW9h4vHvxILdftBQv3MbmOzaCU0Ljb7xkGu9o2a3eZb0o15YtLPoQKOeCc/CIn9Q6d85ludZFyjmXaFuJO8DMuuDcwoby418L+5iyHO44TT2a/MULzvEOdF3Gz0pDz+EN71B2LTlDu8Sbtkf7SMmfoxsPG8sh8JhFClceE0B9rW8Uv/Gp6UajD3m9C86Z3ZtqG+2iHDwgQUHrGxp9r1/yaJa2t9QVF5xrfgnydoY+bB0/uCUHF5E///zzEY/zzz9fTj311JjBWrwwnlmZ1gXnHn1e4q0lDlX1mdAX7UrzeZbPpK14F5xbfsk6OoR+AfpWv83BBvqxjt1ZZ1S9C87BmxczWoqKY5aWpkyu3eNfrUPwPJd25sc67+XRB004DO0sHepbQYq0NcAZHKyLiGFYWjmdsFaO9nmhbtmZQTYLm2JwtOhbl3hr8pMv/GvxbsnOwKXVR13KrgVJGGxV2/PoQzcWNuTNGxVbtkf7S/UNYq8NYCz6TFG3sLV0B+y9vmHR9/ol2rd0hzIru5VHY7TMbI++5RfIG+RDhicuBHjqqafijTlYWsX3HZG5On369NglwSsDKXEjtlbWuOaX0IbnF+r4zKJPTg2QPGw4yAD2qX7p+SXLZ6IMmMXkFyVm5GJj+eyqfgn85fSLlqLiUQlMa8aABvmTnKqEP6IuFZd6p2iA5XKPPtqlEWsjevCn8U/eLEdotc92rfY9+axyqwzy5tAHRlXkRx0ataZb61Cyxxv5B38p/Kk3y/Zo1JpdFTEqv0Pde9hosjPLsGrfqEPfw8bjDTJRt1Xk9/olBwVW21a/5AxW8xsefc92cbQHbeAigNtuu03mzZsXj3LgzONRRx0VB95MzCnL4PFGm7P6Tq7utUDg+QyLtuczvX7Jck23xYGF5ZMt2ar6LNKr45foU8x+URQsJ41ccyI57Xjt1y3P5U0Lkh79nParvtNVtL12UG4NEqwgUVW2sm2k6Ht8dxVtqx0Lm67gz2tDo59Tr6vwqaIbjz+PN9bX2qnb/sKFC+NVcphBcmn1jDPOkEGDBkXWsORnnV3GO3V58Op3l+weXepmb9qex2N390vPPpvsVg+hprxBoEFgv0QAq2K4Tu4Xv/iFrF69Wo488sh45nHSpEn7pTwN03sHgSZI7h3cG6oNAg0C3YgAslZxGTn+RTLODTfcEPcftT3hbmSlaXo/R6ClmCnIvQ3+W5SNG7TFd1KyszyVgWiVoS3U0dr36HvlXDLRMkO9+ixnO+Ulgpz6xbrl+h42dekXaafueCwveRX5y5GtWN9aOkJZZ22jLn2vftE2UsuNXv265R599osUbh5ttJ3zDvWiLbdqevPazi3P6RuaX+K1eWhj5cqV8bwjPoKMBx9BRtbq6NGj4++dsb1Un6vS7y2/avVLrywX2xyfrflFyy/Vpe/V39s+m/RbkP7KB0DxLsCyMWDjlWnw1hEQtqdlSrH9VIBF0gxvfU8ZI+kWjZftgB7ra/xZvKFNpjMzI6s8SChipfHHlPFUOVP5wWsqSFrYgD+PPsqZCZkKVDxGUHaEGF2zLmmUg2TxCx4p2SzeiCPkYyZjWf9ok0cFymVeKnlXYGPxhvZp+ynd0fbwXsr2+HfIWL5IOwebot2UsfF4w/vMDgVv1lEBTTf0C6k+XaSf6pfUDXFL2Q77DHhL9T3PL4HGhg0b5JFHHpF77703Lq3i48e4axVf7IDca9euVY+/8JhAWT606/FW1LkmP49BcLBT1mFVn1mkbdkdBxHa4LUOfctnAk8eHdP4A23NZwKnXJ+d6peeX8iJGeC7pXipM5hFw9pFxrys1rssl5dRpxwhFKVdJM1UcY0+O7tWzgvOvQvEtUwr3javtc/gYrWvHfGgs0LbqfY5YrMu2c6hbx1zAA1eZF7WDf+uyc6s56rYcBSv0edIVpMfmDONPzXAqosN6DMLMtU+nDcwsGwP2FsXiKP/aMt9Fn06OQ0bjzfIg3fAm/VxAU1++gWLPt6xLudHn7MukUY56qeyDD2/hKzVe+65p31p9V3vepeceOKJ7ceJeDzFuvxe81lFn2RlNkNHmvzod5ZfQHlVn8mBtfdRCEs3ll/w/JLnM9En0Der+kyLN9h1Xb/kxYz4FZCUQ2j+dmAioJ2FOjClbaQ60BHAdXJYVsXeI5wpzjviUoDBgwcf6KI38u1BBJoguQfB7m5S5eWU4plP7NWsWrUqjuZxRkwbVXc3j037DQJ1EcCs7bHHHotLq/iM1ZQpU2JwnDVrVt2mm/oNAm9DoAmSB5BR8LYhXLf1n//5n/LZz35Wpk2bJi+//LL85V/+ZVwOQqbfr/zKr8j48eMPIMkbUQ50BLhMjevksLT65JNPRlu+5pprYtaqtZx4oGPTyNe9CHQIkrwZQiOJcm0/j3Ws2xOwNm2lYHv0UVfLwgJ961YPlFs3AbHcat9LH7euxEP7lvweNuTPMgfMDrH09P3vf1/WrFkTN8TxIEhOmDBBPvGJT8Tv46Ue7Sacol61jf8c3jz8eT1UVdurq5sc+S3sc2zP4tGi72HjyZ7bN8oJXZQ3p19qdT29o9y7MQflWAXBmUd8CBl2fe6558pZZ50lQ4cOjWxa9/Lm9HvrxhXIZt044/klzy/U9ZmWT/Z48/Tj+SWvfeDm+VSvX3jy1fFLWf120aJF7X0fwlhfkYbjxUZxsU7ZccRsoBDMrOxWK7nBoo8yAKLdYYk9CmQhMlutM7zhXXQ+/GhLkWgbj0afm+hah8Ilybj9I9U+5EJ9KynKok9ccGD6kEMOke9+97tRl3hef/31+BFZ0EaQ/NSnPhVvG8ESLOqB3zfffDPePKLpti424AOZatq+qGd7uHMTGYwaf3V1A96gF83Ze/Kjb6QyM2mDnm1Y9D1sPN7AA7DD9xK15Ju69MGj1i/40QAraQm2Bxuk36Bzhg3PmTNHHnzwwfhdx1GjRsXgiC91oAz24PkFj77lsyBXmbeyX/Hoe7qv4zPhU6x+4fEGWerQ92wPgxtgqOm+DjZd4bPhV+ADgWPqge6b5dYkNPvnH2FwcCJwNMVU/6uuukquv/76eFbsr//6r+NSLGaVzdMgsC8iwMEGBne8EGDEiBHxrtXDDz88DiQR+Dgw2hdlaHg6cBBoGTduXAdp4Gi1mRRGAxi1lOsUG7DqczZhzZas+hiRWKMSjAaGDBki6FCpx+ONoyorVR3vaDNFdFpr2QwzN+wFaiNuBDYLGy6favQ5gwYfnEVilITfmfGH9keOHBnpFPXIVGtLt9ZXSjze6uoeZ98wu9D48+h7X1jxsAc+/JJIyrbYvsafZ3sefau+xxv4xTlBJGwNHDgw2Tfq0o+p8son2nhMwFo2w4wDWwJ4MHrHzBGXAmzcuFHOO++8eCGAdp2c5xc8+p5uirylwPPoe37Bo2/pBv4Y7Wt25/Hm+by6/Rb1gb/GX11s0H4dvwT84A+5bF/W79tmkjB0a7mThz6tMQLPraQcOTuzFgg8+mjbCpI8SK/xx30L65ykt9xrBUkGJi0IWs7Mw4bGZtEvBgoERfKBZdYvfOELcUkBSQ5XXnnl2yDisoyFnRUkKLu1d8P6KfxzlhStvQ2PPsqt/RXqXVtuRbklP52RhZ+1t2jR97DxeANPOX1DW27O6Zc5QdIafCLAwtnhGjl8xuq1116LFwEgMQdLq9as0fMLDJIafctn8fKHYqZ4Wcc59FHH+sSd9qUPzy94PtnjjX7F2iJDG5rPpu1p2Ob0Cw8ba0/Zs33PL+T0i2a51Yr4+2EZjAKjol/+5V9uT4hAkgOWqTAqwmjdCmT7ocgNy/s5ArDH5cuXxy914CPImO1iaRXnHuGc4ci8lYD9HIKG/X0YgSZI7sPKqcoaZkPlkR32I+FsvOzkqjSbeg0CVRDAciquk8N3HjHAO+6442LmankroErbTZ0Gga5AoAmSXYHiftIGZpLatXD7iQgNmwcQAq+88koMjvgXZx7f+973xs9ZNU+DwL6EQAv3scAU17eLfyOzmJ1gJoI1cv6bEsRa42XdVPsefZbzkugybV4uzDXw1NkZ8qadq7HkBz3uiWn8k7ZWbsnvYZNLH7S1fTVN/qJuWT91e4+lWw8b8s89nrL+LOxybM+jT949bKwjIJr8nbG9KvQ9u/Lsti5/Xvs55UV7Wrx4sdx5553y3HPPxRWPSy+9NCbbIUCyHxTtw2vfwyfXNlL+rLgnqTnuHPpoR1vFqeozc/pFLv9av/T8Uk7MyPHJHjbd4bNz+0VLcUMcAjPbKBWEsBzCTXwtiYJnklLlzLTUNuEt+uAH9dBGClDe6A4e+V5ZBvwd71mJO5r8pI9/NUdHuppCKb+W1OSltRO3qvQ1+cEPeaf+yjJwg9zK7LWwIX7ahRTcd0plSEJeJiDw35Ru6+jGy7JDuZa8Qdsr8qnxp9mGRd/ChrhaiSV0prSvFA8W/Zx+aS3lowx6xVnSxx9/PF4IgEzvo48+Ws4++2yZPHmyvPTSSzFzXrvg3OuXFn3avRbkLJ/F4IF3LJ/n0dfqUn/UUZlHy2eiDvmyfJ7mM0nL8ouez6a/TfVb9gsrZli4EhvPZzPxKqVfy2fygxlezGgpXudERWtXPGET3cr+BJMAFe9pgYhHDVICefR5e4OWaQVFocz7Cog1WwAN6ysk4Nu699S6XYNfOrC+FuB9ScGjjww6LZAR+5T83ldA6CjrYAP9al+aAG/gy7I9yKVhT3uzdGNhQ940Rwq9wva9r4BYX5pAmaYbi76HjccbZKJdWxd5aBcNeP0S9GEfWtuQG0EQ18khaxXJY9dee228a5V9GjKCvpb5zL6T0o/nF2BXqG9lnWs+i7JrvBFbvGcd37L8Qh2fyS+naLQ9bOiz0Y7mFy2fzcGZ1i/4FZCqPtPyWeC9rl8CPlbMQPsd9iTBkDbSJZiaE+HfrTZy2vfoW+Uej6RvGYNH35Lfk8/ir07dHOxJmw43NWKtI5unlxz6dbGvy7+GTZF3z/61ck+/lm3m1vV48/C1bCOnboo+bvlBcHzmmWdiQLzoooti1mrxSx1sW6NRV/469T3ecmyjLn0P+zp23xX9Mqfvd0e/yMW+br9oEnc8BJvyBoEGgU4jgGUuXEJ+++23y9KlS+XYY4+Viy++uP3CgE432FRoENhLCDRBci8B35BtEDiQECiuziBbFXcFz507N97yg6zVY445pvlSx4Gk8INIlg5BEoauLUUCE6/ce8ervz+UW7bh8U98Um3Uqcv2vDasckvvnl4tuYqyevQ92/Ow98q99vfV8jp6LeOvYVRHN7wtZsWKFfHMI66Uw4OkHJx5bG1tbf8ijWb7dfpGXXw82T377m76nl3WsXuvb3enbB7trir34rmHbwvuBeSDTUrcI5jaPEdDKGMmkJatxYu1tQxOlGvJCxZ98Aj62vo3eAZveEd7j7J62a1aOe9G1XhA+5DBOiKCd1JKQZsWNpQf/3r0tTs0NfmhD5RBp+SvTIPZrZpBediAb7atJWeg3LI9btKnbM+jT91Y2IC2Jh+zW1PltD3IqGXrEd8q9KkXzS4t3uho2AaSFFL2Q+xT8mn9Eu8iIQMXAiBr9f77749ZqzNmzJALL7wwfo0G7/ALKVriDI8R4Byvlt2q+SULc/o1ylbFZ3m85dK3rjSs6jOBLe1K83mWzyzig/9P2ZfnlxgPtBMHsE0rZoB/DxuNN/y9jl9i9q0XM1rKwuH31Cd/oBA6EevWFtbXALfSeaEQiz4ztVL8FXnD/6ccAWlrjhh1mK1Vrk/5oRgLH4t/tpGqT9k1bHPpc1SvyY/ysiMs6pZOqlgf5fgdTsaSXcOGnZHYpBwxedB0Y9leV2GjBUm0D9mBgWV7RT6Ko9ei3lP16QSsIK31G483BskiDatvaIOEIn28w76Ib5UiMQd3rmJp9d3vfnfcf0Q2KBwYMbP6BXnMsd1Uv+SgtEq/JC6po0nEgvJq7efQz5Gtsz6zaG8pn1fUk2Z3RbuoQt/ymbTnrugXls+u6pdyY0ZLcXTHQ5/aaJcXzVLhRUfA/+eoQHP21qiBitTo01Fr5aBppVrz+IrmCBgMrO/eQU6tHFha9NE+37GwS5XhbxwJW/StYw7EPiU/U7W1tlmnKjbgHzRIpywjO5s22/Bsry42oGulqdORW7bHfpGaDVF2bRXFok+717DxeKMjtGzPok+/UKSP2SHOO+JTVggSZ5xxRsxcxXdK+RArfkPUwo59I+U3PL/k+QWPvuWz6Ei176BC1hz6nl+y2rd8piebxxtnY9a3VC36ns+kT9dihuczc3y25ZM9v+DFjMhf0VnlpCprDpx/t9rIad9Ld/bSjXPqa0Eyhz9Lfq8+O1SqjTp1c7AnbdBJyZ+Dq4dtrm1o9Ou03xX8a9gUsfNk1Mo9/bK8Kjae/JbtdcY2EBCxtHrXXXcJ9iBnzpwZP4I8depU8xxijm61d3Kxq4u91i9zsesu+jnYVaWdo3uPfo7tVeXP6hc5/TKHN0++Jru1qtdr6jUIHCQIcCly/vz5cu+998Yzj7hrFRcCnHLKKXH1pJjbcJDA0oh5kCDQBMmDRNGNmA0CVRFYv359PNLx2GOPxaVVzBzPOeec9g/ValeiVaXX1GsQ2JcQaClONfn/qelneRnIWxpJlVvtF5c0qrSdwx+n7lb71tKKx3/u9L8KNnXxKfJWps99BU92a9krBxsLH0s3ubqtw3/Okpr2Tg5/ubaRcg517Zb6Letd+53yICA+8cQTMWv1zTfflOnTp8cjHbhOjk+ZN822c22nSt/Q8KEcHn6eXXq6q9O+1S9z+nzRXqpgX5d+3ZjhYdcV5XX7bQvSrvkwxT61L4INTh4BYdpxqkPnpDNrST0WfdDKPQKi8ZdzBAQbxdqeZc4xAyxNaUdA8HfvCIiVOZxDP941GJa/NN3g72UaxSMgsIdi0GQ7dVKt2YaFv3XMAfwyVVzTbVdgA7k13VsXMYM/fgHdsj1PNxr9nCMg1gXabfoOV07u2Bb+3QkLaPs3/L5lW8jaDb9R77Ad8PH666/H844IkviIN5JykJyDDyLj3aJDBjZ9e/eKbbb1/zaN92kJWbAtbbrr0aNnhwvCAwnp1zfUCWxs3rw19hnvCAj4im326imbtux4K1Dv3CH9e0N3+Nsu2bolfIghtNuvT5AlvJuiX+wf1Jl2/MTiDe14l3TzCIrmF6r6TODBo01Wv/D25ax+ibra0SzIbvkFxgz6vZSNsl9b2KR8Vlf4JfZb+A6r37YULzUGo6ioXXSMDCiAYl3kC1BRnjI4jgq09j36TDu3LpkGj94F51bmLQDT+GM97yJjLQsR/IP3VPseNkVDsehbGYygoX1Pkn/XZOdZpzrY8BJvLYMRnV5rHzLzAvvUACBHNxY21uXroMdLxDX+UI72LduDbVrZwdrl7+DNwsbjDfxPP3SqLFm3S7728wWyZuN2aenZQy49boScOHVwO5ygj6VV7DsicxU6x7LqqaeeKiNHjmxPzCn3P9R7dfFGeX3Oajl75jDpHQIZnsVrtsjT89aFv7VK35ZeIWB2HLz95IllMnZoXznhkNboL9COFqh67fZLb67cLC8tXC/nHTFMegUZ8GzetkO+/uASmb1oo0wZ1V8+cNbY0FYveXnhBlm0eoucM3OQ7NzVQ8Xe8lk8EqbxBvqeX6L9eBesV/GZ8Feo511wbn04wfILnl/i2fQ6MYN9J9WvLd4YpDFIqeqXQNuKGW+74DzFZPO3BoEGgf0fgVte2CTff2SxXHn8SDkhBMY1G7fJ//3p63L81EHyq5dOlh3bt8lTT70cj3TgrtVDpkyOM8dZhx8Rhd+2FStOvZNArFi3Tf7jnkVy2mFDgsNuC1wvLNggn/3aSzK8tbdcEL4TiRll8fnBo0vll770ovzJu6fJSYcONm/6igP3Af3lsTnr5De/8bJMHzsgtDk8Nrdhy075ix/Oi0H/oqNHyC1Pr5C//dnr8lvXHCID+/UKv6+U1n4tkUbzNAhUQaBJ3KmCWlOnQWA/QuDVJRvl6/e8Kb9y8UQ5f3dwAftjhvaTR15bF1Y8e8gDD9wv/3PLrTJp0iR5/wc+KJMOmS49Q8BDEGq7SKGXbA9v9uuNW4k6Cv+Dx5aGZdsdcsVxI2PBD8PvXwtBMyyAyrABIbDuXn5lrWdfXy//FWZ+h44eIAOw5Fp+oYRtOLQk37xvsfw4tNsSlk+HDgxuqwca7SHPvr5WZocZ4xc+MjPOSmeNHyh//N3Xglxr5PQZQ+XMmUPke48slcPD3xE0m6dBoLMINEGys4g17zcI7GcIPPzKWhk3rK+cftjQDpyfOKW/nDi5j8x7/TV58uln5eSTT5bLL7tUpP9w+csfz5WlYbm0ZffMEHuXR09ulY+cO14GxsDW9qzesF0en7uuPUDib8dMHiR//5Ehcs+Lq+XuF1eGpc63ouTK9dvk7295Xa48YaQ8PX+9bN9RiqAJbBGUT58xRC45erjc/NgyeXXRhrjvib8vXr01BPu+4adPrDlkQJtLezHMZBEkT542RH7y5HJ5Miz7njWro/z7mRobdvcSAp2+4Nzj00p+sMrQbt1ytqHxWLd9LamD9Lz2Lf7q1M2l7+nG0q3Hn4eNp9+67Xv0c9q32vDq1+kXXYGNxfvydVsjez137+FhnwdnHefNnSOzZhwqb7y5WC44//wYJPn87+umeiLF8tmLN8jCsE84a8LA9venju4f/3/j1h0hQLZbZwyI//XQEjkjBOsPnDVOnpw7O+xVYlradu2hJgPemDYGQbCXbAwJO8WwuiMQKE5s8Tvo7NxNePTgPjI4zCAxm9aCZE6/qGMbnu149D3adfptd9ueZ0R1sPF49+JB0W9aMaMFm558sKyC37HBnDomgE1avMM7GVMNo752zyTaRHmRZrENZrdq9JlFpt2hSN40/izeoCwmp1j025zN2++GRf3iebEUfpQfm8Wp9HsLG7bv0Ue5lm6P9lN3t0Ie8s4szSJ/RWxSvHu8UcegwezJsu0UsSmXsX3N9jz6xXILGyRBpBwS6wMbTX7wBvtN2R7r498q9NkvU0k/Hm+wZSxDvrpkUwxGK5Ytle9+/+ZgJDvlgosulg09hskRJ04TBJOon5AEsmHrrrD/tzYGJC6tIlt0zJA+cuyUVmnpEWQNQah3SMZZvxkZpT3C7BLZq7jcH9mzYfcylMUHM77dwflHjy+T/7x/cdgDnSQ/e2q5vBJ4QjtnhxnemNGjInYp/KNfCLoZNPitfcVonyE6hsunY9Bsm1mGu3XD1icSh9r2RtsCL5J+loV9U/zepp+OFqb5BdQFbdqm5nc8v2T5BXBS1Wfm9gvtbtNiv6zis3N8Jj/4YPUL6xhJrs+u4pfAf07MaCmm5fLG+1Q6LhtkJ9dSzuksUgEUdXkPY6qcZdYRCrSRKmfgYhuptGeLNvix5Ec5Zdb48/in/Kn6Hja59NG2NvKkbsrZpUXdsn4Zv7rYkH9mMJf1T+xSdlUMLsQpVZ861GzLw4ZZpKn6lvy0PatvEHtLNxp9C5scuz1r1jC5OSTK3PbMCjl94lY5fNokOfHEE+TRJQPlL34wRz7//ukyfuiukCW6M+75bd2+U+Yu3SSrNoRB1e4Aty3MzraFAHjUpIHhbxgQhHdDIBwa9hwRSNdt2iFjBvWMfSjO7Bgk22JVfKaM6ifXnzZGlqzZKpuX7wx1tsvStVtldci2HT9uaAxumAGCVvFp2xONobD9z22/95AJw/vKwlVbZP7yzTI1ZLYiGIbXw9Jw2x2ycWYZfsYN6dv2++4gXm6/is9hG16/1/pdsb5G3/IL7LfsWymfxyCvtc+6mj/3/FJX9QvtxEF3+uzcmNFSTB1mJ9XSiXkExLpoGW2gviW01r5HH22y/ZQjYzqvdlE16iIVWnNUvERb44/1tPZhUNZFxuAfbVvyW8c7cuhbF5xb8lNnGn3IFc/DBf5Tj8cbnbmGPzu4ZXsYyWu259FH+xY26OxWmjxoW8efmMau8QfsYTfaBecWfQ8b0ER9jfb4Ib3kk5dMlq/c8YYsPGKETBxzpvz4pa3y0yfmywfPHi1HTxwomzZvak+jH97aS246b3xJzW1Bqe3BcY62/5sxrr9MHtlPnn1jvRw2brT06/VWBiyCLmaaDHA4blI8cvLywo1y2ozBYXY6SLZt3yEvL9kiwwb2jrPachDbGqe0PWTT1p0hmSgcVQvnLvE79klPCBm6f/mj+XLhUcPlnpdWyxFh6Zd0cARkbQjG4BPvp+zL8lkoQ7/Vjk6BT88veX6hjs9kv9V8kscbg6TlFz2fS7+W8guwSfRN6/iL5TNzfHYdv4T+COw0/OLqUVEwbSmI73jleM96x6u/p8q1IJlDPxkhdv/Rq098Um3UqZurH+0skcVXbtupUWxZTsqYwt+T32s/p9x6x+LNs+uuLK+CTY9d22Xbpg3BEQ2By26HfcmSJfE6uV1hafWKkJDz+fcfFjNPX16wNixTivzRdYfKjHCcgo4SGGjLnThsPWBA27vFZ1A4XnHKtMFy/0ur5B0njWqfeeKdC44cJkeGABwWmePgtmfPtxJ+sG/4gbPHyqhBbUEVjvaRV9fI4HC+8dqTRnegEWczu9dIrzx+RAy85LNvyLb93XdMlR+HpVycizx71hB5x8mj25eJH35ldVhuxjLxW18n0exS65de/8ix3Rzbq+IX6tp90Xar2F53yu7xltvvUrgW/+bppslu9RDcj8qhbM5UcI3Y4LCHw08X4bt/uD0FX4ufOHHifiRVw6qGwJYw+/vpj74vP7/nKXl96XqZOHqQXHL6kXLOeRfKoiVL5Re/+IUsW7ZMjjvuOHlp9ityclhi/aULu17315w4SuYv2yw4+4gAxSXaw8OMDj+4SWf79l1htP5WkETW7LmHD2sXbeu27TKwT8+4f2o9yWAXBgHgQfBTeLAP++hra+VDISMXR1eap0GgCgJNkKyC2j5aB0sGmzZtkm9/+9vygx/8QP7mb/4mBkl82ug73/lOXDJCsLzppptkypQp+6gUDVs5CKxauVz+95/8mfzzrW/IrknnSZ/Bo2TbnJXhPOStcvq/f0NOOu5ImXrodLnqqqvkiCOOkFdeeUXWb9wsQ3bvzeXQyH1nUP8Wuen8CfLGClxXl1vrrfcwuFu2fIUcPrFVDgn7ip19toUAy2W5Yl3k7lx/+piw/Dpg90y2CZSdxbZ5P2yvdzCqsD6r7ZngPS0DKreNmGkWaGiP9TFn1EllZhbbQvvW3af85E8d+pbRePxb8nvYUH6LPtb2H3jgAVm5cmV0jFxGQJA85phj5P3vf7/87d/+bZxhfOITn+jQlIctr96ysPM6lIU/9ObZnrZMnoONp5sc+a1lGa9v1KGfwua//+vb8g8/f12Gnv8bIeElZEuHe1h7jJ4qO6acJPfc/QWZuXZN1DH34LgvZulPw9fjHW2OC0ua+Ek9Xr8D3bWrlslRR41V63t+I8U7jqJMlf7t2aNV+j3togp90vPws8o9v5Bjt1a/Yd/R/GYOfa/fej7Zw9arryUd5fiFnJjR8uqrr7bbDrOwtE3WjRs3RoPjMYGU0fGYQUowdFTrK9cefWZqafdfrl69WjZs2CD4V+NNO4KA93PoW8BDNstZ4l7MOXPmJO+Q9LABXWaopYwK9TGTxHLqCSecIP/yL/+y+6aUXbJu3ToZP74tEQOXVS9cuDBeFo8lWR5rwP8Du6I9FDFklpmGvcUb2/GOgFi2gSU7/Gj8efQ93Vi80TaAgSb/2rVro+6BYWf7Bd7PxSbSWLdKfn73EzLgsPMDP+G41rY2mrt2hmzU3v1lYPj7gtX3yUvPPyODh42MdgP+8D1ILUHBop/TL6wgzKMdmjNE++vXb5DZs2cnB7ndTd/yWaANnWq8sV968lt+oY7PRD+GX7H6hTdAyrW9lF17ugFvoK99b7S7+6XnF9asWRN5wwfE1Zgxbty49jI0aF3wvXz58uioinXKDWO5T8viA1iob11wbtHneSQtAxLlra2tMnx4272OKd6szFvvEm9+aUJzNJDNytRCZxs1alQyi9LDBrJY9FGf50/xHgcUGCkBbw5smKEJPseMGdO+DMUMMU23vO1fywD1sAH/sA0Nf3Q2GKtmGxj44Efjz6Pv6Qa8WRl+nvzgH4PL0aM7Jp3QBtG+dcG6Rb+IDfS5ddhgGRF+dq4K5zp3nxNst/UeIQt321bpN6CnjBk7TgYPHR6dFNofMWJE7B9a39Dk9/wCsME7Wr/kVyS0wTfqYgA+duxY9YLzOn7Bo2/5LI83DnCsDNAc26vqMxGEwKPWLzyf6fVLzy95PhP3AOMdjb8cbDyfjfar+iXYBiYO+Ek9sMsWfPqGDyO+RhAKgTEU65QbxmgRQllLN5oj9OjzMgMtSOHv4F3jD7xZaf6QDZ1Re4d0tc7OAKmNmFEOJ2Xd2G9loHr0+bkjyNGWLLE9qgeO+/nnn4/fA8Rs4sILL4wj9mK2IvgCfxp2aNNKtfZ4Ax/xouoQsLUHuGrYw5hhsBp/Hn0e0dCWbjze4IisIyDQKfi3bA88VqUP/ovYYWlz08u3SM/RR8jAoWPCLDIcxO/ZIhvWLA97k3fIlf/vBTJ2/FtJOuRN48+S3+uXwAY/Wr8EbbSvzcI508H+uZZhCf1rtuH5BY++5bM83mDLHn3PL9T1mZbdebyBf88volzrt57P5BehNLvLwcbz2XX8EmwWsmn8wR477ElySU1zYl66L+qxDW1J0Fo/9uh75R5/rF/14KrFuyc7ymMqO046Jx6rjK979Ck/DPPoo49uHx1dffXVcUkG+5HXXHNN/HBu+UHb1p6bh73HWxGfFP5e+zm6VaNvwS4t3YOGd9i/at/IsT2NPpfSEYiwv3zXXXfJrp695YPnjJU7Zn9VFvaaLn1bh8uWDatk6IYX5TPvmiUf+OBNHVj17Iv6T8nv6San3NMN+Uv5jZz2Pb/i0Ud9jbbFW9GuNRqWT/T8Rq7ePNo58mtbZB62VnlOv9Ww93xGLvaW7Dn8NdmtFoL7YRkcKUbk73rXu9q5R9D8yEc+En+aZ/9DAIELe2KPPfZYXBHAdsI1175DTjj+OHnh2afkzrvuluVr1snIoUPk9FM/I6eccc7+J2TDcYPAPopAEyT3UcV0B1vevlt30GzarIcAEm6QsXzPPffEhvCNx/PDZeQ8/3rMCacIfnaG70H2DEk8zdMg0CDQtQh0uLuVywLWkmDO9B/1tb0Fa+nEo++Vc+qs8Z+7bGPV5xQ/pYYc/jQeiKu3tFGHPveOyssq0BWX2zzsqmLjLY142OXwVwcb0veWW6v2jRz58A50Ax64tIrgiOSHQw89NAbHww47LJYXl4mYONMv3BWnLZl79mXJn8t7Vdso6tZa7u0u2/RkJ3ZVbSMXv6o+0/LJHm2vX+baTXf3Cy3sefKRrzr8tRRTc9EQNkGRvFLubOi8KEPnZcZUinF+SUFb30ZdLR2Ybafox6y+wBcdSYo/1tf4s3hD+8zUsuhDZjqpovz4G+mm1rlZB21j76PMP363sKH8Fn3yTadT1g/K6YSLZdg8Z11miRb5K2KT4t3jjbSY6q45A2JT5tuzPY8+y9nhU4GE2Kd4o25hXyn5wR/KijaQsg06JI0+L4ueN2+ePPjgg/FzVsi6u/zyy+M5Vyyzou+UdcN+mbJL0AR/Vt/GO5b8rJvqt0VsQKcsG7GnP0iVMxNb6xsW755f8OhTdryXGjx6vOXQt/wC6Ff1mUV7S/k8jzfaaB36ls8EnswK9/jT9gZzfXYVv8R+C960mBGPxxSzlmCMANbK7rQy/Ai6lbILMKxMKWRlavR5oN26hBvZStYl4VaaPzoEgNPosxNZF5xbaf7MINTat7Chs8O/Gn2UWZd4o1yTHzqxZAc2CKZVsWGAAB0tSOLvmm1Ap6Cv6dbTjYcNbD91Nyltmhe8a/Ize9a7vF7LfIZOYftYWr333ntj0MWZVyyv4tgQApTWNz3eIAMzKDX+LfnpFzTdgL51BIQByLr8nX1DS+qy/JLnFzz66HfaBeYclLN/pCYGHn20b/kFtFnVZ3JgYWXMQwbLJ1p+AWWWX/J8Ji84t+hbx+Y83ur6JX4UQ+Mvtl9UurZUkzIM7W9WtpDXfk65947FK3nTlk28tr1yGpTHQ6q8q9q22rHk9+hbes2RmzKjHS1IejxUwbVI12tf460z8lXhER3xkUceiYk5CxYskKlTp8o555wTb03i4IKHoqvaTk4ftnTjyZVjd5bPsDDO0Vsd+jm0u6t90tba92T39Or12yJ9rV96uvd48OrnYGv5bK9+Hf5Qt0ncqYtgU79BoAYCixcvljvvvFMeffTReNgfd62efPLJ5nneGuSaqg0CDQKdRKAJkp0ErHm9QaArEMDtS/fff788/PDDcZn1lFNOiedXrdusuoJu00aDQINA5xBogmTn8GrebhCojAD2P7A/hLOO2HfEPb6HHHJIe9aq9THzykSbig0CDQK1EGiCZC34msoNAnkIIDGES6tPPfVUPOeI24+wtIqkEJxhtS7fz6PSvNUg0CDQ1Qi0oHPy4RGK1CYpss6QSYXsVmTaaedOsHSEMu1aOl42nBLEoo/3eUwhtVHLdGO8o/EH3lBXu5qM6craJjGPR2iygy7bSMmHeuAh9YAvCxvKj38t7PlVjxQNTX7oinqDPaSOElhy5fCGd3iEQMtgZAZnmXe8T2w13Xq64V222v2hpK3p3jr2RNujjNQP2kLWKi5mf+ihh+JHr3E94FFHHSVnnnlmTNBBu8AcP1riDNrTsAFNizeUM9UdbdAGyhhb8nv9snjEIWV3tGst+YhHX4BBym90N33alEYb+Gu8FfHXEkjQPjDiXcpljKr6TNgX2gY+Vr/wkncsv+j5JctnMmZY/IE2cLewyfHZWmC0/EJOzACuLcWUcJ710tLEsRwEZVtHEJhubN3dqrXv0ed5L+uICHjU+ANvWqo3QIairAvO6UC1dGEok0cBUkoD/6ib4h91yZ+m8Bz6Vqq5JT9T0K1LpKF7rdzjDTJBv1aqPd6xjh/BpjTdevSBr4UNedOCJDuyZXtMJ4ccHGjgI9e33357/JQRPnSN6wKZtUqewJdFn0HXom19CYGB0joeZdH3+iWwYX3NdmH7mu6Kxwi0QGUdAfH8QlH+FH+Wz/J4Y9tW3/X8Qh2fyQGIhm0ONpZf8PyS5zN5BMQ6Nmf5zByfXccvwd6smBEnHUWngP/nT8qYvHI6h5w2qrTv0d8T5ZSxCv9FfKz6XpDUHHkd+dlmnbYtbDzbqMN7kW4d/nPsNrf9ZcuWxeCICwFw/vLSSy+NZx4HDx7crt7cvlcXGw97r7wu/Zz6Vt/Iqd+Vuiv2v2K/yNV9uf92Ff9VfI5H29N9rs/a29hY9Ov4bLTb7ElqEan5e4NAJxBAZ+KFAPhSBzJX8f1VfI3lggsuiFmr2jJ/J8g0rzYINAjsYQSaILmHAW/IHZgIYMnmpZdeav+ZNGmSfPjDH5aZM2fGJXjvo8sHJiqNVA0C+z8CHYKkNmXtjJjesofVlkffajuHR69+Dn2PTtU2vHrWkgF5ypHPW5bQ5Mtp28MmZ9kjpw1t2cmzLQ9jq9wqwwXkWFp99tlnY9bqJZdcIqeddpoMGTKknSXrNp+i/jTZqvLWGTy70zZy+N9b9D279Pqe1zfq1Pds1tNvLm91sPd4qNMvPf5zyuvwh7otxawibJJio5qX+hYbBzMo5ztaJhfaw2aodsE52tYymUhbo8+vbGNkXqafwx8v403xhvr8moJFH5hol+kywQFtpfjD30ijXI7fLWzIn0UfbdPYU/rRMtGY5UUeQKNYn7Q13j3eaEeUL9UhiU3KNvA+dVJVNx42VgZl2TbwOzBDZh72HO+44454nRwuIb/iiitk4sSJUWTySv4pW0o3Fn30OS272LNbOmjqNoUfeUUCREo37POabmgXWr9EOfDSLkAnT/QdZXw8v+T5BYs+Zec7ZZ/n8Ub8waMmv+UXQK+qz8ztFxpvlNXyi5Zf8mzP88lFv5HymcQGdmn57Kp+iTStmAbddQiSdGJgqvxQIWxQO4ZAY9OyW7XOXjTWFH2U4+9QWqqcWVyUQQsSWgCnQmgwqdEHnYR1hMQatTAQpPi3gkTRmPH/Hn1rAJMyOGZuEtuUwVJvmm48bDyD9wIB9GrZnkffClBF3Wsj6uIxC/Dx4osvxuvk5s+fL1haveyyy+L+IwJk+UsdbF9zBB59Cxv2CwbZlP3RWVGHnRlAFfulNrglNpZtwGY1bBmItKMsll8idsCoKn3LZ3m85dLX+iTrA5/O+sxigIYMKRqWzyz6FWtiY/lsyy/w6JHXbz1sustn58aMDkdAIAwqWmn43hEQCOzdaG99icCi7922793oDt68r4CARp0vXVg32lM26ysgWlkxOFb9CoglP49mWMdzrFRrBm7veJD3FRCNPmzKOgKSQ9/6QgpsX/vKBbCnXGvWrIlf6sCF5MATF5EjMQfnHzlwTB0RwrtoQ/sKiEWfS7XWF0jgrCzboV1bXymxvs5j9cs98RWQOn6BM3/tRiPLZ9En1vkKCOzH8gt1fCZ0zi+8pAZIns9EHc8vsjzVPgYRls+EzcM2Lb/gYeP57Dp+iT6lU18BsaK6VUYA8Y72nlVGZXn0PR5y6msj2hz+vJliVf482sSnDn3S0JY767Zt1S/qV6Pv6c7jzyv32mcwSrUDZ4kLAXCd3KpVq+JZx/POOy9eK4cHRz6sa+U8/Xq6yeE9B3/tne6knyO7Zd859evg4/ksr+91J385bdex+67ol92Fvcdbbsyo2y+a7FYPwab8oEfgtddek7vvvltwMcDo0aPjhQAnnniiGRQPetAaABoEDhAEmiB5gCiyEaPrEeB1clhexZIOMlYvvPDCDhcCdD3VpsUGgQaBfQmBtx0B0ZYiwbRVRqHwjvaeVcb2PfoeD3Xq5/BnKc+rb2FYp24O9h6+Obh62HqGXdc2POy9co9/lmMPBRcCYPa4cuVKmTVrVrwtB3etWkuque2n+KyLjac/r/92J33Ptsn73vIbnux1sPP6nVeei51m+179rqDfXXbv8ZZbnuOXLPxaihduY98Fd5emUrV5WS0cCN7RslvrXJbLDD0tVbxIt7wOXrysVuPP4o2ZYsz+LLePcl7QndonYDnwgSNN1Qdm4AHvlsvxu3XBeQ59tB1TlhNHZGAE1HXZqIsXnBdlLAZfZv2mePd4YzvWJdqQn9iUDRa65UXOKd169FFuYYNy4LZp02Z584358uzTT4Ts1Rdk4MCBct21V8jJp5wm23f2kI3hAm7oULM9tGPxh7p9gm307tMi27eFOyF79QipyuFHwr2yPbaHf0NW+c5wEfy2HYHGWyigXvGC816hTu/ePTFqjS/13LWtvd/22d329h2hod0PswzRBhIoUntIlm7oF1LOEH9DnwF+eFJ2D+yZSZgqZ+YyL7suv2P5pTLmnaUPnpmNXM4ap12w32pHvyy/5PkF9kvwrR2b0/wC2wZ+mt1ZvNE+qvpsz2cyZlj8gTbvbk3ZZa7PruKX2C+AkRYz4gXnxa8iMFMplYEHJnjWyUrJRXso19KZ8XftSwygAYPUMgBJtyp/zKLSjlBASRZ98m3xR/m12YJWDtoWNmjPo29hz/op3QEPfqYJ5VoQJ48p2TzeUId2kcKfZ7lStgF+yJdmex59DRvaNK6QW7Z0ifTo0yq9xhwjk4ceE7Nd1w4aJk8v2CJHT+gbMapqe6jXe3f9+cs2y4A+PWXOko2yagPOtsboIgP7bZMhA1pk+tgB4d22AIiHKfSUccv2nfLUa+tlxXociQqXwod3j53SGvpnL3lt8SaZOKJvqN8zhN62h32X9pVyRixLBUL6Ba3fgj/qSLMN7YgD32f9FL6WX6Jde/3Wok+71Pq1xVsOfa/9qj6TfFG2VL+yfCaxt/yi55csn0n+2EaKvxyfhXcsn13VL4G/Yt/Q8OsQJDna0zpDLuCYSWlCYdSpte/Rp0Ks+lqApjHzVnotiIGG5QyKwarcBo3NGgRY6c4WNnSWHn3rmEN01EE3KUfIIGnxbtHmyoJW38MfuHMWnNKNZ3se/dbW1lSzcebz6KOPxrtWr7r0AlnaZ6J84b5X5IzDhsqw7S3yyoo18uKbG+SCI4fJB88J96/unr2VGysOIFOEECD79O0jd7+4Ru57aZV84Oxx8trSrTJ/RRhJh5nhzhDRvnb3Qjkv0PmbDx4WbDDMFHc/ZWwefHWV/J/vz5VzDh8W+Rk2sLccOSU4kqDfW55ZKYNDoP3AWeM6sAGdWwM4lGlLyV6/BCFLdyjjQCyFDcrAn+Y3PPqeX/DoU/aUz/J4gzwefc8vWPTRvuUXioPbFLYeb16/9OhzQG35ZGuAkotNymeBN/69qs8mb9oAKfJXBDa1jJj0LMYfrTa89uuWe7yyfQ3wHPoWDa8+O5RmzKkRflk/dejjaxTak0PbeserT9nxXgr/HOw82bXyVcuXyJxXXwlOuEWmTpshg4aOiK8uXLhQ7rnnnhgkR40aJWPGjpcFi7fL+CG95Heumhhmdr3iew+/ukY+/+N5cuUJI2XkoD5JMoccMj78/a3AVn6pb78+Mn/ZJvnPBxbJJy6YIFNG9pMpZ41tf+2uF1bJE3PXym9eNUX6YSm18JSxeX35Frn0mBHyv8K75efdp46Rz/1onhw1sVWOO2TQ29qx9F9VN57ucsrr9I2c9j3b1cr596r1i3bvYV/FL3j9zsOmbr/Mad/rtznYdpfPtngjNk12q4fSAVCOy7W/8Y1vxG8aYkb1vve9T6ZNm3YASGaLsH3bVvnKV74i3/75w/Ls4rDcG2ZsM4dvlXdfeKzMPPwoefiRR+N+1FlnnRWPdAwaNlJ2LVolW8Ny5uvLN8uEsGyJZ86STXLmzGHS2q9jd9m0dYf814MhAC/dJH1aEFB3xbpjhvSRG04fGwJq73YGe/ToFYLtOhnYt1dYGu0YvBav2Sr/+Is35KPnjZepo/ubQm3bsSsG7ddXbJL1m8MMLazKXn3iqPaAODrQnjqqn/zgsaWRjjLxPeB13wjYINBVCDTZrQUkuUatgauNZvi+Vx/vWcsGOe1bitfoz549W+bMmSPvfOc74wXcmDWVnxza1jtefcpeVX6v/XL5jpBA9X/+7M/lL344V3pOv0r6HTlawu6fPLRigdzzD9+UM8f+QD7w/vfJOeeeFy8G4JVryKVZsHKLfC7MHLE/iD2/J+auk8uPHxEC4Vv7hJAH+36nzRgiR4RZW8y/Cc/OUGFAn17SGoJh8dmybafc+/IqOS4ELgTr4vPNexfK4P695PwjhyfVW9QrAjOWZ0+bPjS+P3fZxiDjPPn0ZZNCIB8a6x85qVW+/8jSsN+5TYa3FgN1R7pFYpbtenbdFeV1+kZX0PeW8zzb767yHNmq+IQ9pXsvUOXIVxfbHB4sn/+2u1ux/q3tTfAiYe0ORxBidqiWuINyrT6zWzX6vNtRWz/OuePSSjpiBqdFHzJa+63e0oG2v4B6FjbE1qOP8iIPkPeNN96QJ598MvKNs35HHnlktImiHnjHo6YbYqOt/fPeTA0b8q9twvPuzaq2V6SPTnX/fXfL1255XnofeZMMGByWV3dsiTIPHT9NNg/+NXnpsb+QU08+PgZI2N2GDRvi+ccwEYxLoX/y7kNjAgyeR19bF/YA58gDs9fImYcNie+DRq+QKDN9zIAYGMtOB4GMWZvAZNPWnbJs7TYZNThkl+JDArsT1Jav2yYPvrJWbjpvXEjA6agTtklskJk6uH+L/M2HDttdtEtOnT5YXl20Uf774SVhH7XtqyOgsWrjdlm8eosMHdAzJP60JaRZd3ACP/ykHFJOv2RyTcrZ0Cdozq54P6qWuGP5Jc8vePQtn+XxRru2EofYtzRHXMdnej7Zw4b8a37R80uezwQutD3NNiyfCf5zfHZVv+T1C8jXgttE+IBZawMey3aoVKxTFhzlzERMgRKJhs3Q1OPRZ/q9FiTXrl0bv9uHfzXaFm8efaa5a/TpPLVAAUeMgKXVt7CBPDn0mWgAWfD/uDYNzvXyyy+Xk046SX7yk59EfK6//vp4OTdpvvnmm7Jx48aoWzizsuHid8sReLwxKGv4e9hjWRQ/mu0V6eOux7vvuVeW7BojA/qHhB0EyF1tRyJ2bdsovVuHya7+o+WJJ54M+5OjIgbx7tS+wS6RxY0kkjAR3LFlI1ZQ5djJA2XM0L6yfP122b51k7w29/WwbD1Aho4YJ/9+92J5OST29EWF8DKOb0wY3k8+fuFE2bV+iaxYtUaGDR0iA4eODm2GwLmrRwjI62TBm4tk6uSJ8sriHdIvzDyPmDBQVq5YLkuXr4z4Y5kU/yLA0VHh01uDho+RN1ZulZlj+8nypYtk7OiRMmRgn5jpCjl67NwmyH7tH9rsF3haFdpctmJVvFsWOrYGId3VL71+Aflge3PnzlX3qy2/5PkFj77lszzeYFPdSZ/9xgoC8Ctav/B48/qlR9/rt9Arj/CkfHId3cT+XNMvrVu3Lh7/wFWTWhBvwUdh+YBhOCItwWPx4sXRmA899FBtUBTLeRl1+SUaHM6faYBZ9HmWRbvIGXtumA3g6rDUA954kbcWREFDk59nCLXLcBGgrSzB5557Lh5IT10k7WEDfnPowwmWOxQu4MY3DvHgqMNTTz0V35k+fXo7DMAFeinaQxEjjhi1S7A93tAWOrN2UTTPomnYr1ixQvBz2GGcRXXUYJn+6WHGPPLnX5V120L2aP9Bsmv3TFJa+sr2TWul16Zlcvppp7ZjAN769Bso23eslNUbt4VZX7gwvE+/eIzi/hdWSt+w1HrKoYOkd7hoHZcL8PlsWObEA91jUNLBNgZPlLHj2z6bhdkmAuFrizfIO0+aEtpom/U9+/oCGTO4dwysfVoGyPCRbbaLvUfU6RuWdIvYIBgiMeekqYPlQ+eMlwfnbJCHX1ktn7pk4u4A2FvmhaMsrX17yrhhfUOwHCMjRo2JXy2ZMGGCelsQ5Af22kzS6pc8J6n1S56T1C65ht954YUXZMaMGckBpOeXPL/g0bd8lscbdOXR9/xCHZ+JAS8GP1q/9XgD/5Zf9PwSz81r/Ra84Z0pU96eZMZ+Y/nMHJ8N+6vql7AVNWLEiPiTejC4bBJ3ktAcOH+Ekd91113y/PPPy/jx4+OHgTGr9Pb49kcEODiIZx6Xr5BhG1+WBQ99VVpP/Yj0bR0RRp3hc0obVsiW578rn7n6ZJkx66i3iTkuJL6MD8Hln29bELNMt4eZHJJtfiNkkuLv2rNs2dIYpMaNQ5br2x/MTs8ORzZwzGNNWArFfieeAaHtw8cPDPuMHes8M399WIZdLR8LmbD9e7+1lzgi7DF+7n2HyT+FRJ/f/69X457pR88fL6eHIyt48PtzCzbIUWFfsn84i9k8DQINAvUQaIJkPfz2+doIhmeffXachWF59eqrr5aTTz55n+e7swxiBodR9dNPPx3PPGJm9P/+2q/Ky7Nfle/e+yVZsiV8aivsIY7rvV4+ceOp8iuf/OVw803HoIcBxdGTW+XfPnFEgnzbbVT6bAifmXvrlptyA5iRnDB1UDgjOUB+GDJP3xfOMWLf8oPhvCQezDaKnwQaFBJ5WsMRFCQSlZe+Jw7vK/+/G99aBcAyLzJ5e7X0kXvCGUwkCb3ntDGdhbB5v0GgQSCBQBMkDwKzQAC54YYbDmhJsVx3++23y7x582Ty5MlxMMAEpV9bMDccf5kdZnp95JCp02T0+MmdxmJb2Gu0vovnZem1LVf2k4+EYx4/fWJZWM7dKuPCPicfXobA37GveGg4DtJn93KrxfC2cMUdgnD4LHU8i/m+M8fEBJ/maRBoEKiPQHMEpICh5+i8JUqvPkhVPQJh1aUIHn2s72sfPa4rm1ef/FeVX6u3dOnSuJyMGSQGA5dddpmceuqpHfbexkycKvixHg87lFuZu15XRP0dYZ9xbFjO/dj5E972epn+0WG5NFevbdj0CMlDPeM+pfZUTaXPwaZq20W7rmMbdelbtL2+15345LRdx667ol962NfhL0f+OvRzdNuCJaTiaJZHFMpLPHAQ3KBnNmBKeLSnORRm6RVpFttgqjn2lsr00SY3ocFLij/W1/izeEP7xWMOGn2CmipnunXqFgq0zywvZHimskdRX8OG8lv0URftpvBDPaZTl40K/LAuj1IU+Stik+Ld44061uijHPTAQyrzl7bHO0zxDrLSsL+KG3MQKJFMc9FFF7V/BLmYdg/+sJzJpKZUyjneL14iXrRL1Kftp+QHf7z6LGV7rI8230qqQtbqW1TK9KkjZu9p2JR5Y4tFGXmtG495dFZ+HkFJ6aZIP9UvaRscYKT6DY/KUMbyO6RfxS949NkvUj6rbWAT5ue7P/xg2T7e0eS3/ALoV/WZxJ7HGMqrEZ7PpK3UoW/5TOCBcmCo9Qv69JTP9LCp65eK/UKLGTEeFg2SjKYYTr2XCpLFNsrlVhkdZW79VJApOoiUI+gK+kU+LflS9MsyFut7vLFuHfqaIab0nsLX043FW26ZpTfeU1lcWp00aZJ8+MMfjsERe3p0ap3VjYZN2aasvuHhk1OeCnKebVj9NmU3Fsad7dN1+20Ofzny5WCbY/8pu7H6bVfJX4W3rvAJnZHNsw3PZ3g+2SvvLH0PnyLmFv4txZR1jkS05ASMxBH5rW/qoQ20qS1NsTwlMMowOtDoczamlfMCb40/tF9MjijzwDN8Wvt8XytH+9YF5jwiYNXXjpcUebXqWxecE/vU8gR1ZmEL/qtiA/4RwEAnRZ9GqsmPm4Kw3/jSSy/Fu1bx4APIuFIuXgKw+6yjpXsLG/CmHWEALY6Kq9oe2kdd64ytRp/OQ8PG4438g751DEOjT79g0ad8miMDj5Zu2DdSfsPzS55fAH4efc1ncYZo+TSPvucX6vhM6NOSzeMN+vL8ouWzPZ/JDypYurd8pscbLxqo6pe8mBHPkReNOmc0neoEuW3ktK/NwIojHouHnPraGnYOfx5ti35xZJMasVaty7Zy+Mc7WpCqI5vHe1F/VpDUBk+4MQgXIYAOEnJw9nPixLYziAzAdfnXsOlK29N4pO46i00ub5bt1dFNDv0cu6zTN3Laz/ELWoDPxc7TbZXyHNnq2P2+oPsc3XSXz87RbZMC50X9pnyvIoCbRO644w55+eWX44Ff7DuecMIJ6oxsrzLbEG8QaBA44BBoguQBp9IDQyBcE/Xggw/KQw89FGe+xx57bAyOPNZxYEjZSNEg0CCwryPQBMl9XUMHCX8IhNj3wR7EE088IbfddpusXLkyBsXzzjsv7jvi9+ZpEGgQaBDYkwi0FNOG8f/8STHBy3LLqcbFd1lf21vx2q9TjrXtnPoawDnyo64mv1ff4s/jvUi3Kn0NG27ukwdN9x62FjYsS/HOS9lxj+IjjzwS7xkdOnSoXHPNNfF2IARP3BhkHT1iu3Wx0fY+cnRbFz8mrpXx92h75WjPsy+r33rt55R7/Yb8pfDPab+ObXqyW7wV7bo7bC9Hb3XszuqXnbEbTXbuqdbFprt8dg6+LbwYmmDxrF55M7V45oXnflKM55y5KdIstsFzjjyzVyzzzvzwrBrP7aSUkntO0qIPnsBLGZ/imaXUZjvraGfBUIdn5VK4Un6LPvnmYKbcDsoZkIplyC5jXZ7TLMpX9zwSaZXPSYIX0F62bFlcWsUPHnzO6/TTT5eRI0fGjFh+AYT2UdZtV2DTFeckizZQtl2eP9V0Y9FHndxzkqkkiOJ5sJRtg1ePvmablJnnRFP9gnZHp1vGhp+j8s5JVvELtA3tnCZlx3vlzFr8zePN80ueXwD9qj6z2HbKJ3u8UQ916NPfpnTDmKH55CJ/WoJSrs+ucn47J2bEc5LF29PRGVFRSwVHmi0E9o4pWOnSUIx2YzvowyFq9AEE3tHow+GCR4s/6wgIOgRoaPTZiax0Y+8ICGS3jhpo2AC3HPrWMQe0ocnPr3NovPFTRXWwQUcofoUFvz/22GNy9913x0A5bdq0uLRa/NIHj0xAp8DWOoYA+SzdWNiAF+1LBmgXtGH7mvz8koHGH9q3joBY9FEG3Wu24fEG/mnX1jETTX76BYs+j/doAzzvCAbl046AWH7J8wsMgNbRNe8IiPb1GmJr+SXaj/a5K5RX9ZkceGp252FDfVl+0fLZns/kERDLJ1s+0/JZKKvrl7yYAb126ghIqgOU/2alLOekM+ekA+fwkXqH9LsrndiTLzWSJp916ua2Yclv4U6+Pd14eqGzx3v4riZuy3nmmWcE30m86qqr5Pjjjw/faXzrOjavvWJ5V/CPNqrahserp19PNx72nvyW7RX12x1HUHJkr9M3ctqvih/rVa2f23e09nNks2zPq9/duu/OfpGLrceDh1+TuFMHwaZupxDAaBXfZ8OyKmaP6MBnnnmmnHHGGXFpVVuG7xSR5uUGgQaBBoEuRKAJkl0I5oHcFO7QxoeHqz5YtsBNOTjSsWjRoniN3LnnnitHHLH7s1QhYOYs5Wv0W8I3pXqFT081T4NAg0CDQFci0HwFpIAmlpq05Ta8ZpWxPOedlAI92l1B36Lh891TFq7dJUMH7ojfOSw/Vn0ERXypA/uPw4cPl2uvvVZOPPHE9v3FVRvCl8XDh4X79+0t23bslNmLNsaAN33MAEHwy5F9/RaROUs3ho8Z95FDx/SPdXaEDyav3rBdRgzqHb6RYevPw98r93j06nu68ezS018d/urwntMvyLsmw56gb9Gug12u/HVktwKCh53Hn1d/fyj3AqbXt96W3aplmGHjHGVahiEZ4ZJZagMey2tall50aiFxhhvR5TX6YiYU/r9czkwltK9l31q8oU1mYWmZUsXlQI0/XrCdKmdiEngtl3vYgD+PPsrjRnPiKyrAl1+5KBsF5GXdVHZr3z695aVFm+QT//aCnDh1sPx5+OBv/5adMaCxk5V5g4y4EACzRxzrgE6OO+44OeecczpcJ/fA7NVy94ur5ZcumCCrw6ek/u22ebJ8ffgaSvie4oTh/eTXr5gsrX3aMgDLtofZLZJhZgfe/vnWBRJiYgiKW+W8I4bLR84dFz8+/PV7F8msCQPlsmMGBxm3RR2nHi3zl/LxKyAp3dH2+JUNLfsWOtZ0Y9Ev2k1qcGLxhveZ3QoaWnarR7+YoVrkAbZE+ql+Sbslbql+wT4DG0r1vWJ2b2f9gkcfstDmtexW4u99BUSTn7arZTZX9ZlFn+hlt6Z4q+uzPZ8JPMGXld0K2TWfSZ9FG07ZPttO9UvPZ+bEDOiupWgYTFxIjQ74N/6bCoLFUYkWJFFfq2vRL7ZdlT/S9njXRkfFEW9q9FHGKKXU4jvFcsqu8VYczVr8ae1buknxXZQvxCv57kNL5MzDhsobKzfLPS+tCkFnmPQsfOoJfLcFrd6BFOZtweHt2CiHjBsuU95xpQwcMkJGjh4jrQMHtqfVL1y9Vb51/+IQ0MbH2d6f/2CurNm0Xf7uIzPjIOI3vvGK/Hege9O5Y4PNtM3yy/azLrz/1z+dL8cfMkg+edFEWbRqi/zef70mM8b2l7NmDZMrTxgp/3rbApk1foBMHIZPsKXHlWw3pdeusj1PN20YppeMrX6TY3dlGVK2qdH3bDOHvie71UYdv+DpzvNZZb66ut979HOwZxsp3+Hppli3is+22s+JGR5/3emzc/lrKaZFc6SkpUrzKyBWKjO/NKA5e0R+rX2PPhSK0ZhWn2nmGn/kTXNE5Flrn6NYrZzpyBp90AUPWn0LG8ieQ9865mDJjzLwl+Lt5UUb5NHX1spffWCG/OTJ5XL3CyFIHjsyvPvWsivqbdy6Q77z0DJZGAJVrx4hGvUI5T2myLhh/eTKKcOlZUdYEw0P8Xlg9krpFz4UfNKhg2Xd5u2yYOUWecfJo+M74OWUaYPlzkDrfWePl3592752UMZ2zrINsnHLDrn82BGx3rhhfWXmuAFy67MrY5CcMXaADG/tLTc/slR+/cop6QgZ/gr+reMj4MfSD3iD/Wq6R13rCIhFH3q37N7jDUKzb1h92/rCCXjQ6oI+bN/7yofV79k3Un6jrl/gERar3/FrGmUDKX7lwhrAWvrx/EIdnwmZUv2iKIfFG97z/KJn92hDw5YrJ1q/yMXG8tma38rxmV7MgFydOgKSm2ZeJ525Tqp1EZSUN2Q6tAa4ly7tye/Vt/irU5eyem1Y8luyIeBgpjZz/MC4H/mrX3lJnpi7Vk4MwY3PmjVr4vLm2CEh2ITYGJNoovPcJcNaw/L49h1hjzCcQ21pO2aBgHrvS6vl5GmDYhMbNofbnkJcHTKgYJKhiQ2bw2UC20IdJbxt2BoGTb3CJ7wKSUXYi1wbZph8jpzYKve8uFLWh2Da2vft+6nUC0ftlu2oUdYpqKubuv2iTt/I5V2DIKd+nb6R035V/Fivav2ibVXBJ0c2y/S8+p7te/Vzyuvw190+O6dfNNmtVb3eQVJv4eotcal1WkiG+bufvy4h5snisEz60ydXxCCJUSqukcN9q2eHbzuec/hUFZn1G8KB+t2l6zftkCWh7XFDR7b9BcugqUgYM27eulat3Hh7lULd8orl+DC7XL5umyxds1VaR7cl9TRPg0CDQINADgJNkMxB6SB+587nVsqYIX3k2pNGtx+xuPGMsXJXWAZdtn6HvPT4XXLzD38a7lg9UUaOmyx/89PX5bUlG8Psri1qbQkbmoeM6i8fO3+CDOnTsx1JBDL87M79kdb+vQSTTwQyPtsxCw0zywEh83XzlvRNSINDPdBYH2ac7U8IuKMDz3wws2wJs82W5ojIQWzJjegNAtUQaIJkNdwOilorwuzruw8vDQFylFxz4qi3glcIQvfPXiNfu3uhvPvwyeGe1dPkpJNOln7Bmj5x4QTZHiJfSLGJ7+8K/yE4DQzLnJs2bQ1HPdqawbLq1HDE4/Xlm+LvWMY9KiyLfufBJXL6YUPCDHVXXI69LOw1toTY2jp4SPwpP5gljhvaR75y1yL5k/dMk+ffWB8ycTfKb1391v7jvEBj+MCWEDh3Ez8otNcI2SDQINAVCLRs2tTmpPAwxT61Z4cNTqTDYhOXxwVSDGzevDkuwfHOzeI7WF9GXW0D3KKPdpi+ntofQJvgDe9o/IE31LWSitCGtmfJVHHtRnvQRX3tmAHqgYfU42FD+fGvRh9tg7a2Sa7JD11Rb7AHyI9EmRff3BCD2flHDo/hbvXqNbIgXCc3edKEOLN87LU1MnzsVHnntZPCvuEO2bBhvfTv1zdcOvB2CXH8YnPABw/w79+/r5wza6j8PCQCbQ77k/369JAPnzMuBtjf/MbsOGs9ZdoQuXp3cH741bWBn/XyvjPHBkMNaeUhUQTPgNDOb19zSFgKfkM++aUX498+cNZYOWpSq2zftlV69GyRFxdsCNmtA2OSUNHei1xqx2P4jnWpP20P72q2x1R3TTcWfR5B0OzS4o1486J42kBZQxZ9r1+SvrZvxz6PdlIPjwBANym/0d30qTONNvDXeIM8OfLzKERX+kzYA+1KszvLZ5IXyy96fon+zooZtL2U3wJt4K75zFyfnTSs3TFD85k5MQO4thQvPIYw0UGG68NSDzJ9mKWnMcWLfrUgiXLrEm2LPoSy6vOSaS1Lj3WtIAmj0vijIViXWJOHFD6gi7qp9mGMlmxoL4d+zMYK5yRTjyU/L1hu5y3YwRkzh4QM0aGxqaVLl8ZvPD7//PPx48c3XnuNvPeM0WGJFDPGYBc724y9d5++adsJf4V9vXXBeQ85fcYQuS/MFm9/fpVccfxI6ddrm3z6ssmyISTYoNUBhSQbLKviwRGOmCFMKoH+qMG95P/cME3WbgwZpCEQIhji6dXSWxBct27fJe88dQwQNG3PuuSZHdm74NyyPZRZWX4afToX6+J/6/L1iEXQjXX5P3WTcnaeX0DbrK/5Bdi+hg2/IAL5tEBVxy+AJ4u+5bM83ti21XfRty2/UMdn8myphq3nMxlAih8eKOrQ80ucmFgxw8I+BxuNN/DJc5JVfbYXM+Kko9gpiudGUsbOd7URLR0529Ha0Orn0LfaLtK3aNehTxpV2s/lT3M0Hv518BsWvt/YJwTYIjYIgNu2bpHHn3gy3piDL3XgQgDcltOjR8/dAbKNW4+3lG3gaAYO/f/imZWyNCTxDOu3M2Sp9o5Ls+UHe46TRvaXvrsDYLkcs8aBYTbaC2uzu5+NIfP1yXnr5N2njg7LrW0DrJwzslV1W8c2LN3V0WtRlpx+meobdenn1Lf6Rk79qrJ5Pqto13X8RlfwV8Une9h58uf6LAub7uoXubxb9HPka/YktYh0EP395ReekR/86Kfy/HPPyZe/9EW58IJzZcqhh8m8efPl5z//mcydO1fGjh0r73nPe8Le40nqbKgKZDhWclj4wYh9a1jaeCvdpmNrh48JS8Kb0kvVeBPJOVgS7lWw6AHhLMovXzQhBnMsl/FMWRU+mzoNAg0CBycCTZA8OPUepd6xfav8+Z//ufzbD5+Uxf2PlN4zPiO/8pVXZeK//VCuOmWijB43MezxbovfeMSXOvBJK2sVoSqUWFptW7bVn82bN8nyFStl5Ki2ywZynphBq56wzGmheadBoEHgYEegQ5DEfoD14Vl8689zklZ91B0YriXTHo++dSMK2kTb1vcILd5Q3/v4p/exaeuDyeRPe8fDBvXr0i/L/+1v/6f80dceln6nfEqGDB0VA9XOXTvlzWUny999/6/kN943QH7v9/9Qhg0b5vYTjzfKrzWEZVBLP4MGDTI/peXRz9GNJSRmodZHe2F7ln16tmf1Cw8bj7ecvlGnX3r0rY+Mgzf0e9BP7Uey3MLP8wsefattjzfw59H3bK+Oz4S/s3Tn8Qb+69D3fCb4Q9KS9tTBpit8thczwH/LLbfc0s4/9mwgkOZwcGE1so3GjRunCo2NZG1Zi5lSmtF69LGJinc0xS9cuDAqfGjYX0s9Fm94H0t+1ueaqGzNWXITXUvOmDdvXsQuha+HDfjLoQ/amrPpIP+uHfI3//pN6X/ch2UgDvRv39R+nn/w6Cmy5tgPytPP/Uyeeuqp9kuK62AD/mE72vVfnu7Xrl0r+Jk4cWJSt3WxAW/QizYIhOywD61vLFmyJOKO72JqtmfpxqLvYePxBn5ef/31yJvmEOvSt/olL0e3Esrmz58vU6ZMSe4Z58hfh77lF9CuxRuw9fyS5xfq+MyNGzfK8uXLZfLkyUm783hDpTr0PZ8J3vDOmDFInHv7UwebrvDZCxYskMGDB8ef1INtmpb777+/Q5C07mDEB3PhjKyZBb/ioV2Wi3IrA9CijzJmQ6UEWrlyZXRi2sgKtNFRNUeIDmHRZ5qy1tnRPu/wTPGHDFEEylSQhVwWNuyM+NeiD0etJacU5Q/fIZFlK1ZL76lhQLGz45cxwnxSevUfLHOenyd33nlnFKUuNmgDzhKyp/CH/NYdkXAGMFg4rNSToxsLG4s3dkbrDszVq1fHIIkZb+qx+kVdbHiEwprpwlmBNy3IW/J7uvf6JY9VaYM3tA/+4LBSttvd9C3deLzRNiy/5PmFOj4TQWbdunXyRjialXo83aCO5Rc9v+TpBrzhHWzVaP3C8pnd7bNXrFgRjqP1VweP8Ssgf/qnf5pkXov6GzZsiN8E3BcfdDQow3IWe5NvOAFtJrQ3+Jq/cIl89cmfycjTPtIWuMLdqhLOFW4N5xY3v3Kb/OonPy6/9uu/vjdYextNdFZk144enb8nuScZx921sDtvWXVP8lSkhW96WitAe4sv0oWTnzRp0t5mI0l/X+YNDO/LusXgFoMkbaa2txWOicuoUaPMbcQOe5I89Kl1dCy3QmgrSKIco1XtnCTKtZmeRx9R3TqPhNE8yjVHigCPUYN3TlKTn99900bjcWoeZqpakAZ/I0aMiDyUHwQBCxu8n0PfOicJ/DCLR7bqAw8+GD6g3EcOWXenvP5QOF946AXSf/BoWb9ivux47Ra54RiRD3/og+1s8jyStofg8YaGLPyhNyz5adhjxIeVAk23Hn1mt2qzcPAG2toqAw+Da/KDNytIQrfWOUmLvoeNxxuwR99Fv9OclUXf65f8nqS2jQK9euckgd/48ePVc5LQr2Ybnl/w6Fs+C7JbvAFbj77nF+r4TAzOwJ82APJ4A/+gb52TtPwSz0lqugFvVpDMwSbnnGRVv4R+AdvUtkmwetqp7FZ0Vh5s1kYAORvF3TV6AG9WYtG+MMq3vibQXbiwXRj7PffcE39guJdfea185tOflp/8/Bb54W0/lKfvfEEuP/VEueYzZ8n73vde6T8wvU7f3Xym2scKgbfJvzf4Ik10ZK9v7E3+9ma/9OTGgNpKuPPqd2f5vswb5MYS+r7cL8AfBmD76oP8FW0bgDx3KkjCUUHoBx54II5Kjz322LhP9PWvf11mz54dlzo/8IEPyNSp+pcguhMszjJuvfVWOeyww2IiABzXN7/5TXn22Wcjb8ccE6ZIe/GBs8IU/8tf/rJgdgSeP/rRj8YZZnc9GA3jMoCf/vSncbaGG3POPvtsmTlzZiT56U/PlBvf86Z87KM3yQ+//aXuYqNWu/fdd5/87Gc/i21cfPHFcskll9Rqrysr33333dHJH3nkkbHZxx9/XL797W+HS99PlhtuuKErSXW6LTgoYIc+iUEiVjO++tWvxv0/5BbA9vbGMixmn9///vflsccei33gwx/+cHRWsE/4kzlz5shNN90U+/GefsDb9773vahHJJx86EMfiry99tpr8h//8R9x5jV9+nT54Ac/uFeW10H/W9/6lrz88sty0UUXxf6AB8ljX/rSl+KKxic+8YmsrPTuwHbx4sXRv2EWCZ+LOIHJwc033xxjByYy7373u+XUU091T0t0B39sE18uevPNN+XKK6+Mf7rjjjuijwGml112WTvpDkHSu80GU/fbb79dvvCFL8jHP/7xKDwSUWA8N954Y3QUWN/VHq/9uuUwnv/6r/+Kne/zn/98DJI//OEP46b2BRdcEBX3yU9+UmbNmpVkMYe+pTSvPupiue/RRx+NzuAjH/lI/J2jaO94TU55+R1k/ELxmD1yOQsXAzBAUp5tO8M3H3ulr5TDO55sHm9eG1b70CsSzBB0EIhSy/0e/Rz+rTZS9THYQcf/xje+Ib/zO78TbyJ64YUXYoCE43rkkUfkBz/4gbzjHe+ISzqdbZ+6qco7+ua///u/y4Nhaf0f/uEfoq0hWxl8w/HDmTITPOdGmK7s10jAQjB65zvfGQMlMPx0WNVAgMQSF7DE3+BnsFdZFTvP7lLlwA0rLeANfRU8ffazn42DDUwSMPDBlgtn51X1k6PfVNuvvPJKnKRcd9118otf/CL+P84x//M//3McVAA/+jrMMq0jGB4+nZUNwRBXVx5++OFxCRf2jyV+TAIefvjhGHzgf/BTlL8rbavYlmY3COC///u/HwePV199dQzeOOmBfgs9g3ecD0f9luKF2/HWk913l6Yax6wRAuPmFWYrIUA++eSTsQMef/zxMQDxQuKy4ACQ+wMpUEhfE4yX9Wp7gjgiAPpXXXVVdACgh9HWhRdeGEctUNJz4VYZGBIvKy/ywX03iz7e15bVIFvx3FD5SAEdEvYE4bhAD6MYBCzsuVjYgK53wTovA0bHgBHASUNm0MOABo4R2aoYQV1++eVRT5AFo2ToFr+jDchfXha2Lm7P4Q3v0Na0DEZesk2dgAdgCL0+88wzghEqfiAHHl7GnkM/5/J3yyFw3428Qc+YpcGBw1lxyQYDMszMLr300sg7Zu/AmvuG1uXzGn3oqIxN0W7LvKEM9o9ZIwYWGIQx+xdHQWAX4BdOAM4MdkW9p2zf65c5F3xD58y0BO1p06bF2RgeYPKd73wn2iySs6644op4/eHTTz8dbRXHG8hfym90hn6qfvGjDOATfM2YMSO+Cl7/8z//M+IPX4cAgCAEHwi+8Xf8WB8f5iXeWq5Ckb7nM8Ef+jJ+MHjEChHkB27495prrom6/sM//MM4gYFv0S61Jy3vgnPLL5V9JjCBv8UD+vBzwAarZujDsAEMdN/3vvfFd3KwyfkoRUqvKb+A4Ae/8d///d/RBmFbaB/9Alih36Lf3HvvvXLuuefGvtFSVBwMAp0EIxWMOIuOEoIdddRRcTaCkWgx5R5O4uijj46zOAj93ve+1zzmoBkLL+PVysEbQMbIEwbLB3yfcsopMUDi56WXXmo/sgDlMKEAQYqdLUWDwUGjz+ColfMLHCxHQMbMgg94x7VuWOa6/vrr5dBDD42YwdjhsLxD2Rb9ooPFoAVLgJhFosOjE0NvmOXDcTPJBQYNHcfR0u6jMRb2dL4pg/SwoTPUztBqqeTgDYaKmcWZZ54ZndRf/dVfyf/6X/+rQxKKR5/HS7QgxYQrb8ZCfPAeRqH4Ac6kj0QA2hsGK+iQtAvYdxX6Xpo9sAU/Rd2BFgINOj4GiuzLmAm9613vitsOGOXD4WMkTdtLye/1S9D3jm6hjSJ2pAPesLSJlShgw4EmbQ388f812+Ql3Fo5LynXyhFcUEb/V+QNq1Jw6NAp+hD8HJat//Vf/zUuBwNH5mrk+oVy/ynSTwVJllPPDC5YLcNyIWa8CJLUE/s1A5CVTIi22L51bM/yC8C/qFu0ieX8z33uc3HVB9gh8CDoYEUPvgmrkb8eMuc5kfB0Y9253Bm/BFvArBF6mzBhQuwb0DcSoJjUhn6LATD9Yktx0xL/jx+8gMhaDJJokOd9igkyGDVQQAADpeGxbs/QysAUHIpVF0ICcPBXDJII4KiLgIOH55aw38GNYwR3LMGCjpZ9SwxSgYB1PNlYjhlQmU/8DYMIKv3FF1+MMz3gaB02L2Kq0ceeBJZVMQJHIEbngaP88Y9/HDHDAyx4oL/oEOkgtLbpiCzZLb2zTDurSJ2k2odz+u3f/u3I/xFHHBFHyXCexfO6ndVNWb+orwUwvAubBwZl/nhYm+0hSw4jaDw4I4ZZHPDmjN3CT6PPc2RaXY038ID+QN3hd8w02A6WPDHYZPC25Lf6BQcIlmyps3APPfRQ/LLMxz72sbi6wzNxXDHBYI469vql1qdpd9ZZPLZd5B8zIGwtYbkXs0rIiK0aPpjhom9j9Qy4wS/l+oWU7XnyFdsGLgg8f/zHfxx5/OIXvxiXqmljHATzhjSrbeJjnR+36rNPFPlDcMZRNyz//uM//mOcCHzmM59p37PHZOWf/umf4oCIA0qvX2iD1876JQxogRf6KewfkygEb/yOlQz2W676xb5RVBhTvaF4/JQfTst58BjlWMfFEhOWX5Ecc+2116rG4mV2euVcbsXGKn7KDxwCDAWjd67DI0hgTw6zOjg0/L6nHsx88FN8wB9GzlAODBNnO7G5TUdchTfu2WGEBIwwq8YeBQY2eDCb+O53vxtHv9AVlrOsGVMVHrqzDowZgR5JFAhAkA+Bs6sfzqo72y76BR07ZpZw/OiIGPwgwQiDSOt7hKSn0ff6hcUv+wPfwfIvBrNwoAiQWNGg7VWVv7N44X3sMf/Wb/1WnMVioIiZ0Omnnx5XPqBrDPaw14blYmspswptrw72pMAbfBlWgjC4xrL0T37yk+hXeGTjtNNOi03V0Y/HS6ptrKRhgIH+jVU/bCWhP2DW9m//9m+RP8yUMCGAT895usr2gM/Pf/7z6GcwQcHAHUuYmLEhoGM1Cyt92PuDDfLGHYvHrrRLBMM/+7M/izNHrKTAn2BFD74Y2xDst1gdpW47ld0KgRBoEHk56oSwMGoQQ8YSlsW6UqgyeJZBYnYBh4Q9SV6DBP7gKLBM96lPfUq9vinHkOq+gzV5dDYEeARKzO6wlAMlVe1oCP5wKMgGRKeBQWK2VXywf4EREbJ+MZNAkNmfHuwdYLCBfQKM6pEIo40897RcwBU2hv4ABwFef+mXfikm9EDPWF7qbkdqyYzlVTh7OAc4TPAD3uC8sK/GjNw9jRscKFZU0Dfh6KFP9AH0hx/96EdxlI/MW7yX6+i7Sgb4DvBR5A0BCPrEYBMPsnG1q9a6ig+tHQRnzHoQeLB9gz1vPJjpYv8USTIY/GCWlsq96E7+4H/p3zAYg78Bj3hgc5iBg3/yXNXvVZUBqzroo3jQJ7A9At3iBxMH+EiswCGO8elUkMRoGKMUbmqjEawpIzjywTtgZG84MSxlYkZbPuaBwIEfOqu9NYuCQ8UgA0tIWMap8hBXjG6Rsoz9R8iMETkcnnYoFnsp+NlfH8wo8LOvPdApBj5IKMKqAJJ2MOjBnum+8MBRYvUEs0b0XQRNHF3Y2w98SNGPYADOLQg41r35pHiDM8dsDcuGe/uBD0B/xw8eLCGCN8y8sXS9tx/YGDL38UCv6BfwSxigcdC4t3kEfSTtgFdsi+BfJkSVeWspZmpybyOVvcmkFi59aCMAZkymAhHratmhFn0wnsMf30nxZ90s4bXPAMv3Ukr25GMbKfm9uryxBAMBJFVhuQr/j71YGB5mkTBI3gOZ4k+Tv5jNyv3mMn6ebvi+pltLdg978IeOhh8kZqV069Hn3oXGH8u1AZRne8CWGdUaf0zw0GynuNdffMfD3iuHTFgSZnapxV9Kfq99r9yzbfCFJVcM8lKD67rte/Qt3Xu80a7ZhqXbKrZn8c6EE8yGMDhL6dXDzuuXHnZev2CSJ2a3dfqFFlQ9+Sy/APwwuwVvWPrV+GvhJi8dFabnXPooMgYnzVRzXnWUYhxlIK5lSrH9VF0eHUnRZ5aj5sSZYg4eNf4s3pg0xCBTBgzlRaxS5Wifg4RUOXjniLlcjt9T2DAhAe1izxdLjljaxn4Dliyw34jZPJxg8eq1lML5NYayI2QqO/jj8kyxfhEb4NxZbKhrjT47anE2kbI9YlR2Njm6QdsMUp3BBnygfdp+Sn5mFfKoRIo/7qezU5ft38KmaDfleh5veJ88QwYeV+gsffJn0S8OtvgedUMeUrbD5VTN99Auq/gFjz74pM2XfRbqerx5fonl5D1le/QrnfWZ1L3VL+gLU7qhjurQ5xEQLWYAP6tfgDazcTuLTV2/xH7Lq/VSg5h4BKR4pRGEAWHtDkYso6JB69t9ENS6uxXl2jVKTNXW6FMorRxgg0eNP9D27gEEDa19BherfSvdmm2n2ueILYUNkhpwvhEzSJTjQC6SHIr3cNJIMZvRshQt+YmLJjuzjqtiw0GYhj8NVLMNYA65NOxzdGNhA/qgrc0kgS8wsGwP7Wv8oX3r7laLPgeGGjYeb8Ae74A36zN1mvz0CxZ9vGN9t5ErIdrgGPyhfmom6fklzy9woKBdzWf5LGataryxbehIkx/tW36hjs/kwEKzuxxsLL9g+SXIjj5h+Uz0CfSpqj4zx2fTdlK25fkFL2ZA/53ak9SmvM3fuwcBzAxxNRaWVrHUiL0vJInsq19L6B4UmlYbBBoEGgT2HgJNkNx72JuUkfGHowRIuMDSKpItkB6/L19mvI9C2bDVINAg0CBQGYEmSFaGrmsrckkCM0bcSIELAfA3JOXgMnJkX3Ht3Fru7lqumtYaBBoEGgQObgSaILmP6B8BEJcB4AeBEmn7559/fvuFAGBzT58X20egadhoEGgQaBDYawjs0SCpJUVQeq+8K1DaEzQ6yycuAsBt/lhaxVEOfGUAn7PaG2dNO8v7gfT+3rYNjf6e4mtP0TmQbKa7ZdlTOtnbtmfhuKcw0HhoQXIIH6Zaa2nuyKTCjIfp9KlGvRvltTR/zpR4P6x2xIJZkOVyHtQHjxp/Fm+dSSdmxldRfqaaAx+eRyuXg/fipcM4o4OrkHDNFOrgJhzeI8ijLMUBBFO1Nfo8C8eU6rJ++BWOstHxYmnyh3raERArzZ/1UqncKOOXLFJGjzralx6gW972lNItsdfoo9zDxuKNqfbMstRsjzJqR1Twd003Fn0eAUnh5vEGnng8CjS0L0J49Hl8qmxTRfplu8HvxJ5ZltoRkGLfKL9j+SW0XzzylWqfX7HQjt/wWIx2BMTiLYc+bTflF4BRVZ9Ju+d1otrRI81nUpd16PMIiBYz+PUbrd/yQvsq2BR9dhW/lBMz4hGV4v4WGdVSpZHOC6FRrjlCtKHduIM6KNf21LicaH1Fnan0qc6KmZf1JQ3STp1HojPBv1aquFUe04XDMQXrKyc4tgEcEBiRmIODwLgJh3etIjEHMqbaIOYaf6BvHXOgblLOAG3C0LS2Uccq93gDbuhQvFy9rD+eYdRsgzal2Z5H38OGR5usETX512yP6eSpvsG62vEciz6du3X8ReONvEJ/sA1NvxZ9+gWLPm0rNXAG/94RENqWdgQEmFbxC+Anh77mszgw8m4R0/wS6Ht+oY7P5Fd1NJ9D+S3sLL/o+Wz6klT70CntXeu3OdjA7iyfXdUvoZ4XM+Kl+0XiAAS/awyh0eJPqkOwvnYw1mrfo882Pf4sQC36Fu/FIFq1fRjM7Nmz4zcecckvrmrCZ4tw3RrK+AUTL4hb5b0M/VnyMQhqbaPdHU7bRYw6axus6+mW9ldu37ONHN0Sgyq8e32jq+hX4Y0zuhzb12b5Xl323Sr8oS7oajTq+oVc7DWfZfHWFX6hjs/0+q3XL4r9rorP9rDtqn5R1ed68pM/q/09uieZ6kAH0t8AdO/evZIirVm9MiblIEgiIJ511lnxh59kSS2hphrqYQDWO7TbqyVNvy7OvVrC4GlHz7rNNPUbBBoEGgT2KwSaINmF6sKSwg8eXSY/fmK5DOrX9gHr7Tt2yoxxA+Wdx/aT3r16xLOO55xzTvx+XvnRlrD5XvzeZM8e8p2Hlsgho/rJKdOGdGjioTkb5OZHwgexd4YbPsJ723bskpXrt8kvXzRRzp41tFOS/vypFfK9R5ZIa99esiO0d8zkQfLxCybIotVb5GdPLpfrTxsjg/o35tMpUJuXGwQaBPY7BBov14UqQ1B87o3wRevQ5m9fO1Uws9u2fad87e4F8n9vXy2/e+0NMnJwP+kRZpzlB3Vb+/cxucH6OQLUM/PXyQVHDnvbuydOHSzTxw6Ie549Q3v/92fzZe7S7TJ1dP9OSRmqyz0vrZJjp4QvRpw1Tnbubi80KaMG9ZHN23bGQP2x89u+V9k8DQINAg0CByoCLcWzd/h/bECnzuPBiTOBQMsSA0ioq53ng/PW2mfdquXMbmICSGpWRt6spCOPPvlMBTkst/bt3VNGD+0rY1p7hI/bzpW+ffrKb1w9RX75iy/KzY+vll+6cHzhK/c9w0xvu7y5ckuhua0SYpSMHdpHRg/uHbDcGct69eop6zfvlO+HmeINp4+RkYNQ1vGDqn167ZKxg8O4p0dPeXLeOpmzZJP8+Xuny8Thfdv1omXeInEjZjoHHa0LdFat2yonTh0UZ45DB7bIuCDTzh3bw0y2p1x5/Ej53I/myZkzh8qs8QMij+TFOstJbFP4s6yq7Xn0UW7tOZK+lrjj9Q3attY3vPatcgubnH5T7Buafiz6luzFPq+1TZurU+71S6+cCSgpR16nbg7+bF/b96rjMz2f7OmuqL9Uv6zjsxkzPJ/MPd+UbnJ8toWf5RdyYgZ4b0H2Dh80GLN5wgwoFQR4vAH/ltON+T4vvE2VA3C0X6RZpGPRx3uoxzbK/MEAUZ8pyVqGIY+YpBTCulYGIuqljL2YXdazZy9ZunyFPPrYEzIjLKuOGT8xLFe2yvxlG+PMcteObXF21qtXH5mzdFNcog3RKS7PYhaH5c1Ljx0how4f0o4V3n1g9uoQAEWOO2RQaGN7SH3f3uFC7k3hSyD9+oYLhVv6yT/8zxty2oyhctSk1oAL3t3Wjk2Zf8xQ8TfcDbtrZ/hs0cKNcteLq2XL9l3y+Jx1smDlZrnmhFHyrpOHy86g+0kj+sUgfvcLq0KQ7B/abWtbw4ZY8wsrKfxgL8Rfsz2+k7Itjz7LtQES7V4LkvwKSCr7krbHlPQUf7T5KvQtbNgvYPvauVo6K6bjp3iw5M/pl+BR69f0CdYAhP06hZ1Hn/6oKn3UI0Zl22OAxzuWz7Pkt+qCXlWfCZ7ZNn1jmX/LZxZ9tuYXPZ9t+Uz2C/plrd9a20zFIyaaz9b8BrHV/BL4K/YttV8Ub65HBVTUbrNHKq6Xag5CVsouyq0vEVj04QTAo5aKzq9EeF8BsTqrdaM8g2cqiK5YsUIG9G9LVd6+fUv4sPLw8FHUa6RPwAzPoLC3tzLsSYbe2P43/P2kQwfHH+0pYvXE3HUyMLQzojUc1wgrtv37935btX79+sodz6+W5WEv8p0nj4rlvXq1hHfbBj5oLyU/PkD6D3/3l2EE0CKHhuXZr3/qKDkhzCSxB/p0WN79g/98TQ4Z019O3s3rmCF9w1LuphDUw+y5L9psW0L20vS1L00ww9GyPejGOqLi0cdARgsksCvrXlzoPOcrINbxIesYgUXfw8bjrc0G2r6yYX2lRJPf8wugD0doHRFpS2p7u72CN7YP+toAqo5f4ExFo2/5LI83Ymv5JbwDjKyv81T1mfw6iYa95zPBG32y5hctn83BmfXlKOuIRg42ms9CXQ6grC9HWX6BX8exjiV2mDJ6GZZeYgkB197Lad+i4dUnfS3gsL5lDBb9HjvbRpzB5NtJbNiwId61Om/uXHnfje9p/xZn374d9xdfXxFmeSHzNayadnieX7Bebnt2Zfxb+/Q/zCbPnDnkbYk5W8MsFMk/2NLcGmZ5P3tymbyyeKP0CUu8Zx02VE44pDW282CYcU4f2/9te5FcminLf+fzK+Wp+RtkwMABMm34Jrno6OFh7/Eth3Z4WFIdGZZ+X3pzQ3uQRPDcsCUsz2NGHGfAWCS2Hwt/T7de+znlObZV1TZyZa9imznYePLX6Rt16efUt/jLqZ+jWw/7VDnb7a72u8JnWrbnYVekrx3/qSt7Hf7q+uyu6BdN4o7n3UL5PXfcKl/7zo/llfmLwxGL3nLqMdPkQze+U3r27hcuBLhdcK3c8ccfL4MGDwlLpUulbzguUXywP/jiwg3yW9dMjQk1xWdQv5b2YMaSsNoqQwe8fdQ9blhfWRj2CDeFxJneIUiNxT5heBeBc8iAlji7XL95e5xFnj7jrczXtpmIyMCBAwPptn3h4oh9RAiIE4f1CnfGvikjD5kqdz6/KvyslN9/59S4xzpveaC5daccHZZu+WwIdMYHfhAsm6dBoEGgQeBARaAJkoZmd4R9ti996V/lj794uywbeZ60DLs47Nltl/seeEG++N+/KpeeMF5OOuV0ue666+TYY4+VXr2xHL1D7nt5tfz1T+bHgIjZ32thWfIDIUv0uEn94oyrOGKbPLKf4Kftwb6erpLzjhgmD4S25y7dKEdMaA17jh2PgKCF5Ws3y+JVW2RKe5vYy90aZn075ZG5m+Toif3DLLGlQ5DE8Y6prRvk//nCH8uvXP19WbJ2q/z8qeXy6/8xWw4Z3U9eXLBBrjlpVNwLxbNu03aZv3yzXHjU8AO1XzRyNQg0CDQIRAQ6eGSsz2rr5niZCR4WdvEsX2gn9SA4eO1b5SjTNs9BD7Mj61Jw1NcyzCIYpfaffeox+cN/+rFsPOpXZfjwsSHabI57ijJmiqzqN0yemvN9+b3fPV+OOvb4dnE/ct5EOevwkYKZFt5FUHzv2RNl8vAWefXVV+SQMFPTZNwc6vQLM0vtmRGOd+B85L0hqQZBsvxgz2x02Cv8o+umFQKvyKKFi2IAnxfyg8YP6yfjh799lrphq8jKdW1ZtmMG95HPv3+G3Dd7Xch03SFXnThWjhiPAL8z7j0+HvZG+4TZ8kXHtO15EjuvT1n4Qy+ebXi68+zSsy1tqTVHvhzbq0rfw8Zql5jktKHJ7/kF0Pews3SH9lFf67s59C2/kNPvLdoWbym/UbZDaz+S9av6zBzZLGxIX9OP57M9n8w9Ua1v5mDj9XtrSdXrG1n9dv78+e38M1VZ2+Bev359zKYq1ikLb2Uw4l1cRqwlN3j0mWmmCb5mzZp4WTD4TD1eBiPpt91jKnL77beFZJsJMmLkZNm1eVVbk9h627ZRBk04UhYufVBefOE5GTF6bJQrJnb0aZEjhoRAV5jkbd28LmC2U1aswN5jDzWBwcIGhjB06BD5fy6ZLF/4+eshUK2V6cN2yMpVqyNbWEodMmSI9A0O5/AJAwKfbccyIPPChW/K0FETZEC/Vmlt2SqrVm6Svv36y7JlyKptG1y8+eabETvoNiY6BPmPGBLuax0aLkTYuT4sKW+R1rBnKf1HyG3PrZT3njFOtm9aI3OXr9ydrNSW3WoZJeSDbWl7H8BPsz1c2YcjKprtMXtVo1/HLiEXU+k1/lavXh1x4CX0XdkvoHsLG4838LJuXchSXrBATa7pzn4J3q1Ag34H/c4N+/pa4g5k1LD3/IJH38u6tnijbUBHlu1ZzriObcLeoFutX3jYgH/PL9axjbVr18aJjRaomVWrDRI83ryY4fkF8AcaiB2pB7K3tLa+NSNhGrOW6cMU62KdcsNQGi/dLZfRkKzsVtDQ6DPVWwuyMBbU1fizeKOx86LnlnC927ixY6XHjpfjDCpGTSan9Oglu7ZvkoG9t8rgoUNjViR4Qvtx5BSySYsPboprDUmuwAXBLMW/hw3Ke4WjJUMH95JfvWxSvLCgT+9t8WPMeNDmPffcI9/5znc6GOQ73vEOueKKy2VXj5ZwFCUsud53q8wNn+T62Mc/HnFCu+jA4AudvIgdxgP4CWRDee/Af8jQC3uUHz9/fJjR9o9BC/SZig4+rIuWEYStC84t3YNPlGu6pW1q9GHs0I3WGcEbbEebEXm2B0eKti3bs1ZZLPpev/R4g15wkT7sdMCAMNBJPN1JH9hbM1nIt3LlyoidFiTr+AWPvuUXPN4ApYd/HfqeXwBesD3N7jzewH8dn83jHZrPRtt4R+OvDjb02WhfiwmeX0BwRL/Q+IOPaxkxYkSHLgOhrHRYKKRcp9iAVR/voTNqQZIKs+jDaK3RPGZTGn8eb8URewyWA1pl+PrnZPmLt8uQ6WcJr0XFmcM1z/5M3hdmU+ece4H0H4CEmLZZsrX8sXjx4sibplAPGyh8y5ZtMjYsqbY9fdpp4zd8Zuu0007roE90oscffyIG/LFjRslTTz4ps2bNijwUcQI25b8VGwI2W4J8/fq2tF9HB+PisQFvxFZX95AD8mu69ehbs9gc3nieStMdspxhl5bt8UsrWpCq2i883kAPqwbDhw/fnbz1dg4827P6jjea92YL4AafjRs16q3l+zKHnl+y/IJH3/MLHm/eTN7zCx59SzewGdieZnceb57P9foG/ALk03w2V9g0/upiw8Gz9XUbyKDN8jE4Q8wYNuztN5ihXgySRWO0bi7Ae9a0me2wjdSIHQJpt26gvkffUzjat9bfWd9af0d9XEJ+xx13yLyw9PiJGy6SOx+5S555+jVZ1WdiAGG7jNw+T957dB/5vd/+vQ5BCu3zTFbKEVrye9gQ/1S7xb9hRFScDUEe/P5Xf/3XgqUFBNLLL7/8bc1wWUZrP5aHtqxyyxip33JmLdujo9Xa5/GVqvTBvzWbofzWGVrLdr2+QdvWOqtF38PG6zfAzLMvi77XPsu95VBtFk/a+Ff7VJbnN6wgyfYt+hZtYmfV9+hbfqGuz7T25Dyf6fXLHLup2y88bDSfkRszLL+UEzOa7NaC18Vo+9Zbb5UXXnghzqrODReRn3/+BfI7WzfGvz/z3ItxtnD6KTfI+Rdd6sWrPV6eCgQIDPgUF7JvMaJuOwbSPA0CDQINAg0COQg0QTKghOWMxx9/XO69995wVnC5HHfccXLhhRfKuHHj2jAMt9i887rrw08OpPvmO9ZNOPsmxw1XDQINAg0Cex+BluJUnbcb1LmlwGrDa79OeXGZTOOf7Rdhfy0ksfziF7+IFwKMHz9e3v3ud8uJJ57Yvu9ZbIuZi9a1dykaRXpauSc7l8yK/5bNx2tDy6LjTT912iZOlu3UsY0yhinZ6/JflffyEm2qHU83lt3k1vX6bQ6NlEuqSz+nPnVXBzuv31cpL9p1lfpFuarU7wx2VXTn8ZdDX7OrruwXVbDzfGZuzGjBLIoPluu0i26xbMdNWAQLbe8PZRBI25NklmFKoRZ9vI+6Glhtd6biIu+t8SfFH3jDewhySKLBR5CfeuqpyAq+8YhlycGDB8e68YsYpQftWo4Y5db+DcrAg3YEwsKG8lv0mUmm7XsxyJf3ZKEr6hT2UAyahADYMpU+pTsPG/Kv7T8Ac+qn3D6PVoC+ZnsefQ8bZtlpe5K8SDpVTtsD3xZ/kFHTjUXfwgY0Ld5QDv5ge6DB/pmybbyXks/rl94F3tSr5jPYZ2B72p6k5peK8qfskjqBbBp9+hVrP1TjLYc+/aa2d1fVZ0JX9Dmaz7N8JvHS/AJ9jeWX6BdSeR6MGfR7mk9GGxY2tOGUfuv4pZyYEROLipcac09Lu+gYS3Y8IqEZJIIYgpAWJFGute/R58FULQsQDgg8ajM97CeCPpZWb7stnIEMmU3HHHOMnH322eGQ/yFRJGTvavVpCFo56oMHLYGBl0yn5OdozLpkO4c+aGuOGDSAXcqg+XeNPm/a18pzeEMnsS6xRqfX2gfmkKuObixsyJsWJEEbGGj8Ue/WKgNsU9ONRZ/JVxZtizfYJS9yto5faZfPe/0SMuEdrW0OjLQlfybNgL4WqGBfmvyeX/DoWz7L443YQkdWdrLlF+r4TAYw74JzizfLL3h+iROTOjHDw0bzWcC+rl/yYgb0f1DtSb766qty1113ybx582TMmDHtS6t0XDxGoA0Amr83CDQINAg0CBxcCBwUQRIHqe+//3558MEHo3YxczzzzDPDDTZDDy5tN9I2CDQINAg0CHQKgQM6SGJmiD3H22+/PS6tHhY+gIwAiX+bp0GgQaBBoEGgQcBDoEOQxNq9dVGxVUZCVhs57Xv0PR64H4hsVXznERcD4DaFd73rXXLUUUeZ5wRz+LMA9eqjrsZ/nbo52JO2Rb+ObJ5ecuh7uvf488q99uuUex3N02939puifWh8dif9HNnr9I2c9qvqlvWq1vfs3ivPka2O3XcFfQ+bOvzlyF+HvmV3LGvh3Xb4A7PYUskFYIT3AOJfLcsU7eFdLXEH5UWaRQAt+niPmVqpxBN+KQDnHB999NF4jynaO/XUU+PSKq68wvVNWgYl2ucmsHVRsQUq5PLS7HkMo2w4qGdhg/eJm2YUpO9dtFzGj1e+kQe0X9Yvs8isi4g9g7MuckbiAy8zLmMDfphBqdleV2AD+7Kw1W5lQR3eiuPxZ+lGo29hQ7vQeKNO2IbFn0bf65fUjXaTlZWZSr8De9OyKLubvuWzeFuPleGZI791Y1RVn5nTLyyfyX5G/aT05/kly2cyZgBDy+48bMCXZlt1/BL7LdtIxbTok4ppubxaK5WqywYZBLR0araRcjaoa13fZdGHQglmkTboYPYIQV966aW47wjDQLbqWWedJTNnzowA429eZ82hTz5SoyOvviW/h02Rroe9V54KQkVsU0HSk400Ndrk3+NNs73iea3UOx79HP6ZRdpZ3cK+cvjLsf1Uv8nlXcOWbbKdlDOw+m1d+jm6of13h/w59DXdl/tFZ22Ddk//adXvrM8stkk+y+2nfGbqHc12PL9k2UZuv8jBJoVb0adYfkXz2eTP6xctxdRhGoqWTowUbgQa60sPaAP1tcjPcs1YAJiV5p+qj888YWkVRzuwtHrFFVfICSec0IFP8M40dW22wMvJNfqsp6Wyw6Cs76PxjKbWvoVNcZZm0YdutNke2kc6dUp+6kzjDXJB91Wx4YxBo0/Hbdke5NJsL0c3FjbWEQbwDtrW8SfypvEH7KE36/5PLU3fw8bjDfzT9qxjGNbxEKtfgj7ws45Ggb6FDcq1VH/PL/EMZB36ms8CbYs3Ymv1Xc8v1PGZ5FvTaw42ll9ggLH8Am0r5dP5aTxN9znYaD4D9Or6JdgusLMuSO+wJ2ktFYIhbYm1CI633Gi1kUO/WB/fjcSFAFhaBVhIyLnoootk2rRpyYEH29eCZA59bURDfDyMtHKPdg7+XhuW/Dl8e7qzsCnio42Y67TfFfyjjaq24emnrm48bDz5c/mrqps6/LFu1b6Ri61mn57PysWuSvue38iRrSt8kmb7OfTr6j6nftV+2RX9Yr/KbgVQiPgQ/Omnn46zx4ULF8qUKVPkkksuiSM+7ZMnngNvyhsEGgQaBBoEGgTKCOxXQRJTdny9/OGHH25fWsVHhXFrDr5ugXtYtaSgRvUNAg0CDQINAg0CnUVgvzkCgsxUXAhw3333xZkks1bbv9SxezlYm5YDGJTVLbcA9tonD6k26tRle14bVrmFSy52nvF59D3deNh75V77dcrryO7hW0evRb6qyleXfk79On0jp/06slu8ebqrW54jWx279/jLoe/5jjr81aWfw5tnGy3Fi7yxgcs08PJaLpYycXyCd/VpF9KiPW52l8FBm7xAOwUcU73JNLNWn3/++RggcfYRS6vnn3++zJo1KyZBoD20y+QF8KhdMm3xBppMZ8b/l+XH33gRcCqTDOW8BJl3xJYdFOoR73L7HjY59NE2ZMD+bGotHuWpvQe8T2x44X2xfhEbyNRZbIgD204ZJeVP2QVtj5d0l22vK7CxeEP7WKEg3bL8tD3wzguny7pH+/EeSEU3Fn3YDW2vjI/HG94HfqANGinbxDsefV4gb9FP7V+xX5CHlO2AN/YNYFl+x/JLaJ+Xe1ehT9lTPgtte7zl0mdil9Yvq/hMYqtdIO7xRl1W9dmez4TM6DdazEB90ObdrZ3Fpq5fYsKZFTPQL1qKWT10/tz3K3d0CMPziFaWHuprZ26gUCvDDjSZZbdo0SK588475cknn5Thw4fLlVdeKccff7yMGDEidiTwy6wpAEbeNEdA2ineUJ9/1+SnErVyOkEtSIIGM6lSQdLCphi4Lfq8xDtlcGy/HKTIF/8tB0Jiw/KUo7OwoR2hs4B3LUgyAzTliJl5TBss22aObixsLN7ALzukhj1tT+OP7WtB0qJf7JcpbCzeOFNgdmmKf7xTlz5tK2UbDACW3dK2tCCJdrX64J+201n6qKv5BQZJizfaskXf8gsWffZDzS+ANmyauk3JbmFDW7L8Itq06Hs+k3FC6xd1sKnrl1jfCtLxnGQ52FkHN1FWDCbaqB/vaZcJaGUc8aIeIjuyVvGDr3LgOMcFF1wQLyXnJeQMimVn6fGP9rXjKaxrlZNPS3atPrHTBhAWNkW6dfjX8PF0Wxcb8q/RpyPVBl85/NXRDbFPBXCPdwYiq2/k4AfZU/TZroWNZffFQGnZjka/2Dc1u4czrWqXXN3w+m539UvS1XyW1W+7sl9W9Zme3Vn9oqjbKn4px661WXJOv2K/rGpbrFfFJ5O/fSpxB8p+5pln5KGHHpJXXnlFDj30UEFizhFHHBGdB5dVtFtLUh24+VuDQINAg0CDQINAVQT2mSC5bNkyueOOO+SJJ56QIUOGyKWXXipnnHGGDBo0qKpsTb0GgQaBBoEGgQaBWgjs9SCJjVvctYql1RUrVsRLyBEgx44dW0uwpnKDQINAg0CDQINAXQT26hGQl19+OSbm4GPIWFpFcMStOTjzmHqYQGEJre0poY5XP6fco23RJw/dIVtd+XL49rD1jNHCtyuwr6ObHPo5GGk81Gm/Tt0iP57+tPK69HPq1+kbOe3Xkd3irW6/8+rnyFbH7ruCflVsPdpdVZ7jl6x+21JM7WaKfWoDGUAwDZ5fm0g1zPZSbTD5YvHixfG8I7JW8Td84/Gcc86Jy6w4D6mlm/NGey25gUdINP54vEXbxOUREC1BQuOLOHDP1LpsF+9oG+Qos/Zbc+lrbWjygx/yrh0B4k35GnYeb8CIsqfaYJq/Zns8WmHp1uoM3n42v/KgdXjafop31OGXDiz+kKBi6UZLnLGwgcwWb3Q0bMPiT6Nv+QXS5/2qmk8AbqmMa7zPYxZI2Evpv7vpWz7L4y1XfrbTWZ8JzDS/UMzT8OzOCmSWX7ToQxbLZ+bEDPZrzWfm+GzwUMUvsd/y60sp+4zYe1E2VY7GNYPX3keqMjJVsayKG3NWrVolxx13nJx77rmCCwEgpHa+MYdHb5Sf00bzzr6LAEfUnbW9PSFR0fb2Rf72BAYNjQaBMgL7er/wZumU523nJFGgnWNEoPNmO/waQDmy4zq5W265JV4dN2HCBLnssstikCyOHHnTvEYfQmln6cA3D+xqN86TNy2gciSt0SdoWjl4874CYt04b52TLBqgRd/70gUwTsnPs61a2zw6UxUbjjo1+jwIbtkebMrLbK6KjfWFD/AO2jxLmHKHxXOSqXLqVlulsOh72Hi8kX9go/UNiz5H+daXJizb5fEQ7ysg1pc4LL/k+QWPvuazQJPHF6wvG3n0Pb9g0QcPFrbst9bXcSyfyfa1funR93wmvwKi9dtcbCyfDfuv6pdQFzxq+MVzksUOnbqxolzujZfKbaxevTpeRP7YY4/F2Se+8YgbcwYPHvy2pnLoezNYq5zta4Dn0Lfk9+qjrsZfnbrkyWujf//+Kvs5uHrY5tpGCn+P9xz+6uimrm1YumWZhx/PC5blyMHGwyeXv6q6yZFN0w/rVu0bdfGx6nu8dUa3lvx1ZK9j90X+95buc2ynu3x2Tr+otNxqKQXCYHSBkSn2HG+//XZZuXJlvIT8tNNOi7NIy1l7jrYptxHAiA2zfSRFIRkKSVBYxv7e974XdfKe97ynwb8xogaBBoEGgUwEujxIIkBiSZVZq6NGjZLrrrtOTjzxxLhUhn3J5ukeBLDkgKSoL3zhCzFIfvGLX4wB8Rvf+Eb8pNiAAQPkH/7hH+Szn/2suzzRPRw2rTYINAg0COxfCHTpEZA1a9bIXXfdFc894kFSzumnny5Dhw7NQsXbSPXKQaS705G9WbSXQKSV15UNfGGA8uyzz8qkSZNiQMQyBs6evvHGG/LpT386fjn+N3/zN+NF8bggvvjk8O1h6ynZktGTP4e/OrrJoV+Hhzrt16mbq+O6uvFswyu3+m5d+evUJ98e/91VnsN7Hbsn7lX9Unfzl9O+h32OX9LeQdstmHHwgVPlhbOpSvzKBL/ZiAbgeDE7xOwRy6twyvhSx+GHHy4zZsyIvy9durR9L45fqUi179HnRc9a8sPatWvjERIs76Yeizbez6GP97R0Y2AHTLTy9evXxwBlJW9YiSmUHxct4IYiyMoHepg4caJcfPHF8UKGr33ta1Ge5cuXR/0wuQMXxWMwA51AN7wbETNNtAd7gAzlfQL8Dvoa70zu0GQHnx7+Vjlv6i/aa1HHHn3ohkeQqtiGZ3vQLdpft26danvW3ah1sPF4A0PoG/PnzzcTdzTby+kXeEezDa9foC5sb/bs2erl95Zf8uT36AN7TTceb8C2O+l7/Qa+mP02ZXgeb177XrlnG/A94IFfmSnzmKMbyyfW9UvoF+AN/lT1C1OnTm0vgzBwRtqeIRqC0Iccckg0KjgFGPa9994b71qFA8Zdq2eeeWbsjDC+8vkX1McsR1OoRR8GgfaYBVtuY968edLa2iojR45Mto8gjy+MaCMPnsfS5Od5Ki2TKn5WJSwpa0qFbAhk/MpJmUkLG7zLs3z49xe/+EX8ADUfLGt/5CMfiWdN+UkslOF3ziqhEzhx/I4vqXCGDzygT8gNe0gFSZ5B1Xj3sAEvkA80UvjD2IGfhj2ODOGnaK9F/Dz6/EyU5sg97HlOVJMfs3Xgq90UBZ3AbqrQ97DxeANO6J84aoX+kXrq9EvQZ4Zmqm3YPbMItX6PwQ/8inaGto5f8OhDN1ZmrcUb5PH8kucXLPrsN5rPxOAMX0vS+oXHG9r3/KJlG57PxPYP7AN+L/XkYOP5bMhY1S9h0jJs2LD4k3owAFE/lZWqUDxiAeXgzCMCJB4urSJrlem0qWBhpdFz1FP1CAg7ovUpLu1TTZABCsdTNZ3YS2dmqrLWvoVNUR8IfFg+LT/kH//CsGE8o0ePjsHw5ptvjg4SP0jogS6LDts7AsIRX1VswGvVT2WhLj8JVJU+dGMdj/Gwh+6sVHMOjjzbs1YRtLocLVtHMLw0eK9v1OmXaLsrjoDQBst2XdcvAD8rSJN3LUATW22VBIM+65iF5xcs+sV+k/LJXr/weKPfs/yiZRuez2QMqHpsjthYExuUVfULXr/o9BEQKASR9bnnnotnHjGzxOgPRzpmzpwZdYhRCZfwykrtzlRt0tqb6cSefOCxaqq3VZeyYzaFETFm9LjBCJmtMNIPfOADMYkHozok7aSu/fOOEHiyefXJP97TZpKe7pJDvd1/9Ojn8K/xVuRd4yG3fa9+VWw8+T37If/dQT8Hmzp9I6d9z7asfpmLnafbKuU5snn9wrONva37HN1oQbIuPjm67VR2K/axsMyH6T1mM1haxYUAxamupxBLoU1ZfQQwasVSKvYm+WD5+Xd/93frN9600CDQINAgcJAh8Lbs1pT82MfCNx5xrANBEOcd8ZPaf/Gy5Cx8rSwl1PMynTzdefVz6OfQqCKjR5vye21b7Vh7Dx79utiR76pZdF2Be46MGh2vrsdfrv5S7XQV9h6Plm7q2F0u/3uLvqUb8mTp35PP030dn5mjU89269D32q7Ln4dtTrnHg1fegvVmPpiFYA0YP7wQAEuruDFnwYIFcW8Le4/4ziP3IcozR2aKpdbv8S7aLtIsMkja+LfcLsBgIhCWEFPl4J8ypGa0vIw3xRvbJw8affALbFLl3LdDW6ly/I1JDuVyDxvyZ9FH2zRaTf7iO8Sema/kAX8v1idtjXePN9Kh7lMdi9ikbAPv0yYs26iDDROTUrzl2IZle+SfsqV0Y9FH20zOKXdojzc6aOo2hR/e8ehr/bZIX+uX4J17ulq/of5Tfavol6r4BYs+Zec7RXyLdke/VoW+5RdAr6rPzO0X3BPVVvksv2j5Jc/2UO71C/aJlM8kNtgXtHx2Vb9EmlbMiFnV5SBJI0Hm5D333BPP3WGP613veldcxsMGKRrVvvpAY0slKHiBgAGKR0zKDoE33afKAWKxM5Wzaj1jZDmdRWp0QaysIyDWqISOIMW/hw35w78afcsJWwbHARF4AG8pg6WT1nTjYVN0xFqChBYIOCCjfjXd1sHGCuBol1mClu1Z/NGuNEdl0beCpMcbMSFvwFgL0qkBFPVmDW4tbGh31vEbBm62U+5Dnl/g4NmyTY8+6mpfIGG/SNkd5UOZRl8bmFDOqj6TQdKyO8tnFunztEIZe88vMUBp/QKye/1W6xO5PptBvrM+OydmxCBZTp1Fmj0uBLj//vtjIDzllFNiEgiWVnHmDudKrGMOENi6DBjlWrouwATjWjkUaR0BAV/WBeKkrS0RABDIrNGnc7cyqbwLztG21r6FTTEAWPStDE5LfvBkYU8nXwcb6M46AgK9aO3DpqB/K8MTGFXFhrxpgxzoFZ1R4w/lwN7KULWOgFj0oTcLG483yATsgKF2fMqi7/VL0Id9aG2Dd+8ICMphG1aGaVW/4NG3fBZl13gjtpZfwjvd5TN5LEyzO89ngjfPL1p+yfOZ4Av9pqrP9Hir65foU6ys9A57kpg14q5VnPnCuZuLLrooZq0yqKSWwlIjD21kgL9bo4a65VS45ujYvhYkc+hrbZO2JZ/Fn0fbky2HviV/Dt+e7ixsivxpy6112u8K/hmMUnLU1Y9X39ONh40nv2c/3Uk/R/Y6fSOn/ar4sV7V+p3pl1XsztO7h01X9Ms9gU13+eycfhGDJLJWkZTz+OOPx6zVK6+8Ms4gtYPHnjNsyhsEGgQaBBoEGgQOBARaEByRuYoM1qOPPjoureJaueZpEGgQaBBoEGgQONgRaPnxj38c71i95pprOiytpoDRprzFd/GO9p5VhjbqlrMNTal12/fk99q3+KtTl/J6bXi6sTpDTtteZ/LoW/jmYF+Xf49+HR5y8OuuflO0jyp9ow7vuf26Tt/oTv6okzq2UYe/nLp17N7TTw79vYWNx7sXD3L7RQuOdOCuVdxdhwwl3p9ZXmfGhjo2ibEviX+1TC/UR13tCAjvUUwplpuwqFumD0UU6ab4I28afxZvaL+YCp2iD97xpNb5UR/laAMJHKn6wAw84N1yOX63sGH7Fn20HbOxEkdkUI+XDJeNGpvXKAN/RRmLRkRsUrx7vLEdtK11OshPbMq2AXtAXSYJlG3Po49yDxuLN9RH32Aqv2Z7ZRst4of2rVR8iz71knJGHm/ggdnBoIEEhdQekkcffcqjT9ss6o/YM5Mw1S+YAQkdaUdAQL+KX/Dog1fInvJZqOvx5vklzy+wX1bxmWzb6heWz6Seqvpsz2cyZlj88e7WlM/0sCnSr+KX2C+AkRYzYBst1157bcSKDqB8p2exo/Osk5YujHfhoLU2YAgo0y4Ah6BwCNr9lqSbKkddjz9mmGlHKMCfRZ98W/xR/tQgADxq5R42xBb/avQt7Iu6KcuP31EX/PFrCKkgTh5TsnnYkG/NdhhAUrZR5Eur79H3sKFdaqNiBuaqtsc+4dlOij5T6LV+Y/EG3Nk3KGMqSFrywzdY/Rb0qSPNNmBjmuzkUfMbpG/ZvddvLfqebihbVfpe+1V9JvmibCm/ZvlM6sryi55fsnwm+WMbKf68fpnjs6v6JQ7YPfzas1vpHOmsUsaeCzgv3U21ES+MDQ459XC0qZVTIVZ9raMxSIA3zRFyNOI5I62cCrUGAVYquIUN+KcztOhbR0B4TCElP4OkxXsxUJf15/Hm4Q/dchZcxfY8+pTdcnS8mD9pnLuDjWV7liOuQ9/DhkFG461YXkV+r19ykK3Rh145ENP6PWxS8xsefc8vePSpm5QTx98s3iCPR9/zCxZ9tG/5heLgNoWtx5vXLz36ns8sTly0AZTlEy2fRbuu45fYZ61+0SFapZYRNYeh/d1qw2u/brnHK9vXgmQOfYuGV58dSjPm1Ai/+G5OufWOJX9XtF0H/xzsPOy98qrYUG8eRt1F38PGKydfVeX32u+K8jp9oyvoa9jw7znYVfGJnm3lyFbH7or0U34xh/7e6hcedpZNeb6q2Gc6dcF5bsPNew0CDQINAg0CDQIHAgJNkDwQtNjI0CDQINAg0CDQLQi0FKfKnFpbSw+50+9UG3Xb3xfq5ywLVVma8WQr0q2qH4uGt6zk8efVLy6NVLUND3uv3LLdOnbtydaZ8lQvz8He499bmsrBpjvsrmzXVW2ju/gv2nV3yq/xn6P7Onbv2WYO/e7C3uMtt9xbdvX4b+GxADRUPIJR7qzY4GQavHUEhOnUqY1QMMO7BlPOwKKP91FXM1Sm84JHK50X7WjZrbxgWyvnpe4aDyjnZcwp+axUfg8bym8pnMcktAQKHu8oywdd8YiCdkSF2Gj7uR425J+ZlmV8iI2WPOEdP/Loe9jwiIEmHy/fTpXT9srHAYoy0iY13Vj0LWxAw+KN9s40fPbPMv4Wfa9faheTkwaPNmnHxsrHLMq8dTd9+pWUz/J4K+Kf6vO0e14Ennqnqs+kvWlHLDyfWdSP5hc9v2T5zJyYwWNzkEHDJsdnV/FL4I9H27SYgb+34OJePswCK/6tyDgvq9UuMqYD52XUZaEZsbX2PfowYnQ065Jp8KjxB/q8yDulEJ6z1PijA7fkZzZWqn3UB/1U+x42RUOx6CND0MoO1uTn3zXZaUx1sOEl2qlAyGMEWvuQGXJpsufoxsLGunwd2IM2MND4o94t24NtWpnT2uXvHjYeb+AffQe8WR8X0Oh7/RL08Y7WNgdG1iXS0B/oa4GK5al+5fkFjz76nuazirJbx3csv0T70bKnLfqeX+CkQ7M7Dxv6bM0vePQ9n5kTMyyfmeOzMUir6pdA24oZMeNeG/00f28QaBBoEGgQaBA42BFoguTBbgGN/A0CDQINAg0CKgJNkGyMo0GgQaBBoEGgQUBBoEOQ5DU9Glra5mjxfauNnPYtGl598FGnvte+J79X3+KvTl3i77Xh6cbqJTlte73Mo+/pzuPPK/far1NeR3bahUY/B3vPNuv0jbr0c+rX6Rs57VfVLetVre/p1ivPka2O3XcFfQ+bOvzlyF+Hfk6/aGFWIF7G5nPM5klckA1GmN2KzVotU40XIaeSM5gpZV1fZdFnBhLaLmeYFrNbwWcqA9XiDfJxE1qTn1jh3XL7+Bv5S6UUo5z4YjO9XN/Dhu1TqRp9/D3FP+ppGYzgh7wDOzzF9okNylK8e7yxkzDJIGXUVhYdbQ/4pWzPo89yDxtezVju1KQP2in5aXvMlktdwE7bsXSj0S/aTWd5o72wDatv1KHPBBfNLukPUuXMIKV9lN/x/JLlF6h7jT77Bd4r+yz8zeOt2O9TfsnzCxZ99kP6xJTui/3W8kkp3or9MiV/Dn3LZ7I/AEOr30K/2jGMHJ9d1S/xukPUt/rF285JEpgU4ATVO1eilbNN7QhFsTz1DttNtZ8KOmWjKtZPjW5y6Gv4lLGxZLT41+oVA5eFryWjV69Mo4iRhX0Ob0V8NOw1/jgo8WSzdOPxXx4YpGxHa7+os6p9w6Jf126LgxKPP69feLrrbL9N2Y7Wlz37rVru2U2xvIp8nalv2V0K+3IftXxeZ32S5Q/K/VnzaTk+1evXns169a1+W+67KYxbiqnDHAFrqdpIYUZkty6CRhtoUztryPIUM0x11+hzNqaVYyQM3jT+mKatTc85ktbaJ89aOS+Hty7BBjZWfet4Rw5964JzYp+SnzqzsIVOq2ID3jGiBB1tJgmD1eQHXerXchYWthY21hEG0OOo2MLHSmVH+5Qhxb9Fnx3ZOv6CkbqlG+rOOoZhHQ8BzxZ9yqcFUdC3+iXKNb/h+SXPLwA/j75F2+IN8nr0Pb9Qx2dCn5ZsHm/g3/OLls/2fCY/KGHp3rrg3OONH92o6pe8mIF+1akLzq1ZTnFk4Y1YNCdnjRis0Z43mirzpgXJHPqWg/bqF0dm2ojPa98r92aiKNeCVN22rfpF/VlB0rINjz+vvCo2XWl7nu1XxSa3b+4N+l6/KM42tCCboztPtirlHm85tpEjfx2fWcfuu6Jf7gnddJfPtnwyy5rsVs+zH0DlAwYMOICkaURpEGgQaBDofgSaINn9GO8xChhtYeli7ty58sADD8hVV10lQ4YMkXvvvVe+8Y1vxLKzzjpLbrzxRjMLeI8x3BBqEGgQaBDYxxHoECSxtq1NayEHyqxyvqPtR3r1Pfpau8TYa1/L4GL9uvRR3+LRou/xDh49+bGv8vjjj8u//Mu/yOrVq+Wyyy6LWWNPPfWUnHHGGXLppZcKZpMpHebIbtH3ePNsw6Pv4ePRz9GNZdt163u2Z8nnYePxltN369K3ltw8/qg7TYc58lt+1qNv6cbjLadf1qHv2b1X7vULr1/mtF8nZtTBhtjX8UuefHHisXHjxnb7Yqq1ZvC4jBaJO8U6ZePEBdlMBy+Xod3iherlco8+L1LGZmrqQTl41PgDbSYHperzImVNfqbxa5vEoI2NYC1xB3yDt9Rlvh424Jf0Bw8enAyYUCjoX3/99fLMM89EOuAJgRN08e/HP/5xOeaYY+LfyQfqbdiwIaZpa9gxjVu7iNjDBvxv2rQpBm1t3027fBt1oTvoV+PPo4+2oRft/k2LN9DnBdWW/LAty/Z4hCRle3Ww8Xgj/6BRRX6vX5K+1i95wbmVvAFcYYMph+fR9/yCR9/yWaBt8QZsc+hbfqGOz4ROrX7r8ca+pflFzy95PpN+RusXns/M8dnW5fGeXwA+oKHxB3xb3nzzzfY+C0Diha7BmaQeNASGinXK79ERaKMLMGVd9GvR53karaOvX78+BhIIlno83tA+M9G0IIq/a/TRvjUygjIWL16s4mthA7rABrhCxvvuu08WLVrUzubQoUPlwgsvlOOOO04WLlwojz32WJQFRnjxxRfLUUcdFWn/0z/9k/z2b/92vIx67dq1kV/IgzLwB92CRnmgUBcbOhPYlhYkLd2DN/LXHbrxsPfkX7duXXsGrGZ7lm3U7ReW3YIf9N1ly5bJmjVrkn2jLn3Yi9YvaLfaiJ+OGHZbxTY8v+DRt/yCxxvA9Oh7fsHzS5ZuOGnRfLLHGwdQ2hlZ9ltrgGPZHgY+5KFKv/Cw8folB7WabYI/DoJS/AH7lhkzZnQog1PVUr2XLl0aR3tTp05NdjT80aqPcgQw7cZ2rz4P9moKe+211+Ie3MiRI5P8ebyhQ8DoNPk5UrY+d4QyzRk8//zzMm3aNDVV38OGnQ08IsgNHDiwXU5gSr45Wwde+PsNN9wQA/OsWbPktttuizqCDseNG9ehfmtrq5TtgS8AGxiMNov2sKmr+1WrVsny5ctV/jz6PLqkDd487NEZrWMW8+fPj9gUMS0aITBHeVX6lu16vIGPl156SSZOnCjQcerx5Pfow9a0fgm74WBMcxzPPfecHHbYYZX8iucXPPqeX/B48+jzMgDNL3j0Ld1gYrBgwQK1X3i8eT7X67eez8RAHv1m0qRJSd3WxaauX3rllVdivBg2bFiSPwwuO0wZAai2nFQcMamWHArYRipyQyCeeUq14dH3FJ7TPuhrxppDH3xbNwZZ+xucqadk93hHHfKHAHnFFVe8rRnelsMZJHSwcuVK+da3vhVlxj4lgvT06dPfVhdtW/tKdbGh/Wj4c1lLsy1rNEpsPN0AA+tTVdpScBF7jT9Pf8SvCn0PG0834Nnjj/imgrjXPsu1IEnbsmaa7Bvap7Isv+T5hRz6eEejbfFG2wB+lvyWX6jjM3P6hcVbkf+UX/TsxrMNzvS0fuPN8qnb7vLZnnxxlmwFvKZs/0KAM83x48fLBz/4QcESLAIqZpJ33nlnHKlfcsklaqDYv6RtuG0QaBBoEOh+BJog2f0Y71EKGBkhgxUzRj4TJkyQD3zgA3uUj4ZYg0CDQIPAgYBA8xWQghZz0oEtpXv1UVfbk6pTlzx5bWB9Xfv6vJXGTb69VG+vQ1j8ebzn8FdHNzn06/BQp/06dYuYePqrapt1+SPdvUnfom3129y+0Z3Y17F7j/+u0G1V2T3ecstz/JL2DnhvwaYxn+JeVnl/Ci9jkxVrxEwrTjXM9rT1bab8puqibe1LAKTPVOUyf6DH+mgjtb9m8Yb2eaO99qWLIlYpfJjunNonQPvEF7yW6+N3CxvUz6HPTLOU/NZXQNA26jJlulif2DABQpOdOtX2NpmKn+o0lD9lN57tdQU2Fm9oH7JzOVuzPX5NoLzvTv5QT/sKiEW/aDflfuPxRkfCNpDcpfUN7TxiDn3uLWm2QZtPlXPfifZffifHL2l+gdhr9IGP5hdQ1+PN80ukz3Y665csv8C22W81n61hQ1uq6rM9nwnM2W9SMaMuNnX9Um7MaCk6JYDMjlJ2ZPi9WKZtpPIdLUhaafAWfXZ2iz/ymApCqE/aGu9lGcsOifW00RXb18qt9im7xhv5t0ZPRWxSgUjTTZkv/J7qcBr2ObzxHdIqY8uEHi1IElOtfo5uim2kdKsFiVzbY/spGXJ0Y9G3+o1nt7QFtpFy1EXbLWPj2aZHP6dfFHVTtl3PL+To3rNdza7KfGn9qjv6Jdq0sC/yrPk8TzeeX6yj+zJ2dfpFd/jsYn+1YkZLMSOLMygtS4vHG7QMPQDONHlNKJRr7Xv00b6VqQWa1o3y5C1l6EVHb53jxHtWFptFH3Str5RY2LDDePStL11Y8nu39dPJVMWGfGvHIJhlprWPv1O/ZSfeFdigfetLAhy1avyBN+8iCesrIBZ9DxuPN9o2aGh916Lv9UvQx0zJ+8qH1e/RBr9oUdavR9/zCxyAafQtn1X8yoU1gPWyW3P8UhWf6fULD5uiz9b8ouWXyLMVM7iCkuq3sJscbCyfTb9axS94MSP2mWLDEEZbKis6ohQz/JvVRk77Hn2r3OOR9DXAc/irKnsRH02ZdWSj7Dn4peTPoe21bWFT5E+jX6f9ruAfbVS1jVzZtfcs28yxS0/+On2jLv2c+hZ/OfU926laznpV63emX1bxC57ePey6ol962NTxmd3ts3P6RZPd6nm3prxBoEGgQaBB4KBFoAmSB63qG8EbBBoEGgQaBDwEmiDpIdSUNwg0CDQINAgctAi0FC8D5/EOLYMLxwOwicvjAinUeGu7di0dU91TdS36eJ9HO1Jr4NiA5REOjT/whrrWBjna0PaleDxCu1oPdFFf+xoC5NO+ggK+LGwoP/7V6KNt0NaSMzT5oSvqDfYA+csYW3Ll8IZ3rFRzpvlrtkdsNd16uvGwQbvMdkvZpnXsibZHGVP64fEgTTcWfQsb0LR4Qzn4g+2BBm2gLKNF3+uXpK/tTdGutavleLWZ9pWS7qZPm7KuxLO+oJIjP49CdKXPhL3Srqx+4e1LWn7R80v0C1bMoO2l+gVoA3fNZ+b6bC2CW34hJ2YA1xZcW8aHZ52KfysSR6aPdckzHTjOYll3t2rte/QhFIDW6sMBWVl6rGsFSV4engKdhqBdgA6DIg+p+sAEdVP8o64lG9rLoW9lMGryo13wBVw0bKF3dHSt3OMN/EO/qJ/Cnx1Iax+Zj8BWy0D16ANfCxvypg2Q2JHr2B5l0AaIaDtF38PG4w308A7oa7Zrye/1S7TN+pqzgs413fHeVMivBSrgomHv+QUOFDT6wFfzWR5vbNvqu55fsOh7foFnSzXZcrCx/KJHnxMTq99aMSMHG81nAPu6fsmLGXHSUeyUxXMtVpDQHAkduTUizynT2vf4K9LX+K9LvxisyjS6ij/N0RCXqvhY/HVF2xY2nm142OXwV0c3OfQt26HOuks3dey2yFsV/upik1Pf6rs59evgk9svqmDn2X1nyqv4ZA+7rqC/t/pFLu+5fknDt9mT1CJS8/cGgQaBBoEGgYMegSZIHvQm0ADQINAg0CDQIKAh0KkLznNgzFn2sJYTc5Zyc/jQps512rfqWstFRV68JRtLtrr0Pd14tD3sPL149Ou0353Y5Oq2Ln5VbSNnuavukpOnm7rlFn+efN1Z7i3z59hGHf5y6taxO4//HPpe36vDX136dXgjNi3FrCJsUmtZjCDGS3rxr5bJZn0FHHW87E+rnFlkqc198IcNaGbKpfhDfdT1slu1TCt+1Niq790+gTZSGY4eNlCYR5/llm5S8gM71CUPKaPmBrmWnenxhjbZhpa4gzZS11uBP9SlfjXdgoamGw8b8qZ1KtRn/yjjQ9uz+GPWtKYbiz7a1bChXWi8saN79mXRt/xCkb72UWX6BA1b+hP2zzK+OfSBUVX6kJ3XCqZoAzuNN8pv0Uf7ll+o4zPZtuaTLZ9JWS2/mGM3dWIG/Y4WSHN8tuZTPZ+ZEzNi4k4xIFhBhllSfEc7hmAFKQBudWbWTSncC9I5/JF2ypGyfY1/lgN4iz866nKnQH3Kn6rvYZNLn3espjolZSvrjtmJ5AEyFOvXxYYdQKNPeppt8AgD+Svz31XYaMd/PPk922N9Tzcaffa51ODN44326A0giX0qkNWhT/6ou1S/YH/Av2Xbw+8W755f8OizP1t9WusXHIBYk4eibUL/Vr9MlVl+oSy71i+swRvl50ChHKxy6Gs+M7dfQA4LG403z/Y9v0CaVkyDbB2OgOBlNKyliSPNGFHbuggaoPI4QWp0gHItXRj0wbhGn6Br5TwioPFH2tqIlhe4a+2zntW+dVkvj1hYR0g0bNgh8a9F37rg3JKfadYWtjzCktKrhw2dnXbMgQ5Ck58p+t4RkKrYwPbwrU3t4TELCx/v+JF1wblFH9gAXw0bjzfIRN1p/Fv06Rcs+nAmWtsM1N4F6NbxIMsveX7Bo2/5LPok6xiCRx/tW36hjs/kpwW9IyCWbjy/aPlsz2eCr5wjINoKlccb6tXxSzwaZR1Pai44L3hFKMRaFrHKOALOeUcbPFSty/Zy+KfDTY0Y1Qixe2ZZB5siPqlBSg7vHn9euce/hk1d3ebUp/xVsfFsJzVDK+LVnfRzdavJkFM/R7eafVjts93uat+zjRzZ69h9V/TLPYGNNrGpi09Ov2iyWy0La8oaBBoEGgQaBA5qBJogeVCrvxG+QaBBoEGgQcBCoFNHQLQpb5EA3tHes8rQRt1ytqEJXLd9T36vfYu/OnUpr9eGpxvLUHLa9rqaR9/CNwf7uvx79D0euot+DvY5vFWVry79nPp1+kZO+3Vk3xN+pY7PrGN3nt/tCmzr8Nfd9HN021K8cBub79gITikMf+Ml03hHy271LjhHuZamb9GHMDkXnINH/KTWyXMuy0VikmawOZdoWxv0wMy64NzChvLjXwv7mLIcNrNTT84F53gH8pfxs47m5PCGdyi7dgSEl2yXeaft0T5S8ufoxsPG6pA8ApLClRclo77WNyB7zJQzdKPRh7waNuDH4o1OALTBAxIUtL6h0ff6Zc4F38xQTuHH7FDrgnPNL1F+YKTtjXkXrFs+y+Mthz4v8dYSl6r6TOiLdqX5PMtnUhfeBeeWX7KODkHnoG/12xxsoFfv2J4WiL0LzsGbFzNaiopjlpamTGYy4V/NIHmeS7vg3Drv5dEHTXQG7Swd6ltBirQ1wBkcrCw8KEMrpxPWytG+dgE6ZLOwKQZHi751ibcmP/nCvxbvluwMXFp91KXsWpCEwVa1PY8+dGNhQ968GYdle7S/VN8g9lqQtOgzRd3C1tIdsPf6hkXf65do39IdytCGxj+PxmiZ2R59yy+QN4u+5bM83tC+R9/zC3V8ZtEnpwKFxxuDPLBP9UvPL1k+E2WIA2hDixm52Fg+u6pfAn85/aKlGMxQCUxrh3LRIH+0yI26VFzqHZRr7Xv00S46nMefVk7eLEdotc92rfY9+axyqwxY5tBnSrSGPcpT8qNtGrWmW+vAtMcb+dfow64s+emstM7i0afuPdvQZGcWnWd7Fn85uknR97DxeONs0rM9LYB7/ZKDAgtbypCSjzNYzW949D3bRblF3/JZHm+0a6vv5NqeZTsWthZtz2d6/ZLlGn0OQrq7X1g+u45fYqA0/ULRaHPSyDUnktOO137d8lzeNMA9+jntV32nq2hbxmQZusd3V/GHdlI8dlX7lhweDY03zhY8jLzyqvRz6nm0c8qr6sbjz6PN+lo7ddv36Fv69XjLaTvHfrpL9lzs9pbuc7HZmz67yW7NtfL94D3sN2GNf82aNfHg+bBhw9q5Xr16ddwfGD169H4gScNig0CDQIPAvoFAEyT3DT10CRcrV66Ub33rW/L888/HZfObbrpJzjzzTHn00Ufly1/+clzOvOGGG+Tcc8/tEnpNIw0CDQINAgc6Ah2CJNfONaG5tm+BYu27eHteHn20rWV2gidr3wHl1l4py632tT0b4mElDeEdJsik8POwIX8W9thPvfLKK+Wzn/2sPPHEE/Kd73xHRo4cKbfffrt86lOfktbWVvnc5z4nM2fOlLFjx3ZoStsrLMpmLd142KAdy364gV7V9jz6nm64r6XR99r39urr0Pew8Xij7VnL7Zb8Of3SWub3+l3OnqIlo+cXPPreXrHXN3Poe/xruvFo59it5dM8v+jR92Sv2y9ydFfHL3kxI9r+4sWL2/0CwLTu2cMyHpbsinXKTgXlmmAQBuXW/ZEWfd54r2XJrV+/vv1LEylnB9qoq3VoT35eMK0ZPO9R1AweS6GLFi1K3r3qYQN5KD+WTFMYFgPfggUL4nIrMEGK86RJk+IgYsiQIYKyAQMGyIYNGyIW+Dv4An+abutiA/7BB5aEtT1J615gyIEfjb8c3VgdzuINvPMSZ+2Ox7Vr18ZBgGZbVr+oi43HG9rH8YqlS5eq99Na8nu65zEJrV/yWJXWb3g0auHChckMS4++5xc8+pZuPN6K/VKT3/MLdXwm9Iofq1/At1iZ0ZZf9PySpxts8+Adjb8cbLrTZ8On4NGO5qFftPDmfbzIVPPi34rBhmeRtHI6E6YFpwIVaVhlVemjbat9pqJbQZIOJ8Uf+bLqWzM9GFyO/Fob5B+G981vflPmzJnT/ioC5yc+8QkZNWqU/OQnP5FHHnlEPvOZz8i6devaP7HFGQX+BS+8XR//z68g4N+U/nKwLbZv6VcLkhb2nu3l6IYyarxZI24GAs02mWGqlWu4khfim+KN+rHatuyK+vZsT5Pf8wtF29Gwhc5z+nVqVuDR92wD5RZ9SzfFtrUZSw59yy/k2EYOdhr2tB/Pr3h+sYrPzvF5HjbMbLf6rdU3LL/k8Yd2WyZMmNCBNiK7NlrG3zH7KNcpNmDVx3uIzNaN9FZ9OhJtRIq2MVMaMWJEEnePN1Sy3qEitJkiv2umGRuCG7DTRnUeNuxM4PO6666LI0g+0A2+YvGVr3wlBuI//dM/jTN6/B14L1myJC63rlq1SsaPHx9xwg8f8Iz6lm6tc5weNnV1D+yWL1+u8ufR986gethzUKHpDvSBdXkZm/h6tufRt+p7vIEHjJjHjRsXVxBST1360ZkoFyVwMKYdcQA/WKXCaof21PELHn1PNx5vnl/y/IJH39LNxo0b42BX67ceb57Pq9tv4Sshv8ZfXWzAXx2/BB+KLamhQ4cmTQ8zzA57kjB0a7mTo2kr8vOcZSqQsDNrQdKjj7ahdGvZxprl8uCq1ll5q4w2SOCSnhYkWa45UsuZedgAc7YP/KZMmfI2NWD2iCB59NFHywsvvCAzZsyQj3/843LRRRfJ3/7t38alLARXBMnywyUrTbfExrrIAHWtfS8e6E/h7y3beLaXoxtrT5h2rw1wPPm9mRwdtRVItKVoDxuPN+iFbVj61ejn9MucIGl9joiznZT95NC3/AKxt/q1doa0OEu2+r1HH7hbfUej7/kF+kRLrxZv9CvWFhloaD7b85m5/da7oMXz2VX9Uk6/bbJbrYi/n5Udc8wxcvPNN8fZPowTswYYNzJcDz300Pi3iRMn7mdSNew2CDQINAjsPQSaILn3sO9yyhhtjRkzJtkultq4d2JlInY5U02DDQINAg0C+zEC/3+GE8GwHtfXwwAAAABJRU5ErkJggg==)
Now, given mixture(x) = 28
From the graph, (pt. E)- the corresponding quantity of milk(y) = 20
Question 29.In countries like USA and Canada temperature is measured in Fahrenheit where as in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius ![](data:image/png;base64,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)
(i) Draw the graph of the above linear equation having Celsius on x-axis and Fahrenheit on Y-axis.
(ii) If the temperature is 30°C, what is the temperature in Fahrenheit?
(iii) If the temperature is 95°F, what is the temperature in Celsius?
(iv) Is there a temperature that has numerically the same value in both Fahrenheit and Celsius? If yes find it?
Answer:(i) For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAccAAADYCAIAAAARab8fAAAAAXNSR0IArs4c6QAAK0pJREFUeF7tndvrVsf1/7/53nuquQoiogYqCoIaLaIBBQ8VKQQVoxERIhq9CFgapR4uRFO0US9KPVQiiEhUtFgkilpQUBFPEaWRXMQWEfFK4yF/QH6vbxe/cdz7OezD7MOzn/e++LA/+5lZs+Y9a79nZs2aPe/88ssv/6NLCAgBISAEAiHwv4HkSIwQEAJCQAj8HwLvuLHqO++8I0iEgBAQAkIgGwJvuNRn1UZ6A+gtGlmvbA2vXA4BGYZvDEIj56vhAygPQE4wlV0ICAEh8BYCYlUZhBAQAkIgJAJi1ZBoSpYQEAJCQKwqGxACVSKwdu1aXHJcx48fr1KPXii7V1ASq/aCNdVAx/v373/wwQeY9ejRo7lPotHcuXOvXbvWMuV//vMf2OTPf/6z/ytiecjlHkI0v/rv1VTGAZ/9+/f/+9//ZkH1448/ToJqk9JgS9ajcGEtQaqGHN+EgshMK0SsmhaxPk2/YMGClStX8vL/5S9/4T4PCrDnqVOnfvrpJ18I/IL8bdu27du3z54b8/7444+XL19esmTJ8+fP8xRaz7xPnjwZNWrUyJEj66leCVrt3LkTo7Iona7E2it9TzWsCnyuj+LlKaHxVEROBCDBQYMGIeTXv/41YyuTtmnTJgaSNGWq0cH48ePXr18/YcIEX6UVK1Z8/fXXP/zwg7OHf/7zn5MnTx46dCjpJ02axE85q1C37HQk9BaAaTOAuqlXsj4YwIULF1yhjh9803IeAKCze5fMMjL7QQjDf3techVccRWwKpT68OFD66COHTt269atqiqvcpMjwBDSPIAbN260XNj0iRMnGEtevXrV7xrN4rmw7+nTpyeZ3DF6hVwYq27fvp2x27lz55D/6tUrpx7cmlzVXkk5bdo0RmrUlxeBN6JX1C5BT/qYNWvWGEVcvHixXZ99+PBhSwOGlobees6cOS5vCaq2LKJsVuX142UDDtMGX1IfupOqauw85dJMDFex4OXLlzNyRNTjx49XrVoF38EO58+fd8L512wd+4ZwufF/banDzz//jMzbt2+Tko4WJwPJbGhsVyOn/3mao3l5N2/eDBtSL3plutg//OEPVkc6WsaeLevrnEWzZ8+u1ZS3bFY1dN57773mmUXlNWLwaO7/yCpQQMWw+GXLlm3dutVY7+DBg/AdV4bVpLt377rR6JgxY+7cuWOLYP/617/Mz/ib3/yGeQxvi41kSROwIhJVEwQ2bNhgMxuY0VgSXzN/na952LBh/Fsr0uwKXTWs+vTp066aNS9BoXEh8B2ToJs3bx44cKAg6Biurlu37ujRo/PmzaOIhQsXQuLvvvvulClTUlGeuQjwHvzpT38y5xcDXoaoM2bM4N/vvvuONSse4k5l8MLkjue8b410AhTUUj0k1q1WuYFnhEYjJNsbVbPJmq3BuftCb5gYcjm/Kq9TocUVUS9kOmvwAexcF3IVV1ncnQ7VQvFsjPAiDCMtOM6vmjZj8PSVoEGXGX+PzE/qfKP+vXuD8CxxbxFpXCR2xu/fB0epg0AfwArGquZls2E/a6Cs8/ZG/+NpiSkw+fXVZgpM81foI2aI13MwSmEh0BIB1u7cOr7zDCTEijEvKzfVxgC8GZ9W0lmV0JkUUS8LLbKlGLvoKl2vC706C/DHj66nZcTqa+WvWpool93Hh4euA4/g5tblWw6iXWLr4dtdfnVKaJfKiyjCMCqvVGYFhEZm6CxjxWPVhH1OnZPhSof7vvnmG1PSAhvwM9q/Lm4M8uV5qrUjCxBx85qucdFW4pdffun8KgSXtIPOrc63NCB+rTPm0k0I9AoCFXgAegWaznoStOwCPtgpBKnFd8gY+T569ChhlWFnZBJiYumXLl0KKbvVT6jQefQTCgyVzMVaV3sTqjqSIwQKRUCsmhFec6FaRBE+VkjWCXJh8BYJn7YAi5zn4iZt3s7pfcXi/Nhuz74bO+ecIuXPHhYNSRMCBSEgVs0OLF5OtjNY0LJbp4JnYUPno/SdpAlLciubRkMBN4nLA5CwCZRMCORBQKyaHT2bobP3w/aE+JfzUbYcq1pEno0N+evSmMfA35/n+1UZXababp+9YsopBIRADgTEqtnBgzpZ7ocToVcnhUErzOjm1y3HqmSEiG2mDyn7aQg7g1td9oTKMUBGDS7RbkLElEwIFIfAW2esWnxAwy4YqpH1algzlV8dGYaPudDIaYE+gBqr5gRT2bsg4C+RJQwUE6ZCoKcREKv2dPP1hvJuf0TXj1f1Rn2kpRDoiIBYVQYiBISAEAiJgFg1JJqS1RKBHTt24HVq8PFTanch8JaT2q3kNNVd3dR69ZAdsz2MwAa+8M+3WSPHVVVYCxmGVqsCmp9WqwKCKVFdEOAzCJxAJZiEQP8gIA9A/7R1NTUdPnz4H//4R3ryzz///MyZM9UooVKFQIkIKF61RLBVVJ0QkAdAHoCA9igPQEAwJUoICAEh8BYC8gDIIISAEBACIREQq4ZEU7KEgBAQAmJV2YAQEAJCICQCb61WhRQsWUJACAiBfkLgTey/dgH0U7urrm8QUAyAYgACvg+KAQgIpkQJASEgBBQDIBsQAkJACBSGgFarCoNWgoWAEOhLBMSqvdfsz58/5xwX+woUu+wjFeCJe7hp0yb/Y1Fk5AgWvnISvM4c8TJ69Oj4Ka08QVX0dCXev3+flGjFF6zRJ7gmVQl0H+fWl7nzNAH2iW2409rziCKvmVlOIVmyu/OEyZz/bOEkEviGsVPUnUWaJGO2NKXVK5t6GXJxzhXHXpHx3r171M7HkOfHjh0zmdxwrNazZ8/Onj1LMnd0q5+mc+m0VJIGQqAVEUmMApMmTeInvxRUOnDgAFq5WmRAIEiWsIZBvdzHuXOq559jZg3tLkpx707kLN6chYZFo6tdUVykamTBfiJqJOEKzCxOfA4cwAzVLp0r5Wv+hknLgdUgsDr79zltokP2cupVnP5xyT5FLl682BkNePqW6v8Eu8FlJgpGM7btqnNCVjU5EValieOlWDdg6WHbIUOGdNWhuARhDSPeqWTTHNwgApcXsa59aVz3k9FNtiJa5gorrbNiGIb1HJFkPHRjggg/JOcKG0w4yXGmDgiaL8qvTtkegCtXrmAcdsY9c0Pqf+vWrSxj7P7OM2jQIANgwoQJly5dsvvDhw/Pnz/fAXPx4sWpU6fav0OHDn316pW7nz179qlTpwqFcNeuXZTC/Muf7N+4ccMNxAYOHPjixYtCdShNOD4NyrJDc+NukFRq8Gr459Dwsjx69MgkfPjhh+4na9lQM+VUGuZMDD70HFYRHEdOGnXhkGA4wT3JxhVLlizh3GInhPOMMTm/oJz6J8leNqvyqo8YMcJphjmCXRJFlcYhwBDv0KFD9lLdvXt34sSJ9hNGOWXKFJesA2eNHz/+8uXLhUJqDX379m0GxfhPt2zZQnGO2QstunzhVJZCzQHCaxxRgFfaHUXu33TlX9p3//797n3xGefJkyeUYqOT3rq++eYbugp05i/jAKc8oyt77q4MXMGKAhzqA4W0mTNnlkwyZbNqb1lAPbU9evSonVmyceNGun0+YOr0ZEzqk+/r169bVmHs2LEvX75sVzv35m/YsMHGXxm8/ihm4ylUWrRokY2qGGI3aYUqoXnwkrecdcb51wkELjBnJgfRrF+/PlIQvzIia+lPTKhShcnoJ5YuXYoC/GUc4Ibbjx8/9sdbGTREFBa7efPmSF7ssORBvVg1Q/NVnGXevHmcU8KLunfvXshr1qxZLRWaPHny999/bz/BZT75dq6AowDfr5r2eFQYwcZT/gWb37lzx57A+P7aS8WY1qx4BqHWCtABy+K+djwBNyg1MiKrWQ1aq8OwHeWtO+Ev984T5RwdmSuC04mBaoe+KrPktBnLZlV8bT58Dx8+xFuUVmmlBwFClPBa7tu3z58G+iPBjz766ODBgzwhZYR8Hzx4MHjw4IAwxkegNPTu3bt5znXy5ElmYfYi4b7429/+xv2RI0dWrVoVUIfaisrsAaBG4GbuBbtwGsBEuBp6kVLRnyk/pugmQ9xjola1+EA1FVeYt4TXoRZm4K82FrQ65otVDEAQkFnfjwct0VFHwpjMUWVDG79cnruQgA76JIwBwBFho04Y0y1S405FSXtIAn9N1hLza5I4hCBwFb3qDTtQoyRRaF2rQ0v5kUDmBLBcwdf92y1hd1UyWwJDyQ8I83GLRLB0jgEwGvGtukOgHrjFo7iyVaFDLvR5w6Uls6ozDutSghhiZ4D82gaHslYCMTKoqqtKBUVWdS23bgkCGkZAVgUlf7Tl00HcYRIwEjMgGu0a2o8Mc2lgQ+uJDcNI3nbxqhFRlqxdAG8kYKsgO6yYVQuqVTuxJZhL5xpZxDtq+HGIBYGQJMI/SZqC1KuV2MoNQ2hEEEhOf+YGSQJgX8Sr1sLrUa4Se/bsIfgJbi2hWPxKrKWa4zJ+2Y5VYlp71CtXAoAqokIEWL4ntqGrAhaRlnBVithVf8DbVXiQBDpjNQiMnYSwpoS5JDSCwrVRAf8fAX1f1beFmqBBr8+iE3P5IKG4VIrxb9rwlWyviA+gWDUbhklzsf7rut+Iy8xE0PESExoXRwcbD1RMWqrSJUCgJjySQNMykgiNnCiLVXMCmC67xqrp8CortXikhmPVsho/fDk6CyA8pqVJbLn3sacflgadChIC5SBQ9i6AcmrVQ6W473JGmDH+4VSrVJJ1z95K00ONJVWFQBIExKpJUMqbpt1+fOSyitWSBOVUzQu68guBihAQqxYLPKtVfEJi2bJlbBsttqQCpKNzuyFzAaVJpBBoCAKKAWhIQ4aqRiQmgS2wfMwllPBaydFqld8cQiOncWq1KieADc/u7wFrKqU2vAlVvUoRkAegUvhVuBAQAo1DQKzauCbNV6EBAwbwVXZORWVGwxGt+YQptxDoRwTEqv3Y6h3qzOErfBKbi12DJ06caPdJAaEmBIRAOwTEqrKN1giwEZuvSp8+fVoACQEhkAoBsWoquJRYCAgBIdAFAbGqTOQtBAhQNXcqR1Zw+sWKFSsEkBAQAqkQEKumgqv5iceNG4c7laUqTnDBA6AvsTa/yVXD0AhoF0BoRCWvRxBQ3LvfUEIjp9lqF0BOAJVdCAgBIdAWAXkAZBxCQAgIgZAIiFVDoilZQkAICAGxqmxACAgBIRASAbFqSDQlSwgIASEgVpUNCAEhIARCIiBWDYmmZAkBISAExKqyASEgBIRASATEqiHRlCwhIASEgFhVNiAEhIAQCImAWDUkmpIlBISAEHjrOwCCQwgIASEgBLIhwBH0llFfV8kGoHL1PAL6nojfhEIjp0Hr6yo5AVR2ISAEhEBbBORXlXEIASEgBEIiUDarPn/+nK/Nc4RnvBLHjx//4IMP/M8k81F6xtUk5qeQle4PWdeuXZs7dy5oR6rLc0D2m+D+/fujR48GatLTQP0Bj2pZawTaEYU9x1z9cyrrRhSlsipv7549ewYNGvTixYtIk65du/Yf//jH119/7QiUGz5K/+zZs6NHjy5ZsoQDP2ptBTVTDst78uRJnCJBdd26dcuXL+cUVafyggULvvjiC6DmyZYtW2pWlZ5Uhy7Krp7Uvmql2xEF9kzHj3YXL15cvXq1qVlHomDdyi70c/eF3ly9ejVS1rFjxxYvXhwplCc7d+60h5z2ceDAgWxalVavbOoVmmvOnDkOQwriMOpRo0bBnn6h9+7dcxCdPXt2yJAhhapUH+HFGcaaNWtAPlRNaTKjD25CyYzLKQ6NzDrHiQJg4zwQiigy6xnnz1LHqu26wM2bN2MxNgm1o+isO5o6dardDx069NWrV1X3oD1f/q5du2bPnk1v70/2b9y4AQVY3QYOHBifRvR8tUuvAPOqmTNnBimWxuK9sPeWGxup9ecFqgxLHz9+jPPK9wrWkCiqZ1XAYgz129/+9uHDh4yb9u/fb04Avd7BXx7sb8SIEbdv32a4ymTKJvvqrsLijC/rwoULGzZsoOuKO7XTloUoxhyWixv+TSuhMelv3boFmX766ac4r/bt2+e8gjUkiupZ9enTpzT8tGnT+Dt+/PjJkyfTHXHPVPT169eNsYk6VITey4b/jP0XLVpkrmrc3FqhCtg6vPBMvMzxsn79+ohkMHcuV/+mJf+yrkj29957z4TYjT3swwtaYLQ+cuRI6m5r2kYdNSSK6lnVbCW+GAW9fv/992Y9vPbDhw/vQ0sKW2XedpawIjLHjh17584de0g35rx4YYuWNEMAUmjpv4vzrxCLIAADMJ2Nw1JDoqiAVSMjUOyMNxmXH3ix9sc438ZTH3300cGDB+FTHjLImjVrluwsLQKRQShO1d27d/OQ6+TJk+b7Y5ZAb29xKkeOHFm1alXaUpReCBSBQIQoYE94wNyD/MVox4wZU1OicD0n+uVcBUuSnYUR4KAsmHTjxo2WBXcqq/z2kHgAJ4clv/jDJKX4acqpV1qtWqan7jZUBCUwiazUg0bkYYdCEWWQ+tJwp7JgyhOawIGPEBZbrVx+tQgBggEoLhItkL+OvBUt18cpiCkzOrgVXp7YGhoPk9c6lYbFGYbzAMT1AYGWBOSHakSsl9axJ/E18VT17Zy4ODSyKdmSKNwLgm37VhGEKLLp2ZI/3zBp3WDNWcmSe4v82vLOQHZmK7CbH5rDQ/4NznGddU5VaJJAIpga7oizKvXiJeEnGMfvUC3YDvYvKKKoOIPvwKpp7QRgHbb+fVo5XdMXh0bXopuRwAdQrFqXNjXGMW38GFL+5S31Gac0jVGp3RgqokMSVrUsCIwkbhmESAdjYzTbm1DEcLU4HgnIqtb6NrwtqHexdsmJho0W3eUmPc5OkttSoeaNIbnpYNhpmQ9gBX7VljMgPbSJueFALAR/bbWXvzy3pc+Sr4ULF+7YsaPQQlsGIeJJJ1zGwkIIV+Dvzz//XKgaYYWzqBJw9QlpRjQt12rCap5ZGpEP5LWOkBEA65+HDh1y0og2Y60pICaZ9YxvI5w3bx7btD755JOAkTBi1cwNFDgjEU7s0LVYiHPnzvHXnPHXr19nlSlwYcnEGZXDccmSZ0nVMgixtzg0S7UbnQezIQTKVdHWl/zve1RVe1v3hkPpqj///HO3OZ5BDCu3fjeQU0Oxak4Ag2WnsbFF22P27bffMj61YRoXhOuKYejaNeCxZYJUD11xLLy24zhCLJ1MotPdfaqAypZBiAMGDECBgGOHYI0kQQkQwAAYVjPRsbSHDx+eP39+gnyFJ+mwjTDstEysWnhbJi/g/PnzNtFjB1S7vp15cUvHkz+9yu+ZSqIzJbqCfFepzdwTXi2DEM0B8sMPPzhudZHwCcUqWSUITJ8+nc6Vv9u3b3c+K3rcKVOmVKJPpNAO2wjDTsuCsartLo9ffsVSDZe6SqtDOwXXgQEaoaMEk27bts0JD7WpFOGQtX1cMeFmSmboNnIMdUXq0i4IkeWOv/71rxR66tQpKLsSt3KoKvePHPOr8pfNtebFssvNurjvShTFsUTnbYQdpmWpW9ANN8iZf4xTQwk9VC8WKJn4RwJFsVECj4IACz1ZmIHFGLhAyHbCcUIl/IRVkhgAC9UyA6VGLjC5ZRAiRVviSGRiEByCrHoH1KQOovK/Jr5F0XbuK3T5JYfCxw/4Jc4vElOBzl3fiA6a+NVUZFWoJitQTqhIeBreRWj5309rp3ryaJgkrFogQJlE1+dtz6R+4Ez50XCsatFLbkMHz0sOtXbQwJIRy2SUYIrF7d9Fi2dD1gcwmAcg9SBZGRIj8Pe//51vIAVZvXELXxMmTLh06VIHFVgwJQGfCEqiJh7hJMmUpqkIEDtF1cyvOmPGDKJW3GoVvHbz5s1KKs5XLwYPHuwXfebMma+++sq+Ju7btsXemEM/wFUHD4C/Y5WReba+ol2u/J1wWH2ySQMiJu859wLQG1tUP3Loq/1NqxGtCtqxmq3uBeVqhmGEAqc4NFp+kz6b2h22dLcUiIUnHCYnn5Yl4ZnqPQBUm7fdvGwMzrlPCETChinOXBIqUJ9k9ql/AIFS8xyvUJ8a5dFEhuGjVygaDAj873tka7UOW7qzCXS5Um3O7g1WtU97OF3dVsWcSJUwBsdQjKTyOLlDVTOVHOvJco58U5VYw8SF8kgN69tZpaLRYDCY+ZAk07zDlu48aIealtXOr+p2aqIZ8Q3sJgrg2ihYBF5Ovkb+448/MssouKjA4nGYEt3CFkOFKwVGVuLaI0B0szu/LzNOLbd0Z5ZmGdmxyrvgx37lFEj26lerCIdk17BtyOGFJwZ+3Lhx+StWtARi1HHD0xhffvllqrj3ohXrLJ941ZUrV27durUOOwirhUKl9xYC7bZ017EWJcyUu47PGdsDjX30k5uwHygqaGrjviTU7qtOLjYz0upd0VCCchAoyDDKUT54KT2BhvvkLo7ahJHUwYFK4ld9h0T22hNt4O6ron9GrCtWrAj7bZ6C6oWqbMtTRFFVppK/3IIMI79ilUjoLTTYGfjo0SP7UFZNLh/A6j0ADhS2uEGpxGbWBKaS1ci/Ua/xEkpuERVXQwRabumum551YVV2pnNoEpQaLBC3aqS77neWZyDt7KzqJlX5FSPAusv777/PX+aIYdeXwlasXh6AsHUr1LOBB2DdunW3b98uQmfJLAGB3przFg2I0MiJcE09ADlrVXJ2nBWELthGvaZeDAoSftqqqQioXkIgAwIaq2YArclZGIOzm9vVkBhpAvoaWWGNzvxmFRo5jVxj1ZwANjy7/5mfplJqw5tQ1asUgbqsVlUKggoXAkJACARDQKwaDMpmCGKrm53Qx4xm06ZNzaiUaiEEykRArFom2j1QFpFtP/334tsrnPnKcS89oLRUFAJ1QkCsWqfWqJMufHtl1apVp0+frpNS0kUI9AACYtUeaCSpKASEQA8hIFbtocYqQ1UCVM2dypkTBw8eJCy3jFJVhhBoEAJi1QY1Zoiq8BlG3KksVXFYAB4AfTAwBKiS0V8IaBdAf7W3ausQUNy7bwxCI+eroV0AOQFUdiEgBIRAWwTeGqsKJyEgBISAEMiGwJtvVdfqq9XZKtM5l6Y2RaDaAJkyDHkAApqxPAABwZQoISAEhMBbCCgGoC8Mgi1Sdt6iLiEgBIpGQKxaNMLh5XPIBAFPzDjYrR///ilP7CF/3Zkrn3322ZgxY8jIB2E5ySa4TsePHx89enScuHmCqujpSuSbraREMc5KQJ/gmkigEKgcAbFq5U2QWoFPPvkEnsIhfvny5Q0bNvhcBmkOHz6cs9dNqH/+KydScHGA2rfffgsJJikVXk4ywqXQgQMH8t2AiExK4biE5cuX81UB99OCBQu++OKLZ8+e8WTLli1J1OiJNABlfRi9RU8oXB8l6WW5itYHK6V12NtSdEH/J7/kk6vj7167k5/THmqU5ETZUDKrlUOrAaPpsHjxYgfgsWPHONHX6cbzltjCaBy7zd+utSD71atXuyazBGjlJ0bDeCmcSe5Mju9hV3v4sG/8CevYIRmVDW7JdlBzpFB7g5wB5NfcNV8oUXE5GIbPZf4HfAHN/zeSklxYdWfFQJ4rkoZcCR+GqrXfUtWMVf3Xzw2syuhDmlLGoEGDrCoTJky4dOmS3R8+fHj+/PmuiqRhy6k5CvzBKSPW2bNnnzp1qlAwdu3aRSl2JKKb7N+4ccOYgovh7YsXLwrVoUzh0NzUqVMDlghokSPcGWcBJmQRsJQSRDHj4XQJvxvgwz3OIJlsxQ+g9hN33t0XH+QiGZSWLFkSr5qJSjhRy4NMNayaR2PlZYh36NAhcOA1u3v37sSJEw2TCxcuTJkyxeGzevVqXku64jNnzmBkODTdT3zuD+9BoUhevHhxxIgRnJbIoBj/qU32X716VWihVQm3dxvu4H1O4jPpqieUOnPmzO3bt/spISNaMz6a6yqtwgSYKLyJzijv1IBGHcHRy/o/pVIV2IGIfdV+LiSDEkPglqJIz+AjVSkZElfDqmZ/XCX0GxlAqXmWo0eP7tixA/Q2btxIr44j1Snc8jjfadOmYbtwrks2duzYly9ftqumW+PifXAtldZd6MZuqLRo0SLzZzF8buQKFV0ItbMZGGhHgLXRU/xqx79ADdE0Yw7HF9AZXMcxMYiuXLnS8vM9ZDG4OnRRUGqG71RMnjzZfxEKetPLZlXrb+3CChlDBenbC0KnnmI5S4r1HwDcu3cv5DVr1qywevqeWeer4QT2VKXwYjx58iSSBTbnYFp7+Pr1656bzKZCwCW20VP8ask1LKrwjsQnxdmKrjzX48ePO+hAXzts2DA/AZg4oPCN0qm3XF+i44FSM3Q8YIvVFb1mVTarRhBkDHX9+vXK274XFWBGj23x+vkTKH8kyK8WREW/Rf+8cOFCV80HDx4MHjw4YK3jI1Ccqrt37+Y518mTJ5nPUhzvDO4LO1/gyJEjkblbQH16VxTD3v3799tIzZyDPT2l8ydS8UaJOI4jCeiNYEBGu/GM2DMTKUOJG8YWoXwvQSynSlalAp1hDVLDRgrB4FauXLl161bfl08XdfPmTVdfiGzZsmVYG5MsFtx98oWRZ8yYEQoZvsdq/tzf/e53zlGwbds2Xol33333/fffh2HdsAIn71dffYVWpP/0009D6VBnOak8AOYKt4vBGvXipne/x8iMG8prNx/tGlAVDxmyhvYH/rhQbbm/nZ+hAttw+kV0DRVwEJFD6I+bVJrRBI8RiZRYTr0KgiuVWPAk0KprloIiq7qWW7cEAQ3DXv7kUWgJoXCs6qe31argb01ANOKvfAQcSMDipdyNy8LIwFXNVpx8f1RLkB2rtqTaiDLWUgnxT5XMF1t2vKoZiruCG0cciIJATIV4aYnjZhovOkma0hSusKCAhlEOq8YHbgFfn4BoxNs08ta7AFWe+8GqZIys3fuiSOmHY/ts64emRsqKRK3GSwxlgVWyaqg6JJdTqLkkUYOxoQVpRgwoSd4MabDLAwcOtMyIJtgl3oAMYpuXpXLDqBWkVaGRfNydPGUHYCHZrtsKsrWLD6DOAijc62LHQP3+979np2nalfTClevjAvDt8v70MQBvVb0qNNgjwDaWru8FvmniTLsm69yaCNm8eXNBazk+gGLVwl8rFnBoyxq50guvcW8UUBWP1BOdCtGwNauCyM6hTcgawRX4TDJvOujccGLV8gyb7tFtnms5MmJ5lKC8uEJM5DOE45VXsd4vqUIeqSF4QiNno4hVcwKYLrvGqunwKiu1eMRHWmjktDsfwIrjVXPWpA+zt9z72NMP+7ARVeVmIyBWrbh93Xc5I8wY/xy1KZptgbLOuSpuABUvBEIjIFYNjWgreex5b1eMv/HZ5z45VctoGJUhBApAQKxaAKieSFar2LPMzlH/Q3zFFhlOOjq3GzKHK0SShEDTEFBkVdNaNGd9IjEJbBngE1k5ZdYzu9Zn/HYRGjmtVKtVOQFseHZ/D1hTKbXhTajqVYqAPACVwq/ChYAQaBwCYtXGNWm+Cg0YMIAvWnLUFTMa22urSwgIgVQIiFVTwdX8xBxpxUEDXOztO3HihH1hWpcQEALJERCrJseqv1KyXZpv9Z8+fbq/qq3aCoHcCIhVc0MoAUJACAgBDwGxqszhLQQIUDV3KiemHTx4sOURmIJMCAiBDgiIVWUebyEwbtw43KksVU2aNCnDycBCUwgIAe0CkA30KQKKe/cbXmjkfA20CyAngMouBISAEGiLgDwAMg4hIASEQEgExKoh0ZQsISAEhIBYVTYgBISAEAiJgFg1JJqSJQSEgBAQq8oGhIAQEAIhERCrhkRTsoSAEBACYlXZgBAQAkIgJAJi1ZBoSpYQEAJCQKwqGxACQkAIhERArBoSTckSAkJACIhVZQNCQAgIgZAIvPV1lZCCJUsICAEh0E8I/PLLL1ZdfbOqn5pddfUQ0FeafHMQGjlfDn2zKieAyi4EhIAQaIuA/KoyDiEgBIRASATEqiHR7BVZnJx67dq1XtFWegqB3kJArNoD7fX8+fOPP/4Yx82vfvUrzpWKaMyT+MN4rUiDBLs+++yzMWPGIHbt2rXnzp0LDsHx48dHjx4dJ26eUBFq4UokJf+ikh2W1bsXVTNs586d27u1KFNzmh64+FtmoZTFgWyUi+UXWC7rVnZRhrsv4Ybj5iO12rlzZxHlllyvIqowZ86cNWvWIPnevXtU5+rVq64Unh87dixJocDbEuFUEvyi2xWKwLNnz0b0JDF6chYWP7mMZgNUipshQ4YkrEiSyiZJE9YwRo0aFcqAwcG9GtbudgG+/8oAWpJqJkwTFg2giLzdcTXiFhJJg9n7QkC4XV38ZH4a/3nEupAW1t58AN8waVhYu7alvVFJ3tKuojonKLleObVtmZ0quFdo8eLF7u3FLPy3rnPR7Vj12bNnWBh/u2qOhOTtFWlc9I+XcuDAAd4cK3fjxo1UrasOAROENYxQxhx5LxDrmpu2dvgbbdUWDdTzSdD6CZ/FSNDVdN1gonM1/WTIdOVSnIPOOiTfevm1A01nANZvDnkACpwHBBQ9aNAgkzZhwoRLly7Z/eHDh+fPn5+wFCRwErW5Efxp19ChQ2fPnn3q1KmEcrIl27VrF6UwO7Y5Ms4H5Fy+fHnmzJkmEPVevnyZTXjluXB3oMP06dOpXX6HNS//tGnTrFJQxqNHj+x+37597vnChQt5wmS28ronUQC3D5VasmSJUxhTXLp0aZK8XdNwuDrIWLIPP/zQTYIpdP369fYc3ODQJ0+eOGn8yn3+xmqpXsWsaoZYiXula2vVJwGz40OHDtlbdPfu3YkTJ5puFy5cmDJlSkI9V69e/fDhQzrhM2fOYN/37993GcePHw/BJZSTLdnFixdHjBhx+/ZtBsVQ6pYtW5DTuzQaAYHa8cSGQo74XBpzIMavlq/0yJEjfQk0GbjFMaeX4iGJszVH+bmM127dumVmbEzXVY39+/d39VYbP9r1+PFjSomLpQlg22HDhvk/0c1fv369qw4ZEpTEqjZIscuMCYPwHUa85wX1GxlAqVuWo0eP7tixA+iYJmMcw4cPdxoy0nT3Psj+OxypDtbMCAhGds/Hjh3bgeCcqA0bNrheMO2aDGpPnTqVElF40aJF9l4NHjz41atXdUM7uD689i1nlF1pxVZU3IDLFOMhLQLdxFcmgmseXCCsh8ynT5/a6N5dfsfj1pHOnz/vcKN36bq+BIFgokzg4pKhF6b8EcAZ2Lp5QNialsSqPkBxY7L3vKB+IyxelUibN2/eTz/9hIXt3buXd2nWrFkt1fBBbuezz6C/E+X7VSkrlajI/Mvy4s347rvv7B567aGRV6q6Z0sMiTAEhk0i2Znt2soVkPaKB8BVwQYE/kzcfvI7Hjed9yu+fft2mxC0u6BUunzfeRKRDLGWFm9QEqt2Nay49XTN0m8JmLMzQsTmfPYxB2WSi7wWRIX9MVA1x5xdDx48YNiYREjCNHGtmG3t3r2b51wnT540d6oNmakXD0+cOBHK0ZZQydKSpfIAmFY0FozZ4aWwoYlNqHviwuoYENhsPTITT6K/DXLbXSAMpSK/w/AfY7ty5UqSsgKkcSMRZGVY+cqcxV/QtCXCsJEiVdUrMyCdM7I+HglLIj2G4gcqdY0BwD8LzoxxIrloC5bju2qeMAYAN4X5tijOLfHjTqUK9pAErizK5UnkYVdNgiQIaPBhA1pQrGWQVnxVPeArExANWqdzDIAFhHRuREadfpBABBPrkk2Cv+7vy/QZxhooEkpFglDBcJTrA1hZZJUflFccpUZqG+RtrI8QMMwfjVRQZFV9UGqnSUAeCciqkffCxk1WhUgQaEBKDf6adI1XhVW7Run5Y0af/ixMylU/PrQ09oyE98ajU5PokNyMa8GqydXNmTLgy5NQE3jKAphdd5owY4ZkyWP42wnPLyGD2nXIUr5h1KHWJfQxSaqZJF61nZw8eZ1MxasGcHSUKWLPnj0EP8GtJRSKmxWXE/v6M5RlO1aJePVjUzLIURYhkBYBAhsIY8gW9hMk1nXz5s2sgKVVO2l6R95N7brLrxdD1K6zmyT9udIUikD5hlFodXIKLx+N+IarnFVImN3cNV13diWU1pI/9dXqpN1PwnQsRxLD4dxh8VwWAhJ/zrwmEpmYsEQly4YAUZ/mT9QFAkIjpxn4AIpVc4LZIjthMcwvusZ4hy9YEtMgIB7x0RIaaWynRVofwLrEq+asUoOzt9zs2OCHDW5KVa1PEBCrlt3Q7kOcEWZs943UtP6dXk9fdnuoPCEQGgGxamhE/yvv9evX7eTiGWhJfHKqFtISEioESkdArBoYclar2IW5bNky/6NQgcsoSxxVSHLKQFnqqBwh0BsIaLWqN9qpNC0jIQrsbeXbLqWVXmZBWp/x0RYaOW1Pq1U5AWx4dn9LWFMpteFNqOpVioA8AJXCr8KFgBBoHAJi1cY1ab4KDRgwgO/LNePc03xIKLcQyIiAWDUjcE3NxmkrfCGbi419fPM02xcGmgqO6iUEkiAgVk2CUj+m4dvYq1atOn36dD9WXnUWAjkQEKvmAE9ZhYAQEAIxBMSqMoq3ECBAddOmTTzihA8+ucaxwAJICAiBVAiIVVPB1fzE48aNw51K8B0HuuAB0KdXm9/kqmFoBLQLIDSiktcjCCju3W8ooZHTbLULICeAyi4EhIAQaIuAPAAyDiEgBIRASATEqiHRlCwhIASEgFhVNiAEhIAQCImAWDUkmpIlBISAEHgrBkBwCAEhIASEQDYE3OGSOmYyG4DKJQSEgBBojYA8ALIMISAEhEBIBMSqIdGULCEgBITA/wNVeGw0z3dFIQAAAABJRU5ErkJggg==)
GRAPH:
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)
(ii) If the temperature is 30°C, then from the graph, the temperature in Fahrenheit is 86° F. (pt. E)
(iii) If the temperature is 30°C, what is the temperature in Fahrenheit is 35° C. (pt. F)
(iv) Yes.
The temperature that has numerically the same value in both Fahrenheit and Celsius is -40 (pt. G)
Question 1.
Draw the graph of each of the following linear equations.
2y = -x + 1
Answer:
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
Question 2.
Draw the graph of each of the following linear equations.
–x + y = 6
Answer:
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
Question 3.
Draw the graph of each of the following linear equations.
3x + 5y = 15
Answer:
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
Question 4.
Answer:
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
Question 5.
Draw the graph of each of the following linear equations.
y = x
Answer:
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
Question 6.
Draw the graph of each of the following linear equations.
y = 2x
Answer:
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
Question 7.
Draw the graph of each of the following linear equations.
y = -2x
Answer:
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
Question 8.
Draw the graph of each of the following linear equations.
y = 3x
Answer:
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
Question 9.
Draw the graph of each of the following linear equations.
y = -3x
Answer:
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.) Table of solutions for the given equation-
GRAPH:
Question 10.
Answer the following question related to above graphs.
i) Are all these equations of the form y = mx, where m is a real number?
ii) Are all these graphs passing through the origin?
iii) What can you conclude about these graphs?
Answer:
(i) Yes, all these are equations of the form y = mx, where m is a real number and m = 1,2,-2,3,-3 respectively in the above equations.
(ii) Yes, all these are graphs passing through the origin, i.e., pt. A in every graph
(iii) ∴ we can conclude that every graph of type y = mx passes through origin, where m is a real number.
Question 11.
Draw the graph of the equation 2x + 3y = 11. Find from the graph value of y when x = 1
Answer:
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
From the graph (pt. E) we can see that for x = 1, the y = 3.
(Note: Also we can put x = 1 in the given equation and can find the value of y-
We have,
At x = 1,
⇒ y = 3
Question 12.
Draw the graph of the equation y - x = 2. Find from the graph
i) the value of y when x = 4
ii) the value of x when y = -3
Answer:
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
i)the value of y when x = 4 is y = 6 (pt. E)
ii) the value of x when y = -3 is y = -5 (pt. F)
Question 13.
Draw the graph of the equation 2x + 3y = 12. Find the solutions from the graph
i) Whose y-coordinate is 3
ii) Whose x-coordinate is -3
Answer:
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
(i) From the graph, we can see that for y = 3 is pt. E and the
(ii) From the graph, we can see that for x = -3 is pt. F and the corresponding y = 6 for that.
Question 14.
Draw the graph of each of the equations given below and also find the coordinates of the points where the graph cuts the coordinate axes
6x - 3y = 12
Answer:
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
⇒ ∴ the pts. Where graph cuts the co-ordinate axis(i.e., where x = 0 and where y = 0) are pt. A = (2,0) and pt. B = (0,-4)
Question 15.
Draw the graph of each of the equations given below and also find the coordinates of the points where the graph cuts the coordinate axes
- x + 4y = 8
Answer:
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
⇒ ∴ the pts. Where graph cuts the co-ordinate axis(i.e., where x = 0 and where y = 0) are pt. A = (-8,0) and pt. B = (0,2).
Question 16.
Draw the graph of each of the equations given below and also find the coordinates of the points where the graph cuts the coordinate axes
3x + 2y + 6 = 0
Answer:
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
⇒ ∴ the pts. Where graph cuts the co-ordinate axis(i.e., where x = 0 and where y = 0) are pt. A = (-2,0) and pt. B = (0,-3).
Question 17.
Rajiya and Preethi two students of Class IX together collected ₹ 1000 for the Prime Minister Relief Fund for victims of natural calamities. Write a linear equation and draw a graph to depict the statement.
Answer:
Given that together Rajiya and Preethi collected Rs.1000.
Now, Let the amount collected by Rajiya be Rs. x and by Preethi be Rs. y.
∴ the linear equation will be-
⇒ x + y = 1000
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
Question 18.
Gopaiah sowed wheat and paddy in two fields of total area 5000 square meters. Write a linear equation and draw a graph to represent the same?
Answer:
Given that total area = 5000 sq. m.
Let the area of field with wheat = x sq. m and area of field with paddy = y sq.m
∴ the linear equation will be-
⇒ x + y = 5000
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
Question 19.
The force applied on a body of mass 6 kg. is directly proportional to the acceleration produced in the body. Write an equation to express this observation and draw the graph of the equation.
Answer:
Given that mass (m) = 5 kg
Also, from Newton’s send law of motion, we have-
⇒ f = ma (where, f is force and a is acceleration)
⇒f = 6a is the equation to express this observation .
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
(Note: a = -1 means, a is negative and negative acceleration is called retardation.)
Question 20.
A stone is falling from a mountain. The velocity of the stone is given by V = 9.8t. Draw its graph and find the velocity of the stone ‘4’ seconds after start.
Answer:
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.) Table of solutions for the given equation-
GRAPH:
From the graph (pt. E) we can see that for t = 4, the V = 39.2.
Question 21.
In a election 60% of voters cast their votes. Form an equation and draw the graph for this data. Find the following from the graph.
(i) The total number of voters, if 1200 voters cast their votes
(ii) The number votes cast, if the total number of voters are 800
[Hint: If the number of voters who cast their votes be ‘x’ and the total number of voters be ‘y’ then x = 60% of y.]
Answer:
Let the number of voters who cast their votes be ‘x’ and the total number of voters be ‘y’
⇒ x = 60% of y
⇒ 5x = 3y is the equation.
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
From the graph we can see that for x = 1200, the value of y = 2000
And for y = 800, the value of x = 480
(where, no. of voters who cast their vote = x, and Total no. of voters = y)
Question 22.
When Rupa was born, his father was 25 years old. Form an equation and draw a graph for this data. From the graph find
(i) The age of the father when Rupa is 25 years old.
(ii) Rupa’s age when her father is 40 years old.
Answer:
Give that, When Rupa was born, his father was 25 years old.
Now, let the age of Rupa’s father be ‘x’ and Rupa’s be ‘y.’
⇒ x - y = 25 is the equation.
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
(i) Given that y = 25.
∴ from the graph x = 50 (pt. E)
(ii) Given that x = 40
∴ from the graph y = 40 (pt. F) (; 15
(where, Father’s age = x and Rupa’s age = y)
Question 23.
An auto charges ₹ 15 for first kilometer and ₹ 8 each for each subsequent kilometer. For a distance of ‘x’ km. an amount of ₹ ‘y’ is paid.
Write the linear equation representing this information and draw the graph. With the help of graph find the distance travelled if the fare paid is ₹ 55? How much would have to be paid for 7 kilometers?
Answer:
Given that, An auto charges ₹ 15 for first kilometer and ₹ 8 each for each subsequent kilometer. For a distance of ‘x’ km. an amount of ₹ ‘y’ is paid.
⇒ the extra charge for first kilometer apart from 8-
= 15-8 = Rs.7
⇒ y = 8x + 7 is the linear equation.
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
Now, from the graph, distance travelled if the fare paid is Rs.55
is 6 km (pt. E)
And the money to be paid for 7 kilometers is Rs. 63. (pt. F)
Question 24.
A lending library has fixed charge for the first three days and an additional charges for each day thereafter. John paid ₹ 27 for a book kept for seven days. If the fixed charges be ₹ x and subsequent per day charges be ₹ y, then write the linear equation representing the above information and draw the graph of the same. From the graph if the fixed charge is ₹ 7 the subsequent per day charge ? and if the per day charge is ₹ 4/- find the ‘fixed’ charge ?
Answer:
John paid Rs. 27 for a book kept for seven days. If the fixed charges be Rs. x and subsequent per day charges be
Rs. y
⇒ x + 4y = 27 is the equation.
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
Now, from the graph if the fixed charge is Rs. 7 the subsequent per day charge is Rs. 5 (pt. E)
and if the per day charge is Rs. 4, then the fixed charge is Rs. 11. (pt. F)
Question 25.
The parking charges of a car in Hyderabad Railway station for first two hours is ₹ 50 and ₹10 for each subsequent hour. Write down an equation and draw the graph. Find the following charges from the graph
(i) For three hours
(ii) For six hours
(iii) How many hours did Rekha park her car if she paid ₹ 80 as parking charges?
Answer:
Give that, the parking charges of a car for first two hours is Rs. 50 and Rs. 10 for each subsequent hour.
⇒ the extra charges for first two hours apart from Rs. 10 per hour = 50-(10× 2)
= 30
Now, let ‘x’ be no. of hours and ‘y’ be the parking charges.
⇒ y = 10x + 30 is the equation.
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
(Note: Negative values are taken just to make graph but these values are practically impossible)
(i)Given, x = 3 hr.
From the graph, the corresponding y = 60 hr. (pt. E)
(ii)Given, x = 6 hr.
From the graph, the corresponding y = 90 hr. (pt. F)
(iii)Given, y = Rs. 80
From the graph, the corresponding x = 5 hr. (pt. G)
(where, No. of hours = x ; Parking charges = y)
Question 26.
Sameera was driving a car with uniform speed of 60 kmph. Draw distance-time graph. From the graph find the distance travelled by Sameera in
(i)
(ii) 2 hours
(iii)
Answer:
Given that, speed = 60 kmph.
Also, distance = speed× time
⇒ d = 60 t (where, d = distance, t = time);
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
(i) Given, t = 1.5 hr.
From the graph, we have corresponding y = 90 km. (pt. E)
(ii) Given, t = 2 hr.
From the graph, we have corresponding y = 120 km. (pt. F)
(iii) Given, t = 3.5 hr.
From the graph, we have corresponding y = 210 km. (pt. G)
Question 27.
The ratio of molecular weight of Hydrogen and Oxygen in water is 1:8. Set up an equation between Hydrogen and Oxygen and draw its graph. From the graph find the quantity of Hydrogen if Oxygen is 12 grams. And quantity of oxygen if hydrogen is gms.?
[Hint : If the quantities of hydrogen and oxygen or ‘x’ and ‘y’ respectively, then x : y = 1:8 ⟹ 8x = y]
Answer:
Given that, ratio of molecular weight of Hydrogen and Oxygen in water is 1:8.
Now, Let the quantity of hydrogen and oxygen or ‘x’ and ‘y’ respectively.
⇒ 8x = y
⇒ y = 8x is the equation.
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
From the graph, the quantity of Hydrogen if Oxygen is 12 grams is grams. (pt. E)
And quantity of oxygen if hydrogen is grams is 12 grams (pt. E).
Question 28.
In a mixture of 28 litres, the ratio of milk and water is 5:2. Set up the equation between the mixture and milk. Draw its graph. By observing the graph find the quantity of milk in the mixture.
[Hint: Ratio between mixture and milk = 5 + 2 : 5 = 7 : 5]
Answer:
Given that, the ratio of milk and water is 5:2.
∴ Ratio between mixture and milk = 5 + 2 : 5 = 7 : 5
Now, let the quantity of mixture be ‘x’ and milk be ‘y’.
⇒ 7y = 5x is the equation.
For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
Now, given mixture(x) = 28
From the graph, (pt. E)- the corresponding quantity of milk(y) = 20
Question 29.
In countries like USA and Canada temperature is measured in Fahrenheit where as in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius
(i) Draw the graph of the above linear equation having Celsius on x-axis and Fahrenheit on Y-axis.
(ii) If the temperature is 30°C, what is the temperature in Fahrenheit?
(iii) If the temperature is 95°F, what is the temperature in Celsius?
(iv) Is there a temperature that has numerically the same value in both Fahrenheit and Celsius? If yes find it?
Answer:
(i) For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.
(Note: ∵ equation is linear graph will always be straight line.)
Table of solutions for the given equation-
GRAPH:
(ii) If the temperature is 30°C, then from the graph, the temperature in Fahrenheit is 86° F. (pt. E)
(iii) If the temperature is 30°C, what is the temperature in Fahrenheit is 35° C. (pt. F)
(iv) Yes.
The temperature that has numerically the same value in both Fahrenheit and Celsius is -40 (pt. G)
Exercise 6.4
Question 1.
Give the graphical representation of the following equation.
a) On the number line and
b) On the Cartesian plane
x = 3
Answer:We are given, x = 3
The representation of the solution on the number line, when equation is treated as an equation in one variable.
![](data:image/png;base64,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)
The representation of the solution on the Cartesian plane, it is parallel to y axis passing through-the point (2,0) is shown below
![](data:image/jpeg;base64,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)
Question 2.Give the graphical representation of the following equation.
a) On the number line and
b) On the Cartesian plane
y + 3 = 0
Answer:We are given, y + 3 = 0
We get, y = -3
The representation of the solution on the number line, when equation is treated as an equation in one variable.
![](data:image/jpeg;base64,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)
The representation of the solution on the Cartesian plane, it is parallel to y axis passing through-the point (0,-3) is shown below
![](data:image/jpeg;base64,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)
Question 3.Give the graphical representation of the following equation.
a) On the number line and
b) On the Cartesian plane
y = 4
Answer:We are given, y = 4
The representation of the solution on the number line, when equation is treated as an equation in one variable.
![](data:image/jpeg;base64,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)
The representation of the solution on the Cartesian plane, it is parallel to y axis passing through-the point (0,4) is shown below
![](data:image/jpeg;base64,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)
Question 4.Give the graphical representation of the following equation.
a) On the number line and
b) On the Cartesian plane
2x – 9 = 0
Answer:We are given, 2x – 9 = 0
We get, 2x = 9 ⇒ x = ![](data:image/png;base64,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)
The representation of the solution on the number line, when equation is treated as an equation in one variable.
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwgHBgoICAgLCgoLDhgQDg0NDh0VFhEYIx8lJCIfIiEmKzcvJik0KSEiMEExNDk7Pj4+JS5ESUM8SDc9Pjv/2wBDAQoLCw4NDhwQEBw7KCIoOzs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozv/wAARCABRAYcDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqOfyxBJ5r+XHtO9923aMcnPb60ASUVw/gnUrq91N49Q1G6lCW3/EsEo2i7ttxAnbn5nOFBzjAwcfPVnxDZ63Nq8j2UGtPCVXBtNShhjzjnCsM0AdVc3MFnbSXNzMkMMSlnkkYKqgdSSaq2Wt6ZqNpLd2l7HLDDnzWBxswM8g8jjn6VmeJ7ZZfBTpd3AtTEsErPdfvFDI6MBIV6gkYYjsSa5qe7utU1nVcvar9vt7TTiLOUyoGZ5CwL4G5hGWbgcArQB2R8T6GLuG1bUoFmnCFEJx98ZUH0JBGAcE1q1wmsX+iahqN34at7qwsLc3KSapcSTIjSONp8uME5LnaoLdFHAyend0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFNZVdCjqGVhggjIIp1FADPKj3I3lrlBhTj7o9vSnE4BNLSN90/SgClpFxJf6Nbz3G1nmjy/HB/CrENna28aRw20MSRnciogAU+oA6dT+dUvDn/IvWX/AFyFadAFZ9OsZJDI9lbs5OSzRKST9cVZoooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACkb7p+lLVbUL610ywmvbyYQwRLl3POO34nPGKAKvhz/AJF6y/65CtOuf8F6xY6poMUdrKWktVCTRspVkPbIPY+tdBTaadmJNNXQUUUUhhRRRQAUUUUAFFFFABRRRQAUVWlvoYbyO1l3IZVJjdh8jEdVz645x6dOhwUAV/7A0f8A6Btt/wB+xR/YGj/9A22/79itGqt7ZvdhAl7c2u0nJgKjd9dymgDGNloNnqCaXHoz3EmFd3WEOsYdmwWY/Q/gK0v7A0f/AKBtt/37FZN74Zup75HT7NId8Lf2hLkXUex9xAwMHI4H3cAnOa6egDO/sDR/+gbbf9+xTJPDejSGMnT4BsbcNq4zwRz6jnpWpWTdaJNcrMo1vUYhKGGEaPCZ9PkzxQBDp9p4c1QXBs7G2kW2naB28nA3gAnHqOetW/7A0f8A6Btt/wB+xVfw9otxov21Jrz7RHNMrwjy1TYojVcYUAZ+X8gPetmgDO/sDR/+gbbf9+xWbqFr4c0Qs1xpm8SBpnKQGQRIoAZj/dUcfrx1rcu7drqAxpczWxznfCV3fqCKxNY0LULzTpNPjnS+hmVtzXshV4n42upReQOTtI5OOaANEaDo7AEabbEHofLFH9gaP/0Dbb/v2Kuwo8cEcckhldVAZyMFjjrUlAGXN4a0aeIxtp8Kg45Rdp6+oqhYL4b1G6NvDpaqxVniaS22LMqkBmQkcgEj8wehrUuNNlnuTMuqXsCnH7qIptH5qT+tUNFsNVTU7i+1iG3aeRSqSxXDMI03ZEaoUGB3JySSPTAABd/sDR/+gbbf9+xR/YGj/wDQNtv+/YrRqOaMzQvGsrxFhgOmNy+4yCKAMXU9P8NaLaz6nfWtvFCiANlMjjJG1R1Jz25PHpVuPQ9GliSRdNttrqGGYh0NMuNHnfS761Go3FzJc27xJ9pK7UJUgH5VHrWjaxNBaQxMQWjjVTjpwKAKf9gaP/0Dbb/v2Kq6lpugafZmW406HDMI1WOLLuzHAVQO5NbdZutWE99BbtbFPPtblLhFkJCvt6qSAcZBPODzigCtpulaBeWEUttp8RQZQiWLDqynaQ2ecggg1a/sDR/+gbbf9+xS6LYTafZOtwyGeaeSeQRklVLsWwCeoGcZ74rQoAzv7A0f/oG23/fsVn3dl4YttXsbOa1gF3c7lhhVM7hgklgOMfKcE/hXQ1Q1Gxku7rTpY2UC1ufNk3dSvluuB75cfrQA3+wNH/6Btt/37FH9gaP/ANA22/79itGigDLm0XRIIXml0+2WONSzMYxwByTVDR7Tw7fiSKDS/LePEhS6tyr7XJKsM/wnDAemMcYrfnMwt5DbqjTBD5YckKWxxkjtmsnw7YX9mtxLqkcLXs5VpbiOcv5hGeACq7FHYDPU55ySAWf7A0f/AKBtt/37FH9gaP8A9A22/wC/YrRooA5zWbPw7pqxNdaZkLmU+RAW2qn3mbH8IyPr6GtFNC0WRFdNOtWVhkERjkVD4j0681WxazgitZoJkZZEnd0KtxtYFc5xzkd+ORWnaxSQWkMUsxmkjjVXlIwXIHJx79aAKf8AYGj/APQNtv8Av2KP7A0f/oG23/fsVo0UAYFvYeG31i706Kzhe6iVJplMeVQMMADsPu5wPXPenav4Q0jVNMltFto7V2wUmiQbkYHIPv06VHo/hu60nW5bs6nJc272+zbKiBy5dmJJCjP3v19hXQN90/Smm07oTSaszjPBfg6wtdMF7eBL2e7VT88YCxqM4AHPqcmtXWNN0CysC0+lqwldYkW3i/eMzHgLirnhz/kXrL/rkKXXNPfULWFEtLO78qYSGG7B2MACOCAcHnqQR7c5DlKU3zS3FGKirLYZbaNpFxbpN/ZEUW8Z2SwgMv1FSf2Bo/8A0Dbb/v2KXQtPl0vR4LOZ1Z49xwhO1AWJCLnnaoIUewFaFSUZ39gaP/0Dbb/v2KzBa+HP7aa1XTN8nELOtuTCj43bSegbB6/QZzgV0lcwnhm5i8RNfRNCsb3v2prje3m7Sm0w7cY2kjOc/hnmgDW/sDR/+gbbf9+xR/YGj/8AQNtv+/YrRooAybrRtHt7Z5v7Hjm2j7kUILN9BVTRLLQdSs2NvpBjW2kNu32mHDFlwDzznngn1BrcuRObWYWxUTlG8sv0DY4z7ZqDSbBdL0m1sVwfIiVWYfxNj5m+pOT+NAEX9gaP/wBA22/79ij+wNH/AOgbbf8AfsVo0UAYdz4T0q7uYzLZ24toxnyViA3vyMsfQDoPXn0orcooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigApG+6fpS0hGQRQBm+HP8AkXrL/rkK06paRaSWOk21rMVMkSBW2nIzV2gAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA//Z)
The representation of the solution on the Cartesian plane, it is parallel to y axis passing through-the point (
,0) is shown below
![](data:image/jpeg;base64,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)
Question 5.Give the graphical representation of the following equation.
a) On the number line and
b) On the Cartesian plane
3x + 5 = 0
Answer:We are given, 3x + 5 = 0
We get, 3x = -5 ⇒ x = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAAfCAMAAADKrP1yAAAAAXNSR0IArs4c6QAAAFRQTFRFAAAAAAAAAAA6ADo6OgAAOgA6OjoAOma2OpDbZgA6ZpDbZrbbZrb/kDoAkDo6kGY6kLbbkNv/tmYAtmY625A625Bm27Zm27aQ/9uQ/9u2//+2///bXfyARAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAd0lEQVQ4T72SSw6AIAxEW8S/oiAoyv3vaeNnZbsisSsSOo8OU4D88oioLMPxgwCXLwhVC6KoBVwam68kGQusIi00bZ/vOpPgyOld19c950zof/JQoeqY55KZYWWXgZpjyW0JwD7xeTgspKA2bhmOVsgcgubHfR2co30DagTRGcEAAAAASUVORK5CYII=)
The representation of the solution on the number line, when equation is treated as an equation in one variable.
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwgHBgoICAgLCgoLDhgQDg0NDh0VFhEYIx8lJCIfIiEmKzcvJik0KSEiMEExNDk7Pj4+JS5ESUM8SDc9Pjv/2wBDAQoLCw4NDhwQEBw7KCIoOzs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozv/wAARCABRAYIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aiiigAooooAKKKKACiiigAooooAKKKKACiiigAqhfa3p2m3HkX1ytuxge4BkBClExvIbpkZBx1xzV+ua8V+HbzxLLbW6yw29taZuY5GUOzXI4jBUjGwclv73A9aANmXVLSDShqczPHbbFk3NE24A4xlcbs8jjGag0vxHpWtTPDp9w8rxruYNC6YH/AgKma3uNQ0dYLx3s7iWNfNNpKQUbjO1sZxnvjpUGl6INLmeQanqN3vXbtu7gyKPcDHBoAn1nUV0jRb3UnAYWlu820nGdqk4/HFYmh+Jrm70++v7660iaK0h8x10+VnZMAkhs+w4Per2o6A0v226sbmVb2eIqi3M0ktuDgdYiduOOw7mse60HWNZ1Br69tLayEkEdm8MU/mF4vNDyMW2jsu1R/tMT6UASX/iTXdMtbe8u7OxSMrCvkGQ+ddSPt3rEvbaWwAck4PQc111cr4l0nWtYS805bXT57a5AFrdyMVksiQAzYwdzAjcpBHOAema6hFKoqlixAxk9TQA6iiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAqC7u47KJZZd21pFQbRnliAP1NT1l+IP+QfF/19Q/8AoxaANSiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACsvxB/yD4v+vqH/ANGLWpWV4hZV0+IswUfaoOScf8tFoA1aKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAoopCwUZYgDOOaAFooooAzfsmr/APQVh/8AAT/7Kj7Jq/8A0FYf/AT/AOyrSqK4eaOB2t4VmlA+VGfaG/HBxQBni11vzH36pbCPA2kWvOe+fm+lP+yav/0FYf8AwE/+yrA8SNqV1JYf2jaQWdgsj+czA3SZ2HYWQAd8gZ4yR3xXRaEZW0GwM9ubaT7Om6Ekkpx0+bn8+fWgBn2TV/8AoKw/+An/ANlTZLXWvKfytUtzJtO0NacZ7Z+bpWpVG8udSimC2mnRXEe3Jdrnyzn0xtNAEQttW4B1aDdjkC0/+ypfsmr/APQVh/8AAT/7Kuf0lDD4ud0jWa4uJ5jdCSy2SWy7flIl/iXhVHqDkAYNdlQBm/ZNX/6CsP8A4Cf/AGVNNrrfnDGqW/lbTk/ZPmzxj+Lp1rScsEYooZgOFJxk/WsO/u/EUlo0cGkIjOQrPFeKXVc/MV3KBnGcc9TmgC59k1f/AKCsP/gJ/wDZUfZNX/6CsP8A4Cf/AGVVfBYlTwlYRzW0luyRlRHI25gATjJrcoAzfsmr/wDQVh/8BP8A7KmxWut+WvnapbCTHzBLTj8MtVm+nvodn2Kyjuc53b5/L2+nY5rmNS2y+ItPmW1eHU1uojPGEd2ePGMxy/dCKCSwxyQRwSMgHQfZNX/6CsP/AICf/ZUfZNX/AOgrD/4Cf/ZVpUUAZb2ut7k2apblc/PutOcYPT5uucfrXF/EHw/rl89ncmVNRt0/deUqiPY7MADgtg56Z7fia6vU727Wwu/7S03yrARP5skF0Wk2YP3VVQcnpwe9Y2nfZ30aa5tvKiS41CBxaQD5LYZQBegG44y2OMnv1N05unJSXQicFOLizW0PSddsNEs7W41aLzYogrAweZt9t24Zx0z7Ve+yav8A9BWH/wABP/sq0qr3kt1FCGs7VLiTdgo8vlgD1zg1Ld2WtCnHa6583m6pbD5jt22n8PbPzdad9k1f/oKw/wDgJ/8AZVma1Dd3Y0q6uYJYJYdRixDDOXQgsPmbAGeM9eBXS0gM37Jq/wD0FYf/AAE/+ypslrrQUeXqtvu3DO+04xnn+LrjOPetSuU8XRxtdob2GSW2NjOsAWNnxckrsxjo+M7T9cUAbP2TV/8AoKw/+An/ANlR9k1f/oKw/wDgJ/8AZVasBOun2wujm4ES+af9rAz+tWKAM37Jq/8A0FYf/AT/AOypq2uueY+7VLbZxsxac++fmrUrCtbRoPG15NundZrGNiZGLKp3v8q9gMdh60AW/smr/wDQVh/8BP8A7Kj7Jq//AEFYf/AT/wCyrSooAy5bXWhE5i1S3MgU7d9rhc9s/N0p32TV/wDoKw/+An/2VQeKbixtdGMuoQSXMQlTbAmcSvn5Q2ONueTnjA5p3heJItAgWOeOZSztmIERplydiA87VztHsKAJfsmr/wDQVh/8BP8A7Kj7Jq//AEFYf/AT/wCyrSooAyvsut+cB/alt5W3/n1+bOf97pT/ALJq/wD0FYf/AAE/+yrE1ZYP+EsspLWGT7at2nnAwvvkjKY3JJ90Rrkll6Eg9D162gDN+yav/wBBWH/wE/8AsqPsmr/9BWH/AMBP/sq0qqapJexabO+nQrPdhcRIzBRk9+fTr74oArRWutmJPO1S3EmBvCWnGe+Mt0p32TV/+grD/wCAn/2VZ/gtLiLTbyK4triBlvpsG4kDu+WySSPcn29OK6KgDN+yav8A9BWH/wABP/sqY9trSvHt1W22EnfuteenGPm9a1a47xbGF1iK6Cie5itgLS1msPOSZy+Sqv8AwscKD0wMHOM0Ab/2TV/+grD/AOAn/wBlR9k1f/oKw/8AgJ/9lWlRQBm/ZNX/AOgrD/4Cf/ZU2O11shvM1W2zuONlp2zxn5uuKvXYmNnOLf8A13lt5f8AvY4/WuV8Dq8cjp5C5+yQm4lWF4is3O5HDH52HUt1557UAb32TV/+grD/AOAn/wBlVbUbLUnsJlmu47tGGDClmCX54A+fjnv261t0UAc5b6V4pS3iV/EUIZUAINmHOcf3i3P170V0dFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFZfiD/AI8Iv+vqD/0YtalZfiD/AI8Iv+vqD/0YtAGpRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABTJfuj/eH86KKAH0UUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAf/9k=)
The representation of the solution on the Cartesian plane, it is parallel to y axis passing through-the point (
,0) is shown below
![](data:image/jpeg;base64,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)
Question 6.Give the graphical representation of 2x - 11 = 0 as an equation in
i) one variable
ii) two variables
Answer:We are given, 2x -11 = 0
We get,
2x = 11
x = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAeCAMAAADEgrRGAAAAAXNSR0IArs4c6QAAAE5QTFRFAAAAAAAAAAA6AGaQAGa2OgA6OmZmOma2OpDbZgAAZgA6ZjoAZrb/kLbbkNv/tmYAtmY625A625Bm27Zm29u22////7Zm/9uQ//+2///bgWo6oAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAZ0lEQVQoU51QSRKAIAwr7opbRRH+/1GhqMCJgVwymSaZtgBJ6L0hz8tHx0l/DIBuXsp6qy/qd4zMYPCc3C/PYNsD5IVL3SdnrPdhNS0gqjVqu9tYo3lBABHE7ZNiKY2U829Xo72Q9AN4fAN5l3uzZQAAAABJRU5ErkJggg==)
The representation of the solution on the number line, when equation is treated as an equation in one variable.
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwgHBgoICAgLCgoLDhgQDg0NDh0VFhEYIx8lJCIfIiEmKzcvJik0KSEiMEExNDk7Pj4+JS5ESUM8SDc9Pjv/2wBDAQoLCw4NDhwQEBw7KCIoOzs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozv/wAARCABmAc0DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiivPdXvHi8aPpqandJos9zC1+6s2Lecg7IRJnKLJhNwHTIHG+gD0KisjxLDcz6QyWkN/LJvU7bC5WCTH+8xAx7Vm+E7TULa7na8tdahUxgKdR1GO5UnP8IVjg+9AG7qWq2OkW6T39wsCSSLEmeruxwFA6k0X2q2OmyWsd5cLE93MIYEPJkc9gP69q5/x/p1lJo41KS3RruK4tY45WGSim4jzt9M+opPGOnWaX+i6kLdPtj6raxGYjLBAxO0HsM+nWgDoL7V7LTZY47yYReZHJJuYfKqIMszHoAMjk+tV9M8S6Xq9yba0mkE3l+asc0DxM8ecb1Dgbl9x61l3j6fc63rN5q3lnTdNsltpfOGU+b97Jkd+PK4puiSt4g1+PX7qSKBIYHi0+y8xTKEcqWkkweGO1cL/COvJ4AOrooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKrNpti1vNbtZW7QzuXmjMSlZGPUsMcngcn0qzRQAnSloooAjmghuY/LniSVMg7XUMMg5BwfQgH8KJYIZ9nnQpJ5bh03qDtYdCM9CPWs7RJWkk1NWkLlL5wAWztGF49q1aAKz6dYywTwSWcEkVw2+aN4wVkbjlgep4HX0FQWWgaLptx9osdIsbWbBXzILZEbB6jIGa0KKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAOe8Nf8hbxAP8Ap+/9kWuhrnfDf/Ia8Q/9fo/9AFdFQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRWZ/YUX/P8Aaj/4GP8A40f2FF/z/aj/AOBj/wCNAGnRWRL4fDmPy9U1KMK+WAunO8YPHXjt+VKukWryPGmp3zPHjeovnJXPIyM8UAa1FZn9hRf8/wBqP/gY/wDjR/YUX/P9qP8A4GP/AI0AadFZEmgKzRsup6kiq2XH2tzvGCMdeOSD+FMtdP0++jMlnrF3cIrbS0WoM4B9Mg9aANqisz+wov8An+1H/wADH/xo/sKL/n+1H/wMf/GgDTorIl0Fd8bjVNRjRCS6/a3w4we+eOefwplpYaffxmWz1i7uYwdpaHUGcA+mQaANqisz+wov+f7Uf/Ax/wDGj+wov+f7Uf8AwMf/ABoA06KyH8Phpo3XVNSVFzvT7U53+nOeMUsej20oJj1K/cKxUlb1zgg4I69QaANaisz+wov+f7Uf/Ax/8aP7Ci/5/tR/8DH/AMaANOisJ9MsxqUVt/bt4kxRj9lN829+mGxnOBg9PX2q1/YUX/P9qP8A4GP/AI0AadFZn9hRf8/2o/8AgY/+NH9hRf8AP9qP/gY/+NAGnRWM+iQpdRbtX1BA6sqxG8b524ORzngA8e/tU39hRf8AP9qP/gY/+NAGnRWZ/YUX/P8Aaj/4GP8A40f2FF/z/aj/AOBj/wCNAGnRWC2nWSaols2v3ayvH8tob4h25zuAznoDVv8AsKL/AJ/tR/8AAx/8aANOisz+wov+f7Uf/Ax/8aP7Ci/5/tR/8DH/AMaANOisEabZ/wBqG2/t68MpjBFp9uO8cn5sZz0x7cVb/sKL/n+1H/wMf/GgDTorM/sKL/n+1H/wMf8Axo/sKL/n+1H/AMDH/wAaANOisY6LCl5tfV78GVP3cJvGB+XO5hzk9V+mPepv7Ci/5/tR/wDAx/8AGgDTorM/sKL/AJ/tR/8AAx/8aP7Ci/5/tR/8DH/xoA06QkKCSQAOpNc/HZ6adVls/wDhIrl7ggAWg1A70IBJ4znkEH8Ks3PhuC6tZrd7/UdsqMh/0tzwRj1oAxvCWvaXeeItagt7xHe5uPNgGCBKoUAlSeDj2+vSuxry3wp4Iuf+Ejn+1XqrFpMuwNbMyPKxTgj+6MNzyfTpXf8A9hRf8/2o/wDgY/8AjWtWMIytB3RnTc3H31ZmnRWDDptm2oXFsNevJZlAY2wvjviGO4Bzz159at/2FF/z/aj/AOBj/wCNZGhp0Vmf2FF/z/aj/wCBj/40f2FF/wA/2o/+Bj/40AadFc3Zw6RdXkkEHiaa6lZspBHqWWQADIwGyeQT+NaP9hRf8/2o/wDgY/8AjQBp0Vmf2FF/z/aj/wCBj/40f2FF/wA/2o/+Bj/40AadFYNpptlPcXMUevXly8cnzRpfEmHgDaQDnqCefWrf9hRf8/2o/wDgY/8AjQBp0Vmf2FF/z/aj/wCBj/40f2FF/wA/2o/+Bj/40AadFYNjptncNcLDr15dtHIQwjviTF/snB9j15q3/YUX/P8Aaj/4GP8A40AadQWt5BeCQwPuMTmORSCGRh2IPT19wQe9U/7Ci/5/tR/8DH/xrMi8KNc3dxd3V9qFsXxHGkV624opOC7dycnjsPxoA6aiiigDInuPEapKYNO05yAfLBvXGT2z+7+nesfwbb6ja6zrCX1i0LyeS8k7TB/Nk28ngD9OBgCuvooAKKKKAMe4l1d7eZb3S7OW1MbCWOG5d5HXByFUxgEnpjI61m+Ftr67qlxaq0llNFD5chtjAIiu8CEKQM7QQc9ecHoMdVRQAUhzg469qWigDB1C4vxpt0dZ02zbTvJf7QsFxJK7Jg5AXyxknpjI61X8ISwX09/qamKOe5EStbRRlVgRQ2xSSBubk5I46AcAE9NRQAUjbgp2gFscAnAzS0UAZkf9r3JMF9Z2cVvIpV2gvHLjI7fIv55GKq+EbNLDSri1ihMEUV/ciNMEYXzWxjPbHet2igAooooA4i6hP9r3No1tI2oza1BcwyeST+4UR5bfjAAVXXGe+O/Pb0UUAFFFFAHP6tp8R8W6HqCwM04kljaTLEInkvx6Lk4+vFdBRRQAUUUUAcZf3Gm3fisaasa2vl3kNxcTtCxkuZlA2KhxgAYUFs/7I6kjs6KKACiiigDjdSEMniiyWytZVuIdQEk8Btivm5TaZ/NH8KqfXnG3FdlRRQAUUUUAcWsOs/8ACf2d5e6YCH+0RpMlxuWOEbdoxjgnqe5J9AK7SiigAooooA43T2ltfEghsZrySSe/ne9tri0VVijIYhw4X1CBTuOQegxx2VFFAHP+Hv8AkOeIf+vtP/RYroKwtBUDWNeOOTeLn/v2tbtAHB+G4rq31mzt5kM10lxdG7R7Pb9nDFiJFlxkl/lHUghug213lFFABRRRQBg6VbC68Q6lqcsOz7O/2O1BTbtUAM7D/eY4z6IK3qKKACkOQDgZPpS0UAcF4Ngli1i0+SRilnKk0TWxi+ws0it5Zcj94ScjJyflz/Ea72iigApkyeZDJHlhuUjKnBHHb3p9FAHD+EIJxrFoI1UW1hpzWrsto8BJ3JtD7ur4ViQMgZPPzV3FFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAGJoX/ACF9d/6/F/8ARa1t1BBZ29tLPLDGFe4cPKcn5jgDP5AVPQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAf//Z)
The representation of the solution on the Cartesian plane, it is parallel to y axis passing through-the point
is shown below
![](data:image/jpeg;base64,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)
Question 7.Solve the equation 3x + 2 = 8x - 8 and represent the solution on
i) the number line
ii) the Cartesian plane
Answer:We are given that, 3x + 2 = 8x - 8
We get,
3x – 8x = -8 – 2
⇒ -5x = -10
⇒ x = ![](data:image/png;base64,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)
⇒ x = 2
The representation of the solution on the number line, when given equation is treated as an equation in one variable.
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwgHBgoICAgLCgoLDhgQDg0NDh0VFhEYIx8lJCIfIiEmKzcvJik0KSEiMEExNDk7Pj4+JS5ESUM8SDc9Pjv/2wBDAQoLCw4NDhwQEBw7KCIoOzs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozv/wAARCABfAZUDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACs278QaXYXVxbXl0IJLe2N1J5ikDygcFgcYODwQOeR6itKuP8X6BqfiPUIPs8EEUWlL9ptpJgrC5uMgiMjqI8L83qSuPu0AdM+o20WlnUpWeO2EXmsXjYMq4zyuM59sZrO03xhoOrXqWVjemWdwSqmCRc4GTyVA6VobZ9Q0kLJ52nTzxfNsZWeBiOcHlSQe/Iqhp2gXVjepcS+I9VvVUHMNw0WxsjHO2MH360AU/F/iWfQ59Otba50+1kvGkLTX+7y0RFyeAQSSSo/GtfRLi4u9KhuLq6srp5AWE1jnynGeNuSe3vVTWJNQtdSs7210iPUrdEkSQR7BcRE4wULEDacEEZB6HtTPCWl3Wmabcm8iW3kvLyW6FsjBhbhzkJkcZ7nHGScUAbtFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFZequ6alpKq7KGuGDAHGR5bda1KACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDJ1f/AJCmj/8AXy3/AKLatasnV/8AkKaP/wBfLf8Aotq1qACiiigAooooAKKKKACiiigAooooAKKKKACis3+wbH1u/wDwNm/+Lo/sGx9bv/wNm/8Ai6ANKis3+wbH1u//AANm/wDi6rf2PpdhDDHd3t0WkkEaPNfygyOc4UfNyfb2oA26Kzf7BsfW7/8AA2b/AOLo/sGx9bv/AMDZv/i6ANKis3+wbH1u/wDwNm/+LqitnodpcQaZcanM16yjCSajKJJPfG/qcH9aAOgorN/sGx9bv/wNm/8Ai6P7BsfW7/8AA2b/AOLoA0qKzG0CxKkBrwEjqL2bj/x6qS2ug293Dpc2pzNe7QNj6jKJHOOpG/qcE4oA6Cis3+wbH1u//A2b/wCLo/sGx9bv/wADZv8A4ugDSorLl8P2TxOiy3sbMpAdb2bK+4+aoxpGlxTRWb3Vy1w0ZZUa/l3uBgFsb/Uj86ANiis3+wbH1u//AANm/wDi6P7BsfW7/wDA2b/4ugDSorC1PTdHsrCSS6vrmyRhsEzX8o2semMt1qxDo2mzwpNDLcyxuoZHS/mIYHoQd/NAGrRWb/YNj63f/gbN/wDF0f2DY+t3/wCBs3/xdAGlRWPeaFYCzlLXV5bKqEmb7dKPLA6nJbFSRaNps0SSxSXTxuoZWW+mIYHoR89AGpRWb/YNj63f/gbN/wDF0f2DY+t3/wCBs3/xdAGlRWDqmm6PZWZkutQubFCwAlN/KOc5wMtzkA/hmrMOj6ZcwpNBNcSxSKGR0v5irA9CCH5oA1aKzf7BsfW7/wDA2b/4uj+wbH1u/wDwNm/+LoA0qKwdUsNF0+3SS81G4skMi4d9QlXdg5K8t3AOfbNW00TTpEV0e6ZWGVZb6Ygj1Hz0AadFZv8AYNj63f8A4Gzf/F0f2DY+t3/4Gzf/ABdAGlRWLf6Nplvam4nvbq0hhIkkka/lC7R1BJboasf2DY+t3/4Gzf8AxdAGlRWb/YNj63f/AIGzf/F0f2DY+t3/AOBs3/xdAGJ4n8UaRpmuabb3Vywkt5fNn2RlhEpQgFsdOvTrjmurjkSWNZI2Do4DKynIIPQivMfGfhG1ttahuk1aOzgv22yfai0jRlV5YEnLcBRg9CRziu4svDem29jbwQvdtHHEqoftkoyAMDo2K1mqajHlevUzi5uT5lp0Niis3+wbH1u//A2b/wCLo/sGx9bv/wADZv8A4usjQ0qK5/UbPQ9PltvtmpzWe5ztSTUZV83jGOX6AkHPrir39g2Prd/+Bs3/AMXQBpUVm/2DY+t3/wCBs3/xdH9g2Prd/wDgbN/8XQBpUVzGp/8ACN6ZeRpfaxNZsi7mie/lAcHgE5b1rV/sGx9bv/wNm/8Ai6ANKis3+wbH1u//AANm/wDi6P7BsfW7/wDA2b/4ugCzaX0N4ZVjLLJA5SSNxhlPbI9COQe4orDTwfbXV1NdXzXCs2EijivJflRScZYtkk5J9B0HckoA6Nd2wb8bsc46Zp1FFAFG/wD7W3p/Zws9uPn+0Fs59sVy+uWHiSfVLC8ns7K6EF3B5IhmkHlfN87Fdh69C2eAPc121FABRRRQBQv/AO1/NX+zhZeXt+b7QXzn2x2rndaW8nuLeBbCZb9Lu3mcQW+ba8wy/M0mMqEAPUg5A4YECuxooAKKKKAM++/tnzx/Z4sfK28+eX3Z/Dt0rnpZvtuvx6dc2clpFDcxXFxLDZykXlwApXa+3ARSFyxOTtxwASexooAKKKKAM69/tv7QfsAsPJwMeeX3Z79OKoHTPL8Y2GoC0UTy2cy3U8akgtmLauT24bA+vvXQUUAFFFFAGHr4kh1PR9QMMsttaTSGYQxtIybo2VW2qCTgnHA/iqXwtbTWnh63jnhaBy8kgiYYMatIzKpHYhSBjtWvRQAUUUUAZ2v2EGpaHd289uLgeUzLGRkMwBxx357U/REeLQdPjlVkkS1jVlYYIIUZBq9RQAUUUUAYXie+Onx2ksFg1zeGQrBN9neVbbKkM7BATjHGByc445It+HrW3stCtbe2eV41UnfNGY3YkksSpAIySTjFaVFABRRRQBjeIZEjijDQ3avIrol7aW4mktiQOgwxG7pnBHrjipfDUNxb+GtNgurcW00VsiNEP4MDAHU9sdzWpRQAUUUUAcp470/VtR0yaO0tYLq0S2kZoGkZXeXHyEAKd2OSBxlseldPbmU28ZnRUlKjeqNuAOOQDgZ/KpKKACiiigDjPGiSLrWmXMf9pI6RTJDLZgN85GQu3BO4lR1+XGc11dgbo6fbG9Ci6MS+eE6B8Ddj2zmqOr/8hTR/+vlv/RbVrUAFFFFAHGeKbW+XWrq6hF2Vn00Q2y29sJlklDOTHJlThTuXOcAjOTwK6+Hf5EfmqqybRuVegOOce1SUUAFFFFAGNrFvNqGr6ZYmNzZKz3NycHaxTb5aE/7zBsf7FbNFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAGTq/8AyFNH/wCvlv8A0W1a1RyW8M0kUkkas0TboyR904xkfgTUlABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAH/2Q==)
The representation of the solution on the Cartesian plane, it is a line parallel to y-axis passing through the point (5,0) is shown below
![](data:image/jpeg;base64,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)
Question 8.Write the equation of the line parallel to X-axis, and passing through the point
i) (0, –3)
ii) (0, 4)
iii) (2, –5)
iv) (3, 4)
Answer:i). We are given the co-ordinates of the Cartesian plane at (0,-3)
For the equation of the line parallel to x-axis, we assume the equation as a one variable equation independent of x containing y equal to -3
We get the equation,
y = -3
ii). We are given the co-ordinates of the Cartesian plane at (0,4)
For the equation of the line parallel to x-axis, we assume the equation as a one variable equation independent of x containing y equal to 4
We get the equation,
y = 4
iii). We are given the co-ordinates of the Cartesian plane at (2,-5)
For the equation of the line parallel to x-axis, we assume the equation as a one variable equation independent of x containing y equal to -5
We get the equation,
y = -5
iv). We are given the co-ordinates of the Cartesian plane at (3,4)
For the equation of the line parallel to x-axis, we assume the equation as a one variable equation independent of x containing y equal to 4
We get the equation,
y = 4
Question 9.Write the equation of the line parallel to Y-axis and passing through the point
i) (–4, 0)
ii) (2, 0)
iii) (3, 5)
iv) (–4, –3)
Answer:i). We are given the co-ordinates of the Cartesian plane at (-4,0)
For the equation of the line parallel to y-axis, we assume the equation as a one variable equation independent of y containing x equal to -4
We get the equation,
x = -4
ii). We are given the co-ordinates of the Cartesian plane at (2,0)
For the equation of the line parallel to y-axis, we assume the equation as a one variable equation independent of y containing x equal to 2
We get the equation,
x = 2
iii). We are given the co-ordinates of the Cartesian plane at (3,5)
For the equation of the line parallel to y-axis, we assume the equation as a one variable equation independent of y containing x equal to 3
We get the equation,
x = 3
iv). We are given the co-ordinates of the Cartesian plane at (-4,-3)
For the equation of the line parallel to y-axis, we assume the equation as a one variable equation independent of y containing x equal to -4
We get the equation,
x = -4
Question 10.Write the equation of three lines that are
(i) parallel to the X-axis
(ii) parallel to the Y-axis.
Answer:i). Equation of lines Parallel to x-axis
1: y = 4
2: y = -3
3: y = 8
ii). Equation of lines parallel to y-axis
1: x = 6
2: x = -2
3: x = 1
Question 1.
Give the graphical representation of the following equation.
a) On the number line and
b) On the Cartesian plane
x = 3
Answer:
We are given, x = 3
The representation of the solution on the number line, when equation is treated as an equation in one variable.
The representation of the solution on the Cartesian plane, it is parallel to y axis passing through-the point (2,0) is shown below
Question 2.
Give the graphical representation of the following equation.
a) On the number line and
b) On the Cartesian plane
y + 3 = 0
Answer:
We are given, y + 3 = 0
We get, y = -3
The representation of the solution on the number line, when equation is treated as an equation in one variable.
The representation of the solution on the Cartesian plane, it is parallel to y axis passing through-the point (0,-3) is shown below
Question 3.
Give the graphical representation of the following equation.
a) On the number line and
b) On the Cartesian plane
y = 4
Answer:
We are given, y = 4
The representation of the solution on the number line, when equation is treated as an equation in one variable.
The representation of the solution on the Cartesian plane, it is parallel to y axis passing through-the point (0,4) is shown below
Question 4.
Give the graphical representation of the following equation.
a) On the number line and
b) On the Cartesian plane
2x – 9 = 0
Answer:
We are given, 2x – 9 = 0
We get, 2x = 9 ⇒ x =
The representation of the solution on the number line, when equation is treated as an equation in one variable.
The representation of the solution on the Cartesian plane, it is parallel to y axis passing through-the point (,0) is shown below
Question 5.
Give the graphical representation of the following equation.
a) On the number line and
b) On the Cartesian plane
3x + 5 = 0
Answer:
We are given, 3x + 5 = 0
We get, 3x = -5 ⇒ x =
The representation of the solution on the number line, when equation is treated as an equation in one variable.
The representation of the solution on the Cartesian plane, it is parallel to y axis passing through-the point (,0) is shown below
Question 6.
Give the graphical representation of 2x - 11 = 0 as an equation in
i) one variable
ii) two variables
Answer:
We are given, 2x -11 = 0
We get,
2x = 11
x =
The representation of the solution on the number line, when equation is treated as an equation in one variable.
The representation of the solution on the Cartesian plane, it is parallel to y axis passing through-the point is shown below
Question 7.
Solve the equation 3x + 2 = 8x - 8 and represent the solution on
i) the number line
ii) the Cartesian plane
Answer:
We are given that, 3x + 2 = 8x - 8
We get,
3x – 8x = -8 – 2
⇒ -5x = -10
⇒ x =
⇒ x = 2
The representation of the solution on the number line, when given equation is treated as an equation in one variable.
The representation of the solution on the Cartesian plane, it is a line parallel to y-axis passing through the point (5,0) is shown below
Question 8.
Write the equation of the line parallel to X-axis, and passing through the point
i) (0, –3)
ii) (0, 4)
iii) (2, –5)
iv) (3, 4)
Answer:
i). We are given the co-ordinates of the Cartesian plane at (0,-3)
For the equation of the line parallel to x-axis, we assume the equation as a one variable equation independent of x containing y equal to -3
We get the equation,
y = -3
ii). We are given the co-ordinates of the Cartesian plane at (0,4)
For the equation of the line parallel to x-axis, we assume the equation as a one variable equation independent of x containing y equal to 4
We get the equation,
y = 4
iii). We are given the co-ordinates of the Cartesian plane at (2,-5)
For the equation of the line parallel to x-axis, we assume the equation as a one variable equation independent of x containing y equal to -5
We get the equation,
y = -5
iv). We are given the co-ordinates of the Cartesian plane at (3,4)
For the equation of the line parallel to x-axis, we assume the equation as a one variable equation independent of x containing y equal to 4
We get the equation,
y = 4
Question 9.
Write the equation of the line parallel to Y-axis and passing through the point
i) (–4, 0)
ii) (2, 0)
iii) (3, 5)
iv) (–4, –3)
Answer:
i). We are given the co-ordinates of the Cartesian plane at (-4,0)
For the equation of the line parallel to y-axis, we assume the equation as a one variable equation independent of y containing x equal to -4
We get the equation,
x = -4
ii). We are given the co-ordinates of the Cartesian plane at (2,0)
For the equation of the line parallel to y-axis, we assume the equation as a one variable equation independent of y containing x equal to 2
We get the equation,
x = 2
iii). We are given the co-ordinates of the Cartesian plane at (3,5)
For the equation of the line parallel to y-axis, we assume the equation as a one variable equation independent of y containing x equal to 3
We get the equation,
x = 3
iv). We are given the co-ordinates of the Cartesian plane at (-4,-3)
For the equation of the line parallel to y-axis, we assume the equation as a one variable equation independent of y containing x equal to -4
We get the equation,
x = -4
Question 10.
Write the equation of three lines that are
(i) parallel to the X-axis
(ii) parallel to the Y-axis.
Answer:
i). Equation of lines Parallel to x-axis
1: y = 4
2: y = -3
3: y = 8
ii). Equation of lines parallel to y-axis
1: x = 6
2: x = -2
3: x = 1