Maths-
General
Easy
Question
Rewrite the equation as a system of equations, and then use a graph to solve.
![4 x squared equals 2 x minus 5](data:image/png;base64,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)
Hint:
A set of equation can be solved by graphing them. Each points of intersection among the graphs are solutions for the given set. If there are no points of intersection, then there are no solutions for the set.
We are asked to rewrite the equation into a system of equation and then use a graph to solve.
The correct answer is: We are asked to rewrite the equation into a system of equation and then use a graph to solve.
Step 1 of 3:
Equate each side of the equation to a new variable, y. Thus, we have:
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y equals 4 x squared space space space space end cell row cell y equals 2 x minus 5 end cell end table](data:image/png;base64,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)
Step 2 of 3:
Find two coordinate points of the equation, y = 2x - 5
when x = 1,
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y equals 2 left parenthesis 1 right parenthesis minus 5 end cell row cell y equals 2 minus 5 space space space space space end cell row cell y equals negative 3 space space space space space space space space end cell end table space](data:image/png;base64,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)
when x = -1,
![table attributes columnalign right columnspacing 0em end attributes row cell straight y equals 2 left parenthesis negative 1 right parenthesis minus 5 end cell row cell straight y equals negative 2 minus 5 space space space space space end cell row cell straight y equals negative 7 space space space space space space space space space space space space end cell end table](data:image/png;base64,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)
The required points are, (1,-3) and (-1,-7)
Find three coordinate points of the equation, y = 4x2
when x = -1,
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y equals 4 x squared space space space space space space end cell row cell y equals 4 left parenthesis negative 1 right parenthesis squared end cell row cell y equals 4 left parenthesis 1 right parenthesis space space space space space space end cell row cell y equals 4 space space space space space space space space space space space end cell end table](data:image/png;base64,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)
when x = 1,
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y equals 4 x to the power of 2 space space end exponent end cell row cell y equals 4 left parenthesis 1 right parenthesis squared end cell row cell y equals 4 left parenthesis 1 right parenthesis space space space end cell row cell y equals 4 space space space space space space space end cell end table](data:image/png;base64,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)
when x =0,
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y equals 4 x squared space space end cell row cell y equals 4 left parenthesis 0 right parenthesis squared end cell row cell y equals 0 space space space space space space end cell end table](data:image/png;base64,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)
The required points are: (-1, 4),(1, 4) and (0, 0)
Step 3 of 3:
Draw the graph of the set of equations, corresponding to the found points.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAm4AAAJuCAYAAAAJqI4TAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAP+lSURBVHhe7J0HXBzJmfbXPp/DZ6/3ku07++5853M4+6Jvo8JqJa0yApQ3KGu12py0yjnngEA5gXLO5CxyEiAyEhkkgoTIIAHi/fqp6REINTAD0zWSeB+7ftrpbqame6qf+XdVvW+9QJKUm5tLMTEx1NjYqG6Rp9u3b1NkZCTdv39f3SJPd+/epfDwcKqurla3yFN+fj5t2bKFcnJy1C3yVFNTI877zp076hZ5evDggfi+b926pW6Rp4cPH9K1a9coOztb3aKfsour6P2twdRrvgf1XuBJX+yLoqDwaMrOzFCPkCO0s7fffpv+6q/+ig4ePKhulauc7EzaciKQ+i72prcWeVFfpRz0k3Md2Nvke1teXp7wNlx7WapKSabrH0ylyJG2FGZnQ9HjRlOd8jlkqrt4m5auX79ON27cUF/J1dmzZ+n06dPqK7m6efMmxcfHq68MYnDTWQxuDG56qaisjqY4hlJPBdzeXOhFH+4Ip4DQaMrJ6p7gtvZwwCNw66f8ezJYTrtnb3v+wa2poYFydu2kKADb2FEUPKAf5R7cL7bLFIMbgxvE4KazGNwY3PRSec0Dmr4znHrM86A+CqyM3xpMvsGR3RLcsrMyaZmznwJtBnB7e6kPXY6S0xvC3vb8g1tVSgrFTZ5A0aPsKXqkHYUo8HYnKVHdK08MbgxuEIObzmJwY3DTS/frG+mTPRH0xlx3ASuj1geSZ2AE5WZ3T3Cbv9dXXAdA7MBlPuRz/ba6V1+xtz3f4Nak3NM5O5xEb1vMuNEUbTuMwpYsojuVVeoR8sTgxuAGMbjpLAY3Bje91NTURF/sj3oEbsNW+pGbf3i3BbdvdvoIaEMZvNyXQlKL1b36ir3t+Qa3qrRUild722JG2lHUhPcp/PIlulNeoR4hTwxuDG4Qg5vOYnBjcNNTM51j6PU57mJuV/+l3nTJN5TysjPVvXL0NIBbVmYmferoTX0WKuCmlKEKxF7LKlX36iv2tucY3JSHo2ynbRQ1wpaix4ykawq8pWzeSBGxsXRHOX/ZYnBjcIMY3HQWgxuDm55acDSW3pjrIcANE/LPeIZSbjcEt0wF3KZt9hJBGgC3Yav8KLVATo8Ie9vzC26Y2xY/dZKY1xY9egRdnzSBSm+mU6Ryj7O3yRWDW7MY3HQWgxubm55afSZBRJUawe3IleBuC27j13uq4OZJw1f7U26JnHuOve35BLcm5fs0zG0bRjFjR1Pk8KFU4HKQapVrHREVxd4mWQxuzWJw01kMbmxuemrz5WSRw63vYi8Bb/svBFFOVvcEt9GrDWlR3lTAzXaNP5VU1Kl79RV72/MJblXJSRQ3ZaKht22UPcVNGk/3lXpxpdnb5IvBrVkMbjqLwY3NTU/t9koXk/ERnABw237mardMB3LjZibZrXCj3iq42a8NoMraenWvvmJve/7AramhnrJ3bqdI22EikjRi6EDKPbAPNzjV1tWxt1lBDG7NYnDTWQxubG566pB/huhtM4LbluOBlN0NwS0x9SYNX+b2qMft3c1BVH1fTnJU9rbnD9wQSYoeNsxri7IfTvHTplC18gMKsbcxuMkUgxuDmzSxuckxt9OhOdR/iSHpLJLPrjniT1ndcMmrmMQbNHSpCm4LPGn6jnCqfSDHa9jbnjNwQyTp9m0UPWI4xYwdJfK35ezcoe5kb2NwkyurghtuNHzp+PJlq7CwkKKiokSjl63S0lKKiIgQN7tsFRQU0NatW3V7Km1PtbW14rxh7rJVX18vvm/8qMkWcqvFxsZKg2W3mFs0YJnPI3Bb6uwncprJFNqZEdycnZ3VrXIVFn+DBi9xfQRuXx2IpgeNTepefcXeJt/b8LAAb8O1t7SqUlMMc9tG2VPUKDuKnzKB7t8qUPeyt1mjIwBKSEgQEGMNnTt3js6cOaO+kquMjAwBrS31QkNDA+ld8CSalZX16MlQ6xi9CurGTR4WFiYMBq+1jtOjoK7i4mIKCQmhiooK6XXjBtu0aZOYuC277srKSnHeRUVFUutGwfeM7xumLrtu/IDCWHGz6V13Y2MD+cQV0MDlPiIFBuBtzh5v5ak0Xdp5ox60s/79+wtw279/v/Rrjvq8I1JowCIDuCFYY+7hGKq9X0+NGsdbsqBu9jb53oZeH3gbrr3F6hbvo3yf27aK4VGsSYp/s3btIPSl4hjUxd6mv7dpFUBjamqq9LpRH3rbTp48aZW609LSxINhy+0vREdHk94FF/zKlSt0+PBhYXAYVtA6To+Cuj08PERPABo8LoDWcXoU1O3r6yuGj4KCgqTWja5VNzc3+uabb+jy5cuC2LWO06PgPIODg8V5+/j4iOugdZweBW0L37OLiwu5u7tLrxvtG+0c11zvuuNjY8jlcgj1W+ROPee6Uc95bjRp9Sm6cOECxcXKaWt4CnZ1daXXXnuNXnzxRVq8eLFoazLv8YT4a+R0RIG22efFNegxx5W+2O6rfBdRdC1G+28sVfAds7fJ9za0OXgbrj1eax1nbolR2vK1C+cp4r1xFG47jMJHDKcwzHFzd6No1T/Z2+R4m1Y5fvy46PmSXTfqW7duHa1du9YqdZ8/f56OHTsmXhv95QWQu94FT4WYE4CbDU9KWsfoVVA3TvTSpUviSQGvtY7To6Au/IhdvHhRULPMujF8hRsNP6S42TEnQus4PQrOMz09XZw3TFXmeaPge4a54OlQdt3ofQIw45rrXXdBfh55RabSoKVe1Hu+O/Ve4EFT1l8UPywFks4bQzYYNurduzf99Kc/Fb0gMtsayu1b+bTvfDC9OfeiuAY957nTsqORlJurtEWN4y1Z8B2zt8n3NrQ5eBuuPV5rHWduwb0bv2YVRdgMoUgF2MIHD6BUJ0fKU7bnqeeH82Rv09/btIqXlxddvXpVet2ob/fu3bRz506r1I0HI09Pz8e2S5vjBjOPi4tTX8lVSUmJIFV0O8pWeXm5uMmsMXkY818cHByEscmWsVu9rKxM3SJPmGuE7xtDOdaQ0dBlKKO4mmxX+4uks0gL8sEWbwUg5M5BQTsbMGCAGCo9dOiQulWuTgemUp/5V8RwMYZK93jLmwvD3ibf2/DAAG+z5CT9uhvplDB1sogkRe62eOW/azUCfdjb5HhbayUlJYmhcWsIoxjo7bOG8ECYmJiovjKIo0p1FkeVcuSVnioorSG7tQEiBQbmd723zoNu3Ox+UaXOXonUa87lR+B2KEBegAZ727MfVdqk3LdilQR7G5G3LdJmCOXs3SUiTFuLvY2jSmWK04EwuEkTm5sccyurqacR6xRwU2AF4DZylbsCbnIjr54GcNvtlkBvzDaAWy/lWpwNkxdJzd727IMb8rbFT54gIkmjR9hS/LTJVNuGb7K3MbjJFIMbg5s0sbnJMTfkKhu3KUj0MgHchi93o5Q0ueb2NIDbtovx9Nq3l0Qy4l7zPckjVt53z972jIMb8rY5OlCUAmzRY0YKcMvZ1Zy3rbXY2xjcZIrBjcFNmtjc5Jjb/fpGmuoY+gjckIQ2Lqn7gdv6s3H08kyAm7cCbh50NVneHCD2tmcb3KpSkil+6iTDmqSjR1DshPfofjvewd7G4CZTDG4MbtLUnc0NE5eRO0+GHjQ8pM/2Rj4CtyFLXCk8Ll3dK0dPA7gtPxlLf/7mEvVTwK2nAm4xGfKSo7K3Pbvg1qR8ZznbnSjKbhjFjDXMbcs7uF/dqy0GNwY3mWJwY3CTpu5sboh8wvcuQ/VKfbMPXRPghiS8Axe7UkB0qrpXjp4GcFt4NIb+9+uLAtww3y8xT17EH3vbswtulclJhlUS0Ns2yl6sT1qb0z6YMLgxuMkUgxuDmzR1V3OTrcaHTbTsZLwB3BZ50dsLr5BneIq6V46eBnCb5RxF//fNJRGcMGi5L6XdqlD36C/2tmcT3JoaGihn53aKtB0mIkkjhg6kvIP7RC9ce2JwY3CTKQY3Bjdp6u7ghnUc8TlaCjcfvo8VK1YII8DSOV0VshVsuJD0CNz6LbhCF4OT1b1yZG1wq294SF/ti6D/m3lJXAP7tQGUWVSl7tVf7G3PJrhVp6ZSHCJJsTqC/XCK/2AKVSs/kh2JwY3BTaYY3BjcpKm7mtu9e/do2bJlNGzYMLEclFF+fn7061//ml544YVHZdy4cSJ5bVe1wyNNgBt6m5CE9qR/krpHjqwNbpW19fTxrlB6eeZlQj67dzcHUd4defcbe9szCG6IJHXaJiJJY7AmqZ2N6H0zRQxuDG4yxeDG4CZN3dHcYGyrV68WUPb9739frOUIoWfNzs5ObP/Tn/5EM2bMoP/6r/8Sr+fOndvle8IlIOMRuPWee5lcvJuBUYasDW4lFfdpmlMwvTrrsrgOU51CqbCsVt2rv9jbnj1wq0pNobgphrxtUaPsRM9bnYkrzDC4MbjJFIMbg5s0dUdzQyTp7373O/rbv/1b2rt3rxguhUJDQ+nv/u7v6Be/+IVYmBrCEiYvv/wy/eY3vxFrPXZFZ0JzH4FbjzmXaY/bdXWPHFkb3PLu1tCELVfptVlXRCqQT/ZE0p1Kefc6e9uzB26it81+uKG3zd6GcvftVvd0LAY3BjeZYnBjcJOm7mhuWOz7Jz/5Cc2fP1/dYtDWrVtF75qtrS3V1jb3BKF3DsdjwequyC2mQIAbks9i9QAko5Upa4PbzduVNG5jAL0++wr1nOdB3zrHUHlNvbpXf7G3PVvgJiJJp06iqBZ52+oKTF9/k8GNwU2mGNwY3KSpO5rb7t276cc//jGdP39e3UKizY0fP16A2/Lly9WtBp08eZJ+8IMf0IEDB9QtnVNAUuEjcHt11iXacFbugufWBrek3DIascZPgFsPBdwWHoujmvsN6l79xd727IBbU0M95exojiSNRCSp8wGxVqmpYnBjcJMpBjcGN2nqjubm5OREP/zhD+nChQvqFsPwKeaz/ehHPxI9ci11/PhxAW5dhZ3ojLsquHmLyMoVJ2PVPXJkbXCLySiloSt8qMccV3p9rjutPpNA9Y2m/xB3Vextzw64iblt6pqkCEzAmqQ1mRnqXtPE4MbgJlMMbgxu0tQdze3UqVNi6BPz24wCrH33u9+lP/7xj+IGbKlvv/2WXnzxRXJzc1O3dE7J+WUC3JB8FqsHLDwSo+6RI2uDW0hqCb29xJN6znWl1+a405bLcvPYsbc9G+CGXrWcHVglwcbQ22YzhHL27jbk1DFDDG4MbjLF4MbgJk3d0dxgLL/61a+oX79+oqcN13/MmDFimHTq1KlUX98878rV1ZX+4R/+gf7t3/6ty8tj3bhdQW8v9RZDpQA3JKOVKWuDm19CIb053516zQO4udFOT7lLfrG3PRvgVpWm5m0bZS8Wko+fNolqc82HEAY3BjeZYnBjcJOm7mhuALPPPvtMgBp62P73f/9X/Dd64dzd3cUxRUVFIgXIz372M7Fv6dKl1NDQtflYWcVVZLvGXyx5hVxmX+6LECsqyJK1wc39WgG9NtuVes93o1dmuZGzv3lDX10Ve9szAG4t8rZFjxkpwC1n1w51p3licGNwkykGNwY3aequ5gYwmzZtGn3ve98TYPbLX/6SHBwcxGeCYHp/+MMfxD7kcysvLxfbu6L8uzU0blOQSD778reX6eNdYVQtcXK+tcHtfHgu/e83l+hNBdxenuVKp0Lltnf2tqcf3KqSkyl+6iTDmqSIJJ34HtXdMi1vW2sxuDG4yRSDG4ObNHVXc4PQ85aUlETBwcFiwfmWqqioENGnly9ffmzotCtCstnJjqFicfVXFHD7wDGE7krMY2ZtcDselE3/+7UB3DBUejEyT90jR+xtTze4Ye3R7O2Y2zZM5G3D3Lbcg/vUveaLwY3BTaYY3BjcpKk7g5tsAdI+2RMhAhSwesDErVepoLRG3au/rA1uB3wzxNy+3vPcxDXwjJP7vbO3Pd3gVpWSTHFTJhp620bZi3luNdmPP1CZIwY3BjeZYnBjcJMmBjd5QrLZmc4x1HO+h8hlhmS0mYXyFlm3Nrhtd0uj/5t5WUSVvr3UhwKSitQ9csTe9vSCW1NDg1iD1Ji3LWLoIMo9uJ+aHnb+u2JwY3CTKQY3Bjdpep7NDd/lnj17REJdLF1lVEhIiFhgfsWKFWYVfNauCMlmkXQWyWcBbiPX+lFyXtfnzpkqa4Lbw6Ym2nAxScztA7gNXeFH4Wly2xx729MLbiKSdNJ4Ma8NS1zFfzDF7LxtrcXgxuAmUwxuDG7S9DybG77TP//5zyLA4Ny5c+pWom3btolt5hZAYFf0oPEhrT6bSG/Mdac35riSzQofism8q+7VX9YEt/v1jbTidAK98u0VkYDXfm0AxWYZ1oiVJfa2pxTcEEm63VFEkhrXJM3euV3d2XkxuDG4yRSDG4ObND3P5lZVVUUbN26kzz//nOLimpeXCggIoE8++YQ+/vhjkwvSh6CnritC/lAknX19jrvodRqwxEskpZUla4JbVV09zT8SS6/NviJ6G8duvErJ+fJ6GyH2tqcT3KpTUylu6kTDKgmj7MTctlqlrXZVDG4MbjLF4MbgJk3Ps7k1KaSEYvzvp0G7PNPFqgFIQttngTv5Xi9U9+gva4JbWdUD+vpAlAJtrvTarCs0fmuIyGsnU+xtTye4ibxt9sMNvW12wyh3X9d6to1icGNwkykGNwY3aequ5tYZlZWVqf/Vebn4Z9Crs91EZOUbc13JNaZzOao6I2uCW0nFffpod7gYIkZE7TSnULp1r1bdK0fsbU8fuCFvW9zUSRQ10o5ikLdtwntUm9f+fDhTxeDG4CZTVgU33Gj40vHly1ZhYSFFRUWJRi9bpaWlFBERIW522SooKOjwqVQv1dbWivOGucsW8qPh+8aPmiyh583Hx4f8/PzULR0L38+cOXPoyJEj6pbO60xoLr08y03kMkOE5blwebnMcB7WArfbCqRNdgyhHnPcRA67T3ZHUGm1ZfLjmSr2NvneZnwoxbVvrdaRpJHDBlG+i9IuLfT9dDdvMwoeFxsba5WOACghIUFAjDWEucxnzpxRX8lVRkaGgNaWesE47KN3wZcdHR0tlvfR2q9nwdMJbrS6ujrN/XoWPJWFhYWJeVFa+/UsxqdSPCFp7dez4Ckc511SUqK5X8+C3gd83wAKrf2WLkZt2LCBfv7zn9PmzZtFW2tPvr6+9PLLL4vghH37Hk8GqlVHR+VydD69OttdgNv/fH2Jjl7NxBs9cZweBe2sJbhpHaNXySmpFvPaes5zo5dnXqIv90dRdZ1cj2Fvk+9teBg1jiY8tk+5fyqRt824JulIO7EmaXWG4Qf/sWM7WbqTt7Us6FFGzzKSimvt17ug1yk9PV1zn97F2OOmtU/vgl5GzKVuue0FbNC7gJQ9PDzo2LFj4skUX4DWcXoU1I2ekMOHD4snFZCr1nF6FNQdGBhIhw4dEje6zLqRud/Ly4u+/fZbsU5mMoYONI7To+A8MZSA88aEfVwHreP0KGhb+J7Ri+Xt7a1r3Xj6xHU1DhWdOHGCvvOd7wgYmzRpkjCZ1kIvBVKAAHJw3O9+9zvRRiA8TeOJEveIVn1tlbTk67TnQqgYLuwx+5ICbhdp5ZEgSk6Ip3iN4y1ZUlJSyNPTk15//XV68cUXRToUXBMZ93hKYjy5BUbToKWe9Mbsy/Rn5bynO/gq34vSBuO1/8bShb3NOt6GNgdvw7XHa7FP+QzXlX+vrVxO4TZDKFyBtrChgyhi+RKKU9pp6/fpTOku3ta6oG607+PHj4vfE5l1GwvA6dKlS9LrRn0IRsODuTXqxio7p06dEq+N/vICuuH0LiD0oKAgunjxoqDHzMxMzeP0KKgbxoKuTvzIyK4bTyjoYsUXILNu9LIhWnHBggV09epV8WSqdZweBeeJ/GY4b/RE4DpoHadHQd2pqani+w4NDdW1bkAWrquxdw3/7t+/n/7pn/5JQNl//ud/0vnz58U+CKY7aNAgsQ+A9+GHHwrIMQo9NuhBwT2iVV9bJT8nk075xtNbC9wVcFMA5ptLtOJoGGUr1yJT43hLFvR8YGmvnj170k9/+lNat26duCYy2npudiZ5hyfRWws9qOecK/S/Crh9uTuIsnDemdp/Y+nC3mYdb0Obg7fh2uO12Kf8m+ztRRHvjqWIEbYUYTuMoie+T5kKaGVYyP9wnt3B21oX1I32jXaO3xOZdRuLq6urGKmQXTfq2759Ozk5OVmlbky/uXLlinhtvM+kzXFD1y5I0RoqLi4WJoMfRtnCxHP8YHc0dKaHMA8CC5xjPohsoUsf533v3j11izxhrhG+byz4bg2hndvY2AhAQy/UvHnzaP369fTP//zPYhuGSNE7Z8k5UVEZ92joSj+RDgTJaDddSlX36C+0swEDBoheRBcXF3WrHCUXVNCbC7yU4i7WK0VON9lib5PvbXjAgbfh2rdU3o7thqWtxo6i6BHDKXf3TnWP5dSdvQ09PlrzCmUIPasAF2sID+AYLrWGAG8tE71DHFWqsziqtHtGleL8t27dSn/zN38jYA3lu9/9Ls2aNUtMKLe04rLvieSzSEKLZLTLT12nB/VyJstbM6o08sZd6jXfk96c707/N/MSbbiQpO6RJ/a2pyOqtBJD9FMnGcBt9AiKm/ge3b9l+ehqjirlqFKZ4nQgDG7S1N3BDcJ8jD/96U+PwO2v//qvxTwJPXooUgvKadzGq/TG7Cv06qwrNO9ILFXVyemFsSa4+ScWUq8FntRbAbfXZl0mJ3d5PY1GsbdZH9yalGsvVkmwG0YxY0dTpM0Qync+gD1ivyXF4MbgJlMMbgxu0tSdwS0tLY2++OIL+sEPfiCAbeDAgTRlyhR66aWXxOvBgweLeSKWVHZxFU10CBGrB2AVga8PRNO9ajkpIqwJblei8x+BW485V+igr/x0Aext1ge3quQkipsy0dDbNspe+e8JVJujD2AwuDG4yRSDG4ObNHVHc0P7QoQfIkUBaJisv2TJkkdzYTDB9JVXXnnU+4YITEvNVUE+sw+2h4kktIgu/WhXBBWXy5l7ZE1wOxWSQ70VcOs1z5B8+GSw/B8V9jbrgVueOsetZd62iGEDKe/gfmpq1GeqAIMbg5tMMbgxuElTdzQ3pIT43ve+J8Ds1VdfFelYWgv3AdYzxXw3HNe7d2+RVqSrKq26T5/uiRBJaDHPbdK2ECoolZMY1Zrg5uyf8Qjc3lroTpei5E+cZm+zHrjlKw8+D7KyKG7SeDGvDUtcxX8whWoyM9QjLS8GNwY3mWJwY3CTpu5obki8+5Of/IS+/PJLce3bEgwQeXmMPXOWgJ2a+430zcFoennmZeo5143Gbroqhk9lyJrgtsMjTYAbEvC+vdiDfCSu0WoUe5uVwG3rVnHtb+/bTVEjbA1rktrbUM4uy0eSthSDG4ObTDG4MbhJU3c0NwyFAsiQ2doUISfT5MmT6cABTKLumhqVOucevkb/980l0ftku8afbtyqUPfqK2uB28OHTSKKVICbAquDlnpRWFqJulee2Nus421bnZwoydODUj6aLua1RWFu2+QJdL9VihBLi8GNwU2mGNwY3KSpO5obVj4wV/isWE3BElpyIl4k38VE/beX+lBSXtcXrzdF1gK3hsYmWnYyXoBbDwXchq3wprhsy1xLc8TeZoUeNwXOHBVwC543h+LHjjL0ttnZUO6+PeoR+onBjcFNphjcGNykqbuaW2eERastodVnE8RyV0hGi9xmsVlyEoRaC9zqGx7SnEMxyvkC3FzJdpUPpUvqZWwp9jb53pZTWEgHly2lsHfGUOyYkWJ+W+zE96guX/85jgxuDG4yxeDG4CZN3RncsOg2lik5evQobdq0SSwDpVXWrl1LM2bMeGxZrK5o06VkkYQW4NZzngeFp8m59tYCt/v1jfTZ3kh6c6GniKQdscaX8u/KCchoKfY2+d5WoLS5cx9MpWg7G7qmwFvk0EGUd+ggNT3U/ztgcGNwkykGNwY3aequ5oYbbNiwYSJIAYEHphRLwc4uz3SRww1DpT3ne5CvpIn61gK32vsNNNUpVIDb6wq4jV7nT6VVcnLXtRR7m3xvK1Gut8+wwRSJvG1K0TuStKUY3BjcZIrBjcFNmrqjueE7Hj9+vIAxJN/9t3/7N1G+//3v049//GP67W9/KyJJkcMNx+A1crlZyggP+WeIIcPe890EuF2OlrNGrbXArVoBt3GbggzgNtuVxm3wp7oH8v2FvU2ytz1sokxHBwoc0I8iR4+gyOFDKXffbiITg4K6KgY3BjeZYnBjcJOm7mhuOF+sTfr3f//3dPHiRRGsUF5eTv379xd53XAPYLkrf39/6tGjB/37v/+7iCy1lE6H5tCbCrQhqhRz3E6GyPnerQVu5dUPyG5tgAJuXgLcJmwJ1GGBo47F3ibX26rT0ihmwnsUOGQghdsOE71ttbnyPI7BjcFNphjcGNykqTua26FDh0RP2+LFi9UtBn399df0s5/9jOLi4tQtRAkJCfSHP/xB5HxraLDMmqKuMQXUb6GHyGmGZaAO+MoZOrIWuBXcraHhq/2pjwJumOM23SlI3SNX7G0Sva2piXKctlG43TAKHDqIIhRwy92zS90pRwxuDG4yxeDG4CZN3dHcnJycBLidOXNG3WKQi4uLGCoF2LXUzJkzxVCqpXrdsOD6gCWGnGZIkeHolipl9Mha4JZWUEHDVvo9Arcvdgere+SKvU2et1WlJNP1aZMpws5G9LhFvzeO6m7Lvc8Z3BjcZIrBjcFNmrqjue3atUsEJbi5ualbDPL19RXbW/fEAeSwnumFCxfULV1TePodGrzMS+Q0A7itO5dIjQ/1Jzdrgdu1jFIassKX+iwygNucAyHqHrlib5PjbU3K9c3Z4SQiSSNHjaDA/m9RzoF96l55YnBjcJMpBjcGN2nqjuaGnjaA2O7du9UtBsHs/uEf/oGmT5/+2KoKMAL00O3fv1/d0jUl5JSRzUpvQ4CCAm6Lj8dTvU4LbbeUtcAtMLmIBi03gBvWZ11yOFTdI1fsbXK8rSo5ieKmTFRXSbAjr2GD6Y6yTbYY3BjcZIrBjcFNmrqjuWGx+F/84hdkY2NDZWXNqxag7f/Hf/yHCEhAsIJRa9asob/8y798Ygi1s8oorCT71b6i9wlJab91jhG5zvSWtcDNLaaABiz1obcUcOupwOrak+HqHrlib9Pf25oaGihnpxNF2g4TedtilH9Pz5hOObf0Xd5KSwxuDG4yxeDG4CZN3dHcEDE6ZcoUkepj1KhR5OPjIz4Lyrhx4+g73/mO+D7wvQQEBAiYQw8d/tsSunWvlkat8zOA20JP+mRPJNVKSI9hLXBDFG3/Jd6PwM3hbIS6R67Y2/T3tuq0VIqbNN6wQoJSQhR427dqJWXfuq0eIU8MbgxuMsXgxuAmTd3V3BITE+n//u//BLz913/9F+XlGZbgcXV1pR/+8Idi+29+8xv60Y9+JP570KBBdO+eZZamQnqMcRv9RWoMgNukbSFUVWeZiNX2ZC1wO+h3k/ou9hLg1ksBtz2Xo9Q9csXeprO3NTVRttM2ihphK9YkxdqkQQvmkcOuXZSr3l8yxeDG4CZTDG4MbtLUXc0NSktLo2+++YY+/fTTR+ePz7RhwwbRwwZgQ3nllVfEPWEpIRBh/OZAsXoCIi1Hrg+gilr9VxKwFrg5uaUp5+mpwJs39Z7nSoc9otU9csXepq+3VaWmtJjbZk/JM6bRjfAw2uroKK69bDG4MbjJFIMbg5s0dWdwMwo9aS3bOwITcA8cOXJEJOgtKLD8/Jwp24IegZvNKj8qqahT9+gna4Hb2nOJIl+dEdzO+FxT98gVe5u+3iZ62+yHi962KDsbKjrsQgW3C2nL1q0MbhLF4MbgJlUMbgxusgQ4s0Y7M+qTncH0ugpuyHGWXVSl7tFP1gK3BcdixWL6Atzmu9GVq7HqHrlib9PP2xBJGj91MkVhTdLRIyhu4vvUeKeYbpWUCG9jcJMnBjcGN6licGNwkyW07+TkZCouLla3yNW3+0IM4LbIS+Q4S8htjm7VS9YCt2+co+n1ue4C3LDUl2/Y4+YmS+xt+nibiCTdsV1EksaMG02RQwdRvouhfRUo9zaDm1wxuDG4SRWDG4ObLMHcoqOjKTMzU90iV4sOhYmcZpiwP2iZD4Wllah79JM1wO1hUxN9ujeS3lDB7e3F7hQYweAmU3p7m5jbNnmCYW7bCFuxJmlNpmEZNwT9MLjJFYMbg5tUMbgxuMmStc1t1bFwkYAX4DZAATefeP3TJVgD3GruN9CHO5VzneehnKs3DV/hQcFRDG4ypae3NT1spOwdjmJOm+htGz6Ucvc2J7ZmcGNwkykGNzY3aWJws465oZ1by9w2n40SOc0Abv2XetOFCP3TJVgD3O5U3qcpjqGPwG3MWi8Ki7mu7pUr9jbLe5vI24bettEjKBq9bdMmU21eM6QxuDG4yVS3BTfcaPjS8eXLVmFhIUVFRYlGL1ulpaUUEREhbnbZQtTiVitFXtXW1orzhrnLVn19vfi+8aMmWwhOSEpKoqysLHWLXO26FE295hnAre8Sbzp6Vf/PgXZmBDdnZ2d1q77Ku1ND47cEU6/5HtRHAbeJm3woMjZR3StX7G2W9zZj3rboMSMFuOW16G2D8LAAb8O1l63u7G1YHcYaHQFQQkKCgBhr6Ny5c2JJQ2soIyNDQGtLvYCEoXqXlJQUkUX+1KlT4gPgh03rOD0K6kZm+uPHj4tGh4njWsfpUVB3SEgIHTt2TNxsMutGLjE/Pz+aPXs2eXt7U3p6uuZxehScJ+Z54byDg4PFddA6To+CtoXv+cSJE+Tv76973biurX+40PuBpa0QoACjwWfQu80nJSntLTmR1uy/Qm/MvkS957srAOdGK46EUGpKEiVp/I0lCs4fi+i/8cYb9OKLL9LKlSvFNj3PN005H7ersWS30rBGaU8F3t5deYFOnb1Aycp1kO0v7G0W8jbl2iUpbSfZw4Mix79L4XY2FKFAWziS7ir3cmJqqjgO3oY2B2/DtcfrJ95Lp9KdvK1lQd1o32jnXl5eUus2FsATEpnLrhv1oXd38+bNVqnbzc1N9PjhtdFfXkhVbga9C4wcEIHKUbHWMXoV1B0UFPTIWHGTax2nR0Hd6FLHjYYncpl1Axhg6nPnzhUmh9dax+lRcJ5GgwkLCxPXQes4vYrRYK5evapr3bipcF3xBA5hyauWwtAZhpHwdIxrguO13sdSJT0tlbYdcaOeKrj1VMBt/sEgupGufbwlCp4G0c6wDiuSC69evVr3tnbzRiqd94ulocs8xTkiJciUtRfp/MXLlJaq7zVuXdjbLOttKSmpFL10CYXbDKaIUfYUNmQgJWzdZHh/tQ60L4ALvA3Xnr1NTgG0op3j90R23SjIfemhQL3sulGfg4OD6OG1Rt2enp504cKFx7ZLGypF1zYaPLpbZauoqEg8JaGbWbaQhBVzEow/7jKFeRDWGk4AxOC8MZwiWw0NDeL7xjCSTMFY0AsAY8NnsIauXI2nPvNdRaQlktMuO6X/vC+0swEDBoihUhcXF3WrvgpLv0vDV/uLlRN6L/Si2Xv9lSfRZHWvXLG3Wc7bapWHj+vTJolIUpT4KZOoNufJOVXGaSC49rLVHb3NqLi4OKtMvYHQ04QHRWvo/PnzAlqtIWQowDBxS3Fwgs7i4ITuM4HXyclJLGWFNUnfeust2rhxo/TJtN5hADc3AW6YuD/LxXJLarUltDPZwQmIlh203FfM5eu1wIsWHwwgDBdbQ+xtlvE2kbdt53aKsjPkbYsYOojyDh7ArHj1iGZxcAIHJ8gUoI2jSiWLwY3BTYYwjPLFF1/QP/7jPz5aj/QnP/kJjR49Wtz4MnoHgqKu01sLDOCGHGef7olU9+gna4Dbpag85RwNC8z3VMBtzZGrlJKcpO6VK/Y2y3hbFSJJJ40XkaRY4ir+g6mP8ra1FoMbg5tMMbixuUkTg5t8c4MwhHTy5EkaP348/cu//MsjiPv1r38t5uVgnkZlZaV6tGUVGn2dhiw1JKVFjxtynT1o0Dfa0RrgdiI4i3rNxzqlCrjN96ItJ4MoPYXBTaYs6m1NTZS93VFEkoo1SRVwy9m1U935pBjcGNxkisGNzU2aGNysA24thYmke/bsoXHjxtEPfvCDRxAH0Fm1apUwI0sq/FoCjVzlKXKbiUn7jqF0r1rfVBHWALcDvjfptdnu1H+JAqgKuO08G0I306wzx429reveJlZJmDKRorBKglKQw62uoEDd+6QY3BjcZIrBjc1NmhjcrGNu+M7xGVoKE5oRdXj06FEaNWoUff/73xcA96tf/YqGDBkiUjqUlHR9eaqo2AR6b4OXyG2GHGfjtwbTrVJ9cwhaA9y2u6fRy7NcqZ8Cbr0WeNOBS6GUmc7gJlOW9DaRt81+uKG3zc6G8vbvVfdoi8GNwU2mGNzY3KSJwU2+uaF9IwqooqJC3fK4cBMiB5S9vf2j3jdj+dd//Vdav359lxaoj4lLpGlbfAzgtsCTxm28Sjdva38WS8ka4LbpYjK9Mgtz+bzo7aW+dMw9nDLSeKhUpizlbVXJyRQ/dTJFjbSjmNEjKHbi+1SngFl7YnBjcJMpBjc2N2licJNvblpC20eajClTptAvf/nLR6D2xz/+kb766ivatm0bffLJJ/RP//RPYjt64Dq78kJcfCJ95uRDby70ojcVcBu5LoDis++pe/WRbHBD1o2VpxPo1dlu9JZynjarA+iMdyTdZHCTKkt4W1O9IZI00rZFJKnLQbFWaXticGNwkykGNzY3aWJwsx64lZWVidw/77//Pv3+979/BGvf/e53RZQphkxbmxBy9QDacNyiRYuEUZqr6wlJ9O0uP5Hb7M2FnjR8tR+FpXZ9CLY9yQa3+/UPaeGxOHp9rrs4xzGbgulyQAylp3A6EJmyhLeJuW2T1UhSsSbplDYjSVuKwY3BTaYY3NjcpInBTa65AdYCAwNp5syZ9Jvf/OYRrP3lX/4lvfLKK7R27Voxz629hKXIko2lowYOHEhVVVXqVtOFZYMWHvAX4NZHKYOX+5LvdX2TdcoGt/KaeprpHCPSnfRe4EkTtoWRV0gcpTG4SVVXva1JuV7ZOxwpyt5G9LZFDh9Kua3WJG1LDG4MbjLF4MbmJk0MbnLNbd++fY9gDeU//uM/6LPPPhPrKZra9rDqwne+8x0aOnRopzLSI5fZqsOBIiktcpwh6vJSlL7542SDW3FFHX2yJ0KkO0FKkA93RVJgxHVKTWZwk6muelt1WoohbxtWSRC9bZOp1kQQY3BjcJMpBjc2N2licJNrbpir9otf/IImTpxIR44c6dSPCgIbkD4kNDRU3WKe0lKTadOJqyIpLSbuY57byWB9jVY2uOXfraGp20MFtAHevtgfQ+HXkigl6fFlYWSJva0T3oa8bY4OYng0esxIQ9623bvUnR2LwY3BTaYY3NjcpInBTZ65YZ1KrKOHeWrWWDfSKOQy23k2WCSl7bfYW8wDQ84zPSUb3DIKK+m9LUFimBTDpXMOx1FsQgolJzK4yVRXvA2RpHFTJ1P0SDsxvw2RpLUFpvcMM7gxuMkUgxubmzQxuMk3N2sr60YKOV8OEeCGYVLkOnN0S1X36iPZ4JacX04j1gaKwASA6ZKTCZSUmkZJifovqK8l9jbzvE3MbcMqCXbq3DabIYY1Sc1YpJ/BjcFNphjc2NykicFNvrmh5w3tzRrnDSEJ7VG3MOq3xEf0uL08y402XtQ3Ma1scIvNukdDVviK4IvX5rjT2vPJwtwSFWO3htjbzPM20ds2ZYJYIQE9bvFTJlKtmTDA4MbgJlMMbmxu0sTgZh1zi46OFnPVrKGMtGQ67RVJQ1cFiOAE5DpbeUZfoJENbuHpJdRnkWGdUiTh3eqaRvk5WYqxP25ussTeZrq3NTXUP5a3LXLYIMo7sJ+alPvGHDG4MbjJFIMbm5s0Mbh1P3NDEtrL/tE0emOQ6JF6fY47LTgWq+tC87LBLTCpiF6b4/ZoKHi3dwaV3Mp9wtxkib3NdG+rSk01RJIib5v9cIqfPpVqOvGQw+DG4CZTDG5sbtLE4Nb9zO1GahJ5Bl+j8Q6hYg4YJu/PdI6milr9AiZkg5v7tQIxRIqhYPzrEpitgFsOg5tkme1tiCTdvk1Ekoo1SUUk6U51p3licGNwkykGNzY3aWJw637mhiS0AeHxNH1npFhkvuc8D/p0bySVVOjX9mWD29nwXNGTiKFSrMd6OiyPigoY3GTLXG8TqyRMmSjmtqHgv+sKCtS95onBjcFNphjc2NykicGt+5kbktCGxSTQFwdiBLQB3pDzDLnP9JJscDsUkCF6EjGHr98Sb3K9dpsK87MZ3CTLXG8Tedvshxt62+xsKO/APnWP+WJwY3CTKQY3NjdpYnDrfuaWkpRIMfFJNOdInEhOi1xnyHmG3Gd6STa47fJIF+DWRwG3Qct9yT+pmG7nMbjJljneVpWcRPFTJ1GUmrcN89zq8vPUveaLwY3BTaYY3NjcpInBrfuZW7ICbonJqbT0ZIJhEXYF3EasC6CkvDL1CMtLJrg1PmyiTReTRW9in4WeZLPKjyJu3KVbDG7qFnky1dse1reKJB06iPJdnM2OJG0pBjcGN5licGNzkyYGt+5nbomJCXQj/Qatu5AiUoFgOBE5z2Iy76pHWF4ywe1+fSMtP3mdes439CaOVKA0IbdcpANhcJMrU72tKiWF4iZjTdIRIjAh/oMpnYokbSkGNwY3mWJwY3OTJga3bghuCdcpJyuDHFzT6RUF3DCBHyUsrUQ9wvKSCW419xtozuFrYp1SBCaM23SVMoqqKY/BTd0iT6Z4G3rVsnc4UZS9DcWMHU2Rw4dS7t7d6t7Oi8GNwU2mGNzY3KSJwa37mVuCYm6FeVm0xydD5DjrL9Yr9aCAxCL1CMtLJrhV1NTTZ3sjRW8bAi/Gbw2m22X3KTc7k8FNskzxtuq0VIqbPKG5t23aFKrN7fzcNqMY3BjcZIrBjc1Nmhjcuqe5FRdk0+HAbDFUiiS16Hlzj+lc2gVTJBPcSqvu02THEJGjDsEXU5xCqby2kbKzMhjcJKtDb0PeNkSSKsAWPWakiCjN3bNL3dk1MbgxuMkUgxubmzQxuHVPc0NqjLPh+WI4EcOkSFJ7OlS/NiAT3IrL62jMhkCxKgTAbcaucKp/SJSVyeAmWx15W1VKEsVNmSTWIxWRpBPfp7pblnmAYHBjcJMpBjc2N2licOue5nY7L4vcYwup3xIvEZyAZLXOfhnqEZaXTHC7fa+WhqzwE+eFlCAYNoUyMxjcZKs9b2tSroWY22anRpLaDKF8F6VtNDWpR3RNDG4MbjLVbcGtoKCAYmNj1VdyVVxcLBb+bmhoULfIU1lZmbjR6urq1C3yBFN3cHAQP6yyhR8SnPe9e/fULfKEH1B830VF+s3rak9xcXHih8UaSkxMpMKCHApKvUuDV/iqgONBOz3S1SMsL7SzAQMGCHBzcXFRt+qjnJIaenuJj+G85nnQ7MPXxPbs7CxKSEgQ/y1b7G1Pelt1SjLFTZ1E0aPsRUmYNpnu51kOsgAu8DZce9lib7Oet2V2MRq5szp//ryAN2soK+tJb3shPT2d9C4gxoCAADp37hylpqYKatY6To+CukNCQgQt44uXXTdu8FOnTokGL7NuNPCrV6/SvHnzyN/fX7zWOk6PgvPEEwLOOyIiQlwHreP0KKg7KSmJzpw5Q8HBwdLrRvvGTY5rLrNuY7l8+TJd9feh8wHXafBST+o5z41em+1G851DKCVVaZM3tP+uswWmgnbWo0cP+ulPf0pr1qwRbU2Ptp5x8wZdDoqntxa4U+/57vTGHDeaufcqZWdmkI+3N126dEkcJ/M+w3fM3tbC25TtN5TrkLBuDYXbDKGI0SMofMgAilm/ltIys554n84UtK/AwEDhbbj27G36F9T9NHibl5eX9LpRn6OjI23bts0qdXtreNsLIDm9CxobLviJEyfETa51jF4Fdfv5+dHRo0fFcAYMTus4PQrqDgoKoiNHjoibXGbdKSkp5OPjQ7NmzSJPT09x02kdp0fBecLUcd74Ucd10DpOr4Lv+dixY+Tr6yu9bpj6yZMnxTWXXTcKngq9PFzpon8sDVvuST3mutHrs13p853+FB0bT0mJ2n/X2ZKWliaM5fXXX6cXX3yRli9frltbS05KoEOu4fTmfDfqrQApoHTBwSBKT00mN1dX8YOm9Xd6FnzH7G0tvE3xndjLlyhs7CiKsB9O4cOHUuTE9ynR14cSlLbS+n06U+BtaHPwNlx7vNY6To/C3mZdb7ty5Yr0ulHf5s2badOmTVap21XD26QNlaJ7FePjGCeXrcLCQoqKihLzA2SrtLRUGBvmRcgWhhGsNQ+ktrZWnDfmwchWfX29+L4xhCdbTU1NYtjMGvMKIdzUSI2RWVxN72wOepQ2Y9aha1R9X5/hNLQzWXPc3K4VUL/Fhrl7KPt9bortmOOGOTDWEHtbC29rIsrZ7kjRI2wNa5Iq8Jaze6e603Iyzt+1xrAde5v1vA09UNaQNee4ZWh4m/TgBGuYm3ECrzXMzTiB1xrgZs3gBJibtSbwwtzwfVtjAi/MzdoTeJGAt7D8AU3cFiKWhgK8fbo3kspr6tWjLCuZwQknQ7IFsCGqFAvMnwwxtO0MxdBbT+CVJfa2Zm+rTk2huCkTxby2KKXETZlAdTrMQwOwWfOhlL1Nvjg4oVkcVaqz2ou80lvWBDeOvLKeuWVl3qSKukb6YEeYSJmBnGeTFIi7U6FP+5cJbuhhw+LyALcBS33ITc1Pp2VussTe1uxt2U7bRC+b6G2zs6G8A3vVPZaVNcGNvY3BTaYY3BjcpInNzXrmlplxkxoeEn2yO0KkzMBi7KPXB1JRmT6RzTLBbeuVFHE+ALdBy3woOLlYbGdws763VSUnUfzUSRQ10o5iRo+g2EnvU22+PkOZDG4MbjLF4MbgJk0Mbt3T3G6q5vbVgWiRw63vIgVylvtQwV19hutlgtvyU9eptwA3Txqy0o9is0rFdgY363lbLepWzh152yJtDXnbIoYOojyXg9T0UJ9rwuDG4CZTDG4MbtLE4Na9zW3ekVjR4wZw67fYm27crhTbLS2Z4DbLOUbM2QO42azyo5vqOTG4WRHclPOuvZFuWJN0tLom6fQpVJOpX9JnBjcGN5licGNwkyYGt+5tbqvPJlLP+R5iMj8iMWMyDb1TlpZMcPtoZ7iIksW8veGr/R8N/zK4WcfbIpS6q6uqKG/Xjkdz2yJth1Luvt3qUfqIwY3BTaYY3BjcpInBrXubm6NbGr25wFOAG9YsDUjSJ9u6LHBraGyiiQ4hAkYBbiPWBVBlrSFSlsHNSuAWc42KrkWLlREe9bZ9MJlq8/UFKgY3BjeZYnBjcJMmBrfubW7OfhmP8p2hXI7WZ+kzWeBWXvOA3tsSZOhxU4B0okMwVd83+AmDmxW87d490eOWvH4tXcPSVmNGUvSI4ZS7d5d6hH5icGNwkykGNwY3aWJw697mdi4sl/ov8RYRmEihcfRqlthuackCt4LSGhqz8aqY4wZw+3RPJNXVM7hZy9tKKysp/PQpip74PsWMVsBt9AiKmzSe7t/Sf/1QBjcGN5licGNwkyYGt+5tbl5xt2ngMh8DuC30pJ2eaWK7pSUL3FILKsTwKMANZe7ha/QAeU8UMbhZAdxKSyl04TyKtrehmLGjKdJmCOU5H1D36isGNwY3mWJwY3CTJga37m1uYWklNGS5r4A29FCtP58ktltassAtJuMu2a72E+cCcFt5+jo1NDK4Wcvb7ijtPATDoxgmVQpyuNVmZ6p79RWDG4ObTDG4MbhJE4Nb9za3xNwyslmpgI4CbgCdRcfixHZLSxa4Ibhi6AoDiOJ8HK6kUFOTYR+Dm1xva2pooKztjhQyZCBFI5J02GDKO7ifmpT2L0MMbgxuMsXgxuAmTQxu3dvcskuqyXa1/yNw+3J/lFhv0NKSBW5XYgoeDf3ifA74Nps4g5tcb6tOS6VrE96jMDsbilRK/PSpVJMlp7cNYnBjcJMpBjcGN2licOve5lZa9YDs1wYIcOs135OmOIUqn+/ZBTcsKI9EwoiQ7aWA26nQ5mvM4CbR2xT4z97uSBEKsIXZDxfglrtnp7pTjhjcGNxkisGNwU2aGNy6t7nVPmiksRuvijlhALf3NgdRnbLN0pIFbvt9bwoIxUoQSAniHtv8/TK4yfO2qtQUMZ8tcoQthQ4fSrGTJ1Bdgf6RpC3F4MbgJlMMbgxu0sTg1r3NDakypm0PezSZHxBXUmH5heZlgRvmtIklvBYbwC0ktUTdw+Am09uynbaJVRKiRo+g0KEDKXf/XnWPPDG4MbjJFIMbg5s0Mbh1b3NDqoyvD0Q/AreR6wMps8jy65XKArdVZxLo1dluYrgU4BaX3byEF4ObHG+rSk4WvW3RI+0oapQ9hY0dRVUS57YZxeDG4CZTDG4MbtLE4Na9za2xsYkWH48X0AZ4s1sTQNezy8Q+S0oWuC06HifAra8Cbv2WeFFqQbm6h8FNhrchkjR753aKtB1GMeNGU5TNYIpYvZJq6izfi9uRGNwY3GSKwY3BTZoY3Lq3uSGAdMOFJAFuWDnBZpU/haY1Dy9aSjLADeuUzjoUQ6/PcRfnYrvGjzIKq9S9DG4yvA1z2+ImTxArJMSMsqOoie9T1OVLVNMg/7wZ3BjcZIrBjcFNmhjcuqe5paenq6+Idnumi962N+d70NuLvcj9WvuTyHGv4D1SUlKoqqoZjNqTDHCrrG2gL/ZFiTluCFB4d3MQ5d1pvqcY3PT1NuRny97hKOa2xYwdRddG2lLcutUUFX+dqpV7XbYY3BjcZIrBjcFNmhjcup+5xcXFUUZGhvqK6Hhwjuhx+5/PT9H/fHaCjgXeVPc8rrKyMlqzZg395je/oRdeeEGUoUOHkre3t3pE25IBbkVldfThznDqMc9DnM8H28PENqMY3PT1tqrU1Ee9bdEjbClpxgeUH3uNIpS2bg1vY3BjcJMpBjcGN2licOt+5lZUVPRYW3O7dpv+98sz9PsPXOg/PjlOe71S1T3NwvGfffYZ/cVf/AVNnTqVdu/eTevXr6c//OEP9Nd//dfk7u6uHqktGeCWVVxFEx1CRFBCTwXekEz4XtUDdS+Dm67ehrxtjg4UNWI4RY8ZqfxrS7cO7qN7WGQ+IoLBTaIY3BjcIAY3ncXgxuZmLeVmZ9LU2evpt9Nc6A/TXeiPHx2nrZeeXK/0/Pnz9P/+3/+jb7/9Vnx+o2CUf/zjH6lPnz5UUtL23DgZ4JaSXy7SmaC3Db1u847EUnVdg7qXwU1Pb6tKTqI4NZIUPW6xk96nBuUBQYCblbyNwY3BTaYY3BjcpInBrXuCG+6x48eP07/+8z/Sz3//Gr38zQX6z0+O0W+nHxULs7cUrtV7771HP/vZz8S8ttZCz9tPfvITunDhgrrlSckAt2uZd8lujWH5LsxzW3k6gerVBeYhBjd9vK1JOScxt83OhmLGjqZImyGU53xA7Cu9d4/BTbIY3BjcIAY3ncXgxuYmW8XFxfTOO+/Q1Inj6ehFP+q7xEcBt+P0bx8coQVHY9WjDMJ9iSHRIUOGaLZRDJO+9NJLtGzZMnXLk5IBbsHJxTRouWGd0tfnuNGWy8nUcvEuBjd9vE30tk2ZKHK2occNPW+12VlinzW9jcGNwU2mGNwY3KSJwa17gltdXZ34YYOKlWY3eLk3/emjo6LHbaZzND1ssdA8PuuvfvUrMbdN695MSEigv/3bv6VJkyZRQ0Pz0GRLyQA3r/jb1GeRp1g14ZXZbrTH63EDZ3CzvLe1ztsWMWwQ5R7cJyJMIQY39jaZYnBrFoObzmJwY3OzpvLv1tDodf70xxlH6XcfHqXP9kZQ9f1mAAsICBBgNmvWLHXL40pLSxPDqOjBw3XVkgxwuxSVT6/NcRerJrw8y42OBhp6fYxicLO8t4lI0knjxbw2pAGJnz6VarKaI5YZ3NjbZIrBrVnSwA0NzVrGionVaHDWMNby8nKKioqyCjQWFhaSg4MDFUheABqCweC8kWZCtmAw+CHFkKE1BIMBzDwNKi6/T5McgujfZxyh3yvgNn1HKJVUNLdFPz8/AW5z585VtzyuVOXHG+CGeXBtgRva2YABAwS4HTp0SN1qWZ0OzVOAzZX6L/GmV+e40cXox9s0fkySkp4MvJCh59XbcrY7ighS5G2LHmmIJG0pa3obgBXeZg2AYW+zjrclJydTVtbjD2yyhDm+586dU1/JlZa3vYDeGL0Lno7CwsLoypUr4sLjKUnrOD0K6sZNdvHiRUHrsutGXi186Zj4LbNu3FwRERG0aNEiCg0NFfCmdZweBeeJH3ycd2xsrLgOWsfpUVA3nlAuXboknkxl1432jXYeEhIitW4U9IDge8ZNjrrraqqprKaePt0dTr+ffoT+/aNjNGFrMGUXI7GuYbjU39//MXBramqi0tJS0asAGXvc3n333Ufghh8smAnqRH3ofejVqxf99Kc/pY0bN4ptlmrrublKW87LpU1no+nlb13pzQVIB+JOR7zi6XaBoQ6ca2BgoJiPZ/gbuff4c+dtyveXdTWQYia8RxEKuEViQfnx79KNiDDKUds06ramt6HNwdtw7fFa6zg9Cs6TvU2+t6F4eHiIEQLZdaO+Xbt20Y4dO6xSt5a3veDs7Ex6l8OHD9OmTZto6dKldODAAXJxcdE8To+Curdu3Spu8n379kmtG70PTk5Oom7kxsJrreP0KEePHqXNmzeLIS78mOK11nF6FJznnj17xHk7OjpKPW98v/ieFy9eLIZS8P1rHadHQd1o32jnuOYyzxsF3/GGDRtEIt1jx45RTnYG1dY/pNku0fS76YfpTwq4jdkQSIk59zCBSUAYnt5/+ctf0vTp08XTPEp0dLQwDAhPuQC3CRMmPJrjBljYv3+/qBP1oJ396U9/EilFpk2bZtG25uJiKNPXnKb/m3mJXp91iXrMvkiLHY7RicOGY3Cd161bR8uXL3/i7/Uuz523Ke9x6NBh8vjsEwoeMpCChw+loMED6PKXn5PLkSNiP47DNX8avA3Xnr1N/2Jtb0NZsWIFrV27VnrduM7Ic/npp59Krxv1aXnbC+hm17vgyczV1VXcYDB9rWP0Kqjby8tLXAA8pWkdo1dB3ejRQKPHUwqe0LSO06Ng6AaUPnPmTHHt8VrrOD0KzhO9fDhvDMXhOmgdp1dBTyNuNk9PT+l1A3rQzvFkKrtuQBjSgKBLH0MaZfdKqeFhEy07EUe//eAw/cfHx8l2tR9F3cTcHMME88zMTPrtb39LI0eOfDTkhaHPyspK8d94wsUQ6Jw5c8Rr9MjhqQ/niTpRD9rZa6+9Ri+++KIwdmxr/dk6W2KVEhEVQ1/v8KPXZrtSz7luNHCJBx1zC6eEOMMxuM7odTpx4sQTf693Qd3PlbclJFDk6dMU+s4YCrezUcpwih7/DsX5eNO1Ft8r6n4avM3NzY29TVKxprehnDx58lFPp9Z+vQrOFQ/ESI0k+7xRn5a3SZ3jhg9hDWEeiLUmD/Mct+43DwQ/JNaaB4Jh0pbzQDAguuFCIv3b1MP0n5+eoIHLvCkoufm6IALVxsZGJNrV+szoTfnxj38sfizakt5z3BBLseBonFgxAQl4x24MotRbBrA0CkO3iYmJ6iu5et68LX/vbopG3jYF3iKHDab8w87qnsfFc9zY22SqtbfJFIDRmnPcWnsbR5XqLI4q5cgrmUJvV+vIq50eqfSvUw/RfyvghjlinrGPX5ft27fTD37wAzH001KAAsxdA9S1Z5hoZ3pGlZZWPaDP90YZlrtSCpa+MszTaxZHlVrG26pSUx6tSYrAhPgPH48kbSmOKmVvkyktb5MlTgfC4CZNDG5sbtDhgAz69RQXscj8a7Pd6HyEYf6aUegxGzZsGP3whz8UwwEwCUyIHT58OH33u98VE3Pbk97gVlhWS1McQx8tdzVjZzgVlzcvMA8xuHXd25CfLXuHk7pKwiiKsh1Guft2q3ufFIMbe5tMMbg1i8FNZzG4sbnJlJa5nQ3Non+aeFD0uP155hU6evXJ3rP09HQaN26cmKf2wgsviPK73/1OTH7H9WxPeoNbTkk1jdlwlfqoy119uT/6sVx0EINb172tKi1VrJKA3rZo9LZNm0K1+W2DEYMbe5tMMbg1i8FNZzG4sbnJlJa5uV/Lp//75gL1mHOZXpnl+sSqA0bh/kAwAqLmMKcNMGeK9Aa3m7cracgKX+q7yEsk4Z17+JoIkmgpBreueRuuZ5ajgxgejR4zUvybu3ePuldbDG7sbTLF4NYsBjedxeDG5iZTWuYWlFJCA1dgzVJvAT5bLz+5mHxXpDe4JeWWicXlsWrCq7PdaOnJJwGNwa1r3laVkizWIcV6pOhxi500nuoK2p+EzuDG3iZTDG7NYnDTWQxubG4ypWVu0Tfvks1qPzHU+LoCbivPJFB94+M9Vl2R3uAWnlZCveYD3Lzo9bnutPFCsrqnWQxunfe2psYGyhFz24aJuW2RNkMoz0X5Hlv1arYWgxt7m0wxuDWLwU1nMbixucmUlrmhxwqJd99cYJgjNu/ItSfmiHVFeoObR+wtAW5vKeDWa4EH7fZ8cgiXwa3z3laVnETxUyZS1Ch70eMWN20S1ZjQfhnc2NtkisGtWQxuOovBjc1NprTMLau4SqTQQDoNlM/3RVFpleXuBb3B7XRIjogofWuRF/VV4O140JPBFQxunfs+0duWvdNJRJDGjBst8rblHtyPhqwe0bYY3NjbZIrBrVkMbjqLwY3NTaa0zA2pM2bsChepNABAk51C6fa9WnVv16U3uO33uSk+d5+FXjRgmQ+5Rj8594rBrXPeJiJJJ4035G2zH07x06dRjYlJThnc2NtkisGtWQxuOovBjc1NprTMraqugb46ECWGSTHJf/SGwCcS2HZFeoLbwyaiLZdTVHDzpKErfelqcpG6t1kMbp3wNuXiZjttExGkIm+bAm45e9rP2ddSDG7sbTLF4NYsBjedxeDG5iZTWub2UPmBnnckVkSUYrhx8ApfSrtVoe7tuvQEt4bGh7T0RLwAN8zRs13jT3GZ99S9zWJwM9/bqlIRSTqRojG3TSlxUyZQnRnL4zG4sbfJFINbsxjcdBaDG5ubTLVlbitPJ9Ars91ESo1eCgBdz34SfjorPcHtfv1D+uZgtIA2wNuo9YGUUfhkbyGDm5ne1qT2ttkPN/S22dlQ7oF96k7TxODG3iZTDG7NYnDTWQxubG4y1Za5bb6cIlJpANww1y001XKLVOsJbrUPGmnq9rBH4DZu41UqLn/yPmZwM8/bRCTp1EkUpeZtw/qktXnmQRCDG3ubTDG4NYvBTWcxuLG5yVRb5rbf1zDBX6TUmO9BbtdMHxLrSHqCW3VdgyGVyUJPscD8e1uC6b4Cc63F4Ga6tzU11BvyttkONUSSDh1E+S4HxVql5ojBjb1NphjcmsXgprMY3NjcZKotczsZkk19F3uLOW4AtxPBlvt8eoJbSUWdmNcGcMPn/mB7mEIe6s4WYnAz3duqU1MobjIiSe1FYEL8h9OoJjND3Wu6GNzY22SKwa1ZDG46i8GNzU2m2jI392sFNHCZj0ipgWS2ba1X2hnpCW5Yp9RmlZ8AN/QYznSOVvc8LgY307wNvWo5OxzFnDYxt812GOXua39N0rbE4MbeJlMMbs1icNNZDG5sbjLVlrmFpBbTMAWAkFIDAIRloxqRa8MC0hPcYjJLaciK5s+9TGOdUojBzTRvE3nbJk8w5G1Db9sHU6hWgaDOiMGNvU2mGNyaxeCmsxjc2Nxkqi1zS8gtoxFrAwT8oCw6Fkf1DebNaWpLeoJbQGIhDVJ7CgFvbS2Qz+BmgrcZI0kVYIseM5KilX8729sGMbixt8kUg1uzGNx0FoMbm5tMtWVu2SXVNGbjVQFtiND8Yl+kiNi0hPQEt0uRefT2Um8Bbpifd8BXey4Wg1vH3laVkkzx0yZT9EgF3BBJOmk83b/V+SAVBjf2NplicGsWg5vOYnBjc5OptswNa5O+tyVITPDHfLFJ20JExKYlpCe4HQ7IFClM+ijQBnA7G679Q83g1r63NSmfTUSSYm4bIklthohI0q6IwY29TaYY3JrF4KazGNzY3GSqLXPDCgQTFVjrOc9DDDli2LSitl7d2zXpCW5O7qkKtBkWmAfA+VwvVPc8Lga39r1N9LZNmUhRWCVhpJ3oeavtYhtlcGNvkykGt2YxuOksBjc2N5lqz9w+3h0hetwAbghUsNRC83qC2+qzCeIzC3Bb4k2RN7XbE4Nb297W1NBAOTu3iwhS0ds2bDDlOR8wO29bazG4sbfJFINbsxjcdBaDG5ubTLVnbvOPxIo5bgA3LNaekl+u7uma9AS3uYdjxUoPRnBLb2ONVQa3tr2tWkSSIm/bCLHElcjblp2l7u28GNzY22SKwa1ZDG46i8GNzU2m2jO3tecSRWACJvoPWu5LEemW+W70BLfP90WKpboAbgOX+1DBXe1eQga3NrwNkaTbHUUkqcjbpvybs2eXurNrYnBjb5MpBrdmMbjpLAY3NjeZas/cdnqkCwACuA1Y6k1ecZa5PnqBG6JeZ+wMFz1u6CXEAvPF5XXq3sfF4KbtbVWpKRQ/ZZJhbptSMM+trguRpC3F4MbeJlMMbs1icNNZDG5sbjLVnrkdC8qmviq4YdjxdKhl2oVe4IblriY7hoqACkTCTnEKFdGxWmJw07guordtmxgeRW9bpJ0N5R3cr+7suhjc2NtkisGtWdLADQ0tLi5OfSVXJSUlVjPW8vJyioqKsgo0FhYWkoODAxUUWG5BcVMFg8F5l5WVqVvkCQaD77u4uFjdIle4yQAz1lBSUhJlZWnPX/KML6L+CrCh1w3lgJ/561NqCe1swIABAtwOHTqkbu26cu/W0ftbgh8lDf7qQAzV1muv9oAfk8TERPWVXD2t3laNSNKpyNtmRzGjR1DCtMnUcNtyP/jW9DYAK7zNGgDD3vb0eZveunDhAp07d059JVda3vYCftT1LsanQg8PD/GkhJtN6zg9CuqOjY0lV1dX8aXLrhsX/PLly+JJQWbd+DGNjo6mpUuXUkREhHitdZweBeeJpwScd0JCgrgOWsfpUVA3Gjq+bzwdyq4b7RvtHNdcZt3G4uPjQ8HBwU/UfVv5wb4UnEJ9F3ooEORBvea504rjUVSobL/V4jhzS1FRkWhnvXv3pp/+9Ke0efNm0da62tbxuQKu3SS71b7UU/msPea60dd7QygjO49u33r8WJxrSEgIeXt7i9cy7zPU/dR5m7L9Vl4upWzaQBE2QyhqzEiKGDqIErdtoQIL+QDqtqa3AZzgbbj27G36F9T9tHqb3gX17d27l3bv3m2VurW87QXcAHoXNDI0dDyN40uH0Wsdp0dB3e7u7mIIJzQ0VDytaB2nR0HdaGwHDhygq1evSq0bPQC4wb/++mu6dOmSeFLSOk6PgvMMCgoS540Gh+ugdZweBW0L37OzszO5ublJrxvtG+0c11xm3cZy7Ngx0a3fuu64a9F02iOU+sx3U0DIjV6f40qfOPqI7dEtjjO3YPjiypUr9Oqrr9KLL75IixcvFm2tq/f49dhocr4UTAMWu1PPua702mxX+maXH4VFKO0r+vFjca54Gj569Kh4LdtfnjpvU65/pNIGQhVgC7e3obDhQyl8/LsU7XqFopTvq/X7dKagbmt6G9ocvA3XHq+1jtOjsLc9fd6md0F9a9eupTVr1lilbi1ve6G+vp5klIyMDPHF19XVae7Xs2AeBBp8VVWV5n49C54G8ZSAbnWt/XoWPIVv3LhRPCFq7dezYBjF+HSktV/Pgjk3+L4xt09rv54Fw0boBbDGNUfBjZ6SkqK5L7uoggYsMwyVvjHXXSx71dDw5HHmlIaGBtHO+vfvL4ZK9+3bp3mcuaVBKW7RuSKI4q2FnuLzbnfTPi+U1NRU8aOqtU/v8rR52wOlDWY4bhVz27AmaaTtMMres+uxv7NEsaa3ZWZmCm/Dtdfar2dhb3v6vE3vcvLkSTpx4oTmPr2LlrdJm+OGblZc+KYm7TkqegrDOaBUnLBs3bt3T5h6ba1lkp2aI3Spbt261SoTePEjhvMuLS1Vt8gTYALfN35YrCEMX1kjIATC8A2MVUt3Kh+Q3Rr/R+CGhLyWuB3RfW8MTkBvgKV0NjxPBCX0Uz4vUoIcD257UjR+wNH7Zw09bd5Wk54mokeRtw0Lycd/MIXq8vPUvZaTNb0N86zgbbj2ssXe9vR5m95Cr9eZM2fUV3Kl5W0cVaqzOKqUI69kqr3Iq3tVD2iiQ4iAIURqTnUKpfLqB+rezkuvqNIDvjfp1dnuIqDi1dlu5BrTdpANDL115JUsPVXehkhSRweRrw29bSJv2749hn0WFkeVsrfJFEeVNovBTWcxuLG5yVR75lZZW0+f7o0QEZpYRmr81mDKv1uj7u289AK3ba6p9PIsN5G6BD1ugUlF6p4nxeBm8Laq5OZIUvS4xU6eQLUF+kSVM7ixt8kUg1uzGNx0FoMbm5tMtWduSGg770gs9VLTa4zdcNUiy17pAW4YdMQ6pehpw9DugKU+FH3zrmGnhro7uD1oaCDlA1D2DkeKslPXJLUZQnkuzqIXTg8xuLG3yRSDW7MY3HQWgxubm0y1Z24NjU1i2ate8zyo90JPMd8t8kbXvx89wK2uvpHmH40VPW0Y2h2xLoCS89qGzO4Obgq2UU1qCsVNmWhYJWGknZjbVqNjO2RwY2+TKQa3ZjG46SwGNzY3mWrP3NDvssMjTV1CyouGrPAlv+tdn+SsB7iVVj2gL/dFic/aa74njXcIpqziKnXvk+rO4BYVHUP3a2spb9dOirJVe9uGDaY85wO69bZBDG7sbTLF4NYsBjedxeDG5iZTHZnbkcBMEVGK4UdM+r8Y2fWoPD3ALb+0hqY5hYm5eD2V8tHuCCoqazt6sbuCG6ILo2Lj6O71eLquRpIiDcj16dOoJlvfLPMMbuxtMsXg1iwGN53F4MbmJlMdmdslBdQw/Nh3sZeAoiOBXf9x1wPcbtyupHc2BYm5eG/M86CZzjEiuKItdVtwKyoWbT1t8waKGWUn1iQVkaR7dqlH6CcGN/Y2mWJwaxaDm85icGNzk6mOzC0gsYhem2NIsfHKbDfa6ZGm7um89AC36zn3aNgqP+qzyEv5vG609GQ8NT5se9iv24Ib/OXMaYqZ+L5YjxRz2zDPre6W/usTM7ixt8kUg1uzGNx0FoMbm5tMdWRuUTfvivlt6HEDuG24kKTu6bz0ALfw9BLlc3qa/Dm7LbgVF1Ho/Lki0S562yLtbCjv4AF1r75icGNvkykGt2YxuOksBjc2N5nqyNwSc8vIZnVzT9aSE/HU2MUJ7HqAm19Cofh8omdwlhvtcG+/Z7C7gtvtyAgKUYAtGpGko0cYetsUqJEhBjf2NplicGsWg5vOYnBjc5Opjswts6iS3t189dHcsW+co6myFskkOi89wO1CZJ4Y0u232FtEliKooj11R3BramigTKdtFDx4AEWrkaT5h12oSWmDMsTgxt4mUwxuzWJw01kMbmxuMtWRud2+V0sf7gx/FK05YyeiNevUvZ2THuDm7J/xKPoV8IagivbUHcGtKjWFrk18n8JsbShyxHC6/uE0qslqH3AtKQY39jaZYnBrFoObzmJwM83cCspu0Z2qtjPjm6PnzdyweHlOaT4VV5aoW9pWR+ZWXvNARGiiFwu9bu9vCabMorbzo5kiS4MbztfhSmpzvrnlvuSf2H6+uW4Hbko7y9nhRBG2wyhshC1FKv/m6rQmaVticGNwkykGt2YxuOksBreOze1yggctd19P1wsS1S1d0/Nmbo0PG+mSco1mX1hK7kk+6lZtdWRu9Y0Pxbw2pATB5H+7tQFi3ltXZGlwe9DwkFacvi4WwseqCfZrAigmo32o727gVpWWSvFTJlKEAm2hNkMobtoUqlO+B5licGNwkykGt2YxuOksBre2za36QQ1t9d9J7zl/SLH5CerWrut5NbezcZdpxJ7xtD/sqLrlSZlibhsvJos1QBGxicn/XV32ytLgVlXXQDOdox8thj9u01VKv1Wh7tVWtwK3pibKdnQQqT8iR9lTmAJusnvbIAY3BjeZYnBrFoObzmJwa9vc9oYcotc2vE2HIk+qWyyj59XcHjY9pBXuG6j3lmF0Pt5V3fq4TDG3XZ7p9PIsV+qnQBt63vwTi9Q9nZOlwa2s+gF9sCOM3lTADfPwJm4LocIO5uF1J3CrSk6i+KmTDOCmlIh3x1KtAjKyxeDG4CZTDG7NYnDTWQxu2uaGHraReyfQpMOfUImF5rYZ9TybW+adbHrn4DQad2AqpRY+aWKmmNuxq1li4j8m/SPlRleXvbI0uJVU3KcxG6+KoVzMc5uuQFzN/fYjX7sLuDU1NlD2DieKslPXJLUZQlHr1tCDhq5FBndGDG4MbjLF4NYsBjedxeD2pLndqymjr88uoN6bh9DJa+fUrZZTZ8ztQeMDCsuKUj5bubqlc+qMud0ozqConFhqbDItjcPuYGfqsWkwLbi8Ugw3t5Qp5nYlOl9AG4ZKX5/jTi7+GeqezsnS4HartIYGL/cVEaUAzM/2RooF8ttTdwG3yuQkkastapS9WCkhcsJ7FOPmSg90XEy+LTG4MbjJFINbsxjcdBaD25Pm5p7sQ/232dPUI59TQfltdavlZIq51dbXUWn1Pcq+myOCI+ZeXEbTjn5BmXe6dq3MNbfKukqao9SN+h80PFC3tq/0kgzR4zbQaRSFZEaoWw0yxdyuJhXR0BV+j3q0EMH5sAs//JYGt7SCCjH3DuCGzzfvSKy6p211B3BramgUkaRRtsMoZuxoumZvQ9Hr1tC16wl0v77tdVz1EoMbg5tMMbg1i8FNZzG4PW5uDQ8baPGVNdRr8xDaFrBbmIGlZYq5BdwIocWua2iDjyOdib1IS13XimHb7LtdGzY019wuxLvSIKfRtPDyKpPB7UFjPS11W0dvbh1GDso1bClTzC02q5RGrgswzCFTwGj5qevKD3/n70tLg1t42p1H4IYAhXXnO16WqzuAW3VaKsVNniBWSIiyH07Jn86gjPAwio5Xvr9u5m0MbgxuMsXgxuAmTU8juKUW3aDR+yZRX4fh5Jnip261rEwxtyb8r0Uv0+HIkzT58KcKuHXth8Acc0svzqA1XltpilLvwkumgxt0+tpFenPLMJpy5DMqapHfzRRzyyiqone3BFEvNWrzG+cYqqztfI+NpcHNI7ZADOUC3FD2eKWre9rWcw9uiCR12kZR6pqk+PeW834qvnevW3obgxuDm0wxuDG4SdPTCG7Hos7QAMcRNPHQx5RxJ0vdall1xtxcIo5LBbfq+9UCFjHU+c25hTT34nKzwC3hVjLZ7n6PhmwfQx7JzbndTDE3TP6f4hQqhiGRJ23a9jC6W9X5e8PS4HYsKEsAG5LvIvL1ZEjHPxTPO7hVpaSIvG2Y24Zo0ripE6mhuJiK7txlcJMsBjcGN5licGNwkyYtc0M6C0yo77FpEM08t5jKarsWCNCWngVwc0vyIp/UABGo8fnpOWbNcYPyywrog2NfUv9tdrQjaL+61TRzw7Dox7sjxMR/wNHo9YFUWFar7jVflgY3pCvB50IZuMyHvOI6ngf5XIMbetu2O1KUvY3obYu0s6E8Z8N3XlhUxOAmWQxuDG4yxeDG4CZNWuaWd88AGz03DRZztOob9Ulh8LSDW3rxTXIOP0ZV96uovLaCPjs122xwu1t9j749v5h6bRlC8y8tF0O/UGJioknm9s3BGJHDDT1bA5b6UM6dzrdPS4Pb6rOJoidQLHe1wtekBMHPM7gZ87ZFjbSj6FH2Iqq0TgEXqLCwkMFNshjcGNxkisGNwU2atMwNw4Kj9k0UgQmbfLerWy0vmBvqLigoULd0LFngVqnA2qHIE5R8O1W8xvqsnQG3+8qxKz02CQieceKbR72XuMlROtKyk9fFUCnArd9iry4te2VpcMNaqph7h6jXYSv96MbtSnVP23pewa2poYFydiKSdKghb9uwQZR/yJmalHYGdVdvY3BjcJMpBjcGN2l62sANaUCG7BhDfR1saX/YEXWr5QWDKSkpMeuaywI3n7RAupzo8SgworPgBjkG7hXDzoiGvVmSKbbhuzYF3JACBL1aALe+SkGKkM7KkuCGyzLVKVSsmIDPZ7van0pNmH/3vIJbVaoxktSeouxt6fqH06gm0/BdQwxuDG6yxODWDcENDS0uLk59JVf4EbcWNJaXl1NUVJRVjBXDKA4ODmb1PFlKMBicd1lZc0/O+euu1G+bHQ3bMY4uKP+tp2AyLaNGO5KlwA3CTQaYaS0EY2CItLyued3NroAbght6bh5MY/dPpaica2Ib6jXFWI9ezX4scvNydOfbCNrZgAEDBLgdOnRI3do51Tx4SO9tCRYRrwC38VtD6IEJt21WVpYYJraG9PQ20dtmP9wQSWpnQ7ecD6h7DOqu3gZghbdZA2C0vE2W4Gv4vouLi9UtcgVvAzRbQ0lJSZTZ4qFFpi5cuEDnzlk+Wbwp0vK2F3Dj613wZBIbG0s+Pj7C5LWO0augbpy0p6enABi81jpOj4K60tPTyd3dXfSEyKwbT8O4yVasWCGekvBa6zg9Cs4TT8I479TUVKqrM6wzeTz6rBgmHbVvEgXdDBPb8LSu9R7YDpMSXTAWEN4LpaqqSrw/jO/evXtUryYuBVBNPvwJZZYo0KNUiR/CioqKJz5XR6WoqIh8fX2FuZaWlj4695r7NeQSfpzi8w03oOHciIorSh6BW90D5VhlW21trXgflNbvj8+N/dCVRE8atH0U2ex8hzySfcW2tLQ0ioiIaLet3b1TQkd9k6nfIk/qPd+Dei/woO1Xrmse21HBOaKd9enTh1566SXatm1bp9saPldceh6NWONHvea5U6/57jTdKYjybxUp56P9Nyg4V/RCBAQEaO7Xs6BuXbxNuYa3oiLp2sT3KXKELUUq8BY9aTzlxV4T+3AM6u6u3gZQhrfh2lvL23CvyTxvFHzP+L4TEhKk1230NvyeyK4bJTAwsENv06OgPowk7N+/3yp1a3nbC+jy1btER0fTxYsXydnZmUJDQ8XF1zpOj4K6XV1dxUUPDg4WT0pax+lRULeXlxft27dPXHiZdePmunz5Mn355ZfiaQEGp3WcHgXniZsM5+3h4SEaGnQi6qzIPQZwC0gPFtvwxNzyb8PCwkT7QM/Rw4aHdK+6nA5HnKI1nptpg7ejyWW91zZR1nk5kGeSLzU0NAhIw48M6kA7hPkB5ABLB0KP0KRDH9PNIuWJTmEqABe65XFsy8/XXsHnxvuinePpDD9sYhhJeX9PBawuxLmKz9DY0GgARqWe22VF9OnJWTTnwlKqrlVgtdEAl+hRwA+DVpvBzQxduu5Og5wM4Oaa6CW24SZHl357bS0mOoL2nQ+ivgvdqOdcV+qhlG93+yifH+eg/TdtFfyAXrp0iV599VV68cUXaeHChaKtdeYex+c6ciWIBi52px5zlM+llI8dfSgkVGlTkdp/g4L77MyZM3T48GHxWra/WNzblO8wQvn+whbMozCbIRSugFvY8KEUvmIZRSr3NfbjuO7sbWhz8DZce7zWOk6P0tLbAFC4DlrH6VHQtoKCgujAgQN05coV6XUbvQ2/JzLrNpYjR44Ib5NdN+pbs2YNrV692ip1a3nbC3h617vgRxA/Yvji8aOkdYxeBXWjqxENHl3bWsfoVVA3npBwo+PHVusYvQrqxtj4+vXrBQDgtdZxehU8BeO8AWDGYZxLCR40wGkEDd0xls7HXxHbAFRaf2/sCcMqARklWRRfkChyl5lSrhckUVxegujdun4riQrKDOkkMHSK9zXWgSEe0fOlyNDj9illqUte4VgMibT8TKYUgBpgDz2NODcIqzFgdQatoVD0xH1xeq5Ik9Ja+Gxa35vxMx+KOEE9RQ/mRLp6M1Rsw1ACemFa/03LUldXS9E3imjoSl/R29ZLKfMPR2se21ExtrN+/fqJHrfdu3d3uq3hc3nE5NLg5T70pvKZ0Bu46UIi1dRoH28sqA/nDGjV2q9nQd0W9zalXZZci6HYyRNFol3kboud9D6VK99tbYtri7q7q7fhoQrehmuP11rH6VVaepvsujE8je8b97nsult6m+y6UQDNeNiWXTfqO378OB09etQqdWt5m7Q5bmjkeBI3Z96RpYQuXpCrEQZkCsNxxosuW+jN2rp1q1XmJKDB4bwxlGaUd1oADdv1jlg1Qc/ghM7IknPc0AtlnDRdr4Cn09W9tNHXkfzSr4rcbT7KdUCQAv77wnU3sfrBjOPfiOFOrxQ/isy5Jv6uIyE4AUPPWLc0Ktewnid6FE2ZB3LrXh3ZrfEX88iwrNTn+6LUPeYL7cw4x83FxUXd2jldiMynt5f6UJ9FhuWuDgealqQZ5wxTt4Ys7m3K++Tt2iHmtIlI0uFDKN9FO+iju3oboBHehmsvW1reJkt4GMT3jWF5a6ilt8kWACYjI0N9JVfnz58XAQrWkJa3cVSpzsLTGbo2xZCZZMHUnqao0pi8eHr3wDQxoX6jr5O61fKCuaEnwpzJw3pFlQLAAGjOyvujV+9gq7LVf5cYOsaC+/tDD9M+pWDuWl29YW5cWzKkA9kowG2qAn7GXkU8DZsSeYUlrkauCxTrlSL1xgSHEKpvMPTkmSu0M0tFle73vSk+U9/FXuJzucaYFjTxPEWVViYnUxx625C3TSnx06dQbbY2wHJUqXyI4KhSjiqVKatGlTK4MbjdriikGce/lpKAF0NX5jyNmwNuDcrnxhCulsw1t7vVpWL5ryVX1qhbTBP+7ttzi6j3lqE0//LKR709pppbXX0jTXYMFb1aKGM3XqV7VeZFtRplSXDbdCmZ3pjjLnLLISVIaFrzOqzt6XkBN0Petu0UZTvMsEqCzRDKQyRpkzZUM7gxuMkSgxuDm1QxuD0d4IbeJ0RP9lDAbaYCHVjuSQ91xtyORJ0SvV7599rv4cGC7gsuraTPT8/VXGvVXHNDfQC3RZdXU+ND0+8NwyoUX9DbjiPooAKdRplqbg8aHorVE4zght63zMIqda95siS4LT0RT6/OdhOpSrByQpKJiYGfF3CrTkuluEnjKXr0CJEGBHnbattpSwxuDG6yxODG4CZVDG5PB7hBR6NOK7BhTxMOfUQ3S56eReYdA/fQmH2TRXBDe/JK8ReRnL03D6Hdwc4IGH1M5prbjZIMGrt/Cn19Zr5YVcFUXS9IpOG73iUbpUTlGOa3Qaaa28OHTbTqTIKANgxNDl/tTzEZd9W95slS4Fbf2ETfusTQ63MMS3HZrvGnjCLTrslzAW5NTZTtuE0EJIi8bcq/uXt3qzu1xeDG4CZLDG4MblLF4Pb0gFvW3Rx6z3k69dk6nNySvNWtlpUp5hZfkECb/XaIuXarPDfTu8pnGrJ9jIjwxHJcG5TtATdC1KObhc//8YmZNGTHWNriv5NqW81FM8XcMNR68bobrfN2oJnnF9Gwne/QyL0TaOHlVbTWeytdSnDvcBj51LULYn7bl2fmUdX95rZljrlhMXeAG3q2Bi33NWkxdy1ZCtzuVt6nT3ZHiKW4AJOYd3ertEbd276eB3CrSkmm+CkTxXqkYm7b1ElUV9B+DzCDG4ObLDG4MbhJFYPb0wNuECbk99w0hDb4OOoyz80UcyutvkeJt1JED1vS7VTKvJNNuaX5YgF44/bbFdrLQN2pviv2n4+7QvdqDGuEGmWKueEYzKVD2pLUohuUU5onXqcUpott+BwP25jTBN1vuE/zL6+gPg7D6Vj045FO5pjb6dAcAW6G9Uq96URw5wzZUuCWXVxFk7aFiKAElM/2RVGpifPunnlwQ2+b0zaKsrcxzG2zszHMbetADG4MbrLE4MbgJlUMbk8XuCUVptLIfRPpfZcZVFBmeQOSYW4lVXdELjpEd7aUDHNLL84QvXQIpihsBZfmmJtfQqEAN6xVClDa7p6m7jFPlgK3hJx7NHqDIdIVvW4LjsVRzX3T/OJZB7eqpCSKmzrJEEk6yp7ipkyk2ryOoYTBjcFNlhjcGNykisHt6QI39CbtDnGmXluG0okYy6//JsPcsDYocq61lgxz2xm0n/pvs9e8duaYW1zWPQFuiOB8bY4brTzTuTxolgK30NQSGrLCV/QAYp7b+gtJyvU0LTfaswxuhkhSJ4qyHWrI2zZsMOUfcqYmpS11JAY3BjdZYnBjcJMqBrenC9wgDA8imhJzy4w5yCwlvc2trLZCrLuqNZSqt7lhaHXEnvH04fGv6W7NkwlAzTG3m7crafByX9Hj9poCSnMOXetUEllLgZtn7K1HIPnKbDfa45Wu7ulYzzK4VaWmUNzkCRQ92v5RJGlNlmmLaTO4MbjJEoMbg5tUMbg9feAG+aQGUj8HW3K6uk/dYhnpaW5IaeKZ7PdoianW0tPcAFXL3dbTkB1jKDQzQt36uMwxt/y7NfTO5iDqs9CT3pjrTp/tiaSKWvMz8FsK3DDn7uVZrtR/ibf491SI6dfwmQU3pb1k73AUwCYiSe2GUe6+9iNJW4rBjcFNlhjcGNykisHt6QQ36EjkKXrnwDQRZWkp6WluNQ9qRGDCg0btSfN6mVuj8r4Hw46JXkqsrNCWzDG3O5X36ePdEdRrgSf1nOchEvLm3zG/nVoK3Pb73qBXZhlyuGHOnds107+/ZxXcqlJT1d62ESL9x/UPplBtvulL1DG4MbjJEoMbg5tUMbg9veAGBaSH0JwLyyg4I7xTQ3Wt9byZGxLzno69SLMuLKbo3Dh1q7bMMbfq+w00/2isCATAECVWT0jKMz8psiXADd/7lsvJYsj2LaQnWeZLQSnF6t6OZWlwe2hGO+y0tyl1ZDs6KMA2nKLHjBTglrffvN7n9rzNnHPojBjcGNxkisGtWQxuOovBzTRzu1N1VxRL6HkzN0ANom/Lah9PPaIlc8yt8WETbbiQRK/PdRe53Iau9DN5iamWsgS41T1opCUn4umNuYYcbiPXBVBclumLeFsK3ArKb9OJa+cpJDOCqh+YlkOus95WlZwkcrUhZxt63OKmTKC6W6atzWpU297WJOZDnrx2gSJzrqnbLCsGNwY3mWJwaxaDm85icGNzkylzzW2f9w2xxBQCFABvHrHmXzNLgFtZ9QP66kC0WJ+013xPGr81hDJNXDUBsgS4IVJ4+vGvaJPfDrEcm6m9v53xtibl2OwdiCQdZogkHT6E8g+5YI/hABOFNo77TMvbGh42kEeKL0049LGIQMb8TEuKwY29TaYY3JrF4KazGNzY3GTKXHMzBAS4iYAAANypEPPbiiXA7fa9WprsGEK9F3pSj7nu9NGuCLpTYfr92lVwwxC0za536OuzC0zuaTMK91dUVJRZ3laZnExxkyca8rZhlYTpU6g22/wl4OAvOO/2vO1A2BHqs9WGDkeeUmDOcv7L4MbeJlMMbs1icNNZDG5sbjJlrrkhBQcCAUQKDgXgdnuZb4yWALesoiqxNqkxh9tM5xiqb+w4j5lRXQG3kqq7Yhk2pFlJK76pbjVdaOulpaUm99AZ8rZtN/S2YZUEmyGGVRI6MSetQXmvyspK0e7aUml1qVjKbYDTSIrMjlG3dl0MbuxtMsXg1iwGN53F4MbmJlPmmltYWgkNVpPeIjBg/XkkvVV3mihLgFtiTpmY24aIUvT8LT1pHoR1FtwQHbz96j7quWkw7bi6X91qvh6a0ZNVlZZKcZPGGyJJ7YdT/IxpVJvT+fYCeOsIGv3Tg+jtbfb0xZk5VFZjfgCKlhjc2NtkisGtWQxuOovBjc1Npsw1t6TcMhq9PpDeVIcoEWWKaFNzZAlwC0wqEnPb+i72ElGuDldS1D2mqbPghkjmoTvG0Nj9UymlyPwfhdvlhZRWeIPq602bPwbAEmuSjrA15G1T/s0xI2+bUZi/Fp+fSCWVd4SndgRuFXWVYhi495ahtC/0sLq1a2JwY2+TKQa3ZjG46SwGNzY3mTLX3HJLqkX+NsPC7p70yZ4Ikd/NHFkC3M6G5T5a8B7lSKBpKwcY1RlwQy/ZWq+t1GPTYFrn7UD1je0Da5PyvwblGMyBS1Mg71DkSZp+/EvaFeRMDQ2m+VpVSrIhknSUvZjbhvVJzY0khUIzI2mCy0cUkB4sXpsyTHsm7hL122ZLHxz70iIR3Axu7G0yxeDWLAY3ncXgxuYmU+aaG6I5P9sbKVZOQK/be1uCKc/MJLyWALfdXukC3BDZOmiZD7mbkXwX6gy4GZZd+0TM/brcTlJjoxBp6hCwm5a5rRPDq+i5GrVvIu0NdqFGU8DN2NumrpIQaWdjmNtmpvA5Zp5bRMN2vkMBaaaDW3rxTXr34Ac0ePsY8k2/qm7tvBjc2NtkisGtWQxuOovBjc1Npsw1t4bGJrFGKea3ISUIFnlPv1Wh7jVNXQU35JNbeTpBgBvg0Wa1P0XdMK/ddAbcLid4UL9tdgJmMu50HNGJhLZYOaP6fjU9aHhAtysKaerRz2h3sLNJ4Ia8behhE5Gko+wpbspEqsszDzwQFXo27jJ9eWYejd0/xaweN8znA/C9sWkQrfXa0uX0IAxu7G0yxeDWLAY3ncXgxuYmU50xtxWnEujV2e7Ub7Ev9ZrnRXFZ5k1e7yq4NTQQfbX/Gr25wFuUUeuuUmZhpbrXNJkLbg8a6mmN5xbquXkwfXZqtgJlZkZkKAK4TTnyqUng1lTfIpIUedtsBlP+YRdqUtqLOYrOjaWTMefo5LXzNO7AVPJPCxLbTQE3CD2FWB94+rGvKb+sa/cHgxt7m0wxuDWLwU1nMbixuclUZ8xth/sNemOeG/Vd7EY95l8m7/h8dY9p6iq4VdY+oHc2+9GbC69Qr/mu9P6WYKo181Y1F9zuVpeKXqu+W4fTEre16lbzdKv8tsngVpWa0rwmqf1wuv7hB1Sbbd48vjvKZ94fdlgAl3uSD43aN8lscMM8tyE7xpDd7vcp4bZ5ASCtxeDG3iZTDG7NYnDTWQxubG4y1RlzW+t2ml5Z8SX1WDuVXl8zgSa7zCfn8ONUWnNPPaJ9dQXcrt4MpUWX19ObG6bTG2vH06srP6YRjmuooKxQPcI0mQtu2aW5NGb/ZBroNJKcrpq3PqhRJoObAlVilQR1bluUnQ3l7t+r7jRdlxLcyU+dm3Yh3rVT4OZ/I5hsd79HbynA6pvWtXluDG7sbTLF4NYsBjedxeDG5iZT5phbbX0t7Q1xIZud79Nr622oxwY7ekMpb26xpwGOI+nLM/Mp4VayenTb6gy4YeH8I1GnaeyBqdR3qx312KgUUb8t9dxkSx+d+IYis01fY9NccIvLTxB5zYbuGEunYi6oW82TqeAm8rYZe9tG2NL16VOoLj9P3WuarhckKdfrFN1vMHjY+U6CG3rZRu6ZQH0dbMX7dUUMbuxtMsXg1iwGN53F4MbmJlOmmhvmdO1RoK3X5iEKpI2mnhtHKtBkKG9tGU02u94VE/ffd/6QMu+0fy6dATfM0eqzZZgYthvkOFaBtpGPSr+to6m/oz2N2jvRJHCEzAU3n9QA5bxH0LCd48gv3QA/5sokcFN4KtvRQQG24RQ9ZqQAt7wD5vXwIYr0YPhRyrrbfB93FtwKK4pp9L7J4rt18N+lALT5c/uMYnBjb5MpBrdmSQO3goICiouLU1/JVXFxsYBGZBiXrbKyMrGOYV1dnbpFngCsDg4O4odVtgDJOO9790wbbrOk8HCA77uoqEjdIle4yfDDYg0lJSVRZmbHc6eCMsLFPCeAy9Ad71CvjaMegdubmw3gZqsU9Eo5BO5R/0pbaGcDBgwQ4ObigoXS21dcQQKN2T9FQBvqGLDtcXB7W3mN4TzUvcJjo8if1pGysrIoMTFRfdWxjkWfEeA2XKk/sZNzvUwBt2pj3jZEko4eQQnTJlN9oenDwAAyDJH6pAWoWwxqDW6mqup+NU098rkAt4VXVole187Kmt4GcIG34XdFttjbnm5v00Pnz58X8GYNaXnbC7j59C7l5eWi4oCAAPGUpnWMXgV1p6amkq+vr2jsWsfoVVA3Gpq3t7cwGK1j9CqoOzk5mVavXk0JCQlUUVGheZxeBcaK887IyBCfResYvQpAHd93SkqK9LqxZmVgYKB4OpRdN0pISIgw9vbqLi8rpx0BB2iQ0ygxVDhsxzjqvckAbgAnQNzQ7eOU7e/QQMeR9NHxmXS39K7yd0++F9oVDPWtt96il156ibZv395uW6sor6AjYadpyPYxotgodfdzGP0EuOEzDXIaTROcP6L84lviM2u9HwrOFT0BwcHBmvtR8COLf9FjARjaGXRQgJvtrvco567hh6i2tvbRcVrFuE+AisKSBWW3aDLATXmvhnrDslN4f3HtUZRrdsNhC0XaDqOoMSPFmqRpu3YY9rV675alqqpK9G5AGCI9FHFCABfev+mhUrHy/3NxVwS4+aVeFa/xUIrrjl6g1ueA13hPHFd9v0YEZfRXoBj/YkWFh40Pxd+2d+6tC87Rmt6GNgdvw+9Ke21dj8Le9vR6mx4F9R06dIicnZ2tUreWt70QFhZGehc8nVy4cEGceGhoKEVERGgep0dB3VeuXKH9+/dTUFCQ6GbWOk6Pgro9PT1p37595O/vL7VuNPBLly7Rl19+KZ4W8OVrHadHwXkC0nHeHh4e4jpoHadHQdvC93zgwAG6fPmy9LphLhguxDWXWbexHD58mE6dOtVm3RFh4XQtMoY+c5lFb221pUGOo2iw42jqvbEZnHoqZcC2UTRIKf0d7Gnkzgnk6u9GURFPtt/Y2Fi6ePEivfrqq/Tiiy/SggULRFtr6x6Pj4qjuceW0FtbbAx1K3X02Wzo6XsEblsNdQ/YNoKGOY2jsz7nKTqy7WuJc8UwBswVr7XqNvrOnZI7Aoqcw46JxLs2O9+ha7nXBSTl5+WL41r/rbEY30P0YCtclasA36TDn9Cuqwfoft19AUAAp+joaApTSsTpUxQ6bjSFK+AWNnwohb03jiIuX6Lwdu5F3Dt4f/Tg3a0spf0hhyn1drqALkBhw4MGUfeZa5do1N5J5JMcoFAbCZgsKSkRwyr4Tlq+J0wfD6+AvntVZTT58KcC3OZeXEaVtZVUV1MnRkPQdlv+XXsF19ya3oY2B2/D7wpeax2nR2Fve3q9Ta+C+vCQsGrVKqvUreVtL1RWVpLeBU976P25evWqoEWtY/QqqBvj4jAXmKrWMXoV1I35ZX5+flRYWKh5jF4FdcOs165dK55O8VrrOL0Kejdx3pgPIbtu9OrCXNPT06XXjSckmKs1rjkKbmr8CLdXN/YtvbKO3na0F0OlgBfMa2sJTwMdx4rt6HEb7zyDsopyqKryyffE/Ca0s759+4oet507d7Zbd3VVNW313SnmsKFXbbhSR58to+iN9So0bhxFQ7Ybtg/ePlrMc0vKS9Gs21hQH4ZwAFZa+1sW45qiZ65dFAEYOH9jdCXASOtvWhcc11aPG94fn6eivIzSNm809LaNtKPwQW9T5p7dVFlRQZUdfDfGecCYhxeSESH+u7WuJHiKHrfgm+HqlmYB4lq+J3rT0JsI3S4vEnPc+m+zo+XuG6iuXgFOBWTxPeK4ln/XXsHntKa3occJ3obfFbzWOk6vwt729HqbHgX1HTlyRMCTNerW8japc9zwJGgNoXsZT8HWmuOGpzQxvCJZ1p7jhvPG8Its4YcP3zfPA2lbzhHHxRwzm13viHle/R3GPII2I7hh/hmGU784M1f9K22ZO8ft/HVXAYWAJtT9JoZpVXDDMC2WckLdWJppypHPqLah43vH3DluPmmBotcJQ8UnY86rW81Te3Pcam/eoOtTJyngNpRixo2i1AXzqC7X9CChlMJ0WnRltUjfEZ0bR1E5sRSVqxblv50C99GIvRNof+gRisy5pmy7RsWVHU+WT7ydKv5OBCcE7BYrMXRW1vQ2a89xY2+TL1O9TQ89dXPc1H91F0eVclSpLKFHBN83R161LfzY2+8dL+AN8NQ6QKC/8hrb0eO2LXC3+lfaQjszJ6o0uTCN3jkwTfSoITBCzK9TwM0QGGEAN/GZHEfQKs9N1Piw4wcuc6NKb5ZkKQAzngYqYLr9qvk51aC2wA2rIWRtw9y2oZTw6UdUdOki1Ss+YI5Si26IeXjbFLjaFrDnifLpyVkigGP+xeW01X8XOSrbMB+uI/mnI4/b+yKPG5L4dkUcVcreJlMcVdosBjedxeDG5iZTppob8qih1wa9TkN2jKVBjuMeA7e3toyiAU4jxDqeN4oz1L/Slrng1tREdCjyhEh++/a2kdRrk5qKRIE3DNkO3TFO7BuxZwLF5hvmn3Ukc8GtrKacvj23SADMUrd16lbz1Ba4VSYlUdz4dyn+gyl0N/gqPdTBd1zCj5P9nvEUnhmtbjFNZ2Iv0mAF1kfunUgpCkB3RQxu7G0yxeDWLAY3ncXgxuYmU+aYGyIMt/jtFMOlfR3s6fUNw6jHRhvxb+/N9vTJyZl0La9jcDIX3CAseL439BAN2f6OAm3D6Y2Nw5R/bainUv9Ax1H0wdEvKOhmOKaSmSRzwQ3fk1Pg3i6tVVpUWSwWmd+nnEdTY/MnfVBSQmWREXQ3wJ8eFBVSU309BdwIVq7nt3Q+/oqYC9dVYYgUYBt0I1S8NvU9d1zdT3222oiI0rvVXRvqY3Bjb5MpBrdmMbjpLAY3NjeZMtfckCMNy06t8XKivhs+px5rP6ZXl39N7+zYRnmlxepR7asz4GaUo7cX/XnpHOq59nN6bdUMmn54GR2OPEW3yvVd8goKyYwQvXvvHJxGGXey1K2mK/deHr3nPF3ALyI9jWqqqqaG6ipqrKpU6LiaamqraPaFJdRj0yCa4DJD/F1XBQDDPEGvJD91S8eqb6ynr88uELCK5MtdFYMbe5tMMbg1i8FNZzG4sbnJVGfN7f4DoqlOwdQbC73P86VJDlFUVKZsNEFdAbfdHpn0yrc+1H+JF70y5yIFJJg3F8yozoDbneq79PHJmWKiPnrCOlJtfZ04bkfQfjE8OufiMjHUjCjNDd6OyvYDdCT0GBXmZ9LDSoBbldIY66lBASaAEhIKA/QQbNAZ5ZTm0b7Qw+Tgv1usaIFlq2Yc+1pE6R4Iw8oK7UMM5haO3T+V7Pe8TzEm9KR2JAY39jaZYnBrFoObzmJwY3OTqc6aW82DRpp7OI56zfei3gs8adT6QLqeY9pQWmfBDcN7q84k0Kuz3anvIh/qp5SoG/LADToceZJ6bxlKS1zXdhhhiR4rrHGKHsqgjDCKyI4WAQExOXF09UYYBaYFUWhiIJUVFVBjeQU1lJfTQzX9CBLoJt1OFYvDm7MGa0vdqSql4IxwUa7lxYvlwPBeWD0BvYd3q0vVI7V1OvaCGCZdcHkl3a/vuhcyuLG3yRSDW7MY3HQWgxubm0x11tywZuXGi8nUc74H9VnoSUNW+JF/gmnDlZ0Ft8raeprpHE1vzHWnN5U6R60PoNSCcnWveeosuGFIdsKhj0SUa1rxTXVrF9X4kOoVaHtQ8uRQs29aAMWbEP1paWE+46zzi0WKlbCsKHVr18Tgxt4mUwxuzWJw01kMbmxuMtUVc3Pxz6Ae8zzorUVeopwONa3ddBbcCu7W0FSnUOqlwGLP+Z70wY4wKijt3NqZnQU36GzcJeqzxYacru6lxk4EKVQo93ZBwnUqvHieCs+fpdtnT9Ot06eovvTxHrD7Dffp1LXzVFB2W93SdSFBJ/ytoxyVfmlB9LbjCFrpsbFTgRhaYnBjb5MpBrdmMbjpLAY3NjeZ6oq5uV8roNfmuFO/Jd702mw32u1l2vt0FtxS88tpxLpAenOhl+h1m+USQ1V1nUuS3RVwK68tp5nnFtHQnWPp+q1kdavpylG87ersbyli0NsUMWQghQ3oS1mODureZkVkx5B7sm+Xkt62FhLQIqt6e95W86BGRLSO3j+Z0oos1KuoiMGNvU2mGNyaxeCmsxjc2NxkqivmFp5+R8xv67fYi16e5Uarzyaoe9pXZ8Et8sYd0bPXV6nvVQUUV59NNDn9R2t1BdyglKJ0Gu/yEc2/tFwMK5qj3JBgChk7mmJG2VP06BEUN2Ui1bXK6I9etuPRZ0XuN0uqI2972NRE+8OOiNxtnimmR6CaIgY39jaZYnBrFoObzmJwY3OTqa6YW2JeGQ1f7Ud9FnqJOWcrTl+nBw0dD6t1Ftw8426JHr7+S7zpFQUUd3qkq3vMV1fBDbpRkklfnZmnwNsKk9ORNDU20E2HLRQyeADFjBtNkTZDKP+QMyIv1CMMulGcabk5dC3UnreV11aIJMuTDn1CATdC1K2WE4Mbe5tMMbg1i8FNZzG4sbnJVFfMLfdONU3aZphzBpiafega3ans+J7pLLgdDsyk1+ciotSb3lxg+pw6LVkC3KDCimI6de0CZdwx7furSkmmaxPfpzB1Mfn46VOpJtv8nHCdVXvehijUc3FXxLqneojBjb1NphjcmsXgprMY3NjcZKor5maI8owR8816LfCgkesDKa2gQt3btjoDbg0PmwxRrPOMUay+JkexaslS4GaO0NuWs9OJwm0GU/gIW9HblnfwwBO9bXqqu3obgxt7m0wxuDG4SRODG5ubWVJ4Y+25RENetcWGuWcR6R1/f50Bt+r7DaJHr9d8TzVvXABdz+78EkzWALeqtFSKmzyBIhRoCx02mK5/OI1qc+R+7wxuDG6yxODG4CZVDG4MbrL0rJvbPp8b9IoCbhgqBcC5xTw+yV5LnQG30qr7NHlbCL2pQBuGZsc7BFNBqXlBAS0lG9yQPDjbcRtFoadtpB2FDh9Cufv2qHvlicGNwU2WGNwY3KSKwY3BTZaedXO7GJkvghP6LvIS888O+nY8ob4z4HZLgTQk+UVUKYZmZ+yKoPrGzucXkw1umNsWP2UiRY+ypwh7G4qa8N4TkaQyxODG4CZLDG4MblLF4MbgJkvPurmFpZXQ8NX+IqoU889Wn0mk+g4iSzsDbteySqnfYm8Bbkj6O/9orLqnc5IKbuht276NohRgixk7iiKGD6XYjevpYaeTmXReDG4MbrLE4MbgJlUMbgxusvSsm1tGYSW9uzno0dyzz/dFUnmNYb3NttQZcLsUlS/m0AHc0MPn5J6m7umcZIJbZVIixU2dJKJIY0aPoIjx71CctxfJdzYGNwY3eWJwY3CTKgY3BjdZetbNDZGl03eEU4+57tRHgaoR6wKosKxO3autzoAbcrYhmhTQ9vZSH7oQ2bUfYFng1tRQLyJJo2yHirxtMXbDKGr9WopPTBDrvcoWgxuDmywxuDG4SRWDG4ObLD0P5oaUIIb8al5iODP9VqW6R1udAbeFx+JEjx7AbfAKX4q6eVfd0znJAreq1BSKmzRerJAQZT+ckj/7mFKuBlJsUhJ7m0QxuLG3yRSDG5ubNDG4sbl1RhsuJIuhUuNyVIFJxeoebZkLbg+biKY6hVHP+YYcbjar/OlWJxeXN0oKuCkfPHu7owA2zG2LsrOh24ecKb+4mL1Nshjc2NtkisGNzU2aGNzY3Dqjo1ezxHqlADeU40Htn4u54FZcVkfvbMI8Og8RBPH+lmCqud+5xeWNkgFuxrxtordNXSWhvqiQ8hV/YW+TKwY39jaZYnBjc5MmBjc2t87IP7GQBi33Eb1hyLO24WKSukdb5oJbXFYp2a0NENCG4dK5h2M7jFztSLqDm8jb5iB626LHjBT52/IO7he7chWIYG+TKwY39jaZYnBjc5MmBjc2t84o/VYF2azyewRWX+2PEqsqtCVzwc39WoEKhl7i/R3dUtU9nZfe4FaVkkTx0yZT9Eg70eMWN2US1RXki33sbQxussTexuAGMbjpLAY3NjeZsoS5VdTW0+j1gY9WNZjqFNpuj5i54HbA96aAQgzD4v3PhXf9x1dPcGtSPCt7hyNF2Q0TkaSRw4dS/mEX0QsHsbcxuMkSexuDG8TgprMY3NjcZMoS5vag/iF9vDtc9IYB3t7fGky5JW23X3PBbfXZBHp1jruIWEXy3YgbXW8jeoJbVbJhlQTMa0OPG+a21WRnqXvZ2xjc5Im9jcENkgZuMPfY2K5lR++siouLKTo6mhoaujYBujMqKysTN1pdXfu5sPQQbm4HBwdhcrKFHxKc9717nV84vLPCDyi+76KiInWLXMXFxVnlBwVKTEykjIwM9VXnteZckpquw5OGrPClq8ltR5YCHgYMGCDAzcXFRd2qLUSUrj6bSG8vNayaMGSlH2UWd/2HPzMzkxISEtRXFpTyY5Wzc7uIIBWRpLZD6RZ621qIvU2+txUUFAhvw7WXLfa2Z9vbOqPz588LeLOGtLztBTwtySipqakUHBxMFRUVmvv1LPiyAwMDqbS0VHO/ngXQ5O/vLwxWa79eBU+F6enptG7dOkpJSRGvtY7Tq5SUlIjzxk2utV/PAkPF940nFa39epbKykoKCQmh5ORkzf16l4iICPF0prXP1FKjlAPeqWIYE+D2llIOeKVSbY3GsWo769u3L7300ku0a9euNtsa3vdmwV2a5hRCvZX3xvtP2RZMmbfuin1af2NqwdO4sffHYkU5j7vKtYydNJ6iRtmLwITYD6bQHXy3Lc6RvU2+t6WlpQlvw7Vnb5NTngdv62w5evQoHT58WHOf3kXL217ABr1LVFQUXbhwgZydnSk0NFR8AVrH6VFQ95UrV2j//v0UFBQknpS0jtOjoG5PT0/at2+fuNFl1o2hm0uXLtGXX34pnhbQxa11nB4F5xkQECDO28PDQ1wHreP0KGhb+J4PHDhAly9fll432jfaOa65zLqN5ciRI3Tq1Kku1R0bHUH7z1+l12Zfod7z3OiVb6/Ql9t9KD7myfsWPU0XL16kV199lV588UVauHChaGta93ic8veHLwfRgMXu1GOuK706y5U+3uZDV4PDKCri8WPNKThXDGPAWPHaIv6ivEcE7teF8yls+FAKV6AN/4YtW0LhLe4l1M3eJt/b0Obgbbj2eK11nB6Fve3Z9rbOFNS3evVqWrVqlVXq1vK2F/CkpnfBUwKo0c/PTzytaB2jV0Hd6HHy9vamwsJC8VrrOD0K6sKTkZeXl+jSl1k3hjHQtYzGhqcUvNY6To+C88RQBs4bcxJknjcKvmcfHx/xZCi7bsx7wQ8ZhhRk140CY8fN3pW6y++V0rW0Ahq4zFv0uL02240+3RVKRSV3njjW2M769OkjetycnJzabGvlZaV0+moavTHXnd5a5Ekvf+tKDhevax5rTsG5Yvjo6tWrmvs7VZRzyAsLpeiJ71PUSFuKHGFL1yZPoJK0VLHPeBzqZm+T720YOoK34dqzt8kpz4O3daagPkwBwfxda9St5W3S5rihseMLt4bQlW+tycMwFTQ2a0wextwja80DwSRa400mW5hEi+/bWvNAAMrWmFcIJSUliTkRXdWdqnqatj1MzHPDCgdY6eB2mXYbNmeOm7N/Fr2qgGC/Jd4C4C5HF6h7uqasrCwBkJZU/q4dFK0Am2GVhGGU7+Ks7nlc7G3yvc04fxfXXrbY255tb+uM0LN77tw59ZVcaXkbR5XqLI4q5cgrmUIPhCUir2ofNNLi4/EKXBnmudmuCaCYDO31RNHOTIkqvV/fSMtPXRfAhgXsh630o4h0y7QPrcirrqgyOYnipk4yRJKOsqf4qZOpNlf7PmJv46hSWWJv46hSiMFNZzG4sbnJlCXNbbdXuugd67vYm7B2qVuMdu+GqeBWXF5HH+4wpBlBYMLEbSGUU1Kl7u2aLAluTQ31lI1IUls1b5vNYJG3rUn5brXE3sbgJkvsbQxuEIObzmJwY3OTKUua2+WofHp9riHf2ssKwO33uanueVymgltGYSUNXelHfRd50etz3OmrA9FUV28ZP7AkuFWlplDcpPGGNUnth9P1GR9QTVZz3rbWYm9jcJMl9jYGN4jBTWcxuLG5yZQlzS3yxl0BWliaCgC3/FQCPWh48v41FdzC00qo53xPAYKvzXGjlWcsl3fNYuD2sMmwSoICbIa5bTaUu3+vulNb7G0MbrLE3sbgBjG46SwGNzY3mbKkueUUV9NEhxAxTNpzngd9fSCayqofqHubZSq4nQ/PFRCIxLsoLv6Wm2hsKXCrTk2luCkTDb1tI23p+vSpVNfBBHj2NgY3WWJvY3CDGNx0FoMbm5tMWdLcah80CFjDsCYCFEauC6Ss4ifnpJkCblgxYePFZAFuWKd0KFZjSLJcZJxFwK2pibIdHShqhC1Fjxkp/s07uF/d2bbY2xjcZIm9jcENYnDTWQxubG4yZWlzW3cuUeRxM64rGqgBW6aAG6JUJ20LEYEJKFjEvuCu5e4JS4BbVXISxU+dJNYjRY8b/ruj3jaIvY3BTZbY2xjcIAY3ncXgxuYmU5Y2t5MhOSKqFEObiATVClAwBdyyi6rIZpWf6G3D+8zYFU4Pm5rUvV1XV8GtqaGBcnY4NUeSDh9CBYcPiV64jsTexuAmS+xtDG4Qg5vOYnBjc5MpS5tbdMZdsl3jT28u8BRlzqFrVN/weFoMU8DNI/YWDVjmIwDwzYVetOlisrrHMuoquFUlJ4u5bSJvm1KuT59GtTmmfYfsbQxussTexuAGMbjpLAY3NjeZsrS5VdTW0/tbg8XqCegtG7MhkMpr6tW9BpkCbttcUwT4icAEBdyutJETrrPqCrg1KZ6UbextGzuKIocPpXxn5TxM7BFkb2NwkyX2NgY3iMFNZzG4sbnJFJZesrS5zXSOEcObCCwYstyXEnLK1D0GdQRuGBL96kCUWDEBOdzeXupNN25Xqnsto66AW1Va6uN52z76oM1VErTE3sbgJksMbgxuEIObzmJwY3OTqbS0NEpPT1dfWUZYQQFRpVimCvPdDgc+noy2I3ArLKsVaUUMvXZeNH5rMN2ttOy92GlwQySp0zYRQRozZqRYm7SjvG2txd7G4CZLDG4MbhCDm85icHv6zO12RRH5pF2l1KIb9LBJexmjzkqmuT1oeEDX8uLp6s0wKq+tENuqq6otfs0DkwoVYDPkXkNk6bwjjy+o3hG4+V4vpIGY36ZAG+Bt2anrYt1SS6qz4FaVkiLWJI0eZViTFP9tSiRpS7G3MbjJEoMbgxvE4KazGNyeLnMLy46ij099S/vDj1J5XQU1Kf+zpGSaG6DzVnkhrfbcTLMvLKHsUsOPmKXvsdv3akWAAsANiXinOIbSvarmRLwdgds+nxtizdN+SwwrJhwOtFziXaM6BW7obduOVRJsDHPb7IZR/qEnP39HYm9jcJMlBjcGN4jBTWcxuD095uadGkBDdoyhVZ6b6H6DPm3BGuZWUnWXPjj2BU049DGl3rbsMClU96CRZh+6Rr3nGyJLbVb7U3h68/faHrhhLdL5R2NFEl/02mHINSS1RN1rOXUG3ETetmmTDJGko+yV/55MtXnmgwB7G4ObLDG4MbhBDG46i8Ht6TC35MJ0stv9Pk058hkVVharWy0va5mb340gGug0ir48PY8qa59c3aCrOhKY+WjB+TfmeZBLQHOvWXvghoXlx228Sr3V/G0Tt4VQ7h3L3wvmghvytmXv3E5RtkMNedtsBlP+IWdq6sTQOXsbg5ssMbgxuEEMbjqLwc065hYdHU3FxQZAq7pfTYuvrKGemwfTpQR3sU0vWcvcGhXgWOmxkd7cMoyORlneYCJu3BHBCf0We4lhz8Un4ulBowFy2gO3gMRCMS8Ow6T4u6XK3zVi/SsLy1xwq8KapJMnNEeSzphONVmPB12YKvY2BjdZYnBjcIMY3HQWg5t8c8P3nJCQQDXVNeL16diL1H+bHX188lu6V/N4Kov2VN/YQEm3UyksK4qicq5RYUXHPXVdNbeMO9kUnhVN4dnRlHnHvO8tPDuGbHa+Q6P3TaaEW5ZNcFtQWkOTHUOp1wLDklXvbg6irCJDz1574LbX+8ajnjrMj2sdkWopmQVuCuTmiLltw8Xctig7G8ozM5K0pdjbGNxkicGNwQ1icNNZDG7WAbesrCxqamoSvW2fnpoleqJOXjuvHtGxMu9mk0PAblrjuYW2Kf9u9d9Fqzw20ZVETwXoHk9A21KdNTcA5cHw47TMbT05Bu5Vyh5a5blZ2XbUZNisa7hPcy4spZ6bBtPOoAPU+NBy91pD40NacTqBXpntRv2XeIs5a56xhh+PtsCt9n4jfbEvSoDemws8RIBDTEaputeyMgfcRN62KRMNvW0j7Sj+gylUm5+n7jVf7G0MbrLE4MbgBjG46SwGN/nm1tDQQPdK74n/Ds2KomE736FReydR8u00sa0j3SzOpI9PzqS13lupsq55vhh63aYe/Zz2hh5SoKhB3fq4OmNu5bXltMJ9A312ajbl3WtORZFffpu+ObeQFl5ZpcCb4Xw60qmYC9R/mz19dPwbKq60bBDA8aAsMU8NQQZIprvhQpLYfvtWgSa4xWXfE5CHpLuYF/fRrnCx2LweMhncWuRtix4zUvybe2CfurNzYm9jcJMlBjcGN4jBTWcxuMk3N/S01T+oF+ky0HOF3raZ5xcp8FOuHtG2EG2KqNPJhz+hkqonP/upaxdoxJ4JFJETo255XJ0xt5Mx55T3HE/Xch/PjwbF5l2nUfsm0eHIk+qW9pVYkCKCMAY4jiSftEB1q2WUfquCxmwMVODNU6yiMGp9IJXXEZUU3dIEN4crqY+WucLxuzwtH/FqlKngJiJJp6qRpKORt20i1Rbkq3s7J/Y2BjdZYnBjcIMY3HQWg5t1wI0eKt97WSF9fGImvb5xADkFmjaH6ZoCSra73xNDjVrKvJNN451n0BLXtWIOXGuZa26FFUX04bGv6csz86jmgWFOXkvV1d+nbxXoRE+fKXPsSqvK6CPlnPs62NImvx0WHS6F5h2JFcEGhtQeXhRyo4yKC2/RgAEKuL3UDG4PGh7SZMcQw1JZCrgNXuFDia2WyrKkTAE3RJLm7HCiSKxJikjS4UMo75Cz6IXritjbGNxkicGNwQ1icNNZDG5WAjdFsbnx9O7BD6jvNls6EXNObGtfTXQo4gT122ZH7sk+6rbHVVFXqUDWXHrv4HTKvvvkj4a55hacEU6Dt4+mLQpkYU1PLW322y6Ge33Trqpb2lZVbTUtVaCynwJuX52ZL8DPkroYmS8CDQBjyOu25kI6Fd0uokH9B9BLP/4pHXY+JI4LSS1VYM1PwB3muM3YFW7x1RJayhRwQ28b5rZFjbKnaMxt+3BqpyNJW4q9jcFNlhjcGNwgBjedxeBmPXBzT/ShwTvG0PBd75Bnip/Y1p5q6+to4eVVNGTHWBHVqaWGh40KGK2jocox/unB6tZmmWtuSN2BodxjUWfULU/KRYHJtx1H0P7Qw+qWtnVfMXbHgL2ix23cgWlUrDHc2xUVldfRyHUB9OZCT3proT+N2OBHGy8foP5fDqY/TP4zfbjrCzoWfYo+3n9FATYfBfJ8qcc8d5EHTk91BG5Niu9k73CiKPS2YZUE9LY57+9ybxvE3sbgJksMbgxuEIObzmJwsx64OYcdpx6bBisAM5WicmLFtvaEyfyY1G+z812KytU+Hu+90mOTCAA4Fv0kbJljbhhq3eDjSH22DhNz59rSUQXqkM4EEa5aw7MthfqPRp4W4Ia5ePEFhgACSwlXdsvlZOox15f6LT1PvVbPoV4b7anX2kH06ur+1G/LcBroNJreWPcevbnCgfos8qARawMpu9jySYFbqiNwE5Gkk8YbIklH2NL1D6dRTY5lfoDY2xjcZInBjcENYnDTWQxu8s0Ngsk4+O8WSXcnHfqEbpZ0PCSGiM6Jhz4mm13vUmTONXXr40LAA8Ctz1Yb2hPiom5tljnmVvugVvTwvaW818mYtlOVoFcOIDb/0gqqvv/kPLjW8kz2pbccbMRcPe9UywYoQKn51WSzxoNeX/MBvbFxCPXYMILeWD2EXlval/pvtqM+W0bR6xtsle129H+LVpCDa7ouSXdbql1wU2A729FBAFvMmJEUjUjSfXvUnV0XexuDmywxuDG4QdLADQ2tvSdiPVVSUiIaHBqebJWXl4ss/tYw1sLCQtq2bRsVFDSnmJAlGAzOu6xMvwnp7amqtkrkROu1eQjNOP4NldV2HFGaU5pP411m0HBTwS34SXCDYDCA5o6EYIS5F5cpkDXcouAWkRVDA7ePoqE7x9Lx6LPqVsup+kEjfXx0A/159VAFzkaK8vra4fTaigHUW4G1nhtHiW2vrR+ubH+X/FIt2+unJfyYJCVp11OdmiIiSRFFijVJkz6cRo3FRererou9Tb63AVjhbdYAGGt6G3r88X0bV4WRLVO9TQ8lJyeL/JzW0IULF+jcOVPmSVteWt72Ql1dHeldcGODlMPCwsTTmdYxehXUjRMPDg4WRqN1jF4FdcNYrl69SqWlpZrH6FVQd0ZGBm3YsIHS09PFa63j9Cr37t0T5w1olFk36oK5FZWX0Mxzi6j3lqH0xem5yjbDD5vW8caekpy7eY/ALUIFN+zDcTBrvG+j8gPZGtywvb6+XhxnfBpPS0tr87yRZw6qflBN8y4ufwzc8AOMv0Mx/hi3BLeqOkPvBt6j9fviM2As83p+klg9ASlBnK4acpQZz6OrBZ+r4G4BfXjsK3p1nS29YQS3dfYKpNnRG+tHNMPc+pHK9bcj1+vudL9OvzaAzwRji4qKenyfsr26qopubt1CUfY2Im/btZF2lL1/H9Up3+djx3ayoG72Nvnehl4IeBuuPV5rHadXsZa3oVRUVIjvGwAju25TvE3PAlhOTEyUXjfqO3HiBB07dswqdWt52wszZswgvctHH31E77//Po0cOZI+/PBD8VrrOD0K6powYQKNGDGCPvjgA+l1T5o0iezt7WnatGlS6/7kk09o/Pjx1KNHD3rvvffEa63j9Cg4T5wvzhvnL+u8UeeCBQuoIK+Abt8tollnFxt63I59TcWlJWIJLAyvTJ069dHxX3zxBQUFBdH92vuUnJtK7x6YTsN2vEP+ycFUX1dPMdExNHPmTNqxYweVFJdQeUU5Lb60RoDbNt89VFtTS0VFRbR9+3bxfmjfaOe45q3Pe/r06fTxxx/TxYsXqbqymoruFovP+NbW4eQScly8F36QcA4rV64UP8oPah/Q/qAjAty+PbtI/E2lYt5Hjx4V54H68N5o4+7u7gqhEYWkhSvnME4sOu/kv5ca7tdTaEgIff755+IeaPmZzC0fTf+IJn85jfphKHSdjQA1FAFuSjG+FkUBux7rB9Gohe/SJzM+phnqZ7V0wXV+5513aPTo0Y9tn6psXz79A/KxGUr+A/tT4OABdGlAX/p20kSapnwPLY/tbEHd7G3yvQ3XHN6Gf7uDt6GgLngIvm94u+y62/M2GQX3N+5z2XWjvgEDBohijbq1vO2FH/7whySj/OAHP6Dvf//7mvtkFNSvtV3vYq3z/tGPfiTq/su//EvxL15rHadnQb0yr/tf/MVf0B/+8AeKj42jwpIimnduuehxm3DwI4q7mUBlpWXCdHEcPhf+/Zu/+RvatWuX2BeTHkfj9k2lodvHkWesL1WVV9LFCxfpn/7pn+jdd9+lrMwsKioupPnnVlCfLTa0yWO7WKEhJSWF7Ozs6Dvf+Y74HPi+tc4b38X/+3//j+bPn0/FhcWUXZBDX52cJ+a47fV3obJ7ZRQeFk7/8R//QT179qTY2FiquFdBu/wOUF8F7r45uYByCnLpdsFtYaIvvPCCeF/Uhf9GDrWmhia6FO0mYHDI9jG02/+ggMRDLofEueKcW38uc8r3v/t9+qt/+Rv686I36dXl/ei1lUPotbV2j8AN5bW1SlkzXNnfX/m3P/162O/oB99Xrsf3td/TEgXXvOV99pfKNfnJj39CM//99+TTpye59ulFvkr55PfKZ1G+g+9bsF3i+rO3ySvd0duMxVivNepGacvbZJTW97jM8rTV/cK8efNI74IehE8//ZSmTJlCc+fOFT9cWsfpUVA3elUmT55Ms2fPll73119/LZ7Mvv32W6l1L1y4kD777DOR0R7XHq+1jtOj4DxnzZolzvurr74S10HrOEuXOXPm0IoVKygvN4+qqqtolfsm0eP2zv5pFH4jWvQ8eXh4iDaIguMXLVpEgYGBVFdTR5m3s2nakc9Fb1Vgaig1PGgQ8ypWrVolusrLy8qosqqSllxeS/0d7Ohg8FF6UPeAbt+6TXv37hXtC58DPWHoBWh93qgT/2K+RGVFJd2ruEcrXDeI3rtDoSeorraO8vPyaNOmTbRz504xR7Fe+cyop59S37Ir66msolwA3vHjx0WbwvvhPBYvXiy61BvrG+l4xFnRQ4cF509FXaCHyjYMr+Dz4NiWn8ncsmDufPpm4bc0aN1IenPDUHprg43yrwJua4cr0GYYKu29YQS9tdFW2TeMem0cQlNWfEiL5urX/nBeeDIFlIttSvubo7T31Z98TJ5DBtLVoYMocGB/8h1pRxuVdvnt/AU0v9V7dLagbvY29jYZBXXj/sX3jd5z2XWjfaOd45rLrNtYjL3KsutGfehpRLFG3Y95m1pewPwcGQWRjRijxtwcrf16FszFiIiIEGPDWvv1LIg8wvyXqqoqzf16FkRebd68WQy5ae3Xs2C+D84bk6e19utVMJcL/0JIowEoQlqMgBvNOdewH/PHWv4L1TyoFfPIkPstKCNMbIOw33gM0nEsdl1NQ7ePfZQQt+X7oOCcMe/H+LplwXHGuWsQEv4ij5tL+HF1y+P1Qc7hx0Qet70hhuS2UMv6Wp5DQ0M97Qk+JBLw4rxTigzLTBnrNf5NV0pFXRUtvrJGJCpG5OpQpzHUY9VAenVZf+q/xV7MEUTuPPT42e8ZT2GZUZrvY8mCuU5xcXGPXj982Ei5O5woZpSdYU1SexvK3rtbF/9hb5PvbYgmhbfh2mvt17NYy9tQMOcJ3zfm12nt17PAWxE9jfl1Wvv1LggAwnxtrX16lzNnztCpU6c09+ldWnsbirSoUjQ0DP1YQ4jAMRqrbCHyCOHbMFbZQuSVg4ODVaKAYDA4b0zktZYQXYlJ+gOdRtK5+Cvq1raFG2J/2GHRW3UpwV3d+rjKayvo89NzaOyBqXSjpOtJZQNuhNCg7aNovfe2NpenQq43JPz1SPFVt7Stmvs1tNZziwA3RNNWKzCqh6Jz42jk3gmG6FUFYgFuryztS28r4AaYQ29fH4fhYoH8ao2lvCwt/JgkJCSor4hqb6bT9WmTRd42sUrC9Kl0v4trkrYl9jb53gZghbfh2suWNb0N8ITvG/NqrSEABDoErCEEJmRm6pvIuy2dP39epASxhlp7G8R53HQW53GzUgLeh4q5lxXSRye+oR6bBgkgM0WROTEijcZG3+2aS1ClF9+kdw58QIuurKb6xnp1q6FOrM6w2W8HpRdmKBvUHR2ooOyWGJ798PjXAgpbC+k/sI7plMOf0a3yQnVr2yqvqaCZ5xaKOXGb/LZToxpNa2nh9DySfRR4m0j9ttnTG2sG0qsr+1PfzcMFiA5yGiVSnSA3ngy1znWU7bRN5G0TvW3Kv3kH96t7LC/2Ns7jJkucx43zuEEMbjqLwc064IbUGMi55hBgSMKLnG4PGppBqy1huHS5+3p69+B0ul3+5FPtoYiTZLvrXQrNjFS3GJRZkk3vO39Ir28cSGu9tip1mdYDgs96JOoU2ex6h8KyotStzYrIjia73e+J4VJTlF96S/Qyvu1oT16pAepW/ZRcmEYLL6yingsG0P/M6kl2Du8KcDwTe4mq7uu7WkJLtTS36pRkkbctaqSdyNuG/67TqbcNYm9jcJMlBjcGN4jBTWcxuMk3N7SxsnJDckzMVcMi7uNdPqLMO6YZTnpxBk0/9hWt8txEpTXNwyHBGRE0+fCnYsWEhoePg9mtstv04bGv6dUNb9Pnp+ZQUUWJuqdj3aspoyWua+njEzOVz9j8XWXdzRG9bQsvr6TSatOGZTyT/cR8uA+OfkGFFXKSdBYo7WzA4AH0t7/+Ge1x2UNNpnY3WlAwt+uJidTU2EA5O9U1SceNFmuS5h92ASGrR1pe7G0MbrLE4MbgBjG46SxrgxsiFK1xo1nT3PA9G+dhYCI9EvAiSME1yVtsM0WAtw2+TrTcfQNtD9wnhkAXXFpFF6670oMWQ6QtlXgrhc7GXab9IUcoq8S8a36nulQEH2AJrO1X95FT4F4xHLs72FmBNtMztKO3D8EOu5S/w4L4MnSr4Ba93f9teunFl8jloLO6Va5gbglpaVRp7G0bZS/mtmFN0tpsfbOts7dZB9zgbd3toZTBzTrgBmg7efKk+kquGNyec3NDdFfLScq45ocOHRIRji2F4zCxtrZWn4nrkDXNDZOlkVsNJge5KcAGcMOKB21Bl5bQq5Z8O00Mi2IJrNsVpk0IPh/nSgX3bquvzBN6BTFkimJqD6FRmAP3nvN0MQcP4NkZ4R7BpHNkaDdVeEBAaoa/+qu/ErnkrKGMrGyKi1V+VHY4UbT9cIoZO4oihw+lfOcDuva2Qext8r0NwAZvax0g8Lx7G4ObfuCGdoy2U1lZKc61pZAyKjQ0VH1lEKbjGL1SzKvWSQxuz7G5Xbp0iV577TURKm4UIs5aRqPA7JAH6Fe/+pVI2Prf//3fIuM/GqqlZe0eN0T54dpDlXVV9O35xTRkxxiKyYsT2/RSSdUdOhp5mqrr9I+kbCkYh0vECeq7zZb2hRxRt5ou/CBgSZfevXuLtvHTn/5U5A9CJFdHehrALVPxl6hz5yhu0nixkDwCEq7P+IBqc/XvkWFvk+9tiKrsjt7G4GZ5cEtNTRU56n7961+LtoNE5cjTFxISoh6h/IYo7QjfO4QHCKxbipUUkND8Jz/5icith2Wp9BCD23NqboCU//zP/xRZ+ZFfyCj0POEJFEJIca9evcSPK5bJQRLFQYMGiYY6ffr0R8dZSk+DubVMFRCcESbAbe6lZXS/wdATp4eQ2+1quvJkJnmaV25pPr1zcBpNOfKZiKY1R3hyRJJhZKLv16+faBswop///Of0b//2b+JatqenAtwyMyls4TwxPApwi1bALXf/XnWvvmJvs763YaWR7uRtDG6WEdrU7373O/GgiuXT0HaQ7BYQB4BD7raWwjXYtm2bWL0AS67heCRcx+o6v/zlL8nPz0890nJicHsOzc3V1ZV+//vfC5P62c9+9tiPrLH7FtccmbZffPHFxxoizA8Z1/GD7eJiWDDdUnrazA050vaHHRGpKtyTfdStltXNkkw6HnWGSivvSQU3DP8ifcmg7aNF7jpz5evrS3/9138tfvRa9lD4+PgIM7K1tW136PSpALfAAAoZN5piMLdNKXHTJtP9W3JSkbC3Wd/b0OvRcvJ4d/I2WXrewA1AP3z4cAFtWM2mpXCef/zjH+nf//3fxaL6RiGH3j/8wz8IT2w5BQm9wb/97W/FiIWl2wWD23NkbvixxFAWYOzVV1+lN954g/7+7/9e1NVaGO7CEwGeKFqPxWNZJQwroNvXnHlNHelpNDfkXUPqjQmHPibXRC8FeCzX89bQ2EAhmRGGeWkPm6QlRL1XU05b/HaIaFdjOhFz5lvgfsS6pzAvmFVrYSmtl156iTw9PdUtT8rq4Kacb9qmDRQydJBhbpvtMMo/JO9zsLext8kSg5vlwO3q1av04x//WCzjpaWNGzeKNUKxvCCE9oUhVXilv7+/2NZS6InDurmte+m6Kga358jc1qxZQ3/6059o5cqVYkLlzJkz6W//9m8fG04wCk+cGGrA+pethcaIYTGYnynzmUzV02xubsk+tC1gj8kpNkyV8YcD515eXi7+W29dy7tOm3x3UGqRwdDQxs35kcI1wqL2ffv21fw7zC+CUaG9tSVrg1tVchLFTBpPYcOHimjS+A8mS5nbZhR7m/W8zdnZWfz47tq1S93SrO7obXrqeQM3DMPjwRTrV2sJ608D3NDGILRF9Ki9/PLLmitXYE4c2inaqyXF4PYcmRsm5rYMhcdi022ZG4wQP75YtkNLy5YtE0+37u7ayzx1Rt3V3PBjgRvNmI5EtlC3OeYGQ8AP28SJEzV7CWFuaFeYx9HWvWtNcGuqr6ecXdspbOggCh9pRxE2hrxtTQ9N73XsqtjbrOdtmJuJHuHWQ11GsbdZTs/jHLe2hHsZ8yMxBG8cbcA8Wgyd2tjYiDbQWvBezJcbMWKEGKq3lBjcniNza632zO3rr78WEy2DgoLULY8LizX/4Ac/sOhabN3Z3NDOMWHaGsJaguaYG8Lc/+7v/k48JRp7DFsK8zswv+idd94R11VL1gS3qtQUips8gcLth1OoAm3XZ0ynGp3ztrUWe5v1vO3LL78U+9jb9Fd3Ajf0wqHdDBw4UPS0QfDWX/ziF2JoVeshFz6I0QsMzVsyIIbBrZuaGybvYh8+h5Ywlo8ombZ65DojNrdnw9wQBYW2gbkbWkKoPMDtvffee/rA7WETZW93pCgF2iJG2VHosMHSIklbir3Net6GqD48eLRMFdJS7G2WU3cBN+RrQ6ABOjvwYGsU7nG0tRkzZohr0VoYZcEQPyKaLXlPMLh1U3P77LPPxL62zA0ZyNncLKNnEdxgUPPmzVO3PC4juL377rtPHbhVKZ8tbvJEih49gsKwxNXkCVRnhSFq9jbredsnn3wifkxxDbTE3mY5dQdw8/b2pt/85jciFdKVK1fUrQYZwQ2BM1qjE0ZwQy8dg5sF9KyZW3BwsBhHb12Q9K8ttWduixYtEj+qbUUGbtiwQUTDtDVPpDNic3s2zA3XCeHtH3/8seZTpBHcxo8fL/K9ackq4KYYZ7ajg0i0i0hSBCbEb9qg7pQr9jbrgduCBQtEKhsvLy91y+Nib7OcnndwO3r0qGhn//zP/yxS0bQWvPBf//Vfady4cZr3G3wA4DZ48GDRRiwlBrdnxNwuXrwoGlDrgkzgbak9c3N0dBTBCSdOnFC3PC7Mb8KTBIDRUmJzezbMDcfiCXPMmDGaPWpoE/hh/OabbzSfMiFrgFtVsmFNUmPC3fB3x1GCv+WTX5oi9jbrgRtSMCA4oa11JNnbLKfnFdxw3yKAD6sg/Nd//Zf4brWEa/7nP/9ZzGHTWpEDQTWAPqy6YEkvYHB7hswNP5JapS21Z27oacOP6urVq9UtzYIRIJkgkg22jOTqqtjcng1zwyTa/v37C0PCEmmthfUgkW5hz5496pYnJRvcmhoaKGfHdpGvLQZJd+1sKHLtakpUYM4aYm+zHrjB2/BgoZWuhr3NsnoewQ1r2mJECkme0VYyMtpe4xn32NixY0VSaK1r4ObmJqJQ165dq26xjBjcuqm5IRHlK6+8Itb7a51/BkkI8USKoTJLJo1lc3t2zA0/epgHZEw0aRRC2mFmWP4luR0okg1uyNuGuW3I2YYet6SPZ9B1by9KaJHhXKbY26zrbcirBW9r/eDB3mZZPY/ghtEo9LQhHZIpkaDIF4ho09Y5UdG+sFQWppW0NZe8s2Jw62bmhhsNBUISQSz/Ym9vL5JRYrkOTMTEmDyWNcJ3Y0mxuT075oanzNdff11kp8eQE9oG0pkgYg9PoitWrGi3t1cmuDUp/oHetii7YYZVEoYPpduHXMQi8/HKuVtD7G3W9Ta0OXgb8mext+mnZ9Hb2hNyVP785z8XbevIkSNikXjAfssSEBDw2PnifsN6zsgNiHaHtoagBAR3AQAxNG9pH2Bwe47NDQlS8SOLxmYUniCM66nhuqNnBT/O3/ve98SxeHL4wx/+YNGIK6PY3J4tc0MIPOANK2ygbaCgt+Krr77qcCUGmeBWnZYm8rYhkhSBCddnfEAP8vMoU/kMrc1NltjbrO9tmAbC3qavnidww4PonDlzHnlde6X1MDyAr0+fPmJY1HgMIvPR41ZSUqIeZTkxuD3H5oaoKSzf0XIuB25uLMPRcpgA3wFMDrndnJycLDr3o6XY3J49c8NQE3pm0cOBaD08bZoiaeCmmG22k6MhknTMSIpW/s1T87bdzMhgcJMsa3pbQUGB8LaW1xwLgLO36afnCdxwLhhdQA8ZChI5t1W01iUtKyujY8eOiaAt9LYhqlmv+5/B7Tk2Ny2hCxdj8pgHIltsbs++uZkqWeBWlZJC8VMMkaTRWJN02mSqU+qGtMxNltjb5Hsbrjm8TWvNSL3F3tZ9vO1pEINbNzM3/KAiAaU1bjQ2NwY3iwq9bWKVBBvD3DY7G8pzaa6Lwa37PZTC2/TqVWtP7G3dD9wwNF9eXq6+kisGt24Iblu2bGFzkygGN33ADZGkxrxtht62KVSb29yuGdzkexvubQQMWAvc4G249rLF3tb9wA1r3Z4+fVp9JVdWBTfcaPjS8eXLFoYKETGCRi9bmECL8GDc7LKFeSBbt261irkhPw7OG+AqW8jwj+8bP2qyhUmvmLxqDViGkAQSN7pMoZ0ZwQ1z5CytpsYGytm5naJsh4q8bVE2Q6jgkAv2GA5QhMhYGLs11F29DZ6G9math1J4G669bLG3dR9vM+rMmTNWAzctb3sBE9f1LngSRXoB45Oh1jF6FdSNmxxPhjAavNY6To+CujDhG5NoEZknu27cYBhOyMzMlF43MkvjvDEHRWbdKPie8X3D1GXXjR9QGCtuNtl1o8BYsTSLrLpRD9oZkvgC3Pbv32+5uvE+SqlA3rZJ40XeNiwoHz/jA6pUnryN9eDftLQ0AU9PvIcJBX+v/CY9UmPjQ7pf26CAmGFje+eDfd3B24xQimtTp1wbY3qYiopKARPG4/T8DMaCOtDrA2/DtZdRp7GgLva258/b8J7tFUAbghnw31p/r1dBfVre9gIicfQuuOBYsPXw4cPC4DCsoHWcHgV1e3h4iJ4ANHhcAK3j9Cio29fXVwwfBQUFSa0bXavI5Iyol8uXLwti1zpOj4LzxBIzOG8fHx9xHbSO06OgbeF7dnFxIXd3d+l1o32jneOay6zbWJBEF2vayqobT8FY1w8JUJHbCNF/aGsWuceVc7gWo/y7bAmF2Qyh8BG2hn9XLKXoeKU9q3XgXJH2AVFeeG1O3Wir+AF+2IRhzoeUnlhEp/Yo92lQLlVX3afqmipxL+EHS+vvUffz7m0495SUFOUHo57K7tVQsFcGnXO+TvfuImFpo/hBB0Di3Nu6TpYs+D7Q5uBtuPZ4rXWcHoW97fnzNpwX2jdGxzCPDRGjxoLXKLjH1q1bJ/28UZ+Wt70Acte74KbGnADcbHhS0jpGr4K6caKXLl0STwp4rXWcHgV14UcMa4+CmmXWjeErNEj8kOJmx5wIreP0KDjP9PR0cd4wVZnnjYLvGeaCHxHZdaP3CcCMay67bhSEpSPflay6MWSDYaPevXuL9XDRC2Kxtqa04XQ/P4p8fxxFKtAWYWdDMVMmUu61GMprUQfOFQ9GWP7osb/voGAKAYYa6xUgaWp6SEGeGTR/iiudV6CkphpDj01iGBDHaf09Cup+3r0N54/vGU/6uCb37taQy9ZI2jjbj3IzDPO8AG84Bu1f6z0sWeBtaHPwNlx7vNY6To+Ca8ze9nx5G84L8xXbSzKO88ayf7LPG/VpeZu0OW4w87i4OPWVXCEpHkgV3Y6yBVrHTWaNycP4UXJwcBDGJlvGbnU8tcgWhnXwfbdeAkeWjIZuDSUlJYnhI5lCO8PCyxgqxdqmllT+zu0iX1v02FEif1vewf3qnscFaELW/M4q0j+HPrY5Q3vWhNPDxrYNXEvwNnzn1pC1vK2irI6WfexJ8ya7UsntjpcKsrQAifA2a0zSZ297vr0ND2Fjxoyh3bt3P5oiAGDEA5I1pOVtHFWqsziqlCOvZAo9vM9LVKkxkjTKGEmq/HdtvvZk9K5Eld7Oq6Bvxl2gBVPdqKigUt1quuArmPfU3hO7XrKmt4V6Z9P0wSdp//oIamyQG5iBXgeOKpWr7uJtS5cuFashYAk1I68gGbkeq3CYIqtGlTK4MbjJEpvbsw9uTQ0NYk3SSNthIpI0cvgQyj/kjNA29YjH1Vlwq62upwMbI2j6oJN0+WiSutV8WcPXIGt6W2VZHW2Y5UcfDTtNAVduYhRVmhjcup+3YcQOU470FoZF33nnHdq7d++jHjeAG+bXWUMMbgxu0sTmxuDWFaG3TaxJOspeDJVe/3Aa1WS3PUzSWXAL98uhT2zP0OLp7lSQY36CzZwb9ygtvlCd/yVfXfI2BbRS44rp0uFEOrEzli64JFBSTCE1qdG0psjnfBp9PPwMLfvIg4o70VvZWTG4dT9vw3etx1qgpgjLXnGPm2QxuDG4yRKDW9fBzdDb5kRRdsMMqyQMH0p5zgfa7G2DOgNuDfWNtHt1GE19+wQd34E8bO0DC+a+ld2tpaKCKgXWiuncweu06AN3ungoQfnbZ6vH7X5dAwW6ZlCQexYlxxRRQuRt8r2YTmu/8aV9a8Op6JZp89aKbpWLuW6YHxjiLW9uJYNb9/M2a0xFMAoBKdZoaxCDG4ObNLG5Mbh1VtVpqSJvW/ToESIgAb1tLVdJ0FJnwC335j0xr+2LkecozKfj76uq/AGd2RdPBzdFksfpVAr1yqYlH3qIHqtnDdyC3DPJ61waPbj/+OcO882mT+3O0o4VIWIotD3hh7SJGmn/xgiaNvAE7V0bJoBQhhjcnj5vM+a3w0R+fD9awrXDMUiT1ZmgOfw9crkZ6wFTIDiqtdA2kaoIQ5wYYm2LOzD0imPgHUYwxOfCe8NHjdtw7kZh+Su8N45BhC28R0+uYXBjcJMmNjcGt05JMcpsx20C2GLGjBTDpLn796g721ZnwM3nfDp9OOSU6DUztYeppSpK62jdNz508fCz1eNWW/2Ati0OotnjL1P2jVJ1q0GlJTW0+isf+lyB2ZS49iMXDT9qjRToelPA79yJVygn/fH300sMbk+ftwGghgwZIib2v/XWW5qRr+vXrxf7/+Vf/kWch6lCAnsk97a1taW/+Zu/Ee+B8p3vfEfkkFy5cqW4F4zCZ928ebM4BmmKkPeutZBK55//+Z/FMRs2bHgEZ/hvbJsyZcpjvIJrj6j5YcOG0Y9+9KNHn+Ef//EfaeLEiSJdiRH0LCkGNwY3aWJzY3DrjGpTEylhyniKHmWIJI2bNpnqCjpOP2AuuKGnCUOC6CnaONtf3Wqe7imQs/brZw/c0JO2cU4AfTj4JMWHP97rUVZaSxuU64F5f3Hh7d8/aOvocctOu0uz3rtMM4aeMgQpSBCD29PpbUgYa4ShtWvXqlsNQi/Z3//939P3v/99OnHihLq1YyGl1owZM8R7/uAHP6CxY8fS8uXLaeHChdSnT59HAAXQQq+fUViaDNuw780333wMJO/du0cjR44U+yZNmkR1dc29y2hX2P7hhx8+4hUAmZOTE/3FX/yFSDQ+fvx4AYvz5s0T4IjjX3rpJV0CGBjcGNykic2Nwc1UVVc+ED09yAeWtGUHhdvbU/w4ezHHLQ+RpCbIXHC7d6eG1s80RETuWxeubjVPzyq4IfjA+2yaOO8y5Tq01N1iwzl9NeY8pSe03+Mmlt9prFfeo1b0tn1kc5pctkSKuYN6i8Ht6fW2ffv20Xe/+1361a9+JRIlQ+iN69evnwAcrHhhTjAPVi3A3/3+978Xw5Mt2zqgDvn8vve97wlwwv6Wwty0//7v/xZ/j5UPjAJUYtv//M//CO9oKayBi32ARSOvYHgWvYS//OUvyc/PTyzzZhRWXPj000/F3wwePFi8tqQY3BjcpInNjcHNFPldukGb5wbQwukeNHPMWVowZAetH7KaXO2mUPJHU+h+nmk/zOaCW0FWOX373iX6zP4snd1v+t+11LMKbu0JUaZfjj4vvhMk2W1PqPP+/VqqqXpAKz/3pk+Hn6Hln3pSZbn+Psvg9vR6G37rjD1d48aNE4mKjbnRkKgbS8yZKpzv1KlTxZAovm8tAd7Q8wZYPHLkiLq1WVguCkObAEkMj6Ln7+c//zn95Cc/0UyqqwVuSBGCbT169HgM2oxCYuBly5bRgQMHxOexpBjcGNykic2Nwa09YRH3I44x9M24i2JY7otR5+mzoUfp434H6cO3D9NXbzqQ25pT1GSiX5gLbilxRfSxzWn6UqnX72LnrtfTAG5o47jPLOFtSKLrvCXq/7f3JtBRnff5P21P2jQJdlMnTZr8e9qk6S9LkzZt4iZpE8cLjg1akBDGdswmNq+xndiO1+AVvIdFAgySkNjBmH3fVwlpJLSgFaMNgS3AZhWSbAnP93+fd+4IIV+JGWnud7Dm+ZzzHpi5V7q6yzzzue99F3nUEtri3IvthToDj6Iwl+vHza2S/Oweuc86jzifH9S7n3UUtys72zDLAWrI8Ghz4MCBcs011xhZ2rlzp71GYECSIFvvvPOO+R7vjDvuuMM8xnSauQWPQf01Ypia77//+7/N/yGTTj7iJG6oOfzyl79s2svh5zSvO4obxU0NhhvFrTMuXPCaWi4Megthe9j6sn8ofqncf3O63N9vttx/U5qMu2mOPHT7GjngubxAgGDFbd/WGiOMDyUsl/17nHvAXY4rQdwgT/iM4boLFrTbOXv6I/ng2HmpOXhSFiTlyaQnd0pFUWDTKaE90Zmzp61te2W+JeE4nn+4faXUVbo/FRTF7crPtiVLlhjZgQR9/vOfl+nTp9tLug/8Ab06ceyrqqpMpwM8ekX2oO2cU40bwLr/+7//a/4WFNQEop2bE07iBvl74IEH2n7+W9/6lsm8iRMnmvMR6lq29lDcKG5qMNwobp1RlP2ePHLnStMT8eHbVpjyu6gFRtj84obX98a8I8nP7ZXWAKZTClbc1i4sNaKBbaNxfXe4EsQN8uXL1OB7s7W0XJBNSyvMWHYzXsyU1x7ZJusXl5k2h4GAR2AfnvR9vtctKpN7o5fK7y1xO3jA/UFSKW5XfrbhpgKPRiE63/ve94w8dRecb2QLHpv+8Ic/lM997nNtEvXFL37RvMbj0M7EDUyZMsU8ckV7OMyK0BlO4gZwvtEZ4d/+7d/ato2C3/eDH/zAPCp1Y15wihvFTQ2GG8WtMzYvqzA1bWhL5VTbdv9v0uXhQe8YscOMBg0BtJkKRtwgO+/MLjLihjlK64+ctZcEx5Ugbj5CMwTBifoGSXst27Rvq6t0ro1oD8Ttgw98kobHzZhBAcezvCDwNkzdheJ25WcbJAqZ4Bechx56qFvfwehwgE4E/t/zne98x+QNhuAYP368mdHg5ptvNvI2d+5c+6cuBX/zz372s7bfgcelneVkZ+LmB3mHfcP+YLvoZer/veicEOpzQ3GjuKnBcKO4dcaC5DzTA9HUtlni9rsB8y+tbYte6KuFs+Tu0d+uktoOY405EWyNG2qW0CbrocErul1DpCFuubvqzFyqcyZ5HEvGnz2S/maOZDgsw89tXnbwU4PsdsWJ989bsrxBXvnDVtPztivwqPT0mdOWCIuZLgs1bnhUiseubkNxu7KzDQPU/uu//qupBbv33nvlu9/9rnmUuXjxYnuNwMB+ol0apAiTvm/evNnkW/thP8DgwYNNGzcnccP5wtAe+B0YBw6/B/8fNWqUWdaRy4lbezC+HK4FDA3yta99zfzctGnT7KWhgeJGcVOD4UZx6wy0bzPSZMkZatse+E3GRXGz/v/QoHd8QmcP6hpIjViw4oYaIvwNqPXL3ta9z4eGuGGKLczwgHZjTqX20EmprvjAcR28d/y9ButvC65GbtGMfDMw8eXGZDOdE843SGvLJ2Y2CdPGzTpvxxTmLKW4XbnZhu+6O++8s02O0MFgxowZ5jVqzoKZKH7Dhg2mfdy3v/1t0+HBCeQPHsWiV+n8+fPtdy+CDgvYNmrqsG3kIzpO4LEphi7pSHtxwz4D9D5NSEgwQ490BvYVP4fx5UIJxY3ipgbDjeLWGTvXVZoaNUjTp9q2obbN+vLHcoze/8L9m6S58fJjPgUrbnl76syjvd8NWiYblpTb7wbHlfOoNDgazn5s2hlC6pzY9E656XGb+lq26WnaGficffRxszQ3tcikJ3cZcXtixFo5c7LrYURCAcXtys02v6RBlIqLi817eKzuH/AWgtN+wNuuWLFihalJw+wETuKG4/Hoo4+a34tHpRjzrT2lpaXy/e9/3yxPTk623xXTUQLvob0aMrM9TjVufvnD73L6PoVbREdHf2o7oYDiRnFTg+FGceuMozVnZPzdG+W+6LdNe7aLbdsu1rY9PHiFEav5SXlmcvfLEay4vX/4rPxx2BozL+fC6fn2u8FxJYgbvhArKysDHtAU0obHq2Nvfdu0Z3OaWxRiDQlDx5CWLh6zIss/8bbK+bMfyfix643sTR2/OyDR7ikUtysz27AcPS4hWx07AOCYYUgQDBGSkZFhv9s1uLZ//OMfGyHCdFqogcO5x8C6qF2DDKJzAqbBwjbb14jhPPlr/gYNGnTJ41X8HzMwYBlq0tovcxI3fI+j/Rrex3Re6DGLzhb4W7Zs2WJmX0CN309+8hMzplsoobhR3NRguFHcumKXJQcPDJgvY2/IkPsuadu20rRtgwRgDtHaQ5dvJA+CFTf0nJz6p93mkeD0F/ba7wZHMOKGdmBN51us9ULTkcAPerFlZmYGnG11VafN4+cxtyw2Q3849SBdt7BMxvV/W+ZNyTWzLHQGrnVMeYUZLzDvKaa8WmRJcKj30QmK25WXbfibkAOQG4yr5vSdh+EzsBztwXDdBjK3J8Zwgwzi59CDE/L3j//4j2YAXcxkgEFvH3/8cbMcU1Hh78SNzBtvvGHewzoej8f+bRfB+HD+dmmYScE/sC5mWMB76PzQ3lfQbs/fSxaS9pWvfMX8PMQR72G4Ef9MEaGE4kZxU4PhRnHrivMV5TIv4Un5/U3TZdyNc2T0deky9jcLZdwA36C4k5/eJVVlgQ/TEay44Qtj+ewiGdVvkUx8aEtAQ4505OzJJnn1D1tl9QI8Dur85yEymZtr5OnEdbJ+UVmXjx+DJdhsO2P9zRMt2Xx61DrZv/eIEcr2YIiQlFf3GXHL3Nx1zYFf3MoLj8sjd6wyNaS71nd/yIdgoLhdedmGSdYxgwEa/3d8/OgHx+yee+4xHQ5QsxWoD2DKqQkTJphat2uvvVZuv/12mTlzZtvwGxAm1ITdf//9Zpy3EydOyJgxY8wcpU7t2PygVhDrYKYH5BiAKF5//fVG/LDP7cF4bahtw+NezKLw85//3AxRgk4XnY0L11MobhQ3NRhuFLdOsWzh8LQpkj8oSjbGJ0pa9OOS+ofFMndqvqyaW2wGx8U0SsEQrLiB0vxj8vCQFfLHoWukujz4sdzwyBcCNG9qrrS2dP548KOPLsj05/dKoiWJqEXEY9pQEWy2QVi3LDsoU/+0S0469Bo9VPqBJWErJWn8Hmk42/Xv9HrxpfaJb0w8S9rQHlFj1gRAcYu8bAsnOO7hguJGcVOD4UZx64yGslIpSBwuufGxUpAQLeWj75SPD/espqY74gYxeeOP283j0o1vX76n28cftcrGpeWmbRjaif35yZ1m3DLUpL31UqZpzL989gFTq9Ue1Lihh+Zjd62SV36/VQ4Wh26A2u5kG4YH2fB2uUyzZDJ7e62ZW7S5scUMi/LKH7bJ649ul2NHAusZ2tTYLG8+sUNG3bzYDAmi8ZgUUNwobprk5+ebjg7hgOJGcVOD4UZxc8Q6PjXJU8QzMErybhskObFRciQjsMerXdEdcQOY5H7MLUsk6dk90vJx19kEKUFPTP/QG+/VnpEPj52X+iNnpOZd35AcqE1z+j14PIpx0fB48t2S8IobwCPSmoqTpkctJBTimfLKPjPu2+Vq2trzbukx077tyZFr5bB1TLSguEVettXX18vJk+6PEegEHp++/fbb9itdKG4UNzUYbhQ3JxpKS6TQrm3LHTRQCkeNlKbanh+r7orbmVPNMuHBLWag3wqFqZowDAkEL1SEItvQrg2yGWzbO4jsyrlFcveAt2XZbOc2TW5BcYu8bMPnG71Jw8HSpUtN27ZwQHGjuKnBcKO4deST1hapnZ4snpgBkjckQXKibpW6jHQcNHuN7tNdcQNoU4cekbPfzLEkJvi/BbUA+Izh3HdFc1Or7N5QJac7PErtCeHMNgyM/GTiWnl23EZT86gJxY3Zpglr3ChualDcGG4aBCpuDeVlUjD8LslNiBPPwGgpGjdaGkM05lFPxA1CNevlfaZX5AHP+/a7gYNzjV5tl8s2/O7C7PdMB4FQEc5sW5pSaNoHZlniqw3FjdmmCcWN4qYGxY3hpkFA4mbJSk3yVCNsaNuGfw+nzLQX9pyeiBvANE2vPbLNFIzPFgyBZBt+/+71VXL2dGhnFQhXtqGtHh4vL00t6NZQKj2F4sZs0yRixQ0fNJx0nHxt0KgRA/DhotcGj1FwN44PuzYY4yZc4YZ5DLHfEFdtMJAizje+1LRBbQp6IIVDlgEGicQHXRNcZ35x6zjljJ+G8nIpGDFUchMGiic+VorGjJJmKxNCBUZYR7D3BAjbzAlZ8qolb0eqz9jvXp5Asg3DZLjxODEc2YaawwkPbZV1i0otafMNWqqN/6YUx14bZlvkZJufZcuWmXZu4cAp2/rgZGgUnGyMVIwRjZ2Wu1lwd4IPGuZHc1ruZsFdWVZWlhkU0Gm5m8V/V4o7JKflbhbUMGK/MRCi03I3C2ofcL4hFE7L3SyodUHtC6Y9cVrudsGdGRrwOi1zq+A684sbRjH/1DqW0FRPnWxq2XIHx4snLkYOp6WaAPrUut0suBMvKChwXBZI8dPU2Cr5mUfNbAB+nNZvX7rKNic6rtOTopltfg5XnpJ3S3y1TZ94LxhhdVrfzYKbUf/TBKflbhZmW+Rkm7/4Oyc4LXO7OGVbH7zhdoEpr1+/XhYsWGDuTHECnNZzo2DbmEts7ty55k4F5uq0nhsF2965c6eZoBYfdM1tY0LejRs3yiOPPCLr1q0zr53Wc6NgP/EoAfu9Y8cOcxyc1nOj4NrCeZ43b55s3rxZfdu4vnGd45hrbttfEC4rV65U2zbGNsJ19rOf/Uz69u0rzz33nLnW2j7jpWVSuGa15Pz2dtkXM0D2WfKWdfttkmf9TEFx8ad+X3cK9nXVqlVm9HK8DjZfUIuA34Ev4guf+GqQMCMAZAhigOVOP4eCn+ss2/xjP6F2BDXv+BcjwLf/+Z4UbFsj27Af+N24CfU9kvXVLDY2njfCis96sMe8JwXXF+asRLbh2DPb3C/YdqRlm79ge6+//rq89tprYdm2U7b1QTWc2wWGvnv3bnPQYY+YnNVpPTcKtg1pQlVnWVmZ+rZxhwJbxwnQ3DZq2fbu3StPPfWU7Nq1y3wBOa3nRsF+FltfythvBDuOg9N6bhRsG1+OON+YC09727i+cZ3jmGtu21/Wrl0rW7duVds2aj727Nlj5um76qqrzDx/uNbMtW6VQ4cqZf+Lz8u+qFskZ9BA2TfgFilJmiJV+Hms0+H3dadgX7dt2yZr1qwxr7vzOcMjGNQcYrJp1CygYHob/G4sc/oZFCy/XLbhPX/puKwnBdvWyjb/8UFtE44Natmw/RUrVhiZcXPbHQuyDdccsg3HHq+d1nOjYD+ZbZGRbf6C7SUnJ0tSUlJYtu2UbWpt3FC1C1MMB8ePHzcChUcZ2pw+fdrcJeHuXRvc4U+ePNm0B9EGd+bYb7fmb+sKfKngfB87dsx+RxfcFYWj7Q1A7QM+3JrgOsPky3hUmpGRYb/ro6miQopGjTBjtmHstqKxo0IybltHEHD4Qg0HkZptqEUMV6cvPCJGtuHYa8Nsi5xs87N8+XLTQSEcOGUbe5W6DHuVsueVJqj9wJ2xJp31KvVan/XaaUniiR3g60kaM0COpKeikZe9RuhAjRC+VMIBs00/2yAP4ep4xWxjr1JNnLKN4uYyFDeGmyZXkridP1ghBSPscdviYsy4bU0uXYsUN4qbFsw2ipsmFDeKmxoMtwgXN69XapKmGGFr60maOsu3zAUobhQ3LZhtFDdNKG4UNzUYbpEtbufRe/KSOUlHSPNR99rGUNwoblow2yhumlDcKG5qMNwiVNzszgmmbdvAKNO2LSc2So5kdDKjQoiguFHctGC2Udw0obhR3NRguEWmuM1ZtEhaKg/5epL6a9tGj5Smw+5egxQ3ipsWzDaKmyYUN4qbGgy3CBS3a66R1JQUqU9L8fUkHZIgOdH9pW7ObBwYe213oLhR3LRgtlHcNKG4UdzUYLhFnrj9/de/LjOeekrKxo3y9SQdGC1Fd4+Rxmr3x16iuFHctGC2Udw0obhR3NRguEWWuN3Yr5989atflUVDfytFQxJ847ZZ4laXOtNey10obhQ3LZhtFDdNKG4UNzUYbpElbtdb4nbtP35dtkb3l8LbB4snPlYKx7jfts0PxY3ipgWzjeKmCcWN4qYGwy1ywu2w9SV6882/kce+9/8kO2aA7B+S4Bu3bXaKvYb7UNwoblow2yhumlDcKG5qMNwiJ9wOWZ/tB+PiZO5Pfiz7YqMkLyFOChNHSFOd3pcqxY3ipgWzjeKmCcWN4qYGwy2CxK3ykKRasrbuF/8je2IGiCemvxzJSBevC3OSdgbFjeKmBbON4qYJxY3ipgbDLXLC7b3sfbLqhutk3a/+V3bd0k+Kxo1S6UnaHoobxU0LZhvFTROKG8VNDYZbhITbJxekKmmybPjlz2WtJW47+90gR9JTzVylmlDcKG5aMNsobppQ3ChuajDcIiPczldUyP6hd8rG638la35+reQMv0ualXqStofiRnHTgtlGcdOE4kZxU4PhFgHhZu1rbdIUyY6Nkk03/lpW/eynkvncn+yFulDcKG5aMNsobppQ3ChuajDcen+4NZSVSuGoEZI9MFq2WOK2+H9/Jstn6Qy42xGKG8VNC2YbxU0TihvFTQ2GW+8ON6+1nzXJUyXXkrachDjZftP18vv/+JGkpafba+hCcaO4acFso7hpQnGjuKnBcOvd4dZQWiKFicMld9BA2T84XpZe93/yP//yzzI9NdVeQxeKG8VNC2YbxU0TihvFTQ2GW+8NN29rq9ROSxaPPUtCiVUe/e//lK9+/euSkjbbXksXihvFTQtmG8VNE4obxU0NhlvvDbeG8nIpGHGX5CbEScHgeMlLHC6Df/V/0vfvr5HZsylumlDcKG5aUNwobqpQ3ChuWvT6cPN6Tds2T1y05N02SA7cPlj2vfCc3BIdLX/3d39HcVOG4kZx04LiRnFTheJGcdOit4dbQ3mZFIwYZtq2eeJj5eDv7pODmXul3623UtyYbWpQ3JhtmlDcGG5qUNwYbiEFtW1JU8QzMFpyB8eLJy5GPli4QI7W18tN/fpR3JhtalDcmG2aUNwYbmpQ3BhuoQQ9SQsSh5uaNtS4YQy3Tz44Ie8dPy433XQTxY3ZpgbFjdmmCcWN4aYGxY3hFirQk7RmWpLpSZo3JEFyYvrLkTkZZtlR6zhT3JhtmlDcmG2aRKy44YOGk46Tr019fb14PB5z0Wtz8uRJyc7ONh92bY4ePSqTJk0KS7g1NTWZ/Ua4a9PS0mLON77UtPF6vZKfnx8WWQYHDhwwH/RQg1kSCkb62rblxsfKgbvHSLMd4LjO/OKWHqYBeCsrK02whwNmm3624aYU2YZjrw2zrXdlWyAsW7ZMli5dar/SxSnb+hQXF4vbpaysTLZs2SJLliwxf0BJSYnjem4UbHvHjh2ycOFCc9GVlpY6rudGwbb37t0rCxYsMB82zW1XVFTItm3b5LHHHpPNmzfLwYMHP7UOQs8f+B9/bAXCzlrJ3FItZ083WR/ST6S6utqcr44/d7mC/czNzTX7vWfPHnMcnNZzo+DawnletGiRbN++XX3bOF64zjdt2tTptrEO7tZxjI/UnJZtqw5KftYRK5RbrTPhNV+EuLN0+tnLFQTM2rVrQ7ff1rkstQKzcMKLsi/qVsm2pC1rwG8k9+UJUmxdY7iutm7dKj//+c+lb9++8uKLL5r3tD/j69atM3fFeK29bWabfrbhmkO24djjtdN6bhRmW9fZ5mYJebYFWLA91O6++eabYdm2U7b1KS8vF7cLghwSgY1jw07ruFWw7d27d7cFKz7kTuu5UbBtVKnjg4Y7cs1t484Eof7444+bkMNr/zKED16fPXvWiMLpk+dlflKuzJyYKUeqT8knn1ywJOJjI25Yt/3vDaRgP/0Bk5WVZY6D03puFX/A7Nq1S33bOF64znHMO9s21sGjjtbWVmltuSB5e+rkuXs3yjtphdLU+JEldBfkxIkTjj97ubJy5UrZsGFD6Pbbuk6KrODYNyRBsuNiZF/MAMkdMVQqrM9UuXUniLtBXGe/+MUv5KqrrpIJEyZccq1pFOzrxo0bZcWKFY7L3SzYNrNNP9sgLsg2HHvN643Z1nW2uVlCnm0BFmxv8uTJpoY3HNt2yja1R6Wo2sYFj+pWbY4dO2buklDNrM2pU6dMmwRUr2sDObjc44TmplZJfnaPPD5sjRw7cs5+t+c0Nzeb/cbjFG0gRDjfeIwUDvBFFuzjhF3rKmXcgLdl4bR8+cg6J90Fd2OQqVByeHqS5FrShp6keExalzrLXuID11k/u1dpRoav3Zs2VVVV5lFKOGC26WebvxkIjr02kZxtBQUFYWl6A9zItkBZvny5kdZw4JRt7JzgMld654SlKYVGGHasCW3bgUhtwIsvb9RUBrvfHzVfkBkvZcrYW5fI3o3V9rvBgzvyUDbgbSgv9c1JavckLRg9Qpo7fFniOmPnBGabJrgZZecEXdg5gb1KVaG4OYtbecFx+f2QFTLhoS3S1BjaO/ZIDTeA7XfnOj9U+oE8NHiFjB+3Qeq7WfsZynDzWkFdk4xx26LMLAk5sVFSl/HpzgcUN2abNhQ3ipsmFDeGmxpdidv5cx/LpKd2mRqeTW9X2O+Gju6G2wfHzsuHx3t2rLTD7cT7DfL+YbQX7BktH1+Q1NeyZVS/RZLx5xwrKIN/9BbKcDtnj9vmr20rHD1SmhyuJYobs00bihvFTROKG8NNja7E7UDO+/JA3DJ5fNjqkEhHR4IJt48/uiCHD52S1fNL5LVHt0nOjp6FsXa4rZpXIs/fu0kWTd9vHj0vmZkvS2YVmP/7y9vW6yUzC+RI1Wn7p5zZv/eI/G7QcnNe6iq7XteJUIWbt6VFaqcnXxy3LRrjtqUjve01LkJxY7ZpQ3GjuGlCcWO4qdGZuKEN9aIZ+TLmlsWS9OxuaWkJ/TkJJNwgjHOn5Er6mx5Zs6DUCM4f71otubt6NjaTZrhdaPXKrFf2yfDrF8hdv5ovQ1Gus/+1y7BfL7DKfHl61Dp5r/aM/ZPOnDzRKBMf2iL3DHhbNr0TfE1oqMLNNyfpUMlNiDMTyheNGy2N1VX20kuhuDHbtKG4Udw0obgx3NToTNxOf9gsL9y3yTwm3bCk3H43tAQSbq2tn8i50x/JuTMfmVq36vIP5U9j14tn52enxu3c6WaZ/sJemfTUTvMvSvJze2Ta83vaXk95Zrf8acx6ydsdmJDOmeSRkTcslD8/uVMaG4IbWDUk4WaZfU3yVDMnKdq2QdxqU2baCz8NxY3Zpg3FjeKmCcWN4aZGZ+IGMXooYbncE71USvcfs98NLd0Jt6qyD+QZS3A+S+JWVf6BbFvVMUwubZtWUXhctq1817RhC4StKw7KvTHvyJMj18qhkuC+HEIRbo0VZVI0cqhp14Z5SQvHJErj4U8/bvdDcWO2aUNxo7hpQnFjuKnRmbjhkeR9se/IY3etltp3T9nvhpbuhFtl6WdP3PC3FudeOv0MxrXyX+fH32uQ5RkH5IP6wM///j1H5JE7Vsr9A9+RnO3BHYuehBs6Q1xoaZXqKZMlLy5a8gdb4hYXI4fTUuw1nKG4Mdu0obhR3DShuDHc1HAStwsXPpE3Ht9hHpO++MCmkA66255IEbdjR8/J2VPN9is8ZfSac43prFo+umAeRZcXHreXBgZq2Z4auVYSb1ok6xaW2e8GRnfCLcc63hl/9sjrj++Ul+5dK68OfFNSBvxR9sQPkdJxw6XpMl+OFDdmmzYUN4qbJhQ3hpsaTuJ2or5Bnr93o4y9ZYlMenqXnGknHaEE+4u5/DB1U6B8FsXNCd8o9l7J3lZrZkQIdkR9DC/y7N0bZdTNi2Te1DxTExYowYQb2hWuXVgqjw1dbR7Noobvnpvnyt03zJa7b5oj469/SXKTFlhrdj15OsWN2aYNxY3ipgnFjeGmhpO4Hak+bQZ4HX3zYkl9NdvUCrkB5AXhGsx+9xZxg+jUHvpQ3kkrkjMfBj8dEIRqwu+2yBjrHE1/cW9QHRQCDjfLBTH8Cq6DBwctk4eHrJSH4pfK/Teny/39Zsv9N82WMTfMkWfv3SzvX6ZWluLGbNOG4kZx04TixnBTw0nc8BgOw1JgkNe3ZxbY74Ye1DLhgx5MbVNvETfMJ7hy7gHZtc55+IxAQE/Ucf2XyCu/3yofHm+03708gYZb4b735JE7V1nStlwevm2FKb+LWmAJW5otbmnm9T0x78iSt7q+TihuzDZtKG4UN00obgw3NZzEDdNcobdi4k0LZc38UvvdK4PeIm5VFR/I1PG7e9TxI+21bNPrd/y49XKsLvABkgMNt9Xzis0AzOhdjNq2h+OXygNttW1p8sBvMuShQe/I/dY6rz2yTT650PnjUoobs00bihvFTROKG8NNDSdxw1hpz4xeZxq+v50S+Bddyf5jsnJOsayaW2x96ZdctmC9FXOKzL/L0w9I5ubqyw6H4ba4tbZ8Ivu21sqKDGsf5jr/3Z2VVdb62I9iT73925xBBeOy2YUy+Zld0ng+uDHY2uOrcXtbJvxuc1A9UgMNt5RX9sm9MUvbatsedKhtg9A9MPAdMwbdh8c6/xsobsw2bShuFDdNKG4MNzWcxO1o7Rl59m5fG7e017MtmQnsfNQeOiVZW2pk37bawMrWGkvWqiTL/Ftjxou70Np1I3e3xQ09assLjgW3H+0K9qP2YNe1aBhMeOLDW8wgukH2SWgDgjvhwS2m5+/rj22XU0G0k+uOuKFtW1ttG4r1/4cHvWOWocPC+LEb5GQXj2spbsw2bShuFDdNKG4MNzWcxO3UB43ywv2bzHRXU57eZUb+v1LoDY9K3y0+IX+4Y6UsSyuy3wmeD481ynP3+Hr+YhaG8+dC3zkBNaG/i18uDw12aNsWvbCtJg7i9qp5VNq5hVLcmG3aUNwobppQ3BhuajiJG4aWmPTkTlOb89IDm+X40QZ7SWhBr9KjR4+akAuU3iBuW1a8K78btEzWLup++8HKsg/l6cS1pgMJHs8GQ6DhVpTzviWYq+SB2LflgZsz2sQNNW9o22bavVnihoGaFyTn2T/lDMWN2aYNxY3ipgnFjeGmhpO4gUXT881jsseHrZHDh9yZOQH7u3fv3ogbx21+Up78Ln6Z7Fx7yH4nePIzMXPCKlPb5dkR3IT7gYYb2vstmJYv426eL/feaD8iteTtQbu2DZ0W7ov1XSPVFSftn3KG4sZs04biRnHThOLGcFOjM3HbtvqQkQvIW0XhlTNXaXUFJpnfIHl7upYV1BruXFspSc/ukYqiT89KEK5wa7FkaMaLmXJ/3Ds9Erftaw6ZcwOJras8bb8bGMGE24mCEnljwEtyjyVu426cI2OvT5e7+y8yvVkhjS/ev1mKPZdO5+UExY3Zpg3FjeKmCcWN4aZGZ+KGQXifGL7W9FrcvKzCDMYaaroTbgctCcPfhR6oXYGG8i/ct0mGXTdfZk7Iko+aW+0lPsIVbk3nW2XSUzuNdG1f3b2AQYeGeVNzZcQNC82+tQTYecRPwOFmbejIjKmSEz9QFsY+JK/1nyAvJy6SN57YJW9NyJS1C0q77EnaHoobs00bihvFTROKG8NNjc7E7cIFr6S8us8M8Jo0fo8ZqT/UBBJuDWc/ls3LD8qKjAOmsfwbf9wh4+w5VFdmFMuK9AOmN2drh96oTedb5K2XMuXuqLflz0/sNBO5tydc4YbHj6nWccX4aJerNewMSOnLD2+Re6OXyp6NwQ/gG2i4NZSXSeHIYZKXECv5g6KkdOwwOVPxrjQ3d93z1wmKG7NNG4obxU0TihvDTY3OxA3k7TpiBAOj59dVBfc4LhACCbemxhYpyDpqhg7J2X5Y8jOPSklevRTuOyo5Ow6bYTswQTtEsyMQnIMHTsiO1YekrvLSdnrhDDfMM1pWUC+NDd271opy3jOD3r5w3+Yuh+DojIDCzeuVmqmTxRMXI7mD482/R2an2AuDh+LGbNOG4kZx04TixnBToytxwxAT057fax6Xbni73H43dGiFG2q23j986cwC4Qy3i3Tv+fOCaftNj9+tKw7a7wRHIOHWUFoiBYnDxRMfK7mDBkrhqBHSVNf9L0CKG7NNG4obxU0TihvDTY2uxA0U59aboSuevXujfBBge6ZA0Qg3tMHK2lwjjQ0t9js+wi1umKu0O9d5TcVJeeSOlWZ+0vNnuzfrwuXCzWv9bbXTkiQnZoDkDUmw/u0vR+ZkiNcK5e5CcWO2aUNxo7hpQnFjuKlxOXHDCP1vpxSaGp53ejBgrBOuh5sXE6UflRJLPjsSznDDpPqVlZVy7FjwvXVTX8s2vTnzdh+x3wmey4WbqW0bMdTUtOXGx0jRuNHSWNN1Z5DLQXFjtmlDcaO4aUJxY7ipcTlxAx81tciMlzLNeF2VZaELIrfD7WjNadm1rvJTPUpBuMPN4/FIVVVwHQvQzg9DtCyfXWT9ju538+0q3LzWZ69mWpJ4YqMk77ZB4okZIHWzU2Gb9hrdg+LGbNOG4kZx04TixnBTIxBxA81NrbL4rXyZ8OBmqSgKfMDcrnA73N4tOSEfdtJ4/7MUbujRu23lu2bif9PWsGcO1WW4na8o99W2JcSZDglF48ZIU23PQ5jixmzThuJGcdMkYsUN0x/l5+fbr3Q5fvy45ObmmrZH2pw+fdp80Jqb9ecERahPnjzZfLFeDu8nXtm1rkr27+3+Y7r24IsE+33qlDszM3QFvkBxvrvzuDIUFBQUmC+WQEDP2q2WuGG2hFBQXFzcaW1fTdIUX0/S2waZR6XvpafZS3oGrrN+/foZccvIyLDf1aW6uloOHAhuerBQwWzTzzaIC7INx14bZlv3hjrqKV1lm9ssX77cyFs4cMq2PgcPHhS3C4xxx44dsmzZMikvLzfW7LSeGwXbxtRLsGWceO1t4wO+ZMkSc8FrbhsX+K5du+SJJ56Q7du3m9dO66HgzvHChYvBj3BoaGgwP4Pz5fQzXRXsJ+4QsN/Z2dnmODit152C0Dh37py56z158kNzUVdUVLQtx7ZLSkpk6dKlsmfPnpBu+3IF28bxwoccx7yzbePvxV1rU1OTdRd7sZbmo48/MpLdnWPuL6tXr5ZNmzZdum3rGB3cukU8d90h2bFRkj0wWvb99nYp2blDDvbw+OD44zr7xS9+IVdddZVMnDjRXDfan7PNmzfLqlWrzGvtbTPb9LNt586dJttw7LvKtlAX7Kdb2Xa5gm1f6dnmZnHMNoWC7U2dOlWmTJkSlm07ZVsfmJzbBRcbDviiRYvMh9xpHbcKtr1t2zaZP3++eZyBgHNaz42Cbe/evVvmzZtnPuSa2y4rK5MtW7bIo48+Khs3bjQfOqf1UP2MCwF3j6iGx507Hn3g8SqWoTj9XFcF+4lQx37jSx3HwWm97hT8Lr+oYZ+wrY5/I87zggULZOvWrSHddiAFob548WJzzDvbNv5e/N2oLYC8QZRRa1FfX29+pjvH3F9wV7hmzZpLtl1klew/PSNZA26R7PhY2Rd1qxS8+brveuzh8cG5QLD87Gc/k759+8rzzz/f6bXmVsG+rl271nyhOS13s2DbzDb9bMM1h2zDscdrp/XcKNhPt7ItkHKlZ5ubxSnbNAq29+abb8obb7wRlm07ZZvao1LUlOD5OJ6Ta4MvRDQYh5hoc/LkSRNsqCHSBmIQrnYgEBLsN9rBhBr03ETpjJaWFnO+8QhPG/xdeGx2uXaFoKt96C74UOMurT0NpaVmrDbTkxTjto1ODEnbNj+4zsLdxg09eSG84YDZpp9t/va74Xhs52a2XY7PSra5gVO2aRHONm5O2abeOSEc4eZvwBuOcPM34A1nuIXjg4ZwC1cDXoQbznc4GvAi3K6kBrxm3LbpyaYHqRm3Lbq/HMmw5CqEn0N2TmC2aQNhC+dNKbNNn47ZpknEdk7whxt7XukRTnFDmIcr3PAlFq5wu9J6XjWgJ+nwuy72JL17jDRWh7aBL8WN2aZNOMWN2UZx04TiRnFTg+F2BYSbdYdckzxVPAOjJW/wIEvcoqU2dZZvWQihuDHbtKG4Udw0obgx3NSguEV2uDWUl0nhyGGmXZsnPkYKxyRK0+HQXwsUN2abNhQ3ipsmFDeGmxoUtwgNt8pK8/+2cdsGx5t/69JSzPuhhuLGbNOG4kZx04TixnBTg+IWmeFWaX2pNVWUS2HicPHEx9o9SUdKk0tfchQ3Zps2FDeKmyYUN4abGhS3yAs3jMuGMe6OvDVdcvw9SWP6S13GbPFaf5sbUNyYbdpQ3ChumlDcGG5qUNwiL9xKLGkrWLVKDowa6Ru3LT5WisaNlsYq3+NTN6C4Mdu0obhR3DShuDHc1KC4RaC4FRdL9vg/SV5cjOTdNkg8sQOkbnaq6WHqFhQ3Zps2FDeKmyYUN4abGhS3CBS3DRtk3+0Jkjc4XnIxbtvY0dJYU20vdQeKG7NNG4obxU0TihvDTQ2KW4SFm9crRRNelKzoW321bfGxctiFcds6QnFjtmlDcaO4aUJxY7ipQXGLrHBrKCuV3KF3yr6YARd7klpfcG5DcWO2aUNxo7hpQnFjuKlBcYuccEOPUcySkDngFsmOjxVPbJTUpafZS92F4sZs04biRnHThOLGcFOD4hY54dZQWiIFicMlK7q/7IsdIEVjEqVR6W+guDHbtKG4Udw0obgx3NSguEVGuHlbW6R2erJ4YgbIvvhYyex/sxyZ4964bR2huDHbtKG4Udw0obgx3NSguEVGuDVUlEvB8LskNyFOsqJulfzRI6Wxuspe6j4UN2abNhQ3ipsmFDeGmxoUtwgIN69XaqdNldyB0aYn6d4Bt0hF0hR7oQ4UN2abNhQ3ipsmFDeGmxoUt94fbg3l5VI4cpjpRZpnlcw7h8ihzEx7qQ4UN2abNhQ3ipsmFDeGmxoUt94fbjVTp4jHrm3D9Fb7XnheKqvdHXC3IxQ3Zps2FDeKmyYUN4abGhS33h1uGLetMHG4GWg3LyHOjNvmWbtGDjls+8yZM+Y6uNznD58VBGRZWZk0NDTY73YNxY3Zpg3FjeKmCcWN4aYGxa33hpu3tdX0JM2JGSB5QxJMj9IjGbOl0Aq3qg41bjgeI0aMkAEDBhiBc+L06dMyceJE+fa3vy19+vQxpX///rJ582Z7jc6huDHbtKG4Udw0obgx3NSguPXecENtW8GIoaZtGx6RFo0bZXqSfnD27CXXGo7F888/L3/1V39lROzcuXP2kotg/fvvv9+sk5iYKG+99Za8+uqr8t3vfle+/OUvy/r16+01naG4Mdu0obhR3DShuDHc1KC49c5w81qfoRqM2xYb5ZuTFLMkpKWYHqbtwfkfM2aM/OVf/qWpQYuLi3MUt+XLl8sXvvAFeeSRR8zf7wdB+f3vf1+uu+46OXHihP3up6G4Mdu0obhR3DShuDHc1KC49c5wa6io8NW2JcRJblyMFI0bLU3ttofP2MKFC+Vf/uVf5Bvf+IaMHTtWvvWtb8mtt976KXHDsbrzzjvlq1/9qmnX1hHUvH3pS1+SFStW2O98Goobs00bihvFTROKG8NNDYpbLww3r1dqkqaIxxK23MHx5t+61Fn2Qh/Hjx+X22+/3QgZPnM4Bz/+8Y+NXHUUN3wu8UgUUud0jeIx6dVXXy3PPfec/c6nobgx27ShuFHcNKG4MdzUoLj1vnAzbdsSh5t2bWjfhp6kzR2+vJqbm80Xm5+jR4/Kj370I0dxw9/6zW9+07Rtc/psHjhwQK655hoZPny4tLa22u9eCsWN2aYNxY3ipgnFjeGmBsWtd4Ub5h6tSca4bRfbth1JT7OXdg6ug87EbceOHUbMHn30UfudS6moqDCPUVGDh+PqBMWN2aYNxY3ipknEihsutHAFKxpW44ILR7Bi+AWPxxOWYK2vr5cpU6aYGhdtEDDYbwwzoQ0CBl+keGQYDhAwkJlQ01BaIgX2LAkoxeNGyUd1l//i6krctm3bZsTt8ccft9+5lPLyciNueOzambjhOuvXr58Rtzlz5tjv6oIvk5KSEvuVLsw2/WyDsCLbwiEwzLbQZ1sglJaWSrXy4OJ+0MZ32bJl9itdnLKtD2pj3C64O8rKypI1a9ZIVVWV4zpuFWwbH7KVK1caW8cdmtN6bhRsu6CgwJx0NPzW3DY+XNnZ2fLMM89IZmamkTen9dwo2E984WO/8/PzzXFwWs+tgvO8atUqc2eqvW0EC67zvXv3hm7b1u/50ApqjNuG8dowblvewGg5tmCe/TG+FMgZzrdf0to/KvUPqosvALB9+/ZLxM3r9crJkyfbalH8NW533HFHm7jhCwthgr8Nvxu1D//3f/8nV111lbz22mvm2vvUPrhYcJx37txp2uM5LXezYNvMNv1swzWHbMOx17zemG0hzrYgyoYNG8wTAu1tY3szZsyQadOmhWXbTtnWB4823C5z586VN954Q8aPHy+pqamSnp7uuJ4bBdueNGmS+ZDPmjVLMjIyHNdzo6D2YerUqfL000+bsbHw2mk9N8q8efPkzTffNI+4Xn/9dZk/f77jem4U7Cf2F/uN/dfcb1xbKSkp5nzjUQrOv9N6bhRsOy0tzVznOOah2u+MBQtk7+LFZk5SzJCQFXWrzPyPf5dr/+n/k3/51rdM79Ff/epXpj0aqKysNNX6kC7gJG7+WhLcvaONG4YNgcyh5ObmmsAAuMuFuA0dOrStjRtkAccYf9sC62/DdfaDH/zADCkyatQoc61pfsZxnF955RXTgQKvtfOF2Ra+bMOxx2un9dwo2E9mW+iyLZiC8Shffvll9W3jOGOcy/vuu09929ieU7b1QTW72wV3ZuvWrTOBji8F3Kk4redGwbYx+jsOAGqgtLeNGg0EKmq98NppPTcKqrRxh4KxudauXWteO63nRsF+4k4Y+41HcZr7jfOLu1F82DZt2qS+bVzfkBncmYZk29bvzLf+zX/hOcnD1Fa3DZJ9MQNkWlysXH/DDfLLX/7SlNtuu82IGmrM8PisuLi4rQ2Ok7i1tLSYf3EX/Z3vfEfi4+PbZA6PPv21dbh+8Qi0fY0cah0gfPj7/NfZ//zP/0jfvn3l2WefNe9pf85Q67Ro0SLzWnvbzDb9bEMNBLINx57Z5n7BtkOebUGWxdbNK2o6tbeN7UFWMTRSOLbtlG2qbdzwR4QDfJGFq/FwuNu4TZ482Xxxa8N2IKFrB/LRoXelaNRw067NY5WiMYnS+p7zOYVYdbzO8bd01sYNPVCjoqLMQLtOfzNqF774xS+aL4vOYBs3Zps2aOOGbGMbN11CnW3BwDZuF2GvUpdhr1L2vOopNVMnm/Ha8vzjtmGWhE7A58vfFs1PV+IGkpOT5W/+5m9MY+/2QArQdg1S19X+4Pfjd7NXKbNNCzzKZ69SXdzItmCANLJXqQ+Km8tQ3BhuPQE9SQsTh4un3bhtTYc7P59oKI5G8u25nLihxgy1bp///OdNGxJUx6MRMN7DdFmodesKihuzTRuKG8VNE4obw00NittnO9y8ra1SOz1JcuyepPi3LmO2eL0X5xPtCD7gBw8etF/5wGfvn/7pn+SnP/2pnD171n73UvAzQ4YMMdNbYV5TFLR9Q+P3jjV4HaG4Mdu0obhR3DShuDHc1KC4fbbDzcySgDlJMW5bfKwUjR0ljdWX1qZ1xCnccO0heNCQ298pwQl8PlDTNnPmTNOmraMAdgbFjdmmDcWN4qYJxY3hpgbF7bMbbl7rc1IzLcnMjuCfJeEw2rZ5vfYazoQj3ChuzDZtKG4UN00obgw3NShun91wa6io8NW2JcRJblyMFI0bLY01l+9RRXHTh9lGcdOC4kZxAxQ3l6G4MdyCxuuVmqQppgdprt2T9HDqLHth11Dc9GG2Udy0oLhR3ADFzWUobgy3YDFt2xKHm3ZtgfQkbQ/FTR9mG8VNC4obxQ1Q3FyG4sZwCwav9fM1yVPFM/Bi27a69DR76eWhuOnDbKO4aUFxo7gBipvLUNwYbsGAcdsKRtq1bVYpHJMojbWBjxZOcdOH2UZx04LiRnEDFDeXobgx3ALFN25bsnhi+vvGbYvuL3UZaaYWLlAobvow2yhuWlDcKG6A4uYyFDeGW6CcryiXghF3mZ6k6JBgepJWVdpLA4Pipg+zjeKmBcWN4gYobi5DcWO4BQR6kiZPldy4aF/btoHRAfckbQ/FTR9mG8VNC4obxQ1Q3FyG4sZwC4SG8jIpHDnM9CL1WKVoTGLAPUnbQ3HTh9lGcdOC4kZxAxQ3l6G4MdwCwYzbNjBa8uxx2+owS0I3oLjpw2yjuGlBcaO4AYqby1DcGG6X41xpiRQmDhdP27htI6SprnvnjOKmD7ON4qYFxY3iBihuLkNxY7h1helJOi1JcmIG+HqSxqAn6WzxegPvSdoeips+zDaKmxYUN4oboLi5DMWN4dYVDWVlvjlJ0bYtPtbXk7Q6uJ6k7aG46cNso7hpQXGjuAGKm8tQ3BhuneG1PguobcPsCG2zJMxONT1MuwvFTR9mG8VNC4obxQ1Q3FyG4sZw64yGcozbNtSM25Zrxm0bJU01gc+S4ATFTR9mG8VNC4obxQ1Q3FyG4sZwc8KLcdvQk9QStlx/T9LUmfbS7kNx04fZRnHTguJGcQMUN5ehuDHcnDhXVmp6kpo5SdGTdMxIaarr+ZcQxU0fZhvFTQuKG8UNUNxchuLGcPsU1jqYJcETO8C0bctB27b0NHthz6C46cNso7hpQXGjuAGKm8tQ3BhuHWnAuG0jh0vuoFhT44batsaaKntpz6C46cNso7hpQXGjuAGKm8tQ3Bhu7THjtk1PFk+7cduOZKSJ1/q5UEBx04fZRnHTguJGcQMUN5ehuDHc2nO+4mJPUnRIMOO2VXV/3LaOUNz0YbZR3LSguFHcgJq44UIrKCiwX+ly4sSJsAXrmTNnxOPxhCVY6+vrZfLkyXL06FH7HT0QMNjv06dP2+/ogYDB+T5+/Lj9ji74kEFmnMC4bbmYk/S2QWYIkKMhatvmp6SkRKqrezakSLDgOuvXr58Rtzlz5tjv6oIvk+LiYvuVLsw2/WyDsCLbwiEwzDbnbHObcGSbnxUrVsiyZcvsV7o4ZVsffKm7Xfx3hRs2bDB3SviwOa3nRsG28/PzZe3ateaka28bB3z16tXmTkFz2/gyzc3NlWeffVays7PNa6f13CjYT9wlYL8PHDhgjoPTem4UbBsXOs437g61t43rG9c5jnn7bb9nHf/DWZmSN+y3kmMJG4pn+F1SuS9Ljobwb9yyZYvs2bNHbb+PHTtmrrNf/vKXctVVV8mbb75prjXtz9nevXtl8+bN5rX2tplt+tkGcUK24dgz29wv2HZn2aZVtLPNX7C9WbNmyVtvvRWWbTtlWx98ANwuuMhwoeNuHCcdQe+0nhsF216/fr15hJOZaX1xWncrTuu5UbBtXGxpaWmya9cu1W2jBgAf8IcfflhWrVpl7pSc1nOjYD93795t9hsXHI6D03puFFxbOM/p6emybt069W3j+sZ1jmN+ybatZVlPPSFZUbfKPkva8K9nwkuSi3VC+HlYsGCBqdbX2m88vlizZo1ce+210rdvX/nTn/5krjXtzzjuhufPn29ea2+b2aafbbjmkG049njttJ4bhdnmkG1KRTvb/AXbe/nll2XixIlh2bZTtvVpaWkRjVJZWWlOfHNzs+NyNwvaQeCCb2hocFzuZsHdIO4SUK3utNzNgrvw119/3dwhOi13s+Axiv/uyGm5mwVtbnC+0bbPabmbBY+NUAtwyTG/cEFOFhVKwchhZj5SD8ZtGzVCzlVa67S2XvLzPS34oJeVlTkuc6O0Wn8/rrMbb7zRPCpNSUlxXM/tUl5ebr5UnZa5XZht+tlWVVVlsg3H3mm5m4XZpv99gqKdbe3L4sWLZdGiRY7L3C5O2abWxg3VrDjwGDFeGzzOgaVih7U5deqUCfWmpib7HT1QpTpp0qSwNODFlxj2++TJk/Y7ekAmcL7xxRIO8Pjqkg4hFz6Rw29N981JOiTB9Cg9grZtLnwW8PgGwaoJqu/9nRNQGxAO8AWO2r9wwGzTzza0s0K24dhrw2zT7+wGwpFtflDrtXTpUvuVLk7Zxl6lLsNepex51VBWKgUjh5oZEjBuW9HYUSHtSdoe9irVh9nGXqVasFcpe5UCipvLUNwiO9y8rRdMT1JT23bbIPPv4bQUV2rbAMVNH2YbxU0LihvFDVDcXIbiFqHhZh/zhnKM23aXGbcNw39g3LamEM2S4ATFTR9mG8VNC4obxQ1Q3FyG4haZ4VZrf6HUJE02A+3mDo43/x5OnWXedwuKmz7MNoqbFhQ3ihuguLkMxS0yw+3w+/XS9O5BKUwcbtq1oX1b4eiR0uTyuaC46cNso7hpQXGjuAGKm8tQ3CIw3AoKzKPSIzOmiSd2gGnblhMbJXUhniXBCYqbPsw2ipsWFDeKG6C4uQzFLfLCraC0VIrXrZWSMaMkd1CsqXErHJMoTQrTtVDc9GG2Udy0oLhR3ADFzWUobhEWbl6vFGIk9+fGS15cjOTdliA50f1NbZvXCj63objpw2yjuGlBcaO4AYqby1DcIizcrFKwZrVk3z5Y8uwOCUXjxkhjpTvjtnWE4qYPs43ipgXFjeIGKG4uQ3GLsHCzru/8F56TfTG+tm2euGipc7knaXsobvow2yhuWlDcKG6A4uYyFLfICjfMkuD57e2yb2C06UmKWRLc7knaHoqbPsw2ipsWFDeKG6C4uQzFLYLCzeuVmqmTJTPqVsnGECBxMVI3O9VeqAPFTR9mG8VNC4obxQ1Q3FyG4hY54YbaNozblhndX7IHRkuRwrhtHaG46cNso7hpQXGjuAGKm8tQ3CIj3LytrVI7PVlyYgbIvvhY2Rf1GzkyJ12lJ2l7KG76MNsoblpQ3ChugOLmMhS3yAg31LYVjBxm2rVlRfeXfNS2KYzb1hGKmz7MNoqbFhQ3ihuguLkMxa33h5vXuqZrpyWJJzbK9CTde+vNUjljumnzpg3FTR9mG8VNC4obxQ1Q3FyG4tb7w+18RYUUDL9LchPiJC8+VvbeOUQOe3LspbpQ3PRhtlHctKC4UdwAxc1lKG69O9y86EmaNMUMtIsBd82j0ufGy+GjR+01dKG46cNso7hpQXGjuAGKm8tQ3Hp3uPl6kg4z85HmJcRJQeIIyVmzRg6HIVgBxU0fZhvFTQuKG8UNUNxchuLWe8MNPUZrk6eKJ9Y3S0JuXLTUpqbI/vx8qbW+WMIBxU0fZhvFTQuKG8UNUNxchuLWe8OtobSkrbYN5cDY0dJQWSkFJSVSG0HhRnFjtmlDcaO4aUJxY7ipQXFzL9y8rS1m3DYP5iQdkiA5Mf1947ZZ1/f+goKICjeKG7NNG4obxU0TihvDTQ2Km3vh1lBR3taTFB0Tiu4eLU3VVWZZpIUbxY3Zpg3FjeKmCcWN4aYGxc2lcENPUrRtGxht2rZ54qLlcOoss+gTaxnFTR+KG8VNC4obxU0TihvFTY3eHG4N5WVSMHKoGfrDY5XCMaOksdYXZpEYbhQ3Zps2FDeKmyYUN4abGhQ3F8LNK75x29pq22KkLi3VXkhxo7jpQnGjuGlBcYtAccOFVlBQYL/S5cSJE2EL1jNnzojH4wlLsNbX18vkyZPlaBgGg0XAYL9Pnz5tv6MHAgbn+/jx4/Y7oeO8GbdtuK8nacJAKR43WloscWkPPmSQmXBQUlIi1cpzpOI669evnxG3OXPm2O/qgi+T4uJi+5UuzDb9bIOwItvCITC9NdsCIdKyzc+KFStk2bJl9itdnLKtDy4AtwvuTPLz82XLli0m5BE2Tuu5UbBt7PTGjRvNBae97YqKClm/fr05+Jrbxt0wPmQvvPCCuUvCa6f13CjYT9TyYb/Ly8vNcXBaz42CbUNUcb4PHDgQsm2fsH7PCevarZj0pmRH9xdPQpz1761SMnWyHLfPK7aN6xvXOcJVc7/9ZceOHW21AU7LQ13819l1110nV199tUyZMsW8p/05y87Olu3bt5vX2ttmtulnG0QZ2YZjz2xzv2DbkZZt/oLtpaWlSWpqali27ZRtfXAg3C65ubmycuVKSU9Pl6ysLFPV67SeGwXbXrt2rTnoe/bsMXdKTuu5UbDtTZs2SUpKirnoNLcNWVu9erU8+OCD5m4BAee0nhsF+7lz506z3wgZHAen9dwouLZwnvFBW7NmTci2nW0dz+ylb0vmbYNkX2yUZFnytu+uOyRn1UrJto8ttp2ZmWmucxxzzf32l3nz5pkqfa1t4wt01apVcu2110rfvn3l6aefNtea9md86dKlMnfuXPNae9vMNv1swzWHbMOxx2un9dwovTHbAimRmG3+gu1NnDhRJkyYEJZtO2Vbn6amJnG7NDc3y8GDB82Jb2hocFzHrYJto3p19+7dpmofr53Wc6NgW7hDwgcdd4Xa28az8VdffdXcGWtv++TJk2a/UROguW0UnGec76qqqtBt+3yjvDv5z2aWhNzB8ZITM0BqZr3lW9ZuG2jvgy9w3I1r7zcKvlhwN661bWwH19kNN9xgatxmzpypvt/YHmqeEGpOy90s2DazTT/b0NYJ2YZjr73tXpdtAZZIyzZ/wfYWLlwo8+fPD8u2nbJNrY0bLnLciWNSbm2OHTtmzLWlpcV+R49Tp061HXRt0P5j0qRJpiGvNrjgsN8IOW1aW1vN+UbVfqhoevegFI0cZsZty8W4beNGS1ONc3sL1EKFo9E0wIe8srLSfqUDrjN/GzfckYcDfJEh1MMBs00/2yCNyDYce216W7YFQ6Rlm5/ly5ebDgrhwCnb2KvUZXA3iqpN9irVI+Q9rzBuG3qSWsKG2jZPfGzbuG0dYa9S9irVhL1K2atUC/Yq5XAgqlDcKG49oQE9SUfZPUnNuG2J0nTY+ZhS3ChumlDcKG5aUNwobqpQ3Chu3cVrhVUtZkmIHeAbty02SurS0+yln4biRnHThOJGcdOC4kZxU4XiRnHrLg2lJVKYOMxX22aVorGJbXOSOkFxo7hpQnGjuGlBcaO4qUJxo7h1B29ri9ROTxZPzADJG5JgepLWZaSZWrjOoLhR3DShuFHctKC4UdxUoY9EiX0AABzHSURBVLhR3LpDQ0W5FAy/y/QkRccE9CRtrOq6VxPFjeKmCcWN4qYFxY3ipgrFjeIWNOhJirZt7eYk7awnaXsobhQ3TShuFDctKG4UN1UobhS3YGkoL5cCjNs2aKB4rFI0dpQ01l4+sChuFDdNKG4UNy0obhQ3VShuFLeg8IrUTMW4bRdr2+rSUuyFXUNxo7hpQnGjuGlBcaO4qUJxo7gFwznTk3S4GWjXjNs2eqQ0BVDbBihuFDdNKG4UNy0obhQ3VShuFLdA8ba2Ss20JNODFLVtObFRciTdkhErtAKB4kZx04TiRnHTguJGcVOF4kZxCxTMklAwYqivbRt6ko69fE/S9lDcKG6aUNwoblpQ3ChuqlDcKG6B4LWuzdppSWZ2BNO2bWC0HEbbtiAmD6e4Udw0obhR3LSguFHcVKG4UdwCwfQkHT7UjNuW6x+3rbraXhoYFDeKmyYUN4qbFhQ3ipsqFDeK22XBuG1Jk83j0dzB8QGP29YRihvFTROKG8VNC4obxU0VihvF7XI0lJaanqRmTlKM22Z6kgZ/3ChuFDdNKG4UNy0obhQ3VShuFLeuwNyjNUlTxBPr60mKNm5H0lPtpcFBcaO4aUJxo7hpQXGjuKlCcaO4dUVDSYlvloT4WDN2G2ZJaAqybZsfihvFTROKG8VNC4obxU0VihvFrTO8rS1SOz1ZPBi3bUiCGb+tLmO2qYXrDhQ3ipsmFDeKmxYUN4qbKhQ3iltnNJSXScHwu0xPUjNuG3qSBjFuW0cobhQ3TShuFDctKG4UN1UobhQ3R9CTNHmqGa/NPyfp4ZSZ9sLuQXGjuGlCcaO4aUFxo7ipQnGjuDlhxm1D2zbMkhAfK4WYJaGHoURxo7hpQnGjuGlBcaO4qUJxo7g5UTMV47a1q23DLAk9hOJGcdOE4kZx04LiRnFTheJGcetIQ2mJFCQONzVtqHErHJPY49o2QHGjuGlCcaO4aUFxo7ipQnGjuLXH35MUPUhR25YTG2V6klrJZK/RfShuFDdNKG4UNy0obhQ3VShuFLf2NJSVSsGIob62bSHoSdoeihvFTROKG8VNC4pbBIrb0aNHpaCgwH6ly/Hjx02wtra22u/ocfr0afF4PNLc3Gy/owdCffLkyeaLVRt8kWC/T506Zb+jB75Acb6PHTtmv9MOr1dqpyWZ2RFQ24bJ5N+bk24vDA34kOGLJRyUlJRIVVWV/UoHXGf9+vUz4paRkWG/q0t1dbUUFxfbr3RhtulnG8QF2YZjr80Vm20KRFq2+Vm+fLmRt3DglG198OFzu5w5c8ZseMeOHeYuzWkdtwq2XV5eLlu3bjUXu9M6bhVsGxfa5s2bTcA4reNWwbZLS0tlwoQJcuDAATl79qzjem4VBCv2u7Ky0vwtTuu4VfBlhvNdVlZ26batY3A8f7/sH/Zb8QyK9Q0DMmqEvGe9h2Xtf0d3y8mTJ2Xnzp3m7lB7v1H27t1rgl1r27iuEKi//vWv5eqrr5bk5GT1aw37ipqAPXv2OC53s2DbzDb9bMM1h2zDscdrp/XcKldktimUSMs2f8H25syZI+np6WHZtlO29cnKyhK3C+5OVqxYYXY8MzNTsrOzHddzo2Dba9askdTUVNm9e7epZnZaz42CbW/cuFFSUlJk+/btqtvGBb5q1Sp58MEHzd0CTr7Tem4U7Ce+yLDfGzZsMMfBaT03Cq4tnOe0tDRZvXr1xW1b7+/DdffUE5IV3V/2WdKWFXOrZL3wrGRjnX37PvW7gi3YNsIFjwtxzDX321/mzp0rS5YsUdt2fn6+rFy5Uq699lrp27evPPXUU+Za0/6M4zEGwhWvtbfNbNPPNlxzyDYce7x2Ws+NckVmm0KJxGzzF2wPNwkvvfRSWLbtlG19zp07J26XhoYGU/uza9cuY4tO67hVsG08F0e4oE2C0zpuFWwb7cu2bdsm9fX1juu4VbBt3I2//PLL5u4Ur53Wc6ugBgD7jfYQ2ttGzQfC9eDBgxe3ff681Odky/7hd5mepCgFo0fIh9adK5Z1/B3dLbhDQriG45ij4EONx3Za20b7Jlxn119/valxmz59uvp+Y3t4hANxclruZsG2mW362YYaJ2Qbjj1eO63nVrnisk2pRFq2+Qu2N2/ePCNP4di2U7aptnHD3Xk4QPVybm5u2NqB4C4tEtu4Yb/D1Q4E57tjO5C6GdMkd6CvbRsek9alp9lLQgvbuOkT7jZuzDZdwt3G7UrLNi3Yxk0fxzZu9r+uw55X7FWqhVPPK/+4bbl2bVvhmFHSaH0gQg17lbJXqSaRmm3sVcpepZpwOBCGmxoUN1+4eVtbpWZ6kngwbtuQBDN+W93sVPFaQRRqKG4UN00obhQ3LShuFDdVKG4RKm7WeQcNFeW+cdsS4trGbTsfonHbOkJxo7hpQnGjuGlBcaO4qUJxi0xxe/9YvXldkzxFcjH0hz0naV3qLPO+G1DcKG6aUNwoblpQ3ChuqlDcIlPc6j/4UJoPvSsFI4eJmSUBbdvGYk7S0Ldt80Nxo7hpQnGjuGlBcaO4qUJxizxx8+TmWue9Xo68Nc030K6/tm12ir2WO1DcKG6aUNwoblpQ3ChuqlDcIk/ccg8ckINbNkvJuNHiiY8xNW6FYxKlyeXQobhR3DShuFHctKC4UdxUobhFmLi1tsr+vP2S98Jzsj8uRvJuS5Cc2AG+cdus8HETihvFTROKG8VNC4obxU0ViltkiVuLVfJWrpCcO4dIXkKcmUgePUkbqw75VnARihvFTROKG8VNC4obxU0ViluEidvHH4nn+WclG+O2+WdJQNs2r9dewz0obhQ3TShuFDctKG4UN1UobpElbufKyyT79tskJy7GzJRgatuqdaZKobhR3DShuFHctKC4UdxUobhFkLh5vVIzdbJkRt0qOYMGGnE7nDrTXug+FDeKmyYUN4qbFhQ3ipsqFLfIEbeGslIzJ2lmdH/JRts29CSt1QsaihvFTROKG8VNC4obxU0ViltkiJv3kwtSk5xk5iLNsqQt25K3I+hJqgjFjeKmCcWN4qYFxY3ipgrFLTLEraG0xNS2YYYE1LgVjB4pTUpt2/xQ3ChumlDcKG5aUNwobqpQ3Hq/uHlbW6V2RrJ4YgZI7uB42XtLP6lJnWlq4TShuFHcNKG4Udy0oLhR3FShuPV+cWuoKJeCEXdJLsZti4+VvXfcJu/vz7OX6kFxo7hpQnGjuGlBcaO4qUJx6+Xihp6kyVMk156TNDc+RjKf+5O8f/y4vYIeFDeKmyYUN4qbFhQ3ipsqFLfeLW4N5WVSMHKYmY8UMyXsTxwu+1aukPdPnLDX0IPiRnHThOJGcdOC4kZxU4Xi1rvFrSZpspkdAbVteYNi5RDauuXmyvv19fYaelDcKG6aUNwoblpQ3ChuqlDceq+4XexJGmNq3A6MTZTTB8slt6CA4aYExY3Zpg3FjdmmCcWN4aZGbxc305N0mm/ctrzbEsQTGyVH5sw24eaxrjWGmw4UN2abNhQ3ZpsmFDeGmxq9XdwaykulYMRQU9OWGxcjhWNHmXHbWq1lDDc9KG7MNm0obsw2TShuDDc1erO4ea3rqGZakngGRpm2bWjjdjhtlulh2tLaynBThOLGbNOG4sZs04TixnBTozeL23mM2zYc47b5JpIvGjdKztuzJDDcKG6aMNsoblow2yhugOLmMhQ3F8IN47ZNnSyeuBgzS4InLlYOp860FzLcKG66MNsoblow2yhuQE3cEO75+fn2K12OHz8uubm50tqK1k+6nD592nzQmpub7Xf0wId78uTJJuS0wRcJ9vvUqVP2O6HjfFmpFCYO97Vts0rxuNHyUd3FAMcXKM73sWPH7Hd0KSgoCMsXCiguLpbKykr7lQ6Qh379+hlxy8jIsN/VpaqqSg4cOGC/0oXZpp9tR48eNdmGY6+Nm9l2OZhtutnmZ/ny5UbewoFTtvXB3ZJGKS8vlz179sjZs2cdl7tZcLJ37twpJ0+edFzuZoE0bd++3QSs03K3Cu4KDx48KK+88oqUlZWZ107ruVVOnDhh9hsfcqfl3SrYh3PnpHLyn01PUtS25cRGybszkqWh8eJ6CFScb9ypXPLzCuWc9fft3btXSktLHZe7XbKzs83dmdMyN4r/Orv++uvl6quvlhkzZqhfayi4G/fX/mgXZpt+tlVUVJhsw7HvFdkWYGG26WVb+zJ//nyZO3eu4zK3i1O29cEbbhePxyMrVqyQ9PR0yczMNCfAaT03Cra9Zs0aSU1Nld27d5s7Jaf13CjY9saNGyUlJcV80DW3jUc3q1atkgcffNDcLaCK22k9Nwr2c8eOHWa/N2zYYI6D03pBl/35kr30bcm6fbBkWeK2L3aAZP52iJklYZ+1v1gH1xbOc1pamqxevTp02w6gYNu4vnGd45hrbttf5s2bJ0uWLFHbNmqaVq5cKddee6307dtXnn76aXOtaX/G8RgDwYrX2ttmtulnG645ZBuOPV47redGcS3bAijMNt1s8xdsb8KECfLSSy+FZdtO2dYHd2puF9wlwBq3bdtm7lac1nGrYNuocdq8ebPU19eb107ruVGwLdwZbdq0yVTpa24bjzFQtYyLDXcpeO20nhsF+4lHGdhvtEkI1X5/eOIDKX3jVcmJ7i+ewfGSHdNfKt+aLic//EBOttsGzvOWLVvMnaHmMUdBuxd8keGRgva2URDs+LBrbdt/nV133XWmxi0pKUn1WkPBvuLx0a5duxyXu1mwbWabfrbh0RGyDce+N2RboIXZppdt/oLtoQkI2u+GY9tO2abWxg0XO054OEBVfrgaDyNUcLGFo/Ew2h6Fqx0IGtH6P2ShovnQu3IAbdsGx5mOCUXjRktTla8naXvQiBbnO1ztQCDK4WhXCEpKSkybCE2uhDZu1dXVRiDDAbNNP9v87Xdx7LVxI9sChdmmm21+ULO7bNky+5UuTtnGXqUuw16lIep5hZ6kyVMl156TFOJ2OPUte+GlsOcVe5Vqwmxjr1ItmG3sVQoobi5DcQtNuDWUl0nhyGFiepLGx/pmSaiptpdeCsON4qYJs43ipgWzjeIGKG4uQ3ELTbjVJE0xsyOgtg3TWx1OS7GXfBqGG8VNE2YbxU0LZhvFDVDcXIbi1vNwaygtkYLE4eKJjzU1boWjR0pjJ7VtgOFGcdOE2UZx04LZRnEDFDeXobj1LNy8rS1SMz3ZjNtm2rbFRsmR9DQzV2lnMNwobpow2yhuWjDbKG6A4uYyFLeehVtDWakUjBjqa9sWFyOF40ZLY9Uhe6kzDDeKmybMNoqbFsw2ihuguLkMxa374ea1gqJmWpKpZTO1bQOj5XDaLNPDtCsYbhQ3TZhtFDctmG0UN0BxcxmKW/fDraGi4mJtW3ysGbetsfry4/gw3ChumjDbKG5aMNsoboDi5jIUt26GG8ZtQ0/SuBgzJyk6JhxOnWUv7BqGG8VNE2YbxU0LZhvFDVDcXIbi1r1wQ9u2QsySYPckLRqTKE21gQUGw43ipgmzjeKmBbON4gYobi5DcQs+3NBjFLMkeGLtnqQDo6Vudupl27b5YbhR3DRhtlHctGC2UdwAxc1lKG7Bh5sZt22kr7YNj0hR2xZI2zY/DDeKmybMNoqbFsw2ihuguLkMxS24cPO2tkrt9CTfuG1DEiQndoCvts0KjUBhuFHcNGG2Udy0YLZR3ADFzWUobsGFW0N5uRQMv0tyE+JMxwSM23a+sutx2zrCcKO4acJso7hpwWyjuAGKm8tQ3IIIN69XapOmmoF2Tds269/alJn2wsBhuFHcNGG2Udy0YLZR3ADFzWUoboGHW0N5mRSOHNY2blthkG3b/DDcKG6aMNsoblow2yhugOLmMhS3AMPNP27bwGhT24Zat0DHbetIJIcbPuAHDx60X+lAcWO2aUNxo7hpQnFjuKnxWRK3htJiKUgc7htwd9BAKRw9slu1bSCSw624uFh92xQ3Zps2FDeKmyYUN4abGp8VcfP1JE1u60mK8dvQkxTjuXWHSA03r9crJ06cUL/OKW7MNm0obhQ3TShuDDc1Pivi5mvb5puT1PQkHTtKzlsXa3eJ5HCDvPnJzs6WJ554QmJiYuS3v/2tTJs2zXwWOqOyslImTpwosbGxMnToUBNWgXxmKG7MNm0obhQ3TShuDDc1Pgvi5v3kgtRMTxJPbNTFWRLQti3AWRKciORwA01NTfLkk0/K3//938tXv/pV+fKXv2z+hVj9+7//u2zfvt1e8yIbNmyQ733ve3LNNdeYn0O56qqrjPAdP37cXssZihuzTRuKG8VNE4obw02Nz4K4NVRUSMEIX20bepIWjRkljVWV9tLuEeniNmPGDPmLv/gLGTJkiAk6/E04JggeiNkPfvADEwZ+ysvL5Yc//KF5PzMz06x/6tQpGT9+vHzuc5+TP/7xj11+biluzDZtKG4UN00obgw3Na54cfP3JEWHhMHxZnqrw7OCH7etI5EcbjjeP/3pT+W73/2u4/6/9dZb0qdPH5k0aZL9jsgLL7wgf/3Xfy2rVq2y3/GBz+rw4cPlm9/8ptmnzqC4Mdu0obhR3DShuDHc1LjSxa2hrFQKE0eYmjbUuBWhJ2lNtb20+0RyuFVUVMivf/1refTRRy9p7+YHNWpf+tKXzHJw5swZ+cUvfiH/+Z//6fhIdMGCBfLFL37RtI/rDIobs00bihvFTROKG8NNjStZ3EzbtmS0bRtgt22Lkrq0lB61bfMTyeHW2toq586d6/Ranz9/vnmMOmHCBPMaovfP//zPcvvtt5vj1pGsrCzTRu6BBx5wFEFAcWO2aUNxo7hpQnFjuKlxJYtbQ1mJGbcNtW14RFo0JlHOV/asbZufSA63rkDtGgQLnQ5Q8wYgZv/wD/8g999/v/nbO4L2b+jY0JnYAYobs00bihvFTZOIFTeEe35+fqd37W5y7Ngxyc3NlZaWFvsdPdDIGx809PTTBh9utGVCyGnT3Nxs9vvkyZP2O+2wvuAwbpvHP27bwCg5mm594Yfo2kCtE853fX29/Y4uBQUFYflCAQhX7H9H8MX+2GOPmfZt6Gzgl7Bt27aZHqQYNsQJv7jdeeednYobrrN+/foZcUtPT7ff1aWqqkoOHDhgv9KF2aafbUePHjXZhmOvTZfZ5jKRnG0YXBxDFoWDZcuWydKlS+1XujhlWx/cJWqU6upqc7Ej/J2Wu1nw4UbNAu6UnJa7WdBuaO/evXL27FnH5W4W1LS98cYb5sTjC91pHbcKHtdhv/HF0v79Vquctj6ABcPvahu3rWjcGDlbUSEXQvQ34osE5xvC6rTczYLr2+PxmIBxWt7d4lQb5gTW6yhYOB5o04ZHpOhs0P4Lx0nc8Dv8EuIkbn459P9duM5uvPFGI26pqanmvY5/v9sFj3xRG+C0zO3CbNPPNtT6INtw7J2Wu1k6yzaN0huzLdCCmyPkkdMytwtq2xYvXuy4zO3ilG19Nm7cKG6XLVu2yNy5cyUpKUnWr18vmzZtclzPjYJtL1y4UCZPnixr1qyRzZs3O67nRsG2cMJxZ7hy5UrVbW/dutW0Zxo7dqzMmTPHfEE7redGwX6ihyL2e8mSJW37vcE675utsvfJP0pm1K2SGRslewfcIlsfe1Q2WudpYwiuC1xba9eulSlTppiG9Tj/Tuu5UbBtXN+4znHMQ3m+8eGFEAHc9SJE2hdc2xAyCBdqX/zihcc5I0aMMDVtI0eO/NTjnT179phHpQ899JD5GRSEI76UALYLcbvjjjvaxA1zoa5bt878XRgTbt68efJf//VfphPDH/7wB9VrDQXHGY9o0YHCabmbhdkWnmzDNYdsw7HHa6f13CjYT6ds0yi9NdsCLdOnT5e0tDTV/UbB9p555hl5+umn1fcb23PKtj6LFi0Stws+4DjhGJUdFxy+aJzWc6Ng2xjX6sUXXzQfdu1tp6SkmOEWMjIyzAfdaT03Cp7J42QPGzbMHHu8dlrPjYL9xIcb+z1r1ixzHMwy629YNnmS7IyLkb2WuKHsGpIgq2bOlIX+dXpYcH4hrC+99JL5oLdtW6Fg2/gixXU+derUkGwbvw8Fd5t+Ro0aZUSsffnbv/3btnZrfkpLS+WGG24wy3//+9+bNm4AYud/vFVSUmI6J2CgXdSiQdxQLY+2UwBttzD22913391WE4e7P3yO8ffhEQKuM4wD94UvfEHuuece85725wxfpK+88op5rb1tZlv4si05OfnKyDaFgvPbm7It2PLqq6+ado2a1xoK9hX5+fDDD6vvN7bnlG19GhoaxO2CxqtlZWWye/du8+XhtI5bBdtG474dO3aYxrRO67hVsG20B0CtBB4rOK3jVsG2UVuCE45jj9dO67lVMGcm9huP0dq2bf178M3XzewIZtw269+qt2aYRw8df74nBTVPO3fuNA1Ztfcbj41QiwUhCuW22zc+x6NvbKN9wSMMrOcH7WAwlhukDXfo7du9oard/xrnCbVl119/vfnbAcQO64Dly5dL37595bXXXjOvAdr4+P8u/3WGn7/66qvNFwoe2/mXaxT8DWi4jEdITsvdLNg2sy182YbaYbx2Ws+t4phtSqU3ZlugBR1C0EjfaZmbBfsKYUbtrvZ+Y3tO2abWOQGNSfGIJxwgWMLV6+v06dPmSzUcvb5Qa4LHKOFowOtvD4EGzH6aKsrlwJiRl4zb1hSCcds6gpohnG//4z5tEC7h6BDiBzVtP/rRj0zvUYhXV6AGDUN9oJ0bgrEjuNPEcCCQg87AdebvnIDal3CAtk5ovBwOmG362YYOMcg2HHttnLJNi0jONggjblrDAXIUNbvhwCnbOByIy3A4EF+bKm9rq9ROS5Icf0/S2AFSNztNvHa7rVCCYMX5jsQu8zjuaNOGqapw7nHNo0YTtUH+gi9c3LVB2gDu4L/2ta/JLbfccsm1gkcSGKwX7du66jmI64zDgTDbNIE8cDgQXcKdbRwO5CIUN5ehuPnCraGsrG1OUtOTdOyokI3b1pFIDrfVq1e3tXv7j//4DzP91Y9//ONLCmZJQLso/K0A/+IRJ9rJYaL5qKgoU4OGR58/+clPTA1eV1DcmG3aUNwobppQ3BhualwJ4vah/TihZtpU8cRG2bMkRMvhlFkhG7etI5EcbjNnzpRvf/vb8p3vfEe+8Y1vmJq0juXrX/+6PP74423iBlD7hp5jgwcPlq985Svm5zHJfCBfjBQ3Zps2FDeKmyYUN4abGleEuJ09K82Vh9pq29C+rWjsaGl0cSDFSA43bB8SFkjpjK6WOUFxY7ZpQ3GjuGlCcWO4qRF2cbOO+QcffChHMEtCXIyvJ6klbodTZtpruUMkh1s4oLgx27ShuFHcNKG4MdzUCLe45eQXSPWunVIydvQlPUkbXehJ2p5IDjeMao7zrgnFjdmmDcWN4qYJxY3hpkZYxa252Ywllv/iC7LfkjZf27YoqZud4lrbNj+RHG4YqBdjXGlCcWO2aUNxo7hpQnFjuKkRTnFrss6z552l4rnrdslLGGgekRaNSZTGKvcnCWa46YYbxY3Zpg3FjdmmCcWN4aZGWMWt8bxkj3/GN27bbYMkB+O2paW6Mm5bRxhuFDdNmG0UNy2YbRQ3QHFzmUgVt7MlJZKFgXbjB0puXIwUmnHbDtlL3YXhRnHThNlGcdOC2UZxAxQ3l4lIcfN6pSZpimRG3SqehDjTo7R21lv2QvdhuFHcNGG2Udy0YLZR3ADFzWUiUdwaykolf8RQyYruLzmYJWHcaGms1ptjjuFGcdOE2UZx04LZRnEDFDeXiThx84pUT5kkObFRkjUw2hK3aDmclmIv1IHhRnHThNlGcdOC2UZxExH5/wH/Z67AlSbGpQAAAABJRU5ErkJggg==)
It is clear that there are no points of intersection. Hence, the given equation has no solution.
Maximum solutions possible for a quadratic equation are two. There are instances where the equation has no solutions as well.
Related Questions to study
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Find the simple interest on Rs. 8000 at 16 % per annum for 9 months?
Find the simple interest on Rs. 8000 at 16 % per annum for 9 months?
Maths-General
Maths-
The simple interest on a sum of money at the end of 5 years is of the sum. Find the rate of interest?
The simple interest on a sum of money at the end of 5 years is of the sum. Find the rate of interest?
Maths-General
Maths-
Find the solution of the system of equations.
![y equals 2 x squared plus 5 x minus 30](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIIAAAATCAYAAABcOdUbAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAArlJREFUeNrtWE9kXEEcXisiKkKtiMqhrIiKiFI9VESUioiIWKKiqqK3np5eK3qoUj2siCpREVURYlVFrFIVURWlKiKHKNVzLj3kEGuF5PvxLWM6s3kveZPZ2Pn42Jk37+3PzPf7N5nM5ccxWQW/gz2ZgKZGFnwC/gpbESCohC0IGAY3wzY0PgbBEnjAnL4NPkjp29dYI+Qd1iEm+sRdsAweMhL+BufAnGFtB/gW/EEucM4LxFunwXaO+3h40+f8bi+4TjG4KkgbERtgAWxV5m6Cnw1rv4ITyniccw2D6+DOOSNB+YzqPr7kQrDhQBtPgfOGdXO6Ey6C9w0LI/ClpwLvMfjKMP+Cz2oQEdxw7OlJhBDXbleQ1LinzUk6HrGklpI68Qh8rS26wpyTS5gzk+bOO0wPJkgr2KWMZ8A3MWzxHRHi2J02uvg/cmZj2rN/WvqoQeb21Ql5cVVb9BycdWx8GwuXQcvzUbDI3/cc5LQkQqgy5EoEeqrUOT7srucIkWHNUZ33q+pAvH5XGXeCf3hQrnAV/GQJWSq+sC3ctkSntKr/ONGkBbxFB9k7JSUlsTuNCCv7OUnHGk4ghP/S8qHyu2hRVlqG5ymCONfBEVU70GDdwMgpdxYu7a6HdopBxb4lNbTpqUHwjQeUZzTIOjJUvOgda5C49w7FFFpMF91AxZPdSe0qMV2ZxFzSJ9+zz1wGHzosaFYZYuNUv2sUjKj8ZwqpIU0h9NNhfNhdDwMsGFUU6Hw6lkxCjdhG7jg0cj1mq9fJoiynXYB88CSEj+xusuQoRVDwZHcNm7wjaKFd0g7+ZRdounyKuFbSxDNbapvkxkxcYIVrqilaufHdhvdXLCHONaboZUdsxSSq3Ta0Yhdt9xCdq0JuUHi2YnKR66QeXLB1PiKArUxA06PM8BfQxOhniAloUpwAe83SXer/IqAAAAC4dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnk8L21pPjxtbz49PC9tbz48bW4+MjwvbW4+PG1zdXA+PG1pPng8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPis8L21vPjxtbj41PC9tbj48bWk+eDwvbWk+PG1vPiYjeDIyMTI7PC9tbz48bW4+MzA8L21uPjwvbWF0aD6vqlvEAAAAAElFTkSuQmCC)
y = 2x + 5
Find the solution of the system of equations.
![y equals 2 x squared plus 5 x minus 30](data:image/png;base64,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)
y = 2x + 5
Maths-General
General
Format the sentence into converts Spanish grammar.
"My wife buys a new television for my father”
Format the sentence into converts Spanish grammar.
"My wife buys a new television for my father”
GeneralGeneral
General
Find the helping Verbs and Action Verbs in the following sentences.
Find the helping Verbs and Action Verbs in the following sentences.
GeneralGeneral
Maths-
If Rs. 4000 amounts to Rs. 4500 in 2 years, find how much would it amount in 5 years at the same rate of interest?
If Rs. 4000 amounts to Rs. 4500 in 2 years, find how much would it amount in 5 years at the same rate of interest?
Maths-General
Maths-
Find the solution of the system of equations.
![y equals 3 x squared plus 2 x plus 1](data:image/png;base64,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)
![y equals 2 x plus 1](data:image/png;base64,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)
Find the solution of the system of equations.
![y equals 3 x squared plus 2 x plus 1](data:image/png;base64,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)
![y equals 2 x plus 1](data:image/png;base64,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)
Maths-General
Maths-
Find the solution of the system of equations.
![y equals x squared plus 8 x plus 30](data:image/png;base64,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)
y = 5 - 2x
Find the solution of the system of equations.
![y equals x squared plus 8 x plus 30](data:image/png;base64,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)
y = 5 - 2x
Maths-General
Maths-
At what rate percent per annum will a sum of money double itself in 10 years?
At what rate percent per annum will a sum of money double itself in 10 years?
Maths-General
Maths-
Find the solution of the system of equations.
![y equals x squared plus 6 x plus 9](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG4AAAATCAYAAABx5zjkAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAldJREFUeNrtWNFHQ3EUviaTpJeZpIeYmUkSSTJJTDKZRJJJMnrY0/6B6SEjPeypl6SHJCPpIdlLkkwSM0kPE+mpfyDJzFjn2Lfc3e6uu93763a5Hx/bb9fud8/5nXO+35Wk/4saWCHeEf2SA1vBRUwQi04o7ImyEwL7YYZ464TBXhjAjPMJvMcE8ZT4gcq+wGaxerPmoeeLeCY4BqYiQLxE8kRhE4kK4HsfMYagWYU54jM2FM/4LmKcWCL226HScghkJ45UD4aJhT92ynpQaFFdy8Rd+cIhcUXlwiQxbbJ43jk7Kuvb+K0BTlpQcID2iasm6zZDV1XDYTe563VlJgk9xBeiR+OMpUUtFBUlv0Hc03EPsxNXarMN69Fthq5X4rjK+hDm3Q8iGM5ybBFTglrGPDGDz2HitUUtqYzZdo6AVNCmYoJ069XFLfENBsUFLmDjVOQXejAMG/Ai690C+/0VhD22qOpO3rK02wFqCEYEBoADFEKnSZig20hn4nvcYHOVUVh+ZcVJioUM5psIQfL5ybtn1EITwPZ/UGV9jPguQHfN4HNxIT0oF/NwMj5Um0tgtYVwLsm0YQ5EBCin8ZwVAbqNJm4WZqgJR8Qo8YS4JjBpPpyb2Pz0YqZ4LEpcooWbDqrsbDN0G01cWq1DJHEseBKYNC92ufyBeegeW5Q4t1R/lRbHjGNMIgZhAbr16mLTswR9EpKVQmH9wiL+OCooaW64N7WZkoVjswKclAPiJ85PnMhpi3WHYUyqmMNZrZnKCbuXHNgO3AqmnDDYCyNS/WWuA5vgG+OTsPHE7BAXAAAApnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT55PC9taT48bW8+PTwvbW8+PG1zdXA+PG1pPng8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPis8L21vPjxtbj42PC9tbj48bWk+eDwvbWk+PG1vPis8L21vPjxtbj45PC9tbj48L21hdGg+D+kbOAAAAABJRU5ErkJggg==)
y = 3x
It is not necessary for every set of equation to have solutions. If you graph them and get not intersecting points, then they have no real solutions.
Find the solution of the system of equations.
![y equals x squared plus 6 x plus 9](data:image/png;base64,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)
y = 3x
Maths-General
It is not necessary for every set of equation to have solutions. If you graph them and get not intersecting points, then they have no real solutions.
General
Choose the synonyms of 'research'
Choose the synonyms of 'research'
GeneralGeneral
Maths-
What sum will yield an interest of Rs. 277.50 for 3 years at 12% per annum?
What sum will yield an interest of Rs. 277.50 for 3 years at 12% per annum?
Maths-General
General
Which of the following is an example of parallel structure?
Which of the following is an example of parallel structure?
GeneralGeneral
Maths-
Find the solution of the system of equations.
![y equals x squared minus 5 x minus 8](data:image/png;base64,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)
![y equals negative 2 x minus 4](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFsAAAAPCAYAAACLKbN4AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAY1JREFUeNpjYBh6wBqI1wDxJyD+BcQXgDh6ELrTB4j/MwxxcBCII4GYB8rXAuKjULHBAkBuuzYcAhsbkAfiS4PIPTOBOBlXYM8F4nAs4gVA3DpEAvwHFjGQhzuwiDdD5WhVzO2FsrEGdjwQd6GJcQHxLSAWxqL+PxGYnsASWpRgA+eAWByJnwjEU2jkDjZoDpPHF9heQLwKTaweiGuHQIrmAOKT0BSFDXgAcR+U7YKU6mgBQLkoBy1RYgBQ6r2CxBcF4rtQj9AKUCN3CALxBiB2I6BuNxDbQ1suwjRylx6W3IXTD9+Q2H3Q8pqWAUUpUIIGtAoRagugzUQ9GrrnJBa34AyHw1APKEFTNdMgLjo0gHg2tF4htl3eR+PmIUmJbyEQ+wHxUiCOHcQBLQ6tX1iITP2boJECavueIaIYoXYE4MxqcwdZexUb2AJN2YQAqN7Zhha4oF7d4sEQ2AFQSb9BHtjEZFVQE2wdEEtj0b8c2kIZ0MAGBfJxhlFAF7AN2jkYBTQGOtCycBTQEAAAdPJ3WHyN8L4AAACTdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnk8L21pPjxtbz49PC9tbz48bW8+JiN4MjIxMjs8L21vPjxtbj4yPC9tbj48bWk+eDwvbWk+PG1vPiYjeDIyMTI7PC9tbz48bW4+NDwvbW4+PC9tYXRoPgXdaA4AAAAASUVORK5CYII=)
Find the solution of the system of equations.
![y equals x squared minus 5 x minus 8](data:image/png;base64,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)
![y equals negative 2 x minus 4](data:image/png;base64,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)
Maths-General
Maths-
Consider this simple bivariate data set.
![](data:image/png;base64,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)
a) Draw a scatter plot for the data.
b) Describe the correlation between x and y as positive or negative.
c) Describe the correlation between x and y as strong or weak.
d) Identify any outliers.
Consider this simple bivariate data set.
![](data:image/png;base64,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)
a) Draw a scatter plot for the data.
b) Describe the correlation between x and y as positive or negative.
c) Describe the correlation between x and y as strong or weak.
d) Identify any outliers.
Maths-General